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this._extra&&Object.keys(this._extra).length&&(t.extra=nt.a({},this._extra,t.extra)),this._tags&&Object.keys(this._tags).length&&(t.tags=nt.a({},this._tags,t.tags)),this._user&&Object.keys(this._user).length&&(t.user=nt.a({},this._user,t.user)),this._context&&Object.keys(this._context).length&&(t.contexts=nt.a({},this._context,t.contexts)),this._level&&(t.level=this._level),this._transaction&&(t.transaction=this._transaction),this._span&&(t.contexts=nt.a({trace:this._span.getTraceContext()},t.contexts)),this._applyFingerprint(t),t.breadcrumbs=nt.d(t.breadcrumbs||[],this._breadcrumbs),t.breadcrumbs=t.breadcrumbs.length>0?t.breadcrumbs:void 0,this._notifyEventProcessors(nt.d(r(),this._eventProcessors),t,e)},t}(),ht=n("HhP1"),dt=function(){function t(t,e,n){void 0===e&&(e=new pt),void 0===n&&(n=3),this._version=n,this._stack=[],this._stack.push({client:t,scope:e})}return t.prototype._invokeClient=function(t){for(var e,n=[],r=1;r0?t[t.length-1].scope:void 0);return this.getStack().push({client:this.getClient(),scope:e}),e},t.prototype.popScope=function(){return void 0!==this.getStack().pop()},t.prototype.withScope=function(t){var e=this.pushScope();try{t(e)}finally{this.popScope()}},t.prototype.getClient=function(){return this.getStackTop().client},t.prototype.getScope=function(){return this.getStackTop().scope},t.prototype.getStack=function(){return this._stack},t.prototype.getStackTop=function(){return this._stack[this._stack.length-1]},t.prototype.captureException=function(t,e){var n=this._lastEventId=Object(ft.m)(),r=e;if(!e){var o=void 0;try{throw new Error("Sentry syntheticException")}catch(t){o=t}r={originalException:t,syntheticException:o}}return this._invokeClient("captureException",t,nt.a({},r,{event_id:n})),n},t.prototype.captureMessage=function(t,e,n){var r=this._lastEventId=Object(ft.m)(),o=n;if(!n){var i=void 0;try{throw new Error(t)}catch(t){i=t}o={originalException:t,syntheticException:i}}return this._invokeClient("captureMessage",t,e,nt.a({},o,{event_id:r})),r},t.prototype.captureEvent=function(t,e){var n=this._lastEventId=Object(ft.m)();return this._invokeClient("captureEvent",t,nt.a({},e,{event_id:n})),n},t.prototype.lastEventId=function(){return this._lastEventId},t.prototype.addBreadcrumb=function(t,e){var n=this.getStackTop();if(n.scope&&n.client){var r=n.client.getOptions&&n.client.getOptions()||{},o=r.beforeBreadcrumb,i=void 0===o?null:o,a=r.maxBreadcrumbs,c=void 0===a?100:a;if(!(c<=0)){var u=Object(ft.l)(),s=nt.a({timestamp:u},t),l=i?Object(ft.c)((function(){return i(s,e)})):s;null!==l&&n.scope.addBreadcrumb(l,Math.min(c,100))}}},t.prototype.setUser=function(t){var e=this.getStackTop();e.scope&&e.scope.setUser(t)},t.prototype.setTags=function(t){var e=this.getStackTop();e.scope&&e.scope.setTags(t)},t.prototype.setExtras=function(t){var e=this.getStackTop();e.scope&&e.scope.setExtras(t)},t.prototype.setTag=function(t,e){var n=this.getStackTop();n.scope&&n.scope.setTag(t,e)},t.prototype.setExtra=function(t,e){var n=this.getStackTop();n.scope&&n.scope.setExtra(t,e)},t.prototype.setContext=function(t,e){var n=this.getStackTop();n.scope&&n.scope.setContext(t,e)},t.prototype.configureScope=function(t){var e=this.getStackTop();e.scope&&e.client&&t(e.scope)},t.prototype.run=function(t){var e=a(this);try{t(this)}finally{a(e)}},t.prototype.getIntegration=function(t){var e=this.getClient();if(!e)return null;try{return e.getIntegration(t)}catch(e){return ht.a.warn("Cannot retrieve integration "+t.id+" from the current Hub"),null}},t.prototype.startSpan=function(t,e){return void 0===e&&(e=!1),this._callExtensionMethod("startSpan",t,e)},t.prototype.traceHeaders=function(){return this._callExtensionMethod("traceHeaders")},t.prototype._callExtensionMethod=function(t){for(var e=[],n=1;n1&&(l=p.slice(0,-1).join("/"),f=p.pop()),this._fromComponents({host:c,pass:a,path:l,projectId:f,port:s,protocol:r,user:o})},t.prototype._fromComponents=function(t){this.protocol=t.protocol,this.user=t.user,this.pass=t.pass||"",this.host=t.host,this.port=t.port||"",this.path=t.path||"",this.projectId=t.projectId},t.prototype._validate=function(){var t=this;if(["protocol","user","host","projectId"].forEach((function(e){if(!t[e])throw new vt("Invalid Dsn")})),"http"!==this.protocol&&"https"!==this.protocol)throw new vt("Invalid Dsn");if(this.port&&isNaN(parseInt(this.port,10)))throw new vt("Invalid Dsn")},t}(),mt=n("tZ4O"),bt=function(){function t(t){this.dsn=t,this._dsnObject=new yt(t)}return t.prototype.getDsn=function(){return this._dsnObject},t.prototype.getStoreEndpoint=function(){return""+this._getBaseUrl()+this.getStoreEndpointPath()},t.prototype.getStoreEndpointWithUrlEncodedAuth=function(){var t={sentry_key:this._dsnObject.user,sentry_version:"7"};return this.getStoreEndpoint()+"?"+Object(mt.e)(t)},t.prototype._getBaseUrl=function(){var t=this._dsnObject;return(t.protocol?t.protocol+":":"")+"//"+t.host+(t.port?":"+t.port:"")},t.prototype.getStoreEndpointPath=function(){var t=this._dsnObject;return(t.path?"/"+t.path:"")+"/api/"+t.projectId+"/store/"},t.prototype.getRequestHeaders=function(t,e){var n=this._dsnObject,r=["Sentry sentry_version=7"];return r.push("sentry_client="+t+"/"+e),r.push("sentry_key="+n.user),n.pass&&r.push("sentry_secret="+n.pass),{"Content-Type":"application/json","X-Sentry-Auth":r.join(", ")}},t.prototype.getReportDialogEndpoint=function(t){void 0===t&&(t={});var e=this._dsnObject,n=this._getBaseUrl()+(e.path?"/"+e.path:"")+"/api/embed/error-page/",r=[];for(var o in r.push("dsn="+e.toString()),t)if("user"===o){if(!t.user)continue;t.user.name&&r.push("name="+encodeURIComponent(t.user.name)),t.user.email&&r.push("email="+encodeURIComponent(t.user.email))}else r.push(encodeURIComponent(o)+"="+encodeURIComponent(t[o]));return r.length?n+"?"+r.join("&"):n},t}(),Et=n("dbjm"),Ot=[],xt=function(){function t(t,e){this._integrations={},this._processing=!1,this._backend=new t(e),this._options=e,e.dsn&&(this._dsn=new yt(e.dsn))}return t.prototype.captureException=function(t,e,n){var r=this,o=e&&e.event_id;return this._processing=!0,this._getBackend().eventFromException(t,e).then((function(t){return r._processEvent(t,e,n)})).then((function(t){o=t&&t.event_id,r._processing=!1})).then(null,(function(t){ht.a.error(t),r._processing=!1})),o},t.prototype.captureMessage=function(t,e,n,r){var o=this,i=n&&n.event_id;return this._processing=!0,(Object(it.i)(t)?this._getBackend().eventFromMessage(""+t,e,n):this._getBackend().eventFromException(t,n)).then((function(t){return o._processEvent(t,n,r)})).then((function(t){i=t&&t.event_id,o._processing=!1})).then(null,(function(t){ht.a.error(t),o._processing=!1})),i},t.prototype.captureEvent=function(t,e,n){var r=this,o=e&&e.event_id;return this._processing=!0,this._processEvent(t,e,n).then((function(t){o=t&&t.event_id,r._processing=!1})).then(null,(function(t){ht.a.error(t),r._processing=!1})),o},t.prototype.getDsn=function(){return this._dsn},t.prototype.getOptions=function(){return this._options},t.prototype.flush=function(t){var e=this;return this._isClientProcessing(t).then((function(n){return clearInterval(n.interval),e._getBackend().getTransport().close(t).then((function(t){return n.ready&&t}))}))},t.prototype.close=function(t){var e=this;return this.flush(t).then((function(t){return e.getOptions().enabled=!1,t}))},t.prototype.setupIntegrations=function(){this._isEnabled()&&(this._integrations=w(this._options))},t.prototype.getIntegration=function(t){try{return this._integrations[t.id]||null}catch(e){return ht.a.warn("Cannot retrieve integration "+t.id+" from the current Client"),null}},t.prototype._isClientProcessing=function(t){var e=this;return new lt((function(n){var r=0,o=0;clearInterval(o),o=setInterval((function(){e._processing?(r+=1,t&&r>=t&&n({interval:o,ready:!1})):n({interval:o,ready:!0})}),1)}))},t.prototype._getBackend=function(){return this._backend},t.prototype._isEnabled=function(){return!1!==this.getOptions().enabled&&void 0!==this._dsn},t.prototype._prepareEvent=function(t,e,n){var r=this,o=this.getOptions(),i=o.environment,a=o.release,c=o.dist,u=o.maxValueLength,s=void 0===u?250:u,l=o.normalizeDepth,f=void 0===l?3:l,p=nt.a({},t);void 0===p.environment&&void 0!==i&&(p.environment=i),void 0===p.release&&void 0!==a&&(p.release=a),void 0===p.dist&&void 0!==c&&(p.dist=c),p.message&&(p.message=Object(Et.d)(p.message,s));var h=p.exception&&p.exception.values&&p.exception.values[0];h&&h.value&&(h.value=Object(Et.d)(h.value,s));var d=p.request;d&&d.url&&(d.url=Object(Et.d)(d.url,s)),void 0===p.event_id&&(p.event_id=n&&n.event_id?n.event_id:Object(ft.m)()),this._addIntegrations(p.sdk);var _=lt.resolve(p);return e&&(_=e.applyToEvent(p,n)),_.then((function(t){return"number"==typeof f&&f>0?r._normalizeEvent(t,f):t}))},t.prototype._normalizeEvent=function(t,e){return t?nt.a({},t,t.breadcrumbs&&{breadcrumbs:t.breadcrumbs.map((function(t){return nt.a({},t,t.data&&{data:Object(mt.c)(t.data,e)})}))},t.user&&{user:Object(mt.c)(t.user,e)},t.contexts&&{contexts:Object(mt.c)(t.contexts,e)},t.extra&&{extra:Object(mt.c)(t.extra,e)}):null},t.prototype._addIntegrations=function(t){var e=Object.keys(this._integrations);t&&e.length>0&&(t.integrations=e)},t.prototype._processEvent=function(t,e,n){var r=this,o=this.getOptions(),i=o.beforeSend,a=o.sampleRate;return this._isEnabled()?"number"==typeof a&&Math.random()>a?lt.reject("This event has been sampled, will not send event."):new lt((function(o,a){r._prepareEvent(t,n,e).then((function(t){if(null!==t){var n=t;if(e&&e.data&&!0===e.data.__sentry__||!i)return r._getBackend().sendEvent(n),void o(n);var c=i(t,e);if(void 0===c)ht.a.error("`beforeSend` method has to 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e=Object(ft.f)(),n=t.from,r=t.to,o=Object(ft.k)(e.location.href),i=Object(ft.k)(n),a=Object(ft.k)(r);i.path||(i=o),o.protocol===a.protocol&&o.host===a.host&&(r=a.relative),o.protocol===i.protocol&&o.host===i.host&&(n=i.relative),c().addBreadcrumb({category:"navigation",data:{from:n,to:r}})},t.prototype.setupOnce=function(){var t=this;this._options.console&&U({callback:function(){for(var e=[],n=0;n0?e:Object(ft.g)();return 0===t.exception.values[0].stacktrace.frames.length&&t.exception.values[0].stacktrace.frames.push({colno:o,filename:a,function:"?",in_app:!0,lineno:i}),t},t.id="GlobalHandlers",t}(),te=function(){function t(e){void 0===e&&(e={}),this.name=t.id,this._key=e.key||"cause",this._limit=e.limit||5}return t.prototype.setupOnce=function(){o((function(e,n){var r=c().getIntegration(t);return r?r._handler(e,n):e}))},t.prototype._handler=function(t,e){if(!(t.exception&&t.exception.values&&e&&Object(it.g)(e.originalException,Error)))return t;var 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\t__webpack_require__.oe = function(err) { console.error(err); throw err; };\n\n \tvar jsonpArray = window[\"webpackJsonp\"] = window[\"webpackJsonp\"] || [];\n \tvar oldJsonpFunction = jsonpArray.push.bind(jsonpArray);\n \tjsonpArray.push = webpackJsonpCallback;\n \tjsonpArray = jsonpArray.slice();\n \tfor(var i = 0; i < jsonpArray.length; i++) webpackJsonpCallback(jsonpArray[i]);\n \tvar parentJsonpFunction = oldJsonpFunction;\n\n\n \t// Load entry module and return exports\n \treturn __webpack_require__(__webpack_require__.s = 0);\n","import { Event, Integration, StackFrame, WrappedFunction } from '@sentry/types';\n\nimport { isString } from './is';\nimport { snipLine } from './string';\n\n/** Internal */\ninterface SentryGlobal {\n Sentry?: {\n Integrations?: Integration[];\n };\n SENTRY_ENVIRONMENT?: string;\n SENTRY_DSN?: string;\n SENTRY_RELEASE?: {\n id?: string;\n };\n __SENTRY__: {\n globalEventProcessors: any;\n hub: any;\n logger: any;\n };\n}\n\n/**\n * Requires a module which is protected against bundler minification.\n *\n * @param request The module path to resolve\n */\nexport function dynamicRequire(mod: any, request: string): any {\n // tslint:disable-next-line: no-unsafe-any\n return mod.require(request);\n}\n\n/**\n * Checks whether we're in the Node.js or Browser environment\n *\n * @returns Answer to given question\n */\nexport function isNodeEnv(): boolean {\n // tslint:disable:strict-type-predicates\n return Object.prototype.toString.call(typeof process !== 'undefined' ? process : 0) === '[object process]';\n}\n\nconst fallbackGlobalObject = {};\n\n/**\n * Safely get global scope object\n *\n * @returns Global scope object\n */\nexport function getGlobalObject(): T & SentryGlobal {\n return (isNodeEnv()\n ? global\n : typeof window !== 'undefined'\n ? window\n : typeof self !== 'undefined'\n ? self\n : fallbackGlobalObject) as T & SentryGlobal;\n}\n// tslint:enable:strict-type-predicates\n\n/**\n * Extended Window interface that allows for Crypto API usage in IE browsers\n */\ninterface MsCryptoWindow extends Window {\n msCrypto?: Crypto;\n}\n\n/**\n * UUID4 generator\n *\n * @returns string Generated UUID4.\n */\nexport function uuid4(): string {\n const global = getGlobalObject() as MsCryptoWindow;\n const crypto = global.crypto || global.msCrypto;\n\n if (!(crypto === void 0) && crypto.getRandomValues) {\n // Use window.crypto API if available\n const arr = new Uint16Array(8);\n crypto.getRandomValues(arr);\n\n // set 4 in byte 7\n // tslint:disable-next-line:no-bitwise\n arr[3] = (arr[3] & 0xfff) | 0x4000;\n // set 2 most significant bits of byte 9 to '10'\n // tslint:disable-next-line:no-bitwise\n arr[4] = (arr[4] & 0x3fff) | 0x8000;\n\n const pad = (num: number): string => {\n let v = num.toString(16);\n while (v.length < 4) {\n v = `0${v}`;\n }\n return v;\n };\n\n return (\n pad(arr[0]) + pad(arr[1]) + pad(arr[2]) + pad(arr[3]) + pad(arr[4]) + pad(arr[5]) + pad(arr[6]) + pad(arr[7])\n );\n }\n // http://stackoverflow.com/questions/105034/how-to-create-a-guid-uuid-in-javascript/2117523#2117523\n return 'xxxxxxxxxxxx4xxxyxxxxxxxxxxxxxxx'.replace(/[xy]/g, c => {\n // tslint:disable-next-line:no-bitwise\n const r = (Math.random() * 16) | 0;\n // tslint:disable-next-line:no-bitwise\n const v = c === 'x' ? r : (r & 0x3) | 0x8;\n return v.toString(16);\n });\n}\n\n/**\n * Parses string form of URL into an object\n * // borrowed from https://tools.ietf.org/html/rfc3986#appendix-B\n * // intentionally using regex and not href parsing trick because React Native and other\n * // environments where DOM might not be available\n * @returns parsed URL object\n */\nexport function parseUrl(\n url: string,\n): {\n host?: string;\n path?: string;\n protocol?: string;\n relative?: string;\n} {\n if (!url) {\n return {};\n }\n\n const match = url.match(/^(([^:\\/?#]+):)?(\\/\\/([^\\/?#]*))?([^?#]*)(\\?([^#]*))?(#(.*))?$/);\n\n if (!match) {\n return {};\n }\n\n // coerce to undefined values to empty string so we don't get 'undefined'\n const query = match[6] || '';\n const fragment = match[8] || '';\n return {\n host: match[4],\n path: match[5],\n protocol: match[2],\n relative: match[5] + query + fragment, // everything minus origin\n };\n}\n\n/**\n * Extracts either message or type+value from an event that can be used for user-facing logs\n * @returns event's description\n */\nexport function getEventDescription(event: Event): string {\n if (event.message) {\n return event.message;\n }\n if (event.exception && event.exception.values && event.exception.values[0]) {\n const exception = event.exception.values[0];\n\n if (exception.type && exception.value) {\n return `${exception.type}: ${exception.value}`;\n }\n return exception.type || exception.value || event.event_id || '';\n }\n return event.event_id || '';\n}\n\n/** JSDoc */\ninterface ExtensibleConsole extends Console {\n [key: string]: any;\n}\n\n/** JSDoc */\nexport function consoleSandbox(callback: () => any): any {\n const global = getGlobalObject();\n const levels = ['debug', 'info', 'warn', 'error', 'log', 'assert'];\n\n if (!('console' in global)) {\n return callback();\n }\n\n const originalConsole = global.console as ExtensibleConsole;\n const wrappedLevels: { [key: string]: any } = {};\n\n // Restore all wrapped console methods\n levels.forEach(level => {\n if (level in global.console && (originalConsole[level] as WrappedFunction).__sentry_original__) {\n wrappedLevels[level] = originalConsole[level] as WrappedFunction;\n originalConsole[level] = (originalConsole[level] as WrappedFunction).__sentry_original__;\n }\n });\n\n // Perform callback manipulations\n const result = callback();\n\n // Revert restoration to wrapped state\n Object.keys(wrappedLevels).forEach(level => {\n originalConsole[level] = wrappedLevels[level];\n });\n\n return result;\n}\n\n/**\n * Adds exception values, type and value to an synthetic Exception.\n * @param event The event to modify.\n * @param value Value of the exception.\n * @param type Type of the exception.\n * @hidden\n */\nexport function addExceptionTypeValue(event: Event, value?: string, type?: string): void {\n event.exception = event.exception || {};\n event.exception.values = event.exception.values || [];\n event.exception.values[0] = event.exception.values[0] || {};\n event.exception.values[0].value = event.exception.values[0].value || value || '';\n event.exception.values[0].type = event.exception.values[0].type || type || 'Error';\n}\n\n/**\n * Adds exception mechanism to a given event.\n * @param event The event to modify.\n * @param mechanism Mechanism of the mechanism.\n * @hidden\n */\nexport function addExceptionMechanism(\n event: Event,\n mechanism: {\n [key: string]: any;\n } = {},\n): void {\n // TODO: Use real type with `keyof Mechanism` thingy and maybe make it better?\n try {\n // @ts-ignore\n // tslint:disable:no-non-null-assertion\n event.exception!.values![0].mechanism = event.exception!.values![0].mechanism || {};\n Object.keys(mechanism).forEach(key => {\n // @ts-ignore\n event.exception!.values![0].mechanism[key] = mechanism[key];\n });\n } catch (_oO) {\n // no-empty\n }\n}\n\n/**\n * A safe form of location.href\n */\nexport function getLocationHref(): string {\n try {\n return document.location.href;\n } catch (oO) {\n return '';\n }\n}\n\n/**\n * Given a child DOM element, returns a query-selector statement describing that\n * and its ancestors\n * e.g. [HTMLElement] => body > div > input#foo.btn[name=baz]\n * @returns generated DOM path\n */\nexport function htmlTreeAsString(elem: unknown): string {\n type SimpleNode = {\n parentNode: SimpleNode;\n } | null;\n\n // try/catch both:\n // - accessing event.target (see getsentry/raven-js#838, #768)\n // - `htmlTreeAsString` because it's complex, and just accessing the DOM incorrectly\n // - can throw an exception in some circumstances.\n try {\n let currentElem = elem as SimpleNode;\n const MAX_TRAVERSE_HEIGHT = 5;\n const MAX_OUTPUT_LEN = 80;\n const out = [];\n let height = 0;\n let len = 0;\n const separator = ' > ';\n const sepLength = separator.length;\n let nextStr;\n\n while (currentElem && height++ < MAX_TRAVERSE_HEIGHT) {\n nextStr = _htmlElementAsString(currentElem);\n // bail out if\n // - nextStr is the 'html' element\n // - the length of the string that would be created exceeds MAX_OUTPUT_LEN\n // (ignore this limit if we are on the first iteration)\n if (nextStr === 'html' || (height > 1 && len + out.length * sepLength + nextStr.length >= MAX_OUTPUT_LEN)) {\n break;\n }\n\n out.push(nextStr);\n\n len += nextStr.length;\n currentElem = currentElem.parentNode;\n }\n\n return out.reverse().join(separator);\n } catch (_oO) {\n return '';\n }\n}\n\n/**\n * Returns a simple, query-selector representation of a DOM element\n * e.g. [HTMLElement] => input#foo.btn[name=baz]\n * @returns generated DOM path\n */\nfunction _htmlElementAsString(el: unknown): string {\n const elem = el as {\n getAttribute(key: string): string; // tslint:disable-line:completed-docs\n tagName?: string;\n id?: string;\n className?: string;\n };\n\n const out = [];\n let className;\n let classes;\n let key;\n let attr;\n let i;\n\n if (!elem || !elem.tagName) {\n return '';\n }\n\n out.push(elem.tagName.toLowerCase());\n if (elem.id) {\n out.push(`#${elem.id}`);\n }\n\n className = elem.className;\n if (className && isString(className)) {\n classes = className.split(/\\s+/);\n for (i = 0; i < classes.length; i++) {\n out.push(`.${classes[i]}`);\n }\n }\n const attrWhitelist = ['type', 'name', 'title', 'alt'];\n for (i = 0; i < attrWhitelist.length; i++) {\n key = attrWhitelist[i];\n attr = elem.getAttribute(key);\n if (attr) {\n out.push(`[${key}=\"${attr}\"]`);\n }\n }\n return out.join('');\n}\n\nconst INITIAL_TIME = Date.now();\nlet prevNow = 0;\n\n/**\n * Cross platform compatible partial performance implementation\n */\ninterface CrossPlatformPerformance {\n /**\n * Returns the current timestamp in ms\n */\n now(): number;\n timeOrigin: number;\n}\n\nconst performanceFallback: CrossPlatformPerformance = {\n now(): number {\n let now = Date.now() - INITIAL_TIME;\n if (now < prevNow) {\n now = prevNow;\n }\n prevNow = now;\n return now;\n },\n timeOrigin: INITIAL_TIME,\n};\n\nexport const crossPlatformPerformance: CrossPlatformPerformance = (() => {\n if (isNodeEnv()) {\n try {\n const perfHooks = dynamicRequire(module, 'perf_hooks') as { performance: CrossPlatformPerformance };\n return perfHooks.performance;\n } catch (_) {\n return performanceFallback;\n }\n }\n\n if (getGlobalObject().performance) {\n // Polyfill for performance.timeOrigin.\n //\n // While performance.timing.navigationStart is deprecated in favor of performance.timeOrigin, performance.timeOrigin\n // is not as widely supported. Namely, performance.timeOrigin is undefined in Safari as of writing.\n // tslint:disable-next-line:strict-type-predicates\n if (performance.timeOrigin === undefined) {\n // As of writing, performance.timing is not available in Web Workers in mainstream browsers, so it is not always a\n // valid fallback. In the absence of a initial time provided by the browser, fallback to INITIAL_TIME.\n // @ts-ignore\n // tslint:disable-next-line:deprecation\n performance.timeOrigin = (performance.timing && performance.timing.navigationStart) || INITIAL_TIME;\n }\n }\n\n return getGlobalObject().performance || performanceFallback;\n})();\n\n/**\n * Returns a timestamp in seconds with milliseconds precision since the UNIX epoch calculated with the monotonic clock.\n */\nexport function timestampWithMs(): number {\n return (crossPlatformPerformance.timeOrigin + crossPlatformPerformance.now()) / 1000;\n}\n\n// https://semver.org/#is-there-a-suggested-regular-expression-regex-to-check-a-semver-string\nconst SEMVER_REGEXP = /^(0|[1-9]\\d*)\\.(0|[1-9]\\d*)\\.(0|[1-9]\\d*)(?:-((?:0|[1-9]\\d*|\\d*[a-zA-Z-][0-9a-zA-Z-]*)(?:\\.(?:0|[1-9]\\d*|\\d*[a-zA-Z-][0-9a-zA-Z-]*))*))?(?:\\+([0-9a-zA-Z-]+(?:\\.[0-9a-zA-Z-]+)*))?$/;\n\n/**\n * Represents Semantic Versioning object\n */\ninterface SemVer {\n major?: number;\n minor?: number;\n patch?: number;\n prerelease?: string;\n buildmetadata?: string;\n}\n\n/**\n * Parses input into a SemVer interface\n * @param input string representation of a semver version\n */\nexport function parseSemver(input: string): SemVer {\n const match = input.match(SEMVER_REGEXP) || [];\n const major = parseInt(match[1], 10);\n const minor = parseInt(match[2], 10);\n const patch = parseInt(match[3], 10);\n return {\n buildmetadata: match[5],\n major: isNaN(major) ? undefined : major,\n minor: isNaN(minor) ? undefined : minor,\n patch: isNaN(patch) ? undefined : patch,\n prerelease: match[4],\n };\n}\n\nconst defaultRetryAfter = 60 * 1000; // 60 seconds\n\n/**\n * Extracts Retry-After value from the request header or returns default value\n * @param now current unix timestamp\n * @param header string representation of 'Retry-After' header\n */\nexport function parseRetryAfterHeader(now: number, header?: string | number | null): number {\n if (!header) {\n return defaultRetryAfter;\n }\n\n const headerDelay = parseInt(`${header}`, 10);\n if (!isNaN(headerDelay)) {\n return headerDelay * 1000;\n }\n\n const headerDate = Date.parse(`${header}`);\n if (!isNaN(headerDate)) {\n return headerDate - now;\n }\n\n return defaultRetryAfter;\n}\n\nconst defaultFunctionName = '';\n\n/**\n * Safely extract function name from itself\n */\nexport function getFunctionName(fn: unknown): string {\n try {\n if (!fn || typeof fn !== 'function') {\n return defaultFunctionName;\n }\n return fn.name || defaultFunctionName;\n } catch (e) {\n // Just accessing custom props in some Selenium environments\n // can cause a \"Permission denied\" exception (see raven-js#495).\n return defaultFunctionName;\n }\n}\n\n/**\n * This function adds context (pre/post/line) lines to the provided frame\n *\n * @param lines string[] containing all lines\n * @param frame StackFrame that will be mutated\n * @param linesOfContext number of context lines we want to add pre/post\n */\nexport function addContextToFrame(lines: string[], frame: StackFrame, linesOfContext: number = 5): void {\n const lineno = frame.lineno || 0;\n const maxLines = lines.length;\n const sourceLine = Math.max(Math.min(maxLines, lineno - 1), 0);\n\n frame.pre_context = lines\n .slice(Math.max(0, sourceLine - linesOfContext), sourceLine)\n .map((line: string) => snipLine(line, 0));\n\n frame.context_line = snipLine(lines[Math.min(maxLines - 1, sourceLine)], frame.colno || 0);\n\n frame.post_context = lines\n .slice(Math.min(sourceLine + 1, maxLines), sourceLine + 1 + linesOfContext)\n .map((line: string) => snipLine(line, 0));\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./NetLogo.js\") );\n\t\t\t}, \"route-NetLogo\");\n\t\t}\n\n\t\texport default Async(load);\n\t","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./VlDiGeometria.js\") );\n\t\t\t}, \"route-VlDiGeometria\");\n\t\t}\n\n\t\texport default Async(load);\n\t","// tslint:disable:no-unsafe-any\n/**\n * Memo class used for decycle json objects. Uses WeakSet if available otherwise array.\n */\nexport class Memo {\n /** Determines if WeakSet is available */\n private readonly _hasWeakSet: boolean;\n /** Either WeakSet or Array */\n private readonly _inner: any;\n\n public constructor() {\n // tslint:disable-next-line\n this._hasWeakSet = typeof WeakSet === 'function';\n this._inner = this._hasWeakSet ? new WeakSet() : [];\n }\n\n /**\n * Sets obj to remember.\n * @param obj Object to remember\n */\n public memoize(obj: any): boolean {\n if (this._hasWeakSet) {\n if (this._inner.has(obj)) {\n return true;\n }\n this._inner.add(obj);\n return false;\n }\n // tslint:disable-next-line:prefer-for-of\n for (let i = 0; i < this._inner.length; i++) {\n const value = this._inner[i];\n if (value === obj) {\n return true;\n }\n }\n this._inner.push(obj);\n return false;\n }\n\n /**\n * Removes object from internal storage.\n * @param obj Object to forget\n */\n public unmemoize(obj: any): void {\n if (this._hasWeakSet) {\n this._inner.delete(obj);\n } else {\n for (let i = 0; i < this._inner.length; i++) {\n if (this._inner[i] === obj) {\n this._inner.splice(i, 1);\n break;\n }\n }\n }\n }\n}\n","import {createContext} from \"preact\";\n\nexport default createContext(\"White\");\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./BasiDiDati.js\") );\n\t\t\t}, \"route-BasiDiDati\");\n\t\t}\n\n\t\texport default Async(load);\n\t","/**\n * Checks whether given value's type is one of a few Error or Error-like\n * {@link isError}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isError(wat: any): boolean {\n switch (Object.prototype.toString.call(wat)) {\n case '[object Error]':\n return true;\n case '[object Exception]':\n return true;\n case '[object DOMException]':\n return true;\n default:\n return isInstanceOf(wat, Error);\n }\n}\n\n/**\n * Checks whether given value's type is ErrorEvent\n * {@link isErrorEvent}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isErrorEvent(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object ErrorEvent]';\n}\n\n/**\n * Checks whether given value's type is DOMError\n * {@link isDOMError}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isDOMError(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object DOMError]';\n}\n\n/**\n * Checks whether given value's type is DOMException\n * {@link isDOMException}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isDOMException(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object DOMException]';\n}\n\n/**\n * Checks whether given value's type is a string\n * {@link isString}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isString(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object String]';\n}\n\n/**\n * Checks whether given value's is a primitive (undefined, null, number, boolean, string)\n * {@link isPrimitive}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isPrimitive(wat: any): boolean {\n return wat === null || (typeof wat !== 'object' && typeof wat !== 'function');\n}\n\n/**\n * Checks whether given value's type is an object literal\n * {@link isPlainObject}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isPlainObject(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object Object]';\n}\n\n/**\n * Checks whether given value's type is an Event instance\n * {@link isEvent}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isEvent(wat: any): boolean {\n // tslint:disable-next-line:strict-type-predicates\n return typeof Event !== 'undefined' && isInstanceOf(wat, Event);\n}\n\n/**\n * Checks whether given value's type is an Element instance\n * {@link isElement}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isElement(wat: any): boolean {\n // tslint:disable-next-line:strict-type-predicates\n return typeof Element !== 'undefined' && isInstanceOf(wat, Element);\n}\n\n/**\n * Checks whether given value's type is an regexp\n * {@link isRegExp}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isRegExp(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object RegExp]';\n}\n\n/**\n * Checks whether given value has a then function.\n * @param wat A value to be checked.\n */\nexport function isThenable(wat: any): boolean {\n // tslint:disable:no-unsafe-any\n return Boolean(wat && wat.then && typeof wat.then === 'function');\n // tslint:enable:no-unsafe-any\n}\n\n/**\n * Checks whether given value's type is a SyntheticEvent\n * {@link isSyntheticEvent}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isSyntheticEvent(wat: any): boolean {\n // tslint:disable-next-line:no-unsafe-any\n return isPlainObject(wat) && 'nativeEvent' in wat && 'preventDefault' in wat && 'stopPropagation' in wat;\n}\n/**\n * Checks whether given value's type is an instance of provided constructor.\n * {@link isInstanceOf}.\n *\n * @param wat A value to be checked.\n * @param base A constructor to be used in a check.\n * @returns A boolean representing the result.\n */\nexport function isInstanceOf(wat: any, base: any): boolean {\n try {\n // tslint:disable-next-line:no-unsafe-any\n return wat instanceof base;\n } catch (_e) {\n return false;\n }\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"footer\":\"footer__3lyac\"};","// Slightly modified (no IE8 support, ES6) and transcribed to TypeScript\n// https://raw.githubusercontent.com/calvinmetcalf/rollup-plugin-node-builtins/master/src/es6/path.js\n\n/** JSDoc */\nfunction normalizeArray(parts: string[], allowAboveRoot?: boolean): string[] {\n // if the path tries to go above the root, `up` ends up > 0\n let up = 0;\n for (let i = parts.length - 1; i >= 0; i--) {\n const last = parts[i];\n if (last === '.') {\n parts.splice(i, 1);\n } else if (last === '..') {\n parts.splice(i, 1);\n up++;\n } else if (up) {\n parts.splice(i, 1);\n up--;\n }\n }\n\n // if the path is allowed to go above the root, restore leading ..s\n if (allowAboveRoot) {\n for (; up--; up) {\n parts.unshift('..');\n }\n }\n\n return parts;\n}\n\n// Split a filename into [root, dir, basename, ext], unix version\n// 'root' is just a slash, or nothing.\nconst splitPathRe = /^(\\/?|)([\\s\\S]*?)((?:\\.{1,2}|[^\\/]+?|)(\\.[^.\\/]*|))(?:[\\/]*)$/;\n/** JSDoc */\nfunction splitPath(filename: string): string[] {\n const parts = splitPathRe.exec(filename);\n return parts ? parts.slice(1) : [];\n}\n\n// path.resolve([from ...], to)\n// posix version\n/** JSDoc */\nexport function resolve(...args: string[]): string {\n let resolvedPath = '';\n let resolvedAbsolute = false;\n\n for (let i = args.length - 1; i >= -1 && !resolvedAbsolute; i--) {\n const path = i >= 0 ? args[i] : '/';\n\n // Skip empty entries\n if (!path) {\n continue;\n }\n\n resolvedPath = `${path}/${resolvedPath}`;\n resolvedAbsolute = path.charAt(0) === '/';\n }\n\n // At this point the path should be resolved to a full absolute path, but\n // handle relative paths to be safe (might happen when process.cwd() fails)\n\n // Normalize the path\n resolvedPath = normalizeArray(resolvedPath.split('/').filter(p => !!p), !resolvedAbsolute).join('/');\n\n return (resolvedAbsolute ? '/' : '') + resolvedPath || '.';\n}\n\n/** JSDoc */\nfunction trim(arr: string[]): string[] {\n let start = 0;\n for (; start < arr.length; start++) {\n if (arr[start] !== '') {\n break;\n }\n }\n\n let end = arr.length - 1;\n for (; end >= 0; end--) {\n if (arr[end] !== '') {\n break;\n }\n }\n\n if (start > end) {\n return [];\n }\n return arr.slice(start, end - start + 1);\n}\n\n// path.relative(from, to)\n// posix version\n/** JSDoc */\nexport function relative(from: string, to: string): string {\n // tslint:disable:no-parameter-reassignment\n from = resolve(from).substr(1);\n to = resolve(to).substr(1);\n\n const fromParts = trim(from.split('/'));\n const toParts = trim(to.split('/'));\n\n const length = Math.min(fromParts.length, toParts.length);\n let samePartsLength = length;\n for (let i = 0; i < length; i++) {\n if (fromParts[i] !== toParts[i]) {\n samePartsLength = i;\n break;\n }\n }\n\n let outputParts = [];\n for (let i = samePartsLength; i < fromParts.length; i++) {\n outputParts.push('..');\n }\n\n outputParts = outputParts.concat(toParts.slice(samePartsLength));\n\n return outputParts.join('/');\n}\n\n// path.normalize(path)\n// posix version\n/** JSDoc */\nexport function normalizePath(path: string): string {\n const isPathAbsolute = isAbsolute(path);\n const trailingSlash = path.substr(-1) === '/';\n\n // Normalize the path\n let normalizedPath = normalizeArray(path.split('/').filter(p => !!p), !isPathAbsolute).join('/');\n\n if (!normalizedPath && !isPathAbsolute) {\n normalizedPath = '.';\n }\n if (normalizedPath && trailingSlash) {\n normalizedPath += '/';\n }\n\n return (isPathAbsolute ? '/' : '') + normalizedPath;\n}\n\n// posix version\n/** JSDoc */\nexport function isAbsolute(path: string): boolean {\n return path.charAt(0) === '/';\n}\n\n// posix version\n/** JSDoc */\nexport function join(...args: string[]): string {\n return normalizePath(args.join('/'));\n}\n\n/** JSDoc */\nexport function dirname(path: string): string {\n const result = splitPath(path);\n const root = result[0];\n let dir = result[1];\n\n if (!root && !dir) {\n // No dirname whatsoever\n return '.';\n }\n\n if (dir) {\n // It has a dirname, strip trailing slash\n dir = dir.substr(0, dir.length - 1);\n }\n\n return root + dir;\n}\n\n/** JSDoc */\nexport function basename(path: string, ext?: string): string {\n let f = splitPath(path)[2];\n if (ext && f.substr(ext.length * -1) === ext) {\n f = f.substr(0, f.length - ext.length);\n }\n return f;\n}\n","import { EventProcessor, Hub, Integration } from '@sentry/types';\nimport { getGlobalObject, supportsReportingObserver } from '@sentry/utils';\n\n/** JSDoc */\ninterface Report {\n [key: string]: any;\n type: ReportTypes;\n url: string;\n body?: ReportBody;\n}\n\n/** JSDoc */\nenum ReportTypes {\n /** JSDoc */\n Crash = 'crash',\n /** JSDoc */\n Deprecation = 'deprecation',\n /** JSDoc */\n Intervention = 'intervention',\n}\n\n/** JSDoc */\ntype ReportBody = CrashReportBody | DeprecationReportBody | InterventionReportBody;\n\n/** JSDoc */\ninterface CrashReportBody {\n [key: string]: any;\n crashId: string;\n reason?: string;\n}\n\n/** JSDoc */\ninterface DeprecationReportBody {\n [key: string]: any;\n id: string;\n anticipatedRemoval?: Date;\n message: string;\n sourceFile?: string;\n lineNumber?: number;\n columnNumber?: number;\n}\n\n/** JSDoc */\ninterface InterventionReportBody {\n [key: string]: any;\n id: string;\n message: string;\n sourceFile?: string;\n lineNumber?: number;\n columnNumber?: number;\n}\n\n/** Reporting API integration - https://w3c.github.io/reporting/ */\nexport class ReportingObserver implements Integration {\n /**\n * @inheritDoc\n */\n public readonly name: string = ReportingObserver.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'ReportingObserver';\n\n /**\n * Returns current hub.\n */\n private _getCurrentHub?: () => Hub;\n\n /**\n * @inheritDoc\n */\n public constructor(\n private readonly _options: {\n types?: ReportTypes[];\n } = {\n types: [ReportTypes.Crash, ReportTypes.Deprecation, ReportTypes.Intervention],\n },\n ) {}\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n // tslint:disable:no-unsafe-any\n\n if (!supportsReportingObserver()) {\n return;\n }\n\n this._getCurrentHub = getCurrentHub;\n\n const observer = new (getGlobalObject()).ReportingObserver(this.handler.bind(this), {\n buffered: true,\n types: this._options.types,\n });\n\n observer.observe();\n }\n\n /**\n * @inheritDoc\n */\n public handler(reports: Report[]): void {\n const hub = this._getCurrentHub && this._getCurrentHub();\n if (!hub || !hub.getIntegration(ReportingObserver)) {\n return;\n }\n for (const report of reports) {\n hub.withScope(scope => {\n scope.setExtra('url', report.url);\n\n const label = `ReportingObserver [${report.type}]`;\n let details = 'No details available';\n\n if (report.body) {\n // Object.keys doesn't work on ReportBody, as all properties are inheirted\n const plainBody: {\n [key: string]: any;\n } = {};\n\n // tslint:disable-next-line:forin\n for (const prop in report.body) {\n plainBody[prop] = report.body[prop];\n }\n\n scope.setExtra('body', plainBody);\n\n if (report.type === ReportTypes.Crash) {\n const body = report.body as CrashReportBody;\n // A fancy way to create a message out of crashId OR reason OR both OR fallback\n details = [body.crashId || '', body.reason || ''].join(' ').trim() || details;\n } else {\n const body = report.body as DeprecationReportBody | InterventionReportBody;\n details = body.message || details;\n }\n }\n\n hub.captureMessage(`${label}: ${details}`);\n });\n }\n }\n}\n","import { Event, EventProcessor, Hub, Integration } from '@sentry/types';\nimport { getGlobalObject, logger } from '@sentry/utils';\n\n// See https://github.com/angular/angular.js/blob/v1.4.7/src/minErr.js\nconst angularPattern = /^\\[((?:[$a-zA-Z0-9]+:)?(?:[$a-zA-Z0-9]+))\\] (.*?)\\n?(\\S+)$/;\n\n/**\n * AngularJS integration\n *\n * Provides an $exceptionHandler for AngularJS\n */\nexport class Angular implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Angular.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'AngularJS';\n\n /**\n * moduleName used in Angular's DI resolution algorithm\n */\n public static moduleName: string = 'ngSentry';\n\n /**\n * Angular's instance\n */\n private readonly _angular: any;\n\n /**\n * Returns current hub.\n */\n private _getCurrentHub?: () => Hub;\n\n /**\n * @inheritDoc\n */\n public constructor(options: { angular?: any } = {}) {\n // tslint:disable-next-line: no-unsafe-any\n this._angular = options.angular || getGlobalObject().angular;\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n if (!this._angular) {\n logger.error('AngularIntegration is missing an Angular instance');\n return;\n }\n\n this._getCurrentHub = getCurrentHub;\n\n // tslint:disable: no-unsafe-any\n this._angular.module(Angular.moduleName, []).config([\n '$provide',\n ($provide: any) => {\n $provide.decorator('$exceptionHandler', ['$delegate', this._$exceptionHandlerDecorator.bind(this)]);\n },\n ]);\n // tslint:enable: no-unsafe-any\n }\n\n /**\n * Angular's exceptionHandler for Sentry integration\n */\n // tslint:disable-next-line: no-unsafe-any\n private _$exceptionHandlerDecorator($delegate: any): any {\n return (exception: Error, cause?: string) => {\n const hub = this._getCurrentHub && this._getCurrentHub();\n\n if (hub && hub.getIntegration(Angular)) {\n hub.withScope(scope => {\n if (cause) {\n scope.setExtra('cause', cause);\n }\n\n scope.addEventProcessor((event: Event) => {\n const ex = event.exception && event.exception.values && event.exception.values[0];\n\n if (ex) {\n const matches = angularPattern.exec(ex.value || '');\n\n if (matches) {\n // This type now becomes something like: $rootScope:inprog\n ex.type = matches[1];\n ex.value = matches[2];\n event.message = `${ex.type}: ${ex.value}`;\n // auto set a new tag specifically for the angular error url\n event.extra = {\n ...event.extra,\n angularDocs: matches[3].substr(0, 250),\n };\n }\n }\n\n return event;\n });\n\n hub.captureException(exception);\n });\n }\n // tslint:disable-next-line: no-unsafe-any\n $delegate(exception, cause);\n };\n }\n}\n","import { EventProcessor, Hub, Integration, Severity } from '@sentry/types';\nimport { fill, getGlobalObject, safeJoin } from '@sentry/utils';\n\nconst global = getGlobalObject();\n\n/** Send Console API calls as Sentry Events */\nexport class CaptureConsole implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = CaptureConsole.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'CaptureConsole';\n\n /**\n * @inheritDoc\n */\n private readonly _levels: string[] = ['log', 'info', 'warn', 'error', 'debug', 'assert'];\n\n /**\n * @inheritDoc\n */\n public constructor(options: { levels?: string[] } = {}) {\n if (options.levels) {\n this._levels = options.levels;\n }\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n if (!('console' in global)) {\n return;\n }\n\n this._levels.forEach((level: string) => {\n if (!(level in global.console)) {\n return;\n }\n\n fill(global.console, level, (originalConsoleLevel: () => any) => (...args: any[]) => {\n const hub = getCurrentHub();\n\n if (hub.getIntegration(CaptureConsole)) {\n hub.withScope(scope => {\n scope.setLevel(Severity.fromString(level));\n scope.setExtra('arguments', args);\n scope.addEventProcessor(event => {\n event.logger = 'console';\n return event;\n });\n\n let message = safeJoin(args, ' ');\n if (level === 'assert') {\n if (args[0] === false) {\n message = `Assertion failed: ${safeJoin(args.slice(1), ' ') || 'console.assert'}`;\n scope.setExtra('arguments', args.slice(1));\n hub.captureMessage(message);\n }\n } else {\n hub.captureMessage(message);\n }\n });\n }\n\n // this fails for some browsers. :(\n if (originalConsoleLevel) {\n Function.prototype.apply.call(originalConsoleLevel, global.console, args);\n }\n });\n });\n }\n}\n","import { Event, EventHint, EventProcessor, Hub, Integration } from '@sentry/types';\nimport { consoleSandbox } from '@sentry/utils';\n\n/** JSDoc */\ninterface DebugOptions {\n stringify?: boolean;\n debugger?: boolean;\n}\n\n/** JSDoc */\nexport class Debug implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Debug.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'Debug';\n\n /** JSDoc */\n private readonly _options: DebugOptions;\n\n /**\n * @inheritDoc\n */\n public constructor(options?: DebugOptions) {\n this._options = {\n debugger: false,\n stringify: false,\n ...options,\n };\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor((event: Event, hint?: EventHint) => {\n const self = getCurrentHub().getIntegration(Debug);\n if (self) {\n // tslint:disable:no-console\n // tslint:disable:no-debugger\n if (self._options.debugger) {\n debugger;\n }\n\n consoleSandbox(() => {\n if (self._options.stringify) {\n console.log(JSON.stringify(event, null, 2));\n if (hint) {\n console.log(JSON.stringify(hint, null, 2));\n }\n } else {\n console.log(event);\n if (hint) {\n console.log(hint);\n }\n }\n });\n }\n return event;\n });\n }\n}\n","import { Event, EventProcessor, Exception, Hub, Integration, StackFrame } from '@sentry/types';\n\n/** Deduplication filter */\nexport class Dedupe implements Integration {\n /**\n * @inheritDoc\n */\n private _previousEvent?: Event;\n\n /**\n * @inheritDoc\n */\n public name: string = Dedupe.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'Dedupe';\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor((currentEvent: Event) => {\n const self = getCurrentHub().getIntegration(Dedupe);\n if (self) {\n // Juuust in case something goes wrong\n try {\n if (self._shouldDropEvent(currentEvent, self._previousEvent)) {\n return null;\n }\n } catch (_oO) {\n return (self._previousEvent = currentEvent);\n }\n\n return (self._previousEvent = currentEvent);\n }\n return currentEvent;\n });\n }\n\n /** JSDoc */\n private _shouldDropEvent(currentEvent: Event, previousEvent?: Event): boolean {\n if (!previousEvent) {\n return false;\n }\n\n if (this._isSameMessageEvent(currentEvent, previousEvent)) {\n return true;\n }\n\n if (this._isSameExceptionEvent(currentEvent, previousEvent)) {\n return true;\n }\n\n return false;\n }\n\n /** JSDoc */\n private _isSameMessageEvent(currentEvent: Event, previousEvent: Event): boolean {\n const currentMessage = currentEvent.message;\n const previousMessage = previousEvent.message;\n\n // If neither event has a message property, they were both exceptions, so bail out\n if (!currentMessage && !previousMessage) {\n return false;\n }\n\n // If only one event has a stacktrace, but not the other one, they are not the same\n if ((currentMessage && !previousMessage) || (!currentMessage && previousMessage)) {\n return false;\n }\n\n if (currentMessage !== previousMessage) {\n return false;\n }\n\n if (!this._isSameFingerprint(currentEvent, previousEvent)) {\n return false;\n }\n\n if (!this._isSameStacktrace(currentEvent, previousEvent)) {\n return false;\n }\n\n return true;\n }\n\n /** JSDoc */\n private _getFramesFromEvent(event: Event): StackFrame[] | undefined {\n const exception = event.exception;\n\n if (exception) {\n try {\n // @ts-ignore\n return exception.values[0].stacktrace.frames;\n } catch (_oO) {\n return undefined;\n }\n } else if (event.stacktrace) {\n return event.stacktrace.frames;\n }\n return undefined;\n }\n\n /** JSDoc */\n private _isSameStacktrace(currentEvent: Event, previousEvent: Event): boolean {\n let currentFrames = this._getFramesFromEvent(currentEvent);\n let previousFrames = this._getFramesFromEvent(previousEvent);\n\n // If neither event has a stacktrace, they are assumed to be the same\n if (!currentFrames && !previousFrames) {\n return true;\n }\n\n // If only one event has a stacktrace, but not the other one, they are not the same\n if ((currentFrames && !previousFrames) || (!currentFrames && previousFrames)) {\n return false;\n }\n\n currentFrames = currentFrames as StackFrame[];\n previousFrames = previousFrames as StackFrame[];\n\n // If number of frames differ, they are not the same\n if (previousFrames.length !== currentFrames.length) {\n return false;\n }\n\n // Otherwise, compare the two\n for (let i = 0; i < previousFrames.length; i++) {\n const frameA = previousFrames[i];\n const frameB = currentFrames[i];\n\n if (\n frameA.filename !== frameB.filename ||\n frameA.lineno !== frameB.lineno ||\n frameA.colno !== frameB.colno ||\n frameA.function !== frameB.function\n ) {\n return false;\n }\n }\n\n return true;\n }\n\n /** JSDoc */\n private _getExceptionFromEvent(event: Event): Exception | undefined {\n return event.exception && event.exception.values && event.exception.values[0];\n }\n\n /** JSDoc */\n private _isSameExceptionEvent(currentEvent: Event, previousEvent: Event): boolean {\n const previousException = this._getExceptionFromEvent(previousEvent);\n const currentException = this._getExceptionFromEvent(currentEvent);\n\n if (!previousException || !currentException) {\n return false;\n }\n\n if (previousException.type !== currentException.type || previousException.value !== currentException.value) {\n return false;\n }\n\n if (!this._isSameFingerprint(currentEvent, previousEvent)) {\n return false;\n }\n\n if (!this._isSameStacktrace(currentEvent, previousEvent)) {\n return false;\n }\n\n return true;\n }\n\n /** JSDoc */\n private _isSameFingerprint(currentEvent: Event, previousEvent: Event): boolean {\n let currentFingerprint = currentEvent.fingerprint;\n let previousFingerprint = previousEvent.fingerprint;\n\n // If neither event has a fingerprint, they are assumed to be the same\n if (!currentFingerprint && !previousFingerprint) {\n return true;\n }\n\n // If only one event has a fingerprint, but not the other one, they are not the same\n if ((currentFingerprint && !previousFingerprint) || (!currentFingerprint && previousFingerprint)) {\n return false;\n }\n\n currentFingerprint = currentFingerprint as string[];\n previousFingerprint = previousFingerprint as string[];\n\n // Otherwise, compare the two\n try {\n return !!(currentFingerprint.join('') === previousFingerprint.join(''));\n } catch (_oO) {\n return false;\n }\n }\n}\n","import { EventProcessor, Hub, Integration } from '@sentry/types';\nimport { getGlobalObject, isInstanceOf, logger } from '@sentry/utils';\n\n/** JSDoc */\nexport class Ember implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Ember.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'Ember';\n\n /**\n * @inheritDoc\n */\n private readonly _Ember: any; // tslint:disable-line:variable-name\n\n /**\n * @inheritDoc\n */\n public constructor(options: { Ember?: any } = {}) {\n // tslint:disable-next-line: no-unsafe-any\n this._Ember = options.Ember || getGlobalObject().Ember;\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n // tslint:disable:no-unsafe-any\n\n if (!this._Ember) {\n logger.error('EmberIntegration is missing an Ember instance');\n return;\n }\n\n const oldOnError = this._Ember.onerror;\n\n this._Ember.onerror = (error: Error): void => {\n if (getCurrentHub().getIntegration(Ember)) {\n getCurrentHub().captureException(error, { originalException: error });\n }\n\n if (typeof oldOnError === 'function') {\n oldOnError.call(this._Ember, error);\n } else if (this._Ember.testing) {\n throw error;\n }\n };\n\n this._Ember.RSVP.on(\n 'error',\n (reason: any): void => {\n if (getCurrentHub().getIntegration(Ember)) {\n getCurrentHub().withScope(scope => {\n if (isInstanceOf(reason, Error)) {\n scope.setExtra('context', 'Unhandled Promise error detected');\n getCurrentHub().captureException(reason, { originalException: reason });\n } else {\n scope.setExtra('reason', reason);\n getCurrentHub().captureMessage('Unhandled Promise error detected');\n }\n });\n }\n },\n );\n }\n}\n","import { Event, EventHint, EventProcessor, ExtendedError, Hub, Integration } from '@sentry/types';\nimport { isError, isPlainObject, logger, normalize } from '@sentry/utils';\n\n/** JSDoc */\ninterface ExtraErrorDataOptions {\n depth?: number;\n}\n\n/** Patch toString calls to return proper name for wrapped functions */\nexport class ExtraErrorData implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = ExtraErrorData.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'ExtraErrorData';\n\n /**\n * @inheritDoc\n */\n public constructor(private readonly _options: ExtraErrorDataOptions = { depth: 3 }) {}\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor((event: Event, hint?: EventHint) => {\n const self = getCurrentHub().getIntegration(ExtraErrorData);\n if (!self) {\n return event;\n }\n return self.enhanceEventWithErrorData(event, hint);\n });\n }\n\n /**\n * Attaches extracted information from the Error object to extra field in the Event\n */\n public enhanceEventWithErrorData(event: Event, hint?: EventHint): Event {\n if (!hint || !hint.originalException || !isError(hint.originalException)) {\n return event;\n }\n const name = (hint.originalException as ExtendedError).name || hint.originalException.constructor.name;\n\n const errorData = this._extractErrorData(hint.originalException as ExtendedError);\n\n if (errorData) {\n let contexts = {\n ...event.contexts,\n };\n\n const normalizedErrorData = normalize(errorData, this._options.depth);\n if (isPlainObject(normalizedErrorData)) {\n contexts = {\n ...event.contexts,\n [name]: {\n ...normalizedErrorData,\n },\n };\n }\n\n return {\n ...event,\n contexts,\n };\n }\n\n return event;\n }\n\n /**\n * Extract extra information from the Error object\n */\n private _extractErrorData(error: ExtendedError): { [key: string]: unknown } | null {\n let result = null;\n // We are trying to enhance already existing event, so no harm done if it won't succeed\n try {\n const nativeKeys = ['name', 'message', 'stack', 'line', 'column', 'fileName', 'lineNumber', 'columnNumber'];\n const errorKeys = Object.getOwnPropertyNames(error).filter(key => nativeKeys.indexOf(key) === -1);\n\n if (errorKeys.length) {\n const extraErrorInfo: { [key: string]: unknown } = {};\n for (const key of errorKeys) {\n let value = error[key];\n if (isError(value)) {\n value = (value as Error).toString();\n }\n // tslint:disable:no-unsafe-any\n extraErrorInfo[key] = value;\n }\n result = extraErrorInfo;\n }\n } catch (oO) {\n logger.error('Unable to extract extra data from the Error object:', oO);\n }\n\n return result;\n }\n}\n","import { Event, EventProcessor, Hub, Integration, StackFrame, Stacktrace } from '@sentry/types';\nimport { basename, relative } from '@sentry/utils';\n\ntype StackFrameIteratee = (frame: StackFrame) => StackFrame;\n\n/** Rewrite event frames paths */\nexport class RewriteFrames implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = RewriteFrames.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'RewriteFrames';\n\n /**\n * @inheritDoc\n */\n private readonly _root?: string;\n\n /**\n * @inheritDoc\n */\n private readonly _iteratee: StackFrameIteratee = (frame: StackFrame) => {\n if (!frame.filename) {\n return frame;\n }\n // Check if the frame filename begins with `/` or a Windows-style prefix such as `C:\\`\n const isWindowsFrame = /^[A-Z]:\\\\/.test(frame.filename);\n const startsWithSlash = /^\\//.test(frame.filename);\n if (frame.filename && (isWindowsFrame || startsWithSlash)) {\n const filename = isWindowsFrame\n ? frame.filename\n .replace(/^[A-Z]:/, '') // remove Windows-style prefix\n .replace(/\\\\/g, '/') // replace all `\\\\` instances with `/`\n : frame.filename;\n const base = this._root ? relative(this._root, filename) : basename(filename);\n frame.filename = `app:///${base}`;\n }\n return frame;\n };\n\n /**\n * @inheritDoc\n */\n public constructor(options: { root?: string; iteratee?: StackFrameIteratee } = {}) {\n if (options.root) {\n this._root = options.root;\n }\n if (options.iteratee) {\n this._iteratee = options.iteratee;\n }\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor(event => {\n const self = getCurrentHub().getIntegration(RewriteFrames);\n if (self) {\n return self.process(event);\n }\n return event;\n });\n }\n\n /** JSDoc */\n public process(event: Event): Event {\n if (event.exception && Array.isArray(event.exception.values)) {\n return this._processExceptionsEvent(event);\n }\n\n if (event.stacktrace) {\n return this._processStacktraceEvent(event);\n }\n\n return event;\n }\n\n /** JSDoc */\n private _processExceptionsEvent(event: Event): Event {\n try {\n return {\n ...event,\n exception: {\n ...event.exception,\n // The check for this is performed inside `process` call itself, safe to skip here\n // tslint:disable-next-line:no-non-null-assertion\n values: event.exception!.values!.map(value => ({\n ...value,\n stacktrace: this._processStacktrace(value.stacktrace),\n })),\n },\n };\n } catch (_oO) {\n return event;\n }\n }\n\n /** JSDoc */\n private _processStacktraceEvent(event: Event): Event {\n try {\n return {\n ...event,\n stacktrace: this._processStacktrace(event.stacktrace),\n };\n } catch (_oO) {\n return event;\n }\n }\n\n /** JSDoc */\n private _processStacktrace(stacktrace?: Stacktrace): Stacktrace {\n return {\n ...stacktrace,\n frames: stacktrace && stacktrace.frames && stacktrace.frames.map(f => this._iteratee(f)),\n };\n }\n}\n","import { Event, EventProcessor, Hub, Integration } from '@sentry/types';\n\n/** This function adds duration since Sentry was initialized till the time event was sent */\nexport class SessionTiming implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = SessionTiming.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'SessionTiming';\n\n /** Exact time Client was initialized expressed in milliseconds since Unix Epoch. */\n protected readonly _startTime: number = Date.now();\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor(event => {\n const self = getCurrentHub().getIntegration(SessionTiming);\n if (self) {\n return self.process(event);\n }\n return event;\n });\n }\n\n /**\n * @inheritDoc\n */\n public process(event: Event): Event {\n const now = Date.now();\n\n return {\n ...event,\n extra: {\n ...event.extra,\n ['session:start']: this._startTime,\n ['session:duration']: now - this._startTime,\n ['session:end']: now,\n },\n };\n }\n}\n","import { Event, EventProcessor, Hub, Integration, StackFrame } from '@sentry/types';\n\n/** Add node transaction to the event */\nexport class Transaction implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Transaction.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'Transaction';\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor(event => {\n const self = getCurrentHub().getIntegration(Transaction);\n if (self) {\n return self.process(event);\n }\n return event;\n });\n }\n\n /**\n * @inheritDoc\n */\n public process(event: Event): Event {\n const frames = this._getFramesFromEvent(event);\n\n // use for loop so we don't have to reverse whole frames array\n for (let i = frames.length - 1; i >= 0; i--) {\n const frame = frames[i];\n\n if (frame.in_app === true) {\n event.transaction = this._getTransaction(frame);\n break;\n }\n }\n\n return event;\n }\n\n /** JSDoc */\n private _getFramesFromEvent(event: Event): StackFrame[] {\n const exception = event.exception && event.exception.values && event.exception.values[0];\n return (exception && exception.stacktrace && exception.stacktrace.frames) || [];\n }\n\n /** JSDoc */\n private _getTransaction(frame: StackFrame): string {\n return frame.module || frame.function ? `${frame.module || '?'}/${frame.function || '?'}` : '';\n }\n}\n","import { EventProcessor, Hub, Integration } from '@sentry/types';\nimport { getGlobalObject, isPlainObject, logger } from '@sentry/utils';\n\n/** JSDoc */\ninterface Metadata {\n [key: string]: any;\n componentName?: string;\n propsData?: {\n [key: string]: any;\n };\n lifecycleHook?: string;\n}\n\n/** JSDoc */\nexport class Vue implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Vue.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'Vue';\n\n /**\n * @inheritDoc\n */\n private readonly _Vue: any; // tslint:disable-line:variable-name\n\n /**\n * When set to false, Sentry will suppress reporting all props data\n * from your Vue components for privacy concerns.\n */\n private readonly _attachProps: boolean = true;\n\n /**\n * When set to true, original Vue's `logError` will be called as well.\n * https://github.com/vuejs/vue/blob/c2b1cfe9ccd08835f2d99f6ce60f67b4de55187f/src/core/util/error.js#L38-L48\n */\n private readonly _logErrors: boolean = false;\n\n /**\n * @inheritDoc\n */\n public constructor(options: { Vue?: any; attachProps?: boolean; logErrors?: boolean } = {}) {\n // tslint:disable-next-line: no-unsafe-any\n this._Vue = options.Vue || getGlobalObject().Vue;\n\n if (options.logErrors !== undefined) {\n this._logErrors = options.logErrors;\n }\n if (options.attachProps === false) {\n this._attachProps = false;\n }\n }\n\n /** JSDoc */\n private _formatComponentName(vm: any): string {\n // tslint:disable:no-unsafe-any\n\n if (vm.$root === vm) {\n return 'root instance';\n }\n const name = vm._isVue ? vm.$options.name || vm.$options._componentTag : vm.name;\n return (\n (name ? `component <${name}>` : 'anonymous component') +\n (vm._isVue && vm.$options.__file ? ` at ${vm.$options.__file}` : '')\n );\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n // tslint:disable:no-unsafe-any\n\n if (!this._Vue || !this._Vue.config) {\n logger.error('VueIntegration is missing a Vue instance');\n return;\n }\n\n const oldOnError = this._Vue.config.errorHandler;\n\n this._Vue.config.errorHandler = (error: Error, vm: { [key: string]: any }, info: string): void => {\n const metadata: Metadata = {};\n\n if (isPlainObject(vm)) {\n metadata.componentName = this._formatComponentName(vm);\n\n if (this._attachProps) {\n metadata.propsData = vm.$options.propsData;\n }\n }\n\n if (info !== void 0) {\n metadata.lifecycleHook = info;\n }\n\n if (getCurrentHub().getIntegration(Vue)) {\n // This timeout makes sure that any breadcrumbs are recorded before sending it off the sentry\n setTimeout(() => {\n getCurrentHub().withScope(scope => {\n scope.setContext('vue', metadata);\n getCurrentHub().captureException(error);\n });\n });\n }\n\n if (typeof oldOnError === 'function') {\n oldOnError.call(this._Vue, error, vm, info);\n }\n\n if (this._logErrors) {\n this._Vue.util.warn(`Error in ${info}: \"${error.toString()}\"`, vm);\n // tslint:disable-next-line:no-console\n console.error(error);\n }\n };\n }\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./OttimizzazioneLineare.js\") );\n\t\t\t}, \"route-OttimizzazioneLineare\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import { consoleSandbox, getGlobalObject } from './misc';\n\n// TODO: Implement different loggers for different environments\nconst global = getGlobalObject();\n\n/** Prefix for logging strings */\nconst PREFIX = 'Sentry Logger ';\n\n/** JSDoc */\nclass Logger {\n /** JSDoc */\n private _enabled: boolean;\n\n /** JSDoc */\n public constructor() {\n this._enabled = false;\n }\n\n /** JSDoc */\n public disable(): void {\n this._enabled = false;\n }\n\n /** JSDoc */\n public enable(): void {\n this._enabled = true;\n }\n\n /** JSDoc */\n public log(...args: any[]): void {\n if (!this._enabled) {\n return;\n }\n consoleSandbox(() => {\n global.console.log(`${PREFIX}[Log]: ${args.join(' ')}`); // tslint:disable-line:no-console\n });\n }\n\n /** JSDoc */\n public warn(...args: any[]): void {\n if (!this._enabled) {\n return;\n }\n consoleSandbox(() => {\n global.console.warn(`${PREFIX}[Warn]: ${args.join(' ')}`); // tslint:disable-line:no-console\n });\n }\n\n /** JSDoc */\n public error(...args: any[]): void {\n if (!this._enabled) {\n return;\n }\n consoleSandbox(() => {\n global.console.error(`${PREFIX}[Error]: ${args.join(' ')}`); // tslint:disable-line:no-console\n });\n }\n}\n\n// Ensure we only have a single logger instance, even if multiple versions of @sentry/utils are being used\nglobal.__SENTRY__ = global.__SENTRY__ || {};\nconst logger = (global.__SENTRY__.logger as Logger) || (global.__SENTRY__.logger = new Logger());\n\nexport { logger };\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./CalcoloNumerico.js\") );\n\t\t\t}, \"route-CalcoloNumerico\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import { logger } from './logger';\nimport { getGlobalObject } from './misc';\n\n/**\n * Tells whether current environment supports ErrorEvent objects\n * {@link supportsErrorEvent}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsErrorEvent(): boolean {\n try {\n // tslint:disable:no-unused-expression\n new ErrorEvent('');\n return true;\n } catch (e) {\n return false;\n }\n}\n\n/**\n * Tells whether current environment supports DOMError objects\n * {@link supportsDOMError}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsDOMError(): boolean {\n try {\n // It really needs 1 argument, not 0.\n // Chrome: VM89:1 Uncaught TypeError: Failed to construct 'DOMError':\n // 1 argument required, but only 0 present.\n // @ts-ignore\n // tslint:disable:no-unused-expression\n new DOMError('');\n return true;\n } catch (e) {\n return false;\n }\n}\n\n/**\n * Tells whether current environment supports DOMException objects\n * {@link supportsDOMException}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsDOMException(): boolean {\n try {\n // tslint:disable:no-unused-expression\n new DOMException('');\n return true;\n } catch (e) {\n return false;\n }\n}\n\n/**\n * Tells whether current environment supports Fetch API\n * {@link supportsFetch}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsFetch(): boolean {\n if (!('fetch' in getGlobalObject())) {\n return false;\n }\n\n try {\n // tslint:disable-next-line:no-unused-expression\n new Headers();\n // tslint:disable-next-line:no-unused-expression\n new Request('');\n // tslint:disable-next-line:no-unused-expression\n new Response();\n return true;\n } catch (e) {\n return false;\n }\n}\n/**\n * isNativeFetch checks if the given function is a native implementation of fetch()\n */\nfunction isNativeFetch(func: Function): boolean {\n return func && /^function fetch\\(\\)\\s+\\{\\s+\\[native code\\]\\s+\\}$/.test(func.toString());\n}\n\n/**\n * Tells whether current environment supports Fetch API natively\n * {@link supportsNativeFetch}.\n *\n * @returns true if `window.fetch` is natively implemented, false otherwise\n */\nexport function supportsNativeFetch(): boolean {\n if (!supportsFetch()) {\n return false;\n }\n\n const global = getGlobalObject();\n\n // Fast path to avoid DOM I/O\n // tslint:disable-next-line:no-unbound-method\n if (isNativeFetch(global.fetch)) {\n return true;\n }\n\n // window.fetch is implemented, but is polyfilled or already wrapped (e.g: by a chrome extension)\n // so create a \"pure\" iframe to see if that has native fetch\n let result = false;\n const doc = global.document;\n // tslint:disable-next-line:no-unbound-method deprecation\n if (doc && typeof (doc.createElement as unknown) === `function`) {\n try {\n const sandbox = doc.createElement('iframe');\n sandbox.hidden = true;\n doc.head.appendChild(sandbox);\n if (sandbox.contentWindow && sandbox.contentWindow.fetch) {\n // tslint:disable-next-line:no-unbound-method\n result = isNativeFetch(sandbox.contentWindow.fetch);\n }\n doc.head.removeChild(sandbox);\n } catch (err) {\n logger.warn('Could not create sandbox iframe for pure fetch check, bailing to window.fetch: ', err);\n }\n }\n\n return result;\n}\n\n/**\n * Tells whether current environment supports ReportingObserver API\n * {@link supportsReportingObserver}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsReportingObserver(): boolean {\n // tslint:disable-next-line: no-unsafe-any\n return 'ReportingObserver' in getGlobalObject();\n}\n\n/**\n * Tells whether current environment supports Referrer Policy API\n * {@link supportsReferrerPolicy}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsReferrerPolicy(): boolean {\n // Despite all stars in the sky saying that Edge supports old draft syntax, aka 'never', 'always', 'origin' and 'default\n // https://caniuse.com/#feat=referrer-policy\n // It doesn't. And it throw exception instead of ignoring this parameter...\n // REF: https://github.com/getsentry/raven-js/issues/1233\n\n if (!supportsFetch()) {\n return false;\n }\n\n try {\n // tslint:disable:no-unused-expression\n new Request('_', {\n referrerPolicy: 'origin' as ReferrerPolicy,\n });\n return true;\n } catch (e) {\n return false;\n }\n}\n\n/**\n * Tells whether current environment supports History API\n * {@link supportsHistory}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsHistory(): boolean {\n // NOTE: in Chrome App environment, touching history.pushState, *even inside\n // a try/catch block*, will cause Chrome to output an error to console.error\n // borrowed from: https://github.com/angular/angular.js/pull/13945/files\n const global = getGlobalObject();\n const chrome = (global as any).chrome;\n // tslint:disable-next-line:no-unsafe-any\n const isChromePackagedApp = chrome && chrome.app && chrome.app.runtime;\n const hasHistoryApi = 'history' in global && !!global.history.pushState && !!global.history.replaceState;\n\n return !isChromePackagedApp && hasHistoryApi;\n}\n","/** JSDoc */\nexport enum Severity {\n /** JSDoc */\n Fatal = 'fatal',\n /** JSDoc */\n Error = 'error',\n /** JSDoc */\n Warning = 'warning',\n /** JSDoc */\n Log = 'log',\n /** JSDoc */\n Info = 'info',\n /** JSDoc */\n Debug = 'debug',\n /** JSDoc */\n Critical = 'critical',\n}\n// tslint:disable:completed-docs\n// tslint:disable:no-unnecessary-qualifier no-namespace\nexport namespace Severity {\n /**\n * Converts a string-based level into a {@link Severity}.\n *\n * @param level string representation of Severity\n * @returns Severity\n */\n export function fromString(level: string): Severity {\n switch (level) {\n case 'debug':\n return Severity.Debug;\n case 'info':\n return Severity.Info;\n case 'warn':\n case 'warning':\n return Severity.Warning;\n case 'error':\n return Severity.Error;\n case 'fatal':\n return Severity.Fatal;\n case 'critical':\n return Severity.Critical;\n case 'log':\n default:\n return Severity.Log;\n }\n }\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./MingwInstall.js\") );\n\t\t\t}, \"route-MingwInstall\");\n\t\t}\n\n\t\texport default Async(load);\n\t","module.exports = function(originalModule) {\n\tif (!originalModule.webpackPolyfill) {\n\t\tvar module = Object.create(originalModule);\n\t\t// module.parent = undefined by default\n\t\tif (!module.children) module.children = [];\n\t\tObject.defineProperty(module, \"loaded\", {\n\t\t\tenumerable: true,\n\t\t\tget: function() {\n\t\t\t\treturn module.l;\n\t\t\t}\n\t\t});\n\t\tObject.defineProperty(module, \"id\", {\n\t\t\tenumerable: true,\n\t\t\tget: function() {\n\t\t\t\treturn module.i;\n\t\t\t}\n\t\t});\n\t\tObject.defineProperty(module, \"exports\", {\n\t\t\tenumerable: true\n\t\t});\n\t\tmodule.webpackPolyfill = 1;\n\t}\n\treturn module;\n};\n","// Import debugging tools\nlet Sentry = null;\nif(process.env.NODE_ENV === \"development\") {\n\tconsole.debug(\"Initializing Preact Debugger...\")\n\trequire(\"preact/debug\");\n}\nelse if(process.env.NODE_ENV === \"production\") {\n\tconsole.debug(\"Initializing Sentry...\")\n\tSentry = require(\"@sentry/browser\");\n\tlet SentryIntegrations = require(\"@sentry/integrations\")\n\t// noinspection JSUnresolvedVariable\n\tSentry.init({\n\t\tdsn: \"https://9f5089346fd14e04a6f412638474dfec@o40131.ingest.sentry.io/5255500\",\n\t\trelease: process.env.RELEASE,\n\t\tenvironment: \"production\",\n\t\tbeforeSend(event, hint) {\n\t\t\tif (event.exception) {\n\t\t\t\tSentry.showReportDialog({ eventId: event.event_id });\n\t\t\t}\n\t\t\treturn event;\n\t\t}\n\t});\n}\n\n// noinspection ES6UnusedImports\nimport _style from './index.less';\n// noinspection ES6UnusedImports\nimport _manifest from './meta/manifest.json';\n// noinspection ES6UnusedImports\nimport _cname from './meta/CNAME';\n// noinspection ES6UnusedImports\nimport _nojekyll from './meta/.nojekyll';\n\nimport Router from 'preact-router';\nimport {createHashHistory} from \"history\";\nimport Home from './routes/Home';\nimport Fisica from './routes/Fisica';\nimport VlDiGeometria from './routes/VlDiGeometria';\nimport MingwInstall from './routes/MingwInstall';\nimport Footer from './components/Layout/Footer';\nimport Statistica from './routes/Statistica';\nimport OttimizzazioneLineare from \"./routes/OttimizzazioneLineare\";\nimport BasiDiDati from './routes/BasiDiDati';\nimport CalcoloNumerico from './routes/CalcoloNumerico';\nimport ApprendimentoSistemiArtificiali from \"./routes/ApprendimentoSistemiArtificiali\";\nimport LatexRenderColor from \"./contexts/LatexRenderColor\";\nimport NetLogo from \"./routes/NetLogo\";\nimport AlgoritmiEStruttureDati from \"./routes/AlgoritmiEStruttureDati\";\n\n// noinspection JSUnusedGlobalSymbols\nexport default function(props) {\n\treturn (\n\t\t
\n\t\t\t\n\t\t\t\t

Appuntiweb di Steffo

\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\t\t
\n\t\t\t\n\t\t
\n\t);\n}\n","import { h, Component } from 'preact';\n\nexport default function(req) {\n\tfunction Async() {\n\t\tComponent.call(this);\n\n\t\tlet b, old;\n\t\tthis.componentWillMount = () => {\n\t\t\tb = this.base = this.nextBase || this.__b; // short circuits 1st render\n\t\t\treq(m => {\n\t\t\t\tthis.setState({ child: m.default || m });\n\t\t\t});\n\t\t};\n\n\t\tthis.shouldComponentUpdate = (_, nxt) => {\n\t\t\tnxt = nxt.child === void 0;\n\t\t\tif (nxt && old === void 0 && b) {\n\t\t\t\t// Node.TEXT_NODE\n\t\t\t\tif (b.nodeType === 3) {\n\t\t\t\t\told = b.data;\n\t\t\t\t} else {\n\t\t\t\t\told = h(b.nodeName, {\n\t\t\t\t\t\tdangerouslySetInnerHTML: { __html: b.innerHTML },\n\t\t\t\t\t});\n\t\t\t\t}\n\t\t\t} else {\n\t\t\t\told = ''; // dump it\n\t\t\t}\n\t\t\treturn !nxt;\n\t\t};\n\n\t\tthis.render = (p, s) => (s.child ? h(s.child, p) : old);\n\t}\n\t(Async.prototype = new Component()).constructor = Async;\n\treturn Async;\n}\n","/**\n * Assign properties from `props` to `obj`\n * @template O, P The obj and props types\n * @param {O} obj The object to copy properties to\n * @param {P} props The object to copy properties from\n * @returns {O & P}\n */\nexport function assign(obj, props) {\n\tfor (let i in props) obj[i] = props[i];\n\treturn /** @type {O & P} */ (obj);\n}\n\n/**\n * Remove a child node from its parent if attached. This is a workaround for\n * IE11 which doesn't support `Element.prototype.remove()`. Using this function\n * is smaller than including a dedicated polyfill.\n * @param {Node} node The node to remove\n */\nexport function removeNode(node) {\n\tlet parentNode = node.parentNode;\n\tif (parentNode) parentNode.removeChild(node);\n}\n","import { cloneElement, createElement, Component, toChildArray } from 'preact';\nimport { exec, prepareVNodeForRanking, assign, pathRankSort } from './util';\n\nlet customHistory = null;\n\nconst ROUTERS = [];\n\nconst subscribers = [];\n\nconst EMPTY = {};\n\nfunction setUrl(url, type='push') {\n\tif (customHistory && customHistory[type]) {\n\t\tcustomHistory[type](url);\n\t}\n\telse if (typeof history!=='undefined' && history[type+'State']) {\n\t\thistory[type+'State'](null, null, url);\n\t}\n}\n\n\nfunction getCurrentUrl() {\n\tlet url;\n\tif (customHistory && customHistory.location) {\n\t\turl = customHistory.location;\n\t}\n\telse if (customHistory && customHistory.getCurrentLocation) {\n\t\turl = customHistory.getCurrentLocation();\n\t}\n\telse {\n\t\turl = typeof location!=='undefined' ? location : EMPTY;\n\t}\n\treturn `${url.pathname || ''}${url.search || ''}`;\n}\n\n\n\nfunction route(url, replace=false) {\n\tif (typeof url!=='string' && url.url) {\n\t\treplace = url.replace;\n\t\turl = url.url;\n\t}\n\n\t// only push URL into history if we can handle it\n\tif (canRoute(url)) {\n\t\tsetUrl(url, replace ? 'replace' : 'push');\n\t}\n\n\treturn routeTo(url);\n}\n\n\n/** Check if the given URL can be handled by any router instances. */\nfunction canRoute(url) {\n\tfor (let i=ROUTERS.length; i--; ) {\n\t\tif (ROUTERS[i].canRoute(url)) return true;\n\t}\n\treturn false;\n}\n\n\n/** Tell all router instances to handle the given URL. */\nfunction routeTo(url) {\n\tlet didRoute = false;\n\tfor (let i=0; i {\n\t\t\t\trouteTo(getCurrentUrl());\n\t\t\t});\n\t\t}\n\t\taddEventListener('click', delegateLinkHandler);\n\t}\n\teventListenersInitialized = true;\n}\n\n\nclass Router extends Component {\n\tconstructor(props) {\n\t\tsuper(props);\n\t\tif (props.history) {\n\t\t\tcustomHistory = props.history;\n\t\t}\n\n\t\tthis.state = {\n\t\t\turl: props.url || getCurrentUrl()\n\t\t};\n\n\t\tinitEventListeners();\n\t}\n\n\tshouldComponentUpdate(props) {\n\t\tif (props.static!==true) return true;\n\t\treturn props.url!==this.props.url || props.onChange!==this.props.onChange;\n\t}\n\n\t/** Check if the given URL can be matched against any children */\n\tcanRoute(url) {\n\t\tconst children = toChildArray(this.props.children);\n\t\treturn this.getMatchingChildren(children, url, false).length > 0;\n\t}\n\n\t/** Re-render children with a new URL to match against. */\n\trouteTo(url) {\n\t\tthis.setState({ url });\n\n\t\tconst didRoute = this.canRoute(url);\n\n\t\t// trigger a manual re-route if we're not in the middle of an update:\n\t\tif (!this.updating) this.forceUpdate();\n\n\t\treturn didRoute;\n\t}\n\n\tcomponentWillMount() {\n\t\tROUTERS.push(this);\n\t\tthis.updating = true;\n\t}\n\n\tcomponentDidMount() {\n\t\tif (customHistory) {\n\t\t\tthis.unlisten = customHistory.listen((location) => {\n\t\t\t\tthis.routeTo(`${location.pathname || ''}${location.search || ''}`);\n\t\t\t});\n\t\t}\n\t\tthis.updating = false;\n\t}\n\n\tcomponentWillUnmount() {\n\t\tif (typeof this.unlisten==='function') this.unlisten();\n\t\tROUTERS.splice(ROUTERS.indexOf(this), 1);\n\t}\n\n\tcomponentWillUpdate() {\n\t\tthis.updating = true;\n\t}\n\n\tcomponentDidUpdate() {\n\t\tthis.updating = false;\n\t}\n\n\tgetMatchingChildren(children, url, invoke) {\n\t\treturn children\n\t\t\t.filter(prepareVNodeForRanking)\n\t\t\t.sort(pathRankSort)\n\t\t\t.map( vnode => {\n\t\t\t\tlet matches = exec(url, vnode.props.path, vnode.props);\n\t\t\t\tif (matches) {\n\t\t\t\t\tif (invoke !== false) {\n\t\t\t\t\t\tlet newProps = { url, matches };\n\t\t\t\t\t\tassign(newProps, matches);\n\t\t\t\t\t\tdelete newProps.ref;\n\t\t\t\t\t\tdelete newProps.key;\n\t\t\t\t\t\treturn cloneElement(vnode, newProps);\n\t\t\t\t\t}\n\t\t\t\t\treturn vnode;\n\t\t\t\t}\n\t\t\t}).filter(Boolean);\n\t}\n\n\trender({ children, onChange }, { url }) {\n\t\tlet active = this.getMatchingChildren(toChildArray(children), url, true);\n\n\t\tlet current = active[0] || null;\n\n\t\tlet previous = this.previousUrl;\n\t\tif (url!==previous) {\n\t\t\tthis.previousUrl = url;\n\t\t\tif (typeof onChange==='function') {\n\t\t\t\tonChange({\n\t\t\t\t\trouter: this,\n\t\t\t\t\turl,\n\t\t\t\t\tprevious,\n\t\t\t\t\tactive,\n\t\t\t\t\tcurrent\n\t\t\t\t});\n\t\t\t}\n\t\t}\n\n\t\treturn current;\n\t}\n}\n\nconst Link = (props) => (\n\tcreateElement('a', assign({ onClick: handleLinkClick }, props))\n);\n\nconst Route = props => createElement(props.component, props);\n\nRouter.subscribers = subscribers;\nRouter.getCurrentUrl = getCurrentUrl;\nRouter.route = route;\nRouter.Router = Router;\nRouter.Route = Route;\nRouter.Link = Link;\nRouter.exec = exec;\n\nexport { subscribers, getCurrentUrl, route, Router, Route, Link, exec };\nexport default Router;\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./ApprendimentoSistemiArtificiali.js\") );\n\t\t\t}, \"route-ApprendimentoSistemiArtificiali\");\n\t\t}\n\n\t\texport default Async(load);\n\t","/*! *****************************************************************************\r\nCopyright (c) Microsoft Corporation. All rights reserved.\r\nLicensed under the Apache License, Version 2.0 (the \"License\"); you may not use\r\nthis file except in compliance with the License. You may obtain a copy of the\r\nLicense at http://www.apache.org/licenses/LICENSE-2.0\r\n\r\nTHIS CODE IS PROVIDED ON AN *AS IS* BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY\r\nKIND, EITHER EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION ANY IMPLIED\r\nWARRANTIES OR CONDITIONS OF TITLE, FITNESS FOR A PARTICULAR PURPOSE,\r\nMERCHANTABLITY OR NON-INFRINGEMENT.\r\n\r\nSee the Apache Version 2.0 License for specific language governing permissions\r\nand limitations under the License.\r\n***************************************************************************** */\r\n/* global Reflect, Promise */\r\n\r\nvar extendStatics = function(d, b) {\r\n extendStatics = Object.setPrototypeOf ||\r\n ({ __proto__: [] } instanceof Array && function (d, b) { d.__proto__ = b; }) ||\r\n function (d, b) { for (var p in b) if (b.hasOwnProperty(p)) d[p] = b[p]; };\r\n return extendStatics(d, b);\r\n};\r\n\r\nexport function __extends(d, b) {\r\n extendStatics(d, b);\r\n function __() { this.constructor = d; }\r\n d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());\r\n}\r\n\r\nexport var __assign = function() {\r\n __assign = Object.assign || function __assign(t) {\r\n for (var s, i = 1, n = arguments.length; i < n; i++) {\r\n s = arguments[i];\r\n for (var p in s) if (Object.prototype.hasOwnProperty.call(s, p)) t[p] = s[p];\r\n }\r\n return t;\r\n }\r\n return __assign.apply(this, arguments);\r\n}\r\n\r\nexport function __rest(s, e) {\r\n var t = {};\r\n for (var p in s) if (Object.prototype.hasOwnProperty.call(s, p) && e.indexOf(p) < 0)\r\n t[p] = s[p];\r\n if (s != null && typeof Object.getOwnPropertySymbols === \"function\")\r\n for (var i = 0, p = Object.getOwnPropertySymbols(s); i < p.length; i++) {\r\n if (e.indexOf(p[i]) < 0 && Object.prototype.propertyIsEnumerable.call(s, p[i]))\r\n t[p[i]] = s[p[i]];\r\n }\r\n return t;\r\n}\r\n\r\nexport function __decorate(decorators, target, key, desc) {\r\n var c = arguments.length, r = c < 3 ? target : desc === null ? desc = Object.getOwnPropertyDescriptor(target, key) : desc, d;\r\n if (typeof Reflect === \"object\" && typeof Reflect.decorate === \"function\") r = Reflect.decorate(decorators, target, key, desc);\r\n else for (var i = decorators.length - 1; i >= 0; i--) if (d = decorators[i]) r = (c < 3 ? d(r) : c > 3 ? d(target, key, r) : d(target, key)) || r;\r\n return c > 3 && r && Object.defineProperty(target, key, r), r;\r\n}\r\n\r\nexport function __param(paramIndex, decorator) {\r\n return function (target, key) { decorator(target, key, paramIndex); }\r\n}\r\n\r\nexport function __metadata(metadataKey, metadataValue) {\r\n if (typeof Reflect === \"object\" && typeof Reflect.metadata === \"function\") return Reflect.metadata(metadataKey, metadataValue);\r\n}\r\n\r\nexport function __awaiter(thisArg, _arguments, P, generator) {\r\n function adopt(value) { return value instanceof P ? value : new P(function (resolve) { resolve(value); }); }\r\n return new (P || (P = Promise))(function (resolve, reject) {\r\n function fulfilled(value) { try { step(generator.next(value)); } catch (e) { reject(e); } }\r\n function rejected(value) { try { step(generator[\"throw\"](value)); } catch (e) { reject(e); } }\r\n function step(result) { result.done ? resolve(result.value) : adopt(result.value).then(fulfilled, rejected); }\r\n step((generator = generator.apply(thisArg, _arguments || [])).next());\r\n });\r\n}\r\n\r\nexport function __generator(thisArg, body) {\r\n var _ = { label: 0, sent: function() { if (t[0] & 1) throw t[1]; return t[1]; }, trys: [], ops: [] }, f, y, t, g;\r\n return g = { next: verb(0), \"throw\": verb(1), \"return\": verb(2) }, typeof Symbol === \"function\" && (g[Symbol.iterator] = function() { return this; }), g;\r\n function verb(n) { return function (v) { return step([n, v]); }; }\r\n function step(op) {\r\n if (f) throw new TypeError(\"Generator is already executing.\");\r\n while (_) try {\r\n if (f = 1, y && (t = op[0] & 2 ? y[\"return\"] : op[0] ? y[\"throw\"] || ((t = y[\"return\"]) && t.call(y), 0) : y.next) && !(t = t.call(y, op[1])).done) return t;\r\n if (y = 0, t) op = [op[0] & 2, t.value];\r\n switch (op[0]) {\r\n case 0: case 1: t = op; break;\r\n case 4: _.label++; return { value: op[1], done: false };\r\n case 5: _.label++; y = op[1]; op = [0]; continue;\r\n case 7: op = _.ops.pop(); _.trys.pop(); continue;\r\n default:\r\n if (!(t = _.trys, t = t.length > 0 && t[t.length - 1]) && (op[0] === 6 || op[0] === 2)) { _ = 0; continue; }\r\n if (op[0] === 3 && (!t || (op[1] > t[0] && op[1] < t[3]))) { _.label = op[1]; break; }\r\n if (op[0] === 6 && _.label < t[1]) { _.label = t[1]; t = op; break; }\r\n if (t && _.label < t[2]) { _.label = t[2]; _.ops.push(op); break; }\r\n if (t[2]) _.ops.pop();\r\n _.trys.pop(); continue;\r\n }\r\n op = body.call(thisArg, _);\r\n } catch (e) { op = [6, e]; y = 0; } finally { f = t = 0; }\r\n if (op[0] & 5) throw op[1]; return { value: op[0] ? op[1] : void 0, done: true };\r\n }\r\n}\r\n\r\nexport function __exportStar(m, exports) {\r\n for (var p in m) if (!exports.hasOwnProperty(p)) exports[p] = m[p];\r\n}\r\n\r\nexport function __values(o) {\r\n var s = typeof Symbol === \"function\" && Symbol.iterator, m = s && o[s], i = 0;\r\n if (m) return m.call(o);\r\n if (o && typeof o.length === \"number\") return {\r\n next: function () {\r\n if (o && i >= o.length) o = void 0;\r\n return { value: o && o[i++], done: !o };\r\n }\r\n };\r\n throw new TypeError(s ? \"Object is not iterable.\" : \"Symbol.iterator is not defined.\");\r\n}\r\n\r\nexport function __read(o, n) {\r\n var m = typeof Symbol === \"function\" && o[Symbol.iterator];\r\n if (!m) return o;\r\n var i = m.call(o), r, ar = [], e;\r\n try {\r\n while ((n === void 0 || n-- > 0) && !(r = i.next()).done) ar.push(r.value);\r\n }\r\n catch (error) { e = { error: error }; }\r\n finally {\r\n try {\r\n if (r && !r.done && (m = i[\"return\"])) m.call(i);\r\n }\r\n finally { if (e) throw e.error; }\r\n }\r\n return ar;\r\n}\r\n\r\nexport function __spread() {\r\n for (var ar = [], i = 0; i < arguments.length; i++)\r\n ar = ar.concat(__read(arguments[i]));\r\n return ar;\r\n}\r\n\r\nexport function __spreadArrays() {\r\n for (var s = 0, i = 0, il = arguments.length; i < il; i++) s += arguments[i].length;\r\n for (var r = Array(s), k = 0, i = 0; i < il; i++)\r\n for (var a = arguments[i], j = 0, jl = a.length; j < jl; j++, k++)\r\n r[k] = a[j];\r\n return r;\r\n};\r\n\r\nexport function __await(v) {\r\n return this instanceof __await ? (this.v = v, this) : new __await(v);\r\n}\r\n\r\nexport function __asyncGenerator(thisArg, _arguments, generator) {\r\n if (!Symbol.asyncIterator) throw new TypeError(\"Symbol.asyncIterator is not defined.\");\r\n var g = generator.apply(thisArg, _arguments || []), i, q = [];\r\n return i = {}, verb(\"next\"), verb(\"throw\"), verb(\"return\"), i[Symbol.asyncIterator] = function () { return this; }, i;\r\n function verb(n) { if (g[n]) i[n] = function (v) { return new Promise(function (a, b) { q.push([n, v, a, b]) > 1 || resume(n, v); }); }; }\r\n function resume(n, v) { try { step(g[n](v)); } catch (e) { settle(q[0][3], e); } }\r\n function step(r) { r.value instanceof __await ? Promise.resolve(r.value.v).then(fulfill, reject) : settle(q[0][2], r); }\r\n function fulfill(value) { resume(\"next\", value); }\r\n function reject(value) { resume(\"throw\", value); }\r\n function settle(f, v) { if (f(v), q.shift(), q.length) resume(q[0][0], q[0][1]); }\r\n}\r\n\r\nexport function __asyncDelegator(o) {\r\n var i, p;\r\n return i = {}, verb(\"next\"), verb(\"throw\", function (e) { throw e; }), verb(\"return\"), i[Symbol.iterator] = function () { return this; }, i;\r\n function verb(n, f) { i[n] = o[n] ? function (v) { return (p = !p) ? { value: __await(o[n](v)), done: n === \"return\" } : f ? f(v) : v; } : f; }\r\n}\r\n\r\nexport function __asyncValues(o) {\r\n if (!Symbol.asyncIterator) throw new TypeError(\"Symbol.asyncIterator is not defined.\");\r\n var m = o[Symbol.asyncIterator], i;\r\n return m ? m.call(o) : (o = typeof __values === \"function\" ? __values(o) : o[Symbol.iterator](), i = {}, verb(\"next\"), verb(\"throw\"), verb(\"return\"), i[Symbol.asyncIterator] = function () { return this; }, i);\r\n function verb(n) { i[n] = o[n] && function (v) { return new Promise(function (resolve, reject) { v = o[n](v), settle(resolve, reject, v.done, v.value); }); }; }\r\n function settle(resolve, reject, d, v) { Promise.resolve(v).then(function(v) { resolve({ value: v, done: d }); }, reject); }\r\n}\r\n\r\nexport function __makeTemplateObject(cooked, raw) {\r\n if (Object.defineProperty) { Object.defineProperty(cooked, \"raw\", { value: raw }); } else { cooked.raw = raw; }\r\n return cooked;\r\n};\r\n\r\nexport function __importStar(mod) {\r\n if (mod && mod.__esModule) return mod;\r\n var result = {};\r\n if (mod != null) for (var k in mod) if (Object.hasOwnProperty.call(mod, k)) result[k] = mod[k];\r\n result.default = mod;\r\n return result;\r\n}\r\n\r\nexport function __importDefault(mod) {\r\n return (mod && mod.__esModule) ? mod : { default: mod };\r\n}\r\n\r\nexport function __classPrivateFieldGet(receiver, privateMap) {\r\n if (!privateMap.has(receiver)) {\r\n throw new TypeError(\"attempted to get private field on non-instance\");\r\n }\r\n return privateMap.get(receiver);\r\n}\r\n\r\nexport function __classPrivateFieldSet(receiver, privateMap, value) {\r\n if (!privateMap.has(receiver)) {\r\n throw new TypeError(\"attempted to set private field on non-instance\");\r\n }\r\n privateMap.set(receiver, value);\r\n return value;\r\n}\r\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./AlgoritmiEStruttureDati.js\") );\n\t\t\t}, \"route-AlgoritmiEStruttureDati\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import { isRegExp, isString } from './is';\n\n/**\n * Truncates given string to the maximum characters count\n *\n * @param str An object that contains serializable values\n * @param max Maximum number of characters in truncated string\n * @returns string Encoded\n */\nexport function truncate(str: string, max: number = 0): string {\n // tslint:disable-next-line:strict-type-predicates\n if (typeof str !== 'string' || max === 0) {\n return str;\n }\n return str.length <= max ? str : `${str.substr(0, max)}...`;\n}\n\n/**\n * This is basically just `trim_line` from\n * https://github.com/getsentry/sentry/blob/master/src/sentry/lang/javascript/processor.py#L67\n *\n * @param str An object that contains serializable values\n * @param max Maximum number of characters in truncated string\n * @returns string Encoded\n */\n\nexport function snipLine(line: string, colno: number): string {\n let newLine = line;\n const ll = newLine.length;\n if (ll <= 150) {\n return newLine;\n }\n if (colno > ll) {\n colno = ll; // tslint:disable-line:no-parameter-reassignment\n }\n\n let start = Math.max(colno - 60, 0);\n if (start < 5) {\n start = 0;\n }\n\n let end = Math.min(start + 140, ll);\n if (end > ll - 5) {\n end = ll;\n }\n if (end === ll) {\n start = Math.max(end - 140, 0);\n }\n\n newLine = newLine.slice(start, end);\n if (start > 0) {\n newLine = `'{snip} ${newLine}`;\n }\n if (end < ll) {\n newLine += ' {snip}';\n }\n\n return newLine;\n}\n\n/**\n * Join values in array\n * @param input array of values to be joined together\n * @param delimiter string to be placed in-between values\n * @returns Joined values\n */\nexport function safeJoin(input: any[], delimiter?: string): string {\n if (!Array.isArray(input)) {\n return '';\n }\n\n const output = [];\n // tslint:disable-next-line:prefer-for-of\n for (let i = 0; i < input.length; i++) {\n const value = input[i];\n try {\n output.push(String(value));\n } catch (e) {\n output.push('[value cannot be serialized]');\n }\n }\n\n return output.join(delimiter);\n}\n\n/**\n * Checks if the value matches a regex or includes the string\n * @param value The string value to be checked against\n * @param pattern Either a regex or a string that must be contained in value\n */\nexport function isMatchingPattern(value: string, pattern: RegExp | string): boolean {\n if (!isString(value)) {\n return false;\n }\n\n if (isRegExp(pattern)) {\n return (pattern as RegExp).test(value);\n }\n if (typeof pattern === 'string') {\n return value.indexOf(pattern) !== -1;\n }\n return false;\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./Home.js\") );\n\t\t\t}, \"route-Home\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import options from './options';\n\n/**\n * Create an virtual node (used for JSX)\n * @param {import('./internal').VNode[\"type\"]} type The node name or Component\n * constructor for this virtual node\n * @param {object | null | undefined} [props] The properties of the virtual node\n * @param {Array} [children] The children of the virtual node\n * @returns {import('./internal').VNode}\n */\nexport function createElement(type, props, children) {\n\tlet normalizedProps = {},\n\t\ti;\n\tfor (i in props) {\n\t\tif (i !== 'key' && i !== 'ref') normalizedProps[i] = props[i];\n\t}\n\n\tif (arguments.length > 3) {\n\t\tchildren = [children];\n\t\t// https://github.com/preactjs/preact/issues/1916\n\t\tfor (i = 3; i < arguments.length; i++) {\n\t\t\tchildren.push(arguments[i]);\n\t\t}\n\t}\n\tif (children != null) {\n\t\tnormalizedProps.children = children;\n\t}\n\n\t// If a Component VNode, check for and apply defaultProps\n\t// Note: type may be undefined in development, must never error here.\n\tif (typeof type == 'function' && type.defaultProps != null) {\n\t\tfor (i in type.defaultProps) {\n\t\t\tif (normalizedProps[i] === undefined) {\n\t\t\t\tnormalizedProps[i] = type.defaultProps[i];\n\t\t\t}\n\t\t}\n\t}\n\n\treturn createVNode(\n\t\ttype,\n\t\tnormalizedProps,\n\t\tprops && props.key,\n\t\tprops && props.ref,\n\t\tnull\n\t);\n}\n\n/**\n * Create a VNode (used internally by Preact)\n * @param {import('./internal').VNode[\"type\"]} type The node name or Component\n * Constructor for this virtual node\n * @param {object | string | number | null} props The properties of this virtual node.\n * If this virtual node represents a text node, this is the text of the node (string or number).\n * @param {string | number | null} key The key for this virtual node, used when\n * diffing it against its children\n * @param {import('./internal').VNode[\"ref\"]} ref The ref property that will\n * receive a reference to its created child\n * @returns {import('./internal').VNode}\n */\nexport function createVNode(type, props, key, ref, original) {\n\t// V8 seems to be better at detecting type shapes if the object is allocated from the same call site\n\t// Do not inline into createElement and coerceToVNode!\n\tconst vnode = {\n\t\ttype,\n\t\tprops,\n\t\tkey,\n\t\tref,\n\t\t_children: null,\n\t\t_parent: null,\n\t\t_depth: 0,\n\t\t_dom: null,\n\t\t// _nextDom must be initialized to undefined b/c it will eventually\n\t\t// be set to dom.nextSibling which can return `null` and it is important\n\t\t// to be able to distinguish between an uninitialized _nextDom and\n\t\t// a _nextDom that has been set to `null`\n\t\t_nextDom: undefined,\n\t\t_component: null,\n\t\tconstructor: undefined,\n\t\t_original: original\n\t};\n\n\tif (original == null) vnode._original = vnode;\n\tif (options.vnode) options.vnode(vnode);\n\n\treturn vnode;\n}\n\nexport function createRef() {\n\treturn {};\n}\n\nexport function Fragment(props) {\n\treturn props.children;\n}\n\n/**\n * Check if a the argument is a valid Preact VNode.\n * @param {*} vnode\n * @returns {vnode is import('./internal').VNode}\n */\nexport const isValidElement = vnode =>\n\tvnode != null && vnode.constructor === undefined;\n","import { assign } from './util';\nimport { diff, commitRoot } from './diff/index';\nimport options from './options';\nimport { Fragment } from './create-element';\n\n/**\n * Base Component class. Provides `setState()` and `forceUpdate()`, which\n * trigger rendering\n * @param {object} props The initial component props\n * @param {object} context The initial context from parent components'\n * getChildContext\n */\nexport function Component(props, context) {\n\tthis.props = props;\n\tthis.context = context;\n}\n\n/**\n * Update component state and schedule a re-render.\n * @param {object | ((s: object, p: object) => object)} update A hash of state\n * properties to update with new values or a function that given the current\n * state and props returns a new partial state\n * @param {() => void} [callback] A function to be called once component state is\n * updated\n */\nComponent.prototype.setState = function(update, callback) {\n\t// only clone state when copying to nextState the first time.\n\tlet s;\n\tif (this._nextState !== this.state) {\n\t\ts = this._nextState;\n\t} else {\n\t\ts = this._nextState = assign({}, this.state);\n\t}\n\n\tif (typeof update == 'function') {\n\t\tupdate = update(s, this.props);\n\t}\n\n\tif (update) {\n\t\tassign(s, update);\n\t}\n\n\t// Skip update if updater function returned null\n\tif (update == null) return;\n\n\tif (this._vnode) {\n\t\tif (callback) this._renderCallbacks.push(callback);\n\t\tenqueueRender(this);\n\t}\n};\n\n/**\n * Immediately perform a synchronous re-render of the component\n * @param {() => void} [callback] A function to be called after component is\n * re-rendered\n */\nComponent.prototype.forceUpdate = function(callback) {\n\tif (this._vnode) {\n\t\t// Set render mode so that we can differentiate where the render request\n\t\t// is coming from. We need this because forceUpdate should never call\n\t\t// shouldComponentUpdate\n\t\tthis._force = true;\n\t\tif (callback) this._renderCallbacks.push(callback);\n\t\tenqueueRender(this);\n\t}\n};\n\n/**\n * Accepts `props` and `state`, and returns a new Virtual DOM tree to build.\n * Virtual DOM is generally constructed via [JSX](http://jasonformat.com/wtf-is-jsx).\n * @param {object} props Props (eg: JSX attributes) received from parent\n * element/component\n * @param {object} state The component's current state\n * @param {object} context Context object, as returned by the nearest\n * ancestor's `getChildContext()`\n * @returns {import('./index').ComponentChildren | void}\n */\nComponent.prototype.render = Fragment;\n\n/**\n * @param {import('./internal').VNode} vnode\n * @param {number | null} [childIndex]\n */\nexport function getDomSibling(vnode, childIndex) {\n\tif (childIndex == null) {\n\t\t// Use childIndex==null as a signal to resume the search from the vnode's sibling\n\t\treturn vnode._parent\n\t\t\t? getDomSibling(vnode._parent, vnode._parent._children.indexOf(vnode) + 1)\n\t\t\t: null;\n\t}\n\n\tlet sibling;\n\tfor (; childIndex < vnode._children.length; childIndex++) {\n\t\tsibling = vnode._children[childIndex];\n\n\t\tif (sibling != null && sibling._dom != null) {\n\t\t\t// Since updateParentDomPointers keeps _dom pointer correct,\n\t\t\t// we can rely on _dom to tell us if this subtree contains a\n\t\t\t// rendered DOM node, and what the first rendered DOM node is\n\t\t\treturn sibling._dom;\n\t\t}\n\t}\n\n\t// If we get here, we have not found a DOM node in this vnode's children.\n\t// We must resume from this vnode's sibling (in it's parent _children array)\n\t// Only climb up and search the parent if we aren't searching through a DOM\n\t// VNode (meaning we reached the DOM parent of the original vnode that began\n\t// the search)\n\treturn typeof vnode.type == 'function' ? getDomSibling(vnode) : null;\n}\n\n/**\n * Trigger in-place re-rendering of a component.\n * @param {import('./internal').Component} component The component to rerender\n */\nfunction renderComponent(component) {\n\tlet vnode = component._vnode,\n\t\toldDom = vnode._dom,\n\t\tparentDom = component._parentDom;\n\n\tif (parentDom) {\n\t\tlet commitQueue = [];\n\t\tconst oldVNode = assign({}, vnode);\n\t\toldVNode._original = oldVNode;\n\n\t\tlet newDom = diff(\n\t\t\tparentDom,\n\t\t\tvnode,\n\t\t\toldVNode,\n\t\t\tcomponent._globalContext,\n\t\t\tparentDom.ownerSVGElement !== undefined,\n\t\t\tnull,\n\t\t\tcommitQueue,\n\t\t\toldDom == null ? getDomSibling(vnode) : oldDom\n\t\t);\n\t\tcommitRoot(commitQueue, vnode);\n\n\t\tif (newDom != oldDom) {\n\t\t\tupdateParentDomPointers(vnode);\n\t\t}\n\t}\n}\n\n/**\n * @param {import('./internal').VNode} vnode\n */\nfunction updateParentDomPointers(vnode) {\n\tif ((vnode = vnode._parent) != null && vnode._component != null) {\n\t\tvnode._dom = vnode._component.base = null;\n\t\tfor (let i = 0; i < vnode._children.length; i++) {\n\t\t\tlet child = vnode._children[i];\n\t\t\tif (child != null && child._dom != null) {\n\t\t\t\tvnode._dom = vnode._component.base = child._dom;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\n\t\treturn updateParentDomPointers(vnode);\n\t}\n}\n\n/**\n * The render queue\n * @type {Array}\n */\nlet rerenderQueue = [];\nlet rerenderCount = 0;\n\n/**\n * Asynchronously schedule a callback\n * @type {(cb: () => void) => void}\n */\n/* istanbul ignore next */\n// Note the following line isn't tree-shaken by rollup cuz of rollup/rollup#2566\nconst defer =\n\ttypeof Promise == 'function'\n\t\t? Promise.prototype.then.bind(Promise.resolve())\n\t\t: setTimeout;\n\n/*\n * The value of `Component.debounce` must asynchronously invoke the passed in callback. It is\n * important that contributors to Preact can consistently reason about what calls to `setState`, etc.\n * do, and when their effects will be applied. See the links below for some further reading on designing\n * asynchronous APIs.\n * * [Designing APIs for Asynchrony](https://blog.izs.me/2013/08/designing-apis-for-asynchrony)\n * * [Callbacks synchronous and asynchronous](https://blog.ometer.com/2011/07/24/callbacks-synchronous-and-asynchronous/)\n */\n\nlet prevDebounce;\n\n/**\n * Enqueue a rerender of a component\n * @param {import('./internal').Component} c The component to rerender\n */\nexport function enqueueRender(c) {\n\tif (\n\t\t(!c._dirty &&\n\t\t\t(c._dirty = true) &&\n\t\t\trerenderQueue.push(c) &&\n\t\t\t!rerenderCount++) ||\n\t\tprevDebounce !== options.debounceRendering\n\t) {\n\t\tprevDebounce = options.debounceRendering;\n\t\t(prevDebounce || defer)(process);\n\t}\n}\n\n/** Flush the render queue by rerendering all queued components */\nfunction process() {\n\tlet queue;\n\twhile ((rerenderCount = rerenderQueue.length)) {\n\t\tqueue = rerenderQueue.sort((a, b) => a._vnode._depth - b._vnode._depth);\n\t\trerenderQueue = [];\n\t\t// Don't update `renderCount` yet. Keep its value non-zero to prevent unnecessary\n\t\t// process() calls from getting scheduled while `queue` is still being consumed.\n\t\tqueue.some(c => {\n\t\t\tif (c._dirty) renderComponent(c);\n\t\t});\n\t}\n}\n","import { diff, unmount, applyRef } from './index';\nimport { createVNode, Fragment } from '../create-element';\nimport { EMPTY_OBJ, EMPTY_ARR } from '../constants';\nimport { removeNode } from '../util';\nimport { getDomSibling } from '../component';\n\n/**\n * Diff the children of a virtual node\n * @param {import('../internal').PreactElement} parentDom The DOM element whose\n * children are being diffed\n * @param {import('../index').ComponentChildren[]} renderResult\n * @param {import('../internal').VNode} newParentVNode The new virtual\n * node whose children should be diff'ed against oldParentVNode\n * @param {import('../internal').VNode} oldParentVNode The old virtual\n * node whose children should be diff'ed against newParentVNode\n * @param {object} globalContext The current context object - modified by getChildContext\n * @param {boolean} isSvg Whether or not this DOM node is an SVG node\n * @param {Array} excessDomChildren\n * @param {Array} commitQueue List of components\n * which have callbacks to invoke in commitRoot\n * @param {Node | Text} oldDom The current attached DOM\n * element any new dom elements should be placed around. Likely `null` on first\n * render (except when hydrating). Can be a sibling DOM element when diffing\n * Fragments that have siblings. In most cases, it starts out as `oldChildren[0]._dom`.\n * @param {boolean} isHydrating Whether or not we are in hydration\n */\nexport function diffChildren(\n\tparentDom,\n\trenderResult,\n\tnewParentVNode,\n\toldParentVNode,\n\tglobalContext,\n\tisSvg,\n\texcessDomChildren,\n\tcommitQueue,\n\toldDom,\n\tisHydrating\n) {\n\tlet i, j, oldVNode, childVNode, newDom, sibDom, firstChildDom, refs;\n\n\t// This is a compression of oldParentVNode!=null && oldParentVNode != EMPTY_OBJ && oldParentVNode._children || EMPTY_ARR\n\t// as EMPTY_OBJ._children should be `undefined`.\n\tlet oldChildren = (oldParentVNode && oldParentVNode._children) || EMPTY_ARR;\n\n\tlet oldChildrenLength = oldChildren.length;\n\n\t// Only in very specific places should this logic be invoked (top level `render` and `diffElementNodes`).\n\t// I'm using `EMPTY_OBJ` to signal when `diffChildren` is invoked in these situations. I can't use `null`\n\t// for this purpose, because `null` is a valid value for `oldDom` which can mean to skip to this logic\n\t// (e.g. if mounting a new tree in which the old DOM should be ignored (usually for Fragments).\n\tif (oldDom == EMPTY_OBJ) {\n\t\tif (excessDomChildren != null) {\n\t\t\toldDom = excessDomChildren[0];\n\t\t} else if (oldChildrenLength) {\n\t\t\toldDom = getDomSibling(oldParentVNode, 0);\n\t\t} else {\n\t\t\toldDom = null;\n\t\t}\n\t}\n\n\tnewParentVNode._children = [];\n\tfor (i = 0; i < renderResult.length; i++) {\n\t\tchildVNode = renderResult[i];\n\n\t\tif (childVNode == null || typeof childVNode == 'boolean') {\n\t\t\tchildVNode = newParentVNode._children[i] = null;\n\t\t}\n\t\t// If this newVNode is being reused (e.g.
{reuse}{reuse}
) in the same diff,\n\t\t// or we are rendering a component (e.g. setState) copy the oldVNodes so it can have\n\t\t// it's own DOM & etc. pointers\n\t\telse if (typeof childVNode == 'string' || typeof childVNode == 'number') {\n\t\t\tchildVNode = newParentVNode._children[i] = createVNode(\n\t\t\t\tnull,\n\t\t\t\tchildVNode,\n\t\t\t\tnull,\n\t\t\t\tnull,\n\t\t\t\tchildVNode\n\t\t\t);\n\t\t} else if (Array.isArray(childVNode)) {\n\t\t\tchildVNode = newParentVNode._children[i] = createVNode(\n\t\t\t\tFragment,\n\t\t\t\t{ children: childVNode },\n\t\t\t\tnull,\n\t\t\t\tnull,\n\t\t\t\tnull\n\t\t\t);\n\t\t} else if (childVNode._dom != null || childVNode._component != null) {\n\t\t\tchildVNode = newParentVNode._children[i] = createVNode(\n\t\t\t\tchildVNode.type,\n\t\t\t\tchildVNode.props,\n\t\t\t\tchildVNode.key,\n\t\t\t\tnull,\n\t\t\t\tchildVNode._original\n\t\t\t);\n\t\t} else {\n\t\t\tchildVNode = newParentVNode._children[i] = childVNode;\n\t\t}\n\n\t\t// Terser removes the `continue` here and wraps the loop body\n\t\t// in a `if (childVNode) { ... } condition\n\t\tif (childVNode == null) {\n\t\t\tcontinue;\n\t\t}\n\n\t\tchildVNode._parent = newParentVNode;\n\t\tchildVNode._depth = newParentVNode._depth + 1;\n\n\t\t// Check if we find a corresponding element in oldChildren.\n\t\t// If found, delete the array item by setting to `undefined`.\n\t\t// We use `undefined`, as `null` is reserved for empty placeholders\n\t\t// (holes).\n\t\toldVNode = oldChildren[i];\n\n\t\tif (\n\t\t\toldVNode === null ||\n\t\t\t(oldVNode &&\n\t\t\t\tchildVNode.key == oldVNode.key &&\n\t\t\t\tchildVNode.type === oldVNode.type)\n\t\t) {\n\t\t\toldChildren[i] = undefined;\n\t\t} else {\n\t\t\t// Either oldVNode === undefined or oldChildrenLength > 0,\n\t\t\t// so after this loop oldVNode == null or oldVNode is a valid value.\n\t\t\tfor (j = 0; j < oldChildrenLength; j++) {\n\t\t\t\toldVNode = oldChildren[j];\n\t\t\t\t// If childVNode is unkeyed, we only match similarly unkeyed nodes, otherwise we match by key.\n\t\t\t\t// We always match by type (in either case).\n\t\t\t\tif (\n\t\t\t\t\toldVNode &&\n\t\t\t\t\tchildVNode.key == oldVNode.key &&\n\t\t\t\t\tchildVNode.type === oldVNode.type\n\t\t\t\t) {\n\t\t\t\t\toldChildren[j] = undefined;\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t\toldVNode = null;\n\t\t\t}\n\t\t}\n\n\t\toldVNode = oldVNode || EMPTY_OBJ;\n\n\t\t// Morph the old element into the new one, but don't append it to the dom yet\n\t\tnewDom = diff(\n\t\t\tparentDom,\n\t\t\tchildVNode,\n\t\t\toldVNode,\n\t\t\tglobalContext,\n\t\t\tisSvg,\n\t\t\texcessDomChildren,\n\t\t\tcommitQueue,\n\t\t\toldDom,\n\t\t\tisHydrating\n\t\t);\n\n\t\tif ((j = childVNode.ref) && oldVNode.ref != j) {\n\t\t\tif (!refs) refs = [];\n\t\t\tif (oldVNode.ref) refs.push(oldVNode.ref, null, childVNode);\n\t\t\trefs.push(j, childVNode._component || newDom, childVNode);\n\t\t}\n\n\t\t// Only proceed if the vnode has not been unmounted by `diff()` above.\n\t\tif (newDom != null) {\n\t\t\tif (firstChildDom == null) {\n\t\t\t\tfirstChildDom = newDom;\n\t\t\t}\n\n\t\t\tlet nextDom;\n\t\t\tif (childVNode._nextDom !== undefined) {\n\t\t\t\t// Only Fragments or components that return Fragment like VNodes will\n\t\t\t\t// have a non-undefined _nextDom. Continue the diff from the sibling\n\t\t\t\t// of last DOM child of this child VNode\n\t\t\t\tnextDom = childVNode._nextDom;\n\n\t\t\t\t// Eagerly cleanup _nextDom. We don't need to persist the value because\n\t\t\t\t// it is only used by `diffChildren` to determine where to resume the diff after\n\t\t\t\t// diffing Components and Fragments. Once we store it the nextDOM local var, we\n\t\t\t\t// can clean up the property\n\t\t\t\tchildVNode._nextDom = undefined;\n\t\t\t} else if (\n\t\t\t\texcessDomChildren == oldVNode ||\n\t\t\t\tnewDom != oldDom ||\n\t\t\t\tnewDom.parentNode == null\n\t\t\t) {\n\t\t\t\t// NOTE: excessDomChildren==oldVNode above:\n\t\t\t\t// This is a compression of excessDomChildren==null && oldVNode==null!\n\t\t\t\t// The values only have the same type when `null`.\n\n\t\t\t\touter: if (oldDom == null || oldDom.parentNode !== parentDom) {\n\t\t\t\t\tparentDom.appendChild(newDom);\n\t\t\t\t\tnextDom = null;\n\t\t\t\t} else {\n\t\t\t\t\t// `j} excessDomChildren\n * @param {Array} commitQueue List of components\n * which have callbacks to invoke in commitRoot\n * @param {Element | Text} oldDom The current attached DOM\n * element any new dom elements should be placed around. Likely `null` on first\n * render (except when hydrating). Can be a sibling DOM element when diffing\n * Fragments that have siblings. In most cases, it starts out as `oldChildren[0]._dom`.\n * @param {boolean} [isHydrating] Whether or not we are in hydration\n */\nexport function diff(\n\tparentDom,\n\tnewVNode,\n\toldVNode,\n\tglobalContext,\n\tisSvg,\n\texcessDomChildren,\n\tcommitQueue,\n\toldDom,\n\tisHydrating\n) {\n\tlet tmp,\n\t\tnewType = newVNode.type;\n\n\t// When passing through createElement it assigns the object\n\t// constructor as undefined. This to prevent JSON-injection.\n\tif (newVNode.constructor !== undefined) return null;\n\n\tif ((tmp = options._diff)) tmp(newVNode);\n\n\ttry {\n\t\touter: if (typeof newType == 'function') {\n\t\t\tlet c, isNew, oldProps, oldState, snapshot, clearProcessingException;\n\t\t\tlet newProps = newVNode.props;\n\n\t\t\t// Necessary for createContext api. Setting this property will pass\n\t\t\t// the context value as `this.context` just for this component.\n\t\t\ttmp = newType.contextType;\n\t\t\tlet provider = tmp && globalContext[tmp._id];\n\t\t\tlet componentContext = tmp\n\t\t\t\t? provider\n\t\t\t\t\t? provider.props.value\n\t\t\t\t\t: tmp._defaultValue\n\t\t\t\t: globalContext;\n\n\t\t\t// Get component and set it to `c`\n\t\t\tif (oldVNode._component) {\n\t\t\t\tc = newVNode._component = oldVNode._component;\n\t\t\t\tclearProcessingException = c._processingException = c._pendingError;\n\t\t\t} else {\n\t\t\t\t// Instantiate the new component\n\t\t\t\tif ('prototype' in newType && newType.prototype.render) {\n\t\t\t\t\tnewVNode._component = c = new newType(newProps, componentContext); // eslint-disable-line new-cap\n\t\t\t\t} else {\n\t\t\t\t\tnewVNode._component = c = new Component(newProps, componentContext);\n\t\t\t\t\tc.constructor = newType;\n\t\t\t\t\tc.render = doRender;\n\t\t\t\t}\n\t\t\t\tif (provider) provider.sub(c);\n\n\t\t\t\tc.props = newProps;\n\t\t\t\tif (!c.state) c.state = {};\n\t\t\t\tc.context = componentContext;\n\t\t\t\tc._globalContext = globalContext;\n\t\t\t\tisNew = c._dirty = true;\n\t\t\t\tc._renderCallbacks = [];\n\t\t\t}\n\n\t\t\t// Invoke getDerivedStateFromProps\n\t\t\tif (c._nextState == null) {\n\t\t\t\tc._nextState = c.state;\n\t\t\t}\n\t\t\tif (newType.getDerivedStateFromProps != null) {\n\t\t\t\tif (c._nextState == c.state) {\n\t\t\t\t\tc._nextState = assign({}, c._nextState);\n\t\t\t\t}\n\n\t\t\t\tassign(\n\t\t\t\t\tc._nextState,\n\t\t\t\t\tnewType.getDerivedStateFromProps(newProps, c._nextState)\n\t\t\t\t);\n\t\t\t}\n\n\t\t\toldProps = c.props;\n\t\t\toldState = c.state;\n\n\t\t\t// Invoke pre-render lifecycle methods\n\t\t\tif (isNew) {\n\t\t\t\tif (\n\t\t\t\t\tnewType.getDerivedStateFromProps == null &&\n\t\t\t\t\tc.componentWillMount != null\n\t\t\t\t) {\n\t\t\t\t\tc.componentWillMount();\n\t\t\t\t}\n\n\t\t\t\tif (c.componentDidMount != null) {\n\t\t\t\t\tc._renderCallbacks.push(c.componentDidMount);\n\t\t\t\t}\n\t\t\t} else {\n\t\t\t\tif (\n\t\t\t\t\tnewType.getDerivedStateFromProps == null &&\n\t\t\t\t\tnewProps !== oldProps &&\n\t\t\t\t\tc.componentWillReceiveProps != null\n\t\t\t\t) {\n\t\t\t\t\tc.componentWillReceiveProps(newProps, componentContext);\n\t\t\t\t}\n\n\t\t\t\tif (\n\t\t\t\t\t(!c._force &&\n\t\t\t\t\t\tc.shouldComponentUpdate != null &&\n\t\t\t\t\t\tc.shouldComponentUpdate(\n\t\t\t\t\t\t\tnewProps,\n\t\t\t\t\t\t\tc._nextState,\n\t\t\t\t\t\t\tcomponentContext\n\t\t\t\t\t\t) === false) ||\n\t\t\t\t\tnewVNode._original === oldVNode._original\n\t\t\t\t) {\n\t\t\t\t\tc.props = newProps;\n\t\t\t\t\tc.state = c._nextState;\n\t\t\t\t\t// More info about this here: https://gist.github.com/JoviDeCroock/bec5f2ce93544d2e6070ef8e0036e4e8\n\t\t\t\t\tif (newVNode._original !== oldVNode._original) c._dirty = false;\n\t\t\t\t\tc._vnode = newVNode;\n\t\t\t\t\tnewVNode._dom = oldVNode._dom;\n\t\t\t\t\tnewVNode._children = oldVNode._children;\n\t\t\t\t\tif (c._renderCallbacks.length) {\n\t\t\t\t\t\tcommitQueue.push(c);\n\t\t\t\t\t}\n\n\t\t\t\t\tfor (tmp = 0; tmp < newVNode._children.length; tmp++) {\n\t\t\t\t\t\tif (newVNode._children[tmp]) {\n\t\t\t\t\t\t\tnewVNode._children[tmp]._parent = newVNode;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\n\t\t\t\t\tbreak outer;\n\t\t\t\t}\n\n\t\t\t\tif (c.componentWillUpdate != null) {\n\t\t\t\t\tc.componentWillUpdate(newProps, c._nextState, componentContext);\n\t\t\t\t}\n\n\t\t\t\tif (c.componentDidUpdate != null) {\n\t\t\t\t\tc._renderCallbacks.push(() => {\n\t\t\t\t\t\tc.componentDidUpdate(oldProps, oldState, snapshot);\n\t\t\t\t\t});\n\t\t\t\t}\n\t\t\t}\n\n\t\t\tc.context = componentContext;\n\t\t\tc.props = newProps;\n\t\t\tc.state = c._nextState;\n\n\t\t\tif ((tmp = options._render)) tmp(newVNode);\n\n\t\t\tc._dirty = false;\n\t\t\tc._vnode = newVNode;\n\t\t\tc._parentDom = parentDom;\n\n\t\t\ttmp = c.render(c.props, c.state, c.context);\n\n\t\t\tif (c.getChildContext != null) {\n\t\t\t\tglobalContext = assign(assign({}, globalContext), c.getChildContext());\n\t\t\t}\n\n\t\t\tif (!isNew && c.getSnapshotBeforeUpdate != null) {\n\t\t\t\tsnapshot = c.getSnapshotBeforeUpdate(oldProps, oldState);\n\t\t\t}\n\n\t\t\tlet isTopLevelFragment =\n\t\t\t\ttmp != null && tmp.type == Fragment && tmp.key == null;\n\t\t\tlet renderResult = isTopLevelFragment ? tmp.props.children : tmp;\n\n\t\t\tdiffChildren(\n\t\t\t\tparentDom,\n\t\t\t\tArray.isArray(renderResult) ? renderResult : [renderResult],\n\t\t\t\tnewVNode,\n\t\t\t\toldVNode,\n\t\t\t\tglobalContext,\n\t\t\t\tisSvg,\n\t\t\t\texcessDomChildren,\n\t\t\t\tcommitQueue,\n\t\t\t\toldDom,\n\t\t\t\tisHydrating\n\t\t\t);\n\n\t\t\tc.base = newVNode._dom;\n\n\t\t\tif (c._renderCallbacks.length) {\n\t\t\t\tcommitQueue.push(c);\n\t\t\t}\n\n\t\t\tif (clearProcessingException) {\n\t\t\t\tc._pendingError = c._processingException = null;\n\t\t\t}\n\n\t\t\tc._force = false;\n\t\t} else if (\n\t\t\texcessDomChildren == null &&\n\t\t\tnewVNode._original === oldVNode._original\n\t\t) {\n\t\t\tnewVNode._children = oldVNode._children;\n\t\t\tnewVNode._dom = oldVNode._dom;\n\t\t} else {\n\t\t\tnewVNode._dom = diffElementNodes(\n\t\t\t\toldVNode._dom,\n\t\t\t\tnewVNode,\n\t\t\t\toldVNode,\n\t\t\t\tglobalContext,\n\t\t\t\tisSvg,\n\t\t\t\texcessDomChildren,\n\t\t\t\tcommitQueue,\n\t\t\t\tisHydrating\n\t\t\t);\n\t\t}\n\n\t\tif ((tmp = options.diffed)) tmp(newVNode);\n\t} catch (e) {\n\t\tnewVNode._original = null;\n\t\toptions._catchError(e, newVNode, oldVNode);\n\t}\n\n\treturn newVNode._dom;\n}\n\n/**\n * @param {Array} commitQueue List of components\n * which have callbacks to invoke in commitRoot\n * @param {import('../internal').VNode} root\n */\nexport function commitRoot(commitQueue, root) {\n\tif (options._commit) options._commit(root, commitQueue);\n\n\tcommitQueue.some(c => {\n\t\ttry {\n\t\t\tcommitQueue = c._renderCallbacks;\n\t\t\tc._renderCallbacks = [];\n\t\t\tcommitQueue.some(cb => {\n\t\t\t\tcb.call(c);\n\t\t\t});\n\t\t} catch (e) {\n\t\t\toptions._catchError(e, c._vnode);\n\t\t}\n\t});\n}\n\n/**\n * Diff two virtual nodes representing DOM element\n * @param {import('../internal').PreactElement} dom The DOM element representing\n * the virtual nodes being diffed\n * @param {import('../internal').VNode} newVNode The new virtual node\n * @param {import('../internal').VNode} oldVNode The old virtual node\n * @param {object} globalContext The current context object\n * @param {boolean} isSvg Whether or not this DOM node is an SVG node\n * @param {*} excessDomChildren\n * @param {Array} commitQueue List of components\n * which have callbacks to invoke in commitRoot\n * @param {boolean} isHydrating Whether or not we are in hydration\n * @returns {import('../internal').PreactElement}\n */\nfunction diffElementNodes(\n\tdom,\n\tnewVNode,\n\toldVNode,\n\tglobalContext,\n\tisSvg,\n\texcessDomChildren,\n\tcommitQueue,\n\tisHydrating\n) {\n\tlet i;\n\tlet oldProps = oldVNode.props;\n\tlet newProps = newVNode.props;\n\n\t// Tracks entering and exiting SVG namespace when descending through the tree.\n\tisSvg = newVNode.type === 'svg' || isSvg;\n\n\tif (excessDomChildren != null) {\n\t\tfor (i = 0; i < excessDomChildren.length; i++) {\n\t\t\tconst child = excessDomChildren[i];\n\n\t\t\t// if newVNode matches an element in excessDomChildren or the `dom`\n\t\t\t// argument matches an element in excessDomChildren, remove it from\n\t\t\t// excessDomChildren so it isn't later removed in diffChildren\n\t\t\tif (\n\t\t\t\tchild != null &&\n\t\t\t\t((newVNode.type === null\n\t\t\t\t\t? child.nodeType === 3\n\t\t\t\t\t: child.localName === newVNode.type) ||\n\t\t\t\t\tdom == child)\n\t\t\t) {\n\t\t\t\tdom = child;\n\t\t\t\texcessDomChildren[i] = null;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\t}\n\n\tif (dom == null) {\n\t\tif (newVNode.type === null) {\n\t\t\treturn document.createTextNode(newProps);\n\t\t}\n\n\t\tdom = isSvg\n\t\t\t? document.createElementNS('http://www.w3.org/2000/svg', newVNode.type)\n\t\t\t: document.createElement(\n\t\t\t\t\tnewVNode.type,\n\t\t\t\t\tnewProps.is && { is: newProps.is }\n\t\t\t );\n\t\t// we created a new parent, so none of the previously attached children can be reused:\n\t\texcessDomChildren = null;\n\t\t// we are creating a new node, so we can assume this is a new subtree (in case we are hydrating), this deopts the hydrate\n\t\tisHydrating = false;\n\t}\n\n\tif (newVNode.type === null) {\n\t\tif (oldProps !== newProps && dom.data != newProps) {\n\t\t\tdom.data = newProps;\n\t\t}\n\t} else {\n\t\tif (excessDomChildren != null) {\n\t\t\texcessDomChildren = EMPTY_ARR.slice.call(dom.childNodes);\n\t\t}\n\n\t\toldProps = oldVNode.props || EMPTY_OBJ;\n\n\t\tlet oldHtml = oldProps.dangerouslySetInnerHTML;\n\t\tlet newHtml = newProps.dangerouslySetInnerHTML;\n\n\t\t// During hydration, props are not diffed at all (including dangerouslySetInnerHTML)\n\t\t// @TODO we should warn in debug mode when props don't match here.\n\t\tif (!isHydrating) {\n\t\t\t// But, if we are in a situation where we are using existing DOM (e.g. replaceNode)\n\t\t\t// we should read the existing DOM attributes to diff them\n\t\t\tif (excessDomChildren != null) {\n\t\t\t\toldProps = {};\n\t\t\t\tfor (let i = 0; i < dom.attributes.length; i++) {\n\t\t\t\t\toldProps[dom.attributes[i].name] = dom.attributes[i].value;\n\t\t\t\t}\n\t\t\t}\n\n\t\t\tif (newHtml || oldHtml) {\n\t\t\t\t// Avoid re-applying the same '__html' if it did not changed between re-render\n\t\t\t\tif (!newHtml || !oldHtml || newHtml.__html != oldHtml.__html) {\n\t\t\t\t\tdom.innerHTML = (newHtml && newHtml.__html) || '';\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\n\t\tdiffProps(dom, newProps, oldProps, isSvg, isHydrating);\n\n\t\t// If the new vnode didn't have dangerouslySetInnerHTML, diff its children\n\t\tif (newHtml) {\n\t\t\tnewVNode._children = [];\n\t\t} else {\n\t\t\ti = newVNode.props.children;\n\t\t\tdiffChildren(\n\t\t\t\tdom,\n\t\t\t\tArray.isArray(i) ? i : [i],\n\t\t\t\tnewVNode,\n\t\t\t\toldVNode,\n\t\t\t\tglobalContext,\n\t\t\t\tnewVNode.type === 'foreignObject' ? false : isSvg,\n\t\t\t\texcessDomChildren,\n\t\t\t\tcommitQueue,\n\t\t\t\tEMPTY_OBJ,\n\t\t\t\tisHydrating\n\t\t\t);\n\t\t}\n\n\t\t// (as above, don't diff props during hydration)\n\t\tif (!isHydrating) {\n\t\t\tif (\n\t\t\t\t'value' in newProps &&\n\t\t\t\t(i = newProps.value) !== undefined &&\n\t\t\t\ti !== dom.value\n\t\t\t) {\n\t\t\t\tsetProperty(dom, 'value', i, oldProps.value, false);\n\t\t\t}\n\t\t\tif (\n\t\t\t\t'checked' in newProps &&\n\t\t\t\t(i = newProps.checked) !== undefined &&\n\t\t\t\ti !== dom.checked\n\t\t\t) {\n\t\t\t\tsetProperty(dom, 'checked', i, oldProps.checked, false);\n\t\t\t}\n\t\t}\n\t}\n\n\treturn dom;\n}\n\n/**\n * Invoke or update a ref, depending on whether it is a function or object ref.\n * @param {object|function} ref\n * @param {any} value\n * @param {import('../internal').VNode} vnode\n */\nexport function applyRef(ref, value, vnode) {\n\ttry {\n\t\tif (typeof ref == 'function') ref(value);\n\t\telse ref.current = value;\n\t} catch (e) {\n\t\toptions._catchError(e, vnode);\n\t}\n}\n\n/**\n * Unmount a virtual node from the tree and apply DOM changes\n * @param {import('../internal').VNode} vnode The virtual node to unmount\n * @param {import('../internal').VNode} parentVNode The parent of the VNode that\n * initiated the unmount\n * @param {boolean} [skipRemove] Flag that indicates that a parent node of the\n * current element is already detached from the DOM.\n */\nexport function unmount(vnode, parentVNode, skipRemove) {\n\tlet r;\n\tif (options.unmount) options.unmount(vnode);\n\n\tif ((r = vnode.ref)) {\n\t\tif (!r.current || r.current === vnode._dom) applyRef(r, null, parentVNode);\n\t}\n\n\tlet dom;\n\tif (!skipRemove && typeof vnode.type != 'function') {\n\t\tskipRemove = (dom = vnode._dom) != null;\n\t}\n\n\t// Must be set to `undefined` to properly clean up `_nextDom`\n\t// for which `null` is a valid value. See comment in `create-element.js`\n\tvnode._dom = vnode._nextDom = undefined;\n\n\tif ((r = vnode._component) != null) {\n\t\tif (r.componentWillUnmount) {\n\t\t\ttry {\n\t\t\t\tr.componentWillUnmount();\n\t\t\t} catch (e) {\n\t\t\t\toptions._catchError(e, parentVNode);\n\t\t\t}\n\t\t}\n\n\t\tr.base = r._parentDom = null;\n\t}\n\n\tif ((r = vnode._children)) {\n\t\tfor (let i = 0; i < r.length; i++) {\n\t\t\tif (r[i]) unmount(r[i], parentVNode, skipRemove);\n\t\t}\n\t}\n\n\tif (dom != null) removeNode(dom);\n}\n\n/** The `.render()` method for a PFC backing instance. */\nfunction doRender(props, state, context) {\n\treturn this.constructor(props, context);\n}\n","import { EMPTY_OBJ, EMPTY_ARR } from './constants';\nimport { commitRoot, diff } from './diff/index';\nimport { createElement, Fragment } from './create-element';\nimport options from './options';\n\nconst IS_HYDRATE = EMPTY_OBJ;\n\n/**\n * Render a Preact virtual node into a DOM element\n * @param {import('./index').ComponentChild} vnode The virtual node to render\n * @param {import('./internal').PreactElement} parentDom The DOM element to\n * render into\n * @param {Element | Text} [replaceNode] Optional: Attempt to re-use an\n * existing DOM tree rooted at `replaceNode`\n */\nexport function render(vnode, parentDom, replaceNode) {\n\tif (options._root) options._root(vnode, parentDom);\n\n\t// We abuse the `replaceNode` parameter in `hydrate()` to signal if we\n\t// are in hydration mode or not by passing `IS_HYDRATE` instead of a\n\t// DOM element.\n\tlet isHydrating = replaceNode === IS_HYDRATE;\n\n\t// To be able to support calling `render()` multiple times on the same\n\t// DOM node, we need to obtain a reference to the previous tree. We do\n\t// this by assigning a new `_children` property to DOM nodes which points\n\t// to the last rendered tree. By default this property is not present, which\n\t// means that we are mounting a new tree for the first time.\n\tlet oldVNode = isHydrating\n\t\t? null\n\t\t: (replaceNode && replaceNode._children) || parentDom._children;\n\tvnode = createElement(Fragment, null, [vnode]);\n\n\t// List of effects that need to be called after diffing.\n\tlet commitQueue = [];\n\tdiff(\n\t\tparentDom,\n\t\t// Determine the new vnode tree and store it on the DOM element on\n\t\t// our custom `_children` property.\n\t\t((isHydrating ? parentDom : replaceNode || parentDom)._children = vnode),\n\t\toldVNode || EMPTY_OBJ,\n\t\tEMPTY_OBJ,\n\t\tparentDom.ownerSVGElement !== undefined,\n\t\treplaceNode && !isHydrating\n\t\t\t? [replaceNode]\n\t\t\t: oldVNode\n\t\t\t? null\n\t\t\t: parentDom.childNodes.length\n\t\t\t? EMPTY_ARR.slice.call(parentDom.childNodes)\n\t\t\t: null,\n\t\tcommitQueue,\n\t\treplaceNode || EMPTY_OBJ,\n\t\tisHydrating\n\t);\n\n\t// Flush all queued effects\n\tcommitRoot(commitQueue, vnode);\n}\n\n/**\n * Update an existing DOM element with data from a Preact virtual node\n * @param {import('./index').ComponentChild} vnode The virtual node to render\n * @param {import('./internal').PreactElement} parentDom The DOM element to\n * update\n */\nexport function hydrate(vnode, parentDom) {\n\trender(vnode, parentDom, IS_HYDRATE);\n}\n","import { assign } from './util';\nimport { EMPTY_ARR } from './constants';\nimport { createVNode } from './create-element';\n\n/**\n * Clones the given VNode, optionally adding attributes/props and replacing its children.\n * @param {import('./internal').VNode} vnode The virtual DOM element to clone\n * @param {object} props Attributes/props to add when cloning\n * @param {Array} rest Any additional arguments will be used as replacement children.\n * @returns {import('./internal').VNode}\n */\nexport function cloneElement(vnode, props) {\n\tprops = assign(assign({}, vnode.props), props);\n\tif (arguments.length > 2) props.children = EMPTY_ARR.slice.call(arguments, 2);\n\tlet normalizedProps = {};\n\tfor (const i in props) {\n\t\tif (i !== 'key' && i !== 'ref') normalizedProps[i] = props[i];\n\t}\n\n\treturn createVNode(\n\t\tvnode.type,\n\t\tnormalizedProps,\n\t\tprops.key || vnode.key,\n\t\tprops.ref || vnode.ref,\n\t\tnull\n\t);\n}\n","import { enqueueRender } from './component';\n\nexport let i = 0;\n\nexport function createContext(defaultValue) {\n\tconst ctx = {};\n\n\tconst context = {\n\t\t_id: '__cC' + i++,\n\t\t_defaultValue: defaultValue,\n\t\tConsumer(props, context) {\n\t\t\treturn props.children(context);\n\t\t},\n\t\tProvider(props) {\n\t\t\tif (!this.getChildContext) {\n\t\t\t\tconst subs = [];\n\t\t\t\tthis.getChildContext = () => {\n\t\t\t\t\tctx[context._id] = this;\n\t\t\t\t\treturn ctx;\n\t\t\t\t};\n\n\t\t\t\tthis.shouldComponentUpdate = _props => {\n\t\t\t\t\tif (this.props.value !== _props.value) {\n\t\t\t\t\t\tsubs.some(c => {\n\t\t\t\t\t\t\tc.context = _props.value;\n\t\t\t\t\t\t\tenqueueRender(c);\n\t\t\t\t\t\t});\n\t\t\t\t\t}\n\t\t\t\t};\n\n\t\t\t\tthis.sub = c => {\n\t\t\t\t\tsubs.push(c);\n\t\t\t\t\tlet old = c.componentWillUnmount;\n\t\t\t\t\tc.componentWillUnmount = () => {\n\t\t\t\t\t\tsubs.splice(subs.indexOf(c), 1);\n\t\t\t\t\t\told && old.call(c);\n\t\t\t\t\t};\n\t\t\t\t};\n\t\t\t}\n\n\t\t\treturn props.children;\n\t\t}\n\t};\n\n\tcontext.Consumer.contextType = context;\n\n\t// Devtools needs access to the context object when it\n\t// encounters a Provider. This is necessary to support\n\t// setting `displayName` on the context object instead\n\t// of on the component itself. See:\n\t// https://reactjs.org/docs/context.html#contextdisplayname\n\tcontext.Provider._contextRef = context;\n\n\treturn context;\n}\n","export const EMPTY_OBJ = {};\nexport const EMPTY_ARR = [];\nexport const IS_NON_DIMENSIONAL = /acit|ex(?:s|g|n|p|$)|rph|grid|ows|mnc|ntw|ine[ch]|zoo|^ord|itera/i;\n","import { _catchError } from './diff/catch-error';\n\n/**\n * The `option` object can potentially contain callback functions\n * that are called during various stages of our renderer. This is the\n * foundation on which all our addons like `preact/debug`, `preact/compat`,\n * and `preact/hooks` are based on. See the `Options` type in `internal.d.ts`\n * for a full list of available option hooks (most editors/IDEs allow you to\n * ctrl+click or cmd+click on mac the type definition below).\n * @type {import('./internal').Options}\n */\nconst options = {\n\t_catchError\n};\n\nexport default options;\n","import { enqueueRender } from '../component';\n\n/**\n * Find the closest error boundary to a thrown error and call it\n * @param {object} error The thrown value\n * @param {import('../internal').VNode} vnode The vnode that threw\n * the error that was caught (except for unmounting when this parameter\n * is the highest parent that was being unmounted)\n */\nexport function _catchError(error, vnode) {\n\t/** @type {import('../internal').Component} */\n\tlet component, hasCaught;\n\n\tfor (; (vnode = vnode._parent); ) {\n\t\tif ((component = vnode._component) && !component._processingException) {\n\t\t\ttry {\n\t\t\t\tif (\n\t\t\t\t\tcomponent.constructor &&\n\t\t\t\t\tcomponent.constructor.getDerivedStateFromError != null\n\t\t\t\t) {\n\t\t\t\t\thasCaught = true;\n\t\t\t\t\tcomponent.setState(\n\t\t\t\t\t\tcomponent.constructor.getDerivedStateFromError(error)\n\t\t\t\t\t);\n\t\t\t\t}\n\n\t\t\t\tif (component.componentDidCatch != null) {\n\t\t\t\t\thasCaught = true;\n\t\t\t\t\tcomponent.componentDidCatch(error);\n\t\t\t\t}\n\n\t\t\t\tif (hasCaught)\n\t\t\t\t\treturn enqueueRender((component._pendingError = component));\n\t\t\t} catch (e) {\n\t\t\t\terror = e;\n\t\t\t}\n\t\t}\n\t}\n\n\tthrow error;\n}\n","/* global __webpack_public_path__ */\n\nimport * as Preact from 'preact';\nconst { h, render, hydrate } = Preact;\n\nconst interopDefault = m => (m && m.default ? m.default : m);\n\nconst normalizeURL = url => (url[url.length - 1] === '/' ? url : url + '/');\n\nif (process.env.NODE_ENV === 'development') {\n\t// enable preact devtools\n\trequire('preact/debug');\n\tif (process.env.RHL) {\n\t\t// enable hot loader\n\t\tconst hotLoader = interopDefault(require('react-hot-loader'));\n\t\thotLoader.preact(interopDefault(require('preact')));\n\t}\n\t// only add a debug sw if webpack service worker is not requested.\n\tif (process.env.ADD_SW === undefined && 'serviceWorker' in navigator) {\n\t\t// eslint-disable-next-line no-undef\n\t\tnavigator.serviceWorker.register(__webpack_public_path__ + 'sw-debug.js');\n\t} else if (process.env.ADD_SW && 'serviceWorker' in navigator) {\n\t\t// eslint-disable-next-line no-undef\n\t\tnavigator.serviceWorker.register(\n\t\t\t__webpack_public_path__ + (process.env.ES_BUILD ? 'sw-esm.js' : 'sw.js')\n\t\t);\n\t}\n} else if (process.env.ADD_SW && 'serviceWorker' in navigator) {\n\t// eslint-disable-next-line no-undef\n\tnavigator.serviceWorker.register(\n\t\t__webpack_public_path__ + (process.env.ES_BUILD ? 'sw-esm.js' : 'sw.js')\n\t);\n}\n\nlet app = interopDefault(require('preact-cli-entrypoint'));\n\nif (typeof app === 'function') {\n\tlet root =\n\t\tdocument.getElementById('preact_root') || document.body.firstElementChild;\n\n\tlet init = () => {\n\t\tlet app = interopDefault(require('preact-cli-entrypoint'));\n\t\tlet preRenderData = {};\n\t\tconst inlineDataElement = document.querySelector(\n\t\t\t'[type=\"__PREACT_CLI_DATA__\"]'\n\t\t);\n\t\tif (inlineDataElement) {\n\t\t\tpreRenderData =\n\t\t\t\tJSON.parse(inlineDataElement.innerHTML).preRenderData || preRenderData;\n\t\t}\n\t\t/* An object named CLI_DATA is passed as a prop,\n\t\t * this keeps us future proof if in case we decide,\n\t\t * to send other data like at some point in time.\n\t\t */\n\t\tconst CLI_DATA = { preRenderData };\n\t\tconst currentURL = preRenderData.url ? normalizeURL(preRenderData.url) : '';\n\t\tconst canHydrate =\n\t\t\tprocess.env.PRERENDER &&\n\t\t\tprocess.env.NODE_ENV === 'production' &&\n\t\t\thydrate &&\n\t\t\tcurrentURL === location.pathname;\n\t\tconst doRender = canHydrate ? hydrate : render;\n\t\troot = doRender(h(app, { CLI_DATA }), document.body, root);\n\t};\n\n\tif (module.hot) module.hot.accept('preact-cli-entrypoint', init);\n\n\tinit();\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./Statistica.js\") );\n\t\t\t}, \"route-Statistica\");\n\t\t}\n\n\t\texport default Async(load);\n\t","var g;\n\n// This works in non-strict mode\ng = (function() {\n\treturn this;\n})();\n\ntry {\n\t// This works if eval is allowed (see CSP)\n\tg = g || new Function(\"return this\")();\n} catch (e) {\n\t// This works if the window reference is available\n\tif (typeof window === \"object\") g = window;\n}\n\n// g can still be undefined, but nothing to do about it...\n// We return undefined, instead of nothing here, so it's\n// easier to handle this case. if(!global) { ...}\n\nmodule.exports = g;\n","import { ExtendedError, WrappedFunction } from '@sentry/types';\n\nimport { isElement, isError, isEvent, isInstanceOf, isPlainObject, isPrimitive, isSyntheticEvent } from './is';\nimport { Memo } from './memo';\nimport { getFunctionName, htmlTreeAsString } from './misc';\nimport { truncate } from './string';\n\n/**\n * Wrap a given object method with a higher-order function\n *\n * @param source An object that contains a method to be wrapped.\n * @param name A name of method to be wrapped.\n * @param replacement A function that should be used to wrap a given method.\n * @returns void\n */\nexport function fill(source: { [key: string]: any }, name: string, replacement: (...args: any[]) => any): void {\n if (!(name in source)) {\n return;\n }\n\n const original = source[name] as () => any;\n const wrapped = replacement(original) as WrappedFunction;\n\n // Make sure it's a function first, as we need to attach an empty prototype for `defineProperties` to work\n // otherwise it'll throw \"TypeError: Object.defineProperties called on non-object\"\n // tslint:disable-next-line:strict-type-predicates\n if (typeof wrapped === 'function') {\n try {\n wrapped.prototype = wrapped.prototype || {};\n Object.defineProperties(wrapped, {\n __sentry_original__: {\n enumerable: false,\n value: original,\n },\n });\n } catch (_Oo) {\n // This can throw if multiple fill happens on a global object like XMLHttpRequest\n // Fixes https://github.com/getsentry/sentry-javascript/issues/2043\n }\n }\n\n source[name] = wrapped;\n}\n\n/**\n * Encodes given object into url-friendly format\n *\n * @param object An object that contains serializable values\n * @returns string Encoded\n */\nexport function urlEncode(object: { [key: string]: any }): string {\n return Object.keys(object)\n .map(\n // tslint:disable-next-line:no-unsafe-any\n key => `${encodeURIComponent(key)}=${encodeURIComponent(object[key])}`,\n )\n .join('&');\n}\n\n/**\n * Transforms any object into an object literal with all it's attributes\n * attached to it.\n *\n * @param value Initial source that we have to transform in order to be usable by the serializer\n */\nfunction getWalkSource(\n value: any,\n): {\n [key: string]: any;\n} {\n if (isError(value)) {\n const error = value as ExtendedError;\n const err: {\n stack: string | undefined;\n message: string;\n name: string;\n [key: string]: any;\n } = {\n message: error.message,\n name: error.name,\n stack: error.stack,\n };\n\n for (const i in error) {\n if (Object.prototype.hasOwnProperty.call(error, i)) {\n err[i] = error[i];\n }\n }\n\n return err;\n }\n\n if (isEvent(value)) {\n /**\n * Event-like interface that's usable in browser and node\n */\n interface SimpleEvent {\n [key: string]: unknown;\n type: string;\n target?: unknown;\n currentTarget?: unknown;\n }\n\n const event = value as SimpleEvent;\n\n const source: {\n [key: string]: any;\n } = {};\n\n source.type = event.type;\n\n // Accessing event.target can throw (see getsentry/raven-js#838, #768)\n try {\n source.target = isElement(event.target)\n ? htmlTreeAsString(event.target)\n : Object.prototype.toString.call(event.target);\n } catch (_oO) {\n source.target = '';\n }\n\n try {\n source.currentTarget = isElement(event.currentTarget)\n ? htmlTreeAsString(event.currentTarget)\n : Object.prototype.toString.call(event.currentTarget);\n } catch (_oO) {\n source.currentTarget = '';\n }\n\n // tslint:disable-next-line:strict-type-predicates\n if (typeof CustomEvent !== 'undefined' && isInstanceOf(value, CustomEvent)) {\n source.detail = event.detail;\n }\n\n for (const i in event) {\n if (Object.prototype.hasOwnProperty.call(event, i)) {\n source[i] = event;\n }\n }\n\n return source;\n }\n\n return value as {\n [key: string]: any;\n };\n}\n\n/** Calculates bytes size of input string */\nfunction utf8Length(value: string): number {\n // tslint:disable-next-line:no-bitwise\n return ~-encodeURI(value).split(/%..|./).length;\n}\n\n/** Calculates bytes size of input object */\nfunction jsonSize(value: any): number {\n return utf8Length(JSON.stringify(value));\n}\n\n/** JSDoc */\nexport function normalizeToSize(\n object: { [key: string]: any },\n // Default Node.js REPL depth\n depth: number = 3,\n // 100kB, as 200kB is max payload size, so half sounds reasonable\n maxSize: number = 100 * 1024,\n): T {\n const serialized = normalize(object, depth);\n\n if (jsonSize(serialized) > maxSize) {\n return normalizeToSize(object, depth - 1, maxSize);\n }\n\n return serialized as T;\n}\n\n/** Transforms any input value into a string form, either primitive value or a type of the input */\nfunction serializeValue(value: any): any {\n const type = Object.prototype.toString.call(value);\n\n // Node.js REPL notation\n if (typeof value === 'string') {\n return value;\n }\n if (type === '[object Object]') {\n return '[Object]';\n }\n if (type === '[object Array]') {\n return '[Array]';\n }\n\n const normalized = normalizeValue(value);\n return isPrimitive(normalized) ? normalized : type;\n}\n\n/**\n * normalizeValue()\n *\n * Takes unserializable input and make it serializable friendly\n *\n * - translates undefined/NaN values to \"[undefined]\"/\"[NaN]\" respectively,\n * - serializes Error objects\n * - filter global objects\n */\n// tslint:disable-next-line:cyclomatic-complexity\nfunction normalizeValue(value: T, key?: any): T | string {\n if (key === 'domain' && value && typeof value === 'object' && ((value as unknown) as { _events: any })._events) {\n return '[Domain]';\n }\n\n if (key === 'domainEmitter') {\n return '[DomainEmitter]';\n }\n\n if (typeof (global as any) !== 'undefined' && (value as unknown) === global) {\n return '[Global]';\n }\n\n if (typeof (window as any) !== 'undefined' && (value as unknown) === window) {\n return '[Window]';\n }\n\n if (typeof (document as any) !== 'undefined' && (value as unknown) === document) {\n return '[Document]';\n }\n\n // React's SyntheticEvent thingy\n if (isSyntheticEvent(value)) {\n return '[SyntheticEvent]';\n }\n\n // tslint:disable-next-line:no-tautology-expression\n if (typeof value === 'number' && value !== value) {\n return '[NaN]';\n }\n\n if (value === void 0) {\n return '[undefined]';\n }\n\n if (typeof value === 'function') {\n return `[Function: ${getFunctionName(value)}]`;\n }\n\n return value;\n}\n\n/**\n * Walks an object to perform a normalization on it\n *\n * @param key of object that's walked in current iteration\n * @param value object to be walked\n * @param depth Optional number indicating how deep should walking be performed\n * @param memo Optional Memo class handling decycling\n */\nexport function walk(key: string, value: any, depth: number = +Infinity, memo: Memo = new Memo()): any {\n // If we reach the maximum depth, serialize whatever has left\n if (depth === 0) {\n return serializeValue(value);\n }\n\n // If value implements `toJSON` method, call it and return early\n // tslint:disable:no-unsafe-any\n if (value !== null && value !== undefined && typeof value.toJSON === 'function') {\n return value.toJSON();\n }\n // tslint:enable:no-unsafe-any\n\n // If normalized value is a primitive, there are no branches left to walk, so we can just bail out, as theres no point in going down that branch any further\n const normalized = normalizeValue(value, key);\n if (isPrimitive(normalized)) {\n return normalized;\n }\n\n // Create source that we will use for next itterations, either objectified error object (Error type with extracted keys:value pairs) or the input itself\n const source = getWalkSource(value);\n\n // Create an accumulator that will act as a parent for all future itterations of that branch\n const acc = Array.isArray(value) ? [] : {};\n\n // If we already walked that branch, bail out, as it's circular reference\n if (memo.memoize(value)) {\n return '[Circular ~]';\n }\n\n // Walk all keys of the source\n for (const innerKey in source) {\n // Avoid iterating over fields in the prototype if they've somehow been exposed to enumeration.\n if (!Object.prototype.hasOwnProperty.call(source, innerKey)) {\n continue;\n }\n // Recursively walk through all the child nodes\n (acc as { [key: string]: any })[innerKey] = walk(innerKey, source[innerKey], depth - 1, memo);\n }\n\n // Once walked through all the branches, remove the parent from memo storage\n memo.unmemoize(value);\n\n // Return accumulated values\n return acc;\n}\n\n/**\n * normalize()\n *\n * - Creates a copy to prevent original input mutation\n * - Skip non-enumerablers\n * - Calls `toJSON` if implemented\n * - Removes circular references\n * - Translates non-serializeable values (undefined/NaN/Functions) to serializable format\n * - Translates known global objects/Classes to a string representations\n * - Takes care of Error objects serialization\n * - Optionally limit depth of final output\n */\nexport function normalize(input: any, depth?: number): any {\n try {\n // tslint:disable-next-line:no-unsafe-any\n return JSON.parse(JSON.stringify(input, (key: string, value: any) => walk(key, value, depth)));\n } catch (_oO) {\n return '**non-serializable**';\n }\n}\n\n/**\n * Given any captured exception, extract its keys and create a sorted\n * and truncated list that will be used inside the event message.\n * eg. `Non-error exception captured with keys: foo, bar, baz`\n */\nexport function extractExceptionKeysForMessage(exception: any, maxLength: number = 40): string {\n // tslint:disable:strict-type-predicates\n const keys = Object.keys(getWalkSource(exception));\n keys.sort();\n\n if (!keys.length) {\n return '[object has no keys]';\n }\n\n if (keys[0].length >= maxLength) {\n return truncate(keys[0], maxLength);\n }\n\n for (let includedKeys = keys.length; includedKeys > 0; includedKeys--) {\n const serialized = keys.slice(0, includedKeys).join(', ');\n if (serialized.length > maxLength) {\n continue;\n }\n if (includedKeys === keys.length) {\n return serialized;\n }\n return truncate(serialized, maxLength);\n }\n\n return '';\n}\n\n/**\n * Given any object, return the new object with removed keys that value was `undefined`.\n * Works recursively on objects and arrays.\n */\nexport function dropUndefinedKeys(val: T): T {\n if (isPlainObject(val)) {\n const obj = val as { [key: string]: any };\n const rv: { [key: string]: any } = {};\n for (const key of Object.keys(obj)) {\n if (typeof obj[key] !== 'undefined') {\n rv[key] = dropUndefinedKeys(obj[key]);\n }\n }\n return rv as T;\n }\n\n if (Array.isArray(val)) {\n return val.map(dropUndefinedKeys) as any;\n }\n\n return val;\n}\n","import style from './Footer.less';\nimport { Component } from 'preact';\n\nexport default function(props) {\n\treturn (\n\t\t
\n\t\t\t© {new Date().getFullYear()}\n\t\t\t - \n\t\t\tStefano Pigozzi\n\t\t\t - \n\t\t\tCC BY-SA 4.0\n\t\t\t - \n\t\t\tuni.steffo.eu {process.env.RELEASE}\n\t\t\t - \n\t\t\tSupportami\n\t\t
\n\t);\n}\n","export default function _extends() {\n _extends = Object.assign || function (target) {\n for (var i = 1; i < arguments.length; i++) {\n var source = arguments[i];\n\n for (var key in source) {\n if (Object.prototype.hasOwnProperty.call(source, key)) {\n target[key] = source[key];\n }\n }\n }\n\n return target;\n };\n\n return _extends.apply(this, arguments);\n}","function isAbsolute(pathname) {\n return pathname.charAt(0) === '/';\n}\n\n// About 1.5x faster than the two-arg version of Array#splice()\nfunction spliceOne(list, index) {\n for (var i = index, k = i + 1, n = list.length; k < n; i += 1, k += 1) {\n list[i] = list[k];\n }\n\n list.pop();\n}\n\n// This implementation is based heavily on node's url.parse\nfunction resolvePathname(to, from) {\n if (from === undefined) from = '';\n\n var toParts = (to && to.split('/')) || [];\n var fromParts = (from && from.split('/')) || [];\n\n var isToAbs = to && isAbsolute(to);\n var isFromAbs = from && isAbsolute(from);\n var mustEndAbs = isToAbs || isFromAbs;\n\n if (to && isAbsolute(to)) {\n // to is absolute\n fromParts = toParts;\n } else if (toParts.length) {\n // to is relative, drop the filename\n fromParts.pop();\n fromParts = fromParts.concat(toParts);\n }\n\n if (!fromParts.length) return '/';\n\n var hasTrailingSlash;\n if (fromParts.length) {\n var last = fromParts[fromParts.length - 1];\n hasTrailingSlash = last === '.' || last === '..' || last === '';\n } else {\n hasTrailingSlash = false;\n }\n\n var up = 0;\n for (var i = fromParts.length; i >= 0; i--) {\n var part = fromParts[i];\n\n if (part === '.') {\n spliceOne(fromParts, i);\n } else if (part === '..') {\n spliceOne(fromParts, i);\n up++;\n } else if (up) {\n spliceOne(fromParts, i);\n up--;\n }\n }\n\n if (!mustEndAbs) for (; up--; up) fromParts.unshift('..');\n\n if (\n mustEndAbs &&\n fromParts[0] !== '' &&\n (!fromParts[0] || !isAbsolute(fromParts[0]))\n )\n fromParts.unshift('');\n\n var result = fromParts.join('/');\n\n if (hasTrailingSlash && result.substr(-1) !== '/') result += '/';\n\n return result;\n}\n\nexport default resolvePathname;\n","import _extends from '@babel/runtime/helpers/esm/extends';\nimport resolvePathname from 'resolve-pathname';\nimport valueEqual from 'value-equal';\nimport warning from 'tiny-warning';\nimport invariant from 'tiny-invariant';\n\nfunction addLeadingSlash(path) {\n return path.charAt(0) === '/' ? path : '/' + path;\n}\nfunction stripLeadingSlash(path) {\n return path.charAt(0) === '/' ? path.substr(1) : path;\n}\nfunction hasBasename(path, prefix) {\n return path.toLowerCase().indexOf(prefix.toLowerCase()) === 0 && '/?#'.indexOf(path.charAt(prefix.length)) !== -1;\n}\nfunction stripBasename(path, prefix) {\n return hasBasename(path, prefix) ? path.substr(prefix.length) : path;\n}\nfunction stripTrailingSlash(path) {\n return path.charAt(path.length - 1) === '/' ? path.slice(0, -1) : path;\n}\nfunction parsePath(path) {\n var pathname = path || '/';\n var search = '';\n var hash = '';\n var hashIndex = pathname.indexOf('#');\n\n if (hashIndex !== -1) {\n hash = pathname.substr(hashIndex);\n pathname = pathname.substr(0, hashIndex);\n }\n\n var searchIndex = pathname.indexOf('?');\n\n if (searchIndex !== -1) {\n search = pathname.substr(searchIndex);\n pathname = pathname.substr(0, searchIndex);\n }\n\n return {\n pathname: pathname,\n search: search === '?' ? '' : search,\n hash: hash === '#' ? '' : hash\n };\n}\nfunction createPath(location) {\n var pathname = location.pathname,\n search = location.search,\n hash = location.hash;\n var path = pathname || '/';\n if (search && search !== '?') path += search.charAt(0) === '?' ? search : \"?\" + search;\n if (hash && hash !== '#') path += hash.charAt(0) === '#' ? hash : \"#\" + hash;\n return path;\n}\n\nfunction createLocation(path, state, key, currentLocation) {\n var location;\n\n if (typeof path === 'string') {\n // Two-arg form: push(path, state)\n location = parsePath(path);\n location.state = state;\n } else {\n // One-arg form: push(location)\n location = _extends({}, path);\n if (location.pathname === undefined) location.pathname = '';\n\n if (location.search) {\n if (location.search.charAt(0) !== '?') location.search = '?' + location.search;\n } else {\n location.search = '';\n }\n\n if (location.hash) {\n if (location.hash.charAt(0) !== '#') location.hash = '#' + location.hash;\n } else {\n location.hash = '';\n }\n\n if (state !== undefined && location.state === undefined) location.state = state;\n }\n\n try {\n location.pathname = decodeURI(location.pathname);\n } catch (e) {\n if (e instanceof URIError) {\n throw new URIError('Pathname \"' + location.pathname + '\" could not be decoded. ' + 'This is likely caused by an invalid percent-encoding.');\n } else {\n throw e;\n }\n }\n\n if (key) location.key = key;\n\n if (currentLocation) {\n // Resolve incomplete/relative pathname relative to current location.\n if (!location.pathname) {\n location.pathname = currentLocation.pathname;\n } else if (location.pathname.charAt(0) !== '/') {\n location.pathname = resolvePathname(location.pathname, currentLocation.pathname);\n }\n } else {\n // When there is no prior location and pathname is empty, set it to /\n if (!location.pathname) {\n location.pathname = '/';\n }\n }\n\n return location;\n}\nfunction locationsAreEqual(a, b) {\n return a.pathname === b.pathname && a.search === b.search && a.hash === b.hash && a.key === b.key && valueEqual(a.state, b.state);\n}\n\nfunction createTransitionManager() {\n var prompt = null;\n\n function setPrompt(nextPrompt) {\n process.env.NODE_ENV !== \"production\" ? warning(prompt == null, 'A history supports only one prompt at a time') : void 0;\n prompt = nextPrompt;\n return function () {\n if (prompt === nextPrompt) prompt = null;\n };\n }\n\n function confirmTransitionTo(location, action, getUserConfirmation, callback) {\n // TODO: If another transition starts while we're still confirming\n // the previous one, we may end up in a weird state. Figure out the\n // best way to handle this.\n if (prompt != null) {\n var result = typeof prompt === 'function' ? prompt(location, action) : prompt;\n\n if (typeof result === 'string') {\n if (typeof getUserConfirmation === 'function') {\n getUserConfirmation(result, callback);\n } else {\n process.env.NODE_ENV !== \"production\" ? warning(false, 'A history needs a getUserConfirmation function in order to use a prompt message') : void 0;\n callback(true);\n }\n } else {\n // Return false from a transition hook to cancel the transition.\n callback(result !== false);\n }\n } else {\n callback(true);\n }\n }\n\n var listeners = [];\n\n function appendListener(fn) {\n var isActive = true;\n\n function listener() {\n if (isActive) fn.apply(void 0, arguments);\n }\n\n listeners.push(listener);\n return function () {\n isActive = false;\n listeners = listeners.filter(function (item) {\n return item !== listener;\n });\n };\n }\n\n function notifyListeners() {\n for (var _len = arguments.length, args = new Array(_len), _key = 0; _key < _len; _key++) {\n args[_key] = arguments[_key];\n }\n\n listeners.forEach(function (listener) {\n return listener.apply(void 0, args);\n });\n }\n\n return {\n setPrompt: setPrompt,\n confirmTransitionTo: confirmTransitionTo,\n appendListener: appendListener,\n notifyListeners: notifyListeners\n };\n}\n\nvar canUseDOM = !!(typeof window !== 'undefined' && window.document && window.document.createElement);\nfunction getConfirmation(message, callback) {\n callback(window.confirm(message)); // eslint-disable-line no-alert\n}\n/**\n * Returns true if the HTML5 history API is supported. Taken from Modernizr.\n *\n * https://github.com/Modernizr/Modernizr/blob/master/LICENSE\n * https://github.com/Modernizr/Modernizr/blob/master/feature-detects/history.js\n * changed to avoid false negatives for Windows Phones: https://github.com/reactjs/react-router/issues/586\n */\n\nfunction supportsHistory() {\n var ua = window.navigator.userAgent;\n if ((ua.indexOf('Android 2.') !== -1 || ua.indexOf('Android 4.0') !== -1) && ua.indexOf('Mobile Safari') !== -1 && ua.indexOf('Chrome') === -1 && ua.indexOf('Windows Phone') === -1) return false;\n return window.history && 'pushState' in window.history;\n}\n/**\n * Returns true if browser fires popstate on hash change.\n * IE10 and IE11 do not.\n */\n\nfunction supportsPopStateOnHashChange() {\n return window.navigator.userAgent.indexOf('Trident') === -1;\n}\n/**\n * Returns false if using go(n) with hash history causes a full page reload.\n */\n\nfunction supportsGoWithoutReloadUsingHash() {\n return window.navigator.userAgent.indexOf('Firefox') === -1;\n}\n/**\n * Returns true if a given popstate event is an extraneous WebKit event.\n * Accounts for the fact that Chrome on iOS fires real popstate events\n * containing undefined state when pressing the back button.\n */\n\nfunction isExtraneousPopstateEvent(event) {\n return event.state === undefined && navigator.userAgent.indexOf('CriOS') === -1;\n}\n\nvar PopStateEvent = 'popstate';\nvar HashChangeEvent = 'hashchange';\n\nfunction getHistoryState() {\n try {\n return window.history.state || {};\n } catch (e) {\n // IE 11 sometimes throws when accessing window.history.state\n // See https://github.com/ReactTraining/history/pull/289\n return {};\n }\n}\n/**\n * Creates a history object that uses the HTML5 history API including\n * pushState, replaceState, and the popstate event.\n */\n\n\nfunction createBrowserHistory(props) {\n if (props === void 0) {\n props = {};\n }\n\n !canUseDOM ? process.env.NODE_ENV !== \"production\" ? invariant(false, 'Browser history needs a DOM') : invariant(false) : void 0;\n var globalHistory = window.history;\n var canUseHistory = supportsHistory();\n var needsHashChangeListener = !supportsPopStateOnHashChange();\n var _props = props,\n _props$forceRefresh = _props.forceRefresh,\n forceRefresh = _props$forceRefresh === void 0 ? false : _props$forceRefresh,\n _props$getUserConfirm = _props.getUserConfirmation,\n getUserConfirmation = _props$getUserConfirm === void 0 ? getConfirmation : _props$getUserConfirm,\n _props$keyLength = _props.keyLength,\n keyLength = _props$keyLength === void 0 ? 6 : _props$keyLength;\n var basename = props.basename ? stripTrailingSlash(addLeadingSlash(props.basename)) : '';\n\n function getDOMLocation(historyState) {\n var _ref = historyState || {},\n key = _ref.key,\n state = _ref.state;\n\n var _window$location = window.location,\n pathname = _window$location.pathname,\n search = _window$location.search,\n hash = _window$location.hash;\n var path = pathname + search + hash;\n process.env.NODE_ENV !== \"production\" ? warning(!basename || hasBasename(path, basename), 'You are attempting to use a basename on a page whose URL path does not begin ' + 'with the basename. Expected path \"' + path + '\" to begin with \"' + basename + '\".') : void 0;\n if (basename) path = stripBasename(path, basename);\n return createLocation(path, state, key);\n }\n\n function createKey() {\n return Math.random().toString(36).substr(2, keyLength);\n }\n\n var transitionManager = createTransitionManager();\n\n function setState(nextState) {\n _extends(history, nextState);\n\n history.length = globalHistory.length;\n transitionManager.notifyListeners(history.location, history.action);\n }\n\n function handlePopState(event) {\n // Ignore extraneous popstate events in WebKit.\n if (isExtraneousPopstateEvent(event)) return;\n handlePop(getDOMLocation(event.state));\n }\n\n function handleHashChange() {\n handlePop(getDOMLocation(getHistoryState()));\n }\n\n var forceNextPop = false;\n\n function handlePop(location) {\n if (forceNextPop) {\n forceNextPop = false;\n setState();\n } else {\n var action = 'POP';\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (ok) {\n setState({\n action: action,\n location: location\n });\n } else {\n revertPop(location);\n }\n });\n }\n }\n\n function revertPop(fromLocation) {\n var toLocation = history.location; // TODO: We could probably make this more reliable by\n // keeping a list of keys we've seen in sessionStorage.\n // Instead, we just default to 0 for keys we don't know.\n\n var toIndex = allKeys.indexOf(toLocation.key);\n if (toIndex === -1) toIndex = 0;\n var fromIndex = allKeys.indexOf(fromLocation.key);\n if (fromIndex === -1) fromIndex = 0;\n var delta = toIndex - fromIndex;\n\n if (delta) {\n forceNextPop = true;\n go(delta);\n }\n }\n\n var initialLocation = getDOMLocation(getHistoryState());\n var allKeys = [initialLocation.key]; // Public interface\n\n function createHref(location) {\n return basename + createPath(location);\n }\n\n function push(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(!(typeof path === 'object' && path.state !== undefined && state !== undefined), 'You should avoid providing a 2nd state argument to push when the 1st ' + 'argument is a location-like object that already has state; it is ignored') : void 0;\n var action = 'PUSH';\n var location = createLocation(path, state, createKey(), history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var href = createHref(location);\n var key = location.key,\n state = location.state;\n\n if (canUseHistory) {\n globalHistory.pushState({\n key: key,\n state: state\n }, null, href);\n\n if (forceRefresh) {\n window.location.href = href;\n } else {\n var prevIndex = allKeys.indexOf(history.location.key);\n var nextKeys = allKeys.slice(0, prevIndex + 1);\n nextKeys.push(location.key);\n allKeys = nextKeys;\n setState({\n action: action,\n location: location\n });\n }\n } else {\n process.env.NODE_ENV !== \"production\" ? warning(state === undefined, 'Browser history cannot push state in browsers that do not support HTML5 history') : void 0;\n window.location.href = href;\n }\n });\n }\n\n function replace(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(!(typeof path === 'object' && path.state !== undefined && state !== undefined), 'You should avoid providing a 2nd state argument to replace when the 1st ' + 'argument is a location-like object that already has state; it is ignored') : void 0;\n var action = 'REPLACE';\n var location = createLocation(path, state, createKey(), history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var href = createHref(location);\n var key = location.key,\n state = location.state;\n\n if (canUseHistory) {\n globalHistory.replaceState({\n key: key,\n state: state\n }, null, href);\n\n if (forceRefresh) {\n window.location.replace(href);\n } else {\n var prevIndex = allKeys.indexOf(history.location.key);\n if (prevIndex !== -1) allKeys[prevIndex] = location.key;\n setState({\n action: action,\n location: location\n });\n }\n } else {\n process.env.NODE_ENV !== \"production\" ? warning(state === undefined, 'Browser history cannot replace state in browsers that do not support HTML5 history') : void 0;\n window.location.replace(href);\n }\n });\n }\n\n function go(n) {\n globalHistory.go(n);\n }\n\n function goBack() {\n go(-1);\n }\n\n function goForward() {\n go(1);\n }\n\n var listenerCount = 0;\n\n function checkDOMListeners(delta) {\n listenerCount += delta;\n\n if (listenerCount === 1 && delta === 1) {\n window.addEventListener(PopStateEvent, handlePopState);\n if (needsHashChangeListener) window.addEventListener(HashChangeEvent, handleHashChange);\n } else if (listenerCount === 0) {\n window.removeEventListener(PopStateEvent, handlePopState);\n if (needsHashChangeListener) window.removeEventListener(HashChangeEvent, handleHashChange);\n }\n }\n\n var isBlocked = false;\n\n function block(prompt) {\n if (prompt === void 0) {\n prompt = false;\n }\n\n var unblock = transitionManager.setPrompt(prompt);\n\n if (!isBlocked) {\n checkDOMListeners(1);\n isBlocked = true;\n }\n\n return function () {\n if (isBlocked) {\n isBlocked = false;\n checkDOMListeners(-1);\n }\n\n return unblock();\n };\n }\n\n function listen(listener) {\n var unlisten = transitionManager.appendListener(listener);\n checkDOMListeners(1);\n return function () {\n checkDOMListeners(-1);\n unlisten();\n };\n }\n\n var history = {\n length: globalHistory.length,\n action: 'POP',\n location: initialLocation,\n createHref: createHref,\n push: push,\n replace: replace,\n go: go,\n goBack: goBack,\n goForward: goForward,\n block: block,\n listen: listen\n };\n return history;\n}\n\nvar HashChangeEvent$1 = 'hashchange';\nvar HashPathCoders = {\n hashbang: {\n encodePath: function encodePath(path) {\n return path.charAt(0) === '!' ? path : '!/' + stripLeadingSlash(path);\n },\n decodePath: function decodePath(path) {\n return path.charAt(0) === '!' ? path.substr(1) : path;\n }\n },\n noslash: {\n encodePath: stripLeadingSlash,\n decodePath: addLeadingSlash\n },\n slash: {\n encodePath: addLeadingSlash,\n decodePath: addLeadingSlash\n }\n};\n\nfunction stripHash(url) {\n var hashIndex = url.indexOf('#');\n return hashIndex === -1 ? url : url.slice(0, hashIndex);\n}\n\nfunction getHashPath() {\n // We can't use window.location.hash here because it's not\n // consistent across browsers - Firefox will pre-decode it!\n var href = window.location.href;\n var hashIndex = href.indexOf('#');\n return hashIndex === -1 ? '' : href.substring(hashIndex + 1);\n}\n\nfunction pushHashPath(path) {\n window.location.hash = path;\n}\n\nfunction replaceHashPath(path) {\n window.location.replace(stripHash(window.location.href) + '#' + path);\n}\n\nfunction createHashHistory(props) {\n if (props === void 0) {\n props = {};\n }\n\n !canUseDOM ? process.env.NODE_ENV !== \"production\" ? invariant(false, 'Hash history needs a DOM') : invariant(false) : void 0;\n var globalHistory = window.history;\n var canGoWithoutReload = supportsGoWithoutReloadUsingHash();\n var _props = props,\n _props$getUserConfirm = _props.getUserConfirmation,\n getUserConfirmation = _props$getUserConfirm === void 0 ? getConfirmation : _props$getUserConfirm,\n _props$hashType = _props.hashType,\n hashType = _props$hashType === void 0 ? 'slash' : _props$hashType;\n var basename = props.basename ? stripTrailingSlash(addLeadingSlash(props.basename)) : '';\n var _HashPathCoders$hashT = HashPathCoders[hashType],\n encodePath = _HashPathCoders$hashT.encodePath,\n decodePath = _HashPathCoders$hashT.decodePath;\n\n function getDOMLocation() {\n var path = decodePath(getHashPath());\n process.env.NODE_ENV !== \"production\" ? warning(!basename || hasBasename(path, basename), 'You are attempting to use a basename on a page whose URL path does not begin ' + 'with the basename. Expected path \"' + path + '\" to begin with \"' + basename + '\".') : void 0;\n if (basename) path = stripBasename(path, basename);\n return createLocation(path);\n }\n\n var transitionManager = createTransitionManager();\n\n function setState(nextState) {\n _extends(history, nextState);\n\n history.length = globalHistory.length;\n transitionManager.notifyListeners(history.location, history.action);\n }\n\n var forceNextPop = false;\n var ignorePath = null;\n\n function locationsAreEqual$$1(a, b) {\n return a.pathname === b.pathname && a.search === b.search && a.hash === b.hash;\n }\n\n function handleHashChange() {\n var path = getHashPath();\n var encodedPath = encodePath(path);\n\n if (path !== encodedPath) {\n // Ensure we always have a properly-encoded hash.\n replaceHashPath(encodedPath);\n } else {\n var location = getDOMLocation();\n var prevLocation = history.location;\n if (!forceNextPop && locationsAreEqual$$1(prevLocation, location)) return; // A hashchange doesn't always == location change.\n\n if (ignorePath === createPath(location)) return; // Ignore this change; we already setState in push/replace.\n\n ignorePath = null;\n handlePop(location);\n }\n }\n\n function handlePop(location) {\n if (forceNextPop) {\n forceNextPop = false;\n setState();\n } else {\n var action = 'POP';\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (ok) {\n setState({\n action: action,\n location: location\n });\n } else {\n revertPop(location);\n }\n });\n }\n }\n\n function revertPop(fromLocation) {\n var toLocation = history.location; // TODO: We could probably make this more reliable by\n // keeping a list of paths we've seen in sessionStorage.\n // Instead, we just default to 0 for paths we don't know.\n\n var toIndex = allPaths.lastIndexOf(createPath(toLocation));\n if (toIndex === -1) toIndex = 0;\n var fromIndex = allPaths.lastIndexOf(createPath(fromLocation));\n if (fromIndex === -1) fromIndex = 0;\n var delta = toIndex - fromIndex;\n\n if (delta) {\n forceNextPop = true;\n go(delta);\n }\n } // Ensure the hash is encoded properly before doing anything else.\n\n\n var path = getHashPath();\n var encodedPath = encodePath(path);\n if (path !== encodedPath) replaceHashPath(encodedPath);\n var initialLocation = getDOMLocation();\n var allPaths = [createPath(initialLocation)]; // Public interface\n\n function createHref(location) {\n var baseTag = document.querySelector('base');\n var href = '';\n\n if (baseTag && baseTag.getAttribute('href')) {\n href = stripHash(window.location.href);\n }\n\n return href + '#' + encodePath(basename + createPath(location));\n }\n\n function push(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(state === undefined, 'Hash history cannot push state; it is ignored') : void 0;\n var action = 'PUSH';\n var location = createLocation(path, undefined, undefined, history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var path = createPath(location);\n var encodedPath = encodePath(basename + path);\n var hashChanged = getHashPath() !== encodedPath;\n\n if (hashChanged) {\n // We cannot tell if a hashchange was caused by a PUSH, so we'd\n // rather setState here and ignore the hashchange. The caveat here\n // is that other hash histories in the page will consider it a POP.\n ignorePath = path;\n pushHashPath(encodedPath);\n var prevIndex = allPaths.lastIndexOf(createPath(history.location));\n var nextPaths = allPaths.slice(0, prevIndex + 1);\n nextPaths.push(path);\n allPaths = nextPaths;\n setState({\n action: action,\n location: location\n });\n } else {\n process.env.NODE_ENV !== \"production\" ? warning(false, 'Hash history cannot PUSH the same path; a new entry will not be added to the history stack') : void 0;\n setState();\n }\n });\n }\n\n function replace(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(state === undefined, 'Hash history cannot replace state; it is ignored') : void 0;\n var action = 'REPLACE';\n var location = createLocation(path, undefined, undefined, history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var path = createPath(location);\n var encodedPath = encodePath(basename + path);\n var hashChanged = getHashPath() !== encodedPath;\n\n if (hashChanged) {\n // We cannot tell if a hashchange was caused by a REPLACE, so we'd\n // rather setState here and ignore the hashchange. The caveat here\n // is that other hash histories in the page will consider it a POP.\n ignorePath = path;\n replaceHashPath(encodedPath);\n }\n\n var prevIndex = allPaths.indexOf(createPath(history.location));\n if (prevIndex !== -1) allPaths[prevIndex] = path;\n setState({\n action: action,\n location: location\n });\n });\n }\n\n function go(n) {\n process.env.NODE_ENV !== \"production\" ? warning(canGoWithoutReload, 'Hash history go(n) causes a full page reload in this browser') : void 0;\n globalHistory.go(n);\n }\n\n function goBack() {\n go(-1);\n }\n\n function goForward() {\n go(1);\n }\n\n var listenerCount = 0;\n\n function checkDOMListeners(delta) {\n listenerCount += delta;\n\n if (listenerCount === 1 && delta === 1) {\n window.addEventListener(HashChangeEvent$1, handleHashChange);\n } else if (listenerCount === 0) {\n window.removeEventListener(HashChangeEvent$1, handleHashChange);\n }\n }\n\n var isBlocked = false;\n\n function block(prompt) {\n if (prompt === void 0) {\n prompt = false;\n }\n\n var unblock = transitionManager.setPrompt(prompt);\n\n if (!isBlocked) {\n checkDOMListeners(1);\n isBlocked = true;\n }\n\n return function () {\n if (isBlocked) {\n isBlocked = false;\n checkDOMListeners(-1);\n }\n\n return unblock();\n };\n }\n\n function listen(listener) {\n var unlisten = transitionManager.appendListener(listener);\n checkDOMListeners(1);\n return function () {\n checkDOMListeners(-1);\n unlisten();\n };\n }\n\n var history = {\n length: globalHistory.length,\n action: 'POP',\n location: initialLocation,\n createHref: createHref,\n push: push,\n replace: replace,\n go: go,\n goBack: goBack,\n goForward: goForward,\n block: block,\n listen: listen\n };\n return history;\n}\n\nfunction clamp(n, lowerBound, upperBound) {\n return Math.min(Math.max(n, lowerBound), upperBound);\n}\n/**\n * Creates a history object that stores locations in memory.\n */\n\n\nfunction createMemoryHistory(props) {\n if (props === void 0) {\n props = {};\n }\n\n var _props = props,\n getUserConfirmation = _props.getUserConfirmation,\n _props$initialEntries = _props.initialEntries,\n initialEntries = _props$initialEntries === void 0 ? ['/'] : _props$initialEntries,\n _props$initialIndex = _props.initialIndex,\n initialIndex = _props$initialIndex === void 0 ? 0 : _props$initialIndex,\n _props$keyLength = _props.keyLength,\n keyLength = _props$keyLength === void 0 ? 6 : _props$keyLength;\n var transitionManager = createTransitionManager();\n\n function setState(nextState) {\n _extends(history, nextState);\n\n history.length = history.entries.length;\n transitionManager.notifyListeners(history.location, history.action);\n }\n\n function createKey() {\n return Math.random().toString(36).substr(2, keyLength);\n }\n\n var index = clamp(initialIndex, 0, initialEntries.length - 1);\n var entries = initialEntries.map(function (entry) {\n return typeof entry === 'string' ? createLocation(entry, undefined, createKey()) : createLocation(entry, undefined, entry.key || createKey());\n }); // Public interface\n\n var createHref = createPath;\n\n function push(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(!(typeof path === 'object' && path.state !== undefined && state !== undefined), 'You should avoid providing a 2nd state argument to push when the 1st ' + 'argument is a location-like object that already has state; it is ignored') : void 0;\n var action = 'PUSH';\n var location = createLocation(path, state, createKey(), history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var prevIndex = history.index;\n var nextIndex = prevIndex + 1;\n var nextEntries = history.entries.slice(0);\n\n if (nextEntries.length > nextIndex) {\n nextEntries.splice(nextIndex, nextEntries.length - nextIndex, location);\n } else {\n nextEntries.push(location);\n }\n\n setState({\n action: action,\n location: location,\n index: nextIndex,\n entries: nextEntries\n });\n });\n }\n\n function replace(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(!(typeof path === 'object' && path.state !== undefined && state !== undefined), 'You should avoid providing a 2nd state argument to replace when the 1st ' + 'argument is a location-like object that already has state; it is ignored') : void 0;\n var action = 'REPLACE';\n var location = createLocation(path, state, createKey(), history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n history.entries[history.index] = location;\n setState({\n action: action,\n location: location\n });\n });\n }\n\n function go(n) {\n var nextIndex = clamp(history.index + n, 0, history.entries.length - 1);\n var action = 'POP';\n var location = history.entries[nextIndex];\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (ok) {\n setState({\n action: action,\n location: location,\n index: nextIndex\n });\n } else {\n // Mimic the behavior of DOM histories by\n // causing a render after a cancelled POP.\n setState();\n }\n });\n }\n\n function goBack() {\n go(-1);\n }\n\n function goForward() {\n go(1);\n }\n\n function canGo(n) {\n var nextIndex = history.index + n;\n return nextIndex >= 0 && nextIndex < history.entries.length;\n }\n\n function block(prompt) {\n if (prompt === void 0) {\n prompt = false;\n }\n\n return transitionManager.setPrompt(prompt);\n }\n\n function listen(listener) {\n return transitionManager.appendListener(listener);\n }\n\n var history = {\n length: entries.length,\n action: 'POP',\n location: entries[index],\n index: index,\n entries: entries,\n createHref: createHref,\n push: push,\n replace: replace,\n go: go,\n goBack: goBack,\n goForward: goForward,\n canGo: canGo,\n block: block,\n listen: listen\n };\n return history;\n}\n\nexport { createBrowserHistory, createHashHistory, createMemoryHistory, createLocation, locationsAreEqual, parsePath, createPath };\n","var isProduction = process.env.NODE_ENV === 'production';\nvar prefix = 'Invariant failed';\nfunction invariant(condition, message) {\n if (condition) {\n return;\n }\n if (isProduction) {\n throw new Error(prefix);\n }\n throw new Error(prefix + \": \" + (message || ''));\n}\n\nexport default invariant;\n","// This will be replaced\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./Fisica.js\") );\n\t\t\t}, \"route-Fisica\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import {\n Breadcrumb,\n Event,\n EventHint,\n EventProcessor,\n Scope as ScopeInterface,\n Severity,\n Span,\n User,\n} from '@sentry/types';\nimport { getGlobalObject, isThenable, SyncPromise, timestampWithMs } from '@sentry/utils';\n\n/**\n * Holds additional event information. {@link Scope.applyToEvent} will be\n * called by the client before an event will be sent.\n */\nexport class Scope implements ScopeInterface {\n /** Flag if notifiying is happening. */\n protected _notifyingListeners: boolean = false;\n\n /** Callback for client to receive scope changes. */\n protected _scopeListeners: Array<(scope: Scope) => void> = [];\n\n /** Callback list that will be called after {@link applyToEvent}. */\n protected _eventProcessors: EventProcessor[] = [];\n\n /** Array of breadcrumbs. */\n protected _breadcrumbs: Breadcrumb[] = [];\n\n /** User */\n protected _user: User = {};\n\n /** Tags */\n protected _tags: { [key: string]: string } = {};\n\n /** Extra */\n protected _extra: { [key: string]: any } = {};\n\n /** Contexts */\n protected _context: { [key: string]: any } = {};\n\n /** Fingerprint */\n protected _fingerprint?: string[];\n\n /** Severity */\n protected _level?: Severity;\n\n /** Transaction */\n protected _transaction?: string;\n\n /** Span */\n protected _span?: Span;\n\n /**\n * Add internal on change listener. Used for sub SDKs that need to store the scope.\n * @hidden\n */\n public addScopeListener(callback: (scope: Scope) => void): void {\n this._scopeListeners.push(callback);\n }\n\n /**\n * @inheritDoc\n */\n public addEventProcessor(callback: EventProcessor): this {\n this._eventProcessors.push(callback);\n return this;\n }\n\n /**\n * This will be called on every set call.\n */\n protected _notifyScopeListeners(): void {\n if (!this._notifyingListeners) {\n this._notifyingListeners = true;\n setTimeout(() => {\n this._scopeListeners.forEach(callback => {\n callback(this);\n });\n this._notifyingListeners = false;\n });\n }\n }\n\n /**\n * This will be called after {@link applyToEvent} is finished.\n */\n protected _notifyEventProcessors(\n processors: EventProcessor[],\n event: Event | null,\n hint?: EventHint,\n index: number = 0,\n ): PromiseLike {\n return new SyncPromise((resolve, reject) => {\n const processor = processors[index];\n // tslint:disable-next-line:strict-type-predicates\n if (event === null || typeof processor !== 'function') {\n resolve(event);\n } else {\n const result = processor({ ...event }, hint) as Event | null;\n if (isThenable(result)) {\n (result as PromiseLike)\n .then(final => this._notifyEventProcessors(processors, final, hint, index + 1).then(resolve))\n .then(null, reject);\n } else {\n this._notifyEventProcessors(processors, result, hint, index + 1)\n .then(resolve)\n .then(null, reject);\n }\n }\n });\n }\n\n /**\n * @inheritDoc\n */\n public setUser(user: User | null): this {\n this._user = user || {};\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setTags(tags: { [key: string]: string }): this {\n this._tags = {\n ...this._tags,\n ...tags,\n };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setTag(key: string, value: string): this {\n this._tags = { ...this._tags, [key]: value };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setExtras(extras: { [key: string]: any }): this {\n this._extra = {\n ...this._extra,\n ...extras,\n };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setExtra(key: string, extra: any): this {\n this._extra = { ...this._extra, [key]: extra };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setFingerprint(fingerprint: string[]): this {\n this._fingerprint = fingerprint;\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setLevel(level: Severity): this {\n this._level = level;\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setTransaction(transaction?: string): this {\n this._transaction = transaction;\n if (this._span) {\n (this._span as any).transaction = transaction;\n }\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setContext(key: string, context: { [key: string]: any } | null): this {\n this._context = { ...this._context, [key]: context };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setSpan(span?: Span): this {\n this._span = span;\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * Internal getter for Span, used in Hub.\n * @hidden\n */\n public getSpan(): Span | undefined {\n return this._span;\n }\n\n /**\n * Inherit values from the parent scope.\n * @param scope to clone.\n */\n public static clone(scope?: Scope): Scope {\n const newScope = new Scope();\n if (scope) {\n newScope._breadcrumbs = [...scope._breadcrumbs];\n newScope._tags = { ...scope._tags };\n newScope._extra = { ...scope._extra };\n newScope._context = { ...scope._context };\n newScope._user = scope._user;\n newScope._level = scope._level;\n newScope._span = scope._span;\n newScope._transaction = scope._transaction;\n newScope._fingerprint = scope._fingerprint;\n newScope._eventProcessors = [...scope._eventProcessors];\n }\n return newScope;\n }\n\n /**\n * @inheritDoc\n */\n public clear(): this {\n this._breadcrumbs = [];\n this._tags = {};\n this._extra = {};\n this._user = {};\n this._context = {};\n this._level = undefined;\n this._transaction = undefined;\n this._fingerprint = undefined;\n this._span = undefined;\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public addBreadcrumb(breadcrumb: Breadcrumb, maxBreadcrumbs?: number): this {\n const mergedBreadcrumb = {\n timestamp: timestampWithMs(),\n ...breadcrumb,\n };\n\n this._breadcrumbs =\n maxBreadcrumbs !== undefined && maxBreadcrumbs >= 0\n ? [...this._breadcrumbs, mergedBreadcrumb].slice(-maxBreadcrumbs)\n : [...this._breadcrumbs, mergedBreadcrumb];\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public clearBreadcrumbs(): this {\n this._breadcrumbs = [];\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * Applies fingerprint from the scope to the event if there's one,\n * uses message if there's one instead or get rid of empty fingerprint\n */\n private _applyFingerprint(event: Event): void {\n // Make sure it's an array first and we actually have something in place\n event.fingerprint = event.fingerprint\n ? Array.isArray(event.fingerprint)\n ? event.fingerprint\n : [event.fingerprint]\n : [];\n\n // If we have something on the scope, then merge it with event\n if (this._fingerprint) {\n event.fingerprint = event.fingerprint.concat(this._fingerprint);\n }\n\n // If we have no data at all, remove empty array default\n if (event.fingerprint && !event.fingerprint.length) {\n delete event.fingerprint;\n }\n }\n\n /**\n * Applies the current context and fingerprint to the event.\n * Note that breadcrumbs will be added by the client.\n * Also if the event has already breadcrumbs on it, we do not merge them.\n * @param event Event\n * @param hint May contain additional informartion about the original exception.\n * @hidden\n */\n public applyToEvent(event: Event, hint?: EventHint): PromiseLike {\n if (this._extra && Object.keys(this._extra).length) {\n event.extra = { ...this._extra, ...event.extra };\n }\n if (this._tags && Object.keys(this._tags).length) {\n event.tags = { ...this._tags, ...event.tags };\n }\n if (this._user && Object.keys(this._user).length) {\n event.user = { ...this._user, ...event.user };\n }\n if (this._context && Object.keys(this._context).length) {\n event.contexts = { ...this._context, ...event.contexts };\n }\n if (this._level) {\n event.level = this._level;\n }\n if (this._transaction) {\n event.transaction = this._transaction;\n }\n if (this._span) {\n event.contexts = { trace: this._span.getTraceContext(), ...event.contexts };\n }\n\n this._applyFingerprint(event);\n\n event.breadcrumbs = [...(event.breadcrumbs || []), ...this._breadcrumbs];\n event.breadcrumbs = event.breadcrumbs.length > 0 ? event.breadcrumbs : undefined;\n\n return this._notifyEventProcessors([...getGlobalEventProcessors(), ...this._eventProcessors], event, hint);\n }\n}\n\n/**\n * Retruns the global event processors.\n */\nfunction getGlobalEventProcessors(): EventProcessor[] {\n const global = getGlobalObject();\n global.__SENTRY__ = global.__SENTRY__ || {};\n global.__SENTRY__.globalEventProcessors = global.__SENTRY__.globalEventProcessors || [];\n return global.__SENTRY__.globalEventProcessors;\n}\n\n/**\n * Add a EventProcessor to be kept globally.\n * @param callback EventProcessor to add\n */\nexport function addGlobalEventProcessor(callback: EventProcessor): void {\n getGlobalEventProcessors().push(callback);\n}\n","import {\n Breadcrumb,\n BreadcrumbHint,\n Client,\n Event,\n EventHint,\n Hub as HubInterface,\n Integration,\n IntegrationClass,\n Severity,\n Span,\n SpanContext,\n User,\n} from '@sentry/types';\nimport { consoleSandbox, getGlobalObject, isNodeEnv, logger, timestampWithMs, uuid4 } from '@sentry/utils';\n\nimport { Carrier, Layer } from './interfaces';\nimport { Scope } from './scope';\n\n/**\n * API compatibility version of this hub.\n *\n * WARNING: This number should only be incresed when the global interface\n * changes a and new methods are introduced.\n *\n * @hidden\n */\nexport const API_VERSION = 3;\n\n/**\n * Default maximum number of breadcrumbs added to an event. Can be overwritten\n * with {@link Options.maxBreadcrumbs}.\n */\nconst DEFAULT_BREADCRUMBS = 100;\n\n/**\n * Absolute maximum number of breadcrumbs added to an event. The\n * `maxBreadcrumbs` option cannot be higher than this value.\n */\nconst MAX_BREADCRUMBS = 100;\n\n/**\n * @inheritDoc\n */\nexport class Hub implements HubInterface {\n /** Is a {@link Layer}[] containing the client and scope */\n private readonly _stack: Layer[] = [];\n\n /** Contains the last event id of a captured event. */\n private _lastEventId?: string;\n\n /**\n * Creates a new instance of the hub, will push one {@link Layer} into the\n * internal stack on creation.\n *\n * @param client bound to the hub.\n * @param scope bound to the hub.\n * @param version number, higher number means higher priority.\n */\n public constructor(client?: Client, scope: Scope = new Scope(), private readonly _version: number = API_VERSION) {\n this._stack.push({ client, scope });\n }\n\n /**\n * Internal helper function to call a method on the top client if it exists.\n *\n * @param method The method to call on the client.\n * @param args Arguments to pass to the client function.\n */\n private _invokeClient(method: M, ...args: any[]): void {\n const top = this.getStackTop();\n if (top && top.client && top.client[method]) {\n (top.client as any)[method](...args, top.scope);\n }\n }\n\n /**\n * @inheritDoc\n */\n public isOlderThan(version: number): boolean {\n return this._version < version;\n }\n\n /**\n * @inheritDoc\n */\n public bindClient(client?: Client): void {\n const top = this.getStackTop();\n top.client = client;\n if (client && client.setupIntegrations) {\n client.setupIntegrations();\n }\n }\n\n /**\n * @inheritDoc\n */\n public pushScope(): Scope {\n // We want to clone the content of prev scope\n const stack = this.getStack();\n const parentScope = stack.length > 0 ? stack[stack.length - 1].scope : undefined;\n const scope = Scope.clone(parentScope);\n this.getStack().push({\n client: this.getClient(),\n scope,\n });\n return scope;\n }\n\n /**\n * @inheritDoc\n */\n public popScope(): boolean {\n return this.getStack().pop() !== undefined;\n }\n\n /**\n * @inheritDoc\n */\n public withScope(callback: (scope: Scope) => void): void {\n const scope = this.pushScope();\n try {\n callback(scope);\n } finally {\n this.popScope();\n }\n }\n\n /**\n * @inheritDoc\n */\n public getClient(): C | undefined {\n return this.getStackTop().client as C;\n }\n\n /** Returns the scope of the top stack. */\n public getScope(): Scope | undefined {\n return this.getStackTop().scope;\n }\n\n /** Returns the scope stack for domains or the process. */\n public getStack(): Layer[] {\n return this._stack;\n }\n\n /** Returns the topmost scope layer in the order domain > local > process. */\n public getStackTop(): Layer {\n return this._stack[this._stack.length - 1];\n }\n\n /**\n * @inheritDoc\n */\n public captureException(exception: any, hint?: EventHint): string {\n const eventId = (this._lastEventId = uuid4());\n let finalHint = hint;\n\n // If there's no explicit hint provided, mimick the same thing that would happen\n // in the minimal itself to create a consistent behavior.\n // We don't do this in the client, as it's the lowest level API, and doing this,\n // would prevent user from having full control over direct calls.\n if (!hint) {\n let syntheticException: Error;\n try {\n throw new Error('Sentry syntheticException');\n } catch (exception) {\n syntheticException = exception as Error;\n }\n finalHint = {\n originalException: exception,\n syntheticException,\n };\n }\n\n this._invokeClient('captureException', exception, {\n ...finalHint,\n event_id: eventId,\n });\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public captureMessage(message: string, level?: Severity, hint?: EventHint): string {\n const eventId = (this._lastEventId = uuid4());\n let finalHint = hint;\n\n // If there's no explicit hint provided, mimick the same thing that would happen\n // in the minimal itself to create a consistent behavior.\n // We don't do this in the client, as it's the lowest level API, and doing this,\n // would prevent user from having full control over direct calls.\n if (!hint) {\n let syntheticException: Error;\n try {\n throw new Error(message);\n } catch (exception) {\n syntheticException = exception as Error;\n }\n finalHint = {\n originalException: message,\n syntheticException,\n };\n }\n\n this._invokeClient('captureMessage', message, level, {\n ...finalHint,\n event_id: eventId,\n });\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public captureEvent(event: Event, hint?: EventHint): string {\n const eventId = (this._lastEventId = uuid4());\n this._invokeClient('captureEvent', event, {\n ...hint,\n event_id: eventId,\n });\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public lastEventId(): string | undefined {\n return this._lastEventId;\n }\n\n /**\n * @inheritDoc\n */\n public addBreadcrumb(breadcrumb: Breadcrumb, hint?: BreadcrumbHint): void {\n const top = this.getStackTop();\n\n if (!top.scope || !top.client) {\n return;\n }\n\n const { beforeBreadcrumb = null, maxBreadcrumbs = DEFAULT_BREADCRUMBS } =\n (top.client.getOptions && top.client.getOptions()) || {};\n\n if (maxBreadcrumbs <= 0) {\n return;\n }\n\n const timestamp = timestampWithMs();\n const mergedBreadcrumb = { timestamp, ...breadcrumb };\n const finalBreadcrumb = beforeBreadcrumb\n ? (consoleSandbox(() => beforeBreadcrumb(mergedBreadcrumb, hint)) as Breadcrumb | null)\n : mergedBreadcrumb;\n\n if (finalBreadcrumb === null) {\n return;\n }\n\n top.scope.addBreadcrumb(finalBreadcrumb, Math.min(maxBreadcrumbs, MAX_BREADCRUMBS));\n }\n\n /**\n * @inheritDoc\n */\n public setUser(user: User | null): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setUser(user);\n }\n\n /**\n * @inheritDoc\n */\n public setTags(tags: { [key: string]: string }): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setTags(tags);\n }\n\n /**\n * @inheritDoc\n */\n public setExtras(extras: { [key: string]: any }): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setExtras(extras);\n }\n\n /**\n * @inheritDoc\n */\n public setTag(key: string, value: string): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setTag(key, value);\n }\n\n /**\n * @inheritDoc\n */\n public setExtra(key: string, extra: any): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setExtra(key, extra);\n }\n\n /**\n * @inheritDoc\n */\n public setContext(name: string, context: { [key: string]: any } | null): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setContext(name, context);\n }\n\n /**\n * @inheritDoc\n */\n public configureScope(callback: (scope: Scope) => void): void {\n const top = this.getStackTop();\n if (top.scope && top.client) {\n callback(top.scope);\n }\n }\n\n /**\n * @inheritDoc\n */\n public run(callback: (hub: Hub) => void): void {\n const oldHub = makeMain(this);\n try {\n callback(this);\n } finally {\n makeMain(oldHub);\n }\n }\n\n /**\n * @inheritDoc\n */\n public getIntegration(integration: IntegrationClass): T | null {\n const client = this.getClient();\n if (!client) {\n return null;\n }\n try {\n return client.getIntegration(integration);\n } catch (_oO) {\n logger.warn(`Cannot retrieve integration ${integration.id} from the current Hub`);\n return null;\n }\n }\n\n /**\n * @inheritDoc\n */\n public startSpan(spanOrSpanContext?: Span | SpanContext, forceNoChild: boolean = false): Span {\n return this._callExtensionMethod('startSpan', spanOrSpanContext, forceNoChild);\n }\n\n /**\n * @inheritDoc\n */\n public traceHeaders(): { [key: string]: string } {\n return this._callExtensionMethod<{ [key: string]: string }>('traceHeaders');\n }\n\n /**\n * Calls global extension method and binding current instance to the function call\n */\n // @ts-ignore\n private _callExtensionMethod(method: string, ...args: any[]): T {\n const carrier = getMainCarrier();\n const sentry = carrier.__SENTRY__;\n // tslint:disable-next-line: strict-type-predicates\n if (sentry && sentry.extensions && typeof sentry.extensions[method] === 'function') {\n return sentry.extensions[method].apply(this, args);\n }\n logger.warn(`Extension method ${method} couldn't be found, doing nothing.`);\n }\n}\n\n/** Returns the global shim registry. */\nexport function getMainCarrier(): Carrier {\n const carrier = getGlobalObject();\n carrier.__SENTRY__ = carrier.__SENTRY__ || {\n extensions: {},\n hub: undefined,\n };\n return carrier;\n}\n\n/**\n * Replaces the current main hub with the passed one on the global object\n *\n * @returns The old replaced hub\n */\nexport function makeMain(hub: Hub): Hub {\n const registry = getMainCarrier();\n const oldHub = getHubFromCarrier(registry);\n setHubOnCarrier(registry, hub);\n return oldHub;\n}\n\n/**\n * Returns the default hub instance.\n *\n * If a hub is already registered in the global carrier but this module\n * contains a more recent version, it replaces the registered version.\n * Otherwise, the currently registered hub will be returned.\n */\nexport function getCurrentHub(): Hub {\n // Get main carrier (global for every environment)\n const registry = getMainCarrier();\n\n // If there's no hub, or its an old API, assign a new one\n if (!hasHubOnCarrier(registry) || getHubFromCarrier(registry).isOlderThan(API_VERSION)) {\n setHubOnCarrier(registry, new Hub());\n }\n\n // Prefer domains over global if they are there (applicable only to Node environment)\n if (isNodeEnv()) {\n return getHubFromActiveDomain(registry);\n }\n // Return hub that lives on a global object\n return getHubFromCarrier(registry);\n}\n\n/**\n * Try to read the hub from an active domain, fallback to the registry if one doesnt exist\n * @returns discovered hub\n */\nfunction getHubFromActiveDomain(registry: Carrier): Hub {\n try {\n const property = 'domain';\n const carrier = getMainCarrier();\n const sentry = carrier.__SENTRY__;\n // tslint:disable-next-line: strict-type-predicates\n if (!sentry || !sentry.extensions || !sentry.extensions[property]) {\n return getHubFromCarrier(registry);\n }\n const domain = sentry.extensions[property] as any;\n const activeDomain = domain.active;\n\n // If there no active domain, just return global hub\n if (!activeDomain) {\n return getHubFromCarrier(registry);\n }\n\n // If there's no hub on current domain, or its an old API, assign a new one\n if (!hasHubOnCarrier(activeDomain) || getHubFromCarrier(activeDomain).isOlderThan(API_VERSION)) {\n const registryHubTopStack = getHubFromCarrier(registry).getStackTop();\n setHubOnCarrier(activeDomain, new Hub(registryHubTopStack.client, Scope.clone(registryHubTopStack.scope)));\n }\n\n // Return hub that lives on a domain\n return getHubFromCarrier(activeDomain);\n } catch (_Oo) {\n // Return hub that lives on a global object\n return getHubFromCarrier(registry);\n }\n}\n\n/**\n * This will tell whether a carrier has a hub on it or not\n * @param carrier object\n */\nfunction hasHubOnCarrier(carrier: Carrier): boolean {\n if (carrier && carrier.__SENTRY__ && carrier.__SENTRY__.hub) {\n return true;\n }\n return false;\n}\n\n/**\n * This will create a new {@link Hub} and add to the passed object on\n * __SENTRY__.hub.\n * @param carrier object\n * @hidden\n */\nexport function getHubFromCarrier(carrier: Carrier): Hub {\n if (carrier && carrier.__SENTRY__ && carrier.__SENTRY__.hub) {\n return carrier.__SENTRY__.hub;\n }\n carrier.__SENTRY__ = carrier.__SENTRY__ || {};\n carrier.__SENTRY__.hub = new Hub();\n return carrier.__SENTRY__.hub;\n}\n\n/**\n * This will set passed {@link Hub} on the passed object's __SENTRY__.hub attribute\n * @param carrier object\n * @param hub Hub\n */\nexport function setHubOnCarrier(carrier: Carrier, hub: Hub): boolean {\n if (!carrier) {\n return false;\n }\n carrier.__SENTRY__ = carrier.__SENTRY__ || {};\n carrier.__SENTRY__.hub = hub;\n return true;\n}\n","export * from './exports';\n\nimport { Integrations as CoreIntegrations } from '@sentry/core';\nimport { getGlobalObject } from '@sentry/utils';\n\nimport * as BrowserIntegrations from './integrations';\nimport * as Transports from './transports';\n\nlet windowIntegrations = {};\n\n// This block is needed to add compatibility with the integrations packages when used with a CDN\n// tslint:disable: no-unsafe-any\nconst _window = getGlobalObject();\nif (_window.Sentry && _window.Sentry.Integrations) {\n windowIntegrations = _window.Sentry.Integrations;\n}\n// tslint:enable: no-unsafe-any\n\nconst INTEGRATIONS = {\n ...windowIntegrations,\n ...CoreIntegrations,\n ...BrowserIntegrations,\n};\n\nexport { INTEGRATIONS as Integrations, Transports };\n","import { addGlobalEventProcessor, getCurrentHub } from '@sentry/hub';\nimport { Integration, Options } from '@sentry/types';\nimport { logger } from '@sentry/utils';\n\nexport const installedIntegrations: string[] = [];\n\n/** Map of integrations assigned to a client */\nexport interface IntegrationIndex {\n [key: string]: Integration;\n}\n\n/** Gets integration to install */\nexport function getIntegrationsToSetup(options: Options): Integration[] {\n const defaultIntegrations = (options.defaultIntegrations && [...options.defaultIntegrations]) || [];\n const userIntegrations = options.integrations;\n let integrations: Integration[] = [];\n if (Array.isArray(userIntegrations)) {\n const userIntegrationsNames = userIntegrations.map(i => i.name);\n const pickedIntegrationsNames: string[] = [];\n\n // Leave only unique default integrations, that were not overridden with provided user integrations\n defaultIntegrations.forEach(defaultIntegration => {\n if (\n userIntegrationsNames.indexOf(defaultIntegration.name) === -1 &&\n pickedIntegrationsNames.indexOf(defaultIntegration.name) === -1\n ) {\n integrations.push(defaultIntegration);\n pickedIntegrationsNames.push(defaultIntegration.name);\n }\n });\n\n // Don't add same user integration twice\n userIntegrations.forEach(userIntegration => {\n if (pickedIntegrationsNames.indexOf(userIntegration.name) === -1) {\n integrations.push(userIntegration);\n pickedIntegrationsNames.push(userIntegration.name);\n }\n });\n } else if (typeof userIntegrations === 'function') {\n integrations = userIntegrations(defaultIntegrations);\n integrations = Array.isArray(integrations) ? integrations : [integrations];\n } else {\n integrations = [...defaultIntegrations];\n }\n\n // Make sure that if present, `Debug` integration will always run last\n const integrationsNames = integrations.map(i => i.name);\n const alwaysLastToRun = 'Debug';\n if (integrationsNames.indexOf(alwaysLastToRun) !== -1) {\n integrations.push(...integrations.splice(integrationsNames.indexOf(alwaysLastToRun), 1));\n }\n\n return integrations;\n}\n\n/** Setup given integration */\nexport function setupIntegration(integration: Integration): void {\n if (installedIntegrations.indexOf(integration.name) !== -1) {\n return;\n }\n integration.setupOnce(addGlobalEventProcessor, getCurrentHub);\n installedIntegrations.push(integration.name);\n logger.log(`Integration installed: ${integration.name}`);\n}\n\n/**\n * Given a list of integration instances this installs them all. When `withDefaults` is set to `true` then all default\n * integrations are added unless they were already provided before.\n * @param integrations array of integration instances\n * @param withDefault should enable default integrations\n */\nexport function setupIntegrations(options: O): IntegrationIndex {\n const integrations: IntegrationIndex = {};\n getIntegrationsToSetup(options).forEach(integration => {\n integrations[integration.name] = integration;\n setupIntegration(integration);\n });\n return integrations;\n}\n","// tslint:disable:object-literal-sort-keys\n\n/**\n * This was originally forked from https://github.com/occ/TraceKit, but has since been\n * largely modified and is now maintained as part of Sentry JS SDK.\n */\n\n/**\n * An object representing a single stack frame.\n * {Object} StackFrame\n * {string} url The JavaScript or HTML file URL.\n * {string} func The function name, or empty for anonymous functions (if guessing did not work).\n * {string[]?} args The arguments passed to the function, if known.\n * {number=} line The line number, if known.\n * {number=} column The column number, if known.\n * {string[]} context An array of source code lines; the middle element corresponds to the correct line#.\n */\nexport interface StackFrame {\n url: string;\n func: string;\n args: string[];\n line: number | null;\n column: number | null;\n}\n\n/**\n * An object representing a JavaScript stack trace.\n * {Object} StackTrace\n * {string} name The name of the thrown exception.\n * {string} message The exception error message.\n * {TraceKit.StackFrame[]} stack An array of stack frames.\n */\nexport interface StackTrace {\n name: string;\n message: string;\n mechanism?: string;\n stack: StackFrame[];\n failed?: boolean;\n}\n\n// global reference to slice\nconst UNKNOWN_FUNCTION = '?';\n\n// Chromium based browsers: Chrome, Brave, new Opera, new Edge\nconst chrome = /^\\s*at (?:(.*?) ?\\()?((?:file|https?|blob|chrome-extension|address|native|eval|webpack||[-a-z]+:|.*bundle|\\/).*?)(?::(\\d+))?(?::(\\d+))?\\)?\\s*$/i;\n// gecko regex: `(?:bundle|\\d+\\.js)`: `bundle` is for react native, `\\d+\\.js` also but specifically for ram bundles because it\n// generates filenames without a prefix like `file://` the filenames in the stacktrace are just 42.js\n// We need this specific case for now because we want no other regex to match.\nconst gecko = /^\\s*(.*?)(?:\\((.*?)\\))?(?:^|@)?((?:file|https?|blob|chrome|webpack|resource|moz-extension).*?:\\/.*?|\\[native code\\]|[^@]*(?:bundle|\\d+\\.js))(?::(\\d+))?(?::(\\d+))?\\s*$/i;\nconst winjs = /^\\s*at (?:((?:\\[object object\\])?.+) )?\\(?((?:file|ms-appx|https?|webpack|blob):.*?):(\\d+)(?::(\\d+))?\\)?\\s*$/i;\nconst geckoEval = /(\\S+) line (\\d+)(?: > eval line \\d+)* > eval/i;\nconst chromeEval = /\\((\\S*)(?::(\\d+))(?::(\\d+))\\)/;\n\n/** JSDoc */\nexport function computeStackTrace(ex: any): StackTrace {\n // tslint:disable:no-unsafe-any\n\n let stack = null;\n const popSize: number = ex && ex.framesToPop;\n\n try {\n // This must be tried first because Opera 10 *destroys*\n // its stacktrace property if you try to access the stack\n // property first!!\n stack = computeStackTraceFromStacktraceProp(ex);\n if (stack) {\n return popFrames(stack, popSize);\n }\n } catch (e) {\n // no-empty\n }\n\n try {\n stack = computeStackTraceFromStackProp(ex);\n if (stack) {\n return popFrames(stack, popSize);\n }\n } catch (e) {\n // no-empty\n }\n\n return {\n message: extractMessage(ex),\n name: ex && ex.name,\n stack: [],\n failed: true,\n };\n}\n\n/** JSDoc */\n// tslint:disable-next-line:cyclomatic-complexity\nfunction computeStackTraceFromStackProp(ex: any): StackTrace | null {\n // tslint:disable:no-conditional-assignment\n if (!ex || !ex.stack) {\n return null;\n }\n\n const stack = [];\n const lines = ex.stack.split('\\n');\n let isEval;\n let submatch;\n let parts;\n let element;\n\n for (let i = 0; i < lines.length; ++i) {\n if ((parts = chrome.exec(lines[i]))) {\n const isNative = parts[2] && parts[2].indexOf('native') === 0; // start of line\n isEval = parts[2] && parts[2].indexOf('eval') === 0; // start of line\n if (isEval && (submatch = chromeEval.exec(parts[2]))) {\n // throw out eval line/column and use top-most line/column number\n parts[2] = submatch[1]; // url\n parts[3] = submatch[2]; // line\n parts[4] = submatch[3]; // column\n }\n element = {\n // working with the regexp above is super painful. it is quite a hack, but just stripping the `address at `\n // prefix here seems like the quickest solution for now.\n url: parts[2] && parts[2].indexOf('address at ') === 0 ? parts[2].substr('address at '.length) : parts[2],\n func: parts[1] || UNKNOWN_FUNCTION,\n args: isNative ? [parts[2]] : [],\n line: parts[3] ? +parts[3] : null,\n column: parts[4] ? +parts[4] : null,\n };\n } else if ((parts = winjs.exec(lines[i]))) {\n element = {\n url: parts[2],\n func: parts[1] || UNKNOWN_FUNCTION,\n args: [],\n line: +parts[3],\n column: parts[4] ? +parts[4] : null,\n };\n } else if ((parts = gecko.exec(lines[i]))) {\n isEval = parts[3] && parts[3].indexOf(' > eval') > -1;\n if (isEval && (submatch = geckoEval.exec(parts[3]))) {\n // throw out eval line/column and use top-most line number\n parts[1] = parts[1] || `eval`;\n parts[3] = submatch[1];\n parts[4] = submatch[2];\n parts[5] = ''; // no column when eval\n } else if (i === 0 && !parts[5] && ex.columnNumber !== void 0) {\n // FireFox uses this awesome columnNumber property for its top frame\n // Also note, Firefox's column number is 0-based and everything else expects 1-based,\n // so adding 1\n // NOTE: this hack doesn't work if top-most frame is eval\n stack[0].column = (ex.columnNumber as number) + 1;\n }\n element = {\n url: parts[3],\n func: parts[1] || UNKNOWN_FUNCTION,\n args: parts[2] ? parts[2].split(',') : [],\n line: parts[4] ? +parts[4] : null,\n column: parts[5] ? +parts[5] : null,\n };\n } else {\n continue;\n }\n\n if (!element.func && element.line) {\n element.func = UNKNOWN_FUNCTION;\n }\n\n stack.push(element);\n }\n\n if (!stack.length) {\n return null;\n }\n\n return {\n message: extractMessage(ex),\n name: ex.name,\n stack,\n };\n}\n\n/** JSDoc */\nfunction computeStackTraceFromStacktraceProp(ex: any): StackTrace | null {\n if (!ex || !ex.stacktrace) {\n return null;\n }\n // Access and store the stacktrace property before doing ANYTHING\n // else to it because Opera is not very good at providing it\n // reliably in other circumstances.\n const stacktrace = ex.stacktrace;\n const opera10Regex = / line (\\d+).*script (?:in )?(\\S+)(?:: in function (\\S+))?$/i;\n const opera11Regex = / line (\\d+), column (\\d+)\\s*(?:in (?:]+)>|([^\\)]+))\\((.*)\\))? in (.*):\\s*$/i;\n const lines = stacktrace.split('\\n');\n const stack = [];\n let parts;\n\n for (let line = 0; line < lines.length; line += 2) {\n // tslint:disable:no-conditional-assignment\n let element = null;\n if ((parts = opera10Regex.exec(lines[line]))) {\n element = {\n url: parts[2],\n func: parts[3],\n args: [],\n line: +parts[1],\n column: null,\n };\n } else if ((parts = opera11Regex.exec(lines[line]))) {\n element = {\n url: parts[6],\n func: parts[3] || parts[4],\n args: parts[5] ? parts[5].split(',') : [],\n line: +parts[1],\n column: +parts[2],\n };\n }\n\n if (element) {\n if (!element.func && element.line) {\n element.func = UNKNOWN_FUNCTION;\n }\n stack.push(element);\n }\n }\n\n if (!stack.length) {\n return null;\n }\n\n return {\n message: extractMessage(ex),\n name: ex.name,\n stack,\n };\n}\n\n/** Remove N number of frames from the stack */\nfunction popFrames(stacktrace: StackTrace, popSize: number): StackTrace {\n try {\n return {\n ...stacktrace,\n stack: stacktrace.stack.slice(popSize),\n };\n } catch (e) {\n return stacktrace;\n }\n}\n\n/**\n * There are cases where stacktrace.message is an Event object\n * https://github.com/getsentry/sentry-javascript/issues/1949\n * In this specific case we try to extract stacktrace.message.error.message\n */\nfunction extractMessage(ex: any): string {\n const message = ex && ex.message;\n if (!message) {\n return 'No error message';\n }\n if (message.error && typeof message.error.message === 'string') {\n return message.error.message;\n }\n return message;\n}\n","import { Event, Exception, StackFrame } from '@sentry/types';\nimport { extractExceptionKeysForMessage, isEvent, normalizeToSize } from '@sentry/utils';\n\nimport { computeStackTrace, StackFrame as TraceKitStackFrame, StackTrace as TraceKitStackTrace } from './tracekit';\n\nconst STACKTRACE_LIMIT = 50;\n\n/**\n * This function creates an exception from an TraceKitStackTrace\n * @param stacktrace TraceKitStackTrace that will be converted to an exception\n * @hidden\n */\nexport function exceptionFromStacktrace(stacktrace: TraceKitStackTrace): Exception {\n const frames = prepareFramesForEvent(stacktrace.stack);\n\n const exception: Exception = {\n type: stacktrace.name,\n value: stacktrace.message,\n };\n\n if (frames && frames.length) {\n exception.stacktrace = { frames };\n }\n\n // tslint:disable-next-line:strict-type-predicates\n if (exception.type === undefined && exception.value === '') {\n exception.value = 'Unrecoverable error caught';\n }\n\n return exception;\n}\n\n/**\n * @hidden\n */\nexport function eventFromPlainObject(exception: {}, syntheticException?: Error, rejection?: boolean): Event {\n const event: Event = {\n exception: {\n values: [\n {\n type: isEvent(exception) ? exception.constructor.name : rejection ? 'UnhandledRejection' : 'Error',\n value: `Non-Error ${\n rejection ? 'promise rejection' : 'exception'\n } captured with keys: ${extractExceptionKeysForMessage(exception)}`,\n },\n ],\n },\n extra: {\n __serialized__: normalizeToSize(exception),\n },\n };\n\n if (syntheticException) {\n const stacktrace = computeStackTrace(syntheticException);\n const frames = prepareFramesForEvent(stacktrace.stack);\n event.stacktrace = {\n frames,\n };\n }\n\n return event;\n}\n\n/**\n * @hidden\n */\nexport function eventFromStacktrace(stacktrace: TraceKitStackTrace): Event {\n const exception = exceptionFromStacktrace(stacktrace);\n\n return {\n exception: {\n values: [exception],\n },\n };\n}\n\n/**\n * @hidden\n */\nexport function prepareFramesForEvent(stack: TraceKitStackFrame[]): StackFrame[] {\n if (!stack || !stack.length) {\n return [];\n }\n\n let localStack = stack;\n\n const firstFrameFunction = localStack[0].func || '';\n const lastFrameFunction = localStack[localStack.length - 1].func || '';\n\n // If stack starts with one of our API calls, remove it (starts, meaning it's the top of the stack - aka last call)\n if (firstFrameFunction.indexOf('captureMessage') !== -1 || firstFrameFunction.indexOf('captureException') !== -1) {\n localStack = localStack.slice(1);\n }\n\n // If stack ends with one of our internal API calls, remove it (ends, meaning it's the bottom of the stack - aka top-most call)\n if (lastFrameFunction.indexOf('sentryWrapped') !== -1) {\n localStack = localStack.slice(0, -1);\n }\n\n // The frame where the crash happened, should be the last entry in the array\n return localStack\n .map(\n (frame: TraceKitStackFrame): StackFrame => ({\n colno: frame.column === null ? undefined : frame.column,\n filename: frame.url || localStack[0].url,\n function: frame.func || '?',\n in_app: true,\n lineno: frame.line === null ? undefined : frame.line,\n }),\n )\n .slice(0, STACKTRACE_LIMIT)\n .reverse();\n}\n","import { Event } from '@sentry/types';\nimport {\n addExceptionMechanism,\n addExceptionTypeValue,\n isDOMError,\n isDOMException,\n isError,\n isErrorEvent,\n isEvent,\n isPlainObject,\n} from '@sentry/utils';\n\nimport { eventFromPlainObject, eventFromStacktrace, prepareFramesForEvent } from './parsers';\nimport { computeStackTrace } from './tracekit';\n\n/** JSDoc */\nexport function eventFromUnknownInput(\n exception: unknown,\n syntheticException?: Error,\n options: {\n rejection?: boolean;\n attachStacktrace?: boolean;\n } = {},\n): Event {\n let event: Event;\n\n if (isErrorEvent(exception as ErrorEvent) && (exception as ErrorEvent).error) {\n // If it is an ErrorEvent with `error` property, extract it to get actual Error\n const errorEvent = exception as ErrorEvent;\n exception = errorEvent.error; // tslint:disable-line:no-parameter-reassignment\n event = eventFromStacktrace(computeStackTrace(exception as Error));\n return event;\n }\n if (isDOMError(exception as DOMError) || isDOMException(exception as DOMException)) {\n // If it is a DOMError or DOMException (which are legacy APIs, but still supported in some browsers)\n // then we just extract the name and message, as they don't provide anything else\n // https://developer.mozilla.org/en-US/docs/Web/API/DOMError\n // https://developer.mozilla.org/en-US/docs/Web/API/DOMException\n const domException = exception as DOMException;\n const name = domException.name || (isDOMError(domException) ? 'DOMError' : 'DOMException');\n const message = domException.message ? `${name}: ${domException.message}` : name;\n\n event = eventFromString(message, syntheticException, options);\n addExceptionTypeValue(event, message);\n return event;\n }\n if (isError(exception as Error)) {\n // we have a real Error object, do nothing\n event = eventFromStacktrace(computeStackTrace(exception as Error));\n return event;\n }\n if (isPlainObject(exception) || isEvent(exception)) {\n // If it is plain Object or Event, serialize it manually and extract options\n // This will allow us to group events based on top-level keys\n // which is much better than creating new group when any key/value change\n const objectException = exception as {};\n event = eventFromPlainObject(objectException, syntheticException, options.rejection);\n addExceptionMechanism(event, {\n synthetic: true,\n });\n return event;\n }\n\n // If none of previous checks were valid, then it means that it's not:\n // - an instance of DOMError\n // - an instance of DOMException\n // - an instance of Event\n // - an instance of Error\n // - a valid ErrorEvent (one with an error property)\n // - a plain Object\n //\n // So bail out and capture it as a simple message:\n event = eventFromString(exception as string, syntheticException, options);\n addExceptionTypeValue(event, `${exception}`, undefined);\n addExceptionMechanism(event, {\n synthetic: true,\n });\n\n return event;\n}\n\n// this._options.attachStacktrace\n/** JSDoc */\nexport function eventFromString(\n input: string,\n syntheticException?: Error,\n options: {\n attachStacktrace?: boolean;\n } = {},\n): Event {\n const event: Event = {\n message: input,\n };\n\n if (options.attachStacktrace && syntheticException) {\n const stacktrace = computeStackTrace(syntheticException);\n const frames = prepareFramesForEvent(stacktrace.stack);\n event.stacktrace = {\n frames,\n };\n }\n\n return event;\n}\n","import { captureException, withScope } from '@sentry/core';\nimport { Event as SentryEvent, Mechanism, Scope, WrappedFunction } from '@sentry/types';\nimport { addExceptionMechanism, addExceptionTypeValue } from '@sentry/utils';\n\nlet ignoreOnError: number = 0;\n\n/**\n * @hidden\n */\nexport function shouldIgnoreOnError(): boolean {\n return ignoreOnError > 0;\n}\n\n/**\n * @hidden\n */\nexport function ignoreNextOnError(): void {\n // onerror should trigger before setTimeout\n ignoreOnError += 1;\n setTimeout(() => {\n ignoreOnError -= 1;\n });\n}\n\n/**\n * Instruments the given function and sends an event to Sentry every time the\n * function throws an exception.\n *\n * @param fn A function to wrap.\n * @returns The wrapped function.\n * @hidden\n */\nexport function wrap(\n fn: WrappedFunction,\n options: {\n mechanism?: Mechanism;\n } = {},\n before?: WrappedFunction,\n): any {\n // tslint:disable-next-line:strict-type-predicates\n if (typeof fn !== 'function') {\n return fn;\n }\n\n try {\n // We don't wanna wrap it twice\n if (fn.__sentry__) {\n return fn;\n }\n\n // If this has already been wrapped in the past, return that wrapped function\n if (fn.__sentry_wrapped__) {\n return fn.__sentry_wrapped__;\n }\n } catch (e) {\n // Just accessing custom props in some Selenium environments\n // can cause a \"Permission denied\" exception (see raven-js#495).\n // Bail on wrapping and return the function as-is (defers to window.onerror).\n return fn;\n }\n\n const sentryWrapped: WrappedFunction = function(this: any): void {\n const args = Array.prototype.slice.call(arguments);\n\n // tslint:disable:no-unsafe-any\n try {\n // tslint:disable-next-line:strict-type-predicates\n if (before && typeof before === 'function') {\n before.apply(this, arguments);\n }\n\n const wrappedArguments = args.map((arg: any) => wrap(arg, options));\n\n if (fn.handleEvent) {\n // Attempt to invoke user-land function\n // NOTE: If you are a Sentry user, and you are seeing this stack frame, it\n // means the sentry.javascript SDK caught an error invoking your application code. This\n // is expected behavior and NOT indicative of a bug with sentry.javascript.\n return fn.handleEvent.apply(this, wrappedArguments);\n }\n // Attempt to invoke user-land function\n // NOTE: If you are a Sentry user, and you are seeing this stack frame, it\n // means the sentry.javascript SDK caught an error invoking your application code. This\n // is expected behavior and NOT indicative of a bug with sentry.javascript.\n return fn.apply(this, wrappedArguments);\n // tslint:enable:no-unsafe-any\n } catch (ex) {\n ignoreNextOnError();\n\n withScope((scope: Scope) => {\n scope.addEventProcessor((event: SentryEvent) => {\n const processedEvent = { ...event };\n\n if (options.mechanism) {\n addExceptionTypeValue(processedEvent, undefined, undefined);\n addExceptionMechanism(processedEvent, options.mechanism);\n }\n\n processedEvent.extra = {\n ...processedEvent.extra,\n arguments: args,\n };\n\n return processedEvent;\n });\n\n captureException(ex);\n });\n\n throw ex;\n }\n };\n\n // Accessing some objects may throw\n // ref: https://github.com/getsentry/sentry-javascript/issues/1168\n try {\n for (const property in fn) {\n if (Object.prototype.hasOwnProperty.call(fn, property)) {\n sentryWrapped[property] = fn[property];\n }\n }\n } catch (_oO) {} // tslint:disable-line:no-empty\n\n fn.prototype = fn.prototype || {};\n sentryWrapped.prototype = fn.prototype;\n\n Object.defineProperty(fn, '__sentry_wrapped__', {\n enumerable: false,\n value: sentryWrapped,\n });\n\n // Signal that this function has been wrapped/filled already\n // for both debugging and to prevent it to being wrapped/filled twice\n Object.defineProperties(sentryWrapped, {\n __sentry__: {\n enumerable: false,\n value: true,\n },\n __sentry_original__: {\n enumerable: false,\n value: fn,\n },\n });\n\n // Restore original function name (not all browsers allow that)\n try {\n const descriptor = Object.getOwnPropertyDescriptor(sentryWrapped, 'name') as PropertyDescriptor;\n if (descriptor.configurable) {\n Object.defineProperty(sentryWrapped, 'name', {\n get(): string {\n return fn.name;\n },\n });\n }\n } catch (_oO) {\n /*no-empty*/\n }\n\n return sentryWrapped;\n}\n","/* tslint:disable:only-arrow-functions no-unsafe-any */\n\nimport { WrappedFunction } from '@sentry/types';\n\nimport { isInstanceOf, isString } from './is';\nimport { logger } from './logger';\nimport { getFunctionName, getGlobalObject } from './misc';\nimport { fill } from './object';\nimport { supportsHistory, supportsNativeFetch } from './supports';\n\nconst global = getGlobalObject();\n\n/** Object describing handler that will be triggered for a given `type` of instrumentation */\ninterface InstrumentHandler {\n type: InstrumentHandlerType;\n callback: InstrumentHandlerCallback;\n}\ntype InstrumentHandlerType =\n | 'console'\n | 'dom'\n | 'fetch'\n | 'history'\n | 'sentry'\n | 'xhr'\n | 'error'\n | 'unhandledrejection';\ntype InstrumentHandlerCallback = (data: any) => void;\n\n/**\n * Instrument native APIs to call handlers that can be used to create breadcrumbs, APM spans etc.\n * - Console API\n * - Fetch API\n * - XHR API\n * - History API\n * - DOM API (click/typing)\n * - Error API\n * - UnhandledRejection API\n */\n\nconst handlers: { [key in InstrumentHandlerType]?: InstrumentHandlerCallback[] } = {};\nconst instrumented: { [key in InstrumentHandlerType]?: boolean } = {};\n\n/** Instruments given API */\nfunction instrument(type: InstrumentHandlerType): void {\n if (instrumented[type]) {\n return;\n }\n\n instrumented[type] = true;\n\n switch (type) {\n case 'console':\n instrumentConsole();\n break;\n case 'dom':\n instrumentDOM();\n break;\n case 'xhr':\n instrumentXHR();\n break;\n case 'fetch':\n instrumentFetch();\n break;\n case 'history':\n instrumentHistory();\n break;\n case 'error':\n instrumentError();\n break;\n case 'unhandledrejection':\n instrumentUnhandledRejection();\n break;\n default:\n logger.warn('unknown instrumentation type:', type);\n }\n}\n\n/**\n * Add handler that will be called when given type of instrumentation triggers.\n * Use at your own risk, this might break without changelog notice, only used internally.\n * @hidden\n */\nexport function addInstrumentationHandler(handler: InstrumentHandler): void {\n // tslint:disable-next-line:strict-type-predicates\n if (!handler || typeof handler.type !== 'string' || typeof handler.callback !== 'function') {\n return;\n }\n handlers[handler.type] = handlers[handler.type] || [];\n (handlers[handler.type] as InstrumentHandlerCallback[]).push(handler.callback);\n instrument(handler.type);\n}\n\n/** JSDoc */\nfunction triggerHandlers(type: InstrumentHandlerType, data: any): void {\n if (!type || !handlers[type]) {\n return;\n }\n\n for (const handler of handlers[type] || []) {\n try {\n handler(data);\n } catch (e) {\n logger.error(\n `Error while triggering instrumentation handler.\\nType: ${type}\\nName: ${getFunctionName(\n handler,\n )}\\nError: ${e}`,\n );\n }\n }\n}\n\n/** JSDoc */\nfunction instrumentConsole(): void {\n if (!('console' in global)) {\n return;\n }\n\n ['debug', 'info', 'warn', 'error', 'log', 'assert'].forEach(function(level: string): void {\n if (!(level in global.console)) {\n return;\n }\n\n fill(global.console, level, function(originalConsoleLevel: () => any): Function {\n return function(...args: any[]): void {\n triggerHandlers('console', { args, level });\n\n // this fails for some browsers. :(\n if (originalConsoleLevel) {\n Function.prototype.apply.call(originalConsoleLevel, global.console, args);\n }\n };\n });\n });\n}\n\n/** JSDoc */\nfunction instrumentFetch(): void {\n if (!supportsNativeFetch()) {\n return;\n }\n\n fill(global, 'fetch', function(originalFetch: () => void): () => void {\n return function(...args: any[]): void {\n const commonHandlerData = {\n args,\n fetchData: {\n method: getFetchMethod(args),\n url: getFetchUrl(args),\n },\n startTimestamp: Date.now(),\n };\n\n triggerHandlers('fetch', {\n ...commonHandlerData,\n });\n\n return originalFetch.apply(global, args).then(\n (response: Response) => {\n triggerHandlers('fetch', {\n ...commonHandlerData,\n endTimestamp: Date.now(),\n response,\n });\n return response;\n },\n (error: Error) => {\n triggerHandlers('fetch', {\n ...commonHandlerData,\n endTimestamp: Date.now(),\n error,\n });\n throw error;\n },\n );\n };\n });\n}\n\n/** JSDoc */\ninterface SentryWrappedXMLHttpRequest extends XMLHttpRequest {\n [key: string]: any;\n __sentry_xhr__?: {\n method?: string;\n url?: string;\n status_code?: number;\n };\n}\n\n/** Extract `method` from fetch call arguments */\nfunction getFetchMethod(fetchArgs: any[] = []): string {\n if ('Request' in global && isInstanceOf(fetchArgs[0], Request) && fetchArgs[0].method) {\n return String(fetchArgs[0].method).toUpperCase();\n }\n if (fetchArgs[1] && fetchArgs[1].method) {\n return String(fetchArgs[1].method).toUpperCase();\n }\n return 'GET';\n}\n\n/** Extract `url` from fetch call arguments */\nfunction getFetchUrl(fetchArgs: any[] = []): string {\n if (typeof fetchArgs[0] === 'string') {\n return fetchArgs[0];\n }\n if ('Request' in global && isInstanceOf(fetchArgs[0], Request)) {\n return fetchArgs[0].url;\n }\n return String(fetchArgs[0]);\n}\n\n/** JSDoc */\nfunction instrumentXHR(): void {\n if (!('XMLHttpRequest' in global)) {\n return;\n }\n\n const xhrproto = XMLHttpRequest.prototype;\n\n fill(xhrproto, 'open', function(originalOpen: () => void): () => void {\n return function(this: SentryWrappedXMLHttpRequest, ...args: any[]): void {\n const url = args[1];\n this.__sentry_xhr__ = {\n method: isString(args[0]) ? args[0].toUpperCase() : args[0],\n url: args[1],\n };\n\n // if Sentry key appears in URL, don't capture it as a request\n if (isString(url) && this.__sentry_xhr__.method === 'POST' && url.match(/sentry_key/)) {\n this.__sentry_own_request__ = true;\n }\n\n return originalOpen.apply(this, args);\n };\n });\n\n fill(xhrproto, 'send', function(originalSend: () => void): () => void {\n return function(this: SentryWrappedXMLHttpRequest, ...args: any[]): void {\n const xhr = this; // tslint:disable-line:no-this-assignment\n const commonHandlerData = {\n args,\n startTimestamp: Date.now(),\n xhr,\n };\n\n triggerHandlers('xhr', {\n ...commonHandlerData,\n });\n\n xhr.addEventListener('readystatechange', function(): void {\n if (xhr.readyState === 4) {\n try {\n // touching statusCode in some platforms throws\n // an exception\n if (xhr.__sentry_xhr__) {\n xhr.__sentry_xhr__.status_code = xhr.status;\n }\n } catch (e) {\n /* do nothing */\n }\n triggerHandlers('xhr', {\n ...commonHandlerData,\n endTimestamp: Date.now(),\n });\n }\n });\n\n return originalSend.apply(this, args);\n };\n });\n}\n\nlet lastHref: string;\n\n/** JSDoc */\nfunction instrumentHistory(): void {\n if (!supportsHistory()) {\n return;\n }\n\n const oldOnPopState = global.onpopstate;\n global.onpopstate = function(this: WindowEventHandlers, ...args: any[]): any {\n const to = global.location.href;\n // keep track of the current URL state, as we always receive only the updated state\n const from = lastHref;\n lastHref = to;\n triggerHandlers('history', {\n from,\n to,\n });\n if (oldOnPopState) {\n return oldOnPopState.apply(this, args);\n }\n };\n\n /** @hidden */\n function historyReplacementFunction(originalHistoryFunction: () => void): () => void {\n return function(this: History, ...args: any[]): void {\n const url = args.length > 2 ? args[2] : undefined;\n if (url) {\n // coerce to string (this is what pushState does)\n const from = lastHref;\n const to = String(url);\n // keep track of the current URL state, as we always receive only the updated state\n lastHref = to;\n triggerHandlers('history', {\n from,\n to,\n });\n }\n return originalHistoryFunction.apply(this, args);\n };\n }\n\n fill(global.history, 'pushState', historyReplacementFunction);\n fill(global.history, 'replaceState', historyReplacementFunction);\n}\n\n/** JSDoc */\nfunction instrumentDOM(): void {\n if (!('document' in global)) {\n return;\n }\n\n // Capture breadcrumbs from any click that is unhandled / bubbled up all the way\n // to the document. Do this before we instrument addEventListener.\n global.document.addEventListener('click', domEventHandler('click', triggerHandlers.bind(null, 'dom')), false);\n global.document.addEventListener('keypress', keypressEventHandler(triggerHandlers.bind(null, 'dom')), false);\n\n // After hooking into document bubbled up click and keypresses events, we also hook into user handled click & keypresses.\n ['EventTarget', 'Node'].forEach((target: string) => {\n const proto = (global as any)[target] && (global as any)[target].prototype;\n\n if (!proto || !proto.hasOwnProperty || !proto.hasOwnProperty('addEventListener')) {\n return;\n }\n\n fill(proto, 'addEventListener', function(\n original: () => void,\n ): (\n eventName: string,\n fn: EventListenerOrEventListenerObject,\n options?: boolean | AddEventListenerOptions,\n ) => void {\n return function(\n this: any,\n eventName: string,\n fn: EventListenerOrEventListenerObject,\n options?: boolean | AddEventListenerOptions,\n ): (eventName: string, fn: EventListenerOrEventListenerObject, capture?: boolean, secure?: boolean) => void {\n if (fn && (fn as EventListenerObject).handleEvent) {\n if (eventName === 'click') {\n fill(fn, 'handleEvent', function(innerOriginal: () => void): (caughtEvent: Event) => void {\n return function(this: any, event: Event): (event: Event) => void {\n domEventHandler('click', triggerHandlers.bind(null, 'dom'))(event);\n return innerOriginal.call(this, event);\n };\n });\n }\n if (eventName === 'keypress') {\n fill(fn, 'handleEvent', function(innerOriginal: () => void): (caughtEvent: Event) => void {\n return function(this: any, event: Event): (event: Event) => void {\n keypressEventHandler(triggerHandlers.bind(null, 'dom'))(event);\n return innerOriginal.call(this, event);\n };\n });\n }\n } else {\n if (eventName === 'click') {\n domEventHandler('click', triggerHandlers.bind(null, 'dom'), true)(this);\n }\n if (eventName === 'keypress') {\n keypressEventHandler(triggerHandlers.bind(null, 'dom'))(this);\n }\n }\n\n return original.call(this, eventName, fn, options);\n };\n });\n\n fill(proto, 'removeEventListener', function(\n original: () => void,\n ): (\n this: any,\n eventName: string,\n fn: EventListenerOrEventListenerObject,\n options?: boolean | EventListenerOptions,\n ) => () => void {\n return function(\n this: any,\n eventName: string,\n fn: EventListenerOrEventListenerObject,\n options?: boolean | EventListenerOptions,\n ): () => void {\n let callback = fn as WrappedFunction;\n try {\n callback = callback && (callback.__sentry_wrapped__ || callback);\n } catch (e) {\n // ignore, accessing __sentry_wrapped__ will throw in some Selenium environments\n }\n return original.call(this, eventName, callback, options);\n };\n });\n });\n}\n\nconst debounceDuration: number = 1000;\nlet debounceTimer: number = 0;\nlet keypressTimeout: number | undefined;\nlet lastCapturedEvent: Event | undefined;\n\n/**\n * Wraps addEventListener to capture UI breadcrumbs\n * @param name the event name (e.g. \"click\")\n * @param handler function that will be triggered\n * @param debounce decides whether it should wait till another event loop\n * @returns wrapped breadcrumb events handler\n * @hidden\n */\nfunction domEventHandler(name: string, handler: Function, debounce: boolean = false): (event: Event) => void {\n return (event: Event) => {\n // reset keypress timeout; e.g. triggering a 'click' after\n // a 'keypress' will reset the keypress debounce so that a new\n // set of keypresses can be recorded\n keypressTimeout = undefined;\n // It's possible this handler might trigger multiple times for the same\n // event (e.g. event propagation through node ancestors). Ignore if we've\n // already captured the event.\n if (!event || lastCapturedEvent === event) {\n return;\n }\n\n lastCapturedEvent = event;\n\n if (debounceTimer) {\n clearTimeout(debounceTimer);\n }\n\n if (debounce) {\n debounceTimer = setTimeout(() => {\n handler({ event, name });\n });\n } else {\n handler({ event, name });\n }\n };\n}\n\n/**\n * Wraps addEventListener to capture keypress UI events\n * @param handler function that will be triggered\n * @returns wrapped keypress events handler\n * @hidden\n */\nfunction keypressEventHandler(handler: Function): (event: Event) => void {\n // TODO: if somehow user switches keypress target before\n // debounce timeout is triggered, we will only capture\n // a single breadcrumb from the FIRST target (acceptable?)\n return (event: Event) => {\n let target;\n\n try {\n target = event.target;\n } catch (e) {\n // just accessing event properties can throw an exception in some rare circumstances\n // see: https://github.com/getsentry/raven-js/issues/838\n return;\n }\n\n const tagName = target && (target as HTMLElement).tagName;\n\n // only consider keypress events on actual input elements\n // this will disregard keypresses targeting body (e.g. tabbing\n // through elements, hotkeys, etc)\n if (!tagName || (tagName !== 'INPUT' && tagName !== 'TEXTAREA' && !(target as HTMLElement).isContentEditable)) {\n return;\n }\n\n // record first keypress in a series, but ignore subsequent\n // keypresses until debounce clears\n if (!keypressTimeout) {\n domEventHandler('input', handler)(event);\n }\n clearTimeout(keypressTimeout);\n\n keypressTimeout = (setTimeout(() => {\n keypressTimeout = undefined;\n }, debounceDuration) as any) as number;\n };\n}\n\nlet _oldOnErrorHandler: OnErrorEventHandler = null;\n/** JSDoc */\nfunction instrumentError(): void {\n _oldOnErrorHandler = global.onerror;\n\n global.onerror = function(msg: any, url: any, line: any, column: any, error: any): boolean {\n triggerHandlers('error', {\n column,\n error,\n line,\n msg,\n url,\n });\n\n if (_oldOnErrorHandler) {\n return _oldOnErrorHandler.apply(this, arguments);\n }\n\n return false;\n };\n}\n\nlet _oldOnUnhandledRejectionHandler: ((e: any) => void) | null = null;\n/** JSDoc */\nfunction instrumentUnhandledRejection(): void {\n _oldOnUnhandledRejectionHandler = global.onunhandledrejection;\n\n global.onunhandledrejection = function(e: any): boolean {\n triggerHandlers('unhandledrejection', e);\n\n if (_oldOnUnhandledRejectionHandler) {\n return _oldOnUnhandledRejectionHandler.apply(this, arguments);\n }\n\n return true;\n };\n}\n","import { API, getCurrentHub } from '@sentry/core';\nimport { Integration, Severity } from '@sentry/types';\nimport {\n addInstrumentationHandler,\n getEventDescription,\n getGlobalObject,\n htmlTreeAsString,\n logger,\n parseUrl,\n safeJoin,\n} from '@sentry/utils';\n\nimport { BrowserClient } from '../client';\n\n/**\n * @hidden\n */\nexport interface SentryWrappedXMLHttpRequest extends XMLHttpRequest {\n [key: string]: any;\n __sentry_xhr__?: {\n method?: string;\n url?: string;\n status_code?: number;\n };\n}\n\n/** JSDoc */\ninterface BreadcrumbIntegrations {\n console?: boolean;\n dom?: boolean;\n fetch?: boolean;\n history?: boolean;\n sentry?: boolean;\n xhr?: boolean;\n}\n\n/**\n * Default Breadcrumbs instrumentations\n * TODO: Deprecated - with v6, this will be renamed to `Instrument`\n */\nexport class Breadcrumbs implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Breadcrumbs.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'Breadcrumbs';\n\n /** JSDoc */\n private readonly _options: BreadcrumbIntegrations;\n\n /**\n * @inheritDoc\n */\n public constructor(options?: BreadcrumbIntegrations) {\n this._options = {\n console: true,\n dom: true,\n fetch: true,\n history: true,\n sentry: true,\n xhr: true,\n ...options,\n };\n }\n\n /**\n * Creates breadcrumbs from console API calls\n */\n private _consoleBreadcrumb(handlerData: { [key: string]: any }): void {\n const breadcrumb = {\n category: 'console',\n data: {\n arguments: handlerData.args,\n logger: 'console',\n },\n level: Severity.fromString(handlerData.level),\n message: safeJoin(handlerData.args, ' '),\n };\n\n if (handlerData.level === 'assert') {\n if (handlerData.args[0] === false) {\n breadcrumb.message = `Assertion failed: ${safeJoin(handlerData.args.slice(1), ' ') || 'console.assert'}`;\n breadcrumb.data.arguments = handlerData.args.slice(1);\n } else {\n // Don't capture a breadcrumb for passed assertions\n return;\n }\n }\n\n getCurrentHub().addBreadcrumb(breadcrumb, {\n input: handlerData.args,\n level: handlerData.level,\n });\n }\n\n /**\n * Creates breadcrumbs from DOM API calls\n */\n private _domBreadcrumb(handlerData: { [key: string]: any }): void {\n let target;\n\n // Accessing event.target can throw (see getsentry/raven-js#838, #768)\n try {\n target = handlerData.event.target\n ? htmlTreeAsString(handlerData.event.target as Node)\n : htmlTreeAsString((handlerData.event as unknown) as Node);\n } catch (e) {\n target = '';\n }\n\n if (target.length === 0) {\n return;\n }\n\n getCurrentHub().addBreadcrumb(\n {\n category: `ui.${handlerData.name}`,\n message: target,\n },\n {\n event: handlerData.event,\n name: handlerData.name,\n },\n );\n }\n\n /**\n * Creates breadcrumbs from XHR API calls\n */\n private _xhrBreadcrumb(handlerData: { [key: string]: any }): void {\n if (handlerData.endTimestamp) {\n // We only capture complete, non-sentry requests\n if (handlerData.xhr.__sentry_own_request__) {\n return;\n }\n\n getCurrentHub().addBreadcrumb(\n {\n category: 'xhr',\n data: handlerData.xhr.__sentry_xhr__,\n type: 'http',\n },\n {\n xhr: handlerData.xhr,\n },\n );\n\n return;\n }\n\n // We only capture issued sentry requests\n if (this._options.sentry && handlerData.xhr.__sentry_own_request__) {\n addSentryBreadcrumb(handlerData.args[0]);\n }\n }\n\n /**\n * Creates breadcrumbs from fetch API calls\n */\n private _fetchBreadcrumb(handlerData: { [key: string]: any }): void {\n // We only capture complete fetch requests\n if (!handlerData.endTimestamp) {\n return;\n }\n\n const client = getCurrentHub().getClient();\n const dsn = client && client.getDsn();\n if (this._options.sentry && dsn) {\n const filterUrl = new API(dsn).getStoreEndpoint();\n // if Sentry key appears in URL, don't capture it as a request\n // but rather as our own 'sentry' type breadcrumb\n if (\n filterUrl &&\n handlerData.fetchData.url.indexOf(filterUrl) !== -1 &&\n handlerData.fetchData.method === 'POST' &&\n handlerData.args[1] &&\n handlerData.args[1].body\n ) {\n addSentryBreadcrumb(handlerData.args[1].body);\n return;\n }\n }\n\n if (handlerData.error) {\n getCurrentHub().addBreadcrumb(\n {\n category: 'fetch',\n data: {\n ...handlerData.fetchData,\n status_code: handlerData.response.status,\n },\n level: Severity.Error,\n type: 'http',\n },\n {\n data: handlerData.error,\n input: handlerData.args,\n },\n );\n } else {\n getCurrentHub().addBreadcrumb(\n {\n category: 'fetch',\n data: {\n ...handlerData.fetchData,\n status_code: handlerData.response.status,\n },\n type: 'http',\n },\n {\n input: handlerData.args,\n response: handlerData.response,\n },\n );\n }\n }\n\n /**\n * Creates breadcrumbs from history API calls\n */\n private _historyBreadcrumb(handlerData: { [key: string]: any }): void {\n const global = getGlobalObject();\n let from = handlerData.from;\n let to = handlerData.to;\n const parsedLoc = parseUrl(global.location.href);\n let parsedFrom = parseUrl(from);\n const parsedTo = parseUrl(to);\n\n // Initial pushState doesn't provide `from` information\n if (!parsedFrom.path) {\n parsedFrom = parsedLoc;\n }\n\n // Use only the path component of the URL if the URL matches the current\n // document (almost all the time when using pushState)\n if (parsedLoc.protocol === parsedTo.protocol && parsedLoc.host === parsedTo.host) {\n // tslint:disable-next-line:no-parameter-reassignment\n to = parsedTo.relative;\n }\n if (parsedLoc.protocol === parsedFrom.protocol && parsedLoc.host === parsedFrom.host) {\n // tslint:disable-next-line:no-parameter-reassignment\n from = parsedFrom.relative;\n }\n\n getCurrentHub().addBreadcrumb({\n category: 'navigation',\n data: {\n from,\n to,\n },\n });\n }\n\n /**\n * Instrument browser built-ins w/ breadcrumb capturing\n * - Console API\n * - DOM API (click/typing)\n * - XMLHttpRequest API\n * - Fetch API\n * - History API\n */\n public setupOnce(): void {\n if (this._options.console) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._consoleBreadcrumb(...args);\n },\n type: 'console',\n });\n }\n if (this._options.dom) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._domBreadcrumb(...args);\n },\n type: 'dom',\n });\n }\n if (this._options.xhr) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._xhrBreadcrumb(...args);\n },\n type: 'xhr',\n });\n }\n if (this._options.fetch) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._fetchBreadcrumb(...args);\n },\n type: 'fetch',\n });\n }\n if (this._options.history) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._historyBreadcrumb(...args);\n },\n type: 'history',\n });\n }\n }\n}\n\n/**\n * Create a breadcrumb of `sentry` from the events themselves\n */\nfunction addSentryBreadcrumb(serializedData: string): void {\n // There's always something that can go wrong with deserialization...\n try {\n const event = JSON.parse(serializedData);\n getCurrentHub().addBreadcrumb(\n {\n category: `sentry.${event.type === 'transaction' ? 'transaction' : 'event'}`,\n event_id: event.event_id,\n level: event.level || Severity.fromString('error'),\n message: getEventDescription(event),\n },\n {\n event,\n },\n );\n } catch (_oO) {\n logger.error('Error while adding sentry type breadcrumb');\n }\n}\n","import { getCurrentHub, initAndBind, Integrations as CoreIntegrations } from '@sentry/core';\nimport { getGlobalObject, SyncPromise } from '@sentry/utils';\n\nimport { BrowserOptions } from './backend';\nimport { BrowserClient, ReportDialogOptions } from './client';\nimport { wrap as internalWrap } from './helpers';\nimport { Breadcrumbs, GlobalHandlers, LinkedErrors, TryCatch, UserAgent } from './integrations';\n\nexport const defaultIntegrations = [\n new CoreIntegrations.InboundFilters(),\n new CoreIntegrations.FunctionToString(),\n new TryCatch(),\n new Breadcrumbs(),\n new GlobalHandlers(),\n new LinkedErrors(),\n new UserAgent(),\n];\n\n/**\n * The Sentry Browser SDK Client.\n *\n * To use this SDK, call the {@link init} function as early as possible when\n * loading the web page. To set context information or send manual events, use\n * the provided methods.\n *\n * @example\n *\n * ```\n *\n * import { init } from '@sentry/browser';\n *\n * init({\n * dsn: '__DSN__',\n * // ...\n * });\n * ```\n *\n * @example\n * ```\n *\n * import { configureScope } from '@sentry/browser';\n * configureScope((scope: Scope) => {\n * scope.setExtra({ battery: 0.7 });\n * scope.setTag({ user_mode: 'admin' });\n * scope.setUser({ id: '4711' });\n * });\n * ```\n *\n * @example\n * ```\n *\n * import { addBreadcrumb } from '@sentry/browser';\n * addBreadcrumb({\n * message: 'My Breadcrumb',\n * // ...\n * });\n * ```\n *\n * @example\n *\n * ```\n *\n * import * as Sentry from '@sentry/browser';\n * Sentry.captureMessage('Hello, world!');\n * Sentry.captureException(new Error('Good bye'));\n * Sentry.captureEvent({\n * message: 'Manual',\n * stacktrace: [\n * // ...\n * ],\n * });\n * ```\n *\n * @see {@link BrowserOptions} for documentation on configuration options.\n */\nexport function init(options: BrowserOptions = {}): void {\n if (options.defaultIntegrations === undefined) {\n options.defaultIntegrations = defaultIntegrations;\n }\n if (options.release === undefined) {\n const window = getGlobalObject();\n // This supports the variable that sentry-webpack-plugin injects\n if (window.SENTRY_RELEASE && window.SENTRY_RELEASE.id) {\n options.release = window.SENTRY_RELEASE.id;\n }\n }\n initAndBind(BrowserClient, options);\n}\n\n/**\n * Present the user with a report dialog.\n *\n * @param options Everything is optional, we try to fetch all info need from the global scope.\n */\nexport function showReportDialog(options: ReportDialogOptions = {}): void {\n if (!options.eventId) {\n options.eventId = getCurrentHub().lastEventId();\n }\n const client = getCurrentHub().getClient();\n if (client) {\n client.showReportDialog(options);\n }\n}\n\n/**\n * This is the getter for lastEventId.\n *\n * @returns The last event id of a captured event.\n */\nexport function lastEventId(): string | undefined {\n return getCurrentHub().lastEventId();\n}\n\n/**\n * This function is here to be API compatible with the loader.\n * @hidden\n */\nexport function forceLoad(): void {\n // Noop\n}\n\n/**\n * This function is here to be API compatible with the loader.\n * @hidden\n */\nexport function onLoad(callback: () => void): void {\n callback();\n}\n\n/**\n * A promise that resolves when all current events have been sent.\n * If you provide a timeout and the queue takes longer to drain the promise returns false.\n *\n * @param timeout Maximum time in ms the client should wait.\n */\nexport function flush(timeout?: number): PromiseLike {\n const client = getCurrentHub().getClient();\n if (client) {\n return client.flush(timeout);\n }\n return SyncPromise.reject(false);\n}\n\n/**\n * A promise that resolves when all current events have been sent.\n * If you provide a timeout and the queue takes longer to drain the promise returns false.\n *\n * @param timeout Maximum time in ms the client should wait.\n */\nexport function close(timeout?: number): PromiseLike {\n const client = getCurrentHub().getClient();\n if (client) {\n return client.close(timeout);\n }\n return SyncPromise.reject(false);\n}\n\n/**\n * Wrap code within a try/catch block so the SDK is able to capture errors.\n *\n * @param fn A function to wrap.\n *\n * @returns The result of wrapped function call.\n */\nexport function wrap(fn: Function): any {\n return internalWrap(fn)(); // tslint:disable-line:no-unsafe-any\n}\n","/** The status of an event. */\nexport enum Status {\n /** The status could not be determined. */\n Unknown = 'unknown',\n /** The event was skipped due to configuration or callbacks. */\n Skipped = 'skipped',\n /** The event was sent to Sentry successfully. */\n Success = 'success',\n /** The client is currently rate limited and will try again later. */\n RateLimit = 'rate_limit',\n /** The event could not be processed. */\n Invalid = 'invalid',\n /** A server-side error ocurred during submission. */\n Failed = 'failed',\n}\n// tslint:disable:completed-docs\n// tslint:disable:no-unnecessary-qualifier no-namespace\nexport namespace Status {\n /**\n * Converts a HTTP status code into a {@link Status}.\n *\n * @param code The HTTP response status code.\n * @returns The send status or {@link Status.Unknown}.\n */\n export function fromHttpCode(code: number): Status {\n if (code >= 200 && code < 300) {\n return Status.Success;\n }\n\n if (code === 429) {\n return Status.RateLimit;\n }\n\n if (code >= 400 && code < 500) {\n return Status.Invalid;\n }\n\n if (code >= 500) {\n return Status.Failed;\n }\n\n return Status.Unknown;\n }\n}\n","import { isThenable } from './is';\n\n/** SyncPromise internal states */\nenum States {\n /** Pending */\n PENDING = 'PENDING',\n /** Resolved / OK */\n RESOLVED = 'RESOLVED',\n /** Rejected / Error */\n REJECTED = 'REJECTED',\n}\n\n/**\n * Thenable class that behaves like a Promise and follows it's interface\n * but is not async internally\n */\nclass SyncPromise implements PromiseLike {\n private _state: States = States.PENDING;\n private _handlers: Array<{\n done: boolean;\n onfulfilled?: ((value: T) => T | PromiseLike) | null;\n onrejected?: ((reason: any) => any) | null;\n }> = [];\n private _value: any;\n\n public constructor(\n executor: (resolve: (value?: T | PromiseLike | null) => void, reject: (reason?: any) => void) => void,\n ) {\n try {\n executor(this._resolve, this._reject);\n } catch (e) {\n this._reject(e);\n }\n }\n\n /** JSDoc */\n public toString(): string {\n return '[object SyncPromise]';\n }\n\n /** JSDoc */\n public static resolve(value: T | PromiseLike): PromiseLike {\n return new SyncPromise(resolve => {\n resolve(value);\n });\n }\n\n /** JSDoc */\n public static reject(reason?: any): PromiseLike {\n return new SyncPromise((_, reject) => {\n reject(reason);\n });\n }\n\n /** JSDoc */\n public static all(collection: Array>): PromiseLike {\n return new SyncPromise((resolve, reject) => {\n if (!Array.isArray(collection)) {\n reject(new TypeError(`Promise.all requires an array as input.`));\n return;\n }\n\n if (collection.length === 0) {\n resolve([]);\n return;\n }\n\n let counter = collection.length;\n const resolvedCollection: U[] = [];\n\n collection.forEach((item, index) => {\n SyncPromise.resolve(item)\n .then(value => {\n resolvedCollection[index] = value;\n counter -= 1;\n\n if (counter !== 0) {\n return;\n }\n resolve(resolvedCollection);\n })\n .then(null, reject);\n });\n });\n }\n\n /** JSDoc */\n public then(\n onfulfilled?: ((value: T) => TResult1 | PromiseLike) | null,\n onrejected?: ((reason: any) => TResult2 | PromiseLike) | null,\n ): PromiseLike {\n return new SyncPromise((resolve, reject) => {\n this._attachHandler({\n done: false,\n onfulfilled: result => {\n if (!onfulfilled) {\n // TODO: ¯\\_(ツ)_/¯\n // TODO: FIXME\n resolve(result as any);\n return;\n }\n try {\n resolve(onfulfilled(result));\n return;\n } catch (e) {\n reject(e);\n return;\n }\n },\n onrejected: reason => {\n if (!onrejected) {\n reject(reason);\n return;\n }\n try {\n resolve(onrejected(reason));\n return;\n } catch (e) {\n reject(e);\n return;\n }\n },\n });\n });\n }\n\n /** JSDoc */\n public catch(\n onrejected?: ((reason: any) => TResult | PromiseLike) | null,\n ): PromiseLike {\n return this.then(val => val, onrejected);\n }\n\n /** JSDoc */\n public finally(onfinally?: (() => void) | null): PromiseLike {\n return new SyncPromise((resolve, reject) => {\n let val: TResult | any;\n let isRejected: boolean;\n\n return this.then(\n value => {\n isRejected = false;\n val = value;\n if (onfinally) {\n onfinally();\n }\n },\n reason => {\n isRejected = true;\n val = reason;\n if (onfinally) {\n onfinally();\n }\n },\n ).then(() => {\n if (isRejected) {\n reject(val);\n return;\n }\n\n resolve((val as unknown) as any);\n });\n });\n }\n\n /** JSDoc */\n private readonly _resolve = (value?: T | PromiseLike | null) => {\n this._setResult(States.RESOLVED, value);\n };\n\n /** JSDoc */\n private readonly _reject = (reason?: any) => {\n this._setResult(States.REJECTED, reason);\n };\n\n /** JSDoc */\n private readonly _setResult = (state: States, value?: T | PromiseLike | any) => {\n if (this._state !== States.PENDING) {\n return;\n }\n\n if (isThenable(value)) {\n (value as PromiseLike).then(this._resolve, this._reject);\n return;\n }\n\n this._state = state;\n this._value = value;\n\n this._executeHandlers();\n };\n\n // TODO: FIXME\n /** JSDoc */\n private readonly _attachHandler = (handler: {\n /** JSDoc */\n done: boolean;\n /** JSDoc */\n onfulfilled?(value: T): any;\n /** JSDoc */\n onrejected?(reason: any): any;\n }) => {\n this._handlers = this._handlers.concat(handler);\n this._executeHandlers();\n };\n\n /** JSDoc */\n private readonly _executeHandlers = () => {\n if (this._state === States.PENDING) {\n return;\n }\n\n const cachedHandlers = this._handlers.slice();\n this._handlers = [];\n\n cachedHandlers.forEach(handler => {\n if (handler.done) {\n return;\n }\n\n if (this._state === States.RESOLVED) {\n if (handler.onfulfilled) {\n handler.onfulfilled((this._value as unknown) as any);\n }\n }\n\n if (this._state === States.REJECTED) {\n if (handler.onrejected) {\n handler.onrejected(this._value);\n }\n }\n\n handler.done = true;\n });\n };\n}\n\nexport { SyncPromise };\n","import { Integration, WrappedFunction } from '@sentry/types';\n\nlet originalFunctionToString: () => void;\n\n/** Patch toString calls to return proper name for wrapped functions */\nexport class FunctionToString implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = FunctionToString.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'FunctionToString';\n\n /**\n * @inheritDoc\n */\n public setupOnce(): void {\n originalFunctionToString = Function.prototype.toString;\n\n Function.prototype.toString = function(this: WrappedFunction, ...args: any[]): string {\n const context = this.__sentry_original__ || this;\n // tslint:disable-next-line:no-unsafe-any\n return originalFunctionToString.apply(context, args);\n };\n }\n}\n","export const setPrototypeOf =\n Object.setPrototypeOf || ({ __proto__: [] } instanceof Array ? setProtoOf : mixinProperties); // tslint:disable-line:no-unbound-method\n\n/**\n * setPrototypeOf polyfill using __proto__\n */\nfunction setProtoOf(obj: TTarget, proto: TProto): TTarget & TProto {\n // @ts-ignore\n obj.__proto__ = proto;\n return obj as TTarget & TProto;\n}\n\n/**\n * setPrototypeOf polyfill using mixin\n */\nfunction mixinProperties(obj: TTarget, proto: TProto): TTarget & TProto {\n for (const prop in proto) {\n if (!obj.hasOwnProperty(prop)) {\n // @ts-ignore\n obj[prop] = proto[prop];\n }\n }\n\n return obj as TTarget & TProto;\n}\n","import { setPrototypeOf } from './polyfill';\n\n/** An error emitted by Sentry SDKs and related utilities. */\nexport class SentryError extends Error {\n /** Display name of this error instance. */\n public name: string;\n\n public constructor(public message: string) {\n super(message);\n\n // tslint:disable:no-unsafe-any\n this.name = new.target.prototype.constructor.name;\n setPrototypeOf(this, new.target.prototype);\n }\n}\n","import { DsnComponents, DsnLike, DsnProtocol } from '@sentry/types';\n\nimport { SentryError } from './error';\n\n/** Regular expression used to parse a Dsn. */\nconst DSN_REGEX = /^(?:(\\w+):)\\/\\/(?:(\\w+)(?::(\\w+))?@)([\\w\\.-]+)(?::(\\d+))?\\/(.+)/;\n\n/** Error message */\nconst ERROR_MESSAGE = 'Invalid Dsn';\n\n/** The Sentry Dsn, identifying a Sentry instance and project. */\nexport class Dsn implements DsnComponents {\n /** Protocol used to connect to Sentry. */\n public protocol!: DsnProtocol;\n /** Public authorization key. */\n public user!: string;\n /** Private authorization key (deprecated, optional). */\n public pass!: string;\n /** Hostname of the Sentry instance. */\n public host!: string;\n /** Port of the Sentry instance. */\n public port!: string;\n /** Path */\n public path!: string;\n /** Project ID */\n public projectId!: string;\n\n /** Creates a new Dsn component */\n public constructor(from: DsnLike) {\n if (typeof from === 'string') {\n this._fromString(from);\n } else {\n this._fromComponents(from);\n }\n\n this._validate();\n }\n\n /**\n * Renders the string representation of this Dsn.\n *\n * By default, this will render the public representation without the password\n * component. To get the deprecated private representation, set `withPassword`\n * to true.\n *\n * @param withPassword When set to true, the password will be included.\n */\n public toString(withPassword: boolean = false): string {\n // tslint:disable-next-line:no-this-assignment\n const { host, path, pass, port, projectId, protocol, user } = this;\n return (\n `${protocol}://${user}${withPassword && pass ? `:${pass}` : ''}` +\n `@${host}${port ? `:${port}` : ''}/${path ? `${path}/` : path}${projectId}`\n );\n }\n\n /** Parses a string into this Dsn. */\n private _fromString(str: string): void {\n const match = DSN_REGEX.exec(str);\n\n if (!match) {\n throw new SentryError(ERROR_MESSAGE);\n }\n\n const [protocol, user, pass = '', host, port = '', lastPath] = match.slice(1);\n let path = '';\n let projectId = lastPath;\n\n const split = projectId.split('/');\n if (split.length > 1) {\n path = split.slice(0, -1).join('/');\n projectId = split.pop() as string;\n }\n\n this._fromComponents({ host, pass, path, projectId, port, protocol: protocol as DsnProtocol, user });\n }\n\n /** Maps Dsn components into this instance. */\n private _fromComponents(components: DsnComponents): void {\n this.protocol = components.protocol;\n this.user = components.user;\n this.pass = components.pass || '';\n this.host = components.host;\n this.port = components.port || '';\n this.path = components.path || '';\n this.projectId = components.projectId;\n }\n\n /** Validates this Dsn and throws on error. */\n private _validate(): void {\n ['protocol', 'user', 'host', 'projectId'].forEach(component => {\n if (!this[component as keyof DsnComponents]) {\n throw new SentryError(ERROR_MESSAGE);\n }\n });\n\n if (this.protocol !== 'http' && this.protocol !== 'https') {\n throw new SentryError(ERROR_MESSAGE);\n }\n\n if (this.port && isNaN(parseInt(this.port, 10))) {\n throw new SentryError(ERROR_MESSAGE);\n }\n }\n}\n","import { DsnLike } from '@sentry/types';\nimport { Dsn, urlEncode } from '@sentry/utils';\n\nconst SENTRY_API_VERSION = '7';\n\n/** Helper class to provide urls to different Sentry endpoints. */\nexport class API {\n /** The internally used Dsn object. */\n private readonly _dsnObject: Dsn;\n /** Create a new instance of API */\n public constructor(public dsn: DsnLike) {\n this._dsnObject = new Dsn(dsn);\n }\n\n /** Returns the Dsn object. */\n public getDsn(): Dsn {\n return this._dsnObject;\n }\n\n /** Returns a string with auth headers in the url to the store endpoint. */\n public getStoreEndpoint(): string {\n return `${this._getBaseUrl()}${this.getStoreEndpointPath()}`;\n }\n\n /** Returns the store endpoint with auth added in url encoded. */\n public getStoreEndpointWithUrlEncodedAuth(): string {\n const dsn = this._dsnObject;\n const auth = {\n sentry_key: dsn.user, // sentry_key is currently used in tracing integration to identify internal sentry requests\n sentry_version: SENTRY_API_VERSION,\n };\n // Auth is intentionally sent as part of query string (NOT as custom HTTP header)\n // to avoid preflight CORS requests\n return `${this.getStoreEndpoint()}?${urlEncode(auth)}`;\n }\n\n /** Returns the base path of the url including the port. */\n private _getBaseUrl(): string {\n const dsn = this._dsnObject;\n const protocol = dsn.protocol ? `${dsn.protocol}:` : '';\n const port = dsn.port ? `:${dsn.port}` : '';\n return `${protocol}//${dsn.host}${port}`;\n }\n\n /** Returns only the path component for the store endpoint. */\n public getStoreEndpointPath(): string {\n const dsn = this._dsnObject;\n return `${dsn.path ? `/${dsn.path}` : ''}/api/${dsn.projectId}/store/`;\n }\n\n /** Returns an object that can be used in request headers. */\n public getRequestHeaders(clientName: string, clientVersion: string): { [key: string]: string } {\n const dsn = this._dsnObject;\n const header = [`Sentry sentry_version=${SENTRY_API_VERSION}`];\n header.push(`sentry_client=${clientName}/${clientVersion}`);\n header.push(`sentry_key=${dsn.user}`);\n if (dsn.pass) {\n header.push(`sentry_secret=${dsn.pass}`);\n }\n return {\n 'Content-Type': 'application/json',\n 'X-Sentry-Auth': header.join(', '),\n };\n }\n\n /** Returns the url to the report dialog endpoint. */\n public getReportDialogEndpoint(\n dialogOptions: {\n [key: string]: any;\n user?: { name?: string; email?: string };\n } = {},\n ): string {\n const dsn = this._dsnObject;\n const endpoint = `${this._getBaseUrl()}${dsn.path ? `/${dsn.path}` : ''}/api/embed/error-page/`;\n\n const encodedOptions = [];\n encodedOptions.push(`dsn=${dsn.toString()}`);\n for (const key in dialogOptions) {\n if (key === 'user') {\n if (!dialogOptions.user) {\n continue;\n }\n if (dialogOptions.user.name) {\n encodedOptions.push(`name=${encodeURIComponent(dialogOptions.user.name)}`);\n }\n if (dialogOptions.user.email) {\n encodedOptions.push(`email=${encodeURIComponent(dialogOptions.user.email)}`);\n }\n } else {\n encodedOptions.push(`${encodeURIComponent(key)}=${encodeURIComponent(dialogOptions[key] as string)}`);\n }\n }\n if (encodedOptions.length) {\n return `${endpoint}?${encodedOptions.join('&')}`;\n }\n\n return endpoint;\n }\n}\n","import { Scope } from '@sentry/hub';\nimport { Client, Event, EventHint, Integration, IntegrationClass, Options, SdkInfo, Severity } from '@sentry/types';\nimport { Dsn, isPrimitive, isThenable, logger, normalize, SyncPromise, truncate, uuid4 } from '@sentry/utils';\n\nimport { Backend, BackendClass } from './basebackend';\nimport { IntegrationIndex, setupIntegrations } from './integration';\n\n/**\n * Base implementation for all JavaScript SDK clients.\n *\n * Call the constructor with the corresponding backend constructor and options\n * specific to the client subclass. To access these options later, use\n * {@link Client.getOptions}. Also, the Backend instance is available via\n * {@link Client.getBackend}.\n *\n * If a Dsn is specified in the options, it will be parsed and stored. Use\n * {@link Client.getDsn} to retrieve the Dsn at any moment. In case the Dsn is\n * invalid, the constructor will throw a {@link SentryException}. Note that\n * without a valid Dsn, the SDK will not send any events to Sentry.\n *\n * Before sending an event via the backend, it is passed through\n * {@link BaseClient.prepareEvent} to add SDK information and scope data\n * (breadcrumbs and context). To add more custom information, override this\n * method and extend the resulting prepared event.\n *\n * To issue automatically created events (e.g. via instrumentation), use\n * {@link Client.captureEvent}. It will prepare the event and pass it through\n * the callback lifecycle. To issue auto-breadcrumbs, use\n * {@link Client.addBreadcrumb}.\n *\n * @example\n * class NodeClient extends BaseClient {\n * public constructor(options: NodeOptions) {\n * super(NodeBackend, options);\n * }\n *\n * // ...\n * }\n */\nexport abstract class BaseClient implements Client {\n /**\n * The backend used to physically interact in the enviornment. Usually, this\n * will correspond to the client. When composing SDKs, however, the Backend\n * from the root SDK will be used.\n */\n protected readonly _backend: B;\n\n /** Options passed to the SDK. */\n protected readonly _options: O;\n\n /** The client Dsn, if specified in options. Without this Dsn, the SDK will be disabled. */\n protected readonly _dsn?: Dsn;\n\n /** Array of used integrations. */\n protected _integrations: IntegrationIndex = {};\n\n /** Is the client still processing a call? */\n protected _processing: boolean = false;\n\n /**\n * Initializes this client instance.\n *\n * @param backendClass A constructor function to create the backend.\n * @param options Options for the client.\n */\n protected constructor(backendClass: BackendClass, options: O) {\n this._backend = new backendClass(options);\n this._options = options;\n\n if (options.dsn) {\n this._dsn = new Dsn(options.dsn);\n }\n }\n\n /**\n * @inheritDoc\n */\n public captureException(exception: any, hint?: EventHint, scope?: Scope): string | undefined {\n let eventId: string | undefined = hint && hint.event_id;\n this._processing = true;\n\n this._getBackend()\n .eventFromException(exception, hint)\n .then(event => this._processEvent(event, hint, scope))\n .then(finalEvent => {\n // We need to check for finalEvent in case beforeSend returned null\n eventId = finalEvent && finalEvent.event_id;\n this._processing = false;\n })\n .then(null, reason => {\n logger.error(reason);\n this._processing = false;\n });\n\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public captureMessage(message: string, level?: Severity, hint?: EventHint, scope?: Scope): string | undefined {\n let eventId: string | undefined = hint && hint.event_id;\n\n this._processing = true;\n\n const promisedEvent = isPrimitive(message)\n ? this._getBackend().eventFromMessage(`${message}`, level, hint)\n : this._getBackend().eventFromException(message, hint);\n\n promisedEvent\n .then(event => this._processEvent(event, hint, scope))\n .then(finalEvent => {\n // We need to check for finalEvent in case beforeSend returned null\n eventId = finalEvent && finalEvent.event_id;\n this._processing = false;\n })\n .then(null, reason => {\n logger.error(reason);\n this._processing = false;\n });\n\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public captureEvent(event: Event, hint?: EventHint, scope?: Scope): string | undefined {\n let eventId: string | undefined = hint && hint.event_id;\n this._processing = true;\n\n this._processEvent(event, hint, scope)\n .then(finalEvent => {\n // We need to check for finalEvent in case beforeSend returned null\n eventId = finalEvent && finalEvent.event_id;\n this._processing = false;\n })\n .then(null, reason => {\n logger.error(reason);\n this._processing = false;\n });\n\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public getDsn(): Dsn | undefined {\n return this._dsn;\n }\n\n /**\n * @inheritDoc\n */\n public getOptions(): O {\n return this._options;\n }\n\n /**\n * @inheritDoc\n */\n public flush(timeout?: number): PromiseLike {\n return this._isClientProcessing(timeout).then(status => {\n clearInterval(status.interval);\n return this._getBackend()\n .getTransport()\n .close(timeout)\n .then(transportFlushed => status.ready && transportFlushed);\n });\n }\n\n /**\n * @inheritDoc\n */\n public close(timeout?: number): PromiseLike {\n return this.flush(timeout).then(result => {\n this.getOptions().enabled = false;\n return result;\n });\n }\n\n /**\n * Sets up the integrations\n */\n public setupIntegrations(): void {\n if (this._isEnabled()) {\n this._integrations = setupIntegrations(this._options);\n }\n }\n\n /**\n * @inheritDoc\n */\n public getIntegration(integration: IntegrationClass): T | null {\n try {\n return (this._integrations[integration.id] as T) || null;\n } catch (_oO) {\n logger.warn(`Cannot retrieve integration ${integration.id} from the current Client`);\n return null;\n }\n }\n\n /** Waits for the client to be done with processing. */\n protected _isClientProcessing(timeout?: number): PromiseLike<{ ready: boolean; interval: number }> {\n return new SyncPromise<{ ready: boolean; interval: number }>(resolve => {\n let ticked: number = 0;\n const tick: number = 1;\n\n let interval = 0;\n clearInterval(interval);\n\n interval = (setInterval(() => {\n if (!this._processing) {\n resolve({\n interval,\n ready: true,\n });\n } else {\n ticked += tick;\n if (timeout && ticked >= timeout) {\n resolve({\n interval,\n ready: false,\n });\n }\n }\n }, tick) as unknown) as number;\n });\n }\n\n /** Returns the current backend. */\n protected _getBackend(): B {\n return this._backend;\n }\n\n /** Determines whether this SDK is enabled and a valid Dsn is present. */\n protected _isEnabled(): boolean {\n return this.getOptions().enabled !== false && this._dsn !== undefined;\n }\n\n /**\n * Adds common information to events.\n *\n * The information includes release and environment from `options`,\n * breadcrumbs and context (extra, tags and user) from the scope.\n *\n * Information that is already present in the event is never overwritten. For\n * nested objects, such as the context, keys are merged.\n *\n * @param event The original event.\n * @param hint May contain additional informartion about the original exception.\n * @param scope A scope containing event metadata.\n * @returns A new event with more information.\n */\n protected _prepareEvent(event: Event, scope?: Scope, hint?: EventHint): PromiseLike {\n const { environment, release, dist, maxValueLength = 250, normalizeDepth = 3 } = this.getOptions();\n\n const prepared: Event = { ...event };\n if (prepared.environment === undefined && environment !== undefined) {\n prepared.environment = environment;\n }\n if (prepared.release === undefined && release !== undefined) {\n prepared.release = release;\n }\n\n if (prepared.dist === undefined && dist !== undefined) {\n prepared.dist = dist;\n }\n\n if (prepared.message) {\n prepared.message = truncate(prepared.message, maxValueLength);\n }\n\n const exception = prepared.exception && prepared.exception.values && prepared.exception.values[0];\n if (exception && exception.value) {\n exception.value = truncate(exception.value, maxValueLength);\n }\n\n const request = prepared.request;\n if (request && request.url) {\n request.url = truncate(request.url, maxValueLength);\n }\n\n if (prepared.event_id === undefined) {\n prepared.event_id = hint && hint.event_id ? hint.event_id : uuid4();\n }\n\n this._addIntegrations(prepared.sdk);\n\n // We prepare the result here with a resolved Event.\n let result = SyncPromise.resolve(prepared);\n\n // This should be the last thing called, since we want that\n // {@link Hub.addEventProcessor} gets the finished prepared event.\n if (scope) {\n // In case we have a hub we reassign it.\n result = scope.applyToEvent(prepared, hint);\n }\n\n return result.then(evt => {\n // tslint:disable-next-line:strict-type-predicates\n if (typeof normalizeDepth === 'number' && normalizeDepth > 0) {\n return this._normalizeEvent(evt, normalizeDepth);\n }\n return evt;\n });\n }\n\n /**\n * Applies `normalize` function on necessary `Event` attributes to make them safe for serialization.\n * Normalized keys:\n * - `breadcrumbs.data`\n * - `user`\n * - `contexts`\n * - `extra`\n * @param event Event\n * @returns Normalized event\n */\n protected _normalizeEvent(event: Event | null, depth: number): Event | null {\n if (!event) {\n return null;\n }\n\n // tslint:disable:no-unsafe-any\n return {\n ...event,\n ...(event.breadcrumbs && {\n breadcrumbs: event.breadcrumbs.map(b => ({\n ...b,\n ...(b.data && {\n data: normalize(b.data, depth),\n }),\n })),\n }),\n ...(event.user && {\n user: normalize(event.user, depth),\n }),\n ...(event.contexts && {\n contexts: normalize(event.contexts, depth),\n }),\n ...(event.extra && {\n extra: normalize(event.extra, depth),\n }),\n };\n }\n\n /**\n * This function adds all used integrations to the SDK info in the event.\n * @param sdkInfo The sdkInfo of the event that will be filled with all integrations.\n */\n protected _addIntegrations(sdkInfo?: SdkInfo): void {\n const integrationsArray = Object.keys(this._integrations);\n if (sdkInfo && integrationsArray.length > 0) {\n sdkInfo.integrations = integrationsArray;\n }\n }\n\n /**\n * Processes an event (either error or message) and sends it to Sentry.\n *\n * This also adds breadcrumbs and context information to the event. However,\n * platform specific meta data (such as the User's IP address) must be added\n * by the SDK implementor.\n *\n *\n * @param event The event to send to Sentry.\n * @param hint May contain additional informartion about the original exception.\n * @param scope A scope containing event metadata.\n * @returns A SyncPromise that resolves with the event or rejects in case event was/will not be send.\n */\n protected _processEvent(event: Event, hint?: EventHint, scope?: Scope): PromiseLike {\n const { beforeSend, sampleRate } = this.getOptions();\n\n if (!this._isEnabled()) {\n return SyncPromise.reject('SDK not enabled, will not send event.');\n }\n\n // 1.0 === 100% events are sent\n // 0.0 === 0% events are sent\n if (typeof sampleRate === 'number' && Math.random() > sampleRate) {\n return SyncPromise.reject('This event has been sampled, will not send event.');\n }\n\n return new SyncPromise((resolve, reject) => {\n this._prepareEvent(event, scope, hint)\n .then(prepared => {\n if (prepared === null) {\n reject('An event processor returned null, will not send event.');\n return;\n }\n\n let finalEvent: Event | null = prepared;\n\n const isInternalException = hint && hint.data && (hint.data as { [key: string]: any }).__sentry__ === true;\n if (isInternalException || !beforeSend) {\n this._getBackend().sendEvent(finalEvent);\n resolve(finalEvent);\n return;\n }\n\n const beforeSendResult = beforeSend(prepared, hint);\n // tslint:disable-next-line:strict-type-predicates\n if (typeof beforeSendResult === 'undefined') {\n logger.error('`beforeSend` method has to return `null` or a valid event.');\n } else if (isThenable(beforeSendResult)) {\n this._handleAsyncBeforeSend(beforeSendResult as PromiseLike, resolve, reject);\n } else {\n finalEvent = beforeSendResult as Event | null;\n\n if (finalEvent === null) {\n logger.log('`beforeSend` returned `null`, will not send event.');\n resolve(null);\n return;\n }\n\n // From here on we are really async\n this._getBackend().sendEvent(finalEvent);\n resolve(finalEvent);\n }\n })\n .then(null, reason => {\n this.captureException(reason, {\n data: {\n __sentry__: true,\n },\n originalException: reason as Error,\n });\n reject(\n `Event processing pipeline threw an error, original event will not be sent. Details have been sent as a new event.\\nReason: ${reason}`,\n );\n });\n });\n }\n\n /**\n * Resolves before send Promise and calls resolve/reject on parent SyncPromise.\n */\n private _handleAsyncBeforeSend(\n beforeSend: PromiseLike,\n resolve: (event: Event) => void,\n reject: (reason: string) => void,\n ): void {\n beforeSend\n .then(processedEvent => {\n if (processedEvent === null) {\n reject('`beforeSend` returned `null`, will not send event.');\n return;\n }\n // From here on we are really async\n this._getBackend().sendEvent(processedEvent);\n resolve(processedEvent);\n })\n .then(null, e => {\n reject(`beforeSend rejected with ${e}`);\n });\n }\n}\n","import { Event, Response, Status, Transport } from '@sentry/types';\nimport { SyncPromise } from '@sentry/utils';\n\n/** Noop transport */\nexport class NoopTransport implements Transport {\n /**\n * @inheritDoc\n */\n public sendEvent(_: Event): PromiseLike {\n return SyncPromise.resolve({\n reason: `NoopTransport: Event has been skipped because no Dsn is configured.`,\n status: Status.Skipped,\n });\n }\n\n /**\n * @inheritDoc\n */\n public close(_?: number): PromiseLike {\n return SyncPromise.resolve(true);\n }\n}\n","import { Event, EventHint, Options, Severity, Transport } from '@sentry/types';\nimport { logger, SentryError } from '@sentry/utils';\n\nimport { NoopTransport } from './transports/noop';\n\n/**\n * Internal platform-dependent Sentry SDK Backend.\n *\n * While {@link Client} contains business logic specific to an SDK, the\n * Backend offers platform specific implementations for low-level operations.\n * These are persisting and loading information, sending events, and hooking\n * into the environment.\n *\n * Backends receive a handle to the Client in their constructor. When a\n * Backend automatically generates events, it must pass them to\n * the Client for validation and processing first.\n *\n * Usually, the Client will be of corresponding type, e.g. NodeBackend\n * receives NodeClient. However, higher-level SDKs can choose to instanciate\n * multiple Backends and delegate tasks between them. In this case, an event\n * generated by one backend might very well be sent by another one.\n *\n * The client also provides access to options via {@link Client.getOptions}.\n * @hidden\n */\nexport interface Backend {\n /** Creates a {@link Event} from an exception. */\n eventFromException(exception: any, hint?: EventHint): PromiseLike;\n\n /** Creates a {@link Event} from a plain message. */\n eventFromMessage(message: string, level?: Severity, hint?: EventHint): PromiseLike;\n\n /** Submits the event to Sentry */\n sendEvent(event: Event): void;\n\n /**\n * Returns the transport that is used by the backend.\n * Please note that the transport gets lazy initialized so it will only be there once the first event has been sent.\n *\n * @returns The transport.\n */\n getTransport(): Transport;\n}\n\n/**\n * A class object that can instanciate Backend objects.\n * @hidden\n */\nexport type BackendClass = new (options: O) => B;\n\n/**\n * This is the base implemention of a Backend.\n * @hidden\n */\nexport abstract class BaseBackend implements Backend {\n /** Options passed to the SDK. */\n protected readonly _options: O;\n\n /** Cached transport used internally. */\n protected _transport: Transport;\n\n /** Creates a new backend instance. */\n public constructor(options: O) {\n this._options = options;\n if (!this._options.dsn) {\n logger.warn('No DSN provided, backend will not do anything.');\n }\n this._transport = this._setupTransport();\n }\n\n /**\n * Sets up the transport so it can be used later to send requests.\n */\n protected _setupTransport(): Transport {\n return new NoopTransport();\n }\n\n /**\n * @inheritDoc\n */\n public eventFromException(_exception: any, _hint?: EventHint): PromiseLike {\n throw new SentryError('Backend has to implement `eventFromException` method');\n }\n\n /**\n * @inheritDoc\n */\n public eventFromMessage(_message: string, _level?: Severity, _hint?: EventHint): PromiseLike {\n throw new SentryError('Backend has to implement `eventFromMessage` method');\n }\n\n /**\n * @inheritDoc\n */\n public sendEvent(event: Event): void {\n this._transport.sendEvent(event).then(null, reason => {\n logger.error(`Error while sending event: ${reason}`);\n });\n }\n\n /**\n * @inheritDoc\n */\n public getTransport(): Transport {\n return this._transport;\n }\n}\n","import { SentryError } from './error';\nimport { SyncPromise } from './syncpromise';\n\n/** A simple queue that holds promises. */\nexport class PromiseBuffer {\n public constructor(protected _limit?: number) {}\n\n /** Internal set of queued Promises */\n private readonly _buffer: Array> = [];\n\n /**\n * Says if the buffer is ready to take more requests\n */\n public isReady(): boolean {\n return this._limit === undefined || this.length() < this._limit;\n }\n\n /**\n * Add a promise to the queue.\n *\n * @param task Can be any PromiseLike\n * @returns The original promise.\n */\n public add(task: PromiseLike): PromiseLike {\n if (!this.isReady()) {\n return SyncPromise.reject(new SentryError('Not adding Promise due to buffer limit reached.'));\n }\n if (this._buffer.indexOf(task) === -1) {\n this._buffer.push(task);\n }\n task\n .then(() => this.remove(task))\n .then(null, () =>\n this.remove(task).then(null, () => {\n // We have to add this catch here otherwise we have an unhandledPromiseRejection\n // because it's a new Promise chain.\n }),\n );\n return task;\n }\n\n /**\n * Remove a promise to the queue.\n *\n * @param task Can be any PromiseLike\n * @returns Removed promise.\n */\n public remove(task: PromiseLike): PromiseLike {\n const removedTask = this._buffer.splice(this._buffer.indexOf(task), 1)[0];\n return removedTask;\n }\n\n /**\n * This function returns the number of unresolved promises in the queue.\n */\n public length(): number {\n return this._buffer.length;\n }\n\n /**\n * This will drain the whole queue, returns true if queue is empty or drained.\n * If timeout is provided and the queue takes longer to drain, the promise still resolves but with false.\n *\n * @param timeout Number in ms to wait until it resolves with false.\n */\n public drain(timeout?: number): PromiseLike {\n return new SyncPromise(resolve => {\n const capturedSetTimeout = setTimeout(() => {\n if (timeout && timeout > 0) {\n resolve(false);\n }\n }, timeout);\n SyncPromise.all(this._buffer)\n .then(() => {\n clearTimeout(capturedSetTimeout);\n resolve(true);\n })\n .then(null, () => {\n resolve(true);\n });\n });\n }\n}\n","import { API } from '@sentry/core';\nimport { Event, Response, Transport, TransportOptions } from '@sentry/types';\nimport { PromiseBuffer, SentryError } from '@sentry/utils';\n\n/** Base Transport class implementation */\nexport abstract class BaseTransport implements Transport {\n /**\n * @inheritDoc\n */\n public url: string;\n\n /** A simple buffer holding all requests. */\n protected readonly _buffer: PromiseBuffer = new PromiseBuffer(30);\n\n public constructor(public options: TransportOptions) {\n this.url = new API(this.options.dsn).getStoreEndpointWithUrlEncodedAuth();\n }\n\n /**\n * @inheritDoc\n */\n public sendEvent(_: Event): PromiseLike {\n throw new SentryError('Transport Class has to implement `sendEvent` method');\n }\n\n /**\n * @inheritDoc\n */\n public close(timeout?: number): PromiseLike {\n return this._buffer.drain(timeout);\n }\n}\n","import { Event, Response, Status } from '@sentry/types';\nimport { getGlobalObject, logger, parseRetryAfterHeader, supportsReferrerPolicy, SyncPromise } from '@sentry/utils';\n\nimport { BaseTransport } from './base';\n\nconst global = getGlobalObject();\n\n/** `fetch` based transport */\nexport class FetchTransport extends BaseTransport {\n /** Locks transport after receiving 429 response */\n private _disabledUntil: Date = new Date(Date.now());\n\n /**\n * @inheritDoc\n */\n public sendEvent(event: Event): PromiseLike {\n if (new Date(Date.now()) < this._disabledUntil) {\n return Promise.reject({\n event,\n reason: `Transport locked till ${this._disabledUntil} due to too many requests.`,\n status: 429,\n });\n }\n\n const defaultOptions: RequestInit = {\n body: JSON.stringify(event),\n method: 'POST',\n // Despite all stars in the sky saying that Edge supports old draft syntax, aka 'never', 'always', 'origin' and 'default\n // https://caniuse.com/#feat=referrer-policy\n // It doesn't. And it throw exception instead of ignoring this parameter...\n // REF: https://github.com/getsentry/raven-js/issues/1233\n referrerPolicy: (supportsReferrerPolicy() ? 'origin' : '') as ReferrerPolicy,\n };\n\n if (this.options.headers !== undefined) {\n defaultOptions.headers = this.options.headers;\n }\n\n return this._buffer.add(\n new SyncPromise((resolve, reject) => {\n global\n .fetch(this.url, defaultOptions)\n .then(response => {\n const status = Status.fromHttpCode(response.status);\n\n if (status === Status.Success) {\n resolve({ status });\n return;\n }\n\n if (status === Status.RateLimit) {\n const now = Date.now();\n this._disabledUntil = new Date(now + parseRetryAfterHeader(now, response.headers.get('Retry-After')));\n logger.warn(`Too many requests, backing off till: ${this._disabledUntil}`);\n }\n\n reject(response);\n })\n .catch(reject);\n }),\n );\n }\n}\n","import { Event, Response, Status } from '@sentry/types';\nimport { logger, parseRetryAfterHeader, SyncPromise } from '@sentry/utils';\n\nimport { BaseTransport } from './base';\n\n/** `XHR` based transport */\nexport class XHRTransport extends BaseTransport {\n /** Locks transport after receiving 429 response */\n private _disabledUntil: Date = new Date(Date.now());\n\n /**\n * @inheritDoc\n */\n public sendEvent(event: Event): PromiseLike {\n if (new Date(Date.now()) < this._disabledUntil) {\n return Promise.reject({\n event,\n reason: `Transport locked till ${this._disabledUntil} due to too many requests.`,\n status: 429,\n });\n }\n\n return this._buffer.add(\n new SyncPromise((resolve, reject) => {\n const request = new XMLHttpRequest();\n\n request.onreadystatechange = () => {\n if (request.readyState !== 4) {\n return;\n }\n\n const status = Status.fromHttpCode(request.status);\n\n if (status === Status.Success) {\n resolve({ status });\n return;\n }\n\n if (status === Status.RateLimit) {\n const now = Date.now();\n this._disabledUntil = new Date(now + parseRetryAfterHeader(now, request.getResponseHeader('Retry-After')));\n logger.warn(`Too many requests, backing off till: ${this._disabledUntil}`);\n }\n\n reject(request);\n };\n\n request.open('POST', this.url);\n for (const header in this.options.headers) {\n if (this.options.headers.hasOwnProperty(header)) {\n request.setRequestHeader(header, this.options.headers[header]);\n }\n }\n request.send(JSON.stringify(event));\n }),\n );\n }\n}\n","import { BaseBackend } from '@sentry/core';\nimport { Event, EventHint, Options, Severity, Transport } from '@sentry/types';\nimport { addExceptionMechanism, supportsFetch, SyncPromise } from '@sentry/utils';\n\nimport { eventFromString, eventFromUnknownInput } from './eventbuilder';\nimport { FetchTransport, XHRTransport } from './transports';\n\n/**\n * Configuration options for the Sentry Browser SDK.\n * @see BrowserClient for more information.\n */\nexport interface BrowserOptions extends Options {\n /**\n * A pattern for error URLs which should not be sent to Sentry.\n * To whitelist certain errors instead, use {@link Options.whitelistUrls}.\n * By default, all errors will be sent.\n */\n blacklistUrls?: Array;\n\n /**\n * A pattern for error URLs which should exclusively be sent to Sentry.\n * This is the opposite of {@link Options.blacklistUrls}.\n * By default, all errors will be sent.\n */\n whitelistUrls?: Array;\n}\n\n/**\n * The Sentry Browser SDK Backend.\n * @hidden\n */\nexport class BrowserBackend extends BaseBackend {\n /**\n * @inheritDoc\n */\n protected _setupTransport(): Transport {\n if (!this._options.dsn) {\n // We return the noop transport here in case there is no Dsn.\n return super._setupTransport();\n }\n\n const transportOptions = {\n ...this._options.transportOptions,\n dsn: this._options.dsn,\n };\n\n if (this._options.transport) {\n return new this._options.transport(transportOptions);\n }\n if (supportsFetch()) {\n return new FetchTransport(transportOptions);\n }\n return new XHRTransport(transportOptions);\n }\n\n /**\n * @inheritDoc\n */\n public eventFromException(exception: any, hint?: EventHint): PromiseLike {\n const syntheticException = (hint && hint.syntheticException) || undefined;\n const event = eventFromUnknownInput(exception, syntheticException, {\n attachStacktrace: this._options.attachStacktrace,\n });\n addExceptionMechanism(event, {\n handled: true,\n type: 'generic',\n });\n event.level = Severity.Error;\n if (hint && hint.event_id) {\n event.event_id = hint.event_id;\n }\n return SyncPromise.resolve(event);\n }\n /**\n * @inheritDoc\n */\n public eventFromMessage(message: string, level: Severity = Severity.Info, hint?: EventHint): PromiseLike {\n const syntheticException = (hint && hint.syntheticException) || undefined;\n const event = eventFromString(message, syntheticException, {\n attachStacktrace: this._options.attachStacktrace,\n });\n event.level = level;\n if (hint && hint.event_id) {\n event.event_id = hint.event_id;\n }\n return SyncPromise.resolve(event);\n }\n}\n","export const SDK_NAME = 'sentry.javascript.browser';\nexport const SDK_VERSION = '5.15.5';\n","import { API, BaseClient, Scope } from '@sentry/core';\nimport { DsnLike, Event, EventHint } from '@sentry/types';\nimport { getGlobalObject, logger } from '@sentry/utils';\n\nimport { BrowserBackend, BrowserOptions } from './backend';\nimport { SDK_NAME, SDK_VERSION } from './version';\n\n/**\n * All properties the report dialog supports\n */\nexport interface ReportDialogOptions {\n [key: string]: any;\n eventId?: string;\n dsn?: DsnLike;\n user?: {\n email?: string;\n name?: string;\n };\n lang?: string;\n title?: string;\n subtitle?: string;\n subtitle2?: string;\n labelName?: string;\n labelEmail?: string;\n labelComments?: string;\n labelClose?: string;\n labelSubmit?: string;\n errorGeneric?: string;\n errorFormEntry?: string;\n successMessage?: string;\n /** Callback after reportDialog showed up */\n onLoad?(): void;\n}\n\n/**\n * The Sentry Browser SDK Client.\n *\n * @see BrowserOptions for documentation on configuration options.\n * @see SentryClient for usage documentation.\n */\nexport class BrowserClient extends BaseClient {\n /**\n * Creates a new Browser SDK instance.\n *\n * @param options Configuration options for this SDK.\n */\n public constructor(options: BrowserOptions = {}) {\n super(BrowserBackend, options);\n }\n\n /**\n * @inheritDoc\n */\n protected _prepareEvent(event: Event, scope?: Scope, hint?: EventHint): PromiseLike {\n event.platform = event.platform || 'javascript';\n event.sdk = {\n ...event.sdk,\n name: SDK_NAME,\n packages: [\n ...((event.sdk && event.sdk.packages) || []),\n {\n name: 'npm:@sentry/browser',\n version: SDK_VERSION,\n },\n ],\n version: SDK_VERSION,\n };\n\n return super._prepareEvent(event, scope, hint);\n }\n\n /**\n * Show a report dialog to the user to send feedback to a specific event.\n *\n * @param options Set individual options for the dialog\n */\n public showReportDialog(options: ReportDialogOptions = {}): void {\n // doesn't work without a document (React Native)\n const document = getGlobalObject().document;\n if (!document) {\n return;\n }\n\n if (!this._isEnabled()) {\n logger.error('Trying to call showReportDialog with Sentry Client is disabled');\n return;\n }\n\n const dsn = options.dsn || this.getDsn();\n\n if (!options.eventId) {\n logger.error('Missing `eventId` option in showReportDialog call');\n return;\n }\n\n if (!dsn) {\n logger.error('Missing `Dsn` option in showReportDialog call');\n return;\n }\n\n const script = document.createElement('script');\n script.async = true;\n script.src = new API(dsn).getReportDialogEndpoint(options);\n\n if (options.onLoad) {\n script.onload = options.onLoad;\n }\n\n (document.head || document.body).appendChild(script);\n }\n}\n","import { addGlobalEventProcessor, getCurrentHub } from '@sentry/hub';\nimport { Event, Integration } from '@sentry/types';\nimport { getEventDescription, isMatchingPattern, logger } from '@sentry/utils';\n\n// \"Script error.\" is hard coded into browsers for errors that it can't read.\n// this is the result of a script being pulled in from an external domain and CORS.\nconst DEFAULT_IGNORE_ERRORS = [/^Script error\\.?$/, /^Javascript error: Script error\\.? on line 0$/];\n\n/** JSDoc */\ninterface InboundFiltersOptions {\n blacklistUrls?: Array;\n ignoreErrors?: Array;\n ignoreInternal?: boolean;\n whitelistUrls?: Array;\n}\n\n/** Inbound filters configurable by the user */\nexport class InboundFilters implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = InboundFilters.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'InboundFilters';\n\n public constructor(private readonly _options: InboundFiltersOptions = {}) {}\n\n /**\n * @inheritDoc\n */\n public setupOnce(): void {\n addGlobalEventProcessor((event: Event) => {\n const hub = getCurrentHub();\n if (!hub) {\n return event;\n }\n const self = hub.getIntegration(InboundFilters);\n if (self) {\n const client = hub.getClient();\n const clientOptions = client ? client.getOptions() : {};\n const options = self._mergeOptions(clientOptions);\n if (self._shouldDropEvent(event, options)) {\n return null;\n }\n }\n return event;\n });\n }\n\n /** JSDoc */\n private _shouldDropEvent(event: Event, options: InboundFiltersOptions): boolean {\n if (this._isSentryError(event, options)) {\n logger.warn(`Event dropped due to being internal Sentry Error.\\nEvent: ${getEventDescription(event)}`);\n return true;\n }\n if (this._isIgnoredError(event, options)) {\n logger.warn(\n `Event dropped due to being matched by \\`ignoreErrors\\` option.\\nEvent: ${getEventDescription(event)}`,\n );\n return true;\n }\n if (this._isBlacklistedUrl(event, options)) {\n logger.warn(\n `Event dropped due to being matched by \\`blacklistUrls\\` option.\\nEvent: ${getEventDescription(\n event,\n )}.\\nUrl: ${this._getEventFilterUrl(event)}`,\n );\n return true;\n }\n if (!this._isWhitelistedUrl(event, options)) {\n logger.warn(\n `Event dropped due to not being matched by \\`whitelistUrls\\` option.\\nEvent: ${getEventDescription(\n event,\n )}.\\nUrl: ${this._getEventFilterUrl(event)}`,\n );\n return true;\n }\n return false;\n }\n\n /** JSDoc */\n private _isSentryError(event: Event, options: InboundFiltersOptions = {}): boolean {\n if (!options.ignoreInternal) {\n return false;\n }\n\n try {\n return (\n (event &&\n event.exception &&\n event.exception.values &&\n event.exception.values[0] &&\n event.exception.values[0].type === 'SentryError') ||\n false\n );\n } catch (_oO) {\n return false;\n }\n }\n\n /** JSDoc */\n private _isIgnoredError(event: Event, options: InboundFiltersOptions = {}): boolean {\n if (!options.ignoreErrors || !options.ignoreErrors.length) {\n return false;\n }\n\n return this._getPossibleEventMessages(event).some(message =>\n // Not sure why TypeScript complains here...\n (options.ignoreErrors as Array).some(pattern => isMatchingPattern(message, pattern)),\n );\n }\n\n /** JSDoc */\n private _isBlacklistedUrl(event: Event, options: InboundFiltersOptions = {}): boolean {\n // TODO: Use Glob instead?\n if (!options.blacklistUrls || !options.blacklistUrls.length) {\n return false;\n }\n const url = this._getEventFilterUrl(event);\n return !url ? false : options.blacklistUrls.some(pattern => isMatchingPattern(url, pattern));\n }\n\n /** JSDoc */\n private _isWhitelistedUrl(event: Event, options: InboundFiltersOptions = {}): boolean {\n // TODO: Use Glob instead?\n if (!options.whitelistUrls || !options.whitelistUrls.length) {\n return true;\n }\n const url = this._getEventFilterUrl(event);\n return !url ? true : options.whitelistUrls.some(pattern => isMatchingPattern(url, pattern));\n }\n\n /** JSDoc */\n private _mergeOptions(clientOptions: InboundFiltersOptions = {}): InboundFiltersOptions {\n return {\n blacklistUrls: [...(this._options.blacklistUrls || []), ...(clientOptions.blacklistUrls || [])],\n ignoreErrors: [\n ...(this._options.ignoreErrors || []),\n ...(clientOptions.ignoreErrors || []),\n ...DEFAULT_IGNORE_ERRORS,\n ],\n ignoreInternal: typeof this._options.ignoreInternal !== 'undefined' ? this._options.ignoreInternal : true,\n whitelistUrls: [...(this._options.whitelistUrls || []), ...(clientOptions.whitelistUrls || [])],\n };\n }\n\n /** JSDoc */\n private _getPossibleEventMessages(event: Event): string[] {\n if (event.message) {\n return [event.message];\n }\n if (event.exception) {\n try {\n const { type = '', value = '' } = (event.exception.values && event.exception.values[0]) || {};\n return [`${value}`, `${type}: ${value}`];\n } catch (oO) {\n logger.error(`Cannot extract message for event ${getEventDescription(event)}`);\n return [];\n }\n }\n return [];\n }\n\n /** JSDoc */\n private _getEventFilterUrl(event: Event): string | null {\n try {\n if (event.stacktrace) {\n const frames = event.stacktrace.frames;\n return (frames && frames[frames.length - 1].filename) || null;\n }\n if (event.exception) {\n const frames =\n event.exception.values && event.exception.values[0].stacktrace && event.exception.values[0].stacktrace.frames;\n return (frames && frames[frames.length - 1].filename) || null;\n }\n return null;\n } catch (oO) {\n logger.error(`Cannot extract url for event ${getEventDescription(event)}`);\n return null;\n }\n }\n}\n","import { Integration, WrappedFunction } from '@sentry/types';\nimport { fill, getFunctionName, getGlobalObject } from '@sentry/utils';\n\nimport { wrap } from '../helpers';\n\ntype XMLHttpRequestProp = 'onload' | 'onerror' | 'onprogress' | 'onreadystatechange';\n\n/** Wrap timer functions and event targets to catch errors and provide better meta data */\nexport class TryCatch implements Integration {\n /** JSDoc */\n private _ignoreOnError: number = 0;\n\n /**\n * @inheritDoc\n */\n public name: string = TryCatch.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'TryCatch';\n\n /** JSDoc */\n private _wrapTimeFunction(original: () => void): () => number {\n return function(this: any, ...args: any[]): number {\n const originalCallback = args[0];\n args[0] = wrap(originalCallback, {\n mechanism: {\n data: { function: getFunctionName(original) },\n handled: true,\n type: 'instrument',\n },\n });\n return original.apply(this, args);\n };\n }\n\n /** JSDoc */\n private _wrapRAF(original: any): (callback: () => void) => any {\n return function(this: any, callback: () => void): () => void {\n return original(\n wrap(callback, {\n mechanism: {\n data: {\n function: 'requestAnimationFrame',\n handler: getFunctionName(original),\n },\n handled: true,\n type: 'instrument',\n },\n }),\n );\n };\n }\n\n /** JSDoc */\n private _wrapEventTarget(target: string): void {\n const global = getGlobalObject() as { [key: string]: any };\n const proto = global[target] && global[target].prototype;\n\n if (!proto || !proto.hasOwnProperty || !proto.hasOwnProperty('addEventListener')) {\n return;\n }\n\n fill(proto, 'addEventListener', function(\n original: () => void,\n ): (eventName: string, fn: EventListenerObject, options?: boolean | AddEventListenerOptions) => void {\n return function(\n this: any,\n eventName: string,\n fn: EventListenerObject,\n options?: boolean | AddEventListenerOptions,\n ): (eventName: string, fn: EventListenerObject, capture?: boolean, secure?: boolean) => void {\n try {\n // tslint:disable-next-line:no-unbound-method strict-type-predicates\n if (typeof fn.handleEvent === 'function') {\n fn.handleEvent = wrap(fn.handleEvent.bind(fn), {\n mechanism: {\n data: {\n function: 'handleEvent',\n handler: getFunctionName(fn),\n target,\n },\n handled: true,\n type: 'instrument',\n },\n });\n }\n } catch (err) {\n // can sometimes get 'Permission denied to access property \"handle Event'\n }\n\n return original.call(\n this,\n eventName,\n wrap((fn as any) as WrappedFunction, {\n mechanism: {\n data: {\n function: 'addEventListener',\n handler: getFunctionName(fn),\n target,\n },\n handled: true,\n type: 'instrument',\n },\n }),\n options,\n );\n };\n });\n\n fill(proto, 'removeEventListener', function(\n original: () => void,\n ): (this: any, eventName: string, fn: EventListenerObject, options?: boolean | EventListenerOptions) => () => void {\n return function(\n this: any,\n eventName: string,\n fn: EventListenerObject,\n options?: boolean | EventListenerOptions,\n ): () => void {\n let callback = (fn as any) as WrappedFunction;\n try {\n callback = callback && (callback.__sentry_wrapped__ || callback);\n } catch (e) {\n // ignore, accessing __sentry_wrapped__ will throw in some Selenium environments\n }\n return original.call(this, eventName, callback, options);\n };\n });\n }\n\n /** JSDoc */\n private _wrapXHR(originalSend: () => void): () => void {\n return function(this: XMLHttpRequest, ...args: any[]): void {\n const xhr = this; // tslint:disable-line:no-this-assignment\n const xmlHttpRequestProps: XMLHttpRequestProp[] = ['onload', 'onerror', 'onprogress', 'onreadystatechange'];\n\n xmlHttpRequestProps.forEach(prop => {\n if (prop in xhr && typeof xhr[prop] === 'function') {\n fill(xhr, prop, function(original: WrappedFunction): Function {\n const wrapOptions = {\n mechanism: {\n data: {\n function: prop,\n handler: getFunctionName(original),\n },\n handled: true,\n type: 'instrument',\n },\n };\n\n // If Instrument integration has been called before TryCatch, get the name of original function\n if (original.__sentry_original__) {\n wrapOptions.mechanism.data.handler = getFunctionName(original.__sentry_original__);\n }\n\n // Otherwise wrap directly\n return wrap(original, wrapOptions);\n });\n }\n });\n\n return originalSend.apply(this, args);\n };\n }\n\n /**\n * Wrap timer functions and event targets to catch errors\n * and provide better metadata.\n */\n public setupOnce(): void {\n this._ignoreOnError = this._ignoreOnError;\n\n const global = getGlobalObject();\n\n fill(global, 'setTimeout', this._wrapTimeFunction.bind(this));\n fill(global, 'setInterval', this._wrapTimeFunction.bind(this));\n fill(global, 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isString,\n logger,\n} from '@sentry/utils';\n\nimport { eventFromUnknownInput } from '../eventbuilder';\nimport { shouldIgnoreOnError } from '../helpers';\n\n/** JSDoc */\ninterface GlobalHandlersIntegrations {\n onerror: boolean;\n onunhandledrejection: boolean;\n}\n\n/** Global handlers */\nexport class GlobalHandlers implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = GlobalHandlers.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'GlobalHandlers';\n\n /** JSDoc */\n private readonly _options: GlobalHandlersIntegrations;\n\n /** JSDoc */\n private _onErrorHandlerInstalled: boolean = false;\n\n /** JSDoc */\n private _onUnhandledRejectionHandlerInstalled: boolean = false;\n\n /** JSDoc */\n public constructor(options?: GlobalHandlersIntegrations) {\n this._options = {\n onerror: true,\n onunhandledrejection: true,\n ...options,\n };\n }\n /**\n * @inheritDoc\n */\n public setupOnce(): void {\n Error.stackTraceLimit = 50;\n\n if 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this._enhanceEventWithInitialFrame(\n eventFromUnknownInput(error, undefined, {\n attachStacktrace: client && client.getOptions().attachStacktrace,\n rejection: false,\n }),\n data.url,\n data.line,\n data.column,\n );\n\n addExceptionMechanism(event, {\n handled: false,\n type: 'onerror',\n });\n\n currentHub.captureEvent(event, {\n originalException: error,\n });\n },\n type: 'error',\n });\n\n this._onErrorHandlerInstalled = true;\n }\n\n /** JSDoc */\n private _installGlobalOnUnhandledRejectionHandler(): void {\n if (this._onUnhandledRejectionHandlerInstalled) {\n return;\n }\n\n addInstrumentationHandler({\n callback: (e: any) => {\n let error = e;\n\n // dig the object of the rejection out of known event types\n try {\n // PromiseRejectionEvents store the object of the rejection under 'reason'\n // see https://developer.mozilla.org/en-US/docs/Web/API/PromiseRejectionEvent\n if ('reason' in e) {\n error = e.reason;\n }\n // something, somewhere, (likely a browser extension) 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true,\n });\n\n event.level = Severity.Error;\n\n addExceptionMechanism(event, {\n handled: false,\n type: 'onunhandledrejection',\n });\n\n currentHub.captureEvent(event, {\n originalException: error,\n });\n\n return;\n },\n type: 'unhandledrejection',\n });\n\n this._onUnhandledRejectionHandlerInstalled = true;\n }\n\n /**\n * This function creates a stack from an old, error-less onerror handler.\n */\n private _eventFromIncompleteOnError(msg: any, url: any, line: any, column: any): Event {\n const ERROR_TYPES_RE = /^(?:[Uu]ncaught (?:exception: )?)?(?:((?:Eval|Internal|Range|Reference|Syntax|Type|URI|)Error): )?(.*)$/i;\n\n // If 'message' is ErrorEvent, get real message from inside\n let message = isErrorEvent(msg) ? msg.message : msg;\n let name;\n\n if (isString(message)) {\n const groups = message.match(ERROR_TYPES_RE);\n if (groups) {\n name = groups[1];\n message = groups[2];\n }\n }\n\n const event = {\n exception: {\n values: [\n {\n type: name || 'Error',\n value: message,\n },\n ],\n },\n };\n\n return this._enhanceEventWithInitialFrame(event, url, line, column);\n }\n\n /**\n * This function creates an Event from an TraceKitStackTrace that has part of it missing.\n */\n private _eventFromIncompleteRejection(error: any): Event {\n return {\n exception: {\n values: [\n {\n type: 'UnhandledRejection',\n value: `Non-Error promise rejection captured with value: ${error}`,\n },\n ],\n },\n };\n }\n\n /** JSDoc */\n private _enhanceEventWithInitialFrame(event: Event, url: any, line: any, column: any): Event {\n event.exception = event.exception || {};\n event.exception.values = event.exception.values || [];\n event.exception.values[0] = event.exception.values[0] || {};\n event.exception.values[0].stacktrace = event.exception.values[0].stacktrace || {};\n event.exception.values[0].stacktrace.frames = event.exception.values[0].stacktrace.frames || [];\n\n const colno = isNaN(parseInt(column, 10)) ? undefined : column;\n const lineno = isNaN(parseInt(line, 10)) ? undefined : line;\n const filename = isString(url) && url.length > 0 ? url : getLocationHref();\n\n if (event.exception.values[0].stacktrace.frames.length === 0) {\n event.exception.values[0].stacktrace.frames.push({\n colno,\n filename,\n function: '?',\n in_app: true,\n lineno,\n });\n }\n\n return event;\n }\n}\n","import { addGlobalEventProcessor, getCurrentHub } from '@sentry/core';\nimport { Event, EventHint, Exception, ExtendedError, Integration } from '@sentry/types';\nimport { isInstanceOf } from '@sentry/utils';\n\nimport { exceptionFromStacktrace } from '../parsers';\nimport { computeStackTrace } from '../tracekit';\n\nconst DEFAULT_KEY = 'cause';\nconst DEFAULT_LIMIT = 5;\n\n/** Adds SDK info to an event. */\nexport class LinkedErrors implements Integration {\n /**\n * @inheritDoc\n */\n public readonly name: string = LinkedErrors.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'LinkedErrors';\n\n /**\n * @inheritDoc\n */\n private 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this._level=t,this._notifyScopeListeners(),this},t.prototype.setTransaction=function(t){return this._transaction=t,this._span&&(this._span.transaction=t),this._notifyScopeListeners(),this},t.prototype.setContext=function(t,e){var n;return this._context=nt.a({},this._context,((n={})[t]=e,n)),this._notifyScopeListeners(),this},t.prototype.setSpan=function(t){return this._span=t,this._notifyScopeListeners(),this},t.prototype.getSpan=function(){return this._span},t.clone=function(e){var n=new t;return e&&(n._breadcrumbs=nt.d(e._breadcrumbs),n._tags=nt.a({},e._tags),n._extra=nt.a({},e._extra),n._context=nt.a({},e._context),n._user=e._user,n._level=e._level,n._span=e._span,n._transaction=e._transaction,n._fingerprint=e._fingerprint,n._eventProcessors=nt.d(e._eventProcessors)),n},t.prototype.clear=function(){return this._breadcrumbs=[],this._tags={},this._extra={},this._user={},this._context={},this._level=void 0,this._transaction=void 0,this._fingerprint=void 0,this._span=void 0,this._notifyScopeListeners(),this},t.prototype.addBreadcrumb=function(t,e){var n=nt.a({timestamp:Object(ft.l)()},t);return this._breadcrumbs=void 0!==e&&e>=0?nt.d(this._breadcrumbs,[n]).slice(-e):nt.d(this._breadcrumbs,[n]),this._notifyScopeListeners(),this},t.prototype.clearBreadcrumbs=function(){return this._breadcrumbs=[],this._notifyScopeListeners(),this},t.prototype._applyFingerprint=function(t){t.fingerprint=t.fingerprint?Array.isArray(t.fingerprint)?t.fingerprint:[t.fingerprint]:[],this._fingerprint&&(t.fingerprint=t.fingerprint.concat(this._fingerprint)),t.fingerprint&&!t.fingerprint.length&&delete t.fingerprint},t.prototype.applyToEvent=function(t,e){return this._extra&&Object.keys(this._extra).length&&(t.extra=nt.a({},this._extra,t.extra)),this._tags&&Object.keys(this._tags).length&&(t.tags=nt.a({},this._tags,t.tags)),this._user&&Object.keys(this._user).length&&(t.user=nt.a({},this._user,t.user)),this._context&&Object.keys(this._context).length&&(t.contexts=nt.a({},this._context,t.contexts)),this._level&&(t.level=this._level),this._transaction&&(t.transaction=this._transaction),this._span&&(t.contexts=nt.a({trace:this._span.getTraceContext()},t.contexts)),this._applyFingerprint(t),t.breadcrumbs=nt.d(t.breadcrumbs||[],this._breadcrumbs),t.breadcrumbs=t.breadcrumbs.length>0?t.breadcrumbs:void 0,this._notifyEventProcessors(nt.d(r(),this._eventProcessors),t,e)},t}(),ht=n("HhP1"),dt=function(){function t(t,e,n){void 0===e&&(e=new pt),void 0===n&&(n=3),this._version=n,this._stack=[],this._stack.push({client:t,scope:e})}return t.prototype._invokeClient=function(t){for(var e,n=[],r=1;r0?t[t.length-1].scope:void 0);return this.getStack().push({client:this.getClient(),scope:e}),e},t.prototype.popScope=function(){return void 0!==this.getStack().pop()},t.prototype.withScope=function(t){var e=this.pushScope();try{t(e)}finally{this.popScope()}},t.prototype.getClient=function(){return this.getStackTop().client},t.prototype.getScope=function(){return this.getStackTop().scope},t.prototype.getStack=function(){return this._stack},t.prototype.getStackTop=function(){return this._stack[this._stack.length-1]},t.prototype.captureException=function(t,e){var n=this._lastEventId=Object(ft.m)(),r=e;if(!e){var o=void 0;try{throw new Error("Sentry syntheticException")}catch(t){o=t}r={originalException:t,syntheticException:o}}return this._invokeClient("captureException",t,nt.a({},r,{event_id:n})),n},t.prototype.captureMessage=function(t,e,n){var r=this._lastEventId=Object(ft.m)(),o=n;if(!n){var i=void 0;try{throw new Error(t)}catch(t){i=t}o={originalException:t,syntheticException:i}}return 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n=this.getStackTop();n.scope&&n.scope.setTag(t,e)},t.prototype.setExtra=function(t,e){var n=this.getStackTop();n.scope&&n.scope.setExtra(t,e)},t.prototype.setContext=function(t,e){var n=this.getStackTop();n.scope&&n.scope.setContext(t,e)},t.prototype.configureScope=function(t){var e=this.getStackTop();e.scope&&e.client&&t(e.scope)},t.prototype.run=function(t){var e=a(this);try{t(this)}finally{a(e)}},t.prototype.getIntegration=function(t){var e=this.getClient();if(!e)return null;try{return e.getIntegration(t)}catch(e){return ht.a.warn("Cannot retrieve integration "+t.id+" from the current Hub"),null}},t.prototype.startSpan=function(t,e){return void 0===e&&(e=!1),this._callExtensionMethod("startSpan",t,e)},t.prototype.traceHeaders=function(){return this._callExtensionMethod("traceHeaders")},t.prototype._callExtensionMethod=function(t){for(var e=[],n=1;n1&&(l=p.slice(0,-1).join("/"),f=p.pop()),this._fromComponents({host:c,pass:a,path:l,projectId:f,port:s,protocol:r,user:o})},t.prototype._fromComponents=function(t){this.protocol=t.protocol,this.user=t.user,this.pass=t.pass||"",this.host=t.host,this.port=t.port||"",this.path=t.path||"",this.projectId=t.projectId},t.prototype._validate=function(){var t=this;if(["protocol","user","host","projectId"].forEach((function(e){if(!t[e])throw new vt("Invalid Dsn")})),"http"!==this.protocol&&"https"!==this.protocol)throw new vt("Invalid Dsn");if(this.port&&isNaN(parseInt(this.port,10)))throw new vt("Invalid Dsn")},t}(),mt=n("tZ4O"),bt=function(){function t(t){this.dsn=t,this._dsnObject=new yt(t)}return t.prototype.getDsn=function(){return this._dsnObject},t.prototype.getStoreEndpoint=function(){return""+this._getBaseUrl()+this.getStoreEndpointPath()},t.prototype.getStoreEndpointWithUrlEncodedAuth=function(){var t={sentry_key:this._dsnObject.user,sentry_version:"7"};return 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r=this,o=e&&e.event_id;return this._processing=!0,this._processEvent(t,e,n).then((function(t){o=t&&t.event_id,r._processing=!1})).then(null,(function(t){ht.a.error(t),r._processing=!1})),o},t.prototype.getDsn=function(){return this._dsn},t.prototype.getOptions=function(){return this._options},t.prototype.flush=function(t){var e=this;return this._isClientProcessing(t).then((function(n){return clearInterval(n.interval),e._getBackend().getTransport().close(t).then((function(t){return n.ready&&t}))}))},t.prototype.close=function(t){var e=this;return this.flush(t).then((function(t){return e.getOptions().enabled=!1,t}))},t.prototype.setupIntegrations=function(){this._isEnabled()&&(this._integrations=w(this._options))},t.prototype.getIntegration=function(t){try{return this._integrations[t.id]||null}catch(e){return ht.a.warn("Cannot retrieve integration "+t.id+" from the current Client"),null}},t.prototype._isClientProcessing=function(t){var e=this;return new lt((function(n){var 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\t__webpack_require__.oe = function(err) { console.error(err); throw err; };\n\n \tvar jsonpArray = window[\"webpackJsonp\"] = window[\"webpackJsonp\"] || [];\n \tvar oldJsonpFunction = jsonpArray.push.bind(jsonpArray);\n \tjsonpArray.push = webpackJsonpCallback;\n \tjsonpArray = jsonpArray.slice();\n \tfor(var i = 0; i < jsonpArray.length; i++) webpackJsonpCallback(jsonpArray[i]);\n \tvar parentJsonpFunction = oldJsonpFunction;\n\n\n \t// Load entry module and return exports\n \treturn __webpack_require__(__webpack_require__.s = 0);\n","import { Event, Integration, StackFrame, WrappedFunction } from '@sentry/types';\n\nimport { isString } from './is';\nimport { snipLine } from './string';\n\n/** Internal */\ninterface SentryGlobal {\n Sentry?: {\n Integrations?: Integration[];\n };\n SENTRY_ENVIRONMENT?: string;\n SENTRY_DSN?: string;\n SENTRY_RELEASE?: {\n id?: string;\n };\n __SENTRY__: {\n globalEventProcessors: any;\n hub: any;\n logger: any;\n };\n}\n\n/**\n * Requires a module which is protected against bundler minification.\n *\n * @param request The module path to resolve\n */\nexport function dynamicRequire(mod: any, request: string): any {\n // tslint:disable-next-line: no-unsafe-any\n return mod.require(request);\n}\n\n/**\n * Checks whether we're in the Node.js or Browser environment\n *\n * @returns Answer to given question\n */\nexport function isNodeEnv(): boolean {\n // tslint:disable:strict-type-predicates\n return Object.prototype.toString.call(typeof process !== 'undefined' ? process : 0) === '[object process]';\n}\n\nconst fallbackGlobalObject = {};\n\n/**\n * Safely get global scope object\n *\n * @returns Global scope object\n */\nexport function getGlobalObject(): T & SentryGlobal {\n return (isNodeEnv()\n ? global\n : typeof window !== 'undefined'\n ? window\n : typeof self !== 'undefined'\n ? self\n : fallbackGlobalObject) as T & SentryGlobal;\n}\n// tslint:enable:strict-type-predicates\n\n/**\n * Extended Window interface that allows for Crypto API usage in IE browsers\n */\ninterface MsCryptoWindow extends Window {\n msCrypto?: Crypto;\n}\n\n/**\n * UUID4 generator\n *\n * @returns string Generated UUID4.\n */\nexport function uuid4(): string {\n const global = getGlobalObject() as MsCryptoWindow;\n const crypto = global.crypto || global.msCrypto;\n\n if (!(crypto === void 0) && crypto.getRandomValues) {\n // Use window.crypto API if available\n const arr = new Uint16Array(8);\n crypto.getRandomValues(arr);\n\n // set 4 in byte 7\n // tslint:disable-next-line:no-bitwise\n arr[3] = (arr[3] & 0xfff) | 0x4000;\n // set 2 most significant bits of byte 9 to '10'\n // tslint:disable-next-line:no-bitwise\n arr[4] = (arr[4] & 0x3fff) | 0x8000;\n\n const pad = (num: number): string => {\n let v = num.toString(16);\n while (v.length < 4) {\n v = `0${v}`;\n }\n return v;\n };\n\n return (\n pad(arr[0]) + pad(arr[1]) + pad(arr[2]) + pad(arr[3]) + pad(arr[4]) + pad(arr[5]) + pad(arr[6]) + pad(arr[7])\n );\n }\n // http://stackoverflow.com/questions/105034/how-to-create-a-guid-uuid-in-javascript/2117523#2117523\n return 'xxxxxxxxxxxx4xxxyxxxxxxxxxxxxxxx'.replace(/[xy]/g, c => {\n // tslint:disable-next-line:no-bitwise\n const r = (Math.random() * 16) | 0;\n // tslint:disable-next-line:no-bitwise\n const v = c === 'x' ? r : (r & 0x3) | 0x8;\n return v.toString(16);\n });\n}\n\n/**\n * Parses string form of URL into an object\n * // borrowed from https://tools.ietf.org/html/rfc3986#appendix-B\n * // intentionally using regex and not href parsing trick because React Native and other\n * // environments where DOM might not be available\n * @returns parsed URL object\n */\nexport function parseUrl(\n url: string,\n): {\n host?: string;\n path?: string;\n protocol?: string;\n relative?: string;\n} {\n if (!url) {\n return {};\n }\n\n const match = url.match(/^(([^:\\/?#]+):)?(\\/\\/([^\\/?#]*))?([^?#]*)(\\?([^#]*))?(#(.*))?$/);\n\n if (!match) {\n return {};\n }\n\n // coerce to undefined values to empty string so we don't get 'undefined'\n const query = match[6] || '';\n const fragment = match[8] || '';\n return {\n host: match[4],\n path: match[5],\n protocol: match[2],\n relative: match[5] + query + fragment, // everything minus origin\n };\n}\n\n/**\n * Extracts either message or type+value from an event that can be used for user-facing logs\n * @returns event's description\n */\nexport function getEventDescription(event: Event): string {\n if (event.message) {\n return event.message;\n }\n if (event.exception && event.exception.values && event.exception.values[0]) {\n const exception = event.exception.values[0];\n\n if (exception.type && exception.value) {\n return `${exception.type}: ${exception.value}`;\n }\n return exception.type || exception.value || event.event_id || '';\n }\n return event.event_id || '';\n}\n\n/** JSDoc */\ninterface ExtensibleConsole extends Console {\n [key: string]: any;\n}\n\n/** JSDoc */\nexport function consoleSandbox(callback: () => any): any {\n const global = getGlobalObject();\n const levels = ['debug', 'info', 'warn', 'error', 'log', 'assert'];\n\n if (!('console' in global)) {\n return callback();\n }\n\n const originalConsole = global.console as ExtensibleConsole;\n const wrappedLevels: { [key: string]: any } = {};\n\n // Restore all wrapped console methods\n levels.forEach(level => {\n if (level in global.console && (originalConsole[level] as WrappedFunction).__sentry_original__) {\n wrappedLevels[level] = originalConsole[level] as WrappedFunction;\n originalConsole[level] = (originalConsole[level] as WrappedFunction).__sentry_original__;\n }\n });\n\n // Perform callback manipulations\n const result = callback();\n\n // Revert restoration to wrapped state\n Object.keys(wrappedLevels).forEach(level => {\n originalConsole[level] = wrappedLevels[level];\n });\n\n return result;\n}\n\n/**\n * Adds exception values, type and value to an synthetic Exception.\n * @param event The event to modify.\n * @param value Value of the exception.\n * @param type Type of the exception.\n * @hidden\n */\nexport function addExceptionTypeValue(event: Event, value?: string, type?: string): void {\n event.exception = event.exception || {};\n event.exception.values = event.exception.values || [];\n event.exception.values[0] = event.exception.values[0] || {};\n event.exception.values[0].value = event.exception.values[0].value || value || '';\n event.exception.values[0].type = event.exception.values[0].type || type || 'Error';\n}\n\n/**\n * Adds exception mechanism to a given event.\n * @param event The event to modify.\n * @param mechanism Mechanism of the mechanism.\n * @hidden\n */\nexport function addExceptionMechanism(\n event: Event,\n mechanism: {\n [key: string]: any;\n } = {},\n): void {\n // TODO: Use real type with `keyof Mechanism` thingy and maybe make it better?\n try {\n // @ts-ignore\n // tslint:disable:no-non-null-assertion\n event.exception!.values![0].mechanism = event.exception!.values![0].mechanism || {};\n Object.keys(mechanism).forEach(key => {\n // @ts-ignore\n event.exception!.values![0].mechanism[key] = mechanism[key];\n });\n } catch (_oO) {\n // no-empty\n }\n}\n\n/**\n * A safe form of location.href\n */\nexport function getLocationHref(): string {\n try {\n return document.location.href;\n } catch (oO) {\n return '';\n }\n}\n\n/**\n * Given a child DOM element, returns a query-selector statement describing that\n * and its ancestors\n * e.g. [HTMLElement] => body > div > input#foo.btn[name=baz]\n * @returns generated DOM path\n */\nexport function htmlTreeAsString(elem: unknown): string {\n type SimpleNode = {\n parentNode: SimpleNode;\n } | null;\n\n // try/catch both:\n // - accessing event.target (see getsentry/raven-js#838, #768)\n // - `htmlTreeAsString` because it's complex, and just accessing the DOM incorrectly\n // - can throw an exception in some circumstances.\n try {\n let currentElem = elem as SimpleNode;\n const MAX_TRAVERSE_HEIGHT = 5;\n const MAX_OUTPUT_LEN = 80;\n const out = [];\n let height = 0;\n let len = 0;\n const separator = ' > ';\n const sepLength = separator.length;\n let nextStr;\n\n while (currentElem && height++ < MAX_TRAVERSE_HEIGHT) {\n nextStr = _htmlElementAsString(currentElem);\n // bail out if\n // - nextStr is the 'html' element\n // - the length of the string that would be created exceeds MAX_OUTPUT_LEN\n // (ignore this limit if we are on the first iteration)\n if (nextStr === 'html' || (height > 1 && len + out.length * sepLength + nextStr.length >= MAX_OUTPUT_LEN)) {\n break;\n }\n\n out.push(nextStr);\n\n len += nextStr.length;\n currentElem = currentElem.parentNode;\n }\n\n return out.reverse().join(separator);\n } catch (_oO) {\n return '';\n }\n}\n\n/**\n * Returns a simple, query-selector representation of a DOM element\n * e.g. [HTMLElement] => input#foo.btn[name=baz]\n * @returns generated DOM path\n */\nfunction _htmlElementAsString(el: unknown): string {\n const elem = el as {\n getAttribute(key: string): string; // tslint:disable-line:completed-docs\n tagName?: string;\n id?: string;\n className?: string;\n };\n\n const out = [];\n let className;\n let classes;\n let key;\n let attr;\n let i;\n\n if (!elem || !elem.tagName) {\n return '';\n }\n\n out.push(elem.tagName.toLowerCase());\n if (elem.id) {\n out.push(`#${elem.id}`);\n }\n\n className = elem.className;\n if (className && isString(className)) {\n classes = className.split(/\\s+/);\n for (i = 0; i < classes.length; i++) {\n out.push(`.${classes[i]}`);\n }\n }\n const attrWhitelist = ['type', 'name', 'title', 'alt'];\n for (i = 0; i < attrWhitelist.length; i++) {\n key = attrWhitelist[i];\n attr = elem.getAttribute(key);\n if (attr) {\n out.push(`[${key}=\"${attr}\"]`);\n }\n }\n return out.join('');\n}\n\nconst INITIAL_TIME = Date.now();\nlet prevNow = 0;\n\n/**\n * Cross platform compatible partial performance implementation\n */\ninterface CrossPlatformPerformance {\n /**\n * Returns the current timestamp in ms\n */\n now(): number;\n timeOrigin: number;\n}\n\nconst performanceFallback: CrossPlatformPerformance = {\n now(): number {\n let now = Date.now() - INITIAL_TIME;\n if (now < prevNow) {\n now = prevNow;\n }\n prevNow = now;\n return now;\n },\n timeOrigin: INITIAL_TIME,\n};\n\nexport const crossPlatformPerformance: CrossPlatformPerformance = (() => {\n if (isNodeEnv()) {\n try {\n const perfHooks = dynamicRequire(module, 'perf_hooks') as { performance: CrossPlatformPerformance };\n return perfHooks.performance;\n } catch (_) {\n return performanceFallback;\n }\n }\n\n if (getGlobalObject().performance) {\n // Polyfill for performance.timeOrigin.\n //\n // While performance.timing.navigationStart is deprecated in favor of performance.timeOrigin, performance.timeOrigin\n // is not as widely supported. Namely, performance.timeOrigin is undefined in Safari as of writing.\n // tslint:disable-next-line:strict-type-predicates\n if (performance.timeOrigin === undefined) {\n // As of writing, performance.timing is not available in Web Workers in mainstream browsers, so it is not always a\n // valid fallback. In the absence of a initial time provided by the browser, fallback to INITIAL_TIME.\n // @ts-ignore\n // tslint:disable-next-line:deprecation\n performance.timeOrigin = (performance.timing && performance.timing.navigationStart) || INITIAL_TIME;\n }\n }\n\n return getGlobalObject().performance || performanceFallback;\n})();\n\n/**\n * Returns a timestamp in seconds with milliseconds precision since the UNIX epoch calculated with the monotonic clock.\n */\nexport function timestampWithMs(): number {\n return (crossPlatformPerformance.timeOrigin + crossPlatformPerformance.now()) / 1000;\n}\n\n// https://semver.org/#is-there-a-suggested-regular-expression-regex-to-check-a-semver-string\nconst SEMVER_REGEXP = /^(0|[1-9]\\d*)\\.(0|[1-9]\\d*)\\.(0|[1-9]\\d*)(?:-((?:0|[1-9]\\d*|\\d*[a-zA-Z-][0-9a-zA-Z-]*)(?:\\.(?:0|[1-9]\\d*|\\d*[a-zA-Z-][0-9a-zA-Z-]*))*))?(?:\\+([0-9a-zA-Z-]+(?:\\.[0-9a-zA-Z-]+)*))?$/;\n\n/**\n * Represents Semantic Versioning object\n */\ninterface SemVer {\n major?: number;\n minor?: number;\n patch?: number;\n prerelease?: string;\n buildmetadata?: string;\n}\n\n/**\n * Parses input into a SemVer interface\n * @param input string representation of a semver version\n */\nexport function parseSemver(input: string): SemVer {\n const match = input.match(SEMVER_REGEXP) || [];\n const major = parseInt(match[1], 10);\n const minor = parseInt(match[2], 10);\n const patch = parseInt(match[3], 10);\n return {\n buildmetadata: match[5],\n major: isNaN(major) ? undefined : major,\n minor: isNaN(minor) ? undefined : minor,\n patch: isNaN(patch) ? undefined : patch,\n prerelease: match[4],\n };\n}\n\nconst defaultRetryAfter = 60 * 1000; // 60 seconds\n\n/**\n * Extracts Retry-After value from the request header or returns default value\n * @param now current unix timestamp\n * @param header string representation of 'Retry-After' header\n */\nexport function parseRetryAfterHeader(now: number, header?: string | number | null): number {\n if (!header) {\n return defaultRetryAfter;\n }\n\n const headerDelay = parseInt(`${header}`, 10);\n if (!isNaN(headerDelay)) {\n return headerDelay * 1000;\n }\n\n const headerDate = Date.parse(`${header}`);\n if (!isNaN(headerDate)) {\n return headerDate - now;\n }\n\n return defaultRetryAfter;\n}\n\nconst defaultFunctionName = '';\n\n/**\n * Safely extract function name from itself\n */\nexport function getFunctionName(fn: unknown): string {\n try {\n if (!fn || typeof fn !== 'function') {\n return defaultFunctionName;\n }\n return fn.name || defaultFunctionName;\n } catch (e) {\n // Just accessing custom props in some Selenium environments\n // can cause a \"Permission denied\" exception (see raven-js#495).\n return defaultFunctionName;\n }\n}\n\n/**\n * This function adds context (pre/post/line) lines to the provided frame\n *\n * @param lines string[] containing all lines\n * @param frame StackFrame that will be mutated\n * @param linesOfContext number of context lines we want to add pre/post\n */\nexport function addContextToFrame(lines: string[], frame: StackFrame, linesOfContext: number = 5): void {\n const lineno = frame.lineno || 0;\n const maxLines = lines.length;\n const sourceLine = Math.max(Math.min(maxLines, lineno - 1), 0);\n\n frame.pre_context = lines\n .slice(Math.max(0, sourceLine - linesOfContext), sourceLine)\n .map((line: string) => snipLine(line, 0));\n\n frame.context_line = snipLine(lines[Math.min(maxLines - 1, sourceLine)], frame.colno || 0);\n\n frame.post_context = lines\n .slice(Math.min(sourceLine + 1, maxLines), sourceLine + 1 + linesOfContext)\n .map((line: string) => snipLine(line, 0));\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./NetLogo.js\") );\n\t\t\t}, \"route-NetLogo\");\n\t\t}\n\n\t\texport default Async(load);\n\t","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./VlDiGeometria.js\") );\n\t\t\t}, \"route-VlDiGeometria\");\n\t\t}\n\n\t\texport default Async(load);\n\t","// tslint:disable:no-unsafe-any\n/**\n * Memo class used for decycle json objects. Uses WeakSet if available otherwise array.\n */\nexport class Memo {\n /** Determines if WeakSet is available */\n private readonly _hasWeakSet: boolean;\n /** Either WeakSet or Array */\n private readonly _inner: any;\n\n public constructor() {\n // tslint:disable-next-line\n this._hasWeakSet = typeof WeakSet === 'function';\n this._inner = this._hasWeakSet ? new WeakSet() : [];\n }\n\n /**\n * Sets obj to remember.\n * @param obj Object to remember\n */\n public memoize(obj: any): boolean {\n if (this._hasWeakSet) {\n if (this._inner.has(obj)) {\n return true;\n }\n this._inner.add(obj);\n return false;\n }\n // tslint:disable-next-line:prefer-for-of\n for (let i = 0; i < this._inner.length; i++) {\n const value = this._inner[i];\n if (value === obj) {\n return true;\n }\n }\n this._inner.push(obj);\n return false;\n }\n\n /**\n * Removes object from internal storage.\n * @param obj Object to forget\n */\n public unmemoize(obj: any): void {\n if (this._hasWeakSet) {\n this._inner.delete(obj);\n } else {\n for (let i = 0; i < this._inner.length; i++) {\n if (this._inner[i] === obj) {\n this._inner.splice(i, 1);\n break;\n }\n }\n }\n }\n}\n","import {createContext} from \"preact\";\n\nexport default createContext(\"White\");\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./BasiDiDati.js\") );\n\t\t\t}, \"route-BasiDiDati\");\n\t\t}\n\n\t\texport default Async(load);\n\t","/**\n * Checks whether given value's type is one of a few Error or Error-like\n * {@link isError}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isError(wat: any): boolean {\n switch (Object.prototype.toString.call(wat)) {\n case '[object Error]':\n return true;\n case '[object Exception]':\n return true;\n case '[object DOMException]':\n return true;\n default:\n return isInstanceOf(wat, Error);\n }\n}\n\n/**\n * Checks whether given value's type is ErrorEvent\n * {@link isErrorEvent}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isErrorEvent(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object ErrorEvent]';\n}\n\n/**\n * Checks whether given value's type is DOMError\n * {@link isDOMError}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isDOMError(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object DOMError]';\n}\n\n/**\n * Checks whether given value's type is DOMException\n * {@link isDOMException}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isDOMException(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object DOMException]';\n}\n\n/**\n * Checks whether given value's type is a string\n * {@link isString}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isString(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object String]';\n}\n\n/**\n * Checks whether given value's is a primitive (undefined, null, number, boolean, string)\n * {@link isPrimitive}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isPrimitive(wat: any): boolean {\n return wat === null || (typeof wat !== 'object' && typeof wat !== 'function');\n}\n\n/**\n * Checks whether given value's type is an object literal\n * {@link isPlainObject}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isPlainObject(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object Object]';\n}\n\n/**\n * Checks whether given value's type is an Event instance\n * {@link isEvent}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isEvent(wat: any): boolean {\n // tslint:disable-next-line:strict-type-predicates\n return typeof Event !== 'undefined' && isInstanceOf(wat, Event);\n}\n\n/**\n * Checks whether given value's type is an Element instance\n * {@link isElement}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isElement(wat: any): boolean {\n // tslint:disable-next-line:strict-type-predicates\n return typeof Element !== 'undefined' && isInstanceOf(wat, Element);\n}\n\n/**\n * Checks whether given value's type is an regexp\n * {@link isRegExp}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isRegExp(wat: any): boolean {\n return Object.prototype.toString.call(wat) === '[object RegExp]';\n}\n\n/**\n * Checks whether given value has a then function.\n * @param wat A value to be checked.\n */\nexport function isThenable(wat: any): boolean {\n // tslint:disable:no-unsafe-any\n return Boolean(wat && wat.then && typeof wat.then === 'function');\n // tslint:enable:no-unsafe-any\n}\n\n/**\n * Checks whether given value's type is a SyntheticEvent\n * {@link isSyntheticEvent}.\n *\n * @param wat A value to be checked.\n * @returns A boolean representing the result.\n */\nexport function isSyntheticEvent(wat: any): boolean {\n // tslint:disable-next-line:no-unsafe-any\n return isPlainObject(wat) && 'nativeEvent' in wat && 'preventDefault' in wat && 'stopPropagation' in wat;\n}\n/**\n * Checks whether given value's type is an instance of provided constructor.\n * {@link isInstanceOf}.\n *\n * @param wat A value to be checked.\n * @param base A constructor to be used in a check.\n * @returns A boolean representing the result.\n */\nexport function isInstanceOf(wat: any, base: any): boolean {\n try {\n // tslint:disable-next-line:no-unsafe-any\n return wat instanceof base;\n } catch (_e) {\n return false;\n }\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"footer\":\"footer__3lyac\"};","// Slightly modified (no IE8 support, ES6) and transcribed to TypeScript\n// https://raw.githubusercontent.com/calvinmetcalf/rollup-plugin-node-builtins/master/src/es6/path.js\n\n/** JSDoc */\nfunction normalizeArray(parts: string[], allowAboveRoot?: boolean): string[] {\n // if the path tries to go above the root, `up` ends up > 0\n let up = 0;\n for (let i = parts.length - 1; i >= 0; i--) {\n const last = parts[i];\n if (last === '.') {\n parts.splice(i, 1);\n } else if (last === '..') {\n parts.splice(i, 1);\n up++;\n } else if (up) {\n parts.splice(i, 1);\n up--;\n }\n }\n\n // if the path is allowed to go above the root, restore leading ..s\n if (allowAboveRoot) {\n for (; up--; up) {\n parts.unshift('..');\n }\n }\n\n return parts;\n}\n\n// Split a filename into [root, dir, basename, ext], unix version\n// 'root' is just a slash, or nothing.\nconst splitPathRe = /^(\\/?|)([\\s\\S]*?)((?:\\.{1,2}|[^\\/]+?|)(\\.[^.\\/]*|))(?:[\\/]*)$/;\n/** JSDoc */\nfunction splitPath(filename: string): string[] {\n const parts = splitPathRe.exec(filename);\n return parts ? parts.slice(1) : [];\n}\n\n// path.resolve([from ...], to)\n// posix version\n/** JSDoc */\nexport function resolve(...args: string[]): string {\n let resolvedPath = '';\n let resolvedAbsolute = false;\n\n for (let i = args.length - 1; i >= -1 && !resolvedAbsolute; i--) {\n const path = i >= 0 ? args[i] : '/';\n\n // Skip empty entries\n if (!path) {\n continue;\n }\n\n resolvedPath = `${path}/${resolvedPath}`;\n resolvedAbsolute = path.charAt(0) === '/';\n }\n\n // At this point the path should be resolved to a full absolute path, but\n // handle relative paths to be safe (might happen when process.cwd() fails)\n\n // Normalize the path\n resolvedPath = normalizeArray(resolvedPath.split('/').filter(p => !!p), !resolvedAbsolute).join('/');\n\n return (resolvedAbsolute ? '/' : '') + resolvedPath || '.';\n}\n\n/** JSDoc */\nfunction trim(arr: string[]): string[] {\n let start = 0;\n for (; start < arr.length; start++) {\n if (arr[start] !== '') {\n break;\n }\n }\n\n let end = arr.length - 1;\n for (; end >= 0; end--) {\n if (arr[end] !== '') {\n break;\n }\n }\n\n if (start > end) {\n return [];\n }\n return arr.slice(start, end - start + 1);\n}\n\n// path.relative(from, to)\n// posix version\n/** JSDoc */\nexport function relative(from: string, to: string): string {\n // tslint:disable:no-parameter-reassignment\n from = resolve(from).substr(1);\n to = resolve(to).substr(1);\n\n const fromParts = trim(from.split('/'));\n const toParts = trim(to.split('/'));\n\n const length = Math.min(fromParts.length, toParts.length);\n let samePartsLength = length;\n for (let i = 0; i < length; i++) {\n if (fromParts[i] !== toParts[i]) {\n samePartsLength = i;\n break;\n }\n }\n\n let outputParts = [];\n for (let i = samePartsLength; i < fromParts.length; i++) {\n outputParts.push('..');\n }\n\n outputParts = outputParts.concat(toParts.slice(samePartsLength));\n\n return outputParts.join('/');\n}\n\n// path.normalize(path)\n// posix version\n/** JSDoc */\nexport function normalizePath(path: string): string {\n const isPathAbsolute = isAbsolute(path);\n const trailingSlash = path.substr(-1) === '/';\n\n // Normalize the path\n let normalizedPath = normalizeArray(path.split('/').filter(p => !!p), !isPathAbsolute).join('/');\n\n if (!normalizedPath && !isPathAbsolute) {\n normalizedPath = '.';\n }\n if (normalizedPath && trailingSlash) {\n normalizedPath += '/';\n }\n\n return (isPathAbsolute ? '/' : '') + normalizedPath;\n}\n\n// posix version\n/** JSDoc */\nexport function isAbsolute(path: string): boolean {\n return path.charAt(0) === '/';\n}\n\n// posix version\n/** JSDoc */\nexport function join(...args: string[]): string {\n return normalizePath(args.join('/'));\n}\n\n/** JSDoc */\nexport function dirname(path: string): string {\n const result = splitPath(path);\n const root = result[0];\n let dir = result[1];\n\n if (!root && !dir) {\n // No dirname whatsoever\n return '.';\n }\n\n if (dir) {\n // It has a dirname, strip trailing slash\n dir = dir.substr(0, dir.length - 1);\n }\n\n return root + dir;\n}\n\n/** JSDoc */\nexport function basename(path: string, ext?: string): string {\n let f = splitPath(path)[2];\n if (ext && f.substr(ext.length * -1) === ext) {\n f = f.substr(0, f.length - ext.length);\n }\n return f;\n}\n","import { EventProcessor, Hub, Integration } from '@sentry/types';\nimport { getGlobalObject, supportsReportingObserver } from '@sentry/utils';\n\n/** JSDoc */\ninterface Report {\n [key: string]: any;\n type: ReportTypes;\n url: string;\n body?: ReportBody;\n}\n\n/** JSDoc */\nenum ReportTypes {\n /** JSDoc */\n Crash = 'crash',\n /** JSDoc */\n Deprecation = 'deprecation',\n /** JSDoc */\n Intervention = 'intervention',\n}\n\n/** JSDoc */\ntype ReportBody = CrashReportBody | DeprecationReportBody | InterventionReportBody;\n\n/** JSDoc */\ninterface CrashReportBody {\n [key: string]: any;\n crashId: string;\n reason?: string;\n}\n\n/** JSDoc */\ninterface DeprecationReportBody {\n [key: string]: any;\n id: string;\n anticipatedRemoval?: Date;\n message: string;\n sourceFile?: string;\n lineNumber?: number;\n columnNumber?: number;\n}\n\n/** JSDoc */\ninterface InterventionReportBody {\n [key: string]: any;\n id: string;\n message: string;\n sourceFile?: string;\n lineNumber?: number;\n columnNumber?: number;\n}\n\n/** Reporting API integration - https://w3c.github.io/reporting/ */\nexport class ReportingObserver implements Integration {\n /**\n * @inheritDoc\n */\n public readonly name: string = ReportingObserver.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'ReportingObserver';\n\n /**\n * Returns current hub.\n */\n private _getCurrentHub?: () => Hub;\n\n /**\n * @inheritDoc\n */\n public constructor(\n private readonly _options: {\n types?: ReportTypes[];\n } = {\n types: [ReportTypes.Crash, ReportTypes.Deprecation, ReportTypes.Intervention],\n },\n ) {}\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n // tslint:disable:no-unsafe-any\n\n if (!supportsReportingObserver()) {\n return;\n }\n\n this._getCurrentHub = getCurrentHub;\n\n const observer = new (getGlobalObject()).ReportingObserver(this.handler.bind(this), {\n buffered: true,\n types: this._options.types,\n });\n\n observer.observe();\n }\n\n /**\n * @inheritDoc\n */\n public handler(reports: Report[]): void {\n const hub = this._getCurrentHub && this._getCurrentHub();\n if (!hub || !hub.getIntegration(ReportingObserver)) {\n return;\n }\n for (const report of reports) {\n hub.withScope(scope => {\n scope.setExtra('url', report.url);\n\n const label = `ReportingObserver [${report.type}]`;\n let details = 'No details available';\n\n if (report.body) {\n // Object.keys doesn't work on ReportBody, as all properties are inheirted\n const plainBody: {\n [key: string]: any;\n } = {};\n\n // tslint:disable-next-line:forin\n for (const prop in report.body) {\n plainBody[prop] = report.body[prop];\n }\n\n scope.setExtra('body', plainBody);\n\n if (report.type === ReportTypes.Crash) {\n const body = report.body as CrashReportBody;\n // A fancy way to create a message out of crashId OR reason OR both OR fallback\n details = [body.crashId || '', body.reason || ''].join(' ').trim() || details;\n } else {\n const body = report.body as DeprecationReportBody | InterventionReportBody;\n details = body.message || details;\n }\n }\n\n hub.captureMessage(`${label}: ${details}`);\n });\n }\n }\n}\n","import { Event, EventProcessor, Hub, Integration } from '@sentry/types';\nimport { getGlobalObject, logger } from '@sentry/utils';\n\n// See https://github.com/angular/angular.js/blob/v1.4.7/src/minErr.js\nconst angularPattern = /^\\[((?:[$a-zA-Z0-9]+:)?(?:[$a-zA-Z0-9]+))\\] (.*?)\\n?(\\S+)$/;\n\n/**\n * AngularJS integration\n *\n * Provides an $exceptionHandler for AngularJS\n */\nexport class Angular implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Angular.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'AngularJS';\n\n /**\n * moduleName used in Angular's DI resolution algorithm\n */\n public static moduleName: string = 'ngSentry';\n\n /**\n * Angular's instance\n */\n private readonly _angular: any;\n\n /**\n * Returns current hub.\n */\n private _getCurrentHub?: () => Hub;\n\n /**\n * @inheritDoc\n */\n public constructor(options: { angular?: any } = {}) {\n // tslint:disable-next-line: no-unsafe-any\n this._angular = options.angular || getGlobalObject().angular;\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n if (!this._angular) {\n logger.error('AngularIntegration is missing an Angular instance');\n return;\n }\n\n this._getCurrentHub = getCurrentHub;\n\n // tslint:disable: no-unsafe-any\n this._angular.module(Angular.moduleName, []).config([\n '$provide',\n ($provide: any) => {\n $provide.decorator('$exceptionHandler', ['$delegate', this._$exceptionHandlerDecorator.bind(this)]);\n },\n ]);\n // tslint:enable: no-unsafe-any\n }\n\n /**\n * Angular's exceptionHandler for Sentry integration\n */\n // tslint:disable-next-line: no-unsafe-any\n private _$exceptionHandlerDecorator($delegate: any): any {\n return (exception: Error, cause?: string) => {\n const hub = this._getCurrentHub && this._getCurrentHub();\n\n if (hub && hub.getIntegration(Angular)) {\n hub.withScope(scope => {\n if (cause) {\n scope.setExtra('cause', cause);\n }\n\n scope.addEventProcessor((event: Event) => {\n const ex = event.exception && event.exception.values && event.exception.values[0];\n\n if (ex) {\n const matches = angularPattern.exec(ex.value || '');\n\n if (matches) {\n // This type now becomes something like: $rootScope:inprog\n ex.type = matches[1];\n ex.value = matches[2];\n event.message = `${ex.type}: ${ex.value}`;\n // auto set a new tag specifically for the angular error url\n event.extra = {\n ...event.extra,\n angularDocs: matches[3].substr(0, 250),\n };\n }\n }\n\n return event;\n });\n\n hub.captureException(exception);\n });\n }\n // tslint:disable-next-line: no-unsafe-any\n $delegate(exception, cause);\n };\n }\n}\n","import { EventProcessor, Hub, Integration, Severity } from '@sentry/types';\nimport { fill, getGlobalObject, safeJoin } from '@sentry/utils';\n\nconst global = getGlobalObject();\n\n/** Send Console API calls as Sentry Events */\nexport class CaptureConsole implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = CaptureConsole.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'CaptureConsole';\n\n /**\n * @inheritDoc\n */\n private readonly _levels: string[] = ['log', 'info', 'warn', 'error', 'debug', 'assert'];\n\n /**\n * @inheritDoc\n */\n public constructor(options: { levels?: string[] } = {}) {\n if (options.levels) {\n this._levels = options.levels;\n }\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n if (!('console' in global)) {\n return;\n }\n\n this._levels.forEach((level: string) => {\n if (!(level in global.console)) {\n return;\n }\n\n fill(global.console, level, (originalConsoleLevel: () => any) => (...args: any[]) => {\n const hub = getCurrentHub();\n\n if (hub.getIntegration(CaptureConsole)) {\n hub.withScope(scope => {\n scope.setLevel(Severity.fromString(level));\n scope.setExtra('arguments', args);\n scope.addEventProcessor(event => {\n event.logger = 'console';\n return event;\n });\n\n let message = safeJoin(args, ' ');\n if (level === 'assert') {\n if (args[0] === false) {\n message = `Assertion failed: ${safeJoin(args.slice(1), ' ') || 'console.assert'}`;\n scope.setExtra('arguments', args.slice(1));\n hub.captureMessage(message);\n }\n } else {\n hub.captureMessage(message);\n }\n });\n }\n\n // this fails for some browsers. :(\n if (originalConsoleLevel) {\n Function.prototype.apply.call(originalConsoleLevel, global.console, args);\n }\n });\n });\n }\n}\n","import { Event, EventHint, EventProcessor, Hub, Integration } from '@sentry/types';\nimport { consoleSandbox } from '@sentry/utils';\n\n/** JSDoc */\ninterface DebugOptions {\n stringify?: boolean;\n debugger?: boolean;\n}\n\n/** JSDoc */\nexport class Debug implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Debug.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'Debug';\n\n /** JSDoc */\n private readonly _options: DebugOptions;\n\n /**\n * @inheritDoc\n */\n public constructor(options?: DebugOptions) {\n this._options = {\n debugger: false,\n stringify: false,\n ...options,\n };\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor((event: Event, hint?: EventHint) => {\n const self = getCurrentHub().getIntegration(Debug);\n if (self) {\n // tslint:disable:no-console\n // tslint:disable:no-debugger\n if (self._options.debugger) {\n debugger;\n }\n\n consoleSandbox(() => {\n if (self._options.stringify) {\n console.log(JSON.stringify(event, null, 2));\n if (hint) {\n console.log(JSON.stringify(hint, null, 2));\n }\n } else {\n console.log(event);\n if (hint) {\n console.log(hint);\n }\n }\n });\n }\n return event;\n });\n }\n}\n","import { Event, EventProcessor, Exception, Hub, Integration, StackFrame } from '@sentry/types';\n\n/** Deduplication filter */\nexport class Dedupe implements Integration {\n /**\n * @inheritDoc\n */\n private _previousEvent?: Event;\n\n /**\n * @inheritDoc\n */\n public name: string = Dedupe.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'Dedupe';\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor((currentEvent: Event) => {\n const self = getCurrentHub().getIntegration(Dedupe);\n if (self) {\n // Juuust in case something goes wrong\n try {\n if (self._shouldDropEvent(currentEvent, self._previousEvent)) {\n return null;\n }\n } catch (_oO) {\n return (self._previousEvent = currentEvent);\n }\n\n return (self._previousEvent = currentEvent);\n }\n return currentEvent;\n });\n }\n\n /** JSDoc */\n private _shouldDropEvent(currentEvent: Event, previousEvent?: Event): boolean {\n if (!previousEvent) {\n return false;\n }\n\n if (this._isSameMessageEvent(currentEvent, previousEvent)) {\n return true;\n }\n\n if (this._isSameExceptionEvent(currentEvent, previousEvent)) {\n return true;\n }\n\n return false;\n }\n\n /** JSDoc */\n private _isSameMessageEvent(currentEvent: Event, previousEvent: Event): boolean {\n const currentMessage = currentEvent.message;\n const previousMessage = previousEvent.message;\n\n // If neither event has a message property, they were both exceptions, so bail out\n if (!currentMessage && !previousMessage) {\n return false;\n }\n\n // If only one event has a stacktrace, but not the other one, they are not the same\n if ((currentMessage && !previousMessage) || (!currentMessage && previousMessage)) {\n return false;\n }\n\n if (currentMessage !== previousMessage) {\n return false;\n }\n\n if (!this._isSameFingerprint(currentEvent, previousEvent)) {\n return false;\n }\n\n if (!this._isSameStacktrace(currentEvent, previousEvent)) {\n return false;\n }\n\n return true;\n }\n\n /** JSDoc */\n private _getFramesFromEvent(event: Event): StackFrame[] | undefined {\n const exception = event.exception;\n\n if (exception) {\n try {\n // @ts-ignore\n return exception.values[0].stacktrace.frames;\n } catch (_oO) {\n return undefined;\n }\n } else if (event.stacktrace) {\n return event.stacktrace.frames;\n }\n return undefined;\n }\n\n /** JSDoc */\n private _isSameStacktrace(currentEvent: Event, previousEvent: Event): boolean {\n let currentFrames = this._getFramesFromEvent(currentEvent);\n let previousFrames = this._getFramesFromEvent(previousEvent);\n\n // If neither event has a stacktrace, they are assumed to be the same\n if (!currentFrames && !previousFrames) {\n return true;\n }\n\n // If only one event has a stacktrace, but not the other one, they are not the same\n if ((currentFrames && !previousFrames) || (!currentFrames && previousFrames)) {\n return false;\n }\n\n currentFrames = currentFrames as StackFrame[];\n previousFrames = previousFrames as StackFrame[];\n\n // If number of frames differ, they are not the same\n if (previousFrames.length !== currentFrames.length) {\n return false;\n }\n\n // Otherwise, compare the two\n for (let i = 0; i < previousFrames.length; i++) {\n const frameA = previousFrames[i];\n const frameB = currentFrames[i];\n\n if (\n frameA.filename !== frameB.filename ||\n frameA.lineno !== frameB.lineno ||\n frameA.colno !== frameB.colno ||\n frameA.function !== frameB.function\n ) {\n return false;\n }\n }\n\n return true;\n }\n\n /** JSDoc */\n private _getExceptionFromEvent(event: Event): Exception | undefined {\n return event.exception && event.exception.values && event.exception.values[0];\n }\n\n /** JSDoc */\n private _isSameExceptionEvent(currentEvent: Event, previousEvent: Event): boolean {\n const previousException = this._getExceptionFromEvent(previousEvent);\n const currentException = this._getExceptionFromEvent(currentEvent);\n\n if (!previousException || !currentException) {\n return false;\n }\n\n if (previousException.type !== currentException.type || previousException.value !== currentException.value) {\n return false;\n }\n\n if (!this._isSameFingerprint(currentEvent, previousEvent)) {\n return false;\n }\n\n if (!this._isSameStacktrace(currentEvent, previousEvent)) {\n return false;\n }\n\n return true;\n }\n\n /** JSDoc */\n private _isSameFingerprint(currentEvent: Event, previousEvent: Event): boolean {\n let currentFingerprint = currentEvent.fingerprint;\n let previousFingerprint = previousEvent.fingerprint;\n\n // If neither event has a fingerprint, they are assumed to be the same\n if (!currentFingerprint && !previousFingerprint) {\n return true;\n }\n\n // If only one event has a fingerprint, but not the other one, they are not the same\n if ((currentFingerprint && !previousFingerprint) || (!currentFingerprint && previousFingerprint)) {\n return false;\n }\n\n currentFingerprint = currentFingerprint as string[];\n previousFingerprint = previousFingerprint as string[];\n\n // Otherwise, compare the two\n try {\n return !!(currentFingerprint.join('') === previousFingerprint.join(''));\n } catch (_oO) {\n return false;\n }\n }\n}\n","import { EventProcessor, Hub, Integration } from '@sentry/types';\nimport { getGlobalObject, isInstanceOf, logger } from '@sentry/utils';\n\n/** JSDoc */\nexport class Ember implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Ember.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'Ember';\n\n /**\n * @inheritDoc\n */\n private readonly _Ember: any; // tslint:disable-line:variable-name\n\n /**\n * @inheritDoc\n */\n public constructor(options: { Ember?: any } = {}) {\n // tslint:disable-next-line: no-unsafe-any\n this._Ember = options.Ember || getGlobalObject().Ember;\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n // tslint:disable:no-unsafe-any\n\n if (!this._Ember) {\n logger.error('EmberIntegration is missing an Ember instance');\n return;\n }\n\n const oldOnError = this._Ember.onerror;\n\n this._Ember.onerror = (error: Error): void => {\n if (getCurrentHub().getIntegration(Ember)) {\n getCurrentHub().captureException(error, { originalException: error });\n }\n\n if (typeof oldOnError === 'function') {\n oldOnError.call(this._Ember, error);\n } else if (this._Ember.testing) {\n throw error;\n }\n };\n\n this._Ember.RSVP.on(\n 'error',\n (reason: any): void => {\n if (getCurrentHub().getIntegration(Ember)) {\n getCurrentHub().withScope(scope => {\n if (isInstanceOf(reason, Error)) {\n scope.setExtra('context', 'Unhandled Promise error detected');\n getCurrentHub().captureException(reason, { originalException: reason });\n } else {\n scope.setExtra('reason', reason);\n getCurrentHub().captureMessage('Unhandled Promise error detected');\n }\n });\n }\n },\n );\n }\n}\n","import { Event, EventHint, EventProcessor, ExtendedError, Hub, Integration } from '@sentry/types';\nimport { isError, isPlainObject, logger, normalize } from '@sentry/utils';\n\n/** JSDoc */\ninterface ExtraErrorDataOptions {\n depth?: number;\n}\n\n/** Patch toString calls to return proper name for wrapped functions */\nexport class ExtraErrorData implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = ExtraErrorData.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'ExtraErrorData';\n\n /**\n * @inheritDoc\n */\n public constructor(private readonly _options: ExtraErrorDataOptions = { depth: 3 }) {}\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor((event: Event, hint?: EventHint) => {\n const self = getCurrentHub().getIntegration(ExtraErrorData);\n if (!self) {\n return event;\n }\n return self.enhanceEventWithErrorData(event, hint);\n });\n }\n\n /**\n * Attaches extracted information from the Error object to extra field in the Event\n */\n public enhanceEventWithErrorData(event: Event, hint?: EventHint): Event {\n if (!hint || !hint.originalException || !isError(hint.originalException)) {\n return event;\n }\n const name = (hint.originalException as ExtendedError).name || hint.originalException.constructor.name;\n\n const errorData = this._extractErrorData(hint.originalException as ExtendedError);\n\n if (errorData) {\n let contexts = {\n ...event.contexts,\n };\n\n const normalizedErrorData = normalize(errorData, this._options.depth);\n if (isPlainObject(normalizedErrorData)) {\n contexts = {\n ...event.contexts,\n [name]: {\n ...normalizedErrorData,\n },\n };\n }\n\n return {\n ...event,\n contexts,\n };\n }\n\n return event;\n }\n\n /**\n * Extract extra information from the Error object\n */\n private _extractErrorData(error: ExtendedError): { [key: string]: unknown } | null {\n let result = null;\n // We are trying to enhance already existing event, so no harm done if it won't succeed\n try {\n const nativeKeys = ['name', 'message', 'stack', 'line', 'column', 'fileName', 'lineNumber', 'columnNumber'];\n const errorKeys = Object.getOwnPropertyNames(error).filter(key => nativeKeys.indexOf(key) === -1);\n\n if (errorKeys.length) {\n const extraErrorInfo: { [key: string]: unknown } = {};\n for (const key of errorKeys) {\n let value = error[key];\n if (isError(value)) {\n value = (value as Error).toString();\n }\n // tslint:disable:no-unsafe-any\n extraErrorInfo[key] = value;\n }\n result = extraErrorInfo;\n }\n } catch (oO) {\n logger.error('Unable to extract extra data from the Error object:', oO);\n }\n\n return result;\n }\n}\n","import { Event, EventProcessor, Hub, Integration, StackFrame, Stacktrace } from '@sentry/types';\nimport { basename, relative } from '@sentry/utils';\n\ntype StackFrameIteratee = (frame: StackFrame) => StackFrame;\n\n/** Rewrite event frames paths */\nexport class RewriteFrames implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = RewriteFrames.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'RewriteFrames';\n\n /**\n * @inheritDoc\n */\n private readonly _root?: string;\n\n /**\n * @inheritDoc\n */\n private readonly _iteratee: StackFrameIteratee = (frame: StackFrame) => {\n if (!frame.filename) {\n return frame;\n }\n // Check if the frame filename begins with `/` or a Windows-style prefix such as `C:\\`\n const isWindowsFrame = /^[A-Z]:\\\\/.test(frame.filename);\n const startsWithSlash = /^\\//.test(frame.filename);\n if (frame.filename && (isWindowsFrame || startsWithSlash)) {\n const filename = isWindowsFrame\n ? frame.filename\n .replace(/^[A-Z]:/, '') // remove Windows-style prefix\n .replace(/\\\\/g, '/') // replace all `\\\\` instances with `/`\n : frame.filename;\n const base = this._root ? relative(this._root, filename) : basename(filename);\n frame.filename = `app:///${base}`;\n }\n return frame;\n };\n\n /**\n * @inheritDoc\n */\n public constructor(options: { root?: string; iteratee?: StackFrameIteratee } = {}) {\n if (options.root) {\n this._root = options.root;\n }\n if (options.iteratee) {\n this._iteratee = options.iteratee;\n }\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor(event => {\n const self = getCurrentHub().getIntegration(RewriteFrames);\n if (self) {\n return self.process(event);\n }\n return event;\n });\n }\n\n /** JSDoc */\n public process(event: Event): Event {\n if (event.exception && Array.isArray(event.exception.values)) {\n return this._processExceptionsEvent(event);\n }\n\n if (event.stacktrace) {\n return this._processStacktraceEvent(event);\n }\n\n return event;\n }\n\n /** JSDoc */\n private _processExceptionsEvent(event: Event): Event {\n try {\n return {\n ...event,\n exception: {\n ...event.exception,\n // The check for this is performed inside `process` call itself, safe to skip here\n // tslint:disable-next-line:no-non-null-assertion\n values: event.exception!.values!.map(value => ({\n ...value,\n stacktrace: this._processStacktrace(value.stacktrace),\n })),\n },\n };\n } catch (_oO) {\n return event;\n }\n }\n\n /** JSDoc */\n private _processStacktraceEvent(event: Event): Event {\n try {\n return {\n ...event,\n stacktrace: this._processStacktrace(event.stacktrace),\n };\n } catch (_oO) {\n return event;\n }\n }\n\n /** JSDoc */\n private _processStacktrace(stacktrace?: Stacktrace): Stacktrace {\n return {\n ...stacktrace,\n frames: stacktrace && stacktrace.frames && stacktrace.frames.map(f => this._iteratee(f)),\n };\n }\n}\n","import { Event, EventProcessor, Hub, Integration } from '@sentry/types';\n\n/** This function adds duration since Sentry was initialized till the time event was sent */\nexport class SessionTiming implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = SessionTiming.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'SessionTiming';\n\n /** Exact time Client was initialized expressed in milliseconds since Unix Epoch. */\n protected readonly _startTime: number = Date.now();\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor(event => {\n const self = getCurrentHub().getIntegration(SessionTiming);\n if (self) {\n return self.process(event);\n }\n return event;\n });\n }\n\n /**\n * @inheritDoc\n */\n public process(event: Event): Event {\n const now = Date.now();\n\n return {\n ...event,\n extra: {\n ...event.extra,\n ['session:start']: this._startTime,\n ['session:duration']: now - this._startTime,\n ['session:end']: now,\n },\n };\n }\n}\n","import { Event, EventProcessor, Hub, Integration, StackFrame } from '@sentry/types';\n\n/** Add node transaction to the event */\nexport class Transaction implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Transaction.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'Transaction';\n\n /**\n * @inheritDoc\n */\n public setupOnce(addGlobalEventProcessor: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n addGlobalEventProcessor(event => {\n const self = getCurrentHub().getIntegration(Transaction);\n if (self) {\n return self.process(event);\n }\n return event;\n });\n }\n\n /**\n * @inheritDoc\n */\n public process(event: Event): Event {\n const frames = this._getFramesFromEvent(event);\n\n // use for loop so we don't have to reverse whole frames array\n for (let i = frames.length - 1; i >= 0; i--) {\n const frame = frames[i];\n\n if (frame.in_app === true) {\n event.transaction = this._getTransaction(frame);\n break;\n }\n }\n\n return event;\n }\n\n /** JSDoc */\n private _getFramesFromEvent(event: Event): StackFrame[] {\n const exception = event.exception && event.exception.values && event.exception.values[0];\n return (exception && exception.stacktrace && exception.stacktrace.frames) || [];\n }\n\n /** JSDoc */\n private _getTransaction(frame: StackFrame): string {\n return frame.module || frame.function ? `${frame.module || '?'}/${frame.function || '?'}` : '';\n }\n}\n","import { EventProcessor, Hub, Integration } from '@sentry/types';\nimport { getGlobalObject, isPlainObject, logger } from '@sentry/utils';\n\n/** JSDoc */\ninterface Metadata {\n [key: string]: any;\n componentName?: string;\n propsData?: {\n [key: string]: any;\n };\n lifecycleHook?: string;\n}\n\n/** JSDoc */\nexport class Vue implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Vue.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'Vue';\n\n /**\n * @inheritDoc\n */\n private readonly _Vue: any; // tslint:disable-line:variable-name\n\n /**\n * When set to false, Sentry will suppress reporting all props data\n * from your Vue components for privacy concerns.\n */\n private readonly _attachProps: boolean = true;\n\n /**\n * When set to true, original Vue's `logError` will be called as well.\n * https://github.com/vuejs/vue/blob/c2b1cfe9ccd08835f2d99f6ce60f67b4de55187f/src/core/util/error.js#L38-L48\n */\n private readonly _logErrors: boolean = false;\n\n /**\n * @inheritDoc\n */\n public constructor(options: { Vue?: any; attachProps?: boolean; logErrors?: boolean } = {}) {\n // tslint:disable-next-line: no-unsafe-any\n this._Vue = options.Vue || getGlobalObject().Vue;\n\n if (options.logErrors !== undefined) {\n this._logErrors = options.logErrors;\n }\n if (options.attachProps === false) {\n this._attachProps = false;\n }\n }\n\n /** JSDoc */\n private _formatComponentName(vm: any): string {\n // tslint:disable:no-unsafe-any\n\n if (vm.$root === vm) {\n return 'root instance';\n }\n const name = vm._isVue ? vm.$options.name || vm.$options._componentTag : vm.name;\n return (\n (name ? `component <${name}>` : 'anonymous component') +\n (vm._isVue && vm.$options.__file ? ` at ${vm.$options.__file}` : '')\n );\n }\n\n /**\n * @inheritDoc\n */\n public setupOnce(_: (callback: EventProcessor) => void, getCurrentHub: () => Hub): void {\n // tslint:disable:no-unsafe-any\n\n if (!this._Vue || !this._Vue.config) {\n logger.error('VueIntegration is missing a Vue instance');\n return;\n }\n\n const oldOnError = this._Vue.config.errorHandler;\n\n this._Vue.config.errorHandler = (error: Error, vm: { [key: string]: any }, info: string): void => {\n const metadata: Metadata = {};\n\n if (isPlainObject(vm)) {\n metadata.componentName = this._formatComponentName(vm);\n\n if (this._attachProps) {\n metadata.propsData = vm.$options.propsData;\n }\n }\n\n if (info !== void 0) {\n metadata.lifecycleHook = info;\n }\n\n if (getCurrentHub().getIntegration(Vue)) {\n // This timeout makes sure that any breadcrumbs are recorded before sending it off the sentry\n setTimeout(() => {\n getCurrentHub().withScope(scope => {\n scope.setContext('vue', metadata);\n getCurrentHub().captureException(error);\n });\n });\n }\n\n if (typeof oldOnError === 'function') {\n oldOnError.call(this._Vue, error, vm, info);\n }\n\n if (this._logErrors) {\n this._Vue.util.warn(`Error in ${info}: \"${error.toString()}\"`, vm);\n // tslint:disable-next-line:no-console\n console.error(error);\n }\n };\n }\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./OttimizzazioneLineare.js\") );\n\t\t\t}, \"route-OttimizzazioneLineare\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import { consoleSandbox, getGlobalObject } from './misc';\n\n// TODO: Implement different loggers for different environments\nconst global = getGlobalObject();\n\n/** Prefix for logging strings */\nconst PREFIX = 'Sentry Logger ';\n\n/** JSDoc */\nclass Logger {\n /** JSDoc */\n private _enabled: boolean;\n\n /** JSDoc */\n public constructor() {\n this._enabled = false;\n }\n\n /** JSDoc */\n public disable(): void {\n this._enabled = false;\n }\n\n /** JSDoc */\n public enable(): void {\n this._enabled = true;\n }\n\n /** JSDoc */\n public log(...args: any[]): void {\n if (!this._enabled) {\n return;\n }\n consoleSandbox(() => {\n global.console.log(`${PREFIX}[Log]: ${args.join(' ')}`); // tslint:disable-line:no-console\n });\n }\n\n /** JSDoc */\n public warn(...args: any[]): void {\n if (!this._enabled) {\n return;\n }\n consoleSandbox(() => {\n global.console.warn(`${PREFIX}[Warn]: ${args.join(' ')}`); // tslint:disable-line:no-console\n });\n }\n\n /** JSDoc */\n public error(...args: any[]): void {\n if (!this._enabled) {\n return;\n }\n consoleSandbox(() => {\n global.console.error(`${PREFIX}[Error]: ${args.join(' ')}`); // tslint:disable-line:no-console\n });\n }\n}\n\n// Ensure we only have a single logger instance, even if multiple versions of @sentry/utils are being used\nglobal.__SENTRY__ = global.__SENTRY__ || {};\nconst logger = (global.__SENTRY__.logger as Logger) || (global.__SENTRY__.logger = new Logger());\n\nexport { logger };\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./CalcoloNumerico.js\") );\n\t\t\t}, \"route-CalcoloNumerico\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import { logger } from './logger';\nimport { getGlobalObject } from './misc';\n\n/**\n * Tells whether current environment supports ErrorEvent objects\n * {@link supportsErrorEvent}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsErrorEvent(): boolean {\n try {\n // tslint:disable:no-unused-expression\n new ErrorEvent('');\n return true;\n } catch (e) {\n return false;\n }\n}\n\n/**\n * Tells whether current environment supports DOMError objects\n * {@link supportsDOMError}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsDOMError(): boolean {\n try {\n // It really needs 1 argument, not 0.\n // Chrome: VM89:1 Uncaught TypeError: Failed to construct 'DOMError':\n // 1 argument required, but only 0 present.\n // @ts-ignore\n // tslint:disable:no-unused-expression\n new DOMError('');\n return true;\n } catch (e) {\n return false;\n }\n}\n\n/**\n * Tells whether current environment supports DOMException objects\n * {@link supportsDOMException}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsDOMException(): boolean {\n try {\n // tslint:disable:no-unused-expression\n new DOMException('');\n return true;\n } catch (e) {\n return false;\n }\n}\n\n/**\n * Tells whether current environment supports Fetch API\n * {@link supportsFetch}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsFetch(): boolean {\n if (!('fetch' in getGlobalObject())) {\n return false;\n }\n\n try {\n // tslint:disable-next-line:no-unused-expression\n new Headers();\n // tslint:disable-next-line:no-unused-expression\n new Request('');\n // tslint:disable-next-line:no-unused-expression\n new Response();\n return true;\n } catch (e) {\n return false;\n }\n}\n/**\n * isNativeFetch checks if the given function is a native implementation of fetch()\n */\nfunction isNativeFetch(func: Function): boolean {\n return func && /^function fetch\\(\\)\\s+\\{\\s+\\[native code\\]\\s+\\}$/.test(func.toString());\n}\n\n/**\n * Tells whether current environment supports Fetch API natively\n * {@link supportsNativeFetch}.\n *\n * @returns true if `window.fetch` is natively implemented, false otherwise\n */\nexport function supportsNativeFetch(): boolean {\n if (!supportsFetch()) {\n return false;\n }\n\n const global = getGlobalObject();\n\n // Fast path to avoid DOM I/O\n // tslint:disable-next-line:no-unbound-method\n if (isNativeFetch(global.fetch)) {\n return true;\n }\n\n // window.fetch is implemented, but is polyfilled or already wrapped (e.g: by a chrome extension)\n // so create a \"pure\" iframe to see if that has native fetch\n let result = false;\n const doc = global.document;\n // tslint:disable-next-line:no-unbound-method deprecation\n if (doc && typeof (doc.createElement as unknown) === `function`) {\n try {\n const sandbox = doc.createElement('iframe');\n sandbox.hidden = true;\n doc.head.appendChild(sandbox);\n if (sandbox.contentWindow && sandbox.contentWindow.fetch) {\n // tslint:disable-next-line:no-unbound-method\n result = isNativeFetch(sandbox.contentWindow.fetch);\n }\n doc.head.removeChild(sandbox);\n } catch (err) {\n logger.warn('Could not create sandbox iframe for pure fetch check, bailing to window.fetch: ', err);\n }\n }\n\n return result;\n}\n\n/**\n * Tells whether current environment supports ReportingObserver API\n * {@link supportsReportingObserver}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsReportingObserver(): boolean {\n // tslint:disable-next-line: no-unsafe-any\n return 'ReportingObserver' in getGlobalObject();\n}\n\n/**\n * Tells whether current environment supports Referrer Policy API\n * {@link supportsReferrerPolicy}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsReferrerPolicy(): boolean {\n // Despite all stars in the sky saying that Edge supports old draft syntax, aka 'never', 'always', 'origin' and 'default\n // https://caniuse.com/#feat=referrer-policy\n // It doesn't. And it throw exception instead of ignoring this parameter...\n // REF: https://github.com/getsentry/raven-js/issues/1233\n\n if (!supportsFetch()) {\n return false;\n }\n\n try {\n // tslint:disable:no-unused-expression\n new Request('_', {\n referrerPolicy: 'origin' as ReferrerPolicy,\n });\n return true;\n } catch (e) {\n return false;\n }\n}\n\n/**\n * Tells whether current environment supports History API\n * {@link supportsHistory}.\n *\n * @returns Answer to the given question.\n */\nexport function supportsHistory(): boolean {\n // NOTE: in Chrome App environment, touching history.pushState, *even inside\n // a try/catch block*, will cause Chrome to output an error to console.error\n // borrowed from: https://github.com/angular/angular.js/pull/13945/files\n const global = getGlobalObject();\n const chrome = (global as any).chrome;\n // tslint:disable-next-line:no-unsafe-any\n const isChromePackagedApp = chrome && chrome.app && chrome.app.runtime;\n const hasHistoryApi = 'history' in global && !!global.history.pushState && !!global.history.replaceState;\n\n return !isChromePackagedApp && hasHistoryApi;\n}\n","/** JSDoc */\nexport enum Severity {\n /** JSDoc */\n Fatal = 'fatal',\n /** JSDoc */\n Error = 'error',\n /** JSDoc */\n Warning = 'warning',\n /** JSDoc */\n Log = 'log',\n /** JSDoc */\n Info = 'info',\n /** JSDoc */\n Debug = 'debug',\n /** JSDoc */\n Critical = 'critical',\n}\n// tslint:disable:completed-docs\n// tslint:disable:no-unnecessary-qualifier no-namespace\nexport namespace Severity {\n /**\n * Converts a string-based level into a {@link Severity}.\n *\n * @param level string representation of Severity\n * @returns Severity\n */\n export function fromString(level: string): Severity {\n switch (level) {\n case 'debug':\n return Severity.Debug;\n case 'info':\n return Severity.Info;\n case 'warn':\n case 'warning':\n return Severity.Warning;\n case 'error':\n return Severity.Error;\n case 'fatal':\n return Severity.Fatal;\n case 'critical':\n return Severity.Critical;\n case 'log':\n default:\n return Severity.Log;\n }\n }\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./MingwInstall.js\") );\n\t\t\t}, \"route-MingwInstall\");\n\t\t}\n\n\t\texport default Async(load);\n\t","module.exports = function(originalModule) {\n\tif (!originalModule.webpackPolyfill) {\n\t\tvar module = Object.create(originalModule);\n\t\t// module.parent = undefined by default\n\t\tif (!module.children) module.children = [];\n\t\tObject.defineProperty(module, \"loaded\", {\n\t\t\tenumerable: true,\n\t\t\tget: function() {\n\t\t\t\treturn module.l;\n\t\t\t}\n\t\t});\n\t\tObject.defineProperty(module, \"id\", {\n\t\t\tenumerable: true,\n\t\t\tget: function() {\n\t\t\t\treturn module.i;\n\t\t\t}\n\t\t});\n\t\tObject.defineProperty(module, \"exports\", {\n\t\t\tenumerable: true\n\t\t});\n\t\tmodule.webpackPolyfill = 1;\n\t}\n\treturn module;\n};\n","// Import debugging tools\nlet Sentry = null;\nif(process.env.NODE_ENV === \"development\") {\n\tconsole.debug(\"Initializing Preact Debugger...\")\n\trequire(\"preact/debug\");\n}\nelse if(process.env.NODE_ENV === \"production\") {\n\tconsole.debug(\"Initializing Sentry...\")\n\tSentry = require(\"@sentry/browser\");\n\tlet SentryIntegrations = require(\"@sentry/integrations\")\n\t// noinspection JSUnresolvedVariable\n\tSentry.init({\n\t\tdsn: \"https://9f5089346fd14e04a6f412638474dfec@o40131.ingest.sentry.io/5255500\",\n\t\trelease: process.env.RELEASE,\n\t\tenvironment: \"production\",\n\t\tbeforeSend(event, hint) {\n\t\t\tif (event.exception) {\n\t\t\t\tSentry.showReportDialog({ eventId: event.event_id });\n\t\t\t}\n\t\t\treturn event;\n\t\t}\n\t});\n}\n\n// noinspection ES6UnusedImports\nimport _style from './index.less';\n// noinspection ES6UnusedImports\nimport _manifest from './meta/manifest.json';\n// noinspection ES6UnusedImports\nimport _cname from './meta/CNAME';\n// noinspection ES6UnusedImports\nimport _nojekyll from './meta/.nojekyll';\n\nimport Router from 'preact-router';\nimport {createHashHistory} from \"history\";\nimport Home from './routes/Home';\nimport Fisica from './routes/Fisica';\nimport VlDiGeometria from './routes/VlDiGeometria';\nimport MingwInstall from './routes/MingwInstall';\nimport Footer from './components/Layout/Footer';\nimport Statistica from './routes/Statistica';\nimport OttimizzazioneLineare from \"./routes/OttimizzazioneLineare\";\nimport BasiDiDati from './routes/BasiDiDati';\nimport CalcoloNumerico from './routes/CalcoloNumerico';\nimport ApprendimentoSistemiArtificiali from \"./routes/ApprendimentoSistemiArtificiali\";\nimport LatexRenderColor from \"./contexts/LatexRenderColor\";\nimport NetLogo from \"./routes/NetLogo\";\nimport AlgoritmiEStruttureDati from \"./routes/AlgoritmiEStruttureDati\";\n\n// noinspection JSUnusedGlobalSymbols\nexport default function(props) {\n\treturn (\n\t\t
\n\t\t\t\n\t\t\t\t

Appuntiweb di Steffo

\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\t\t
\n\t\t\t\n\t\t
\n\t);\n}\n","import { h, Component } from 'preact';\n\nexport default function(req) {\n\tfunction Async() {\n\t\tComponent.call(this);\n\n\t\tlet b, old;\n\t\tthis.componentWillMount = () => {\n\t\t\tb = this.base = this.nextBase || this.__b; // short circuits 1st render\n\t\t\treq(m => {\n\t\t\t\tthis.setState({ child: m.default || m });\n\t\t\t});\n\t\t};\n\n\t\tthis.shouldComponentUpdate = (_, nxt) => {\n\t\t\tnxt = nxt.child === void 0;\n\t\t\tif (nxt && old === void 0 && b) {\n\t\t\t\t// Node.TEXT_NODE\n\t\t\t\tif (b.nodeType === 3) {\n\t\t\t\t\told = b.data;\n\t\t\t\t} else {\n\t\t\t\t\told = h(b.nodeName, {\n\t\t\t\t\t\tdangerouslySetInnerHTML: { __html: b.innerHTML },\n\t\t\t\t\t});\n\t\t\t\t}\n\t\t\t} else {\n\t\t\t\told = ''; // dump it\n\t\t\t}\n\t\t\treturn !nxt;\n\t\t};\n\n\t\tthis.render = (p, s) => (s.child ? h(s.child, p) : old);\n\t}\n\t(Async.prototype = new Component()).constructor = Async;\n\treturn Async;\n}\n","/**\n * Assign properties from `props` to `obj`\n * @template O, P The obj and props types\n * @param {O} obj The object to copy properties to\n * @param {P} props The object to copy properties from\n * @returns {O & P}\n */\nexport function assign(obj, props) {\n\tfor (let i in props) obj[i] = props[i];\n\treturn /** @type {O & P} */ (obj);\n}\n\n/**\n * Remove a child node from its parent if attached. This is a workaround for\n * IE11 which doesn't support `Element.prototype.remove()`. Using this function\n * is smaller than including a dedicated polyfill.\n * @param {Node} node The node to remove\n */\nexport function removeNode(node) {\n\tlet parentNode = node.parentNode;\n\tif (parentNode) parentNode.removeChild(node);\n}\n","import { cloneElement, createElement, Component, toChildArray } from 'preact';\nimport { exec, prepareVNodeForRanking, assign, pathRankSort } from './util';\n\nlet customHistory = null;\n\nconst ROUTERS = [];\n\nconst subscribers = [];\n\nconst EMPTY = {};\n\nfunction setUrl(url, type='push') {\n\tif (customHistory && customHistory[type]) {\n\t\tcustomHistory[type](url);\n\t}\n\telse if (typeof history!=='undefined' && history[type+'State']) {\n\t\thistory[type+'State'](null, null, url);\n\t}\n}\n\n\nfunction getCurrentUrl() {\n\tlet url;\n\tif (customHistory && customHistory.location) {\n\t\turl = customHistory.location;\n\t}\n\telse if (customHistory && customHistory.getCurrentLocation) {\n\t\turl = customHistory.getCurrentLocation();\n\t}\n\telse {\n\t\turl = typeof location!=='undefined' ? location : EMPTY;\n\t}\n\treturn `${url.pathname || ''}${url.search || ''}`;\n}\n\n\n\nfunction route(url, replace=false) {\n\tif (typeof url!=='string' && url.url) {\n\t\treplace = url.replace;\n\t\turl = url.url;\n\t}\n\n\t// only push URL into history if we can handle it\n\tif (canRoute(url)) {\n\t\tsetUrl(url, replace ? 'replace' : 'push');\n\t}\n\n\treturn routeTo(url);\n}\n\n\n/** Check if the given URL can be handled by any router instances. */\nfunction canRoute(url) {\n\tfor (let i=ROUTERS.length; i--; ) {\n\t\tif (ROUTERS[i].canRoute(url)) return true;\n\t}\n\treturn false;\n}\n\n\n/** Tell all router instances to handle the given URL. */\nfunction routeTo(url) {\n\tlet didRoute = false;\n\tfor (let i=0; i {\n\t\t\t\trouteTo(getCurrentUrl());\n\t\t\t});\n\t\t}\n\t\taddEventListener('click', delegateLinkHandler);\n\t}\n\teventListenersInitialized = true;\n}\n\n\nclass Router extends Component {\n\tconstructor(props) {\n\t\tsuper(props);\n\t\tif (props.history) {\n\t\t\tcustomHistory = props.history;\n\t\t}\n\n\t\tthis.state = {\n\t\t\turl: props.url || getCurrentUrl()\n\t\t};\n\n\t\tinitEventListeners();\n\t}\n\n\tshouldComponentUpdate(props) {\n\t\tif (props.static!==true) return true;\n\t\treturn props.url!==this.props.url || props.onChange!==this.props.onChange;\n\t}\n\n\t/** Check if the given URL can be matched against any children */\n\tcanRoute(url) {\n\t\tconst children = toChildArray(this.props.children);\n\t\treturn this.getMatchingChildren(children, url, false).length > 0;\n\t}\n\n\t/** Re-render children with a new URL to match against. */\n\trouteTo(url) {\n\t\tthis.setState({ url });\n\n\t\tconst didRoute = this.canRoute(url);\n\n\t\t// trigger a manual re-route if we're not in the middle of an update:\n\t\tif (!this.updating) this.forceUpdate();\n\n\t\treturn didRoute;\n\t}\n\n\tcomponentWillMount() {\n\t\tROUTERS.push(this);\n\t\tthis.updating = true;\n\t}\n\n\tcomponentDidMount() {\n\t\tif (customHistory) {\n\t\t\tthis.unlisten = customHistory.listen((location) => {\n\t\t\t\tthis.routeTo(`${location.pathname || ''}${location.search || ''}`);\n\t\t\t});\n\t\t}\n\t\tthis.updating = false;\n\t}\n\n\tcomponentWillUnmount() {\n\t\tif (typeof this.unlisten==='function') this.unlisten();\n\t\tROUTERS.splice(ROUTERS.indexOf(this), 1);\n\t}\n\n\tcomponentWillUpdate() {\n\t\tthis.updating = true;\n\t}\n\n\tcomponentDidUpdate() {\n\t\tthis.updating = false;\n\t}\n\n\tgetMatchingChildren(children, url, invoke) {\n\t\treturn children\n\t\t\t.filter(prepareVNodeForRanking)\n\t\t\t.sort(pathRankSort)\n\t\t\t.map( vnode => {\n\t\t\t\tlet matches = exec(url, vnode.props.path, vnode.props);\n\t\t\t\tif (matches) {\n\t\t\t\t\tif (invoke !== false) {\n\t\t\t\t\t\tlet newProps = { url, matches };\n\t\t\t\t\t\tassign(newProps, matches);\n\t\t\t\t\t\tdelete newProps.ref;\n\t\t\t\t\t\tdelete newProps.key;\n\t\t\t\t\t\treturn cloneElement(vnode, newProps);\n\t\t\t\t\t}\n\t\t\t\t\treturn vnode;\n\t\t\t\t}\n\t\t\t}).filter(Boolean);\n\t}\n\n\trender({ children, onChange }, { url }) {\n\t\tlet active = this.getMatchingChildren(toChildArray(children), url, true);\n\n\t\tlet current = active[0] || null;\n\n\t\tlet previous = this.previousUrl;\n\t\tif (url!==previous) {\n\t\t\tthis.previousUrl = url;\n\t\t\tif (typeof onChange==='function') {\n\t\t\t\tonChange({\n\t\t\t\t\trouter: this,\n\t\t\t\t\turl,\n\t\t\t\t\tprevious,\n\t\t\t\t\tactive,\n\t\t\t\t\tcurrent\n\t\t\t\t});\n\t\t\t}\n\t\t}\n\n\t\treturn current;\n\t}\n}\n\nconst Link = (props) => (\n\tcreateElement('a', assign({ onClick: handleLinkClick }, props))\n);\n\nconst Route = props => createElement(props.component, props);\n\nRouter.subscribers = subscribers;\nRouter.getCurrentUrl = getCurrentUrl;\nRouter.route = route;\nRouter.Router = Router;\nRouter.Route = Route;\nRouter.Link = Link;\nRouter.exec = exec;\n\nexport { subscribers, getCurrentUrl, route, Router, Route, Link, exec };\nexport default Router;\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./ApprendimentoSistemiArtificiali.js\") );\n\t\t\t}, \"route-ApprendimentoSistemiArtificiali\");\n\t\t}\n\n\t\texport default Async(load);\n\t","/*! *****************************************************************************\r\nCopyright (c) Microsoft Corporation. All rights reserved.\r\nLicensed under the Apache License, Version 2.0 (the \"License\"); you may not use\r\nthis file except in compliance with the License. You may obtain a copy of the\r\nLicense at http://www.apache.org/licenses/LICENSE-2.0\r\n\r\nTHIS CODE IS PROVIDED ON AN *AS IS* BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY\r\nKIND, EITHER EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION ANY IMPLIED\r\nWARRANTIES OR CONDITIONS OF TITLE, FITNESS FOR A PARTICULAR PURPOSE,\r\nMERCHANTABLITY OR NON-INFRINGEMENT.\r\n\r\nSee the Apache Version 2.0 License for specific language governing permissions\r\nand limitations under the License.\r\n***************************************************************************** */\r\n/* global Reflect, Promise */\r\n\r\nvar extendStatics = function(d, b) {\r\n extendStatics = Object.setPrototypeOf ||\r\n ({ __proto__: [] } instanceof Array && function (d, b) { d.__proto__ = b; }) ||\r\n function (d, b) { for (var p in b) if (b.hasOwnProperty(p)) d[p] = b[p]; };\r\n return extendStatics(d, b);\r\n};\r\n\r\nexport function __extends(d, b) {\r\n extendStatics(d, b);\r\n function __() { this.constructor = d; }\r\n d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());\r\n}\r\n\r\nexport var __assign = function() {\r\n __assign = Object.assign || function __assign(t) {\r\n for (var s, i = 1, n = arguments.length; i < n; i++) {\r\n s = arguments[i];\r\n for (var p in s) if (Object.prototype.hasOwnProperty.call(s, p)) t[p] = s[p];\r\n }\r\n return t;\r\n }\r\n return __assign.apply(this, arguments);\r\n}\r\n\r\nexport function __rest(s, e) {\r\n var t = {};\r\n for (var p in s) if (Object.prototype.hasOwnProperty.call(s, p) && e.indexOf(p) < 0)\r\n t[p] = s[p];\r\n if (s != null && typeof Object.getOwnPropertySymbols === \"function\")\r\n for (var i = 0, p = Object.getOwnPropertySymbols(s); i < p.length; i++) {\r\n if (e.indexOf(p[i]) < 0 && Object.prototype.propertyIsEnumerable.call(s, p[i]))\r\n t[p[i]] = s[p[i]];\r\n }\r\n return t;\r\n}\r\n\r\nexport function __decorate(decorators, target, key, desc) {\r\n var c = arguments.length, r = c < 3 ? target : desc === null ? desc = Object.getOwnPropertyDescriptor(target, key) : desc, d;\r\n if (typeof Reflect === \"object\" && typeof Reflect.decorate === \"function\") r = Reflect.decorate(decorators, target, key, desc);\r\n else for (var i = decorators.length - 1; i >= 0; i--) if (d = decorators[i]) r = (c < 3 ? d(r) : c > 3 ? d(target, key, r) : d(target, key)) || r;\r\n return c > 3 && r && Object.defineProperty(target, key, r), r;\r\n}\r\n\r\nexport function __param(paramIndex, decorator) {\r\n return function (target, key) { decorator(target, key, paramIndex); }\r\n}\r\n\r\nexport function __metadata(metadataKey, metadataValue) {\r\n if (typeof Reflect === \"object\" && typeof Reflect.metadata === \"function\") return Reflect.metadata(metadataKey, metadataValue);\r\n}\r\n\r\nexport function __awaiter(thisArg, _arguments, P, generator) {\r\n function adopt(value) { return value instanceof P ? value : new P(function (resolve) { resolve(value); }); }\r\n return new (P || (P = Promise))(function (resolve, reject) {\r\n function fulfilled(value) { try { step(generator.next(value)); } catch (e) { reject(e); } }\r\n function rejected(value) { try { step(generator[\"throw\"](value)); } catch (e) { reject(e); } }\r\n function step(result) { result.done ? resolve(result.value) : adopt(result.value).then(fulfilled, rejected); }\r\n step((generator = generator.apply(thisArg, _arguments || [])).next());\r\n });\r\n}\r\n\r\nexport function __generator(thisArg, body) {\r\n var _ = { label: 0, sent: function() { if (t[0] & 1) throw t[1]; return t[1]; }, trys: [], ops: [] }, f, y, t, g;\r\n return g = { next: verb(0), \"throw\": verb(1), \"return\": verb(2) }, typeof Symbol === \"function\" && (g[Symbol.iterator] = function() { return this; }), g;\r\n function verb(n) { return function (v) { return step([n, v]); }; }\r\n function step(op) {\r\n if (f) throw new TypeError(\"Generator is already executing.\");\r\n while (_) try {\r\n if (f = 1, y && (t = op[0] & 2 ? y[\"return\"] : op[0] ? y[\"throw\"] || ((t = y[\"return\"]) && t.call(y), 0) : y.next) && !(t = t.call(y, op[1])).done) return t;\r\n if (y = 0, t) op = [op[0] & 2, t.value];\r\n switch (op[0]) {\r\n case 0: case 1: t = op; break;\r\n case 4: _.label++; return { value: op[1], done: false };\r\n case 5: _.label++; y = op[1]; op = [0]; continue;\r\n case 7: op = _.ops.pop(); _.trys.pop(); continue;\r\n default:\r\n if (!(t = _.trys, t = t.length > 0 && t[t.length - 1]) && (op[0] === 6 || op[0] === 2)) { _ = 0; continue; }\r\n if (op[0] === 3 && (!t || (op[1] > t[0] && op[1] < t[3]))) { _.label = op[1]; break; }\r\n if (op[0] === 6 && _.label < t[1]) { _.label = t[1]; t = op; break; }\r\n if (t && _.label < t[2]) { _.label = t[2]; _.ops.push(op); break; }\r\n if (t[2]) _.ops.pop();\r\n _.trys.pop(); continue;\r\n }\r\n op = body.call(thisArg, _);\r\n } catch (e) { op = [6, e]; y = 0; } finally { f = t = 0; }\r\n if (op[0] & 5) throw op[1]; return { value: op[0] ? op[1] : void 0, done: true };\r\n }\r\n}\r\n\r\nexport function __exportStar(m, exports) {\r\n for (var p in m) if (!exports.hasOwnProperty(p)) exports[p] = m[p];\r\n}\r\n\r\nexport function __values(o) {\r\n var s = typeof Symbol === \"function\" && Symbol.iterator, m = s && o[s], i = 0;\r\n if (m) return m.call(o);\r\n if (o && typeof o.length === \"number\") return {\r\n next: function () {\r\n if (o && i >= o.length) o = void 0;\r\n return { value: o && o[i++], done: !o };\r\n }\r\n };\r\n throw new TypeError(s ? \"Object is not iterable.\" : \"Symbol.iterator is not defined.\");\r\n}\r\n\r\nexport function __read(o, n) {\r\n var m = typeof Symbol === \"function\" && o[Symbol.iterator];\r\n if (!m) return o;\r\n var i = m.call(o), r, ar = [], e;\r\n try {\r\n while ((n === void 0 || n-- > 0) && !(r = i.next()).done) ar.push(r.value);\r\n }\r\n catch (error) { e = { error: error }; }\r\n finally {\r\n try {\r\n if (r && !r.done && (m = i[\"return\"])) m.call(i);\r\n }\r\n finally { if (e) throw e.error; }\r\n }\r\n return ar;\r\n}\r\n\r\nexport function __spread() {\r\n for (var ar = [], i = 0; i < arguments.length; i++)\r\n ar = ar.concat(__read(arguments[i]));\r\n return ar;\r\n}\r\n\r\nexport function __spreadArrays() {\r\n for (var s = 0, i = 0, il = arguments.length; i < il; i++) s += arguments[i].length;\r\n for (var r = Array(s), k = 0, i = 0; i < il; i++)\r\n for (var a = arguments[i], j = 0, jl = a.length; j < jl; j++, k++)\r\n r[k] = a[j];\r\n return r;\r\n};\r\n\r\nexport function __await(v) {\r\n return this instanceof __await ? (this.v = v, this) : new __await(v);\r\n}\r\n\r\nexport function __asyncGenerator(thisArg, _arguments, generator) {\r\n if (!Symbol.asyncIterator) throw new TypeError(\"Symbol.asyncIterator is not defined.\");\r\n var g = generator.apply(thisArg, _arguments || []), i, q = [];\r\n return i = {}, verb(\"next\"), verb(\"throw\"), verb(\"return\"), i[Symbol.asyncIterator] = function () { return this; }, i;\r\n function verb(n) { if (g[n]) i[n] = function (v) { return new Promise(function (a, b) { q.push([n, v, a, b]) > 1 || resume(n, v); }); }; }\r\n function resume(n, v) { try { step(g[n](v)); } catch (e) { settle(q[0][3], e); } }\r\n function step(r) { r.value instanceof __await ? Promise.resolve(r.value.v).then(fulfill, reject) : settle(q[0][2], r); }\r\n function fulfill(value) { resume(\"next\", value); }\r\n function reject(value) { resume(\"throw\", value); }\r\n function settle(f, v) { if (f(v), q.shift(), q.length) resume(q[0][0], q[0][1]); }\r\n}\r\n\r\nexport function __asyncDelegator(o) {\r\n var i, p;\r\n return i = {}, verb(\"next\"), verb(\"throw\", function (e) { throw e; }), verb(\"return\"), i[Symbol.iterator] = function () { return this; }, i;\r\n function verb(n, f) { i[n] = o[n] ? function (v) { return (p = !p) ? { value: __await(o[n](v)), done: n === \"return\" } : f ? f(v) : v; } : f; }\r\n}\r\n\r\nexport function __asyncValues(o) {\r\n if (!Symbol.asyncIterator) throw new TypeError(\"Symbol.asyncIterator is not defined.\");\r\n var m = o[Symbol.asyncIterator], i;\r\n return m ? m.call(o) : (o = typeof __values === \"function\" ? __values(o) : o[Symbol.iterator](), i = {}, verb(\"next\"), verb(\"throw\"), verb(\"return\"), i[Symbol.asyncIterator] = function () { return this; }, i);\r\n function verb(n) { i[n] = o[n] && function (v) { return new Promise(function (resolve, reject) { v = o[n](v), settle(resolve, reject, v.done, v.value); }); }; }\r\n function settle(resolve, reject, d, v) { Promise.resolve(v).then(function(v) { resolve({ value: v, done: d }); }, reject); }\r\n}\r\n\r\nexport function __makeTemplateObject(cooked, raw) {\r\n if (Object.defineProperty) { Object.defineProperty(cooked, \"raw\", { value: raw }); } else { cooked.raw = raw; }\r\n return cooked;\r\n};\r\n\r\nexport function __importStar(mod) {\r\n if (mod && mod.__esModule) return mod;\r\n var result = {};\r\n if (mod != null) for (var k in mod) if (Object.hasOwnProperty.call(mod, k)) result[k] = mod[k];\r\n result.default = mod;\r\n return result;\r\n}\r\n\r\nexport function __importDefault(mod) {\r\n return (mod && mod.__esModule) ? mod : { default: mod };\r\n}\r\n\r\nexport function __classPrivateFieldGet(receiver, privateMap) {\r\n if (!privateMap.has(receiver)) {\r\n throw new TypeError(\"attempted to get private field on non-instance\");\r\n }\r\n return privateMap.get(receiver);\r\n}\r\n\r\nexport function __classPrivateFieldSet(receiver, privateMap, value) {\r\n if (!privateMap.has(receiver)) {\r\n throw new TypeError(\"attempted to set private field on non-instance\");\r\n }\r\n privateMap.set(receiver, value);\r\n return value;\r\n}\r\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./AlgoritmiEStruttureDati.js\") );\n\t\t\t}, \"route-AlgoritmiEStruttureDati\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import { isRegExp, isString } from './is';\n\n/**\n * Truncates given string to the maximum characters count\n *\n * @param str An object that contains serializable values\n * @param max Maximum number of characters in truncated string\n * @returns string Encoded\n */\nexport function truncate(str: string, max: number = 0): string {\n // tslint:disable-next-line:strict-type-predicates\n if (typeof str !== 'string' || max === 0) {\n return str;\n }\n return str.length <= max ? str : `${str.substr(0, max)}...`;\n}\n\n/**\n * This is basically just `trim_line` from\n * https://github.com/getsentry/sentry/blob/master/src/sentry/lang/javascript/processor.py#L67\n *\n * @param str An object that contains serializable values\n * @param max Maximum number of characters in truncated string\n * @returns string Encoded\n */\n\nexport function snipLine(line: string, colno: number): string {\n let newLine = line;\n const ll = newLine.length;\n if (ll <= 150) {\n return newLine;\n }\n if (colno > ll) {\n colno = ll; // tslint:disable-line:no-parameter-reassignment\n }\n\n let start = Math.max(colno - 60, 0);\n if (start < 5) {\n start = 0;\n }\n\n let end = Math.min(start + 140, ll);\n if (end > ll - 5) {\n end = ll;\n }\n if (end === ll) {\n start = Math.max(end - 140, 0);\n }\n\n newLine = newLine.slice(start, end);\n if (start > 0) {\n newLine = `'{snip} ${newLine}`;\n }\n if (end < ll) {\n newLine += ' {snip}';\n }\n\n return newLine;\n}\n\n/**\n * Join values in array\n * @param input array of values to be joined together\n * @param delimiter string to be placed in-between values\n * @returns Joined values\n */\nexport function safeJoin(input: any[], delimiter?: string): string {\n if (!Array.isArray(input)) {\n return '';\n }\n\n const output = [];\n // tslint:disable-next-line:prefer-for-of\n for (let i = 0; i < input.length; i++) {\n const value = input[i];\n try {\n output.push(String(value));\n } catch (e) {\n output.push('[value cannot be serialized]');\n }\n }\n\n return output.join(delimiter);\n}\n\n/**\n * Checks if the value matches a regex or includes the string\n * @param value The string value to be checked against\n * @param pattern Either a regex or a string that must be contained in value\n */\nexport function isMatchingPattern(value: string, pattern: RegExp | string): boolean {\n if (!isString(value)) {\n return false;\n }\n\n if (isRegExp(pattern)) {\n return (pattern as RegExp).test(value);\n }\n if (typeof pattern === 'string') {\n return value.indexOf(pattern) !== -1;\n }\n return false;\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./Home.js\") );\n\t\t\t}, \"route-Home\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import options from './options';\n\n/**\n * Create an virtual node (used for JSX)\n * @param {import('./internal').VNode[\"type\"]} type The node name or Component\n * constructor for this virtual node\n * @param {object | null | undefined} [props] The properties of the virtual node\n * @param {Array} [children] The children of the virtual node\n * @returns {import('./internal').VNode}\n */\nexport function createElement(type, props, children) {\n\tlet normalizedProps = {},\n\t\ti;\n\tfor (i in props) {\n\t\tif (i !== 'key' && i !== 'ref') normalizedProps[i] = props[i];\n\t}\n\n\tif (arguments.length > 3) {\n\t\tchildren = [children];\n\t\t// https://github.com/preactjs/preact/issues/1916\n\t\tfor (i = 3; i < arguments.length; i++) {\n\t\t\tchildren.push(arguments[i]);\n\t\t}\n\t}\n\tif (children != null) {\n\t\tnormalizedProps.children = children;\n\t}\n\n\t// If a Component VNode, check for and apply defaultProps\n\t// Note: type may be undefined in development, must never error here.\n\tif (typeof type == 'function' && type.defaultProps != null) {\n\t\tfor (i in type.defaultProps) {\n\t\t\tif (normalizedProps[i] === undefined) {\n\t\t\t\tnormalizedProps[i] = type.defaultProps[i];\n\t\t\t}\n\t\t}\n\t}\n\n\treturn createVNode(\n\t\ttype,\n\t\tnormalizedProps,\n\t\tprops && props.key,\n\t\tprops && props.ref,\n\t\tnull\n\t);\n}\n\n/**\n * Create a VNode (used internally by Preact)\n * @param {import('./internal').VNode[\"type\"]} type The node name or Component\n * Constructor for this virtual node\n * @param {object | string | number | null} props The properties of this virtual node.\n * If this virtual node represents a text node, this is the text of the node (string or number).\n * @param {string | number | null} key The key for this virtual node, used when\n * diffing it against its children\n * @param {import('./internal').VNode[\"ref\"]} ref The ref property that will\n * receive a reference to its created child\n * @returns {import('./internal').VNode}\n */\nexport function createVNode(type, props, key, ref, original) {\n\t// V8 seems to be better at detecting type shapes if the object is allocated from the same call site\n\t// Do not inline into createElement and coerceToVNode!\n\tconst vnode = {\n\t\ttype,\n\t\tprops,\n\t\tkey,\n\t\tref,\n\t\t_children: null,\n\t\t_parent: null,\n\t\t_depth: 0,\n\t\t_dom: null,\n\t\t// _nextDom must be initialized to undefined b/c it will eventually\n\t\t// be set to dom.nextSibling which can return `null` and it is important\n\t\t// to be able to distinguish between an uninitialized _nextDom and\n\t\t// a _nextDom that has been set to `null`\n\t\t_nextDom: undefined,\n\t\t_component: null,\n\t\tconstructor: undefined,\n\t\t_original: original\n\t};\n\n\tif (original == null) vnode._original = vnode;\n\tif (options.vnode) options.vnode(vnode);\n\n\treturn vnode;\n}\n\nexport function createRef() {\n\treturn {};\n}\n\nexport function Fragment(props) {\n\treturn props.children;\n}\n\n/**\n * Check if a the argument is a valid Preact VNode.\n * @param {*} vnode\n * @returns {vnode is import('./internal').VNode}\n */\nexport const isValidElement = vnode =>\n\tvnode != null && vnode.constructor === undefined;\n","import { assign } from './util';\nimport { diff, commitRoot } from './diff/index';\nimport options from './options';\nimport { Fragment } from './create-element';\n\n/**\n * Base Component class. Provides `setState()` and `forceUpdate()`, which\n * trigger rendering\n * @param {object} props The initial component props\n * @param {object} context The initial context from parent components'\n * getChildContext\n */\nexport function Component(props, context) {\n\tthis.props = props;\n\tthis.context = context;\n}\n\n/**\n * Update component state and schedule a re-render.\n * @param {object | ((s: object, p: object) => object)} update A hash of state\n * properties to update with new values or a function that given the current\n * state and props returns a new partial state\n * @param {() => void} [callback] A function to be called once component state is\n * updated\n */\nComponent.prototype.setState = function(update, callback) {\n\t// only clone state when copying to nextState the first time.\n\tlet s;\n\tif (this._nextState !== this.state) {\n\t\ts = this._nextState;\n\t} else {\n\t\ts = this._nextState = assign({}, this.state);\n\t}\n\n\tif (typeof update == 'function') {\n\t\tupdate = update(s, this.props);\n\t}\n\n\tif (update) {\n\t\tassign(s, update);\n\t}\n\n\t// Skip update if updater function returned null\n\tif (update == null) return;\n\n\tif (this._vnode) {\n\t\tif (callback) this._renderCallbacks.push(callback);\n\t\tenqueueRender(this);\n\t}\n};\n\n/**\n * Immediately perform a synchronous re-render of the component\n * @param {() => void} [callback] A function to be called after component is\n * re-rendered\n */\nComponent.prototype.forceUpdate = function(callback) {\n\tif (this._vnode) {\n\t\t// Set render mode so that we can differentiate where the render request\n\t\t// is coming from. We need this because forceUpdate should never call\n\t\t// shouldComponentUpdate\n\t\tthis._force = true;\n\t\tif (callback) this._renderCallbacks.push(callback);\n\t\tenqueueRender(this);\n\t}\n};\n\n/**\n * Accepts `props` and `state`, and returns a new Virtual DOM tree to build.\n * Virtual DOM is generally constructed via [JSX](http://jasonformat.com/wtf-is-jsx).\n * @param {object} props Props (eg: JSX attributes) received from parent\n * element/component\n * @param {object} state The component's current state\n * @param {object} context Context object, as returned by the nearest\n * ancestor's `getChildContext()`\n * @returns {import('./index').ComponentChildren | void}\n */\nComponent.prototype.render = Fragment;\n\n/**\n * @param {import('./internal').VNode} vnode\n * @param {number | null} [childIndex]\n */\nexport function getDomSibling(vnode, childIndex) {\n\tif (childIndex == null) {\n\t\t// Use childIndex==null as a signal to resume the search from the vnode's sibling\n\t\treturn vnode._parent\n\t\t\t? getDomSibling(vnode._parent, vnode._parent._children.indexOf(vnode) + 1)\n\t\t\t: null;\n\t}\n\n\tlet sibling;\n\tfor (; childIndex < vnode._children.length; childIndex++) {\n\t\tsibling = vnode._children[childIndex];\n\n\t\tif (sibling != null && sibling._dom != null) {\n\t\t\t// Since updateParentDomPointers keeps _dom pointer correct,\n\t\t\t// we can rely on _dom to tell us if this subtree contains a\n\t\t\t// rendered DOM node, and what the first rendered DOM node is\n\t\t\treturn sibling._dom;\n\t\t}\n\t}\n\n\t// If we get here, we have not found a DOM node in this vnode's children.\n\t// We must resume from this vnode's sibling (in it's parent _children array)\n\t// Only climb up and search the parent if we aren't searching through a DOM\n\t// VNode (meaning we reached the DOM parent of the original vnode that began\n\t// the search)\n\treturn typeof vnode.type == 'function' ? getDomSibling(vnode) : null;\n}\n\n/**\n * Trigger in-place re-rendering of a component.\n * @param {import('./internal').Component} component The component to rerender\n */\nfunction renderComponent(component) {\n\tlet vnode = component._vnode,\n\t\toldDom = vnode._dom,\n\t\tparentDom = component._parentDom;\n\n\tif (parentDom) {\n\t\tlet commitQueue = [];\n\t\tconst oldVNode = assign({}, vnode);\n\t\toldVNode._original = oldVNode;\n\n\t\tlet newDom = diff(\n\t\t\tparentDom,\n\t\t\tvnode,\n\t\t\toldVNode,\n\t\t\tcomponent._globalContext,\n\t\t\tparentDom.ownerSVGElement !== undefined,\n\t\t\tnull,\n\t\t\tcommitQueue,\n\t\t\toldDom == null ? getDomSibling(vnode) : oldDom\n\t\t);\n\t\tcommitRoot(commitQueue, vnode);\n\n\t\tif (newDom != oldDom) {\n\t\t\tupdateParentDomPointers(vnode);\n\t\t}\n\t}\n}\n\n/**\n * @param {import('./internal').VNode} vnode\n */\nfunction updateParentDomPointers(vnode) {\n\tif ((vnode = vnode._parent) != null && vnode._component != null) {\n\t\tvnode._dom = vnode._component.base = null;\n\t\tfor (let i = 0; i < vnode._children.length; i++) {\n\t\t\tlet child = vnode._children[i];\n\t\t\tif (child != null && child._dom != null) {\n\t\t\t\tvnode._dom = vnode._component.base = child._dom;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\n\t\treturn updateParentDomPointers(vnode);\n\t}\n}\n\n/**\n * The render queue\n * @type {Array}\n */\nlet rerenderQueue = [];\nlet rerenderCount = 0;\n\n/**\n * Asynchronously schedule a callback\n * @type {(cb: () => void) => void}\n */\n/* istanbul ignore next */\n// Note the following line isn't tree-shaken by rollup cuz of rollup/rollup#2566\nconst defer =\n\ttypeof Promise == 'function'\n\t\t? Promise.prototype.then.bind(Promise.resolve())\n\t\t: setTimeout;\n\n/*\n * The value of `Component.debounce` must asynchronously invoke the passed in callback. It is\n * important that contributors to Preact can consistently reason about what calls to `setState`, etc.\n * do, and when their effects will be applied. See the links below for some further reading on designing\n * asynchronous APIs.\n * * [Designing APIs for Asynchrony](https://blog.izs.me/2013/08/designing-apis-for-asynchrony)\n * * [Callbacks synchronous and asynchronous](https://blog.ometer.com/2011/07/24/callbacks-synchronous-and-asynchronous/)\n */\n\nlet prevDebounce;\n\n/**\n * Enqueue a rerender of a component\n * @param {import('./internal').Component} c The component to rerender\n */\nexport function enqueueRender(c) {\n\tif (\n\t\t(!c._dirty &&\n\t\t\t(c._dirty = true) &&\n\t\t\trerenderQueue.push(c) &&\n\t\t\t!rerenderCount++) ||\n\t\tprevDebounce !== options.debounceRendering\n\t) {\n\t\tprevDebounce = options.debounceRendering;\n\t\t(prevDebounce || defer)(process);\n\t}\n}\n\n/** Flush the render queue by rerendering all queued components */\nfunction process() {\n\tlet queue;\n\twhile ((rerenderCount = rerenderQueue.length)) {\n\t\tqueue = rerenderQueue.sort((a, b) => a._vnode._depth - b._vnode._depth);\n\t\trerenderQueue = [];\n\t\t// Don't update `renderCount` yet. Keep its value non-zero to prevent unnecessary\n\t\t// process() calls from getting scheduled while `queue` is still being consumed.\n\t\tqueue.some(c => {\n\t\t\tif (c._dirty) renderComponent(c);\n\t\t});\n\t}\n}\n","import { diff, unmount, applyRef } from './index';\nimport { createVNode, Fragment } from '../create-element';\nimport { EMPTY_OBJ, EMPTY_ARR } from '../constants';\nimport { removeNode } from '../util';\nimport { getDomSibling } from '../component';\n\n/**\n * Diff the children of a virtual node\n * @param {import('../internal').PreactElement} parentDom The DOM element whose\n * children are being diffed\n * @param {import('../index').ComponentChildren[]} renderResult\n * @param {import('../internal').VNode} newParentVNode The new virtual\n * node whose children should be diff'ed against oldParentVNode\n * @param {import('../internal').VNode} oldParentVNode The old virtual\n * node whose children should be diff'ed against newParentVNode\n * @param {object} globalContext The current context object - modified by getChildContext\n * @param {boolean} isSvg Whether or not this DOM node is an SVG node\n * @param {Array} excessDomChildren\n * @param {Array} commitQueue List of components\n * which have callbacks to invoke in commitRoot\n * @param {Node | Text} oldDom The current attached DOM\n * element any new dom elements should be placed around. Likely `null` on first\n * render (except when hydrating). Can be a sibling DOM element when diffing\n * Fragments that have siblings. In most cases, it starts out as `oldChildren[0]._dom`.\n * @param {boolean} isHydrating Whether or not we are in hydration\n */\nexport function diffChildren(\n\tparentDom,\n\trenderResult,\n\tnewParentVNode,\n\toldParentVNode,\n\tglobalContext,\n\tisSvg,\n\texcessDomChildren,\n\tcommitQueue,\n\toldDom,\n\tisHydrating\n) {\n\tlet i, j, oldVNode, childVNode, newDom, sibDom, firstChildDom, refs;\n\n\t// This is a compression of oldParentVNode!=null && oldParentVNode != EMPTY_OBJ && oldParentVNode._children || EMPTY_ARR\n\t// as EMPTY_OBJ._children should be `undefined`.\n\tlet oldChildren = (oldParentVNode && oldParentVNode._children) || EMPTY_ARR;\n\n\tlet oldChildrenLength = oldChildren.length;\n\n\t// Only in very specific places should this logic be invoked (top level `render` and `diffElementNodes`).\n\t// I'm using `EMPTY_OBJ` to signal when `diffChildren` is invoked in these situations. I can't use `null`\n\t// for this purpose, because `null` is a valid value for `oldDom` which can mean to skip to this logic\n\t// (e.g. if mounting a new tree in which the old DOM should be ignored (usually for Fragments).\n\tif (oldDom == EMPTY_OBJ) {\n\t\tif (excessDomChildren != null) {\n\t\t\toldDom = excessDomChildren[0];\n\t\t} else if (oldChildrenLength) {\n\t\t\toldDom = getDomSibling(oldParentVNode, 0);\n\t\t} else {\n\t\t\toldDom = null;\n\t\t}\n\t}\n\n\tnewParentVNode._children = [];\n\tfor (i = 0; i < renderResult.length; i++) {\n\t\tchildVNode = renderResult[i];\n\n\t\tif (childVNode == null || typeof childVNode == 'boolean') {\n\t\t\tchildVNode = newParentVNode._children[i] = null;\n\t\t}\n\t\t// If this newVNode is being reused (e.g.
{reuse}{reuse}
) in the same diff,\n\t\t// or we are rendering a component (e.g. setState) copy the oldVNodes so it can have\n\t\t// it's own DOM & etc. pointers\n\t\telse if (typeof childVNode == 'string' || typeof childVNode == 'number') {\n\t\t\tchildVNode = newParentVNode._children[i] = createVNode(\n\t\t\t\tnull,\n\t\t\t\tchildVNode,\n\t\t\t\tnull,\n\t\t\t\tnull,\n\t\t\t\tchildVNode\n\t\t\t);\n\t\t} else if (Array.isArray(childVNode)) {\n\t\t\tchildVNode = newParentVNode._children[i] = createVNode(\n\t\t\t\tFragment,\n\t\t\t\t{ children: childVNode },\n\t\t\t\tnull,\n\t\t\t\tnull,\n\t\t\t\tnull\n\t\t\t);\n\t\t} else if (childVNode._dom != null || childVNode._component != null) {\n\t\t\tchildVNode = newParentVNode._children[i] = createVNode(\n\t\t\t\tchildVNode.type,\n\t\t\t\tchildVNode.props,\n\t\t\t\tchildVNode.key,\n\t\t\t\tnull,\n\t\t\t\tchildVNode._original\n\t\t\t);\n\t\t} else {\n\t\t\tchildVNode = newParentVNode._children[i] = childVNode;\n\t\t}\n\n\t\t// Terser removes the `continue` here and wraps the loop body\n\t\t// in a `if (childVNode) { ... } condition\n\t\tif (childVNode == null) {\n\t\t\tcontinue;\n\t\t}\n\n\t\tchildVNode._parent = newParentVNode;\n\t\tchildVNode._depth = newParentVNode._depth + 1;\n\n\t\t// Check if we find a corresponding element in oldChildren.\n\t\t// If found, delete the array item by setting to `undefined`.\n\t\t// We use `undefined`, as `null` is reserved for empty placeholders\n\t\t// (holes).\n\t\toldVNode = oldChildren[i];\n\n\t\tif (\n\t\t\toldVNode === null ||\n\t\t\t(oldVNode &&\n\t\t\t\tchildVNode.key == oldVNode.key &&\n\t\t\t\tchildVNode.type === oldVNode.type)\n\t\t) {\n\t\t\toldChildren[i] = undefined;\n\t\t} else {\n\t\t\t// Either oldVNode === undefined or oldChildrenLength > 0,\n\t\t\t// so after this loop oldVNode == null or oldVNode is a valid value.\n\t\t\tfor (j = 0; j < oldChildrenLength; j++) {\n\t\t\t\toldVNode = oldChildren[j];\n\t\t\t\t// If childVNode is unkeyed, we only match similarly unkeyed nodes, otherwise we match by key.\n\t\t\t\t// We always match by type (in either case).\n\t\t\t\tif (\n\t\t\t\t\toldVNode &&\n\t\t\t\t\tchildVNode.key == oldVNode.key &&\n\t\t\t\t\tchildVNode.type === oldVNode.type\n\t\t\t\t) {\n\t\t\t\t\toldChildren[j] = undefined;\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t\toldVNode = null;\n\t\t\t}\n\t\t}\n\n\t\toldVNode = oldVNode || EMPTY_OBJ;\n\n\t\t// Morph the old element into the new one, but don't append it to the dom yet\n\t\tnewDom = diff(\n\t\t\tparentDom,\n\t\t\tchildVNode,\n\t\t\toldVNode,\n\t\t\tglobalContext,\n\t\t\tisSvg,\n\t\t\texcessDomChildren,\n\t\t\tcommitQueue,\n\t\t\toldDom,\n\t\t\tisHydrating\n\t\t);\n\n\t\tif ((j = childVNode.ref) && oldVNode.ref != j) {\n\t\t\tif (!refs) refs = [];\n\t\t\tif (oldVNode.ref) refs.push(oldVNode.ref, null, childVNode);\n\t\t\trefs.push(j, childVNode._component || newDom, childVNode);\n\t\t}\n\n\t\t// Only proceed if the vnode has not been unmounted by `diff()` above.\n\t\tif (newDom != null) {\n\t\t\tif (firstChildDom == null) {\n\t\t\t\tfirstChildDom = newDom;\n\t\t\t}\n\n\t\t\tlet nextDom;\n\t\t\tif (childVNode._nextDom !== undefined) {\n\t\t\t\t// Only Fragments or components that return Fragment like VNodes will\n\t\t\t\t// have a non-undefined _nextDom. Continue the diff from the sibling\n\t\t\t\t// of last DOM child of this child VNode\n\t\t\t\tnextDom = childVNode._nextDom;\n\n\t\t\t\t// Eagerly cleanup _nextDom. We don't need to persist the value because\n\t\t\t\t// it is only used by `diffChildren` to determine where to resume the diff after\n\t\t\t\t// diffing Components and Fragments. Once we store it the nextDOM local var, we\n\t\t\t\t// can clean up the property\n\t\t\t\tchildVNode._nextDom = undefined;\n\t\t\t} else if (\n\t\t\t\texcessDomChildren == oldVNode ||\n\t\t\t\tnewDom != oldDom ||\n\t\t\t\tnewDom.parentNode == null\n\t\t\t) {\n\t\t\t\t// NOTE: excessDomChildren==oldVNode above:\n\t\t\t\t// This is a compression of excessDomChildren==null && oldVNode==null!\n\t\t\t\t// The values only have the same type when `null`.\n\n\t\t\t\touter: if (oldDom == null || oldDom.parentNode !== parentDom) {\n\t\t\t\t\tparentDom.appendChild(newDom);\n\t\t\t\t\tnextDom = null;\n\t\t\t\t} else {\n\t\t\t\t\t// `j} excessDomChildren\n * @param {Array} commitQueue List of components\n * which have callbacks to invoke in commitRoot\n * @param {Element | Text} oldDom The current attached DOM\n * element any new dom elements should be placed around. Likely `null` on first\n * render (except when hydrating). Can be a sibling DOM element when diffing\n * Fragments that have siblings. In most cases, it starts out as `oldChildren[0]._dom`.\n * @param {boolean} [isHydrating] Whether or not we are in hydration\n */\nexport function diff(\n\tparentDom,\n\tnewVNode,\n\toldVNode,\n\tglobalContext,\n\tisSvg,\n\texcessDomChildren,\n\tcommitQueue,\n\toldDom,\n\tisHydrating\n) {\n\tlet tmp,\n\t\tnewType = newVNode.type;\n\n\t// When passing through createElement it assigns the object\n\t// constructor as undefined. This to prevent JSON-injection.\n\tif (newVNode.constructor !== undefined) return null;\n\n\tif ((tmp = options._diff)) tmp(newVNode);\n\n\ttry {\n\t\touter: if (typeof newType == 'function') {\n\t\t\tlet c, isNew, oldProps, oldState, snapshot, clearProcessingException;\n\t\t\tlet newProps = newVNode.props;\n\n\t\t\t// Necessary for createContext api. Setting this property will pass\n\t\t\t// the context value as `this.context` just for this component.\n\t\t\ttmp = newType.contextType;\n\t\t\tlet provider = tmp && globalContext[tmp._id];\n\t\t\tlet componentContext = tmp\n\t\t\t\t? provider\n\t\t\t\t\t? provider.props.value\n\t\t\t\t\t: tmp._defaultValue\n\t\t\t\t: globalContext;\n\n\t\t\t// Get component and set it to `c`\n\t\t\tif (oldVNode._component) {\n\t\t\t\tc = newVNode._component = oldVNode._component;\n\t\t\t\tclearProcessingException = c._processingException = c._pendingError;\n\t\t\t} else {\n\t\t\t\t// Instantiate the new component\n\t\t\t\tif ('prototype' in newType && newType.prototype.render) {\n\t\t\t\t\tnewVNode._component = c = new newType(newProps, componentContext); // eslint-disable-line new-cap\n\t\t\t\t} else {\n\t\t\t\t\tnewVNode._component = c = new Component(newProps, componentContext);\n\t\t\t\t\tc.constructor = newType;\n\t\t\t\t\tc.render = doRender;\n\t\t\t\t}\n\t\t\t\tif (provider) provider.sub(c);\n\n\t\t\t\tc.props = newProps;\n\t\t\t\tif (!c.state) c.state = {};\n\t\t\t\tc.context = componentContext;\n\t\t\t\tc._globalContext = globalContext;\n\t\t\t\tisNew = c._dirty = true;\n\t\t\t\tc._renderCallbacks = [];\n\t\t\t}\n\n\t\t\t// Invoke getDerivedStateFromProps\n\t\t\tif (c._nextState == null) {\n\t\t\t\tc._nextState = c.state;\n\t\t\t}\n\t\t\tif (newType.getDerivedStateFromProps != null) {\n\t\t\t\tif (c._nextState == c.state) {\n\t\t\t\t\tc._nextState = assign({}, c._nextState);\n\t\t\t\t}\n\n\t\t\t\tassign(\n\t\t\t\t\tc._nextState,\n\t\t\t\t\tnewType.getDerivedStateFromProps(newProps, c._nextState)\n\t\t\t\t);\n\t\t\t}\n\n\t\t\toldProps = c.props;\n\t\t\toldState = c.state;\n\n\t\t\t// Invoke pre-render lifecycle methods\n\t\t\tif (isNew) {\n\t\t\t\tif (\n\t\t\t\t\tnewType.getDerivedStateFromProps == null &&\n\t\t\t\t\tc.componentWillMount != null\n\t\t\t\t) {\n\t\t\t\t\tc.componentWillMount();\n\t\t\t\t}\n\n\t\t\t\tif (c.componentDidMount != null) {\n\t\t\t\t\tc._renderCallbacks.push(c.componentDidMount);\n\t\t\t\t}\n\t\t\t} else {\n\t\t\t\tif (\n\t\t\t\t\tnewType.getDerivedStateFromProps == null &&\n\t\t\t\t\tnewProps !== oldProps &&\n\t\t\t\t\tc.componentWillReceiveProps != null\n\t\t\t\t) {\n\t\t\t\t\tc.componentWillReceiveProps(newProps, componentContext);\n\t\t\t\t}\n\n\t\t\t\tif (\n\t\t\t\t\t(!c._force &&\n\t\t\t\t\t\tc.shouldComponentUpdate != null &&\n\t\t\t\t\t\tc.shouldComponentUpdate(\n\t\t\t\t\t\t\tnewProps,\n\t\t\t\t\t\t\tc._nextState,\n\t\t\t\t\t\t\tcomponentContext\n\t\t\t\t\t\t) === false) ||\n\t\t\t\t\tnewVNode._original === oldVNode._original\n\t\t\t\t) {\n\t\t\t\t\tc.props = newProps;\n\t\t\t\t\tc.state = c._nextState;\n\t\t\t\t\t// More info about this here: https://gist.github.com/JoviDeCroock/bec5f2ce93544d2e6070ef8e0036e4e8\n\t\t\t\t\tif (newVNode._original !== oldVNode._original) c._dirty = false;\n\t\t\t\t\tc._vnode = newVNode;\n\t\t\t\t\tnewVNode._dom = oldVNode._dom;\n\t\t\t\t\tnewVNode._children = oldVNode._children;\n\t\t\t\t\tif (c._renderCallbacks.length) {\n\t\t\t\t\t\tcommitQueue.push(c);\n\t\t\t\t\t}\n\n\t\t\t\t\tfor (tmp = 0; tmp < newVNode._children.length; tmp++) {\n\t\t\t\t\t\tif (newVNode._children[tmp]) {\n\t\t\t\t\t\t\tnewVNode._children[tmp]._parent = newVNode;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\n\t\t\t\t\tbreak outer;\n\t\t\t\t}\n\n\t\t\t\tif (c.componentWillUpdate != null) {\n\t\t\t\t\tc.componentWillUpdate(newProps, c._nextState, componentContext);\n\t\t\t\t}\n\n\t\t\t\tif (c.componentDidUpdate != null) {\n\t\t\t\t\tc._renderCallbacks.push(() => {\n\t\t\t\t\t\tc.componentDidUpdate(oldProps, oldState, snapshot);\n\t\t\t\t\t});\n\t\t\t\t}\n\t\t\t}\n\n\t\t\tc.context = componentContext;\n\t\t\tc.props = newProps;\n\t\t\tc.state = c._nextState;\n\n\t\t\tif ((tmp = options._render)) tmp(newVNode);\n\n\t\t\tc._dirty = false;\n\t\t\tc._vnode = newVNode;\n\t\t\tc._parentDom = parentDom;\n\n\t\t\ttmp = c.render(c.props, c.state, c.context);\n\n\t\t\tif (c.getChildContext != null) {\n\t\t\t\tglobalContext = assign(assign({}, globalContext), c.getChildContext());\n\t\t\t}\n\n\t\t\tif (!isNew && c.getSnapshotBeforeUpdate != null) {\n\t\t\t\tsnapshot = c.getSnapshotBeforeUpdate(oldProps, oldState);\n\t\t\t}\n\n\t\t\tlet isTopLevelFragment =\n\t\t\t\ttmp != null && tmp.type == Fragment && tmp.key == null;\n\t\t\tlet renderResult = isTopLevelFragment ? tmp.props.children : tmp;\n\n\t\t\tdiffChildren(\n\t\t\t\tparentDom,\n\t\t\t\tArray.isArray(renderResult) ? renderResult : [renderResult],\n\t\t\t\tnewVNode,\n\t\t\t\toldVNode,\n\t\t\t\tglobalContext,\n\t\t\t\tisSvg,\n\t\t\t\texcessDomChildren,\n\t\t\t\tcommitQueue,\n\t\t\t\toldDom,\n\t\t\t\tisHydrating\n\t\t\t);\n\n\t\t\tc.base = newVNode._dom;\n\n\t\t\tif (c._renderCallbacks.length) {\n\t\t\t\tcommitQueue.push(c);\n\t\t\t}\n\n\t\t\tif (clearProcessingException) {\n\t\t\t\tc._pendingError = c._processingException = null;\n\t\t\t}\n\n\t\t\tc._force = false;\n\t\t} else if (\n\t\t\texcessDomChildren == null &&\n\t\t\tnewVNode._original === oldVNode._original\n\t\t) {\n\t\t\tnewVNode._children = oldVNode._children;\n\t\t\tnewVNode._dom = oldVNode._dom;\n\t\t} else {\n\t\t\tnewVNode._dom = diffElementNodes(\n\t\t\t\toldVNode._dom,\n\t\t\t\tnewVNode,\n\t\t\t\toldVNode,\n\t\t\t\tglobalContext,\n\t\t\t\tisSvg,\n\t\t\t\texcessDomChildren,\n\t\t\t\tcommitQueue,\n\t\t\t\tisHydrating\n\t\t\t);\n\t\t}\n\n\t\tif ((tmp = options.diffed)) tmp(newVNode);\n\t} catch (e) {\n\t\tnewVNode._original = null;\n\t\toptions._catchError(e, newVNode, oldVNode);\n\t}\n\n\treturn newVNode._dom;\n}\n\n/**\n * @param {Array} commitQueue List of components\n * which have callbacks to invoke in commitRoot\n * @param {import('../internal').VNode} root\n */\nexport function commitRoot(commitQueue, root) {\n\tif (options._commit) options._commit(root, commitQueue);\n\n\tcommitQueue.some(c => {\n\t\ttry {\n\t\t\tcommitQueue = c._renderCallbacks;\n\t\t\tc._renderCallbacks = [];\n\t\t\tcommitQueue.some(cb => {\n\t\t\t\tcb.call(c);\n\t\t\t});\n\t\t} catch (e) {\n\t\t\toptions._catchError(e, c._vnode);\n\t\t}\n\t});\n}\n\n/**\n * Diff two virtual nodes representing DOM element\n * @param {import('../internal').PreactElement} dom The DOM element representing\n * the virtual nodes being diffed\n * @param {import('../internal').VNode} newVNode The new virtual node\n * @param {import('../internal').VNode} oldVNode The old virtual node\n * @param {object} globalContext The current context object\n * @param {boolean} isSvg Whether or not this DOM node is an SVG node\n * @param {*} excessDomChildren\n * @param {Array} commitQueue List of components\n * which have callbacks to invoke in commitRoot\n * @param {boolean} isHydrating Whether or not we are in hydration\n * @returns {import('../internal').PreactElement}\n */\nfunction diffElementNodes(\n\tdom,\n\tnewVNode,\n\toldVNode,\n\tglobalContext,\n\tisSvg,\n\texcessDomChildren,\n\tcommitQueue,\n\tisHydrating\n) {\n\tlet i;\n\tlet oldProps = oldVNode.props;\n\tlet newProps = newVNode.props;\n\n\t// Tracks entering and exiting SVG namespace when descending through the tree.\n\tisSvg = newVNode.type === 'svg' || isSvg;\n\n\tif (excessDomChildren != null) {\n\t\tfor (i = 0; i < excessDomChildren.length; i++) {\n\t\t\tconst child = excessDomChildren[i];\n\n\t\t\t// if newVNode matches an element in excessDomChildren or the `dom`\n\t\t\t// argument matches an element in excessDomChildren, remove it from\n\t\t\t// excessDomChildren so it isn't later removed in diffChildren\n\t\t\tif (\n\t\t\t\tchild != null &&\n\t\t\t\t((newVNode.type === null\n\t\t\t\t\t? child.nodeType === 3\n\t\t\t\t\t: child.localName === newVNode.type) ||\n\t\t\t\t\tdom == child)\n\t\t\t) {\n\t\t\t\tdom = child;\n\t\t\t\texcessDomChildren[i] = null;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\t}\n\n\tif (dom == null) {\n\t\tif (newVNode.type === null) {\n\t\t\treturn document.createTextNode(newProps);\n\t\t}\n\n\t\tdom = isSvg\n\t\t\t? document.createElementNS('http://www.w3.org/2000/svg', newVNode.type)\n\t\t\t: document.createElement(\n\t\t\t\t\tnewVNode.type,\n\t\t\t\t\tnewProps.is && { is: newProps.is }\n\t\t\t );\n\t\t// we created a new parent, so none of the previously attached children can be reused:\n\t\texcessDomChildren = null;\n\t\t// we are creating a new node, so we can assume this is a new subtree (in case we are hydrating), this deopts the hydrate\n\t\tisHydrating = false;\n\t}\n\n\tif (newVNode.type === null) {\n\t\tif (oldProps !== newProps && dom.data != newProps) {\n\t\t\tdom.data = newProps;\n\t\t}\n\t} else {\n\t\tif (excessDomChildren != null) {\n\t\t\texcessDomChildren = EMPTY_ARR.slice.call(dom.childNodes);\n\t\t}\n\n\t\toldProps = oldVNode.props || EMPTY_OBJ;\n\n\t\tlet oldHtml = oldProps.dangerouslySetInnerHTML;\n\t\tlet newHtml = newProps.dangerouslySetInnerHTML;\n\n\t\t// During hydration, props are not diffed at all (including dangerouslySetInnerHTML)\n\t\t// @TODO we should warn in debug mode when props don't match here.\n\t\tif (!isHydrating) {\n\t\t\t// But, if we are in a situation where we are using existing DOM (e.g. replaceNode)\n\t\t\t// we should read the existing DOM attributes to diff them\n\t\t\tif (excessDomChildren != null) {\n\t\t\t\toldProps = {};\n\t\t\t\tfor (let i = 0; i < dom.attributes.length; i++) {\n\t\t\t\t\toldProps[dom.attributes[i].name] = dom.attributes[i].value;\n\t\t\t\t}\n\t\t\t}\n\n\t\t\tif (newHtml || oldHtml) {\n\t\t\t\t// Avoid re-applying the same '__html' if it did not changed between re-render\n\t\t\t\tif (!newHtml || !oldHtml || newHtml.__html != oldHtml.__html) {\n\t\t\t\t\tdom.innerHTML = (newHtml && newHtml.__html) || '';\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\n\t\tdiffProps(dom, newProps, oldProps, isSvg, isHydrating);\n\n\t\t// If the new vnode didn't have dangerouslySetInnerHTML, diff its children\n\t\tif (newHtml) {\n\t\t\tnewVNode._children = [];\n\t\t} else {\n\t\t\ti = newVNode.props.children;\n\t\t\tdiffChildren(\n\t\t\t\tdom,\n\t\t\t\tArray.isArray(i) ? i : [i],\n\t\t\t\tnewVNode,\n\t\t\t\toldVNode,\n\t\t\t\tglobalContext,\n\t\t\t\tnewVNode.type === 'foreignObject' ? false : isSvg,\n\t\t\t\texcessDomChildren,\n\t\t\t\tcommitQueue,\n\t\t\t\tEMPTY_OBJ,\n\t\t\t\tisHydrating\n\t\t\t);\n\t\t}\n\n\t\t// (as above, don't diff props during hydration)\n\t\tif (!isHydrating) {\n\t\t\tif (\n\t\t\t\t'value' in newProps &&\n\t\t\t\t(i = newProps.value) !== undefined &&\n\t\t\t\ti !== dom.value\n\t\t\t) {\n\t\t\t\tsetProperty(dom, 'value', i, oldProps.value, false);\n\t\t\t}\n\t\t\tif (\n\t\t\t\t'checked' in newProps &&\n\t\t\t\t(i = newProps.checked) !== undefined &&\n\t\t\t\ti !== dom.checked\n\t\t\t) {\n\t\t\t\tsetProperty(dom, 'checked', i, oldProps.checked, false);\n\t\t\t}\n\t\t}\n\t}\n\n\treturn dom;\n}\n\n/**\n * Invoke or update a ref, depending on whether it is a function or object ref.\n * @param {object|function} ref\n * @param {any} value\n * @param {import('../internal').VNode} vnode\n */\nexport function applyRef(ref, value, vnode) {\n\ttry {\n\t\tif (typeof ref == 'function') ref(value);\n\t\telse ref.current = value;\n\t} catch (e) {\n\t\toptions._catchError(e, vnode);\n\t}\n}\n\n/**\n * Unmount a virtual node from the tree and apply DOM changes\n * @param {import('../internal').VNode} vnode The virtual node to unmount\n * @param {import('../internal').VNode} parentVNode The parent of the VNode that\n * initiated the unmount\n * @param {boolean} [skipRemove] Flag that indicates that a parent node of the\n * current element is already detached from the DOM.\n */\nexport function unmount(vnode, parentVNode, skipRemove) {\n\tlet r;\n\tif (options.unmount) options.unmount(vnode);\n\n\tif ((r = vnode.ref)) {\n\t\tif (!r.current || r.current === vnode._dom) applyRef(r, null, parentVNode);\n\t}\n\n\tlet dom;\n\tif (!skipRemove && typeof vnode.type != 'function') {\n\t\tskipRemove = (dom = vnode._dom) != null;\n\t}\n\n\t// Must be set to `undefined` to properly clean up `_nextDom`\n\t// for which `null` is a valid value. See comment in `create-element.js`\n\tvnode._dom = vnode._nextDom = undefined;\n\n\tif ((r = vnode._component) != null) {\n\t\tif (r.componentWillUnmount) {\n\t\t\ttry {\n\t\t\t\tr.componentWillUnmount();\n\t\t\t} catch (e) {\n\t\t\t\toptions._catchError(e, parentVNode);\n\t\t\t}\n\t\t}\n\n\t\tr.base = r._parentDom = null;\n\t}\n\n\tif ((r = vnode._children)) {\n\t\tfor (let i = 0; i < r.length; i++) {\n\t\t\tif (r[i]) unmount(r[i], parentVNode, skipRemove);\n\t\t}\n\t}\n\n\tif (dom != null) removeNode(dom);\n}\n\n/** The `.render()` method for a PFC backing instance. */\nfunction doRender(props, state, context) {\n\treturn this.constructor(props, context);\n}\n","import { EMPTY_OBJ, EMPTY_ARR } from './constants';\nimport { commitRoot, diff } from './diff/index';\nimport { createElement, Fragment } from './create-element';\nimport options from './options';\n\nconst IS_HYDRATE = EMPTY_OBJ;\n\n/**\n * Render a Preact virtual node into a DOM element\n * @param {import('./index').ComponentChild} vnode The virtual node to render\n * @param {import('./internal').PreactElement} parentDom The DOM element to\n * render into\n * @param {Element | Text} [replaceNode] Optional: Attempt to re-use an\n * existing DOM tree rooted at `replaceNode`\n */\nexport function render(vnode, parentDom, replaceNode) {\n\tif (options._root) options._root(vnode, parentDom);\n\n\t// We abuse the `replaceNode` parameter in `hydrate()` to signal if we\n\t// are in hydration mode or not by passing `IS_HYDRATE` instead of a\n\t// DOM element.\n\tlet isHydrating = replaceNode === IS_HYDRATE;\n\n\t// To be able to support calling `render()` multiple times on the same\n\t// DOM node, we need to obtain a reference to the previous tree. We do\n\t// this by assigning a new `_children` property to DOM nodes which points\n\t// to the last rendered tree. By default this property is not present, which\n\t// means that we are mounting a new tree for the first time.\n\tlet oldVNode = isHydrating\n\t\t? null\n\t\t: (replaceNode && replaceNode._children) || parentDom._children;\n\tvnode = createElement(Fragment, null, [vnode]);\n\n\t// List of effects that need to be called after diffing.\n\tlet commitQueue = [];\n\tdiff(\n\t\tparentDom,\n\t\t// Determine the new vnode tree and store it on the DOM element on\n\t\t// our custom `_children` property.\n\t\t((isHydrating ? parentDom : replaceNode || parentDom)._children = vnode),\n\t\toldVNode || EMPTY_OBJ,\n\t\tEMPTY_OBJ,\n\t\tparentDom.ownerSVGElement !== undefined,\n\t\treplaceNode && !isHydrating\n\t\t\t? [replaceNode]\n\t\t\t: oldVNode\n\t\t\t? null\n\t\t\t: parentDom.childNodes.length\n\t\t\t? EMPTY_ARR.slice.call(parentDom.childNodes)\n\t\t\t: null,\n\t\tcommitQueue,\n\t\treplaceNode || EMPTY_OBJ,\n\t\tisHydrating\n\t);\n\n\t// Flush all queued effects\n\tcommitRoot(commitQueue, vnode);\n}\n\n/**\n * Update an existing DOM element with data from a Preact virtual node\n * @param {import('./index').ComponentChild} vnode The virtual node to render\n * @param {import('./internal').PreactElement} parentDom The DOM element to\n * update\n */\nexport function hydrate(vnode, parentDom) {\n\trender(vnode, parentDom, IS_HYDRATE);\n}\n","import { assign } from './util';\nimport { EMPTY_ARR } from './constants';\nimport { createVNode } from './create-element';\n\n/**\n * Clones the given VNode, optionally adding attributes/props and replacing its children.\n * @param {import('./internal').VNode} vnode The virtual DOM element to clone\n * @param {object} props Attributes/props to add when cloning\n * @param {Array} rest Any additional arguments will be used as replacement children.\n * @returns {import('./internal').VNode}\n */\nexport function cloneElement(vnode, props) {\n\tprops = assign(assign({}, vnode.props), props);\n\tif (arguments.length > 2) props.children = EMPTY_ARR.slice.call(arguments, 2);\n\tlet normalizedProps = {};\n\tfor (const i in props) {\n\t\tif (i !== 'key' && i !== 'ref') normalizedProps[i] = props[i];\n\t}\n\n\treturn createVNode(\n\t\tvnode.type,\n\t\tnormalizedProps,\n\t\tprops.key || vnode.key,\n\t\tprops.ref || vnode.ref,\n\t\tnull\n\t);\n}\n","import { enqueueRender } from './component';\n\nexport let i = 0;\n\nexport function createContext(defaultValue) {\n\tconst ctx = {};\n\n\tconst context = {\n\t\t_id: '__cC' + i++,\n\t\t_defaultValue: defaultValue,\n\t\tConsumer(props, context) {\n\t\t\treturn props.children(context);\n\t\t},\n\t\tProvider(props) {\n\t\t\tif (!this.getChildContext) {\n\t\t\t\tconst subs = [];\n\t\t\t\tthis.getChildContext = () => {\n\t\t\t\t\tctx[context._id] = this;\n\t\t\t\t\treturn ctx;\n\t\t\t\t};\n\n\t\t\t\tthis.shouldComponentUpdate = _props => {\n\t\t\t\t\tif (this.props.value !== _props.value) {\n\t\t\t\t\t\tsubs.some(c => {\n\t\t\t\t\t\t\tc.context = _props.value;\n\t\t\t\t\t\t\tenqueueRender(c);\n\t\t\t\t\t\t});\n\t\t\t\t\t}\n\t\t\t\t};\n\n\t\t\t\tthis.sub = c => {\n\t\t\t\t\tsubs.push(c);\n\t\t\t\t\tlet old = c.componentWillUnmount;\n\t\t\t\t\tc.componentWillUnmount = () => {\n\t\t\t\t\t\tsubs.splice(subs.indexOf(c), 1);\n\t\t\t\t\t\told && old.call(c);\n\t\t\t\t\t};\n\t\t\t\t};\n\t\t\t}\n\n\t\t\treturn props.children;\n\t\t}\n\t};\n\n\tcontext.Consumer.contextType = context;\n\n\t// Devtools needs access to the context object when it\n\t// encounters a Provider. This is necessary to support\n\t// setting `displayName` on the context object instead\n\t// of on the component itself. See:\n\t// https://reactjs.org/docs/context.html#contextdisplayname\n\tcontext.Provider._contextRef = context;\n\n\treturn context;\n}\n","export const EMPTY_OBJ = {};\nexport const EMPTY_ARR = [];\nexport const IS_NON_DIMENSIONAL = /acit|ex(?:s|g|n|p|$)|rph|grid|ows|mnc|ntw|ine[ch]|zoo|^ord|itera/i;\n","import { _catchError } from './diff/catch-error';\n\n/**\n * The `option` object can potentially contain callback functions\n * that are called during various stages of our renderer. This is the\n * foundation on which all our addons like `preact/debug`, `preact/compat`,\n * and `preact/hooks` are based on. See the `Options` type in `internal.d.ts`\n * for a full list of available option hooks (most editors/IDEs allow you to\n * ctrl+click or cmd+click on mac the type definition below).\n * @type {import('./internal').Options}\n */\nconst options = {\n\t_catchError\n};\n\nexport default options;\n","import { enqueueRender } from '../component';\n\n/**\n * Find the closest error boundary to a thrown error and call it\n * @param {object} error The thrown value\n * @param {import('../internal').VNode} vnode The vnode that threw\n * the error that was caught (except for unmounting when this parameter\n * is the highest parent that was being unmounted)\n */\nexport function _catchError(error, vnode) {\n\t/** @type {import('../internal').Component} */\n\tlet component, hasCaught;\n\n\tfor (; (vnode = vnode._parent); ) {\n\t\tif ((component = vnode._component) && !component._processingException) {\n\t\t\ttry {\n\t\t\t\tif (\n\t\t\t\t\tcomponent.constructor &&\n\t\t\t\t\tcomponent.constructor.getDerivedStateFromError != null\n\t\t\t\t) {\n\t\t\t\t\thasCaught = true;\n\t\t\t\t\tcomponent.setState(\n\t\t\t\t\t\tcomponent.constructor.getDerivedStateFromError(error)\n\t\t\t\t\t);\n\t\t\t\t}\n\n\t\t\t\tif (component.componentDidCatch != null) {\n\t\t\t\t\thasCaught = true;\n\t\t\t\t\tcomponent.componentDidCatch(error);\n\t\t\t\t}\n\n\t\t\t\tif (hasCaught)\n\t\t\t\t\treturn enqueueRender((component._pendingError = component));\n\t\t\t} catch (e) {\n\t\t\t\terror = e;\n\t\t\t}\n\t\t}\n\t}\n\n\tthrow error;\n}\n","/* global __webpack_public_path__ */\n\nimport * as Preact from 'preact';\nconst { h, render, hydrate } = Preact;\n\nconst interopDefault = m => (m && m.default ? m.default : m);\n\nconst normalizeURL = url => (url[url.length - 1] === '/' ? url : url + '/');\n\nif (process.env.NODE_ENV === 'development') {\n\t// enable preact devtools\n\trequire('preact/debug');\n\tif (process.env.RHL) {\n\t\t// enable hot loader\n\t\tconst hotLoader = interopDefault(require('react-hot-loader'));\n\t\thotLoader.preact(interopDefault(require('preact')));\n\t}\n\t// only add a debug sw if webpack service worker is not requested.\n\tif (process.env.ADD_SW === undefined && 'serviceWorker' in navigator) {\n\t\t// eslint-disable-next-line no-undef\n\t\tnavigator.serviceWorker.register(__webpack_public_path__ + 'sw-debug.js');\n\t} else if (process.env.ADD_SW && 'serviceWorker' in navigator) {\n\t\t// eslint-disable-next-line no-undef\n\t\tnavigator.serviceWorker.register(\n\t\t\t__webpack_public_path__ + (process.env.ES_BUILD ? 'sw-esm.js' : 'sw.js')\n\t\t);\n\t}\n} else if (process.env.ADD_SW && 'serviceWorker' in navigator) {\n\t// eslint-disable-next-line no-undef\n\tnavigator.serviceWorker.register(\n\t\t__webpack_public_path__ + (process.env.ES_BUILD ? 'sw-esm.js' : 'sw.js')\n\t);\n}\n\nlet app = interopDefault(require('preact-cli-entrypoint'));\n\nif (typeof app === 'function') {\n\tlet root =\n\t\tdocument.getElementById('preact_root') || document.body.firstElementChild;\n\n\tlet init = () => {\n\t\tlet app = interopDefault(require('preact-cli-entrypoint'));\n\t\tlet preRenderData = {};\n\t\tconst inlineDataElement = document.querySelector(\n\t\t\t'[type=\"__PREACT_CLI_DATA__\"]'\n\t\t);\n\t\tif (inlineDataElement) {\n\t\t\tpreRenderData =\n\t\t\t\tJSON.parse(inlineDataElement.innerHTML).preRenderData || preRenderData;\n\t\t}\n\t\t/* An object named CLI_DATA is passed as a prop,\n\t\t * this keeps us future proof if in case we decide,\n\t\t * to send other data like at some point in time.\n\t\t */\n\t\tconst CLI_DATA = { preRenderData };\n\t\tconst currentURL = preRenderData.url ? normalizeURL(preRenderData.url) : '';\n\t\tconst canHydrate =\n\t\t\tprocess.env.PRERENDER &&\n\t\t\tprocess.env.NODE_ENV === 'production' &&\n\t\t\thydrate &&\n\t\t\tcurrentURL === location.pathname;\n\t\tconst doRender = canHydrate ? hydrate : render;\n\t\troot = doRender(h(app, { CLI_DATA }), document.body, root);\n\t};\n\n\tif (module.hot) module.hot.accept('preact-cli-entrypoint', init);\n\n\tinit();\n}\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./Statistica.js\") );\n\t\t\t}, \"route-Statistica\");\n\t\t}\n\n\t\texport default Async(load);\n\t","var g;\n\n// This works in non-strict mode\ng = (function() {\n\treturn this;\n})();\n\ntry {\n\t// This works if eval is allowed (see CSP)\n\tg = g || new Function(\"return this\")();\n} catch (e) {\n\t// This works if the window reference is available\n\tif (typeof window === \"object\") g = window;\n}\n\n// g can still be undefined, but nothing to do about it...\n// We return undefined, instead of nothing here, so it's\n// easier to handle this case. if(!global) { ...}\n\nmodule.exports = g;\n","import { ExtendedError, WrappedFunction } from '@sentry/types';\n\nimport { isElement, isError, isEvent, isInstanceOf, isPlainObject, isPrimitive, isSyntheticEvent } from './is';\nimport { Memo } from './memo';\nimport { getFunctionName, htmlTreeAsString } from './misc';\nimport { truncate } from './string';\n\n/**\n * Wrap a given object method with a higher-order function\n *\n * @param source An object that contains a method to be wrapped.\n * @param name A name of method to be wrapped.\n * @param replacement A function that should be used to wrap a given method.\n * @returns void\n */\nexport function fill(source: { [key: string]: any }, name: string, replacement: (...args: any[]) => any): void {\n if (!(name in source)) {\n return;\n }\n\n const original = source[name] as () => any;\n const wrapped = replacement(original) as WrappedFunction;\n\n // Make sure it's a function first, as we need to attach an empty prototype for `defineProperties` to work\n // otherwise it'll throw \"TypeError: Object.defineProperties called on non-object\"\n // tslint:disable-next-line:strict-type-predicates\n if (typeof wrapped === 'function') {\n try {\n wrapped.prototype = wrapped.prototype || {};\n Object.defineProperties(wrapped, {\n __sentry_original__: {\n enumerable: false,\n value: original,\n },\n });\n } catch (_Oo) {\n // This can throw if multiple fill happens on a global object like XMLHttpRequest\n // Fixes https://github.com/getsentry/sentry-javascript/issues/2043\n }\n }\n\n source[name] = wrapped;\n}\n\n/**\n * Encodes given object into url-friendly format\n *\n * @param object An object that contains serializable values\n * @returns string Encoded\n */\nexport function urlEncode(object: { [key: string]: any }): string {\n return Object.keys(object)\n .map(\n // tslint:disable-next-line:no-unsafe-any\n key => `${encodeURIComponent(key)}=${encodeURIComponent(object[key])}`,\n )\n .join('&');\n}\n\n/**\n * Transforms any object into an object literal with all it's attributes\n * attached to it.\n *\n * @param value Initial source that we have to transform in order to be usable by the serializer\n */\nfunction getWalkSource(\n value: any,\n): {\n [key: string]: any;\n} {\n if (isError(value)) {\n const error = value as ExtendedError;\n const err: {\n stack: string | undefined;\n message: string;\n name: string;\n [key: string]: any;\n } = {\n message: error.message,\n name: error.name,\n stack: error.stack,\n };\n\n for (const i in error) {\n if (Object.prototype.hasOwnProperty.call(error, i)) {\n err[i] = error[i];\n }\n }\n\n return err;\n }\n\n if (isEvent(value)) {\n /**\n * Event-like interface that's usable in browser and node\n */\n interface SimpleEvent {\n [key: string]: unknown;\n type: string;\n target?: unknown;\n currentTarget?: unknown;\n }\n\n const event = value as SimpleEvent;\n\n const source: {\n [key: string]: any;\n } = {};\n\n source.type = event.type;\n\n // Accessing event.target can throw (see getsentry/raven-js#838, #768)\n try {\n source.target = isElement(event.target)\n ? htmlTreeAsString(event.target)\n : Object.prototype.toString.call(event.target);\n } catch (_oO) {\n source.target = '';\n }\n\n try {\n source.currentTarget = isElement(event.currentTarget)\n ? htmlTreeAsString(event.currentTarget)\n : Object.prototype.toString.call(event.currentTarget);\n } catch (_oO) {\n source.currentTarget = '';\n }\n\n // tslint:disable-next-line:strict-type-predicates\n if (typeof CustomEvent !== 'undefined' && isInstanceOf(value, CustomEvent)) {\n source.detail = event.detail;\n }\n\n for (const i in event) {\n if (Object.prototype.hasOwnProperty.call(event, i)) {\n source[i] = event;\n }\n }\n\n return source;\n }\n\n return value as {\n [key: string]: any;\n };\n}\n\n/** Calculates bytes size of input string */\nfunction utf8Length(value: string): number {\n // tslint:disable-next-line:no-bitwise\n return ~-encodeURI(value).split(/%..|./).length;\n}\n\n/** Calculates bytes size of input object */\nfunction jsonSize(value: any): number {\n return utf8Length(JSON.stringify(value));\n}\n\n/** JSDoc */\nexport function normalizeToSize(\n object: { [key: string]: any },\n // Default Node.js REPL depth\n depth: number = 3,\n // 100kB, as 200kB is max payload size, so half sounds reasonable\n maxSize: number = 100 * 1024,\n): T {\n const serialized = normalize(object, depth);\n\n if (jsonSize(serialized) > maxSize) {\n return normalizeToSize(object, depth - 1, maxSize);\n }\n\n return serialized as T;\n}\n\n/** Transforms any input value into a string form, either primitive value or a type of the input */\nfunction serializeValue(value: any): any {\n const type = Object.prototype.toString.call(value);\n\n // Node.js REPL notation\n if (typeof value === 'string') {\n return value;\n }\n if (type === '[object Object]') {\n return '[Object]';\n }\n if (type === '[object Array]') {\n return '[Array]';\n }\n\n const normalized = normalizeValue(value);\n return isPrimitive(normalized) ? normalized : type;\n}\n\n/**\n * normalizeValue()\n *\n * Takes unserializable input and make it serializable friendly\n *\n * - translates undefined/NaN values to \"[undefined]\"/\"[NaN]\" respectively,\n * - serializes Error objects\n * - filter global objects\n */\n// tslint:disable-next-line:cyclomatic-complexity\nfunction normalizeValue(value: T, key?: any): T | string {\n if (key === 'domain' && value && typeof value === 'object' && ((value as unknown) as { _events: any })._events) {\n return '[Domain]';\n }\n\n if (key === 'domainEmitter') {\n return '[DomainEmitter]';\n }\n\n if (typeof (global as any) !== 'undefined' && (value as unknown) === global) {\n return '[Global]';\n }\n\n if (typeof (window as any) !== 'undefined' && (value as unknown) === window) {\n return '[Window]';\n }\n\n if (typeof (document as any) !== 'undefined' && (value as unknown) === document) {\n return '[Document]';\n }\n\n // React's SyntheticEvent thingy\n if (isSyntheticEvent(value)) {\n return '[SyntheticEvent]';\n }\n\n // tslint:disable-next-line:no-tautology-expression\n if (typeof value === 'number' && value !== value) {\n return '[NaN]';\n }\n\n if (value === void 0) {\n return '[undefined]';\n }\n\n if (typeof value === 'function') {\n return `[Function: ${getFunctionName(value)}]`;\n }\n\n return value;\n}\n\n/**\n * Walks an object to perform a normalization on it\n *\n * @param key of object that's walked in current iteration\n * @param value object to be walked\n * @param depth Optional number indicating how deep should walking be performed\n * @param memo Optional Memo class handling decycling\n */\nexport function walk(key: string, value: any, depth: number = +Infinity, memo: Memo = new Memo()): any {\n // If we reach the maximum depth, serialize whatever has left\n if (depth === 0) {\n return serializeValue(value);\n }\n\n // If value implements `toJSON` method, call it and return early\n // tslint:disable:no-unsafe-any\n if (value !== null && value !== undefined && typeof value.toJSON === 'function') {\n return value.toJSON();\n }\n // tslint:enable:no-unsafe-any\n\n // If normalized value is a primitive, there are no branches left to walk, so we can just bail out, as theres no point in going down that branch any further\n const normalized = normalizeValue(value, key);\n if (isPrimitive(normalized)) {\n return normalized;\n }\n\n // Create source that we will use for next itterations, either objectified error object (Error type with extracted keys:value pairs) or the input itself\n const source = getWalkSource(value);\n\n // Create an accumulator that will act as a parent for all future itterations of that branch\n const acc = Array.isArray(value) ? [] : {};\n\n // If we already walked that branch, bail out, as it's circular reference\n if (memo.memoize(value)) {\n return '[Circular ~]';\n }\n\n // Walk all keys of the source\n for (const innerKey in source) {\n // Avoid iterating over fields in the prototype if they've somehow been exposed to enumeration.\n if (!Object.prototype.hasOwnProperty.call(source, innerKey)) {\n continue;\n }\n // Recursively walk through all the child nodes\n (acc as { [key: string]: any })[innerKey] = walk(innerKey, source[innerKey], depth - 1, memo);\n }\n\n // Once walked through all the branches, remove the parent from memo storage\n memo.unmemoize(value);\n\n // Return accumulated values\n return acc;\n}\n\n/**\n * normalize()\n *\n * - Creates a copy to prevent original input mutation\n * - Skip non-enumerablers\n * - Calls `toJSON` if implemented\n * - Removes circular references\n * - Translates non-serializeable values (undefined/NaN/Functions) to serializable format\n * - Translates known global objects/Classes to a string representations\n * - Takes care of Error objects serialization\n * - Optionally limit depth of final output\n */\nexport function normalize(input: any, depth?: number): any {\n try {\n // tslint:disable-next-line:no-unsafe-any\n return JSON.parse(JSON.stringify(input, (key: string, value: any) => walk(key, value, depth)));\n } catch (_oO) {\n return '**non-serializable**';\n }\n}\n\n/**\n * Given any captured exception, extract its keys and create a sorted\n * and truncated list that will be used inside the event message.\n * eg. `Non-error exception captured with keys: foo, bar, baz`\n */\nexport function extractExceptionKeysForMessage(exception: any, maxLength: number = 40): string {\n // tslint:disable:strict-type-predicates\n const keys = Object.keys(getWalkSource(exception));\n keys.sort();\n\n if (!keys.length) {\n return '[object has no keys]';\n }\n\n if (keys[0].length >= maxLength) {\n return truncate(keys[0], maxLength);\n }\n\n for (let includedKeys = keys.length; includedKeys > 0; includedKeys--) {\n const serialized = keys.slice(0, includedKeys).join(', ');\n if (serialized.length > maxLength) {\n continue;\n }\n if (includedKeys === keys.length) {\n return serialized;\n }\n return truncate(serialized, maxLength);\n }\n\n return '';\n}\n\n/**\n * Given any object, return the new object with removed keys that value was `undefined`.\n * Works recursively on objects and arrays.\n */\nexport function dropUndefinedKeys(val: T): T {\n if (isPlainObject(val)) {\n const obj = val as { [key: string]: any };\n const rv: { [key: string]: any } = {};\n for (const key of Object.keys(obj)) {\n if (typeof obj[key] !== 'undefined') {\n rv[key] = dropUndefinedKeys(obj[key]);\n }\n }\n return rv as T;\n }\n\n if (Array.isArray(val)) {\n return val.map(dropUndefinedKeys) as any;\n }\n\n return val;\n}\n","import style from './Footer.less';\nimport { Component } from 'preact';\n\nexport default function(props) {\n\treturn (\n\t\t
\n\t\t\t© {new Date().getFullYear()}\n\t\t\t - \n\t\t\tStefano Pigozzi\n\t\t\t - \n\t\t\tCC BY-SA 4.0\n\t\t\t - \n\t\t\tuni.steffo.eu {process.env.RELEASE}\n\t\t\t - \n\t\t\tSupportami\n\t\t
\n\t);\n}\n","export default function _extends() {\n _extends = Object.assign || function (target) {\n for (var i = 1; i < arguments.length; i++) {\n var source = arguments[i];\n\n for (var key in source) {\n if (Object.prototype.hasOwnProperty.call(source, key)) {\n target[key] = source[key];\n }\n }\n }\n\n return target;\n };\n\n return _extends.apply(this, arguments);\n}","function isAbsolute(pathname) {\n return pathname.charAt(0) === '/';\n}\n\n// About 1.5x faster than the two-arg version of Array#splice()\nfunction spliceOne(list, index) {\n for (var i = index, k = i + 1, n = list.length; k < n; i += 1, k += 1) {\n list[i] = list[k];\n }\n\n list.pop();\n}\n\n// This implementation is based heavily on node's url.parse\nfunction resolvePathname(to, from) {\n if (from === undefined) from = '';\n\n var toParts = (to && to.split('/')) || [];\n var fromParts = (from && from.split('/')) || [];\n\n var isToAbs = to && isAbsolute(to);\n var isFromAbs = from && isAbsolute(from);\n var mustEndAbs = isToAbs || isFromAbs;\n\n if (to && isAbsolute(to)) {\n // to is absolute\n fromParts = toParts;\n } else if (toParts.length) {\n // to is relative, drop the filename\n fromParts.pop();\n fromParts = fromParts.concat(toParts);\n }\n\n if (!fromParts.length) return '/';\n\n var hasTrailingSlash;\n if (fromParts.length) {\n var last = fromParts[fromParts.length - 1];\n hasTrailingSlash = last === '.' || last === '..' || last === '';\n } else {\n hasTrailingSlash = false;\n }\n\n var up = 0;\n for (var i = fromParts.length; i >= 0; i--) {\n var part = fromParts[i];\n\n if (part === '.') {\n spliceOne(fromParts, i);\n } else if (part === '..') {\n spliceOne(fromParts, i);\n up++;\n } else if (up) {\n spliceOne(fromParts, i);\n up--;\n }\n }\n\n if (!mustEndAbs) for (; up--; up) fromParts.unshift('..');\n\n if (\n mustEndAbs &&\n fromParts[0] !== '' &&\n (!fromParts[0] || !isAbsolute(fromParts[0]))\n )\n fromParts.unshift('');\n\n var result = fromParts.join('/');\n\n if (hasTrailingSlash && result.substr(-1) !== '/') result += '/';\n\n return result;\n}\n\nexport default resolvePathname;\n","import _extends from '@babel/runtime/helpers/esm/extends';\nimport resolvePathname from 'resolve-pathname';\nimport valueEqual from 'value-equal';\nimport warning from 'tiny-warning';\nimport invariant from 'tiny-invariant';\n\nfunction addLeadingSlash(path) {\n return path.charAt(0) === '/' ? path : '/' + path;\n}\nfunction stripLeadingSlash(path) {\n return path.charAt(0) === '/' ? path.substr(1) : path;\n}\nfunction hasBasename(path, prefix) {\n return path.toLowerCase().indexOf(prefix.toLowerCase()) === 0 && '/?#'.indexOf(path.charAt(prefix.length)) !== -1;\n}\nfunction stripBasename(path, prefix) {\n return hasBasename(path, prefix) ? path.substr(prefix.length) : path;\n}\nfunction stripTrailingSlash(path) {\n return path.charAt(path.length - 1) === '/' ? path.slice(0, -1) : path;\n}\nfunction parsePath(path) {\n var pathname = path || '/';\n var search = '';\n var hash = '';\n var hashIndex = pathname.indexOf('#');\n\n if (hashIndex !== -1) {\n hash = pathname.substr(hashIndex);\n pathname = pathname.substr(0, hashIndex);\n }\n\n var searchIndex = pathname.indexOf('?');\n\n if (searchIndex !== -1) {\n search = pathname.substr(searchIndex);\n pathname = pathname.substr(0, searchIndex);\n }\n\n return {\n pathname: pathname,\n search: search === '?' ? '' : search,\n hash: hash === '#' ? '' : hash\n };\n}\nfunction createPath(location) {\n var pathname = location.pathname,\n search = location.search,\n hash = location.hash;\n var path = pathname || '/';\n if (search && search !== '?') path += search.charAt(0) === '?' ? search : \"?\" + search;\n if (hash && hash !== '#') path += hash.charAt(0) === '#' ? hash : \"#\" + hash;\n return path;\n}\n\nfunction createLocation(path, state, key, currentLocation) {\n var location;\n\n if (typeof path === 'string') {\n // Two-arg form: push(path, state)\n location = parsePath(path);\n location.state = state;\n } else {\n // One-arg form: push(location)\n location = _extends({}, path);\n if (location.pathname === undefined) location.pathname = '';\n\n if (location.search) {\n if (location.search.charAt(0) !== '?') location.search = '?' + location.search;\n } else {\n location.search = '';\n }\n\n if (location.hash) {\n if (location.hash.charAt(0) !== '#') location.hash = '#' + location.hash;\n } else {\n location.hash = '';\n }\n\n if (state !== undefined && location.state === undefined) location.state = state;\n }\n\n try {\n location.pathname = decodeURI(location.pathname);\n } catch (e) {\n if (e instanceof URIError) {\n throw new URIError('Pathname \"' + location.pathname + '\" could not be decoded. ' + 'This is likely caused by an invalid percent-encoding.');\n } else {\n throw e;\n }\n }\n\n if (key) location.key = key;\n\n if (currentLocation) {\n // Resolve incomplete/relative pathname relative to current location.\n if (!location.pathname) {\n location.pathname = currentLocation.pathname;\n } else if (location.pathname.charAt(0) !== '/') {\n location.pathname = resolvePathname(location.pathname, currentLocation.pathname);\n }\n } else {\n // When there is no prior location and pathname is empty, set it to /\n if (!location.pathname) {\n location.pathname = '/';\n }\n }\n\n return location;\n}\nfunction locationsAreEqual(a, b) {\n return a.pathname === b.pathname && a.search === b.search && a.hash === b.hash && a.key === b.key && valueEqual(a.state, b.state);\n}\n\nfunction createTransitionManager() {\n var prompt = null;\n\n function setPrompt(nextPrompt) {\n process.env.NODE_ENV !== \"production\" ? warning(prompt == null, 'A history supports only one prompt at a time') : void 0;\n prompt = nextPrompt;\n return function () {\n if (prompt === nextPrompt) prompt = null;\n };\n }\n\n function confirmTransitionTo(location, action, getUserConfirmation, callback) {\n // TODO: If another transition starts while we're still confirming\n // the previous one, we may end up in a weird state. Figure out the\n // best way to handle this.\n if (prompt != null) {\n var result = typeof prompt === 'function' ? prompt(location, action) : prompt;\n\n if (typeof result === 'string') {\n if (typeof getUserConfirmation === 'function') {\n getUserConfirmation(result, callback);\n } else {\n process.env.NODE_ENV !== \"production\" ? warning(false, 'A history needs a getUserConfirmation function in order to use a prompt message') : void 0;\n callback(true);\n }\n } else {\n // Return false from a transition hook to cancel the transition.\n callback(result !== false);\n }\n } else {\n callback(true);\n }\n }\n\n var listeners = [];\n\n function appendListener(fn) {\n var isActive = true;\n\n function listener() {\n if (isActive) fn.apply(void 0, arguments);\n }\n\n listeners.push(listener);\n return function () {\n isActive = false;\n listeners = listeners.filter(function (item) {\n return item !== listener;\n });\n };\n }\n\n function notifyListeners() {\n for (var _len = arguments.length, args = new Array(_len), _key = 0; _key < _len; _key++) {\n args[_key] = arguments[_key];\n }\n\n listeners.forEach(function (listener) {\n return listener.apply(void 0, args);\n });\n }\n\n return {\n setPrompt: setPrompt,\n confirmTransitionTo: confirmTransitionTo,\n appendListener: appendListener,\n notifyListeners: notifyListeners\n };\n}\n\nvar canUseDOM = !!(typeof window !== 'undefined' && window.document && window.document.createElement);\nfunction getConfirmation(message, callback) {\n callback(window.confirm(message)); // eslint-disable-line no-alert\n}\n/**\n * Returns true if the HTML5 history API is supported. Taken from Modernizr.\n *\n * https://github.com/Modernizr/Modernizr/blob/master/LICENSE\n * https://github.com/Modernizr/Modernizr/blob/master/feature-detects/history.js\n * changed to avoid false negatives for Windows Phones: https://github.com/reactjs/react-router/issues/586\n */\n\nfunction supportsHistory() {\n var ua = window.navigator.userAgent;\n if ((ua.indexOf('Android 2.') !== -1 || ua.indexOf('Android 4.0') !== -1) && ua.indexOf('Mobile Safari') !== -1 && ua.indexOf('Chrome') === -1 && ua.indexOf('Windows Phone') === -1) return false;\n return window.history && 'pushState' in window.history;\n}\n/**\n * Returns true if browser fires popstate on hash change.\n * IE10 and IE11 do not.\n */\n\nfunction supportsPopStateOnHashChange() {\n return window.navigator.userAgent.indexOf('Trident') === -1;\n}\n/**\n * Returns false if using go(n) with hash history causes a full page reload.\n */\n\nfunction supportsGoWithoutReloadUsingHash() {\n return window.navigator.userAgent.indexOf('Firefox') === -1;\n}\n/**\n * Returns true if a given popstate event is an extraneous WebKit event.\n * Accounts for the fact that Chrome on iOS fires real popstate events\n * containing undefined state when pressing the back button.\n */\n\nfunction isExtraneousPopstateEvent(event) {\n return event.state === undefined && navigator.userAgent.indexOf('CriOS') === -1;\n}\n\nvar PopStateEvent = 'popstate';\nvar HashChangeEvent = 'hashchange';\n\nfunction getHistoryState() {\n try {\n return window.history.state || {};\n } catch (e) {\n // IE 11 sometimes throws when accessing window.history.state\n // See https://github.com/ReactTraining/history/pull/289\n return {};\n }\n}\n/**\n * Creates a history object that uses the HTML5 history API including\n * pushState, replaceState, and the popstate event.\n */\n\n\nfunction createBrowserHistory(props) {\n if (props === void 0) {\n props = {};\n }\n\n !canUseDOM ? process.env.NODE_ENV !== \"production\" ? invariant(false, 'Browser history needs a DOM') : invariant(false) : void 0;\n var globalHistory = window.history;\n var canUseHistory = supportsHistory();\n var needsHashChangeListener = !supportsPopStateOnHashChange();\n var _props = props,\n _props$forceRefresh = _props.forceRefresh,\n forceRefresh = _props$forceRefresh === void 0 ? false : _props$forceRefresh,\n _props$getUserConfirm = _props.getUserConfirmation,\n getUserConfirmation = _props$getUserConfirm === void 0 ? getConfirmation : _props$getUserConfirm,\n _props$keyLength = _props.keyLength,\n keyLength = _props$keyLength === void 0 ? 6 : _props$keyLength;\n var basename = props.basename ? stripTrailingSlash(addLeadingSlash(props.basename)) : '';\n\n function getDOMLocation(historyState) {\n var _ref = historyState || {},\n key = _ref.key,\n state = _ref.state;\n\n var _window$location = window.location,\n pathname = _window$location.pathname,\n search = _window$location.search,\n hash = _window$location.hash;\n var path = pathname + search + hash;\n process.env.NODE_ENV !== \"production\" ? warning(!basename || hasBasename(path, basename), 'You are attempting to use a basename on a page whose URL path does not begin ' + 'with the basename. Expected path \"' + path + '\" to begin with \"' + basename + '\".') : void 0;\n if (basename) path = stripBasename(path, basename);\n return createLocation(path, state, key);\n }\n\n function createKey() {\n return Math.random().toString(36).substr(2, keyLength);\n }\n\n var transitionManager = createTransitionManager();\n\n function setState(nextState) {\n _extends(history, nextState);\n\n history.length = globalHistory.length;\n transitionManager.notifyListeners(history.location, history.action);\n }\n\n function handlePopState(event) {\n // Ignore extraneous popstate events in WebKit.\n if (isExtraneousPopstateEvent(event)) return;\n handlePop(getDOMLocation(event.state));\n }\n\n function handleHashChange() {\n handlePop(getDOMLocation(getHistoryState()));\n }\n\n var forceNextPop = false;\n\n function handlePop(location) {\n if (forceNextPop) {\n forceNextPop = false;\n setState();\n } else {\n var action = 'POP';\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (ok) {\n setState({\n action: action,\n location: location\n });\n } else {\n revertPop(location);\n }\n });\n }\n }\n\n function revertPop(fromLocation) {\n var toLocation = history.location; // TODO: We could probably make this more reliable by\n // keeping a list of keys we've seen in sessionStorage.\n // Instead, we just default to 0 for keys we don't know.\n\n var toIndex = allKeys.indexOf(toLocation.key);\n if (toIndex === -1) toIndex = 0;\n var fromIndex = allKeys.indexOf(fromLocation.key);\n if (fromIndex === -1) fromIndex = 0;\n var delta = toIndex - fromIndex;\n\n if (delta) {\n forceNextPop = true;\n go(delta);\n }\n }\n\n var initialLocation = getDOMLocation(getHistoryState());\n var allKeys = [initialLocation.key]; // Public interface\n\n function createHref(location) {\n return basename + createPath(location);\n }\n\n function push(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(!(typeof path === 'object' && path.state !== undefined && state !== undefined), 'You should avoid providing a 2nd state argument to push when the 1st ' + 'argument is a location-like object that already has state; it is ignored') : void 0;\n var action = 'PUSH';\n var location = createLocation(path, state, createKey(), history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var href = createHref(location);\n var key = location.key,\n state = location.state;\n\n if (canUseHistory) {\n globalHistory.pushState({\n key: key,\n state: state\n }, null, href);\n\n if (forceRefresh) {\n window.location.href = href;\n } else {\n var prevIndex = allKeys.indexOf(history.location.key);\n var nextKeys = allKeys.slice(0, prevIndex + 1);\n nextKeys.push(location.key);\n allKeys = nextKeys;\n setState({\n action: action,\n location: location\n });\n }\n } else {\n process.env.NODE_ENV !== \"production\" ? warning(state === undefined, 'Browser history cannot push state in browsers that do not support HTML5 history') : void 0;\n window.location.href = href;\n }\n });\n }\n\n function replace(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(!(typeof path === 'object' && path.state !== undefined && state !== undefined), 'You should avoid providing a 2nd state argument to replace when the 1st ' + 'argument is a location-like object that already has state; it is ignored') : void 0;\n var action = 'REPLACE';\n var location = createLocation(path, state, createKey(), history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var href = createHref(location);\n var key = location.key,\n state = location.state;\n\n if (canUseHistory) {\n globalHistory.replaceState({\n key: key,\n state: state\n }, null, href);\n\n if (forceRefresh) {\n window.location.replace(href);\n } else {\n var prevIndex = allKeys.indexOf(history.location.key);\n if (prevIndex !== -1) allKeys[prevIndex] = location.key;\n setState({\n action: action,\n location: location\n });\n }\n } else {\n process.env.NODE_ENV !== \"production\" ? warning(state === undefined, 'Browser history cannot replace state in browsers that do not support HTML5 history') : void 0;\n window.location.replace(href);\n }\n });\n }\n\n function go(n) {\n globalHistory.go(n);\n }\n\n function goBack() {\n go(-1);\n }\n\n function goForward() {\n go(1);\n }\n\n var listenerCount = 0;\n\n function checkDOMListeners(delta) {\n listenerCount += delta;\n\n if (listenerCount === 1 && delta === 1) {\n window.addEventListener(PopStateEvent, handlePopState);\n if (needsHashChangeListener) window.addEventListener(HashChangeEvent, handleHashChange);\n } else if (listenerCount === 0) {\n window.removeEventListener(PopStateEvent, handlePopState);\n if (needsHashChangeListener) window.removeEventListener(HashChangeEvent, handleHashChange);\n }\n }\n\n var isBlocked = false;\n\n function block(prompt) {\n if (prompt === void 0) {\n prompt = false;\n }\n\n var unblock = transitionManager.setPrompt(prompt);\n\n if (!isBlocked) {\n checkDOMListeners(1);\n isBlocked = true;\n }\n\n return function () {\n if (isBlocked) {\n isBlocked = false;\n checkDOMListeners(-1);\n }\n\n return unblock();\n };\n }\n\n function listen(listener) {\n var unlisten = transitionManager.appendListener(listener);\n checkDOMListeners(1);\n return function () {\n checkDOMListeners(-1);\n unlisten();\n };\n }\n\n var history = {\n length: globalHistory.length,\n action: 'POP',\n location: initialLocation,\n createHref: createHref,\n push: push,\n replace: replace,\n go: go,\n goBack: goBack,\n goForward: goForward,\n block: block,\n listen: listen\n };\n return history;\n}\n\nvar HashChangeEvent$1 = 'hashchange';\nvar HashPathCoders = {\n hashbang: {\n encodePath: function encodePath(path) {\n return path.charAt(0) === '!' ? path : '!/' + stripLeadingSlash(path);\n },\n decodePath: function decodePath(path) {\n return path.charAt(0) === '!' ? path.substr(1) : path;\n }\n },\n noslash: {\n encodePath: stripLeadingSlash,\n decodePath: addLeadingSlash\n },\n slash: {\n encodePath: addLeadingSlash,\n decodePath: addLeadingSlash\n }\n};\n\nfunction stripHash(url) {\n var hashIndex = url.indexOf('#');\n return hashIndex === -1 ? url : url.slice(0, hashIndex);\n}\n\nfunction getHashPath() {\n // We can't use window.location.hash here because it's not\n // consistent across browsers - Firefox will pre-decode it!\n var href = window.location.href;\n var hashIndex = href.indexOf('#');\n return hashIndex === -1 ? '' : href.substring(hashIndex + 1);\n}\n\nfunction pushHashPath(path) {\n window.location.hash = path;\n}\n\nfunction replaceHashPath(path) {\n window.location.replace(stripHash(window.location.href) + '#' + path);\n}\n\nfunction createHashHistory(props) {\n if (props === void 0) {\n props = {};\n }\n\n !canUseDOM ? process.env.NODE_ENV !== \"production\" ? invariant(false, 'Hash history needs a DOM') : invariant(false) : void 0;\n var globalHistory = window.history;\n var canGoWithoutReload = supportsGoWithoutReloadUsingHash();\n var _props = props,\n _props$getUserConfirm = _props.getUserConfirmation,\n getUserConfirmation = _props$getUserConfirm === void 0 ? getConfirmation : _props$getUserConfirm,\n _props$hashType = _props.hashType,\n hashType = _props$hashType === void 0 ? 'slash' : _props$hashType;\n var basename = props.basename ? stripTrailingSlash(addLeadingSlash(props.basename)) : '';\n var _HashPathCoders$hashT = HashPathCoders[hashType],\n encodePath = _HashPathCoders$hashT.encodePath,\n decodePath = _HashPathCoders$hashT.decodePath;\n\n function getDOMLocation() {\n var path = decodePath(getHashPath());\n process.env.NODE_ENV !== \"production\" ? warning(!basename || hasBasename(path, basename), 'You are attempting to use a basename on a page whose URL path does not begin ' + 'with the basename. Expected path \"' + path + '\" to begin with \"' + basename + '\".') : void 0;\n if (basename) path = stripBasename(path, basename);\n return createLocation(path);\n }\n\n var transitionManager = createTransitionManager();\n\n function setState(nextState) {\n _extends(history, nextState);\n\n history.length = globalHistory.length;\n transitionManager.notifyListeners(history.location, history.action);\n }\n\n var forceNextPop = false;\n var ignorePath = null;\n\n function locationsAreEqual$$1(a, b) {\n return a.pathname === b.pathname && a.search === b.search && a.hash === b.hash;\n }\n\n function handleHashChange() {\n var path = getHashPath();\n var encodedPath = encodePath(path);\n\n if (path !== encodedPath) {\n // Ensure we always have a properly-encoded hash.\n replaceHashPath(encodedPath);\n } else {\n var location = getDOMLocation();\n var prevLocation = history.location;\n if (!forceNextPop && locationsAreEqual$$1(prevLocation, location)) return; // A hashchange doesn't always == location change.\n\n if (ignorePath === createPath(location)) return; // Ignore this change; we already setState in push/replace.\n\n ignorePath = null;\n handlePop(location);\n }\n }\n\n function handlePop(location) {\n if (forceNextPop) {\n forceNextPop = false;\n setState();\n } else {\n var action = 'POP';\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (ok) {\n setState({\n action: action,\n location: location\n });\n } else {\n revertPop(location);\n }\n });\n }\n }\n\n function revertPop(fromLocation) {\n var toLocation = history.location; // TODO: We could probably make this more reliable by\n // keeping a list of paths we've seen in sessionStorage.\n // Instead, we just default to 0 for paths we don't know.\n\n var toIndex = allPaths.lastIndexOf(createPath(toLocation));\n if (toIndex === -1) toIndex = 0;\n var fromIndex = allPaths.lastIndexOf(createPath(fromLocation));\n if (fromIndex === -1) fromIndex = 0;\n var delta = toIndex - fromIndex;\n\n if (delta) {\n forceNextPop = true;\n go(delta);\n }\n } // Ensure the hash is encoded properly before doing anything else.\n\n\n var path = getHashPath();\n var encodedPath = encodePath(path);\n if (path !== encodedPath) replaceHashPath(encodedPath);\n var initialLocation = getDOMLocation();\n var allPaths = [createPath(initialLocation)]; // Public interface\n\n function createHref(location) {\n var baseTag = document.querySelector('base');\n var href = '';\n\n if (baseTag && baseTag.getAttribute('href')) {\n href = stripHash(window.location.href);\n }\n\n return href + '#' + encodePath(basename + createPath(location));\n }\n\n function push(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(state === undefined, 'Hash history cannot push state; it is ignored') : void 0;\n var action = 'PUSH';\n var location = createLocation(path, undefined, undefined, history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var path = createPath(location);\n var encodedPath = encodePath(basename + path);\n var hashChanged = getHashPath() !== encodedPath;\n\n if (hashChanged) {\n // We cannot tell if a hashchange was caused by a PUSH, so we'd\n // rather setState here and ignore the hashchange. The caveat here\n // is that other hash histories in the page will consider it a POP.\n ignorePath = path;\n pushHashPath(encodedPath);\n var prevIndex = allPaths.lastIndexOf(createPath(history.location));\n var nextPaths = allPaths.slice(0, prevIndex + 1);\n nextPaths.push(path);\n allPaths = nextPaths;\n setState({\n action: action,\n location: location\n });\n } else {\n process.env.NODE_ENV !== \"production\" ? warning(false, 'Hash history cannot PUSH the same path; a new entry will not be added to the history stack') : void 0;\n setState();\n }\n });\n }\n\n function replace(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(state === undefined, 'Hash history cannot replace state; it is ignored') : void 0;\n var action = 'REPLACE';\n var location = createLocation(path, undefined, undefined, history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var path = createPath(location);\n var encodedPath = encodePath(basename + path);\n var hashChanged = getHashPath() !== encodedPath;\n\n if (hashChanged) {\n // We cannot tell if a hashchange was caused by a REPLACE, so we'd\n // rather setState here and ignore the hashchange. The caveat here\n // is that other hash histories in the page will consider it a POP.\n ignorePath = path;\n replaceHashPath(encodedPath);\n }\n\n var prevIndex = allPaths.indexOf(createPath(history.location));\n if (prevIndex !== -1) allPaths[prevIndex] = path;\n setState({\n action: action,\n location: location\n });\n });\n }\n\n function go(n) {\n process.env.NODE_ENV !== \"production\" ? warning(canGoWithoutReload, 'Hash history go(n) causes a full page reload in this browser') : void 0;\n globalHistory.go(n);\n }\n\n function goBack() {\n go(-1);\n }\n\n function goForward() {\n go(1);\n }\n\n var listenerCount = 0;\n\n function checkDOMListeners(delta) {\n listenerCount += delta;\n\n if (listenerCount === 1 && delta === 1) {\n window.addEventListener(HashChangeEvent$1, handleHashChange);\n } else if (listenerCount === 0) {\n window.removeEventListener(HashChangeEvent$1, handleHashChange);\n }\n }\n\n var isBlocked = false;\n\n function block(prompt) {\n if (prompt === void 0) {\n prompt = false;\n }\n\n var unblock = transitionManager.setPrompt(prompt);\n\n if (!isBlocked) {\n checkDOMListeners(1);\n isBlocked = true;\n }\n\n return function () {\n if (isBlocked) {\n isBlocked = false;\n checkDOMListeners(-1);\n }\n\n return unblock();\n };\n }\n\n function listen(listener) {\n var unlisten = transitionManager.appendListener(listener);\n checkDOMListeners(1);\n return function () {\n checkDOMListeners(-1);\n unlisten();\n };\n }\n\n var history = {\n length: globalHistory.length,\n action: 'POP',\n location: initialLocation,\n createHref: createHref,\n push: push,\n replace: replace,\n go: go,\n goBack: goBack,\n goForward: goForward,\n block: block,\n listen: listen\n };\n return history;\n}\n\nfunction clamp(n, lowerBound, upperBound) {\n return Math.min(Math.max(n, lowerBound), upperBound);\n}\n/**\n * Creates a history object that stores locations in memory.\n */\n\n\nfunction createMemoryHistory(props) {\n if (props === void 0) {\n props = {};\n }\n\n var _props = props,\n getUserConfirmation = _props.getUserConfirmation,\n _props$initialEntries = _props.initialEntries,\n initialEntries = _props$initialEntries === void 0 ? ['/'] : _props$initialEntries,\n _props$initialIndex = _props.initialIndex,\n initialIndex = _props$initialIndex === void 0 ? 0 : _props$initialIndex,\n _props$keyLength = _props.keyLength,\n keyLength = _props$keyLength === void 0 ? 6 : _props$keyLength;\n var transitionManager = createTransitionManager();\n\n function setState(nextState) {\n _extends(history, nextState);\n\n history.length = history.entries.length;\n transitionManager.notifyListeners(history.location, history.action);\n }\n\n function createKey() {\n return Math.random().toString(36).substr(2, keyLength);\n }\n\n var index = clamp(initialIndex, 0, initialEntries.length - 1);\n var entries = initialEntries.map(function (entry) {\n return typeof entry === 'string' ? createLocation(entry, undefined, createKey()) : createLocation(entry, undefined, entry.key || createKey());\n }); // Public interface\n\n var createHref = createPath;\n\n function push(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(!(typeof path === 'object' && path.state !== undefined && state !== undefined), 'You should avoid providing a 2nd state argument to push when the 1st ' + 'argument is a location-like object that already has state; it is ignored') : void 0;\n var action = 'PUSH';\n var location = createLocation(path, state, createKey(), history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n var prevIndex = history.index;\n var nextIndex = prevIndex + 1;\n var nextEntries = history.entries.slice(0);\n\n if (nextEntries.length > nextIndex) {\n nextEntries.splice(nextIndex, nextEntries.length - nextIndex, location);\n } else {\n nextEntries.push(location);\n }\n\n setState({\n action: action,\n location: location,\n index: nextIndex,\n entries: nextEntries\n });\n });\n }\n\n function replace(path, state) {\n process.env.NODE_ENV !== \"production\" ? warning(!(typeof path === 'object' && path.state !== undefined && state !== undefined), 'You should avoid providing a 2nd state argument to replace when the 1st ' + 'argument is a location-like object that already has state; it is ignored') : void 0;\n var action = 'REPLACE';\n var location = createLocation(path, state, createKey(), history.location);\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (!ok) return;\n history.entries[history.index] = location;\n setState({\n action: action,\n location: location\n });\n });\n }\n\n function go(n) {\n var nextIndex = clamp(history.index + n, 0, history.entries.length - 1);\n var action = 'POP';\n var location = history.entries[nextIndex];\n transitionManager.confirmTransitionTo(location, action, getUserConfirmation, function (ok) {\n if (ok) {\n setState({\n action: action,\n location: location,\n index: nextIndex\n });\n } else {\n // Mimic the behavior of DOM histories by\n // causing a render after a cancelled POP.\n setState();\n }\n });\n }\n\n function goBack() {\n go(-1);\n }\n\n function goForward() {\n go(1);\n }\n\n function canGo(n) {\n var nextIndex = history.index + n;\n return nextIndex >= 0 && nextIndex < history.entries.length;\n }\n\n function block(prompt) {\n if (prompt === void 0) {\n prompt = false;\n }\n\n return transitionManager.setPrompt(prompt);\n }\n\n function listen(listener) {\n return transitionManager.appendListener(listener);\n }\n\n var history = {\n length: entries.length,\n action: 'POP',\n location: entries[index],\n index: index,\n entries: entries,\n createHref: createHref,\n push: push,\n replace: replace,\n go: go,\n goBack: goBack,\n goForward: goForward,\n canGo: canGo,\n block: block,\n listen: listen\n };\n return history;\n}\n\nexport { createBrowserHistory, createHashHistory, createMemoryHistory, createLocation, locationsAreEqual, parsePath, createPath };\n","var isProduction = process.env.NODE_ENV === 'production';\nvar prefix = 'Invariant failed';\nfunction invariant(condition, message) {\n if (condition) {\n return;\n }\n if (isProduction) {\n throw new Error(prefix);\n }\n throw new Error(prefix + \": \" + (message || ''));\n}\n\nexport default invariant;\n","// This will be replaced\n","\n\t\timport Async from \"../../node_modules/@preact/async-loader/async-legacy.js\";\n\n\t\tfunction load(cb) {\n\t\t\trequire.ensure([], function (require) {\n\t\t\t\tcb( require(\"!!../../node_modules/babel-loader/lib/index.js??ref--4!./Fisica.js\") );\n\t\t\t}, \"route-Fisica\");\n\t\t}\n\n\t\texport default Async(load);\n\t","import {\n Breadcrumb,\n Event,\n EventHint,\n EventProcessor,\n Scope as ScopeInterface,\n Severity,\n Span,\n User,\n} from '@sentry/types';\nimport { getGlobalObject, isThenable, SyncPromise, timestampWithMs } from '@sentry/utils';\n\n/**\n * Holds additional event information. {@link Scope.applyToEvent} will be\n * called by the client before an event will be sent.\n */\nexport class Scope implements ScopeInterface {\n /** Flag if notifiying is happening. */\n protected _notifyingListeners: boolean = false;\n\n /** Callback for client to receive scope changes. */\n protected _scopeListeners: Array<(scope: Scope) => void> = [];\n\n /** Callback list that will be called after {@link applyToEvent}. */\n protected _eventProcessors: EventProcessor[] = [];\n\n /** Array of breadcrumbs. */\n protected _breadcrumbs: Breadcrumb[] = [];\n\n /** User */\n protected _user: User = {};\n\n /** Tags */\n protected _tags: { [key: string]: string } = {};\n\n /** Extra */\n protected _extra: { [key: string]: any } = {};\n\n /** Contexts */\n protected _context: { [key: string]: any } = {};\n\n /** Fingerprint */\n protected _fingerprint?: string[];\n\n /** Severity */\n protected _level?: Severity;\n\n /** Transaction */\n protected _transaction?: string;\n\n /** Span */\n protected _span?: Span;\n\n /**\n * Add internal on change listener. Used for sub SDKs that need to store the scope.\n * @hidden\n */\n public addScopeListener(callback: (scope: Scope) => void): void {\n this._scopeListeners.push(callback);\n }\n\n /**\n * @inheritDoc\n */\n public addEventProcessor(callback: EventProcessor): this {\n this._eventProcessors.push(callback);\n return this;\n }\n\n /**\n * This will be called on every set call.\n */\n protected _notifyScopeListeners(): void {\n if (!this._notifyingListeners) {\n this._notifyingListeners = true;\n setTimeout(() => {\n this._scopeListeners.forEach(callback => {\n callback(this);\n });\n this._notifyingListeners = false;\n });\n }\n }\n\n /**\n * This will be called after {@link applyToEvent} is finished.\n */\n protected _notifyEventProcessors(\n processors: EventProcessor[],\n event: Event | null,\n hint?: EventHint,\n index: number = 0,\n ): PromiseLike {\n return new SyncPromise((resolve, reject) => {\n const processor = processors[index];\n // tslint:disable-next-line:strict-type-predicates\n if (event === null || typeof processor !== 'function') {\n resolve(event);\n } else {\n const result = processor({ ...event }, hint) as Event | null;\n if (isThenable(result)) {\n (result as PromiseLike)\n .then(final => this._notifyEventProcessors(processors, final, hint, index + 1).then(resolve))\n .then(null, reject);\n } else {\n this._notifyEventProcessors(processors, result, hint, index + 1)\n .then(resolve)\n .then(null, reject);\n }\n }\n });\n }\n\n /**\n * @inheritDoc\n */\n public setUser(user: User | null): this {\n this._user = user || {};\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setTags(tags: { [key: string]: string }): this {\n this._tags = {\n ...this._tags,\n ...tags,\n };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setTag(key: string, value: string): this {\n this._tags = { ...this._tags, [key]: value };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setExtras(extras: { [key: string]: any }): this {\n this._extra = {\n ...this._extra,\n ...extras,\n };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setExtra(key: string, extra: any): this {\n this._extra = { ...this._extra, [key]: extra };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setFingerprint(fingerprint: string[]): this {\n this._fingerprint = fingerprint;\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setLevel(level: Severity): this {\n this._level = level;\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setTransaction(transaction?: string): this {\n this._transaction = transaction;\n if (this._span) {\n (this._span as any).transaction = transaction;\n }\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setContext(key: string, context: { [key: string]: any } | null): this {\n this._context = { ...this._context, [key]: context };\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public setSpan(span?: Span): this {\n this._span = span;\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * Internal getter for Span, used in Hub.\n * @hidden\n */\n public getSpan(): Span | undefined {\n return this._span;\n }\n\n /**\n * Inherit values from the parent scope.\n * @param scope to clone.\n */\n public static clone(scope?: Scope): Scope {\n const newScope = new Scope();\n if (scope) {\n newScope._breadcrumbs = [...scope._breadcrumbs];\n newScope._tags = { ...scope._tags };\n newScope._extra = { ...scope._extra };\n newScope._context = { ...scope._context };\n newScope._user = scope._user;\n newScope._level = scope._level;\n newScope._span = scope._span;\n newScope._transaction = scope._transaction;\n newScope._fingerprint = scope._fingerprint;\n newScope._eventProcessors = [...scope._eventProcessors];\n }\n return newScope;\n }\n\n /**\n * @inheritDoc\n */\n public clear(): this {\n this._breadcrumbs = [];\n this._tags = {};\n this._extra = {};\n this._user = {};\n this._context = {};\n this._level = undefined;\n this._transaction = undefined;\n this._fingerprint = undefined;\n this._span = undefined;\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public addBreadcrumb(breadcrumb: Breadcrumb, maxBreadcrumbs?: number): this {\n const mergedBreadcrumb = {\n timestamp: timestampWithMs(),\n ...breadcrumb,\n };\n\n this._breadcrumbs =\n maxBreadcrumbs !== undefined && maxBreadcrumbs >= 0\n ? [...this._breadcrumbs, mergedBreadcrumb].slice(-maxBreadcrumbs)\n : [...this._breadcrumbs, mergedBreadcrumb];\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * @inheritDoc\n */\n public clearBreadcrumbs(): this {\n this._breadcrumbs = [];\n this._notifyScopeListeners();\n return this;\n }\n\n /**\n * Applies fingerprint from the scope to the event if there's one,\n * uses message if there's one instead or get rid of empty fingerprint\n */\n private _applyFingerprint(event: Event): void {\n // Make sure it's an array first and we actually have something in place\n event.fingerprint = event.fingerprint\n ? Array.isArray(event.fingerprint)\n ? event.fingerprint\n : [event.fingerprint]\n : [];\n\n // If we have something on the scope, then merge it with event\n if (this._fingerprint) {\n event.fingerprint = event.fingerprint.concat(this._fingerprint);\n }\n\n // If we have no data at all, remove empty array default\n if (event.fingerprint && !event.fingerprint.length) {\n delete event.fingerprint;\n }\n }\n\n /**\n * Applies the current context and fingerprint to the event.\n * Note that breadcrumbs will be added by the client.\n * Also if the event has already breadcrumbs on it, we do not merge them.\n * @param event Event\n * @param hint May contain additional informartion about the original exception.\n * @hidden\n */\n public applyToEvent(event: Event, hint?: EventHint): PromiseLike {\n if (this._extra && Object.keys(this._extra).length) {\n event.extra = { ...this._extra, ...event.extra };\n }\n if (this._tags && Object.keys(this._tags).length) {\n event.tags = { ...this._tags, ...event.tags };\n }\n if (this._user && Object.keys(this._user).length) {\n event.user = { ...this._user, ...event.user };\n }\n if (this._context && Object.keys(this._context).length) {\n event.contexts = { ...this._context, ...event.contexts };\n }\n if (this._level) {\n event.level = this._level;\n }\n if (this._transaction) {\n event.transaction = this._transaction;\n }\n if (this._span) {\n event.contexts = { trace: this._span.getTraceContext(), ...event.contexts };\n }\n\n this._applyFingerprint(event);\n\n event.breadcrumbs = [...(event.breadcrumbs || []), ...this._breadcrumbs];\n event.breadcrumbs = event.breadcrumbs.length > 0 ? event.breadcrumbs : undefined;\n\n return this._notifyEventProcessors([...getGlobalEventProcessors(), ...this._eventProcessors], event, hint);\n }\n}\n\n/**\n * Retruns the global event processors.\n */\nfunction getGlobalEventProcessors(): EventProcessor[] {\n const global = getGlobalObject();\n global.__SENTRY__ = global.__SENTRY__ || {};\n global.__SENTRY__.globalEventProcessors = global.__SENTRY__.globalEventProcessors || [];\n return global.__SENTRY__.globalEventProcessors;\n}\n\n/**\n * Add a EventProcessor to be kept globally.\n * @param callback EventProcessor to add\n */\nexport function addGlobalEventProcessor(callback: EventProcessor): void {\n getGlobalEventProcessors().push(callback);\n}\n","import {\n Breadcrumb,\n BreadcrumbHint,\n Client,\n Event,\n EventHint,\n Hub as HubInterface,\n Integration,\n IntegrationClass,\n Severity,\n Span,\n SpanContext,\n User,\n} from '@sentry/types';\nimport { consoleSandbox, getGlobalObject, isNodeEnv, logger, timestampWithMs, uuid4 } from '@sentry/utils';\n\nimport { Carrier, Layer } from './interfaces';\nimport { Scope } from './scope';\n\n/**\n * API compatibility version of this hub.\n *\n * WARNING: This number should only be incresed when the global interface\n * changes a and new methods are introduced.\n *\n * @hidden\n */\nexport const API_VERSION = 3;\n\n/**\n * Default maximum number of breadcrumbs added to an event. Can be overwritten\n * with {@link Options.maxBreadcrumbs}.\n */\nconst DEFAULT_BREADCRUMBS = 100;\n\n/**\n * Absolute maximum number of breadcrumbs added to an event. The\n * `maxBreadcrumbs` option cannot be higher than this value.\n */\nconst MAX_BREADCRUMBS = 100;\n\n/**\n * @inheritDoc\n */\nexport class Hub implements HubInterface {\n /** Is a {@link Layer}[] containing the client and scope */\n private readonly _stack: Layer[] = [];\n\n /** Contains the last event id of a captured event. */\n private _lastEventId?: string;\n\n /**\n * Creates a new instance of the hub, will push one {@link Layer} into the\n * internal stack on creation.\n *\n * @param client bound to the hub.\n * @param scope bound to the hub.\n * @param version number, higher number means higher priority.\n */\n public constructor(client?: Client, scope: Scope = new Scope(), private readonly _version: number = API_VERSION) {\n this._stack.push({ client, scope });\n }\n\n /**\n * Internal helper function to call a method on the top client if it exists.\n *\n * @param method The method to call on the client.\n * @param args Arguments to pass to the client function.\n */\n private _invokeClient(method: M, ...args: any[]): void {\n const top = this.getStackTop();\n if (top && top.client && top.client[method]) {\n (top.client as any)[method](...args, top.scope);\n }\n }\n\n /**\n * @inheritDoc\n */\n public isOlderThan(version: number): boolean {\n return this._version < version;\n }\n\n /**\n * @inheritDoc\n */\n public bindClient(client?: Client): void {\n const top = this.getStackTop();\n top.client = client;\n if (client && client.setupIntegrations) {\n client.setupIntegrations();\n }\n }\n\n /**\n * @inheritDoc\n */\n public pushScope(): Scope {\n // We want to clone the content of prev scope\n const stack = this.getStack();\n const parentScope = stack.length > 0 ? stack[stack.length - 1].scope : undefined;\n const scope = Scope.clone(parentScope);\n this.getStack().push({\n client: this.getClient(),\n scope,\n });\n return scope;\n }\n\n /**\n * @inheritDoc\n */\n public popScope(): boolean {\n return this.getStack().pop() !== undefined;\n }\n\n /**\n * @inheritDoc\n */\n public withScope(callback: (scope: Scope) => void): void {\n const scope = this.pushScope();\n try {\n callback(scope);\n } finally {\n this.popScope();\n }\n }\n\n /**\n * @inheritDoc\n */\n public getClient(): C | undefined {\n return this.getStackTop().client as C;\n }\n\n /** Returns the scope of the top stack. */\n public getScope(): Scope | undefined {\n return this.getStackTop().scope;\n }\n\n /** Returns the scope stack for domains or the process. */\n public getStack(): Layer[] {\n return this._stack;\n }\n\n /** Returns the topmost scope layer in the order domain > local > process. */\n public getStackTop(): Layer {\n return this._stack[this._stack.length - 1];\n }\n\n /**\n * @inheritDoc\n */\n public captureException(exception: any, hint?: EventHint): string {\n const eventId = (this._lastEventId = uuid4());\n let finalHint = hint;\n\n // If there's no explicit hint provided, mimick the same thing that would happen\n // in the minimal itself to create a consistent behavior.\n // We don't do this in the client, as it's the lowest level API, and doing this,\n // would prevent user from having full control over direct calls.\n if (!hint) {\n let syntheticException: Error;\n try {\n throw new Error('Sentry syntheticException');\n } catch (exception) {\n syntheticException = exception as Error;\n }\n finalHint = {\n originalException: exception,\n syntheticException,\n };\n }\n\n this._invokeClient('captureException', exception, {\n ...finalHint,\n event_id: eventId,\n });\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public captureMessage(message: string, level?: Severity, hint?: EventHint): string {\n const eventId = (this._lastEventId = uuid4());\n let finalHint = hint;\n\n // If there's no explicit hint provided, mimick the same thing that would happen\n // in the minimal itself to create a consistent behavior.\n // We don't do this in the client, as it's the lowest level API, and doing this,\n // would prevent user from having full control over direct calls.\n if (!hint) {\n let syntheticException: Error;\n try {\n throw new Error(message);\n } catch (exception) {\n syntheticException = exception as Error;\n }\n finalHint = {\n originalException: message,\n syntheticException,\n };\n }\n\n this._invokeClient('captureMessage', message, level, {\n ...finalHint,\n event_id: eventId,\n });\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public captureEvent(event: Event, hint?: EventHint): string {\n const eventId = (this._lastEventId = uuid4());\n this._invokeClient('captureEvent', event, {\n ...hint,\n event_id: eventId,\n });\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public lastEventId(): string | undefined {\n return this._lastEventId;\n }\n\n /**\n * @inheritDoc\n */\n public addBreadcrumb(breadcrumb: Breadcrumb, hint?: BreadcrumbHint): void {\n const top = this.getStackTop();\n\n if (!top.scope || !top.client) {\n return;\n }\n\n const { beforeBreadcrumb = null, maxBreadcrumbs = DEFAULT_BREADCRUMBS } =\n (top.client.getOptions && top.client.getOptions()) || {};\n\n if (maxBreadcrumbs <= 0) {\n return;\n }\n\n const timestamp = timestampWithMs();\n const mergedBreadcrumb = { timestamp, ...breadcrumb };\n const finalBreadcrumb = beforeBreadcrumb\n ? (consoleSandbox(() => beforeBreadcrumb(mergedBreadcrumb, hint)) as Breadcrumb | null)\n : mergedBreadcrumb;\n\n if (finalBreadcrumb === null) {\n return;\n }\n\n top.scope.addBreadcrumb(finalBreadcrumb, Math.min(maxBreadcrumbs, MAX_BREADCRUMBS));\n }\n\n /**\n * @inheritDoc\n */\n public setUser(user: User | null): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setUser(user);\n }\n\n /**\n * @inheritDoc\n */\n public setTags(tags: { [key: string]: string }): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setTags(tags);\n }\n\n /**\n * @inheritDoc\n */\n public setExtras(extras: { [key: string]: any }): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setExtras(extras);\n }\n\n /**\n * @inheritDoc\n */\n public setTag(key: string, value: string): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setTag(key, value);\n }\n\n /**\n * @inheritDoc\n */\n public setExtra(key: string, extra: any): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setExtra(key, extra);\n }\n\n /**\n * @inheritDoc\n */\n public setContext(name: string, context: { [key: string]: any } | null): void {\n const top = this.getStackTop();\n if (!top.scope) {\n return;\n }\n top.scope.setContext(name, context);\n }\n\n /**\n * @inheritDoc\n */\n public configureScope(callback: (scope: Scope) => void): void {\n const top = this.getStackTop();\n if (top.scope && top.client) {\n callback(top.scope);\n }\n }\n\n /**\n * @inheritDoc\n */\n public run(callback: (hub: Hub) => void): void {\n const oldHub = makeMain(this);\n try {\n callback(this);\n } finally {\n makeMain(oldHub);\n }\n }\n\n /**\n * @inheritDoc\n */\n public getIntegration(integration: IntegrationClass): T | null {\n const client = this.getClient();\n if (!client) {\n return null;\n }\n try {\n return client.getIntegration(integration);\n } catch (_oO) {\n logger.warn(`Cannot retrieve integration ${integration.id} from the current Hub`);\n return null;\n }\n }\n\n /**\n * @inheritDoc\n */\n public startSpan(spanOrSpanContext?: Span | SpanContext, forceNoChild: boolean = false): Span {\n return this._callExtensionMethod('startSpan', spanOrSpanContext, forceNoChild);\n }\n\n /**\n * @inheritDoc\n */\n public traceHeaders(): { [key: string]: string } {\n return this._callExtensionMethod<{ [key: string]: string }>('traceHeaders');\n }\n\n /**\n * Calls global extension method and binding current instance to the function call\n */\n // @ts-ignore\n private _callExtensionMethod(method: string, ...args: any[]): T {\n const carrier = getMainCarrier();\n const sentry = carrier.__SENTRY__;\n // tslint:disable-next-line: strict-type-predicates\n if (sentry && sentry.extensions && typeof sentry.extensions[method] === 'function') {\n return sentry.extensions[method].apply(this, args);\n }\n logger.warn(`Extension method ${method} couldn't be found, doing nothing.`);\n }\n}\n\n/** Returns the global shim registry. */\nexport function getMainCarrier(): Carrier {\n const carrier = getGlobalObject();\n carrier.__SENTRY__ = carrier.__SENTRY__ || {\n extensions: {},\n hub: undefined,\n };\n return carrier;\n}\n\n/**\n * Replaces the current main hub with the passed one on the global object\n *\n * @returns The old replaced hub\n */\nexport function makeMain(hub: Hub): Hub {\n const registry = getMainCarrier();\n const oldHub = getHubFromCarrier(registry);\n setHubOnCarrier(registry, hub);\n return oldHub;\n}\n\n/**\n * Returns the default hub instance.\n *\n * If a hub is already registered in the global carrier but this module\n * contains a more recent version, it replaces the registered version.\n * Otherwise, the currently registered hub will be returned.\n */\nexport function getCurrentHub(): Hub {\n // Get main carrier (global for every environment)\n const registry = getMainCarrier();\n\n // If there's no hub, or its an old API, assign a new one\n if (!hasHubOnCarrier(registry) || getHubFromCarrier(registry).isOlderThan(API_VERSION)) {\n setHubOnCarrier(registry, new Hub());\n }\n\n // Prefer domains over global if they are there (applicable only to Node environment)\n if (isNodeEnv()) {\n return getHubFromActiveDomain(registry);\n }\n // Return hub that lives on a global object\n return getHubFromCarrier(registry);\n}\n\n/**\n * Try to read the hub from an active domain, fallback to the registry if one doesnt exist\n * @returns discovered hub\n */\nfunction getHubFromActiveDomain(registry: Carrier): Hub {\n try {\n const property = 'domain';\n const carrier = getMainCarrier();\n const sentry = carrier.__SENTRY__;\n // tslint:disable-next-line: strict-type-predicates\n if (!sentry || !sentry.extensions || !sentry.extensions[property]) {\n return getHubFromCarrier(registry);\n }\n const domain = sentry.extensions[property] as any;\n const activeDomain = domain.active;\n\n // If there no active domain, just return global hub\n if (!activeDomain) {\n return getHubFromCarrier(registry);\n }\n\n // If there's no hub on current domain, or its an old API, assign a new one\n if (!hasHubOnCarrier(activeDomain) || getHubFromCarrier(activeDomain).isOlderThan(API_VERSION)) {\n const registryHubTopStack = getHubFromCarrier(registry).getStackTop();\n setHubOnCarrier(activeDomain, new Hub(registryHubTopStack.client, Scope.clone(registryHubTopStack.scope)));\n }\n\n // Return hub that lives on a domain\n return getHubFromCarrier(activeDomain);\n } catch (_Oo) {\n // Return hub that lives on a global object\n return getHubFromCarrier(registry);\n }\n}\n\n/**\n * This will tell whether a carrier has a hub on it or not\n * @param carrier object\n */\nfunction hasHubOnCarrier(carrier: Carrier): boolean {\n if (carrier && carrier.__SENTRY__ && carrier.__SENTRY__.hub) {\n return true;\n }\n return false;\n}\n\n/**\n * This will create a new {@link Hub} and add to the passed object on\n * __SENTRY__.hub.\n * @param carrier object\n * @hidden\n */\nexport function getHubFromCarrier(carrier: Carrier): Hub {\n if (carrier && carrier.__SENTRY__ && carrier.__SENTRY__.hub) {\n return carrier.__SENTRY__.hub;\n }\n carrier.__SENTRY__ = carrier.__SENTRY__ || {};\n carrier.__SENTRY__.hub = new Hub();\n return carrier.__SENTRY__.hub;\n}\n\n/**\n * This will set passed {@link Hub} on the passed object's __SENTRY__.hub attribute\n * @param carrier object\n * @param hub Hub\n */\nexport function setHubOnCarrier(carrier: Carrier, hub: Hub): boolean {\n if (!carrier) {\n return false;\n }\n carrier.__SENTRY__ = carrier.__SENTRY__ || {};\n carrier.__SENTRY__.hub = hub;\n return true;\n}\n","export * from './exports';\n\nimport { Integrations as CoreIntegrations } from '@sentry/core';\nimport { getGlobalObject } from '@sentry/utils';\n\nimport * as BrowserIntegrations from './integrations';\nimport * as Transports from './transports';\n\nlet windowIntegrations = {};\n\n// This block is needed to add compatibility with the integrations packages when used with a CDN\n// tslint:disable: no-unsafe-any\nconst _window = getGlobalObject();\nif (_window.Sentry && _window.Sentry.Integrations) {\n windowIntegrations = _window.Sentry.Integrations;\n}\n// tslint:enable: no-unsafe-any\n\nconst INTEGRATIONS = {\n ...windowIntegrations,\n ...CoreIntegrations,\n ...BrowserIntegrations,\n};\n\nexport { INTEGRATIONS as Integrations, Transports };\n","import { addGlobalEventProcessor, getCurrentHub } from '@sentry/hub';\nimport { Integration, Options } from '@sentry/types';\nimport { logger } from '@sentry/utils';\n\nexport const installedIntegrations: string[] = [];\n\n/** Map of integrations assigned to a client */\nexport interface IntegrationIndex {\n [key: string]: Integration;\n}\n\n/** Gets integration to install */\nexport function getIntegrationsToSetup(options: Options): Integration[] {\n const defaultIntegrations = (options.defaultIntegrations && [...options.defaultIntegrations]) || [];\n const userIntegrations = options.integrations;\n let integrations: Integration[] = [];\n if (Array.isArray(userIntegrations)) {\n const userIntegrationsNames = userIntegrations.map(i => i.name);\n const pickedIntegrationsNames: string[] = [];\n\n // Leave only unique default integrations, that were not overridden with provided user integrations\n defaultIntegrations.forEach(defaultIntegration => {\n if (\n userIntegrationsNames.indexOf(defaultIntegration.name) === -1 &&\n pickedIntegrationsNames.indexOf(defaultIntegration.name) === -1\n ) {\n integrations.push(defaultIntegration);\n pickedIntegrationsNames.push(defaultIntegration.name);\n }\n });\n\n // Don't add same user integration twice\n userIntegrations.forEach(userIntegration => {\n if (pickedIntegrationsNames.indexOf(userIntegration.name) === -1) {\n integrations.push(userIntegration);\n pickedIntegrationsNames.push(userIntegration.name);\n }\n });\n } else if (typeof userIntegrations === 'function') {\n integrations = userIntegrations(defaultIntegrations);\n integrations = Array.isArray(integrations) ? integrations : [integrations];\n } else {\n integrations = [...defaultIntegrations];\n }\n\n // Make sure that if present, `Debug` integration will always run last\n const integrationsNames = integrations.map(i => i.name);\n const alwaysLastToRun = 'Debug';\n if (integrationsNames.indexOf(alwaysLastToRun) !== -1) {\n integrations.push(...integrations.splice(integrationsNames.indexOf(alwaysLastToRun), 1));\n }\n\n return integrations;\n}\n\n/** Setup given integration */\nexport function setupIntegration(integration: Integration): void {\n if (installedIntegrations.indexOf(integration.name) !== -1) {\n return;\n }\n integration.setupOnce(addGlobalEventProcessor, getCurrentHub);\n installedIntegrations.push(integration.name);\n logger.log(`Integration installed: ${integration.name}`);\n}\n\n/**\n * Given a list of integration instances this installs them all. When `withDefaults` is set to `true` then all default\n * integrations are added unless they were already provided before.\n * @param integrations array of integration instances\n * @param withDefault should enable default integrations\n */\nexport function setupIntegrations(options: O): IntegrationIndex {\n const integrations: IntegrationIndex = {};\n getIntegrationsToSetup(options).forEach(integration => {\n integrations[integration.name] = integration;\n setupIntegration(integration);\n });\n return integrations;\n}\n","// tslint:disable:object-literal-sort-keys\n\n/**\n * This was originally forked from https://github.com/occ/TraceKit, but has since been\n * largely modified and is now maintained as part of Sentry JS SDK.\n */\n\n/**\n * An object representing a single stack frame.\n * {Object} StackFrame\n * {string} url The JavaScript or HTML file URL.\n * {string} func The function name, or empty for anonymous functions (if guessing did not work).\n * {string[]?} args The arguments passed to the function, if known.\n * {number=} line The line number, if known.\n * {number=} column The column number, if known.\n * {string[]} context An array of source code lines; the middle element corresponds to the correct line#.\n */\nexport interface StackFrame {\n url: string;\n func: string;\n args: string[];\n line: number | null;\n column: number | null;\n}\n\n/**\n * An object representing a JavaScript stack trace.\n * {Object} StackTrace\n * {string} name The name of the thrown exception.\n * {string} message The exception error message.\n * {TraceKit.StackFrame[]} stack An array of stack frames.\n */\nexport interface StackTrace {\n name: string;\n message: string;\n mechanism?: string;\n stack: StackFrame[];\n failed?: boolean;\n}\n\n// global reference to slice\nconst UNKNOWN_FUNCTION = '?';\n\n// Chromium based browsers: Chrome, Brave, new Opera, new Edge\nconst chrome = /^\\s*at (?:(.*?) ?\\()?((?:file|https?|blob|chrome-extension|address|native|eval|webpack||[-a-z]+:|.*bundle|\\/).*?)(?::(\\d+))?(?::(\\d+))?\\)?\\s*$/i;\n// gecko regex: `(?:bundle|\\d+\\.js)`: `bundle` is for react native, `\\d+\\.js` also but specifically for ram bundles because it\n// generates filenames without a prefix like `file://` the filenames in the stacktrace are just 42.js\n// We need this specific case for now because we want no other regex to match.\nconst gecko = /^\\s*(.*?)(?:\\((.*?)\\))?(?:^|@)?((?:file|https?|blob|chrome|webpack|resource|moz-extension).*?:\\/.*?|\\[native code\\]|[^@]*(?:bundle|\\d+\\.js))(?::(\\d+))?(?::(\\d+))?\\s*$/i;\nconst winjs = /^\\s*at (?:((?:\\[object object\\])?.+) )?\\(?((?:file|ms-appx|https?|webpack|blob):.*?):(\\d+)(?::(\\d+))?\\)?\\s*$/i;\nconst geckoEval = /(\\S+) line (\\d+)(?: > eval line \\d+)* > eval/i;\nconst chromeEval = /\\((\\S*)(?::(\\d+))(?::(\\d+))\\)/;\n\n/** JSDoc */\nexport function computeStackTrace(ex: any): StackTrace {\n // tslint:disable:no-unsafe-any\n\n let stack = null;\n const popSize: number = ex && ex.framesToPop;\n\n try {\n // This must be tried first because Opera 10 *destroys*\n // its stacktrace property if you try to access the stack\n // property first!!\n stack = computeStackTraceFromStacktraceProp(ex);\n if (stack) {\n return popFrames(stack, popSize);\n }\n } catch (e) {\n // no-empty\n }\n\n try {\n stack = computeStackTraceFromStackProp(ex);\n if (stack) {\n return popFrames(stack, popSize);\n }\n } catch (e) {\n // no-empty\n }\n\n return {\n message: extractMessage(ex),\n name: ex && ex.name,\n stack: [],\n failed: true,\n };\n}\n\n/** JSDoc */\n// tslint:disable-next-line:cyclomatic-complexity\nfunction computeStackTraceFromStackProp(ex: any): StackTrace | null {\n // tslint:disable:no-conditional-assignment\n if (!ex || !ex.stack) {\n return null;\n }\n\n const stack = [];\n const lines = ex.stack.split('\\n');\n let isEval;\n let submatch;\n let parts;\n let element;\n\n for (let i = 0; i < lines.length; ++i) {\n if ((parts = chrome.exec(lines[i]))) {\n const isNative = parts[2] && parts[2].indexOf('native') === 0; // start of line\n isEval = parts[2] && parts[2].indexOf('eval') === 0; // start of line\n if (isEval && (submatch = chromeEval.exec(parts[2]))) {\n // throw out eval line/column and use top-most line/column number\n parts[2] = submatch[1]; // url\n parts[3] = submatch[2]; // line\n parts[4] = submatch[3]; // column\n }\n element = {\n // working with the regexp above is super painful. it is quite a hack, but just stripping the `address at `\n // prefix here seems like the quickest solution for now.\n url: parts[2] && parts[2].indexOf('address at ') === 0 ? parts[2].substr('address at '.length) : parts[2],\n func: parts[1] || UNKNOWN_FUNCTION,\n args: isNative ? [parts[2]] : [],\n line: parts[3] ? +parts[3] : null,\n column: parts[4] ? +parts[4] : null,\n };\n } else if ((parts = winjs.exec(lines[i]))) {\n element = {\n url: parts[2],\n func: parts[1] || UNKNOWN_FUNCTION,\n args: [],\n line: +parts[3],\n column: parts[4] ? +parts[4] : null,\n };\n } else if ((parts = gecko.exec(lines[i]))) {\n isEval = parts[3] && parts[3].indexOf(' > eval') > -1;\n if (isEval && (submatch = geckoEval.exec(parts[3]))) {\n // throw out eval line/column and use top-most line number\n parts[1] = parts[1] || `eval`;\n parts[3] = submatch[1];\n parts[4] = submatch[2];\n parts[5] = ''; // no column when eval\n } else if (i === 0 && !parts[5] && ex.columnNumber !== void 0) {\n // FireFox uses this awesome columnNumber property for its top frame\n // Also note, Firefox's column number is 0-based and everything else expects 1-based,\n // so adding 1\n // NOTE: this hack doesn't work if top-most frame is eval\n stack[0].column = (ex.columnNumber as number) + 1;\n }\n element = {\n url: parts[3],\n func: parts[1] || UNKNOWN_FUNCTION,\n args: parts[2] ? parts[2].split(',') : [],\n line: parts[4] ? +parts[4] : null,\n column: parts[5] ? +parts[5] : null,\n };\n } else {\n continue;\n }\n\n if (!element.func && element.line) {\n element.func = UNKNOWN_FUNCTION;\n }\n\n stack.push(element);\n }\n\n if (!stack.length) {\n return null;\n }\n\n return {\n message: extractMessage(ex),\n name: ex.name,\n stack,\n };\n}\n\n/** JSDoc */\nfunction computeStackTraceFromStacktraceProp(ex: any): StackTrace | null {\n if (!ex || !ex.stacktrace) {\n return null;\n }\n // Access and store the stacktrace property before doing ANYTHING\n // else to it because Opera is not very good at providing it\n // reliably in other circumstances.\n const stacktrace = ex.stacktrace;\n const opera10Regex = / line (\\d+).*script (?:in )?(\\S+)(?:: in function (\\S+))?$/i;\n const opera11Regex = / line (\\d+), column (\\d+)\\s*(?:in (?:]+)>|([^\\)]+))\\((.*)\\))? in (.*):\\s*$/i;\n const lines = stacktrace.split('\\n');\n const stack = [];\n let parts;\n\n for (let line = 0; line < lines.length; line += 2) {\n // tslint:disable:no-conditional-assignment\n let element = null;\n if ((parts = opera10Regex.exec(lines[line]))) {\n element = {\n url: parts[2],\n func: parts[3],\n args: [],\n line: +parts[1],\n column: null,\n };\n } else if ((parts = opera11Regex.exec(lines[line]))) {\n element = {\n url: parts[6],\n func: parts[3] || parts[4],\n args: parts[5] ? parts[5].split(',') : [],\n line: +parts[1],\n column: +parts[2],\n };\n }\n\n if (element) {\n if (!element.func && element.line) {\n element.func = UNKNOWN_FUNCTION;\n }\n stack.push(element);\n }\n }\n\n if (!stack.length) {\n return null;\n }\n\n return {\n message: extractMessage(ex),\n name: ex.name,\n stack,\n };\n}\n\n/** Remove N number of frames from the stack */\nfunction popFrames(stacktrace: StackTrace, popSize: number): StackTrace {\n try {\n return {\n ...stacktrace,\n stack: stacktrace.stack.slice(popSize),\n };\n } catch (e) {\n return stacktrace;\n }\n}\n\n/**\n * There are cases where stacktrace.message is an Event object\n * https://github.com/getsentry/sentry-javascript/issues/1949\n * In this specific case we try to extract stacktrace.message.error.message\n */\nfunction extractMessage(ex: any): string {\n const message = ex && ex.message;\n if (!message) {\n return 'No error message';\n }\n if (message.error && typeof message.error.message === 'string') {\n return message.error.message;\n }\n return message;\n}\n","import { Event, Exception, StackFrame } from '@sentry/types';\nimport { extractExceptionKeysForMessage, isEvent, normalizeToSize } from '@sentry/utils';\n\nimport { computeStackTrace, StackFrame as TraceKitStackFrame, StackTrace as TraceKitStackTrace } from './tracekit';\n\nconst STACKTRACE_LIMIT = 50;\n\n/**\n * This function creates an exception from an TraceKitStackTrace\n * @param stacktrace TraceKitStackTrace that will be converted to an exception\n * @hidden\n */\nexport function exceptionFromStacktrace(stacktrace: TraceKitStackTrace): Exception {\n const frames = prepareFramesForEvent(stacktrace.stack);\n\n const exception: Exception = {\n type: stacktrace.name,\n value: stacktrace.message,\n };\n\n if (frames && frames.length) {\n exception.stacktrace = { frames };\n }\n\n // tslint:disable-next-line:strict-type-predicates\n if (exception.type === undefined && exception.value === '') {\n exception.value = 'Unrecoverable error caught';\n }\n\n return exception;\n}\n\n/**\n * @hidden\n */\nexport function eventFromPlainObject(exception: {}, syntheticException?: Error, rejection?: boolean): Event {\n const event: Event = {\n exception: {\n values: [\n {\n type: isEvent(exception) ? exception.constructor.name : rejection ? 'UnhandledRejection' : 'Error',\n value: `Non-Error ${\n rejection ? 'promise rejection' : 'exception'\n } captured with keys: ${extractExceptionKeysForMessage(exception)}`,\n },\n ],\n },\n extra: {\n __serialized__: normalizeToSize(exception),\n },\n };\n\n if (syntheticException) {\n const stacktrace = computeStackTrace(syntheticException);\n const frames = prepareFramesForEvent(stacktrace.stack);\n event.stacktrace = {\n frames,\n };\n }\n\n return event;\n}\n\n/**\n * @hidden\n */\nexport function eventFromStacktrace(stacktrace: TraceKitStackTrace): Event {\n const exception = exceptionFromStacktrace(stacktrace);\n\n return {\n exception: {\n values: [exception],\n },\n };\n}\n\n/**\n * @hidden\n */\nexport function prepareFramesForEvent(stack: TraceKitStackFrame[]): StackFrame[] {\n if (!stack || !stack.length) {\n return [];\n }\n\n let localStack = stack;\n\n const firstFrameFunction = localStack[0].func || '';\n const lastFrameFunction = localStack[localStack.length - 1].func || '';\n\n // If stack starts with one of our API calls, remove it (starts, meaning it's the top of the stack - aka last call)\n if (firstFrameFunction.indexOf('captureMessage') !== -1 || firstFrameFunction.indexOf('captureException') !== -1) {\n localStack = localStack.slice(1);\n }\n\n // If stack ends with one of our internal API calls, remove it (ends, meaning it's the bottom of the stack - aka top-most call)\n if (lastFrameFunction.indexOf('sentryWrapped') !== -1) {\n localStack = localStack.slice(0, -1);\n }\n\n // The frame where the crash happened, should be the last entry in the array\n return localStack\n .map(\n (frame: TraceKitStackFrame): StackFrame => ({\n colno: frame.column === null ? undefined : frame.column,\n filename: frame.url || localStack[0].url,\n function: frame.func || '?',\n in_app: true,\n lineno: frame.line === null ? undefined : frame.line,\n }),\n )\n .slice(0, STACKTRACE_LIMIT)\n .reverse();\n}\n","import { Event } from '@sentry/types';\nimport {\n addExceptionMechanism,\n addExceptionTypeValue,\n isDOMError,\n isDOMException,\n isError,\n isErrorEvent,\n isEvent,\n isPlainObject,\n} from '@sentry/utils';\n\nimport { eventFromPlainObject, eventFromStacktrace, prepareFramesForEvent } from './parsers';\nimport { computeStackTrace } from './tracekit';\n\n/** JSDoc */\nexport function eventFromUnknownInput(\n exception: unknown,\n syntheticException?: Error,\n options: {\n rejection?: boolean;\n attachStacktrace?: boolean;\n } = {},\n): Event {\n let event: Event;\n\n if (isErrorEvent(exception as ErrorEvent) && (exception as ErrorEvent).error) {\n // If it is an ErrorEvent with `error` property, extract it to get actual Error\n const errorEvent = exception as ErrorEvent;\n exception = errorEvent.error; // tslint:disable-line:no-parameter-reassignment\n event = eventFromStacktrace(computeStackTrace(exception as Error));\n return event;\n }\n if (isDOMError(exception as DOMError) || isDOMException(exception as DOMException)) {\n // If it is a DOMError or DOMException (which are legacy APIs, but still supported in some browsers)\n // then we just extract the name and message, as they don't provide anything else\n // https://developer.mozilla.org/en-US/docs/Web/API/DOMError\n // https://developer.mozilla.org/en-US/docs/Web/API/DOMException\n const domException = exception as DOMException;\n const name = domException.name || (isDOMError(domException) ? 'DOMError' : 'DOMException');\n const message = domException.message ? `${name}: ${domException.message}` : name;\n\n event = eventFromString(message, syntheticException, options);\n addExceptionTypeValue(event, message);\n return event;\n }\n if (isError(exception as Error)) {\n // we have a real Error object, do nothing\n event = eventFromStacktrace(computeStackTrace(exception as Error));\n return event;\n }\n if (isPlainObject(exception) || isEvent(exception)) {\n // If it is plain Object or Event, serialize it manually and extract options\n // This will allow us to group events based on top-level keys\n // which is much better than creating new group when any key/value change\n const objectException = exception as {};\n event = eventFromPlainObject(objectException, syntheticException, options.rejection);\n addExceptionMechanism(event, {\n synthetic: true,\n });\n return event;\n }\n\n // If none of previous checks were valid, then it means that it's not:\n // - an instance of DOMError\n // - an instance of DOMException\n // - an instance of Event\n // - an instance of Error\n // - a valid ErrorEvent (one with an error property)\n // - a plain Object\n //\n // So bail out and capture it as a simple message:\n event = eventFromString(exception as string, syntheticException, options);\n addExceptionTypeValue(event, `${exception}`, undefined);\n addExceptionMechanism(event, {\n synthetic: true,\n });\n\n return event;\n}\n\n// this._options.attachStacktrace\n/** JSDoc */\nexport function eventFromString(\n input: string,\n syntheticException?: Error,\n options: {\n attachStacktrace?: boolean;\n } = {},\n): Event {\n const event: Event = {\n message: input,\n };\n\n if (options.attachStacktrace && syntheticException) {\n const stacktrace = computeStackTrace(syntheticException);\n const frames = prepareFramesForEvent(stacktrace.stack);\n event.stacktrace = {\n frames,\n };\n }\n\n return event;\n}\n","import { captureException, withScope } from '@sentry/core';\nimport { Event as SentryEvent, Mechanism, Scope, WrappedFunction } from '@sentry/types';\nimport { addExceptionMechanism, addExceptionTypeValue } from '@sentry/utils';\n\nlet ignoreOnError: number = 0;\n\n/**\n * @hidden\n */\nexport function shouldIgnoreOnError(): boolean {\n return ignoreOnError > 0;\n}\n\n/**\n * @hidden\n */\nexport function ignoreNextOnError(): void {\n // onerror should trigger before setTimeout\n ignoreOnError += 1;\n setTimeout(() => {\n ignoreOnError -= 1;\n });\n}\n\n/**\n * Instruments the given function and sends an event to Sentry every time the\n * function throws an exception.\n *\n * @param fn A function to wrap.\n * @returns The wrapped function.\n * @hidden\n */\nexport function wrap(\n fn: WrappedFunction,\n options: {\n mechanism?: Mechanism;\n } = {},\n before?: WrappedFunction,\n): any {\n // tslint:disable-next-line:strict-type-predicates\n if (typeof fn !== 'function') {\n return fn;\n }\n\n try {\n // We don't wanna wrap it twice\n if (fn.__sentry__) {\n return fn;\n }\n\n // If this has already been wrapped in the past, return that wrapped function\n if (fn.__sentry_wrapped__) {\n return fn.__sentry_wrapped__;\n }\n } catch (e) {\n // Just accessing custom props in some Selenium environments\n // can cause a \"Permission denied\" exception (see raven-js#495).\n // Bail on wrapping and return the function as-is (defers to window.onerror).\n return fn;\n }\n\n const sentryWrapped: WrappedFunction = function(this: any): void {\n const args = Array.prototype.slice.call(arguments);\n\n // tslint:disable:no-unsafe-any\n try {\n // tslint:disable-next-line:strict-type-predicates\n if (before && typeof before === 'function') {\n before.apply(this, arguments);\n }\n\n const wrappedArguments = args.map((arg: any) => wrap(arg, options));\n\n if (fn.handleEvent) {\n // Attempt to invoke user-land function\n // NOTE: If you are a Sentry user, and you are seeing this stack frame, it\n // means the sentry.javascript SDK caught an error invoking your application code. This\n // is expected behavior and NOT indicative of a bug with sentry.javascript.\n return fn.handleEvent.apply(this, wrappedArguments);\n }\n // Attempt to invoke user-land function\n // NOTE: If you are a Sentry user, and you are seeing this stack frame, it\n // means the sentry.javascript SDK caught an error invoking your application code. This\n // is expected behavior and NOT indicative of a bug with sentry.javascript.\n return fn.apply(this, wrappedArguments);\n // tslint:enable:no-unsafe-any\n } catch (ex) {\n ignoreNextOnError();\n\n withScope((scope: Scope) => {\n scope.addEventProcessor((event: SentryEvent) => {\n const processedEvent = { ...event };\n\n if (options.mechanism) {\n addExceptionTypeValue(processedEvent, undefined, undefined);\n addExceptionMechanism(processedEvent, options.mechanism);\n }\n\n processedEvent.extra = {\n ...processedEvent.extra,\n arguments: args,\n };\n\n return processedEvent;\n });\n\n captureException(ex);\n });\n\n throw ex;\n }\n };\n\n // Accessing some objects may throw\n // ref: https://github.com/getsentry/sentry-javascript/issues/1168\n try {\n for (const property in fn) {\n if (Object.prototype.hasOwnProperty.call(fn, property)) {\n sentryWrapped[property] = fn[property];\n }\n }\n } catch (_oO) {} // tslint:disable-line:no-empty\n\n fn.prototype = fn.prototype || {};\n sentryWrapped.prototype = fn.prototype;\n\n Object.defineProperty(fn, '__sentry_wrapped__', {\n enumerable: false,\n value: sentryWrapped,\n });\n\n // Signal that this function has been wrapped/filled already\n // for both debugging and to prevent it to being wrapped/filled twice\n Object.defineProperties(sentryWrapped, {\n __sentry__: {\n enumerable: false,\n value: true,\n },\n __sentry_original__: {\n enumerable: false,\n value: fn,\n },\n });\n\n // Restore original function name (not all browsers allow that)\n try {\n const descriptor = Object.getOwnPropertyDescriptor(sentryWrapped, 'name') as PropertyDescriptor;\n if (descriptor.configurable) {\n Object.defineProperty(sentryWrapped, 'name', {\n get(): string {\n return fn.name;\n },\n });\n }\n } catch (_oO) {\n /*no-empty*/\n }\n\n return sentryWrapped;\n}\n","/* tslint:disable:only-arrow-functions no-unsafe-any */\n\nimport { WrappedFunction } from '@sentry/types';\n\nimport { isInstanceOf, isString } from './is';\nimport { logger } from './logger';\nimport { getFunctionName, getGlobalObject } from './misc';\nimport { fill } from './object';\nimport { supportsHistory, supportsNativeFetch } from './supports';\n\nconst global = getGlobalObject();\n\n/** Object describing handler that will be triggered for a given `type` of instrumentation */\ninterface InstrumentHandler {\n type: InstrumentHandlerType;\n callback: InstrumentHandlerCallback;\n}\ntype InstrumentHandlerType =\n | 'console'\n | 'dom'\n | 'fetch'\n | 'history'\n | 'sentry'\n | 'xhr'\n | 'error'\n | 'unhandledrejection';\ntype InstrumentHandlerCallback = (data: any) => void;\n\n/**\n * Instrument native APIs to call handlers that can be used to create breadcrumbs, APM spans etc.\n * - Console API\n * - Fetch API\n * - XHR API\n * - History API\n * - DOM API (click/typing)\n * - Error API\n * - UnhandledRejection API\n */\n\nconst handlers: { [key in InstrumentHandlerType]?: InstrumentHandlerCallback[] } = {};\nconst instrumented: { [key in InstrumentHandlerType]?: boolean } = {};\n\n/** Instruments given API */\nfunction instrument(type: InstrumentHandlerType): void {\n if (instrumented[type]) {\n return;\n }\n\n instrumented[type] = true;\n\n switch (type) {\n case 'console':\n instrumentConsole();\n break;\n case 'dom':\n instrumentDOM();\n break;\n case 'xhr':\n instrumentXHR();\n break;\n case 'fetch':\n instrumentFetch();\n break;\n case 'history':\n instrumentHistory();\n break;\n case 'error':\n instrumentError();\n break;\n case 'unhandledrejection':\n instrumentUnhandledRejection();\n break;\n default:\n logger.warn('unknown instrumentation type:', type);\n }\n}\n\n/**\n * Add handler that will be called when given type of instrumentation triggers.\n * Use at your own risk, this might break without changelog notice, only used internally.\n * @hidden\n */\nexport function addInstrumentationHandler(handler: InstrumentHandler): void {\n // tslint:disable-next-line:strict-type-predicates\n if (!handler || typeof handler.type !== 'string' || typeof handler.callback !== 'function') {\n return;\n }\n handlers[handler.type] = handlers[handler.type] || [];\n (handlers[handler.type] as InstrumentHandlerCallback[]).push(handler.callback);\n instrument(handler.type);\n}\n\n/** JSDoc */\nfunction triggerHandlers(type: InstrumentHandlerType, data: any): void {\n if (!type || !handlers[type]) {\n return;\n }\n\n for (const handler of handlers[type] || []) {\n try {\n handler(data);\n } catch (e) {\n logger.error(\n `Error while triggering instrumentation handler.\\nType: ${type}\\nName: ${getFunctionName(\n handler,\n )}\\nError: ${e}`,\n );\n }\n }\n}\n\n/** JSDoc */\nfunction instrumentConsole(): void {\n if (!('console' in global)) {\n return;\n }\n\n ['debug', 'info', 'warn', 'error', 'log', 'assert'].forEach(function(level: string): void {\n if (!(level in global.console)) {\n return;\n }\n\n fill(global.console, level, function(originalConsoleLevel: () => any): Function {\n return function(...args: any[]): void {\n triggerHandlers('console', { args, level });\n\n // this fails for some browsers. :(\n if (originalConsoleLevel) {\n Function.prototype.apply.call(originalConsoleLevel, global.console, args);\n }\n };\n });\n });\n}\n\n/** JSDoc */\nfunction instrumentFetch(): void {\n if (!supportsNativeFetch()) {\n return;\n }\n\n fill(global, 'fetch', function(originalFetch: () => void): () => void {\n return function(...args: any[]): void {\n const commonHandlerData = {\n args,\n fetchData: {\n method: getFetchMethod(args),\n url: getFetchUrl(args),\n },\n startTimestamp: Date.now(),\n };\n\n triggerHandlers('fetch', {\n ...commonHandlerData,\n });\n\n return originalFetch.apply(global, args).then(\n (response: Response) => {\n triggerHandlers('fetch', {\n ...commonHandlerData,\n endTimestamp: Date.now(),\n response,\n });\n return response;\n },\n (error: Error) => {\n triggerHandlers('fetch', {\n ...commonHandlerData,\n endTimestamp: Date.now(),\n error,\n });\n throw error;\n },\n );\n };\n });\n}\n\n/** JSDoc */\ninterface SentryWrappedXMLHttpRequest extends XMLHttpRequest {\n [key: string]: any;\n __sentry_xhr__?: {\n method?: string;\n url?: string;\n status_code?: number;\n };\n}\n\n/** Extract `method` from fetch call arguments */\nfunction getFetchMethod(fetchArgs: any[] = []): string {\n if ('Request' in global && isInstanceOf(fetchArgs[0], Request) && fetchArgs[0].method) {\n return String(fetchArgs[0].method).toUpperCase();\n }\n if (fetchArgs[1] && fetchArgs[1].method) {\n return String(fetchArgs[1].method).toUpperCase();\n }\n return 'GET';\n}\n\n/** Extract `url` from fetch call arguments */\nfunction getFetchUrl(fetchArgs: any[] = []): string {\n if (typeof fetchArgs[0] === 'string') {\n return fetchArgs[0];\n }\n if ('Request' in global && isInstanceOf(fetchArgs[0], Request)) {\n return fetchArgs[0].url;\n }\n return String(fetchArgs[0]);\n}\n\n/** JSDoc */\nfunction instrumentXHR(): void {\n if (!('XMLHttpRequest' in global)) {\n return;\n }\n\n const xhrproto = XMLHttpRequest.prototype;\n\n fill(xhrproto, 'open', function(originalOpen: () => void): () => void {\n return function(this: SentryWrappedXMLHttpRequest, ...args: any[]): void {\n const url = args[1];\n this.__sentry_xhr__ = {\n method: isString(args[0]) ? args[0].toUpperCase() : args[0],\n url: args[1],\n };\n\n // if Sentry key appears in URL, don't capture it as a request\n if (isString(url) && this.__sentry_xhr__.method === 'POST' && url.match(/sentry_key/)) {\n this.__sentry_own_request__ = true;\n }\n\n return originalOpen.apply(this, args);\n };\n });\n\n fill(xhrproto, 'send', function(originalSend: () => void): () => void {\n return function(this: SentryWrappedXMLHttpRequest, ...args: any[]): void {\n const xhr = this; // tslint:disable-line:no-this-assignment\n const commonHandlerData = {\n args,\n startTimestamp: Date.now(),\n xhr,\n };\n\n triggerHandlers('xhr', {\n ...commonHandlerData,\n });\n\n xhr.addEventListener('readystatechange', function(): void {\n if (xhr.readyState === 4) {\n try {\n // touching statusCode in some platforms throws\n // an exception\n if (xhr.__sentry_xhr__) {\n xhr.__sentry_xhr__.status_code = xhr.status;\n }\n } catch (e) {\n /* do nothing */\n }\n triggerHandlers('xhr', {\n ...commonHandlerData,\n endTimestamp: Date.now(),\n });\n }\n });\n\n return originalSend.apply(this, args);\n };\n });\n}\n\nlet lastHref: string;\n\n/** JSDoc */\nfunction instrumentHistory(): void {\n if (!supportsHistory()) {\n return;\n }\n\n const oldOnPopState = global.onpopstate;\n global.onpopstate = function(this: WindowEventHandlers, ...args: any[]): any {\n const to = global.location.href;\n // keep track of the current URL state, as we always receive only the updated state\n const from = lastHref;\n lastHref = to;\n triggerHandlers('history', {\n from,\n to,\n });\n if (oldOnPopState) {\n return oldOnPopState.apply(this, args);\n }\n };\n\n /** @hidden */\n function historyReplacementFunction(originalHistoryFunction: () => void): () => void {\n return function(this: History, ...args: any[]): void {\n const url = args.length > 2 ? args[2] : undefined;\n if (url) {\n // coerce to string (this is what pushState does)\n const from = lastHref;\n const to = String(url);\n // keep track of the current URL state, as we always receive only the updated state\n lastHref = to;\n triggerHandlers('history', {\n from,\n to,\n });\n }\n return originalHistoryFunction.apply(this, args);\n };\n }\n\n fill(global.history, 'pushState', historyReplacementFunction);\n fill(global.history, 'replaceState', historyReplacementFunction);\n}\n\n/** JSDoc */\nfunction instrumentDOM(): void {\n if (!('document' in global)) {\n return;\n }\n\n // Capture breadcrumbs from any click that is unhandled / bubbled up all the way\n // to the document. Do this before we instrument addEventListener.\n global.document.addEventListener('click', domEventHandler('click', triggerHandlers.bind(null, 'dom')), false);\n global.document.addEventListener('keypress', keypressEventHandler(triggerHandlers.bind(null, 'dom')), false);\n\n // After hooking into document bubbled up click and keypresses events, we also hook into user handled click & keypresses.\n ['EventTarget', 'Node'].forEach((target: string) => {\n const proto = (global as any)[target] && (global as any)[target].prototype;\n\n if (!proto || !proto.hasOwnProperty || !proto.hasOwnProperty('addEventListener')) {\n return;\n }\n\n fill(proto, 'addEventListener', function(\n original: () => void,\n ): (\n eventName: string,\n fn: EventListenerOrEventListenerObject,\n options?: boolean | AddEventListenerOptions,\n ) => void {\n return function(\n this: any,\n eventName: string,\n fn: EventListenerOrEventListenerObject,\n options?: boolean | AddEventListenerOptions,\n ): (eventName: string, fn: EventListenerOrEventListenerObject, capture?: boolean, secure?: boolean) => void {\n if (fn && (fn as EventListenerObject).handleEvent) {\n if (eventName === 'click') {\n fill(fn, 'handleEvent', function(innerOriginal: () => void): (caughtEvent: Event) => void {\n return function(this: any, event: Event): (event: Event) => void {\n domEventHandler('click', triggerHandlers.bind(null, 'dom'))(event);\n return innerOriginal.call(this, event);\n };\n });\n }\n if (eventName === 'keypress') {\n fill(fn, 'handleEvent', function(innerOriginal: () => void): (caughtEvent: Event) => void {\n return function(this: any, event: Event): (event: Event) => void {\n keypressEventHandler(triggerHandlers.bind(null, 'dom'))(event);\n return innerOriginal.call(this, event);\n };\n });\n }\n } else {\n if (eventName === 'click') {\n domEventHandler('click', triggerHandlers.bind(null, 'dom'), true)(this);\n }\n if (eventName === 'keypress') {\n keypressEventHandler(triggerHandlers.bind(null, 'dom'))(this);\n }\n }\n\n return original.call(this, eventName, fn, options);\n };\n });\n\n fill(proto, 'removeEventListener', function(\n original: () => void,\n ): (\n this: any,\n eventName: string,\n fn: EventListenerOrEventListenerObject,\n options?: boolean | EventListenerOptions,\n ) => () => void {\n return function(\n this: any,\n eventName: string,\n fn: EventListenerOrEventListenerObject,\n options?: boolean | EventListenerOptions,\n ): () => void {\n let callback = fn as WrappedFunction;\n try {\n callback = callback && (callback.__sentry_wrapped__ || callback);\n } catch (e) {\n // ignore, accessing __sentry_wrapped__ will throw in some Selenium environments\n }\n return original.call(this, eventName, callback, options);\n };\n });\n });\n}\n\nconst debounceDuration: number = 1000;\nlet debounceTimer: number = 0;\nlet keypressTimeout: number | undefined;\nlet lastCapturedEvent: Event | undefined;\n\n/**\n * Wraps addEventListener to capture UI breadcrumbs\n * @param name the event name (e.g. \"click\")\n * @param handler function that will be triggered\n * @param debounce decides whether it should wait till another event loop\n * @returns wrapped breadcrumb events handler\n * @hidden\n */\nfunction domEventHandler(name: string, handler: Function, debounce: boolean = false): (event: Event) => void {\n return (event: Event) => {\n // reset keypress timeout; e.g. triggering a 'click' after\n // a 'keypress' will reset the keypress debounce so that a new\n // set of keypresses can be recorded\n keypressTimeout = undefined;\n // It's possible this handler might trigger multiple times for the same\n // event (e.g. event propagation through node ancestors). Ignore if we've\n // already captured the event.\n if (!event || lastCapturedEvent === event) {\n return;\n }\n\n lastCapturedEvent = event;\n\n if (debounceTimer) {\n clearTimeout(debounceTimer);\n }\n\n if (debounce) {\n debounceTimer = setTimeout(() => {\n handler({ event, name });\n });\n } else {\n handler({ event, name });\n }\n };\n}\n\n/**\n * Wraps addEventListener to capture keypress UI events\n * @param handler function that will be triggered\n * @returns wrapped keypress events handler\n * @hidden\n */\nfunction keypressEventHandler(handler: Function): (event: Event) => void {\n // TODO: if somehow user switches keypress target before\n // debounce timeout is triggered, we will only capture\n // a single breadcrumb from the FIRST target (acceptable?)\n return (event: Event) => {\n let target;\n\n try {\n target = event.target;\n } catch (e) {\n // just accessing event properties can throw an exception in some rare circumstances\n // see: https://github.com/getsentry/raven-js/issues/838\n return;\n }\n\n const tagName = target && (target as HTMLElement).tagName;\n\n // only consider keypress events on actual input elements\n // this will disregard keypresses targeting body (e.g. tabbing\n // through elements, hotkeys, etc)\n if (!tagName || (tagName !== 'INPUT' && tagName !== 'TEXTAREA' && !(target as HTMLElement).isContentEditable)) {\n return;\n }\n\n // record first keypress in a series, but ignore subsequent\n // keypresses until debounce clears\n if (!keypressTimeout) {\n domEventHandler('input', handler)(event);\n }\n clearTimeout(keypressTimeout);\n\n keypressTimeout = (setTimeout(() => {\n keypressTimeout = undefined;\n }, debounceDuration) as any) as number;\n };\n}\n\nlet _oldOnErrorHandler: OnErrorEventHandler = null;\n/** JSDoc */\nfunction instrumentError(): void {\n _oldOnErrorHandler = global.onerror;\n\n global.onerror = function(msg: any, url: any, line: any, column: any, error: any): boolean {\n triggerHandlers('error', {\n column,\n error,\n line,\n msg,\n url,\n });\n\n if (_oldOnErrorHandler) {\n return _oldOnErrorHandler.apply(this, arguments);\n }\n\n return false;\n };\n}\n\nlet _oldOnUnhandledRejectionHandler: ((e: any) => void) | null = null;\n/** JSDoc */\nfunction instrumentUnhandledRejection(): void {\n _oldOnUnhandledRejectionHandler = global.onunhandledrejection;\n\n global.onunhandledrejection = function(e: any): boolean {\n triggerHandlers('unhandledrejection', e);\n\n if (_oldOnUnhandledRejectionHandler) {\n return _oldOnUnhandledRejectionHandler.apply(this, arguments);\n }\n\n return true;\n };\n}\n","import { API, getCurrentHub } from '@sentry/core';\nimport { Integration, Severity } from '@sentry/types';\nimport {\n addInstrumentationHandler,\n getEventDescription,\n getGlobalObject,\n htmlTreeAsString,\n logger,\n parseUrl,\n safeJoin,\n} from '@sentry/utils';\n\nimport { BrowserClient } from '../client';\n\n/**\n * @hidden\n */\nexport interface SentryWrappedXMLHttpRequest extends XMLHttpRequest {\n [key: string]: any;\n __sentry_xhr__?: {\n method?: string;\n url?: string;\n status_code?: number;\n };\n}\n\n/** JSDoc */\ninterface BreadcrumbIntegrations {\n console?: boolean;\n dom?: boolean;\n fetch?: boolean;\n history?: boolean;\n sentry?: boolean;\n xhr?: boolean;\n}\n\n/**\n * Default Breadcrumbs instrumentations\n * TODO: Deprecated - with v6, this will be renamed to `Instrument`\n */\nexport class Breadcrumbs implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = Breadcrumbs.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'Breadcrumbs';\n\n /** JSDoc */\n private readonly _options: BreadcrumbIntegrations;\n\n /**\n * @inheritDoc\n */\n public constructor(options?: BreadcrumbIntegrations) {\n this._options = {\n console: true,\n dom: true,\n fetch: true,\n history: true,\n sentry: true,\n xhr: true,\n ...options,\n };\n }\n\n /**\n * Creates breadcrumbs from console API calls\n */\n private _consoleBreadcrumb(handlerData: { [key: string]: any }): void {\n const breadcrumb = {\n category: 'console',\n data: {\n arguments: handlerData.args,\n logger: 'console',\n },\n level: Severity.fromString(handlerData.level),\n message: safeJoin(handlerData.args, ' '),\n };\n\n if (handlerData.level === 'assert') {\n if (handlerData.args[0] === false) {\n breadcrumb.message = `Assertion failed: ${safeJoin(handlerData.args.slice(1), ' ') || 'console.assert'}`;\n breadcrumb.data.arguments = handlerData.args.slice(1);\n } else {\n // Don't capture a breadcrumb for passed assertions\n return;\n }\n }\n\n getCurrentHub().addBreadcrumb(breadcrumb, {\n input: handlerData.args,\n level: handlerData.level,\n });\n }\n\n /**\n * Creates breadcrumbs from DOM API calls\n */\n private _domBreadcrumb(handlerData: { [key: string]: any }): void {\n let target;\n\n // Accessing event.target can throw (see getsentry/raven-js#838, #768)\n try {\n target = handlerData.event.target\n ? htmlTreeAsString(handlerData.event.target as Node)\n : htmlTreeAsString((handlerData.event as unknown) as Node);\n } catch (e) {\n target = '';\n }\n\n if (target.length === 0) {\n return;\n }\n\n getCurrentHub().addBreadcrumb(\n {\n category: `ui.${handlerData.name}`,\n message: target,\n },\n {\n event: handlerData.event,\n name: handlerData.name,\n },\n );\n }\n\n /**\n * Creates breadcrumbs from XHR API calls\n */\n private _xhrBreadcrumb(handlerData: { [key: string]: any }): void {\n if (handlerData.endTimestamp) {\n // We only capture complete, non-sentry requests\n if (handlerData.xhr.__sentry_own_request__) {\n return;\n }\n\n getCurrentHub().addBreadcrumb(\n {\n category: 'xhr',\n data: handlerData.xhr.__sentry_xhr__,\n type: 'http',\n },\n {\n xhr: handlerData.xhr,\n },\n );\n\n return;\n }\n\n // We only capture issued sentry requests\n if (this._options.sentry && handlerData.xhr.__sentry_own_request__) {\n addSentryBreadcrumb(handlerData.args[0]);\n }\n }\n\n /**\n * Creates breadcrumbs from fetch API calls\n */\n private _fetchBreadcrumb(handlerData: { [key: string]: any }): void {\n // We only capture complete fetch requests\n if (!handlerData.endTimestamp) {\n return;\n }\n\n const client = getCurrentHub().getClient();\n const dsn = client && client.getDsn();\n if (this._options.sentry && dsn) {\n const filterUrl = new API(dsn).getStoreEndpoint();\n // if Sentry key appears in URL, don't capture it as a request\n // but rather as our own 'sentry' type breadcrumb\n if (\n filterUrl &&\n handlerData.fetchData.url.indexOf(filterUrl) !== -1 &&\n handlerData.fetchData.method === 'POST' &&\n handlerData.args[1] &&\n handlerData.args[1].body\n ) {\n addSentryBreadcrumb(handlerData.args[1].body);\n return;\n }\n }\n\n if (handlerData.error) {\n getCurrentHub().addBreadcrumb(\n {\n category: 'fetch',\n data: {\n ...handlerData.fetchData,\n status_code: handlerData.response.status,\n },\n level: Severity.Error,\n type: 'http',\n },\n {\n data: handlerData.error,\n input: handlerData.args,\n },\n );\n } else {\n getCurrentHub().addBreadcrumb(\n {\n category: 'fetch',\n data: {\n ...handlerData.fetchData,\n status_code: handlerData.response.status,\n },\n type: 'http',\n },\n {\n input: handlerData.args,\n response: handlerData.response,\n },\n );\n }\n }\n\n /**\n * Creates breadcrumbs from history API calls\n */\n private _historyBreadcrumb(handlerData: { [key: string]: any }): void {\n const global = getGlobalObject();\n let from = handlerData.from;\n let to = handlerData.to;\n const parsedLoc = parseUrl(global.location.href);\n let parsedFrom = parseUrl(from);\n const parsedTo = parseUrl(to);\n\n // Initial pushState doesn't provide `from` information\n if (!parsedFrom.path) {\n parsedFrom = parsedLoc;\n }\n\n // Use only the path component of the URL if the URL matches the current\n // document (almost all the time when using pushState)\n if (parsedLoc.protocol === parsedTo.protocol && parsedLoc.host === parsedTo.host) {\n // tslint:disable-next-line:no-parameter-reassignment\n to = parsedTo.relative;\n }\n if (parsedLoc.protocol === parsedFrom.protocol && parsedLoc.host === parsedFrom.host) {\n // tslint:disable-next-line:no-parameter-reassignment\n from = parsedFrom.relative;\n }\n\n getCurrentHub().addBreadcrumb({\n category: 'navigation',\n data: {\n from,\n to,\n },\n });\n }\n\n /**\n * Instrument browser built-ins w/ breadcrumb capturing\n * - Console API\n * - DOM API (click/typing)\n * - XMLHttpRequest API\n * - Fetch API\n * - History API\n */\n public setupOnce(): void {\n if (this._options.console) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._consoleBreadcrumb(...args);\n },\n type: 'console',\n });\n }\n if (this._options.dom) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._domBreadcrumb(...args);\n },\n type: 'dom',\n });\n }\n if (this._options.xhr) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._xhrBreadcrumb(...args);\n },\n type: 'xhr',\n });\n }\n if (this._options.fetch) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._fetchBreadcrumb(...args);\n },\n type: 'fetch',\n });\n }\n if (this._options.history) {\n addInstrumentationHandler({\n callback: (...args) => {\n this._historyBreadcrumb(...args);\n },\n type: 'history',\n });\n }\n }\n}\n\n/**\n * Create a breadcrumb of `sentry` from the events themselves\n */\nfunction addSentryBreadcrumb(serializedData: string): void {\n // There's always something that can go wrong with deserialization...\n try {\n const event = JSON.parse(serializedData);\n getCurrentHub().addBreadcrumb(\n {\n category: `sentry.${event.type === 'transaction' ? 'transaction' : 'event'}`,\n event_id: event.event_id,\n level: event.level || Severity.fromString('error'),\n message: getEventDescription(event),\n },\n {\n event,\n },\n );\n } catch (_oO) {\n logger.error('Error while adding sentry type breadcrumb');\n }\n}\n","import { getCurrentHub, initAndBind, Integrations as CoreIntegrations } from '@sentry/core';\nimport { getGlobalObject, SyncPromise } from '@sentry/utils';\n\nimport { BrowserOptions } from './backend';\nimport { BrowserClient, ReportDialogOptions } from './client';\nimport { wrap as internalWrap } from './helpers';\nimport { Breadcrumbs, GlobalHandlers, LinkedErrors, TryCatch, UserAgent } from './integrations';\n\nexport const defaultIntegrations = [\n new CoreIntegrations.InboundFilters(),\n new CoreIntegrations.FunctionToString(),\n new TryCatch(),\n new Breadcrumbs(),\n new GlobalHandlers(),\n new LinkedErrors(),\n new UserAgent(),\n];\n\n/**\n * The Sentry Browser SDK Client.\n *\n * To use this SDK, call the {@link init} function as early as possible when\n * loading the web page. To set context information or send manual events, use\n * the provided methods.\n *\n * @example\n *\n * ```\n *\n * import { init } from '@sentry/browser';\n *\n * init({\n * dsn: '__DSN__',\n * // ...\n * });\n * ```\n *\n * @example\n * ```\n *\n * import { configureScope } from '@sentry/browser';\n * configureScope((scope: Scope) => {\n * scope.setExtra({ battery: 0.7 });\n * scope.setTag({ user_mode: 'admin' });\n * scope.setUser({ id: '4711' });\n * });\n * ```\n *\n * @example\n * ```\n *\n * import { addBreadcrumb } from '@sentry/browser';\n * addBreadcrumb({\n * message: 'My Breadcrumb',\n * // ...\n * });\n * ```\n *\n * @example\n *\n * ```\n *\n * import * as Sentry from '@sentry/browser';\n * Sentry.captureMessage('Hello, world!');\n * Sentry.captureException(new Error('Good bye'));\n * Sentry.captureEvent({\n * message: 'Manual',\n * stacktrace: [\n * // ...\n * ],\n * });\n * ```\n *\n * @see {@link BrowserOptions} for documentation on configuration options.\n */\nexport function init(options: BrowserOptions = {}): void {\n if (options.defaultIntegrations === undefined) {\n options.defaultIntegrations = defaultIntegrations;\n }\n if (options.release === undefined) {\n const window = getGlobalObject();\n // This supports the variable that sentry-webpack-plugin injects\n if (window.SENTRY_RELEASE && window.SENTRY_RELEASE.id) {\n options.release = window.SENTRY_RELEASE.id;\n }\n }\n initAndBind(BrowserClient, options);\n}\n\n/**\n * Present the user with a report dialog.\n *\n * @param options Everything is optional, we try to fetch all info need from the global scope.\n */\nexport function showReportDialog(options: ReportDialogOptions = {}): void {\n if (!options.eventId) {\n options.eventId = getCurrentHub().lastEventId();\n }\n const client = getCurrentHub().getClient();\n if (client) {\n client.showReportDialog(options);\n }\n}\n\n/**\n * This is the getter for lastEventId.\n *\n * @returns The last event id of a captured event.\n */\nexport function lastEventId(): string | undefined {\n return getCurrentHub().lastEventId();\n}\n\n/**\n * This function is here to be API compatible with the loader.\n * @hidden\n */\nexport function forceLoad(): void {\n // Noop\n}\n\n/**\n * This function is here to be API compatible with the loader.\n * @hidden\n */\nexport function onLoad(callback: () => void): void {\n callback();\n}\n\n/**\n * A promise that resolves when all current events have been sent.\n * If you provide a timeout and the queue takes longer to drain the promise returns false.\n *\n * @param timeout Maximum time in ms the client should wait.\n */\nexport function flush(timeout?: number): PromiseLike {\n const client = getCurrentHub().getClient();\n if (client) {\n return client.flush(timeout);\n }\n return SyncPromise.reject(false);\n}\n\n/**\n * A promise that resolves when all current events have been sent.\n * If you provide a timeout and the queue takes longer to drain the promise returns false.\n *\n * @param timeout Maximum time in ms the client should wait.\n */\nexport function close(timeout?: number): PromiseLike {\n const client = getCurrentHub().getClient();\n if (client) {\n return client.close(timeout);\n }\n return SyncPromise.reject(false);\n}\n\n/**\n * Wrap code within a try/catch block so the SDK is able to capture errors.\n *\n * @param fn A function to wrap.\n *\n * @returns The result of wrapped function call.\n */\nexport function wrap(fn: Function): any {\n return internalWrap(fn)(); // tslint:disable-line:no-unsafe-any\n}\n","/** The status of an event. */\nexport enum Status {\n /** The status could not be determined. */\n Unknown = 'unknown',\n /** The event was skipped due to configuration or callbacks. */\n Skipped = 'skipped',\n /** The event was sent to Sentry successfully. */\n Success = 'success',\n /** The client is currently rate limited and will try again later. */\n RateLimit = 'rate_limit',\n /** The event could not be processed. */\n Invalid = 'invalid',\n /** A server-side error ocurred during submission. */\n Failed = 'failed',\n}\n// tslint:disable:completed-docs\n// tslint:disable:no-unnecessary-qualifier no-namespace\nexport namespace Status {\n /**\n * Converts a HTTP status code into a {@link Status}.\n *\n * @param code The HTTP response status code.\n * @returns The send status or {@link Status.Unknown}.\n */\n export function fromHttpCode(code: number): Status {\n if (code >= 200 && code < 300) {\n return Status.Success;\n }\n\n if (code === 429) {\n return Status.RateLimit;\n }\n\n if (code >= 400 && code < 500) {\n return Status.Invalid;\n }\n\n if (code >= 500) {\n return Status.Failed;\n }\n\n return Status.Unknown;\n }\n}\n","import { isThenable } from './is';\n\n/** SyncPromise internal states */\nenum States {\n /** Pending */\n PENDING = 'PENDING',\n /** Resolved / OK */\n RESOLVED = 'RESOLVED',\n /** Rejected / Error */\n REJECTED = 'REJECTED',\n}\n\n/**\n * Thenable class that behaves like a Promise and follows it's interface\n * but is not async internally\n */\nclass SyncPromise implements PromiseLike {\n private _state: States = States.PENDING;\n private _handlers: Array<{\n done: boolean;\n onfulfilled?: ((value: T) => T | PromiseLike) | null;\n onrejected?: ((reason: any) => any) | null;\n }> = [];\n private _value: any;\n\n public constructor(\n executor: (resolve: (value?: T | PromiseLike | null) => void, reject: (reason?: any) => void) => void,\n ) {\n try {\n executor(this._resolve, this._reject);\n } catch (e) {\n this._reject(e);\n }\n }\n\n /** JSDoc */\n public toString(): string {\n return '[object SyncPromise]';\n }\n\n /** JSDoc */\n public static resolve(value: T | PromiseLike): PromiseLike {\n return new SyncPromise(resolve => {\n resolve(value);\n });\n }\n\n /** JSDoc */\n public static reject(reason?: any): PromiseLike {\n return new SyncPromise((_, reject) => {\n reject(reason);\n });\n }\n\n /** JSDoc */\n public static all(collection: Array>): PromiseLike {\n return new SyncPromise((resolve, reject) => {\n if (!Array.isArray(collection)) {\n reject(new TypeError(`Promise.all requires an array as input.`));\n return;\n }\n\n if (collection.length === 0) {\n resolve([]);\n return;\n }\n\n let counter = collection.length;\n const resolvedCollection: U[] = [];\n\n collection.forEach((item, index) => {\n SyncPromise.resolve(item)\n .then(value => {\n resolvedCollection[index] = value;\n counter -= 1;\n\n if (counter !== 0) {\n return;\n }\n resolve(resolvedCollection);\n })\n .then(null, reject);\n });\n });\n }\n\n /** JSDoc */\n public then(\n onfulfilled?: ((value: T) => TResult1 | PromiseLike) | null,\n onrejected?: ((reason: any) => TResult2 | PromiseLike) | null,\n ): PromiseLike {\n return new SyncPromise((resolve, reject) => {\n this._attachHandler({\n done: false,\n onfulfilled: result => {\n if (!onfulfilled) {\n // TODO: ¯\\_(ツ)_/¯\n // TODO: FIXME\n resolve(result as any);\n return;\n }\n try {\n resolve(onfulfilled(result));\n return;\n } catch (e) {\n reject(e);\n return;\n }\n },\n onrejected: reason => {\n if (!onrejected) {\n reject(reason);\n return;\n }\n try {\n resolve(onrejected(reason));\n return;\n } catch (e) {\n reject(e);\n return;\n }\n },\n });\n });\n }\n\n /** JSDoc */\n public catch(\n onrejected?: ((reason: any) => TResult | PromiseLike) | null,\n ): PromiseLike {\n return this.then(val => val, onrejected);\n }\n\n /** JSDoc */\n public finally(onfinally?: (() => void) | null): PromiseLike {\n return new SyncPromise((resolve, reject) => {\n let val: TResult | any;\n let isRejected: boolean;\n\n return this.then(\n value => {\n isRejected = false;\n val = value;\n if (onfinally) {\n onfinally();\n }\n },\n reason => {\n isRejected = true;\n val = reason;\n if (onfinally) {\n onfinally();\n }\n },\n ).then(() => {\n if (isRejected) {\n reject(val);\n return;\n }\n\n resolve((val as unknown) as any);\n });\n });\n }\n\n /** JSDoc */\n private readonly _resolve = (value?: T | PromiseLike | null) => {\n this._setResult(States.RESOLVED, value);\n };\n\n /** JSDoc */\n private readonly _reject = (reason?: any) => {\n this._setResult(States.REJECTED, reason);\n };\n\n /** JSDoc */\n private readonly _setResult = (state: States, value?: T | PromiseLike | any) => {\n if (this._state !== States.PENDING) {\n return;\n }\n\n if (isThenable(value)) {\n (value as PromiseLike).then(this._resolve, this._reject);\n return;\n }\n\n this._state = state;\n this._value = value;\n\n this._executeHandlers();\n };\n\n // TODO: FIXME\n /** JSDoc */\n private readonly _attachHandler = (handler: {\n /** JSDoc */\n done: boolean;\n /** JSDoc */\n onfulfilled?(value: T): any;\n /** JSDoc */\n onrejected?(reason: any): any;\n }) => {\n this._handlers = this._handlers.concat(handler);\n this._executeHandlers();\n };\n\n /** JSDoc */\n private readonly _executeHandlers = () => {\n if (this._state === States.PENDING) {\n return;\n }\n\n const cachedHandlers = this._handlers.slice();\n this._handlers = [];\n\n cachedHandlers.forEach(handler => {\n if (handler.done) {\n return;\n }\n\n if (this._state === States.RESOLVED) {\n if (handler.onfulfilled) {\n handler.onfulfilled((this._value as unknown) as any);\n }\n }\n\n if (this._state === States.REJECTED) {\n if (handler.onrejected) {\n handler.onrejected(this._value);\n }\n }\n\n handler.done = true;\n });\n };\n}\n\nexport { SyncPromise };\n","import { Integration, WrappedFunction } from '@sentry/types';\n\nlet originalFunctionToString: () => void;\n\n/** Patch toString calls to return proper name for wrapped functions */\nexport class FunctionToString implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = FunctionToString.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'FunctionToString';\n\n /**\n * @inheritDoc\n */\n public setupOnce(): void {\n originalFunctionToString = Function.prototype.toString;\n\n Function.prototype.toString = function(this: WrappedFunction, ...args: any[]): string {\n const context = this.__sentry_original__ || this;\n // tslint:disable-next-line:no-unsafe-any\n return originalFunctionToString.apply(context, args);\n };\n }\n}\n","export const setPrototypeOf =\n Object.setPrototypeOf || ({ __proto__: [] } instanceof Array ? setProtoOf : mixinProperties); // tslint:disable-line:no-unbound-method\n\n/**\n * setPrototypeOf polyfill using __proto__\n */\nfunction setProtoOf(obj: TTarget, proto: TProto): TTarget & TProto {\n // @ts-ignore\n obj.__proto__ = proto;\n return obj as TTarget & TProto;\n}\n\n/**\n * setPrototypeOf polyfill using mixin\n */\nfunction mixinProperties(obj: TTarget, proto: TProto): TTarget & TProto {\n for (const prop in proto) {\n if (!obj.hasOwnProperty(prop)) {\n // @ts-ignore\n obj[prop] = proto[prop];\n }\n }\n\n return obj as TTarget & TProto;\n}\n","import { setPrototypeOf } from './polyfill';\n\n/** An error emitted by Sentry SDKs and related utilities. */\nexport class SentryError extends Error {\n /** Display name of this error instance. */\n public name: string;\n\n public constructor(public message: string) {\n super(message);\n\n // tslint:disable:no-unsafe-any\n this.name = new.target.prototype.constructor.name;\n setPrototypeOf(this, new.target.prototype);\n }\n}\n","import { DsnComponents, DsnLike, DsnProtocol } from '@sentry/types';\n\nimport { SentryError } from './error';\n\n/** Regular expression used to parse a Dsn. */\nconst DSN_REGEX = /^(?:(\\w+):)\\/\\/(?:(\\w+)(?::(\\w+))?@)([\\w\\.-]+)(?::(\\d+))?\\/(.+)/;\n\n/** Error message */\nconst ERROR_MESSAGE = 'Invalid Dsn';\n\n/** The Sentry Dsn, identifying a Sentry instance and project. */\nexport class Dsn implements DsnComponents {\n /** Protocol used to connect to Sentry. */\n public protocol!: DsnProtocol;\n /** Public authorization key. */\n public user!: string;\n /** Private authorization key (deprecated, optional). */\n public pass!: string;\n /** Hostname of the Sentry instance. */\n public host!: string;\n /** Port of the Sentry instance. */\n public port!: string;\n /** Path */\n public path!: string;\n /** Project ID */\n public projectId!: string;\n\n /** Creates a new Dsn component */\n public constructor(from: DsnLike) {\n if (typeof from === 'string') {\n this._fromString(from);\n } else {\n this._fromComponents(from);\n }\n\n this._validate();\n }\n\n /**\n * Renders the string representation of this Dsn.\n *\n * By default, this will render the public representation without the password\n * component. To get the deprecated private representation, set `withPassword`\n * to true.\n *\n * @param withPassword When set to true, the password will be included.\n */\n public toString(withPassword: boolean = false): string {\n // tslint:disable-next-line:no-this-assignment\n const { host, path, pass, port, projectId, protocol, user } = this;\n return (\n `${protocol}://${user}${withPassword && pass ? `:${pass}` : ''}` +\n `@${host}${port ? `:${port}` : ''}/${path ? `${path}/` : path}${projectId}`\n );\n }\n\n /** Parses a string into this Dsn. */\n private _fromString(str: string): void {\n const match = DSN_REGEX.exec(str);\n\n if (!match) {\n throw new SentryError(ERROR_MESSAGE);\n }\n\n const [protocol, user, pass = '', host, port = '', lastPath] = match.slice(1);\n let path = '';\n let projectId = lastPath;\n\n const split = projectId.split('/');\n if (split.length > 1) {\n path = split.slice(0, -1).join('/');\n projectId = split.pop() as string;\n }\n\n this._fromComponents({ host, pass, path, projectId, port, protocol: protocol as DsnProtocol, user });\n }\n\n /** Maps Dsn components into this instance. */\n private _fromComponents(components: DsnComponents): void {\n this.protocol = components.protocol;\n this.user = components.user;\n this.pass = components.pass || '';\n this.host = components.host;\n this.port = components.port || '';\n this.path = components.path || '';\n this.projectId = components.projectId;\n }\n\n /** Validates this Dsn and throws on error. */\n private _validate(): void {\n ['protocol', 'user', 'host', 'projectId'].forEach(component => {\n if (!this[component as keyof DsnComponents]) {\n throw new SentryError(ERROR_MESSAGE);\n }\n });\n\n if (this.protocol !== 'http' && this.protocol !== 'https') {\n throw new SentryError(ERROR_MESSAGE);\n }\n\n if (this.port && isNaN(parseInt(this.port, 10))) {\n throw new SentryError(ERROR_MESSAGE);\n }\n }\n}\n","import { DsnLike } from '@sentry/types';\nimport { Dsn, urlEncode } from '@sentry/utils';\n\nconst SENTRY_API_VERSION = '7';\n\n/** Helper class to provide urls to different Sentry endpoints. */\nexport class API {\n /** The internally used Dsn object. */\n private readonly _dsnObject: Dsn;\n /** Create a new instance of API */\n public constructor(public dsn: DsnLike) {\n this._dsnObject = new Dsn(dsn);\n }\n\n /** Returns the Dsn object. */\n public getDsn(): Dsn {\n return this._dsnObject;\n }\n\n /** Returns a string with auth headers in the url to the store endpoint. */\n public getStoreEndpoint(): string {\n return `${this._getBaseUrl()}${this.getStoreEndpointPath()}`;\n }\n\n /** Returns the store endpoint with auth added in url encoded. */\n public getStoreEndpointWithUrlEncodedAuth(): string {\n const dsn = this._dsnObject;\n const auth = {\n sentry_key: dsn.user, // sentry_key is currently used in tracing integration to identify internal sentry requests\n sentry_version: SENTRY_API_VERSION,\n };\n // Auth is intentionally sent as part of query string (NOT as custom HTTP header)\n // to avoid preflight CORS requests\n return `${this.getStoreEndpoint()}?${urlEncode(auth)}`;\n }\n\n /** Returns the base path of the url including the port. */\n private _getBaseUrl(): string {\n const dsn = this._dsnObject;\n const protocol = dsn.protocol ? `${dsn.protocol}:` : '';\n const port = dsn.port ? `:${dsn.port}` : '';\n return `${protocol}//${dsn.host}${port}`;\n }\n\n /** Returns only the path component for the store endpoint. */\n public getStoreEndpointPath(): string {\n const dsn = this._dsnObject;\n return `${dsn.path ? `/${dsn.path}` : ''}/api/${dsn.projectId}/store/`;\n }\n\n /** Returns an object that can be used in request headers. */\n public getRequestHeaders(clientName: string, clientVersion: string): { [key: string]: string } {\n const dsn = this._dsnObject;\n const header = [`Sentry sentry_version=${SENTRY_API_VERSION}`];\n header.push(`sentry_client=${clientName}/${clientVersion}`);\n header.push(`sentry_key=${dsn.user}`);\n if (dsn.pass) {\n header.push(`sentry_secret=${dsn.pass}`);\n }\n return {\n 'Content-Type': 'application/json',\n 'X-Sentry-Auth': header.join(', '),\n };\n }\n\n /** Returns the url to the report dialog endpoint. */\n public getReportDialogEndpoint(\n dialogOptions: {\n [key: string]: any;\n user?: { name?: string; email?: string };\n } = {},\n ): string {\n const dsn = this._dsnObject;\n const endpoint = `${this._getBaseUrl()}${dsn.path ? `/${dsn.path}` : ''}/api/embed/error-page/`;\n\n const encodedOptions = [];\n encodedOptions.push(`dsn=${dsn.toString()}`);\n for (const key in dialogOptions) {\n if (key === 'user') {\n if (!dialogOptions.user) {\n continue;\n }\n if (dialogOptions.user.name) {\n encodedOptions.push(`name=${encodeURIComponent(dialogOptions.user.name)}`);\n }\n if (dialogOptions.user.email) {\n encodedOptions.push(`email=${encodeURIComponent(dialogOptions.user.email)}`);\n }\n } else {\n encodedOptions.push(`${encodeURIComponent(key)}=${encodeURIComponent(dialogOptions[key] as string)}`);\n }\n }\n if (encodedOptions.length) {\n return `${endpoint}?${encodedOptions.join('&')}`;\n }\n\n return endpoint;\n }\n}\n","import { Scope } from '@sentry/hub';\nimport { Client, Event, EventHint, Integration, IntegrationClass, Options, SdkInfo, Severity } from '@sentry/types';\nimport { Dsn, isPrimitive, isThenable, logger, normalize, SyncPromise, truncate, uuid4 } from '@sentry/utils';\n\nimport { Backend, BackendClass } from './basebackend';\nimport { IntegrationIndex, setupIntegrations } from './integration';\n\n/**\n * Base implementation for all JavaScript SDK clients.\n *\n * Call the constructor with the corresponding backend constructor and options\n * specific to the client subclass. To access these options later, use\n * {@link Client.getOptions}. Also, the Backend instance is available via\n * {@link Client.getBackend}.\n *\n * If a Dsn is specified in the options, it will be parsed and stored. Use\n * {@link Client.getDsn} to retrieve the Dsn at any moment. In case the Dsn is\n * invalid, the constructor will throw a {@link SentryException}. Note that\n * without a valid Dsn, the SDK will not send any events to Sentry.\n *\n * Before sending an event via the backend, it is passed through\n * {@link BaseClient.prepareEvent} to add SDK information and scope data\n * (breadcrumbs and context). To add more custom information, override this\n * method and extend the resulting prepared event.\n *\n * To issue automatically created events (e.g. via instrumentation), use\n * {@link Client.captureEvent}. It will prepare the event and pass it through\n * the callback lifecycle. To issue auto-breadcrumbs, use\n * {@link Client.addBreadcrumb}.\n *\n * @example\n * class NodeClient extends BaseClient {\n * public constructor(options: NodeOptions) {\n * super(NodeBackend, options);\n * }\n *\n * // ...\n * }\n */\nexport abstract class BaseClient implements Client {\n /**\n * The backend used to physically interact in the enviornment. Usually, this\n * will correspond to the client. When composing SDKs, however, the Backend\n * from the root SDK will be used.\n */\n protected readonly _backend: B;\n\n /** Options passed to the SDK. */\n protected readonly _options: O;\n\n /** The client Dsn, if specified in options. Without this Dsn, the SDK will be disabled. */\n protected readonly _dsn?: Dsn;\n\n /** Array of used integrations. */\n protected _integrations: IntegrationIndex = {};\n\n /** Is the client still processing a call? */\n protected _processing: boolean = false;\n\n /**\n * Initializes this client instance.\n *\n * @param backendClass A constructor function to create the backend.\n * @param options Options for the client.\n */\n protected constructor(backendClass: BackendClass, options: O) {\n this._backend = new backendClass(options);\n this._options = options;\n\n if (options.dsn) {\n this._dsn = new Dsn(options.dsn);\n }\n }\n\n /**\n * @inheritDoc\n */\n public captureException(exception: any, hint?: EventHint, scope?: Scope): string | undefined {\n let eventId: string | undefined = hint && hint.event_id;\n this._processing = true;\n\n this._getBackend()\n .eventFromException(exception, hint)\n .then(event => this._processEvent(event, hint, scope))\n .then(finalEvent => {\n // We need to check for finalEvent in case beforeSend returned null\n eventId = finalEvent && finalEvent.event_id;\n this._processing = false;\n })\n .then(null, reason => {\n logger.error(reason);\n this._processing = false;\n });\n\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public captureMessage(message: string, level?: Severity, hint?: EventHint, scope?: Scope): string | undefined {\n let eventId: string | undefined = hint && hint.event_id;\n\n this._processing = true;\n\n const promisedEvent = isPrimitive(message)\n ? this._getBackend().eventFromMessage(`${message}`, level, hint)\n : this._getBackend().eventFromException(message, hint);\n\n promisedEvent\n .then(event => this._processEvent(event, hint, scope))\n .then(finalEvent => {\n // We need to check for finalEvent in case beforeSend returned null\n eventId = finalEvent && finalEvent.event_id;\n this._processing = false;\n })\n .then(null, reason => {\n logger.error(reason);\n this._processing = false;\n });\n\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public captureEvent(event: Event, hint?: EventHint, scope?: Scope): string | undefined {\n let eventId: string | undefined = hint && hint.event_id;\n this._processing = true;\n\n this._processEvent(event, hint, scope)\n .then(finalEvent => {\n // We need to check for finalEvent in case beforeSend returned null\n eventId = finalEvent && finalEvent.event_id;\n this._processing = false;\n })\n .then(null, reason => {\n logger.error(reason);\n this._processing = false;\n });\n\n return eventId;\n }\n\n /**\n * @inheritDoc\n */\n public getDsn(): Dsn | undefined {\n return this._dsn;\n }\n\n /**\n * @inheritDoc\n */\n public getOptions(): O {\n return this._options;\n }\n\n /**\n * @inheritDoc\n */\n public flush(timeout?: number): PromiseLike {\n return this._isClientProcessing(timeout).then(status => {\n clearInterval(status.interval);\n return this._getBackend()\n .getTransport()\n .close(timeout)\n .then(transportFlushed => status.ready && transportFlushed);\n });\n }\n\n /**\n * @inheritDoc\n */\n public close(timeout?: number): PromiseLike {\n return this.flush(timeout).then(result => {\n this.getOptions().enabled = false;\n return result;\n });\n }\n\n /**\n * Sets up the integrations\n */\n public setupIntegrations(): void {\n if (this._isEnabled()) {\n this._integrations = setupIntegrations(this._options);\n }\n }\n\n /**\n * @inheritDoc\n */\n public getIntegration(integration: IntegrationClass): T | null {\n try {\n return (this._integrations[integration.id] as T) || null;\n } catch (_oO) {\n logger.warn(`Cannot retrieve integration ${integration.id} from the current Client`);\n return null;\n }\n }\n\n /** Waits for the client to be done with processing. */\n protected _isClientProcessing(timeout?: number): PromiseLike<{ ready: boolean; interval: number }> {\n return new SyncPromise<{ ready: boolean; interval: number }>(resolve => {\n let ticked: number = 0;\n const tick: number = 1;\n\n let interval = 0;\n clearInterval(interval);\n\n interval = (setInterval(() => {\n if (!this._processing) {\n resolve({\n interval,\n ready: true,\n });\n } else {\n ticked += tick;\n if (timeout && ticked >= timeout) {\n resolve({\n interval,\n ready: false,\n });\n }\n }\n }, tick) as unknown) as number;\n });\n }\n\n /** Returns the current backend. */\n protected _getBackend(): B {\n return this._backend;\n }\n\n /** Determines whether this SDK is enabled and a valid Dsn is present. */\n protected _isEnabled(): boolean {\n return this.getOptions().enabled !== false && this._dsn !== undefined;\n }\n\n /**\n * Adds common information to events.\n *\n * The information includes release and environment from `options`,\n * breadcrumbs and context (extra, tags and user) from the scope.\n *\n * Information that is already present in the event is never overwritten. For\n * nested objects, such as the context, keys are merged.\n *\n * @param event The original event.\n * @param hint May contain additional informartion about the original exception.\n * @param scope A scope containing event metadata.\n * @returns A new event with more information.\n */\n protected _prepareEvent(event: Event, scope?: Scope, hint?: EventHint): PromiseLike {\n const { environment, release, dist, maxValueLength = 250, normalizeDepth = 3 } = this.getOptions();\n\n const prepared: Event = { ...event };\n if (prepared.environment === undefined && environment !== undefined) {\n prepared.environment = environment;\n }\n if (prepared.release === undefined && release !== undefined) {\n prepared.release = release;\n }\n\n if (prepared.dist === undefined && dist !== undefined) {\n prepared.dist = dist;\n }\n\n if (prepared.message) {\n prepared.message = truncate(prepared.message, maxValueLength);\n }\n\n const exception = prepared.exception && prepared.exception.values && prepared.exception.values[0];\n if (exception && exception.value) {\n exception.value = truncate(exception.value, maxValueLength);\n }\n\n const request = prepared.request;\n if (request && request.url) {\n request.url = truncate(request.url, maxValueLength);\n }\n\n if (prepared.event_id === undefined) {\n prepared.event_id = hint && hint.event_id ? hint.event_id : uuid4();\n }\n\n this._addIntegrations(prepared.sdk);\n\n // We prepare the result here with a resolved Event.\n let result = SyncPromise.resolve(prepared);\n\n // This should be the last thing called, since we want that\n // {@link Hub.addEventProcessor} gets the finished prepared event.\n if (scope) {\n // In case we have a hub we reassign it.\n result = scope.applyToEvent(prepared, hint);\n }\n\n return result.then(evt => {\n // tslint:disable-next-line:strict-type-predicates\n if (typeof normalizeDepth === 'number' && normalizeDepth > 0) {\n return this._normalizeEvent(evt, normalizeDepth);\n }\n return evt;\n });\n }\n\n /**\n * Applies `normalize` function on necessary `Event` attributes to make them safe for serialization.\n * Normalized keys:\n * - `breadcrumbs.data`\n * - `user`\n * - `contexts`\n * - `extra`\n * @param event Event\n * @returns Normalized event\n */\n protected _normalizeEvent(event: Event | null, depth: number): Event | null {\n if (!event) {\n return null;\n }\n\n // tslint:disable:no-unsafe-any\n return {\n ...event,\n ...(event.breadcrumbs && {\n breadcrumbs: event.breadcrumbs.map(b => ({\n ...b,\n ...(b.data && {\n data: normalize(b.data, depth),\n }),\n })),\n }),\n ...(event.user && {\n user: normalize(event.user, depth),\n }),\n ...(event.contexts && {\n contexts: normalize(event.contexts, depth),\n }),\n ...(event.extra && {\n extra: normalize(event.extra, depth),\n }),\n };\n }\n\n /**\n * This function adds all used integrations to the SDK info in the event.\n * @param sdkInfo The sdkInfo of the event that will be filled with all integrations.\n */\n protected _addIntegrations(sdkInfo?: SdkInfo): void {\n const integrationsArray = Object.keys(this._integrations);\n if (sdkInfo && integrationsArray.length > 0) {\n sdkInfo.integrations = integrationsArray;\n }\n }\n\n /**\n * Processes an event (either error or message) and sends it to Sentry.\n *\n * This also adds breadcrumbs and context information to the event. However,\n * platform specific meta data (such as the User's IP address) must be added\n * by the SDK implementor.\n *\n *\n * @param event The event to send to Sentry.\n * @param hint May contain additional informartion about the original exception.\n * @param scope A scope containing event metadata.\n * @returns A SyncPromise that resolves with the event or rejects in case event was/will not be send.\n */\n protected _processEvent(event: Event, hint?: EventHint, scope?: Scope): PromiseLike {\n const { beforeSend, sampleRate } = this.getOptions();\n\n if (!this._isEnabled()) {\n return SyncPromise.reject('SDK not enabled, will not send event.');\n }\n\n // 1.0 === 100% events are sent\n // 0.0 === 0% events are sent\n if (typeof sampleRate === 'number' && Math.random() > sampleRate) {\n return SyncPromise.reject('This event has been sampled, will not send event.');\n }\n\n return new SyncPromise((resolve, reject) => {\n this._prepareEvent(event, scope, hint)\n .then(prepared => {\n if (prepared === null) {\n reject('An event processor returned null, will not send event.');\n return;\n }\n\n let finalEvent: Event | null = prepared;\n\n const isInternalException = hint && hint.data && (hint.data as { [key: string]: any }).__sentry__ === true;\n if (isInternalException || !beforeSend) {\n this._getBackend().sendEvent(finalEvent);\n resolve(finalEvent);\n return;\n }\n\n const beforeSendResult = beforeSend(prepared, hint);\n // tslint:disable-next-line:strict-type-predicates\n if (typeof beforeSendResult === 'undefined') {\n logger.error('`beforeSend` method has to return `null` or a valid event.');\n } else if (isThenable(beforeSendResult)) {\n this._handleAsyncBeforeSend(beforeSendResult as PromiseLike, resolve, reject);\n } else {\n finalEvent = beforeSendResult as Event | null;\n\n if (finalEvent === null) {\n logger.log('`beforeSend` returned `null`, will not send event.');\n resolve(null);\n return;\n }\n\n // From here on we are really async\n this._getBackend().sendEvent(finalEvent);\n resolve(finalEvent);\n }\n })\n .then(null, reason => {\n this.captureException(reason, {\n data: {\n __sentry__: true,\n },\n originalException: reason as Error,\n });\n reject(\n `Event processing pipeline threw an error, original event will not be sent. Details have been sent as a new event.\\nReason: ${reason}`,\n );\n });\n });\n }\n\n /**\n * Resolves before send Promise and calls resolve/reject on parent SyncPromise.\n */\n private _handleAsyncBeforeSend(\n beforeSend: PromiseLike,\n resolve: (event: Event) => void,\n reject: (reason: string) => void,\n ): void {\n beforeSend\n .then(processedEvent => {\n if (processedEvent === null) {\n reject('`beforeSend` returned `null`, will not send event.');\n return;\n }\n // From here on we are really async\n this._getBackend().sendEvent(processedEvent);\n resolve(processedEvent);\n })\n .then(null, e => {\n reject(`beforeSend rejected with ${e}`);\n });\n }\n}\n","import { Event, Response, Status, Transport } from '@sentry/types';\nimport { SyncPromise } from '@sentry/utils';\n\n/** Noop transport */\nexport class NoopTransport implements Transport {\n /**\n * @inheritDoc\n */\n public sendEvent(_: Event): PromiseLike {\n return SyncPromise.resolve({\n reason: `NoopTransport: Event has been skipped because no Dsn is configured.`,\n status: Status.Skipped,\n });\n }\n\n /**\n * @inheritDoc\n */\n public close(_?: number): PromiseLike {\n return SyncPromise.resolve(true);\n }\n}\n","import { Event, EventHint, Options, Severity, Transport } from '@sentry/types';\nimport { logger, SentryError } from '@sentry/utils';\n\nimport { NoopTransport } from './transports/noop';\n\n/**\n * Internal platform-dependent Sentry SDK Backend.\n *\n * While {@link Client} contains business logic specific to an SDK, the\n * Backend offers platform specific implementations for low-level operations.\n * These are persisting and loading information, sending events, and hooking\n * into the environment.\n *\n * Backends receive a handle to the Client in their constructor. When a\n * Backend automatically generates events, it must pass them to\n * the Client for validation and processing first.\n *\n * Usually, the Client will be of corresponding type, e.g. NodeBackend\n * receives NodeClient. However, higher-level SDKs can choose to instanciate\n * multiple Backends and delegate tasks between them. In this case, an event\n * generated by one backend might very well be sent by another one.\n *\n * The client also provides access to options via {@link Client.getOptions}.\n * @hidden\n */\nexport interface Backend {\n /** Creates a {@link Event} from an exception. */\n eventFromException(exception: any, hint?: EventHint): PromiseLike;\n\n /** Creates a {@link Event} from a plain message. */\n eventFromMessage(message: string, level?: Severity, hint?: EventHint): PromiseLike;\n\n /** Submits the event to Sentry */\n sendEvent(event: Event): void;\n\n /**\n * Returns the transport that is used by the backend.\n * Please note that the transport gets lazy initialized so it will only be there once the first event has been sent.\n *\n * @returns The transport.\n */\n getTransport(): Transport;\n}\n\n/**\n * A class object that can instanciate Backend objects.\n * @hidden\n */\nexport type BackendClass = new (options: O) => B;\n\n/**\n * This is the base implemention of a Backend.\n * @hidden\n */\nexport abstract class BaseBackend implements Backend {\n /** Options passed to the SDK. */\n protected readonly _options: O;\n\n /** Cached transport used internally. */\n protected _transport: Transport;\n\n /** Creates a new backend instance. */\n public constructor(options: O) {\n this._options = options;\n if (!this._options.dsn) {\n logger.warn('No DSN provided, backend will not do anything.');\n }\n this._transport = this._setupTransport();\n }\n\n /**\n * Sets up the transport so it can be used later to send requests.\n */\n protected _setupTransport(): Transport {\n return new NoopTransport();\n }\n\n /**\n * @inheritDoc\n */\n public eventFromException(_exception: any, _hint?: EventHint): PromiseLike {\n throw new SentryError('Backend has to implement `eventFromException` method');\n }\n\n /**\n * @inheritDoc\n */\n public eventFromMessage(_message: string, _level?: Severity, _hint?: EventHint): PromiseLike {\n throw new SentryError('Backend has to implement `eventFromMessage` method');\n }\n\n /**\n * @inheritDoc\n */\n public sendEvent(event: Event): void {\n this._transport.sendEvent(event).then(null, reason => {\n logger.error(`Error while sending event: ${reason}`);\n });\n }\n\n /**\n * @inheritDoc\n */\n public getTransport(): Transport {\n return this._transport;\n }\n}\n","import { SentryError } from './error';\nimport { SyncPromise } from './syncpromise';\n\n/** A simple queue that holds promises. */\nexport class PromiseBuffer {\n public constructor(protected _limit?: number) {}\n\n /** Internal set of queued Promises */\n private readonly _buffer: Array> = [];\n\n /**\n * Says if the buffer is ready to take more requests\n */\n public isReady(): boolean {\n return this._limit === undefined || this.length() < this._limit;\n }\n\n /**\n * Add a promise to the queue.\n *\n * @param task Can be any PromiseLike\n * @returns The original promise.\n */\n public add(task: PromiseLike): PromiseLike {\n if (!this.isReady()) {\n return SyncPromise.reject(new SentryError('Not adding Promise due to buffer limit reached.'));\n }\n if (this._buffer.indexOf(task) === -1) {\n this._buffer.push(task);\n }\n task\n .then(() => this.remove(task))\n .then(null, () =>\n this.remove(task).then(null, () => {\n // We have to add this catch here otherwise we have an unhandledPromiseRejection\n // because it's a new Promise chain.\n }),\n );\n return task;\n }\n\n /**\n * Remove a promise to the queue.\n *\n * @param task Can be any PromiseLike\n * @returns Removed promise.\n */\n public remove(task: PromiseLike): PromiseLike {\n const removedTask = this._buffer.splice(this._buffer.indexOf(task), 1)[0];\n return removedTask;\n }\n\n /**\n * This function returns the number of unresolved promises in the queue.\n */\n public length(): number {\n return this._buffer.length;\n }\n\n /**\n * This will drain the whole queue, returns true if queue is empty or drained.\n * If timeout is provided and the queue takes longer to drain, the promise still resolves but with false.\n *\n * @param timeout Number in ms to wait until it resolves with false.\n */\n public drain(timeout?: number): PromiseLike {\n return new SyncPromise(resolve => {\n const capturedSetTimeout = setTimeout(() => {\n if (timeout && timeout > 0) {\n resolve(false);\n }\n }, timeout);\n SyncPromise.all(this._buffer)\n .then(() => {\n clearTimeout(capturedSetTimeout);\n resolve(true);\n })\n .then(null, () => {\n resolve(true);\n });\n });\n }\n}\n","import { API } from '@sentry/core';\nimport { Event, Response, Transport, TransportOptions } from '@sentry/types';\nimport { PromiseBuffer, SentryError } from '@sentry/utils';\n\n/** Base Transport class implementation */\nexport abstract class BaseTransport implements Transport {\n /**\n * @inheritDoc\n */\n public url: string;\n\n /** A simple buffer holding all requests. */\n protected readonly _buffer: PromiseBuffer = new PromiseBuffer(30);\n\n public constructor(public options: TransportOptions) {\n this.url = new API(this.options.dsn).getStoreEndpointWithUrlEncodedAuth();\n }\n\n /**\n * @inheritDoc\n */\n public sendEvent(_: Event): PromiseLike {\n throw new SentryError('Transport Class has to implement `sendEvent` method');\n }\n\n /**\n * @inheritDoc\n */\n public close(timeout?: number): PromiseLike {\n return this._buffer.drain(timeout);\n }\n}\n","import { Event, Response, Status } from '@sentry/types';\nimport { getGlobalObject, logger, parseRetryAfterHeader, supportsReferrerPolicy, SyncPromise } from '@sentry/utils';\n\nimport { BaseTransport } from './base';\n\nconst global = getGlobalObject();\n\n/** `fetch` based transport */\nexport class FetchTransport extends BaseTransport {\n /** Locks transport after receiving 429 response */\n private _disabledUntil: Date = new Date(Date.now());\n\n /**\n * @inheritDoc\n */\n public sendEvent(event: Event): PromiseLike {\n if (new Date(Date.now()) < this._disabledUntil) {\n return Promise.reject({\n event,\n reason: `Transport locked till ${this._disabledUntil} due to too many requests.`,\n status: 429,\n });\n }\n\n const defaultOptions: RequestInit = {\n body: JSON.stringify(event),\n method: 'POST',\n // Despite all stars in the sky saying that Edge supports old draft syntax, aka 'never', 'always', 'origin' and 'default\n // https://caniuse.com/#feat=referrer-policy\n // It doesn't. And it throw exception instead of ignoring this parameter...\n // REF: https://github.com/getsentry/raven-js/issues/1233\n referrerPolicy: (supportsReferrerPolicy() ? 'origin' : '') as ReferrerPolicy,\n };\n\n if (this.options.headers !== undefined) {\n defaultOptions.headers = this.options.headers;\n }\n\n return this._buffer.add(\n new SyncPromise((resolve, reject) => {\n global\n .fetch(this.url, defaultOptions)\n .then(response => {\n const status = Status.fromHttpCode(response.status);\n\n if (status === Status.Success) {\n resolve({ status });\n return;\n }\n\n if (status === Status.RateLimit) {\n const now = Date.now();\n this._disabledUntil = new Date(now + parseRetryAfterHeader(now, response.headers.get('Retry-After')));\n logger.warn(`Too many requests, backing off till: ${this._disabledUntil}`);\n }\n\n reject(response);\n })\n .catch(reject);\n }),\n );\n }\n}\n","import { Event, Response, Status } from '@sentry/types';\nimport { logger, parseRetryAfterHeader, SyncPromise } from '@sentry/utils';\n\nimport { BaseTransport } from './base';\n\n/** `XHR` based transport */\nexport class XHRTransport extends BaseTransport {\n /** Locks transport after receiving 429 response */\n private _disabledUntil: Date = new Date(Date.now());\n\n /**\n * @inheritDoc\n */\n public sendEvent(event: Event): PromiseLike {\n if (new Date(Date.now()) < this._disabledUntil) {\n return Promise.reject({\n event,\n reason: `Transport locked till ${this._disabledUntil} due to too many requests.`,\n status: 429,\n });\n }\n\n return this._buffer.add(\n new SyncPromise((resolve, reject) => {\n const request = new XMLHttpRequest();\n\n request.onreadystatechange = () => {\n if (request.readyState !== 4) {\n return;\n }\n\n const status = Status.fromHttpCode(request.status);\n\n if (status === Status.Success) {\n resolve({ status });\n return;\n }\n\n if (status === Status.RateLimit) {\n const now = Date.now();\n this._disabledUntil = new Date(now + parseRetryAfterHeader(now, request.getResponseHeader('Retry-After')));\n logger.warn(`Too many requests, backing off till: ${this._disabledUntil}`);\n }\n\n reject(request);\n };\n\n request.open('POST', this.url);\n for (const header in this.options.headers) {\n if (this.options.headers.hasOwnProperty(header)) {\n request.setRequestHeader(header, this.options.headers[header]);\n }\n }\n request.send(JSON.stringify(event));\n }),\n );\n }\n}\n","import { BaseBackend } from '@sentry/core';\nimport { Event, EventHint, Options, Severity, Transport } from '@sentry/types';\nimport { addExceptionMechanism, supportsFetch, SyncPromise } from '@sentry/utils';\n\nimport { eventFromString, eventFromUnknownInput } from './eventbuilder';\nimport { FetchTransport, XHRTransport } from './transports';\n\n/**\n * Configuration options for the Sentry Browser SDK.\n * @see BrowserClient for more information.\n */\nexport interface BrowserOptions extends Options {\n /**\n * A pattern for error URLs which should not be sent to Sentry.\n * To whitelist certain errors instead, use {@link Options.whitelistUrls}.\n * By default, all errors will be sent.\n */\n blacklistUrls?: Array;\n\n /**\n * A pattern for error URLs which should exclusively be sent to Sentry.\n * This is the opposite of {@link Options.blacklistUrls}.\n * By default, all errors will be sent.\n */\n whitelistUrls?: Array;\n}\n\n/**\n * The Sentry Browser SDK Backend.\n * @hidden\n */\nexport class BrowserBackend extends BaseBackend {\n /**\n * @inheritDoc\n */\n protected _setupTransport(): Transport {\n if (!this._options.dsn) {\n // We return the noop transport here in case there is no Dsn.\n return super._setupTransport();\n }\n\n const transportOptions = {\n ...this._options.transportOptions,\n dsn: this._options.dsn,\n };\n\n if (this._options.transport) {\n return new this._options.transport(transportOptions);\n }\n if (supportsFetch()) {\n return new FetchTransport(transportOptions);\n }\n return new XHRTransport(transportOptions);\n }\n\n /**\n * @inheritDoc\n */\n public eventFromException(exception: any, hint?: EventHint): PromiseLike {\n const syntheticException = (hint && hint.syntheticException) || undefined;\n const event = eventFromUnknownInput(exception, syntheticException, {\n attachStacktrace: this._options.attachStacktrace,\n });\n addExceptionMechanism(event, {\n handled: true,\n type: 'generic',\n });\n event.level = Severity.Error;\n if (hint && hint.event_id) {\n event.event_id = hint.event_id;\n }\n return SyncPromise.resolve(event);\n }\n /**\n * @inheritDoc\n */\n public eventFromMessage(message: string, level: Severity = Severity.Info, hint?: EventHint): PromiseLike {\n const syntheticException = (hint && hint.syntheticException) || undefined;\n const event = eventFromString(message, syntheticException, {\n attachStacktrace: this._options.attachStacktrace,\n });\n event.level = level;\n if (hint && hint.event_id) {\n event.event_id = hint.event_id;\n }\n return SyncPromise.resolve(event);\n }\n}\n","export const SDK_NAME = 'sentry.javascript.browser';\nexport const SDK_VERSION = '5.15.5';\n","import { API, BaseClient, Scope } from '@sentry/core';\nimport { DsnLike, Event, EventHint } from '@sentry/types';\nimport { getGlobalObject, logger } from '@sentry/utils';\n\nimport { BrowserBackend, BrowserOptions } from './backend';\nimport { SDK_NAME, SDK_VERSION } from './version';\n\n/**\n * All properties the report dialog supports\n */\nexport interface ReportDialogOptions {\n [key: string]: any;\n eventId?: string;\n dsn?: DsnLike;\n user?: {\n email?: string;\n name?: string;\n };\n lang?: string;\n title?: string;\n subtitle?: string;\n subtitle2?: string;\n labelName?: string;\n labelEmail?: string;\n labelComments?: string;\n labelClose?: string;\n labelSubmit?: string;\n errorGeneric?: string;\n errorFormEntry?: string;\n successMessage?: string;\n /** Callback after reportDialog showed up */\n onLoad?(): void;\n}\n\n/**\n * The Sentry Browser SDK Client.\n *\n * @see BrowserOptions for documentation on configuration options.\n * @see SentryClient for usage documentation.\n */\nexport class BrowserClient extends BaseClient {\n /**\n * Creates a new Browser SDK instance.\n *\n * @param options Configuration options for this SDK.\n */\n public constructor(options: BrowserOptions = {}) {\n super(BrowserBackend, options);\n }\n\n /**\n * @inheritDoc\n */\n protected _prepareEvent(event: Event, scope?: Scope, hint?: EventHint): PromiseLike {\n event.platform = event.platform || 'javascript';\n event.sdk = {\n ...event.sdk,\n name: SDK_NAME,\n packages: [\n ...((event.sdk && event.sdk.packages) || []),\n {\n name: 'npm:@sentry/browser',\n version: SDK_VERSION,\n },\n ],\n version: SDK_VERSION,\n };\n\n return super._prepareEvent(event, scope, hint);\n }\n\n /**\n * Show a report dialog to the user to send feedback to a specific event.\n *\n * @param options Set individual options for the dialog\n */\n public showReportDialog(options: ReportDialogOptions = {}): void {\n // doesn't work without a document (React Native)\n const document = getGlobalObject().document;\n if (!document) {\n return;\n }\n\n if (!this._isEnabled()) {\n logger.error('Trying to call showReportDialog with Sentry Client is disabled');\n return;\n }\n\n const dsn = options.dsn || this.getDsn();\n\n if (!options.eventId) {\n logger.error('Missing `eventId` option in showReportDialog call');\n return;\n }\n\n if (!dsn) {\n logger.error('Missing `Dsn` option in showReportDialog call');\n return;\n }\n\n const script = document.createElement('script');\n script.async = true;\n script.src = new API(dsn).getReportDialogEndpoint(options);\n\n if (options.onLoad) {\n script.onload = options.onLoad;\n }\n\n (document.head || document.body).appendChild(script);\n }\n}\n","import { addGlobalEventProcessor, getCurrentHub } from '@sentry/hub';\nimport { Event, Integration } from '@sentry/types';\nimport { getEventDescription, isMatchingPattern, logger } from '@sentry/utils';\n\n// \"Script error.\" is hard coded into browsers for errors that it can't read.\n// this is the result of a script being pulled in from an external domain and CORS.\nconst DEFAULT_IGNORE_ERRORS = [/^Script error\\.?$/, /^Javascript error: Script error\\.? on line 0$/];\n\n/** JSDoc */\ninterface InboundFiltersOptions {\n blacklistUrls?: Array;\n ignoreErrors?: Array;\n ignoreInternal?: boolean;\n whitelistUrls?: Array;\n}\n\n/** Inbound filters configurable by the user */\nexport class InboundFilters implements Integration {\n /**\n * @inheritDoc\n */\n public name: string = InboundFilters.id;\n /**\n * @inheritDoc\n */\n public static id: string = 'InboundFilters';\n\n public constructor(private readonly _options: InboundFiltersOptions = {}) {}\n\n /**\n * @inheritDoc\n */\n public setupOnce(): void {\n addGlobalEventProcessor((event: Event) => {\n const hub = getCurrentHub();\n if (!hub) {\n return event;\n }\n const self = hub.getIntegration(InboundFilters);\n if (self) {\n const client = hub.getClient();\n const clientOptions = client ? client.getOptions() : {};\n const options = self._mergeOptions(clientOptions);\n if (self._shouldDropEvent(event, options)) {\n return null;\n }\n }\n return event;\n });\n }\n\n /** JSDoc */\n private _shouldDropEvent(event: Event, options: InboundFiltersOptions): boolean {\n if (this._isSentryError(event, options)) {\n logger.warn(`Event dropped due to being internal Sentry Error.\\nEvent: ${getEventDescription(event)}`);\n return true;\n }\n if (this._isIgnoredError(event, options)) {\n logger.warn(\n `Event dropped due to being matched by \\`ignoreErrors\\` option.\\nEvent: ${getEventDescription(event)}`,\n );\n return true;\n }\n if (this._isBlacklistedUrl(event, options)) {\n logger.warn(\n `Event dropped due to being matched by \\`blacklistUrls\\` option.\\nEvent: ${getEventDescription(\n event,\n )}.\\nUrl: ${this._getEventFilterUrl(event)}`,\n );\n return true;\n }\n if (!this._isWhitelistedUrl(event, options)) {\n logger.warn(\n `Event dropped due to not being matched by \\`whitelistUrls\\` option.\\nEvent: ${getEventDescription(\n event,\n )}.\\nUrl: ${this._getEventFilterUrl(event)}`,\n );\n return true;\n }\n return false;\n }\n\n /** JSDoc */\n private _isSentryError(event: Event, options: InboundFiltersOptions = {}): boolean {\n if (!options.ignoreInternal) {\n return false;\n }\n\n try {\n return (\n (event &&\n event.exception &&\n event.exception.values &&\n event.exception.values[0] &&\n event.exception.values[0].type === 'SentryError') ||\n false\n );\n } catch (_oO) {\n return false;\n }\n }\n\n /** JSDoc */\n private _isIgnoredError(event: Event, options: InboundFiltersOptions = {}): boolean {\n if (!options.ignoreErrors || !options.ignoreErrors.length) {\n return false;\n }\n\n return this._getPossibleEventMessages(event).some(message =>\n // Not sure why TypeScript complains here...\n (options.ignoreErrors as Array).some(pattern => isMatchingPattern(message, pattern)),\n );\n }\n\n /** JSDoc */\n private _isBlacklistedUrl(event: Event, options: InboundFiltersOptions = {}): boolean {\n // TODO: Use Glob instead?\n if (!options.blacklistUrls || !options.blacklistUrls.length) {\n return false;\n }\n const url = this._getEventFilterUrl(event);\n return !url ? false : options.blacklistUrls.some(pattern => isMatchingPattern(url, pattern));\n }\n\n /** JSDoc */\n private _isWhitelistedUrl(event: Event, options: InboundFiltersOptions = {}): boolean {\n // TODO: Use Glob instead?\n if (!options.whitelistUrls || !options.whitelistUrls.length) {\n return true;\n }\n const url = this._getEventFilterUrl(event);\n return !url ? true : options.whitelistUrls.some(pattern => isMatchingPattern(url, pattern));\n }\n\n /** JSDoc */\n private _mergeOptions(clientOptions: InboundFiltersOptions = {}): InboundFiltersOptions {\n return {\n blacklistUrls: [...(this._options.blacklistUrls || []), ...(clientOptions.blacklistUrls || [])],\n ignoreErrors: [\n ...(this._options.ignoreErrors || []),\n ...(clientOptions.ignoreErrors || []),\n ...DEFAULT_IGNORE_ERRORS,\n ],\n ignoreInternal: typeof this._options.ignoreInternal !== 'undefined' ? this._options.ignoreInternal : true,\n whitelistUrls: [...(this._options.whitelistUrls || []), ...(clientOptions.whitelistUrls || [])],\n };\n }\n\n /** JSDoc */\n private _getPossibleEventMessages(event: Event): string[] {\n if (event.message) {\n return [event.message];\n }\n if (event.exception) {\n try {\n const { type = '', value = '' } = (event.exception.values && event.exception.values[0]) || {};\n return [`${value}`, `${type}: ${value}`];\n } catch (oO) {\n logger.error(`Cannot extract message for event ${getEventDescription(event)}`);\n return [];\n }\n }\n return [];\n }\n\n /** JSDoc */\n private _getEventFilterUrl(event: Event): string | null {\n try {\n if (event.stacktrace) {\n const frames = event.stacktrace.frames;\n return (frames && frames[frames.length - 1].filename) || null;\n }\n if (event.exception) {\n const frames =\n event.exception.values && event.exception.values[0].stacktrace && event.exception.values[0].stacktrace.frames;\n return (frames && frames[frames.length - 1].filename) || null;\n }\n return null;\n } catch (oO) {\n logger.error(`Cannot extract url for event ${getEventDescription(event)}`);\n return null;\n }\n }\n}\n","import { Integration, WrappedFunction } from '@sentry/types';\nimport { fill, getFunctionName, getGlobalObject } from '@sentry/utils';\n\nimport { wrap } from '../helpers';\n\ntype XMLHttpRequestProp = 'onload' | 'onerror' | 'onprogress' | 'onreadystatechange';\n\n/** Wrap timer functions and event targets to catch errors and provide better meta data */\nexport class TryCatch implements Integration {\n /** JSDoc */\n private _ignoreOnError: number = 0;\n\n /**\n * @inheritDoc\n */\n public name: string = TryCatch.id;\n\n /**\n * @inheritDoc\n */\n public static id: string = 'TryCatch';\n\n /** JSDoc */\n private _wrapTimeFunction(original: () => void): () => number {\n return function(this: any, ...args: any[]): number {\n const originalCallback = args[0];\n args[0] = wrap(originalCallback, {\n mechanism: {\n data: { function: getFunctionName(original) },\n handled: true,\n type: 'instrument',\n },\n });\n return original.apply(this, args);\n };\n }\n\n /** JSDoc */\n private _wrapRAF(original: any): (callback: () => void) => any {\n return function(this: any, callback: () => void): () => void {\n return original(\n wrap(callback, {\n mechanism: {\n data: {\n function: 'requestAnimationFrame',\n handler: getFunctionName(original),\n },\n handled: true,\n type: 'instrument',\n },\n }),\n );\n };\n }\n\n /** JSDoc */\n private _wrapEventTarget(target: string): void {\n const global = getGlobalObject() as { [key: string]: any };\n const proto = global[target] && global[target].prototype;\n\n if (!proto || !proto.hasOwnProperty || !proto.hasOwnProperty('addEventListener')) {\n return;\n }\n\n fill(proto, 'addEventListener', function(\n original: () => void,\n ): (eventName: string, fn: EventListenerObject, options?: boolean | AddEventListenerOptions) => void {\n return function(\n this: any,\n eventName: string,\n fn: EventListenerObject,\n options?: boolean | AddEventListenerOptions,\n ): (eventName: string, fn: EventListenerObject, capture?: boolean, secure?: boolean) => void {\n try {\n // tslint:disable-next-line:no-unbound-method strict-type-predicates\n if (typeof fn.handleEvent === 'function') {\n fn.handleEvent = wrap(fn.handleEvent.bind(fn), {\n mechanism: {\n data: {\n function: 'handleEvent',\n handler: getFunctionName(fn),\n target,\n },\n handled: true,\n type: 'instrument',\n },\n });\n }\n } catch (err) {\n // can sometimes get 'Permission denied to access property \"handle Event'\n }\n\n return original.call(\n this,\n eventName,\n wrap((fn as any) as WrappedFunction, {\n mechanism: {\n data: {\n function: 'addEventListener',\n handler: getFunctionName(fn),\n target,\n },\n handled: true,\n type: 'instrument',\n },\n }),\n options,\n );\n };\n });\n\n fill(proto, 'removeEventListener', function(\n original: () => void,\n ): (this: any, eventName: string, fn: EventListenerObject, options?: boolean | EventListenerOptions) => () => void {\n return function(\n this: any,\n eventName: string,\n fn: EventListenerObject,\n options?: boolean | EventListenerOptions,\n ): () => void {\n let callback = (fn as any) as WrappedFunction;\n try {\n callback = callback && (callback.__sentry_wrapped__ || callback);\n } catch (e) {\n // ignore, accessing __sentry_wrapped__ will throw in some Selenium environments\n }\n return original.call(this, eventName, callback, options);\n };\n });\n }\n\n /** JSDoc */\n private _wrapXHR(originalSend: () => void): () => void {\n return function(this: XMLHttpRequest, ...args: any[]): void {\n const xhr = this; // tslint:disable-line:no-this-assignment\n const xmlHttpRequestProps: XMLHttpRequestProp[] = ['onload', 'onerror', 'onprogress', 'onreadystatechange'];\n\n xmlHttpRequestProps.forEach(prop => {\n if (prop in xhr && 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Steffo"},"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa tutte le formule in latex si sono rotteeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee"),n(a.a,null,n(o.a,null,l(t||(t=r` + # Algoritmi e Strutture Dati + + Docente: [**Manuela Montangero**](mailto:manuela.montangero@unimore.it) + + Crediti: **9 CFU** (72 ore di lezione) + + Orario di ricevimento: **Giovedì dalle 14:30 alle 16:30** + _Mandare una mail prima, altrimenti potrebbe andarsene_ + + + #### Regole particolari per le email + + - Oggetto "ASD" + - Mail **firmata** con **nome e cognome** + - Mail spedita dall'**account Unimore** + + ### Materiale + + Libri: + - **Introduzione agli Algoritmi e Strutture Dati** di _T.H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein_ + + **[Dolly (FIM)](https://dolly.fim.unimore.it/2018/course/view.php?id=26)** + + ### Tutorato + + Tutor: [**Gianluca d'Addese**](mailto:tutoratoalgoritmi@gmail.com) + + Cosa: **Esercizi sugli argomenti visti a lezione** e **preparatori all'esame** + + Quando: **Mercoledì dalle 09:00 alle 11:00**...? + + ### Esame + + Per iscriversi all'esame, bisogna aver passato: + + - Analisi matematica (propedeutica) + - Programmazione I + + Formato: + + - Prima prova scritta + - Risolvere problemi con algoritmi proposti a lezione + - E' un test sulla preparazione + - Dura 1h30m + - Non si può usare nessun tipo di materiale + - Seconda prova scritta + - Proponi soluzioni per nuovi problemi non studiati a lezione + - Domande teoriche sugli argomenti studiati + - Dura 2h + - E' il giorno dopo la prima prova + - Si può utilizzare qualsiasi materiale, ma non deve permettere di comunicare + - Orale facoltativo + - Solo per chi supera entrambi gli scritti + - Domande su quello che abbiamo visto a lezione ("perchè gli algoritmi funzionano?") + - Informare via email entro 3 giorni dalla pubblicazione degli esiti della seconda prova + - L'orale potrebbe migliorare o peggiorare il voto (anche "molto") + + **Attenzione:** Vengono verbalizzati anche i voti insufficienti; ricordarsi di rifiutarli! + + Ci sono i seguenti appelli: + + - 3 appelli tra Giugno e Luglio + - 1 appello a Settembre + - 2 appelli a Gennaio e Febbraio + + Vale il salto di appello se: + + - Uno studente regolarmente iscritto **non si presenta** all'appello e non ha avvisato via email almeno il giorno prima. + - Uno studente ha riportato una **grave insufficienza** in uno dei due scritti, e l'appello successivo è nella stessa sessione + + + ### Note + + Il corso è ben collegato con quello di Programmazione 2. + + Dormire non fa bene! + `)))),n(a.a,null,n(o.a,null,"\n # Il nome del corso\n\n ## Cosa sono gli algoritmi?\n\n Gli algoritmi sono modi sistematici per risolvere problemi.\n\n Sono fondamentali per sviluppare software, in quanto i computer sono eccellenti esecutori di algoritmi.\n\n ## Come si sviluppa un algoritmo?\n\n Innanzitutto, bisogna conoscere gli _input_ e gli _output_ del problema, rispettivamente i dati di partenza e i dati di arrivo di esso; si ha quindi una fase di **ricerca**.\n\n Poi, si deve trovare un procedimento che ci faccia risolvere il nostro problema: è quello che faremo in questa materia!\n\n Infine, bisogna scrivere la soluzione in un modo che possa essere eseguita da un computer: questa è la **programmazione**.\n\n ## Che tipo di problemi possiamo risolvere?\n\n Un algoritmo risolve problemi di tipo generale, non ci interessa sapere _il risultato di 123+456_, ma vogliamo sapere _il risultato di x+y_, dove x e y sono due numeri naturali qualsiasi.\n\n Un problema può essere quindi considerato circa come una **funzione matematica**, che connette ogni input a un output corrispondente.\n\n ## Che caratteristiche ha un algoritmo?\n\n Per prima cosa, ripetendo l'algoritmo più volte con lo stesso ingresso deve dare sempre la stessa uscita come **risultato**, finendo in un **tempo finito**.\n\n Deve essere **ben ordinato**: cambiando l'ordine in cui vengono effettuate le operazioni, è probabile che anche il risultato cambi!\n\n Le sue istruzioni devono essere **non ambigue**, cioè che non possano essere interpretate in più modi, e **effettivamente realizzabili**, cioè realizzabili con l'esecutore che vogliamo usare per eseguire l'algoritmo.\n\n ## Esistono algoritmi equivalenti?\n\n **Sì!** Possono esserci due algoritmi che dati gli stessi input, hanno gli stessi output, e quindi risolvono lo stesso problema.\n\n In compenso, possono avere un numero di operazioni diverse, e quindi essere **uno più veloce** (da eseguire) dell'altro.\n\n ## Come si verifica la correttezza di un algoritmo?\n\n L'algoritmo deve essere **valido per tutti gli input**, anche se questi sono infiniti.\n\n Possiamo effettuare prove matematiche per verificarne la correttezza; il **principio di induzione** è dunque una dei teoremi fondamentali dell'algoritmica.\n\n Possiamo però verificare la _non correttezza_ di un algoritmo trovando un singolo controesempio.\n ")),n(a.a,null,n(o.a,null,"\n # Efficienza degli algoritmi\n \n Un buon algoritmo deve essere **efficiente**, ovvero deve usare il minimo delle risorse necessarie, come _usare il minimo di tempo possibile_.\n \n ## Come misuriamo il tempo necessario?\n \n Cerchiamo di astrarre il tempo dal particolare esecutore, e andiamo a contare il numero di operazioni elementari richieste per eseguire il nostro algoritmo nel caso peggiore.\n \n Un algoritmo efficiente, infatti, all'aumentare dei dati in ingresso, diventerà sempre più veloce rispetto a uno non efficiente, anche su computer più lenti!\n \n > Il [Bubble Sort](https://en.wikipedia.org/wiki/Bubble_sort) è sempre più lento di un [Tree Sort](https://en.wikipedia.org/wiki/Tree_sort), anche su computer più lenti, perchè, dovendo ordinare liste sempre più lunghe, prima o poi si raggiunge un punto in cui il primo è più veloce (in termini di tempo) dell'altro.\n \n Dobbiamo andare a vedere, quindi, _il numero di operazioni richieste per ottenere il risultato nel caso peggiore_.\n \n Consideriamo operazioni sia operazioni aritmetiche sia operazioni logiche, e diciamo che ciascuna costa 1.\n \n > L'[algoritmo di Euclide](https://it.wikipedia.org/wiki/Algoritmo_di_Euclide) per l'MCD costa `3` per ogni iterazione (un giro del ciclo `while`). Diciamo, allora, che costa `3n`, dove `n` è il numero più alto dei due, perchè nel caso peggiore (uno dei due numeri è 1) l'algoritmo compie `n` iterazioni.\n \n ## Altri parametri ottimizzabili\n \n È possibile che alcuni algoritmi per vari motivi cerchino di ottimizzare altri parametri diversi dal tempo, come ad esempio _la dimensione dell'input_ o la _memoria utilizzata_. \n \n > Generalmente, questo viene fatto sui dispositivi embedded, con memoria molto limitata.\n \n ### Criteri di costo di memoria\n \n Ci sono vari criteri con cui stimare la memoria richiesta da un dato: è possibile che il costo risultante vari in base al criterio scelto!\n \n #### Criterio di costo logaritmico\n \n Un dato costa il numero di bit necessari per rappresentarlo.\n \n > Un int che contiene il numero `n` costa `log_2(n)`. \n > Un array di `[n]` numeri tutti uguali costa `n log_2(n)`.\n \n #### Criterio di costo uniforme\n \n Un dato costa il numero di elementi che lo costituiscono.\n \n > Un int che contiene il numero `n` costa `1`. \n > Un array di `[n]` numeri costa `n`. \n > Una matrice `[m][n]` costa `m*n`.\n ")),n(a.a,null,n(o.a,null,"\n # Modelli algoritmici\n\n Per progettare un algoritmo, abbiamo bisogno di sapere le proprietà del nostro esecutore, ovvero il suo _modello algoritmico_.\n \n > Ad esempio, dobbiamo sapere quali istruzioni è in grado di eseguire, e quanto tempo queste istruzioni richiedono.\n \n ## Il modello RAM\n \n Il modello in uso su tutti i computer attuali è il _modello RAM_: \n \n - In ogni cella di memoria può essere archiviato un dato.\n - Il **tempo di accesso** alle celle è **costante** per tutte le celle.\n - La **memoria** principale è **infinita**.\n - Si ha **un solo processore**.\n ")),n(a.a,null,n(o.a,null,'\n # Notazione asintotica\n \n La _notazione asintotica_ è un sistema per **stimare** velocemente il costo di un algoritmo complesso.\n \n Ci permette di **confrontare velocemente il caso peggiore** degli algoritmi.\n \n In particolare, consideriamo il _rapporto tra il numero di operazioni nel caso peggiore e la dimensione dell\'input_.\n \n ## Limiti\n \n Possiamo dare a questa stima dei limiti, superiore e inferiore, che rappresenteranno rispettivamente un costo che non sarà **mai superato** e un costo che verrà **sempre superato**.\n \n Chiameremo questi limiti _upper bound_ e _lower bound_; la loro combinazione darà un _tight bound_.\n \n L\'obiettivo sarà di _ricavare i bound più precisi possibile_ per un dato algoritmo, ovvero l\'**upper bound più basso** e il **lower bound più alto**.\n \n ### O grande\n \n > "O grande" \n > O di g(n)\n > "big-O"\n \n Per rappresentare la stima, useremo una notazione particolare, detta _O grande_, con la seguente proprietà:\n - Date due funzioni `f(n) : N -> R` e `g(n) : N -> R`, diremo che `f(n) ∈ O(g(n))` se e soltanto se `∃ c > 0, n ≥ n_0` tali che `∀ n ≥ 0, f(n) ≤ c * g(n)`\n \n Quando una funzione è O grande di un altra, significa che **asintoticamente, la funzione in O grande è sempre maggiore di quella che sta venendo stimata**.\n \n > **Ipotesi** \n > - `f(n) = 2n² + 3n + 6` \n > - `g(n) = n²`\n >\n > **Tesi** \n > - `f(n) ∈ O(n²)`.\n >\n > **Svolgimento** \n > Scrivo una disequazione, lasciando intatto il termine noto: \n > 1. `2n² + 3n + 6 ≤ 2n² + 3n² + 6` \n > 2. `n² ≤ 2n² + 3n² + n² = 6n²` per `n ≥ 3`\n >\n > Sappiamo, allora, che `2n² + 3n + 6 ≤ 6n²`.\n \n #### Espressioni di O grande\n \n Questa tabella rappresenta le espressioni di O grande più comunemente utilizzate, in ordine **dalla più forte alla più debole**.\n \n > Più forte significa che, per ogni riga della tabella, tutte le righe sottostanti sono contenute nell\'espressione.\n >\n > Ad esempio, `O(n) ∈ O(1)`.\n \n | Espressione O() | Nome |\n |-----------------|------|\n | `O(1)` | Costante |\n | `O(log log n)` | loglog |\n | `O(log n)` | Logaritmica |\n | `Ω(n^{1/c})` (per c ≥ 1) | Sublineare |\n | `O(n)` | Lineare |\n | `O(n log n)` | nlogn |\n | `O(n²)` | Quadratica |\n | `O(n³)` | Cubica |\n | `O(n^k)` (per k ≥ 1) | Polinomiale |\n | `O(a^n)` (per a ≥ 1) | Esponenziale |\n | `O(n!)` | Fattoriale |\n \n #### Polinomiale\n \n Molto spesso, noteremo che il tempo richiesto da una funzione è O grande di un polinomio di grado K, ovvero `f(n) ∈ O(n^k)`.\n \n Notiamo che in questi casi, possiamo semplificare l\'O grande al grado massimo del polinomio.\n \n > Ad esempio, `O(n² + n + 1) = O(n²)`.\n \n ##### Dimostrazione\n \n Per `n > 0 \\and 0 ≤ i ≤ k`: \n ![LaTeX](https://latex.codecogs.com/png.latex?a_k%20n^k%20+%20a_{k-1}%20n^{k-1}%20+%20%E2%80%A6%20+%20a_1%20n%20+%20a_0%20%E2%89%A4%20|a_k|%20n^k%20+%20|a_{k-1}|%20n^k%20+%20%E2%80%A6%20+%20|a_1|%20n^k%20+%20|a_0|%20n^k%20=%20(|a_k|%20+%20|a_{k-1}|%20+%20%E2%80%A6%20+%20|a_1|%20+%20|a_0|)%20n^k)\n \n #### Proprietà di O grande\n \n 1. `f(n) ∈ O(g(n)) -> ∀ a > 0, a * f(n) ∈ O(g(n))`.\n 2. `f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) + d(n) ∈ O(g(n) + h(n)) -> O(max\\{g(n), h(n)\\})`\n 3. `f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) * d(n) ∈ O(g(n) * h(n))`\n \n In pratica, se una funzione è la _somma di più termini_, basta guardare l\'**`O()` più grande** tra tutti i suoi termini; se invece una funzione è un _prodotto di più termini_, si possono **omettere le costanti**, e l\'`O()` finale sarà dato dal **prodotto degli `O()`** dei termini.\n \n ## Lower bound\n \n Possiamo anche stimare il _lower bound_, il limite inferiore: il **numero minimo di operazioni** che viene effettuato **nel caso migliore** con la **massima dimensione dell\'ingresso**.\n \n ### Ω()\n \n > "Omega" \n > Omega di g(n)\n > "big-Omega"\n \n Esiste un equivalente di O grande per il lower bound: è detto _Omega grande_, o più semplicemente _Omega_, e funziona nello stesso identico modo, solo... al contrario.\n \n Diremo che `f(n) ∈ Ω(g(n))` se e solo se `∃ c > 0, n_0 ≥ 0 : ∀ n ≥ n_0 f(n) ≥ c * g(n)`.\n \n #### Espressioni di Ω()\n \n Anche in questa tabella le espressioni sono **dalla più forte alla più debole**.\n \n | Espressione Ω() | Nome |\n |-----------------|------|\n | `Ω(n!)` | Fattoriale |\n | `Ω(a^n)` (per a ≥ 1) | Esponenziale |\n | `Ω(n^k)` (per k ≥ 1) | Polinomiale |\n | `Ω(n³)` | Cubica |\n | `Ω(n²)` | Quadratica |\n | `Ω(n log n)` | nlogn |\n | `Ω(n)` | Lineare |\n | `Ω(n^{1/c})` (per c ≥ 1) | Sublineare |\n | `Ω(log n)` | Logaritmica |\n | `Ω(log log n)` | loglog |\n | `Ω(1)` | Costante |\n \n ## Tight bound\n \n Quando **upper e lower bound coincidono**, allora otteniamo un _tight bound_.\n \n ### θ()\n \n > "Theta" \n > Theta di g(n)\n > "big-Theta"\n \n Anche per il tight bound abbiamo una notazione equivalente a O grande e Omega grande: _Theta grande_!\n \n Diciamo che `f(n) ∈ θ(g(n))` se e solo se `∃ c_1, c_2 > 0, n_0 ≥ 0 : ∀ n ≥ n_0, c_1 * g(n) ≤ f(n) ≤ c_2 * g(n)`.\n \n Ha la particolarità che non valgono tutte le proprietà degli altri due: va usata quindi con cautela!\n \n ## Risorse utili\n \n [khanacademy.org](https://www.khanacademy.org/computing/computer-science/algorithms/asymptotic-notation/a/big-big-theta-notation)\n ')),n(a.a,null,n(o.a,null,"\n # Problemi algoritmici\n \n Un _problema algoritmico_ è un problema matematico che si vuole provare a risolvere con un algoritmo.\n \n > Dati 10 numeri, voglio sapere se sono in ordine crescente oppure no.\n \n ## Caterigorizzazione\n \n I problemi algoritmici si dividono in tre categorie: problemi _trattabili_, problemi _intrattabili_ e problemi _irrisolvibili_.\n \n ### Problema trattabile\n \n Perchè un problema algoritmico sia _trattabile_, deve avere **almeno un algoritmo con upper bound polinomiale**.\n \n > Questo significa che il tempo impiegato da un computer per risolvere il problema rimane ragionevole, e che quindi può essere utilizzato in maniera efficiente.\n \n La trattabilità è un campo ancora parecchio aperto: esistono anche tanti problemi di cui non si è ancora dimostrata la trattabilità o intrattabilità.\n \n > La [fattorizzazione](https://it.wikipedia.org/wiki/Fattorizzazione) è uno di questi problemi: l'assenza di una dimostrazione è ciò che la rende uno dei pilastri della sicurezza informatica moderna.\n \n ### Problema intrattabile\n \n Se **un problema non ha nessun algoritmo con upper bound polinomiale**, allora si dice che è **intrattabile**.\n \n ### Problema irrisolvibile\n \n Se **non esistono algoritmi per risolvere un problema**, allora questo si dice **irrisolvibile**.\n \n > [Dato un algoritmo con certi input, riusciamo a capire con un algoritmo se la sua esecuzione termina o no?](https://en.wikipedia.org/wiki/Halting_problem)\n \n ### Upper e lower bound di problemi\n \n Si può anche trovare un _upper bound_ e un _lower bound_ per un problema, ma bisogna generalizzare di più.\n \n L'**upper bound di un problema** è il minimo upper bound di tutti gli algoritmi che lo risolvono; deve esistere almeno un algoritmo che lo risolva che abbia lo stesso _upper bound_. E' praticamente il tempo migliore per risolvere il problema dato.\n \n Il **lower bound di un problema** è il minimo lower bound di tutti gli algoritmi che lo risolvono; non deve esistere nemmeno un algoritmo che abbia un lower bound migliore. E' il numero assolutamente minimo di operazioni richieste, non si può fare meglio di così.\n \n In particolare, abbiamo che l'_upper bound di un algoritmo_ -> l'_upper bound del suo problema_, \n e il _lower bound di un problema_ -> il _lower bound di un suo algoritmo_.\n \n Generalmente, il _lower bound di un problema_ è una rappresentazione abbastanza accurata della sua difficoltà.\n ")),n(a.a,null,n(o.a,null,"\n # Ricerca binaria\n \n Non credo di aver bisogno di studiare la ricerca binaria, quindi non ho preso appunti a riguardo.\n \n Se non siete me, e state cercando informazioni a riguardo, andate a vedere su Wikipedia!\n ")),n(a.a,null,n(o.a,null,"\n # Divide et impera\n \n Un modo efficace per risolvere un problema è di usare il metodo _divide et impera (et combina)_.\n \n - _Divide_: Divido il problema in **tanti sottoproblemi**.\n - _Impera_: **Risolvo indipendentemente dal resto** ciascuno dei sottoproblemi.\n - _Combina_: **Combino** i risultati dei sottoproblemi per **risolvere il problema principale**.\n \n ## Ricorsione\n \n Un algoritmo (o funzione) si dice _ricorsivo_ quando durante l'esecuzione **richiama sè stesso**.\n \n Dato che tutti gli algoritmi devono avere termine entro un tempo finito, se scriviamo una funzione ricorsiva è fondamentale finire con un **caso base**, che non chiami ulteriormente la ricorsione.\n \n Se esiste una funzione ricorsiva, allora esiste _sempre_ una _funzione iterativa_ che darà lo stesso risultato.\n \n > Sul pratico, una funzione ricorsiva tipicamente è **più costosa** del suo equivalente iterativo: se possibile, quindi, la ricorsione andrebbe evitata.\n \n #### Pseudocodice di esempio\n \n ```python\n def fattoriale(n):\n # Caso base; la ricorsione finisce e dà un risultato fisso\n if n <= 1:\n return 1\n # Caso ricorsivo; la funzione restituisce il risultato di sè stessa (ma con parametri diversi)\n else:\n return n * fattoriale(n - 1)\n ```\n ")),n(a.a,null,n(o.a,null,"\n # Master Theorem\n \n Il _Master Theorem_ è uno dei teoremi più importanti dell'algoritmica.\n \n Esso permette di **calcolare l'upper bound di un algoritmo ricorsivo** in modo piuttosto semplice.\n \n ## Ipotesi\n \n Dato un algoritmo:\n - Con uno o più casi base\n - Che richiama la funzione ricorsiva un numero n di volte\n \n ## Tesi\n \n Allora, il suo upper bound avrà la formula:\n \n ![](https://quicklatex.com/cache3/89/ql_08d29a7e55d561a900570bc83b93ff89_l3.png)\n ")),n(a.a,null,n(o.a,null,"\n # Caso particolare del Master Theorem\n \n ## Ipotesi\n \n Se: \n ![](https://quicklatex.com/cache3/57/ql_e34dc27b42831d3c3ff671b0f3861257_l3.png)\n \n Ovvero, se la dimensione dell'input viene divisa ad ogni ciclo da una costante b, è polinomiale e il caso base è costante...\n \n ## Tesi\n \n Allora: \n ![](https://quicklatex.com/cache3/ca/ql_26e3557a6ca2d6ac4b8481e7c5263fca_l3.png)\n \n > In pratica, se il costo dominante è quello della parte \"fissa\" dell'algoritmo, esso sarà `O(n^d)`, mentre se il costo dominante è quello delle chiamate ricorsive, esso sarà `O(n^{log_b e})`. \n > Se nessuno dei due è dominante... si dividono circa in parti uguali, creando un costo di `O(n^d log n)`.\n ")),n(a.a,null,n(o.a,null,"\n # Ordinamento\n \n Un problema molto frequente nell'informatica consiste nell'**ordinare efficientemente grandi quantità di elementi**.\n \n Esistono [tantissimi](https://it.wikipedia.org/wiki/Algoritmo_di_ordinamento) algoritmi per effettuare l'ordinamento. \n L'**efficienza** di ciascuno **varia** di caso in caso: alcuni sono estremamente efficienti se quasi tutti i numeri sono già nell'ordine giusto; altri, invece, potrebbero impiegare tantissimo tempo.\n \n In termini matematici, abbiamo:\n \n - **Input:** A[n]\n - **Output:** B, ∀ i < n, A[i] ≤ A[i+1]\n \n ## Ordinamento tramite confronto\n \n L'ordinamento \"tradizionale\" è detto _ordinamento tramite confronto_: funziona sempre, e **non ha altri modi di ottenere informazioni** se non con l'operazione logica di confronto tra i dati.\n \n ### Limiti\n \n E' un problema risolto: è dimostrabile che il suo **lower bound** è **`Ω(n log n)`**; possiamo quindi dire che qualsiasi algoritmo di ordinamento è in `Ω(n log n)`, e se riusciamo a trovare un algoritmo di ordinamento in `O(n log n)` siamo riusciti a raggiungere il massimo dell'efficienza.\n \n #### Dimostrazione\n \n Consideriamo **tutte le possibili permutazioni** della sequenza da ordinare: sono `n!`.\n \n Per ogni confronto che effettuiamo, **riduciamo la quantità di permutazioni** correttamente ordinate; prima o poi, rimarrà **una sola possibilità**.\n \n **TODO, non trovo la spiegazione corretta!**\n \n ### Esempi\n \n Algoritmi che effettuano l'ordinamento tramite confronto sono:\n - _Bubble sort_\n - _Merge sort_\n - _Insertion sort_\n - _Quick sort_\n - _Heap sort_\n - E tanti, tanti altri!\n \n ## Ordinamento con altri mezzi\n \n Esistono algoritmi che ricavano informazioni in altri modi, diversi dal confronto.\n \n Essi possono avere un lower bound più basso di `O(n log n)`, però hanno spesso limitazioni sul loro utilizzo.\n \n ### Esempi\n \n - _Counting sort_, indicizza i valori da ordinare\n - _Radix sort_, guarda singolarmente le cifre dei valori\n - _Sleep sort_, sfrutta i thread e la funzione sleep per ordinare valori\n - E altri ancora!\n ")),n(a.a,null,n(o.a,null,"\n # Insertion sort\n \n L'_insertion sort_ è una soluzione **iterativa** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Considero la sequenza divisa in **due parti**: una parte **ordinata** e una parte **non ordinata**.\n \n Parto dal primo elemento della lista: è sempre ordinato con sè stesso. \n Poi, aggiungo uno alla volta i numeri della parte non ordinata a quella ordinata; prima trovo in quale posizione dovrò andare a mettere il numero, poi **faccio slittare tutti i numeri dopo quella posizione** avanti di 1, in modo da **creare lo spazio** in cui infine **inserirò** il numero.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n²)` | `Ω(n)` | - |\n \n Nel _caso migliore_ (**lista già ordinata**), il numero da inserire è già nella posizione giusta, quindi non devo effettuare altri confronti oltre il primo, rendendo il lower bound dell'algoritmo `Ω(n)`.\n \n Nel _caso peggiore_ (**lista nell'ordine inverso**), dobbiamo confrontare il numero da inserire con tutti gli altri nella parte ordinata: dobbiamo allora eseguire `1+2+3+4+5+… = \\frac{(n-1)(n)}{2}` confronti; ciò significa che l'upper bound è `O(n²)`!\n \n ## Pseudocodice\n \n ```python\n def insertion_sorted(lista):\n # Itero su tutti i numeri della lista, dal primo all'ultimo.\n for divisore_ord in range(len(lista)):\n # Partendo dalla posizione attuale, creo l'indice di divisione numeri ordinati maggiori e minori\n divisore_magg = divisore_ord\n # Faccio slittare avanti i numeri maggiori di quello che stiamo inserendo\n # Se l'indice divisore_magg raggiunge 0, vuol dire che tutti i numeri della lista sono maggiori del numero attuale \n while divisore_magg >= 0 and lista[divisore_magg-1] > lista[divisore_magg]:\n # Scambio la posizione dei due elementi con gli indici specificati\n # Funzione inventata \n lista[divisore_magg], lista[divisore_magg-1] = lista[divisore_magg-1], lista[divisore_magg]\n # Diminuisco il separatore di 1\n divisore_magg -= 1\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting)\n ")),n(a.a,null,n(o.a,null,"\n # Merge sort\n \n Il _merge sort_ è una soluzione **ricorsiva** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Per questo algoritmo, utilizziamo la tecnica del **divide et impera**.\n \n 1. _Divide_: Divido A in **due parti**.\n 2. _Impera_: Metto **separatamente in ordine** le parti.\n 3. _Unisci_: **Unisco** le due parti.\n \n Consideriamo come **caso base** della ricorsione una parte composta da un numero, che ovviamente è già ordinata con sè stessa.\n \n ### Merge\n \n Per **unire le due parti** usiamo una funzione detta `merge()`.\n \n Costruiamo una nuova sequenza uguale alla sequenza 1, ma **aggiungiamo alla fine un valore sentinella** sempre maggiore di tutti gli elementi contenuti.\n \n > ```\n > | 1 | 3 | 7 | 8 | ∞ |\n > ```\n \n Facciamo **la stessa cosa** per la sequenza due.\n \n > ```\n > | 2 | 4 | 5 | 6 | ∞ |\n > ```\n \n Prendo i primi numeri delle due sequenze e **metto il più piccolo nella sequenza iniziale**.\n \n > ```\n > | 1 | 2 | 3 | | | | | | \n > | | | 7 | 8 | ∞ | \n > | | 4 | 5 | 6 | ∞ | \n > ```\n \n **Continuo** finchè non ho messo tutti i numeri; **grazie alla sentinella non usciremo mai dalla sequenza**, in quanto essa è sempre maggiore di tutti gli altri numeri.\n \n > ```\n > | 1 | 2 | 3 | 4 | 5 | 6 | | | \n > | | | 7 | 8 | ∞ | \n > | | | | | ∞ |\n > ```\n \n Quando **rimangono solo le sentinelle** significa che abbiamo aggiunto tutti gli elementi, e quindi abbiamo finito.\n \n > ```\n > | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | \n > | | | | | ∞ | \n > | | | | | ∞ | \n > ```\n \n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n log n)` | `Ω(n log n)` | **`θ(n log n)`** |\n \n Il merge sort è un algoritmo ricorsivo con un **caso base in tempo costante** e che **richiama sè stesso 2 volte**.\n \n ```latex\n T(n) =\\\\\n \\\\\n Θ(1) \\qquad n=1\\\\\n 2 T(\\frac{n}{2}) + Θ(n) \\qquad n \\neq 1\n ```\n \n Applicando il **caso particolare del Master Theorem**, otteniamo:\n \n ```latex\n T(n) =\\\\\n \\\\\n Θ(1) \\qquad n=1\\\\\n Θ(n log n) \\qquad n \\neq 1\n ```\n \n ## Pseudocodice\n \n ```python\n def merge_sorted(part):\n # Caso base\n if len(part) == 1:\n return part\n # Divide\n middle = len(part) // 2\n part_a = part[:middle]\n part_b = part[middle:]\n # Impera\n sort_a = merge_sorted(part_a)\n sort_b = merge_sorted(part_b)\n # Combina\n return merge(sort_a, sort_b)\n ```\n \n ## Visualizzazione\n \n [hackerearth.com](https://www.hackerearth.com/practice/algorithms/sorting/merge-sort/visualize/)\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: visualizza solo la fase _Unisci_ del sort)\n ")),n(a.a,null,n(o.a,null,"\n # Quick sort\n \n Il _quick sort_ è un altro approccio **ricorsivo** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Anche qui, applichiamo il **divide et impera**.\n \n 1. _Divide_: Scelgo un **pivot** qualsiasi all'interno della lista. Metto alla sua **sinistra tutti i numeri minori** e alla sua **destra tutti i numeri maggiori**.\n 2. _Impera_: Eseguo un **quick sort su entrambe le sottoliste**.\n \n ### Esempi\n \n #### Iterazione con partizioni bilanciate\n \n Osserviamo come si formi una partizione con tre elementi e una con quattro. \n \n ```\n |¦ [2] 8 7 1 3 5 6 {4}\n 2 |¦ [8] 7 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 7 ¦ [1] 3 5 6 {4}\n 2 1 |7 8 ¦ [3] 5 6 {4}\n 2 1 3 |8 7 ¦ [5] 6 {4}\n 2 1 3 |8 7 5 ¦ [6] {4}\n 2 1 3 |8 7 5 6 ¦ [{4}]\n [2 1 3] {4} [8 5 6 7]\n ```\n \n #### Iterazione con partizioni sbilanciate\n \n Osserviamo come si formi una partizione con **zero elementi** e una con tre.\n \n ```\n |¦ [4] 7 3 {1}\n |4 ¦ [7] 3 {1}\n |4 7 |¦ [3] {1}\n |4 7 3 |¦ [{1}]\n [] {1} [4 7 3]\n ```\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n²)` | `Ω(n log n)` | - |\n \n Il costo della funzione è dato dalla somma del costo per **dividere in due partizioni** con il costo per realizzare il **Quick sort delle due sottopartizioni**\n \n Possiamo applicare allora il **Master Theorem generale**:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n T(q) + T(dim_lista - pivot - 1) + Θ(n) \\qquad per\\ n > 1\n ```\n \n ### Il caso migliore\n \n Se il pivot `q` è la **mediana della partizione** che stiamo ordinando, si vengono a creare due _sottopartizioni bilanciate_, e sostituendo otteniamo:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n 2 T(\\frac{n}{2}) + Θ(n) \\qquad per\\ n > 1\n ``` \n \n Possiamo allora applicare il **Master Theorem particolare**:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n Θ(n log n) \\qquad per\\ n > 1\n ```\n \n ### Il caso peggiore\n \n Se il pivot è uno degli **estremi dell'array**, si creano due _partizioni sbilanciate_: una delle due sottoliste è sempre vuota! \n Allora:\n \n ```latex\n T(n) = T(n-1) + Θ(n)\\\\\n = T(n-2) + Θ(n-1) + Θ(n)\\\\\n = T(n-3) + Θ(n-2) + Θ(n-1) + Θ(n)\\\\\n = …\n ∈ Θ(n^2)\n ```\n \n > \"Non date da mangiare sequenze ordinate al Quicksort, gli sono indigeste.\"\n \n ## Pseudocodice\n \n ```python\n def partition(partizione, inizio, fine):\n \"\"\"Dividi una partizione in due, usando l'ultimo elemento come pivot.\n \n Note utili:\n partizione[fine] è il pivot\n partizione[maggiori] è il primo numero dei maggiori\n partizione[non_iterati] è l'elemento su cui si sta iterando al momento\"\"\"\n # Crea il primo separatore (la | pipe nell'esempio)\n maggiori = inizio\n # Crea il secondo separatore (la ¦ broken pipe nell'esempio)\n non_iterati = inizio\n # Itera su ogni numero tra inizio e fine (escluso!)\n while non_iterati < fine:\n # Se l'elemento su cui stiamo iterando è minore del pivot\n if partizione[non_iterati] <= partizione[fine]:\n # Mettilo nell'insieme dei minori, scambiandolo con il primo numero dei maggiori e incrementando il primo separatore\n partizione[maggiori], partizione[non_iterati] = partizione[non_iterati], partizione[maggiori]\n maggiori += 1\n # Incrementa sempre il secondo separatore\n non_iterati += 1\n # Inserisci il pivot tra le due sottopartizioni create, \n partizione[fine], partizione[non_iterati] = partizione[non_iterati], partizione[fine]\n return maggiori\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: invece che prendere l'ultimo numero come pivot prende il primo, cambiando leggermente l'algoritmo.)\n \n ## Note per l'esame\n \n > La domanda che fa sempre è **\"Qual è la sequenza di pivot utilizzata?\"**\n \n > Elementi da soli _non_ vengono presi come pivot!\n ")),n(a.a,null,n(o.a,null,'\n # Counting sort\n\n Il _counting sort_ è un approccio diverso all\'ordinamento: **non usa il confronto**!\n \n ## Requisiti\n \n Il counting sort può essere utilizzato solo su **sequenze di numeri interi**, e solo se **siamo a conoscenza del minimo e del massimo** dei numeri contenuti nell\'array, ed essi non sono troppo distanti uno dall\'altro. \n (La memoria occupata dal counting sort aumenta linearmente con la differenza tra minimo e massimo!)\n \n Per semplicità, consideriamo il **minimo `0`**. \n L\'input allora sarà una sequenza di interi `A`, e il valore del **massimo `k`**, tale che `∀ n ∈ A, 0 \\leq n \\leq K`.\n \n ## Funzionamento\n \n Il counting sort **conta le ripetizioni** delle chiavi nella sequenza originale e in seguito **sovrascrive i valori** della sequenza con i valori ordinati ripetuti il numero di volte che sono stati individuati nella sequenza.\n \n > ```\n > 1 4 5 3 4 1 4 2 5 1\n > ```\n >\n > L\'`1` appare 3 volte, il `2` 1 volta, il `3` 1 volta, il `4` tre volte e il `5` due volte.\n >\n > La sequenza viene quindi così sovrascritta:\n > ```\n > 1 1 1 3 4 1 4 2 5 1 # Sovrascriviamo la sequenza con 1 ripetuto 3 volte\n > 1 1 1 2 3 4 4 4 5 1 # Sovrascriviamo la sequenza con 2, 3, 4 ripetuti rispettivamente 1 1 e 3 volte\n > 1 1 1 2 3 4 4 4 5 5 # Sovrascriviamo la sequenza con 5 ripetuto 2 volte: abbiamo finito!\n > ``` \n \n Esiste anche una **versione stabile** del counting sort che, invece che sovrascrivere, **sposta i valori**, mantenendo le informazioni aggiuntive nel caso invece che interi fossero altri tipi di dati.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(k + n)` | `Ω(k + n)` | **`θ(k + n)`** |\n \n L\'algoritmo è composto da quattro parti:\n - Ricerca del minimo e massimo (in `θ(n)`)\n - Inizializzazione dell\'indice (in `θ(k)`)\n - Conteggio dei numeri (in `θ(n)`)\n - Sovrascrittura dei numeri (in `θ(k + n)`)\n \n `2 + O(k) + O(n) + O(k + n) -> O(k + n)`\n \n Notiamo che `k` è costante, l\'algoritmo è `O(n)`, estremamente efficiente.\n \n ## Pseudocodice\n \n ```python\n def counting_sort(lista: typing.List[int]):\n """Ordina in-place una lista con il counting sort."""\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all\'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l\'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Sovrascrivo i numeri nella lista\n count = 0\n for pos, val in enumerate(indice):\n for _ in range(val):\n indice[count] = pos\n count += 1\n \n def stable_counting_sorted(lista: typing.List[int], k: int) -> typing.List[int]:\n """Ordina stabilmente una lista con il counting sort stabile, e restituiscila."""\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all\'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l\'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Faccio diventare l\'indice "il numero di numeri \\leq i"\n for i in range(len(indice)):\n if i == 0:\n continue\n indice[i] += indice[i-1]\n assert indice[-1] == dim\n # Creo una nuova lista, che sarà quella che verrà restituita\n nuova = [None for _ in range(dim)]\n # Inizio a posizionare i numeri, al contrario\n for i in range(0, dim, -1):\n nuova[indice[lista[i]]] = lista[i]\n indice[lista[i]] -= 1\n return nuova\n ```\n ')),n(a.a,null,n(o.a,null,"\n ## Introduzione alle Strutture Dati\n\n Una _struttura dati_ è un modo in cui si possono organizzare i dati di un programma.\n \n Si possono definire in due modi: **elementari** e **astratte**.\n \n ### Strutture dati elementari\n \n Le strutture _elementari_ dipendono strettamente dal modo in cui vengono memorizzati i dati.\n \n > **Array** e **liste** sono strutture dati elementari: sono definite dicendo come sono memorizzati i dati, rispettivamente, in celle contigue di memoria e da una serie di nodi con un valore e che puntano al successivo.\n \n ### Strutture dati astratte\n \n Le strutture _astratte_ sono separate dal modo in cui vengono memorizzati i dati, sono più ad alto livello, e si definiscono descrivendo le **proprietà** della struttura e i **metodi** che su di essa possono essere effettuate.\n \n > Una _classe_ in un qualsiasi linguaggio di programmazione è una struttura dati astratta.\n \n > Una _pila_ astratta:\n > - memorizza dati tutti dello stesso tipo\n > - `pop()`, estrae dalla pila l'ultimo valore inserito\n > - `push(val)`, aggiunge alla pila un valore\n > - `top()`, permette di vedere l'ultimo valore inserito nella pila\n > - `vuota()`, dice se la pila è vuota oppure no.\n ")),n(a.a,null,n(o.a,null,'\n # Array\n\n Un _array_ è sequenza di dati di **lunghezza conosciuta**, tutti dello **stesso tipo** e di una **dimensione fissa**, immagazzinata in **blocchi di memoria contigui**.\n \n ## Proprietà\n \n - E\' possibile accedere a tutti i blocchi di memoria conoscendo la loro **posizione relativa al primo** elemento.\n \n ## Metodi\n \n ```python\n class Array:\n def __init__(self, size, type=int): "Crea un array di dimensione size di elementi di tipo int."\n def __getitem__(self, index): "Restituisci il valore alla posizione index."\n def __setitem__(self, index, value): "Cambia il valore alla posizione index."\n ```\n \n ### Costo computazionale\n \n Tutte le operazioni su un array sono in **accesso immediato `O(1)`**!\n ')),n(a.a,null,n(o.a,null,'\n # Lista\n \n Una _lista_ è una sequenza di dati immagazzinata in **blocchi di memoria qualsiasi**.\n \n ## Proprietà\n \n Ogni dato ha un **riferimento** alla collocazione di memoria **successiva** (un puntatore): insieme, sono detti un _nodo_.\n \n E\' di **natura ricorsiva**: qualsiasi nodo di una lista può essere visto come inizio della lista con sè stesso e i suoi successivi.\n \n ## Metodi\n \n ```python\n class LinkedList:\n def __init__(self, value, next: typing.Optional[Node] = None):\n self.value = value\n self.next: typing.Optional[Node] = next\n \n def is_empty(self) -> bool: "Restituisce se la lista è vuota o no."\n def is_full(self) -> bool: "Restituisce se la lista è piena o no.\n def append(self, value): "Aggiunge un nuovo elemento in testa alla lista."\n def insert(self, value, index): "Inserisce un elemento dopo il nodo in posizione index."\n def insert_node(self, value, node): "Inserisce un nuovo elemento subito dopo un dato nodo."\n def find(self, node) -> int: "Trova l\'indice del nodo."\n def delete(self, value): "Elimina il primo nodo con quel valore dalla lista."\n def delete_node(self, node): "Elimina il nodo dalla lista."\n def forward(self, index) -> Node: "Restituisce il nodo in posizione index."\n ```\n \n ### Costo computazionale\n \n #### `List.forward(index)`\n \n Per raggiungere l\'`n`-esimo elemento, bisogna _scorrere tutti gli elementi prima di esso_: è dunque un **accesso sequenziale** in **`O(n)`**.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(a.a,null,n(o.a,null,'\n # Coda (Queue)\n\n Una _coda_ è come una pila, ma segue la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo `enqueue()`**\n - I dati possono essere estratti solo tramite il **metodo `dequeue()`**\n - Verranno restituiti i valori inseriti secondo la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n > Hai presente quando fai la fila per pagare al supermercato? Beh, è quello, però non si possono superare le altre persone in nessun modo.\n \n ## Metodi\n \n ```python\n class Queue:\n def __init__(self): "Crea una nuova coda."\n def is_empty(self) -> bool: "Restituisce vero se la coda è vuota."\n def enqueue(self, data): "Aggiunge un dato alla coda."\n def first(self) -> ...: "Restituisce il primo dato della coda."\n def dequeue(self) -> ...: "Restituisce il primo dato della coda e lo rimuove."\n ```\n \n ## Implementazione tramite lista\n \n Posso implementare la coda con una lista, ma per realizzare l\'implementazione più efficiente devo tenere anche un puntatore all\'ultimo elemento della coda, in modo da non doverla scorrere ogni volta che voglio effettuare un\'operazione.\n \n Chiamiamo i due puntatori `head` e `tail` rispettivamente.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(a.a,null,n(o.a,null,'\n # Pila (Stack)\n\n Una _pila_ è una struttura dati contenente **valori omogenei**.\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo `push()`**\n - I dati possono essere estratti solo tramite il **metodo `pop()`**\n - Verranno restituiti i valori inseriti secondo la strategia **Last In, First Out** (l\'ultimo inserito sarà il primo a essere estratto).\n \n > Ci si può immaginare una pila di libri, da cui si può solo prendere un libro alla volta, quello più in alto.\n \n ## Metodi\n \n ```python\n class Stack:\n def __init__(self): "Crea una nuova pila."\n def is_empty(self) -> bool: "Restituisce vero se la pila è vuota."\n def push(self, data): "Aggiunge un dato alla pila."\n def top(self) -> ...: "Restituisce il primo dato della pila."\n def pop(self) -> ...: "Restituisce il primo dato della pila e lo rimuove."\n ```\n \n ## Implementazione tramite lista\n \n Utilizzando una lista possiamo realizzare una pila!\n \n La direzione dei puntatori sarà dall\'ultimo al primo, che non punterà più a nessuno.\n \n Il costo di tutti i metodi è `Θ(1)`!\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(a.a,null,n(o.a,null,"\n # Albero radicato\n \n Un _albero radicato_ è una struttura dati di **natura ricorsiva** che organizza i dati in maniera **non-lineare**.\n \n ## Proprietà\n \n - Ogni nodo dell'albero ha un **unico genitore**: `∀ (padre, figlio), (padre' figlio) ∈ E \\implies padre = padre'`\n - Ogni nodo dell'albero può avere **un numero qualsiasi di figli**.\n \x3c!----\x3e\n - I **nodi superiori al padre** vengono chiamati _antenati_.\n - I **nodi inferiori ai figli** vengono chiamati _discendenti_.\n \x3c!----\x3e\n - Nodi **senza padre** sono detti _radice_: `\\notexists (padre, radice) ∈ E`\n - Nodi **con padre e figli** sono detti _rami_ o interni.\n - Nodi **senza figli** sono detti _foglie_.\n \x3c!----\x3e\n - La **distanza** tra il nodo radice e i suoi discendenti è detta _livello_:\n - I figli immediati sono di livello 1.\n - I \"nipoti\" (figli dei figli) sono di livello 2.\n - I figli dei nipoti sono livello 3.\n - E così via.\n - Il **livello massimo** all'interno di un albero è detto _altezza_, _profondità_ oppure _h_, ed è sempre `1 ≤ h ≤ n-1`.\n \x3c!----\x3e\n - Un albero ha sempre `n-1` archi.\n \n ## Alberi particolari\n \n ### Alberi `d`-ari\n \n Un albero _`d`-ario_ è un particolare tipo di albero che **limita il numero massimo di figli di un nodo** a `d`.\n \n > Un albero _binario_ può avere **massimo 2 figli** per ogni nodo; un albero _ternario_ ne può avere **3**; un albero _`17`-ario_ ne potrà avere **17**\n \n #### Alberi completi\n \n Un albero `d`-ario si dice _completo_ se **tutti i nodi hanno 0 o `d` figli**, e mai una numero in mezzo.\n \n #### Alberi bilanciati\n \n Un albero `d`-ario si dice _bilanciato_ se **tutti i livelli eccetto l'ultimo** hanno il numero massimo di figli.\n \n #### Alberi perfettamente bilanciati\n \n Un albero `d`-ario si dice _perfettamente bilanciato_ se **tutti i livelli incluso l'ultimo** hanno il numero massimo di figli.\n \n ##### Particolarità degli alberi binari perfettamente bilanciati\n \n Si può dimostrare per induzione che:\n - Hanno sempre `2^h` foglie.\n - Hanno sempre `2^{h+1}-1` (`\\sum_i=0^n 2^i`) nodi.\n - L'altezza è in `Θ(log n)`.\n \n ## Implementazione degli alberi\n \n Possiamo scegliere se usare una rappresentazione con array o con nodi e puntatori: ognuna ha vantaggi e svantaggi diversi.\n \n ### Implementazione tramite array\n \n E' suggerito se l'albero è regolare; più è simile a un albero d-ario completo, meglio è.\n \n ### Implementazione tramite nodi e puntatori\n \n Più adatta ad alberi irregolari.\n \n Se l'albero è regolare, creiamo il numero esatto di campi:\n \n - Valore\n - Figlio1\n - Figlio2\n - _Opzionale:_ Padre\n \n Se un albero è irregolare, creiamo una specie di lista:\n \n - Valore\n - Primo figlio\n - Prossimo fratello\n - _Opzionale:_ Padre\n ")),n(a.a,null,n(o.a,null,"\n #### Breadth-first search (BFS)\n\n La _breadth-first search_ è un algoritmo che visita **ogni livello** dell'albero in ordine, dal più basso al più alto.\n \n ## Funzionamento\n \n > 1. __Visita radice__\n > 2. __Visita figli__\n > 3. __Visita nipoti__\n > 4. __Visita pronipoti__\n \n Si può implementare con una coda, in cui verranno inseriti i figli del nodo visitato da visitare ed estratti dopo avere completato la visita del livello attuale.\n \n ## Pseudocodice \n \n ```python\n def bfs(radice):\n c = Queue()\n c.enqueue(radice)\n while not c.is_empty():\n nodo = c.dequeue()\n print(nodo)\n for figlio in nodo.figli:\n nodo.enqueue(figlio)\n ```\n ")),n(a.a,null,n(o.a,null,"\n # Depth-First Search\n\n La _depth-first search_ è un algoritmo che visita **tutti i sottoalberi di un figlio** prima di passare ad un altro sfruttando la natura ricorsiva degli alberi.\n \n ## Funzionamento\n \n Ci sono diverse versioni della depth-first search: ognuna visita la radice in un momento diverso.\n \n ### DFS previsita (pre-order)\n \n La _DFS pre-visita_ visita la **radice per prima**, poi tutti i sottoalberi formati dai figli uno dopo l'altro.\n \n > 1. __Visita radice__\n > 2. dfs_pre_order(figlio1)\n > 3. dfs_pre_order(figlio2)\n \n ### Postvisita (post-order)\n \n La _DFS postvisita_ visita prima tutti i sottoalberi dei figli, e **alla fine la radice**.\n \n > 1. dfs_post_order(figlio1)\n > 2. dfs_post_order(figlio2)\n > 3. __Visita radice__\n \n ### Invisita (in-order)\n \n La _DFS invisita_ visita **un certo numero di figli**, poi la radice, e infine i figli restanti.\n \n > 1. dfs_in_order(figlio1, 1)\n > 2. __Visita radice__\n > 3. dfs_in_order(figlio2, 1)\n ")),n(a.a,null,n(o.a,null,"\n # Albero binario di ricerca\n\n ## Proprietà\n \n - Albero **binario**\n - Chiavi appartenenti ad un **insieme totalmente ordinato** (N, Q, R, ma non C)\n \x3c!----\x3e\n - Per ogni nodo con valore `x`, se un valore `v` è nel sottoalbero di sinistra allora `v ≤ x`, mentre se è nel sottoalbero di destra allora `v > x`.\n \n ## Costo computazionale\n \n - Trovare un valore: `O(h)`\n - Ordinare i valori: `O(n)`\n - Trovare il minimo: `O(h)`\n - Trovare il massimo: `O(h)`\n - Inserire un elemento: `O(h)`\n - Cancellare un elemento: `O(h)`\n \n `h` vale `log n` in un albero perfettamente bilanciato, e più l'albero diventa sbilanciato, più si avvicina a `n`, raggiungendola nel caso l'albero sia una lista.\n \n ## Pseudocodice\n \n ### Cancellazione ricorsiva\n \n ```python\n def delete(tree, key):\n if tree is not None:\n # Se ho trovato il nodo che cercavo...\n if tree.key == key:\n # E c'è una sola diramazione...\n # Semplicemente stacca il nodo come in una lista.\n if tree.left is None:\n return tree.right\n if tree.right is None:\n return tree.left\n # Altrimenti, diventa il minimo dell'albero di destra\n tree.key = tree.right.min()\n # Ed eliminalo dal sottoalbero\n tree.right = delete(tree.right, tree.key)\n # Se la chiave attuale è diversa da quella che cerchiamo, continuo a navigare l'albero\n elif tree.key < key:\n tree.left = delete(tree.left, key)\n else:\n tree.right = delete(tree.right, key)\n return tree\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/bst)\n \n ## Approfondimenti\n \n Esistono alberi più avanzati che mantengono le proprietà degli alberi binari di ricerca, ma che si autobilanciano, come il [Red Black Tree](https://it.wikipedia.org/wiki/RB-Albero).\n ")),n(a.a,null,n(o.a,null,'\n # Heap binario\n \n L\'_heap binario_ è un **albero binario bilanciato a sinistra**.\n \n ## Proprietà\n \n - _Proprietà strutturale_:\n - L\'albero è **perfettamente bilanciato** in tutti i livelli tranne l\'ultimo\n - Nell\'ultimo livello, le foglie occupano le **posizioni più a sinistra** possibili\n - _Proprietà di ordinamento_:\n - La chiave di un qualsiasi nodo è **più piccola** di tutte quelle dei nodi **del suo sottoalbero**\n \n ## Metodi\n \n ```python\n class Heap:\n def __init__(self, H): ...\n def _heapify_ancestors(self, i): "Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi genitori."\n def minimum(self): "Restituisce la chiave con il valore minimo in H."\n def decrease_value(self, index, new_value): "Diminuisce il valore della chiave all\'indice index a new_value."\n def insert(self, value): "Inserisci un nuovo valore nell\'albero."\n def _heapify_children(self, i): "Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi figli."\n def pop(self): "Restituisce la chiave con il valore minimo, e la elimina."\n def from_list(l): "Crea un heap da una lista."\n ```\n \n ## Implementazione con un array\n \n Possiamo implementare l\'albero utilizzando un array con le chiavi dell\'albero memorizzate nell\'ordine _breadth-first_.\n \n L\'indice del figlio sinistro può essere trovato a `2i+1`, mentre l\'indice del figlio sinistro può essere trovato a `2i+2`; il genitore è a `i//2-1`.\n \n ### Pseudocodice\n \n ```python\n class Heap:\n def __init__(self, size):\n self.array = Array(size) # Il tipo Array non esiste; consideriamolo pseudocodice\n self.next_value = 0\n \n def _heapify_ancestors(self, index)\n """Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi genitori.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice del genitore\n parent = index // 2 - 1\n # Controllo se viene mantenuta la proprietà di ordinamento dell\'heap\n if self.array[index] < self.array[parent]:\n # Scambio i valori dei due nodi\n self.array[index], self.array[parent] = self.array[parent], self.array[index]\n # Faccio la stessa cosa con il genitore\n self._heapify(parent)\n \n \n def minimum(self):\n """Restituisce la chiave con il valore minimo in H.\n \n Costo:\n O(1)"""\n return self.array[0]\n \n def decrease_value(self, index, new_value):\n """Diminuisce il valore della chiave all\'indice index a new_value.\n \n Costo:\n O(log n)"""\n # Diminuisco il valore del nodo\n self.array[index] = new_value\n # Aggiorno l\'heap \n self._heapify(index)\n \n def insert(self, value):\n """Inserisci un nuovo valore nell\'albero.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice in cui inserire il valore\n index = self.next_index \n # Aggiungo il valore in fondo\n self.array[index] = value\n # Aggiorno l\'heap\n self._heapify(index)\n \n def _heapify_children(self, index):\n """Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi figli.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice dei figli\n left = index * 2 + 1\n right = index * 2 + 2\n # Mi assicuro che i figli esistano\n try:\n # Guardo quale dei figli è maggiore\n if self.array[left] > self.array[right]:\n # Scambio i valori\n self.array[left], self.array[index] = self.array[index], self.array[left]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n else:\n # Scambio i valori\n self.array[right], self.array[index] = self.array[index], self.array[right]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n except IndexError:\n # La foglia non ha figli: ho finito!\n return\n \n def pop(self):\n """Restituisce la chiave con il valore minimo, e la elimina.\n \n Costo:\n O(log n)"""\n # Mi salvo il valore della radice\n value = self.array[0]\n # Sostituisco la radice con l\'ultima foglia a destra\n self.array[0], self.array[self.next_value] = self.array[self.next_value], self.array[0]\n ### Non bisognerebbe eliminare la foglia...?\n # Riordino l\'heap\n self._heapify_children(0)\n return value\n \n @staticmethod\n def from_list(l):\n """Crea un heap da una lista.\n \n Costo:\n O(n log n), ma si può abbassare"""\n heap = Heap(len(l)))\n heap.array = Array.from_list(l) # Pseudocodice\n heap.next_value = len(l)\n # Cominciamo a riordinare l\'heap dalla fine, in modo che rispetti le proprietà\n for index in range(heap.next_value, 0, -1):\n heap._heapify_children(index)\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/heap)\n ')),n(a.a,null,n(o.a,null,"\n # Coda con priorità\n \n La _coda con priorità_ è una struttura dati dal funzionamento molto simile a quello di una coda, ma invece che restituire il primo elemento inserito, essa restituisce l'**elemento con il valore di priorità minore**.\n \n ## Proprietà\n \n - Ogni elemento è una coppia costituita da **valore** e **priorità** (un numero intero).\n - Nuovi elementi possono essere aggiunti solo tramite il **metodo `insert()`**\n - Gli elementi possono essere estratti solo tramite il **metodo `pop()`**\n - Verranno restituiti i valori inseriti secondo la strategia **Lower Priority** (l'elemento con la priorità minore sarà il primo ad essere restituito).\n - E' possibile diminuire la priorità di un elemento (e quindi anticipare la sua estrazione)\n \n ## Metodi\n \n ```python\n class PriorityQueue:\n def __init__(self): ...\n def insert(self, new_elem: Element): ...\n def minimum(self) -> Element: ...\n def pop(self) -> Element: ...\n def decrease_priority_for(self, elem: Element, priority: int): ...\n ```\n \n ## Implementazione con lista\n \n E' possibile implementare la coda con priorità tramite una **lista**: l'inserimento di nuovi valori diventerà molto efficiente, ma tutte le altre operazioni saranno linearmente lente.\n \n ### Costo computazionale\n \n - *insert()*: `O(1)`\n - *minimum()*: `O(n)`\n - *pop()*: `O(n)`\n - *decrease_priority_for()*: `O(n)`\n \n ## Implementazione con lista ordinata\n \n Implementando la coda con priorità con una **lista ordinata** si avrà un costo di ordinamento elevato negli inserimenti e modifiche alla priorità, ma costi costanti nell'estrazione di un elemento.\n \n ### Costo computazionale\n \n - *insert()*: `O(n)`\n - *minimum()*: `O(1)`\n - *pop()*: `O(1)`\n - *decrease_priority_for()*: `O(n)`\n \n ## Implementazione con heap\n \n La **soluzione migliore** è quella di implementare la coda con priorità tramite un **heap**: tutti i costi saranno logaritmici, eccetto l'inserimento che sarà costante.\n \n - `insert()` costa `O(1)`\n - `minimum()` costa `O(log n)`\n - `pop()` costa `O(log n)`\n - `decrease_priority_for()` costa `O(log n)`\n \n ## Approfondimenti\n \n Esistono code con priorità che restituiscono **l'elemento con priorità maggiore**, invece che quello minore.\n ")),n(a.a,null,n(o.a,null,"\n # Heap sort\n\n L'_heap sort_ è un algoritmo di ordinamento per confronto **iterativo**.\n \n ## Funzionamento\n \n Per effettuare un heap sort, creiamo un **heap massimo** in cui inseriamo tutti i valori che vogliamo ordinare.\n \n Una volta applicate le proprietà dell'heap, chiamiamo una versione particolare di `heap.pop()` che invece che rimuovere dall'array i valori estratti li posiziona nello spazio creatosi in fondo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n log n)` | `Ω(n log n)` | **`θ(n log n)`** |\n ")),n(a.a,null,n(o.a,null,"\n # Grafo\n \n Un _grafo_ è una struttura dati che rappresenta elementi interconnessi tra loro.\n \n Esistono due tipi di grafi: _orientati_ e _non orientati_.\n \n Per semplicità, consideriamo i nostri nodi numerati da 1 a `n`.\n \n ## Proprietà\n \n - Gli elementi sono rappresentati tramite _nodi_.\n - Il loro _grado_ è dato dal **numero degli archi** che vi incidono.\n - Se il grafo è orientato, hanno anche un _in-degree_ (**numero di archi entranti**) e un _out-degree_ (**numero di archi uscenti**).\n - Le connessioni tra elementi sono rappresentate tramite _archi_.\n - Un arco _incide_ esattamente su **due nodi**.\n - Se il grafo è orientato, sono _uscenti_ da uno dei due nodi ed _entranti_ nell'altro.\n - Sono matematicamente meno del **quadrato dei nodi**.\n \n ## Grafi particolari\n \n ### Catena\n \n Una _catena_ è un **grafo non orientato** composto da una **sequenza di nodi** aventi un **grado massimo di 2** tutti collegati tra loro.\n \n ### Cammino\n \n Un _cammino_ è un **grafo orientato** composto da una **sequenza di nodi** aventi un **in-degree** e un **out-degree** **massimo di 1**, collegati tra loro in modo che partendo dal primo e seguendo gli archi sia possibile arrivare all'ultimo.\n \n ### Cricca\n \n Una _cricca_ è un grafo in cui **tutti i nodi sono collegati tra loro**.\n \n Se il grafo è **non orientato**, la cricca ha `((n-1)n)/2` archi.\n \n Se il grafo è **orientato**, ha per ogni coppia un arco in entrambe le direzioni, quindi ha `(n-1)n` archi.\n \n ### Direct Acyclic Graph\n \n Un _DAG_ è un grafo diretto che non contiene nessun ciclo.\n \n Su di esso possiamo effettuare un ordinamento, detto _linearizzazione_, tra i nodi: otteniamo l'_ordine topologico_.\n \n I primi elementi dei DAG sono detti _Source_ (_Sorgente_), mentre gli ultimi sono detti _Sink_ (_Pozzo_).\n \n #### Albero\n \n Un **albero** può essere considerato un DAG con una **sorgente singola** e le **foglie come pozzi**.\n \n ### Grafo fortemente connesso\n \n Un insieme di nodi `V` di un **grafo diretto** `G` si dice una _componente fortemente connessa_ se:\n \n 1. Per ogni coppia di nodi `∀ u, v ∈ V' : ∃ un cammino u->v in G'`\n 2. Massimale (non può diventare più grande)\n \n > Praticamente una componente fortemente connessa è un gruppo di nodi tra i quali si può viaggiare liberamente da e a qualsiasi nodo al suo interno.\n \n Un grafo si dice _fortemente connesso_ se l'insieme `V` coincide con l'insieme dei nodi del grafo `G`.\n \n > Se partendo da qualsiasi nodo di un grafo riesco ad arrivare a qualsiasi altro nodo, allora il grafo è fortemente connesso.\n \n Inoltre, se creiamo un nuovo grafo, in cui **ogni nodo rappresenta una componente fortemente connessa** del nostro grafo iniziale, **otteniamo un DAG**, perchè tutti i cicli sono stati integrati nella componente.\n \n ### Trasposto di un grafo\n \n Il _trasposto_ di un **grafo diretto** `G` è il grafo stesso con gli archi che però vanno nella **direzione opposta**.\n \n ### Grafo pesato\n \n Un _grafo pesato_ è un particolare grafo che associa a ciascun arco un **costo** per attraversarlo.\n \n #### Costi negativi\n \n I costi possono anche essere negativi: rappresenteranno allora un **guadagno** ottenuto attraversando il nodo.\n \n ### Minimum spanning tree\n \n Un _minimum spanning tree_ è il **sottoinsieme degli archi** di un **grafo non diretto** che **connettono tutti i nodi** con il **minor costo possibile**.\n \n I MST hanno [molte proprietà](https://en.wikipedia.org/wiki/Minimum_spanning_tree#Properties); sono troppe da scrivere qui, e probabilmente non ci interesseranno nemmeno.\n \n ## Implementazione tramite matrice di adiacenza\n \n Possiamo implementare un grafo creando una **matrice di `bool` di dimensione `n * n`** in cui le **caselle collegate sono vere** e le caselle non collegate sono false.\n \n > Ad esempio, possiamo implementare un grafo non orientato in questo modo (`█` indica l'esistenza di un collegamento e ` ` indica la sua assenza):\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|░|░|\n > |2|█|░|░|\n > |3|█| |░|\n >\n > Esistono gli archi `1-2` e `1-3`, ma non esiste un collegamento `2-3`.\n \n > Un grafo orientato invece si può implementare così:\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|█| |\n > |2|█|░| |\n > |3|█| |░|\n >\n > Esistono gli archi `1->2`, `2->1` e `3->1`, ma non ci sono collegamenti `2->3`, `1->3` e `3->2`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Le matrici di adiacenza portano alla realizzazione di algoritmi molto veloci: verificare l'esistenza di un arco è in `O(1)`!\n \n Abbiamo però penalità significative quando vogliamo effettuare operazioni sugli archi: ad esempio, trovare il trasposto di un grafo implementato con una matrice di adiacenza è in `O(nodi²)`.\n \n #### Memoria\n \n E' poco efficiente in quanto a memoria: l'upper bound è in `O(n^2)`. \n \n ## Implementazione tramite liste di adiacenza\n \n Un'alternativa alla matrice di adiacenza è quella di creare un'**array di liste**, le quali contengono i **vicini di ciascun nodo**.\n \n > |Posizione|Lista|\n > |-|-|\n > |1|[2, 3]|\n > |2|[]|\n > |3|[1]|\n >\n > Esistono gli archi `1->2`, `1->3`, e `3->1`, ma non esistono `2->1`, `2->3` e `3->2`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Utilizzando le liste di adiacenza, il tempo richiesto per verificare l'esistenza di un arco sale a `O(max-out-degree)`.\n \n E' efficace però quando il problema che vogliamo risolvere riguarda operazioni su archi: trovare la trasposta è in `O(archi)`.\n \n #### Memoria \n \n La memoria richiesta dalle liste di adiacenza è minore di quella delle matrici: l'upper bound è in `O(nodi + archi)`.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/graphds)\n ")),n(a.a,null,n(o.a,null,"\n # Visitare un grafo\n \n Come per gli alberi radicati, esistono due modi per visitare un grafo: _depth-first search_ e _breadth-first search_.\n \n In entrambi i casi, non visito mai due volte lo stesso nodo, e come risultato ottengo **molteplici alberi**, il cui insieme viene detto _foresta di copertura_.\n \n Se il grafo che vogliamo visitare è diretto, allora dobbiamo **considerare come vicini solo gli archi uscenti**\n \n ## Depth-first search\n \n La DFS ci può risultare utile per **identificare le componenti connesse** di un grafo e **identificare eventuali cicli**.\n \n ### Funzionamento\n \n Posso utilizzare la DFS per classificare gli archi di un grafo in quattro categorie:\n \n - _Tree_, archi che ci fanno **scoprire un nuovo nodo**\n - _Forward_, archi che ci portano a un **discendente**\n - _Back_, archi che ci portano ad un **antenato**\n - _Cross_, archi che **connettono due sottoalberi** diversi\n \n Usiamo due array inizializzati a 0 chiamati `pre` e `post`, grandi quanto il numero di archi del grafo, che ci indicano rispettivamente quando un nodo è stato scoperto e quando è terminata la visita. \n Inoltre, creiamo una variabile `clock` che avanza ad ogni evento. \n Alla scoperta di un nuovo nodo, mettiamo il valore attuale di `clock` all'interno di `pre[n]`. \n Alla fine della visita di un nodo invece mettiamo il valore di `clock` in `post[n]`.\n \n **Durante la visita**, gli archi avranno i seguenti valori:\n - _Tree_: `pre[dst] == 0`\n - _Forward_: `pre[src] < pre[dst] && post[dst] > 0`\n - _Back_: `pre[dst] < pre[src] && post[dst] == 0`\n - _Cross_: Tutti gli altri (`post[dst] < pre[src]`)\n \n **A fine visita**, gli archi avranno i seguenti valori:\n - _Tree_: `pre[dst] < pre[dst] < post[dst] < pre[src]`\n - _Forward_: `pre[dst] < pre[dst] < post[dst] < pre[src]`\n - _Back_: `pre[src] < pre[dst] < post[dst] < post[src]`\n - _Cross_: `pre[dst] < post[dst] < pre[src] < post[src]`\n \n Se un **grafo non diretto** contiene degli **archi Back**, allora esso **conterrà un ciclo**.\n \n #### DFS nel grafo trasposto\n \n Se effettuo una DFS sul trasposto di un grafo, posso **scoprire i nodi che hanno un cammino verso l'origine**.\n \n #### DFS nella componente fortemente connessa\n \n Se effettuo una DFS in una componente fortemente connessa e nella sua trasposta, il **`post` della trasposta sarà sempre minore** del `post` della componente originale.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n | Memoria | `O(nodi)` | `Ω(nodi)` | **`θ(nodi)`** |\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n \n ## Breadth-first search\n \n La BFS ci può risultare utile per **trovare tutti i nodi a una certa distanza** da un'origine.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n | Memoria | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n \n ### Pseudocodice\n \n Come per gli alberi, la implementiamo in modo **iterativo**:\n \n ```python\n queue = [starting_node]\n parents = [None for node in graph.nodes]\n distance = [-1 for node in graph.nodes]\n \n # TODO: controllami quando sei più sveglio\n \n while queue:\n node, source, distance = queue.pop(0)\n parents[node.number] = source\n distance[node.number] = distance\n for neighbour in node.neighbours:\n queue.append((neighbour, node, distance+1))\n ```\n \n > Nella coda, la distanza massima tra un nodo e l'altro è 1.\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmi greedy\n\n Un modo per risolvere problemi algoritmici può essere usare una **tecnica** _greedy_.\n \n Le tecniche greedy consistono nel effettuare tanti piccoli passi, ed effettuare una **scelta** in base ai dati **locali al passo attuale**.\n \n > Scegli il numero di monete più piccole possibili per comporre €1.12.\n >\n > L'algoritmo cerca di scegliere sempre la moneta più grande possibile compatibile con il prezzo in quel momento, quindi:\n > | Moneta scelta | Rimanente |\n > |---------------|-----------|\n > | € 1.00 | € 0.12 |\n > | € 0.10 | € 0.02 |\n > | € 0.02 | € 0.00 |\n \n ## Esempi\n \n Sono algoritmi greedy:\n \n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n ")),n(a.a,null,n(o.a,null,"\n # Percorso più breve\n\n Trovare il _percorso più breve_ (o _cammino minimo_) tra due nodi di un **grafo pesato** è un problema frequente nell'informatica; per questo, sono stati sviluppati [numerosi algoritmi](https://en.wikipedia.org/wiki/Shortest_path_problem) per risolverlo.\n \n > Ad esempio, il pathfinding dei nemici nei videogiochi, oppure Google Maps!\n \n ## Percorso più breve da una sorgente singola\n \n Una sottocategoria del problema del percorso più breve è il caso in cui ci interessa sapere i percorsi più brevi che **partono da uno specifico nodo del grafo**: è detto problema del _percorso più breve da una sorgente singola_, o _single-source shortest path_.\n \n Si può notare che se il grafo contiene **costi negativi** allora è possibile che il percorso più breve non esista, in quanto diventa possibile la comparsa di **cicli di costo infinitamente negativo**.\n \n Possiamo notare che, se il percorso più breve tra `A` e `D` è `A-B-C-D`, allora il cammino minimo tra `B` e `D` passerà obbligatoriamente per `C` (`B-C-D`).\n Diremo più avanti che il percorso più breve ha una **sottostruttura ottimale**.\n \n ### Esempi\n \n Alcuni algoritmi che trovano il percorso più breve sono:\n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Bellman-Ford_\n - La [_ricerca A*_](https://en.wikipedia.org/wiki/A*_search_algorithm)\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Dijkstra\n \n L'_Algoritmo di [Dijkstra](https://upload.wikimedia.org/wikipedia/commons/8/85/Dijkstra.ogg)_ è un algoritmo che risolve il problema del **percorso più breve da una sorgente singola** per grafi con pesi **reali positivi** `\\mathbb{R}^+`.\n \n L'algoritmo trova tutti i percorsi più brevi per raggiungere qualsiasi nodo del grafo partendo da un dato nodo, assieme al costo richiesto per farlo.\n \n ## Funzionamento\n \n 1. Separiamo tutti i nodi del grafo in due gruppi: **visitati** e **non visitati**. \n - Tutti i nodi partono da **non visitati**.\n 2. Per ogni nodo, manteniamo un valore \"**costo richiesto per raggiungerlo**\", che verrà cambiato man mano che l'algoritmo avanza.\n - Il costo di partenza è `+∞`.\n - Il costo sarà **definitivo per i nodi visitati**, e **provvisorio per i non visitati**.\n 3. Creiamo un insieme detto _frontiera_ che conterrà tutti i **nodi non visitati adiacenti** a quelli visitati.\n 4. Prendiamo il nodo iniziale, che avrà un **costo di `0`**, e definiamolo il nodo _attuale_.\n 5. Finchè ci sono dei nodi non sono stati visitati, ripetiamo il seguente ciclo:\n 1. Aggiungiamo i nodi adiacenti al nodo attuale alla frontiera.\n - Il costo per raggiungerli sarà il **costo per il nodo attuale sommato al costo dell'arco** che li connette al nodo attuale. \n Se questo **costo** risulta essere **minore del costo provvisorio** precedente, esso **diventerà il nuovo costo**.\n - Questa operazione è detta _rilassamento dell'arco_.\n 2. Facciamo diventare **visitato** il nodo attuale.\n - Il percorso che abbiamo fatto per raggiungerlo è obbligatoriamente il più breve.\n 3. Il prossimo nodo attuale sarà il nodo di frontiera con un costo più basso.\n - Per questo, è possibile definire l'algoritmo di Dijkstra come un **algoritmo greedy**.\n \n ### Non funziona se...\n \n L'algoritmo smette di funzionare nel caso in cui siano presenti **costi negativi** e il grafo non sia **aciclico**, in quanto non saremmo mai in grado di rendere visitato un nodo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(nodi + archi) log nodi)` |\n \n ### Scomposizione\n \n - Inizializzazione: `O(nodi)`\n - Creazione coda priorità: `O(nodi log nodi)`\n - Ciclo: `O((nodi + archi) log nodi)`\n \n ## Pseudocodice\n \n ```python\n import math\n \n class Info:\n def __init__(self, distance=math.inf, previous=None):\n self.distance = distance\n self.previous = previous\n \n def dijkstra(graph, start):\n data = [Info() for node in graph.nodes]\n queue = PriorityQueue([start])\n while queue:\n node = queue.pop()\n for arc in node.connections:\n other = arc.other(node)\n if data[node.number].distance + arc.cost < data[other].distance:\n data[other].distance = data[node.number].distance + arc.cost\n queue.decrease_priority_for(other, data[other].distance)\n data[v].previous = node\n return data\n ```\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Bellman-Ford\n\n L'_Algoritmo di Bellman-Ford_ è un algoritmo che, come l'Algoritmo di Dijkstra, risolve il problema del **percorso più breve da una sorgente singola**, però, a differenza da quest'ultimo, l'Algoritmo di Bellman-Ford accetta in input anche grafi con pesi **reali** `\\mathbb{R}` (sia positivi, sia negativi).\n \n ## Funzionamento\n \n L'approccio dell'algoritmo è simile a quello di Dijkstra: entrambi usano il **rilassamento** degli archi per ottenere un costo provvisorio per il raggiungimento di un nodo, ma invece che rilassare solo l'arco con costo inferiore, questo algoritmo **rilassa tutti gli archi** ripetutamente, eliminando la frontiera e il problema dei nodi negativi.\n \n L'operazione di rilassamento è ripetuta `nodi - 1` volte, ovvero la **lunghezza massima** di un cammino aciclico all'interno di un grafo.\n \n Possiamo individuare dopo i rilassamenti se è presente un nodo con un **ciclo negativo**: ci basta controllare se esiste un arco che connette due nodi con una distanza incompatibile: se `a.distanza + arco.costo < b.distanza`, allora è presente un ciclo negativo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(nodi * archi)` |\n \n ## Pseudocodice\n \n > TODO\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n ")),n(a.a,null,n(o.a,null,'\n # Disjoint set\n \n Il _disjoint set_ è una struttura dati che rappresenta elementi di un insieme raggruppati in **sottoinsiemi disgiunti**.\n \n ## Metodi\n \n ```python\n class DisjointNode:\n def __init__(self): ...\n def find_set(self): "Trova il rappresentante dell\'elemento."\n def union(self, other): "Unisce i sottoinsiemi che contengono questo nodo e `other`."\n ```\n \n ## Implementazione tramite array\n \n Possiamo implementare il disjoint set con due array: uno per l\'**indice del rappresentante** e uno per il **rango dell\'insieme**.\n \n Un singoletto avrà **sè stesso come rappresentante** e **rango `0`**.\n \n ### Costo computazionale\n \n - *create_set()*: `O(1)`\n - *find_set()*: `O(h)`\n - *union()*: `O(h)`\n \n ### Pseudocodice\n \n ```python\n class DisjointNode:\n def __init__(self):\n self.parent = self\n self.rank = 0\n \n def find_set(self):\n element = self\n while self.parent != element:\n element = self.parent\n return element\n \n def union(self, other):\n repres_self = self.find_set()\n repres_other = other.find_set()\n if repres_self == repres_other:\n return\n if repres_self.rank < repres_other.rank:\n repres_greater = repres_other\n repres_lesser = repres_self\n else:\n repres_greater = repres_self\n repres_lesser = repres_other\n repres_lesser.parent = repres_greater\n if repres_greater.rank == repres_lesser.rank:\n repres_greater.rank += 1\n ```\n \n ### Visualizzazione\n \n [cs.usfca.edu](https://www.cs.usfca.edu/~galles/JavascriptVisual/DisjointSets.html)\n ')),n(a.a,null,n(o.a,null,"\n # Trovare il minimum spanning tree\n\n Un altro problema ricorrente riguardante i grafi è trovare il _minimum spanning tree_ di un dato grafo non diretto.\n \n > E' utile per trovare il modo più efficiente per connettere le cose: ad esempio, per decidere la struttura di una rete internet!\n \n ## Esempi\n \n Gli algoritmi principali che risolvono il problema sono due, ed entrambi sono **algoritmi greedy**:\n \n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Kruskal\n \n L'_Algoritmo di Kruskal_ è un algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n 1. Ripetiamo questa procedura finchè tutti i nodi non sono connessi:\n 1. Prendiamo ad ogni passo **l'arco meno costoso** del grafo non ancora aggiunto all'insieme.\n 2. Assicuriamoci che **non si creino cicli**: se non se ne verrebbero a creare, possiamo **aggiungere l'arco all'insieme**.\n - Gli archi devono quindi connettere nodi in **componenti connesse diverse**.\n - Possiamo rappresentare le componenti connesse con un **Disjoint Set**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(archi²)` |\n \n ### Scomposizione\n \n - DisjointSet.__init__(): `O(archi)`\n - Per ogni ciclo: `O(archi²)`\n - DisjointSet.find_set(): `O(1)`\n - DisjointSet.union(): `O(archi)`\n \n ## Pseudocodice\n \n ```python\n def minimum_spanning_tree_kruskal(graph):\n ds = DisjointSet()\n for node in graph.nodes:\n ds.create_set(node)\n arcs = []\n sorted_arcs = sorted(graph.arcs, key=lambda arc: arc.cost)\n for arc in sorted_arcs:\n if ds.find_set(node.start) != ds.find_set(node.end):\n arcs.append(arc)\n ds.union(node.start, node.end)\n return arcs\n ```\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Prim\n \n L'_Algoritmo di Prim_ è un altro algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n Creo una **coda con priorità** in cui inserisco tutti gli archi visibili dal mio albero, in cui la chiave è il **costo dell'arco**.\n \n Per trovare l'arco con costo più piccolo posso **estrarre un arco** dalla coda: la priorità ci garantisce che esso è l'**arco meno costoso**.\n \n Aggiungo allora un nuovo nodo all'albero, e con esso, **aggiungo alla coda** tutti gli **archi che scoprono un nuovo nodo**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(archi + nodi log nodi)` |\n \n ## Pseudocodice\n \n ```python\n import math\n \n def minimum_spanning_tree_prim(graph, cost_array, start_node):\n # E' un Array di bool: se l'indice corrispondente al nodo è uguale a true, vuol dire che il (nodo è contenuto nell'albero.\n contains = [False for _ in range(len(graph))]\n # Contiene il precedente di ogni nodo \n prev = [None for _ in range(len(graph))]\n # Contiene il costo per arrivare a quel nodo\n cost = [math.inf for _ in range(len(graph))]\n # Creo la priority queue\n pq = PriorityQueue(graph.arcs, key=lambda arc: arc.cost)\n # Parto dal nodo `start_index`\n # Il costo dell'origine è 0.\n cost[start_node.index] = 0\n contains[start_node.index] = True\n \n while not pq.is_empty():\n new_node = pq.pop()\n contains[new_node.index] = True\n for arc in new_node.connections:\n other_node = arc.other(new_node)\n if not contains[other_node.index] and cost[other_node.index] > arc.cost:\n cost[other_node.index] = arc.cost\n prev[other_node.index] = new_node\n pq.decrease_priority_for(other_node, arc.cost)\n # L'array di prev rappresenta un albero.\n return prev\n ```_\n ")),n(a.a,null,n(o.a,null,"\n # Compressione\n\n _Comprimere_ un file significa **ridurne le dimensioni** senza modificarne il significato.\n \n ## Categorie\n \n ### Compressione lossless\n \n Nella _compressione lossless_, i dati possono essere decompressi riottenendo una copia identica dell'originale.\n \n > Immaginiamo un file che contiene solo le lettere `a, b, c, d, e, f`.\n >\n > Le lettere compaiono con questa frequenza:\n > |a|b|c|d|e|f|\n > |45%|13%|12%|16%|9%|5%|\n >\n > Possiamo codificare le lettere nel seguente modo:\n > |a|b|c|d|e|f|\n > |`0b0`|`0b100`|`0b101`|`0b111`|`0b1100`|`0b1101`|\n >\n > Scrivere `abacadae` richiederebbe 64 bits con la codifica ASCII estesa, ma in questo modo riusciamo a scriverlo con soli 17 bits!\n \n Le codifiche di un file compresso devono rispettare la proprietà del _Codice a prefisso_, che dice che **nessun codice deve essere il prefisso di un altro codice**; altrimenti, si avrebbero ambiguità nella decodifica.\n \n > a = `1`\n > b = `11`\n >\n > `111` è `ab`, `ba` oppure `aaa`?\n \n Creiamo allora un _albero di decodifica_: un **albero binario** che, leggendo uno ad uno i bit codificati, ci permette di arrivare al **valore del codice presente sulle foglie** dell'albero.\n \n Gli alberi di decodifica sono sempre **completi**.\n \n > Un albero di decodifica incompleto sarebbe non ottimizzato!\n \n #### Esempi\n \n - .png\n - .flac\n - .zip\n - ...\n \n ### Compressione lossy\n \n Nella _compressione lossy_, alcuni dati [solitamente](http://needsmorejpeg.com/) irrilevanti vengono perduti: non si può, dunque, ricostruire l'originale.\n \n #### Esempi\n \n - .jpeg\n - .mp3\n - ...\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Huffman\n\n L'_Algoritmo di Huffman_ è un **algoritmo greedy** per la **costruzione di un albero di decodifica**.\n \n ## Funzionamento\n \n 1. Costruisco **un albero** (con un solo nodo) **per ogni elemento dell'alfabeto**.\n 2. Associo ad **ogni albero la frequenza dell'elemento** da cui è stato creato, per poi inserire tutti gli elementi in una coda con priorità.\n 3. Finchè non ho **un albero solo**:\n 1. Estraggo dalla coda i **due alberi con frequenza minore**.\n 2. **Li rendo fratelli**, creando un nuovo nodo in cui sono uno figlio destro e uno figlio sinistro.\n 3. Associo al nuovo nodo la **somma delle frequenze dei due alberi**, e inserisco il nuovo albero nella coda.\n \n > È molto raro che venga un albero \"dritto\"; se succede, probabilmente c'è qualcosa che non va.\n ")),n(a.a,null,n(o.a,null,"\n # Dizionario\n \n Un _dizionario_ è una struttura dati che **associa dei valori a delle chiavi**.\n \n ## Proprietà\n \n - Ogni elemento del dizionario è un **valore** che è stato **associato a una chiave**.\n - Possiamo aggiungere nuovi elementi con il **metodo `add(chiave, valore)`**.\n - Posiamo estrarre elementi con il **metodo `get(chiave)`**, che restituirà il valore associato a `chiave`.\n - E' possibile rimuovere elementi con il **metodo `delete(chiave)`**.\n - Due elementi con **chiavi diverse** non devono **mai restituire lo stesso valore**.\n \n ## Metodi\n \n Beh... Non ha molto senso in questo caso...\n \n ```python\n dict()\n ```\n \n ## Implementazione con tabella hash\n \n Una _tabella hash_ è un'array di coppie **chiave-valore**, che formano l'insieme _universo_.\n \n Per determinare l'**indice dell'array** in cui inserire una coppia, usiamo una [funzione _hash_](https://it.wikipedia.org/wiki/Hash#Algoritmo_di_hash) sulla chiave, che restituirà **numeri da `0` a `len(hash_table)`**.\n \n ### Risoluzione collisioni\n \n Potrebbe capitare però che **due chiavi diverse abbiano lo stesso indice**. Dobbiamo allora usare un metodo di _risoluzione collisioni_, che mi permetta di distinguere tra chiavi diverse.\n \n #### Lista di trabocco\n \n Possiamo salvare nell'array **liste di coppie** chiave-valore; in caso di collisione, **aggiungo un nuovo elemento alla lista**.\n \n In media, ciascuna di queste liste conterrà `elementi_inseriti / dimensione_tabella` elementi.\n \n #### Indirizzamento aperto\n \n Possiamo decidere di mettere le coppie che non trovano posto nel loro indice in **un altro indirizzo vuoto** dell'array.\n \n Ci sono diversi modi in cui decidere il nuovo indirizzo, ognuno con vantaggi e svantaggi: si può scegliere quello successivo, oppure il primo vuoto dell'array, oppure un indirizzo casuale.\n \n > Python, nei `dict`, usa indirizzamento aperto pseudorandom.\n \n ### Costo computazionale\n \n - Aggiungere una chiave: `O(n)`\n - Trovare una chiave: `O(n)`\n - Eliminare una chiave: `O(n)`\n ")),n(a.a,null,n(o.a,null,"\n # Programmazione dinamica\n \n La _programmazione dinamica_ è una **tecnica** di programmazione che prevede l'**estensione di una soluzione ottima precedente**.\n \n Tutti i problemi in cui si può applicare si possono risolvere anche con la **ricorsione**, ma a differenza della ricorsione, questa tecnica riesce ad evitare di ricalcolare la soluzione per ogni chiamata ricorsiva, ottenendo quindi tempi molto migliori.\n \n Si può applicare solo se un problema ha una **sottostruttura ottimale**, ovvero se la soluzione ottima di un sottoproblema è inclusa nella soluzione ottima del problema. \n \n ## Esempi\n \n - _Problema dello zaino_\n - ...\n \n > Il cammino minimo per raggiungere un nodo in un DAG è dato da `arco.costo + arco.primo_nodo.costo_cammino_minimo()`.\n >\n > ```python\n > def SPD_PD(graph, start):\n > distance = [float(inf) for node in graph.nodes]:\n > distance[start] = 0\n > # I nodi devono essere in ordine di linearizzazione\n > for node in graph.nodes:\n > distance[node] = min([(arc.cost + distance[arc.other(node)] for arc in node.connections])\n > ```\n \n > Ho una sequenza di interi da `a_1` a `a_n`. Voglio trovare la sottosequenza crescente più lunga.\n >\n > 5 2 3 4 7 3 6 3 1 6\n >\n > Trovo tutte le sequenze lunghe 1, e le rendo nodi di un grafo diretto.\n >\n > Da ogni nodo, creo una connessione verso i suoi maggiori.\n >\n > Infine, cerco i cammini massimi del grafo. \n > \n > Essi saranno la soluzione del problema.\n \n > Trova la lunghezza della sottosequenza più lunga che termina con `j`.\n >\n > `L[j]` = lunghezza della sottosequenza più lunga che termina in `j`\n > \n > ```python\n > L[j] = max([1 + L[node] for arc in node.connections)]\n > ```\n >\n > Esempio:\n > ```python\n > L[9] = max([1+L[8], 1+L[3], 1+L[6]])\n > ```\n ")),n(a.a,null,n(o.a,null,"\n # Problema dello zaino\n \n Il problema dello zaino è un problema _pseudo-trattabile_: non abbiamo dimostrazioni di se sia trattabile o intrattabile.\n \n ## Descrizione\n \n > Sei un ladro, e devi mettere **più refurtiva possibile** nello zaino per scappare. \n > Lo zaino può portare **al massimo `dim` kili**.\n >\n > **Quali** (e quanti) oggetti scegli?\n \n | Input | Output |\n |-------|--------|\n | `dim`ensione_zaino, `n`umero_oggetti, `oggetto.peso`, `oggetto.valore` | `profitto_massimo` |\n \n ## Categorie\n \n ### Problema con ripetizione\n \n Puoi prendere **tutte le copie che vuoi** di un oggetto.\n \n #### Soluzione\n \n `K(dim)` è il valore massimo ottenibile con uno zaino di capacità `dim`.\n \n > Se `i` appartenesse alla soluzione ottima, allora `K(dim) = i.valore + K(dim - i.peso)`...\n \n Possiamo dire che `K(dim) = max(i.valore + K(dim - i.peso))`.\n \n Inoltre, `K(0) = 0`.\n \n Ci salviamo tutte le soluzioni da `K(0)` a `K(dim)`, e le usiamo per calcolare il massimo in seguito.\n \n Calcolare `K(dim)` avrà allora un costo di `O(n * dim)`:\n - `n`, perchè trovare il massimo è un'operazione lineare\n - `dim`, perchè `dim` sono tutti i casi tra i quali devo andare a provare\n \n Il costo computazionale, allora, è in `O(n * dim)`. \n \n Però, il **tempo richiesto** dal nostro algoritmo dipende non dalla lunghezza dell'input, bensì dal **valore numerico** di `dim`, che corrisponde alla dimensione dell'array delle soluzioni. \n Allora, si dice che l'algoritmo è in **tempo _pseudo-polinomiale_**.\n \n ### Problema senza ripetizione\n \n Si può prendere **ogni oggetto una volta sola**.\n \n #### Soluzione _bruteforce_\n \n Scelgo se prendere o no l'item 1.\n \n Si creano due percorsi:\n - Non prendo l'oggetto: `valore = 0, peso = 0`\n - Prendo l'oggetto: `valore = oggetto.valore, peso = oggetto.peso`\n \n Continuo a creare percorsi, creando una specie di albero binario.\n \n Se a un certo punto vedo che `valore = x, peso = K` e `valore < x, peso = K`, allora posso escludere automaticamente tutto il sottoalbero destro, perchè non può essere migliore del sinistro: allora, sarò riuscito a ridurre il numero dei casi rispetto alla ricorsione.\n \n ### Problema in due variabili\n \n `K(j, w)` = massimo valore ottenibile con uno zaino di capacità `w` scegliendo gli item da `1` a `j`.\n \n Non possiamo più applicare la soluzione bruteforce, perchè abbiamo due variabili, `j` e `w`.\n \n Allora, prendo l'elemento `j`. Esso può essere o non essere nella soluzione: mi calcolo entrambe le alternative, e mi tengo l'alternativa dal valore più alto.\n \n Se `j` non è nella soluzione, il risultato diventerà `K(j-1, w)`; se invece è nella soluzione, il risultato sarà `j.valore + K(j-1, w-j.peso)`.\n \n In pratica, prendiamo\n \n ```latex\n K(j, w) = max\n \\begin{cases}\n V_j + K(j-1, w-w_j)\n K(j-1, w)\n \\end{cases}\n ```\n \n Costruisco allora una matrice con `j` su un asse e `w` sull'altro. \n Riempio le caselle con il valore di `K(j, w)`. \n Nella casella con `K(j, w)` avremo la soluzione ottima.\n \n Il tempo necessario per riempire tutte le caselle è nuovamente `O(n * w)`, ancora **pseudopolinomiale**.\n \n Per sapere che oggetti ho messo o no devo tenere traccia in qualche modo della catena del calcolo, usando, ad esempio, una pila.\n ")),n(a.a,null,n(o.a,null,"\n # Problemi intrattabili\n \n ## Problema di Set-Cover\n \n ### Input\n \n `U`niverso di `e`lementi\n \n `S`ottoinsieme di `s`ottoinsiemi di elementi di `U`\n \n ### Output\n \n Il minimo `S'`ottoinsieme di `s`ottoinsiemi che copra completamente `U`.\n \n ### Soluzione in `O(n^d)`\n \n Non c'è.\n \n ### Non-soluzione alternativa\n \n Faccio una scelta greedy, ma non posso dimostrare in alcun modo che la soluzione ottenuta sia quella ottima. \n Infatti, l'algoritmo non dà sempre la soluzione ottima, ma dà una soluzione accettabile in tempo polinomiale.\n \n Seleziono sempre il sottoinsieme che copre più elementi mancanti possibili.\n \n #### Costo computazionale\n \n `Costo greedy <= log(numero_elementi) * Costo ottimo`\n ")))}}.call(this,i("hosL").h)},wQ73:function(n,e,i){"use strict";var o=i("hosL");e.a=Object(o.createContext)(!0)},yDBo:function(n,e,i){"use strict";(function(n){var o=i("Q7TX");e.a=function(e){return n(o.b,{inline:!0,display:o.a.INLINE},e.children)}}).call(this,i("hosL").h)}}]); +//# sourceMappingURL=route-AlgoritmiEStruttureDati.chunk.0aeb3.esm.js.map \ No newline at end of file diff --git a/docs/route-AlgoritmiEStruttureDati.chunk.92b93.esm.js.map b/docs/route-AlgoritmiEStruttureDati.chunk.0aeb3.esm.js.map similarity index 51% rename from docs/route-AlgoritmiEStruttureDati.chunk.92b93.esm.js.map rename to docs/route-AlgoritmiEStruttureDati.chunk.0aeb3.esm.js.map index 1404a03..96789e9 100644 --- a/docs/route-AlgoritmiEStruttureDati.chunk.92b93.esm.js.map +++ b/docs/route-AlgoritmiEStruttureDati.chunk.0aeb3.esm.js.map @@ -1 +1 @@ -{"version":3,"sources":[],"names":[],"mappings":"","file":"route-AlgoritmiEStruttureDati.chunk.92b93.esm.js","sourceRoot":""} \ No newline at end of file +{"version":3,"sources":[],"names":[],"mappings":"","file":"route-AlgoritmiEStruttureDati.chunk.0aeb3.esm.js","sourceRoot":""} \ No newline at end of file diff --git a/docs/route-AlgoritmiEStruttureDati.chunk.2f7f3.css b/docs/route-AlgoritmiEStruttureDati.chunk.2f7f3.css new file mode 100644 index 0000000..c32f332 --- /dev/null +++ b/docs/route-AlgoritmiEStruttureDati.chunk.2f7f3.css @@ -0,0 +1 @@ +.inline__1yl8V{display:inline-block;vertical-align:middle}.block__fPiiB{display:block} \ No newline at end of file diff --git a/docs/route-AlgoritmiEStruttureDati.chunk.65c03.js b/docs/route-AlgoritmiEStruttureDati.chunk.65c03.js deleted file mode 100644 index c4d2b69..0000000 --- a/docs/route-AlgoritmiEStruttureDati.chunk.65c03.js +++ /dev/null @@ -1,2 +0,0 @@ -(window.webpackJsonp=window.webpackJsonp||[]).push([[4],{"ox/y":function(n,e,i){"use strict";function o(n,e){if(!n)throw new ReferenceError("this hasn't been initialised - super() hasn't been called");return!e||"object"!=typeof e&&"function"!=typeof e?n:e}Object.defineProperty(e,"__esModule",{value:!0}),e.Link=e.Match=void 0;var a=Object.assign||function(n){for(var e=1;e>>0,1)},e.prototype.render=function(n){var e=this.nextUrl||(0,t.getCurrentUrl)(),i=e.replace(/\?.+$/,"");return this.nextUrl=null,n.children({url:e,path:i,matches:!1!==(0,t.exec)(i,n.path,{})})},e}(r.Component),s=function(n){var e=n.activeClassName,i=n.path,o=function(n,e){var i={};for(var o in n)e.indexOf(o)>=0||Object.prototype.hasOwnProperty.call(n,o)&&(i[o]=n[o]);return i}(n,["activeClassName","path"]);return(0,r.h)(l,{path:i||o.href},(function(n){return(0,r.h)(t.Link,a({},o,{class:[o.class||o.className,n.matches&&e].filter(Boolean).join(" ")}))}))};e.Link=s,e.default=l,l.Link=s},w9qZ:function(n,e,i){"use strict";i.r(e),function(n){function o(){var n=function(n,e){e||(e=n.slice(0));return n.raw=e,n}(["\n # Algoritmi e Strutture Dati\n\n Docente: [**Manuela Montangero**](mailto:manuela.montangero@unimore.it)\n\n Crediti: **9 CFU** (72 ore di lezione)\n\n Orario di ricevimento: **Giovedì dalle 14:30 alle 16:30**\n _Mandare una mail prima, altrimenti potrebbe andarsene_\n\n\n #### Regole particolari per le email\n\n - Oggetto \"ASD\"\n - Mail **firmata** con **nome e cognome**\n - Mail spedita dall'**account Unimore**\n\n ### Materiale\n\n Libri:\n - **Introduzione agli Algoritmi e Strutture Dati** di _T.H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein_\n\n **[Dolly (FIM)](https://dolly.fim.unimore.it/2018/course/view.php?id=26)**\n\n ### Tutorato\n\n Tutor: [**Gianluca d'Addese**](mailto:tutoratoalgoritmi@gmail.com)\n\n Cosa: **Esercizi sugli argomenti visti a lezione** e **preparatori all'esame**\n\n Quando: **Mercoledì dalle 09:00 alle 11:00**...?\n\n ### Esame\n\n Per iscriversi all'esame, bisogna aver passato:\n\n - Analisi matematica (propedeutica)\n - Programmazione I\n\n Formato:\n\n - Prima prova scritta\n - Risolvere problemi con algoritmi proposti a lezione\n - E' un test sulla preparazione\n - Dura 1h30m\n - Non si può usare nessun tipo di materiale\n - Seconda prova scritta\n - Proponi soluzioni per nuovi problemi non studiati a lezione\n - Domande teoriche sugli argomenti studiati\n - Dura 2h\n - E' il giorno dopo la prima prova\n - Si può utilizzare qualsiasi materiale, ma non deve permettere di comunicare\n - Orale facoltativo\n - Solo per chi supera entrambi gli scritti\n - Domande su quello che abbiamo visto a lezione (\"perchè gli algoritmi funzionano?\")\n - Informare via email entro 3 giorni dalla pubblicazione degli esiti della seconda prova\n - L'orale potrebbe migliorare o peggiorare il voto (anche \"molto\")\n\n **Attenzione:** Vengono verbalizzati anche i voti insufficienti; ricordarsi di rifiutarli!\n\n Ci sono i seguenti appelli:\n\n - 3 appelli tra Giugno e Luglio\n - 1 appello a Settembre\n - 2 appelli a Gennaio e Febbraio\n\n Vale il salto di appello se:\n\n - Uno studente regolarmente iscritto **non si presenta** all'appello e non ha avvisato via email almeno il giorno prima.\n - Uno studente ha riportato una **grave insufficienza** in uno dei due scritti, e l'appello successivo è nella stessa sessione\n\n\n ### Note\n\n Il corso è ben collegato con quello di Programmazione 2.\n\n Dormire non fa bene!\n "]);return o=function(){return n},n}var a=i("sJH0"),r=i("imVn"),t=(i("ox/y"),String.raw);e.default=function(){return n("div",null,n(r.a,null,n(a.a,null,t(o()))),n(r.a,null,n(a.a,null,"\n # Il nome del corso\n\n ## Cosa sono gli algoritmi?\n\n Gli algoritmi sono modi sistematici per risolvere problemi.\n\n Sono fondamentali per sviluppare software, in quanto i computer sono eccellenti esecutori di algoritmi.\n\n ## Come si sviluppa un algoritmo?\n\n Innanzitutto, bisogna conoscere gli _input_ e gli _output_ del problema, rispettivamente i dati di partenza e i dati di arrivo di esso; si ha quindi una fase di **ricerca**.\n\n Poi, si deve trovare un procedimento che ci faccia risolvere il nostro problema: è quello che faremo in questa materia!\n\n Infine, bisogna scrivere la soluzione in un modo che possa essere eseguita da un computer: questa è la **programmazione**.\n\n ## Che tipo di problemi possiamo risolvere?\n\n Un algoritmo risolve problemi di tipo generale, non ci interessa sapere _il risultato di 123+456_, ma vogliamo sapere _il risultato di x+y_, dove x e y sono due numeri naturali qualsiasi.\n\n Un problema può essere quindi considerato circa come una **funzione matematica**, che connette ogni input a un output corrispondente.\n\n ## Che caratteristiche ha un algoritmo?\n\n Per prima cosa, ripetendo l'algoritmo più volte con lo stesso ingresso deve dare sempre la stessa uscita come **risultato**, finendo in un **tempo finito**.\n\n Deve essere **ben ordinato**: cambiando l'ordine in cui vengono effettuate le operazioni, è probabile che anche il risultato cambi!\n\n Le sue istruzioni devono essere **non ambigue**, cioè che non possano essere interpretate in più modi, e **effettivamente realizzabili**, cioè realizzabili con l'esecutore che vogliamo usare per eseguire l'algoritmo.\n\n ## Esistono algoritmi equivalenti?\n\n **Sì!** Possono esserci due algoritmi che dati gli stessi input, hanno gli stessi output, e quindi risolvono lo stesso problema.\n\n In compenso, possono avere un numero di operazioni diverse, e quindi essere **uno più veloce** (da eseguire) dell'altro.\n\n ## Come si verifica la correttezza di un algoritmo?\n\n L'algoritmo deve essere **valido per tutti gli input**, anche se questi sono infiniti.\n\n Possiamo effettuare prove matematiche per verificarne la correttezza; il **principio di induzione** è dunque una dei teoremi fondamentali dell'algoritmica.\n\n Possiamo però verificare la _non correttezza_ di un algoritmo trovando un singolo controesempio.\n ")),n(r.a,null,n(a.a,null,"\n # Efficienza degli algoritmi\n \n Un buon algoritmo deve essere **efficiente**, ovvero deve usare il minimo delle risorse necessarie, come _usare il minimo di tempo possibile_.\n \n ## Come misuriamo il tempo necessario?\n \n Cerchiamo di astrarre il tempo dal particolare esecutore, e andiamo a contare il numero di operazioni elementari richieste per eseguire il nostro algoritmo nel caso peggiore.\n \n Un algoritmo efficiente, infatti, all'aumentare dei dati in ingresso, diventerà sempre più veloce rispetto a uno non efficiente, anche su computer più lenti!\n \n > Il [Bubble Sort](https://en.wikipedia.org/wiki/Bubble_sort) è sempre più lento di un [Tree Sort](https://en.wikipedia.org/wiki/Tree_sort), anche su computer più lenti, perchè, dovendo ordinare liste sempre più lunghe, prima o poi si raggiunge un punto in cui il primo è più veloce (in termini di tempo) dell'altro.\n \n Dobbiamo andare a vedere, quindi, _il numero di operazioni richieste per ottenere il risultato nel caso peggiore_.\n \n Consideriamo operazioni sia operazioni aritmetiche sia operazioni logiche, e diciamo che ciascuna costa 1.\n \n > L'[algoritmo di Euclide](https://it.wikipedia.org/wiki/Algoritmo_di_Euclide) per l'MCD costa `3` per ogni iterazione (un giro del ciclo `while`). Diciamo, allora, che costa `3n`, dove `n` è il numero più alto dei due, perchè nel caso peggiore (uno dei due numeri è 1) l'algoritmo compie `n` iterazioni.\n \n ## Altri parametri ottimizzabili\n \n È possibile che alcuni algoritmi per vari motivi cerchino di ottimizzare altri parametri diversi dal tempo, come ad esempio _la dimensione dell'input_ o la _memoria utilizzata_. \n \n > Generalmente, questo viene fatto sui dispositivi embedded, con memoria molto limitata.\n \n ### Criteri di costo di memoria\n \n Ci sono vari criteri con cui stimare la memoria richiesta da un dato: è possibile che il costo risultante vari in base al criterio scelto!\n \n #### Criterio di costo logaritmico\n \n Un dato costa il numero di bit necessari per rappresentarlo.\n \n > Un int che contiene il numero `n` costa `log_2(n)`. \n > Un array di `[n]` numeri tutti uguali costa `n log_2(n)`.\n \n #### Criterio di costo uniforme\n \n Un dato costa il numero di elementi che lo costituiscono.\n \n > Un int che contiene il numero `n` costa `1`. \n > Un array di `[n]` numeri costa `n`. \n > Una matrice `[m][n]` costa `m*n`.\n ")),n(r.a,null,n(a.a,null,"\n # Modelli algoritmici\n\n Per progettare un algoritmo, abbiamo bisogno di sapere le proprietà del nostro esecutore, ovvero il suo _modello algoritmico_.\n \n > Ad esempio, dobbiamo sapere quali istruzioni è in grado di eseguire, e quanto tempo queste istruzioni richiedono.\n \n ## Il modello RAM\n \n Il modello in uso su tutti i computer attuali è il _modello RAM_: \n \n - In ogni cella di memoria può essere archiviato un dato.\n - Il **tempo di accesso** alle celle è **costante** per tutte le celle.\n - La **memoria** principale è **infinita**.\n - Si ha **un solo processore**.\n ")),n(r.a,null,n(a.a,null,'\n # Notazione asintotica\n \n La _notazione asintotica_ è un sistema per **stimare** velocemente il costo di un algoritmo complesso.\n \n Ci permette di **confrontare velocemente il caso peggiore** degli algoritmi.\n \n In particolare, consideriamo il _rapporto tra il numero di operazioni nel caso peggiore e la dimensione dell\'input_.\n \n ## Limiti\n \n Possiamo dare a questa stima dei limiti, superiore e inferiore, che rappresenteranno rispettivamente un costo che non sarà **mai superato** e un costo che verrà **sempre superato**.\n \n Chiameremo questi limiti _upper bound_ e _lower bound_; la loro combinazione darà un _tight bound_.\n \n L\'obiettivo sarà di _ricavare i bound più precisi possibile_ per un dato algoritmo, ovvero l\'**upper bound più basso** e il **lower bound più alto**.\n \n ### O grande\n \n > "O grande" \n > O di g(n)\n > "big-O"\n \n Per rappresentare la stima, useremo una notazione particolare, detta _O grande_, con la seguente proprietà:\n - Date due funzioni `f(n) : N -> R` e `g(n) : N -> R`, diremo che `f(n) ∈ O(g(n))` se e soltanto se `∃ c > 0, n ≥ n_0` tali che `∀ n ≥ 0, f(n) ≤ c * g(n)`\n \n Quando una funzione è O grande di un altra, significa che **asintoticamente, la funzione in O grande è sempre maggiore di quella che sta venendo stimata**.\n \n > **Ipotesi** \n > - `f(n) = 2n² + 3n + 6` \n > - `g(n) = n²`\n >\n > **Tesi** \n > - `f(n) ∈ O(n²)`.\n >\n > **Svolgimento** \n > Scrivo una disequazione, lasciando intatto il termine noto: \n > 1. `2n² + 3n + 6 ≤ 2n² + 3n² + 6` \n > 2. `n² ≤ 2n² + 3n² + n² = 6n²` per `n ≥ 3`\n >\n > Sappiamo, allora, che `2n² + 3n + 6 ≤ 6n²`.\n \n #### Espressioni di O grande\n \n Questa tabella rappresenta le espressioni di O grande più comunemente utilizzate, in ordine **dalla più forte alla più debole**.\n \n > Più forte significa che, per ogni riga della tabella, tutte le righe sottostanti sono contenute nell\'espressione.\n >\n > Ad esempio, `O(n) ∈ O(1)`.\n \n | Espressione O() | Nome |\n |-----------------|------|\n | `O(1)` | Costante |\n | `O(log log n)` | loglog |\n | `O(log n)` | Logaritmica |\n | ![LaTeX](https://latex.codecogs.com/png.latex?O(n^{1/c})) (per c ≥ 1) | Sublineare |\n | `O(n)` | Lineare |\n | `O(n log n)` | nlogn |\n | `O(n²)` | Quadratica |\n | `O(n³)` | Cubica |\n | `O(n^k)` (per k ≥ 1) | Polinomiale |\n | `O(a^n)` (per a ≥ 1) | Esponenziale |\n | `O(n!)` | Fattoriale |\n \n #### Polinomiale\n \n Molto spesso, noteremo che il tempo richiesto da una funzione è O grande di un polinomio di grado K, ovvero `f(n) ∈ O(n^k)`.\n \n Notiamo che in questi casi, possiamo semplificare l\'O grande al grado massimo del polinomio.\n \n > Ad esempio, `O(n² + n + 1) = O(n²)`.\n \n ##### Dimostrazione\n \n Per `n > 0 \\and 0 ≤ i ≤ k`: \n ![LaTeX](https://latex.codecogs.com/png.latex?a_k%20n^k%20+%20a_{k-1}%20n^{k-1}%20+%20%E2%80%A6%20+%20a_1%20n%20+%20a_0%20%E2%89%A4%20|a_k|%20n^k%20+%20|a_{k-1}|%20n^k%20+%20%E2%80%A6%20+%20|a_1|%20n^k%20+%20|a_0|%20n^k%20=%20(|a_k|%20+%20|a_{k-1}|%20+%20%E2%80%A6%20+%20|a_1|%20+%20|a_0|)%20n^k)\n \n #### Proprietà di O grande\n \n 1. `f(n) ∈ O(g(n)) -> ∀ a > 0, a * f(n) ∈ O(g(n))`.\n 2. `f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) + d(n) ∈ O(g(n) + h(n)) -> O(max\\{g(n), h(n)\\})`\n 3. `f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) * d(n) ∈ O(g(n) * h(n))`\n \n In pratica, se una funzione è la _somma di più termini_, basta guardare l\'**`O()` più grande** tra tutti i suoi termini; se invece una funzione è un _prodotto di più termini_, si possono **omettere le costanti**, e l\'`O()` finale sarà dato dal **prodotto degli `O()`** dei termini.\n \n ## Lower bound\n \n Possiamo anche stimare il _lower bound_, il limite inferiore: il **numero minimo di operazioni** che viene effettuato **nel caso migliore** con la **massima dimensione dell\'ingresso**.\n \n ### Ω()\n \n > "Omega" \n > Omega di g(n)\n > "big-Omega"\n \n Esiste un equivalente di O grande per il lower bound: è detto _Omega grande_, o più semplicemente _Omega_, e funziona nello stesso identico modo, solo... al contrario.\n \n Diremo che `f(n) ∈ Ω(g(n))` se e solo se `∃ c > 0, n_0 ≥ 0 : ∀ n ≥ n_0 f(n) ≥ c * g(n)`.\n \n #### Espressioni di Ω()\n \n Anche in questa tabella le espressioni sono **dalla più forte alla più debole**.\n \n | Espressione Ω() | Nome |\n |-----------------|------|\n | `Ω(n!)` | Fattoriale |\n | `Ω(a^n)` (per a ≥ 1) | Esponenziale |\n | `Ω(n^k)` (per k ≥ 1) | Polinomiale |\n | `Ω(n³)` | Cubica |\n | `Ω(n²)` | Quadratica |\n | `Ω(n log n)` | nlogn |\n | `Ω(n)` | Lineare |\n | ![LaTeX](https://latex.codecogs.com/png.latex?\\Omega(n^{1/c})) (per c ≥ 1) | Sublineare |\n | `Ω(log n)` | Logaritmica |\n | `Ω(log log n)` | loglog |\n | `Ω(1)` | Costante |\n \n ## Tight bound\n \n Quando **upper e lower bound coincidono**, allora otteniamo un _tight bound_.\n \n ### θ()\n \n > "Theta" \n > Theta di g(n)\n > "big-Theta"\n \n Anche per il tight bound abbiamo una notazione equivalente a O grande e Omega grande: _Theta grande_!\n \n Diciamo che `f(n) ∈ θ(g(n))` se e solo se `∃ c_1, c_2 > 0, n_0 ≥ 0 : ∀ n ≥ n_0, c_1 * g(n) ≤ f(n) ≤ c_2 * g(n)`.\n \n Ha la particolarità che non valgono tutte le proprietà degli altri due: va usata quindi con cautela!\n \n ## Risorse utili\n \n [khanacademy.org](https://www.khanacademy.org/computing/computer-science/algorithms/asymptotic-notation/a/big-big-theta-notation)\n ')),n(r.a,null,n(a.a,null,"\n # Problemi algoritmici\n \n Un _problema algoritmico_ è un problema matematico che si vuole provare a risolvere con un algoritmo.\n \n > Dati 10 numeri, voglio sapere se sono in ordine crescente oppure no.\n \n ## Caterigorizzazione\n \n I problemi algoritmici si dividono in tre categorie: problemi _trattabili_, problemi _intrattabili_ e problemi _irrisolvibili_.\n \n ### Problema trattabile\n \n Perchè un problema algoritmico sia _trattabile_, deve avere **almeno un algoritmo con upper bound polinomiale**.\n \n > Questo significa che il tempo impiegato da un computer per risolvere il problema rimane ragionevole, e che quindi può essere utilizzato in maniera efficiente.\n \n La trattabilità è un campo ancora parecchio aperto: esistono anche tanti problemi di cui non si è ancora dimostrata la trattabilità o intrattabilità.\n \n > La [fattorizzazione](https://it.wikipedia.org/wiki/Fattorizzazione) è uno di questi problemi: l'assenza di una dimostrazione è ciò che la rende uno dei pilastri della sicurezza informatica moderna.\n \n ### Problema intrattabile\n \n Se **un problema non ha nessun algoritmo con upper bound polinomiale**, allora si dice che è **intrattabile**.\n \n ### Problema irrisolvibile\n \n Se **non esistono algoritmi per risolvere un problema**, allora questo si dice **irrisolvibile**.\n \n > [Dato un algoritmo con certi input, riusciamo a capire con un algoritmo se la sua esecuzione termina o no?](https://en.wikipedia.org/wiki/Halting_problem)\n \n ### Upper e lower bound di problemi\n \n Si può anche trovare un _upper bound_ e un _lower bound_ per un problema, ma bisogna generalizzare di più.\n \n L'**upper bound di un problema** è il minimo upper bound di tutti gli algoritmi che lo risolvono; deve esistere almeno un algoritmo che lo risolva che abbia lo stesso _upper bound_. E' praticamente il tempo migliore per risolvere il problema dato.\n \n Il **lower bound di un problema** è il minimo lower bound di tutti gli algoritmi che lo risolvono; non deve esistere nemmeno un algoritmo che abbia un lower bound migliore. E' il numero assolutamente minimo di operazioni richieste, non si può fare meglio di così.\n \n In particolare, abbiamo che l'_upper bound di un algoritmo_ -> l'_upper bound del suo problema_, \n e il _lower bound di un problema_ -> il _lower bound di un suo algoritmo_.\n \n Generalmente, il _lower bound di un problema_ è una rappresentazione abbastanza accurata della sua difficoltà.\n ")),n(r.a,null,n(a.a,null,"\n # Ricerca binaria\n \n Non credo di aver bisogno di studiare la ricerca binaria, quindi non ho preso appunti a riguardo.\n \n Se non siete me, e state cercando informazioni a riguardo, andate a vedere su Wikipedia!\n ")),n(r.a,null,n(a.a,null,"\n # Divide et impera\n \n Un modo efficace per risolvere un problema è di usare il metodo _divide et impera (et combina)_.\n \n - _Divide_: Divido il problema in **tanti sottoproblemi**.\n - _Impera_: **Risolvo indipendentemente dal resto** ciascuno dei sottoproblemi.\n - _Combina_: **Combino** i risultati dei sottoproblemi per **risolvere il problema principale**.\n \n ## Ricorsione\n \n Un algoritmo (o funzione) si dice _ricorsivo_ quando durante l'esecuzione **richiama sè stesso**.\n \n Dato che tutti gli algoritmi devono avere termine entro un tempo finito, se scriviamo una funzione ricorsiva è fondamentale finire con un **caso base**, che non chiami ulteriormente la ricorsione.\n \n Se esiste una funzione ricorsiva, allora esiste _sempre_ una _funzione iterativa_ che darà lo stesso risultato.\n \n > Sul pratico, una funzione ricorsiva tipicamente è **più costosa** del suo equivalente iterativo: se possibile, quindi, la ricorsione andrebbe evitata.\n \n #### Pseudocodice di esempio\n \n ```python\n def fattoriale(n):\n # Caso base; la ricorsione finisce e dà un risultato fisso\n if n <= 1:\n return 1\n # Caso ricorsivo; la funzione restituisce il risultato di sè stessa (ma con parametri diversi)\n else:\n return n * fattoriale(n - 1)\n ```\n ")),n(r.a,null,n(a.a,null,"\n # Master Theorem\n \n Il _Master Theorem_ è uno dei teoremi più importanti dell'algoritmica.\n \n Esso permette di **calcolare l'upper bound di un algoritmo ricorsivo** in modo piuttosto semplice.\n \n ## Ipotesi\n \n Dato un algoritmo:\n - Con uno o più casi base\n - Che richiama la funzione ricorsiva un numero n di volte\n \n ## Tesi\n \n Allora, il suo upper bound avrà la formula:\n \n ![](https://quicklatex.com/cache3/89/ql_08d29a7e55d561a900570bc83b93ff89_l3.png)\n ")),n(r.a,null,n(a.a,null,"\n # Caso particolare del Master Theorem\n \n ## Ipotesi\n \n Se: \n ![](https://quicklatex.com/cache3/57/ql_e34dc27b42831d3c3ff671b0f3861257_l3.png)\n \n Ovvero, se la dimensione dell'input viene divisa ad ogni ciclo da una costante b, è polinomiale e il caso base è costante...\n \n ## Tesi\n \n Allora: \n ![](https://quicklatex.com/cache3/ca/ql_26e3557a6ca2d6ac4b8481e7c5263fca_l3.png)\n \n > In pratica, se il costo dominante è quello della parte \"fissa\" dell'algoritmo, esso sarà `O(n^d)`, mentre se il costo dominante è quello delle chiamate ricorsive, esso sarà `O(n^{log_b e})`. \n > Se nessuno dei due è dominante... si dividono circa in parti uguali, creando un costo di `O(n^d log n)`.\n ")),n(r.a,null,n(a.a,null,"\n # Ordinamento\n \n Un problema molto frequente nell'informatica consiste nell'**ordinare efficientemente grandi quantità di elementi**.\n \n Esistono [tantissimi](https://it.wikipedia.org/wiki/Algoritmo_di_ordinamento) algoritmi per effettuare l'ordinamento. \n L'**efficienza** di ciascuno **varia** di caso in caso: alcuni sono estremamente efficienti se quasi tutti i numeri sono già nell'ordine giusto; altri, invece, potrebbero impiegare tantissimo tempo.\n \n In termini matematici, abbiamo:\n \n - **Input:** A[n]\n - **Output:** B, ∀ i < n, A[i] ≤ A[i+1]\n \n ## Ordinamento tramite confronto\n \n L'ordinamento \"tradizionale\" è detto _ordinamento tramite confronto_: funziona sempre, e **non ha altri modi di ottenere informazioni** se non con l'operazione logica di confronto tra i dati.\n \n ### Limiti\n \n E' un problema risolto: è dimostrabile che il suo **lower bound** è **`Ω(n log n)`**; possiamo quindi dire che qualsiasi algoritmo di ordinamento è in `Ω(n log n)`, e se riusciamo a trovare un algoritmo di ordinamento in `O(n log n)` siamo riusciti a raggiungere il massimo dell'efficienza.\n \n #### Dimostrazione\n \n Consideriamo **tutte le possibili permutazioni** della sequenza da ordinare: sono `n!`.\n \n Per ogni confronto che effettuiamo, **riduciamo la quantità di permutazioni** correttamente ordinate; prima o poi, rimarrà **una sola possibilità**.\n \n **TODO, non trovo la spiegazione corretta!**\n \n ### Esempi\n \n Algoritmi che effettuano l'ordinamento tramite confronto sono:\n - _Bubble sort_\n - _Merge sort_\n - _Insertion sort_\n - _Quick sort_\n - _Heap sort_\n - E tanti, tanti altri!\n \n ## Ordinamento con altri mezzi\n \n Esistono algoritmi che ricavano informazioni in altri modi, diversi dal confronto.\n \n Essi possono avere un lower bound più basso di `O(n log n)`, però hanno spesso limitazioni sul loro utilizzo.\n \n ### Esempi\n \n - _Counting sort_, indicizza i valori da ordinare\n - _Radix sort_, guarda singolarmente le cifre dei valori\n - _Sleep sort_, sfrutta i thread e la funzione sleep per ordinare valori\n - E altri ancora!\n ")),n(r.a,null,n(a.a,null,"\n # Insertion sort\n \n L'_insertion sort_ è una soluzione **iterativa** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Considero la sequenza divisa in **due parti**: una parte **ordinata** e una parte **non ordinata**.\n \n Parto dal primo elemento della lista: è sempre ordinato con sè stesso. \n Poi, aggiungo uno alla volta i numeri della parte non ordinata a quella ordinata; prima trovo in quale posizione dovrò andare a mettere il numero, poi **faccio slittare tutti i numeri dopo quella posizione** avanti di 1, in modo da **creare lo spazio** in cui infine **inserirò** il numero.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n²)` | `Ω(n)` | - |\n \n Nel _caso migliore_ (**lista già ordinata**), il numero da inserire è già nella posizione giusta, quindi non devo effettuare altri confronti oltre il primo, rendendo il lower bound dell'algoritmo `Ω(n)`.\n \n Nel _caso peggiore_ (**lista nell'ordine inverso**), dobbiamo confrontare il numero da inserire con tutti gli altri nella parte ordinata: dobbiamo allora eseguire `1+2+3+4+5+… = \\frac{(n-1)(n)}{2}` confronti; ciò significa che l'upper bound è `O(n²)`!\n \n ## Pseudocodice\n \n ```python\n def insertion_sorted(lista):\n # Itero su tutti i numeri della lista, dal primo all'ultimo.\n for divisore_ord in range(len(lista)):\n # Partendo dalla posizione attuale, creo l'indice di divisione numeri ordinati maggiori e minori\n divisore_magg = divisore_ord\n # Faccio slittare avanti i numeri maggiori di quello che stiamo inserendo\n # Se l'indice divisore_magg raggiunge 0, vuol dire che tutti i numeri della lista sono maggiori del numero attuale \n while divisore_magg >= 0 and lista[divisore_magg-1] > lista[divisore_magg]:\n # Scambio la posizione dei due elementi con gli indici specificati\n # Funzione inventata \n lista[divisore_magg], lista[divisore_magg-1] = lista[divisore_magg-1], lista[divisore_magg]\n # Diminuisco il separatore di 1\n divisore_magg -= 1\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting)\n ")),n(r.a,null,n(a.a,null,"\n # Merge sort\n \n Il _merge sort_ è una soluzione **ricorsiva** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Per questo algoritmo, utilizziamo la tecnica del **divide et impera**.\n \n 1. _Divide_: Divido A in **due parti**.\n 2. _Impera_: Metto **separatamente in ordine** le parti.\n 3. _Unisci_: **Unisco** le due parti.\n \n Consideriamo come **caso base** della ricorsione una parte composta da un numero, che ovviamente è già ordinata con sè stessa.\n \n ### Merge\n \n Per **unire le due parti** usiamo una funzione detta `merge()`.\n \n Costruiamo una nuova sequenza uguale alla sequenza 1, ma **aggiungiamo alla fine un valore sentinella** sempre maggiore di tutti gli elementi contenuti.\n \n > ```\n > | 1 | 3 | 7 | 8 | ∞ |\n > ```\n \n Facciamo **la stessa cosa** per la sequenza due.\n \n > ```\n > | 2 | 4 | 5 | 6 | ∞ |\n > ```\n \n Prendo i primi numeri delle due sequenze e **metto il più piccolo nella sequenza iniziale**.\n \n > ```\n > | 1 | 2 | 3 | | | | | | \n > | | | 7 | 8 | ∞ | \n > | | 4 | 5 | 6 | ∞ | \n > ```\n \n **Continuo** finchè non ho messo tutti i numeri; **grazie alla sentinella non usciremo mai dalla sequenza**, in quanto essa è sempre maggiore di tutti gli altri numeri.\n \n > ```\n > | 1 | 2 | 3 | 4 | 5 | 6 | | | \n > | | | 7 | 8 | ∞ | \n > | | | | | ∞ |\n > ```\n \n Quando **rimangono solo le sentinelle** significa che abbiamo aggiunto tutti gli elementi, e quindi abbiamo finito.\n \n > ```\n > | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | \n > | | | | | ∞ | \n > | | | | | ∞ | \n > ```\n \n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n log n)` | `Ω(n log n)` | **`θ(n log n)`** |\n \n Il merge sort è un algoritmo ricorsivo con un **caso base in tempo costante** e che **richiama sè stesso 2 volte**.\n \n ```latex\n T(n) =\\\\\n \\\\\n Θ(1) \\qquad n=1\\\\\n 2 T(\\frac{n}{2}) + Θ(n) \\qquad n \\neq 1\n ```\n \n Applicando il **caso particolare del Master Theorem**, otteniamo:\n \n ```latex\n T(n) =\\\\\n \\\\\n Θ(1) \\qquad n=1\\\\\n Θ(n log n) \\qquad n \\neq 1\n ```\n \n ## Pseudocodice\n \n ```python\n def merge_sorted(part):\n # Caso base\n if len(part) == 1:\n return part\n # Divide\n middle = len(part) // 2\n part_a = part[:middle]\n part_b = part[middle:]\n # Impera\n sort_a = merge_sorted(part_a)\n sort_b = merge_sorted(part_b)\n # Combina\n return merge(sort_a, sort_b)\n ```\n \n ## Visualizzazione\n \n [hackerearth.com](https://www.hackerearth.com/practice/algorithms/sorting/merge-sort/visualize/)\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: visualizza solo la fase _Unisci_ del sort)\n ")),n(r.a,null,n(a.a,null,"\n # Quick sort\n \n Il _quick sort_ è un altro approccio **ricorsivo** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Anche qui, applichiamo il **divide et impera**.\n \n 1. _Divide_: Scelgo un **pivot** qualsiasi all'interno della lista. Metto alla sua **sinistra tutti i numeri minori** e alla sua **destra tutti i numeri maggiori**.\n 2. _Impera_: Eseguo un **quick sort su entrambe le sottoliste**.\n \n ### Esempi\n \n #### Iterazione con partizioni bilanciate\n \n Osserviamo come si formi una partizione con tre elementi e una con quattro. \n \n ```\n |¦ [2] 8 7 1 3 5 6 {4}\n 2 |¦ [8] 7 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 7 ¦ [1] 3 5 6 {4}\n 2 1 |7 8 ¦ [3] 5 6 {4}\n 2 1 3 |8 7 ¦ [5] 6 {4}\n 2 1 3 |8 7 5 ¦ [6] {4}\n 2 1 3 |8 7 5 6 ¦ [{4}]\n [2 1 3] {4} [8 5 6 7]\n ```\n \n #### Iterazione con partizioni sbilanciate\n \n Osserviamo come si formi una partizione con **zero elementi** e una con tre.\n \n ```\n |¦ [4] 7 3 {1}\n |4 ¦ [7] 3 {1}\n |4 7 |¦ [3] {1}\n |4 7 3 |¦ [{1}]\n [] {1} [4 7 3]\n ```\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n²)` | `Ω(n log n)` | - |\n \n Il costo della funzione è dato dalla somma del costo per **dividere in due partizioni** con il costo per realizzare il **Quick sort delle due sottopartizioni**\n \n Possiamo applicare allora il **Master Theorem generale**:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n T(q) + T(dim_lista - pivot - 1) + Θ(n) \\qquad per\\ n > 1\n ```\n \n ### Il caso migliore\n \n Se il pivot `q` è la **mediana della partizione** che stiamo ordinando, si vengono a creare due _sottopartizioni bilanciate_, e sostituendo otteniamo:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n 2 T(\\frac{n}{2}) + Θ(n) \\qquad per\\ n > 1\n ``` \n \n Possiamo allora applicare il **Master Theorem particolare**:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n Θ(n log n) \\qquad per\\ n > 1\n ```\n \n ### Il caso peggiore\n \n Se il pivot è uno degli **estremi dell'array**, si creano due _partizioni sbilanciate_: una delle due sottoliste è sempre vuota! \n Allora:\n \n ```latex\n T(n) = T(n-1) + Θ(n)\\\\\n = T(n-2) + Θ(n-1) + Θ(n)\\\\\n = T(n-3) + Θ(n-2) + Θ(n-1) + Θ(n)\\\\\n = …\n ∈ Θ(n^2)\n ```\n \n > \"Non date da mangiare sequenze ordinate al Quicksort, gli sono indigeste.\"\n \n ## Pseudocodice\n \n ```python\n def partition(partizione, inizio, fine):\n \"\"\"Dividi una partizione in due, usando l'ultimo elemento come pivot.\n \n Note utili:\n partizione[fine] è il pivot\n partizione[maggiori] è il primo numero dei maggiori\n partizione[non_iterati] è l'elemento su cui si sta iterando al momento\"\"\"\n # Crea il primo separatore (la | pipe nell'esempio)\n maggiori = inizio\n # Crea il secondo separatore (la ¦ broken pipe nell'esempio)\n non_iterati = inizio\n # Itera su ogni numero tra inizio e fine (escluso!)\n while non_iterati < fine:\n # Se l'elemento su cui stiamo iterando è minore del pivot\n if partizione[non_iterati] <= partizione[fine]:\n # Mettilo nell'insieme dei minori, scambiandolo con il primo numero dei maggiori e incrementando il primo separatore\n partizione[maggiori], partizione[non_iterati] = partizione[non_iterati], partizione[maggiori]\n maggiori += 1\n # Incrementa sempre il secondo separatore\n non_iterati += 1\n # Inserisci il pivot tra le due sottopartizioni create, \n partizione[fine], partizione[non_iterati] = partizione[non_iterati], partizione[fine]\n return maggiori\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: invece che prendere l'ultimo numero come pivot prende il primo, cambiando leggermente l'algoritmo.)\n \n ## Note per l'esame\n \n > La domanda che fa sempre è **\"Qual è la sequenza di pivot utilizzata?\"**\n \n > Elementi da soli _non_ vengono presi come pivot!\n ")),n(r.a,null,n(a.a,null,'\n # Counting sort\n\n Il _counting sort_ è un approccio diverso all\'ordinamento: **non usa il confronto**!\n \n ## Requisiti\n \n Il counting sort può essere utilizzato solo su **sequenze di numeri interi**, e solo se **siamo a conoscenza del minimo e del massimo** dei numeri contenuti nell\'array, ed essi non sono troppo distanti uno dall\'altro. \n (La memoria occupata dal counting sort aumenta linearmente con la differenza tra minimo e massimo!)\n \n Per semplicità, consideriamo il **minimo `0`**. \n L\'input allora sarà una sequenza di interi `A`, e il valore del **massimo `k`**, tale che `∀ n ∈ A, 0 \\leq n \\leq K`.\n \n ## Funzionamento\n \n Il counting sort **conta le ripetizioni** delle chiavi nella sequenza originale e in seguito **sovrascrive i valori** della sequenza con i valori ordinati ripetuti il numero di volte che sono stati individuati nella sequenza.\n \n > ```\n > 1 4 5 3 4 1 4 2 5 1\n > ```\n >\n > L\'`1` appare 3 volte, il `2` 1 volta, il `3` 1 volta, il `4` tre volte e il `5` due volte.\n >\n > La sequenza viene quindi così sovrascritta:\n > ```\n > 1 1 1 3 4 1 4 2 5 1 # Sovrascriviamo la sequenza con 1 ripetuto 3 volte\n > 1 1 1 2 3 4 4 4 5 1 # Sovrascriviamo la sequenza con 2, 3, 4 ripetuti rispettivamente 1 1 e 3 volte\n > 1 1 1 2 3 4 4 4 5 5 # Sovrascriviamo la sequenza con 5 ripetuto 2 volte: abbiamo finito!\n > ``` \n \n Esiste anche una **versione stabile** del counting sort che, invece che sovrascrivere, **sposta i valori**, mantenendo le informazioni aggiuntive nel caso invece che interi fossero altri tipi di dati.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(k + n)` | `Ω(k + n)` | **`θ(k + n)`** |\n \n L\'algoritmo è composto da quattro parti:\n - Ricerca del minimo e massimo (in `θ(n)`)\n - Inizializzazione dell\'indice (in `θ(k)`)\n - Conteggio dei numeri (in `θ(n)`)\n - Sovrascrittura dei numeri (in `θ(k + n)`)\n \n `2 + O(k) + O(n) + O(k + n) -> O(k + n)`\n \n Notiamo che `k` è costante, l\'algoritmo è `O(n)`, estremamente efficiente.\n \n ## Pseudocodice\n \n ```python\n def counting_sort(lista: typing.List[int]):\n """Ordina in-place una lista con il counting sort."""\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all\'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l\'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Sovrascrivo i numeri nella lista\n count = 0\n for pos, val in enumerate(indice):\n for _ in range(val):\n indice[count] = pos\n count += 1\n \n def stable_counting_sorted(lista: typing.List[int], k: int) -> typing.List[int]:\n """Ordina stabilmente una lista con il counting sort stabile, e restituiscila."""\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all\'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l\'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Faccio diventare l\'indice "il numero di numeri \\leq i"\n for i in range(len(indice)):\n if i == 0:\n continue\n indice[i] += indice[i-1]\n assert indice[-1] == dim\n # Creo una nuova lista, che sarà quella che verrà restituita\n nuova = [None for _ in range(dim)]\n # Inizio a posizionare i numeri, al contrario\n for i in range(0, dim, -1):\n nuova[indice[lista[i]]] = lista[i]\n indice[lista[i]] -= 1\n return nuova\n ```\n ')),n(r.a,null,n(a.a,null,"\n ## Introduzione alle Strutture Dati\n\n Una _struttura dati_ è un modo in cui si possono organizzare i dati di un programma.\n \n Si possono definire in due modi: **elementari** e **astratte**.\n \n ### Strutture dati elementari\n \n Le strutture _elementari_ dipendono strettamente dal modo in cui vengono memorizzati i dati.\n \n > **Array** e **liste** sono strutture dati elementari: sono definite dicendo come sono memorizzati i dati, rispettivamente, in celle contigue di memoria e da una serie di nodi con un valore e che puntano al successivo.\n \n ### Strutture dati astratte\n \n Le strutture _astratte_ sono separate dal modo in cui vengono memorizzati i dati, sono più ad alto livello, e si definiscono descrivendo le **proprietà** della struttura e i **metodi** che su di essa possono essere effettuate.\n \n > Una _classe_ in un qualsiasi linguaggio di programmazione è una struttura dati astratta.\n \n > Una _pila_ astratta:\n > - memorizza dati tutti dello stesso tipo\n > - `pop()`, estrae dalla pila l'ultimo valore inserito\n > - `push(val)`, aggiunge alla pila un valore\n > - `top()`, permette di vedere l'ultimo valore inserito nella pila\n > - `vuota()`, dice se la pila è vuota oppure no.\n ")),n(r.a,null,n(a.a,null,'\n # Array\n\n Un _array_ è sequenza di dati di **lunghezza conosciuta**, tutti dello **stesso tipo** e di una **dimensione fissa**, immagazzinata in **blocchi di memoria contigui**.\n \n ## Proprietà\n \n - E\' possibile accedere a tutti i blocchi di memoria conoscendo la loro **posizione relativa al primo** elemento.\n \n ## Metodi\n \n ```python\n class Array:\n def __init__(self, size, type=int): "Crea un array di dimensione size di elementi di tipo int."\n def __getitem__(self, index): "Restituisci il valore alla posizione index."\n def __setitem__(self, index, value): "Cambia il valore alla posizione index."\n ```\n \n ### Costo computazionale\n \n Tutte le operazioni su un array sono in **accesso immediato `O(1)`**!\n ')),n(r.a,null,n(a.a,null,'\n # Lista\n \n Una _lista_ è una sequenza di dati immagazzinata in **blocchi di memoria qualsiasi**.\n \n ## Proprietà\n \n Ogni dato ha un **riferimento** alla collocazione di memoria **successiva** (un puntatore): insieme, sono detti un _nodo_.\n \n E\' di **natura ricorsiva**: qualsiasi nodo di una lista può essere visto come inizio della lista con sè stesso e i suoi successivi.\n \n ## Metodi\n \n ```python\n class LinkedList:\n def __init__(self, value, next: typing.Optional[Node] = None):\n self.value = value\n self.next: typing.Optional[Node] = next\n \n def is_empty(self) -> bool: "Restituisce se la lista è vuota o no."\n def is_full(self) -> bool: "Restituisce se la lista è piena o no.\n def append(self, value): "Aggiunge un nuovo elemento in testa alla lista."\n def insert(self, value, index): "Inserisce un elemento dopo il nodo in posizione index."\n def insert_node(self, value, node): "Inserisce un nuovo elemento subito dopo un dato nodo."\n def find(self, node) -> int: "Trova l\'indice del nodo."\n def delete(self, value): "Elimina il primo nodo con quel valore dalla lista."\n def delete_node(self, node): "Elimina il nodo dalla lista."\n def forward(self, index) -> Node: "Restituisce il nodo in posizione index."\n ```\n \n ### Costo computazionale\n \n #### `List.forward(index)`\n \n Per raggiungere l\'`n`-esimo elemento, bisogna _scorrere tutti gli elementi prima di esso_: è dunque un **accesso sequenziale** in **`O(n)`**.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(r.a,null,n(a.a,null,'\n # Coda (Queue)\n\n Una _coda_ è come una pila, ma segue la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo `enqueue()`**\n - I dati possono essere estratti solo tramite il **metodo `dequeue()`**\n - Verranno restituiti i valori inseriti secondo la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n > Hai presente quando fai la fila per pagare al supermercato? Beh, è quello, però non si possono superare le altre persone in nessun modo.\n \n ## Metodi\n \n ```python\n class Queue:\n def __init__(self): "Crea una nuova coda."\n def is_empty(self) -> bool: "Restituisce vero se la coda è vuota."\n def enqueue(self, data): "Aggiunge un dato alla coda."\n def first(self) -> ...: "Restituisce il primo dato della coda."\n def dequeue(self) -> ...: "Restituisce il primo dato della coda e lo rimuove."\n ```\n \n ## Implementazione tramite lista\n \n Posso implementare la coda con una lista, ma per realizzare l\'implementazione più efficiente devo tenere anche un puntatore all\'ultimo elemento della coda, in modo da non doverla scorrere ogni volta che voglio effettuare un\'operazione.\n \n Chiamiamo i due puntatori `head` e `tail` rispettivamente.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(r.a,null,n(a.a,null,'\n # Pila (Stack)\n\n Una _pila_ è una struttura dati contenente **valori omogenei**.\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo `push()`**\n - I dati possono essere estratti solo tramite il **metodo `pop()`**\n - Verranno restituiti i valori inseriti secondo la strategia **Last In, First Out** (l\'ultimo inserito sarà il primo a essere estratto).\n \n > Ci si può immaginare una pila di libri, da cui si può solo prendere un libro alla volta, quello più in alto.\n \n ## Metodi\n \n ```python\n class Stack:\n def __init__(self): "Crea una nuova pila."\n def is_empty(self) -> bool: "Restituisce vero se la pila è vuota."\n def push(self, data): "Aggiunge un dato alla pila."\n def top(self) -> ...: "Restituisce il primo dato della pila."\n def pop(self) -> ...: "Restituisce il primo dato della pila e lo rimuove."\n ```\n \n ## Implementazione tramite lista\n \n Utilizzando una lista possiamo realizzare una pila!\n \n La direzione dei puntatori sarà dall\'ultimo al primo, che non punterà più a nessuno.\n \n Il costo di tutti i metodi è `Θ(1)`!\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(r.a,null,n(a.a,null,"\n # Albero radicato\n \n Un _albero radicato_ è una struttura dati di **natura ricorsiva** che organizza i dati in maniera **non-lineare**.\n \n ## Proprietà\n \n - Ogni nodo dell'albero ha un **unico genitore**: `∀ (padre, figlio), (padre' figlio) ∈ E \\implies padre = padre'`\n - Ogni nodo dell'albero può avere **un numero qualsiasi di figli**.\n \x3c!----\x3e\n - I **nodi superiori al padre** vengono chiamati _antenati_.\n - I **nodi inferiori ai figli** vengono chiamati _discendenti_.\n \x3c!----\x3e\n - Nodi **senza padre** sono detti _radice_: `\\notexists (padre, radice) ∈ E`\n - Nodi **con padre e figli** sono detti _rami_ o interni.\n - Nodi **senza figli** sono detti _foglie_.\n \x3c!----\x3e\n - La **distanza** tra il nodo radice e i suoi discendenti è detta _livello_:\n - I figli immediati sono di livello 1.\n - I \"nipoti\" (figli dei figli) sono di livello 2.\n - I figli dei nipoti sono livello 3.\n - E così via.\n - Il **livello massimo** all'interno di un albero è detto _altezza_, _profondità_ oppure _h_, ed è sempre `1 ≤ h ≤ n-1`.\n \x3c!----\x3e\n - Un albero ha sempre `n-1` archi.\n \n ## Alberi particolari\n \n ### Alberi `d`-ari\n \n Un albero _`d`-ario_ è un particolare tipo di albero che **limita il numero massimo di figli di un nodo** a `d`.\n \n > Un albero _binario_ può avere **massimo 2 figli** per ogni nodo; un albero _ternario_ ne può avere **3**; un albero _`17`-ario_ ne potrà avere **17**\n \n #### Alberi completi\n \n Un albero `d`-ario si dice _completo_ se **tutti i nodi hanno 0 o `d` figli**, e mai una numero in mezzo.\n \n #### Alberi bilanciati\n \n Un albero `d`-ario si dice _bilanciato_ se **tutti i livelli eccetto l'ultimo** hanno il numero massimo di figli.\n \n #### Alberi perfettamente bilanciati\n \n Un albero `d`-ario si dice _perfettamente bilanciato_ se **tutti i livelli incluso l'ultimo** hanno il numero massimo di figli.\n \n ##### Particolarità degli alberi binari perfettamente bilanciati\n \n Si può dimostrare per induzione che:\n - Hanno sempre `2^h` foglie.\n - Hanno sempre `2^{h+1}-1` (`\\sum_i=0^n 2^i`) nodi.\n - L'altezza è in `Θ(log n)`.\n \n ## Implementazione degli alberi\n \n Possiamo scegliere se usare una rappresentazione con array o con nodi e puntatori: ognuna ha vantaggi e svantaggi diversi.\n \n ### Implementazione tramite array\n \n E' suggerito se l'albero è regolare; più è simile a un albero d-ario completo, meglio è.\n \n ### Implementazione tramite nodi e puntatori\n \n Più adatta ad alberi irregolari.\n \n Se l'albero è regolare, creiamo il numero esatto di campi:\n \n - Valore\n - Figlio1\n - Figlio2\n - _Opzionale:_ Padre\n \n Se un albero è irregolare, creiamo una specie di lista:\n \n - Valore\n - Primo figlio\n - Prossimo fratello\n - _Opzionale:_ Padre\n ")),n(r.a,null,n(a.a,null,"\n #### Breadth-first search (BFS)\n\n La _breadth-first search_ è un algoritmo che visita **ogni livello** dell'albero in ordine, dal più basso al più alto.\n \n ## Funzionamento\n \n > 1. __Visita radice__\n > 2. __Visita figli__\n > 3. __Visita nipoti__\n > 4. __Visita pronipoti__\n \n Si può implementare con una coda, in cui verranno inseriti i figli del nodo visitato da visitare ed estratti dopo avere completato la visita del livello attuale.\n \n ## Pseudocodice \n \n ```python\n def bfs(radice):\n c = Queue()\n c.enqueue(radice)\n while not c.is_empty():\n nodo = c.dequeue()\n print(nodo)\n for figlio in nodo.figli:\n nodo.enqueue(figlio)\n ```\n ")),n(r.a,null,n(a.a,null,"\n # Depth-First Search\n\n La _depth-first search_ è un algoritmo che visita **tutti i sottoalberi di un figlio** prima di passare ad un altro sfruttando la natura ricorsiva degli alberi.\n \n ## Funzionamento\n \n Ci sono diverse versioni della depth-first search: ognuna visita la radice in un momento diverso.\n \n ### DFS previsita (pre-order)\n \n La _DFS pre-visita_ visita la **radice per prima**, poi tutti i sottoalberi formati dai figli uno dopo l'altro.\n \n > 1. __Visita radice__\n > 2. dfs_pre_order(figlio1)\n > 3. dfs_pre_order(figlio2)\n \n ### Postvisita (post-order)\n \n La _DFS postvisita_ visita prima tutti i sottoalberi dei figli, e **alla fine la radice**.\n \n > 1. dfs_post_order(figlio1)\n > 2. dfs_post_order(figlio2)\n > 3. __Visita radice__\n \n ### Invisita (in-order)\n \n La _DFS invisita_ visita **un certo numero di figli**, poi la radice, e infine i figli restanti.\n \n > 1. dfs_in_order(figlio1, 1)\n > 2. __Visita radice__\n > 3. dfs_in_order(figlio2, 1)\n ")),n(r.a,null,n(a.a,null,"\n # Albero binario di ricerca\n\n ## Proprietà\n \n - Albero **binario**\n - Chiavi appartenenti ad un **insieme totalmente ordinato** (N, Q, R, ma non C)\n \x3c!----\x3e\n - Per ogni nodo con valore `x`, se un valore `v` è nel sottoalbero di sinistra allora `v ≤ x`, mentre se è nel sottoalbero di destra allora `v > x`.\n \n ## Costo computazionale\n \n - Trovare un valore: `O(h)`\n - Ordinare i valori: `O(n)`\n - Trovare il minimo: `O(h)`\n - Trovare il massimo: `O(h)`\n - Inserire un elemento: `O(h)`\n - Cancellare un elemento: `O(h)`\n \n `h` vale `log n` in un albero perfettamente bilanciato, e più l'albero diventa sbilanciato, più si avvicina a `n`, raggiungendola nel caso l'albero sia una lista.\n \n ## Pseudocodice\n \n ### Cancellazione ricorsiva\n \n ```python\n def delete(tree, key):\n if tree is not None:\n # Se ho trovato il nodo che cercavo...\n if tree.key == key:\n # E c'è una sola diramazione...\n # Semplicemente stacca il nodo come in una lista.\n if tree.left is None:\n return tree.right\n if tree.right is None:\n return tree.left\n # Altrimenti, diventa il minimo dell'albero di destra\n tree.key = tree.right.min()\n # Ed eliminalo dal sottoalbero\n tree.right = delete(tree.right, tree.key)\n # Se la chiave attuale è diversa da quella che cerchiamo, continuo a navigare l'albero\n elif tree.key < key:\n tree.left = delete(tree.left, key)\n else:\n tree.right = delete(tree.right, key)\n return tree\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/bst)\n \n ## Approfondimenti\n \n Esistono alberi più avanzati che mantengono le proprietà degli alberi binari di ricerca, ma che si autobilanciano, come il [Red Black Tree](https://it.wikipedia.org/wiki/RB-Albero).\n ")),n(r.a,null,n(a.a,null,'\n # Heap binario\n \n L\'_heap binario_ è un **albero binario bilanciato a sinistra**.\n \n ## Proprietà\n \n - _Proprietà strutturale_:\n - L\'albero è **perfettamente bilanciato** in tutti i livelli tranne l\'ultimo\n - Nell\'ultimo livello, le foglie occupano le **posizioni più a sinistra** possibili\n - _Proprietà di ordinamento_:\n - La chiave di un qualsiasi nodo è **più piccola** di tutte quelle dei nodi **del suo sottoalbero**\n \n ## Metodi\n \n ```python\n class Heap:\n def __init__(self, H): ...\n def _heapify_ancestors(self, i): "Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi genitori."\n def minimum(self): "Restituisce la chiave con il valore minimo in H."\n def decrease_value(self, index, new_value): "Diminuisce il valore della chiave all\'indice index a new_value."\n def insert(self, value): "Inserisci un nuovo valore nell\'albero."\n def _heapify_children(self, i): "Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi figli."\n def pop(self): "Restituisce la chiave con il valore minimo, e la elimina."\n def from_list(l): "Crea un heap da una lista."\n ```\n \n ## Implementazione con un array\n \n Possiamo implementare l\'albero utilizzando un array con le chiavi dell\'albero memorizzate nell\'ordine _breadth-first_.\n \n L\'indice del figlio sinistro può essere trovato a `2i+1`, mentre l\'indice del figlio sinistro può essere trovato a `2i+2`; il genitore è a `i//2-1`.\n \n ### Pseudocodice\n \n ```python\n class Heap:\n def __init__(self, size):\n self.array = Array(size) # Il tipo Array non esiste; consideriamolo pseudocodice\n self.next_value = 0\n \n def _heapify_ancestors(self, index)\n """Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi genitori.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice del genitore\n parent = index // 2 - 1\n # Controllo se viene mantenuta la proprietà di ordinamento dell\'heap\n if self.array[index] < self.array[parent]:\n # Scambio i valori dei due nodi\n self.array[index], self.array[parent] = self.array[parent], self.array[index]\n # Faccio la stessa cosa con il genitore\n self._heapify(parent)\n \n \n def minimum(self):\n """Restituisce la chiave con il valore minimo in H.\n \n Costo:\n O(1)"""\n return self.array[0]\n \n def decrease_value(self, index, new_value):\n """Diminuisce il valore della chiave all\'indice index a new_value.\n \n Costo:\n O(log n)"""\n # Diminuisco il valore del nodo\n self.array[index] = new_value\n # Aggiorno l\'heap \n self._heapify(index)\n \n def insert(self, value):\n """Inserisci un nuovo valore nell\'albero.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice in cui inserire il valore\n index = self.next_index \n # Aggiungo il valore in fondo\n self.array[index] = value\n # Aggiorno l\'heap\n self._heapify(index)\n \n def _heapify_children(self, index):\n """Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi figli.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice dei figli\n left = index * 2 + 1\n right = index * 2 + 2\n # Mi assicuro che i figli esistano\n try:\n # Guardo quale dei figli è maggiore\n if self.array[left] > self.array[right]:\n # Scambio i valori\n self.array[left], self.array[index] = self.array[index], self.array[left]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n else:\n # Scambio i valori\n self.array[right], self.array[index] = self.array[index], self.array[right]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n except IndexError:\n # La foglia non ha figli: ho finito!\n return\n \n def pop(self):\n """Restituisce la chiave con il valore minimo, e la elimina.\n \n Costo:\n O(log n)"""\n # Mi salvo il valore della radice\n value = self.array[0]\n # Sostituisco la radice con l\'ultima foglia a destra\n self.array[0], self.array[self.next_value] = self.array[self.next_value], self.array[0]\n ### Non bisognerebbe eliminare la foglia...?\n # Riordino l\'heap\n self._heapify_children(0)\n return value\n \n @staticmethod\n def from_list(l):\n """Crea un heap da una lista.\n \n Costo:\n O(n log n), ma si può abbassare"""\n heap = Heap(len(l)))\n heap.array = Array.from_list(l) # Pseudocodice\n heap.next_value = len(l)\n # Cominciamo a riordinare l\'heap dalla fine, in modo che rispetti le proprietà\n for index in range(heap.next_value, 0, -1):\n heap._heapify_children(index)\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/heap)\n ')),n(r.a,null,n(a.a,null,"\n # Coda con priorità\n \n La _coda con priorità_ è una struttura dati dal funzionamento molto simile a quello di una coda, ma invece che restituire il primo elemento inserito, essa restituisce l'**elemento con il valore di priorità minore**.\n \n ## Proprietà\n \n - Ogni elemento è una coppia costituita da **valore** e **priorità** (un numero intero).\n - Nuovi elementi possono essere aggiunti solo tramite il **metodo `insert()`**\n - Gli elementi possono essere estratti solo tramite il **metodo `pop()`**\n - Verranno restituiti i valori inseriti secondo la strategia **Lower Priority** (l'elemento con la priorità minore sarà il primo ad essere restituito).\n - E' possibile diminuire la priorità di un elemento (e quindi anticipare la sua estrazione)\n \n ## Metodi\n \n ```python\n class PriorityQueue:\n def __init__(self): ...\n def insert(self, new_elem: Element): ...\n def minimum(self) -> Element: ...\n def pop(self) -> Element: ...\n def decrease_priority_for(self, elem: Element, priority: int): ...\n ```\n \n ## Implementazione con lista\n \n E' possibile implementare la coda con priorità tramite una **lista**: l'inserimento di nuovi valori diventerà molto efficiente, ma tutte le altre operazioni saranno linearmente lente.\n \n ### Costo computazionale\n \n - *insert()*: `O(1)`\n - *minimum()*: `O(n)`\n - *pop()*: `O(n)`\n - *decrease_priority_for()*: `O(n)`\n \n ## Implementazione con lista ordinata\n \n Implementando la coda con priorità con una **lista ordinata** si avrà un costo di ordinamento elevato negli inserimenti e modifiche alla priorità, ma costi costanti nell'estrazione di un elemento.\n \n ### Costo computazionale\n \n - *insert()*: `O(n)`\n - *minimum()*: `O(1)`\n - *pop()*: `O(1)`\n - *decrease_priority_for()*: `O(n)`\n \n ## Implementazione con heap\n \n La **soluzione migliore** è quella di implementare la coda con priorità tramite un **heap**: tutti i costi saranno logaritmici, eccetto l'inserimento che sarà costante.\n \n - `insert()` costa `O(1)`\n - `minimum()` costa `O(log n)`\n - `pop()` costa `O(log n)`\n - `decrease_priority_for()` costa `O(log n)`\n \n ## Approfondimenti\n \n Esistono code con priorità che restituiscono **l'elemento con priorità maggiore**, invece che quello minore.\n ")),n(r.a,null,n(a.a,null,"\n # Heap sort\n\n L'_heap sort_ è un algoritmo di ordinamento per confronto **iterativo**.\n \n ## Funzionamento\n \n Per effettuare un heap sort, creiamo un **heap massimo** in cui inseriamo tutti i valori che vogliamo ordinare.\n \n Una volta applicate le proprietà dell'heap, chiamiamo una versione particolare di `heap.pop()` che invece che rimuovere dall'array i valori estratti li posiziona nello spazio creatosi in fondo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n log n)` | `Ω(n log n)` | **`θ(n log n)`** |\n ")),n(r.a,null,n(a.a,null,"\n # Grafo\n \n Un _grafo_ è una struttura dati che rappresenta elementi interconnessi tra loro.\n \n Esistono due tipi di grafi: _orientati_ e _non orientati_.\n \n Per semplicità, consideriamo i nostri nodi numerati da 1 a `n`.\n \n ## Proprietà\n \n - Gli elementi sono rappresentati tramite _nodi_.\n - Il loro _grado_ è dato dal **numero degli archi** che vi incidono.\n - Se il grafo è orientato, hanno anche un _in-degree_ (**numero di archi entranti**) e un _out-degree_ (**numero di archi uscenti**).\n - Le connessioni tra elementi sono rappresentate tramite _archi_.\n - Un arco _incide_ esattamente su **due nodi**.\n - Se il grafo è orientato, sono _uscenti_ da uno dei due nodi ed _entranti_ nell'altro.\n - Sono matematicamente meno del **quadrato dei nodi**.\n \n ## Grafi particolari\n \n ### Catena\n \n Una _catena_ è un **grafo non orientato** composto da una **sequenza di nodi** aventi un **grado massimo di 2** tutti collegati tra loro.\n \n ### Cammino\n \n Un _cammino_ è un **grafo orientato** composto da una **sequenza di nodi** aventi un **in-degree** e un **out-degree** **massimo di 1**, collegati tra loro in modo che partendo dal primo e seguendo gli archi sia possibile arrivare all'ultimo.\n \n ### Cricca\n \n Una _cricca_ è un grafo in cui **tutti i nodi sono collegati tra loro**.\n \n Se il grafo è **non orientato**, la cricca ha `((n-1)n)/2` archi.\n \n Se il grafo è **orientato**, ha per ogni coppia un arco in entrambe le direzioni, quindi ha `(n-1)n` archi.\n \n ### Direct Acyclic Graph\n \n Un _DAG_ è un grafo diretto che non contiene nessun ciclo.\n \n Su di esso possiamo effettuare un ordinamento, detto _linearizzazione_, tra i nodi: otteniamo l'_ordine topologico_.\n \n I primi elementi dei DAG sono detti _Source_ (_Sorgente_), mentre gli ultimi sono detti _Sink_ (_Pozzo_).\n \n #### Albero\n \n Un **albero** può essere considerato un DAG con una **sorgente singola** e le **foglie come pozzi**.\n \n ### Grafo fortemente connesso\n \n Un insieme di nodi `V` di un **grafo diretto** `G` si dice una _componente fortemente connessa_ se:\n \n 1. Per ogni coppia di nodi `∀ u, v ∈ V' : ∃ un cammino u->v in G'`\n 2. Massimale (non può diventare più grande)\n \n > Praticamente una componente fortemente connessa è un gruppo di nodi tra i quali si può viaggiare liberamente da e a qualsiasi nodo al suo interno.\n \n Un grafo si dice _fortemente connesso_ se l'insieme `V` coincide con l'insieme dei nodi del grafo `G`.\n \n > Se partendo da qualsiasi nodo di un grafo riesco ad arrivare a qualsiasi altro nodo, allora il grafo è fortemente connesso.\n \n Inoltre, se creiamo un nuovo grafo, in cui **ogni nodo rappresenta una componente fortemente connessa** del nostro grafo iniziale, **otteniamo un DAG**, perchè tutti i cicli sono stati integrati nella componente.\n \n ### Trasposto di un grafo\n \n Il _trasposto_ di un **grafo diretto** `G` è il grafo stesso con gli archi che però vanno nella **direzione opposta**.\n \n ### Grafo pesato\n \n Un _grafo pesato_ è un particolare grafo che associa a ciascun arco un **costo** per attraversarlo.\n \n #### Costi negativi\n \n I costi possono anche essere negativi: rappresenteranno allora un **guadagno** ottenuto attraversando il nodo.\n \n ### Minimum spanning tree\n \n Un _minimum spanning tree_ è il **sottoinsieme degli archi** di un **grafo non diretto** che **connettono tutti i nodi** con il **minor costo possibile**.\n \n I MST hanno [molte proprietà](https://en.wikipedia.org/wiki/Minimum_spanning_tree#Properties); sono troppe da scrivere qui, e probabilmente non ci interesseranno nemmeno.\n \n ## Implementazione tramite matrice di adiacenza\n \n Possiamo implementare un grafo creando una **matrice di `bool` di dimensione `n * n`** in cui le **caselle collegate sono vere** e le caselle non collegate sono false.\n \n > Ad esempio, possiamo implementare un grafo non orientato in questo modo (`█` indica l'esistenza di un collegamento e ` ` indica la sua assenza):\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|░|░|\n > |2|█|░|░|\n > |3|█| |░|\n >\n > Esistono gli archi `1-2` e `1-3`, ma non esiste un collegamento `2-3`.\n \n > Un grafo orientato invece si può implementare così:\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|█| |\n > |2|█|░| |\n > |3|█| |░|\n >\n > Esistono gli archi `1->2`, `2->1` e `3->1`, ma non ci sono collegamenti `2->3`, `1->3` e `3->2`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Le matrici di adiacenza portano alla realizzazione di algoritmi molto veloci: verificare l'esistenza di un arco è in `O(1)`!\n \n Abbiamo però penalità significative quando vogliamo effettuare operazioni sugli archi: ad esempio, trovare il trasposto di un grafo implementato con una matrice di adiacenza è in `O(nodi²)`.\n \n #### Memoria\n \n E' poco efficiente in quanto a memoria: l'upper bound è in `O(n^2)`. \n \n ## Implementazione tramite liste di adiacenza\n \n Un'alternativa alla matrice di adiacenza è quella di creare un'**array di liste**, le quali contengono i **vicini di ciascun nodo**.\n \n > |Posizione|Lista|\n > |-|-|\n > |1|[2, 3]|\n > |2|[]|\n > |3|[1]|\n >\n > Esistono gli archi `1->2`, `1->3`, e `3->1`, ma non esistono `2->1`, `2->3` e `3->2`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Utilizzando le liste di adiacenza, il tempo richiesto per verificare l'esistenza di un arco sale a `O(max-out-degree)`.\n \n E' efficace però quando il problema che vogliamo risolvere riguarda operazioni su archi: trovare la trasposta è in `O(archi)`.\n \n #### Memoria \n \n La memoria richiesta dalle liste di adiacenza è minore di quella delle matrici: l'upper bound è in `O(nodi + archi)`.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/graphds)\n ")),n(r.a,null,n(a.a,null,"\n # Visitare un grafo\n \n Come per gli alberi radicati, esistono due modi per visitare un grafo: _depth-first search_ e _breadth-first search_.\n \n In entrambi i casi, non visito mai due volte lo stesso nodo, e come risultato ottengo **molteplici alberi**, il cui insieme viene detto _foresta di copertura_.\n \n Se il grafo che vogliamo visitare è diretto, allora dobbiamo **considerare come vicini solo gli archi uscenti**\n \n ## Depth-first search\n \n La DFS ci può risultare utile per **identificare le componenti connesse** di un grafo e **identificare eventuali cicli**.\n \n ### Funzionamento\n \n Posso utilizzare la DFS per classificare gli archi di un grafo in quattro categorie:\n \n - _Tree_, archi che ci fanno **scoprire un nuovo nodo**\n - _Forward_, archi che ci portano a un **discendente**\n - _Back_, archi che ci portano ad un **antenato**\n - _Cross_, archi che **connettono due sottoalberi** diversi\n \n Usiamo due array inizializzati a 0 chiamati `pre` e `post`, grandi quanto il numero di archi del grafo, che ci indicano rispettivamente quando un nodo è stato scoperto e quando è terminata la visita. \n Inoltre, creiamo una variabile `clock` che avanza ad ogni evento. \n Alla scoperta di un nuovo nodo, mettiamo il valore attuale di `clock` all'interno di `pre[n]`. \n Alla fine della visita di un nodo invece mettiamo il valore di `clock` in `post[n]`.\n \n **Durante la visita**, gli archi avranno i seguenti valori:\n - _Tree_: `pre[dst] == 0`\n - _Forward_: `pre[src] < pre[dst] && post[dst] > 0`\n - _Back_: `pre[dst] < pre[src] && post[dst] == 0`\n - _Cross_: Tutti gli altri (`post[dst] < pre[src]`)\n \n **A fine visita**, gli archi avranno i seguenti valori:\n - _Tree_: `pre[dst] < pre[dst] < post[dst] < pre[src]`\n - _Forward_: `pre[dst] < pre[dst] < post[dst] < pre[src]`\n - _Back_: `pre[src] < pre[dst] < post[dst] < post[src]`\n - _Cross_: `pre[dst] < post[dst] < pre[src] < post[src]`\n \n Se un **grafo non diretto** contiene degli **archi Back**, allora esso **conterrà un ciclo**.\n \n #### DFS nel grafo trasposto\n \n Se effettuo una DFS sul trasposto di un grafo, posso **scoprire i nodi che hanno un cammino verso l'origine**.\n \n #### DFS nella componente fortemente connessa\n \n Se effettuo una DFS in una componente fortemente connessa e nella sua trasposta, il **`post` della trasposta sarà sempre minore** del `post` della componente originale.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n | Memoria | `O(nodi)` | `Ω(nodi)` | **`θ(nodi)`** |\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n \n ## Breadth-first search\n \n La BFS ci può risultare utile per **trovare tutti i nodi a una certa distanza** da un'origine.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n | Memoria | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n \n ### Pseudocodice\n \n Come per gli alberi, la implementiamo in modo **iterativo**:\n \n ```python\n queue = [starting_node]\n parents = [None for node in graph.nodes]\n distance = [-1 for node in graph.nodes]\n \n # TODO: controllami quando sei più sveglio\n \n while queue:\n node, source, distance = queue.pop(0)\n parents[node.number] = source\n distance[node.number] = distance\n for neighbour in node.neighbours:\n queue.append((neighbour, node, distance+1))\n ```\n \n > Nella coda, la distanza massima tra un nodo e l'altro è 1.\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n ")),n(r.a,null,n(a.a,null,"\n # Algoritmi greedy\n\n Un modo per risolvere problemi algoritmici può essere usare una **tecnica** _greedy_.\n \n Le tecniche greedy consistono nel effettuare tanti piccoli passi, ed effettuare una **scelta** in base ai dati **locali al passo attuale**.\n \n > Scegli il numero di monete più piccole possibili per comporre €1.12.\n >\n > L'algoritmo cerca di scegliere sempre la moneta più grande possibile compatibile con il prezzo in quel momento, quindi:\n > | Moneta scelta | Rimanente |\n > |---------------|-----------|\n > | € 1.00 | € 0.12 |\n > | € 0.10 | € 0.02 |\n > | € 0.02 | € 0.00 |\n \n ## Esempi\n \n Sono algoritmi greedy:\n \n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n ")),n(r.a,null,n(a.a,null,"\n # Percorso più breve\n\n Trovare il _percorso più breve_ (o _cammino minimo_) tra due nodi di un **grafo pesato** è un problema frequente nell'informatica; per questo, sono stati sviluppati [numerosi algoritmi](https://en.wikipedia.org/wiki/Shortest_path_problem) per risolverlo.\n \n > Ad esempio, il pathfinding dei nemici nei videogiochi, oppure Google Maps!\n \n ## Percorso più breve da una sorgente singola\n \n Una sottocategoria del problema del percorso più breve è il caso in cui ci interessa sapere i percorsi più brevi che **partono da uno specifico nodo del grafo**: è detto problema del _percorso più breve da una sorgente singola_, o _single-source shortest path_.\n \n Si può notare che se il grafo contiene **costi negativi** allora è possibile che il percorso più breve non esista, in quanto diventa possibile la comparsa di **cicli di costo infinitamente negativo**.\n \n Possiamo notare che, se il percorso più breve tra `A` e `D` è `A-B-C-D`, allora il cammino minimo tra `B` e `D` passerà obbligatoriamente per `C` (`B-C-D`).\n Diremo più avanti che il percorso più breve ha una **sottostruttura ottimale**.\n \n ### Esempi\n \n Alcuni algoritmi che trovano il percorso più breve sono:\n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Bellman-Ford_\n - La [_ricerca A*_](https://en.wikipedia.org/wiki/A*_search_algorithm)\n ")),n(r.a,null,n(a.a,null,"\n # Algoritmo di Dijkstra\n \n L'_Algoritmo di [Dijkstra](https://upload.wikimedia.org/wikipedia/commons/8/85/Dijkstra.ogg)_ è un algoritmo che risolve il problema del **percorso più breve da una sorgente singola** per grafi con pesi **reali positivi** `\\mathbb{R}^+`.\n \n L'algoritmo trova tutti i percorsi più brevi per raggiungere qualsiasi nodo del grafo partendo da un dato nodo, assieme al costo richiesto per farlo.\n \n ## Funzionamento\n \n 1. Separiamo tutti i nodi del grafo in due gruppi: **visitati** e **non visitati**. \n - Tutti i nodi partono da **non visitati**.\n 2. Per ogni nodo, manteniamo un valore \"**costo richiesto per raggiungerlo**\", che verrà cambiato man mano che l'algoritmo avanza.\n - Il costo di partenza è `+∞`.\n - Il costo sarà **definitivo per i nodi visitati**, e **provvisorio per i non visitati**.\n 3. Creiamo un insieme detto _frontiera_ che conterrà tutti i **nodi non visitati adiacenti** a quelli visitati.\n 4. Prendiamo il nodo iniziale, che avrà un **costo di `0`**, e definiamolo il nodo _attuale_.\n 5. Finchè ci sono dei nodi non sono stati visitati, ripetiamo il seguente ciclo:\n 1. Aggiungiamo i nodi adiacenti al nodo attuale alla frontiera.\n - Il costo per raggiungerli sarà il **costo per il nodo attuale sommato al costo dell'arco** che li connette al nodo attuale. \n Se questo **costo** risulta essere **minore del costo provvisorio** precedente, esso **diventerà il nuovo costo**.\n - Questa operazione è detta _rilassamento dell'arco_.\n 2. Facciamo diventare **visitato** il nodo attuale.\n - Il percorso che abbiamo fatto per raggiungerlo è obbligatoriamente il più breve.\n 3. Il prossimo nodo attuale sarà il nodo di frontiera con un costo più basso.\n - Per questo, è possibile definire l'algoritmo di Dijkstra come un **algoritmo greedy**.\n \n ### Non funziona se...\n \n L'algoritmo smette di funzionare nel caso in cui siano presenti **costi negativi** e il grafo non sia **aciclico**, in quanto non saremmo mai in grado di rendere visitato un nodo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(nodi + archi) log nodi)` |\n \n ### Scomposizione\n \n - Inizializzazione: `O(nodi)`\n - Creazione coda priorità: `O(nodi log nodi)`\n - Ciclo: `O((nodi + archi) log nodi)`\n \n ## Pseudocodice\n \n ```python\n import math\n \n class Info:\n def __init__(self, distance=math.inf, previous=None):\n self.distance = distance\n self.previous = previous\n \n def dijkstra(graph, start):\n data = [Info() for node in graph.nodes]\n queue = PriorityQueue([start])\n while queue:\n node = queue.pop()\n for arc in node.connections:\n other = arc.other(node)\n if data[node.number].distance + arc.cost < data[other].distance:\n data[other].distance = data[node.number].distance + arc.cost\n queue.decrease_priority_for(other, data[other].distance)\n data[v].previous = node\n return data\n ```\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n ")),n(r.a,null,n(a.a,null,"\n # Algoritmo di Bellman-Ford\n\n L'_Algoritmo di Bellman-Ford_ è un algoritmo che, come l'Algoritmo di Dijkstra, risolve il problema del **percorso più breve da una sorgente singola**, però, a differenza da quest'ultimo, l'Algoritmo di Bellman-Ford accetta in input anche grafi con pesi **reali** `\\mathbb{R}` (sia positivi, sia negativi).\n \n ## Funzionamento\n \n L'approccio dell'algoritmo è simile a quello di Dijkstra: entrambi usano il **rilassamento** degli archi per ottenere un costo provvisorio per il raggiungimento di un nodo, ma invece che rilassare solo l'arco con costo inferiore, questo algoritmo **rilassa tutti gli archi** ripetutamente, eliminando la frontiera e il problema dei nodi negativi.\n \n L'operazione di rilassamento è ripetuta `nodi - 1` volte, ovvero la **lunghezza massima** di un cammino aciclico all'interno di un grafo.\n \n Possiamo individuare dopo i rilassamenti se è presente un nodo con un **ciclo negativo**: ci basta controllare se esiste un arco che connette due nodi con una distanza incompatibile: se `a.distanza + arco.costo < b.distanza`, allora è presente un ciclo negativo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(nodi * archi)` |\n \n ## Pseudocodice\n \n > TODO\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n ")),n(r.a,null,n(a.a,null,'\n # Disjoint set\n \n Il _disjoint set_ è una struttura dati che rappresenta elementi di un insieme raggruppati in **sottoinsiemi disgiunti**.\n \n ## Metodi\n \n ```python\n class DisjointNode:\n def __init__(self): ...\n def find_set(self): "Trova il rappresentante dell\'elemento."\n def union(self, other): "Unisce i sottoinsiemi che contengono questo nodo e `other`."\n ```\n \n ## Implementazione tramite array\n \n Possiamo implementare il disjoint set con due array: uno per l\'**indice del rappresentante** e uno per il **rango dell\'insieme**.\n \n Un singoletto avrà **sè stesso come rappresentante** e **rango `0`**.\n \n ### Costo computazionale\n \n - *create_set()*: `O(1)`\n - *find_set()*: `O(h)`\n - *union()*: `O(h)`\n \n ### Pseudocodice\n \n ```python\n class DisjointNode:\n def __init__(self):\n self.parent = self\n self.rank = 0\n \n def find_set(self):\n element = self\n while self.parent != element:\n element = self.parent\n return element\n \n def union(self, other):\n repres_self = self.find_set()\n repres_other = other.find_set()\n if repres_self == repres_other:\n return\n if repres_self.rank < repres_other.rank:\n repres_greater = repres_other\n repres_lesser = repres_self\n else:\n repres_greater = repres_self\n repres_lesser = repres_other\n repres_lesser.parent = repres_greater\n if repres_greater.rank == repres_lesser.rank:\n repres_greater.rank += 1\n ```\n \n ### Visualizzazione\n \n [cs.usfca.edu](https://www.cs.usfca.edu/~galles/JavascriptVisual/DisjointSets.html)\n ')),n(r.a,null,n(a.a,null,"\n # Trovare il minimum spanning tree\n\n Un altro problema ricorrente riguardante i grafi è trovare il _minimum spanning tree_ di un dato grafo non diretto.\n \n > E' utile per trovare il modo più efficiente per connettere le cose: ad esempio, per decidere la struttura di una rete internet!\n \n ## Esempi\n \n Gli algoritmi principali che risolvono il problema sono due, ed entrambi sono **algoritmi greedy**:\n \n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n ")),n(r.a,null,n(a.a,null,"\n # Algoritmo di Kruskal\n \n L'_Algoritmo di Kruskal_ è un algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n 1. Ripetiamo questa procedura finchè tutti i nodi non sono connessi:\n 1. Prendiamo ad ogni passo **l'arco meno costoso** del grafo non ancora aggiunto all'insieme.\n 2. Assicuriamoci che **non si creino cicli**: se non se ne verrebbero a creare, possiamo **aggiungere l'arco all'insieme**.\n - Gli archi devono quindi connettere nodi in **componenti connesse diverse**.\n - Possiamo rappresentare le componenti connesse con un **Disjoint Set**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(archi²)` |\n \n ### Scomposizione\n \n - DisjointSet.__init__(): `O(archi)`\n - Per ogni ciclo: `O(archi²)`\n - DisjointSet.find_set(): `O(1)`\n - DisjointSet.union(): `O(archi)`\n \n ## Pseudocodice\n \n ```python\n def minimum_spanning_tree_kruskal(graph):\n ds = DisjointSet()\n for node in graph.nodes:\n ds.create_set(node)\n arcs = []\n sorted_arcs = sorted(graph.arcs, key=lambda arc: arc.cost)\n for arc in sorted_arcs:\n if ds.find_set(node.start) != ds.find_set(node.end):\n arcs.append(arc)\n ds.union(node.start, node.end)\n return arcs\n ```\n ")),n(r.a,null,n(a.a,null,"\n # Algoritmo di Prim\n \n L'_Algoritmo di Prim_ è un altro algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n Creo una **coda con priorità** in cui inserisco tutti gli archi visibili dal mio albero, in cui la chiave è il **costo dell'arco**.\n \n Per trovare l'arco con costo più piccolo posso **estrarre un arco** dalla coda: la priorità ci garantisce che esso è l'**arco meno costoso**.\n \n Aggiungo allora un nuovo nodo all'albero, e con esso, **aggiungo alla coda** tutti gli **archi che scoprono un nuovo nodo**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(archi + nodi log nodi)` |\n \n ## Pseudocodice\n \n ```python\n import math\n \n def minimum_spanning_tree_prim(graph, cost_array, start_node):\n # E' un Array di bool: se l'indice corrispondente al nodo è uguale a true, vuol dire che il (nodo è contenuto nell'albero.\n contains = [False for _ in range(len(graph))]\n # Contiene il precedente di ogni nodo \n prev = [None for _ in range(len(graph))]\n # Contiene il costo per arrivare a quel nodo\n cost = [math.inf for _ in range(len(graph))]\n # Creo la priority queue\n pq = PriorityQueue(graph.arcs, key=lambda arc: arc.cost)\n # Parto dal nodo `start_index`\n # Il costo dell'origine è 0.\n cost[start_node.index] = 0\n contains[start_node.index] = True\n \n while not pq.is_empty():\n new_node = pq.pop()\n contains[new_node.index] = True\n for arc in new_node.connections:\n other_node = arc.other(new_node)\n if not contains[other_node.index] and cost[other_node.index] > arc.cost:\n cost[other_node.index] = arc.cost\n prev[other_node.index] = new_node\n pq.decrease_priority_for(other_node, arc.cost)\n # L'array di prev rappresenta un albero.\n return prev\n ```_\n ")),n(r.a,null,n(a.a,null,"\n # Compressione\n\n _Comprimere_ un file significa **ridurne le dimensioni** senza modificarne il significato.\n \n ## Categorie\n \n ### Compressione lossless\n \n Nella _compressione lossless_, i dati possono essere decompressi riottenendo una copia identica dell'originale.\n \n > Immaginiamo un file che contiene solo le lettere `a, b, c, d, e, f`.\n >\n > Le lettere compaiono con questa frequenza:\n > |a|b|c|d|e|f|\n > |45%|13%|12%|16%|9%|5%|\n >\n > Possiamo codificare le lettere nel seguente modo:\n > |a|b|c|d|e|f|\n > |`0b0`|`0b100`|`0b101`|`0b111`|`0b1100`|`0b1101`|\n >\n > Scrivere `abacadae` richiederebbe 64 bits con la codifica ASCII estesa, ma in questo modo riusciamo a scriverlo con soli 17 bits!\n \n Le codifiche di un file compresso devono rispettare la proprietà del _Codice a prefisso_, che dice che **nessun codice deve essere il prefisso di un altro codice**; altrimenti, si avrebbero ambiguità nella decodifica.\n \n > a = `1`\n > b = `11`\n >\n > `111` è `ab`, `ba` oppure `aaa`?\n \n Creiamo allora un _albero di decodifica_: un **albero binario** che, leggendo uno ad uno i bit codificati, ci permette di arrivare al **valore del codice presente sulle foglie** dell'albero.\n \n Gli alberi di decodifica sono sempre **completi**.\n \n > Un albero di decodifica incompleto sarebbe non ottimizzato!\n \n #### Esempi\n \n - .png\n - .flac\n - .zip\n - ...\n \n ### Compressione lossy\n \n Nella _compressione lossy_, alcuni dati [solitamente](http://needsmorejpeg.com/) irrilevanti vengono perduti: non si può, dunque, ricostruire l'originale.\n \n #### Esempi\n \n - .jpeg\n - .mp3\n - ...\n ")),n(r.a,null,n(a.a,null,"\n # Algoritmo di Huffman\n\n L'_Algoritmo di Huffman_ è un **algoritmo greedy** per la **costruzione di un albero di decodifica**.\n \n ## Funzionamento\n \n 1. Costruisco **un albero** (con un solo nodo) **per ogni elemento dell'alfabeto**.\n 2. Associo ad **ogni albero la frequenza dell'elemento** da cui è stato creato, per poi inserire tutti gli elementi in una coda con priorità.\n 3. Finchè non ho **un albero solo**:\n 1. Estraggo dalla coda i **due alberi con frequenza minore**.\n 2. **Li rendo fratelli**, creando un nuovo nodo in cui sono uno figlio destro e uno figlio sinistro.\n 3. Associo al nuovo nodo la **somma delle frequenze dei due alberi**, e inserisco il nuovo albero nella coda.\n \n > È molto raro che venga un albero \"dritto\"; se succede, probabilmente c'è qualcosa che non va.\n ")),n(r.a,null,n(a.a,null,"\n # Dizionario\n \n Un _dizionario_ è una struttura dati che **associa dei valori a delle chiavi**.\n \n ## Proprietà\n \n - Ogni elemento del dizionario è un **valore** che è stato **associato a una chiave**.\n - Possiamo aggiungere nuovi elementi con il **metodo `add(chiave, valore)`**.\n - Posiamo estrarre elementi con il **metodo `get(chiave)`**, che restituirà il valore associato a `chiave`.\n - E' possibile rimuovere elementi con il **metodo `delete(chiave)`**.\n - Due elementi con **chiavi diverse** non devono **mai restituire lo stesso valore**.\n \n ## Metodi\n \n Beh... Non ha molto senso in questo caso...\n \n ```python\n dict()\n ```\n \n ## Implementazione con tabella hash\n \n Una _tabella hash_ è un'array di coppie **chiave-valore**, che formano l'insieme _universo_.\n \n Per determinare l'**indice dell'array** in cui inserire una coppia, usiamo una [funzione _hash_](https://it.wikipedia.org/wiki/Hash#Algoritmo_di_hash) sulla chiave, che restituirà **numeri da `0` a `len(hash_table)`**.\n \n ### Risoluzione collisioni\n \n Potrebbe capitare però che **due chiavi diverse abbiano lo stesso indice**. Dobbiamo allora usare un metodo di _risoluzione collisioni_, che mi permetta di distinguere tra chiavi diverse.\n \n #### Lista di trabocco\n \n Possiamo salvare nell'array **liste di coppie** chiave-valore; in caso di collisione, **aggiungo un nuovo elemento alla lista**.\n \n In media, ciascuna di queste liste conterrà `elementi_inseriti / dimensione_tabella` elementi.\n \n #### Indirizzamento aperto\n \n Possiamo decidere di mettere le coppie che non trovano posto nel loro indice in **un altro indirizzo vuoto** dell'array.\n \n Ci sono diversi modi in cui decidere il nuovo indirizzo, ognuno con vantaggi e svantaggi: si può scegliere quello successivo, oppure il primo vuoto dell'array, oppure un indirizzo casuale.\n \n > Python, nei `dict`, usa indirizzamento aperto pseudorandom.\n \n ### Costo computazionale\n \n - Aggiungere una chiave: `O(n)`\n - Trovare una chiave: `O(n)`\n - Eliminare una chiave: `O(n)`\n ")),n(r.a,null,n(a.a,null,"\n # Programmazione dinamica\n \n La _programmazione dinamica_ è una **tecnica** di programmazione che prevede l'**estensione di una soluzione ottima precedente**.\n \n Tutti i problemi in cui si può applicare si possono risolvere anche con la **ricorsione**, ma a differenza della ricorsione, questa tecnica riesce ad evitare di ricalcolare la soluzione per ogni chiamata ricorsiva, ottenendo quindi tempi molto migliori.\n \n Si può applicare solo se un problema ha una **sottostruttura ottimale**, ovvero se la soluzione ottima di un sottoproblema è inclusa nella soluzione ottima del problema. \n \n ## Esempi\n \n - _Problema dello zaino_\n - ...\n \n > Il cammino minimo per raggiungere un nodo in un DAG è dato da `arco.costo + arco.primo_nodo.costo_cammino_minimo()`.\n >\n > ```python\n > def SPD_PD(graph, start):\n > distance = [float(inf) for node in graph.nodes]:\n > distance[start] = 0\n > # I nodi devono essere in ordine di linearizzazione\n > for node in graph.nodes:\n > distance[node] = min([(arc.cost + distance[arc.other(node)] for arc in node.connections])\n > ```\n \n > Ho una sequenza di interi da `a_1` a `a_n`. Voglio trovare la sottosequenza crescente più lunga.\n >\n > 5 2 3 4 7 3 6 3 1 6\n >\n > Trovo tutte le sequenze lunghe 1, e le rendo nodi di un grafo diretto.\n >\n > Da ogni nodo, creo una connessione verso i suoi maggiori.\n >\n > Infine, cerco i cammini massimi del grafo. \n > \n > Essi saranno la soluzione del problema.\n \n > Trova la lunghezza della sottosequenza più lunga che termina con `j`.\n >\n > `L[j]` = lunghezza della sottosequenza più lunga che termina in `j`\n > \n > ```python\n > L[j] = max([1 + L[node] for arc in node.connections)]\n > ```\n >\n > Esempio:\n > ```python\n > L[9] = max([1+L[8], 1+L[3], 1+L[6]])\n > ```\n ")),n(r.a,null,n(a.a,null,"\n # Problema dello zaino\n \n Il problema dello zaino è un problema _pseudo-trattabile_: non abbiamo dimostrazioni di se sia trattabile o intrattabile.\n \n ## Descrizione\n \n > Sei un ladro, e devi mettere **più refurtiva possibile** nello zaino per scappare. \n > Lo zaino può portare **al massimo `dim` kili**.\n >\n > **Quali** (e quanti) oggetti scegli?\n \n | Input | Output |\n |-------|--------|\n | `dim`ensione_zaino, `n`umero_oggetti, `oggetto.peso`, `oggetto.valore` | `profitto_massimo` |\n \n ## Categorie\n \n ### Problema con ripetizione\n \n Puoi prendere **tutte le copie che vuoi** di un oggetto.\n \n #### Soluzione\n \n `K(dim)` è il valore massimo ottenibile con uno zaino di capacità `dim`.\n \n > Se `i` appartenesse alla soluzione ottima, allora `K(dim) = i.valore + K(dim - i.peso)`...\n \n Possiamo dire che `K(dim) = max(i.valore + K(dim - i.peso))`.\n \n Inoltre, `K(0) = 0`.\n \n Ci salviamo tutte le soluzioni da `K(0)` a `K(dim)`, e le usiamo per calcolare il massimo in seguito.\n \n Calcolare `K(dim)` avrà allora un costo di `O(n * dim)`:\n - `n`, perchè trovare il massimo è un'operazione lineare\n - `dim`, perchè `dim` sono tutti i casi tra i quali devo andare a provare\n \n Il costo computazionale, allora, è in `O(n * dim)`. \n \n Però, il **tempo richiesto** dal nostro algoritmo dipende non dalla lunghezza dell'input, bensì dal **valore numerico** di `dim`, che corrisponde alla dimensione dell'array delle soluzioni. \n Allora, si dice che l'algoritmo è in **tempo _pseudo-polinomiale_**.\n \n ### Problema senza ripetizione\n \n Si può prendere **ogni oggetto una volta sola**.\n \n #### Soluzione _bruteforce_\n \n Scelgo se prendere o no l'item 1.\n \n Si creano due percorsi:\n - Non prendo l'oggetto: `valore = 0, peso = 0`\n - Prendo l'oggetto: `valore = oggetto.valore, peso = oggetto.peso`\n \n Continuo a creare percorsi, creando una specie di albero binario.\n \n Se a un certo punto vedo che `valore = x, peso = K` e `valore < x, peso = K`, allora posso escludere automaticamente tutto il sottoalbero destro, perchè non può essere migliore del sinistro: allora, sarò riuscito a ridurre il numero dei casi rispetto alla ricorsione.\n \n ### Problema in due variabili\n \n `K(j, w)` = massimo valore ottenibile con uno zaino di capacità `w` scegliendo gli item da `1` a `j`.\n \n Non possiamo più applicare la soluzione bruteforce, perchè abbiamo due variabili, `j` e `w`.\n \n Allora, prendo l'elemento `j`. Esso può essere o non essere nella soluzione: mi calcolo entrambe le alternative, e mi tengo l'alternativa dal valore più alto.\n \n Se `j` non è nella soluzione, il risultato diventerà `K(j-1, w)`; se invece è nella soluzione, il risultato sarà `j.valore + K(j-1, w-j.peso)`.\n \n In pratica, prendiamo\n \n ```latex\n K(j, w) = max\n \\begin{cases}\n V_j + K(j-1, w-w_j)\n K(j-1, w)\n \\end{cases}\n ```\n \n Costruisco allora una matrice con `j` su un asse e `w` sull'altro. \n Riempio le caselle con il valore di `K(j, w)`. \n Nella casella con `K(j, w)` avremo la soluzione ottima.\n \n Il tempo necessario per riempire tutte le caselle è nuovamente `O(n * w)`, ancora **pseudopolinomiale**.\n \n Per sapere che oggetti ho messo o no devo tenere traccia in qualche modo della catena del calcolo, usando, ad esempio, una pila.\n ")),n(r.a,null,n(a.a,null,"\n # Problemi intrattabili\n \n ## Problema di Set-Cover\n \n ### Input\n \n `U`niverso di `e`lementi\n \n `S`ottoinsieme di `s`ottoinsiemi di elementi di `U`\n \n ### Output\n \n Il minimo `S'`ottoinsieme di `s`ottoinsiemi che copra completamente `U`.\n \n ### Soluzione in `O(n^d)`\n \n Non c'è.\n \n ### Non-soluzione alternativa\n \n Faccio una scelta greedy, ma non posso dimostrare in alcun modo che la soluzione ottenuta sia quella ottima. \n Infatti, l'algoritmo non dà sempre la soluzione ottima, ma dà una soluzione accettabile in tempo polinomiale.\n \n Seleziono sempre il sottoinsieme che copre più elementi mancanti possibili.\n \n #### Costo computazionale\n \n `Costo greedy <= log(numero_elementi) * Costo ottimo`\n ")))}}.call(this,i("hosL").h)}}]); -//# sourceMappingURL=route-AlgoritmiEStruttureDati.chunk.65c03.js.map \ No newline at end of file diff --git a/docs/route-AlgoritmiEStruttureDati.chunk.65c03.js.map b/docs/route-AlgoritmiEStruttureDati.chunk.65c03.js.map deleted file mode 100644 index 2e185aa..0000000 --- a/docs/route-AlgoritmiEStruttureDati.chunk.65c03.js.map +++ /dev/null @@ -1 +0,0 @@ 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\n \n {r`\n # Algoritmi e Strutture Dati\n\n Docente: [**Manuela Montangero**](mailto:manuela.montangero@unimore.it)\n\n Crediti: **9 CFU** (72 ore di lezione)\n\n Orario di ricevimento: **Giovedì dalle 14:30 alle 16:30**\n _Mandare una mail prima, altrimenti potrebbe andarsene_\n\n\n #### Regole particolari per le email\n\n - Oggetto \"ASD\"\n - Mail **firmata** con **nome e cognome**\n - Mail spedita dall'**account Unimore**\n\n ### Materiale\n\n Libri:\n - **Introduzione agli Algoritmi e Strutture Dati** di _T.H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein_\n\n **[Dolly (FIM)](https://dolly.fim.unimore.it/2018/course/view.php?id=26)**\n\n ### Tutorato\n\n Tutor: [**Gianluca d'Addese**](mailto:tutoratoalgoritmi@gmail.com)\n\n Cosa: **Esercizi sugli argomenti visti a lezione** e **preparatori all'esame**\n\n Quando: **Mercoledì dalle 09:00 alle 11:00**...?\n\n ### Esame\n\n Per iscriversi all'esame, bisogna aver passato:\n\n - Analisi matematica (propedeutica)\n - Programmazione I\n\n Formato:\n\n - Prima prova scritta\n - Risolvere problemi con algoritmi proposti a lezione\n - E' un test sulla preparazione\n - Dura 1h30m\n - Non si può usare nessun tipo di materiale\n - Seconda prova scritta\n - Proponi soluzioni per nuovi problemi non studiati a lezione\n - Domande teoriche sugli argomenti studiati\n - Dura 2h\n - E' il giorno dopo la prima prova\n - Si può utilizzare qualsiasi materiale, ma non deve permettere di comunicare\n - Orale facoltativo\n - Solo per chi supera entrambi gli scritti\n - Domande su quello che abbiamo visto a lezione (\"perchè gli algoritmi funzionano?\")\n - Informare via email entro 3 giorni dalla pubblicazione degli esiti della seconda prova\n - L'orale potrebbe migliorare o peggiorare il voto (anche \"molto\")\n\n **Attenzione:** Vengono verbalizzati anche i voti insufficienti; ricordarsi di rifiutarli!\n\n Ci sono i seguenti appelli:\n\n - 3 appelli tra Giugno e Luglio\n - 1 appello a Settembre\n - 2 appelli a Gennaio e Febbraio\n\n Vale il salto di appello se:\n\n - Uno studente regolarmente iscritto **non si presenta** all'appello e non ha avvisato via email almeno il giorno prima.\n - Uno studente ha riportato una **grave insufficienza** in uno dei due scritti, e l'appello successivo è nella stessa sessione\n\n\n ### Note\n\n Il corso è ben collegato con quello di Programmazione 2.\n\n Dormire non fa bene!\n `}\n \n \n {`\n # Il nome del corso\n\n ## Cosa sono gli algoritmi?\n\n Gli algoritmi sono modi sistematici per risolvere problemi.\n\n Sono fondamentali per sviluppare software, in quanto i computer sono eccellenti esecutori di algoritmi.\n\n ## Come si sviluppa un algoritmo?\n\n Innanzitutto, bisogna conoscere gli _input_ e gli _output_ del problema, rispettivamente i dati di partenza e i dati di arrivo di esso; si ha quindi una fase di **ricerca**.\n\n Poi, si deve trovare un procedimento che ci faccia risolvere il nostro problema: è quello che faremo in questa materia!\n\n Infine, bisogna scrivere la soluzione in un modo che possa essere eseguita da un computer: questa è la **programmazione**.\n\n ## Che tipo di problemi possiamo risolvere?\n\n Un algoritmo risolve problemi di tipo generale, non ci interessa sapere _il risultato di 123+456_, ma vogliamo sapere _il risultato di x+y_, dove x e y sono due numeri naturali qualsiasi.\n\n Un problema può essere quindi considerato circa come una **funzione matematica**, che connette ogni input a un output corrispondente.\n\n ## Che caratteristiche ha un algoritmo?\n\n Per prima cosa, ripetendo l'algoritmo più volte con lo stesso ingresso deve dare sempre la stessa uscita come **risultato**, finendo in un **tempo finito**.\n\n Deve essere **ben ordinato**: cambiando l'ordine in cui vengono effettuate le operazioni, è probabile che anche il risultato cambi!\n\n Le sue istruzioni devono essere **non ambigue**, cioè che non possano essere interpretate in più modi, e **effettivamente realizzabili**, cioè realizzabili con l'esecutore che vogliamo usare per eseguire l'algoritmo.\n\n ## Esistono algoritmi equivalenti?\n\n **Sì!** Possono esserci due algoritmi che dati gli stessi input, hanno gli stessi output, e quindi risolvono lo stesso problema.\n\n In compenso, possono avere un numero di operazioni diverse, e quindi essere **uno più veloce** (da eseguire) dell'altro.\n\n ## Come si verifica la correttezza di un algoritmo?\n\n L'algoritmo deve essere **valido per tutti gli input**, anche se questi sono infiniti.\n\n Possiamo effettuare prove matematiche per verificarne la correttezza; il **principio di induzione** è dunque una dei teoremi fondamentali dell'algoritmica.\n\n Possiamo però verificare la _non correttezza_ di un algoritmo trovando un singolo controesempio.\n `}\n \n \n {`\n # Efficienza degli algoritmi\n \n Un buon algoritmo deve essere **efficiente**, ovvero deve usare il minimo delle risorse necessarie, come _usare il minimo di tempo possibile_.\n \n ## Come misuriamo il tempo necessario?\n \n Cerchiamo di astrarre il tempo dal particolare esecutore, e andiamo a contare il numero di operazioni elementari richieste per eseguire il nostro algoritmo nel caso peggiore.\n \n Un algoritmo efficiente, infatti, all'aumentare dei dati in ingresso, diventerà sempre più veloce rispetto a uno non efficiente, anche su computer più lenti!\n \n > Il [Bubble Sort](https://en.wikipedia.org/wiki/Bubble_sort) è sempre più lento di un [Tree Sort](https://en.wikipedia.org/wiki/Tree_sort), anche su computer più lenti, perchè, dovendo ordinare liste sempre più lunghe, prima o poi si raggiunge un punto in cui il primo è più veloce (in termini di tempo) dell'altro.\n \n Dobbiamo andare a vedere, quindi, _il numero di operazioni richieste per ottenere il risultato nel caso peggiore_.\n \n Consideriamo operazioni sia operazioni aritmetiche sia operazioni logiche, e diciamo che ciascuna costa 1.\n \n > L'[algoritmo di Euclide](https://it.wikipedia.org/wiki/Algoritmo_di_Euclide) per l'MCD costa \\`3\\` per ogni iterazione (un giro del ciclo \\`while\\`). Diciamo, allora, che costa \\`3n\\`, dove \\`n\\` è il numero più alto dei due, perchè nel caso peggiore (uno dei due numeri è 1) l'algoritmo compie \\`n\\` iterazioni.\n \n ## Altri parametri ottimizzabili\n \n È possibile che alcuni algoritmi per vari motivi cerchino di ottimizzare altri parametri diversi dal tempo, come ad esempio _la dimensione dell'input_ o la _memoria utilizzata_. \n \n > Generalmente, questo viene fatto sui dispositivi embedded, con memoria molto limitata.\n \n ### Criteri di costo di memoria\n \n Ci sono vari criteri con cui stimare la memoria richiesta da un dato: è possibile che il costo risultante vari in base al criterio scelto!\n \n #### Criterio di costo logaritmico\n \n Un dato costa il numero di bit necessari per rappresentarlo.\n \n > Un int che contiene il numero \\`n\\` costa \\`log_2(n)\\`. \n > Un array di \\`[n]\\` numeri tutti uguali costa \\`n log_2(n)\\`.\n \n #### Criterio di costo uniforme\n \n Un dato costa il numero di elementi che lo costituiscono.\n \n > Un int che contiene il numero \\`n\\` costa \\`1\\`. \n > Un array di \\`[n]\\` numeri costa \\`n\\`. \n > Una matrice \\`[m][n]\\` costa \\`m*n\\`.\n `}\n \n \n {`\n # Modelli algoritmici\n\n Per progettare un algoritmo, abbiamo bisogno di sapere le proprietà del nostro esecutore, ovvero il suo _modello algoritmico_.\n \n > Ad esempio, dobbiamo sapere quali istruzioni è in grado di eseguire, e quanto tempo queste istruzioni richiedono.\n \n ## Il modello RAM\n \n Il modello in uso su tutti i computer attuali è il _modello RAM_: \n \n - In ogni cella di memoria può essere archiviato un dato.\n - Il **tempo di accesso** alle celle è **costante** per tutte le celle.\n - La **memoria** principale è **infinita**.\n - Si ha **un solo processore**.\n `}\n \n \n {`\n # Notazione asintotica\n \n La _notazione asintotica_ è un sistema per **stimare** velocemente il costo di un algoritmo complesso.\n \n Ci permette di **confrontare velocemente il caso peggiore** degli algoritmi.\n \n In particolare, consideriamo il _rapporto tra il numero di operazioni nel caso peggiore e la dimensione dell'input_.\n \n ## Limiti\n \n Possiamo dare a questa stima dei limiti, superiore e inferiore, che rappresenteranno rispettivamente un costo che non sarà **mai superato** e un costo che verrà **sempre superato**.\n \n Chiameremo questi limiti _upper bound_ e _lower bound_; la loro combinazione darà un _tight bound_.\n \n L'obiettivo sarà di _ricavare i bound più precisi possibile_ per un dato algoritmo, ovvero l'**upper bound più basso** e il **lower bound più alto**.\n \n ### O grande\n \n > \"O grande\" \n > O di g(n)\n > \"big-O\"\n \n Per rappresentare la stima, useremo una notazione particolare, detta _O grande_, con la seguente proprietà:\n - Date due funzioni \\`f(n) : N -> R\\` e \\`g(n) : N -> R\\`, diremo che \\`f(n) ∈ O(g(n))\\` se e soltanto se \\`∃ c > 0, n ≥ n_0\\` tali che \\`∀ n ≥ 0, f(n) ≤ c * g(n)\\`\n \n Quando una funzione è O grande di un altra, significa che **asintoticamente, la funzione in O grande è sempre maggiore di quella che sta venendo stimata**.\n \n > **Ipotesi** \n > - \\`f(n) = 2n² + 3n + 6\\` \n > - \\`g(n) = n²\\`\n >\n > **Tesi** \n > - \\`f(n) ∈ O(n²)\\`.\n >\n > **Svolgimento** \n > Scrivo una disequazione, lasciando intatto il termine noto: \n > 1. \\`2n² + 3n + 6 ≤ 2n² + 3n² + 6\\` \n > 2. \\`n² ≤ 2n² + 3n² + n² = 6n²\\` per \\`n ≥ 3\\`\n >\n > Sappiamo, allora, che \\`2n² + 3n + 6 ≤ 6n²\\`.\n \n #### Espressioni di O grande\n \n Questa tabella rappresenta le espressioni di O grande più comunemente utilizzate, in ordine **dalla più forte alla più debole**.\n \n > Più forte significa che, per ogni riga della tabella, tutte le righe sottostanti sono contenute nell'espressione.\n >\n > Ad esempio, \\`O(n) ∈ O(1)\\`.\n \n | Espressione O() | Nome |\n |-----------------|------|\n | \\`O(1)\\` | Costante |\n | \\`O(log log n)\\` | loglog |\n | \\`O(log n)\\` | Logaritmica |\n | ![LaTeX](https://latex.codecogs.com/png.latex?O(n^{1/c})) (per c ≥ 1) | Sublineare |\n | \\`O(n)\\` | Lineare |\n | \\`O(n log n)\\` | nlogn |\n | \\`O(n²)\\` | Quadratica |\n | \\`O(n³)\\` | Cubica |\n | \\`O(n^k)\\` (per k ≥ 1) | Polinomiale |\n | \\`O(a^n)\\` (per a ≥ 1) | Esponenziale |\n | \\`O(n!)\\` | Fattoriale |\n \n #### Polinomiale\n \n Molto spesso, noteremo che il tempo richiesto da una funzione è O grande di un polinomio di grado K, ovvero \\`f(n) ∈ O(n^k)\\`.\n \n Notiamo che in questi casi, possiamo semplificare l'O grande al grado massimo del polinomio.\n \n > Ad esempio, \\`O(n² + n + 1) = O(n²)\\`.\n \n ##### Dimostrazione\n \n Per \\`n > 0 \\\\and 0 ≤ i ≤ k\\`: \n ![LaTeX](https://latex.codecogs.com/png.latex?a_k%20n^k%20+%20a_{k-1}%20n^{k-1}%20+%20%E2%80%A6%20+%20a_1%20n%20+%20a_0%20%E2%89%A4%20|a_k|%20n^k%20+%20|a_{k-1}|%20n^k%20+%20%E2%80%A6%20+%20|a_1|%20n^k%20+%20|a_0|%20n^k%20=%20(|a_k|%20+%20|a_{k-1}|%20+%20%E2%80%A6%20+%20|a_1|%20+%20|a_0|)%20n^k)\n \n #### Proprietà di O grande\n \n 1. \\`f(n) ∈ O(g(n)) -> ∀ a > 0, a * f(n) ∈ O(g(n))\\`.\n 2. \\`f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) + d(n) ∈ O(g(n) + h(n)) -> O(max\\\\{g(n), h(n)\\\\})\\`\n 3. \\`f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) * d(n) ∈ O(g(n) * h(n))\\`\n \n In pratica, se una funzione è la _somma di più termini_, basta guardare l'**\\`O()\\` più grande** tra tutti i suoi termini; se invece una funzione è un _prodotto di più termini_, si possono **omettere le costanti**, e l'\\`O()\\` finale sarà dato dal **prodotto degli \\`O()\\`** dei termini.\n \n ## Lower bound\n \n Possiamo anche stimare il _lower bound_, il limite inferiore: il **numero minimo di operazioni** che viene effettuato **nel caso migliore** con la **massima dimensione dell'ingresso**.\n \n ### Ω()\n \n > \"Omega\" \n > Omega di g(n)\n > \"big-Omega\"\n \n Esiste un equivalente di O grande per il lower bound: è detto _Omega grande_, o più semplicemente _Omega_, e funziona nello stesso identico modo, solo... al contrario.\n \n Diremo che \\`f(n) ∈ Ω(g(n))\\` se e solo se \\`∃ c > 0, n_0 ≥ 0 : ∀ n ≥ n_0 f(n) ≥ c * g(n)\\`.\n \n #### Espressioni di Ω()\n \n Anche in questa tabella le espressioni sono **dalla più forte alla più debole**.\n \n | Espressione Ω() | Nome |\n |-----------------|------|\n | \\`Ω(n!)\\` | Fattoriale |\n | \\`Ω(a^n)\\` (per a ≥ 1) | Esponenziale |\n | \\`Ω(n^k)\\` (per k ≥ 1) | Polinomiale |\n | \\`Ω(n³)\\` | Cubica |\n | \\`Ω(n²)\\` | Quadratica |\n | \\`Ω(n log n)\\` | nlogn |\n | \\`Ω(n)\\` | Lineare |\n | ![LaTeX](https://latex.codecogs.com/png.latex?\\\\Omega(n^{1/c})) (per c ≥ 1) | Sublineare |\n | \\`Ω(log n)\\` | Logaritmica |\n | \\`Ω(log log n)\\` | loglog |\n | \\`Ω(1)\\` | Costante |\n \n ## Tight bound\n \n Quando **upper e lower bound coincidono**, allora otteniamo un _tight bound_.\n \n ### θ()\n \n > \"Theta\" \n > Theta di g(n)\n > \"big-Theta\"\n \n Anche per il tight bound abbiamo una notazione equivalente a O grande e Omega grande: _Theta grande_!\n \n Diciamo che \\`f(n) ∈ θ(g(n))\\` se e solo se \\`∃ c_1, c_2 > 0, n_0 ≥ 0 : ∀ n ≥ n_0, c_1 * g(n) ≤ f(n) ≤ c_2 * g(n)\\`.\n \n Ha la particolarità che non valgono tutte le proprietà degli altri due: va usata quindi con cautela!\n \n ## Risorse utili\n \n [khanacademy.org](https://www.khanacademy.org/computing/computer-science/algorithms/asymptotic-notation/a/big-big-theta-notation)\n `}\n \n \n {`\n # Problemi algoritmici\n \n Un _problema algoritmico_ è un problema matematico che si vuole provare a risolvere con un algoritmo.\n \n > Dati 10 numeri, voglio sapere se sono in ordine crescente oppure no.\n \n ## Caterigorizzazione\n \n I problemi algoritmici si dividono in tre categorie: problemi _trattabili_, problemi _intrattabili_ e problemi _irrisolvibili_.\n \n ### Problema trattabile\n \n Perchè un problema algoritmico sia _trattabile_, deve avere **almeno un algoritmo con upper bound polinomiale**.\n \n > Questo significa che il tempo impiegato da un computer per risolvere il problema rimane ragionevole, e che quindi può essere utilizzato in maniera efficiente.\n \n La trattabilità è un campo ancora parecchio aperto: esistono anche tanti problemi di cui non si è ancora dimostrata la trattabilità o intrattabilità.\n \n > La [fattorizzazione](https://it.wikipedia.org/wiki/Fattorizzazione) è uno di questi problemi: l'assenza di una dimostrazione è ciò che la rende uno dei pilastri della sicurezza informatica moderna.\n \n ### Problema intrattabile\n \n Se **un problema non ha nessun algoritmo con upper bound polinomiale**, allora si dice che è **intrattabile**.\n \n ### Problema irrisolvibile\n \n Se **non esistono algoritmi per risolvere un problema**, allora questo si dice **irrisolvibile**.\n \n > [Dato un algoritmo con certi input, riusciamo a capire con un algoritmo se la sua esecuzione termina o no?](https://en.wikipedia.org/wiki/Halting_problem)\n \n ### Upper e lower bound di problemi\n \n Si può anche trovare un _upper bound_ e un _lower bound_ per un problema, ma bisogna generalizzare di più.\n \n L'**upper bound di un problema** è il minimo upper bound di tutti gli algoritmi che lo risolvono; deve esistere almeno un algoritmo che lo risolva che abbia lo stesso _upper bound_. E' praticamente il tempo migliore per risolvere il problema dato.\n \n Il **lower bound di un problema** è il minimo lower bound di tutti gli algoritmi che lo risolvono; non deve esistere nemmeno un algoritmo che abbia un lower bound migliore. E' il numero assolutamente minimo di operazioni richieste, non si può fare meglio di così.\n \n In particolare, abbiamo che l'_upper bound di un algoritmo_ -> l'_upper bound del suo problema_, \n e il _lower bound di un problema_ -> il _lower bound di un suo algoritmo_.\n \n Generalmente, il _lower bound di un problema_ è una rappresentazione abbastanza accurata della sua difficoltà.\n `}\n \n \n {`\n # Ricerca binaria\n \n Non credo di aver bisogno di studiare la ricerca binaria, quindi non ho preso appunti a riguardo.\n \n Se non siete me, e state cercando informazioni a riguardo, andate a vedere su Wikipedia!\n `}\n \n \n {`\n # Divide et impera\n \n Un modo efficace per risolvere un problema è di usare il metodo _divide et impera (et combina)_.\n \n - _Divide_: Divido il problema in **tanti sottoproblemi**.\n - _Impera_: **Risolvo indipendentemente dal resto** ciascuno dei sottoproblemi.\n - _Combina_: **Combino** i risultati dei sottoproblemi per **risolvere il problema principale**.\n \n ## Ricorsione\n \n Un algoritmo (o funzione) si dice _ricorsivo_ quando durante l'esecuzione **richiama sè stesso**.\n \n Dato che tutti gli algoritmi devono avere termine entro un tempo finito, se scriviamo una funzione ricorsiva è fondamentale finire con un **caso base**, che non chiami ulteriormente la ricorsione.\n \n Se esiste una funzione ricorsiva, allora esiste _sempre_ una _funzione iterativa_ che darà lo stesso risultato.\n \n > Sul pratico, una funzione ricorsiva tipicamente è **più costosa** del suo equivalente iterativo: se possibile, quindi, la ricorsione andrebbe evitata.\n \n #### Pseudocodice di esempio\n \n \\`\\`\\`python\n def fattoriale(n):\n # Caso base; la ricorsione finisce e dà un risultato fisso\n if n <= 1:\n return 1\n # Caso ricorsivo; la funzione restituisce il risultato di sè stessa (ma con parametri diversi)\n else:\n return n * fattoriale(n - 1)\n \\`\\`\\`\n `}\n \n \n {`\n # Master Theorem\n \n Il _Master Theorem_ è uno dei teoremi più importanti dell'algoritmica.\n \n Esso permette di **calcolare l'upper bound di un algoritmo ricorsivo** in modo piuttosto semplice.\n \n ## Ipotesi\n \n Dato un algoritmo:\n - Con uno o più casi base\n - Che richiama la funzione ricorsiva un numero n di volte\n \n ## Tesi\n \n Allora, il suo upper bound avrà la formula:\n \n ![](https://quicklatex.com/cache3/89/ql_08d29a7e55d561a900570bc83b93ff89_l3.png)\n `}\n \n \n {`\n # Caso particolare del Master Theorem\n \n ## Ipotesi\n \n Se: \n ![](https://quicklatex.com/cache3/57/ql_e34dc27b42831d3c3ff671b0f3861257_l3.png)\n \n Ovvero, se la dimensione dell'input viene divisa ad ogni ciclo da una costante b, è polinomiale e il caso base è costante...\n \n ## Tesi\n \n Allora: \n ![](https://quicklatex.com/cache3/ca/ql_26e3557a6ca2d6ac4b8481e7c5263fca_l3.png)\n \n > In pratica, se il costo dominante è quello della parte \"fissa\" dell'algoritmo, esso sarà \\`O(n^d)\\`, mentre se il costo dominante è quello delle chiamate ricorsive, esso sarà \\`O(n^{log_b e})\\`. \n > Se nessuno dei due è dominante... si dividono circa in parti uguali, creando un costo di \\`O(n^d log n)\\`.\n `}\n \n \n {`\n # Ordinamento\n \n Un problema molto frequente nell'informatica consiste nell'**ordinare efficientemente grandi quantità di elementi**.\n \n Esistono [tantissimi](https://it.wikipedia.org/wiki/Algoritmo_di_ordinamento) algoritmi per effettuare l'ordinamento. \n L'**efficienza** di ciascuno **varia** di caso in caso: alcuni sono estremamente efficienti se quasi tutti i numeri sono già nell'ordine giusto; altri, invece, potrebbero impiegare tantissimo tempo.\n \n In termini matematici, abbiamo:\n \n - **Input:** A[n]\n - **Output:** B, ∀ i < n, A[i] ≤ A[i+1]\n \n ## Ordinamento tramite confronto\n \n L'ordinamento \"tradizionale\" è detto _ordinamento tramite confronto_: funziona sempre, e **non ha altri modi di ottenere informazioni** se non con l'operazione logica di confronto tra i dati.\n \n ### Limiti\n \n E' un problema risolto: è dimostrabile che il suo **lower bound** è **\\`Ω(n log n)\\`**; possiamo quindi dire che qualsiasi algoritmo di ordinamento è in \\`Ω(n log n)\\`, e se riusciamo a trovare un algoritmo di ordinamento in \\`O(n log n)\\` siamo riusciti a raggiungere il massimo dell'efficienza.\n \n #### Dimostrazione\n \n Consideriamo **tutte le possibili permutazioni** della sequenza da ordinare: sono \\`n!\\`.\n \n Per ogni confronto che effettuiamo, **riduciamo la quantità di permutazioni** correttamente ordinate; prima o poi, rimarrà **una sola possibilità**.\n \n **TODO, non trovo la spiegazione corretta!**\n \n ### Esempi\n \n Algoritmi che effettuano l'ordinamento tramite confronto sono:\n - _Bubble sort_\n - _Merge sort_\n - _Insertion sort_\n - _Quick sort_\n - _Heap sort_\n - E tanti, tanti altri!\n \n ## Ordinamento con altri mezzi\n \n Esistono algoritmi che ricavano informazioni in altri modi, diversi dal confronto.\n \n Essi possono avere un lower bound più basso di \\`O(n log n)\\`, però hanno spesso limitazioni sul loro utilizzo.\n \n ### Esempi\n \n - _Counting sort_, indicizza i valori da ordinare\n - _Radix sort_, guarda singolarmente le cifre dei valori\n - _Sleep sort_, sfrutta i thread e la funzione sleep per ordinare valori\n - E altri ancora!\n `}\n \n \n {`\n # Insertion sort\n \n L'_insertion sort_ è una soluzione **iterativa** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Considero la sequenza divisa in **due parti**: una parte **ordinata** e una parte **non ordinata**.\n \n Parto dal primo elemento della lista: è sempre ordinato con sè stesso. \n Poi, aggiungo uno alla volta i numeri della parte non ordinata a quella ordinata; prima trovo in quale posizione dovrò andare a mettere il numero, poi **faccio slittare tutti i numeri dopo quella posizione** avanti di 1, in modo da **creare lo spazio** in cui infine **inserirò** il numero.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(n²)\\` | \\`Ω(n)\\` | - |\n \n Nel _caso migliore_ (**lista già ordinata**), il numero da inserire è già nella posizione giusta, quindi non devo effettuare altri confronti oltre il primo, rendendo il lower bound dell'algoritmo \\`Ω(n)\\`.\n \n Nel _caso peggiore_ (**lista nell'ordine inverso**), dobbiamo confrontare il numero da inserire con tutti gli altri nella parte ordinata: dobbiamo allora eseguire \\`1+2+3+4+5+… = \\\\frac{(n-1)(n)}{2}\\` confronti; ciò significa che l'upper bound è \\`O(n²)\\`!\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def insertion_sorted(lista):\n # Itero su tutti i numeri della lista, dal primo all'ultimo.\n for divisore_ord in range(len(lista)):\n # Partendo dalla posizione attuale, creo l'indice di divisione numeri ordinati maggiori e minori\n divisore_magg = divisore_ord\n # Faccio slittare avanti i numeri maggiori di quello che stiamo inserendo\n # Se l'indice divisore_magg raggiunge 0, vuol dire che tutti i numeri della lista sono maggiori del numero attuale \n while divisore_magg >= 0 and lista[divisore_magg-1] > lista[divisore_magg]:\n # Scambio la posizione dei due elementi con gli indici specificati\n # Funzione inventata \n lista[divisore_magg], lista[divisore_magg-1] = lista[divisore_magg-1], lista[divisore_magg]\n # Diminuisco il separatore di 1\n divisore_magg -= 1\n \\`\\`\\`\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting)\n `}\n \n \n {`\n # Merge sort\n \n Il _merge sort_ è una soluzione **ricorsiva** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Per questo algoritmo, utilizziamo la tecnica del **divide et impera**.\n \n 1. _Divide_: Divido A in **due parti**.\n 2. _Impera_: Metto **separatamente in ordine** le parti.\n 3. _Unisci_: **Unisco** le due parti.\n \n Consideriamo come **caso base** della ricorsione una parte composta da un numero, che ovviamente è già ordinata con sè stessa.\n \n ### Merge\n \n Per **unire le due parti** usiamo una funzione detta \\`merge()\\`.\n \n Costruiamo una nuova sequenza uguale alla sequenza 1, ma **aggiungiamo alla fine un valore sentinella** sempre maggiore di tutti gli elementi contenuti.\n \n > \\`\\`\\`\n > | 1 | 3 | 7 | 8 | ∞ |\n > \\`\\`\\`\n \n Facciamo **la stessa cosa** per la sequenza due.\n \n > \\`\\`\\`\n > | 2 | 4 | 5 | 6 | ∞ |\n > \\`\\`\\`\n \n Prendo i primi numeri delle due sequenze e **metto il più piccolo nella sequenza iniziale**.\n \n > \\`\\`\\`\n > | 1 | 2 | 3 | | | | | | \n > | | | 7 | 8 | ∞ | \n > | | 4 | 5 | 6 | ∞ | \n > \\`\\`\\`\n \n **Continuo** finchè non ho messo tutti i numeri; **grazie alla sentinella non usciremo mai dalla sequenza**, in quanto essa è sempre maggiore di tutti gli altri numeri.\n \n > \\`\\`\\`\n > | 1 | 2 | 3 | 4 | 5 | 6 | | | \n > | | | 7 | 8 | ∞ | \n > | | | | | ∞ |\n > \\`\\`\\`\n \n Quando **rimangono solo le sentinelle** significa che abbiamo aggiunto tutti gli elementi, e quindi abbiamo finito.\n \n > \\`\\`\\`\n > | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | \n > | | | | | ∞ | \n > | | | | | ∞ | \n > \\`\\`\\`\n \n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(n log n)\\` | \\`Ω(n log n)\\` | **\\`θ(n log n)\\`** |\n \n Il merge sort è un algoritmo ricorsivo con un **caso base in tempo costante** e che **richiama sè stesso 2 volte**.\n \n \\`\\`\\`latex\n T(n) =\\\\\\\\\n \\\\\\\\\n Θ(1) \\\\qquad n=1\\\\\\\\\n 2 T(\\\\frac{n}{2}) + Θ(n) \\\\qquad n \\\\neq 1\n \\`\\`\\`\n \n Applicando il **caso particolare del Master Theorem**, otteniamo:\n \n \\`\\`\\`latex\n T(n) =\\\\\\\\\n \\\\\\\\\n Θ(1) \\\\qquad n=1\\\\\\\\\n Θ(n log n) \\\\qquad n \\\\neq 1\n \\`\\`\\`\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def merge_sorted(part):\n # Caso base\n if len(part) == 1:\n return part\n # Divide\n middle = len(part) // 2\n part_a = part[:middle]\n part_b = part[middle:]\n # Impera\n sort_a = merge_sorted(part_a)\n sort_b = merge_sorted(part_b)\n # Combina\n return merge(sort_a, sort_b)\n \\`\\`\\`\n \n ## Visualizzazione\n \n [hackerearth.com](https://www.hackerearth.com/practice/algorithms/sorting/merge-sort/visualize/)\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: visualizza solo la fase _Unisci_ del sort)\n `}\n \n \n {`\n # Quick sort\n \n Il _quick sort_ è un altro approccio **ricorsivo** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Anche qui, applichiamo il **divide et impera**.\n \n 1. _Divide_: Scelgo un **pivot** qualsiasi all'interno della lista. Metto alla sua **sinistra tutti i numeri minori** e alla sua **destra tutti i numeri maggiori**.\n 2. _Impera_: Eseguo un **quick sort su entrambe le sottoliste**.\n \n ### Esempi\n \n #### Iterazione con partizioni bilanciate\n \n Osserviamo come si formi una partizione con tre elementi e una con quattro. \n \n \\`\\`\\`\n |¦ [2] 8 7 1 3 5 6 {4}\n 2 |¦ [8] 7 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 7 ¦ [1] 3 5 6 {4}\n 2 1 |7 8 ¦ [3] 5 6 {4}\n 2 1 3 |8 7 ¦ [5] 6 {4}\n 2 1 3 |8 7 5 ¦ [6] {4}\n 2 1 3 |8 7 5 6 ¦ [{4}]\n [2 1 3] {4} [8 5 6 7]\n \\`\\`\\`\n \n #### Iterazione con partizioni sbilanciate\n \n Osserviamo come si formi una partizione con **zero elementi** e una con tre.\n \n \\`\\`\\`\n |¦ [4] 7 3 {1}\n |4 ¦ [7] 3 {1}\n |4 7 |¦ [3] {1}\n |4 7 3 |¦ [{1}]\n [] {1} [4 7 3]\n \\`\\`\\`\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(n²)\\` | \\`Ω(n log n)\\` | - |\n \n Il costo della funzione è dato dalla somma del costo per **dividere in due partizioni** con il costo per realizzare il **Quick sort delle due sottopartizioni**\n \n Possiamo applicare allora il **Master Theorem generale**:\n \n \\`\\`\\`latex\n T(n)\\\\\\\\\n =\\\\\\\\\n Θ(1) \\\\qquad per\\\\ n = 1\\\\\\\\\n T(q) + T(dim_lista - pivot - 1) + Θ(n) \\\\qquad per\\\\ n > 1\n \\`\\`\\`\n \n ### Il caso migliore\n \n Se il pivot \\`q\\` è la **mediana della partizione** che stiamo ordinando, si vengono a creare due _sottopartizioni bilanciate_, e sostituendo otteniamo:\n \n \\`\\`\\`latex\n T(n)\\\\\\\\\n =\\\\\\\\\n Θ(1) \\\\qquad per\\\\ n = 1\\\\\\\\\n 2 T(\\\\frac{n}{2}) + Θ(n) \\\\qquad per\\\\ n > 1\n \\`\\`\\` \n \n Possiamo allora applicare il **Master Theorem particolare**:\n \n \\`\\`\\`latex\n T(n)\\\\\\\\\n =\\\\\\\\\n Θ(1) \\\\qquad per\\\\ n = 1\\\\\\\\\n Θ(n log n) \\\\qquad per\\\\ n > 1\n \\`\\`\\`\n \n ### Il caso peggiore\n \n Se il pivot è uno degli **estremi dell'array**, si creano due _partizioni sbilanciate_: una delle due sottoliste è sempre vuota! \n Allora:\n \n \\`\\`\\`latex\n T(n) = T(n-1) + Θ(n)\\\\\\\\\n = T(n-2) + Θ(n-1) + Θ(n)\\\\\\\\\n = T(n-3) + Θ(n-2) + Θ(n-1) + Θ(n)\\\\\\\\\n = …\n ∈ Θ(n^2)\n \\`\\`\\`\n \n > \"Non date da mangiare sequenze ordinate al Quicksort, gli sono indigeste.\"\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def partition(partizione, inizio, fine):\n \"\"\"Dividi una partizione in due, usando l'ultimo elemento come pivot.\n \n Note utili:\n partizione[fine] è il pivot\n partizione[maggiori] è il primo numero dei maggiori\n partizione[non_iterati] è l'elemento su cui si sta iterando al momento\"\"\"\n # Crea il primo separatore (la | pipe nell'esempio)\n maggiori = inizio\n # Crea il secondo separatore (la ¦ broken pipe nell'esempio)\n non_iterati = inizio\n # Itera su ogni numero tra inizio e fine (escluso!)\n while non_iterati < fine:\n # Se l'elemento su cui stiamo iterando è minore del pivot\n if partizione[non_iterati] <= partizione[fine]:\n # Mettilo nell'insieme dei minori, scambiandolo con il primo numero dei maggiori e incrementando il primo separatore\n partizione[maggiori], partizione[non_iterati] = partizione[non_iterati], partizione[maggiori]\n maggiori += 1\n # Incrementa sempre il secondo separatore\n non_iterati += 1\n # Inserisci il pivot tra le due sottopartizioni create, \n partizione[fine], partizione[non_iterati] = partizione[non_iterati], partizione[fine]\n return maggiori\n \\`\\`\\`\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: invece che prendere l'ultimo numero come pivot prende il primo, cambiando leggermente l'algoritmo.)\n \n ## Note per l'esame\n \n > La domanda che fa sempre è **\"Qual è la sequenza di pivot utilizzata?\"**\n \n > Elementi da soli _non_ vengono presi come pivot!\n `}\n \n \n {`\n # Counting sort\n\n Il _counting sort_ è un approccio diverso all'ordinamento: **non usa il confronto**!\n \n ## Requisiti\n \n Il counting sort può essere utilizzato solo su **sequenze di numeri interi**, e solo se **siamo a conoscenza del minimo e del massimo** dei numeri contenuti nell'array, ed essi non sono troppo distanti uno dall'altro. \n (La memoria occupata dal counting sort aumenta linearmente con la differenza tra minimo e massimo!)\n \n Per semplicità, consideriamo il **minimo \\`0\\`**. \n L'input allora sarà una sequenza di interi \\`A\\`, e il valore del **massimo \\`k\\`**, tale che \\`∀ n ∈ A, 0 \\\\leq n \\\\leq K\\`.\n \n ## Funzionamento\n \n Il counting sort **conta le ripetizioni** delle chiavi nella sequenza originale e in seguito **sovrascrive i valori** della sequenza con i valori ordinati ripetuti il numero di volte che sono stati individuati nella sequenza.\n \n > \\`\\`\\`\n > 1 4 5 3 4 1 4 2 5 1\n > \\`\\`\\`\n >\n > L'\\`1\\` appare 3 volte, il \\`2\\` 1 volta, il \\`3\\` 1 volta, il \\`4\\` tre volte e il \\`5\\` due volte.\n >\n > La sequenza viene quindi così sovrascritta:\n > \\`\\`\\`\n > 1 1 1 3 4 1 4 2 5 1 # Sovrascriviamo la sequenza con 1 ripetuto 3 volte\n > 1 1 1 2 3 4 4 4 5 1 # Sovrascriviamo la sequenza con 2, 3, 4 ripetuti rispettivamente 1 1 e 3 volte\n > 1 1 1 2 3 4 4 4 5 5 # Sovrascriviamo la sequenza con 5 ripetuto 2 volte: abbiamo finito!\n > \\`\\`\\` \n \n Esiste anche una **versione stabile** del counting sort che, invece che sovrascrivere, **sposta i valori**, mantenendo le informazioni aggiuntive nel caso invece che interi fossero altri tipi di dati.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(k + n)\\` | \\`Ω(k + n)\\` | **\\`θ(k + n)\\`** |\n \n L'algoritmo è composto da quattro parti:\n - Ricerca del minimo e massimo (in \\`θ(n)\\`)\n - Inizializzazione dell'indice (in \\`θ(k)\\`)\n - Conteggio dei numeri (in \\`θ(n)\\`)\n - Sovrascrittura dei numeri (in \\`θ(k + n)\\`)\n \n \\`2 + O(k) + O(n) + O(k + n) -> O(k + n)\\`\n \n Notiamo che \\`k\\` è costante, l'algoritmo è \\`O(n)\\`, estremamente efficiente.\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def counting_sort(lista: typing.List[int]):\n \"\"\"Ordina in-place una lista con il counting sort.\"\"\"\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Sovrascrivo i numeri nella lista\n count = 0\n for pos, val in enumerate(indice):\n for _ in range(val):\n indice[count] = pos\n count += 1\n \n def stable_counting_sorted(lista: typing.List[int], k: int) -> typing.List[int]:\n \"\"\"Ordina stabilmente una lista con il counting sort stabile, e restituiscila.\"\"\"\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Faccio diventare l'indice \"il numero di numeri \\\\leq i\"\n for i in range(len(indice)):\n if i == 0:\n continue\n indice[i] += indice[i-1]\n assert indice[-1] == dim\n # Creo una nuova lista, che sarà quella che verrà restituita\n nuova = [None for _ in range(dim)]\n # Inizio a posizionare i numeri, al contrario\n for i in range(0, dim, -1):\n nuova[indice[lista[i]]] = lista[i]\n indice[lista[i]] -= 1\n return nuova\n \\`\\`\\`\n `}\n \n \n {`\n ## Introduzione alle Strutture Dati\n\n Una _struttura dati_ è un modo in cui si possono organizzare i dati di un programma.\n \n Si possono definire in due modi: **elementari** e **astratte**.\n \n ### Strutture dati elementari\n \n Le strutture _elementari_ dipendono strettamente dal modo in cui vengono memorizzati i dati.\n \n > **Array** e **liste** sono strutture dati elementari: sono definite dicendo come sono memorizzati i dati, rispettivamente, in celle contigue di memoria e da una serie di nodi con un valore e che puntano al successivo.\n \n ### Strutture dati astratte\n \n Le strutture _astratte_ sono separate dal modo in cui vengono memorizzati i dati, sono più ad alto livello, e si definiscono descrivendo le **proprietà** della struttura e i **metodi** che su di essa possono essere effettuate.\n \n > Una _classe_ in un qualsiasi linguaggio di programmazione è una struttura dati astratta.\n \n > Una _pila_ astratta:\n > - memorizza dati tutti dello stesso tipo\n > - \\`pop()\\`, estrae dalla pila l'ultimo valore inserito\n > - \\`push(val)\\`, aggiunge alla pila un valore\n > - \\`top()\\`, permette di vedere l'ultimo valore inserito nella pila\n > - \\`vuota()\\`, dice se la pila è vuota oppure no.\n `}\n \n \n {`\n # Array\n\n Un _array_ è sequenza di dati di **lunghezza conosciuta**, tutti dello **stesso tipo** e di una **dimensione fissa**, immagazzinata in **blocchi di memoria contigui**.\n \n ## Proprietà\n \n - E' possibile accedere a tutti i blocchi di memoria conoscendo la loro **posizione relativa al primo** elemento.\n \n ## Metodi\n \n \\`\\`\\`python\n class Array:\n def __init__(self, size, type=int): \"Crea un array di dimensione size di elementi di tipo int.\"\n def __getitem__(self, index): \"Restituisci il valore alla posizione index.\"\n def __setitem__(self, index, value): \"Cambia il valore alla posizione index.\"\n \\`\\`\\`\n \n ### Costo computazionale\n \n Tutte le operazioni su un array sono in **accesso immediato \\`O(1)\\`**!\n `}\n \n \n {`\n # Lista\n \n Una _lista_ è una sequenza di dati immagazzinata in **blocchi di memoria qualsiasi**.\n \n ## Proprietà\n \n Ogni dato ha un **riferimento** alla collocazione di memoria **successiva** (un puntatore): insieme, sono detti un _nodo_.\n \n E' di **natura ricorsiva**: qualsiasi nodo di una lista può essere visto come inizio della lista con sè stesso e i suoi successivi.\n \n ## Metodi\n \n \\`\\`\\`python\n class LinkedList:\n def __init__(self, value, next: typing.Optional[Node] = None):\n self.value = value\n self.next: typing.Optional[Node] = next\n \n def is_empty(self) -> bool: \"Restituisce se la lista è vuota o no.\"\n def is_full(self) -> bool: \"Restituisce se la lista è piena o no.\n def append(self, value): \"Aggiunge un nuovo elemento in testa alla lista.\"\n def insert(self, value, index): \"Inserisce un elemento dopo il nodo in posizione index.\"\n def insert_node(self, value, node): \"Inserisce un nuovo elemento subito dopo un dato nodo.\"\n def find(self, node) -> int: \"Trova l'indice del nodo.\"\n def delete(self, value): \"Elimina il primo nodo con quel valore dalla lista.\"\n def delete_node(self, node): \"Elimina il nodo dalla lista.\"\n def forward(self, index) -> Node: \"Restituisce il nodo in posizione index.\"\n \\`\\`\\`\n \n ### Costo computazionale\n \n #### \\`List.forward(index)\\`\n \n Per raggiungere l'\\`n\\`-esimo elemento, bisogna _scorrere tutti gli elementi prima di esso_: è dunque un **accesso sequenziale** in **\\`O(n)\\`**.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n `}\n \n \n {`\n # Coda (Queue)\n\n Una _coda_ è come una pila, ma segue la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo \\`enqueue()\\`**\n - I dati possono essere estratti solo tramite il **metodo \\`dequeue()\\`**\n - Verranno restituiti i valori inseriti secondo la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n > Hai presente quando fai la fila per pagare al supermercato? Beh, è quello, però non si possono superare le altre persone in nessun modo.\n \n ## Metodi\n \n \\`\\`\\`python\n class Queue:\n def __init__(self): \"Crea una nuova coda.\"\n def is_empty(self) -> bool: \"Restituisce vero se la coda è vuota.\"\n def enqueue(self, data): \"Aggiunge un dato alla coda.\"\n def first(self) -> ...: \"Restituisce il primo dato della coda.\"\n def dequeue(self) -> ...: \"Restituisce il primo dato della coda e lo rimuove.\"\n \\`\\`\\`\n \n ## Implementazione tramite lista\n \n Posso implementare la coda con una lista, ma per realizzare l'implementazione più efficiente devo tenere anche un puntatore all'ultimo elemento della coda, in modo da non doverla scorrere ogni volta che voglio effettuare un'operazione.\n \n Chiamiamo i due puntatori \\`head\\` e \\`tail\\` rispettivamente.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n `}\n \n \n {`\n # Pila (Stack)\n\n Una _pila_ è una struttura dati contenente **valori omogenei**.\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo \\`push()\\`**\n - I dati possono essere estratti solo tramite il **metodo \\`pop()\\`**\n - Verranno restituiti i valori inseriti secondo la strategia **Last In, First Out** (l'ultimo inserito sarà il primo a essere estratto).\n \n > Ci si può immaginare una pila di libri, da cui si può solo prendere un libro alla volta, quello più in alto.\n \n ## Metodi\n \n \\`\\`\\`python\n class Stack:\n def __init__(self): \"Crea una nuova pila.\"\n def is_empty(self) -> bool: \"Restituisce vero se la pila è vuota.\"\n def push(self, data): \"Aggiunge un dato alla pila.\"\n def top(self) -> ...: \"Restituisce il primo dato della pila.\"\n def pop(self) -> ...: \"Restituisce il primo dato della pila e lo rimuove.\"\n \\`\\`\\`\n \n ## Implementazione tramite lista\n \n Utilizzando una lista possiamo realizzare una pila!\n \n La direzione dei puntatori sarà dall'ultimo al primo, che non punterà più a nessuno.\n \n Il costo di tutti i metodi è \\`Θ(1)\\`!\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n `}\n \n \n {`\n # Albero radicato\n \n Un _albero radicato_ è una struttura dati di **natura ricorsiva** che organizza i dati in maniera **non-lineare**.\n \n ## Proprietà\n \n - Ogni nodo dell'albero ha un **unico genitore**: \\`∀ (padre, figlio), (padre' figlio) ∈ E \\\\implies padre = padre'\\`\n - Ogni nodo dell'albero può avere **un numero qualsiasi di figli**.\n \n - I **nodi superiori al padre** vengono chiamati _antenati_.\n - I **nodi inferiori ai figli** vengono chiamati _discendenti_.\n \n - Nodi **senza padre** sono detti _radice_: \\`\\\\notexists (padre, radice) ∈ E\\`\n - Nodi **con padre e figli** sono detti _rami_ o interni.\n - Nodi **senza figli** sono detti _foglie_.\n \n - La **distanza** tra il nodo radice e i suoi discendenti è detta _livello_:\n - I figli immediati sono di livello 1.\n - I \"nipoti\" (figli dei figli) sono di livello 2.\n - I figli dei nipoti sono livello 3.\n - E così via.\n - Il **livello massimo** all'interno di un albero è detto _altezza_, _profondità_ oppure _h_, ed è sempre \\`1 ≤ h ≤ n-1\\`.\n \n - Un albero ha sempre \\`n-1\\` archi.\n \n ## Alberi particolari\n \n ### Alberi \\`d\\`-ari\n \n Un albero _\\`d\\`-ario_ è un particolare tipo di albero che **limita il numero massimo di figli di un nodo** a \\`d\\`.\n \n > Un albero _binario_ può avere **massimo 2 figli** per ogni nodo; un albero _ternario_ ne può avere **3**; un albero _\\`17\\`-ario_ ne potrà avere **17**\n \n #### Alberi completi\n \n Un albero \\`d\\`-ario si dice _completo_ se **tutti i nodi hanno 0 o \\`d\\` figli**, e mai una numero in mezzo.\n \n #### Alberi bilanciati\n \n Un albero \\`d\\`-ario si dice _bilanciato_ se **tutti i livelli eccetto l'ultimo** hanno il numero massimo di figli.\n \n #### Alberi perfettamente bilanciati\n \n Un albero \\`d\\`-ario si dice _perfettamente bilanciato_ se **tutti i livelli incluso l'ultimo** hanno il numero massimo di figli.\n \n ##### Particolarità degli alberi binari perfettamente bilanciati\n \n Si può dimostrare per induzione che:\n - Hanno sempre \\`2^h\\` foglie.\n - Hanno sempre \\`2^{h+1}-1\\` (\\`\\\\sum_i=0^n 2^i\\`) nodi.\n - L'altezza è in \\`Θ(log n)\\`.\n \n ## Implementazione degli alberi\n \n Possiamo scegliere se usare una rappresentazione con array o con nodi e puntatori: ognuna ha vantaggi e svantaggi diversi.\n \n ### Implementazione tramite array\n \n E' suggerito se l'albero è regolare; più è simile a un albero d-ario completo, meglio è.\n \n ### Implementazione tramite nodi e puntatori\n \n Più adatta ad alberi irregolari.\n \n Se l'albero è regolare, creiamo il numero esatto di campi:\n \n - Valore\n - Figlio1\n - Figlio2\n - _Opzionale:_ Padre\n \n Se un albero è irregolare, creiamo una specie di lista:\n \n - Valore\n - Primo figlio\n - Prossimo fratello\n - _Opzionale:_ Padre\n `}\n \n \n {`\n #### Breadth-first search (BFS)\n\n La _breadth-first search_ è un algoritmo che visita **ogni livello** dell'albero in ordine, dal più basso al più alto.\n \n ## Funzionamento\n \n > 1. __Visita radice__\n > 2. __Visita figli__\n > 3. __Visita nipoti__\n > 4. __Visita pronipoti__\n \n Si può implementare con una coda, in cui verranno inseriti i figli del nodo visitato da visitare ed estratti dopo avere completato la visita del livello attuale.\n \n ## Pseudocodice \n \n \\`\\`\\`python\n def bfs(radice):\n c = Queue()\n c.enqueue(radice)\n while not c.is_empty():\n nodo = c.dequeue()\n print(nodo)\n for figlio in nodo.figli:\n nodo.enqueue(figlio)\n \\`\\`\\`\n `}\n \n \n {`\n # Depth-First Search\n\n La _depth-first search_ è un algoritmo che visita **tutti i sottoalberi di un figlio** prima di passare ad un altro sfruttando la natura ricorsiva degli alberi.\n \n ## Funzionamento\n \n Ci sono diverse versioni della depth-first search: ognuna visita la radice in un momento diverso.\n \n ### DFS previsita (pre-order)\n \n La _DFS pre-visita_ visita la **radice per prima**, poi tutti i sottoalberi formati dai figli uno dopo l'altro.\n \n > 1. __Visita radice__\n > 2. dfs_pre_order(figlio1)\n > 3. dfs_pre_order(figlio2)\n \n ### Postvisita (post-order)\n \n La _DFS postvisita_ visita prima tutti i sottoalberi dei figli, e **alla fine la radice**.\n \n > 1. dfs_post_order(figlio1)\n > 2. dfs_post_order(figlio2)\n > 3. __Visita radice__\n \n ### Invisita (in-order)\n \n La _DFS invisita_ visita **un certo numero di figli**, poi la radice, e infine i figli restanti.\n \n > 1. dfs_in_order(figlio1, 1)\n > 2. __Visita radice__\n > 3. dfs_in_order(figlio2, 1)\n `}\n \n \n {`\n # Albero binario di ricerca\n\n ## Proprietà\n \n - Albero **binario**\n - Chiavi appartenenti ad un **insieme totalmente ordinato** (N, Q, R, ma non C)\n \n - Per ogni nodo con valore \\`x\\`, se un valore \\`v\\` è nel sottoalbero di sinistra allora \\`v ≤ x\\`, mentre se è nel sottoalbero di destra allora \\`v > x\\`.\n \n ## Costo computazionale\n \n - Trovare un valore: \\`O(h)\\`\n - Ordinare i valori: \\`O(n)\\`\n - Trovare il minimo: \\`O(h)\\`\n - Trovare il massimo: \\`O(h)\\`\n - Inserire un elemento: \\`O(h)\\`\n - Cancellare un elemento: \\`O(h)\\`\n \n \\`h\\` vale \\`log n\\` in un albero perfettamente bilanciato, e più l'albero diventa sbilanciato, più si avvicina a \\`n\\`, raggiungendola nel caso l'albero sia una lista.\n \n ## Pseudocodice\n \n ### Cancellazione ricorsiva\n \n \\`\\`\\`python\n def delete(tree, key):\n if tree is not None:\n # Se ho trovato il nodo che cercavo...\n if tree.key == key:\n # E c'è una sola diramazione...\n # Semplicemente stacca il nodo come in una lista.\n if tree.left is None:\n return tree.right\n if tree.right is None:\n return tree.left\n # Altrimenti, diventa il minimo dell'albero di destra\n tree.key = tree.right.min()\n # Ed eliminalo dal sottoalbero\n tree.right = delete(tree.right, tree.key)\n # Se la chiave attuale è diversa da quella che cerchiamo, continuo a navigare l'albero\n elif tree.key < key:\n tree.left = delete(tree.left, key)\n else:\n tree.right = delete(tree.right, key)\n return tree\n \\`\\`\\`\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/bst)\n \n ## Approfondimenti\n \n Esistono alberi più avanzati che mantengono le proprietà degli alberi binari di ricerca, ma che si autobilanciano, come il [Red Black Tree](https://it.wikipedia.org/wiki/RB-Albero).\n `}\n \n \n {`\n # Heap binario\n \n L'_heap binario_ è un **albero binario bilanciato a sinistra**.\n \n ## Proprietà\n \n - _Proprietà strutturale_:\n - L'albero è **perfettamente bilanciato** in tutti i livelli tranne l'ultimo\n - Nell'ultimo livello, le foglie occupano le **posizioni più a sinistra** possibili\n - _Proprietà di ordinamento_:\n - La chiave di un qualsiasi nodo è **più piccola** di tutte quelle dei nodi **del suo sottoalbero**\n \n ## Metodi\n \n \\`\\`\\`python\n class Heap:\n def __init__(self, H): ...\n def _heapify_ancestors(self, i): \"Ripristina le proprietà dell'heap per il nodo all'indice specificato e i suoi genitori.\"\n def minimum(self): \"Restituisce la chiave con il valore minimo in H.\"\n def decrease_value(self, index, new_value): \"Diminuisce il valore della chiave all'indice index a new_value.\"\n def insert(self, value): \"Inserisci un nuovo valore nell'albero.\"\n def _heapify_children(self, i): \"Ripristina le proprietà dell'heap per il nodo all'indice specificato e i suoi figli.\"\n def pop(self): \"Restituisce la chiave con il valore minimo, e la elimina.\"\n def from_list(l): \"Crea un heap da una lista.\"\n \\`\\`\\`\n \n ## Implementazione con un array\n \n Possiamo implementare l'albero utilizzando un array con le chiavi dell'albero memorizzate nell'ordine _breadth-first_.\n \n L'indice del figlio sinistro può essere trovato a \\`2i+1\\`, mentre l'indice del figlio sinistro può essere trovato a \\`2i+2\\`; il genitore è a \\`i//2-1\\`.\n \n ### Pseudocodice\n \n \\`\\`\\`python\n class Heap:\n def __init__(self, size):\n self.array = Array(size) # Il tipo Array non esiste; consideriamolo pseudocodice\n self.next_value = 0\n \n def _heapify_ancestors(self, index)\n \"\"\"Ripristina le proprietà dell'heap per il nodo all'indice specificato e i suoi genitori.\n \n Costo:\n O(log n)\"\"\"\n # Trovo l'indice del genitore\n parent = index // 2 - 1\n # Controllo se viene mantenuta la proprietà di ordinamento dell'heap\n if self.array[index] < self.array[parent]:\n # Scambio i valori dei due nodi\n self.array[index], self.array[parent] = self.array[parent], self.array[index]\n # Faccio la stessa cosa con il genitore\n self._heapify(parent)\n \n \n def minimum(self):\n \"\"\"Restituisce la chiave con il valore minimo in H.\n \n Costo:\n O(1)\"\"\"\n return self.array[0]\n \n def decrease_value(self, index, new_value):\n \"\"\"Diminuisce il valore della chiave all'indice index a new_value.\n \n Costo:\n O(log n)\"\"\"\n # Diminuisco il valore del nodo\n self.array[index] = new_value\n # Aggiorno l'heap \n self._heapify(index)\n \n def insert(self, value):\n \"\"\"Inserisci un nuovo valore nell'albero.\n \n Costo:\n O(log n)\"\"\"\n # Trovo l'indice in cui inserire il valore\n index = self.next_index \n # Aggiungo il valore in fondo\n self.array[index] = value\n # Aggiorno l'heap\n self._heapify(index)\n \n def _heapify_children(self, index):\n \"\"\"Ripristina le proprietà dell'heap per il nodo all'indice specificato e i suoi figli.\n \n Costo:\n O(log n)\"\"\"\n # Trovo l'indice dei figli\n left = index * 2 + 1\n right = index * 2 + 2\n # Mi assicuro che i figli esistano\n try:\n # Guardo quale dei figli è maggiore\n if self.array[left] > self.array[right]:\n # Scambio i valori\n self.array[left], self.array[index] = self.array[index], self.array[left]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n else:\n # Scambio i valori\n self.array[right], self.array[index] = self.array[index], self.array[right]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n except IndexError:\n # La foglia non ha figli: ho finito!\n return\n \n def pop(self):\n \"\"\"Restituisce la chiave con il valore minimo, e la elimina.\n \n Costo:\n O(log n)\"\"\"\n # Mi salvo il valore della radice\n value = self.array[0]\n # Sostituisco la radice con l'ultima foglia a destra\n self.array[0], self.array[self.next_value] = self.array[self.next_value], self.array[0]\n ### Non bisognerebbe eliminare la foglia...?\n # Riordino l'heap\n self._heapify_children(0)\n return value\n \n @staticmethod\n def from_list(l):\n \"\"\"Crea un heap da una lista.\n \n Costo:\n O(n log n), ma si può abbassare\"\"\"\n heap = Heap(len(l)))\n heap.array = Array.from_list(l) # Pseudocodice\n heap.next_value = len(l)\n # Cominciamo a riordinare l'heap dalla fine, in modo che rispetti le proprietà\n for index in range(heap.next_value, 0, -1):\n heap._heapify_children(index)\n \\`\\`\\`\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/heap)\n `}\n \n \n {`\n # Coda con priorità\n \n La _coda con priorità_ è una struttura dati dal funzionamento molto simile a quello di una coda, ma invece che restituire il primo elemento inserito, essa restituisce l'**elemento con il valore di priorità minore**.\n \n ## Proprietà\n \n - Ogni elemento è una coppia costituita da **valore** e **priorità** (un numero intero).\n - Nuovi elementi possono essere aggiunti solo tramite il **metodo \\`insert()\\`**\n - Gli elementi possono essere estratti solo tramite il **metodo \\`pop()\\`**\n - Verranno restituiti i valori inseriti secondo la strategia **Lower Priority** (l'elemento con la priorità minore sarà il primo ad essere restituito).\n - E' possibile diminuire la priorità di un elemento (e quindi anticipare la sua estrazione)\n \n ## Metodi\n \n \\`\\`\\`python\n class PriorityQueue:\n def __init__(self): ...\n def insert(self, new_elem: Element): ...\n def minimum(self) -> Element: ...\n def pop(self) -> Element: ...\n def decrease_priority_for(self, elem: Element, priority: int): ...\n \\`\\`\\`\n \n ## Implementazione con lista\n \n E' possibile implementare la coda con priorità tramite una **lista**: l'inserimento di nuovi valori diventerà molto efficiente, ma tutte le altre operazioni saranno linearmente lente.\n \n ### Costo computazionale\n \n - *insert()*: \\`O(1)\\`\n - *minimum()*: \\`O(n)\\`\n - *pop()*: \\`O(n)\\`\n - *decrease_priority_for()*: \\`O(n)\\`\n \n ## Implementazione con lista ordinata\n \n Implementando la coda con priorità con una **lista ordinata** si avrà un costo di ordinamento elevato negli inserimenti e modifiche alla priorità, ma costi costanti nell'estrazione di un elemento.\n \n ### Costo computazionale\n \n - *insert()*: \\`O(n)\\`\n - *minimum()*: \\`O(1)\\`\n - *pop()*: \\`O(1)\\`\n - *decrease_priority_for()*: \\`O(n)\\`\n \n ## Implementazione con heap\n \n La **soluzione migliore** è quella di implementare la coda con priorità tramite un **heap**: tutti i costi saranno logaritmici, eccetto l'inserimento che sarà costante.\n \n - \\`insert()\\` costa \\`O(1)\\`\n - \\`minimum()\\` costa \\`O(log n)\\`\n - \\`pop()\\` costa \\`O(log n)\\`\n - \\`decrease_priority_for()\\` costa \\`O(log n)\\`\n \n ## Approfondimenti\n \n Esistono code con priorità che restituiscono **l'elemento con priorità maggiore**, invece che quello minore.\n `}\n \n \n {`\n # Heap sort\n\n L'_heap sort_ è un algoritmo di ordinamento per confronto **iterativo**.\n \n ## Funzionamento\n \n Per effettuare un heap sort, creiamo un **heap massimo** in cui inseriamo tutti i valori che vogliamo ordinare.\n \n Una volta applicate le proprietà dell'heap, chiamiamo una versione particolare di \\`heap.pop()\\` che invece che rimuovere dall'array i valori estratti li posiziona nello spazio creatosi in fondo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(n log n)\\` | \\`Ω(n log n)\\` | **\\`θ(n log n)\\`** |\n `}\n \n \n {`\n # Grafo\n \n Un _grafo_ è una struttura dati che rappresenta elementi interconnessi tra loro.\n \n Esistono due tipi di grafi: _orientati_ e _non orientati_.\n \n Per semplicità, consideriamo i nostri nodi numerati da 1 a \\`n\\`.\n \n ## Proprietà\n \n - Gli elementi sono rappresentati tramite _nodi_.\n - Il loro _grado_ è dato dal **numero degli archi** che vi incidono.\n - Se il grafo è orientato, hanno anche un _in-degree_ (**numero di archi entranti**) e un _out-degree_ (**numero di archi uscenti**).\n - Le connessioni tra elementi sono rappresentate tramite _archi_.\n - Un arco _incide_ esattamente su **due nodi**.\n - Se il grafo è orientato, sono _uscenti_ da uno dei due nodi ed _entranti_ nell'altro.\n - Sono matematicamente meno del **quadrato dei nodi**.\n \n ## Grafi particolari\n \n ### Catena\n \n Una _catena_ è un **grafo non orientato** composto da una **sequenza di nodi** aventi un **grado massimo di 2** tutti collegati tra loro.\n \n ### Cammino\n \n Un _cammino_ è un **grafo orientato** composto da una **sequenza di nodi** aventi un **in-degree** e un **out-degree** **massimo di 1**, collegati tra loro in modo che partendo dal primo e seguendo gli archi sia possibile arrivare all'ultimo.\n \n ### Cricca\n \n Una _cricca_ è un grafo in cui **tutti i nodi sono collegati tra loro**.\n \n Se il grafo è **non orientato**, la cricca ha \\`((n-1)n)/2\\` archi.\n \n Se il grafo è **orientato**, ha per ogni coppia un arco in entrambe le direzioni, quindi ha \\`(n-1)n\\` archi.\n \n ### Direct Acyclic Graph\n \n Un _DAG_ è un grafo diretto che non contiene nessun ciclo.\n \n Su di esso possiamo effettuare un ordinamento, detto _linearizzazione_, tra i nodi: otteniamo l'_ordine topologico_.\n \n I primi elementi dei DAG sono detti _Source_ (_Sorgente_), mentre gli ultimi sono detti _Sink_ (_Pozzo_).\n \n #### Albero\n \n Un **albero** può essere considerato un DAG con una **sorgente singola** e le **foglie come pozzi**.\n \n ### Grafo fortemente connesso\n \n Un insieme di nodi \\`V\\` di un **grafo diretto** \\`G\\` si dice una _componente fortemente connessa_ se:\n \n 1. Per ogni coppia di nodi \\`∀ u, v ∈ V' : ∃ un cammino u->v in G'\\`\n 2. Massimale (non può diventare più grande)\n \n > Praticamente una componente fortemente connessa è un gruppo di nodi tra i quali si può viaggiare liberamente da e a qualsiasi nodo al suo interno.\n \n Un grafo si dice _fortemente connesso_ se l'insieme \\`V\\` coincide con l'insieme dei nodi del grafo \\`G\\`.\n \n > Se partendo da qualsiasi nodo di un grafo riesco ad arrivare a qualsiasi altro nodo, allora il grafo è fortemente connesso.\n \n Inoltre, se creiamo un nuovo grafo, in cui **ogni nodo rappresenta una componente fortemente connessa** del nostro grafo iniziale, **otteniamo un DAG**, perchè tutti i cicli sono stati integrati nella componente.\n \n ### Trasposto di un grafo\n \n Il _trasposto_ di un **grafo diretto** \\`G\\` è il grafo stesso con gli archi che però vanno nella **direzione opposta**.\n \n ### Grafo pesato\n \n Un _grafo pesato_ è un particolare grafo che associa a ciascun arco un **costo** per attraversarlo.\n \n #### Costi negativi\n \n I costi possono anche essere negativi: rappresenteranno allora un **guadagno** ottenuto attraversando il nodo.\n \n ### Minimum spanning tree\n \n Un _minimum spanning tree_ è il **sottoinsieme degli archi** di un **grafo non diretto** che **connettono tutti i nodi** con il **minor costo possibile**.\n \n I MST hanno [molte proprietà](https://en.wikipedia.org/wiki/Minimum_spanning_tree#Properties); sono troppe da scrivere qui, e probabilmente non ci interesseranno nemmeno.\n \n ## Implementazione tramite matrice di adiacenza\n \n Possiamo implementare un grafo creando una **matrice di \\`bool\\` di dimensione \\`n * n\\`** in cui le **caselle collegate sono vere** e le caselle non collegate sono false.\n \n > Ad esempio, possiamo implementare un grafo non orientato in questo modo (\\`█\\` indica l'esistenza di un collegamento e \\` \\` indica la sua assenza):\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|░|░|\n > |2|█|░|░|\n > |3|█| |░|\n >\n > Esistono gli archi \\`1-2\\` e \\`1-3\\`, ma non esiste un collegamento \\`2-3\\`.\n \n > Un grafo orientato invece si può implementare così:\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|█| |\n > |2|█|░| |\n > |3|█| |░|\n >\n > Esistono gli archi \\`1->2\\`, \\`2->1\\` e \\`3->1\\`, ma non ci sono collegamenti \\`2->3\\`, \\`1->3\\` e \\`3->2\\`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Le matrici di adiacenza portano alla realizzazione di algoritmi molto veloci: verificare l'esistenza di un arco è in \\`O(1)\\`!\n \n Abbiamo però penalità significative quando vogliamo effettuare operazioni sugli archi: ad esempio, trovare il trasposto di un grafo implementato con una matrice di adiacenza è in \\`O(nodi²)\\`.\n \n #### Memoria\n \n E' poco efficiente in quanto a memoria: l'upper bound è in \\`O(n^2)\\`. \n \n ## Implementazione tramite liste di adiacenza\n \n Un'alternativa alla matrice di adiacenza è quella di creare un'**array di liste**, le quali contengono i **vicini di ciascun nodo**.\n \n > |Posizione|Lista|\n > |-|-|\n > |1|[2, 3]|\n > |2|[]|\n > |3|[1]|\n >\n > Esistono gli archi \\`1->2\\`, \\`1->3\\`, e \\`3->1\\`, ma non esistono \\`2->1\\`, \\`2->3\\` e \\`3->2\\`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Utilizzando le liste di adiacenza, il tempo richiesto per verificare l'esistenza di un arco sale a \\`O(max-out-degree)\\`.\n \n E' efficace però quando il problema che vogliamo risolvere riguarda operazioni su archi: trovare la trasposta è in \\`O(archi)\\`.\n \n #### Memoria \n \n La memoria richiesta dalle liste di adiacenza è minore di quella delle matrici: l'upper bound è in \\`O(nodi + archi)\\`.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/graphds)\n `}\n \n \n {`\n # Visitare un grafo\n \n Come per gli alberi radicati, esistono due modi per visitare un grafo: _depth-first search_ e _breadth-first search_.\n \n In entrambi i casi, non visito mai due volte lo stesso nodo, e come risultato ottengo **molteplici alberi**, il cui insieme viene detto _foresta di copertura_.\n \n Se il grafo che vogliamo visitare è diretto, allora dobbiamo **considerare come vicini solo gli archi uscenti**\n \n ## Depth-first search\n \n La DFS ci può risultare utile per **identificare le componenti connesse** di un grafo e **identificare eventuali cicli**.\n \n ### Funzionamento\n \n Posso utilizzare la DFS per classificare gli archi di un grafo in quattro categorie:\n \n - _Tree_, archi che ci fanno **scoprire un nuovo nodo**\n - _Forward_, archi che ci portano a un **discendente**\n - _Back_, archi che ci portano ad un **antenato**\n - _Cross_, archi che **connettono due sottoalberi** diversi\n \n Usiamo due array inizializzati a 0 chiamati \\`pre\\` e \\`post\\`, grandi quanto il numero di archi del grafo, che ci indicano rispettivamente quando un nodo è stato scoperto e quando è terminata la visita. \n Inoltre, creiamo una variabile \\`clock\\` che avanza ad ogni evento. \n Alla scoperta di un nuovo nodo, mettiamo il valore attuale di \\`clock\\` all'interno di \\`pre[n]\\`. \n Alla fine della visita di un nodo invece mettiamo il valore di \\`clock\\` in \\`post[n]\\`.\n \n **Durante la visita**, gli archi avranno i seguenti valori:\n - _Tree_: \\`pre[dst] == 0\\`\n - _Forward_: \\`pre[src] < pre[dst] && post[dst] > 0\\`\n - _Back_: \\`pre[dst] < pre[src] && post[dst] == 0\\`\n - _Cross_: Tutti gli altri (\\`post[dst] < pre[src]\\`)\n \n **A fine visita**, gli archi avranno i seguenti valori:\n - _Tree_: \\`pre[dst] < pre[dst] < post[dst] < pre[src]\\`\n - _Forward_: \\`pre[dst] < pre[dst] < post[dst] < pre[src]\\`\n - _Back_: \\`pre[src] < pre[dst] < post[dst] < post[src]\\`\n - _Cross_: \\`pre[dst] < post[dst] < pre[src] < post[src]\\`\n \n Se un **grafo non diretto** contiene degli **archi Back**, allora esso **conterrà un ciclo**.\n \n #### DFS nel grafo trasposto\n \n Se effettuo una DFS sul trasposto di un grafo, posso **scoprire i nodi che hanno un cammino verso l'origine**.\n \n #### DFS nella componente fortemente connessa\n \n Se effettuo una DFS in una componente fortemente connessa e nella sua trasposta, il **\\`post\\` della trasposta sarà sempre minore** del \\`post\\` della componente originale.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(nodi + archi)\\` | \\`Ω(nodi + archi)\\` | **\\`θ(nodi + archi)\\`** |\n | Memoria | \\`O(nodi)\\` | \\`Ω(nodi)\\` | **\\`θ(nodi)\\`** |\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n \n ## Breadth-first search\n \n La BFS ci può risultare utile per **trovare tutti i nodi a una certa distanza** da un'origine.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(nodi + archi)\\` | \\`Ω(nodi + archi)\\` | **\\`θ(nodi + archi)\\`** |\n | Memoria | \\`O(nodi + archi)\\` | \\`Ω(nodi + archi)\\` | **\\`θ(nodi + archi)\\`** |\n \n ### Pseudocodice\n \n Come per gli alberi, la implementiamo in modo **iterativo**:\n \n \\`\\`\\`python\n queue = [starting_node]\n parents = [None for node in graph.nodes]\n distance = [-1 for node in graph.nodes]\n \n # TODO: controllami quando sei più sveglio\n \n while queue:\n node, source, distance = queue.pop(0)\n parents[node.number] = source\n distance[node.number] = distance\n for neighbour in node.neighbours:\n queue.append((neighbour, node, distance+1))\n \\`\\`\\`\n \n > Nella coda, la distanza massima tra un nodo e l'altro è 1.\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n `}\n \n \n {`\n # Algoritmi greedy\n\n Un modo per risolvere problemi algoritmici può essere usare una **tecnica** _greedy_.\n \n Le tecniche greedy consistono nel effettuare tanti piccoli passi, ed effettuare una **scelta** in base ai dati **locali al passo attuale**.\n \n > Scegli il numero di monete più piccole possibili per comporre €1.12.\n >\n > L'algoritmo cerca di scegliere sempre la moneta più grande possibile compatibile con il prezzo in quel momento, quindi:\n > | Moneta scelta | Rimanente |\n > |---------------|-----------|\n > | € 1.00 | € 0.12 |\n > | € 0.10 | € 0.02 |\n > | € 0.02 | € 0.00 |\n \n ## Esempi\n \n Sono algoritmi greedy:\n \n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n `}\n \n \n {`\n # Percorso più breve\n\n Trovare il _percorso più breve_ (o _cammino minimo_) tra due nodi di un **grafo pesato** è un problema frequente nell'informatica; per questo, sono stati sviluppati [numerosi algoritmi](https://en.wikipedia.org/wiki/Shortest_path_problem) per risolverlo.\n \n > Ad esempio, il pathfinding dei nemici nei videogiochi, oppure Google Maps!\n \n ## Percorso più breve da una sorgente singola\n \n Una sottocategoria del problema del percorso più breve è il caso in cui ci interessa sapere i percorsi più brevi che **partono da uno specifico nodo del grafo**: è detto problema del _percorso più breve da una sorgente singola_, o _single-source shortest path_.\n \n Si può notare che se il grafo contiene **costi negativi** allora è possibile che il percorso più breve non esista, in quanto diventa possibile la comparsa di **cicli di costo infinitamente negativo**.\n \n Possiamo notare che, se il percorso più breve tra \\`A\\` e \\`D\\` è \\`A-B-C-D\\`, allora il cammino minimo tra \\`B\\` e \\`D\\` passerà obbligatoriamente per \\`C\\` (\\`B-C-D\\`).\n Diremo più avanti che il percorso più breve ha una **sottostruttura ottimale**.\n \n ### Esempi\n \n Alcuni algoritmi che trovano il percorso più breve sono:\n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Bellman-Ford_\n - La [_ricerca A*_](https://en.wikipedia.org/wiki/A*_search_algorithm)\n `}\n \n \n {`\n # Algoritmo di Dijkstra\n \n L'_Algoritmo di [Dijkstra](https://upload.wikimedia.org/wikipedia/commons/8/85/Dijkstra.ogg)_ è un algoritmo che risolve il problema del **percorso più breve da una sorgente singola** per grafi con pesi **reali positivi** \\`\\\\mathbb{R}^+\\`.\n \n L'algoritmo trova tutti i percorsi più brevi per raggiungere qualsiasi nodo del grafo partendo da un dato nodo, assieme al costo richiesto per farlo.\n \n ## Funzionamento\n \n 1. Separiamo tutti i nodi del grafo in due gruppi: **visitati** e **non visitati**. \n - Tutti i nodi partono da **non visitati**.\n 2. Per ogni nodo, manteniamo un valore \"**costo richiesto per raggiungerlo**\", che verrà cambiato man mano che l'algoritmo avanza.\n - Il costo di partenza è \\`+∞\\`.\n - Il costo sarà **definitivo per i nodi visitati**, e **provvisorio per i non visitati**.\n 3. Creiamo un insieme detto _frontiera_ che conterrà tutti i **nodi non visitati adiacenti** a quelli visitati.\n 4. Prendiamo il nodo iniziale, che avrà un **costo di \\`0\\`**, e definiamolo il nodo _attuale_.\n 5. Finchè ci sono dei nodi non sono stati visitati, ripetiamo il seguente ciclo:\n 1. Aggiungiamo i nodi adiacenti al nodo attuale alla frontiera.\n - Il costo per raggiungerli sarà il **costo per il nodo attuale sommato al costo dell'arco** che li connette al nodo attuale. \n Se questo **costo** risulta essere **minore del costo provvisorio** precedente, esso **diventerà il nuovo costo**.\n - Questa operazione è detta _rilassamento dell'arco_.\n 2. Facciamo diventare **visitato** il nodo attuale.\n - Il percorso che abbiamo fatto per raggiungerlo è obbligatoriamente il più breve.\n 3. Il prossimo nodo attuale sarà il nodo di frontiera con un costo più basso.\n - Per questo, è possibile definire l'algoritmo di Dijkstra come un **algoritmo greedy**.\n \n ### Non funziona se...\n \n L'algoritmo smette di funzionare nel caso in cui siano presenti **costi negativi** e il grafo non sia **aciclico**, in quanto non saremmo mai in grado di rendere visitato un nodo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | \\`O(nodi + archi) log nodi)\\` |\n \n ### Scomposizione\n \n - Inizializzazione: \\`O(nodi)\\`\n - Creazione coda priorità: \\`O(nodi log nodi)\\`\n - Ciclo: \\`O((nodi + archi) log nodi)\\`\n \n ## Pseudocodice\n \n \\`\\`\\`python\n import math\n \n class Info:\n def __init__(self, distance=math.inf, previous=None):\n self.distance = distance\n self.previous = previous\n \n def dijkstra(graph, start):\n data = [Info() for node in graph.nodes]\n queue = PriorityQueue([start])\n while queue:\n node = queue.pop()\n for arc in node.connections:\n other = arc.other(node)\n if data[node.number].distance + arc.cost < data[other].distance:\n data[other].distance = data[node.number].distance + arc.cost\n queue.decrease_priority_for(other, data[other].distance)\n data[v].previous = node\n return data\n \\`\\`\\`\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n `}\n \n \n {`\n # Algoritmo di Bellman-Ford\n\n L'_Algoritmo di Bellman-Ford_ è un algoritmo che, come l'Algoritmo di Dijkstra, risolve il problema del **percorso più breve da una sorgente singola**, però, a differenza da quest'ultimo, l'Algoritmo di Bellman-Ford accetta in input anche grafi con pesi **reali** \\`\\\\mathbb{R}\\` (sia positivi, sia negativi).\n \n ## Funzionamento\n \n L'approccio dell'algoritmo è simile a quello di Dijkstra: entrambi usano il **rilassamento** degli archi per ottenere un costo provvisorio per il raggiungimento di un nodo, ma invece che rilassare solo l'arco con costo inferiore, questo algoritmo **rilassa tutti gli archi** ripetutamente, eliminando la frontiera e il problema dei nodi negativi.\n \n L'operazione di rilassamento è ripetuta \\`nodi - 1\\` volte, ovvero la **lunghezza massima** di un cammino aciclico all'interno di un grafo.\n \n Possiamo individuare dopo i rilassamenti se è presente un nodo con un **ciclo negativo**: ci basta controllare se esiste un arco che connette due nodi con una distanza incompatibile: se \\`a.distanza + arco.costo < b.distanza\\`, allora è presente un ciclo negativo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | \\`O(nodi * archi)\\` |\n \n ## Pseudocodice\n \n > TODO\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n `}\n \n \n {`\n # Disjoint set\n \n Il _disjoint set_ è una struttura dati che rappresenta elementi di un insieme raggruppati in **sottoinsiemi disgiunti**.\n \n ## Metodi\n \n \\`\\`\\`python\n class DisjointNode:\n def __init__(self): ...\n def find_set(self): \"Trova il rappresentante dell'elemento.\"\n def union(self, other): \"Unisce i sottoinsiemi che contengono questo nodo e \\`other\\`.\"\n \\`\\`\\`\n \n ## Implementazione tramite array\n \n Possiamo implementare il disjoint set con due array: uno per l'**indice del rappresentante** e uno per il **rango dell'insieme**.\n \n Un singoletto avrà **sè stesso come rappresentante** e **rango \\`0\\`**.\n \n ### Costo computazionale\n \n - *create_set()*: \\`O(1)\\`\n - *find_set()*: \\`O(h)\\`\n - *union()*: \\`O(h)\\`\n \n ### Pseudocodice\n \n \\`\\`\\`python\n class DisjointNode:\n def __init__(self):\n self.parent = self\n self.rank = 0\n \n def find_set(self):\n element = self\n while self.parent != element:\n element = self.parent\n return element\n \n def union(self, other):\n repres_self = self.find_set()\n repres_other = other.find_set()\n if repres_self == repres_other:\n return\n if repres_self.rank < repres_other.rank:\n repres_greater = repres_other\n repres_lesser = repres_self\n else:\n repres_greater = repres_self\n repres_lesser = repres_other\n repres_lesser.parent = repres_greater\n if repres_greater.rank == repres_lesser.rank:\n repres_greater.rank += 1\n \\`\\`\\`\n \n ### Visualizzazione\n \n [cs.usfca.edu](https://www.cs.usfca.edu/~galles/JavascriptVisual/DisjointSets.html)\n `}\n \n \n {`\n # Trovare il minimum spanning tree\n\n Un altro problema ricorrente riguardante i grafi è trovare il _minimum spanning tree_ di un dato grafo non diretto.\n \n > E' utile per trovare il modo più efficiente per connettere le cose: ad esempio, per decidere la struttura di una rete internet!\n \n ## Esempi\n \n Gli algoritmi principali che risolvono il problema sono due, ed entrambi sono **algoritmi greedy**:\n \n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n `}\n \n \n {`\n # Algoritmo di Kruskal\n \n L'_Algoritmo di Kruskal_ è un algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n 1. Ripetiamo questa procedura finchè tutti i nodi non sono connessi:\n 1. Prendiamo ad ogni passo **l'arco meno costoso** del grafo non ancora aggiunto all'insieme.\n 2. Assicuriamoci che **non si creino cicli**: se non se ne verrebbero a creare, possiamo **aggiungere l'arco all'insieme**.\n - Gli archi devono quindi connettere nodi in **componenti connesse diverse**.\n - Possiamo rappresentare le componenti connesse con un **Disjoint Set**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | \\`O(archi²)\\` |\n \n ### Scomposizione\n \n - DisjointSet.__init__(): \\`O(archi)\\`\n - Per ogni ciclo: \\`O(archi²)\\`\n - DisjointSet.find_set(): \\`O(1)\\`\n - DisjointSet.union(): \\`O(archi)\\`\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def minimum_spanning_tree_kruskal(graph):\n ds = DisjointSet()\n for node in graph.nodes:\n ds.create_set(node)\n arcs = []\n sorted_arcs = sorted(graph.arcs, key=lambda arc: arc.cost)\n for arc in sorted_arcs:\n if ds.find_set(node.start) != ds.find_set(node.end):\n arcs.append(arc)\n ds.union(node.start, node.end)\n return arcs\n \\`\\`\\`\n `}\n \n \n {`\n # Algoritmo di Prim\n \n L'_Algoritmo di Prim_ è un altro algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n Creo una **coda con priorità** in cui inserisco tutti gli archi visibili dal mio albero, in cui la chiave è il **costo dell'arco**.\n \n Per trovare l'arco con costo più piccolo posso **estrarre un arco** dalla coda: la priorità ci garantisce che esso è l'**arco meno costoso**.\n \n Aggiungo allora un nuovo nodo all'albero, e con esso, **aggiungo alla coda** tutti gli **archi che scoprono un nuovo nodo**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | \\`O(archi + nodi log nodi)\\` |\n \n ## Pseudocodice\n \n \\`\\`\\`python\n import math\n \n def minimum_spanning_tree_prim(graph, cost_array, start_node):\n # E' un Array di bool: se l'indice corrispondente al nodo è uguale a true, vuol dire che il (nodo è contenuto nell'albero.\n contains = [False for _ in range(len(graph))]\n # Contiene il precedente di ogni nodo \n prev = [None for _ in range(len(graph))]\n # Contiene il costo per arrivare a quel nodo\n cost = [math.inf for _ in range(len(graph))]\n # Creo la priority queue\n pq = PriorityQueue(graph.arcs, key=lambda arc: arc.cost)\n # Parto dal nodo \\`start_index\\`\n # Il costo dell'origine è 0.\n cost[start_node.index] = 0\n contains[start_node.index] = True\n \n while not pq.is_empty():\n new_node = pq.pop()\n contains[new_node.index] = True\n for arc in new_node.connections:\n other_node = arc.other(new_node)\n if not contains[other_node.index] and cost[other_node.index] > arc.cost:\n cost[other_node.index] = arc.cost\n prev[other_node.index] = new_node\n pq.decrease_priority_for(other_node, arc.cost)\n # L'array di prev rappresenta un albero.\n return prev\n \\`\\`\\`_\n `}\n \n \n {`\n # Compressione\n\n _Comprimere_ un file significa **ridurne le dimensioni** senza modificarne il significato.\n \n ## Categorie\n \n ### Compressione lossless\n \n Nella _compressione lossless_, i dati possono essere decompressi riottenendo una copia identica dell'originale.\n \n > Immaginiamo un file che contiene solo le lettere \\`a, b, c, d, e, f\\`.\n >\n > Le lettere compaiono con questa frequenza:\n > |a|b|c|d|e|f|\n > |45%|13%|12%|16%|9%|5%|\n >\n > Possiamo codificare le lettere nel seguente modo:\n > |a|b|c|d|e|f|\n > |\\`0b0\\`|\\`0b100\\`|\\`0b101\\`|\\`0b111\\`|\\`0b1100\\`|\\`0b1101\\`|\n >\n > Scrivere \\`abacadae\\` richiederebbe 64 bits con la codifica ASCII estesa, ma in questo modo riusciamo a scriverlo con soli 17 bits!\n \n Le codifiche di un file compresso devono rispettare la proprietà del _Codice a prefisso_, che dice che **nessun codice deve essere il prefisso di un altro codice**; altrimenti, si avrebbero ambiguità nella decodifica.\n \n > a = \\`1\\`\n > b = \\`11\\`\n >\n > \\`111\\` è \\`ab\\`, \\`ba\\` oppure \\`aaa\\`?\n \n Creiamo allora un _albero di decodifica_: un **albero binario** che, leggendo uno ad uno i bit codificati, ci permette di arrivare al **valore del codice presente sulle foglie** dell'albero.\n \n Gli alberi di decodifica sono sempre **completi**.\n \n > Un albero di decodifica incompleto sarebbe non ottimizzato!\n \n #### Esempi\n \n - .png\n - .flac\n - .zip\n - ...\n \n ### Compressione lossy\n \n Nella _compressione lossy_, alcuni dati [solitamente](http://needsmorejpeg.com/) irrilevanti vengono perduti: non si può, dunque, ricostruire l'originale.\n \n #### Esempi\n \n - .jpeg\n - .mp3\n - ...\n `}\n \n \n {`\n # Algoritmo di Huffman\n\n L'_Algoritmo di Huffman_ è un **algoritmo greedy** per la **costruzione di un albero di decodifica**.\n \n ## Funzionamento\n \n 1. Costruisco **un albero** (con un solo nodo) **per ogni elemento dell'alfabeto**.\n 2. Associo ad **ogni albero la frequenza dell'elemento** da cui è stato creato, per poi inserire tutti gli elementi in una coda con priorità.\n 3. Finchè non ho **un albero solo**:\n 1. Estraggo dalla coda i **due alberi con frequenza minore**.\n 2. **Li rendo fratelli**, creando un nuovo nodo in cui sono uno figlio destro e uno figlio sinistro.\n 3. Associo al nuovo nodo la **somma delle frequenze dei due alberi**, e inserisco il nuovo albero nella coda.\n \n > È molto raro che venga un albero \"dritto\"; se succede, probabilmente c'è qualcosa che non va.\n `}\n \n \n {`\n # Dizionario\n \n Un _dizionario_ è una struttura dati che **associa dei valori a delle chiavi**.\n \n ## Proprietà\n \n - Ogni elemento del dizionario è un **valore** che è stato **associato a una chiave**.\n - Possiamo aggiungere nuovi elementi con il **metodo \\`add(chiave, valore)\\`**.\n - Posiamo estrarre elementi con il **metodo \\`get(chiave)\\`**, che restituirà il valore associato a \\`chiave\\`.\n - E' possibile rimuovere elementi con il **metodo \\`delete(chiave)\\`**.\n - Due elementi con **chiavi diverse** non devono **mai restituire lo stesso valore**.\n \n ## Metodi\n \n Beh... Non ha molto senso in questo caso...\n \n \\`\\`\\`python\n dict()\n \\`\\`\\`\n \n ## Implementazione con tabella hash\n \n Una _tabella hash_ è un'array di coppie **chiave-valore**, che formano l'insieme _universo_.\n \n Per determinare l'**indice dell'array** in cui inserire una coppia, usiamo una [funzione _hash_](https://it.wikipedia.org/wiki/Hash#Algoritmo_di_hash) sulla chiave, che restituirà **numeri da \\`0\\` a \\`len(hash_table)\\`**.\n \n ### Risoluzione collisioni\n \n Potrebbe capitare però che **due chiavi diverse abbiano lo stesso indice**. Dobbiamo allora usare un metodo di _risoluzione collisioni_, che mi permetta di distinguere tra chiavi diverse.\n \n #### Lista di trabocco\n \n Possiamo salvare nell'array **liste di coppie** chiave-valore; in caso di collisione, **aggiungo un nuovo elemento alla lista**.\n \n In media, ciascuna di queste liste conterrà \\`elementi_inseriti / dimensione_tabella\\` elementi.\n \n #### Indirizzamento aperto\n \n Possiamo decidere di mettere le coppie che non trovano posto nel loro indice in **un altro indirizzo vuoto** dell'array.\n \n Ci sono diversi modi in cui decidere il nuovo indirizzo, ognuno con vantaggi e svantaggi: si può scegliere quello successivo, oppure il primo vuoto dell'array, oppure un indirizzo casuale.\n \n > Python, nei \\`dict\\`, usa indirizzamento aperto pseudorandom.\n \n ### Costo computazionale\n \n - Aggiungere una chiave: \\`O(n)\\`\n - Trovare una chiave: \\`O(n)\\`\n - Eliminare una chiave: \\`O(n)\\`\n `}\n \n \n {`\n # Programmazione dinamica\n \n La _programmazione dinamica_ è una **tecnica** di programmazione che prevede l'**estensione di una soluzione ottima precedente**.\n \n Tutti i problemi in cui si può applicare si possono risolvere anche con la **ricorsione**, ma a differenza della ricorsione, questa tecnica riesce ad evitare di ricalcolare la soluzione per ogni chiamata ricorsiva, ottenendo quindi tempi molto migliori.\n \n Si può applicare solo se un problema ha una **sottostruttura ottimale**, ovvero se la soluzione ottima di un sottoproblema è inclusa nella soluzione ottima del problema. \n \n ## Esempi\n \n - _Problema dello zaino_\n - ...\n \n > Il cammino minimo per raggiungere un nodo in un DAG è dato da \\`arco.costo + arco.primo_nodo.costo_cammino_minimo()\\`.\n >\n > \\`\\`\\`python\n > def SPD_PD(graph, start):\n > distance = [float(inf) for node in graph.nodes]:\n > distance[start] = 0\n > # I nodi devono essere in ordine di linearizzazione\n > for node in graph.nodes:\n > distance[node] = min([(arc.cost + distance[arc.other(node)] for arc in node.connections])\n > \\`\\`\\`\n \n > Ho una sequenza di interi da \\`a_1\\` a \\`a_n\\`. Voglio trovare la sottosequenza crescente più lunga.\n >\n > 5 2 3 4 7 3 6 3 1 6\n >\n > Trovo tutte le sequenze lunghe 1, e le rendo nodi di un grafo diretto.\n >\n > Da ogni nodo, creo una connessione verso i suoi maggiori.\n >\n > Infine, cerco i cammini massimi del grafo. \n > \n > Essi saranno la soluzione del problema.\n \n > Trova la lunghezza della sottosequenza più lunga che termina con \\`j\\`.\n >\n > \\`L[j]\\` = lunghezza della sottosequenza più lunga che termina in \\`j\\`\n > \n > \\`\\`\\`python\n > L[j] = max([1 + L[node] for arc in node.connections)]\n > \\`\\`\\`\n >\n > Esempio:\n > \\`\\`\\`python\n > L[9] = max([1+L[8], 1+L[3], 1+L[6]])\n > \\`\\`\\`\n `}\n \n \n {`\n # Problema dello zaino\n \n Il problema dello zaino è un problema _pseudo-trattabile_: non abbiamo dimostrazioni di se sia trattabile o intrattabile.\n \n ## Descrizione\n \n > Sei un ladro, e devi mettere **più refurtiva possibile** nello zaino per scappare. \n > Lo zaino può portare **al massimo \\`dim\\` kili**.\n >\n > **Quali** (e quanti) oggetti scegli?\n \n | Input | Output |\n |-------|--------|\n | \\`dim\\`ensione_zaino, \\`n\\`umero_oggetti, \\`oggetto.peso\\`, \\`oggetto.valore\\` | \\`profitto_massimo\\` |\n \n ## Categorie\n \n ### Problema con ripetizione\n \n Puoi prendere **tutte le copie che vuoi** di un oggetto.\n \n #### Soluzione\n \n \\`K(dim)\\` è il valore massimo ottenibile con uno zaino di capacità \\`dim\\`.\n \n > Se \\`i\\` appartenesse alla soluzione ottima, allora \\`K(dim) = i.valore + K(dim - i.peso)\\`...\n \n Possiamo dire che \\`K(dim) = max(i.valore + K(dim - i.peso))\\`.\n \n Inoltre, \\`K(0) = 0\\`.\n \n Ci salviamo tutte le soluzioni da \\`K(0)\\` a \\`K(dim)\\`, e le usiamo per calcolare il massimo in seguito.\n \n Calcolare \\`K(dim)\\` avrà allora un costo di \\`O(n * dim)\\`:\n - \\`n\\`, perchè trovare il massimo è un'operazione lineare\n - \\`dim\\`, perchè \\`dim\\` sono tutti i casi tra i quali devo andare a provare\n \n Il costo computazionale, allora, è in \\`O(n * dim)\\`. \n \n Però, il **tempo richiesto** dal nostro algoritmo dipende non dalla lunghezza dell'input, bensì dal **valore numerico** di \\`dim\\`, che corrisponde alla dimensione dell'array delle soluzioni. \n Allora, si dice che l'algoritmo è in **tempo _pseudo-polinomiale_**.\n \n ### Problema senza ripetizione\n \n Si può prendere **ogni oggetto una volta sola**.\n \n #### Soluzione _bruteforce_\n \n Scelgo se prendere o no l'item 1.\n \n Si creano due percorsi:\n - Non prendo l'oggetto: \\`valore = 0, peso = 0\\`\n - Prendo l'oggetto: \\`valore = oggetto.valore, peso = oggetto.peso\\`\n \n Continuo a creare percorsi, creando una specie di albero binario.\n \n Se a un certo punto vedo che \\`valore = x, peso = K\\` e \\`valore < x, peso = K\\`, allora posso escludere automaticamente tutto il sottoalbero destro, perchè non può essere migliore del sinistro: allora, sarò riuscito a ridurre il numero dei casi rispetto alla ricorsione.\n \n ### Problema in due variabili\n \n \\`K(j, w)\\` = massimo valore ottenibile con uno zaino di capacità \\`w\\` scegliendo gli item da \\`1\\` a \\`j\\`.\n \n Non possiamo più applicare la soluzione bruteforce, perchè abbiamo due variabili, \\`j\\` e \\`w\\`.\n \n Allora, prendo l'elemento \\`j\\`. Esso può essere o non essere nella soluzione: mi calcolo entrambe le alternative, e mi tengo l'alternativa dal valore più alto.\n \n Se \\`j\\` non è nella soluzione, il risultato diventerà \\`K(j-1, w)\\`; se invece è nella soluzione, il risultato sarà \\`j.valore + K(j-1, w-j.peso)\\`.\n \n In pratica, prendiamo\n \n \\`\\`\\`latex\n K(j, w) = max\n \\\\begin{cases}\n V_j + K(j-1, w-w_j)\n K(j-1, w)\n \\\\end{cases}\n \\`\\`\\`\n \n Costruisco allora una matrice con \\`j\\` su un asse e \\`w\\` sull'altro. \n Riempio le caselle con il valore di \\`K(j, w)\\`. \n Nella casella con \\`K(j, w)\\` avremo la soluzione ottima.\n \n Il tempo necessario per riempire tutte le caselle è nuovamente \\`O(n * w)\\`, ancora **pseudopolinomiale**.\n \n Per sapere che oggetti ho messo o no devo tenere traccia in qualche modo della catena del calcolo, usando, ad esempio, una pila.\n `}\n \n \n {`\n # Problemi intrattabili\n \n ## Problema di Set-Cover\n \n ### Input\n \n \\`U\\`niverso di \\`e\\`lementi\n \n \\`S\\`ottoinsieme di \\`s\\`ottoinsiemi di elementi di \\`U\\`\n \n ### Output\n \n Il minimo \\`S'\\`ottoinsieme di \\`s\\`ottoinsiemi che copra completamente \\`U\\`.\n \n ### Soluzione in \\`O(n^d)\\`\n \n Non c'è.\n \n ### Non-soluzione alternativa\n \n Faccio una scelta greedy, ma non posso dimostrare in alcun modo che la soluzione ottenuta sia quella ottima. \n Infatti, l'algoritmo non dà sempre la soluzione ottima, ma dà una soluzione accettabile in tempo polinomiale.\n \n Seleziono sempre il sottoinsieme che copre più elementi mancanti possibili.\n \n #### Costo computazionale\n \n \\`Costo greedy <= log(numero_elementi) * Costo ottimo\\`\n `}\n \n
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Oggetto \"ASD\"\n - Mail **firmata** con **nome e cognome**\n - Mail spedita dall'**account Unimore**\n\n ### Materiale\n\n Libri:\n - **Introduzione agli Algoritmi e Strutture Dati** di _T.H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein_\n\n **[Dolly (FIM)](https://dolly.fim.unimore.it/2018/course/view.php?id=26)**\n\n ### Tutorato\n\n Tutor: [**Gianluca d'Addese**](mailto:tutoratoalgoritmi@gmail.com)\n\n Cosa: **Esercizi sugli argomenti visti a lezione** e **preparatori all'esame**\n\n Quando: **Mercoledì dalle 09:00 alle 11:00**...?\n\n ### Esame\n\n Per iscriversi all'esame, bisogna aver passato:\n\n - Analisi matematica (propedeutica)\n - Programmazione I\n\n Formato:\n\n - Prima prova scritta\n - Risolvere problemi con algoritmi proposti a lezione\n - E' un test sulla preparazione\n - Dura 1h30m\n - Non si può usare nessun tipo di materiale\n - Seconda prova scritta\n - Proponi soluzioni per nuovi problemi non studiati a lezione\n - Domande teoriche sugli argomenti studiati\n - Dura 2h\n - E' il giorno dopo la prima prova\n - Si può utilizzare qualsiasi materiale, ma non deve permettere di comunicare\n - Orale facoltativo\n - Solo per chi supera entrambi gli scritti\n - Domande su quello che abbiamo visto a lezione (\"perchè gli algoritmi funzionano?\")\n - Informare via email entro 3 giorni dalla pubblicazione degli esiti della seconda prova\n - L'orale potrebbe migliorare o peggiorare il voto (anche \"molto\")\n\n **Attenzione:** Vengono verbalizzati anche i voti insufficienti; ricordarsi di rifiutarli!\n\n Ci sono i seguenti appelli:\n\n - 3 appelli tra Giugno e Luglio\n - 1 appello a Settembre\n - 2 appelli a Gennaio e Febbraio\n\n Vale il salto di appello se:\n\n - Uno studente regolarmente iscritto **non si presenta** all'appello e non ha avvisato via email almeno il giorno prima.\n - Uno studente ha riportato una **grave insufficienza** in uno dei due scritti, e l'appello successivo è nella stessa sessione\n\n\n ### Note\n\n Il corso è ben collegato con quello di Programmazione 2.\n\n Dormire non fa bene!\n "]);return o=function(){return n},n}var a=i("sJH0"),t=i("imVn"),r=(i("ox/y"),i("yDBo"),String.raw);e.default=function(){return n("div",null,n(t.a,{title:"Disperazione di Steffo"},"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa tutte le formule in latex si sono rotteeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee"),n(t.a,null,n(a.a,null,r(o()))),n(t.a,null,n(a.a,null,"\n # Il nome del corso\n\n ## Cosa sono gli algoritmi?\n\n Gli algoritmi sono modi sistematici per risolvere problemi.\n\n Sono fondamentali per sviluppare software, in quanto i computer sono eccellenti esecutori di algoritmi.\n\n ## Come si sviluppa un algoritmo?\n\n Innanzitutto, bisogna conoscere gli _input_ e gli _output_ del problema, rispettivamente i dati di partenza e i dati di arrivo di esso; si ha quindi una fase di **ricerca**.\n\n Poi, si deve trovare un procedimento che ci faccia risolvere il nostro problema: è quello che faremo in questa materia!\n\n Infine, bisogna scrivere la soluzione in un modo che possa essere eseguita da un computer: questa è la **programmazione**.\n\n ## Che tipo di problemi possiamo risolvere?\n\n Un algoritmo risolve problemi di tipo generale, non ci interessa sapere _il risultato di 123+456_, ma vogliamo sapere _il risultato di x+y_, dove x e y sono due numeri naturali qualsiasi.\n\n Un problema può essere quindi considerato circa come una **funzione matematica**, che connette ogni input a un output corrispondente.\n\n ## Che caratteristiche ha un algoritmo?\n\n Per prima cosa, ripetendo l'algoritmo più volte con lo stesso ingresso deve dare sempre la stessa uscita come **risultato**, finendo in un **tempo finito**.\n\n Deve essere **ben ordinato**: cambiando l'ordine in cui vengono effettuate le operazioni, è probabile che anche il risultato cambi!\n\n Le sue istruzioni devono essere **non ambigue**, cioè che non possano essere interpretate in più modi, e **effettivamente realizzabili**, cioè realizzabili con l'esecutore che vogliamo usare per eseguire l'algoritmo.\n\n ## Esistono algoritmi equivalenti?\n\n **Sì!** Possono esserci due algoritmi che dati gli stessi input, hanno gli stessi output, e quindi risolvono lo stesso problema.\n\n In compenso, possono avere un numero di operazioni diverse, e quindi essere **uno più veloce** (da eseguire) dell'altro.\n\n ## Come si verifica la correttezza di un algoritmo?\n\n L'algoritmo deve essere **valido per tutti gli input**, anche se questi sono infiniti.\n\n Possiamo effettuare prove matematiche per verificarne la correttezza; il **principio di induzione** è dunque una dei teoremi fondamentali dell'algoritmica.\n\n Possiamo però verificare la _non correttezza_ di un algoritmo trovando un singolo controesempio.\n ")),n(t.a,null,n(a.a,null,"\n # Efficienza degli algoritmi\n \n Un buon algoritmo deve essere **efficiente**, ovvero deve usare il minimo delle risorse necessarie, come _usare il minimo di tempo possibile_.\n \n ## Come misuriamo il tempo necessario?\n \n Cerchiamo di astrarre il tempo dal particolare esecutore, e andiamo a contare il numero di operazioni elementari richieste per eseguire il nostro algoritmo nel caso peggiore.\n \n Un algoritmo efficiente, infatti, all'aumentare dei dati in ingresso, diventerà sempre più veloce rispetto a uno non efficiente, anche su computer più lenti!\n \n > Il [Bubble Sort](https://en.wikipedia.org/wiki/Bubble_sort) è sempre più lento di un [Tree Sort](https://en.wikipedia.org/wiki/Tree_sort), anche su computer più lenti, perchè, dovendo ordinare liste sempre più lunghe, prima o poi si raggiunge un punto in cui il primo è più veloce (in termini di tempo) dell'altro.\n \n Dobbiamo andare a vedere, quindi, _il numero di operazioni richieste per ottenere il risultato nel caso peggiore_.\n \n Consideriamo operazioni sia operazioni aritmetiche sia operazioni logiche, e diciamo che ciascuna costa 1.\n \n > L'[algoritmo di Euclide](https://it.wikipedia.org/wiki/Algoritmo_di_Euclide) per l'MCD costa `3` per ogni iterazione (un giro del ciclo `while`). Diciamo, allora, che costa `3n`, dove `n` è il numero più alto dei due, perchè nel caso peggiore (uno dei due numeri è 1) l'algoritmo compie `n` iterazioni.\n \n ## Altri parametri ottimizzabili\n \n È possibile che alcuni algoritmi per vari motivi cerchino di ottimizzare altri parametri diversi dal tempo, come ad esempio _la dimensione dell'input_ o la _memoria utilizzata_. \n \n > Generalmente, questo viene fatto sui dispositivi embedded, con memoria molto limitata.\n \n ### Criteri di costo di memoria\n \n Ci sono vari criteri con cui stimare la memoria richiesta da un dato: è possibile che il costo risultante vari in base al criterio scelto!\n \n #### Criterio di costo logaritmico\n \n Un dato costa il numero di bit necessari per rappresentarlo.\n \n > Un int che contiene il numero `n` costa `log_2(n)`. \n > Un array di `[n]` numeri tutti uguali costa `n log_2(n)`.\n \n #### Criterio di costo uniforme\n \n Un dato costa il numero di elementi che lo costituiscono.\n \n > Un int che contiene il numero `n` costa `1`. \n > Un array di `[n]` numeri costa `n`. \n > Una matrice `[m][n]` costa `m*n`.\n ")),n(t.a,null,n(a.a,null,"\n # Modelli algoritmici\n\n Per progettare un algoritmo, abbiamo bisogno di sapere le proprietà del nostro esecutore, ovvero il suo _modello algoritmico_.\n \n > Ad esempio, dobbiamo sapere quali istruzioni è in grado di eseguire, e quanto tempo queste istruzioni richiedono.\n \n ## Il modello RAM\n \n Il modello in uso su tutti i computer attuali è il _modello RAM_: \n \n - In ogni cella di memoria può essere archiviato un dato.\n - Il **tempo di accesso** alle celle è **costante** per tutte le celle.\n - La **memoria** principale è **infinita**.\n - Si ha **un solo processore**.\n ")),n(t.a,null,n(a.a,null,'\n # Notazione asintotica\n \n La _notazione asintotica_ è un sistema per **stimare** velocemente il costo di un algoritmo complesso.\n \n Ci permette di **confrontare velocemente il caso peggiore** degli algoritmi.\n \n In particolare, consideriamo il _rapporto tra il numero di operazioni nel caso peggiore e la dimensione dell\'input_.\n \n ## Limiti\n \n Possiamo dare a questa stima dei limiti, superiore e inferiore, che rappresenteranno rispettivamente un costo che non sarà **mai superato** e un costo che verrà **sempre superato**.\n \n Chiameremo questi limiti _upper bound_ e _lower bound_; la loro combinazione darà un _tight bound_.\n \n L\'obiettivo sarà di _ricavare i bound più precisi possibile_ per un dato algoritmo, ovvero l\'**upper bound più basso** e il **lower bound più alto**.\n \n ### O grande\n \n > "O grande" \n > O di g(n)\n > "big-O"\n \n Per rappresentare la stima, useremo una notazione particolare, detta _O grande_, con la seguente proprietà:\n - Date due funzioni `f(n) : N -> R` e `g(n) : N -> R`, diremo che `f(n) ∈ O(g(n))` se e soltanto se `∃ c > 0, n ≥ n_0` tali che `∀ n ≥ 0, f(n) ≤ c * g(n)`\n \n Quando una funzione è O grande di un altra, significa che **asintoticamente, la funzione in O grande è sempre maggiore di quella che sta venendo stimata**.\n \n > **Ipotesi** \n > - `f(n) = 2n² + 3n + 6` \n > - `g(n) = n²`\n >\n > **Tesi** \n > - `f(n) ∈ O(n²)`.\n >\n > **Svolgimento** \n > Scrivo una disequazione, lasciando intatto il termine noto: \n > 1. `2n² + 3n + 6 ≤ 2n² + 3n² + 6` \n > 2. `n² ≤ 2n² + 3n² + n² = 6n²` per `n ≥ 3`\n >\n > Sappiamo, allora, che `2n² + 3n + 6 ≤ 6n²`.\n \n #### Espressioni di O grande\n \n Questa tabella rappresenta le espressioni di O grande più comunemente utilizzate, in ordine **dalla più forte alla più debole**.\n \n > Più forte significa che, per ogni riga della tabella, tutte le righe sottostanti sono contenute nell\'espressione.\n >\n > Ad esempio, `O(n) ∈ O(1)`.\n \n | Espressione O() | Nome |\n |-----------------|------|\n | `O(1)` | Costante |\n | `O(log log n)` | loglog |\n | `O(log n)` | Logaritmica |\n | `Ω(n^{1/c})` (per c ≥ 1) | Sublineare |\n | `O(n)` | Lineare |\n | `O(n log n)` | nlogn |\n | `O(n²)` | Quadratica |\n | `O(n³)` | Cubica |\n | `O(n^k)` (per k ≥ 1) | Polinomiale |\n | `O(a^n)` (per a ≥ 1) | Esponenziale |\n | `O(n!)` | Fattoriale |\n \n #### Polinomiale\n \n Molto spesso, noteremo che il tempo richiesto da una funzione è O grande di un polinomio di grado K, ovvero `f(n) ∈ O(n^k)`.\n \n Notiamo che in questi casi, possiamo semplificare l\'O grande al grado massimo del polinomio.\n \n > Ad esempio, `O(n² + n + 1) = O(n²)`.\n \n ##### Dimostrazione\n \n Per `n > 0 \\and 0 ≤ i ≤ k`: \n ![LaTeX](https://latex.codecogs.com/png.latex?a_k%20n^k%20+%20a_{k-1}%20n^{k-1}%20+%20%E2%80%A6%20+%20a_1%20n%20+%20a_0%20%E2%89%A4%20|a_k|%20n^k%20+%20|a_{k-1}|%20n^k%20+%20%E2%80%A6%20+%20|a_1|%20n^k%20+%20|a_0|%20n^k%20=%20(|a_k|%20+%20|a_{k-1}|%20+%20%E2%80%A6%20+%20|a_1|%20+%20|a_0|)%20n^k)\n \n #### Proprietà di O grande\n \n 1. `f(n) ∈ O(g(n)) -> ∀ a > 0, a * f(n) ∈ O(g(n))`.\n 2. `f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) + d(n) ∈ O(g(n) + h(n)) -> O(max\\{g(n), h(n)\\})`\n 3. `f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) * d(n) ∈ O(g(n) * h(n))`\n \n In pratica, se una funzione è la _somma di più termini_, basta guardare l\'**`O()` più grande** tra tutti i suoi termini; se invece una funzione è un _prodotto di più termini_, si possono **omettere le costanti**, e l\'`O()` finale sarà dato dal **prodotto degli `O()`** dei termini.\n \n ## Lower bound\n \n Possiamo anche stimare il _lower bound_, il limite inferiore: il **numero minimo di operazioni** che viene effettuato **nel caso migliore** con la **massima dimensione dell\'ingresso**.\n \n ### Ω()\n \n > "Omega" \n > Omega di g(n)\n > "big-Omega"\n \n Esiste un equivalente di O grande per il lower bound: è detto _Omega grande_, o più semplicemente _Omega_, e funziona nello stesso identico modo, solo... al contrario.\n \n Diremo che `f(n) ∈ Ω(g(n))` se e solo se `∃ c > 0, n_0 ≥ 0 : ∀ n ≥ n_0 f(n) ≥ c * g(n)`.\n \n #### Espressioni di Ω()\n \n Anche in questa tabella le espressioni sono **dalla più forte alla più debole**.\n \n | Espressione Ω() | Nome |\n |-----------------|------|\n | `Ω(n!)` | Fattoriale |\n | `Ω(a^n)` (per a ≥ 1) | Esponenziale |\n | `Ω(n^k)` (per k ≥ 1) | Polinomiale |\n | `Ω(n³)` | Cubica |\n | `Ω(n²)` | Quadratica |\n | `Ω(n log n)` | nlogn |\n | `Ω(n)` | Lineare |\n | `Ω(n^{1/c})` (per c ≥ 1) | Sublineare |\n | `Ω(log n)` | Logaritmica |\n | `Ω(log log n)` | loglog |\n | `Ω(1)` | Costante |\n \n ## Tight bound\n \n Quando **upper e lower bound coincidono**, allora otteniamo un _tight bound_.\n \n ### θ()\n \n > "Theta" \n > Theta di g(n)\n > "big-Theta"\n \n Anche per il tight bound abbiamo una notazione equivalente a O grande e Omega grande: _Theta grande_!\n \n Diciamo che `f(n) ∈ θ(g(n))` se e solo se `∃ c_1, c_2 > 0, n_0 ≥ 0 : ∀ n ≥ n_0, c_1 * g(n) ≤ f(n) ≤ c_2 * g(n)`.\n \n Ha la particolarità che non valgono tutte le proprietà degli altri due: va usata quindi con cautela!\n \n ## Risorse utili\n \n [khanacademy.org](https://www.khanacademy.org/computing/computer-science/algorithms/asymptotic-notation/a/big-big-theta-notation)\n ')),n(t.a,null,n(a.a,null,"\n # Problemi algoritmici\n \n Un _problema algoritmico_ è un problema matematico che si vuole provare a risolvere con un algoritmo.\n \n > Dati 10 numeri, voglio sapere se sono in ordine crescente oppure no.\n \n ## Caterigorizzazione\n \n I problemi algoritmici si dividono in tre categorie: problemi _trattabili_, problemi _intrattabili_ e problemi _irrisolvibili_.\n \n ### Problema trattabile\n \n Perchè un problema algoritmico sia _trattabile_, deve avere **almeno un algoritmo con upper bound polinomiale**.\n \n > Questo significa che il tempo impiegato da un computer per risolvere il problema rimane ragionevole, e che quindi può essere utilizzato in maniera efficiente.\n \n La trattabilità è un campo ancora parecchio aperto: esistono anche tanti problemi di cui non si è ancora dimostrata la trattabilità o intrattabilità.\n \n > La [fattorizzazione](https://it.wikipedia.org/wiki/Fattorizzazione) è uno di questi problemi: l'assenza di una dimostrazione è ciò che la rende uno dei pilastri della sicurezza informatica moderna.\n \n ### Problema intrattabile\n \n Se **un problema non ha nessun algoritmo con upper bound polinomiale**, allora si dice che è **intrattabile**.\n \n ### Problema irrisolvibile\n \n Se **non esistono algoritmi per risolvere un problema**, allora questo si dice **irrisolvibile**.\n \n > [Dato un algoritmo con certi input, riusciamo a capire con un algoritmo se la sua esecuzione termina o no?](https://en.wikipedia.org/wiki/Halting_problem)\n \n ### Upper e lower bound di problemi\n \n Si può anche trovare un _upper bound_ e un _lower bound_ per un problema, ma bisogna generalizzare di più.\n \n L'**upper bound di un problema** è il minimo upper bound di tutti gli algoritmi che lo risolvono; deve esistere almeno un algoritmo che lo risolva che abbia lo stesso _upper bound_. E' praticamente il tempo migliore per risolvere il problema dato.\n \n Il **lower bound di un problema** è il minimo lower bound di tutti gli algoritmi che lo risolvono; non deve esistere nemmeno un algoritmo che abbia un lower bound migliore. E' il numero assolutamente minimo di operazioni richieste, non si può fare meglio di così.\n \n In particolare, abbiamo che l'_upper bound di un algoritmo_ -> l'_upper bound del suo problema_, \n e il _lower bound di un problema_ -> il _lower bound di un suo algoritmo_.\n \n Generalmente, il _lower bound di un problema_ è una rappresentazione abbastanza accurata della sua difficoltà.\n ")),n(t.a,null,n(a.a,null,"\n # Ricerca binaria\n \n Non credo di aver bisogno di studiare la ricerca binaria, quindi non ho preso appunti a riguardo.\n \n Se non siete me, e state cercando informazioni a riguardo, andate a vedere su Wikipedia!\n ")),n(t.a,null,n(a.a,null,"\n # Divide et impera\n \n Un modo efficace per risolvere un problema è di usare il metodo _divide et impera (et combina)_.\n \n - _Divide_: Divido il problema in **tanti sottoproblemi**.\n - _Impera_: **Risolvo indipendentemente dal resto** ciascuno dei sottoproblemi.\n - _Combina_: **Combino** i risultati dei sottoproblemi per **risolvere il problema principale**.\n \n ## Ricorsione\n \n Un algoritmo (o funzione) si dice _ricorsivo_ quando durante l'esecuzione **richiama sè stesso**.\n \n Dato che tutti gli algoritmi devono avere termine entro un tempo finito, se scriviamo una funzione ricorsiva è fondamentale finire con un **caso base**, che non chiami ulteriormente la ricorsione.\n \n Se esiste una funzione ricorsiva, allora esiste _sempre_ una _funzione iterativa_ che darà lo stesso risultato.\n \n > Sul pratico, una funzione ricorsiva tipicamente è **più costosa** del suo equivalente iterativo: se possibile, quindi, la ricorsione andrebbe evitata.\n \n #### Pseudocodice di esempio\n \n ```python\n def fattoriale(n):\n # Caso base; la ricorsione finisce e dà un risultato fisso\n if n <= 1:\n return 1\n # Caso ricorsivo; la funzione restituisce il risultato di sè stessa (ma con parametri diversi)\n else:\n return n * fattoriale(n - 1)\n ```\n ")),n(t.a,null,n(a.a,null,"\n # Master Theorem\n \n Il _Master Theorem_ è uno dei teoremi più importanti dell'algoritmica.\n \n Esso permette di **calcolare l'upper bound di un algoritmo ricorsivo** in modo piuttosto semplice.\n \n ## Ipotesi\n \n Dato un algoritmo:\n - Con uno o più casi base\n - Che richiama la funzione ricorsiva un numero n di volte\n \n ## Tesi\n \n Allora, il suo upper bound avrà la formula:\n \n ![](https://quicklatex.com/cache3/89/ql_08d29a7e55d561a900570bc83b93ff89_l3.png)\n ")),n(t.a,null,n(a.a,null,"\n # Caso particolare del Master Theorem\n \n ## Ipotesi\n \n Se: \n ![](https://quicklatex.com/cache3/57/ql_e34dc27b42831d3c3ff671b0f3861257_l3.png)\n \n Ovvero, se la dimensione dell'input viene divisa ad ogni ciclo da una costante b, è polinomiale e il caso base è costante...\n \n ## Tesi\n \n Allora: \n ![](https://quicklatex.com/cache3/ca/ql_26e3557a6ca2d6ac4b8481e7c5263fca_l3.png)\n \n > In pratica, se il costo dominante è quello della parte \"fissa\" dell'algoritmo, esso sarà `O(n^d)`, mentre se il costo dominante è quello delle chiamate ricorsive, esso sarà `O(n^{log_b e})`. \n > Se nessuno dei due è dominante... si dividono circa in parti uguali, creando un costo di `O(n^d log n)`.\n ")),n(t.a,null,n(a.a,null,"\n # Ordinamento\n \n Un problema molto frequente nell'informatica consiste nell'**ordinare efficientemente grandi quantità di elementi**.\n \n Esistono [tantissimi](https://it.wikipedia.org/wiki/Algoritmo_di_ordinamento) algoritmi per effettuare l'ordinamento. \n L'**efficienza** di ciascuno **varia** di caso in caso: alcuni sono estremamente efficienti se quasi tutti i numeri sono già nell'ordine giusto; altri, invece, potrebbero impiegare tantissimo tempo.\n \n In termini matematici, abbiamo:\n \n - **Input:** A[n]\n - **Output:** B, ∀ i < n, A[i] ≤ A[i+1]\n \n ## Ordinamento tramite confronto\n \n L'ordinamento \"tradizionale\" è detto _ordinamento tramite confronto_: funziona sempre, e **non ha altri modi di ottenere informazioni** se non con l'operazione logica di confronto tra i dati.\n \n ### Limiti\n \n E' un problema risolto: è dimostrabile che il suo **lower bound** è **`Ω(n log n)`**; possiamo quindi dire che qualsiasi algoritmo di ordinamento è in `Ω(n log n)`, e se riusciamo a trovare un algoritmo di ordinamento in `O(n log n)` siamo riusciti a raggiungere il massimo dell'efficienza.\n \n #### Dimostrazione\n \n Consideriamo **tutte le possibili permutazioni** della sequenza da ordinare: sono `n!`.\n \n Per ogni confronto che effettuiamo, **riduciamo la quantità di permutazioni** correttamente ordinate; prima o poi, rimarrà **una sola possibilità**.\n \n **TODO, non trovo la spiegazione corretta!**\n \n ### Esempi\n \n Algoritmi che effettuano l'ordinamento tramite confronto sono:\n - _Bubble sort_\n - _Merge sort_\n - _Insertion sort_\n - _Quick sort_\n - _Heap sort_\n - E tanti, tanti altri!\n \n ## Ordinamento con altri mezzi\n \n Esistono algoritmi che ricavano informazioni in altri modi, diversi dal confronto.\n \n Essi possono avere un lower bound più basso di `O(n log n)`, però hanno spesso limitazioni sul loro utilizzo.\n \n ### Esempi\n \n - _Counting sort_, indicizza i valori da ordinare\n - _Radix sort_, guarda singolarmente le cifre dei valori\n - _Sleep sort_, sfrutta i thread e la funzione sleep per ordinare valori\n - E altri ancora!\n ")),n(t.a,null,n(a.a,null,"\n # Insertion sort\n \n L'_insertion sort_ è una soluzione **iterativa** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Considero la sequenza divisa in **due parti**: una parte **ordinata** e una parte **non ordinata**.\n \n Parto dal primo elemento della lista: è sempre ordinato con sè stesso. \n Poi, aggiungo uno alla volta i numeri della parte non ordinata a quella ordinata; prima trovo in quale posizione dovrò andare a mettere il numero, poi **faccio slittare tutti i numeri dopo quella posizione** avanti di 1, in modo da **creare lo spazio** in cui infine **inserirò** il numero.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n²)` | `Ω(n)` | - |\n \n Nel _caso migliore_ (**lista già ordinata**), il numero da inserire è già nella posizione giusta, quindi non devo effettuare altri confronti oltre il primo, rendendo il lower bound dell'algoritmo `Ω(n)`.\n \n Nel _caso peggiore_ (**lista nell'ordine inverso**), dobbiamo confrontare il numero da inserire con tutti gli altri nella parte ordinata: dobbiamo allora eseguire `1+2+3+4+5+… = \\frac{(n-1)(n)}{2}` confronti; ciò significa che l'upper bound è `O(n²)`!\n \n ## Pseudocodice\n \n ```python\n def insertion_sorted(lista):\n # Itero su tutti i numeri della lista, dal primo all'ultimo.\n for divisore_ord in range(len(lista)):\n # Partendo dalla posizione attuale, creo l'indice di divisione numeri ordinati maggiori e minori\n divisore_magg = divisore_ord\n # Faccio slittare avanti i numeri maggiori di quello che stiamo inserendo\n # Se l'indice divisore_magg raggiunge 0, vuol dire che tutti i numeri della lista sono maggiori del numero attuale \n while divisore_magg >= 0 and lista[divisore_magg-1] > lista[divisore_magg]:\n # Scambio la posizione dei due elementi con gli indici specificati\n # Funzione inventata \n lista[divisore_magg], lista[divisore_magg-1] = lista[divisore_magg-1], lista[divisore_magg]\n # Diminuisco il separatore di 1\n divisore_magg -= 1\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting)\n ")),n(t.a,null,n(a.a,null,"\n # Merge sort\n \n Il _merge sort_ è una soluzione **ricorsiva** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Per questo algoritmo, utilizziamo la tecnica del **divide et impera**.\n \n 1. _Divide_: Divido A in **due parti**.\n 2. _Impera_: Metto **separatamente in ordine** le parti.\n 3. _Unisci_: **Unisco** le due parti.\n \n Consideriamo come **caso base** della ricorsione una parte composta da un numero, che ovviamente è già ordinata con sè stessa.\n \n ### Merge\n \n Per **unire le due parti** usiamo una funzione detta `merge()`.\n \n Costruiamo una nuova sequenza uguale alla sequenza 1, ma **aggiungiamo alla fine un valore sentinella** sempre maggiore di tutti gli elementi contenuti.\n \n > ```\n > | 1 | 3 | 7 | 8 | ∞ |\n > ```\n \n Facciamo **la stessa cosa** per la sequenza due.\n \n > ```\n > | 2 | 4 | 5 | 6 | ∞ |\n > ```\n \n Prendo i primi numeri delle due sequenze e **metto il più piccolo nella sequenza iniziale**.\n \n > ```\n > | 1 | 2 | 3 | | | | | | \n > | | | 7 | 8 | ∞ | \n > | | 4 | 5 | 6 | ∞ | \n > ```\n \n **Continuo** finchè non ho messo tutti i numeri; **grazie alla sentinella non usciremo mai dalla sequenza**, in quanto essa è sempre maggiore di tutti gli altri numeri.\n \n > ```\n > | 1 | 2 | 3 | 4 | 5 | 6 | | | \n > | | | 7 | 8 | ∞ | \n > | | | | | ∞ |\n > ```\n \n Quando **rimangono solo le sentinelle** significa che abbiamo aggiunto tutti gli elementi, e quindi abbiamo finito.\n \n > ```\n > | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | \n > | | | | | ∞ | \n > | | | | | ∞ | \n > ```\n \n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n log n)` | `Ω(n log n)` | **`θ(n log n)`** |\n \n Il merge sort è un algoritmo ricorsivo con un **caso base in tempo costante** e che **richiama sè stesso 2 volte**.\n \n ```latex\n T(n) =\\\\\n \\\\\n Θ(1) \\qquad n=1\\\\\n 2 T(\\frac{n}{2}) + Θ(n) \\qquad n \\neq 1\n ```\n \n Applicando il **caso particolare del Master Theorem**, otteniamo:\n \n ```latex\n T(n) =\\\\\n \\\\\n Θ(1) \\qquad n=1\\\\\n Θ(n log n) \\qquad n \\neq 1\n ```\n \n ## Pseudocodice\n \n ```python\n def merge_sorted(part):\n # Caso base\n if len(part) == 1:\n return part\n # Divide\n middle = len(part) // 2\n part_a = part[:middle]\n part_b = part[middle:]\n # Impera\n sort_a = merge_sorted(part_a)\n sort_b = merge_sorted(part_b)\n # Combina\n return merge(sort_a, sort_b)\n ```\n \n ## Visualizzazione\n \n [hackerearth.com](https://www.hackerearth.com/practice/algorithms/sorting/merge-sort/visualize/)\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: visualizza solo la fase _Unisci_ del sort)\n ")),n(t.a,null,n(a.a,null,"\n # Quick sort\n \n Il _quick sort_ è un altro approccio **ricorsivo** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Anche qui, applichiamo il **divide et impera**.\n \n 1. _Divide_: Scelgo un **pivot** qualsiasi all'interno della lista. Metto alla sua **sinistra tutti i numeri minori** e alla sua **destra tutti i numeri maggiori**.\n 2. _Impera_: Eseguo un **quick sort su entrambe le sottoliste**.\n \n ### Esempi\n \n #### Iterazione con partizioni bilanciate\n \n Osserviamo come si formi una partizione con tre elementi e una con quattro. \n \n ```\n |¦ [2] 8 7 1 3 5 6 {4}\n 2 |¦ [8] 7 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 7 ¦ [1] 3 5 6 {4}\n 2 1 |7 8 ¦ [3] 5 6 {4}\n 2 1 3 |8 7 ¦ [5] 6 {4}\n 2 1 3 |8 7 5 ¦ [6] {4}\n 2 1 3 |8 7 5 6 ¦ [{4}]\n [2 1 3] {4} [8 5 6 7]\n ```\n \n #### Iterazione con partizioni sbilanciate\n \n Osserviamo come si formi una partizione con **zero elementi** e una con tre.\n \n ```\n |¦ [4] 7 3 {1}\n |4 ¦ [7] 3 {1}\n |4 7 |¦ [3] {1}\n |4 7 3 |¦ [{1}]\n [] {1} [4 7 3]\n ```\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n²)` | `Ω(n log n)` | - |\n \n Il costo della funzione è dato dalla somma del costo per **dividere in due partizioni** con il costo per realizzare il **Quick sort delle due sottopartizioni**\n \n Possiamo applicare allora il **Master Theorem generale**:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n T(q) + T(dim_lista - pivot - 1) + Θ(n) \\qquad per\\ n > 1\n ```\n \n ### Il caso migliore\n \n Se il pivot `q` è la **mediana della partizione** che stiamo ordinando, si vengono a creare due _sottopartizioni bilanciate_, e sostituendo otteniamo:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n 2 T(\\frac{n}{2}) + Θ(n) \\qquad per\\ n > 1\n ``` \n \n Possiamo allora applicare il **Master Theorem particolare**:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n Θ(n log n) \\qquad per\\ n > 1\n ```\n \n ### Il caso peggiore\n \n Se il pivot è uno degli **estremi dell'array**, si creano due _partizioni sbilanciate_: una delle due sottoliste è sempre vuota! \n Allora:\n \n ```latex\n T(n) = T(n-1) + Θ(n)\\\\\n = T(n-2) + Θ(n-1) + Θ(n)\\\\\n = T(n-3) + Θ(n-2) + Θ(n-1) + Θ(n)\\\\\n = …\n ∈ Θ(n^2)\n ```\n \n > \"Non date da mangiare sequenze ordinate al Quicksort, gli sono indigeste.\"\n \n ## Pseudocodice\n \n ```python\n def partition(partizione, inizio, fine):\n \"\"\"Dividi una partizione in due, usando l'ultimo elemento come pivot.\n \n Note utili:\n partizione[fine] è il pivot\n partizione[maggiori] è il primo numero dei maggiori\n partizione[non_iterati] è l'elemento su cui si sta iterando al momento\"\"\"\n # Crea il primo separatore (la | pipe nell'esempio)\n maggiori = inizio\n # Crea il secondo separatore (la ¦ broken pipe nell'esempio)\n non_iterati = inizio\n # Itera su ogni numero tra inizio e fine (escluso!)\n while non_iterati < fine:\n # Se l'elemento su cui stiamo iterando è minore del pivot\n if partizione[non_iterati] <= partizione[fine]:\n # Mettilo nell'insieme dei minori, scambiandolo con il primo numero dei maggiori e incrementando il primo separatore\n partizione[maggiori], partizione[non_iterati] = partizione[non_iterati], partizione[maggiori]\n maggiori += 1\n # Incrementa sempre il secondo separatore\n non_iterati += 1\n # Inserisci il pivot tra le due sottopartizioni create, \n partizione[fine], partizione[non_iterati] = partizione[non_iterati], partizione[fine]\n return maggiori\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: invece che prendere l'ultimo numero come pivot prende il primo, cambiando leggermente l'algoritmo.)\n \n ## Note per l'esame\n \n > La domanda che fa sempre è **\"Qual è la sequenza di pivot utilizzata?\"**\n \n > Elementi da soli _non_ vengono presi come pivot!\n ")),n(t.a,null,n(a.a,null,'\n # Counting sort\n\n Il _counting sort_ è un approccio diverso all\'ordinamento: **non usa il confronto**!\n \n ## Requisiti\n \n Il counting sort può essere utilizzato solo su **sequenze di numeri interi**, e solo se **siamo a conoscenza del minimo e del massimo** dei numeri contenuti nell\'array, ed essi non sono troppo distanti uno dall\'altro. \n (La memoria occupata dal counting sort aumenta linearmente con la differenza tra minimo e massimo!)\n \n Per semplicità, consideriamo il **minimo `0`**. \n L\'input allora sarà una sequenza di interi `A`, e il valore del **massimo `k`**, tale che `∀ n ∈ A, 0 \\leq n \\leq K`.\n \n ## Funzionamento\n \n Il counting sort **conta le ripetizioni** delle chiavi nella sequenza originale e in seguito **sovrascrive i valori** della sequenza con i valori ordinati ripetuti il numero di volte che sono stati individuati nella sequenza.\n \n > ```\n > 1 4 5 3 4 1 4 2 5 1\n > ```\n >\n > L\'`1` appare 3 volte, il `2` 1 volta, il `3` 1 volta, il `4` tre volte e il `5` due volte.\n >\n > La sequenza viene quindi così sovrascritta:\n > ```\n > 1 1 1 3 4 1 4 2 5 1 # Sovrascriviamo la sequenza con 1 ripetuto 3 volte\n > 1 1 1 2 3 4 4 4 5 1 # Sovrascriviamo la sequenza con 2, 3, 4 ripetuti rispettivamente 1 1 e 3 volte\n > 1 1 1 2 3 4 4 4 5 5 # Sovrascriviamo la sequenza con 5 ripetuto 2 volte: abbiamo finito!\n > ``` \n \n Esiste anche una **versione stabile** del counting sort che, invece che sovrascrivere, **sposta i valori**, mantenendo le informazioni aggiuntive nel caso invece che interi fossero altri tipi di dati.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(k + n)` | `Ω(k + n)` | **`θ(k + n)`** |\n \n L\'algoritmo è composto da quattro parti:\n - Ricerca del minimo e massimo (in `θ(n)`)\n - Inizializzazione dell\'indice (in `θ(k)`)\n - Conteggio dei numeri (in `θ(n)`)\n - Sovrascrittura dei numeri (in `θ(k + n)`)\n \n `2 + O(k) + O(n) + O(k + n) -> O(k + n)`\n \n Notiamo che `k` è costante, l\'algoritmo è `O(n)`, estremamente efficiente.\n \n ## Pseudocodice\n \n ```python\n def counting_sort(lista: typing.List[int]):\n """Ordina in-place una lista con il counting sort."""\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all\'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l\'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Sovrascrivo i numeri nella lista\n count = 0\n for pos, val in enumerate(indice):\n for _ in range(val):\n indice[count] = pos\n count += 1\n \n def stable_counting_sorted(lista: typing.List[int], k: int) -> typing.List[int]:\n """Ordina stabilmente una lista con il counting sort stabile, e restituiscila."""\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all\'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l\'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Faccio diventare l\'indice "il numero di numeri \\leq i"\n for i in range(len(indice)):\n if i == 0:\n continue\n indice[i] += indice[i-1]\n assert indice[-1] == dim\n # Creo una nuova lista, che sarà quella che verrà restituita\n nuova = [None for _ in range(dim)]\n # Inizio a posizionare i numeri, al contrario\n for i in range(0, dim, -1):\n nuova[indice[lista[i]]] = lista[i]\n indice[lista[i]] -= 1\n return nuova\n ```\n ')),n(t.a,null,n(a.a,null,"\n ## Introduzione alle Strutture Dati\n\n Una _struttura dati_ è un modo in cui si possono organizzare i dati di un programma.\n \n Si possono definire in due modi: **elementari** e **astratte**.\n \n ### Strutture dati elementari\n \n Le strutture _elementari_ dipendono strettamente dal modo in cui vengono memorizzati i dati.\n \n > **Array** e **liste** sono strutture dati elementari: sono definite dicendo come sono memorizzati i dati, rispettivamente, in celle contigue di memoria e da una serie di nodi con un valore e che puntano al successivo.\n \n ### Strutture dati astratte\n \n Le strutture _astratte_ sono separate dal modo in cui vengono memorizzati i dati, sono più ad alto livello, e si definiscono descrivendo le **proprietà** della struttura e i **metodi** che su di essa possono essere effettuate.\n \n > Una _classe_ in un qualsiasi linguaggio di programmazione è una struttura dati astratta.\n \n > Una _pila_ astratta:\n > - memorizza dati tutti dello stesso tipo\n > - `pop()`, estrae dalla pila l'ultimo valore inserito\n > - `push(val)`, aggiunge alla pila un valore\n > - `top()`, permette di vedere l'ultimo valore inserito nella pila\n > - `vuota()`, dice se la pila è vuota oppure no.\n ")),n(t.a,null,n(a.a,null,'\n # Array\n\n Un _array_ è sequenza di dati di **lunghezza conosciuta**, tutti dello **stesso tipo** e di una **dimensione fissa**, immagazzinata in **blocchi di memoria contigui**.\n \n ## Proprietà\n \n - E\' possibile accedere a tutti i blocchi di memoria conoscendo la loro **posizione relativa al primo** elemento.\n \n ## Metodi\n \n ```python\n class Array:\n def __init__(self, size, type=int): "Crea un array di dimensione size di elementi di tipo int."\n def __getitem__(self, index): "Restituisci il valore alla posizione index."\n def __setitem__(self, index, value): "Cambia il valore alla posizione index."\n ```\n \n ### Costo computazionale\n \n Tutte le operazioni su un array sono in **accesso immediato `O(1)`**!\n ')),n(t.a,null,n(a.a,null,'\n # Lista\n \n Una _lista_ è una sequenza di dati immagazzinata in **blocchi di memoria qualsiasi**.\n \n ## Proprietà\n \n Ogni dato ha un **riferimento** alla collocazione di memoria **successiva** (un puntatore): insieme, sono detti un _nodo_.\n \n E\' di **natura ricorsiva**: qualsiasi nodo di una lista può essere visto come inizio della lista con sè stesso e i suoi successivi.\n \n ## Metodi\n \n ```python\n class LinkedList:\n def __init__(self, value, next: typing.Optional[Node] = None):\n self.value = value\n self.next: typing.Optional[Node] = next\n \n def is_empty(self) -> bool: "Restituisce se la lista è vuota o no."\n def is_full(self) -> bool: "Restituisce se la lista è piena o no.\n def append(self, value): "Aggiunge un nuovo elemento in testa alla lista."\n def insert(self, value, index): "Inserisce un elemento dopo il nodo in posizione index."\n def insert_node(self, value, node): "Inserisce un nuovo elemento subito dopo un dato nodo."\n def find(self, node) -> int: "Trova l\'indice del nodo."\n def delete(self, value): "Elimina il primo nodo con quel valore dalla lista."\n def delete_node(self, node): "Elimina il nodo dalla lista."\n def forward(self, index) -> Node: "Restituisce il nodo in posizione index."\n ```\n \n ### Costo computazionale\n \n #### `List.forward(index)`\n \n Per raggiungere l\'`n`-esimo elemento, bisogna _scorrere tutti gli elementi prima di esso_: è dunque un **accesso sequenziale** in **`O(n)`**.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(t.a,null,n(a.a,null,'\n # Coda (Queue)\n\n Una _coda_ è come una pila, ma segue la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo `enqueue()`**\n - I dati possono essere estratti solo tramite il **metodo `dequeue()`**\n - Verranno restituiti i valori inseriti secondo la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n > Hai presente quando fai la fila per pagare al supermercato? Beh, è quello, però non si possono superare le altre persone in nessun modo.\n \n ## Metodi\n \n ```python\n class Queue:\n def __init__(self): "Crea una nuova coda."\n def is_empty(self) -> bool: "Restituisce vero se la coda è vuota."\n def enqueue(self, data): "Aggiunge un dato alla coda."\n def first(self) -> ...: "Restituisce il primo dato della coda."\n def dequeue(self) -> ...: "Restituisce il primo dato della coda e lo rimuove."\n ```\n \n ## Implementazione tramite lista\n \n Posso implementare la coda con una lista, ma per realizzare l\'implementazione più efficiente devo tenere anche un puntatore all\'ultimo elemento della coda, in modo da non doverla scorrere ogni volta che voglio effettuare un\'operazione.\n \n Chiamiamo i due puntatori `head` e `tail` rispettivamente.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(t.a,null,n(a.a,null,'\n # Pila (Stack)\n\n Una _pila_ è una struttura dati contenente **valori omogenei**.\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo `push()`**\n - I dati possono essere estratti solo tramite il **metodo `pop()`**\n - Verranno restituiti i valori inseriti secondo la strategia **Last In, First Out** (l\'ultimo inserito sarà il primo a essere estratto).\n \n > Ci si può immaginare una pila di libri, da cui si può solo prendere un libro alla volta, quello più in alto.\n \n ## Metodi\n \n ```python\n class Stack:\n def __init__(self): "Crea una nuova pila."\n def is_empty(self) -> bool: "Restituisce vero se la pila è vuota."\n def push(self, data): "Aggiunge un dato alla pila."\n def top(self) -> ...: "Restituisce il primo dato della pila."\n def pop(self) -> ...: "Restituisce il primo dato della pila e lo rimuove."\n ```\n \n ## Implementazione tramite lista\n \n Utilizzando una lista possiamo realizzare una pila!\n \n La direzione dei puntatori sarà dall\'ultimo al primo, che non punterà più a nessuno.\n \n Il costo di tutti i metodi è `Θ(1)`!\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(t.a,null,n(a.a,null,"\n # Albero radicato\n \n Un _albero radicato_ è una struttura dati di **natura ricorsiva** che organizza i dati in maniera **non-lineare**.\n \n ## Proprietà\n \n - Ogni nodo dell'albero ha un **unico genitore**: `∀ (padre, figlio), (padre' figlio) ∈ E \\implies padre = padre'`\n - Ogni nodo dell'albero può avere **un numero qualsiasi di figli**.\n \x3c!----\x3e\n - I **nodi superiori al padre** vengono chiamati _antenati_.\n - I **nodi inferiori ai figli** vengono chiamati _discendenti_.\n \x3c!----\x3e\n - Nodi **senza padre** sono detti _radice_: `\\notexists (padre, radice) ∈ E`\n - Nodi **con padre e figli** sono detti _rami_ o interni.\n - Nodi **senza figli** sono detti _foglie_.\n \x3c!----\x3e\n - La **distanza** tra il nodo radice e i suoi discendenti è detta _livello_:\n - I figli immediati sono di livello 1.\n - I \"nipoti\" (figli dei figli) sono di livello 2.\n - I figli dei nipoti sono livello 3.\n - E così via.\n - Il **livello massimo** all'interno di un albero è detto _altezza_, _profondità_ oppure _h_, ed è sempre `1 ≤ h ≤ n-1`.\n \x3c!----\x3e\n - Un albero ha sempre `n-1` archi.\n \n ## Alberi particolari\n \n ### Alberi `d`-ari\n \n Un albero _`d`-ario_ è un particolare tipo di albero che **limita il numero massimo di figli di un nodo** a `d`.\n \n > Un albero _binario_ può avere **massimo 2 figli** per ogni nodo; un albero _ternario_ ne può avere **3**; un albero _`17`-ario_ ne potrà avere **17**\n \n #### Alberi completi\n \n Un albero `d`-ario si dice _completo_ se **tutti i nodi hanno 0 o `d` figli**, e mai una numero in mezzo.\n \n #### Alberi bilanciati\n \n Un albero `d`-ario si dice _bilanciato_ se **tutti i livelli eccetto l'ultimo** hanno il numero massimo di figli.\n \n #### Alberi perfettamente bilanciati\n \n Un albero `d`-ario si dice _perfettamente bilanciato_ se **tutti i livelli incluso l'ultimo** hanno il numero massimo di figli.\n \n ##### Particolarità degli alberi binari perfettamente bilanciati\n \n Si può dimostrare per induzione che:\n - Hanno sempre `2^h` foglie.\n - Hanno sempre `2^{h+1}-1` (`\\sum_i=0^n 2^i`) nodi.\n - L'altezza è in `Θ(log n)`.\n \n ## Implementazione degli alberi\n \n Possiamo scegliere se usare una rappresentazione con array o con nodi e puntatori: ognuna ha vantaggi e svantaggi diversi.\n \n ### Implementazione tramite array\n \n E' suggerito se l'albero è regolare; più è simile a un albero d-ario completo, meglio è.\n \n ### Implementazione tramite nodi e puntatori\n \n Più adatta ad alberi irregolari.\n \n Se l'albero è regolare, creiamo il numero esatto di campi:\n \n - Valore\n - Figlio1\n - Figlio2\n - _Opzionale:_ Padre\n \n Se un albero è irregolare, creiamo una specie di lista:\n \n - Valore\n - Primo figlio\n - Prossimo fratello\n - _Opzionale:_ Padre\n ")),n(t.a,null,n(a.a,null,"\n #### Breadth-first search (BFS)\n\n La _breadth-first search_ è un algoritmo che visita **ogni livello** dell'albero in ordine, dal più basso al più alto.\n \n ## Funzionamento\n \n > 1. __Visita radice__\n > 2. __Visita figli__\n > 3. __Visita nipoti__\n > 4. __Visita pronipoti__\n \n Si può implementare con una coda, in cui verranno inseriti i figli del nodo visitato da visitare ed estratti dopo avere completato la visita del livello attuale.\n \n ## Pseudocodice \n \n ```python\n def bfs(radice):\n c = Queue()\n c.enqueue(radice)\n while not c.is_empty():\n nodo = c.dequeue()\n print(nodo)\n for figlio in nodo.figli:\n nodo.enqueue(figlio)\n ```\n ")),n(t.a,null,n(a.a,null,"\n # Depth-First Search\n\n La _depth-first search_ è un algoritmo che visita **tutti i sottoalberi di un figlio** prima di passare ad un altro sfruttando la natura ricorsiva degli alberi.\n \n ## Funzionamento\n \n Ci sono diverse versioni della depth-first search: ognuna visita la radice in un momento diverso.\n \n ### DFS previsita (pre-order)\n \n La _DFS pre-visita_ visita la **radice per prima**, poi tutti i sottoalberi formati dai figli uno dopo l'altro.\n \n > 1. __Visita radice__\n > 2. dfs_pre_order(figlio1)\n > 3. dfs_pre_order(figlio2)\n \n ### Postvisita (post-order)\n \n La _DFS postvisita_ visita prima tutti i sottoalberi dei figli, e **alla fine la radice**.\n \n > 1. dfs_post_order(figlio1)\n > 2. dfs_post_order(figlio2)\n > 3. __Visita radice__\n \n ### Invisita (in-order)\n \n La _DFS invisita_ visita **un certo numero di figli**, poi la radice, e infine i figli restanti.\n \n > 1. dfs_in_order(figlio1, 1)\n > 2. __Visita radice__\n > 3. dfs_in_order(figlio2, 1)\n ")),n(t.a,null,n(a.a,null,"\n # Albero binario di ricerca\n\n ## Proprietà\n \n - Albero **binario**\n - Chiavi appartenenti ad un **insieme totalmente ordinato** (N, Q, R, ma non C)\n \x3c!----\x3e\n - Per ogni nodo con valore `x`, se un valore `v` è nel sottoalbero di sinistra allora `v ≤ x`, mentre se è nel sottoalbero di destra allora `v > x`.\n \n ## Costo computazionale\n \n - Trovare un valore: `O(h)`\n - Ordinare i valori: `O(n)`\n - Trovare il minimo: `O(h)`\n - Trovare il massimo: `O(h)`\n - Inserire un elemento: `O(h)`\n - Cancellare un elemento: `O(h)`\n \n `h` vale `log n` in un albero perfettamente bilanciato, e più l'albero diventa sbilanciato, più si avvicina a `n`, raggiungendola nel caso l'albero sia una lista.\n \n ## Pseudocodice\n \n ### Cancellazione ricorsiva\n \n ```python\n def delete(tree, key):\n if tree is not None:\n # Se ho trovato il nodo che cercavo...\n if tree.key == key:\n # E c'è una sola diramazione...\n # Semplicemente stacca il nodo come in una lista.\n if tree.left is None:\n return tree.right\n if tree.right is None:\n return tree.left\n # Altrimenti, diventa il minimo dell'albero di destra\n tree.key = tree.right.min()\n # Ed eliminalo dal sottoalbero\n tree.right = delete(tree.right, tree.key)\n # Se la chiave attuale è diversa da quella che cerchiamo, continuo a navigare l'albero\n elif tree.key < key:\n tree.left = delete(tree.left, key)\n else:\n tree.right = delete(tree.right, key)\n return tree\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/bst)\n \n ## Approfondimenti\n \n Esistono alberi più avanzati che mantengono le proprietà degli alberi binari di ricerca, ma che si autobilanciano, come il [Red Black Tree](https://it.wikipedia.org/wiki/RB-Albero).\n ")),n(t.a,null,n(a.a,null,'\n # Heap binario\n \n L\'_heap binario_ è un **albero binario bilanciato a sinistra**.\n \n ## Proprietà\n \n - _Proprietà strutturale_:\n - L\'albero è **perfettamente bilanciato** in tutti i livelli tranne l\'ultimo\n - Nell\'ultimo livello, le foglie occupano le **posizioni più a sinistra** possibili\n - _Proprietà di ordinamento_:\n - La chiave di un qualsiasi nodo è **più piccola** di tutte quelle dei nodi **del suo sottoalbero**\n \n ## Metodi\n \n ```python\n class Heap:\n def __init__(self, H): ...\n def _heapify_ancestors(self, i): "Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi genitori."\n def minimum(self): "Restituisce la chiave con il valore minimo in H."\n def decrease_value(self, index, new_value): "Diminuisce il valore della chiave all\'indice index a new_value."\n def insert(self, value): "Inserisci un nuovo valore nell\'albero."\n def _heapify_children(self, i): "Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi figli."\n def pop(self): "Restituisce la chiave con il valore minimo, e la elimina."\n def from_list(l): "Crea un heap da una lista."\n ```\n \n ## Implementazione con un array\n \n Possiamo implementare l\'albero utilizzando un array con le chiavi dell\'albero memorizzate nell\'ordine _breadth-first_.\n \n L\'indice del figlio sinistro può essere trovato a `2i+1`, mentre l\'indice del figlio sinistro può essere trovato a `2i+2`; il genitore è a `i//2-1`.\n \n ### Pseudocodice\n \n ```python\n class Heap:\n def __init__(self, size):\n self.array = Array(size) # Il tipo Array non esiste; consideriamolo pseudocodice\n self.next_value = 0\n \n def _heapify_ancestors(self, index)\n """Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi genitori.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice del genitore\n parent = index // 2 - 1\n # Controllo se viene mantenuta la proprietà di ordinamento dell\'heap\n if self.array[index] < self.array[parent]:\n # Scambio i valori dei due nodi\n self.array[index], self.array[parent] = self.array[parent], self.array[index]\n # Faccio la stessa cosa con il genitore\n self._heapify(parent)\n \n \n def minimum(self):\n """Restituisce la chiave con il valore minimo in H.\n \n Costo:\n O(1)"""\n return self.array[0]\n \n def decrease_value(self, index, new_value):\n """Diminuisce il valore della chiave all\'indice index a new_value.\n \n Costo:\n O(log n)"""\n # Diminuisco il valore del nodo\n self.array[index] = new_value\n # Aggiorno l\'heap \n self._heapify(index)\n \n def insert(self, value):\n """Inserisci un nuovo valore nell\'albero.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice in cui inserire il valore\n index = self.next_index \n # Aggiungo il valore in fondo\n self.array[index] = value\n # Aggiorno l\'heap\n self._heapify(index)\n \n def _heapify_children(self, index):\n """Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi figli.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice dei figli\n left = index * 2 + 1\n right = index * 2 + 2\n # Mi assicuro che i figli esistano\n try:\n # Guardo quale dei figli è maggiore\n if self.array[left] > self.array[right]:\n # Scambio i valori\n self.array[left], self.array[index] = self.array[index], self.array[left]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n else:\n # Scambio i valori\n self.array[right], self.array[index] = self.array[index], self.array[right]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n except IndexError:\n # La foglia non ha figli: ho finito!\n return\n \n def pop(self):\n """Restituisce la chiave con il valore minimo, e la elimina.\n \n Costo:\n O(log n)"""\n # Mi salvo il valore della radice\n value = self.array[0]\n # Sostituisco la radice con l\'ultima foglia a destra\n self.array[0], self.array[self.next_value] = self.array[self.next_value], self.array[0]\n ### Non bisognerebbe eliminare la foglia...?\n # Riordino l\'heap\n self._heapify_children(0)\n return value\n \n @staticmethod\n def from_list(l):\n """Crea un heap da una lista.\n \n Costo:\n O(n log n), ma si può abbassare"""\n heap = Heap(len(l)))\n heap.array = Array.from_list(l) # Pseudocodice\n heap.next_value = len(l)\n # Cominciamo a riordinare l\'heap dalla fine, in modo che rispetti le proprietà\n for index in range(heap.next_value, 0, -1):\n heap._heapify_children(index)\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/heap)\n ')),n(t.a,null,n(a.a,null,"\n # Coda con priorità\n \n La _coda con priorità_ è una struttura dati dal funzionamento molto simile a quello di una coda, ma invece che restituire il primo elemento inserito, essa restituisce l'**elemento con il valore di priorità minore**.\n \n ## Proprietà\n \n - Ogni elemento è una coppia costituita da **valore** e **priorità** (un numero intero).\n - Nuovi elementi possono essere aggiunti solo tramite il **metodo `insert()`**\n - Gli elementi possono essere estratti solo tramite il **metodo `pop()`**\n - Verranno restituiti i valori inseriti secondo la strategia **Lower Priority** (l'elemento con la priorità minore sarà il primo ad essere restituito).\n - E' possibile diminuire la priorità di un elemento (e quindi anticipare la sua estrazione)\n \n ## Metodi\n \n ```python\n class PriorityQueue:\n def __init__(self): ...\n def insert(self, new_elem: Element): ...\n def minimum(self) -> Element: ...\n def pop(self) -> Element: ...\n def decrease_priority_for(self, elem: Element, priority: int): ...\n ```\n \n ## Implementazione con lista\n \n E' possibile implementare la coda con priorità tramite una **lista**: l'inserimento di nuovi valori diventerà molto efficiente, ma tutte le altre operazioni saranno linearmente lente.\n \n ### Costo computazionale\n \n - *insert()*: `O(1)`\n - *minimum()*: `O(n)`\n - *pop()*: `O(n)`\n - *decrease_priority_for()*: `O(n)`\n \n ## Implementazione con lista ordinata\n \n Implementando la coda con priorità con una **lista ordinata** si avrà un costo di ordinamento elevato negli inserimenti e modifiche alla priorità, ma costi costanti nell'estrazione di un elemento.\n \n ### Costo computazionale\n \n - *insert()*: `O(n)`\n - *minimum()*: `O(1)`\n - *pop()*: `O(1)`\n - *decrease_priority_for()*: `O(n)`\n \n ## Implementazione con heap\n \n La **soluzione migliore** è quella di implementare la coda con priorità tramite un **heap**: tutti i costi saranno logaritmici, eccetto l'inserimento che sarà costante.\n \n - `insert()` costa `O(1)`\n - `minimum()` costa `O(log n)`\n - `pop()` costa `O(log n)`\n - `decrease_priority_for()` costa `O(log n)`\n \n ## Approfondimenti\n \n Esistono code con priorità che restituiscono **l'elemento con priorità maggiore**, invece che quello minore.\n ")),n(t.a,null,n(a.a,null,"\n # Heap sort\n\n L'_heap sort_ è un algoritmo di ordinamento per confronto **iterativo**.\n \n ## Funzionamento\n \n Per effettuare un heap sort, creiamo un **heap massimo** in cui inseriamo tutti i valori che vogliamo ordinare.\n \n Una volta applicate le proprietà dell'heap, chiamiamo una versione particolare di `heap.pop()` che invece che rimuovere dall'array i valori estratti li posiziona nello spazio creatosi in fondo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n log n)` | `Ω(n log n)` | **`θ(n log n)`** |\n ")),n(t.a,null,n(a.a,null,"\n # Grafo\n \n Un _grafo_ è una struttura dati che rappresenta elementi interconnessi tra loro.\n \n Esistono due tipi di grafi: _orientati_ e _non orientati_.\n \n Per semplicità, consideriamo i nostri nodi numerati da 1 a `n`.\n \n ## Proprietà\n \n - Gli elementi sono rappresentati tramite _nodi_.\n - Il loro _grado_ è dato dal **numero degli archi** che vi incidono.\n - Se il grafo è orientato, hanno anche un _in-degree_ (**numero di archi entranti**) e un _out-degree_ (**numero di archi uscenti**).\n - Le connessioni tra elementi sono rappresentate tramite _archi_.\n - Un arco _incide_ esattamente su **due nodi**.\n - Se il grafo è orientato, sono _uscenti_ da uno dei due nodi ed _entranti_ nell'altro.\n - Sono matematicamente meno del **quadrato dei nodi**.\n \n ## Grafi particolari\n \n ### Catena\n \n Una _catena_ è un **grafo non orientato** composto da una **sequenza di nodi** aventi un **grado massimo di 2** tutti collegati tra loro.\n \n ### Cammino\n \n Un _cammino_ è un **grafo orientato** composto da una **sequenza di nodi** aventi un **in-degree** e un **out-degree** **massimo di 1**, collegati tra loro in modo che partendo dal primo e seguendo gli archi sia possibile arrivare all'ultimo.\n \n ### Cricca\n \n Una _cricca_ è un grafo in cui **tutti i nodi sono collegati tra loro**.\n \n Se il grafo è **non orientato**, la cricca ha `((n-1)n)/2` archi.\n \n Se il grafo è **orientato**, ha per ogni coppia un arco in entrambe le direzioni, quindi ha `(n-1)n` archi.\n \n ### Direct Acyclic Graph\n \n Un _DAG_ è un grafo diretto che non contiene nessun ciclo.\n \n Su di esso possiamo effettuare un ordinamento, detto _linearizzazione_, tra i nodi: otteniamo l'_ordine topologico_.\n \n I primi elementi dei DAG sono detti _Source_ (_Sorgente_), mentre gli ultimi sono detti _Sink_ (_Pozzo_).\n \n #### Albero\n \n Un **albero** può essere considerato un DAG con una **sorgente singola** e le **foglie come pozzi**.\n \n ### Grafo fortemente connesso\n \n Un insieme di nodi `V` di un **grafo diretto** `G` si dice una _componente fortemente connessa_ se:\n \n 1. Per ogni coppia di nodi `∀ u, v ∈ V' : ∃ un cammino u->v in G'`\n 2. Massimale (non può diventare più grande)\n \n > Praticamente una componente fortemente connessa è un gruppo di nodi tra i quali si può viaggiare liberamente da e a qualsiasi nodo al suo interno.\n \n Un grafo si dice _fortemente connesso_ se l'insieme `V` coincide con l'insieme dei nodi del grafo `G`.\n \n > Se partendo da qualsiasi nodo di un grafo riesco ad arrivare a qualsiasi altro nodo, allora il grafo è fortemente connesso.\n \n Inoltre, se creiamo un nuovo grafo, in cui **ogni nodo rappresenta una componente fortemente connessa** del nostro grafo iniziale, **otteniamo un DAG**, perchè tutti i cicli sono stati integrati nella componente.\n \n ### Trasposto di un grafo\n \n Il _trasposto_ di un **grafo diretto** `G` è il grafo stesso con gli archi che però vanno nella **direzione opposta**.\n \n ### Grafo pesato\n \n Un _grafo pesato_ è un particolare grafo che associa a ciascun arco un **costo** per attraversarlo.\n \n #### Costi negativi\n \n I costi possono anche essere negativi: rappresenteranno allora un **guadagno** ottenuto attraversando il nodo.\n \n ### Minimum spanning tree\n \n Un _minimum spanning tree_ è il **sottoinsieme degli archi** di un **grafo non diretto** che **connettono tutti i nodi** con il **minor costo possibile**.\n \n I MST hanno [molte proprietà](https://en.wikipedia.org/wiki/Minimum_spanning_tree#Properties); sono troppe da scrivere qui, e probabilmente non ci interesseranno nemmeno.\n \n ## Implementazione tramite matrice di adiacenza\n \n Possiamo implementare un grafo creando una **matrice di `bool` di dimensione `n * n`** in cui le **caselle collegate sono vere** e le caselle non collegate sono false.\n \n > Ad esempio, possiamo implementare un grafo non orientato in questo modo (`█` indica l'esistenza di un collegamento e ` ` indica la sua assenza):\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|░|░|\n > |2|█|░|░|\n > |3|█| |░|\n >\n > Esistono gli archi `1-2` e `1-3`, ma non esiste un collegamento `2-3`.\n \n > Un grafo orientato invece si può implementare così:\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|█| |\n > |2|█|░| |\n > |3|█| |░|\n >\n > Esistono gli archi `1->2`, `2->1` e `3->1`, ma non ci sono collegamenti `2->3`, `1->3` e `3->2`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Le matrici di adiacenza portano alla realizzazione di algoritmi molto veloci: verificare l'esistenza di un arco è in `O(1)`!\n \n Abbiamo però penalità significative quando vogliamo effettuare operazioni sugli archi: ad esempio, trovare il trasposto di un grafo implementato con una matrice di adiacenza è in `O(nodi²)`.\n \n #### Memoria\n \n E' poco efficiente in quanto a memoria: l'upper bound è in `O(n^2)`. \n \n ## Implementazione tramite liste di adiacenza\n \n Un'alternativa alla matrice di adiacenza è quella di creare un'**array di liste**, le quali contengono i **vicini di ciascun nodo**.\n \n > |Posizione|Lista|\n > |-|-|\n > |1|[2, 3]|\n > |2|[]|\n > |3|[1]|\n >\n > Esistono gli archi `1->2`, `1->3`, e `3->1`, ma non esistono `2->1`, `2->3` e `3->2`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Utilizzando le liste di adiacenza, il tempo richiesto per verificare l'esistenza di un arco sale a `O(max-out-degree)`.\n \n E' efficace però quando il problema che vogliamo risolvere riguarda operazioni su archi: trovare la trasposta è in `O(archi)`.\n \n #### Memoria \n \n La memoria richiesta dalle liste di adiacenza è minore di quella delle matrici: l'upper bound è in `O(nodi + archi)`.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/graphds)\n ")),n(t.a,null,n(a.a,null,"\n # Visitare un grafo\n \n Come per gli alberi radicati, esistono due modi per visitare un grafo: _depth-first search_ e _breadth-first search_.\n \n In entrambi i casi, non visito mai due volte lo stesso nodo, e come risultato ottengo **molteplici alberi**, il cui insieme viene detto _foresta di copertura_.\n \n Se il grafo che vogliamo visitare è diretto, allora dobbiamo **considerare come vicini solo gli archi uscenti**\n \n ## Depth-first search\n \n La DFS ci può risultare utile per **identificare le componenti connesse** di un grafo e **identificare eventuali cicli**.\n \n ### Funzionamento\n \n Posso utilizzare la DFS per classificare gli archi di un grafo in quattro categorie:\n \n - _Tree_, archi che ci fanno **scoprire un nuovo nodo**\n - _Forward_, archi che ci portano a un **discendente**\n - _Back_, archi che ci portano ad un **antenato**\n - _Cross_, archi che **connettono due sottoalberi** diversi\n \n Usiamo due array inizializzati a 0 chiamati `pre` e `post`, grandi quanto il numero di archi del grafo, che ci indicano rispettivamente quando un nodo è stato scoperto e quando è terminata la visita. \n Inoltre, creiamo una variabile `clock` che avanza ad ogni evento. \n Alla scoperta di un nuovo nodo, mettiamo il valore attuale di `clock` all'interno di `pre[n]`. \n Alla fine della visita di un nodo invece mettiamo il valore di `clock` in `post[n]`.\n \n **Durante la visita**, gli archi avranno i seguenti valori:\n - _Tree_: `pre[dst] == 0`\n - _Forward_: `pre[src] < pre[dst] && post[dst] > 0`\n - _Back_: `pre[dst] < pre[src] && post[dst] == 0`\n - _Cross_: Tutti gli altri (`post[dst] < pre[src]`)\n \n **A fine visita**, gli archi avranno i seguenti valori:\n - _Tree_: `pre[dst] < pre[dst] < post[dst] < pre[src]`\n - _Forward_: `pre[dst] < pre[dst] < post[dst] < pre[src]`\n - _Back_: `pre[src] < pre[dst] < post[dst] < post[src]`\n - _Cross_: `pre[dst] < post[dst] < pre[src] < post[src]`\n \n Se un **grafo non diretto** contiene degli **archi Back**, allora esso **conterrà un ciclo**.\n \n #### DFS nel grafo trasposto\n \n Se effettuo una DFS sul trasposto di un grafo, posso **scoprire i nodi che hanno un cammino verso l'origine**.\n \n #### DFS nella componente fortemente connessa\n \n Se effettuo una DFS in una componente fortemente connessa e nella sua trasposta, il **`post` della trasposta sarà sempre minore** del `post` della componente originale.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n | Memoria | `O(nodi)` | `Ω(nodi)` | **`θ(nodi)`** |\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n \n ## Breadth-first search\n \n La BFS ci può risultare utile per **trovare tutti i nodi a una certa distanza** da un'origine.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n | Memoria | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n \n ### Pseudocodice\n \n Come per gli alberi, la implementiamo in modo **iterativo**:\n \n ```python\n queue = [starting_node]\n parents = [None for node in graph.nodes]\n distance = [-1 for node in graph.nodes]\n \n # TODO: controllami quando sei più sveglio\n \n while queue:\n node, source, distance = queue.pop(0)\n parents[node.number] = source\n distance[node.number] = distance\n for neighbour in node.neighbours:\n queue.append((neighbour, node, distance+1))\n ```\n \n > Nella coda, la distanza massima tra un nodo e l'altro è 1.\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n ")),n(t.a,null,n(a.a,null,"\n # Algoritmi greedy\n\n Un modo per risolvere problemi algoritmici può essere usare una **tecnica** _greedy_.\n \n Le tecniche greedy consistono nel effettuare tanti piccoli passi, ed effettuare una **scelta** in base ai dati **locali al passo attuale**.\n \n > Scegli il numero di monete più piccole possibili per comporre €1.12.\n >\n > L'algoritmo cerca di scegliere sempre la moneta più grande possibile compatibile con il prezzo in quel momento, quindi:\n > | Moneta scelta | Rimanente |\n > |---------------|-----------|\n > | € 1.00 | € 0.12 |\n > | € 0.10 | € 0.02 |\n > | € 0.02 | € 0.00 |\n \n ## Esempi\n \n Sono algoritmi greedy:\n \n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n ")),n(t.a,null,n(a.a,null,"\n # Percorso più breve\n\n Trovare il _percorso più breve_ (o _cammino minimo_) tra due nodi di un **grafo pesato** è un problema frequente nell'informatica; per questo, sono stati sviluppati [numerosi algoritmi](https://en.wikipedia.org/wiki/Shortest_path_problem) per risolverlo.\n \n > Ad esempio, il pathfinding dei nemici nei videogiochi, oppure Google Maps!\n \n ## Percorso più breve da una sorgente singola\n \n Una sottocategoria del problema del percorso più breve è il caso in cui ci interessa sapere i percorsi più brevi che **partono da uno specifico nodo del grafo**: è detto problema del _percorso più breve da una sorgente singola_, o _single-source shortest path_.\n \n Si può notare che se il grafo contiene **costi negativi** allora è possibile che il percorso più breve non esista, in quanto diventa possibile la comparsa di **cicli di costo infinitamente negativo**.\n \n Possiamo notare che, se il percorso più breve tra `A` e `D` è `A-B-C-D`, allora il cammino minimo tra `B` e `D` passerà obbligatoriamente per `C` (`B-C-D`).\n Diremo più avanti che il percorso più breve ha una **sottostruttura ottimale**.\n \n ### Esempi\n \n Alcuni algoritmi che trovano il percorso più breve sono:\n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Bellman-Ford_\n - La [_ricerca A*_](https://en.wikipedia.org/wiki/A*_search_algorithm)\n ")),n(t.a,null,n(a.a,null,"\n # Algoritmo di Dijkstra\n \n L'_Algoritmo di [Dijkstra](https://upload.wikimedia.org/wikipedia/commons/8/85/Dijkstra.ogg)_ è un algoritmo che risolve il problema del **percorso più breve da una sorgente singola** per grafi con pesi **reali positivi** `\\mathbb{R}^+`.\n \n L'algoritmo trova tutti i percorsi più brevi per raggiungere qualsiasi nodo del grafo partendo da un dato nodo, assieme al costo richiesto per farlo.\n \n ## Funzionamento\n \n 1. Separiamo tutti i nodi del grafo in due gruppi: **visitati** e **non visitati**. \n - Tutti i nodi partono da **non visitati**.\n 2. Per ogni nodo, manteniamo un valore \"**costo richiesto per raggiungerlo**\", che verrà cambiato man mano che l'algoritmo avanza.\n - Il costo di partenza è `+∞`.\n - Il costo sarà **definitivo per i nodi visitati**, e **provvisorio per i non visitati**.\n 3. Creiamo un insieme detto _frontiera_ che conterrà tutti i **nodi non visitati adiacenti** a quelli visitati.\n 4. Prendiamo il nodo iniziale, che avrà un **costo di `0`**, e definiamolo il nodo _attuale_.\n 5. Finchè ci sono dei nodi non sono stati visitati, ripetiamo il seguente ciclo:\n 1. Aggiungiamo i nodi adiacenti al nodo attuale alla frontiera.\n - Il costo per raggiungerli sarà il **costo per il nodo attuale sommato al costo dell'arco** che li connette al nodo attuale. \n Se questo **costo** risulta essere **minore del costo provvisorio** precedente, esso **diventerà il nuovo costo**.\n - Questa operazione è detta _rilassamento dell'arco_.\n 2. Facciamo diventare **visitato** il nodo attuale.\n - Il percorso che abbiamo fatto per raggiungerlo è obbligatoriamente il più breve.\n 3. Il prossimo nodo attuale sarà il nodo di frontiera con un costo più basso.\n - Per questo, è possibile definire l'algoritmo di Dijkstra come un **algoritmo greedy**.\n \n ### Non funziona se...\n \n L'algoritmo smette di funzionare nel caso in cui siano presenti **costi negativi** e il grafo non sia **aciclico**, in quanto non saremmo mai in grado di rendere visitato un nodo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(nodi + archi) log nodi)` |\n \n ### Scomposizione\n \n - Inizializzazione: `O(nodi)`\n - Creazione coda priorità: `O(nodi log nodi)`\n - Ciclo: `O((nodi + archi) log nodi)`\n \n ## Pseudocodice\n \n ```python\n import math\n \n class Info:\n def __init__(self, distance=math.inf, previous=None):\n self.distance = distance\n self.previous = previous\n \n def dijkstra(graph, start):\n data = [Info() for node in graph.nodes]\n queue = PriorityQueue([start])\n while queue:\n node = queue.pop()\n for arc in node.connections:\n other = arc.other(node)\n if data[node.number].distance + arc.cost < data[other].distance:\n data[other].distance = data[node.number].distance + arc.cost\n queue.decrease_priority_for(other, data[other].distance)\n data[v].previous = node\n return data\n ```\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n ")),n(t.a,null,n(a.a,null,"\n # Algoritmo di Bellman-Ford\n\n L'_Algoritmo di Bellman-Ford_ è un algoritmo che, come l'Algoritmo di Dijkstra, risolve il problema del **percorso più breve da una sorgente singola**, però, a differenza da quest'ultimo, l'Algoritmo di Bellman-Ford accetta in input anche grafi con pesi **reali** `\\mathbb{R}` (sia positivi, sia negativi).\n \n ## Funzionamento\n \n L'approccio dell'algoritmo è simile a quello di Dijkstra: entrambi usano il **rilassamento** degli archi per ottenere un costo provvisorio per il raggiungimento di un nodo, ma invece che rilassare solo l'arco con costo inferiore, questo algoritmo **rilassa tutti gli archi** ripetutamente, eliminando la frontiera e il problema dei nodi negativi.\n \n L'operazione di rilassamento è ripetuta `nodi - 1` volte, ovvero la **lunghezza massima** di un cammino aciclico all'interno di un grafo.\n \n Possiamo individuare dopo i rilassamenti se è presente un nodo con un **ciclo negativo**: ci basta controllare se esiste un arco che connette due nodi con una distanza incompatibile: se `a.distanza + arco.costo < b.distanza`, allora è presente un ciclo negativo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(nodi * archi)` |\n \n ## Pseudocodice\n \n > TODO\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n ")),n(t.a,null,n(a.a,null,'\n # Disjoint set\n \n Il _disjoint set_ è una struttura dati che rappresenta elementi di un insieme raggruppati in **sottoinsiemi disgiunti**.\n \n ## Metodi\n \n ```python\n class DisjointNode:\n def __init__(self): ...\n def find_set(self): "Trova il rappresentante dell\'elemento."\n def union(self, other): "Unisce i sottoinsiemi che contengono questo nodo e `other`."\n ```\n \n ## Implementazione tramite array\n \n Possiamo implementare il disjoint set con due array: uno per l\'**indice del rappresentante** e uno per il **rango dell\'insieme**.\n \n Un singoletto avrà **sè stesso come rappresentante** e **rango `0`**.\n \n ### Costo computazionale\n \n - *create_set()*: `O(1)`\n - *find_set()*: `O(h)`\n - *union()*: `O(h)`\n \n ### Pseudocodice\n \n ```python\n class DisjointNode:\n def __init__(self):\n self.parent = self\n self.rank = 0\n \n def find_set(self):\n element = self\n while self.parent != element:\n element = self.parent\n return element\n \n def union(self, other):\n repres_self = self.find_set()\n repres_other = other.find_set()\n if repres_self == repres_other:\n return\n if repres_self.rank < repres_other.rank:\n repres_greater = repres_other\n repres_lesser = repres_self\n else:\n repres_greater = repres_self\n repres_lesser = repres_other\n repres_lesser.parent = repres_greater\n if repres_greater.rank == repres_lesser.rank:\n repres_greater.rank += 1\n ```\n \n ### Visualizzazione\n \n [cs.usfca.edu](https://www.cs.usfca.edu/~galles/JavascriptVisual/DisjointSets.html)\n ')),n(t.a,null,n(a.a,null,"\n # Trovare il minimum spanning tree\n\n Un altro problema ricorrente riguardante i grafi è trovare il _minimum spanning tree_ di un dato grafo non diretto.\n \n > E' utile per trovare il modo più efficiente per connettere le cose: ad esempio, per decidere la struttura di una rete internet!\n \n ## Esempi\n \n Gli algoritmi principali che risolvono il problema sono due, ed entrambi sono **algoritmi greedy**:\n \n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n ")),n(t.a,null,n(a.a,null,"\n # Algoritmo di Kruskal\n \n L'_Algoritmo di Kruskal_ è un algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n 1. Ripetiamo questa procedura finchè tutti i nodi non sono connessi:\n 1. Prendiamo ad ogni passo **l'arco meno costoso** del grafo non ancora aggiunto all'insieme.\n 2. Assicuriamoci che **non si creino cicli**: se non se ne verrebbero a creare, possiamo **aggiungere l'arco all'insieme**.\n - Gli archi devono quindi connettere nodi in **componenti connesse diverse**.\n - Possiamo rappresentare le componenti connesse con un **Disjoint Set**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(archi²)` |\n \n ### Scomposizione\n \n - DisjointSet.__init__(): `O(archi)`\n - Per ogni ciclo: `O(archi²)`\n - DisjointSet.find_set(): `O(1)`\n - DisjointSet.union(): `O(archi)`\n \n ## Pseudocodice\n \n ```python\n def minimum_spanning_tree_kruskal(graph):\n ds = DisjointSet()\n for node in graph.nodes:\n ds.create_set(node)\n arcs = []\n sorted_arcs = sorted(graph.arcs, key=lambda arc: arc.cost)\n for arc in sorted_arcs:\n if ds.find_set(node.start) != ds.find_set(node.end):\n arcs.append(arc)\n ds.union(node.start, node.end)\n return arcs\n ```\n ")),n(t.a,null,n(a.a,null,"\n # Algoritmo di Prim\n \n L'_Algoritmo di Prim_ è un altro algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n Creo una **coda con priorità** in cui inserisco tutti gli archi visibili dal mio albero, in cui la chiave è il **costo dell'arco**.\n \n Per trovare l'arco con costo più piccolo posso **estrarre un arco** dalla coda: la priorità ci garantisce che esso è l'**arco meno costoso**.\n \n Aggiungo allora un nuovo nodo all'albero, e con esso, **aggiungo alla coda** tutti gli **archi che scoprono un nuovo nodo**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(archi + nodi log nodi)` |\n \n ## Pseudocodice\n \n ```python\n import math\n \n def minimum_spanning_tree_prim(graph, cost_array, start_node):\n # E' un Array di bool: se l'indice corrispondente al nodo è uguale a true, vuol dire che il (nodo è contenuto nell'albero.\n contains = [False for _ in range(len(graph))]\n # Contiene il precedente di ogni nodo \n prev = [None for _ in range(len(graph))]\n # Contiene il costo per arrivare a quel nodo\n cost = [math.inf for _ in range(len(graph))]\n # Creo la priority queue\n pq = PriorityQueue(graph.arcs, key=lambda arc: arc.cost)\n # Parto dal nodo `start_index`\n # Il costo dell'origine è 0.\n cost[start_node.index] = 0\n contains[start_node.index] = True\n \n while not pq.is_empty():\n new_node = pq.pop()\n contains[new_node.index] = True\n for arc in new_node.connections:\n other_node = arc.other(new_node)\n if not contains[other_node.index] and cost[other_node.index] > arc.cost:\n cost[other_node.index] = arc.cost\n prev[other_node.index] = new_node\n pq.decrease_priority_for(other_node, arc.cost)\n # L'array di prev rappresenta un albero.\n return prev\n ```_\n ")),n(t.a,null,n(a.a,null,"\n # Compressione\n\n _Comprimere_ un file significa **ridurne le dimensioni** senza modificarne il significato.\n \n ## Categorie\n \n ### Compressione lossless\n \n Nella _compressione lossless_, i dati possono essere decompressi riottenendo una copia identica dell'originale.\n \n > Immaginiamo un file che contiene solo le lettere `a, b, c, d, e, f`.\n >\n > Le lettere compaiono con questa frequenza:\n > |a|b|c|d|e|f|\n > |45%|13%|12%|16%|9%|5%|\n >\n > Possiamo codificare le lettere nel seguente modo:\n > |a|b|c|d|e|f|\n > |`0b0`|`0b100`|`0b101`|`0b111`|`0b1100`|`0b1101`|\n >\n > Scrivere `abacadae` richiederebbe 64 bits con la codifica ASCII estesa, ma in questo modo riusciamo a scriverlo con soli 17 bits!\n \n Le codifiche di un file compresso devono rispettare la proprietà del _Codice a prefisso_, che dice che **nessun codice deve essere il prefisso di un altro codice**; altrimenti, si avrebbero ambiguità nella decodifica.\n \n > a = `1`\n > b = `11`\n >\n > `111` è `ab`, `ba` oppure `aaa`?\n \n Creiamo allora un _albero di decodifica_: un **albero binario** che, leggendo uno ad uno i bit codificati, ci permette di arrivare al **valore del codice presente sulle foglie** dell'albero.\n \n Gli alberi di decodifica sono sempre **completi**.\n \n > Un albero di decodifica incompleto sarebbe non ottimizzato!\n \n #### Esempi\n \n - .png\n - .flac\n - .zip\n - ...\n \n ### Compressione lossy\n \n Nella _compressione lossy_, alcuni dati [solitamente](http://needsmorejpeg.com/) irrilevanti vengono perduti: non si può, dunque, ricostruire l'originale.\n \n #### Esempi\n \n - .jpeg\n - .mp3\n - ...\n ")),n(t.a,null,n(a.a,null,"\n # Algoritmo di Huffman\n\n L'_Algoritmo di Huffman_ è un **algoritmo greedy** per la **costruzione di un albero di decodifica**.\n \n ## Funzionamento\n \n 1. Costruisco **un albero** (con un solo nodo) **per ogni elemento dell'alfabeto**.\n 2. Associo ad **ogni albero la frequenza dell'elemento** da cui è stato creato, per poi inserire tutti gli elementi in una coda con priorità.\n 3. Finchè non ho **un albero solo**:\n 1. Estraggo dalla coda i **due alberi con frequenza minore**.\n 2. **Li rendo fratelli**, creando un nuovo nodo in cui sono uno figlio destro e uno figlio sinistro.\n 3. Associo al nuovo nodo la **somma delle frequenze dei due alberi**, e inserisco il nuovo albero nella coda.\n \n > È molto raro che venga un albero \"dritto\"; se succede, probabilmente c'è qualcosa che non va.\n ")),n(t.a,null,n(a.a,null,"\n # Dizionario\n \n Un _dizionario_ è una struttura dati che **associa dei valori a delle chiavi**.\n \n ## Proprietà\n \n - Ogni elemento del dizionario è un **valore** che è stato **associato a una chiave**.\n - Possiamo aggiungere nuovi elementi con il **metodo `add(chiave, valore)`**.\n - Posiamo estrarre elementi con il **metodo `get(chiave)`**, che restituirà il valore associato a `chiave`.\n - E' possibile rimuovere elementi con il **metodo `delete(chiave)`**.\n - Due elementi con **chiavi diverse** non devono **mai restituire lo stesso valore**.\n \n ## Metodi\n \n Beh... Non ha molto senso in questo caso...\n \n ```python\n dict()\n ```\n \n ## Implementazione con tabella hash\n \n Una _tabella hash_ è un'array di coppie **chiave-valore**, che formano l'insieme _universo_.\n \n Per determinare l'**indice dell'array** in cui inserire una coppia, usiamo una [funzione _hash_](https://it.wikipedia.org/wiki/Hash#Algoritmo_di_hash) sulla chiave, che restituirà **numeri da `0` a `len(hash_table)`**.\n \n ### Risoluzione collisioni\n \n Potrebbe capitare però che **due chiavi diverse abbiano lo stesso indice**. Dobbiamo allora usare un metodo di _risoluzione collisioni_, che mi permetta di distinguere tra chiavi diverse.\n \n #### Lista di trabocco\n \n Possiamo salvare nell'array **liste di coppie** chiave-valore; in caso di collisione, **aggiungo un nuovo elemento alla lista**.\n \n In media, ciascuna di queste liste conterrà `elementi_inseriti / dimensione_tabella` elementi.\n \n #### Indirizzamento aperto\n \n Possiamo decidere di mettere le coppie che non trovano posto nel loro indice in **un altro indirizzo vuoto** dell'array.\n \n Ci sono diversi modi in cui decidere il nuovo indirizzo, ognuno con vantaggi e svantaggi: si può scegliere quello successivo, oppure il primo vuoto dell'array, oppure un indirizzo casuale.\n \n > Python, nei `dict`, usa indirizzamento aperto pseudorandom.\n \n ### Costo computazionale\n \n - Aggiungere una chiave: `O(n)`\n - Trovare una chiave: `O(n)`\n - Eliminare una chiave: `O(n)`\n ")),n(t.a,null,n(a.a,null,"\n # Programmazione dinamica\n \n La _programmazione dinamica_ è una **tecnica** di programmazione che prevede l'**estensione di una soluzione ottima precedente**.\n \n Tutti i problemi in cui si può applicare si possono risolvere anche con la **ricorsione**, ma a differenza della ricorsione, questa tecnica riesce ad evitare di ricalcolare la soluzione per ogni chiamata ricorsiva, ottenendo quindi tempi molto migliori.\n \n Si può applicare solo se un problema ha una **sottostruttura ottimale**, ovvero se la soluzione ottima di un sottoproblema è inclusa nella soluzione ottima del problema. \n \n ## Esempi\n \n - _Problema dello zaino_\n - ...\n \n > Il cammino minimo per raggiungere un nodo in un DAG è dato da `arco.costo + arco.primo_nodo.costo_cammino_minimo()`.\n >\n > ```python\n > def SPD_PD(graph, start):\n > distance = [float(inf) for node in graph.nodes]:\n > distance[start] = 0\n > # I nodi devono essere in ordine di linearizzazione\n > for node in graph.nodes:\n > distance[node] = min([(arc.cost + distance[arc.other(node)] for arc in node.connections])\n > ```\n \n > Ho una sequenza di interi da `a_1` a `a_n`. Voglio trovare la sottosequenza crescente più lunga.\n >\n > 5 2 3 4 7 3 6 3 1 6\n >\n > Trovo tutte le sequenze lunghe 1, e le rendo nodi di un grafo diretto.\n >\n > Da ogni nodo, creo una connessione verso i suoi maggiori.\n >\n > Infine, cerco i cammini massimi del grafo. \n > \n > Essi saranno la soluzione del problema.\n \n > Trova la lunghezza della sottosequenza più lunga che termina con `j`.\n >\n > `L[j]` = lunghezza della sottosequenza più lunga che termina in `j`\n > \n > ```python\n > L[j] = max([1 + L[node] for arc in node.connections)]\n > ```\n >\n > Esempio:\n > ```python\n > L[9] = max([1+L[8], 1+L[3], 1+L[6]])\n > ```\n ")),n(t.a,null,n(a.a,null,"\n # Problema dello zaino\n \n Il problema dello zaino è un problema _pseudo-trattabile_: non abbiamo dimostrazioni di se sia trattabile o intrattabile.\n \n ## Descrizione\n \n > Sei un ladro, e devi mettere **più refurtiva possibile** nello zaino per scappare. \n > Lo zaino può portare **al massimo `dim` kili**.\n >\n > **Quali** (e quanti) oggetti scegli?\n \n | Input | Output |\n |-------|--------|\n | `dim`ensione_zaino, `n`umero_oggetti, `oggetto.peso`, `oggetto.valore` | `profitto_massimo` |\n \n ## Categorie\n \n ### Problema con ripetizione\n \n Puoi prendere **tutte le copie che vuoi** di un oggetto.\n \n #### Soluzione\n \n `K(dim)` è il valore massimo ottenibile con uno zaino di capacità `dim`.\n \n > Se `i` appartenesse alla soluzione ottima, allora `K(dim) = i.valore + K(dim - i.peso)`...\n \n Possiamo dire che `K(dim) = max(i.valore + K(dim - i.peso))`.\n \n Inoltre, `K(0) = 0`.\n \n Ci salviamo tutte le soluzioni da `K(0)` a `K(dim)`, e le usiamo per calcolare il massimo in seguito.\n \n Calcolare `K(dim)` avrà allora un costo di `O(n * dim)`:\n - `n`, perchè trovare il massimo è un'operazione lineare\n - `dim`, perchè `dim` sono tutti i casi tra i quali devo andare a provare\n \n Il costo computazionale, allora, è in `O(n * dim)`. \n \n Però, il **tempo richiesto** dal nostro algoritmo dipende non dalla lunghezza dell'input, bensì dal **valore numerico** di `dim`, che corrisponde alla dimensione dell'array delle soluzioni. \n Allora, si dice che l'algoritmo è in **tempo _pseudo-polinomiale_**.\n \n ### Problema senza ripetizione\n \n Si può prendere **ogni oggetto una volta sola**.\n \n #### Soluzione _bruteforce_\n \n Scelgo se prendere o no l'item 1.\n \n Si creano due percorsi:\n - Non prendo l'oggetto: `valore = 0, peso = 0`\n - Prendo l'oggetto: `valore = oggetto.valore, peso = oggetto.peso`\n \n Continuo a creare percorsi, creando una specie di albero binario.\n \n Se a un certo punto vedo che `valore = x, peso = K` e `valore < x, peso = K`, allora posso escludere automaticamente tutto il sottoalbero destro, perchè non può essere migliore del sinistro: allora, sarò riuscito a ridurre il numero dei casi rispetto alla ricorsione.\n \n ### Problema in due variabili\n \n `K(j, w)` = massimo valore ottenibile con uno zaino di capacità `w` scegliendo gli item da `1` a `j`.\n \n Non possiamo più applicare la soluzione bruteforce, perchè abbiamo due variabili, `j` e `w`.\n \n Allora, prendo l'elemento `j`. Esso può essere o non essere nella soluzione: mi calcolo entrambe le alternative, e mi tengo l'alternativa dal valore più alto.\n \n Se `j` non è nella soluzione, il risultato diventerà `K(j-1, w)`; se invece è nella soluzione, il risultato sarà `j.valore + K(j-1, w-j.peso)`.\n \n In pratica, prendiamo\n \n ```latex\n K(j, w) = max\n \\begin{cases}\n V_j + K(j-1, w-w_j)\n K(j-1, w)\n \\end{cases}\n ```\n \n Costruisco allora una matrice con `j` su un asse e `w` sull'altro. \n Riempio le caselle con il valore di `K(j, w)`. \n Nella casella con `K(j, w)` avremo la soluzione ottima.\n \n Il tempo necessario per riempire tutte le caselle è nuovamente `O(n * w)`, ancora **pseudopolinomiale**.\n \n Per sapere che oggetti ho messo o no devo tenere traccia in qualche modo della catena del calcolo, usando, ad esempio, una pila.\n ")),n(t.a,null,n(a.a,null,"\n # Problemi intrattabili\n \n ## Problema di Set-Cover\n \n ### Input\n \n `U`niverso di `e`lementi\n \n `S`ottoinsieme di `s`ottoinsiemi di elementi di `U`\n \n ### Output\n \n Il minimo `S'`ottoinsieme di `s`ottoinsiemi che copra completamente `U`.\n \n ### Soluzione in `O(n^d)`\n \n Non c'è.\n \n ### Non-soluzione alternativa\n \n Faccio una scelta greedy, ma non posso dimostrare in alcun modo che la soluzione ottenuta sia quella ottima. \n Infatti, l'algoritmo non dà sempre la soluzione ottima, ma dà una soluzione accettabile in tempo polinomiale.\n \n Seleziono sempre il sottoinsieme che copre più elementi mancanti possibili.\n \n #### Costo computazionale\n \n `Costo greedy <= log(numero_elementi) * Costo ottimo`\n ")))}}.call(this,i("hosL").h)},wQ73:function(n,e,i){"use strict";var o=i("hosL");e.a=Object(o.createContext)(!0)},yDBo:function(n,e,i){"use strict";(function(n){var o=i("Q7TX");e.a=function(e){return n(o.b,{inline:!0,display:o.a.INLINE},e.children)}}).call(this,i("hosL").h)}}]); +//# sourceMappingURL=route-AlgoritmiEStruttureDati.chunk.7aed5.js.map \ No newline at end of file diff --git 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{\n\tif (oldBeforeRender) oldBeforeRender(vnode);\n\n\tcurrentComponent = vnode._component;\n\tcurrentIndex = 0;\n\n\tconst hooks = currentComponent.__hooks;\n\tif (hooks) {\n\t\thooks._pendingEffects.forEach(invokeCleanup);\n\t\thooks._pendingEffects.forEach(invokeEffect);\n\t\thooks._pendingEffects = [];\n\t}\n};\n\noptions.diffed = vnode => {\n\tif (oldAfterDiff) oldAfterDiff(vnode);\n\n\tconst c = vnode._component;\n\tif (c && c.__hooks && c.__hooks._pendingEffects.length) {\n\t\tafterPaint(afterPaintEffects.push(c));\n\t}\n};\n\noptions._commit = (vnode, commitQueue) => {\n\tcommitQueue.some(component => {\n\t\ttry {\n\t\t\tcomponent._renderCallbacks.forEach(invokeCleanup);\n\t\t\tcomponent._renderCallbacks = component._renderCallbacks.filter(cb =>\n\t\t\t\tcb._value ? invokeEffect(cb) : true\n\t\t\t);\n\t\t} catch (e) {\n\t\t\tcommitQueue.some(c => {\n\t\t\t\tif (c._renderCallbacks) c._renderCallbacks = [];\n\t\t\t});\n\t\t\tcommitQueue = [];\n\t\t\toptions._catchError(e, component._vnode);\n\t\t}\n\t});\n\n\tif (oldCommit) oldCommit(vnode, commitQueue);\n};\n\noptions.unmount = vnode => {\n\tif (oldBeforeUnmount) oldBeforeUnmount(vnode);\n\n\tconst c = vnode._component;\n\tif (c && c.__hooks) {\n\t\ttry {\n\t\t\tc.__hooks._list.forEach(invokeCleanup);\n\t\t} catch (e) {\n\t\t\toptions._catchError(e, c._vnode);\n\t\t}\n\t}\n};\n\n/**\n * Get a hook's state from the currentComponent\n * @param {number} index The index of the hook to get\n * @param {number} type The index of the hook to get\n * @returns {import('./internal').HookState}\n */\nfunction getHookState(index, type) {\n\tif (options._hook) {\n\t\toptions._hook(currentComponent, index, currentHook || type);\n\t}\n\tcurrentHook = 0;\n\n\t// Largely inspired by:\n\t// * https://github.com/michael-klein/funcy.js/blob/f6be73468e6ec46b0ff5aa3cc4c9baf72a29025a/src/hooks/core_hooks.mjs\n\t// * https://github.com/michael-klein/funcy.js/blob/650beaa58c43c33a74820a3c98b3c7079cf2e333/src/renderer.mjs\n\t// Other implementations to look at:\n\t// * https://codesandbox.io/s/mnox05qp8\n\tconst hooks =\n\t\tcurrentComponent.__hooks ||\n\t\t(currentComponent.__hooks = {\n\t\t\t_list: [],\n\t\t\t_pendingEffects: []\n\t\t});\n\n\tif (index >= hooks._list.length) {\n\t\thooks._list.push({});\n\t}\n\treturn hooks._list[index];\n}\n\n/**\n * @param {import('./index').StateUpdater} initialState\n */\nexport function useState(initialState) {\n\tcurrentHook = 1;\n\treturn useReducer(invokeOrReturn, initialState);\n}\n\n/**\n * @param {import('./index').Reducer} reducer\n * @param {import('./index').StateUpdater} initialState\n * @param {(initialState: any) => void} [init]\n * @returns {[ any, (state: any) => void ]}\n */\nexport function useReducer(reducer, initialState, init) {\n\t/** @type {import('./internal').ReducerHookState} */\n\tconst hookState = getHookState(currentIndex++, 2);\n\thookState._reducer = reducer;\n\tif (!hookState._component) {\n\t\thookState._component = currentComponent;\n\n\t\thookState._value = [\n\t\t\t!init ? invokeOrReturn(undefined, initialState) : init(initialState),\n\n\t\t\taction => {\n\t\t\t\tconst nextValue = hookState._reducer(hookState._value[0], action);\n\t\t\t\tif (hookState._value[0] !== nextValue) {\n\t\t\t\t\thookState._value[0] = nextValue;\n\t\t\t\t\thookState._component.setState({});\n\t\t\t\t}\n\t\t\t}\n\t\t];\n\t}\n\n\treturn hookState._value;\n}\n\n/**\n * @param {import('./internal').Effect} callback\n * @param {any[]} args\n */\nexport function useEffect(callback, args) {\n\t/** @type {import('./internal').EffectHookState} */\n\tconst state = getHookState(currentIndex++, 3);\n\tif (!options._skipEffects && argsChanged(state._args, args)) {\n\t\tstate._value = callback;\n\t\tstate._args = args;\n\n\t\tcurrentComponent.__hooks._pendingEffects.push(state);\n\t}\n}\n\n/**\n * @param {import('./internal').Effect} callback\n * @param {any[]} args\n */\nexport function useLayoutEffect(callback, args) {\n\t/** @type {import('./internal').EffectHookState} */\n\tconst state = getHookState(currentIndex++, 4);\n\tif (!options._skipEffects && argsChanged(state._args, args)) {\n\t\tstate._value = callback;\n\t\tstate._args = args;\n\n\t\tcurrentComponent._renderCallbacks.push(state);\n\t}\n}\n\nexport function useRef(initialValue) {\n\tcurrentHook = 5;\n\treturn useMemo(() => ({ current: initialValue }), []);\n}\n\n/**\n * @param {object} ref\n * @param {() => object} createHandle\n * @param {any[]} args\n */\nexport function useImperativeHandle(ref, createHandle, args) {\n\tcurrentHook = 6;\n\tuseLayoutEffect(\n\t\t() => {\n\t\t\tif (typeof ref == 'function') ref(createHandle());\n\t\t\telse if (ref) ref.current = createHandle();\n\t\t},\n\t\targs == null ? args : args.concat(ref)\n\t);\n}\n\n/**\n * @param {() => any} factory\n * @param {any[]} args\n */\nexport function useMemo(factory, args) {\n\t/** @type {import('./internal').MemoHookState} */\n\tconst state = getHookState(currentIndex++, 7);\n\tif (argsChanged(state._args, args)) {\n\t\tstate._args = args;\n\t\tstate._factory = factory;\n\t\treturn (state._value = factory());\n\t}\n\n\treturn state._value;\n}\n\n/**\n * @param {() => void} callback\n * @param {any[]} args\n */\nexport function useCallback(callback, args) {\n\tcurrentHook = 8;\n\treturn useMemo(() => callback, args);\n}\n\n/**\n * @param {import('./internal').PreactContext} context\n */\nexport function useContext(context) {\n\tconst provider = currentComponent.context[context._id];\n\t// We could skip this call here, but than we'd not call\n\t// `options._hook`. We need to do that in order to make\n\t// the devtools aware of this hook.\n\tconst state = getHookState(currentIndex++, 9);\n\t// The devtools needs access to the context object to\n\t// be able to pull of the default value when no provider\n\t// is present in the tree.\n\tstate._context = context;\n\tif (!provider) return context._defaultValue;\n\t// This is probably not safe to convert to \"!\"\n\tif (state._value == null) {\n\t\tstate._value = true;\n\t\tprovider.sub(currentComponent);\n\t}\n\treturn provider.props.value;\n}\n\n/**\n * Display a custom label for a custom hook for the devtools panel\n * @type {(value: T, cb?: (value: T) => string | number) => void}\n */\nexport function useDebugValue(value, formatter) {\n\tif (options.useDebugValue) {\n\t\toptions.useDebugValue(formatter ? formatter(value) : value);\n\t}\n}\n\nexport function useErrorBoundary(cb) {\n\tconst state = getHookState(currentIndex++, 10);\n\tconst errState = useState();\n\tstate._value = cb;\n\tif (!currentComponent.componentDidCatch) {\n\t\tcurrentComponent.componentDidCatch = err => {\n\t\t\tif (state._value) state._value(err);\n\t\t\terrState[1](err);\n\t\t};\n\t}\n\treturn [\n\t\terrState[0],\n\t\t() => {\n\t\t\terrState[1](undefined);\n\t\t}\n\t];\n}\n\n/**\n * After paint effects consumer.\n */\nfunction flushAfterPaintEffects() {\n\tafterPaintEffects.some(component => {\n\t\tif (component._parentDom) {\n\t\t\ttry {\n\t\t\t\tcomponent.__hooks._pendingEffects.forEach(invokeCleanup);\n\t\t\t\tcomponent.__hooks._pendingEffects.forEach(invokeEffect);\n\t\t\t\tcomponent.__hooks._pendingEffects = [];\n\t\t\t} catch (e) {\n\t\t\t\tcomponent.__hooks._pendingEffects = [];\n\t\t\t\toptions._catchError(e, component._vnode);\n\t\t\t\treturn true;\n\t\t\t}\n\t\t}\n\t});\n\tafterPaintEffects = [];\n}\n\n/**\n * Schedule a callback to be invoked after the browser has a chance to paint a new frame.\n * Do this by combining requestAnimationFrame (rAF) + setTimeout to invoke a callback after\n * the next browser frame.\n *\n * Also, schedule a timeout in parallel to the the rAF to ensure the callback is invoked\n * even if RAF doesn't fire (for example if the browser tab is not visible)\n *\n * @param {() => void} callback\n */\nfunction afterNextFrame(callback) {\n\tconst done = () => {\n\t\tclearTimeout(timeout);\n\t\tcancelAnimationFrame(raf);\n\t\tsetTimeout(callback);\n\t};\n\tconst timeout = setTimeout(done, RAF_TIMEOUT);\n\n\tlet raf;\n\tif (typeof window != 'undefined') {\n\t\traf = requestAnimationFrame(done);\n\t}\n}\n\n// Note: if someone used options.debounceRendering = requestAnimationFrame,\n// then effects will ALWAYS run on the NEXT frame instead of the current one, incurring a ~16ms delay.\n// Perhaps this is not such a big deal.\n/**\n * Schedule afterPaintEffects flush after the browser paints\n * @param {number} newQueueLength\n */\nfunction afterPaint(newQueueLength) {\n\tif (newQueueLength === 1 || prevRaf !== options.requestAnimationFrame) {\n\t\tprevRaf = options.requestAnimationFrame;\n\t\t(prevRaf || afterNextFrame)(flushAfterPaintEffects);\n\t}\n}\n\n/**\n * @param {import('./internal').EffectHookState} hook\n */\nfunction invokeCleanup(hook) {\n\tif (typeof hook._cleanup == 'function') hook._cleanup();\n}\n\n/**\n * Invoke a Hook's effect\n * @param {import('./internal').EffectHookState} hook\n */\nfunction invokeEffect(hook) {\n\thook._cleanup = hook._value();\n}\n\n/**\n * @param {any[]} oldArgs\n * @param {any[]} newArgs\n */\nfunction argsChanged(oldArgs, newArgs) {\n\treturn !oldArgs || newArgs.some((arg, index) => arg !== oldArgs[index]);\n}\n\nfunction invokeOrReturn(arg, f) {\n\treturn typeof f == 'function' ? f(arg) : f;\n}\n","'use strict';\n\nObject.defineProperty(exports, \"__esModule\", {\n\tvalue: true\n});\nexports.Link = exports.Match = undefined;\n\nvar _extends = Object.assign || function (target) { for (var i = 1; i < arguments.length; i++) { var source = arguments[i]; for (var key in source) { if (Object.prototype.hasOwnProperty.call(source, key)) { target[key] = source[key]; } } } return target; };\n\nvar _preact = require('preact');\n\nvar _preactRouter = require('preact-router');\n\nfunction _objectWithoutProperties(obj, keys) { var target = {}; for (var i in obj) { if (keys.indexOf(i) >= 0) continue; if (!Object.prototype.hasOwnProperty.call(obj, i)) continue; target[i] = obj[i]; } return target; }\n\nfunction _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError(\"Cannot call a class as a function\"); } }\n\nfunction _possibleConstructorReturn(self, call) { if (!self) { throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\"); } return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self; }\n\nfunction _inherits(subClass, superClass) { if (typeof superClass !== \"function\" && superClass !== null) { throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass); } subClass.prototype = Object.create(superClass && superClass.prototype, { constructor: { value: subClass, enumerable: false, writable: true, configurable: true } }); if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass; }\n\nvar Match = exports.Match = function (_Component) {\n\t_inherits(Match, _Component);\n\n\tfunction Match() {\n\t\tvar _temp, _this, _ret;\n\n\t\t_classCallCheck(this, Match);\n\n\t\tfor (var _len = arguments.length, args = Array(_len), _key = 0; _key < _len; _key++) {\n\t\t\targs[_key] = arguments[_key];\n\t\t}\n\n\t\treturn _ret = (_temp = (_this = _possibleConstructorReturn(this, _Component.call.apply(_Component, [this].concat(args))), _this), _this.update = function (url) {\n\t\t\t_this.nextUrl = url;\n\t\t\t_this.setState({});\n\t\t}, _temp), _possibleConstructorReturn(_this, _ret);\n\t}\n\n\tMatch.prototype.componentDidMount = function componentDidMount() {\n\t\t_preactRouter.subscribers.push(this.update);\n\t};\n\n\tMatch.prototype.componentWillUnmount = function componentWillUnmount() {\n\t\t_preactRouter.subscribers.splice(_preactRouter.subscribers.indexOf(this.update) >>> 0, 1);\n\t};\n\n\tMatch.prototype.render = function render(props) {\n\t\tvar url = this.nextUrl || (0, _preactRouter.getCurrentUrl)(),\n\t\t path = url.replace(/\\?.+$/, '');\n\t\tthis.nextUrl = null;\n\t\treturn props.children({\n\t\t\turl: url,\n\t\t\tpath: path,\n\t\t\tmatches: (0, _preactRouter.exec)(path, props.path, {}) !== false\n\t\t});\n\t};\n\n\treturn Match;\n}(_preact.Component);\n\nvar Link = function Link(_ref) {\n\tvar activeClassName = _ref.activeClassName,\n\t path = _ref.path,\n\t props = _objectWithoutProperties(_ref, ['activeClassName', 'path']);\n\n\treturn (0, _preact.h)(\n\t\tMatch,\n\t\t{ path: path || props.href },\n\t\tfunction (_ref2) {\n\t\t\tvar matches = _ref2.matches;\n\t\t\treturn (0, _preact.h)(_preactRouter.Link, _extends({}, props, { 'class': [props.class || props.className, matches && activeClassName].filter(Boolean).join(' ') }));\n\t\t}\n\t);\n};\n\nexports.Link = Link;\nexports.default = Match;\n\nMatch.Link = Link;\n","import Markdown from \"../components/Rendering/Markdown\";\nimport Panel from \"../components/Elements/Panel\";\nimport Match from \"preact-router/match\";\nimport ILatex from \"../components/Rendering/ILatex\";\n\nconst r = String.raw;\n\nexport default function (props) {\n return (\n
\n \n aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa tutte le formule in latex si sono rotteeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee\n \n \n {r`\n # Algoritmi e Strutture Dati\n\n Docente: [**Manuela Montangero**](mailto:manuela.montangero@unimore.it)\n\n Crediti: **9 CFU** (72 ore di lezione)\n\n Orario di ricevimento: **Giovedì dalle 14:30 alle 16:30**\n _Mandare una mail prima, altrimenti potrebbe andarsene_\n\n\n #### Regole particolari per le email\n\n - Oggetto \"ASD\"\n - Mail **firmata** con **nome e cognome**\n - Mail spedita dall'**account Unimore**\n\n ### Materiale\n\n Libri:\n - **Introduzione agli Algoritmi e Strutture Dati** di _T.H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein_\n\n **[Dolly (FIM)](https://dolly.fim.unimore.it/2018/course/view.php?id=26)**\n\n ### Tutorato\n\n Tutor: [**Gianluca d'Addese**](mailto:tutoratoalgoritmi@gmail.com)\n\n Cosa: **Esercizi sugli argomenti visti a lezione** e **preparatori all'esame**\n\n Quando: **Mercoledì dalle 09:00 alle 11:00**...?\n\n ### Esame\n\n Per iscriversi all'esame, bisogna aver passato:\n\n - Analisi matematica (propedeutica)\n - Programmazione I\n\n Formato:\n\n - Prima prova scritta\n - Risolvere problemi con algoritmi proposti a lezione\n - E' un test sulla preparazione\n - Dura 1h30m\n - Non si può usare nessun tipo di materiale\n - Seconda prova scritta\n - Proponi soluzioni per nuovi problemi non studiati a lezione\n - Domande teoriche sugli argomenti studiati\n - Dura 2h\n - E' il giorno dopo la prima prova\n - Si può utilizzare qualsiasi materiale, ma non deve permettere di comunicare\n - Orale facoltativo\n - Solo per chi supera entrambi gli scritti\n - Domande su quello che abbiamo visto a lezione (\"perchè gli algoritmi funzionano?\")\n - Informare via email entro 3 giorni dalla pubblicazione degli esiti della seconda prova\n - L'orale potrebbe migliorare o peggiorare il voto (anche \"molto\")\n\n **Attenzione:** Vengono verbalizzati anche i voti insufficienti; ricordarsi di rifiutarli!\n\n Ci sono i seguenti appelli:\n\n - 3 appelli tra Giugno e Luglio\n - 1 appello a Settembre\n - 2 appelli a Gennaio e Febbraio\n\n Vale il salto di appello se:\n\n - Uno studente regolarmente iscritto **non si presenta** all'appello e non ha avvisato via email almeno il giorno prima.\n - Uno studente ha riportato una **grave insufficienza** in uno dei due scritti, e l'appello successivo è nella stessa sessione\n\n\n ### Note\n\n Il corso è ben collegato con quello di Programmazione 2.\n\n Dormire non fa bene!\n `}\n \n \n {`\n # Il nome del corso\n\n ## Cosa sono gli algoritmi?\n\n Gli algoritmi sono modi sistematici per risolvere problemi.\n\n Sono fondamentali per sviluppare software, in quanto i computer sono eccellenti esecutori di algoritmi.\n\n ## Come si sviluppa un algoritmo?\n\n Innanzitutto, bisogna conoscere gli _input_ e gli _output_ del problema, rispettivamente i dati di partenza e i dati di arrivo di esso; si ha quindi una fase di **ricerca**.\n\n Poi, si deve trovare un procedimento che ci faccia risolvere il nostro problema: è quello che faremo in questa materia!\n\n Infine, bisogna scrivere la soluzione in un modo che possa essere eseguita da un computer: questa è la **programmazione**.\n\n ## Che tipo di problemi possiamo risolvere?\n\n Un algoritmo risolve problemi di tipo generale, non ci interessa sapere _il risultato di 123+456_, ma vogliamo sapere _il risultato di x+y_, dove x e y sono due numeri naturali qualsiasi.\n\n Un problema può essere quindi considerato circa come una **funzione matematica**, che connette ogni input a un output corrispondente.\n\n ## Che caratteristiche ha un algoritmo?\n\n Per prima cosa, ripetendo l'algoritmo più volte con lo stesso ingresso deve dare sempre la stessa uscita come **risultato**, finendo in un **tempo finito**.\n\n Deve essere **ben ordinato**: cambiando l'ordine in cui vengono effettuate le operazioni, è probabile che anche il risultato cambi!\n\n Le sue istruzioni devono essere **non ambigue**, cioè che non possano essere interpretate in più modi, e **effettivamente realizzabili**, cioè realizzabili con l'esecutore che vogliamo usare per eseguire l'algoritmo.\n\n ## Esistono algoritmi equivalenti?\n\n **Sì!** Possono esserci due algoritmi che dati gli stessi input, hanno gli stessi output, e quindi risolvono lo stesso problema.\n\n In compenso, possono avere un numero di operazioni diverse, e quindi essere **uno più veloce** (da eseguire) dell'altro.\n\n ## Come si verifica la correttezza di un algoritmo?\n\n L'algoritmo deve essere **valido per tutti gli input**, anche se questi sono infiniti.\n\n Possiamo effettuare prove matematiche per verificarne la correttezza; il **principio di induzione** è dunque una dei teoremi fondamentali dell'algoritmica.\n\n Possiamo però verificare la _non correttezza_ di un algoritmo trovando un singolo controesempio.\n `}\n \n \n {`\n # Efficienza degli algoritmi\n \n Un buon algoritmo deve essere **efficiente**, ovvero deve usare il minimo delle risorse necessarie, come _usare il minimo di tempo possibile_.\n \n ## Come misuriamo il tempo necessario?\n \n Cerchiamo di astrarre il tempo dal particolare esecutore, e andiamo a contare il numero di operazioni elementari richieste per eseguire il nostro algoritmo nel caso peggiore.\n \n Un algoritmo efficiente, infatti, all'aumentare dei dati in ingresso, diventerà sempre più veloce rispetto a uno non efficiente, anche su computer più lenti!\n \n > Il [Bubble Sort](https://en.wikipedia.org/wiki/Bubble_sort) è sempre più lento di un [Tree Sort](https://en.wikipedia.org/wiki/Tree_sort), anche su computer più lenti, perchè, dovendo ordinare liste sempre più lunghe, prima o poi si raggiunge un punto in cui il primo è più veloce (in termini di tempo) dell'altro.\n \n Dobbiamo andare a vedere, quindi, _il numero di operazioni richieste per ottenere il risultato nel caso peggiore_.\n \n Consideriamo operazioni sia operazioni aritmetiche sia operazioni logiche, e diciamo che ciascuna costa 1.\n \n > L'[algoritmo di Euclide](https://it.wikipedia.org/wiki/Algoritmo_di_Euclide) per l'MCD costa \\`3\\` per ogni iterazione (un giro del ciclo \\`while\\`). Diciamo, allora, che costa \\`3n\\`, dove \\`n\\` è il numero più alto dei due, perchè nel caso peggiore (uno dei due numeri è 1) l'algoritmo compie \\`n\\` iterazioni.\n \n ## Altri parametri ottimizzabili\n \n È possibile che alcuni algoritmi per vari motivi cerchino di ottimizzare altri parametri diversi dal tempo, come ad esempio _la dimensione dell'input_ o la _memoria utilizzata_. \n \n > Generalmente, questo viene fatto sui dispositivi embedded, con memoria molto limitata.\n \n ### Criteri di costo di memoria\n \n Ci sono vari criteri con cui stimare la memoria richiesta da un dato: è possibile che il costo risultante vari in base al criterio scelto!\n \n #### Criterio di costo logaritmico\n \n Un dato costa il numero di bit necessari per rappresentarlo.\n \n > Un int che contiene il numero \\`n\\` costa \\`log_2(n)\\`. \n > Un array di \\`[n]\\` numeri tutti uguali costa \\`n log_2(n)\\`.\n \n #### Criterio di costo uniforme\n \n Un dato costa il numero di elementi che lo costituiscono.\n \n > Un int che contiene il numero \\`n\\` costa \\`1\\`. \n > Un array di \\`[n]\\` numeri costa \\`n\\`. \n > Una matrice \\`[m][n]\\` costa \\`m*n\\`.\n `}\n \n \n {`\n # Modelli algoritmici\n\n Per progettare un algoritmo, abbiamo bisogno di sapere le proprietà del nostro esecutore, ovvero il suo _modello algoritmico_.\n \n > Ad esempio, dobbiamo sapere quali istruzioni è in grado di eseguire, e quanto tempo queste istruzioni richiedono.\n \n ## Il modello RAM\n \n Il modello in uso su tutti i computer attuali è il _modello RAM_: \n \n - In ogni cella di memoria può essere archiviato un dato.\n - Il **tempo di accesso** alle celle è **costante** per tutte le celle.\n - La **memoria** principale è **infinita**.\n - Si ha **un solo processore**.\n `}\n \n \n {`\n # Notazione asintotica\n \n La _notazione asintotica_ è un sistema per **stimare** velocemente il costo di un algoritmo complesso.\n \n Ci permette di **confrontare velocemente il caso peggiore** degli algoritmi.\n \n In particolare, consideriamo il _rapporto tra il numero di operazioni nel caso peggiore e la dimensione dell'input_.\n \n ## Limiti\n \n Possiamo dare a questa stima dei limiti, superiore e inferiore, che rappresenteranno rispettivamente un costo che non sarà **mai superato** e un costo che verrà **sempre superato**.\n \n Chiameremo questi limiti _upper bound_ e _lower bound_; la loro combinazione darà un _tight bound_.\n \n L'obiettivo sarà di _ricavare i bound più precisi possibile_ per un dato algoritmo, ovvero l'**upper bound più basso** e il **lower bound più alto**.\n \n ### O grande\n \n > \"O grande\" \n > O di g(n)\n > \"big-O\"\n \n Per rappresentare la stima, useremo una notazione particolare, detta _O grande_, con la seguente proprietà:\n - Date due funzioni \\`f(n) : N -> R\\` e \\`g(n) : N -> R\\`, diremo che \\`f(n) ∈ O(g(n))\\` se e soltanto se \\`∃ c > 0, n ≥ n_0\\` tali che \\`∀ n ≥ 0, f(n) ≤ c * g(n)\\`\n \n Quando una funzione è O grande di un altra, significa che **asintoticamente, la funzione in O grande è sempre maggiore di quella che sta venendo stimata**.\n \n > **Ipotesi** \n > - \\`f(n) = 2n² + 3n + 6\\` \n > - \\`g(n) = n²\\`\n >\n > **Tesi** \n > - \\`f(n) ∈ O(n²)\\`.\n >\n > **Svolgimento** \n > Scrivo una disequazione, lasciando intatto il termine noto: \n > 1. \\`2n² + 3n + 6 ≤ 2n² + 3n² + 6\\` \n > 2. \\`n² ≤ 2n² + 3n² + n² = 6n²\\` per \\`n ≥ 3\\`\n >\n > Sappiamo, allora, che \\`2n² + 3n + 6 ≤ 6n²\\`.\n \n #### Espressioni di O grande\n \n Questa tabella rappresenta le espressioni di O grande più comunemente utilizzate, in ordine **dalla più forte alla più debole**.\n \n > Più forte significa che, per ogni riga della tabella, tutte le righe sottostanti sono contenute nell'espressione.\n >\n > Ad esempio, \\`O(n) ∈ O(1)\\`.\n \n | Espressione O() | Nome |\n |-----------------|------|\n | \\`O(1)\\` | Costante |\n | \\`O(log log n)\\` | loglog |\n | \\`O(log n)\\` | Logaritmica |\n | \\`Ω(n^{1/c})\\` (per c ≥ 1) | Sublineare |\n | \\`O(n)\\` | Lineare |\n | \\`O(n log n)\\` | nlogn |\n | \\`O(n²)\\` | Quadratica |\n | \\`O(n³)\\` | Cubica |\n | \\`O(n^k)\\` (per k ≥ 1) | Polinomiale |\n | \\`O(a^n)\\` (per a ≥ 1) | Esponenziale |\n | \\`O(n!)\\` | Fattoriale |\n \n #### Polinomiale\n \n Molto spesso, noteremo che il tempo richiesto da una funzione è O grande di un polinomio di grado K, ovvero \\`f(n) ∈ O(n^k)\\`.\n \n Notiamo che in questi casi, possiamo semplificare l'O grande al grado massimo del polinomio.\n \n > Ad esempio, \\`O(n² + n + 1) = O(n²)\\`.\n \n ##### Dimostrazione\n \n Per \\`n > 0 \\\\and 0 ≤ i ≤ k\\`: \n ![LaTeX](https://latex.codecogs.com/png.latex?a_k%20n^k%20+%20a_{k-1}%20n^{k-1}%20+%20%E2%80%A6%20+%20a_1%20n%20+%20a_0%20%E2%89%A4%20|a_k|%20n^k%20+%20|a_{k-1}|%20n^k%20+%20%E2%80%A6%20+%20|a_1|%20n^k%20+%20|a_0|%20n^k%20=%20(|a_k|%20+%20|a_{k-1}|%20+%20%E2%80%A6%20+%20|a_1|%20+%20|a_0|)%20n^k)\n \n #### Proprietà di O grande\n \n 1. \\`f(n) ∈ O(g(n)) -> ∀ a > 0, a * f(n) ∈ O(g(n))\\`.\n 2. \\`f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) + d(n) ∈ O(g(n) + h(n)) -> O(max\\\\{g(n), h(n)\\\\})\\`\n 3. \\`f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) * d(n) ∈ O(g(n) * h(n))\\`\n \n In pratica, se una funzione è la _somma di più termini_, basta guardare l'**\\`O()\\` più grande** tra tutti i suoi termini; se invece una funzione è un _prodotto di più termini_, si possono **omettere le costanti**, e l'\\`O()\\` finale sarà dato dal **prodotto degli \\`O()\\`** dei termini.\n \n ## Lower bound\n \n Possiamo anche stimare il _lower bound_, il limite inferiore: il **numero minimo di operazioni** che viene effettuato **nel caso migliore** con la **massima dimensione dell'ingresso**.\n \n ### Ω()\n \n > \"Omega\" \n > Omega di g(n)\n > \"big-Omega\"\n \n Esiste un equivalente di O grande per il lower bound: è detto _Omega grande_, o più semplicemente _Omega_, e funziona nello stesso identico modo, solo... al contrario.\n \n Diremo che \\`f(n) ∈ Ω(g(n))\\` se e solo se \\`∃ c > 0, n_0 ≥ 0 : ∀ n ≥ n_0 f(n) ≥ c * g(n)\\`.\n \n #### Espressioni di Ω()\n \n Anche in questa tabella le espressioni sono **dalla più forte alla più debole**.\n \n | Espressione Ω() | Nome |\n |-----------------|------|\n | \\`Ω(n!)\\` | Fattoriale |\n | \\`Ω(a^n)\\` (per a ≥ 1) | Esponenziale |\n | \\`Ω(n^k)\\` (per k ≥ 1) | Polinomiale |\n | \\`Ω(n³)\\` | Cubica |\n | \\`Ω(n²)\\` | Quadratica |\n | \\`Ω(n log n)\\` | nlogn |\n | \\`Ω(n)\\` | Lineare |\n | \\`Ω(n^{1/c})\\` (per c ≥ 1) | Sublineare |\n | \\`Ω(log n)\\` | Logaritmica |\n | \\`Ω(log log n)\\` | loglog |\n | \\`Ω(1)\\` | Costante |\n \n ## Tight bound\n \n Quando **upper e lower bound coincidono**, allora otteniamo un _tight bound_.\n \n ### θ()\n \n > \"Theta\" \n > Theta di g(n)\n > \"big-Theta\"\n \n Anche per il tight bound abbiamo una notazione equivalente a O grande e Omega grande: _Theta grande_!\n \n Diciamo che \\`f(n) ∈ θ(g(n))\\` se e solo se \\`∃ c_1, c_2 > 0, n_0 ≥ 0 : ∀ n ≥ n_0, c_1 * g(n) ≤ f(n) ≤ c_2 * g(n)\\`.\n \n Ha la particolarità che non valgono tutte le proprietà degli altri due: va usata quindi con cautela!\n \n ## Risorse utili\n \n [khanacademy.org](https://www.khanacademy.org/computing/computer-science/algorithms/asymptotic-notation/a/big-big-theta-notation)\n `}\n \n \n {`\n # Problemi algoritmici\n \n Un _problema algoritmico_ è un problema matematico che si vuole provare a risolvere con un algoritmo.\n \n > Dati 10 numeri, voglio sapere se sono in ordine crescente oppure no.\n \n ## Caterigorizzazione\n \n I problemi algoritmici si dividono in tre categorie: problemi _trattabili_, problemi _intrattabili_ e problemi _irrisolvibili_.\n \n ### Problema trattabile\n \n Perchè un problema algoritmico sia _trattabile_, deve avere **almeno un algoritmo con upper bound polinomiale**.\n \n > Questo significa che il tempo impiegato da un computer per risolvere il problema rimane ragionevole, e che quindi può essere utilizzato in maniera efficiente.\n \n La trattabilità è un campo ancora parecchio aperto: esistono anche tanti problemi di cui non si è ancora dimostrata la trattabilità o intrattabilità.\n \n > La [fattorizzazione](https://it.wikipedia.org/wiki/Fattorizzazione) è uno di questi problemi: l'assenza di una dimostrazione è ciò che la rende uno dei pilastri della sicurezza informatica moderna.\n \n ### Problema intrattabile\n \n Se **un problema non ha nessun algoritmo con upper bound polinomiale**, allora si dice che è **intrattabile**.\n \n ### Problema irrisolvibile\n \n Se **non esistono algoritmi per risolvere un problema**, allora questo si dice **irrisolvibile**.\n \n > [Dato un algoritmo con certi input, riusciamo a capire con un algoritmo se la sua esecuzione termina o no?](https://en.wikipedia.org/wiki/Halting_problem)\n \n ### Upper e lower bound di problemi\n \n Si può anche trovare un _upper bound_ e un _lower bound_ per un problema, ma bisogna generalizzare di più.\n \n L'**upper bound di un problema** è il minimo upper bound di tutti gli algoritmi che lo risolvono; deve esistere almeno un algoritmo che lo risolva che abbia lo stesso _upper bound_. E' praticamente il tempo migliore per risolvere il problema dato.\n \n Il **lower bound di un problema** è il minimo lower bound di tutti gli algoritmi che lo risolvono; non deve esistere nemmeno un algoritmo che abbia un lower bound migliore. E' il numero assolutamente minimo di operazioni richieste, non si può fare meglio di così.\n \n In particolare, abbiamo che l'_upper bound di un algoritmo_ -> l'_upper bound del suo problema_, \n e il _lower bound di un problema_ -> il _lower bound di un suo algoritmo_.\n \n Generalmente, il _lower bound di un problema_ è una rappresentazione abbastanza accurata della sua difficoltà.\n `}\n \n \n {`\n # Ricerca binaria\n \n Non credo di aver bisogno di studiare la ricerca binaria, quindi non ho preso appunti a riguardo.\n \n Se non siete me, e state cercando informazioni a riguardo, andate a vedere su Wikipedia!\n `}\n \n \n {`\n # Divide et impera\n \n Un modo efficace per risolvere un problema è di usare il metodo _divide et impera (et combina)_.\n \n - _Divide_: Divido il problema in **tanti sottoproblemi**.\n - _Impera_: **Risolvo indipendentemente dal resto** ciascuno dei sottoproblemi.\n - _Combina_: **Combino** i risultati dei sottoproblemi per **risolvere il problema principale**.\n \n ## Ricorsione\n \n Un algoritmo (o funzione) si dice _ricorsivo_ quando durante l'esecuzione **richiama sè stesso**.\n \n Dato che tutti gli algoritmi devono avere termine entro un tempo finito, se scriviamo una funzione ricorsiva è fondamentale finire con un **caso base**, che non chiami ulteriormente la ricorsione.\n \n Se esiste una funzione ricorsiva, allora esiste _sempre_ una _funzione iterativa_ che darà lo stesso risultato.\n \n > Sul pratico, una funzione ricorsiva tipicamente è **più costosa** del suo equivalente iterativo: se possibile, quindi, la ricorsione andrebbe evitata.\n \n #### Pseudocodice di esempio\n \n \\`\\`\\`python\n def fattoriale(n):\n # Caso base; la ricorsione finisce e dà un risultato fisso\n if n <= 1:\n return 1\n # Caso ricorsivo; la funzione restituisce il risultato di sè stessa (ma con parametri diversi)\n else:\n return n * fattoriale(n - 1)\n \\`\\`\\`\n `}\n \n \n {`\n # Master Theorem\n \n Il _Master Theorem_ è uno dei teoremi più importanti dell'algoritmica.\n \n Esso permette di **calcolare l'upper bound di un algoritmo ricorsivo** in modo piuttosto semplice.\n \n ## Ipotesi\n \n Dato un algoritmo:\n - Con uno o più casi base\n - Che richiama la funzione ricorsiva un numero n di volte\n \n ## Tesi\n \n Allora, il suo upper bound avrà la formula:\n \n ![](https://quicklatex.com/cache3/89/ql_08d29a7e55d561a900570bc83b93ff89_l3.png)\n `}\n \n \n {`\n # Caso particolare del Master Theorem\n \n ## Ipotesi\n \n Se: \n ![](https://quicklatex.com/cache3/57/ql_e34dc27b42831d3c3ff671b0f3861257_l3.png)\n \n Ovvero, se la dimensione dell'input viene divisa ad ogni ciclo da una costante b, è polinomiale e il caso base è costante...\n \n ## Tesi\n \n Allora: \n ![](https://quicklatex.com/cache3/ca/ql_26e3557a6ca2d6ac4b8481e7c5263fca_l3.png)\n \n > In pratica, se il costo dominante è quello della parte \"fissa\" dell'algoritmo, esso sarà \\`O(n^d)\\`, mentre se il costo dominante è quello delle chiamate ricorsive, esso sarà \\`O(n^{log_b e})\\`. \n > Se nessuno dei due è dominante... si dividono circa in parti uguali, creando un costo di \\`O(n^d log n)\\`.\n `}\n \n \n {`\n # Ordinamento\n \n Un problema molto frequente nell'informatica consiste nell'**ordinare efficientemente grandi quantità di elementi**.\n \n Esistono [tantissimi](https://it.wikipedia.org/wiki/Algoritmo_di_ordinamento) algoritmi per effettuare l'ordinamento. \n L'**efficienza** di ciascuno **varia** di caso in caso: alcuni sono estremamente efficienti se quasi tutti i numeri sono già nell'ordine giusto; altri, invece, potrebbero impiegare tantissimo tempo.\n \n In termini matematici, abbiamo:\n \n - **Input:** A[n]\n - **Output:** B, ∀ i < n, A[i] ≤ A[i+1]\n \n ## Ordinamento tramite confronto\n \n L'ordinamento \"tradizionale\" è detto _ordinamento tramite confronto_: funziona sempre, e **non ha altri modi di ottenere informazioni** se non con l'operazione logica di confronto tra i dati.\n \n ### Limiti\n \n E' un problema risolto: è dimostrabile che il suo **lower bound** è **\\`Ω(n log n)\\`**; possiamo quindi dire che qualsiasi algoritmo di ordinamento è in \\`Ω(n log n)\\`, e se riusciamo a trovare un algoritmo di ordinamento in \\`O(n log n)\\` siamo riusciti a raggiungere il massimo dell'efficienza.\n \n #### Dimostrazione\n \n Consideriamo **tutte le possibili permutazioni** della sequenza da ordinare: sono \\`n!\\`.\n \n Per ogni confronto che effettuiamo, **riduciamo la quantità di permutazioni** correttamente ordinate; prima o poi, rimarrà **una sola possibilità**.\n \n **TODO, non trovo la spiegazione corretta!**\n \n ### Esempi\n \n Algoritmi che effettuano l'ordinamento tramite confronto sono:\n - _Bubble sort_\n - _Merge sort_\n - _Insertion sort_\n - _Quick sort_\n - _Heap sort_\n - E tanti, tanti altri!\n \n ## Ordinamento con altri mezzi\n \n Esistono algoritmi che ricavano informazioni in altri modi, diversi dal confronto.\n \n Essi possono avere un lower bound più basso di \\`O(n log n)\\`, però hanno spesso limitazioni sul loro utilizzo.\n \n ### Esempi\n \n - _Counting sort_, indicizza i valori da ordinare\n - _Radix sort_, guarda singolarmente le cifre dei valori\n - _Sleep sort_, sfrutta i thread e la funzione sleep per ordinare valori\n - E altri ancora!\n `}\n \n \n {`\n # Insertion sort\n \n L'_insertion sort_ è una soluzione **iterativa** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Considero la sequenza divisa in **due parti**: una parte **ordinata** e una parte **non ordinata**.\n \n Parto dal primo elemento della lista: è sempre ordinato con sè stesso. \n Poi, aggiungo uno alla volta i numeri della parte non ordinata a quella ordinata; prima trovo in quale posizione dovrò andare a mettere il numero, poi **faccio slittare tutti i numeri dopo quella posizione** avanti di 1, in modo da **creare lo spazio** in cui infine **inserirò** il numero.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(n²)\\` | \\`Ω(n)\\` | - |\n \n Nel _caso migliore_ (**lista già ordinata**), il numero da inserire è già nella posizione giusta, quindi non devo effettuare altri confronti oltre il primo, rendendo il lower bound dell'algoritmo \\`Ω(n)\\`.\n \n Nel _caso peggiore_ (**lista nell'ordine inverso**), dobbiamo confrontare il numero da inserire con tutti gli altri nella parte ordinata: dobbiamo allora eseguire \\`1+2+3+4+5+… = \\\\frac{(n-1)(n)}{2}\\` confronti; ciò significa che l'upper bound è \\`O(n²)\\`!\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def insertion_sorted(lista):\n # Itero su tutti i numeri della lista, dal primo all'ultimo.\n for divisore_ord in range(len(lista)):\n # Partendo dalla posizione attuale, creo l'indice di divisione numeri ordinati maggiori e minori\n divisore_magg = divisore_ord\n # Faccio slittare avanti i numeri maggiori di quello che stiamo inserendo\n # Se l'indice divisore_magg raggiunge 0, vuol dire che tutti i numeri della lista sono maggiori del numero attuale \n while divisore_magg >= 0 and lista[divisore_magg-1] > lista[divisore_magg]:\n # Scambio la posizione dei due elementi con gli indici specificati\n # Funzione inventata \n lista[divisore_magg], lista[divisore_magg-1] = lista[divisore_magg-1], lista[divisore_magg]\n # Diminuisco il separatore di 1\n divisore_magg -= 1\n \\`\\`\\`\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting)\n `}\n \n \n {`\n # Merge sort\n \n Il _merge sort_ è una soluzione **ricorsiva** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Per questo algoritmo, utilizziamo la tecnica del **divide et impera**.\n \n 1. _Divide_: Divido A in **due parti**.\n 2. _Impera_: Metto **separatamente in ordine** le parti.\n 3. _Unisci_: **Unisco** le due parti.\n \n Consideriamo come **caso base** della ricorsione una parte composta da un numero, che ovviamente è già ordinata con sè stessa.\n \n ### Merge\n \n Per **unire le due parti** usiamo una funzione detta \\`merge()\\`.\n \n Costruiamo una nuova sequenza uguale alla sequenza 1, ma **aggiungiamo alla fine un valore sentinella** sempre maggiore di tutti gli elementi contenuti.\n \n > \\`\\`\\`\n > | 1 | 3 | 7 | 8 | ∞ |\n > \\`\\`\\`\n \n Facciamo **la stessa cosa** per la sequenza due.\n \n > \\`\\`\\`\n > | 2 | 4 | 5 | 6 | ∞ |\n > \\`\\`\\`\n \n Prendo i primi numeri delle due sequenze e **metto il più piccolo nella sequenza iniziale**.\n \n > \\`\\`\\`\n > | 1 | 2 | 3 | | | | | | \n > | | | 7 | 8 | ∞ | \n > | | 4 | 5 | 6 | ∞ | \n > \\`\\`\\`\n \n **Continuo** finchè non ho messo tutti i numeri; **grazie alla sentinella non usciremo mai dalla sequenza**, in quanto essa è sempre maggiore di tutti gli altri numeri.\n \n > \\`\\`\\`\n > | 1 | 2 | 3 | 4 | 5 | 6 | | | \n > | | | 7 | 8 | ∞ | \n > | | | | | ∞ |\n > \\`\\`\\`\n \n Quando **rimangono solo le sentinelle** significa che abbiamo aggiunto tutti gli elementi, e quindi abbiamo finito.\n \n > \\`\\`\\`\n > | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | \n > | | | | | ∞ | \n > | | | | | ∞ | \n > \\`\\`\\`\n \n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(n log n)\\` | \\`Ω(n log n)\\` | **\\`θ(n log n)\\`** |\n \n Il merge sort è un algoritmo ricorsivo con un **caso base in tempo costante** e che **richiama sè stesso 2 volte**.\n \n \\`\\`\\`latex\n T(n) =\\\\\\\\\n \\\\\\\\\n Θ(1) \\\\qquad n=1\\\\\\\\\n 2 T(\\\\frac{n}{2}) + Θ(n) \\\\qquad n \\\\neq 1\n \\`\\`\\`\n \n Applicando il **caso particolare del Master Theorem**, otteniamo:\n \n \\`\\`\\`latex\n T(n) =\\\\\\\\\n \\\\\\\\\n Θ(1) \\\\qquad n=1\\\\\\\\\n Θ(n log n) \\\\qquad n \\\\neq 1\n \\`\\`\\`\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def merge_sorted(part):\n # Caso base\n if len(part) == 1:\n return part\n # Divide\n middle = len(part) // 2\n part_a = part[:middle]\n part_b = part[middle:]\n # Impera\n sort_a = merge_sorted(part_a)\n sort_b = merge_sorted(part_b)\n # Combina\n return merge(sort_a, sort_b)\n \\`\\`\\`\n \n ## Visualizzazione\n \n [hackerearth.com](https://www.hackerearth.com/practice/algorithms/sorting/merge-sort/visualize/)\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: visualizza solo la fase _Unisci_ del sort)\n `}\n \n \n {`\n # Quick sort\n \n Il _quick sort_ è un altro approccio **ricorsivo** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Anche qui, applichiamo il **divide et impera**.\n \n 1. _Divide_: Scelgo un **pivot** qualsiasi all'interno della lista. Metto alla sua **sinistra tutti i numeri minori** e alla sua **destra tutti i numeri maggiori**.\n 2. _Impera_: Eseguo un **quick sort su entrambe le sottoliste**.\n \n ### Esempi\n \n #### Iterazione con partizioni bilanciate\n \n Osserviamo come si formi una partizione con tre elementi e una con quattro. \n \n \\`\\`\\`\n |¦ [2] 8 7 1 3 5 6 {4}\n 2 |¦ [8] 7 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 7 ¦ [1] 3 5 6 {4}\n 2 1 |7 8 ¦ [3] 5 6 {4}\n 2 1 3 |8 7 ¦ [5] 6 {4}\n 2 1 3 |8 7 5 ¦ [6] {4}\n 2 1 3 |8 7 5 6 ¦ [{4}]\n [2 1 3] {4} [8 5 6 7]\n \\`\\`\\`\n \n #### Iterazione con partizioni sbilanciate\n \n Osserviamo come si formi una partizione con **zero elementi** e una con tre.\n \n \\`\\`\\`\n |¦ [4] 7 3 {1}\n |4 ¦ [7] 3 {1}\n |4 7 |¦ [3] {1}\n |4 7 3 |¦ [{1}]\n [] {1} [4 7 3]\n \\`\\`\\`\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(n²)\\` | \\`Ω(n log n)\\` | - |\n \n Il costo della funzione è dato dalla somma del costo per **dividere in due partizioni** con il costo per realizzare il **Quick sort delle due sottopartizioni**\n \n Possiamo applicare allora il **Master Theorem generale**:\n \n \\`\\`\\`latex\n T(n)\\\\\\\\\n =\\\\\\\\\n Θ(1) \\\\qquad per\\\\ n = 1\\\\\\\\\n T(q) + T(dim_lista - pivot - 1) + Θ(n) \\\\qquad per\\\\ n > 1\n \\`\\`\\`\n \n ### Il caso migliore\n \n Se il pivot \\`q\\` è la **mediana della partizione** che stiamo ordinando, si vengono a creare due _sottopartizioni bilanciate_, e sostituendo otteniamo:\n \n \\`\\`\\`latex\n T(n)\\\\\\\\\n =\\\\\\\\\n Θ(1) \\\\qquad per\\\\ n = 1\\\\\\\\\n 2 T(\\\\frac{n}{2}) + Θ(n) \\\\qquad per\\\\ n > 1\n \\`\\`\\` \n \n Possiamo allora applicare il **Master Theorem particolare**:\n \n \\`\\`\\`latex\n T(n)\\\\\\\\\n =\\\\\\\\\n Θ(1) \\\\qquad per\\\\ n = 1\\\\\\\\\n Θ(n log n) \\\\qquad per\\\\ n > 1\n \\`\\`\\`\n \n ### Il caso peggiore\n \n Se il pivot è uno degli **estremi dell'array**, si creano due _partizioni sbilanciate_: una delle due sottoliste è sempre vuota! \n Allora:\n \n \\`\\`\\`latex\n T(n) = T(n-1) + Θ(n)\\\\\\\\\n = T(n-2) + Θ(n-1) + Θ(n)\\\\\\\\\n = T(n-3) + Θ(n-2) + Θ(n-1) + Θ(n)\\\\\\\\\n = …\n ∈ Θ(n^2)\n \\`\\`\\`\n \n > \"Non date da mangiare sequenze ordinate al Quicksort, gli sono indigeste.\"\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def partition(partizione, inizio, fine):\n \"\"\"Dividi una partizione in due, usando l'ultimo elemento come pivot.\n \n Note utili:\n partizione[fine] è il pivot\n partizione[maggiori] è il primo numero dei maggiori\n partizione[non_iterati] è l'elemento su cui si sta iterando al momento\"\"\"\n # Crea il primo separatore (la | pipe nell'esempio)\n maggiori = inizio\n # Crea il secondo separatore (la ¦ broken pipe nell'esempio)\n non_iterati = inizio\n # Itera su ogni numero tra inizio e fine (escluso!)\n while non_iterati < fine:\n # Se l'elemento su cui stiamo iterando è minore del pivot\n if partizione[non_iterati] <= partizione[fine]:\n # Mettilo nell'insieme dei minori, scambiandolo con il primo numero dei maggiori e incrementando il primo separatore\n partizione[maggiori], partizione[non_iterati] = partizione[non_iterati], partizione[maggiori]\n maggiori += 1\n # Incrementa sempre il secondo separatore\n non_iterati += 1\n # Inserisci il pivot tra le due sottopartizioni create, \n partizione[fine], partizione[non_iterati] = partizione[non_iterati], partizione[fine]\n return maggiori\n \\`\\`\\`\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: invece che prendere l'ultimo numero come pivot prende il primo, cambiando leggermente l'algoritmo.)\n \n ## Note per l'esame\n \n > La domanda che fa sempre è **\"Qual è la sequenza di pivot utilizzata?\"**\n \n > Elementi da soli _non_ vengono presi come pivot!\n `}\n \n \n {`\n # Counting sort\n\n Il _counting sort_ è un approccio diverso all'ordinamento: **non usa il confronto**!\n \n ## Requisiti\n \n Il counting sort può essere utilizzato solo su **sequenze di numeri interi**, e solo se **siamo a conoscenza del minimo e del massimo** dei numeri contenuti nell'array, ed essi non sono troppo distanti uno dall'altro. \n (La memoria occupata dal counting sort aumenta linearmente con la differenza tra minimo e massimo!)\n \n Per semplicità, consideriamo il **minimo \\`0\\`**. \n L'input allora sarà una sequenza di interi \\`A\\`, e il valore del **massimo \\`k\\`**, tale che \\`∀ n ∈ A, 0 \\\\leq n \\\\leq K\\`.\n \n ## Funzionamento\n \n Il counting sort **conta le ripetizioni** delle chiavi nella sequenza originale e in seguito **sovrascrive i valori** della sequenza con i valori ordinati ripetuti il numero di volte che sono stati individuati nella sequenza.\n \n > \\`\\`\\`\n > 1 4 5 3 4 1 4 2 5 1\n > \\`\\`\\`\n >\n > L'\\`1\\` appare 3 volte, il \\`2\\` 1 volta, il \\`3\\` 1 volta, il \\`4\\` tre volte e il \\`5\\` due volte.\n >\n > La sequenza viene quindi così sovrascritta:\n > \\`\\`\\`\n > 1 1 1 3 4 1 4 2 5 1 # Sovrascriviamo la sequenza con 1 ripetuto 3 volte\n > 1 1 1 2 3 4 4 4 5 1 # Sovrascriviamo la sequenza con 2, 3, 4 ripetuti rispettivamente 1 1 e 3 volte\n > 1 1 1 2 3 4 4 4 5 5 # Sovrascriviamo la sequenza con 5 ripetuto 2 volte: abbiamo finito!\n > \\`\\`\\` \n \n Esiste anche una **versione stabile** del counting sort che, invece che sovrascrivere, **sposta i valori**, mantenendo le informazioni aggiuntive nel caso invece che interi fossero altri tipi di dati.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(k + n)\\` | \\`Ω(k + n)\\` | **\\`θ(k + n)\\`** |\n \n L'algoritmo è composto da quattro parti:\n - Ricerca del minimo e massimo (in \\`θ(n)\\`)\n - Inizializzazione dell'indice (in \\`θ(k)\\`)\n - Conteggio dei numeri (in \\`θ(n)\\`)\n - Sovrascrittura dei numeri (in \\`θ(k + n)\\`)\n \n \\`2 + O(k) + O(n) + O(k + n) -> O(k + n)\\`\n \n Notiamo che \\`k\\` è costante, l'algoritmo è \\`O(n)\\`, estremamente efficiente.\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def counting_sort(lista: typing.List[int]):\n \"\"\"Ordina in-place una lista con il counting sort.\"\"\"\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Sovrascrivo i numeri nella lista\n count = 0\n for pos, val in enumerate(indice):\n for _ in range(val):\n indice[count] = pos\n count += 1\n \n def stable_counting_sorted(lista: typing.List[int], k: int) -> typing.List[int]:\n \"\"\"Ordina stabilmente una lista con il counting sort stabile, e restituiscila.\"\"\"\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Faccio diventare l'indice \"il numero di numeri \\\\leq i\"\n for i in range(len(indice)):\n if i == 0:\n continue\n indice[i] += indice[i-1]\n assert indice[-1] == dim\n # Creo una nuova lista, che sarà quella che verrà restituita\n nuova = [None for _ in range(dim)]\n # Inizio a posizionare i numeri, al contrario\n for i in range(0, dim, -1):\n nuova[indice[lista[i]]] = lista[i]\n indice[lista[i]] -= 1\n return nuova\n \\`\\`\\`\n `}\n \n \n {`\n ## Introduzione alle Strutture Dati\n\n Una _struttura dati_ è un modo in cui si possono organizzare i dati di un programma.\n \n Si possono definire in due modi: **elementari** e **astratte**.\n \n ### Strutture dati elementari\n \n Le strutture _elementari_ dipendono strettamente dal modo in cui vengono memorizzati i dati.\n \n > **Array** e **liste** sono strutture dati elementari: sono definite dicendo come sono memorizzati i dati, rispettivamente, in celle contigue di memoria e da una serie di nodi con un valore e che puntano al successivo.\n \n ### Strutture dati astratte\n \n Le strutture _astratte_ sono separate dal modo in cui vengono memorizzati i dati, sono più ad alto livello, e si definiscono descrivendo le **proprietà** della struttura e i **metodi** che su di essa possono essere effettuate.\n \n > Una _classe_ in un qualsiasi linguaggio di programmazione è una struttura dati astratta.\n \n > Una _pila_ astratta:\n > - memorizza dati tutti dello stesso tipo\n > - \\`pop()\\`, estrae dalla pila l'ultimo valore inserito\n > - \\`push(val)\\`, aggiunge alla pila un valore\n > - \\`top()\\`, permette di vedere l'ultimo valore inserito nella pila\n > - \\`vuota()\\`, dice se la pila è vuota oppure no.\n `}\n \n \n {`\n # Array\n\n Un _array_ è sequenza di dati di **lunghezza conosciuta**, tutti dello **stesso tipo** e di una **dimensione fissa**, immagazzinata in **blocchi di memoria contigui**.\n \n ## Proprietà\n \n - E' possibile accedere a tutti i blocchi di memoria conoscendo la loro **posizione relativa al primo** elemento.\n \n ## Metodi\n \n \\`\\`\\`python\n class Array:\n def __init__(self, size, type=int): \"Crea un array di dimensione size di elementi di tipo int.\"\n def __getitem__(self, index): \"Restituisci il valore alla posizione index.\"\n def __setitem__(self, index, value): \"Cambia il valore alla posizione index.\"\n \\`\\`\\`\n \n ### Costo computazionale\n \n Tutte le operazioni su un array sono in **accesso immediato \\`O(1)\\`**!\n `}\n \n \n {`\n # Lista\n \n Una _lista_ è una sequenza di dati immagazzinata in **blocchi di memoria qualsiasi**.\n \n ## Proprietà\n \n Ogni dato ha un **riferimento** alla collocazione di memoria **successiva** (un puntatore): insieme, sono detti un _nodo_.\n \n E' di **natura ricorsiva**: qualsiasi nodo di una lista può essere visto come inizio della lista con sè stesso e i suoi successivi.\n \n ## Metodi\n \n \\`\\`\\`python\n class LinkedList:\n def __init__(self, value, next: typing.Optional[Node] = None):\n self.value = value\n self.next: typing.Optional[Node] = next\n \n def is_empty(self) -> bool: \"Restituisce se la lista è vuota o no.\"\n def is_full(self) -> bool: \"Restituisce se la lista è piena o no.\n def append(self, value): \"Aggiunge un nuovo elemento in testa alla lista.\"\n def insert(self, value, index): \"Inserisce un elemento dopo il nodo in posizione index.\"\n def insert_node(self, value, node): \"Inserisce un nuovo elemento subito dopo un dato nodo.\"\n def find(self, node) -> int: \"Trova l'indice del nodo.\"\n def delete(self, value): \"Elimina il primo nodo con quel valore dalla lista.\"\n def delete_node(self, node): \"Elimina il nodo dalla lista.\"\n def forward(self, index) -> Node: \"Restituisce il nodo in posizione index.\"\n \\`\\`\\`\n \n ### Costo computazionale\n \n #### \\`List.forward(index)\\`\n \n Per raggiungere l'\\`n\\`-esimo elemento, bisogna _scorrere tutti gli elementi prima di esso_: è dunque un **accesso sequenziale** in **\\`O(n)\\`**.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n `}\n \n \n {`\n # Coda (Queue)\n\n Una _coda_ è come una pila, ma segue la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo \\`enqueue()\\`**\n - I dati possono essere estratti solo tramite il **metodo \\`dequeue()\\`**\n - Verranno restituiti i valori inseriti secondo la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n > Hai presente quando fai la fila per pagare al supermercato? Beh, è quello, però non si possono superare le altre persone in nessun modo.\n \n ## Metodi\n \n \\`\\`\\`python\n class Queue:\n def __init__(self): \"Crea una nuova coda.\"\n def is_empty(self) -> bool: \"Restituisce vero se la coda è vuota.\"\n def enqueue(self, data): \"Aggiunge un dato alla coda.\"\n def first(self) -> ...: \"Restituisce il primo dato della coda.\"\n def dequeue(self) -> ...: \"Restituisce il primo dato della coda e lo rimuove.\"\n \\`\\`\\`\n \n ## Implementazione tramite lista\n \n Posso implementare la coda con una lista, ma per realizzare l'implementazione più efficiente devo tenere anche un puntatore all'ultimo elemento della coda, in modo da non doverla scorrere ogni volta che voglio effettuare un'operazione.\n \n Chiamiamo i due puntatori \\`head\\` e \\`tail\\` rispettivamente.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n `}\n \n \n {`\n # Pila (Stack)\n\n Una _pila_ è una struttura dati contenente **valori omogenei**.\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo \\`push()\\`**\n - I dati possono essere estratti solo tramite il **metodo \\`pop()\\`**\n - Verranno restituiti i valori inseriti secondo la strategia **Last In, First Out** (l'ultimo inserito sarà il primo a essere estratto).\n \n > Ci si può immaginare una pila di libri, da cui si può solo prendere un libro alla volta, quello più in alto.\n \n ## Metodi\n \n \\`\\`\\`python\n class Stack:\n def __init__(self): \"Crea una nuova pila.\"\n def is_empty(self) -> bool: \"Restituisce vero se la pila è vuota.\"\n def push(self, data): \"Aggiunge un dato alla pila.\"\n def top(self) -> ...: \"Restituisce il primo dato della pila.\"\n def pop(self) -> ...: \"Restituisce il primo dato della pila e lo rimuove.\"\n \\`\\`\\`\n \n ## Implementazione tramite lista\n \n Utilizzando una lista possiamo realizzare una pila!\n \n La direzione dei puntatori sarà dall'ultimo al primo, che non punterà più a nessuno.\n \n Il costo di tutti i metodi è \\`Θ(1)\\`!\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n `}\n \n \n {`\n # Albero radicato\n \n Un _albero radicato_ è una struttura dati di **natura ricorsiva** che organizza i dati in maniera **non-lineare**.\n \n ## Proprietà\n \n - Ogni nodo dell'albero ha un **unico genitore**: \\`∀ (padre, figlio), (padre' figlio) ∈ E \\\\implies padre = padre'\\`\n - Ogni nodo dell'albero può avere **un numero qualsiasi di figli**.\n \n - I **nodi superiori al padre** vengono chiamati _antenati_.\n - I **nodi inferiori ai figli** vengono chiamati _discendenti_.\n \n - Nodi **senza padre** sono detti _radice_: \\`\\\\notexists (padre, radice) ∈ E\\`\n - Nodi **con padre e figli** sono detti _rami_ o interni.\n - Nodi **senza figli** sono detti _foglie_.\n \n - La **distanza** tra il nodo radice e i suoi discendenti è detta _livello_:\n - I figli immediati sono di livello 1.\n - I \"nipoti\" (figli dei figli) sono di livello 2.\n - I figli dei nipoti sono livello 3.\n - E così via.\n - Il **livello massimo** all'interno di un albero è detto _altezza_, _profondità_ oppure _h_, ed è sempre \\`1 ≤ h ≤ n-1\\`.\n \n - Un albero ha sempre \\`n-1\\` archi.\n \n ## Alberi particolari\n \n ### Alberi \\`d\\`-ari\n \n Un albero _\\`d\\`-ario_ è un particolare tipo di albero che **limita il numero massimo di figli di un nodo** a \\`d\\`.\n \n > Un albero _binario_ può avere **massimo 2 figli** per ogni nodo; un albero _ternario_ ne può avere **3**; un albero _\\`17\\`-ario_ ne potrà avere **17**\n \n #### Alberi completi\n \n Un albero \\`d\\`-ario si dice _completo_ se **tutti i nodi hanno 0 o \\`d\\` figli**, e mai una numero in mezzo.\n \n #### Alberi bilanciati\n \n Un albero \\`d\\`-ario si dice _bilanciato_ se **tutti i livelli eccetto l'ultimo** hanno il numero massimo di figli.\n \n #### Alberi perfettamente bilanciati\n \n Un albero \\`d\\`-ario si dice _perfettamente bilanciato_ se **tutti i livelli incluso l'ultimo** hanno il numero massimo di figli.\n \n ##### Particolarità degli alberi binari perfettamente bilanciati\n \n Si può dimostrare per induzione che:\n - Hanno sempre \\`2^h\\` foglie.\n - Hanno sempre \\`2^{h+1}-1\\` (\\`\\\\sum_i=0^n 2^i\\`) nodi.\n - L'altezza è in \\`Θ(log n)\\`.\n \n ## Implementazione degli alberi\n \n Possiamo scegliere se usare una rappresentazione con array o con nodi e puntatori: ognuna ha vantaggi e svantaggi diversi.\n \n ### Implementazione tramite array\n \n E' suggerito se l'albero è regolare; più è simile a un albero d-ario completo, meglio è.\n \n ### Implementazione tramite nodi e puntatori\n \n Più adatta ad alberi irregolari.\n \n Se l'albero è regolare, creiamo il numero esatto di campi:\n \n - Valore\n - Figlio1\n - Figlio2\n - _Opzionale:_ Padre\n \n Se un albero è irregolare, creiamo una specie di lista:\n \n - Valore\n - Primo figlio\n - Prossimo fratello\n - _Opzionale:_ Padre\n `}\n \n \n {`\n #### Breadth-first search (BFS)\n\n La _breadth-first search_ è un algoritmo che visita **ogni livello** dell'albero in ordine, dal più basso al più alto.\n \n ## Funzionamento\n \n > 1. __Visita radice__\n > 2. __Visita figli__\n > 3. __Visita nipoti__\n > 4. __Visita pronipoti__\n \n Si può implementare con una coda, in cui verranno inseriti i figli del nodo visitato da visitare ed estratti dopo avere completato la visita del livello attuale.\n \n ## Pseudocodice \n \n \\`\\`\\`python\n def bfs(radice):\n c = Queue()\n c.enqueue(radice)\n while not c.is_empty():\n nodo = c.dequeue()\n print(nodo)\n for figlio in nodo.figli:\n nodo.enqueue(figlio)\n \\`\\`\\`\n `}\n \n \n {`\n # Depth-First Search\n\n La _depth-first search_ è un algoritmo che visita **tutti i sottoalberi di un figlio** prima di passare ad un altro sfruttando la natura ricorsiva degli alberi.\n \n ## Funzionamento\n \n Ci sono diverse versioni della depth-first search: ognuna visita la radice in un momento diverso.\n \n ### DFS previsita (pre-order)\n \n La _DFS pre-visita_ visita la **radice per prima**, poi tutti i sottoalberi formati dai figli uno dopo l'altro.\n \n > 1. __Visita radice__\n > 2. dfs_pre_order(figlio1)\n > 3. dfs_pre_order(figlio2)\n \n ### Postvisita (post-order)\n \n La _DFS postvisita_ visita prima tutti i sottoalberi dei figli, e **alla fine la radice**.\n \n > 1. dfs_post_order(figlio1)\n > 2. dfs_post_order(figlio2)\n > 3. __Visita radice__\n \n ### Invisita (in-order)\n \n La _DFS invisita_ visita **un certo numero di figli**, poi la radice, e infine i figli restanti.\n \n > 1. dfs_in_order(figlio1, 1)\n > 2. __Visita radice__\n > 3. dfs_in_order(figlio2, 1)\n `}\n \n \n {`\n # Albero binario di ricerca\n\n ## Proprietà\n \n - Albero **binario**\n - Chiavi appartenenti ad un **insieme totalmente ordinato** (N, Q, R, ma non C)\n \n - Per ogni nodo con valore \\`x\\`, se un valore \\`v\\` è nel sottoalbero di sinistra allora \\`v ≤ x\\`, mentre se è nel sottoalbero di destra allora \\`v > x\\`.\n \n ## Costo computazionale\n \n - Trovare un valore: \\`O(h)\\`\n - Ordinare i valori: \\`O(n)\\`\n - Trovare il minimo: \\`O(h)\\`\n - Trovare il massimo: \\`O(h)\\`\n - Inserire un elemento: \\`O(h)\\`\n - Cancellare un elemento: \\`O(h)\\`\n \n \\`h\\` vale \\`log n\\` in un albero perfettamente bilanciato, e più l'albero diventa sbilanciato, più si avvicina a \\`n\\`, raggiungendola nel caso l'albero sia una lista.\n \n ## Pseudocodice\n \n ### Cancellazione ricorsiva\n \n \\`\\`\\`python\n def delete(tree, key):\n if tree is not None:\n # Se ho trovato il nodo che cercavo...\n if tree.key == key:\n # E c'è una sola diramazione...\n # Semplicemente stacca il nodo come in una lista.\n if tree.left is None:\n return tree.right\n if tree.right is None:\n return tree.left\n # Altrimenti, diventa il minimo dell'albero di destra\n tree.key = tree.right.min()\n # Ed eliminalo dal sottoalbero\n tree.right = delete(tree.right, tree.key)\n # Se la chiave attuale è diversa da quella che cerchiamo, continuo a navigare l'albero\n elif tree.key < key:\n tree.left = delete(tree.left, key)\n else:\n tree.right = delete(tree.right, key)\n return tree\n \\`\\`\\`\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/bst)\n \n ## Approfondimenti\n \n Esistono alberi più avanzati che mantengono le proprietà degli alberi binari di ricerca, ma che si autobilanciano, come il [Red Black Tree](https://it.wikipedia.org/wiki/RB-Albero).\n `}\n \n \n {`\n # Heap binario\n \n L'_heap binario_ è un **albero binario bilanciato a sinistra**.\n \n ## Proprietà\n \n - _Proprietà strutturale_:\n - L'albero è **perfettamente bilanciato** in tutti i livelli tranne l'ultimo\n - Nell'ultimo livello, le foglie occupano le **posizioni più a sinistra** possibili\n - _Proprietà di ordinamento_:\n - La chiave di un qualsiasi nodo è **più piccola** di tutte quelle dei nodi **del suo sottoalbero**\n \n ## Metodi\n \n \\`\\`\\`python\n class Heap:\n def __init__(self, H): ...\n def _heapify_ancestors(self, i): \"Ripristina le proprietà dell'heap per il nodo all'indice specificato e i suoi genitori.\"\n def minimum(self): \"Restituisce la chiave con il valore minimo in H.\"\n def decrease_value(self, index, new_value): \"Diminuisce il valore della chiave all'indice index a new_value.\"\n def insert(self, value): \"Inserisci un nuovo valore nell'albero.\"\n def _heapify_children(self, i): \"Ripristina le proprietà dell'heap per il nodo all'indice specificato e i suoi figli.\"\n def pop(self): \"Restituisce la chiave con il valore minimo, e la elimina.\"\n def from_list(l): \"Crea un heap da una lista.\"\n \\`\\`\\`\n \n ## Implementazione con un array\n \n Possiamo implementare l'albero utilizzando un array con le chiavi dell'albero memorizzate nell'ordine _breadth-first_.\n \n L'indice del figlio sinistro può essere trovato a \\`2i+1\\`, mentre l'indice del figlio sinistro può essere trovato a \\`2i+2\\`; il genitore è a \\`i//2-1\\`.\n \n ### Pseudocodice\n \n \\`\\`\\`python\n class Heap:\n def __init__(self, size):\n self.array = Array(size) # Il tipo Array non esiste; consideriamolo pseudocodice\n self.next_value = 0\n \n def _heapify_ancestors(self, index)\n \"\"\"Ripristina le proprietà dell'heap per il nodo all'indice specificato e i suoi genitori.\n \n Costo:\n O(log n)\"\"\"\n # Trovo l'indice del genitore\n parent = index // 2 - 1\n # Controllo se viene mantenuta la proprietà di ordinamento dell'heap\n if self.array[index] < self.array[parent]:\n # Scambio i valori dei due nodi\n self.array[index], self.array[parent] = self.array[parent], self.array[index]\n # Faccio la stessa cosa con il genitore\n self._heapify(parent)\n \n \n def minimum(self):\n \"\"\"Restituisce la chiave con il valore minimo in H.\n \n Costo:\n O(1)\"\"\"\n return self.array[0]\n \n def decrease_value(self, index, new_value):\n \"\"\"Diminuisce il valore della chiave all'indice index a new_value.\n \n Costo:\n O(log n)\"\"\"\n # Diminuisco il valore del nodo\n self.array[index] = new_value\n # Aggiorno l'heap \n self._heapify(index)\n \n def insert(self, value):\n \"\"\"Inserisci un nuovo valore nell'albero.\n \n Costo:\n O(log n)\"\"\"\n # Trovo l'indice in cui inserire il valore\n index = self.next_index \n # Aggiungo il valore in fondo\n self.array[index] = value\n # Aggiorno l'heap\n self._heapify(index)\n \n def _heapify_children(self, index):\n \"\"\"Ripristina le proprietà dell'heap per il nodo all'indice specificato e i suoi figli.\n \n Costo:\n O(log n)\"\"\"\n # Trovo l'indice dei figli\n left = index * 2 + 1\n right = index * 2 + 2\n # Mi assicuro che i figli esistano\n try:\n # Guardo quale dei figli è maggiore\n if self.array[left] > self.array[right]:\n # Scambio i valori\n self.array[left], self.array[index] = self.array[index], self.array[left]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n else:\n # Scambio i valori\n self.array[right], self.array[index] = self.array[index], self.array[right]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n except IndexError:\n # La foglia non ha figli: ho finito!\n return\n \n def pop(self):\n \"\"\"Restituisce la chiave con il valore minimo, e la elimina.\n \n Costo:\n O(log n)\"\"\"\n # Mi salvo il valore della radice\n value = self.array[0]\n # Sostituisco la radice con l'ultima foglia a destra\n self.array[0], self.array[self.next_value] = self.array[self.next_value], self.array[0]\n ### Non bisognerebbe eliminare la foglia...?\n # Riordino l'heap\n self._heapify_children(0)\n return value\n \n @staticmethod\n def from_list(l):\n \"\"\"Crea un heap da una lista.\n \n Costo:\n O(n log n), ma si può abbassare\"\"\"\n heap = Heap(len(l)))\n heap.array = Array.from_list(l) # Pseudocodice\n heap.next_value = len(l)\n # Cominciamo a riordinare l'heap dalla fine, in modo che rispetti le proprietà\n for index in range(heap.next_value, 0, -1):\n heap._heapify_children(index)\n \\`\\`\\`\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/heap)\n `}\n \n \n {`\n # Coda con priorità\n \n La _coda con priorità_ è una struttura dati dal funzionamento molto simile a quello di una coda, ma invece che restituire il primo elemento inserito, essa restituisce l'**elemento con il valore di priorità minore**.\n \n ## Proprietà\n \n - Ogni elemento è una coppia costituita da **valore** e **priorità** (un numero intero).\n - Nuovi elementi possono essere aggiunti solo tramite il **metodo \\`insert()\\`**\n - Gli elementi possono essere estratti solo tramite il **metodo \\`pop()\\`**\n - Verranno restituiti i valori inseriti secondo la strategia **Lower Priority** (l'elemento con la priorità minore sarà il primo ad essere restituito).\n - E' possibile diminuire la priorità di un elemento (e quindi anticipare la sua estrazione)\n \n ## Metodi\n \n \\`\\`\\`python\n class PriorityQueue:\n def __init__(self): ...\n def insert(self, new_elem: Element): ...\n def minimum(self) -> Element: ...\n def pop(self) -> Element: ...\n def decrease_priority_for(self, elem: Element, priority: int): ...\n \\`\\`\\`\n \n ## Implementazione con lista\n \n E' possibile implementare la coda con priorità tramite una **lista**: l'inserimento di nuovi valori diventerà molto efficiente, ma tutte le altre operazioni saranno linearmente lente.\n \n ### Costo computazionale\n \n - *insert()*: \\`O(1)\\`\n - *minimum()*: \\`O(n)\\`\n - *pop()*: \\`O(n)\\`\n - *decrease_priority_for()*: \\`O(n)\\`\n \n ## Implementazione con lista ordinata\n \n Implementando la coda con priorità con una **lista ordinata** si avrà un costo di ordinamento elevato negli inserimenti e modifiche alla priorità, ma costi costanti nell'estrazione di un elemento.\n \n ### Costo computazionale\n \n - *insert()*: \\`O(n)\\`\n - *minimum()*: \\`O(1)\\`\n - *pop()*: \\`O(1)\\`\n - *decrease_priority_for()*: \\`O(n)\\`\n \n ## Implementazione con heap\n \n La **soluzione migliore** è quella di implementare la coda con priorità tramite un **heap**: tutti i costi saranno logaritmici, eccetto l'inserimento che sarà costante.\n \n - \\`insert()\\` costa \\`O(1)\\`\n - \\`minimum()\\` costa \\`O(log n)\\`\n - \\`pop()\\` costa \\`O(log n)\\`\n - \\`decrease_priority_for()\\` costa \\`O(log n)\\`\n \n ## Approfondimenti\n \n Esistono code con priorità che restituiscono **l'elemento con priorità maggiore**, invece che quello minore.\n `}\n \n \n {`\n # Heap sort\n\n L'_heap sort_ è un algoritmo di ordinamento per confronto **iterativo**.\n \n ## Funzionamento\n \n Per effettuare un heap sort, creiamo un **heap massimo** in cui inseriamo tutti i valori che vogliamo ordinare.\n \n Una volta applicate le proprietà dell'heap, chiamiamo una versione particolare di \\`heap.pop()\\` che invece che rimuovere dall'array i valori estratti li posiziona nello spazio creatosi in fondo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(n log n)\\` | \\`Ω(n log n)\\` | **\\`θ(n log n)\\`** |\n `}\n \n \n {`\n # Grafo\n \n Un _grafo_ è una struttura dati che rappresenta elementi interconnessi tra loro.\n \n Esistono due tipi di grafi: _orientati_ e _non orientati_.\n \n Per semplicità, consideriamo i nostri nodi numerati da 1 a \\`n\\`.\n \n ## Proprietà\n \n - Gli elementi sono rappresentati tramite _nodi_.\n - Il loro _grado_ è dato dal **numero degli archi** che vi incidono.\n - Se il grafo è orientato, hanno anche un _in-degree_ (**numero di archi entranti**) e un _out-degree_ (**numero di archi uscenti**).\n - Le connessioni tra elementi sono rappresentate tramite _archi_.\n - Un arco _incide_ esattamente su **due nodi**.\n - Se il grafo è orientato, sono _uscenti_ da uno dei due nodi ed _entranti_ nell'altro.\n - Sono matematicamente meno del **quadrato dei nodi**.\n \n ## Grafi particolari\n \n ### Catena\n \n Una _catena_ è un **grafo non orientato** composto da una **sequenza di nodi** aventi un **grado massimo di 2** tutti collegati tra loro.\n \n ### Cammino\n \n Un _cammino_ è un **grafo orientato** composto da una **sequenza di nodi** aventi un **in-degree** e un **out-degree** **massimo di 1**, collegati tra loro in modo che partendo dal primo e seguendo gli archi sia possibile arrivare all'ultimo.\n \n ### Cricca\n \n Una _cricca_ è un grafo in cui **tutti i nodi sono collegati tra loro**.\n \n Se il grafo è **non orientato**, la cricca ha \\`((n-1)n)/2\\` archi.\n \n Se il grafo è **orientato**, ha per ogni coppia un arco in entrambe le direzioni, quindi ha \\`(n-1)n\\` archi.\n \n ### Direct Acyclic Graph\n \n Un _DAG_ è un grafo diretto che non contiene nessun ciclo.\n \n Su di esso possiamo effettuare un ordinamento, detto _linearizzazione_, tra i nodi: otteniamo l'_ordine topologico_.\n \n I primi elementi dei DAG sono detti _Source_ (_Sorgente_), mentre gli ultimi sono detti _Sink_ (_Pozzo_).\n \n #### Albero\n \n Un **albero** può essere considerato un DAG con una **sorgente singola** e le **foglie come pozzi**.\n \n ### Grafo fortemente connesso\n \n Un insieme di nodi \\`V\\` di un **grafo diretto** \\`G\\` si dice una _componente fortemente connessa_ se:\n \n 1. Per ogni coppia di nodi \\`∀ u, v ∈ V' : ∃ un cammino u->v in G'\\`\n 2. Massimale (non può diventare più grande)\n \n > Praticamente una componente fortemente connessa è un gruppo di nodi tra i quali si può viaggiare liberamente da e a qualsiasi nodo al suo interno.\n \n Un grafo si dice _fortemente connesso_ se l'insieme \\`V\\` coincide con l'insieme dei nodi del grafo \\`G\\`.\n \n > Se partendo da qualsiasi nodo di un grafo riesco ad arrivare a qualsiasi altro nodo, allora il grafo è fortemente connesso.\n \n Inoltre, se creiamo un nuovo grafo, in cui **ogni nodo rappresenta una componente fortemente connessa** del nostro grafo iniziale, **otteniamo un DAG**, perchè tutti i cicli sono stati integrati nella componente.\n \n ### Trasposto di un grafo\n \n Il _trasposto_ di un **grafo diretto** \\`G\\` è il grafo stesso con gli archi che però vanno nella **direzione opposta**.\n \n ### Grafo pesato\n \n Un _grafo pesato_ è un particolare grafo che associa a ciascun arco un **costo** per attraversarlo.\n \n #### Costi negativi\n \n I costi possono anche essere negativi: rappresenteranno allora un **guadagno** ottenuto attraversando il nodo.\n \n ### Minimum spanning tree\n \n Un _minimum spanning tree_ è il **sottoinsieme degli archi** di un **grafo non diretto** che **connettono tutti i nodi** con il **minor costo possibile**.\n \n I MST hanno [molte proprietà](https://en.wikipedia.org/wiki/Minimum_spanning_tree#Properties); sono troppe da scrivere qui, e probabilmente non ci interesseranno nemmeno.\n \n ## Implementazione tramite matrice di adiacenza\n \n Possiamo implementare un grafo creando una **matrice di \\`bool\\` di dimensione \\`n * n\\`** in cui le **caselle collegate sono vere** e le caselle non collegate sono false.\n \n > Ad esempio, possiamo implementare un grafo non orientato in questo modo (\\`█\\` indica l'esistenza di un collegamento e \\` \\` indica la sua assenza):\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|░|░|\n > |2|█|░|░|\n > |3|█| |░|\n >\n > Esistono gli archi \\`1-2\\` e \\`1-3\\`, ma non esiste un collegamento \\`2-3\\`.\n \n > Un grafo orientato invece si può implementare così:\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|█| |\n > |2|█|░| |\n > |3|█| |░|\n >\n > Esistono gli archi \\`1->2\\`, \\`2->1\\` e \\`3->1\\`, ma non ci sono collegamenti \\`2->3\\`, \\`1->3\\` e \\`3->2\\`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Le matrici di adiacenza portano alla realizzazione di algoritmi molto veloci: verificare l'esistenza di un arco è in \\`O(1)\\`!\n \n Abbiamo però penalità significative quando vogliamo effettuare operazioni sugli archi: ad esempio, trovare il trasposto di un grafo implementato con una matrice di adiacenza è in \\`O(nodi²)\\`.\n \n #### Memoria\n \n E' poco efficiente in quanto a memoria: l'upper bound è in \\`O(n^2)\\`. \n \n ## Implementazione tramite liste di adiacenza\n \n Un'alternativa alla matrice di adiacenza è quella di creare un'**array di liste**, le quali contengono i **vicini di ciascun nodo**.\n \n > |Posizione|Lista|\n > |-|-|\n > |1|[2, 3]|\n > |2|[]|\n > |3|[1]|\n >\n > Esistono gli archi \\`1->2\\`, \\`1->3\\`, e \\`3->1\\`, ma non esistono \\`2->1\\`, \\`2->3\\` e \\`3->2\\`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Utilizzando le liste di adiacenza, il tempo richiesto per verificare l'esistenza di un arco sale a \\`O(max-out-degree)\\`.\n \n E' efficace però quando il problema che vogliamo risolvere riguarda operazioni su archi: trovare la trasposta è in \\`O(archi)\\`.\n \n #### Memoria \n \n La memoria richiesta dalle liste di adiacenza è minore di quella delle matrici: l'upper bound è in \\`O(nodi + archi)\\`.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/graphds)\n `}\n \n \n {`\n # Visitare un grafo\n \n Come per gli alberi radicati, esistono due modi per visitare un grafo: _depth-first search_ e _breadth-first search_.\n \n In entrambi i casi, non visito mai due volte lo stesso nodo, e come risultato ottengo **molteplici alberi**, il cui insieme viene detto _foresta di copertura_.\n \n Se il grafo che vogliamo visitare è diretto, allora dobbiamo **considerare come vicini solo gli archi uscenti**\n \n ## Depth-first search\n \n La DFS ci può risultare utile per **identificare le componenti connesse** di un grafo e **identificare eventuali cicli**.\n \n ### Funzionamento\n \n Posso utilizzare la DFS per classificare gli archi di un grafo in quattro categorie:\n \n - _Tree_, archi che ci fanno **scoprire un nuovo nodo**\n - _Forward_, archi che ci portano a un **discendente**\n - _Back_, archi che ci portano ad un **antenato**\n - _Cross_, archi che **connettono due sottoalberi** diversi\n \n Usiamo due array inizializzati a 0 chiamati \\`pre\\` e \\`post\\`, grandi quanto il numero di archi del grafo, che ci indicano rispettivamente quando un nodo è stato scoperto e quando è terminata la visita. \n Inoltre, creiamo una variabile \\`clock\\` che avanza ad ogni evento. \n Alla scoperta di un nuovo nodo, mettiamo il valore attuale di \\`clock\\` all'interno di \\`pre[n]\\`. \n Alla fine della visita di un nodo invece mettiamo il valore di \\`clock\\` in \\`post[n]\\`.\n \n **Durante la visita**, gli archi avranno i seguenti valori:\n - _Tree_: \\`pre[dst] == 0\\`\n - _Forward_: \\`pre[src] < pre[dst] && post[dst] > 0\\`\n - _Back_: \\`pre[dst] < pre[src] && post[dst] == 0\\`\n - _Cross_: Tutti gli altri (\\`post[dst] < pre[src]\\`)\n \n **A fine visita**, gli archi avranno i seguenti valori:\n - _Tree_: \\`pre[dst] < pre[dst] < post[dst] < pre[src]\\`\n - _Forward_: \\`pre[dst] < pre[dst] < post[dst] < pre[src]\\`\n - _Back_: \\`pre[src] < pre[dst] < post[dst] < post[src]\\`\n - _Cross_: \\`pre[dst] < post[dst] < pre[src] < post[src]\\`\n \n Se un **grafo non diretto** contiene degli **archi Back**, allora esso **conterrà un ciclo**.\n \n #### DFS nel grafo trasposto\n \n Se effettuo una DFS sul trasposto di un grafo, posso **scoprire i nodi che hanno un cammino verso l'origine**.\n \n #### DFS nella componente fortemente connessa\n \n Se effettuo una DFS in una componente fortemente connessa e nella sua trasposta, il **\\`post\\` della trasposta sarà sempre minore** del \\`post\\` della componente originale.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(nodi + archi)\\` | \\`Ω(nodi + archi)\\` | **\\`θ(nodi + archi)\\`** |\n | Memoria | \\`O(nodi)\\` | \\`Ω(nodi)\\` | **\\`θ(nodi)\\`** |\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n \n ## Breadth-first search\n \n La BFS ci può risultare utile per **trovare tutti i nodi a una certa distanza** da un'origine.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | \\`O(nodi + archi)\\` | \\`Ω(nodi + archi)\\` | **\\`θ(nodi + archi)\\`** |\n | Memoria | \\`O(nodi + archi)\\` | \\`Ω(nodi + archi)\\` | **\\`θ(nodi + archi)\\`** |\n \n ### Pseudocodice\n \n Come per gli alberi, la implementiamo in modo **iterativo**:\n \n \\`\\`\\`python\n queue = [starting_node]\n parents = [None for node in graph.nodes]\n distance = [-1 for node in graph.nodes]\n \n # TODO: controllami quando sei più sveglio\n \n while queue:\n node, source, distance = queue.pop(0)\n parents[node.number] = source\n distance[node.number] = distance\n for neighbour in node.neighbours:\n queue.append((neighbour, node, distance+1))\n \\`\\`\\`\n \n > Nella coda, la distanza massima tra un nodo e l'altro è 1.\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n `}\n \n \n {`\n # Algoritmi greedy\n\n Un modo per risolvere problemi algoritmici può essere usare una **tecnica** _greedy_.\n \n Le tecniche greedy consistono nel effettuare tanti piccoli passi, ed effettuare una **scelta** in base ai dati **locali al passo attuale**.\n \n > Scegli il numero di monete più piccole possibili per comporre €1.12.\n >\n > L'algoritmo cerca di scegliere sempre la moneta più grande possibile compatibile con il prezzo in quel momento, quindi:\n > | Moneta scelta | Rimanente |\n > |---------------|-----------|\n > | € 1.00 | € 0.12 |\n > | € 0.10 | € 0.02 |\n > | € 0.02 | € 0.00 |\n \n ## Esempi\n \n Sono algoritmi greedy:\n \n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n `}\n \n \n {`\n # Percorso più breve\n\n Trovare il _percorso più breve_ (o _cammino minimo_) tra due nodi di un **grafo pesato** è un problema frequente nell'informatica; per questo, sono stati sviluppati [numerosi algoritmi](https://en.wikipedia.org/wiki/Shortest_path_problem) per risolverlo.\n \n > Ad esempio, il pathfinding dei nemici nei videogiochi, oppure Google Maps!\n \n ## Percorso più breve da una sorgente singola\n \n Una sottocategoria del problema del percorso più breve è il caso in cui ci interessa sapere i percorsi più brevi che **partono da uno specifico nodo del grafo**: è detto problema del _percorso più breve da una sorgente singola_, o _single-source shortest path_.\n \n Si può notare che se il grafo contiene **costi negativi** allora è possibile che il percorso più breve non esista, in quanto diventa possibile la comparsa di **cicli di costo infinitamente negativo**.\n \n Possiamo notare che, se il percorso più breve tra \\`A\\` e \\`D\\` è \\`A-B-C-D\\`, allora il cammino minimo tra \\`B\\` e \\`D\\` passerà obbligatoriamente per \\`C\\` (\\`B-C-D\\`).\n Diremo più avanti che il percorso più breve ha una **sottostruttura ottimale**.\n \n ### Esempi\n \n Alcuni algoritmi che trovano il percorso più breve sono:\n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Bellman-Ford_\n - La [_ricerca A*_](https://en.wikipedia.org/wiki/A*_search_algorithm)\n `}\n \n \n {`\n # Algoritmo di Dijkstra\n \n L'_Algoritmo di [Dijkstra](https://upload.wikimedia.org/wikipedia/commons/8/85/Dijkstra.ogg)_ è un algoritmo che risolve il problema del **percorso più breve da una sorgente singola** per grafi con pesi **reali positivi** \\`\\\\mathbb{R}^+\\`.\n \n L'algoritmo trova tutti i percorsi più brevi per raggiungere qualsiasi nodo del grafo partendo da un dato nodo, assieme al costo richiesto per farlo.\n \n ## Funzionamento\n \n 1. Separiamo tutti i nodi del grafo in due gruppi: **visitati** e **non visitati**. \n - Tutti i nodi partono da **non visitati**.\n 2. Per ogni nodo, manteniamo un valore \"**costo richiesto per raggiungerlo**\", che verrà cambiato man mano che l'algoritmo avanza.\n - Il costo di partenza è \\`+∞\\`.\n - Il costo sarà **definitivo per i nodi visitati**, e **provvisorio per i non visitati**.\n 3. Creiamo un insieme detto _frontiera_ che conterrà tutti i **nodi non visitati adiacenti** a quelli visitati.\n 4. Prendiamo il nodo iniziale, che avrà un **costo di \\`0\\`**, e definiamolo il nodo _attuale_.\n 5. Finchè ci sono dei nodi non sono stati visitati, ripetiamo il seguente ciclo:\n 1. Aggiungiamo i nodi adiacenti al nodo attuale alla frontiera.\n - Il costo per raggiungerli sarà il **costo per il nodo attuale sommato al costo dell'arco** che li connette al nodo attuale. \n Se questo **costo** risulta essere **minore del costo provvisorio** precedente, esso **diventerà il nuovo costo**.\n - Questa operazione è detta _rilassamento dell'arco_.\n 2. Facciamo diventare **visitato** il nodo attuale.\n - Il percorso che abbiamo fatto per raggiungerlo è obbligatoriamente il più breve.\n 3. Il prossimo nodo attuale sarà il nodo di frontiera con un costo più basso.\n - Per questo, è possibile definire l'algoritmo di Dijkstra come un **algoritmo greedy**.\n \n ### Non funziona se...\n \n L'algoritmo smette di funzionare nel caso in cui siano presenti **costi negativi** e il grafo non sia **aciclico**, in quanto non saremmo mai in grado di rendere visitato un nodo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | \\`O(nodi + archi) log nodi)\\` |\n \n ### Scomposizione\n \n - Inizializzazione: \\`O(nodi)\\`\n - Creazione coda priorità: \\`O(nodi log nodi)\\`\n - Ciclo: \\`O((nodi + archi) log nodi)\\`\n \n ## Pseudocodice\n \n \\`\\`\\`python\n import math\n \n class Info:\n def __init__(self, distance=math.inf, previous=None):\n self.distance = distance\n self.previous = previous\n \n def dijkstra(graph, start):\n data = [Info() for node in graph.nodes]\n queue = PriorityQueue([start])\n while queue:\n node = queue.pop()\n for arc in node.connections:\n other = arc.other(node)\n if data[node.number].distance + arc.cost < data[other].distance:\n data[other].distance = data[node.number].distance + arc.cost\n queue.decrease_priority_for(other, data[other].distance)\n data[v].previous = node\n return data\n \\`\\`\\`\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n `}\n \n \n {`\n # Algoritmo di Bellman-Ford\n\n L'_Algoritmo di Bellman-Ford_ è un algoritmo che, come l'Algoritmo di Dijkstra, risolve il problema del **percorso più breve da una sorgente singola**, però, a differenza da quest'ultimo, l'Algoritmo di Bellman-Ford accetta in input anche grafi con pesi **reali** \\`\\\\mathbb{R}\\` (sia positivi, sia negativi).\n \n ## Funzionamento\n \n L'approccio dell'algoritmo è simile a quello di Dijkstra: entrambi usano il **rilassamento** degli archi per ottenere un costo provvisorio per il raggiungimento di un nodo, ma invece che rilassare solo l'arco con costo inferiore, questo algoritmo **rilassa tutti gli archi** ripetutamente, eliminando la frontiera e il problema dei nodi negativi.\n \n L'operazione di rilassamento è ripetuta \\`nodi - 1\\` volte, ovvero la **lunghezza massima** di un cammino aciclico all'interno di un grafo.\n \n Possiamo individuare dopo i rilassamenti se è presente un nodo con un **ciclo negativo**: ci basta controllare se esiste un arco che connette due nodi con una distanza incompatibile: se \\`a.distanza + arco.costo < b.distanza\\`, allora è presente un ciclo negativo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | \\`O(nodi * archi)\\` |\n \n ## Pseudocodice\n \n > TODO\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n `}\n \n \n {`\n # Disjoint set\n \n Il _disjoint set_ è una struttura dati che rappresenta elementi di un insieme raggruppati in **sottoinsiemi disgiunti**.\n \n ## Metodi\n \n \\`\\`\\`python\n class DisjointNode:\n def __init__(self): ...\n def find_set(self): \"Trova il rappresentante dell'elemento.\"\n def union(self, other): \"Unisce i sottoinsiemi che contengono questo nodo e \\`other\\`.\"\n \\`\\`\\`\n \n ## Implementazione tramite array\n \n Possiamo implementare il disjoint set con due array: uno per l'**indice del rappresentante** e uno per il **rango dell'insieme**.\n \n Un singoletto avrà **sè stesso come rappresentante** e **rango \\`0\\`**.\n \n ### Costo computazionale\n \n - *create_set()*: \\`O(1)\\`\n - *find_set()*: \\`O(h)\\`\n - *union()*: \\`O(h)\\`\n \n ### Pseudocodice\n \n \\`\\`\\`python\n class DisjointNode:\n def __init__(self):\n self.parent = self\n self.rank = 0\n \n def find_set(self):\n element = self\n while self.parent != element:\n element = self.parent\n return element\n \n def union(self, other):\n repres_self = self.find_set()\n repres_other = other.find_set()\n if repres_self == repres_other:\n return\n if repres_self.rank < repres_other.rank:\n repres_greater = repres_other\n repres_lesser = repres_self\n else:\n repres_greater = repres_self\n repres_lesser = repres_other\n repres_lesser.parent = repres_greater\n if repres_greater.rank == repres_lesser.rank:\n repres_greater.rank += 1\n \\`\\`\\`\n \n ### Visualizzazione\n \n [cs.usfca.edu](https://www.cs.usfca.edu/~galles/JavascriptVisual/DisjointSets.html)\n `}\n \n \n {`\n # Trovare il minimum spanning tree\n\n Un altro problema ricorrente riguardante i grafi è trovare il _minimum spanning tree_ di un dato grafo non diretto.\n \n > E' utile per trovare il modo più efficiente per connettere le cose: ad esempio, per decidere la struttura di una rete internet!\n \n ## Esempi\n \n Gli algoritmi principali che risolvono il problema sono due, ed entrambi sono **algoritmi greedy**:\n \n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n `}\n \n \n {`\n # Algoritmo di Kruskal\n \n L'_Algoritmo di Kruskal_ è un algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n 1. Ripetiamo questa procedura finchè tutti i nodi non sono connessi:\n 1. Prendiamo ad ogni passo **l'arco meno costoso** del grafo non ancora aggiunto all'insieme.\n 2. Assicuriamoci che **non si creino cicli**: se non se ne verrebbero a creare, possiamo **aggiungere l'arco all'insieme**.\n - Gli archi devono quindi connettere nodi in **componenti connesse diverse**.\n - Possiamo rappresentare le componenti connesse con un **Disjoint Set**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | \\`O(archi²)\\` |\n \n ### Scomposizione\n \n - DisjointSet.__init__(): \\`O(archi)\\`\n - Per ogni ciclo: \\`O(archi²)\\`\n - DisjointSet.find_set(): \\`O(1)\\`\n - DisjointSet.union(): \\`O(archi)\\`\n \n ## Pseudocodice\n \n \\`\\`\\`python\n def minimum_spanning_tree_kruskal(graph):\n ds = DisjointSet()\n for node in graph.nodes:\n ds.create_set(node)\n arcs = []\n sorted_arcs = sorted(graph.arcs, key=lambda arc: arc.cost)\n for arc in sorted_arcs:\n if ds.find_set(node.start) != ds.find_set(node.end):\n arcs.append(arc)\n ds.union(node.start, node.end)\n return arcs\n \\`\\`\\`\n `}\n \n \n {`\n # Algoritmo di Prim\n \n L'_Algoritmo di Prim_ è un altro algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n Creo una **coda con priorità** in cui inserisco tutti gli archi visibili dal mio albero, in cui la chiave è il **costo dell'arco**.\n \n Per trovare l'arco con costo più piccolo posso **estrarre un arco** dalla coda: la priorità ci garantisce che esso è l'**arco meno costoso**.\n \n Aggiungo allora un nuovo nodo all'albero, e con esso, **aggiungo alla coda** tutti gli **archi che scoprono un nuovo nodo**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | \\`O(archi + nodi log nodi)\\` |\n \n ## Pseudocodice\n \n \\`\\`\\`python\n import math\n \n def minimum_spanning_tree_prim(graph, cost_array, start_node):\n # E' un Array di bool: se l'indice corrispondente al nodo è uguale a true, vuol dire che il (nodo è contenuto nell'albero.\n contains = [False for _ in range(len(graph))]\n # Contiene il precedente di ogni nodo \n prev = [None for _ in range(len(graph))]\n # Contiene il costo per arrivare a quel nodo\n cost = [math.inf for _ in range(len(graph))]\n # Creo la priority queue\n pq = PriorityQueue(graph.arcs, key=lambda arc: arc.cost)\n # Parto dal nodo \\`start_index\\`\n # Il costo dell'origine è 0.\n cost[start_node.index] = 0\n contains[start_node.index] = True\n \n while not pq.is_empty():\n new_node = pq.pop()\n contains[new_node.index] = True\n for arc in new_node.connections:\n other_node = arc.other(new_node)\n if not contains[other_node.index] and cost[other_node.index] > arc.cost:\n cost[other_node.index] = arc.cost\n prev[other_node.index] = new_node\n pq.decrease_priority_for(other_node, arc.cost)\n # L'array di prev rappresenta un albero.\n return prev\n \\`\\`\\`_\n `}\n \n \n {`\n # Compressione\n\n _Comprimere_ un file significa **ridurne le dimensioni** senza modificarne il significato.\n \n ## Categorie\n \n ### Compressione lossless\n \n Nella _compressione lossless_, i dati possono essere decompressi riottenendo una copia identica dell'originale.\n \n > Immaginiamo un file che contiene solo le lettere \\`a, b, c, d, e, f\\`.\n >\n > Le lettere compaiono con questa frequenza:\n > |a|b|c|d|e|f|\n > |45%|13%|12%|16%|9%|5%|\n >\n > Possiamo codificare le lettere nel seguente modo:\n > |a|b|c|d|e|f|\n > |\\`0b0\\`|\\`0b100\\`|\\`0b101\\`|\\`0b111\\`|\\`0b1100\\`|\\`0b1101\\`|\n >\n > Scrivere \\`abacadae\\` richiederebbe 64 bits con la codifica ASCII estesa, ma in questo modo riusciamo a scriverlo con soli 17 bits!\n \n Le codifiche di un file compresso devono rispettare la proprietà del _Codice a prefisso_, che dice che **nessun codice deve essere il prefisso di un altro codice**; altrimenti, si avrebbero ambiguità nella decodifica.\n \n > a = \\`1\\`\n > b = \\`11\\`\n >\n > \\`111\\` è \\`ab\\`, \\`ba\\` oppure \\`aaa\\`?\n \n Creiamo allora un _albero di decodifica_: un **albero binario** che, leggendo uno ad uno i bit codificati, ci permette di arrivare al **valore del codice presente sulle foglie** dell'albero.\n \n Gli alberi di decodifica sono sempre **completi**.\n \n > Un albero di decodifica incompleto sarebbe non ottimizzato!\n \n #### Esempi\n \n - .png\n - .flac\n - .zip\n - ...\n \n ### Compressione lossy\n \n Nella _compressione lossy_, alcuni dati [solitamente](http://needsmorejpeg.com/) irrilevanti vengono perduti: non si può, dunque, ricostruire l'originale.\n \n #### Esempi\n \n - .jpeg\n - .mp3\n - ...\n `}\n \n \n {`\n # Algoritmo di Huffman\n\n L'_Algoritmo di Huffman_ è un **algoritmo greedy** per la **costruzione di un albero di decodifica**.\n \n ## Funzionamento\n \n 1. Costruisco **un albero** (con un solo nodo) **per ogni elemento dell'alfabeto**.\n 2. Associo ad **ogni albero la frequenza dell'elemento** da cui è stato creato, per poi inserire tutti gli elementi in una coda con priorità.\n 3. Finchè non ho **un albero solo**:\n 1. Estraggo dalla coda i **due alberi con frequenza minore**.\n 2. **Li rendo fratelli**, creando un nuovo nodo in cui sono uno figlio destro e uno figlio sinistro.\n 3. Associo al nuovo nodo la **somma delle frequenze dei due alberi**, e inserisco il nuovo albero nella coda.\n \n > È molto raro che venga un albero \"dritto\"; se succede, probabilmente c'è qualcosa che non va.\n `}\n \n \n {`\n # Dizionario\n \n Un _dizionario_ è una struttura dati che **associa dei valori a delle chiavi**.\n \n ## Proprietà\n \n - Ogni elemento del dizionario è un **valore** che è stato **associato a una chiave**.\n - Possiamo aggiungere nuovi elementi con il **metodo \\`add(chiave, valore)\\`**.\n - Posiamo estrarre elementi con il **metodo \\`get(chiave)\\`**, che restituirà il valore associato a \\`chiave\\`.\n - E' possibile rimuovere elementi con il **metodo \\`delete(chiave)\\`**.\n - Due elementi con **chiavi diverse** non devono **mai restituire lo stesso valore**.\n \n ## Metodi\n \n Beh... Non ha molto senso in questo caso...\n \n \\`\\`\\`python\n dict()\n \\`\\`\\`\n \n ## Implementazione con tabella hash\n \n Una _tabella hash_ è un'array di coppie **chiave-valore**, che formano l'insieme _universo_.\n \n Per determinare l'**indice dell'array** in cui inserire una coppia, usiamo una [funzione _hash_](https://it.wikipedia.org/wiki/Hash#Algoritmo_di_hash) sulla chiave, che restituirà **numeri da \\`0\\` a \\`len(hash_table)\\`**.\n \n ### Risoluzione collisioni\n \n Potrebbe capitare però che **due chiavi diverse abbiano lo stesso indice**. Dobbiamo allora usare un metodo di _risoluzione collisioni_, che mi permetta di distinguere tra chiavi diverse.\n \n #### Lista di trabocco\n \n Possiamo salvare nell'array **liste di coppie** chiave-valore; in caso di collisione, **aggiungo un nuovo elemento alla lista**.\n \n In media, ciascuna di queste liste conterrà \\`elementi_inseriti / dimensione_tabella\\` elementi.\n \n #### Indirizzamento aperto\n \n Possiamo decidere di mettere le coppie che non trovano posto nel loro indice in **un altro indirizzo vuoto** dell'array.\n \n Ci sono diversi modi in cui decidere il nuovo indirizzo, ognuno con vantaggi e svantaggi: si può scegliere quello successivo, oppure il primo vuoto dell'array, oppure un indirizzo casuale.\n \n > Python, nei \\`dict\\`, usa indirizzamento aperto pseudorandom.\n \n ### Costo computazionale\n \n - Aggiungere una chiave: \\`O(n)\\`\n - Trovare una chiave: \\`O(n)\\`\n - Eliminare una chiave: \\`O(n)\\`\n `}\n \n \n {`\n # Programmazione dinamica\n \n La _programmazione dinamica_ è una **tecnica** di programmazione che prevede l'**estensione di una soluzione ottima precedente**.\n \n Tutti i problemi in cui si può applicare si possono risolvere anche con la **ricorsione**, ma a differenza della ricorsione, questa tecnica riesce ad evitare di ricalcolare la soluzione per ogni chiamata ricorsiva, ottenendo quindi tempi molto migliori.\n \n Si può applicare solo se un problema ha una **sottostruttura ottimale**, ovvero se la soluzione ottima di un sottoproblema è inclusa nella soluzione ottima del problema. \n \n ## Esempi\n \n - _Problema dello zaino_\n - ...\n \n > Il cammino minimo per raggiungere un nodo in un DAG è dato da \\`arco.costo + arco.primo_nodo.costo_cammino_minimo()\\`.\n >\n > \\`\\`\\`python\n > def SPD_PD(graph, start):\n > distance = [float(inf) for node in graph.nodes]:\n > distance[start] = 0\n > # I nodi devono essere in ordine di linearizzazione\n > for node in graph.nodes:\n > distance[node] = min([(arc.cost + distance[arc.other(node)] for arc in node.connections])\n > \\`\\`\\`\n \n > Ho una sequenza di interi da \\`a_1\\` a \\`a_n\\`. Voglio trovare la sottosequenza crescente più lunga.\n >\n > 5 2 3 4 7 3 6 3 1 6\n >\n > Trovo tutte le sequenze lunghe 1, e le rendo nodi di un grafo diretto.\n >\n > Da ogni nodo, creo una connessione verso i suoi maggiori.\n >\n > Infine, cerco i cammini massimi del grafo. \n > \n > Essi saranno la soluzione del problema.\n \n > Trova la lunghezza della sottosequenza più lunga che termina con \\`j\\`.\n >\n > \\`L[j]\\` = lunghezza della sottosequenza più lunga che termina in \\`j\\`\n > \n > \\`\\`\\`python\n > L[j] = max([1 + L[node] for arc in node.connections)]\n > \\`\\`\\`\n >\n > Esempio:\n > \\`\\`\\`python\n > L[9] = max([1+L[8], 1+L[3], 1+L[6]])\n > \\`\\`\\`\n `}\n \n \n {`\n # Problema dello zaino\n \n Il problema dello zaino è un problema _pseudo-trattabile_: non abbiamo dimostrazioni di se sia trattabile o intrattabile.\n \n ## Descrizione\n \n > Sei un ladro, e devi mettere **più refurtiva possibile** nello zaino per scappare. \n > Lo zaino può portare **al massimo \\`dim\\` kili**.\n >\n > **Quali** (e quanti) oggetti scegli?\n \n | Input | Output |\n |-------|--------|\n | \\`dim\\`ensione_zaino, \\`n\\`umero_oggetti, \\`oggetto.peso\\`, \\`oggetto.valore\\` | \\`profitto_massimo\\` |\n \n ## Categorie\n \n ### Problema con ripetizione\n \n Puoi prendere **tutte le copie che vuoi** di un oggetto.\n \n #### Soluzione\n \n \\`K(dim)\\` è il valore massimo ottenibile con uno zaino di capacità \\`dim\\`.\n \n > Se \\`i\\` appartenesse alla soluzione ottima, allora \\`K(dim) = i.valore + K(dim - i.peso)\\`...\n \n Possiamo dire che \\`K(dim) = max(i.valore + K(dim - i.peso))\\`.\n \n Inoltre, \\`K(0) = 0\\`.\n \n Ci salviamo tutte le soluzioni da \\`K(0)\\` a \\`K(dim)\\`, e le usiamo per calcolare il massimo in seguito.\n \n Calcolare \\`K(dim)\\` avrà allora un costo di \\`O(n * dim)\\`:\n - \\`n\\`, perchè trovare il massimo è un'operazione lineare\n - \\`dim\\`, perchè \\`dim\\` sono tutti i casi tra i quali devo andare a provare\n \n Il costo computazionale, allora, è in \\`O(n * dim)\\`. \n \n Però, il **tempo richiesto** dal nostro algoritmo dipende non dalla lunghezza dell'input, bensì dal **valore numerico** di \\`dim\\`, che corrisponde alla dimensione dell'array delle soluzioni. \n Allora, si dice che l'algoritmo è in **tempo _pseudo-polinomiale_**.\n \n ### Problema senza ripetizione\n \n Si può prendere **ogni oggetto una volta sola**.\n \n #### Soluzione _bruteforce_\n \n Scelgo se prendere o no l'item 1.\n \n Si creano due percorsi:\n - Non prendo l'oggetto: \\`valore = 0, peso = 0\\`\n - Prendo l'oggetto: \\`valore = oggetto.valore, peso = oggetto.peso\\`\n \n Continuo a creare percorsi, creando una specie di albero binario.\n \n Se a un certo punto vedo che \\`valore = x, peso = K\\` e \\`valore < x, peso = K\\`, allora posso escludere automaticamente tutto il sottoalbero destro, perchè non può essere migliore del sinistro: allora, sarò riuscito a ridurre il numero dei casi rispetto alla ricorsione.\n \n ### Problema in due variabili\n \n \\`K(j, w)\\` = massimo valore ottenibile con uno zaino di capacità \\`w\\` scegliendo gli item da \\`1\\` a \\`j\\`.\n \n Non possiamo più applicare la soluzione bruteforce, perchè abbiamo due variabili, \\`j\\` e \\`w\\`.\n \n Allora, prendo l'elemento \\`j\\`. Esso può essere o non essere nella soluzione: mi calcolo entrambe le alternative, e mi tengo l'alternativa dal valore più alto.\n \n Se \\`j\\` non è nella soluzione, il risultato diventerà \\`K(j-1, w)\\`; se invece è nella soluzione, il risultato sarà \\`j.valore + K(j-1, w-j.peso)\\`.\n \n In pratica, prendiamo\n \n \\`\\`\\`latex\n K(j, w) = max\n \\\\begin{cases}\n V_j + K(j-1, w-w_j)\n K(j-1, w)\n \\\\end{cases}\n \\`\\`\\`\n \n Costruisco allora una matrice con \\`j\\` su un asse e \\`w\\` sull'altro. \n Riempio le caselle con il valore di \\`K(j, w)\\`. \n Nella casella con \\`K(j, w)\\` avremo la soluzione ottima.\n \n Il tempo necessario per riempire tutte le caselle è nuovamente \\`O(n * w)\\`, ancora **pseudopolinomiale**.\n \n Per sapere che oggetti ho messo o no devo tenere traccia in qualche modo della catena del calcolo, usando, ad esempio, una pila.\n `}\n \n \n {`\n # Problemi intrattabili\n \n ## Problema di Set-Cover\n \n ### Input\n \n \\`U\\`niverso di \\`e\\`lementi\n \n \\`S\\`ottoinsieme di \\`s\\`ottoinsiemi di elementi di \\`U\\`\n \n ### Output\n \n Il minimo \\`S'\\`ottoinsieme di \\`s\\`ottoinsiemi che copra completamente \\`U\\`.\n \n ### Soluzione in \\`O(n^d)\\`\n \n Non c'è.\n \n ### Non-soluzione alternativa\n \n Faccio una scelta greedy, ma non posso dimostrare in alcun modo che la soluzione ottenuta sia quella ottima. \n Infatti, l'algoritmo non dà sempre la soluzione ottima, ma dà una soluzione accettabile in tempo polinomiale.\n \n Seleziono sempre il sottoinsieme che copre più elementi mancanti possibili.\n \n #### Costo computazionale\n \n \\`Costo greedy <= log(numero_elementi) * Costo ottimo\\`\n `}\n \n
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Cormen, C. E. Leiserson, R. L. Rivest, C. Stein_ - - **[Dolly (FIM)](https://dolly.fim.unimore.it/2018/course/view.php?id=26)** - - ### Tutorato - - Tutor: [**Gianluca d'Addese**](mailto:tutoratoalgoritmi@gmail.com) - - Cosa: **Esercizi sugli argomenti visti a lezione** e **preparatori all'esame** - - Quando: **Mercoledì dalle 09:00 alle 11:00**...? - - ### Esame - - Per iscriversi all'esame, bisogna aver passato: - - - Analisi matematica (propedeutica) - - Programmazione I - - Formato: - - - Prima prova scritta - - Risolvere problemi con algoritmi proposti a lezione - - E' un test sulla preparazione - - Dura 1h30m - - Non si può usare nessun tipo di materiale - - Seconda prova scritta - - Proponi soluzioni per nuovi problemi non studiati a lezione - - Domande teoriche sugli argomenti studiati - - Dura 2h - - E' il giorno dopo la prima prova - - Si può utilizzare qualsiasi materiale, ma non deve permettere di comunicare - - Orale facoltativo - - Solo per chi supera entrambi gli scritti - - Domande su quello che abbiamo visto a lezione ("perchè gli algoritmi funzionano?") - - Informare via email entro 3 giorni dalla pubblicazione degli esiti della seconda prova - - L'orale potrebbe migliorare o peggiorare il voto (anche "molto") - - **Attenzione:** Vengono verbalizzati anche i voti insufficienti; ricordarsi di rifiutarli! - - Ci sono i seguenti appelli: - - - 3 appelli tra Giugno e Luglio - - 1 appello a Settembre - - 2 appelli a Gennaio e Febbraio - - Vale il salto di appello se: - - - Uno studente regolarmente iscritto **non si presenta** all'appello e non ha avvisato via email almeno il giorno prima. - - Uno studente ha riportato una **grave insufficienza** in uno dei due scritti, e l'appello successivo è nella stessa sessione - - - ### Note - - Il corso è ben collegato con quello di Programmazione 2. - - Dormire non fa bene! - `)))),n(a.a,null,n(o.a,null,"\n # Il nome del corso\n\n ## Cosa sono gli algoritmi?\n\n Gli algoritmi sono modi sistematici per risolvere problemi.\n\n Sono fondamentali per sviluppare software, in quanto i computer sono eccellenti esecutori di algoritmi.\n\n ## Come si sviluppa un algoritmo?\n\n Innanzitutto, bisogna conoscere gli _input_ e gli _output_ del problema, rispettivamente i dati di partenza e i dati di arrivo di esso; si ha quindi una fase di **ricerca**.\n\n Poi, si deve trovare un procedimento che ci faccia risolvere il nostro problema: è quello che faremo in questa materia!\n\n Infine, bisogna scrivere la soluzione in un modo che possa essere eseguita da un computer: questa è la **programmazione**.\n\n ## Che tipo di problemi possiamo risolvere?\n\n Un algoritmo risolve problemi di tipo generale, non ci interessa sapere _il risultato di 123+456_, ma vogliamo sapere _il risultato di x+y_, dove x e y sono due numeri naturali qualsiasi.\n\n Un problema può essere quindi considerato circa come una **funzione matematica**, che connette ogni input a un output corrispondente.\n\n ## Che caratteristiche ha un algoritmo?\n\n Per prima cosa, ripetendo l'algoritmo più volte con lo stesso ingresso deve dare sempre la stessa uscita come **risultato**, finendo in un **tempo finito**.\n\n Deve essere **ben ordinato**: cambiando l'ordine in cui vengono effettuate le operazioni, è probabile che anche il risultato cambi!\n\n Le sue istruzioni devono essere **non ambigue**, cioè che non possano essere interpretate in più modi, e **effettivamente realizzabili**, cioè realizzabili con l'esecutore che vogliamo usare per eseguire l'algoritmo.\n\n ## Esistono algoritmi equivalenti?\n\n **Sì!** Possono esserci due algoritmi che dati gli stessi input, hanno gli stessi output, e quindi risolvono lo stesso problema.\n\n In compenso, possono avere un numero di operazioni diverse, e quindi essere **uno più veloce** (da eseguire) dell'altro.\n\n ## Come si verifica la correttezza di un algoritmo?\n\n L'algoritmo deve essere **valido per tutti gli input**, anche se questi sono infiniti.\n\n Possiamo effettuare prove matematiche per verificarne la correttezza; il **principio di induzione** è dunque una dei teoremi fondamentali dell'algoritmica.\n\n Possiamo però verificare la _non correttezza_ di un algoritmo trovando un singolo controesempio.\n ")),n(a.a,null,n(o.a,null,"\n # Efficienza degli algoritmi\n \n Un buon algoritmo deve essere **efficiente**, ovvero deve usare il minimo delle risorse necessarie, come _usare il minimo di tempo possibile_.\n \n ## Come misuriamo il tempo necessario?\n \n Cerchiamo di astrarre il tempo dal particolare esecutore, e andiamo a contare il numero di operazioni elementari richieste per eseguire il nostro algoritmo nel caso peggiore.\n \n Un algoritmo efficiente, infatti, all'aumentare dei dati in ingresso, diventerà sempre più veloce rispetto a uno non efficiente, anche su computer più lenti!\n \n > Il [Bubble Sort](https://en.wikipedia.org/wiki/Bubble_sort) è sempre più lento di un [Tree Sort](https://en.wikipedia.org/wiki/Tree_sort), anche su computer più lenti, perchè, dovendo ordinare liste sempre più lunghe, prima o poi si raggiunge un punto in cui il primo è più veloce (in termini di tempo) dell'altro.\n \n Dobbiamo andare a vedere, quindi, _il numero di operazioni richieste per ottenere il risultato nel caso peggiore_.\n \n Consideriamo operazioni sia operazioni aritmetiche sia operazioni logiche, e diciamo che ciascuna costa 1.\n \n > L'[algoritmo di Euclide](https://it.wikipedia.org/wiki/Algoritmo_di_Euclide) per l'MCD costa `3` per ogni iterazione (un giro del ciclo `while`). Diciamo, allora, che costa `3n`, dove `n` è il numero più alto dei due, perchè nel caso peggiore (uno dei due numeri è 1) l'algoritmo compie `n` iterazioni.\n \n ## Altri parametri ottimizzabili\n \n È possibile che alcuni algoritmi per vari motivi cerchino di ottimizzare altri parametri diversi dal tempo, come ad esempio _la dimensione dell'input_ o la _memoria utilizzata_. \n \n > Generalmente, questo viene fatto sui dispositivi embedded, con memoria molto limitata.\n \n ### Criteri di costo di memoria\n \n Ci sono vari criteri con cui stimare la memoria richiesta da un dato: è possibile che il costo risultante vari in base al criterio scelto!\n \n #### Criterio di costo logaritmico\n \n Un dato costa il numero di bit necessari per rappresentarlo.\n \n > Un int che contiene il numero `n` costa `log_2(n)`. \n > Un array di `[n]` numeri tutti uguali costa `n log_2(n)`.\n \n #### Criterio di costo uniforme\n \n Un dato costa il numero di elementi che lo costituiscono.\n \n > Un int che contiene il numero `n` costa `1`. \n > Un array di `[n]` numeri costa `n`. \n > Una matrice `[m][n]` costa `m*n`.\n ")),n(a.a,null,n(o.a,null,"\n # Modelli algoritmici\n\n Per progettare un algoritmo, abbiamo bisogno di sapere le proprietà del nostro esecutore, ovvero il suo _modello algoritmico_.\n \n > Ad esempio, dobbiamo sapere quali istruzioni è in grado di eseguire, e quanto tempo queste istruzioni richiedono.\n \n ## Il modello RAM\n \n Il modello in uso su tutti i computer attuali è il _modello RAM_: \n \n - In ogni cella di memoria può essere archiviato un dato.\n - Il **tempo di accesso** alle celle è **costante** per tutte le celle.\n - La **memoria** principale è **infinita**.\n - Si ha **un solo processore**.\n ")),n(a.a,null,n(o.a,null,'\n # Notazione asintotica\n \n La _notazione asintotica_ è un sistema per **stimare** velocemente il costo di un algoritmo complesso.\n \n Ci permette di **confrontare velocemente il caso peggiore** degli algoritmi.\n \n In particolare, consideriamo il _rapporto tra il numero di operazioni nel caso peggiore e la dimensione dell\'input_.\n \n ## Limiti\n \n Possiamo dare a questa stima dei limiti, superiore e inferiore, che rappresenteranno rispettivamente un costo che non sarà **mai superato** e un costo che verrà **sempre superato**.\n \n Chiameremo questi limiti _upper bound_ e _lower bound_; la loro combinazione darà un _tight bound_.\n \n L\'obiettivo sarà di _ricavare i bound più precisi possibile_ per un dato algoritmo, ovvero l\'**upper bound più basso** e il **lower bound più alto**.\n \n ### O grande\n \n > "O grande" \n > O di g(n)\n > "big-O"\n \n Per rappresentare la stima, useremo una notazione particolare, detta _O grande_, con la seguente proprietà:\n - Date due funzioni `f(n) : N -> R` e `g(n) : N -> R`, diremo che `f(n) ∈ O(g(n))` se e soltanto se `∃ c > 0, n ≥ n_0` tali che `∀ n ≥ 0, f(n) ≤ c * g(n)`\n \n Quando una funzione è O grande di un altra, significa che **asintoticamente, la funzione in O grande è sempre maggiore di quella che sta venendo stimata**.\n \n > **Ipotesi** \n > - `f(n) = 2n² + 3n + 6` \n > - `g(n) = n²`\n >\n > **Tesi** \n > - `f(n) ∈ O(n²)`.\n >\n > **Svolgimento** \n > Scrivo una disequazione, lasciando intatto il termine noto: \n > 1. `2n² + 3n + 6 ≤ 2n² + 3n² + 6` \n > 2. `n² ≤ 2n² + 3n² + n² = 6n²` per `n ≥ 3`\n >\n > Sappiamo, allora, che `2n² + 3n + 6 ≤ 6n²`.\n \n #### Espressioni di O grande\n \n Questa tabella rappresenta le espressioni di O grande più comunemente utilizzate, in ordine **dalla più forte alla più debole**.\n \n > Più forte significa che, per ogni riga della tabella, tutte le righe sottostanti sono contenute nell\'espressione.\n >\n > Ad esempio, `O(n) ∈ O(1)`.\n \n | Espressione O() | Nome |\n |-----------------|------|\n | `O(1)` | Costante |\n | `O(log log n)` | loglog |\n | `O(log n)` | Logaritmica |\n | ![LaTeX](https://latex.codecogs.com/png.latex?O(n^{1/c})) (per c ≥ 1) | Sublineare |\n | `O(n)` | Lineare |\n | `O(n log n)` | nlogn |\n | `O(n²)` | Quadratica |\n | `O(n³)` | Cubica |\n | `O(n^k)` (per k ≥ 1) | Polinomiale |\n | `O(a^n)` (per a ≥ 1) | Esponenziale |\n | `O(n!)` | Fattoriale |\n \n #### Polinomiale\n \n Molto spesso, noteremo che il tempo richiesto da una funzione è O grande di un polinomio di grado K, ovvero `f(n) ∈ O(n^k)`.\n \n Notiamo che in questi casi, possiamo semplificare l\'O grande al grado massimo del polinomio.\n \n > Ad esempio, `O(n² + n + 1) = O(n²)`.\n \n ##### Dimostrazione\n \n Per `n > 0 \\and 0 ≤ i ≤ k`: \n ![LaTeX](https://latex.codecogs.com/png.latex?a_k%20n^k%20+%20a_{k-1}%20n^{k-1}%20+%20%E2%80%A6%20+%20a_1%20n%20+%20a_0%20%E2%89%A4%20|a_k|%20n^k%20+%20|a_{k-1}|%20n^k%20+%20%E2%80%A6%20+%20|a_1|%20n^k%20+%20|a_0|%20n^k%20=%20(|a_k|%20+%20|a_{k-1}|%20+%20%E2%80%A6%20+%20|a_1|%20+%20|a_0|)%20n^k)\n \n #### Proprietà di O grande\n \n 1. `f(n) ∈ O(g(n)) -> ∀ a > 0, a * f(n) ∈ O(g(n))`.\n 2. `f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) + d(n) ∈ O(g(n) + h(n)) -> O(max\\{g(n), h(n)\\})`\n 3. `f(n) ∈ O(g(n)), d(n) ∈ O(h(n)) -> f(n) * d(n) ∈ O(g(n) * h(n))`\n \n In pratica, se una funzione è la _somma di più termini_, basta guardare l\'**`O()` più grande** tra tutti i suoi termini; se invece una funzione è un _prodotto di più termini_, si possono **omettere le costanti**, e l\'`O()` finale sarà dato dal **prodotto degli `O()`** dei termini.\n \n ## Lower bound\n \n Possiamo anche stimare il _lower bound_, il limite inferiore: il **numero minimo di operazioni** che viene effettuato **nel caso migliore** con la **massima dimensione dell\'ingresso**.\n \n ### Ω()\n \n > "Omega" \n > Omega di g(n)\n > "big-Omega"\n \n Esiste un equivalente di O grande per il lower bound: è detto _Omega grande_, o più semplicemente _Omega_, e funziona nello stesso identico modo, solo... al contrario.\n \n Diremo che `f(n) ∈ Ω(g(n))` se e solo se `∃ c > 0, n_0 ≥ 0 : ∀ n ≥ n_0 f(n) ≥ c * g(n)`.\n \n #### Espressioni di Ω()\n \n Anche in questa tabella le espressioni sono **dalla più forte alla più debole**.\n \n | Espressione Ω() | Nome |\n |-----------------|------|\n | `Ω(n!)` | Fattoriale |\n | `Ω(a^n)` (per a ≥ 1) | Esponenziale |\n | `Ω(n^k)` (per k ≥ 1) | Polinomiale |\n | `Ω(n³)` | Cubica |\n | `Ω(n²)` | Quadratica |\n | `Ω(n log n)` | nlogn |\n | `Ω(n)` | Lineare |\n | ![LaTeX](https://latex.codecogs.com/png.latex?\\Omega(n^{1/c})) (per c ≥ 1) | Sublineare |\n | `Ω(log n)` | Logaritmica |\n | `Ω(log log n)` | loglog |\n | `Ω(1)` | Costante |\n \n ## Tight bound\n \n Quando **upper e lower bound coincidono**, allora otteniamo un _tight bound_.\n \n ### θ()\n \n > "Theta" \n > Theta di g(n)\n > "big-Theta"\n \n Anche per il tight bound abbiamo una notazione equivalente a O grande e Omega grande: _Theta grande_!\n \n Diciamo che `f(n) ∈ θ(g(n))` se e solo se `∃ c_1, c_2 > 0, n_0 ≥ 0 : ∀ n ≥ n_0, c_1 * g(n) ≤ f(n) ≤ c_2 * g(n)`.\n \n Ha la particolarità che non valgono tutte le proprietà degli altri due: va usata quindi con cautela!\n \n ## Risorse utili\n \n [khanacademy.org](https://www.khanacademy.org/computing/computer-science/algorithms/asymptotic-notation/a/big-big-theta-notation)\n ')),n(a.a,null,n(o.a,null,"\n # Problemi algoritmici\n \n Un _problema algoritmico_ è un problema matematico che si vuole provare a risolvere con un algoritmo.\n \n > Dati 10 numeri, voglio sapere se sono in ordine crescente oppure no.\n \n ## Caterigorizzazione\n \n I problemi algoritmici si dividono in tre categorie: problemi _trattabili_, problemi _intrattabili_ e problemi _irrisolvibili_.\n \n ### Problema trattabile\n \n Perchè un problema algoritmico sia _trattabile_, deve avere **almeno un algoritmo con upper bound polinomiale**.\n \n > Questo significa che il tempo impiegato da un computer per risolvere il problema rimane ragionevole, e che quindi può essere utilizzato in maniera efficiente.\n \n La trattabilità è un campo ancora parecchio aperto: esistono anche tanti problemi di cui non si è ancora dimostrata la trattabilità o intrattabilità.\n \n > La [fattorizzazione](https://it.wikipedia.org/wiki/Fattorizzazione) è uno di questi problemi: l'assenza di una dimostrazione è ciò che la rende uno dei pilastri della sicurezza informatica moderna.\n \n ### Problema intrattabile\n \n Se **un problema non ha nessun algoritmo con upper bound polinomiale**, allora si dice che è **intrattabile**.\n \n ### Problema irrisolvibile\n \n Se **non esistono algoritmi per risolvere un problema**, allora questo si dice **irrisolvibile**.\n \n > [Dato un algoritmo con certi input, riusciamo a capire con un algoritmo se la sua esecuzione termina o no?](https://en.wikipedia.org/wiki/Halting_problem)\n \n ### Upper e lower bound di problemi\n \n Si può anche trovare un _upper bound_ e un _lower bound_ per un problema, ma bisogna generalizzare di più.\n \n L'**upper bound di un problema** è il minimo upper bound di tutti gli algoritmi che lo risolvono; deve esistere almeno un algoritmo che lo risolva che abbia lo stesso _upper bound_. E' praticamente il tempo migliore per risolvere il problema dato.\n \n Il **lower bound di un problema** è il minimo lower bound di tutti gli algoritmi che lo risolvono; non deve esistere nemmeno un algoritmo che abbia un lower bound migliore. E' il numero assolutamente minimo di operazioni richieste, non si può fare meglio di così.\n \n In particolare, abbiamo che l'_upper bound di un algoritmo_ -> l'_upper bound del suo problema_, \n e il _lower bound di un problema_ -> il _lower bound di un suo algoritmo_.\n \n Generalmente, il _lower bound di un problema_ è una rappresentazione abbastanza accurata della sua difficoltà.\n ")),n(a.a,null,n(o.a,null,"\n # Ricerca binaria\n \n Non credo di aver bisogno di studiare la ricerca binaria, quindi non ho preso appunti a riguardo.\n \n Se non siete me, e state cercando informazioni a riguardo, andate a vedere su Wikipedia!\n ")),n(a.a,null,n(o.a,null,"\n # Divide et impera\n \n Un modo efficace per risolvere un problema è di usare il metodo _divide et impera (et combina)_.\n \n - _Divide_: Divido il problema in **tanti sottoproblemi**.\n - _Impera_: **Risolvo indipendentemente dal resto** ciascuno dei sottoproblemi.\n - _Combina_: **Combino** i risultati dei sottoproblemi per **risolvere il problema principale**.\n \n ## Ricorsione\n \n Un algoritmo (o funzione) si dice _ricorsivo_ quando durante l'esecuzione **richiama sè stesso**.\n \n Dato che tutti gli algoritmi devono avere termine entro un tempo finito, se scriviamo una funzione ricorsiva è fondamentale finire con un **caso base**, che non chiami ulteriormente la ricorsione.\n \n Se esiste una funzione ricorsiva, allora esiste _sempre_ una _funzione iterativa_ che darà lo stesso risultato.\n \n > Sul pratico, una funzione ricorsiva tipicamente è **più costosa** del suo equivalente iterativo: se possibile, quindi, la ricorsione andrebbe evitata.\n \n #### Pseudocodice di esempio\n \n ```python\n def fattoriale(n):\n # Caso base; la ricorsione finisce e dà un risultato fisso\n if n <= 1:\n return 1\n # Caso ricorsivo; la funzione restituisce il risultato di sè stessa (ma con parametri diversi)\n else:\n return n * fattoriale(n - 1)\n ```\n ")),n(a.a,null,n(o.a,null,"\n # Master Theorem\n \n Il _Master Theorem_ è uno dei teoremi più importanti dell'algoritmica.\n \n Esso permette di **calcolare l'upper bound di un algoritmo ricorsivo** in modo piuttosto semplice.\n \n ## Ipotesi\n \n Dato un algoritmo:\n - Con uno o più casi base\n - Che richiama la funzione ricorsiva un numero n di volte\n \n ## Tesi\n \n Allora, il suo upper bound avrà la formula:\n \n ![](https://quicklatex.com/cache3/89/ql_08d29a7e55d561a900570bc83b93ff89_l3.png)\n ")),n(a.a,null,n(o.a,null,"\n # Caso particolare del Master Theorem\n \n ## Ipotesi\n \n Se: \n ![](https://quicklatex.com/cache3/57/ql_e34dc27b42831d3c3ff671b0f3861257_l3.png)\n \n Ovvero, se la dimensione dell'input viene divisa ad ogni ciclo da una costante b, è polinomiale e il caso base è costante...\n \n ## Tesi\n \n Allora: \n ![](https://quicklatex.com/cache3/ca/ql_26e3557a6ca2d6ac4b8481e7c5263fca_l3.png)\n \n > In pratica, se il costo dominante è quello della parte \"fissa\" dell'algoritmo, esso sarà `O(n^d)`, mentre se il costo dominante è quello delle chiamate ricorsive, esso sarà `O(n^{log_b e})`. \n > Se nessuno dei due è dominante... si dividono circa in parti uguali, creando un costo di `O(n^d log n)`.\n ")),n(a.a,null,n(o.a,null,"\n # Ordinamento\n \n Un problema molto frequente nell'informatica consiste nell'**ordinare efficientemente grandi quantità di elementi**.\n \n Esistono [tantissimi](https://it.wikipedia.org/wiki/Algoritmo_di_ordinamento) algoritmi per effettuare l'ordinamento. \n L'**efficienza** di ciascuno **varia** di caso in caso: alcuni sono estremamente efficienti se quasi tutti i numeri sono già nell'ordine giusto; altri, invece, potrebbero impiegare tantissimo tempo.\n \n In termini matematici, abbiamo:\n \n - **Input:** A[n]\n - **Output:** B, ∀ i < n, A[i] ≤ A[i+1]\n \n ## Ordinamento tramite confronto\n \n L'ordinamento \"tradizionale\" è detto _ordinamento tramite confronto_: funziona sempre, e **non ha altri modi di ottenere informazioni** se non con l'operazione logica di confronto tra i dati.\n \n ### Limiti\n \n E' un problema risolto: è dimostrabile che il suo **lower bound** è **`Ω(n log n)`**; possiamo quindi dire che qualsiasi algoritmo di ordinamento è in `Ω(n log n)`, e se riusciamo a trovare un algoritmo di ordinamento in `O(n log n)` siamo riusciti a raggiungere il massimo dell'efficienza.\n \n #### Dimostrazione\n \n Consideriamo **tutte le possibili permutazioni** della sequenza da ordinare: sono `n!`.\n \n Per ogni confronto che effettuiamo, **riduciamo la quantità di permutazioni** correttamente ordinate; prima o poi, rimarrà **una sola possibilità**.\n \n **TODO, non trovo la spiegazione corretta!**\n \n ### Esempi\n \n Algoritmi che effettuano l'ordinamento tramite confronto sono:\n - _Bubble sort_\n - _Merge sort_\n - _Insertion sort_\n - _Quick sort_\n - _Heap sort_\n - E tanti, tanti altri!\n \n ## Ordinamento con altri mezzi\n \n Esistono algoritmi che ricavano informazioni in altri modi, diversi dal confronto.\n \n Essi possono avere un lower bound più basso di `O(n log n)`, però hanno spesso limitazioni sul loro utilizzo.\n \n ### Esempi\n \n - _Counting sort_, indicizza i valori da ordinare\n - _Radix sort_, guarda singolarmente le cifre dei valori\n - _Sleep sort_, sfrutta i thread e la funzione sleep per ordinare valori\n - E altri ancora!\n ")),n(a.a,null,n(o.a,null,"\n # Insertion sort\n \n L'_insertion sort_ è una soluzione **iterativa** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Considero la sequenza divisa in **due parti**: una parte **ordinata** e una parte **non ordinata**.\n \n Parto dal primo elemento della lista: è sempre ordinato con sè stesso. \n Poi, aggiungo uno alla volta i numeri della parte non ordinata a quella ordinata; prima trovo in quale posizione dovrò andare a mettere il numero, poi **faccio slittare tutti i numeri dopo quella posizione** avanti di 1, in modo da **creare lo spazio** in cui infine **inserirò** il numero.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n²)` | `Ω(n)` | - |\n \n Nel _caso migliore_ (**lista già ordinata**), il numero da inserire è già nella posizione giusta, quindi non devo effettuare altri confronti oltre il primo, rendendo il lower bound dell'algoritmo `Ω(n)`.\n \n Nel _caso peggiore_ (**lista nell'ordine inverso**), dobbiamo confrontare il numero da inserire con tutti gli altri nella parte ordinata: dobbiamo allora eseguire `1+2+3+4+5+… = \\frac{(n-1)(n)}{2}` confronti; ciò significa che l'upper bound è `O(n²)`!\n \n ## Pseudocodice\n \n ```python\n def insertion_sorted(lista):\n # Itero su tutti i numeri della lista, dal primo all'ultimo.\n for divisore_ord in range(len(lista)):\n # Partendo dalla posizione attuale, creo l'indice di divisione numeri ordinati maggiori e minori\n divisore_magg = divisore_ord\n # Faccio slittare avanti i numeri maggiori di quello che stiamo inserendo\n # Se l'indice divisore_magg raggiunge 0, vuol dire che tutti i numeri della lista sono maggiori del numero attuale \n while divisore_magg >= 0 and lista[divisore_magg-1] > lista[divisore_magg]:\n # Scambio la posizione dei due elementi con gli indici specificati\n # Funzione inventata \n lista[divisore_magg], lista[divisore_magg-1] = lista[divisore_magg-1], lista[divisore_magg]\n # Diminuisco il separatore di 1\n divisore_magg -= 1\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting)\n ")),n(a.a,null,n(o.a,null,"\n # Merge sort\n \n Il _merge sort_ è una soluzione **ricorsiva** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Per questo algoritmo, utilizziamo la tecnica del **divide et impera**.\n \n 1. _Divide_: Divido A in **due parti**.\n 2. _Impera_: Metto **separatamente in ordine** le parti.\n 3. _Unisci_: **Unisco** le due parti.\n \n Consideriamo come **caso base** della ricorsione una parte composta da un numero, che ovviamente è già ordinata con sè stessa.\n \n ### Merge\n \n Per **unire le due parti** usiamo una funzione detta `merge()`.\n \n Costruiamo una nuova sequenza uguale alla sequenza 1, ma **aggiungiamo alla fine un valore sentinella** sempre maggiore di tutti gli elementi contenuti.\n \n > ```\n > | 1 | 3 | 7 | 8 | ∞ |\n > ```\n \n Facciamo **la stessa cosa** per la sequenza due.\n \n > ```\n > | 2 | 4 | 5 | 6 | ∞ |\n > ```\n \n Prendo i primi numeri delle due sequenze e **metto il più piccolo nella sequenza iniziale**.\n \n > ```\n > | 1 | 2 | 3 | | | | | | \n > | | | 7 | 8 | ∞ | \n > | | 4 | 5 | 6 | ∞ | \n > ```\n \n **Continuo** finchè non ho messo tutti i numeri; **grazie alla sentinella non usciremo mai dalla sequenza**, in quanto essa è sempre maggiore di tutti gli altri numeri.\n \n > ```\n > | 1 | 2 | 3 | 4 | 5 | 6 | | | \n > | | | 7 | 8 | ∞ | \n > | | | | | ∞ |\n > ```\n \n Quando **rimangono solo le sentinelle** significa che abbiamo aggiunto tutti gli elementi, e quindi abbiamo finito.\n \n > ```\n > | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | \n > | | | | | ∞ | \n > | | | | | ∞ | \n > ```\n \n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n log n)` | `Ω(n log n)` | **`θ(n log n)`** |\n \n Il merge sort è un algoritmo ricorsivo con un **caso base in tempo costante** e che **richiama sè stesso 2 volte**.\n \n ```latex\n T(n) =\\\\\n \\\\\n Θ(1) \\qquad n=1\\\\\n 2 T(\\frac{n}{2}) + Θ(n) \\qquad n \\neq 1\n ```\n \n Applicando il **caso particolare del Master Theorem**, otteniamo:\n \n ```latex\n T(n) =\\\\\n \\\\\n Θ(1) \\qquad n=1\\\\\n Θ(n log n) \\qquad n \\neq 1\n ```\n \n ## Pseudocodice\n \n ```python\n def merge_sorted(part):\n # Caso base\n if len(part) == 1:\n return part\n # Divide\n middle = len(part) // 2\n part_a = part[:middle]\n part_b = part[middle:]\n # Impera\n sort_a = merge_sorted(part_a)\n sort_b = merge_sorted(part_b)\n # Combina\n return merge(sort_a, sort_b)\n ```\n \n ## Visualizzazione\n \n [hackerearth.com](https://www.hackerearth.com/practice/algorithms/sorting/merge-sort/visualize/)\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: visualizza solo la fase _Unisci_ del sort)\n ")),n(a.a,null,n(o.a,null,"\n # Quick sort\n \n Il _quick sort_ è un altro approccio **ricorsivo** all'ordinamento per confronto.\n \n ## Funzionamento\n \n Anche qui, applichiamo il **divide et impera**.\n \n 1. _Divide_: Scelgo un **pivot** qualsiasi all'interno della lista. Metto alla sua **sinistra tutti i numeri minori** e alla sua **destra tutti i numeri maggiori**.\n 2. _Impera_: Eseguo un **quick sort su entrambe le sottoliste**.\n \n ### Esempi\n \n #### Iterazione con partizioni bilanciate\n \n Osserviamo come si formi una partizione con tre elementi e una con quattro. \n \n ```\n |¦ [2] 8 7 1 3 5 6 {4}\n 2 |¦ [8] 7 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 ¦ [7] 1 3 5 6 {4}\n 2 |8 7 ¦ [1] 3 5 6 {4}\n 2 1 |7 8 ¦ [3] 5 6 {4}\n 2 1 3 |8 7 ¦ [5] 6 {4}\n 2 1 3 |8 7 5 ¦ [6] {4}\n 2 1 3 |8 7 5 6 ¦ [{4}]\n [2 1 3] {4} [8 5 6 7]\n ```\n \n #### Iterazione con partizioni sbilanciate\n \n Osserviamo come si formi una partizione con **zero elementi** e una con tre.\n \n ```\n |¦ [4] 7 3 {1}\n |4 ¦ [7] 3 {1}\n |4 7 |¦ [3] {1}\n |4 7 3 |¦ [{1}]\n [] {1} [4 7 3]\n ```\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n²)` | `Ω(n log n)` | - |\n \n Il costo della funzione è dato dalla somma del costo per **dividere in due partizioni** con il costo per realizzare il **Quick sort delle due sottopartizioni**\n \n Possiamo applicare allora il **Master Theorem generale**:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n T(q) + T(dim_lista - pivot - 1) + Θ(n) \\qquad per\\ n > 1\n ```\n \n ### Il caso migliore\n \n Se il pivot `q` è la **mediana della partizione** che stiamo ordinando, si vengono a creare due _sottopartizioni bilanciate_, e sostituendo otteniamo:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n 2 T(\\frac{n}{2}) + Θ(n) \\qquad per\\ n > 1\n ``` \n \n Possiamo allora applicare il **Master Theorem particolare**:\n \n ```latex\n T(n)\\\\\n =\\\\\n Θ(1) \\qquad per\\ n = 1\\\\\n Θ(n log n) \\qquad per\\ n > 1\n ```\n \n ### Il caso peggiore\n \n Se il pivot è uno degli **estremi dell'array**, si creano due _partizioni sbilanciate_: una delle due sottoliste è sempre vuota! \n Allora:\n \n ```latex\n T(n) = T(n-1) + Θ(n)\\\\\n = T(n-2) + Θ(n-1) + Θ(n)\\\\\n = T(n-3) + Θ(n-2) + Θ(n-1) + Θ(n)\\\\\n = …\n ∈ Θ(n^2)\n ```\n \n > \"Non date da mangiare sequenze ordinate al Quicksort, gli sono indigeste.\"\n \n ## Pseudocodice\n \n ```python\n def partition(partizione, inizio, fine):\n \"\"\"Dividi una partizione in due, usando l'ultimo elemento come pivot.\n \n Note utili:\n partizione[fine] è il pivot\n partizione[maggiori] è il primo numero dei maggiori\n partizione[non_iterati] è l'elemento su cui si sta iterando al momento\"\"\"\n # Crea il primo separatore (la | pipe nell'esempio)\n maggiori = inizio\n # Crea il secondo separatore (la ¦ broken pipe nell'esempio)\n non_iterati = inizio\n # Itera su ogni numero tra inizio e fine (escluso!)\n while non_iterati < fine:\n # Se l'elemento su cui stiamo iterando è minore del pivot\n if partizione[non_iterati] <= partizione[fine]:\n # Mettilo nell'insieme dei minori, scambiandolo con il primo numero dei maggiori e incrementando il primo separatore\n partizione[maggiori], partizione[non_iterati] = partizione[non_iterati], partizione[maggiori]\n maggiori += 1\n # Incrementa sempre il secondo separatore\n non_iterati += 1\n # Inserisci il pivot tra le due sottopartizioni create, \n partizione[fine], partizione[non_iterati] = partizione[non_iterati], partizione[fine]\n return maggiori\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/bn/sorting) (Nota: invece che prendere l'ultimo numero come pivot prende il primo, cambiando leggermente l'algoritmo.)\n \n ## Note per l'esame\n \n > La domanda che fa sempre è **\"Qual è la sequenza di pivot utilizzata?\"**\n \n > Elementi da soli _non_ vengono presi come pivot!\n ")),n(a.a,null,n(o.a,null,'\n # Counting sort\n\n Il _counting sort_ è un approccio diverso all\'ordinamento: **non usa il confronto**!\n \n ## Requisiti\n \n Il counting sort può essere utilizzato solo su **sequenze di numeri interi**, e solo se **siamo a conoscenza del minimo e del massimo** dei numeri contenuti nell\'array, ed essi non sono troppo distanti uno dall\'altro. \n (La memoria occupata dal counting sort aumenta linearmente con la differenza tra minimo e massimo!)\n \n Per semplicità, consideriamo il **minimo `0`**. \n L\'input allora sarà una sequenza di interi `A`, e il valore del **massimo `k`**, tale che `∀ n ∈ A, 0 \\leq n \\leq K`.\n \n ## Funzionamento\n \n Il counting sort **conta le ripetizioni** delle chiavi nella sequenza originale e in seguito **sovrascrive i valori** della sequenza con i valori ordinati ripetuti il numero di volte che sono stati individuati nella sequenza.\n \n > ```\n > 1 4 5 3 4 1 4 2 5 1\n > ```\n >\n > L\'`1` appare 3 volte, il `2` 1 volta, il `3` 1 volta, il `4` tre volte e il `5` due volte.\n >\n > La sequenza viene quindi così sovrascritta:\n > ```\n > 1 1 1 3 4 1 4 2 5 1 # Sovrascriviamo la sequenza con 1 ripetuto 3 volte\n > 1 1 1 2 3 4 4 4 5 1 # Sovrascriviamo la sequenza con 2, 3, 4 ripetuti rispettivamente 1 1 e 3 volte\n > 1 1 1 2 3 4 4 4 5 5 # Sovrascriviamo la sequenza con 5 ripetuto 2 volte: abbiamo finito!\n > ``` \n \n Esiste anche una **versione stabile** del counting sort che, invece che sovrascrivere, **sposta i valori**, mantenendo le informazioni aggiuntive nel caso invece che interi fossero altri tipi di dati.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(k + n)` | `Ω(k + n)` | **`θ(k + n)`** |\n \n L\'algoritmo è composto da quattro parti:\n - Ricerca del minimo e massimo (in `θ(n)`)\n - Inizializzazione dell\'indice (in `θ(k)`)\n - Conteggio dei numeri (in `θ(n)`)\n - Sovrascrittura dei numeri (in `θ(k + n)`)\n \n `2 + O(k) + O(n) + O(k + n) -> O(k + n)`\n \n Notiamo che `k` è costante, l\'algoritmo è `O(n)`, estremamente efficiente.\n \n ## Pseudocodice\n \n ```python\n def counting_sort(lista: typing.List[int]):\n """Ordina in-place una lista con il counting sort."""\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all\'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l\'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Sovrascrivo i numeri nella lista\n count = 0\n for pos, val in enumerate(indice):\n for _ in range(val):\n indice[count] = pos\n count += 1\n \n def stable_counting_sorted(lista: typing.List[int], k: int) -> typing.List[int]:\n """Ordina stabilmente una lista con il counting sort stabile, e restituiscila."""\n # Trovo la dimensione della lista\n dim = len(lista)\n # Trovo il massimo e il minimo all\'interno della lista\n minimo = min(lista)\n massimo = max(lista)\n # Creo l\'indice dei numeri, in modo che sia lungo k e pieno di 0\n indice = [0 for _ in range(minimo, massimo+1)]\n # Conto i numeri presenti, scorrendo su lista e aggiungendo 1 al numero corrispondente\n for i in range(dim):\n indice[lista[i]] += 1\n # Faccio diventare l\'indice "il numero di numeri \\leq i"\n for i in range(len(indice)):\n if i == 0:\n continue\n indice[i] += indice[i-1]\n assert indice[-1] == dim\n # Creo una nuova lista, che sarà quella che verrà restituita\n nuova = [None for _ in range(dim)]\n # Inizio a posizionare i numeri, al contrario\n for i in range(0, dim, -1):\n nuova[indice[lista[i]]] = lista[i]\n indice[lista[i]] -= 1\n return nuova\n ```\n ')),n(a.a,null,n(o.a,null,"\n ## Introduzione alle Strutture Dati\n\n Una _struttura dati_ è un modo in cui si possono organizzare i dati di un programma.\n \n Si possono definire in due modi: **elementari** e **astratte**.\n \n ### Strutture dati elementari\n \n Le strutture _elementari_ dipendono strettamente dal modo in cui vengono memorizzati i dati.\n \n > **Array** e **liste** sono strutture dati elementari: sono definite dicendo come sono memorizzati i dati, rispettivamente, in celle contigue di memoria e da una serie di nodi con un valore e che puntano al successivo.\n \n ### Strutture dati astratte\n \n Le strutture _astratte_ sono separate dal modo in cui vengono memorizzati i dati, sono più ad alto livello, e si definiscono descrivendo le **proprietà** della struttura e i **metodi** che su di essa possono essere effettuate.\n \n > Una _classe_ in un qualsiasi linguaggio di programmazione è una struttura dati astratta.\n \n > Una _pila_ astratta:\n > - memorizza dati tutti dello stesso tipo\n > - `pop()`, estrae dalla pila l'ultimo valore inserito\n > - `push(val)`, aggiunge alla pila un valore\n > - `top()`, permette di vedere l'ultimo valore inserito nella pila\n > - `vuota()`, dice se la pila è vuota oppure no.\n ")),n(a.a,null,n(o.a,null,'\n # Array\n\n Un _array_ è sequenza di dati di **lunghezza conosciuta**, tutti dello **stesso tipo** e di una **dimensione fissa**, immagazzinata in **blocchi di memoria contigui**.\n \n ## Proprietà\n \n - E\' possibile accedere a tutti i blocchi di memoria conoscendo la loro **posizione relativa al primo** elemento.\n \n ## Metodi\n \n ```python\n class Array:\n def __init__(self, size, type=int): "Crea un array di dimensione size di elementi di tipo int."\n def __getitem__(self, index): "Restituisci il valore alla posizione index."\n def __setitem__(self, index, value): "Cambia il valore alla posizione index."\n ```\n \n ### Costo computazionale\n \n Tutte le operazioni su un array sono in **accesso immediato `O(1)`**!\n ')),n(a.a,null,n(o.a,null,'\n # Lista\n \n Una _lista_ è una sequenza di dati immagazzinata in **blocchi di memoria qualsiasi**.\n \n ## Proprietà\n \n Ogni dato ha un **riferimento** alla collocazione di memoria **successiva** (un puntatore): insieme, sono detti un _nodo_.\n \n E\' di **natura ricorsiva**: qualsiasi nodo di una lista può essere visto come inizio della lista con sè stesso e i suoi successivi.\n \n ## Metodi\n \n ```python\n class LinkedList:\n def __init__(self, value, next: typing.Optional[Node] = None):\n self.value = value\n self.next: typing.Optional[Node] = next\n \n def is_empty(self) -> bool: "Restituisce se la lista è vuota o no."\n def is_full(self) -> bool: "Restituisce se la lista è piena o no.\n def append(self, value): "Aggiunge un nuovo elemento in testa alla lista."\n def insert(self, value, index): "Inserisce un elemento dopo il nodo in posizione index."\n def insert_node(self, value, node): "Inserisce un nuovo elemento subito dopo un dato nodo."\n def find(self, node) -> int: "Trova l\'indice del nodo."\n def delete(self, value): "Elimina il primo nodo con quel valore dalla lista."\n def delete_node(self, node): "Elimina il nodo dalla lista."\n def forward(self, index) -> Node: "Restituisce il nodo in posizione index."\n ```\n \n ### Costo computazionale\n \n #### `List.forward(index)`\n \n Per raggiungere l\'`n`-esimo elemento, bisogna _scorrere tutti gli elementi prima di esso_: è dunque un **accesso sequenziale** in **`O(n)`**.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(a.a,null,n(o.a,null,'\n # Coda (Queue)\n\n Una _coda_ è come una pila, ma segue la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo `enqueue()`**\n - I dati possono essere estratti solo tramite il **metodo `dequeue()`**\n - Verranno restituiti i valori inseriti secondo la strategia **First In, First Out** (il primo inserito sarà il primo a essere estratto).\n \n > Hai presente quando fai la fila per pagare al supermercato? Beh, è quello, però non si possono superare le altre persone in nessun modo.\n \n ## Metodi\n \n ```python\n class Queue:\n def __init__(self): "Crea una nuova coda."\n def is_empty(self) -> bool: "Restituisce vero se la coda è vuota."\n def enqueue(self, data): "Aggiunge un dato alla coda."\n def first(self) -> ...: "Restituisce il primo dato della coda."\n def dequeue(self) -> ...: "Restituisce il primo dato della coda e lo rimuove."\n ```\n \n ## Implementazione tramite lista\n \n Posso implementare la coda con una lista, ma per realizzare l\'implementazione più efficiente devo tenere anche un puntatore all\'ultimo elemento della coda, in modo da non doverla scorrere ogni volta che voglio effettuare un\'operazione.\n \n Chiamiamo i due puntatori `head` e `tail` rispettivamente.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(a.a,null,n(o.a,null,'\n # Pila (Stack)\n\n Una _pila_ è una struttura dati contenente **valori omogenei**.\n \n ## Proprietà\n \n - I dati vi possono essere aggiunti solo tramite il **metodo `push()`**\n - I dati possono essere estratti solo tramite il **metodo `pop()`**\n - Verranno restituiti i valori inseriti secondo la strategia **Last In, First Out** (l\'ultimo inserito sarà il primo a essere estratto).\n \n > Ci si può immaginare una pila di libri, da cui si può solo prendere un libro alla volta, quello più in alto.\n \n ## Metodi\n \n ```python\n class Stack:\n def __init__(self): "Crea una nuova pila."\n def is_empty(self) -> bool: "Restituisce vero se la pila è vuota."\n def push(self, data): "Aggiunge un dato alla pila."\n def top(self) -> ...: "Restituisce il primo dato della pila."\n def pop(self) -> ...: "Restituisce il primo dato della pila e lo rimuove."\n ```\n \n ## Implementazione tramite lista\n \n Utilizzando una lista possiamo realizzare una pila!\n \n La direzione dei puntatori sarà dall\'ultimo al primo, che non punterà più a nessuno.\n \n Il costo di tutti i metodi è `Θ(1)`!\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/list)\n ')),n(a.a,null,n(o.a,null,"\n # Albero radicato\n \n Un _albero radicato_ è una struttura dati di **natura ricorsiva** che organizza i dati in maniera **non-lineare**.\n \n ## Proprietà\n \n - Ogni nodo dell'albero ha un **unico genitore**: `∀ (padre, figlio), (padre' figlio) ∈ E \\implies padre = padre'`\n - Ogni nodo dell'albero può avere **un numero qualsiasi di figli**.\n \x3c!----\x3e\n - I **nodi superiori al padre** vengono chiamati _antenati_.\n - I **nodi inferiori ai figli** vengono chiamati _discendenti_.\n \x3c!----\x3e\n - Nodi **senza padre** sono detti _radice_: `\\notexists (padre, radice) ∈ E`\n - Nodi **con padre e figli** sono detti _rami_ o interni.\n - Nodi **senza figli** sono detti _foglie_.\n \x3c!----\x3e\n - La **distanza** tra il nodo radice e i suoi discendenti è detta _livello_:\n - I figli immediati sono di livello 1.\n - I \"nipoti\" (figli dei figli) sono di livello 2.\n - I figli dei nipoti sono livello 3.\n - E così via.\n - Il **livello massimo** all'interno di un albero è detto _altezza_, _profondità_ oppure _h_, ed è sempre `1 ≤ h ≤ n-1`.\n \x3c!----\x3e\n - Un albero ha sempre `n-1` archi.\n \n ## Alberi particolari\n \n ### Alberi `d`-ari\n \n Un albero _`d`-ario_ è un particolare tipo di albero che **limita il numero massimo di figli di un nodo** a `d`.\n \n > Un albero _binario_ può avere **massimo 2 figli** per ogni nodo; un albero _ternario_ ne può avere **3**; un albero _`17`-ario_ ne potrà avere **17**\n \n #### Alberi completi\n \n Un albero `d`-ario si dice _completo_ se **tutti i nodi hanno 0 o `d` figli**, e mai una numero in mezzo.\n \n #### Alberi bilanciati\n \n Un albero `d`-ario si dice _bilanciato_ se **tutti i livelli eccetto l'ultimo** hanno il numero massimo di figli.\n \n #### Alberi perfettamente bilanciati\n \n Un albero `d`-ario si dice _perfettamente bilanciato_ se **tutti i livelli incluso l'ultimo** hanno il numero massimo di figli.\n \n ##### Particolarità degli alberi binari perfettamente bilanciati\n \n Si può dimostrare per induzione che:\n - Hanno sempre `2^h` foglie.\n - Hanno sempre `2^{h+1}-1` (`\\sum_i=0^n 2^i`) nodi.\n - L'altezza è in `Θ(log n)`.\n \n ## Implementazione degli alberi\n \n Possiamo scegliere se usare una rappresentazione con array o con nodi e puntatori: ognuna ha vantaggi e svantaggi diversi.\n \n ### Implementazione tramite array\n \n E' suggerito se l'albero è regolare; più è simile a un albero d-ario completo, meglio è.\n \n ### Implementazione tramite nodi e puntatori\n \n Più adatta ad alberi irregolari.\n \n Se l'albero è regolare, creiamo il numero esatto di campi:\n \n - Valore\n - Figlio1\n - Figlio2\n - _Opzionale:_ Padre\n \n Se un albero è irregolare, creiamo una specie di lista:\n \n - Valore\n - Primo figlio\n - Prossimo fratello\n - _Opzionale:_ Padre\n ")),n(a.a,null,n(o.a,null,"\n #### Breadth-first search (BFS)\n\n La _breadth-first search_ è un algoritmo che visita **ogni livello** dell'albero in ordine, dal più basso al più alto.\n \n ## Funzionamento\n \n > 1. __Visita radice__\n > 2. __Visita figli__\n > 3. __Visita nipoti__\n > 4. __Visita pronipoti__\n \n Si può implementare con una coda, in cui verranno inseriti i figli del nodo visitato da visitare ed estratti dopo avere completato la visita del livello attuale.\n \n ## Pseudocodice \n \n ```python\n def bfs(radice):\n c = Queue()\n c.enqueue(radice)\n while not c.is_empty():\n nodo = c.dequeue()\n print(nodo)\n for figlio in nodo.figli:\n nodo.enqueue(figlio)\n ```\n ")),n(a.a,null,n(o.a,null,"\n # Depth-First Search\n\n La _depth-first search_ è un algoritmo che visita **tutti i sottoalberi di un figlio** prima di passare ad un altro sfruttando la natura ricorsiva degli alberi.\n \n ## Funzionamento\n \n Ci sono diverse versioni della depth-first search: ognuna visita la radice in un momento diverso.\n \n ### DFS previsita (pre-order)\n \n La _DFS pre-visita_ visita la **radice per prima**, poi tutti i sottoalberi formati dai figli uno dopo l'altro.\n \n > 1. __Visita radice__\n > 2. dfs_pre_order(figlio1)\n > 3. dfs_pre_order(figlio2)\n \n ### Postvisita (post-order)\n \n La _DFS postvisita_ visita prima tutti i sottoalberi dei figli, e **alla fine la radice**.\n \n > 1. dfs_post_order(figlio1)\n > 2. dfs_post_order(figlio2)\n > 3. __Visita radice__\n \n ### Invisita (in-order)\n \n La _DFS invisita_ visita **un certo numero di figli**, poi la radice, e infine i figli restanti.\n \n > 1. dfs_in_order(figlio1, 1)\n > 2. __Visita radice__\n > 3. dfs_in_order(figlio2, 1)\n ")),n(a.a,null,n(o.a,null,"\n # Albero binario di ricerca\n\n ## Proprietà\n \n - Albero **binario**\n - Chiavi appartenenti ad un **insieme totalmente ordinato** (N, Q, R, ma non C)\n \x3c!----\x3e\n - Per ogni nodo con valore `x`, se un valore `v` è nel sottoalbero di sinistra allora `v ≤ x`, mentre se è nel sottoalbero di destra allora `v > x`.\n \n ## Costo computazionale\n \n - Trovare un valore: `O(h)`\n - Ordinare i valori: `O(n)`\n - Trovare il minimo: `O(h)`\n - Trovare il massimo: `O(h)`\n - Inserire un elemento: `O(h)`\n - Cancellare un elemento: `O(h)`\n \n `h` vale `log n` in un albero perfettamente bilanciato, e più l'albero diventa sbilanciato, più si avvicina a `n`, raggiungendola nel caso l'albero sia una lista.\n \n ## Pseudocodice\n \n ### Cancellazione ricorsiva\n \n ```python\n def delete(tree, key):\n if tree is not None:\n # Se ho trovato il nodo che cercavo...\n if tree.key == key:\n # E c'è una sola diramazione...\n # Semplicemente stacca il nodo come in una lista.\n if tree.left is None:\n return tree.right\n if tree.right is None:\n return tree.left\n # Altrimenti, diventa il minimo dell'albero di destra\n tree.key = tree.right.min()\n # Ed eliminalo dal sottoalbero\n tree.right = delete(tree.right, tree.key)\n # Se la chiave attuale è diversa da quella che cerchiamo, continuo a navigare l'albero\n elif tree.key < key:\n tree.left = delete(tree.left, key)\n else:\n tree.right = delete(tree.right, key)\n return tree\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/bst)\n \n ## Approfondimenti\n \n Esistono alberi più avanzati che mantengono le proprietà degli alberi binari di ricerca, ma che si autobilanciano, come il [Red Black Tree](https://it.wikipedia.org/wiki/RB-Albero).\n ")),n(a.a,null,n(o.a,null,'\n # Heap binario\n \n L\'_heap binario_ è un **albero binario bilanciato a sinistra**.\n \n ## Proprietà\n \n - _Proprietà strutturale_:\n - L\'albero è **perfettamente bilanciato** in tutti i livelli tranne l\'ultimo\n - Nell\'ultimo livello, le foglie occupano le **posizioni più a sinistra** possibili\n - _Proprietà di ordinamento_:\n - La chiave di un qualsiasi nodo è **più piccola** di tutte quelle dei nodi **del suo sottoalbero**\n \n ## Metodi\n \n ```python\n class Heap:\n def __init__(self, H): ...\n def _heapify_ancestors(self, i): "Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi genitori."\n def minimum(self): "Restituisce la chiave con il valore minimo in H."\n def decrease_value(self, index, new_value): "Diminuisce il valore della chiave all\'indice index a new_value."\n def insert(self, value): "Inserisci un nuovo valore nell\'albero."\n def _heapify_children(self, i): "Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi figli."\n def pop(self): "Restituisce la chiave con il valore minimo, e la elimina."\n def from_list(l): "Crea un heap da una lista."\n ```\n \n ## Implementazione con un array\n \n Possiamo implementare l\'albero utilizzando un array con le chiavi dell\'albero memorizzate nell\'ordine _breadth-first_.\n \n L\'indice del figlio sinistro può essere trovato a `2i+1`, mentre l\'indice del figlio sinistro può essere trovato a `2i+2`; il genitore è a `i//2-1`.\n \n ### Pseudocodice\n \n ```python\n class Heap:\n def __init__(self, size):\n self.array = Array(size) # Il tipo Array non esiste; consideriamolo pseudocodice\n self.next_value = 0\n \n def _heapify_ancestors(self, index)\n """Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi genitori.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice del genitore\n parent = index // 2 - 1\n # Controllo se viene mantenuta la proprietà di ordinamento dell\'heap\n if self.array[index] < self.array[parent]:\n # Scambio i valori dei due nodi\n self.array[index], self.array[parent] = self.array[parent], self.array[index]\n # Faccio la stessa cosa con il genitore\n self._heapify(parent)\n \n \n def minimum(self):\n """Restituisce la chiave con il valore minimo in H.\n \n Costo:\n O(1)"""\n return self.array[0]\n \n def decrease_value(self, index, new_value):\n """Diminuisce il valore della chiave all\'indice index a new_value.\n \n Costo:\n O(log n)"""\n # Diminuisco il valore del nodo\n self.array[index] = new_value\n # Aggiorno l\'heap \n self._heapify(index)\n \n def insert(self, value):\n """Inserisci un nuovo valore nell\'albero.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice in cui inserire il valore\n index = self.next_index \n # Aggiungo il valore in fondo\n self.array[index] = value\n # Aggiorno l\'heap\n self._heapify(index)\n \n def _heapify_children(self, index):\n """Ripristina le proprietà dell\'heap per il nodo all\'indice specificato e i suoi figli.\n \n Costo:\n O(log n)"""\n # Trovo l\'indice dei figli\n left = index * 2 + 1\n right = index * 2 + 2\n # Mi assicuro che i figli esistano\n try:\n # Guardo quale dei figli è maggiore\n if self.array[left] > self.array[right]:\n # Scambio i valori\n self.array[left], self.array[index] = self.array[index], self.array[left]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n else:\n # Scambio i valori\n self.array[right], self.array[index] = self.array[index], self.array[right]\n # Ripeto la procedura sul figlio modificato\n self._heapify_children(left)\n except IndexError:\n # La foglia non ha figli: ho finito!\n return\n \n def pop(self):\n """Restituisce la chiave con il valore minimo, e la elimina.\n \n Costo:\n O(log n)"""\n # Mi salvo il valore della radice\n value = self.array[0]\n # Sostituisco la radice con l\'ultima foglia a destra\n self.array[0], self.array[self.next_value] = self.array[self.next_value], self.array[0]\n ### Non bisognerebbe eliminare la foglia...?\n # Riordino l\'heap\n self._heapify_children(0)\n return value\n \n @staticmethod\n def from_list(l):\n """Crea un heap da una lista.\n \n Costo:\n O(n log n), ma si può abbassare"""\n heap = Heap(len(l)))\n heap.array = Array.from_list(l) # Pseudocodice\n heap.next_value = len(l)\n # Cominciamo a riordinare l\'heap dalla fine, in modo che rispetti le proprietà\n for index in range(heap.next_value, 0, -1):\n heap._heapify_children(index)\n ```\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/heap)\n ')),n(a.a,null,n(o.a,null,"\n # Coda con priorità\n \n La _coda con priorità_ è una struttura dati dal funzionamento molto simile a quello di una coda, ma invece che restituire il primo elemento inserito, essa restituisce l'**elemento con il valore di priorità minore**.\n \n ## Proprietà\n \n - Ogni elemento è una coppia costituita da **valore** e **priorità** (un numero intero).\n - Nuovi elementi possono essere aggiunti solo tramite il **metodo `insert()`**\n - Gli elementi possono essere estratti solo tramite il **metodo `pop()`**\n - Verranno restituiti i valori inseriti secondo la strategia **Lower Priority** (l'elemento con la priorità minore sarà il primo ad essere restituito).\n - E' possibile diminuire la priorità di un elemento (e quindi anticipare la sua estrazione)\n \n ## Metodi\n \n ```python\n class PriorityQueue:\n def __init__(self): ...\n def insert(self, new_elem: Element): ...\n def minimum(self) -> Element: ...\n def pop(self) -> Element: ...\n def decrease_priority_for(self, elem: Element, priority: int): ...\n ```\n \n ## Implementazione con lista\n \n E' possibile implementare la coda con priorità tramite una **lista**: l'inserimento di nuovi valori diventerà molto efficiente, ma tutte le altre operazioni saranno linearmente lente.\n \n ### Costo computazionale\n \n - *insert()*: `O(1)`\n - *minimum()*: `O(n)`\n - *pop()*: `O(n)`\n - *decrease_priority_for()*: `O(n)`\n \n ## Implementazione con lista ordinata\n \n Implementando la coda con priorità con una **lista ordinata** si avrà un costo di ordinamento elevato negli inserimenti e modifiche alla priorità, ma costi costanti nell'estrazione di un elemento.\n \n ### Costo computazionale\n \n - *insert()*: `O(n)`\n - *minimum()*: `O(1)`\n - *pop()*: `O(1)`\n - *decrease_priority_for()*: `O(n)`\n \n ## Implementazione con heap\n \n La **soluzione migliore** è quella di implementare la coda con priorità tramite un **heap**: tutti i costi saranno logaritmici, eccetto l'inserimento che sarà costante.\n \n - `insert()` costa `O(1)`\n - `minimum()` costa `O(log n)`\n - `pop()` costa `O(log n)`\n - `decrease_priority_for()` costa `O(log n)`\n \n ## Approfondimenti\n \n Esistono code con priorità che restituiscono **l'elemento con priorità maggiore**, invece che quello minore.\n ")),n(a.a,null,n(o.a,null,"\n # Heap sort\n\n L'_heap sort_ è un algoritmo di ordinamento per confronto **iterativo**.\n \n ## Funzionamento\n \n Per effettuare un heap sort, creiamo un **heap massimo** in cui inseriamo tutti i valori che vogliamo ordinare.\n \n Una volta applicate le proprietà dell'heap, chiamiamo una versione particolare di `heap.pop()` che invece che rimuovere dall'array i valori estratti li posiziona nello spazio creatosi in fondo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(n log n)` | `Ω(n log n)` | **`θ(n log n)`** |\n ")),n(a.a,null,n(o.a,null,"\n # Grafo\n \n Un _grafo_ è una struttura dati che rappresenta elementi interconnessi tra loro.\n \n Esistono due tipi di grafi: _orientati_ e _non orientati_.\n \n Per semplicità, consideriamo i nostri nodi numerati da 1 a `n`.\n \n ## Proprietà\n \n - Gli elementi sono rappresentati tramite _nodi_.\n - Il loro _grado_ è dato dal **numero degli archi** che vi incidono.\n - Se il grafo è orientato, hanno anche un _in-degree_ (**numero di archi entranti**) e un _out-degree_ (**numero di archi uscenti**).\n - Le connessioni tra elementi sono rappresentate tramite _archi_.\n - Un arco _incide_ esattamente su **due nodi**.\n - Se il grafo è orientato, sono _uscenti_ da uno dei due nodi ed _entranti_ nell'altro.\n - Sono matematicamente meno del **quadrato dei nodi**.\n \n ## Grafi particolari\n \n ### Catena\n \n Una _catena_ è un **grafo non orientato** composto da una **sequenza di nodi** aventi un **grado massimo di 2** tutti collegati tra loro.\n \n ### Cammino\n \n Un _cammino_ è un **grafo orientato** composto da una **sequenza di nodi** aventi un **in-degree** e un **out-degree** **massimo di 1**, collegati tra loro in modo che partendo dal primo e seguendo gli archi sia possibile arrivare all'ultimo.\n \n ### Cricca\n \n Una _cricca_ è un grafo in cui **tutti i nodi sono collegati tra loro**.\n \n Se il grafo è **non orientato**, la cricca ha `((n-1)n)/2` archi.\n \n Se il grafo è **orientato**, ha per ogni coppia un arco in entrambe le direzioni, quindi ha `(n-1)n` archi.\n \n ### Direct Acyclic Graph\n \n Un _DAG_ è un grafo diretto che non contiene nessun ciclo.\n \n Su di esso possiamo effettuare un ordinamento, detto _linearizzazione_, tra i nodi: otteniamo l'_ordine topologico_.\n \n I primi elementi dei DAG sono detti _Source_ (_Sorgente_), mentre gli ultimi sono detti _Sink_ (_Pozzo_).\n \n #### Albero\n \n Un **albero** può essere considerato un DAG con una **sorgente singola** e le **foglie come pozzi**.\n \n ### Grafo fortemente connesso\n \n Un insieme di nodi `V` di un **grafo diretto** `G` si dice una _componente fortemente connessa_ se:\n \n 1. Per ogni coppia di nodi `∀ u, v ∈ V' : ∃ un cammino u->v in G'`\n 2. Massimale (non può diventare più grande)\n \n > Praticamente una componente fortemente connessa è un gruppo di nodi tra i quali si può viaggiare liberamente da e a qualsiasi nodo al suo interno.\n \n Un grafo si dice _fortemente connesso_ se l'insieme `V` coincide con l'insieme dei nodi del grafo `G`.\n \n > Se partendo da qualsiasi nodo di un grafo riesco ad arrivare a qualsiasi altro nodo, allora il grafo è fortemente connesso.\n \n Inoltre, se creiamo un nuovo grafo, in cui **ogni nodo rappresenta una componente fortemente connessa** del nostro grafo iniziale, **otteniamo un DAG**, perchè tutti i cicli sono stati integrati nella componente.\n \n ### Trasposto di un grafo\n \n Il _trasposto_ di un **grafo diretto** `G` è il grafo stesso con gli archi che però vanno nella **direzione opposta**.\n \n ### Grafo pesato\n \n Un _grafo pesato_ è un particolare grafo che associa a ciascun arco un **costo** per attraversarlo.\n \n #### Costi negativi\n \n I costi possono anche essere negativi: rappresenteranno allora un **guadagno** ottenuto attraversando il nodo.\n \n ### Minimum spanning tree\n \n Un _minimum spanning tree_ è il **sottoinsieme degli archi** di un **grafo non diretto** che **connettono tutti i nodi** con il **minor costo possibile**.\n \n I MST hanno [molte proprietà](https://en.wikipedia.org/wiki/Minimum_spanning_tree#Properties); sono troppe da scrivere qui, e probabilmente non ci interesseranno nemmeno.\n \n ## Implementazione tramite matrice di adiacenza\n \n Possiamo implementare un grafo creando una **matrice di `bool` di dimensione `n * n`** in cui le **caselle collegate sono vere** e le caselle non collegate sono false.\n \n > Ad esempio, possiamo implementare un grafo non orientato in questo modo (`█` indica l'esistenza di un collegamento e ` ` indica la sua assenza):\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|░|░|\n > |2|█|░|░|\n > |3|█| |░|\n >\n > Esistono gli archi `1-2` e `1-3`, ma non esiste un collegamento `2-3`.\n \n > Un grafo orientato invece si può implementare così:\n >\n > | |1|2|3|\n > |-|-|-|-|\n > |1|░|█| |\n > |2|█|░| |\n > |3|█| |░|\n >\n > Esistono gli archi `1->2`, `2->1` e `3->1`, ma non ci sono collegamenti `2->3`, `1->3` e `3->2`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Le matrici di adiacenza portano alla realizzazione di algoritmi molto veloci: verificare l'esistenza di un arco è in `O(1)`!\n \n Abbiamo però penalità significative quando vogliamo effettuare operazioni sugli archi: ad esempio, trovare il trasposto di un grafo implementato con una matrice di adiacenza è in `O(nodi²)`.\n \n #### Memoria\n \n E' poco efficiente in quanto a memoria: l'upper bound è in `O(n^2)`. \n \n ## Implementazione tramite liste di adiacenza\n \n Un'alternativa alla matrice di adiacenza è quella di creare un'**array di liste**, le quali contengono i **vicini di ciascun nodo**.\n \n > |Posizione|Lista|\n > |-|-|\n > |1|[2, 3]|\n > |2|[]|\n > |3|[1]|\n >\n > Esistono gli archi `1->2`, `1->3`, e `3->1`, ma non esistono `2->1`, `2->3` e `3->2`.\n \n ### Costo computazionale\n \n #### Tempo\n \n Utilizzando le liste di adiacenza, il tempo richiesto per verificare l'esistenza di un arco sale a `O(max-out-degree)`.\n \n E' efficace però quando il problema che vogliamo risolvere riguarda operazioni su archi: trovare la trasposta è in `O(archi)`.\n \n #### Memoria \n \n La memoria richiesta dalle liste di adiacenza è minore di quella delle matrici: l'upper bound è in `O(nodi + archi)`.\n \n ## Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/graphds)\n ")),n(a.a,null,n(o.a,null,"\n # Visitare un grafo\n \n Come per gli alberi radicati, esistono due modi per visitare un grafo: _depth-first search_ e _breadth-first search_.\n \n In entrambi i casi, non visito mai due volte lo stesso nodo, e come risultato ottengo **molteplici alberi**, il cui insieme viene detto _foresta di copertura_.\n \n Se il grafo che vogliamo visitare è diretto, allora dobbiamo **considerare come vicini solo gli archi uscenti**\n \n ## Depth-first search\n \n La DFS ci può risultare utile per **identificare le componenti connesse** di un grafo e **identificare eventuali cicli**.\n \n ### Funzionamento\n \n Posso utilizzare la DFS per classificare gli archi di un grafo in quattro categorie:\n \n - _Tree_, archi che ci fanno **scoprire un nuovo nodo**\n - _Forward_, archi che ci portano a un **discendente**\n - _Back_, archi che ci portano ad un **antenato**\n - _Cross_, archi che **connettono due sottoalberi** diversi\n \n Usiamo due array inizializzati a 0 chiamati `pre` e `post`, grandi quanto il numero di archi del grafo, che ci indicano rispettivamente quando un nodo è stato scoperto e quando è terminata la visita. \n Inoltre, creiamo una variabile `clock` che avanza ad ogni evento. \n Alla scoperta di un nuovo nodo, mettiamo il valore attuale di `clock` all'interno di `pre[n]`. \n Alla fine della visita di un nodo invece mettiamo il valore di `clock` in `post[n]`.\n \n **Durante la visita**, gli archi avranno i seguenti valori:\n - _Tree_: `pre[dst] == 0`\n - _Forward_: `pre[src] < pre[dst] && post[dst] > 0`\n - _Back_: `pre[dst] < pre[src] && post[dst] == 0`\n - _Cross_: Tutti gli altri (`post[dst] < pre[src]`)\n \n **A fine visita**, gli archi avranno i seguenti valori:\n - _Tree_: `pre[dst] < pre[dst] < post[dst] < pre[src]`\n - _Forward_: `pre[dst] < pre[dst] < post[dst] < pre[src]`\n - _Back_: `pre[src] < pre[dst] < post[dst] < post[src]`\n - _Cross_: `pre[dst] < post[dst] < pre[src] < post[src]`\n \n Se un **grafo non diretto** contiene degli **archi Back**, allora esso **conterrà un ciclo**.\n \n #### DFS nel grafo trasposto\n \n Se effettuo una DFS sul trasposto di un grafo, posso **scoprire i nodi che hanno un cammino verso l'origine**.\n \n #### DFS nella componente fortemente connessa\n \n Se effettuo una DFS in una componente fortemente connessa e nella sua trasposta, il **`post` della trasposta sarà sempre minore** del `post` della componente originale.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n | Memoria | `O(nodi)` | `Ω(nodi)` | **`θ(nodi)`** |\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n \n ## Breadth-first search\n \n La BFS ci può risultare utile per **trovare tutti i nodi a una certa distanza** da un'origine.\n \n ### Costo computazionale\n \n | Categoria | Upper bound | Lower bound | Tight bound |\n |-----------|-------------|-------------|-------------|\n | Tempo | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n | Memoria | `O(nodi + archi)` | `Ω(nodi + archi)` | **`θ(nodi + archi)`** |\n \n ### Pseudocodice\n \n Come per gli alberi, la implementiamo in modo **iterativo**:\n \n ```python\n queue = [starting_node]\n parents = [None for node in graph.nodes]\n distance = [-1 for node in graph.nodes]\n \n # TODO: controllami quando sei più sveglio\n \n while queue:\n node, source, distance = queue.pop(0)\n parents[node.number] = source\n distance[node.number] = distance\n for neighbour in node.neighbours:\n queue.append((neighbour, node, distance+1))\n ```\n \n > Nella coda, la distanza massima tra un nodo e l'altro è 1.\n \n ### Visualizzazione\n \n [visualgo.net](https://visualgo.net/en/dfsbfs)\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmi greedy\n\n Un modo per risolvere problemi algoritmici può essere usare una **tecnica** _greedy_.\n \n Le tecniche greedy consistono nel effettuare tanti piccoli passi, ed effettuare una **scelta** in base ai dati **locali al passo attuale**.\n \n > Scegli il numero di monete più piccole possibili per comporre €1.12.\n >\n > L'algoritmo cerca di scegliere sempre la moneta più grande possibile compatibile con il prezzo in quel momento, quindi:\n > | Moneta scelta | Rimanente |\n > |---------------|-----------|\n > | € 1.00 | € 0.12 |\n > | € 0.10 | € 0.02 |\n > | € 0.02 | € 0.00 |\n \n ## Esempi\n \n Sono algoritmi greedy:\n \n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n ")),n(a.a,null,n(o.a,null,"\n # Percorso più breve\n\n Trovare il _percorso più breve_ (o _cammino minimo_) tra due nodi di un **grafo pesato** è un problema frequente nell'informatica; per questo, sono stati sviluppati [numerosi algoritmi](https://en.wikipedia.org/wiki/Shortest_path_problem) per risolverlo.\n \n > Ad esempio, il pathfinding dei nemici nei videogiochi, oppure Google Maps!\n \n ## Percorso più breve da una sorgente singola\n \n Una sottocategoria del problema del percorso più breve è il caso in cui ci interessa sapere i percorsi più brevi che **partono da uno specifico nodo del grafo**: è detto problema del _percorso più breve da una sorgente singola_, o _single-source shortest path_.\n \n Si può notare che se il grafo contiene **costi negativi** allora è possibile che il percorso più breve non esista, in quanto diventa possibile la comparsa di **cicli di costo infinitamente negativo**.\n \n Possiamo notare che, se il percorso più breve tra `A` e `D` è `A-B-C-D`, allora il cammino minimo tra `B` e `D` passerà obbligatoriamente per `C` (`B-C-D`).\n Diremo più avanti che il percorso più breve ha una **sottostruttura ottimale**.\n \n ### Esempi\n \n Alcuni algoritmi che trovano il percorso più breve sono:\n - L'_Algoritmo di Dijkstra_\n - L'_Algoritmo di Bellman-Ford_\n - La [_ricerca A*_](https://en.wikipedia.org/wiki/A*_search_algorithm)\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Dijkstra\n \n L'_Algoritmo di [Dijkstra](https://upload.wikimedia.org/wikipedia/commons/8/85/Dijkstra.ogg)_ è un algoritmo che risolve il problema del **percorso più breve da una sorgente singola** per grafi con pesi **reali positivi** `\\mathbb{R}^+`.\n \n L'algoritmo trova tutti i percorsi più brevi per raggiungere qualsiasi nodo del grafo partendo da un dato nodo, assieme al costo richiesto per farlo.\n \n ## Funzionamento\n \n 1. Separiamo tutti i nodi del grafo in due gruppi: **visitati** e **non visitati**. \n - Tutti i nodi partono da **non visitati**.\n 2. Per ogni nodo, manteniamo un valore \"**costo richiesto per raggiungerlo**\", che verrà cambiato man mano che l'algoritmo avanza.\n - Il costo di partenza è `+∞`.\n - Il costo sarà **definitivo per i nodi visitati**, e **provvisorio per i non visitati**.\n 3. Creiamo un insieme detto _frontiera_ che conterrà tutti i **nodi non visitati adiacenti** a quelli visitati.\n 4. Prendiamo il nodo iniziale, che avrà un **costo di `0`**, e definiamolo il nodo _attuale_.\n 5. Finchè ci sono dei nodi non sono stati visitati, ripetiamo il seguente ciclo:\n 1. Aggiungiamo i nodi adiacenti al nodo attuale alla frontiera.\n - Il costo per raggiungerli sarà il **costo per il nodo attuale sommato al costo dell'arco** che li connette al nodo attuale. \n Se questo **costo** risulta essere **minore del costo provvisorio** precedente, esso **diventerà il nuovo costo**.\n - Questa operazione è detta _rilassamento dell'arco_.\n 2. Facciamo diventare **visitato** il nodo attuale.\n - Il percorso che abbiamo fatto per raggiungerlo è obbligatoriamente il più breve.\n 3. Il prossimo nodo attuale sarà il nodo di frontiera con un costo più basso.\n - Per questo, è possibile definire l'algoritmo di Dijkstra come un **algoritmo greedy**.\n \n ### Non funziona se...\n \n L'algoritmo smette di funzionare nel caso in cui siano presenti **costi negativi** e il grafo non sia **aciclico**, in quanto non saremmo mai in grado di rendere visitato un nodo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(nodi + archi) log nodi)` |\n \n ### Scomposizione\n \n - Inizializzazione: `O(nodi)`\n - Creazione coda priorità: `O(nodi log nodi)`\n - Ciclo: `O((nodi + archi) log nodi)`\n \n ## Pseudocodice\n \n ```python\n import math\n \n class Info:\n def __init__(self, distance=math.inf, previous=None):\n self.distance = distance\n self.previous = previous\n \n def dijkstra(graph, start):\n data = [Info() for node in graph.nodes]\n queue = PriorityQueue([start])\n while queue:\n node = queue.pop()\n for arc in node.connections:\n other = arc.other(node)\n if data[node.number].distance + arc.cost < data[other].distance:\n data[other].distance = data[node.number].distance + arc.cost\n queue.decrease_priority_for(other, data[other].distance)\n data[v].previous = node\n return data\n ```\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Bellman-Ford\n\n L'_Algoritmo di Bellman-Ford_ è un algoritmo che, come l'Algoritmo di Dijkstra, risolve il problema del **percorso più breve da una sorgente singola**, però, a differenza da quest'ultimo, l'Algoritmo di Bellman-Ford accetta in input anche grafi con pesi **reali** `\\mathbb{R}` (sia positivi, sia negativi).\n \n ## Funzionamento\n \n L'approccio dell'algoritmo è simile a quello di Dijkstra: entrambi usano il **rilassamento** degli archi per ottenere un costo provvisorio per il raggiungimento di un nodo, ma invece che rilassare solo l'arco con costo inferiore, questo algoritmo **rilassa tutti gli archi** ripetutamente, eliminando la frontiera e il problema dei nodi negativi.\n \n L'operazione di rilassamento è ripetuta `nodi - 1` volte, ovvero la **lunghezza massima** di un cammino aciclico all'interno di un grafo.\n \n Possiamo individuare dopo i rilassamenti se è presente un nodo con un **ciclo negativo**: ci basta controllare se esiste un arco che connette due nodi con una distanza incompatibile: se `a.distanza + arco.costo < b.distanza`, allora è presente un ciclo negativo.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(nodi * archi)` |\n \n ## Pseudocodice\n \n > TODO\n \n ## Visualizzazione\n \n [Visualgo](https://visualgo.net/en/sssp)\n ")),n(a.a,null,n(o.a,null,'\n # Disjoint set\n \n Il _disjoint set_ è una struttura dati che rappresenta elementi di un insieme raggruppati in **sottoinsiemi disgiunti**.\n \n ## Metodi\n \n ```python\n class DisjointNode:\n def __init__(self): ...\n def find_set(self): "Trova il rappresentante dell\'elemento."\n def union(self, other): "Unisce i sottoinsiemi che contengono questo nodo e `other`."\n ```\n \n ## Implementazione tramite array\n \n Possiamo implementare il disjoint set con due array: uno per l\'**indice del rappresentante** e uno per il **rango dell\'insieme**.\n \n Un singoletto avrà **sè stesso come rappresentante** e **rango `0`**.\n \n ### Costo computazionale\n \n - *create_set()*: `O(1)`\n - *find_set()*: `O(h)`\n - *union()*: `O(h)`\n \n ### Pseudocodice\n \n ```python\n class DisjointNode:\n def __init__(self):\n self.parent = self\n self.rank = 0\n \n def find_set(self):\n element = self\n while self.parent != element:\n element = self.parent\n return element\n \n def union(self, other):\n repres_self = self.find_set()\n repres_other = other.find_set()\n if repres_self == repres_other:\n return\n if repres_self.rank < repres_other.rank:\n repres_greater = repres_other\n repres_lesser = repres_self\n else:\n repres_greater = repres_self\n repres_lesser = repres_other\n repres_lesser.parent = repres_greater\n if repres_greater.rank == repres_lesser.rank:\n repres_greater.rank += 1\n ```\n \n ### Visualizzazione\n \n [cs.usfca.edu](https://www.cs.usfca.edu/~galles/JavascriptVisual/DisjointSets.html)\n ')),n(a.a,null,n(o.a,null,"\n # Trovare il minimum spanning tree\n\n Un altro problema ricorrente riguardante i grafi è trovare il _minimum spanning tree_ di un dato grafo non diretto.\n \n > E' utile per trovare il modo più efficiente per connettere le cose: ad esempio, per decidere la struttura di una rete internet!\n \n ## Esempi\n \n Gli algoritmi principali che risolvono il problema sono due, ed entrambi sono **algoritmi greedy**:\n \n - L'_Algoritmo di Kruskal_\n - L'_Algoritmo di Prim_\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Kruskal\n \n L'_Algoritmo di Kruskal_ è un algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n 1. Ripetiamo questa procedura finchè tutti i nodi non sono connessi:\n 1. Prendiamo ad ogni passo **l'arco meno costoso** del grafo non ancora aggiunto all'insieme.\n 2. Assicuriamoci che **non si creino cicli**: se non se ne verrebbero a creare, possiamo **aggiungere l'arco all'insieme**.\n - Gli archi devono quindi connettere nodi in **componenti connesse diverse**.\n - Possiamo rappresentare le componenti connesse con un **Disjoint Set**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(archi²)` |\n \n ### Scomposizione\n \n - DisjointSet.__init__(): `O(archi)`\n - Per ogni ciclo: `O(archi²)`\n - DisjointSet.find_set(): `O(1)`\n - DisjointSet.union(): `O(archi)`\n \n ## Pseudocodice\n \n ```python\n def minimum_spanning_tree_kruskal(graph):\n ds = DisjointSet()\n for node in graph.nodes:\n ds.create_set(node)\n arcs = []\n sorted_arcs = sorted(graph.arcs, key=lambda arc: arc.cost)\n for arc in sorted_arcs:\n if ds.find_set(node.start) != ds.find_set(node.end):\n arcs.append(arc)\n ds.union(node.start, node.end)\n return arcs\n ```\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Prim\n \n L'_Algoritmo di Prim_ è un altro algoritmo **greedy** che **trova il minimum spanning tree** di un grafo.\n \n ## Funzionamento\n \n Creo una **coda con priorità** in cui inserisco tutti gli archi visibili dal mio albero, in cui la chiave è il **costo dell'arco**.\n \n Per trovare l'arco con costo più piccolo posso **estrarre un arco** dalla coda: la priorità ci garantisce che esso è l'**arco meno costoso**.\n \n Aggiungo allora un nuovo nodo all'albero, e con esso, **aggiungo alla coda** tutti gli **archi che scoprono un nuovo nodo**.\n \n ## Costo computazionale\n \n | Categoria | Upper bound |\n |-----------|-------------|\n | Tempo | `O(archi + nodi log nodi)` |\n \n ## Pseudocodice\n \n ```python\n import math\n \n def minimum_spanning_tree_prim(graph, cost_array, start_node):\n # E' un Array di bool: se l'indice corrispondente al nodo è uguale a true, vuol dire che il (nodo è contenuto nell'albero.\n contains = [False for _ in range(len(graph))]\n # Contiene il precedente di ogni nodo \n prev = [None for _ in range(len(graph))]\n # Contiene il costo per arrivare a quel nodo\n cost = [math.inf for _ in range(len(graph))]\n # Creo la priority queue\n pq = PriorityQueue(graph.arcs, key=lambda arc: arc.cost)\n # Parto dal nodo `start_index`\n # Il costo dell'origine è 0.\n cost[start_node.index] = 0\n contains[start_node.index] = True\n \n while not pq.is_empty():\n new_node = pq.pop()\n contains[new_node.index] = True\n for arc in new_node.connections:\n other_node = arc.other(new_node)\n if not contains[other_node.index] and cost[other_node.index] > arc.cost:\n cost[other_node.index] = arc.cost\n prev[other_node.index] = new_node\n pq.decrease_priority_for(other_node, arc.cost)\n # L'array di prev rappresenta un albero.\n return prev\n ```_\n ")),n(a.a,null,n(o.a,null,"\n # Compressione\n\n _Comprimere_ un file significa **ridurne le dimensioni** senza modificarne il significato.\n \n ## Categorie\n \n ### Compressione lossless\n \n Nella _compressione lossless_, i dati possono essere decompressi riottenendo una copia identica dell'originale.\n \n > Immaginiamo un file che contiene solo le lettere `a, b, c, d, e, f`.\n >\n > Le lettere compaiono con questa frequenza:\n > |a|b|c|d|e|f|\n > |45%|13%|12%|16%|9%|5%|\n >\n > Possiamo codificare le lettere nel seguente modo:\n > |a|b|c|d|e|f|\n > |`0b0`|`0b100`|`0b101`|`0b111`|`0b1100`|`0b1101`|\n >\n > Scrivere `abacadae` richiederebbe 64 bits con la codifica ASCII estesa, ma in questo modo riusciamo a scriverlo con soli 17 bits!\n \n Le codifiche di un file compresso devono rispettare la proprietà del _Codice a prefisso_, che dice che **nessun codice deve essere il prefisso di un altro codice**; altrimenti, si avrebbero ambiguità nella decodifica.\n \n > a = `1`\n > b = `11`\n >\n > `111` è `ab`, `ba` oppure `aaa`?\n \n Creiamo allora un _albero di decodifica_: un **albero binario** che, leggendo uno ad uno i bit codificati, ci permette di arrivare al **valore del codice presente sulle foglie** dell'albero.\n \n Gli alberi di decodifica sono sempre **completi**.\n \n > Un albero di decodifica incompleto sarebbe non ottimizzato!\n \n #### Esempi\n \n - .png\n - .flac\n - .zip\n - ...\n \n ### Compressione lossy\n \n Nella _compressione lossy_, alcuni dati [solitamente](http://needsmorejpeg.com/) irrilevanti vengono perduti: non si può, dunque, ricostruire l'originale.\n \n #### Esempi\n \n - .jpeg\n - .mp3\n - ...\n ")),n(a.a,null,n(o.a,null,"\n # Algoritmo di Huffman\n\n L'_Algoritmo di Huffman_ è un **algoritmo greedy** per la **costruzione di un albero di decodifica**.\n \n ## Funzionamento\n \n 1. Costruisco **un albero** (con un solo nodo) **per ogni elemento dell'alfabeto**.\n 2. Associo ad **ogni albero la frequenza dell'elemento** da cui è stato creato, per poi inserire tutti gli elementi in una coda con priorità.\n 3. Finchè non ho **un albero solo**:\n 1. Estraggo dalla coda i **due alberi con frequenza minore**.\n 2. **Li rendo fratelli**, creando un nuovo nodo in cui sono uno figlio destro e uno figlio sinistro.\n 3. Associo al nuovo nodo la **somma delle frequenze dei due alberi**, e inserisco il nuovo albero nella coda.\n \n > È molto raro che venga un albero \"dritto\"; se succede, probabilmente c'è qualcosa che non va.\n ")),n(a.a,null,n(o.a,null,"\n # Dizionario\n \n Un _dizionario_ è una struttura dati che **associa dei valori a delle chiavi**.\n \n ## Proprietà\n \n - Ogni elemento del dizionario è un **valore** che è stato **associato a una chiave**.\n - Possiamo aggiungere nuovi elementi con il **metodo `add(chiave, valore)`**.\n - Posiamo estrarre elementi con il **metodo `get(chiave)`**, che restituirà il valore associato a `chiave`.\n - E' possibile rimuovere elementi con il **metodo `delete(chiave)`**.\n - Due elementi con **chiavi diverse** non devono **mai restituire lo stesso valore**.\n \n ## Metodi\n \n Beh... Non ha molto senso in questo caso...\n \n ```python\n dict()\n ```\n \n ## Implementazione con tabella hash\n \n Una _tabella hash_ è un'array di coppie **chiave-valore**, che formano l'insieme _universo_.\n \n Per determinare l'**indice dell'array** in cui inserire una coppia, usiamo una [funzione _hash_](https://it.wikipedia.org/wiki/Hash#Algoritmo_di_hash) sulla chiave, che restituirà **numeri da `0` a `len(hash_table)`**.\n \n ### Risoluzione collisioni\n \n Potrebbe capitare però che **due chiavi diverse abbiano lo stesso indice**. Dobbiamo allora usare un metodo di _risoluzione collisioni_, che mi permetta di distinguere tra chiavi diverse.\n \n #### Lista di trabocco\n \n Possiamo salvare nell'array **liste di coppie** chiave-valore; in caso di collisione, **aggiungo un nuovo elemento alla lista**.\n \n In media, ciascuna di queste liste conterrà `elementi_inseriti / dimensione_tabella` elementi.\n \n #### Indirizzamento aperto\n \n Possiamo decidere di mettere le coppie che non trovano posto nel loro indice in **un altro indirizzo vuoto** dell'array.\n \n Ci sono diversi modi in cui decidere il nuovo indirizzo, ognuno con vantaggi e svantaggi: si può scegliere quello successivo, oppure il primo vuoto dell'array, oppure un indirizzo casuale.\n \n > Python, nei `dict`, usa indirizzamento aperto pseudorandom.\n \n ### Costo computazionale\n \n - Aggiungere una chiave: `O(n)`\n - Trovare una chiave: `O(n)`\n - Eliminare una chiave: `O(n)`\n ")),n(a.a,null,n(o.a,null,"\n # Programmazione dinamica\n \n La _programmazione dinamica_ è una **tecnica** di programmazione che prevede l'**estensione di una soluzione ottima precedente**.\n \n Tutti i problemi in cui si può applicare si possono risolvere anche con la **ricorsione**, ma a differenza della ricorsione, questa tecnica riesce ad evitare di ricalcolare la soluzione per ogni chiamata ricorsiva, ottenendo quindi tempi molto migliori.\n \n Si può applicare solo se un problema ha una **sottostruttura ottimale**, ovvero se la soluzione ottima di un sottoproblema è inclusa nella soluzione ottima del problema. \n \n ## Esempi\n \n - _Problema dello zaino_\n - ...\n \n > Il cammino minimo per raggiungere un nodo in un DAG è dato da `arco.costo + arco.primo_nodo.costo_cammino_minimo()`.\n >\n > ```python\n > def SPD_PD(graph, start):\n > distance = [float(inf) for node in graph.nodes]:\n > distance[start] = 0\n > # I nodi devono essere in ordine di linearizzazione\n > for node in graph.nodes:\n > distance[node] = min([(arc.cost + distance[arc.other(node)] for arc in node.connections])\n > ```\n \n > Ho una sequenza di interi da `a_1` a `a_n`. Voglio trovare la sottosequenza crescente più lunga.\n >\n > 5 2 3 4 7 3 6 3 1 6\n >\n > Trovo tutte le sequenze lunghe 1, e le rendo nodi di un grafo diretto.\n >\n > Da ogni nodo, creo una connessione verso i suoi maggiori.\n >\n > Infine, cerco i cammini massimi del grafo. \n > \n > Essi saranno la soluzione del problema.\n \n > Trova la lunghezza della sottosequenza più lunga che termina con `j`.\n >\n > `L[j]` = lunghezza della sottosequenza più lunga che termina in `j`\n > \n > ```python\n > L[j] = max([1 + L[node] for arc in node.connections)]\n > ```\n >\n > Esempio:\n > ```python\n > L[9] = max([1+L[8], 1+L[3], 1+L[6]])\n > ```\n ")),n(a.a,null,n(o.a,null,"\n # Problema dello zaino\n \n Il problema dello zaino è un problema _pseudo-trattabile_: non abbiamo dimostrazioni di se sia trattabile o intrattabile.\n \n ## Descrizione\n \n > Sei un ladro, e devi mettere **più refurtiva possibile** nello zaino per scappare. \n > Lo zaino può portare **al massimo `dim` kili**.\n >\n > **Quali** (e quanti) oggetti scegli?\n \n | Input | Output |\n |-------|--------|\n | `dim`ensione_zaino, `n`umero_oggetti, `oggetto.peso`, `oggetto.valore` | `profitto_massimo` |\n \n ## Categorie\n \n ### Problema con ripetizione\n \n Puoi prendere **tutte le copie che vuoi** di un oggetto.\n \n #### Soluzione\n \n `K(dim)` è il valore massimo ottenibile con uno zaino di capacità `dim`.\n \n > Se `i` appartenesse alla soluzione ottima, allora `K(dim) = i.valore + K(dim - i.peso)`...\n \n Possiamo dire che `K(dim) = max(i.valore + K(dim - i.peso))`.\n \n Inoltre, `K(0) = 0`.\n \n Ci salviamo tutte le soluzioni da `K(0)` a `K(dim)`, e le usiamo per calcolare il massimo in seguito.\n \n Calcolare `K(dim)` avrà allora un costo di `O(n * dim)`:\n - `n`, perchè trovare il massimo è un'operazione lineare\n - `dim`, perchè `dim` sono tutti i casi tra i quali devo andare a provare\n \n Il costo computazionale, allora, è in `O(n * dim)`. \n \n Però, il **tempo richiesto** dal nostro algoritmo dipende non dalla lunghezza dell'input, bensì dal **valore numerico** di `dim`, che corrisponde alla dimensione dell'array delle soluzioni. \n Allora, si dice che l'algoritmo è in **tempo _pseudo-polinomiale_**.\n \n ### Problema senza ripetizione\n \n Si può prendere **ogni oggetto una volta sola**.\n \n #### Soluzione _bruteforce_\n \n Scelgo se prendere o no l'item 1.\n \n Si creano due percorsi:\n - Non prendo l'oggetto: `valore = 0, peso = 0`\n - Prendo l'oggetto: `valore = oggetto.valore, peso = oggetto.peso`\n \n Continuo a creare percorsi, creando una specie di albero binario.\n \n Se a un certo punto vedo che `valore = x, peso = K` e `valore < x, peso = K`, allora posso escludere automaticamente tutto il sottoalbero destro, perchè non può essere migliore del sinistro: allora, sarò riuscito a ridurre il numero dei casi rispetto alla ricorsione.\n \n ### Problema in due variabili\n \n `K(j, w)` = massimo valore ottenibile con uno zaino di capacità `w` scegliendo gli item da `1` a `j`.\n \n Non possiamo più applicare la soluzione bruteforce, perchè abbiamo due variabili, `j` e `w`.\n \n Allora, prendo l'elemento `j`. Esso può essere o non essere nella soluzione: mi calcolo entrambe le alternative, e mi tengo l'alternativa dal valore più alto.\n \n Se `j` non è nella soluzione, il risultato diventerà `K(j-1, w)`; se invece è nella soluzione, il risultato sarà `j.valore + K(j-1, w-j.peso)`.\n \n In pratica, prendiamo\n \n ```latex\n K(j, w) = max\n \\begin{cases}\n V_j + K(j-1, w-w_j)\n K(j-1, w)\n \\end{cases}\n ```\n \n Costruisco allora una matrice con `j` su un asse e `w` sull'altro. \n Riempio le caselle con il valore di `K(j, w)`. \n Nella casella con `K(j, w)` avremo la soluzione ottima.\n \n Il tempo necessario per riempire tutte le caselle è nuovamente `O(n * w)`, ancora **pseudopolinomiale**.\n \n Per sapere che oggetti ho messo o no devo tenere traccia in qualche modo della catena del calcolo, usando, ad esempio, una pila.\n ")),n(a.a,null,n(o.a,null,"\n # Problemi intrattabili\n \n ## Problema di Set-Cover\n \n ### Input\n \n `U`niverso di `e`lementi\n \n `S`ottoinsieme di `s`ottoinsiemi di elementi di `U`\n \n ### Output\n \n Il minimo `S'`ottoinsieme di `s`ottoinsiemi che copra completamente `U`.\n \n ### Soluzione in `O(n^d)`\n \n Non c'è.\n \n ### Non-soluzione alternativa\n \n Faccio una scelta greedy, ma non posso dimostrare in alcun modo che la soluzione ottenuta sia quella ottima. \n Infatti, l'algoritmo non dà sempre la soluzione ottima, ma dà una soluzione accettabile in tempo polinomiale.\n \n Seleziono sempre il sottoinsieme che copre più elementi mancanti possibili.\n \n #### Costo computazionale\n \n `Costo greedy <= log(numero_elementi) * Costo ottimo`\n ")))}}.call(this,i("hosL").h)}}]); -//# sourceMappingURL=route-AlgoritmiEStruttureDati.chunk.92b93.esm.js.map \ No newline at end of file diff --git a/docs/route-ApprendimentoSistemiArtificiali.chunk.11a6f.esm.js b/docs/route-ApprendimentoSistemiArtificiali.chunk.11a6f.esm.js new file mode 100644 index 0000000..82ceac4 --- /dev/null +++ b/docs/route-ApprendimentoSistemiArtificiali.chunk.11a6f.esm.js @@ 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{Component} from 'preact'\nimport Section from \"../components/Elements/Section\";\nimport Panel from \"../components/Elements/Panel\";\nimport Example from \"../components/Elements/Example\";\nimport Code from \"../components/Rendering/Code\";\nimport Timer from \"../components/Elements/Timer\";\nimport Todo from \"../components/Elements/Todo\";\n\n\nexport default function(props) {\n return (\n
\n

Apprendimento ed evoluzione in sistemi artificiali

\n
\n \n \n \n \n

\n Se sei uno studente dell'Unimore, puoi accedere all'archivio del corso su Google Drive.\n

\n \n
\n
\n \n
    \n
  • Scegli 2 tra 6 domande possibili
    • \n
  • 90 minuti
    • \n
\n \n \n
    \n
    2. \n
    3. \n
    4. \n
\n \n
\n
\n \n

\n NetLogo è un software di modellazione sistemi multiagente, da noi usato per le lezioni di laboratorio.\n

\n

\n Si può scaricare o usare da browser.\n

\n

\n Il suo codice sorgente è disponibile su GitHub, e ha una pagina di documentazione.\n

\n

\n Consulta i miei appunti su NetLogo qui!\n

\n \n
\n
\n \n

\n Sono sistemi con le seguenti caratteristiche:\n

\n
    \n
  • Autonomia: agiscono gli uni indipendentemente dagli altri
    • \n
  • Reattività: percepiscono ciò che sta nel loro ambiente e reagiscono ai cambiamenti di quest'ultimo
    • \n
  • Proattività: agiscono in maniera tale da portare a termine i loro obiettivi
    • \n
  • Socialità: comunicano con gli altri agenti, scambiando informazioni
    • \n
\n \n \n

\n Hanno anche caratteristiche di livello più alto derivate dalle quattro precedenti:\n

\n
    \n
  • Conoscenza
    • \n
  • Intenzioni
    • \n
  • Emozioni
    • \n
  • Obblighi
    • \n
  • Obiettivi
    • \n
  • etc...
    • \n
\n \n \n

\n Gli agenti solitamente hanno anche:\n

\n
    \n
  • Mobilità: possono muoversi nell'ambiente
    • \n
  • Veridicità: producono informazioni corrette
    • \n
  • Benevolenza: agiscono nel modo corretto
    • \n
  • Razionalità: compiono le azioni necessarie per raggiungere i loro obiettivi, e non altre che glielo impedirebbero
    • \n
\n \n
\n
\n \n

\n Lo sviluppo negli agenti di nuove capacità per cui non erano stati programmati.\n

\n \n Ad esempio, la Swarm Intelligence, descritta dopo!\n \n \n
\n
\n \n

\n Classificazione in base a come prende le decisioni un agente:\n

\n
    \n
  • Logic-based: prende le decisioni attraverso deduzioni logiche
    • \n
  • Reactive: mappa una reazione a ogni situazione dell'ambiente
    • \n
  • Belief-desire-intention: per decidere, considera le proprie assunzioni sul mondo (belief), i propri desideri (desire) e le sue intenzioni correnti (intention)
    • \n
  • Layered: utilizza diversi strati di capacità cognitive per giungere a una decisione
    • \n
\n \n \n

\n Classificazione in base a come sono definiti gli obiettivi di un agente:\n

\n
    \n
  • Teleonomico: gli obiettivi sono predefiniti ed espliciti
    • \n
  • Riflessivo: l'agente è libero di scegliere il suo obiettivo in base alle proprie percezioni interne
    • \n
\n \n \n

\n Classificazione in base a quanto conosce dell'ambiente un agente:\n

\n
    \n
  • Cognitivo: l'agente è immediatamente a conoscenza di tutto l'ambiente
    • \n
  • Reattivo: l'agente deve scoprire l'ambiente con le sue capacità sensoriali
    • \n
\n \n
\n
\n \n
    \n
  • Distribuzione: più agenti possono coprire aree di ambiente più vaste, o elaborare più in fretta zone più dense di informazione
    • \n
  • Rappresentazione: i sistemi multi-agente modellano più accuratamente il mondo reale
    • \n
\n \n \n

\n Comportamento emergente che si manifesta nei sistemi multiagente con tantissimi agenti.\n

\n

\n Indica la capacità di risoluzione di problemi complessi attraverso la collaborazione di più agenti semplici.\n

\n \n
\n
\n \n

\n Meccanismi simili a quelli evolutivi umani che permettono ai tratti degli agenti di convergere verso un valore.\n

\n \n \n

\n Inizialmente definita come numero di discendenti fertili, solitamente indica quanto è probabile che i tratti di un individuo siano passati alla generazione successiva.\n

\n \n \n

\n Sequenza di valori che definisce uno o più tratti di un individuo.\n

\n \n \n

\n Un insieme di individui aventi tutti gli stessi cromosomi.\n

\n \n \n

\n Fenomeno che causa una piccola variazione casuale nei cromosomi dei figli.\n

\n

\n Previene la convergenza prematura in un sistema.\n

\n \n \n

\n Meccanismo di costruzione dei cromosomi in un figlio: i cromosomi dei genitori vengono tagliati nello stesso punto scelto a caso, e per costruire quelli del figlio viene presa una parte dal padre e l'altra parte dalla madre.\n

\n

\n Può portare al miglioramento di un individuo e allo sviluppo di nuovi tratti, ma solo nelle parti di cromosoma che sono diverse tra i due genitori.\n

\n \n \n

\n Sequenza di valori all'interno di un cromosoma, che può includere anche sezioni in cui il valore è irrilevante.\n

\n

\n Gli algoritmi genetici permettono di trovare gli schemi con la fitness più alta in assoluto in un tempo relativamente breve: il sistema generalmente favorisce gli schemi corti con fitness alta.\n

\n \n \n

\n Situazione in cui si è raggiunta una soluzione non-ottimale a causa dell'assenza di novità nel sistema.\n

\n

\n Si può impedire con vari metodi: con la mutazione, introducendo requisiti di località per l'accoppiamento, scegliendo diversamente i genitori, etc...\n

\n \n
\n
\n \n

\n Programmi che dati tanti esempi sono in grado di classificare un elemento in una o più categorie.\n

\n

\n Sono formati da classificatori, liste di messaggi, detettori e effettori.\n

\n \n
\n
\n \n

\n Strutture logiche che elaborano i messaggi.\n

\n

\n Valutano una espressione logica (condizione) sui messaggi in arrivo, e se questa risulta essere vera, emettono un nuovo messaggio in risposta (azione).\n

\n \n Condizione e azione possono essere considerati come due cromosomi di un algoritmo genetico!\n \n \n \n

\n Unità di informazione di un sistema a classificatori: sono generati da detettori e classificatori, e consumati da classificatori ed effettori.\n

\n \n \n

\n Sensori che percepiscono lo stato dell'ambiente esterno e lo riportano sotto forma di messaggi.\n

\n \n \n

\n Motori che rispondono ai messaggi effettuando una qualche azione nell'ambiente.\n

\n \n
\n
\n \n

\n Un punteggio associato ad ogni classificatore.\n

\n

\n Più un classificatore viene attivato, più la sua forza crescerà. TODO: siamo sicuri?\n

\n \n I classificatori più deboli vengono lentamente eliminati!\n \n \n \n

\n Il numero di condizioni che devono essere soddisfatte perchè il classificatore si attivi.\n

\n \n \n

\n Prodotto di specificità e forza di un classificatore.\n

\n

\n Rappresenta quanto è probabile che venga utilizzato un dato classificatore nel caso che le condizioni di più di uno vengano soddisfatte.\n

\n \n La fitness degli algoritmi genetici.\n \n \n
\n
\n \n

\n Se l'input non soddisfa nessun classificatore esistenze, se ne crea uno nuovo con azione casuale.\n

\n \n \n

\n Se non viene prodotto nessun messaggio valido di output, si genera un nuovo classificatore che ne produce uno casuale a partire dall'input.\n

\n TODO: che differenza c'è con un detector?\n \n
\n
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\n

Apprendimento ed evoluzione in sistemi artificiali

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\n Se sei uno studente dell'Unimore, puoi accedere all'archivio del corso su Google Drive.\n

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  • Scegli 2 tra 6 domande possibili
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  • 90 minuti
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    2. \n
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    4. \n
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\n NetLogo è un software di modellazione sistemi multiagente, da noi usato per le lezioni di laboratorio.\n

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\n Si può scaricare o usare da browser.\n

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\n Il suo codice sorgente è disponibile su GitHub, e ha una pagina di documentazione.\n

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\n Consulta i miei appunti su NetLogo qui!\n

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\n Sono sistemi con le seguenti caratteristiche:\n

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  • Autonomia: agiscono gli uni indipendentemente dagli altri
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  • Reattività: percepiscono ciò che sta nel loro ambiente e reagiscono ai cambiamenti di quest'ultimo
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  • Proattività: agiscono in maniera tale da portare a termine i loro obiettivi
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  • Socialità: comunicano con gli altri agenti, scambiando informazioni
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\n Hanno anche caratteristiche di livello più alto derivate dalle quattro precedenti:\n

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  • Conoscenza
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  • Intenzioni
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  • Emozioni
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  • Obblighi
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  • Obiettivi
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  • etc...
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\n Gli agenti solitamente hanno anche:\n

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  • Mobilità: possono muoversi nell'ambiente
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  • Veridicità: producono informazioni corrette
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  • Benevolenza: agiscono nel modo corretto
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  • Razionalità: compiono le azioni necessarie per raggiungere i loro obiettivi, e non altre che glielo impedirebbero
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\n Lo sviluppo negli agenti di nuove capacità per cui non erano stati programmati.\n

\n \n Ad esempio, la Swarm Intelligence, descritta dopo!\n \n \n
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\n Classificazione in base a come prende le decisioni un agente:\n

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  • Logic-based: prende le decisioni attraverso deduzioni logiche
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  • Reactive: mappa una reazione a ogni situazione dell'ambiente
    • \n
  • Belief-desire-intention: per decidere, considera le proprie assunzioni sul mondo (belief), i propri desideri (desire) e le sue intenzioni correnti (intention)
    • \n
  • Layered: utilizza diversi strati di capacità cognitive per giungere a una decisione
    • \n
\n \n \n

\n Classificazione in base a come sono definiti gli obiettivi di un agente:\n

\n
    \n
  • Teleonomico: gli obiettivi sono predefiniti ed espliciti
    • \n
  • Riflessivo: l'agente è libero di scegliere il suo obiettivo in base alle proprie percezioni interne
    • \n
\n \n \n

\n Classificazione in base a quanto conosce dell'ambiente un agente:\n

\n
    \n
  • Cognitivo: l'agente è immediatamente a conoscenza di tutto l'ambiente
    • \n
  • Reattivo: l'agente deve scoprire l'ambiente con le sue capacità sensoriali
    • \n
\n \n
\n
\n \n
    \n
  • Distribuzione: più agenti possono coprire aree di ambiente più vaste, o elaborare più in fretta zone più dense di informazione
    • \n
  • Rappresentazione: i sistemi multi-agente modellano più accuratamente il mondo reale
    • \n
\n \n \n

\n Comportamento emergente che si manifesta nei sistemi multiagente con tantissimi agenti.\n

\n

\n Indica la capacità di risoluzione di problemi complessi attraverso la collaborazione di più agenti semplici.\n

\n \n
\n
\n \n

\n Meccanismi simili a quelli evolutivi umani che permettono ai tratti degli agenti di convergere verso un valore.\n

\n \n \n

\n Inizialmente definita come numero di discendenti fertili, solitamente indica quanto è probabile che i tratti di un individuo siano passati alla generazione successiva.\n

\n \n \n

\n Sequenza di valori che definisce uno o più tratti di un individuo.\n

\n \n \n

\n Un insieme di individui aventi tutti gli stessi cromosomi.\n

\n \n \n

\n Fenomeno che causa una piccola variazione casuale nei cromosomi dei figli.\n

\n

\n Previene la convergenza prematura in un sistema.\n

\n \n \n

\n Meccanismo di costruzione dei cromosomi in un figlio: i cromosomi dei genitori vengono tagliati nello stesso punto scelto a caso, e per costruire quelli del figlio viene presa una parte dal padre e l'altra parte dalla madre.\n

\n

\n Può portare al miglioramento di un individuo e allo sviluppo di nuovi tratti, ma solo nelle parti di cromosoma che sono diverse tra i due genitori.\n

\n \n \n

\n Sequenza di valori all'interno di un cromosoma, che può includere anche sezioni in cui il valore è irrilevante.\n

\n

\n Gli algoritmi genetici permettono di trovare gli schemi con la fitness più alta in assoluto in un tempo relativamente breve: il sistema generalmente favorisce gli schemi corti con fitness alta.\n

\n \n \n

\n Situazione in cui si è raggiunta una soluzione non-ottimale a causa dell'assenza di novità nel sistema.\n

\n

\n Si può impedire con vari metodi: con la mutazione, introducendo requisiti di località per l'accoppiamento, scegliendo diversamente i genitori, etc...\n

\n \n
\n
\n \n

\n Programmi che dati tanti esempi sono in grado di classificare un elemento in una o più categorie.\n

\n

\n Sono formati da classificatori, liste di messaggi, detettori e effettori.\n

\n \n
\n
\n \n

\n Strutture logiche che elaborano i messaggi.\n

\n

\n Valutano una espressione logica (condizione) sui messaggi in arrivo, e se questa risulta essere vera, emettono un nuovo messaggio in risposta (azione).\n

\n \n Condizione e azione possono essere considerati come due cromosomi di un algoritmo genetico!\n \n \n \n

\n Unità di informazione di un sistema a classificatori: sono generati da detettori e classificatori, e consumati da classificatori ed effettori.\n

\n \n \n

\n Sensori che percepiscono lo stato dell'ambiente esterno e lo riportano sotto forma di messaggi.\n

\n \n \n

\n Motori che rispondono ai messaggi effettuando una qualche azione nell'ambiente.\n

\n \n
\n
\n \n

\n Un punteggio associato ad ogni classificatore.\n

\n

\n Più un classificatore viene attivato, più la sua forza crescerà.\n

\n \n I classificatori più deboli vengono lentamente eliminati!\n \n \n \n

\n Il numero di condizioni che devono essere soddisfatte perchè il classificatore si attivi.\n

\n \n \n

\n Prodotto di specificità e forza di un classificatore.\n

\n

\n Rappresenta quanto è probabile che venga utilizzato un dato classificatore nel caso che le condizioni di più di uno vengano soddisfatte.\n

\n \n La fitness degli algoritmi genetici.\n \n \n
\n
\n \n

\n Se l'input non soddisfa nessun classificatore esistente, se ne crea uno nuovo con una azione casuale.\n

\n \n \n

\n Se i classificatori emettono in output un messaggio\n

\n \n
\n
\n \n

\n Non è importante l'architettura fisica di un intelligenza, ma solo la sua capacità di elaborare simboli.\n

\n \n TODO: è una teoria, una filosofia o cosa? Come si collega alla Stanza Cinese?\n \n \n \n

\n Agenti che possono collegarsi tra loro tramite sinapsi (dirette) e ricevere ed emettere impulsi lungo di esse.\n

\n

\n Gli impulsi ricevuti vengono temporaneamente memorizzati dal neurone attraverso valori che decadono nel tempo.\n

\n

\n Se la somma dei valori di tutti gli impulsi ricevuti è maggiore di una certa soglia, allora il neurone emetterà un impulso.\n

\n \n
\n
\n \n

\n Un modello semplificato di rete neurale in cui vengono considerati solo tempi discreti, e non è presente la memorizzazione degli impulsi nel tempo.\n

\n \n È importante perchè dimostra che le reti neurali possono elaborare qualsiasi cosa, ma incompleto perchè non descrive nessun metodo per la loro creazione automatica.\n \n \n \n

\n I neuroni emettono in un dato istante se la somma dei loro impulsi nell'istante precedente è maggiore o uguale a 1.\n

\n \n \n

\n Le sinapsi hanno una intensità: è un moltiplicatore che viene applicato a tutti gli impulsi transitanti la sinapsi.\n

\n \n
\n
\n \n

\n Un neurone con una sinapsi entrante con intensità {r`-1`}.\n

\n \n \n

\n Un neurone con due o più sinapsi entranti con intensità {r`1`}.\n

\n \n \n

\n Un neurone con due o più sinapsi entranti con intensità {r`\\frac{1}{numero\\ sinapsi}`}.\n

\n \n
\n
\n \n

\n Un'estensione del modello booleano per permettere l'apprendimento automatico delle configurazioni giuste di neuroni.\n

\n

\n Tra le altre cose, proibisce sinapsi entranti e uscenti dallo stesso neurone.\n

\n \n \n \n \n Simbolo\n Descrizione\n \n \n \n \n {r`N`}\n Numero totale di neuroni nel sistema\n \n \n {r`n`}\n Numero di un neurone specifico\n \n \n {r`w_nm`}\n Intensità della sinapsi diretta da {r`n`} verso {r`m`}\n \n \n {r`\\theta_n`}\n Soglia di attivazione del neurone {r`n`}\n \n \n {r`x_n(t)`}\n Emissione del neurone {r`n`} nel momento {r`t`}\n \n \n {r`X(t)`}\n Vettore contenente tutte le emissioni dei neuroni nel momento {r`t`}\n \n \n {r`I_n(X(t))`}\n Somma degli ingressi del neurone {r`n`} nel momento {r`t`}\n \n \n {r`A`}\n Un pattern di neuroni\n \n \n {r`a_i`}\n Un neurone appartenente a un pattern\n \n \n {r`Q(A, B)`}\n Sovrapposizione tra il pattern {r`A`} e il pattern {r`B`}\n \n \n \n \n

\n In ogni istante, i neuroni emettono:\n

\n
    \n
  • {r`0`} se gli input sono inferiori alla soglia
    • \n
  • {r`1`} se gli input superano la soglia
    • \n
  • il valore precedente se gli input sono uguali alla soglia
    • \n
\n \n
\n
\n \n

\n Se le connessioni sono simmetriche, la rete neurale tenderà a un punto fisso: il sistema evolve fino a raggiungere un attrattore.\n

\n

\n TODO: E quindi...?\n

\n \n \n

\n Un metodo per realizzare l'apprendimento nel modello di Hopfield.\n

\n

\n Si incrementa l'intensità delle sinapsi che connettono neuroni nello stesso stato, e invece si decrementa l'intensità di quelle che connettono neuroni in stati opposti.\n

\n

\n Considerando i neuroni spenti e quelli accesi come {r`0`} e {r`1`} rispettivamente, si ha che per ogni pattern:\n

\n {r`\n \\Delta w_{ik} = (2 \\cdot A_i - 1)(2 \\cdot A_k - 1)\n `}\n \n Così facendo, si insegna sia il pattern normale sia il suo complementare!\n \n

\n TODO: Dopo ci sono tante dimostrazioni...\n

\n \n
\n
\n )\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"inline\":\"inline__1yl8V\",\"block\":\"block__fPiiB\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"todo\":\"todo__2IWIS\"};","import Split from \"../Layout/Split\";\nimport {Fragment} from \"preact\";\n\nexport default function (props) {\n return (\n \n

\n {props.title}\n

\n \n {props.children}\n \n \n );\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"title\":\"title__3ZVpg\",\"contents\":\"contents__20_NI\"};","import {createContext} from \"preact\";\n\nexport default createContext(null);\n","import style from './Latex.less';\nimport {useContext} from \"preact/hooks\";\nimport LatexRenderColor from \"../../contexts/LatexRenderColor\";\nimport LatexDefaultInline from \"../../contexts/LatexDefaultInline\";\nimport LatexDefaultDisplay from \"../../contexts/LatexDefaultDisplay\";\n\nexport const LatexDisplay = Object.freeze({\n INLINE: style.inline,\n BLOCK: style.block,\n})\n\nexport default function(props) {\n // black, blue, brown, cyan, darkgray, gray, green, lightgray, lime, magenta, olive, orange, pink, purple, red, teal, violet, white, yellow\n let renderColor = useContext(LatexRenderColor);\n let defaultInline = useContext(LatexDefaultInline);\n let defaultDisplay = useContext(LatexDefaultDisplay);\n\n let inline;\n if(props.inline === undefined) {\n inline = defaultInline;\n }\n else {\n inline = props.inline;\n }\n\n let display;\n if(props.display === undefined) {\n if(defaultDisplay === null) {\n display = LatexDisplay.INLINE;\n }\n else {\n display = defaultDisplay;\n }\n }\n else {\n display = props.display;\n }\n\n if(inline) {\n let equation = `\\\\inline {\\\\color{${renderColor}} ${props.children} }`;\n return (\n {props.children}\n\n );\n }\n else {\n let equation = `{\\\\color{${renderColor}} ${props.children} }`;\n return (\n {props.children}\n\n );\n }\n}\n","import {Component} from 'preact'\nimport style from \"./Timer.less\"\n\n\nexport default class Timer extends Component {\n constructor() {\n super();\n this.state = {\n \"now\": Date.now()\n };\n this.timer = null;\n }\n\n componentDidMount() {\n this.timer = setInterval(() => {\n this.setState({\"now\": Date.now()})\n }, 1000)\n }\n\n componentWillUnmount() {\n if(this.timer !== null) {\n clearInterval(this.timer)\n }\n }\n\n render() {\n let dateTo = \"Unknown date\";\n let className = style.timer;\n\n let parts = {\n milliseconds: \"?\",\n seconds: \"?\",\n minutes: \"?\",\n hours: \"?\",\n days: \"?\",\n };\n\n if(this.props.to) {\n dateTo = new Date(this.props.to);\n let timeLeft = dateTo - this.state.now;\n\n if(timeLeft > 0) {\n parts = {\n milliseconds: timeLeft % 1000,\n seconds: Math.floor(timeLeft / 1000) % 60,\n minutes: Math.floor(timeLeft / 60000) % 60,\n hours: Math.floor(timeLeft / 3600000) % 24,\n days: Math.floor(timeLeft / 86400000),\n };\n }\n\n else {\n parts = {\n milliseconds: 0,\n seconds: 0,\n minutes: 0,\n hours: 0,\n days: 0,\n };\n\n className += \" \" + style.expired;\n }\n }\n else {\n className += \" \" + style.unknown;\n }\n\n return (\n
\n
\n {parts.days}\n
\n
\n giorni\n
\n
\n {parts.hours}\n
\n
\n ore\n
\n
\n {parts.minutes}\n
\n
\n minuti\n
\n
\n {parts.seconds}\n
\n
\n secondi\n
\n
\n )\n }\n}\n","import { options } from 'preact';\n\n/** @type {number} */\nlet currentIndex;\n\n/** @type {import('./internal').Component} */\nlet currentComponent;\n\n/** @type {number} */\nlet currentHook = 0;\n\n/** @type {Array} */\nlet afterPaintEffects = [];\n\nlet oldBeforeRender = options._render;\nlet oldAfterDiff = options.diffed;\nlet oldCommit = options._commit;\nlet oldBeforeUnmount = options.unmount;\n\nconst RAF_TIMEOUT = 100;\nlet prevRaf;\n\noptions._render = vnode => {\n\tif (oldBeforeRender) oldBeforeRender(vnode);\n\n\tcurrentComponent = vnode._component;\n\tcurrentIndex = 0;\n\n\tconst hooks = currentComponent.__hooks;\n\tif (hooks) {\n\t\thooks._pendingEffects.forEach(invokeCleanup);\n\t\thooks._pendingEffects.forEach(invokeEffect);\n\t\thooks._pendingEffects = [];\n\t}\n};\n\noptions.diffed = vnode => {\n\tif (oldAfterDiff) oldAfterDiff(vnode);\n\n\tconst c = vnode._component;\n\tif (c && c.__hooks && c.__hooks._pendingEffects.length) {\n\t\tafterPaint(afterPaintEffects.push(c));\n\t}\n};\n\noptions._commit = (vnode, commitQueue) => {\n\tcommitQueue.some(component => {\n\t\ttry {\n\t\t\tcomponent._renderCallbacks.forEach(invokeCleanup);\n\t\t\tcomponent._renderCallbacks = component._renderCallbacks.filter(cb =>\n\t\t\t\tcb._value ? invokeEffect(cb) : true\n\t\t\t);\n\t\t} catch (e) {\n\t\t\tcommitQueue.some(c => {\n\t\t\t\tif (c._renderCallbacks) c._renderCallbacks = [];\n\t\t\t});\n\t\t\tcommitQueue = [];\n\t\t\toptions._catchError(e, component._vnode);\n\t\t}\n\t});\n\n\tif (oldCommit) oldCommit(vnode, commitQueue);\n};\n\noptions.unmount = vnode => {\n\tif (oldBeforeUnmount) oldBeforeUnmount(vnode);\n\n\tconst c = vnode._component;\n\tif (c && c.__hooks) {\n\t\ttry {\n\t\t\tc.__hooks._list.forEach(invokeCleanup);\n\t\t} catch (e) {\n\t\t\toptions._catchError(e, c._vnode);\n\t\t}\n\t}\n};\n\n/**\n * Get a hook's state from the currentComponent\n * @param {number} index The index of the hook to get\n * @param {number} type The index of the hook to get\n * @returns {import('./internal').HookState}\n */\nfunction getHookState(index, type) {\n\tif (options._hook) {\n\t\toptions._hook(currentComponent, index, currentHook || type);\n\t}\n\tcurrentHook = 0;\n\n\t// Largely inspired by:\n\t// * https://github.com/michael-klein/funcy.js/blob/f6be73468e6ec46b0ff5aa3cc4c9baf72a29025a/src/hooks/core_hooks.mjs\n\t// * https://github.com/michael-klein/funcy.js/blob/650beaa58c43c33a74820a3c98b3c7079cf2e333/src/renderer.mjs\n\t// Other implementations to look at:\n\t// * https://codesandbox.io/s/mnox05qp8\n\tconst hooks =\n\t\tcurrentComponent.__hooks ||\n\t\t(currentComponent.__hooks = {\n\t\t\t_list: [],\n\t\t\t_pendingEffects: []\n\t\t});\n\n\tif (index >= hooks._list.length) {\n\t\thooks._list.push({});\n\t}\n\treturn hooks._list[index];\n}\n\n/**\n * @param {import('./index').StateUpdater} initialState\n */\nexport function useState(initialState) {\n\tcurrentHook = 1;\n\treturn useReducer(invokeOrReturn, initialState);\n}\n\n/**\n * @param {import('./index').Reducer} reducer\n * @param {import('./index').StateUpdater} initialState\n * @param {(initialState: any) => void} [init]\n * @returns {[ any, (state: any) => void ]}\n */\nexport function useReducer(reducer, initialState, init) {\n\t/** @type {import('./internal').ReducerHookState} */\n\tconst hookState = getHookState(currentIndex++, 2);\n\thookState._reducer = reducer;\n\tif (!hookState._component) {\n\t\thookState._component = currentComponent;\n\n\t\thookState._value = [\n\t\t\t!init ? invokeOrReturn(undefined, initialState) : init(initialState),\n\n\t\t\taction => {\n\t\t\t\tconst nextValue = hookState._reducer(hookState._value[0], action);\n\t\t\t\tif (hookState._value[0] !== nextValue) {\n\t\t\t\t\thookState._value[0] = nextValue;\n\t\t\t\t\thookState._component.setState({});\n\t\t\t\t}\n\t\t\t}\n\t\t];\n\t}\n\n\treturn hookState._value;\n}\n\n/**\n * @param {import('./internal').Effect} callback\n * @param {any[]} args\n */\nexport function useEffect(callback, args) {\n\t/** @type {import('./internal').EffectHookState} */\n\tconst state = getHookState(currentIndex++, 3);\n\tif (!options._skipEffects && argsChanged(state._args, args)) {\n\t\tstate._value = callback;\n\t\tstate._args = args;\n\n\t\tcurrentComponent.__hooks._pendingEffects.push(state);\n\t}\n}\n\n/**\n * @param {import('./internal').Effect} callback\n * @param {any[]} args\n */\nexport function useLayoutEffect(callback, args) {\n\t/** @type {import('./internal').EffectHookState} */\n\tconst state = getHookState(currentIndex++, 4);\n\tif (!options._skipEffects && argsChanged(state._args, args)) {\n\t\tstate._value = callback;\n\t\tstate._args = args;\n\n\t\tcurrentComponent._renderCallbacks.push(state);\n\t}\n}\n\nexport function useRef(initialValue) {\n\tcurrentHook = 5;\n\treturn useMemo(() => ({ current: initialValue }), []);\n}\n\n/**\n * @param {object} ref\n * @param {() => object} createHandle\n * @param {any[]} args\n */\nexport function useImperativeHandle(ref, createHandle, args) {\n\tcurrentHook = 6;\n\tuseLayoutEffect(\n\t\t() => {\n\t\t\tif (typeof ref == 'function') ref(createHandle());\n\t\t\telse if (ref) ref.current = createHandle();\n\t\t},\n\t\targs == null ? args : args.concat(ref)\n\t);\n}\n\n/**\n * @param {() => any} factory\n * @param {any[]} args\n */\nexport function useMemo(factory, args) {\n\t/** @type {import('./internal').MemoHookState} */\n\tconst state = getHookState(currentIndex++, 7);\n\tif (argsChanged(state._args, args)) {\n\t\tstate._args = args;\n\t\tstate._factory = factory;\n\t\treturn (state._value = factory());\n\t}\n\n\treturn state._value;\n}\n\n/**\n * @param {() => void} callback\n * @param {any[]} args\n */\nexport function useCallback(callback, args) {\n\tcurrentHook = 8;\n\treturn useMemo(() => callback, args);\n}\n\n/**\n * @param {import('./internal').PreactContext} context\n */\nexport function useContext(context) {\n\tconst provider = currentComponent.context[context._id];\n\t// We could skip this call here, but than we'd not call\n\t// `options._hook`. We need to do that in order to make\n\t// the devtools aware of this hook.\n\tconst state = getHookState(currentIndex++, 9);\n\t// The devtools needs access to the context object to\n\t// be able to pull of the default value when no provider\n\t// is present in the tree.\n\tstate._context = context;\n\tif (!provider) return context._defaultValue;\n\t// This is probably not safe to convert to \"!\"\n\tif (state._value == null) {\n\t\tstate._value = true;\n\t\tprovider.sub(currentComponent);\n\t}\n\treturn provider.props.value;\n}\n\n/**\n * Display a custom label for a custom hook for the devtools panel\n * @type {(value: T, cb?: (value: T) => string | number) => void}\n */\nexport function useDebugValue(value, formatter) {\n\tif (options.useDebugValue) {\n\t\toptions.useDebugValue(formatter ? formatter(value) : value);\n\t}\n}\n\nexport function useErrorBoundary(cb) {\n\tconst state = getHookState(currentIndex++, 10);\n\tconst errState = useState();\n\tstate._value = cb;\n\tif (!currentComponent.componentDidCatch) {\n\t\tcurrentComponent.componentDidCatch = err => {\n\t\t\tif (state._value) state._value(err);\n\t\t\terrState[1](err);\n\t\t};\n\t}\n\treturn [\n\t\terrState[0],\n\t\t() => {\n\t\t\terrState[1](undefined);\n\t\t}\n\t];\n}\n\n/**\n * After paint effects consumer.\n */\nfunction flushAfterPaintEffects() {\n\tafterPaintEffects.some(component => {\n\t\tif (component._parentDom) {\n\t\t\ttry {\n\t\t\t\tcomponent.__hooks._pendingEffects.forEach(invokeCleanup);\n\t\t\t\tcomponent.__hooks._pendingEffects.forEach(invokeEffect);\n\t\t\t\tcomponent.__hooks._pendingEffects = [];\n\t\t\t} catch (e) {\n\t\t\t\tcomponent.__hooks._pendingEffects = [];\n\t\t\t\toptions._catchError(e, component._vnode);\n\t\t\t\treturn true;\n\t\t\t}\n\t\t}\n\t});\n\tafterPaintEffects = [];\n}\n\n/**\n * Schedule a callback to be invoked after the browser has a chance to paint a new frame.\n * Do this by combining requestAnimationFrame (rAF) + setTimeout to invoke a callback after\n * the next browser frame.\n *\n * Also, schedule a timeout in parallel to the the rAF to ensure the callback is invoked\n * even if RAF doesn't fire (for example if the browser tab is not visible)\n *\n * @param {() => void} callback\n */\nfunction afterNextFrame(callback) {\n\tconst done = () => {\n\t\tclearTimeout(timeout);\n\t\tcancelAnimationFrame(raf);\n\t\tsetTimeout(callback);\n\t};\n\tconst timeout = setTimeout(done, RAF_TIMEOUT);\n\n\tlet raf;\n\tif (typeof window != 'undefined') {\n\t\traf = requestAnimationFrame(done);\n\t}\n}\n\n// Note: if someone used options.debounceRendering = requestAnimationFrame,\n// then effects will ALWAYS run on the NEXT frame instead of the current one, incurring a ~16ms delay.\n// Perhaps this is not such a big deal.\n/**\n * Schedule afterPaintEffects flush after the browser paints\n * @param {number} newQueueLength\n */\nfunction afterPaint(newQueueLength) {\n\tif (newQueueLength === 1 || prevRaf !== options.requestAnimationFrame) {\n\t\tprevRaf = options.requestAnimationFrame;\n\t\t(prevRaf || afterNextFrame)(flushAfterPaintEffects);\n\t}\n}\n\n/**\n * @param {import('./internal').EffectHookState} hook\n */\nfunction invokeCleanup(hook) {\n\tif (typeof hook._cleanup == 'function') hook._cleanup();\n}\n\n/**\n * Invoke a Hook's effect\n * @param {import('./internal').EffectHookState} hook\n */\nfunction invokeEffect(hook) {\n\thook._cleanup = hook._value();\n}\n\n/**\n * @param {any[]} oldArgs\n * @param {any[]} newArgs\n */\nfunction argsChanged(oldArgs, newArgs) {\n\treturn !oldArgs || newArgs.some((arg, index) => arg !== oldArgs[index]);\n}\n\nfunction invokeOrReturn(arg, f) {\n\treturn typeof f == 'function' ? f(arg) : f;\n}\n","import style from \"./Todo.less\";\n\nexport default function (props) {\n\tif(process.env.NODE_ENV === \"development\") {\n\t\treturn {props.children};\n\t}\n\telse {\n\t\treturn null;\n\t}\n}\n","import style from \"./Split.less\";\n\nexport default function (props) {\n let children;\n\n if(Array.isArray(props.children)) {\n children = props.children.map(element => {\n return (\n
\n {element}\n
\n );\n });\n }\n\n else {\n children = (\n
\n {props.children}\n
\n );\n }\n return (\n
\n
{children}
\n
\n );\n}\n","import BLatex from \"./BLatex\";\n\nexport default function (props) {\n return (\n

\n {props.children}\n

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artificiali"),i(n.a,{title:"Informazioni"},i(o.a,{title:"Contatti"},i("ul",null,i("li",null,i("a",{href:"mailto:marco.villani@unimore.it"},"Prof. Marco Villani")))),i(o.a,{title:"Archivio"},i("p",null,"Se sei uno ",i("b",null,"studente dell'Unimore"),", puoi accedere all'",i("b",null,i("a",{href:"https://drive.google.com/drive/folders/1GcjP1Z5UtRjyAag7qjFQ-kx3s06G8ZoP"},"archivio del corso su Google Drive")),"."))),i(n.a,{title:"Esame"},i(o.a,{title:"Scritto"},i("ul",null,i("li",null,"Scegli 2 tra 6 domande possibili"),i("li",null,"90 minuti"))),i(o.a,{title:"Appelli"},i("ol",null,i("li",null,i(a.a,{to:"2020-06-23"})),i("li",null,i(a.a,{to:"2020-07-08"})),i("li",null,i(a.a,{to:"2020-07-22"}))))),i(n.a,{title:"NetLogo"},i(o.a,{title:"Cos'è?"},i("p",null,"NetLogo è un software di modellazione sistemi multiagente, da noi usato per le lezioni di laboratorio."),i("p",null,"Si può ",i("a",{href:"https://ccl.northwestern.edu/netlogo/download.shtml"},"scaricare")," o ",i("a",{href:"https://www.netlogoweb.org/launch"},"usare da browser"),"."),i("p",null,"Il suo codice sorgente è disponibile su ",i("a",{href:"https://github.com/NetLogo/NetLogo"},"GitHub"),", e ha una pagina di ",i("a",{href:"https://ccl.northwestern.edu/netlogo/docs/dictionary.html"},"documentazione"),"."),i("p",null,i("b",{style:"font-size: x-large;"},i("a",{href:"/apprendimento/netlogo"},"Consulta i miei appunti su NetLogo qui!"))))),i(n.a,{title:"Agenti"},i(o.a,{title:"Secondo il paradigma debole"},i("p",null,"Sono ",i("b",null,"sistemi")," con le seguenti caratteristiche:"),i("ul",null,i("li",null,i("b",null,"Autonomia"),": agiscono gli uni indipendentemente dagli altri"),i("li",null,i("b",null,"Reattività"),": percepiscono ciò che sta nel loro ambiente e ",i("i",null,"reagiscono")," ai cambiamenti di quest'ultimo"),i("li",null,i("b",null,"Proattività"),": agiscono in maniera tale da portare a termine i loro obiettivi"),i("li",null,i("b",null,"Socialità"),": comunicano con gli altri agenti, scambiando informazioni"))),i(o.a,{title:"Secondo il paradigma forte"},i("p",null,"Hanno anche caratteristiche di livello più alto derivate dalle quattro precedenti:"),i("ul",null,i("li",null,"Conoscenza"),i("li",null,"Intenzioni"),i("li",null,"Emozioni"),i("li",null,"Obblighi"),i("li",null,"Obiettivi"),i("li",null,"etc..."))),i(o.a,{title:"Caratteristiche aggiuntive"},i("p",null,"Gli agenti solitamente hanno anche:"),i("ul",null,i("li",null,i("b",null,"Mobilità"),": possono muoversi nell'ambiente"),i("li",null,i("b",null,"Veridicità"),": producono informazioni corrette"),i("li",null,i("b",null,"Benevolenza"),": agiscono nel modo corretto"),i("li",null,i("b",null,"Razionalità"),": compiono le azioni necessarie per raggiungere i loro obiettivi, e non altre che glielo impedirebbero")))),i(n.a,{title:"Benefici degli agenti"},i(o.a,{title:"Emergenza"},i("p",null,"Lo sviluppo negli agenti di nuove capacità per cui non erano stati programmati."),i(t.a,null,"Ad esempio, la Swarm 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shell",starts:{end:/[^\\]$/,subLanguage:"bash"}}],illegal:"/}],contains:[{className:"doctag",variants:[{begin:/\.(synopsis|description|example|inputs|outputs|notes|link|component|role|functionality)/},{begin:/\.(parameter|forwardhelptargetname|forwardhelpcategory|remotehelprunspace|externalhelp)\s+\S+/}]}]});return{aliases:["ps"],lexemes:/-?[A-z\.\-]+/,case_insensitive:!0,keywords:{keyword:"if else foreach return function do while until elseif begin for trap data dynamicparam end break throw param continue finally in switch exit filter try process catchValidateNoCircleInNodeResources ValidateNodeExclusiveResources ValidateNodeManager ValidateNodeResources ValidateNodeResourceSource ValidateNoNameNodeResources ThrowError IsHiddenResourceIsPatternMatched ",built_in:"Add-Computer Add-Content Add-History Add-JobTrigger Add-Member Add-PSSnapin Add-Type Checkpoint-Computer Clear-Content Clear-EventLog Clear-History Clear-Host Clear-Item Clear-ItemProperty Clear-Variable Compare-Object Complete-Transaction Connect-PSSession Connect-WSMan Convert-Path ConvertFrom-Csv ConvertFrom-Json ConvertFrom-SecureString ConvertFrom-StringData ConvertTo-Csv ConvertTo-Html ConvertTo-Json ConvertTo-SecureString ConvertTo-Xml Copy-Item Copy-ItemProperty Debug-Process Disable-ComputerRestore Disable-JobTrigger Disable-PSBreakpoint Disable-PSRemoting Disable-PSSessionConfiguration Disable-WSManCredSSP Disconnect-PSSession Disconnect-WSMan Disable-ScheduledJob Enable-ComputerRestore Enable-JobTrigger Enable-PSBreakpoint Enable-PSRemoting Enable-PSSessionConfiguration Enable-ScheduledJob Enable-WSManCredSSP Enter-PSSession Exit-PSSession Export-Alias Export-Clixml Export-Console Export-Counter Export-Csv Export-FormatData Export-ModuleMember Export-PSSession ForEach-Object Format-Custom Format-List Format-Table Format-Wide Get-Acl Get-Alias Get-AuthenticodeSignature Get-ChildItem Get-Command Get-ComputerRestorePoint Get-Content Get-ControlPanelItem Get-Counter Get-Credential Get-Culture Get-Date Get-Event Get-EventLog Get-EventSubscriber Get-ExecutionPolicy Get-FormatData Get-Host Get-HotFix Get-Help Get-History Get-IseSnippet Get-Item Get-ItemProperty Get-Job Get-JobTrigger Get-Location Get-Member Get-Module Get-PfxCertificate Get-Process Get-PSBreakpoint Get-PSCallStack Get-PSDrive Get-PSProvider Get-PSSession Get-PSSessionConfiguration Get-PSSnapin Get-Random Get-ScheduledJob Get-ScheduledJobOption Get-Service Get-TraceSource Get-Transaction Get-TypeData Get-UICulture Get-Unique Get-Variable Get-Verb Get-WinEvent Get-WmiObject Get-WSManCredSSP Get-WSManInstance Group-Object Import-Alias Import-Clixml Import-Counter Import-Csv Import-IseSnippet Import-LocalizedData Import-PSSession Import-Module Invoke-AsWorkflow Invoke-Command Invoke-Expression Invoke-History Invoke-Item Invoke-RestMethod Invoke-WebRequest Invoke-WmiMethod Invoke-WSManAction Join-Path Limit-EventLog Measure-Command Measure-Object Move-Item Move-ItemProperty New-Alias New-Event New-EventLog New-IseSnippet New-Item New-ItemProperty New-JobTrigger New-Object New-Module New-ModuleManifest New-PSDrive New-PSSession New-PSSessionConfigurationFile New-PSSessionOption New-PSTransportOption New-PSWorkflowExecutionOption New-PSWorkflowSession New-ScheduledJobOption New-Service New-TimeSpan New-Variable New-WebServiceProxy New-WinEvent New-WSManInstance New-WSManSessionOption Out-Default Out-File Out-GridView Out-Host Out-Null Out-Printer Out-String Pop-Location Push-Location Read-Host Receive-Job Register-EngineEvent Register-ObjectEvent Register-PSSessionConfiguration Register-ScheduledJob Register-WmiEvent Remove-Computer Remove-Event Remove-EventLog Remove-Item Remove-ItemProperty Remove-Job Remove-JobTrigger Remove-Module Remove-PSBreakpoint Remove-PSDrive Remove-PSSession Remove-PSSnapin Remove-TypeData Remove-Variable Remove-WmiObject Remove-WSManInstance Rename-Computer Rename-Item Rename-ItemProperty Reset-ComputerMachinePassword Resolve-Path Restart-Computer Restart-Service Restore-Computer Resume-Job Resume-Service Save-Help Select-Object Select-String Select-Xml Send-MailMessage Set-Acl Set-Alias Set-AuthenticodeSignature Set-Content Set-Date Set-ExecutionPolicy Set-Item Set-ItemProperty Set-JobTrigger Set-Location Set-PSBreakpoint Set-PSDebug Set-PSSessionConfiguration Set-ScheduledJob Set-ScheduledJobOption Set-Service Set-StrictMode Set-TraceSource Set-Variable Set-WmiInstance Set-WSManInstance Set-WSManQuickConfig Show-Command Show-ControlPanelItem Show-EventLog Sort-Object Split-Path Start-Job Start-Process Start-Service Start-Sleep Start-Transaction Start-Transcript Stop-Computer Stop-Job Stop-Process Stop-Service Stop-Transcript Suspend-Job Suspend-Service Tee-Object Test-ComputerSecureChannel Test-Connection Test-ModuleManifest Test-Path Test-PSSessionConfigurationFile Trace-Command Unblock-File Undo-Transaction Unregister-Event Unregister-PSSessionConfiguration Unregister-ScheduledJob Update-FormatData Update-Help Update-List Update-TypeData Use-Transaction Wait-Event Wait-Job Wait-Process Where-Object Write-Debug Write-Error Write-EventLog Write-Host Write-Output Write-Progress Write-Verbose Write-Warning Add-MDTPersistentDrive Disable-MDTMonitorService Enable-MDTMonitorService Get-MDTDeploymentShareStatistics Get-MDTMonitorData Get-MDTOperatingSystemCatalog Get-MDTPersistentDrive Import-MDTApplication Import-MDTDriver Import-MDTOperatingSystem Import-MDTPackage Import-MDTTaskSequence New-MDTDatabase Remove-MDTMonitorData Remove-MDTPersistentDrive Restore-MDTPersistentDrive Set-MDTMonitorData Test-MDTDeploymentShare Test-MDTMonitorData Update-MDTDatabaseSchema Update-MDTDeploymentShare Update-MDTLinkedDS Update-MDTMedia Add-VamtProductKey Export-VamtData Find-VamtManagedMachine Get-VamtConfirmationId Get-VamtProduct Get-VamtProductKey Import-VamtData Initialize-VamtData Install-VamtConfirmationId Install-VamtProductActivation Install-VamtProductKey Update-VamtProduct Add-CIDatastore Add-KeyManagementServer Add-NodeKeys Add-NsxDynamicCriteria Add-NsxDynamicMemberSet Add-NsxEdgeInterfaceAddress Add-NsxFirewallExclusionListMember Add-NsxFirewallRuleMember Add-NsxIpSetMember Add-NsxLicense Add-NsxLoadBalancerPoolMember Add-NsxLoadBalancerVip Add-NsxSecondaryManager Add-NsxSecurityGroupMember Add-NsxSecurityPolicyRule Add-NsxSecurityPolicyRuleGroup Add-NsxSecurityPolicyRuleService Add-NsxServiceGroupMember Add-NsxTransportZoneMember Add-PassthroughDevice Add-VDSwitchPhysicalNetworkAdapter Add-VDSwitchVMHost Add-VMHost Add-VMHostNtpServer Add-VirtualSwitchPhysicalNetworkAdapter Add-XmlElement Add-vRACustomForm Add-vRAPrincipalToTenantRole Add-vRAReservationNetwork Add-vRAReservationStorage Clear-NsxEdgeInterface Clear-NsxManagerTimeSettings Compress-Archive Connect-CIServer Connect-CisServer Connect-HCXServer Connect-NIServer Connect-NsxLogicalSwitch Connect-NsxServer Connect-NsxtServer Connect-SrmServer Connect-VIServer Connect-Vmc Connect-vRAServer Connect-vRNIServer ConvertFrom-Markdown ConvertTo-MOFInstance Copy-DatastoreItem Copy-HardDisk Copy-NsxEdge Copy-VDisk Copy-VMGuestFile Debug-Runspace Disable-NsxEdgeSsh Disable-RunspaceDebug Disable-vRNIDataSource Disconnect-CIServer Disconnect-CisServer Disconnect-HCXServer Disconnect-NsxLogicalSwitch Disconnect-NsxServer Disconnect-NsxtServer Disconnect-SrmServer Disconnect-VIServer Disconnect-Vmc Disconnect-vRAServer Disconnect-vRNIServer Dismount-Tools Enable-NsxEdgeSsh Enable-RunspaceDebug Enable-vRNIDataSource Expand-Archive Export-NsxObject Export-SpbmStoragePolicy Export-VApp Export-VDPortGroup Export-VDSwitch Export-VMHostProfile Export-vRAIcon Export-vRAPackage Find-Command Find-DscResource Find-Module Find-NsxWhereVMUsed Find-Package Find-PackageProvider Find-RoleCapability Find-Script Format-Hex Format-VMHostDiskPartition Format-XML Generate-VersionInfo Get-AdvancedSetting Get-AlarmAction Get-AlarmActionTrigger Get-AlarmDefinition Get-Annotation Get-CDDrive Get-CIAccessControlRule Get-CIDatastore Get-CINetworkAdapter Get-CIRole Get-CIUser Get-CIVApp Get-CIVAppNetwork Get-CIVAppStartRule Get-CIVAppTemplate Get-CIVM Get-CIVMTemplate Get-CIView Get-Catalog Get-CisCommand Get-CisService Get-CloudCommand Get-Cluster Get-CompatibleVersionAddtionaPropertiesStr Get-ComplexResourceQualifier Get-ConfigurationErrorCount Get-ContentLibraryItem Get-CustomAttribute Get-DSCResourceModules Get-Datacenter Get-Datastore Get-DatastoreCluster Get-DrsClusterGroup Get-DrsRecommendation Get-DrsRule Get-DrsVMHostRule Get-DscResource Get-EdgeGateway Get-EncryptedPassword Get-ErrorReport Get-EsxCli Get-EsxTop Get-ExternalNetwork Get-FileHash Get-FloppyDrive Get-Folder Get-HAPrimaryVMHost Get-HCXAppliance Get-HCXApplianceCompute Get-HCXApplianceDVS Get-HCXApplianceDatastore Get-HCXApplianceNetwork Get-HCXContainer Get-HCXDatastore Get-HCXGateway Get-HCXInterconnectStatus Get-HCXJob Get-HCXMigration Get-HCXNetwork Get-HCXNetworkExtension Get-HCXReplication Get-HCXReplicationSnapshot Get-HCXService Get-HCXSite Get-HCXSitePairing Get-HCXVM Get-HardDisk Get-IScsiHbaTarget Get-InnerMostErrorRecord Get-InstallPath Get-InstalledModule Get-InstalledScript Get-Inventory Get-ItemPropertyValue Get-KeyManagementServer Get-KmipClientCertificate Get-KmsCluster Get-Log Get-LogType Get-MarkdownOption Get-Media Get-MofInstanceName Get-MofInstanceText Get-NetworkAdapter Get-NetworkPool Get-NfsUser Get-NicTeamingPolicy Get-NsxApplicableMember Get-NsxApplicableSecurityAction Get-NsxBackingDVSwitch Get-NsxBackingPortGroup Get-NsxCliDfwAddrSet Get-NsxCliDfwFilter Get-NsxCliDfwRule Get-NsxClusterStatus Get-NsxController Get-NsxDynamicCriteria Get-NsxDynamicMemberSet Get-NsxEdge Get-NsxEdgeBgp Get-NsxEdgeBgpNeighbour Get-NsxEdgeCertificate Get-NsxEdgeCsr Get-NsxEdgeFirewall Get-NsxEdgeFirewallRule Get-NsxEdgeInterface Get-NsxEdgeInterfaceAddress Get-NsxEdgeNat Get-NsxEdgeNatRule Get-NsxEdgeOspf Get-NsxEdgeOspfArea Get-NsxEdgeOspfInterface Get-NsxEdgePrefix Get-NsxEdgeRedistributionRule Get-NsxEdgeRouting Get-NsxEdgeStaticRoute Get-NsxEdgeSubInterface Get-NsxFirewallExclusionListMember Get-NsxFirewallGlobalConfiguration Get-NsxFirewallPublishStatus Get-NsxFirewallRule Get-NsxFirewallRuleMember Get-NsxFirewallSavedConfiguration Get-NsxFirewallSection Get-NsxFirewallThreshold Get-NsxIpPool Get-NsxIpSet Get-NsxLicense Get-NsxLoadBalancer Get-NsxLoadBalancerApplicationProfile Get-NsxLoadBalancerApplicationRule Get-NsxLoadBalancerMonitor Get-NsxLoadBalancerPool Get-NsxLoadBalancerPoolMember Get-NsxLoadBalancerStats Get-NsxLoadBalancerVip Get-NsxLogicalRouter Get-NsxLogicalRouterBgp Get-NsxLogicalRouterBgpNeighbour Get-NsxLogicalRouterBridge Get-NsxLogicalRouterBridging Get-NsxLogicalRouterInterface Get-NsxLogicalRouterOspf Get-NsxLogicalRouterOspfArea Get-NsxLogicalRouterOspfInterface Get-NsxLogicalRouterPrefix Get-NsxLogicalRouterRedistributionRule Get-NsxLogicalRouterRouting Get-NsxLogicalRouterStaticRoute Get-NsxLogicalSwitch Get-NsxMacSet Get-NsxManagerBackup Get-NsxManagerCertificate Get-NsxManagerComponentSummary Get-NsxManagerNetwork Get-NsxManagerRole Get-NsxManagerSsoConfig Get-NsxManagerSyncStatus Get-NsxManagerSyslogServer Get-NsxManagerSystemSummary Get-NsxManagerTimeSettings Get-NsxManagerVcenterConfig Get-NsxSecondaryManager Get-NsxSecurityGroup Get-NsxSecurityGroupEffectiveIpAddress Get-NsxSecurityGroupEffectiveMacAddress Get-NsxSecurityGroupEffectiveMember Get-NsxSecurityGroupEffectiveVirtualMachine Get-NsxSecurityGroupEffectiveVnic Get-NsxSecurityGroupMemberTypes Get-NsxSecurityPolicy Get-NsxSecurityPolicyHighestUsedPrecedence Get-NsxSecurityPolicyRule Get-NsxSecurityTag Get-NsxSecurityTagAssignment Get-NsxSegmentIdRange Get-NsxService Get-NsxServiceDefinition Get-NsxServiceGroup Get-NsxServiceGroupMember Get-NsxServiceProfile Get-NsxSpoofguardNic Get-NsxSpoofguardPolicy Get-NsxSslVpn Get-NsxSslVpnAuthServer Get-NsxSslVpnClientInstallationPackage Get-NsxSslVpnIpPool Get-NsxSslVpnPrivateNetwork Get-NsxSslVpnUser Get-NsxTransportZone Get-NsxUserRole Get-NsxVdsContext Get-NsxtPolicyService Get-NsxtService Get-OSCustomizationNicMapping Get-OSCustomizationSpec Get-Org Get-OrgNetwork Get-OrgVdc Get-OrgVdcNetwork Get-OvfConfiguration Get-PSCurrentConfigurationNode Get-PSDefaultConfigurationDocument Get-PSMetaConfigDocumentInstVersionInfo Get-PSMetaConfigurationProcessed Get-PSReadLineKeyHandler Get-PSReadLineOption Get-PSRepository Get-PSTopConfigurationName Get-PSVersion Get-Package Get-PackageProvider Get-PackageSource Get-PassthroughDevice Get-PositionInfo Get-PowerCLICommunity Get-PowerCLIConfiguration Get-PowerCLIHelp Get-PowerCLIVersion Get-PowerNsxVersion Get-ProviderVdc Get-PublicKeyFromFile Get-PublicKeyFromStore Get-ResourcePool Get-Runspace Get-RunspaceDebug Get-ScsiController Get-ScsiLun Get-ScsiLunPath Get-SecurityInfo Get-SecurityPolicy Get-Snapshot Get-SpbmCapability Get-SpbmCompatibleStorage Get-SpbmEntityConfiguration Get-SpbmFaultDomain Get-SpbmPointInTimeReplica Get-SpbmReplicationGroup Get-SpbmReplicationPair Get-SpbmStoragePolicy Get-Stat Get-StatInterval Get-StatType Get-Tag Get-TagAssignment Get-TagCategory Get-Task Get-Template Get-TimeZone Get-Uptime Get-UsbDevice Get-VAIOFilter Get-VApp Get-VDBlockedPolicy Get-VDPort Get-VDPortgroup Get-VDPortgroupOverridePolicy Get-VDSecurityPolicy Get-VDSwitch Get-VDSwitchPrivateVlan Get-VDTrafficShapingPolicy Get-VDUplinkLacpPolicy Get-VDUplinkTeamingPolicy Get-VDisk Get-VIAccount Get-VICommand Get-VICredentialStoreItem Get-VIEvent Get-VIObjectByVIView Get-VIPermission Get-VIPrivilege Get-VIProperty Get-VIRole Get-VM Get-VMGuest Get-VMHost Get-VMHostAccount Get-VMHostAdvancedConfiguration Get-VMHostAuthentication Get-VMHostAvailableTimeZone Get-VMHostDiagnosticPartition Get-VMHostDisk Get-VMHostDiskPartition Get-VMHostFirewallDefaultPolicy Get-VMHostFirewallException Get-VMHostFirmware Get-VMHostHardware Get-VMHostHba Get-VMHostModule Get-VMHostNetwork Get-VMHostNetworkAdapter Get-VMHostNtpServer Get-VMHostPatch Get-VMHostPciDevice Get-VMHostProfile Get-VMHostProfileImageCacheConfiguration Get-VMHostProfileRequiredInput Get-VMHostProfileStorageDeviceConfiguration Get-VMHostProfileUserConfiguration Get-VMHostProfileVmPortGroupConfiguration Get-VMHostRoute Get-VMHostService Get-VMHostSnmp Get-VMHostStartPolicy Get-VMHostStorage Get-VMHostSysLogServer Get-VMQuestion Get-VMResourceConfiguration Get-VMStartPolicy Get-VTpm Get-VTpmCSR Get-VTpmCertificate Get-VasaProvider Get-VasaStorageArray Get-View Get-VirtualPortGroup Get-VirtualSwitch Get-VmcSddcNetworkService Get-VmcService Get-VsanClusterConfiguration Get-VsanComponent Get-VsanDisk Get-VsanDiskGroup Get-VsanEvacuationPlan Get-VsanFaultDomain Get-VsanIscsiInitiatorGroup Get-VsanIscsiInitiatorGroupTargetAssociation Get-VsanIscsiLun Get-VsanIscsiTarget Get-VsanObject Get-VsanResyncingComponent Get-VsanRuntimeInfo Get-VsanSpaceUsage Get-VsanStat Get-VsanView Get-vRAApplianceServiceStatus Get-vRAAuthorizationRole Get-vRABlueprint Get-vRABusinessGroup Get-vRACatalogItem Get-vRACatalogItemRequestTemplate Get-vRACatalogPrincipal Get-vRAComponentRegistryService Get-vRAComponentRegistryServiceEndpoint Get-vRAComponentRegistryServiceStatus Get-vRAContent Get-vRAContentData Get-vRAContentType Get-vRACustomForm Get-vRAEntitledCatalogItem Get-vRAEntitledService Get-vRAEntitlement Get-vRAExternalNetworkProfile Get-vRAGroupPrincipal Get-vRAIcon Get-vRANATNetworkProfile Get-vRANetworkProfileIPAddressList Get-vRANetworkProfileIPRangeSummary Get-vRAPackage Get-vRAPackageContent Get-vRAPropertyDefinition Get-vRAPropertyGroup Get-vRARequest Get-vRARequestDetail Get-vRAReservation Get-vRAReservationComputeResource Get-vRAReservationComputeResourceMemory Get-vRAReservationComputeResourceNetwork Get-vRAReservationComputeResourceResourcePool Get-vRAReservationComputeResourceStorage Get-vRAReservationPolicy Get-vRAReservationTemplate Get-vRAReservationType Get-vRAResource Get-vRAResourceAction Get-vRAResourceActionRequestTemplate Get-vRAResourceMetric Get-vRAResourceOperation Get-vRAResourceType Get-vRARoutedNetworkProfile Get-vRAService Get-vRAServiceBlueprint Get-vRASourceMachine Get-vRAStorageReservationPolicy Get-vRATenant Get-vRATenantDirectory Get-vRATenantDirectoryStatus Get-vRATenantRole Get-vRAUserPrincipal Get-vRAUserPrincipalGroupMembership Get-vRAVersion Get-vRNIAPIVersion Get-vRNIApplication Get-vRNIApplicationTier Get-vRNIDataSource Get-vRNIDataSourceSNMPConfig Get-vRNIDatastore Get-vRNIDistributedSwitch Get-vRNIDistributedSwitchPortGroup Get-vRNIEntity Get-vRNIEntityName Get-vRNIFirewallRule Get-vRNIFlow Get-vRNIHost Get-vRNIHostVMKNic Get-vRNIIPSet Get-vRNIL2Network Get-vRNINSXManager Get-vRNINodes Get-vRNIProblem Get-vRNIRecommendedRules Get-vRNIRecommendedRulesNsxBundle Get-vRNISecurityGroup Get-vRNISecurityTag Get-vRNIService Get-vRNIServiceGroup Get-vRNIVM Get-vRNIVMvNIC Get-vRNIvCenter Get-vRNIvCenterCluster Get-vRNIvCenterDatacenter Get-vRNIvCenterFolder Grant-NsxSpoofguardNicApproval Import-CIVApp Import-CIVAppTemplate Import-NsxObject Import-PackageProvider Import-PowerShellDataFile Import-SpbmStoragePolicy Import-VApp Import-VMHostProfile Import-vRAContentData Import-vRAIcon Import-vRAPackage Initialize-ConfigurationRuntimeState Install-Module Install-NsxCluster Install-Package Install-PackageProvider Install-Script Install-VMHostPatch Invoke-DrsRecommendation Invoke-NsxCli Invoke-NsxClusterResolveAll Invoke-NsxManagerSync Invoke-NsxRestMethod Invoke-NsxWebRequest Invoke-VMHostProfile Invoke-VMScript Invoke-XpathQuery Invoke-vRADataCollection Invoke-vRARestMethod Invoke-vRATenantDirectorySync Invoke-vRNIRestMethod Join-String Mount-Tools Move-Cluster Move-Datacenter Move-Datastore Move-Folder Move-HardDisk Move-Inventory Move-NsxSecurityPolicyRule Move-ResourcePool Move-Template Move-VApp Move-VDisk Move-VM Move-VMHost New-AdvancedSetting New-AlarmAction New-AlarmActionTrigger New-CDDrive New-CIAccessControlRule New-CIVApp New-CIVAppNetwork New-CIVAppTemplate New-CIVM New-Cluster New-CustomAttribute New-Datacenter New-Datastore New-DatastoreCluster New-DatastoreDrive New-DrsClusterGroup New-DrsRule New-DrsVMHostRule New-DscChecksum New-FloppyDrive New-Folder New-Guid New-HCXAppliance New-HCXMigration New-HCXNetworkExtension New-HCXNetworkMapping New-HCXReplication New-HCXSitePairing New-HCXStaticRoute New-HardDisk New-IScsiHbaTarget New-KmipClientCertificate New-NetworkAdapter New-NfsUser New-NsxAddressSpec New-NsxClusterVxlanConfig New-NsxController New-NsxDynamicCriteriaSpec New-NsxEdge New-NsxEdgeBgpNeighbour New-NsxEdgeCsr New-NsxEdgeFirewallRule New-NsxEdgeInterfaceSpec New-NsxEdgeNatRule New-NsxEdgeOspfArea New-NsxEdgeOspfInterface New-NsxEdgePrefix New-NsxEdgeRedistributionRule New-NsxEdgeSelfSignedCertificate New-NsxEdgeStaticRoute New-NsxEdgeSubInterface New-NsxEdgeSubInterfaceSpec New-NsxFirewallRule New-NsxFirewallSavedConfiguration New-NsxFirewallSection New-NsxIpPool New-NsxIpSet New-NsxLoadBalancerApplicationProfile New-NsxLoadBalancerApplicationRule New-NsxLoadBalancerMemberSpec New-NsxLoadBalancerMonitor New-NsxLoadBalancerPool New-NsxLogicalRouter New-NsxLogicalRouterBgpNeighbour New-NsxLogicalRouterBridge New-NsxLogicalRouterInterface New-NsxLogicalRouterInterfaceSpec New-NsxLogicalRouterOspfArea New-NsxLogicalRouterOspfInterface New-NsxLogicalRouterPrefix New-NsxLogicalRouterRedistributionRule New-NsxLogicalRouterStaticRoute New-NsxLogicalSwitch New-NsxMacSet New-NsxManager New-NsxSecurityGroup New-NsxSecurityPolicy New-NsxSecurityPolicyAssignment New-NsxSecurityPolicyFirewallRuleSpec New-NsxSecurityPolicyGuestIntrospectionSpec New-NsxSecurityPolicyNetworkIntrospectionSpec New-NsxSecurityTag New-NsxSecurityTagAssignment New-NsxSegmentIdRange New-NsxService New-NsxServiceGroup New-NsxSpoofguardPolicy New-NsxSslVpnAuthServer New-NsxSslVpnClientInstallationPackage New-NsxSslVpnIpPool New-NsxSslVpnPrivateNetwork New-NsxSslVpnUser New-NsxTransportZone New-NsxVdsContext New-OSCustomizationNicMapping New-OSCustomizationSpec New-Org New-OrgNetwork New-OrgVdc New-OrgVdcNetwork New-ResourcePool New-ScriptFileInfo New-ScsiController New-Snapshot New-SpbmRule New-SpbmRuleSet New-SpbmStoragePolicy New-StatInterval New-Tag New-TagAssignment New-TagCategory New-Template New-TemporaryFile New-VAIOFilter New-VApp New-VDPortgroup New-VDSwitch New-VDSwitchPrivateVlan New-VDisk New-VICredentialStoreItem New-VIInventoryDrive New-VIPermission New-VIProperty New-VIRole New-VISamlSecurityContext New-VM New-VMHostAccount New-VMHostNetworkAdapter New-VMHostProfile New-VMHostProfileVmPortGroupConfiguration New-VMHostRoute New-VTpm New-VasaProvider New-VcsOAuthSecurityContext New-VirtualPortGroup New-VirtualSwitch New-VsanDisk New-VsanDiskGroup New-VsanFaultDomain New-VsanIscsiInitiatorGroup New-VsanIscsiInitiatorGroupTargetAssociation New-VsanIscsiLun New-VsanIscsiTarget New-vRABusinessGroup New-vRAEntitlement New-vRAExternalNetworkProfile New-vRAGroupPrincipal New-vRANATNetworkProfile New-vRANetworkProfileIPRangeDefinition New-vRAPackage New-vRAPropertyDefinition New-vRAPropertyGroup New-vRAReservation New-vRAReservationNetworkDefinition New-vRAReservationPolicy New-vRAReservationStorageDefinition New-vRARoutedNetworkProfile New-vRAService New-vRAStorageReservationPolicy New-vRATenant New-vRATenantDirectory New-vRAUserPrincipal New-vRNIApplication New-vRNIApplicationTier New-vRNIDataSource Open-VMConsoleWindow Publish-Module Publish-NsxSpoofguardPolicy Publish-Script Register-PSRepository Register-PackageSource Remove-AdvancedSetting Remove-AlarmAction Remove-AlarmActionTrigger Remove-Alias Remove-CDDrive Remove-CIAccessControlRule Remove-CIVApp Remove-CIVAppNetwork Remove-CIVAppTemplate Remove-Cluster Remove-CustomAttribute Remove-Datacenter Remove-Datastore Remove-DatastoreCluster Remove-DrsClusterGroup Remove-DrsRule Remove-DrsVMHostRule Remove-FloppyDrive Remove-Folder Remove-HCXAppliance Remove-HCXNetworkExtension Remove-HCXReplication Remove-HCXSitePairing Remove-HardDisk Remove-IScsiHbaTarget Remove-Inventory Remove-KeyManagementServer Remove-NetworkAdapter Remove-NfsUser Remove-NsxCluster Remove-NsxClusterVxlanConfig Remove-NsxController Remove-NsxDynamicCriteria Remove-NsxDynamicMemberSet Remove-NsxEdge Remove-NsxEdgeBgpNeighbour Remove-NsxEdgeCertificate Remove-NsxEdgeCsr Remove-NsxEdgeFirewallRule Remove-NsxEdgeInterfaceAddress Remove-NsxEdgeNatRule Remove-NsxEdgeOspfArea Remove-NsxEdgeOspfInterface Remove-NsxEdgePrefix Remove-NsxEdgeRedistributionRule Remove-NsxEdgeStaticRoute Remove-NsxEdgeSubInterface Remove-NsxFirewallExclusionListMember Remove-NsxFirewallRule Remove-NsxFirewallRuleMember Remove-NsxFirewallSavedConfiguration Remove-NsxFirewallSection Remove-NsxIpPool Remove-NsxIpSet Remove-NsxIpSetMember Remove-NsxLoadBalancerApplicationProfile Remove-NsxLoadBalancerMonitor Remove-NsxLoadBalancerPool Remove-NsxLoadBalancerPoolMember Remove-NsxLoadBalancerVip Remove-NsxLogicalRouter Remove-NsxLogicalRouterBgpNeighbour Remove-NsxLogicalRouterBridge Remove-NsxLogicalRouterInterface Remove-NsxLogicalRouterOspfArea Remove-NsxLogicalRouterOspfInterface Remove-NsxLogicalRouterPrefix Remove-NsxLogicalRouterRedistributionRule Remove-NsxLogicalRouterStaticRoute Remove-NsxLogicalSwitch Remove-NsxMacSet Remove-NsxSecondaryManager Remove-NsxSecurityGroup Remove-NsxSecurityGroupMember Remove-NsxSecurityPolicy Remove-NsxSecurityPolicyAssignment Remove-NsxSecurityPolicyRule Remove-NsxSecurityPolicyRuleGroup Remove-NsxSecurityPolicyRuleService Remove-NsxSecurityTag Remove-NsxSecurityTagAssignment Remove-NsxSegmentIdRange Remove-NsxService Remove-NsxServiceGroup Remove-NsxSpoofguardPolicy Remove-NsxSslVpnClientInstallationPackage Remove-NsxSslVpnIpPool Remove-NsxSslVpnPrivateNetwork Remove-NsxSslVpnUser Remove-NsxTransportZone Remove-NsxTransportZoneMember Remove-NsxVdsContext Remove-OSCustomizationNicMapping Remove-OSCustomizationSpec Remove-Org Remove-OrgNetwork Remove-OrgVdc 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diag_fpsMin diag_frameNo diag_lightNewLoad diag_list diag_log diag_logSlowFrame diag_mergeConfigFile diag_recordTurretLimits diag_setLightNew diag_tickTime diag_toggle dialog diarySubjectExists didJIP didJIPOwner difficulty difficultyEnabled difficultyEnabledRTD difficultyOption direction directSay disableAI disableCollisionWith disableConversation disableDebriefingStats disableMapIndicators disableNVGEquipment disableRemoteSensors disableSerialization disableTIEquipment disableUAVConnectability disableUserInput displayAddEventHandler displayCtrl displayParent displayRemoveAllEventHandlers displayRemoveEventHandler displaySetEventHandler dissolveTeam distance distance2D distanceSqr distributionRegion do3DENAction doArtilleryFire doFire doFollow doFSM doGetOut doMove doorPhase doStop doSuppressiveFire doTarget doWatch drawArrow drawEllipse drawIcon drawIcon3D drawLine drawLine3D drawLink drawLocation drawPolygon drawRectangle drawTriangle driver drop dynamicSimulationDistance dynamicSimulationDistanceCoef dynamicSimulationEnabled dynamicSimulationSystemEnabled echo edit3DENMissionAttributes editObject editorSetEventHandler effectiveCommander emptyPositions enableAI enableAIFeature enableAimPrecision enableAttack enableAudioFeature enableAutoStartUpRTD enableAutoTrimRTD enableCamShake enableCaustics enableChannel enableCollisionWith enableCopilot enableDebriefingStats enableDiagLegend enableDynamicSimulation enableDynamicSimulationSystem enableEndDialog enableEngineArtillery enableEnvironment enableFatigue enableGunLights enableInfoPanelComponent enableIRLasers enableMimics enablePersonTurret enableRadio enableReload enableRopeAttach enableSatNormalOnDetail enableSaving enableSentences enableSimulation enableSimulationGlobal enableStamina enableTeamSwitch enableTraffic enableUAVConnectability enableUAVWaypoints enableVehicleCargo enableVehicleSensor enableWeaponDisassembly endLoadingScreen endMission engineOn enginesIsOnRTD enginesRpmRTD enginesTorqueRTD entities environmentEnabled estimatedEndServerTime estimatedTimeLeft evalObjectArgument everyBackpack everyContainer exec execEditorScript execFSM execVM exp expectedDestination exportJIPMessages eyeDirection eyePos face faction fadeMusic fadeRadio fadeSound fadeSpeech failMission fillWeaponsFromPool find findCover findDisplay findEditorObject findEmptyPosition findEmptyPositionReady findIf findNearestEnemy finishMissionInit finite fire fireAtTarget firstBackpack flag flagAnimationPhase flagOwner flagSide flagTexture fleeing floor flyInHeight flyInHeightASL fog fogForecast fogParams forceAddUniform forcedMap forceEnd forceFlagTexture forceFollowRoad forceMap forceRespawn forceSpeed forceWalk forceWeaponFire forceWeatherChange forEachMember forEachMemberAgent forEachMemberTeam forgetTarget format formation formationDirection formationLeader formationMembers formationPosition formationTask formatText formLeader freeLook fromEditor fuel fullCrew gearIDCAmmoCount gearSlotAmmoCount 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magazinesAllTurrets magazinesAmmo magazinesAmmoCargo magazinesAmmoFull magazinesDetail magazinesDetailBackpack magazinesDetailUniform magazinesDetailVest magazinesTurret magazineTurretAmmo mapAnimAdd mapAnimClear mapAnimCommit mapAnimDone mapCenterOnCamera mapGridPosition markAsFinishedOnSteam markerAlpha markerBrush markerColor markerDir markerPos markerShape markerSize markerText markerType max members menuAction menuAdd menuChecked menuClear menuCollapse menuData menuDelete menuEnable menuEnabled menuExpand menuHover menuPicture menuSetAction menuSetCheck menuSetData menuSetPicture menuSetValue menuShortcut menuShortcutText menuSize menuSort menuText menuURL menuValue min mineActive mineDetectedBy missionConfigFile missionDifficulty missionName missionNamespace missionStart missionVersion mod modelToWorld modelToWorldVisual modelToWorldVisualWorld modelToWorldWorld modParams moonIntensity moonPhase morale move move3DENCamera moveInAny moveInCargo moveInCommander moveInDriver moveInGunner moveInTurret moveObjectToEnd moveOut moveTime moveTo moveToCompleted moveToFailed musicVolume name nameSound nearEntities nearestBuilding nearestLocation nearestLocations nearestLocationWithDubbing nearestObject nearestObjects nearestTerrainObjects nearObjects nearObjectsReady nearRoads nearSupplies nearTargets needReload netId netObjNull newOverlay nextMenuItemIndex nextWeatherChange nMenuItems not numberOfEnginesRTD numberToDate objectCurators objectFromNetId objectParent objStatus onBriefingGroup onBriefingNotes onBriefingPlan onBriefingTeamSwitch onCommandModeChanged onDoubleClick onEachFrame onGroupIconClick onGroupIconOverEnter onGroupIconOverLeave onHCGroupSelectionChanged onMapSingleClick onPlayerConnected onPlayerDisconnected onPreloadFinished onPreloadStarted onShowNewObject onTeamSwitch openCuratorInterface openDLCPage openMap openSteamApp openYoutubeVideo or orderGetIn overcast overcastForecast owner param params parseNumber parseSimpleArray parseText parsingNamespace particlesQuality pickWeaponPool pitch pixelGrid pixelGridBase pixelGridNoUIScale pixelH pixelW playableSlotsNumber playableUnits playAction playActionNow player playerRespawnTime playerSide playersNumber playGesture playMission playMove playMoveNow playMusic playScriptedMission playSound playSound3D position positionCameraToWorld posScreenToWorld posWorldToScreen ppEffectAdjust ppEffectCommit ppEffectCommitted ppEffectCreate ppEffectDestroy ppEffectEnable ppEffectEnabled ppEffectForceInNVG precision preloadCamera preloadObject preloadSound preloadTitleObj preloadTitleRsc preprocessFile preprocessFileLineNumbers primaryWeapon primaryWeaponItems primaryWeaponMagazine priority processDiaryLink productVersion profileName profileNamespace profileNameSteam progressLoadingScreen progressPosition progressSetPosition publicVariable publicVariableClient publicVariableServer pushBack pushBackUnique putWeaponPool queryItemsPool queryMagazinePool queryWeaponPool rad radioChannelAdd radioChannelCreate radioChannelRemove radioChannelSetCallSign radioChannelSetLabel radioVolume rain rainbow random rank rankId rating rectangular registeredTasks registerTask reload reloadEnabled remoteControl remoteExec remoteExecCall remoteExecutedOwner remove3DENConnection remove3DENEventHandler remove3DENLayer removeAction removeAll3DENEventHandlers removeAllActions removeAllAssignedItems removeAllContainers removeAllCuratorAddons removeAllCuratorCameraAreas removeAllCuratorEditingAreas removeAllEventHandlers removeAllHandgunItems removeAllItems removeAllItemsWithMagazines removeAllMissionEventHandlers removeAllMPEventHandlers removeAllMusicEventHandlers removeAllOwnedMines removeAllPrimaryWeaponItems removeAllWeapons removeBackpack removeBackpackGlobal removeCuratorAddons removeCuratorCameraArea removeCuratorEditableObjects removeCuratorEditingArea removeDrawIcon removeDrawLinks removeEventHandler removeFromRemainsCollector removeGoggles removeGroupIcon removeHandgunItem removeHeadgear removeItem removeItemFromBackpack removeItemFromUniform removeItemFromVest removeItems removeMagazine removeMagazineGlobal removeMagazines removeMagazinesTurret removeMagazineTurret removeMenuItem removeMissionEventHandler removeMPEventHandler removeMusicEventHandler removeOwnedMine removePrimaryWeaponItem removeSecondaryWeaponItem removeSimpleTask removeSwitchableUnit removeTeamMember removeUniform removeVest removeWeapon removeWeaponAttachmentCargo removeWeaponCargo removeWeaponGlobal removeWeaponTurret reportRemoteTarget requiredVersion resetCamShake resetSubgroupDirection resize resources respawnVehicle restartEditorCamera reveal revealMine reverse reversedMouseY roadAt roadsConnectedTo roleDescription ropeAttachedObjects ropeAttachedTo ropeAttachEnabled ropeAttachTo ropeCreate ropeCut ropeDestroy ropeDetach ropeEndPosition ropeLength ropes ropeUnwind ropeUnwound rotorsForcesRTD rotorsRpmRTD round runInitScript safeZoneH safeZoneW safeZoneWAbs safeZoneX safeZoneXAbs 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setObjectTexture setObjectTextureGlobal setObjectViewDistance setOvercast setOwner setOxygenRemaining setParticleCircle setParticleClass setParticleFire setParticleParams setParticleRandom setPilotCameraDirection setPilotCameraRotation setPilotCameraTarget setPilotLight setPiPEffect setPitch setPlateNumber setPlayable setPlayerRespawnTime setPos setPosASL setPosASL2 setPosASLW setPosATL setPosition setPosWorld setPylonLoadOut setPylonsPriority setRadioMsg setRain setRainbow setRandomLip setRank setRectangular setRepairCargo setRotorBrakeRTD setShadowDistance setShotParents setSide setSimpleTaskAlwaysVisible setSimpleTaskCustomData setSimpleTaskDescription setSimpleTaskDestination setSimpleTaskTarget setSimpleTaskType setSimulWeatherLayers setSize setSkill setSlingLoad setSoundEffect setSpeaker setSpeech setSpeedMode setStamina setStaminaScheme setStatValue setSuppression setSystemOfUnits setTargetAge setTaskMarkerOffset setTaskResult setTaskState setTerrainGrid setText setTimeMultiplier setTitleEffect setTrafficDensity setTrafficDistance setTrafficGap setTrafficSpeed setTriggerActivation setTriggerArea setTriggerStatements setTriggerText setTriggerTimeout setTriggerType setType setUnconscious setUnitAbility setUnitLoadout setUnitPos setUnitPosWeak setUnitRank setUnitRecoilCoefficient setUnitTrait setUnloadInCombat setUserActionText setUserMFDText setUserMFDvalue setVariable setVectorDir setVectorDirAndUp setVectorUp setVehicleAmmo setVehicleAmmoDef setVehicleArmor setVehicleCargo setVehicleId setVehicleLock setVehiclePosition setVehicleRadar setVehicleReceiveRemoteTargets setVehicleReportOwnPosition setVehicleReportRemoteTargets setVehicleTIPars setVehicleVarName setVelocity setVelocityModelSpace setVelocityTransformation setViewDistance setVisibleIfTreeCollapsed setWantedRPMRTD setWaves setWaypointBehaviour setWaypointCombatMode setWaypointCompletionRadius setWaypointDescription setWaypointForceBehaviour setWaypointFormation setWaypointHousePosition setWaypointLoiterRadius setWaypointLoiterType setWaypointName setWaypointPosition setWaypointScript setWaypointSpeed setWaypointStatements setWaypointTimeout setWaypointType setWaypointVisible setWeaponReloadingTime setWind setWindDir setWindForce setWindStr setWingForceScaleRTD setWPPos show3DIcons showChat showCinemaBorder showCommandingMenu showCompass showCuratorCompass showGPS showHUD showLegend showMap shownArtilleryComputer shownChat shownCompass shownCuratorCompass showNewEditorObject shownGPS shownHUD shownMap shownPad shownRadio shownScoretable shownUAVFeed shownWarrant shownWatch showPad showRadio showScoretable showSubtitles showUAVFeed showWarrant showWatch showWaypoint showWaypoints side sideChat sideEnemy sideFriendly sideRadio simpleTasks simulationEnabled simulCloudDensity simulCloudOcclusion simulInClouds simulWeatherSync sin size sizeOf skill skillFinal skipTime sleep sliderPosition sliderRange sliderSetPosition sliderSetRange sliderSetSpeed sliderSpeed slingLoadAssistantShown soldierMagazines someAmmo sort soundVolume spawn speaker speed speedMode splitString sqrt squadParams stance startLoadingScreen step stop stopEngineRTD stopped str sunOrMoon supportInfo suppressFor surfaceIsWater surfaceNormal surfaceType swimInDepth switchableUnits switchAction switchCamera switchGesture switchLight switchMove synchronizedObjects synchronizedTriggers synchronizedWaypoints synchronizeObjectsAdd synchronizeObjectsRemove synchronizeTrigger synchronizeWaypoint systemChat systemOfUnits tan targetKnowledge targets targetsAggregate targetsQuery taskAlwaysVisible taskChildren taskCompleted taskCustomData taskDescription taskDestination taskHint taskMarkerOffset taskParent taskResult taskState taskType teamMember teamName teams teamSwitch teamSwitchEnabled teamType terminate terrainIntersect terrainIntersectASL terrainIntersectAtASL text textLog textLogFormat tg time timeMultiplier titleCut titleFadeOut titleObj titleRsc titleText toArray toFixed 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physics_particle_delete_region_circle physics_particle_delete_region_box physics_particle_delete_region_poly physics_particle_set_flags physics_particle_set_category_flags physics_particle_draw physics_particle_draw_ext physics_particle_count physics_particle_get_data physics_particle_get_data_particle physics_particle_group_begin physics_particle_group_circle physics_particle_group_box physics_particle_group_polygon physics_particle_group_add_point physics_particle_group_end physics_particle_group_join physics_particle_group_delete physics_particle_group_count physics_particle_group_get_data physics_particle_group_get_mass physics_particle_group_get_inertia physics_particle_group_get_centre_x physics_particle_group_get_centre_y physics_particle_group_get_vel_x physics_particle_group_get_vel_y physics_particle_group_get_ang_vel physics_particle_group_get_x physics_particle_group_get_y physics_particle_group_get_angle physics_particle_set_group_flags physics_particle_get_group_flags physics_particle_get_max_count physics_particle_get_radius physics_particle_get_density physics_particle_get_damping physics_particle_get_gravity_scale physics_particle_set_max_count physics_particle_set_radius physics_particle_set_density physics_particle_set_damping physics_particle_set_gravity_scale network_create_socket network_create_socket_ext network_create_server network_create_server_raw network_connect network_connect_raw network_send_packet network_send_raw network_send_broadcast network_send_udp network_send_udp_raw network_set_timeout network_set_config network_resolve network_destroy buffer_create buffer_write buffer_read buffer_seek buffer_get_surface buffer_set_surface buffer_delete buffer_exists buffer_get_type buffer_get_alignment buffer_poke buffer_peek buffer_save buffer_save_ext buffer_load buffer_load_ext buffer_load_partial buffer_copy buffer_fill buffer_get_size buffer_tell buffer_resize buffer_md5 buffer_sha1 buffer_base64_encode buffer_base64_decode buffer_base64_decode_ext buffer_sizeof buffer_get_address buffer_create_from_vertex_buffer buffer_create_from_vertex_buffer_ext buffer_copy_from_vertex_buffer buffer_async_group_begin buffer_async_group_option buffer_async_group_end buffer_load_async buffer_save_async gml_release_mode gml_pragma steam_activate_overlay steam_is_overlay_enabled steam_is_overlay_activated steam_get_persona_name steam_initialised steam_is_cloud_enabled_for_app steam_is_cloud_enabled_for_account steam_file_persisted steam_get_quota_total steam_get_quota_free steam_file_write steam_file_write_file steam_file_read steam_file_delete steam_file_exists steam_file_size steam_file_share steam_is_screenshot_requested steam_send_screenshot steam_is_user_logged_on steam_get_user_steam_id steam_user_owns_dlc steam_user_installed_dlc steam_set_achievement steam_get_achievement steam_clear_achievement steam_set_stat_int steam_set_stat_float steam_set_stat_avg_rate steam_get_stat_int steam_get_stat_float steam_get_stat_avg_rate steam_reset_all_stats steam_reset_all_stats_achievements steam_stats_ready steam_create_leaderboard steam_upload_score steam_upload_score_ext steam_download_scores_around_user steam_download_scores steam_download_friends_scores steam_upload_score_buffer steam_upload_score_buffer_ext steam_current_game_language steam_available_languages steam_activate_overlay_browser steam_activate_overlay_user steam_activate_overlay_store steam_get_user_persona_name steam_get_app_id steam_get_user_account_id steam_ugc_download steam_ugc_create_item steam_ugc_start_item_update steam_ugc_set_item_title steam_ugc_set_item_description steam_ugc_set_item_visibility steam_ugc_set_item_tags steam_ugc_set_item_content steam_ugc_set_item_preview steam_ugc_submit_item_update steam_ugc_get_item_update_progress steam_ugc_subscribe_item steam_ugc_unsubscribe_item steam_ugc_num_subscribed_items steam_ugc_get_subscribed_items steam_ugc_get_item_install_info steam_ugc_get_item_update_info steam_ugc_request_item_details steam_ugc_create_query_user steam_ugc_create_query_user_ex steam_ugc_create_query_all steam_ugc_create_query_all_ex steam_ugc_query_set_cloud_filename_filter steam_ugc_query_set_match_any_tag steam_ugc_query_set_search_text steam_ugc_query_set_ranked_by_trend_days steam_ugc_query_add_required_tag steam_ugc_query_add_excluded_tag steam_ugc_query_set_return_long_description steam_ugc_query_set_return_total_only steam_ugc_query_set_allow_cached_response steam_ugc_send_query shader_set shader_get_name shader_reset shader_current shader_is_compiled shader_get_sampler_index shader_get_uniform shader_set_uniform_i shader_set_uniform_i_array shader_set_uniform_f shader_set_uniform_f_array shader_set_uniform_matrix shader_set_uniform_matrix_array shader_enable_corner_id texture_set_stage texture_get_texel_width texture_get_texel_height shaders_are_supported vertex_format_begin vertex_format_end vertex_format_delete vertex_format_add_position vertex_format_add_position_3d vertex_format_add_colour vertex_format_add_color vertex_format_add_normal vertex_format_add_texcoord vertex_format_add_textcoord vertex_format_add_custom vertex_create_buffer vertex_create_buffer_ext vertex_delete_buffer vertex_begin vertex_end vertex_position vertex_position_3d vertex_colour vertex_color vertex_argb vertex_texcoord vertex_normal vertex_float1 vertex_float2 vertex_float3 vertex_float4 vertex_ubyte4 vertex_submit vertex_freeze vertex_get_number vertex_get_buffer_size vertex_create_buffer_from_buffer vertex_create_buffer_from_buffer_ext push_local_notification push_get_first_local_notification push_get_next_local_notification push_cancel_local_notification skeleton_animation_set skeleton_animation_get skeleton_animation_mix skeleton_animation_set_ext skeleton_animation_get_ext skeleton_animation_get_duration skeleton_animation_get_frames skeleton_animation_clear skeleton_skin_set skeleton_skin_get skeleton_attachment_set skeleton_attachment_get skeleton_attachment_create skeleton_collision_draw_set skeleton_bone_data_get skeleton_bone_data_set skeleton_bone_state_get skeleton_bone_state_set skeleton_get_minmax skeleton_get_num_bounds skeleton_get_bounds skeleton_animation_get_frame skeleton_animation_set_frame draw_skeleton draw_skeleton_time draw_skeleton_instance draw_skeleton_collision skeleton_animation_list skeleton_skin_list skeleton_slot_data layer_get_id layer_get_id_at_depth layer_get_depth layer_create layer_destroy layer_destroy_instances layer_add_instance layer_has_instance layer_set_visible layer_get_visible layer_exists layer_x layer_y layer_get_x layer_get_y layer_hspeed layer_vspeed layer_get_hspeed layer_get_vspeed layer_script_begin layer_script_end layer_shader layer_get_script_begin layer_get_script_end layer_get_shader layer_set_target_room layer_get_target_room layer_reset_target_room layer_get_all layer_get_all_elements layer_get_name layer_depth layer_get_element_layer layer_get_element_type layer_element_move layer_force_draw_depth layer_is_draw_depth_forced layer_get_forced_depth layer_background_get_id layer_background_exists layer_background_create layer_background_destroy layer_background_visible layer_background_change layer_background_sprite layer_background_htiled layer_background_vtiled layer_background_stretch layer_background_yscale layer_background_xscale layer_background_blend layer_background_alpha layer_background_index layer_background_speed layer_background_get_visible layer_background_get_sprite layer_background_get_htiled layer_background_get_vtiled layer_background_get_stretch layer_background_get_yscale layer_background_get_xscale layer_background_get_blend layer_background_get_alpha layer_background_get_index layer_background_get_speed layer_sprite_get_id layer_sprite_exists layer_sprite_create layer_sprite_destroy layer_sprite_change layer_sprite_index layer_sprite_speed layer_sprite_xscale layer_sprite_yscale layer_sprite_angle layer_sprite_blend layer_sprite_alpha layer_sprite_x layer_sprite_y layer_sprite_get_sprite layer_sprite_get_index layer_sprite_get_speed layer_sprite_get_xscale layer_sprite_get_yscale layer_sprite_get_angle layer_sprite_get_blend layer_sprite_get_alpha layer_sprite_get_x layer_sprite_get_y layer_tilemap_get_id layer_tilemap_exists layer_tilemap_create layer_tilemap_destroy tilemap_tileset tilemap_x tilemap_y tilemap_set tilemap_set_at_pixel tilemap_get_tileset tilemap_get_tile_width tilemap_get_tile_height tilemap_get_width tilemap_get_height tilemap_get_x tilemap_get_y tilemap_get tilemap_get_at_pixel tilemap_get_cell_x_at_pixel tilemap_get_cell_y_at_pixel tilemap_clear draw_tilemap draw_tile tilemap_set_global_mask tilemap_get_global_mask tilemap_set_mask tilemap_get_mask tilemap_get_frame tile_set_empty tile_set_index tile_set_flip tile_set_mirror tile_set_rotate tile_get_empty tile_get_index tile_get_flip tile_get_mirror tile_get_rotate layer_tile_exists layer_tile_create layer_tile_destroy layer_tile_change layer_tile_xscale layer_tile_yscale layer_tile_blend layer_tile_alpha layer_tile_x layer_tile_y layer_tile_region layer_tile_visible layer_tile_get_sprite layer_tile_get_xscale layer_tile_get_yscale layer_tile_get_blend layer_tile_get_alpha layer_tile_get_x layer_tile_get_y layer_tile_get_region layer_tile_get_visible layer_instance_get_instance instance_activate_layer instance_deactivate_layer camera_create camera_create_view camera_destroy camera_apply camera_get_active camera_get_default camera_set_default camera_set_view_mat camera_set_proj_mat camera_set_update_script camera_set_begin_script camera_set_end_script camera_set_view_pos camera_set_view_size camera_set_view_speed camera_set_view_border camera_set_view_angle camera_set_view_target camera_get_view_mat camera_get_proj_mat camera_get_update_script camera_get_begin_script camera_get_end_script camera_get_view_x camera_get_view_y camera_get_view_width camera_get_view_height camera_get_view_speed_x camera_get_view_speed_y camera_get_view_border_x camera_get_view_border_y camera_get_view_angle camera_get_view_target view_get_camera view_get_visible view_get_xport view_get_yport view_get_wport view_get_hport view_get_surface_id view_set_camera view_set_visible view_set_xport view_set_yport view_set_wport view_set_hport view_set_surface_id gesture_drag_time gesture_drag_distance gesture_flick_speed gesture_double_tap_time gesture_double_tap_distance gesture_pinch_distance gesture_pinch_angle_towards gesture_pinch_angle_away gesture_rotate_time gesture_rotate_angle gesture_tap_count gesture_get_drag_time gesture_get_drag_distance gesture_get_flick_speed gesture_get_double_tap_time gesture_get_double_tap_distance gesture_get_pinch_distance gesture_get_pinch_angle_towards gesture_get_pinch_angle_away gesture_get_rotate_time gesture_get_rotate_angle gesture_get_tap_count keyboard_virtual_show keyboard_virtual_hide keyboard_virtual_status keyboard_virtual_height",literal:"self other all noone global local undefined pointer_invalid pointer_null path_action_stop path_action_restart path_action_continue path_action_reverse true false pi GM_build_date GM_version GM_runtime_version timezone_local timezone_utc gamespeed_fps gamespeed_microseconds ev_create ev_destroy ev_step ev_alarm ev_keyboard ev_mouse ev_collision ev_other ev_draw ev_draw_begin ev_draw_end ev_draw_pre ev_draw_post ev_keypress ev_keyrelease ev_trigger ev_left_button ev_right_button ev_middle_button ev_no_button ev_left_press ev_right_press ev_middle_press ev_left_release ev_right_release ev_middle_release ev_mouse_enter ev_mouse_leave ev_mouse_wheel_up ev_mouse_wheel_down ev_global_left_button ev_global_right_button ev_global_middle_button ev_global_left_press ev_global_right_press ev_global_middle_press ev_global_left_release ev_global_right_release ev_global_middle_release ev_joystick1_left ev_joystick1_right ev_joystick1_up ev_joystick1_down ev_joystick1_button1 ev_joystick1_button2 ev_joystick1_button3 ev_joystick1_button4 ev_joystick1_button5 ev_joystick1_button6 ev_joystick1_button7 ev_joystick1_button8 ev_joystick2_left ev_joystick2_right ev_joystick2_up ev_joystick2_down ev_joystick2_button1 ev_joystick2_button2 ev_joystick2_button3 ev_joystick2_button4 ev_joystick2_button5 ev_joystick2_button6 ev_joystick2_button7 ev_joystick2_button8 ev_outside ev_boundary ev_game_start ev_game_end ev_room_start ev_room_end ev_no_more_lives ev_animation_end ev_end_of_path ev_no_more_health ev_close_button ev_user0 ev_user1 ev_user2 ev_user3 ev_user4 ev_user5 ev_user6 ev_user7 ev_user8 ev_user9 ev_user10 ev_user11 ev_user12 ev_user13 ev_user14 ev_user15 ev_step_normal ev_step_begin ev_step_end ev_gui ev_gui_begin ev_gui_end ev_cleanup ev_gesture ev_gesture_tap ev_gesture_double_tap ev_gesture_drag_start ev_gesture_dragging ev_gesture_drag_end ev_gesture_flick ev_gesture_pinch_start ev_gesture_pinch_in ev_gesture_pinch_out ev_gesture_pinch_end ev_gesture_rotate_start ev_gesture_rotating ev_gesture_rotate_end ev_global_gesture_tap ev_global_gesture_double_tap ev_global_gesture_drag_start ev_global_gesture_dragging ev_global_gesture_drag_end ev_global_gesture_flick ev_global_gesture_pinch_start ev_global_gesture_pinch_in ev_global_gesture_pinch_out ev_global_gesture_pinch_end ev_global_gesture_rotate_start ev_global_gesture_rotating ev_global_gesture_rotate_end vk_nokey vk_anykey vk_enter vk_return vk_shift vk_control vk_alt vk_escape vk_space vk_backspace vk_tab vk_pause vk_printscreen vk_left vk_right vk_up vk_down vk_home vk_end vk_delete vk_insert vk_pageup vk_pagedown vk_f1 vk_f2 vk_f3 vk_f4 vk_f5 vk_f6 vk_f7 vk_f8 vk_f9 vk_f10 vk_f11 vk_f12 vk_numpad0 vk_numpad1 vk_numpad2 vk_numpad3 vk_numpad4 vk_numpad5 vk_numpad6 vk_numpad7 vk_numpad8 vk_numpad9 vk_divide vk_multiply vk_subtract vk_add vk_decimal vk_lshift vk_lcontrol vk_lalt vk_rshift vk_rcontrol vk_ralt mb_any mb_none mb_left mb_right mb_middle 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lighttype_point iap_ev_storeload iap_ev_product iap_ev_purchase iap_ev_consume iap_ev_restore iap_storeload_ok iap_storeload_failed iap_status_uninitialised iap_status_unavailable iap_status_loading iap_status_available iap_status_processing iap_status_restoring iap_failed iap_unavailable iap_available iap_purchased iap_canceled iap_refunded fb_login_default fb_login_fallback_to_webview fb_login_no_fallback_to_webview fb_login_forcing_webview fb_login_use_system_account fb_login_forcing_safari phy_joint_anchor_1_x phy_joint_anchor_1_y phy_joint_anchor_2_x phy_joint_anchor_2_y phy_joint_reaction_force_x phy_joint_reaction_force_y phy_joint_reaction_torque phy_joint_motor_speed phy_joint_angle phy_joint_motor_torque phy_joint_max_motor_torque phy_joint_translation phy_joint_speed phy_joint_motor_force phy_joint_max_motor_force phy_joint_length_1 phy_joint_length_2 phy_joint_damping_ratio phy_joint_frequency phy_joint_lower_angle_limit phy_joint_upper_angle_limit phy_joint_angle_limits phy_joint_max_length phy_joint_max_torque phy_joint_max_force phy_debug_render_aabb phy_debug_render_collision_pairs phy_debug_render_coms phy_debug_render_core_shapes phy_debug_render_joints phy_debug_render_obb phy_debug_render_shapes phy_particle_flag_water phy_particle_flag_zombie phy_particle_flag_wall phy_particle_flag_spring phy_particle_flag_elastic phy_particle_flag_viscous phy_particle_flag_powder phy_particle_flag_tensile phy_particle_flag_colourmixing phy_particle_flag_colormixing phy_particle_group_flag_solid phy_particle_group_flag_rigid phy_particle_data_flag_typeflags phy_particle_data_flag_position phy_particle_data_flag_velocity phy_particle_data_flag_colour phy_particle_data_flag_color phy_particle_data_flag_category achievement_our_info achievement_friends_info achievement_leaderboard_info achievement_achievement_info achievement_filter_all_players achievement_filter_friends_only achievement_filter_favorites_only achievement_type_achievement_challenge 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EASTEUROPE_CHARSET RUSSIAN_CHARSET SYMBOL_CHARSET SHIFTJIS_CHARSET HANGEUL_CHARSET GB2312_CHARSET CHINESEBIG5_CHARSET JOHAB_CHARSET HEBREW_CHARSET ARABIC_CHARSET GREEK_CHARSET TURKISH_CHARSET VIETNAMESE_CHARSET THAI_CHARSET MAC_CHARSET BALTIC_CHARSET OEM_CHARSET gp_face1 gp_face2 gp_face3 gp_face4 gp_shoulderl gp_shoulderr gp_shoulderlb gp_shoulderrb gp_select gp_start gp_stickl gp_stickr gp_padu gp_padd gp_padl gp_padr gp_axislh gp_axislv gp_axisrh gp_axisrv ov_friends ov_community ov_players ov_settings ov_gamegroup ov_achievements lb_sort_none lb_sort_ascending lb_sort_descending lb_disp_none lb_disp_numeric lb_disp_time_sec lb_disp_time_ms ugc_result_success ugc_filetype_community ugc_filetype_microtrans ugc_visibility_public ugc_visibility_friends_only ugc_visibility_private ugc_query_RankedByVote ugc_query_RankedByPublicationDate ugc_query_AcceptedForGameRankedByAcceptanceDate ugc_query_RankedByTrend ugc_query_FavoritedByFriendsRankedByPublicationDate 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' +\n 'goto save else use module select case ' +\n 'access blank direct exist file fmt form formatted iostat name named nextrec number opened rec recl sequential status unformatted unit ' +\n 'continue format pause cycle exit ' +\n 'c_null_char c_alert c_backspace c_form_feed flush wait decimal round iomsg ' +\n 'synchronous nopass non_overridable pass protected volatile abstract extends import ' +\n 'non_intrinsic value deferred generic final enumerator class associate bind enum ' +\n 'c_int c_short c_long c_long_long c_signed_char c_size_t c_int8_t c_int16_t c_int32_t c_int64_t c_int_least8_t c_int_least16_t ' +\n 'c_int_least32_t c_int_least64_t c_int_fast8_t c_int_fast16_t c_int_fast32_t c_int_fast64_t c_intmax_t C_intptr_t c_float c_double ' +\n 'c_long_double c_float_complex c_double_complex c_long_double_complex c_bool c_char c_null_ptr c_null_funptr ' +\n 'c_new_line c_carriage_return c_horizontal_tab c_vertical_tab iso_c_binding c_loc c_funloc c_associated c_f_pointer ' +\n 'c_ptr c_funptr iso_fortran_env character_storage_size error_unit file_storage_size input_unit iostat_end iostat_eor ' +\n 'numeric_storage_size output_unit c_f_procpointer ieee_arithmetic ieee_support_underflow_control ' +\n 'ieee_get_underflow_mode ieee_set_underflow_mode newunit contiguous recursive ' +\n 'pad position action delim readwrite eor advance nml interface procedure namelist include sequence elemental pure ' +\n 'integer real character complex logical dimension allocatable|10 parameter ' +\n 'external implicit|10 none double precision assign intent optional pointer ' +\n 'target in out common equivalence data ' +\n // IRPF90 special keywords\n 'begin_provider &begin_provider end_provider begin_shell end_shell begin_template end_template subst assert touch ' +\n 'soft_touch provide no_dep free irp_if irp_else irp_endif irp_write irp_read',\n built_in: 'alog alog10 amax0 amax1 amin0 amin1 amod cabs ccos cexp clog csin csqrt dabs dacos dasin datan datan2 dcos dcosh ddim dexp dint ' +\n 'dlog dlog10 dmax1 dmin1 dmod dnint dsign dsin dsinh dsqrt dtan dtanh float iabs idim idint idnint ifix isign max0 max1 min0 min1 sngl ' +\n 'algama cdabs cdcos cdexp cdlog cdsin cdsqrt cqabs cqcos cqexp cqlog cqsin cqsqrt dcmplx dconjg derf derfc dfloat dgamma dimag dlgama ' +\n 'iqint qabs qacos qasin qatan qatan2 qcmplx qconjg qcos qcosh qdim qerf qerfc qexp qgamma qimag qlgama qlog qlog10 qmax1 qmin1 qmod ' +\n 'qnint qsign qsin qsinh qsqrt qtan qtanh abs acos aimag aint anint asin atan atan2 char cmplx conjg cos cosh exp ichar index int log ' +\n 'log10 max min nint sign sin sinh sqrt tan tanh print write dim lge lgt lle llt mod nullify allocate deallocate ' +\n 'adjustl adjustr all allocated any associated bit_size btest ceiling count cshift date_and_time digits dot_product ' +\n 'eoshift epsilon exponent floor fraction huge iand ibclr ibits ibset ieor ior ishft ishftc lbound len_trim matmul ' +\n 'maxexponent maxloc maxval merge minexponent minloc minval modulo mvbits nearest pack present product ' +\n 'radix random_number random_seed range repeat reshape rrspacing scale scan selected_int_kind selected_real_kind ' +\n 'set_exponent shape size spacing spread sum system_clock tiny transpose trim ubound unpack verify achar iachar transfer ' +\n 'dble entry dprod cpu_time command_argument_count get_command get_command_argument get_environment_variable is_iostat_end ' +\n 'ieee_arithmetic ieee_support_underflow_control ieee_get_underflow_mode ieee_set_underflow_mode ' +\n 'is_iostat_eor move_alloc new_line selected_char_kind same_type_as extends_type_of' +\n 'acosh asinh atanh bessel_j0 bessel_j1 bessel_jn bessel_y0 bessel_y1 bessel_yn erf erfc erfc_scaled gamma log_gamma hypot norm2 ' +\n 'atomic_define atomic_ref execute_command_line leadz trailz storage_size merge_bits ' +\n 'bge bgt ble blt dshiftl dshiftr findloc iall iany iparity image_index lcobound ucobound maskl maskr ' +\n 'num_images parity popcnt poppar shifta shiftl shiftr this_image ' +\n 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'>',\n keywords: {name: 'style'},\n contains: [TAG_INTERNALS],\n starts: {\n end: '', returnEnd: true,\n subLanguage: ['css', 'xml']\n }\n },\n {\n className: 'tag',\n // See the comment in the ",returnEnd:!0,subLanguage:["css","xml"]}},{className:"tag",begin:"|$)",end:">",keywords:{name:"script"},contains:[t],starts:{end:"<\/script>",returnEnd:!0,subLanguage:["actionscript","javascript","handlebars","xml","vbscript"]}},{className:"tag",begin:"",contains:[{className:"name",begin:/[^\/><\s]+/,relevance:0},t]}]}}},"+RZH":function(e,t){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.default=void 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Add-NodeKeys Add-NsxDynamicCriteria Add-NsxDynamicMemberSet Add-NsxEdgeInterfaceAddress Add-NsxFirewallExclusionListMember Add-NsxFirewallRuleMember Add-NsxIpSetMember Add-NsxLicense Add-NsxLoadBalancerPoolMember Add-NsxLoadBalancerVip Add-NsxSecondaryManager Add-NsxSecurityGroupMember Add-NsxSecurityPolicyRule Add-NsxSecurityPolicyRuleGroup Add-NsxSecurityPolicyRuleService Add-NsxServiceGroupMember Add-NsxTransportZoneMember Add-PassthroughDevice Add-VDSwitchPhysicalNetworkAdapter Add-VDSwitchVMHost Add-VMHost Add-VMHostNtpServer Add-VirtualSwitchPhysicalNetworkAdapter Add-XmlElement Add-vRACustomForm Add-vRAPrincipalToTenantRole Add-vRAReservationNetwork Add-vRAReservationStorage Clear-NsxEdgeInterface Clear-NsxManagerTimeSettings Compress-Archive Connect-CIServer Connect-CisServer Connect-HCXServer Connect-NIServer Connect-NsxLogicalSwitch Connect-NsxServer Connect-NsxtServer Connect-SrmServer Connect-VIServer Connect-Vmc Connect-vRAServer Connect-vRNIServer ConvertFrom-Markdown ConvertTo-MOFInstance Copy-DatastoreItem Copy-HardDisk Copy-NsxEdge Copy-VDisk Copy-VMGuestFile Debug-Runspace Disable-NsxEdgeSsh Disable-RunspaceDebug Disable-vRNIDataSource Disconnect-CIServer Disconnect-CisServer Disconnect-HCXServer Disconnect-NsxLogicalSwitch Disconnect-NsxServer Disconnect-NsxtServer Disconnect-SrmServer Disconnect-VIServer Disconnect-Vmc Disconnect-vRAServer Disconnect-vRNIServer Dismount-Tools Enable-NsxEdgeSsh Enable-RunspaceDebug Enable-vRNIDataSource Expand-Archive Export-NsxObject Export-SpbmStoragePolicy Export-VApp Export-VDPortGroup Export-VDSwitch Export-VMHostProfile Export-vRAIcon Export-vRAPackage Find-Command Find-DscResource Find-Module Find-NsxWhereVMUsed Find-Package Find-PackageProvider Find-RoleCapability Find-Script Format-Hex Format-VMHostDiskPartition Format-XML Generate-VersionInfo Get-AdvancedSetting Get-AlarmAction Get-AlarmActionTrigger Get-AlarmDefinition Get-Annotation Get-CDDrive Get-CIAccessControlRule Get-CIDatastore Get-CINetworkAdapter Get-CIRole Get-CIUser Get-CIVApp Get-CIVAppNetwork Get-CIVAppStartRule Get-CIVAppTemplate Get-CIVM Get-CIVMTemplate Get-CIView Get-Catalog Get-CisCommand Get-CisService Get-CloudCommand Get-Cluster Get-CompatibleVersionAddtionaPropertiesStr Get-ComplexResourceQualifier Get-ConfigurationErrorCount Get-ContentLibraryItem Get-CustomAttribute Get-DSCResourceModules Get-Datacenter Get-Datastore Get-DatastoreCluster Get-DrsClusterGroup Get-DrsRecommendation Get-DrsRule Get-DrsVMHostRule Get-DscResource Get-EdgeGateway Get-EncryptedPassword Get-ErrorReport Get-EsxCli Get-EsxTop Get-ExternalNetwork Get-FileHash Get-FloppyDrive Get-Folder Get-HAPrimaryVMHost Get-HCXAppliance Get-HCXApplianceCompute Get-HCXApplianceDVS Get-HCXApplianceDatastore Get-HCXApplianceNetwork Get-HCXContainer Get-HCXDatastore Get-HCXGateway Get-HCXInterconnectStatus Get-HCXJob Get-HCXMigration Get-HCXNetwork Get-HCXNetworkExtension Get-HCXReplication Get-HCXReplicationSnapshot Get-HCXService Get-HCXSite Get-HCXSitePairing Get-HCXVM Get-HardDisk Get-IScsiHbaTarget Get-InnerMostErrorRecord Get-InstallPath Get-InstalledModule Get-InstalledScript Get-Inventory Get-ItemPropertyValue Get-KeyManagementServer Get-KmipClientCertificate Get-KmsCluster Get-Log Get-LogType Get-MarkdownOption Get-Media Get-MofInstanceName Get-MofInstanceText Get-NetworkAdapter Get-NetworkPool Get-NfsUser Get-NicTeamingPolicy Get-NsxApplicableMember Get-NsxApplicableSecurityAction Get-NsxBackingDVSwitch Get-NsxBackingPortGroup Get-NsxCliDfwAddrSet Get-NsxCliDfwFilter Get-NsxCliDfwRule Get-NsxClusterStatus Get-NsxController Get-NsxDynamicCriteria Get-NsxDynamicMemberSet Get-NsxEdge Get-NsxEdgeBgp Get-NsxEdgeBgpNeighbour Get-NsxEdgeCertificate Get-NsxEdgeCsr Get-NsxEdgeFirewall Get-NsxEdgeFirewallRule Get-NsxEdgeInterface Get-NsxEdgeInterfaceAddress Get-NsxEdgeNat Get-NsxEdgeNatRule Get-NsxEdgeOspf Get-NsxEdgeOspfArea Get-NsxEdgeOspfInterface Get-NsxEdgePrefix Get-NsxEdgeRedistributionRule Get-NsxEdgeRouting Get-NsxEdgeStaticRoute Get-NsxEdgeSubInterface Get-NsxFirewallExclusionListMember Get-NsxFirewallGlobalConfiguration Get-NsxFirewallPublishStatus Get-NsxFirewallRule Get-NsxFirewallRuleMember Get-NsxFirewallSavedConfiguration Get-NsxFirewallSection Get-NsxFirewallThreshold Get-NsxIpPool Get-NsxIpSet Get-NsxLicense Get-NsxLoadBalancer Get-NsxLoadBalancerApplicationProfile Get-NsxLoadBalancerApplicationRule Get-NsxLoadBalancerMonitor Get-NsxLoadBalancerPool Get-NsxLoadBalancerPoolMember Get-NsxLoadBalancerStats Get-NsxLoadBalancerVip Get-NsxLogicalRouter Get-NsxLogicalRouterBgp Get-NsxLogicalRouterBgpNeighbour Get-NsxLogicalRouterBridge Get-NsxLogicalRouterBridging Get-NsxLogicalRouterInterface Get-NsxLogicalRouterOspf Get-NsxLogicalRouterOspfArea Get-NsxLogicalRouterOspfInterface Get-NsxLogicalRouterPrefix Get-NsxLogicalRouterRedistributionRule Get-NsxLogicalRouterRouting Get-NsxLogicalRouterStaticRoute Get-NsxLogicalSwitch Get-NsxMacSet Get-NsxManagerBackup Get-NsxManagerCertificate Get-NsxManagerComponentSummary Get-NsxManagerNetwork Get-NsxManagerRole Get-NsxManagerSsoConfig Get-NsxManagerSyncStatus Get-NsxManagerSyslogServer Get-NsxManagerSystemSummary Get-NsxManagerTimeSettings Get-NsxManagerVcenterConfig Get-NsxSecondaryManager Get-NsxSecurityGroup Get-NsxSecurityGroupEffectiveIpAddress Get-NsxSecurityGroupEffectiveMacAddress Get-NsxSecurityGroupEffectiveMember Get-NsxSecurityGroupEffectiveVirtualMachine Get-NsxSecurityGroupEffectiveVnic Get-NsxSecurityGroupMemberTypes Get-NsxSecurityPolicy Get-NsxSecurityPolicyHighestUsedPrecedence Get-NsxSecurityPolicyRule Get-NsxSecurityTag Get-NsxSecurityTagAssignment Get-NsxSegmentIdRange Get-NsxService Get-NsxServiceDefinition Get-NsxServiceGroup Get-NsxServiceGroupMember Get-NsxServiceProfile Get-NsxSpoofguardNic Get-NsxSpoofguardPolicy Get-NsxSslVpn Get-NsxSslVpnAuthServer Get-NsxSslVpnClientInstallationPackage Get-NsxSslVpnIpPool Get-NsxSslVpnPrivateNetwork Get-NsxSslVpnUser Get-NsxTransportZone Get-NsxUserRole Get-NsxVdsContext Get-NsxtPolicyService Get-NsxtService Get-OSCustomizationNicMapping Get-OSCustomizationSpec Get-Org Get-OrgNetwork Get-OrgVdc Get-OrgVdcNetwork Get-OvfConfiguration Get-PSCurrentConfigurationNode Get-PSDefaultConfigurationDocument Get-PSMetaConfigDocumentInstVersionInfo Get-PSMetaConfigurationProcessed Get-PSReadLineKeyHandler Get-PSReadLineOption Get-PSRepository Get-PSTopConfigurationName Get-PSVersion Get-Package Get-PackageProvider Get-PackageSource Get-PassthroughDevice Get-PositionInfo Get-PowerCLICommunity Get-PowerCLIConfiguration Get-PowerCLIHelp Get-PowerCLIVersion Get-PowerNsxVersion Get-ProviderVdc Get-PublicKeyFromFile Get-PublicKeyFromStore Get-ResourcePool Get-Runspace Get-RunspaceDebug Get-ScsiController Get-ScsiLun Get-ScsiLunPath Get-SecurityInfo Get-SecurityPolicy Get-Snapshot Get-SpbmCapability Get-SpbmCompatibleStorage Get-SpbmEntityConfiguration Get-SpbmFaultDomain Get-SpbmPointInTimeReplica Get-SpbmReplicationGroup Get-SpbmReplicationPair Get-SpbmStoragePolicy Get-Stat Get-StatInterval Get-StatType Get-Tag Get-TagAssignment Get-TagCategory Get-Task Get-Template Get-TimeZone Get-Uptime Get-UsbDevice Get-VAIOFilter Get-VApp Get-VDBlockedPolicy Get-VDPort Get-VDPortgroup Get-VDPortgroupOverridePolicy Get-VDSecurityPolicy Get-VDSwitch Get-VDSwitchPrivateVlan Get-VDTrafficShapingPolicy Get-VDUplinkLacpPolicy Get-VDUplinkTeamingPolicy Get-VDisk Get-VIAccount Get-VICommand Get-VICredentialStoreItem Get-VIEvent Get-VIObjectByVIView Get-VIPermission Get-VIPrivilege Get-VIProperty Get-VIRole Get-VM Get-VMGuest Get-VMHost Get-VMHostAccount Get-VMHostAdvancedConfiguration Get-VMHostAuthentication Get-VMHostAvailableTimeZone Get-VMHostDiagnosticPartition Get-VMHostDisk Get-VMHostDiskPartition Get-VMHostFirewallDefaultPolicy Get-VMHostFirewallException Get-VMHostFirmware Get-VMHostHardware Get-VMHostHba Get-VMHostModule Get-VMHostNetwork Get-VMHostNetworkAdapter Get-VMHostNtpServer Get-VMHostPatch Get-VMHostPciDevice Get-VMHostProfile Get-VMHostProfileImageCacheConfiguration Get-VMHostProfileRequiredInput Get-VMHostProfileStorageDeviceConfiguration Get-VMHostProfileUserConfiguration Get-VMHostProfileVmPortGroupConfiguration Get-VMHostRoute Get-VMHostService Get-VMHostSnmp Get-VMHostStartPolicy Get-VMHostStorage Get-VMHostSysLogServer Get-VMQuestion Get-VMResourceConfiguration Get-VMStartPolicy Get-VTpm Get-VTpmCSR Get-VTpmCertificate Get-VasaProvider Get-VasaStorageArray Get-View Get-VirtualPortGroup Get-VirtualSwitch Get-VmcSddcNetworkService Get-VmcService Get-VsanClusterConfiguration Get-VsanComponent Get-VsanDisk Get-VsanDiskGroup Get-VsanEvacuationPlan Get-VsanFaultDomain Get-VsanIscsiInitiatorGroup Get-VsanIscsiInitiatorGroupTargetAssociation Get-VsanIscsiLun Get-VsanIscsiTarget Get-VsanObject Get-VsanResyncingComponent Get-VsanRuntimeInfo Get-VsanSpaceUsage Get-VsanStat Get-VsanView Get-vRAApplianceServiceStatus Get-vRAAuthorizationRole Get-vRABlueprint Get-vRABusinessGroup Get-vRACatalogItem Get-vRACatalogItemRequestTemplate Get-vRACatalogPrincipal Get-vRAComponentRegistryService Get-vRAComponentRegistryServiceEndpoint Get-vRAComponentRegistryServiceStatus Get-vRAContent Get-vRAContentData Get-vRAContentType Get-vRACustomForm Get-vRAEntitledCatalogItem Get-vRAEntitledService Get-vRAEntitlement Get-vRAExternalNetworkProfile Get-vRAGroupPrincipal Get-vRAIcon Get-vRANATNetworkProfile Get-vRANetworkProfileIPAddressList Get-vRANetworkProfileIPRangeSummary Get-vRAPackage Get-vRAPackageContent Get-vRAPropertyDefinition Get-vRAPropertyGroup Get-vRARequest Get-vRARequestDetail Get-vRAReservation Get-vRAReservationComputeResource Get-vRAReservationComputeResourceMemory Get-vRAReservationComputeResourceNetwork Get-vRAReservationComputeResourceResourcePool Get-vRAReservationComputeResourceStorage Get-vRAReservationPolicy Get-vRAReservationTemplate Get-vRAReservationType Get-vRAResource Get-vRAResourceAction Get-vRAResourceActionRequestTemplate Get-vRAResourceMetric Get-vRAResourceOperation Get-vRAResourceType Get-vRARoutedNetworkProfile Get-vRAService Get-vRAServiceBlueprint Get-vRASourceMachine Get-vRAStorageReservationPolicy Get-vRATenant Get-vRATenantDirectory Get-vRATenantDirectoryStatus Get-vRATenantRole Get-vRAUserPrincipal Get-vRAUserPrincipalGroupMembership Get-vRAVersion Get-vRNIAPIVersion Get-vRNIApplication Get-vRNIApplicationTier Get-vRNIDataSource Get-vRNIDataSourceSNMPConfig Get-vRNIDatastore Get-vRNIDistributedSwitch Get-vRNIDistributedSwitchPortGroup Get-vRNIEntity Get-vRNIEntityName Get-vRNIFirewallRule Get-vRNIFlow Get-vRNIHost Get-vRNIHostVMKNic Get-vRNIIPSet Get-vRNIL2Network Get-vRNINSXManager Get-vRNINodes Get-vRNIProblem Get-vRNIRecommendedRules Get-vRNIRecommendedRulesNsxBundle Get-vRNISecurityGroup Get-vRNISecurityTag Get-vRNIService Get-vRNIServiceGroup Get-vRNIVM Get-vRNIVMvNIC Get-vRNIvCenter Get-vRNIvCenterCluster Get-vRNIvCenterDatacenter Get-vRNIvCenterFolder Grant-NsxSpoofguardNicApproval Import-CIVApp Import-CIVAppTemplate Import-NsxObject Import-PackageProvider Import-PowerShellDataFile Import-SpbmStoragePolicy Import-VApp Import-VMHostProfile Import-vRAContentData Import-vRAIcon Import-vRAPackage Initialize-ConfigurationRuntimeState Install-Module Install-NsxCluster Install-Package Install-PackageProvider Install-Script Install-VMHostPatch Invoke-DrsRecommendation Invoke-NsxCli Invoke-NsxClusterResolveAll Invoke-NsxManagerSync Invoke-NsxRestMethod Invoke-NsxWebRequest Invoke-VMHostProfile Invoke-VMScript Invoke-XpathQuery Invoke-vRADataCollection Invoke-vRARestMethod Invoke-vRATenantDirectorySync Invoke-vRNIRestMethod Join-String Mount-Tools Move-Cluster Move-Datacenter Move-Datastore Move-Folder Move-HardDisk Move-Inventory Move-NsxSecurityPolicyRule Move-ResourcePool Move-Template Move-VApp Move-VDisk Move-VM Move-VMHost New-AdvancedSetting New-AlarmAction New-AlarmActionTrigger New-CDDrive New-CIAccessControlRule New-CIVApp New-CIVAppNetwork New-CIVAppTemplate New-CIVM New-Cluster New-CustomAttribute New-Datacenter New-Datastore New-DatastoreCluster New-DatastoreDrive New-DrsClusterGroup New-DrsRule New-DrsVMHostRule New-DscChecksum New-FloppyDrive New-Folder New-Guid New-HCXAppliance New-HCXMigration New-HCXNetworkExtension New-HCXNetworkMapping New-HCXReplication New-HCXSitePairing New-HCXStaticRoute New-HardDisk New-IScsiHbaTarget New-KmipClientCertificate New-NetworkAdapter New-NfsUser New-NsxAddressSpec New-NsxClusterVxlanConfig New-NsxController New-NsxDynamicCriteriaSpec New-NsxEdge New-NsxEdgeBgpNeighbour New-NsxEdgeCsr New-NsxEdgeFirewallRule New-NsxEdgeInterfaceSpec New-NsxEdgeNatRule New-NsxEdgeOspfArea New-NsxEdgeOspfInterface New-NsxEdgePrefix New-NsxEdgeRedistributionRule New-NsxEdgeSelfSignedCertificate New-NsxEdgeStaticRoute New-NsxEdgeSubInterface New-NsxEdgeSubInterfaceSpec New-NsxFirewallRule New-NsxFirewallSavedConfiguration New-NsxFirewallSection New-NsxIpPool New-NsxIpSet New-NsxLoadBalancerApplicationProfile New-NsxLoadBalancerApplicationRule New-NsxLoadBalancerMemberSpec New-NsxLoadBalancerMonitor New-NsxLoadBalancerPool New-NsxLogicalRouter New-NsxLogicalRouterBgpNeighbour New-NsxLogicalRouterBridge New-NsxLogicalRouterInterface New-NsxLogicalRouterInterfaceSpec New-NsxLogicalRouterOspfArea New-NsxLogicalRouterOspfInterface New-NsxLogicalRouterPrefix New-NsxLogicalRouterRedistributionRule New-NsxLogicalRouterStaticRoute New-NsxLogicalSwitch New-NsxMacSet New-NsxManager New-NsxSecurityGroup New-NsxSecurityPolicy New-NsxSecurityPolicyAssignment New-NsxSecurityPolicyFirewallRuleSpec New-NsxSecurityPolicyGuestIntrospectionSpec New-NsxSecurityPolicyNetworkIntrospectionSpec New-NsxSecurityTag New-NsxSecurityTagAssignment New-NsxSegmentIdRange New-NsxService New-NsxServiceGroup New-NsxSpoofguardPolicy New-NsxSslVpnAuthServer New-NsxSslVpnClientInstallationPackage New-NsxSslVpnIpPool New-NsxSslVpnPrivateNetwork New-NsxSslVpnUser New-NsxTransportZone New-NsxVdsContext New-OSCustomizationNicMapping New-OSCustomizationSpec New-Org New-OrgNetwork New-OrgVdc New-OrgVdcNetwork New-ResourcePool New-ScriptFileInfo New-ScsiController New-Snapshot New-SpbmRule New-SpbmRuleSet New-SpbmStoragePolicy New-StatInterval New-Tag New-TagAssignment New-TagCategory New-Template New-TemporaryFile New-VAIOFilter New-VApp New-VDPortgroup New-VDSwitch New-VDSwitchPrivateVlan New-VDisk New-VICredentialStoreItem New-VIInventoryDrive New-VIPermission New-VIProperty New-VIRole New-VISamlSecurityContext New-VM New-VMHostAccount New-VMHostNetworkAdapter New-VMHostProfile New-VMHostProfileVmPortGroupConfiguration New-VMHostRoute New-VTpm New-VasaProvider New-VcsOAuthSecurityContext New-VirtualPortGroup New-VirtualSwitch New-VsanDisk New-VsanDiskGroup New-VsanFaultDomain New-VsanIscsiInitiatorGroup New-VsanIscsiInitiatorGroupTargetAssociation New-VsanIscsiLun New-VsanIscsiTarget New-vRABusinessGroup New-vRAEntitlement New-vRAExternalNetworkProfile New-vRAGroupPrincipal New-vRANATNetworkProfile New-vRANetworkProfileIPRangeDefinition New-vRAPackage New-vRAPropertyDefinition New-vRAPropertyGroup New-vRAReservation New-vRAReservationNetworkDefinition New-vRAReservationPolicy New-vRAReservationStorageDefinition New-vRARoutedNetworkProfile New-vRAService New-vRAStorageReservationPolicy New-vRATenant New-vRATenantDirectory New-vRAUserPrincipal New-vRNIApplication New-vRNIApplicationTier New-vRNIDataSource Open-VMConsoleWindow Publish-Module Publish-NsxSpoofguardPolicy Publish-Script Register-PSRepository Register-PackageSource Remove-AdvancedSetting Remove-AlarmAction Remove-AlarmActionTrigger Remove-Alias Remove-CDDrive Remove-CIAccessControlRule Remove-CIVApp Remove-CIVAppNetwork Remove-CIVAppTemplate Remove-Cluster Remove-CustomAttribute Remove-Datacenter Remove-Datastore Remove-DatastoreCluster Remove-DrsClusterGroup Remove-DrsRule Remove-DrsVMHostRule Remove-FloppyDrive Remove-Folder Remove-HCXAppliance Remove-HCXNetworkExtension Remove-HCXReplication Remove-HCXSitePairing Remove-HardDisk Remove-IScsiHbaTarget Remove-Inventory Remove-KeyManagementServer Remove-NetworkAdapter Remove-NfsUser Remove-NsxCluster Remove-NsxClusterVxlanConfig Remove-NsxController Remove-NsxDynamicCriteria Remove-NsxDynamicMemberSet Remove-NsxEdge Remove-NsxEdgeBgpNeighbour Remove-NsxEdgeCertificate Remove-NsxEdgeCsr Remove-NsxEdgeFirewallRule Remove-NsxEdgeInterfaceAddress Remove-NsxEdgeNatRule Remove-NsxEdgeOspfArea Remove-NsxEdgeOspfInterface Remove-NsxEdgePrefix Remove-NsxEdgeRedistributionRule Remove-NsxEdgeStaticRoute Remove-NsxEdgeSubInterface Remove-NsxFirewallExclusionListMember Remove-NsxFirewallRule Remove-NsxFirewallRuleMember Remove-NsxFirewallSavedConfiguration Remove-NsxFirewallSection Remove-NsxIpPool Remove-NsxIpSet Remove-NsxIpSetMember Remove-NsxLoadBalancerApplicationProfile Remove-NsxLoadBalancerMonitor Remove-NsxLoadBalancerPool Remove-NsxLoadBalancerPoolMember Remove-NsxLoadBalancerVip Remove-NsxLogicalRouter Remove-NsxLogicalRouterBgpNeighbour Remove-NsxLogicalRouterBridge Remove-NsxLogicalRouterInterface Remove-NsxLogicalRouterOspfArea Remove-NsxLogicalRouterOspfInterface Remove-NsxLogicalRouterPrefix Remove-NsxLogicalRouterRedistributionRule Remove-NsxLogicalRouterStaticRoute Remove-NsxLogicalSwitch Remove-NsxMacSet Remove-NsxSecondaryManager Remove-NsxSecurityGroup Remove-NsxSecurityGroupMember Remove-NsxSecurityPolicy Remove-NsxSecurityPolicyAssignment Remove-NsxSecurityPolicyRule Remove-NsxSecurityPolicyRuleGroup Remove-NsxSecurityPolicyRuleService Remove-NsxSecurityTag Remove-NsxSecurityTagAssignment Remove-NsxSegmentIdRange Remove-NsxService Remove-NsxServiceGroup Remove-NsxSpoofguardPolicy Remove-NsxSslVpnClientInstallationPackage Remove-NsxSslVpnIpPool Remove-NsxSslVpnPrivateNetwork Remove-NsxSslVpnUser Remove-NsxTransportZone Remove-NsxTransportZoneMember Remove-NsxVdsContext Remove-OSCustomizationNicMapping Remove-OSCustomizationSpec Remove-Org Remove-OrgNetwork Remove-OrgVdc Remove-OrgVdcNetwork Remove-PSReadLineKeyHandler Remove-PassthroughDevice Remove-ResourcePool Remove-Snapshot Remove-SpbmStoragePolicy Remove-StatInterval Remove-Tag Remove-TagAssignment Remove-TagCategory Remove-Template Remove-UsbDevice Remove-VAIOFilter Remove-VApp Remove-VDPortGroup Remove-VDSwitch Remove-VDSwitchPhysicalNetworkAdapter Remove-VDSwitchPrivateVlan Remove-VDSwitchVMHost Remove-VDisk Remove-VICredentialStoreItem Remove-VIPermission Remove-VIProperty Remove-VIRole Remove-VM Remove-VMHost Remove-VMHostAccount Remove-VMHostNetworkAdapter Remove-VMHostNtpServer Remove-VMHostProfile Remove-VMHostProfileVmPortGroupConfiguration Remove-VMHostRoute Remove-VTpm Remove-VasaProvider Remove-VirtualPortGroup Remove-VirtualSwitch Remove-VirtualSwitchPhysicalNetworkAdapter Remove-VsanDisk Remove-VsanDiskGroup Remove-VsanFaultDomain Remove-VsanIscsiInitiatorGroup Remove-VsanIscsiInitiatorGroupTargetAssociation Remove-VsanIscsiLun Remove-VsanIscsiTarget Remove-vRABusinessGroup Remove-vRACustomForm Remove-vRAExternalNetworkProfile Remove-vRAGroupPrincipal Remove-vRAIcon Remove-vRANATNetworkProfile Remove-vRAPackage Remove-vRAPrincipalFromTenantRole Remove-vRAPropertyDefinition Remove-vRAPropertyGroup Remove-vRAReservation Remove-vRAReservationNetwork Remove-vRAReservationPolicy Remove-vRAReservationStorage Remove-vRARoutedNetworkProfile Remove-vRAService Remove-vRAStorageReservationPolicy Remove-vRATenant Remove-vRATenantDirectory Remove-vRAUserPrincipal Remove-vRNIApplication Remove-vRNIApplicationTier Remove-vRNIDataSource Repair-NsxEdge Repair-VsanObject Request-vRACatalogItem Request-vRAResourceAction Restart-CIVApp Restart-CIVAppGuest Restart-CIVM Restart-CIVMGuest Restart-VM Restart-VMGuest Restart-VMHost Restart-VMHostService Resume-HCXReplication Revoke-NsxSpoofguardNicApproval Save-Module Save-Package Save-Script Search-Cloud Set-AdvancedSetting Set-AlarmDefinition Set-Annotation Set-CDDrive Set-CIAccessControlRule Set-CINetworkAdapter Set-CIVApp Set-CIVAppNetwork Set-CIVAppStartRule Set-CIVAppTemplate Set-Cluster Set-CustomAttribute Set-Datacenter Set-Datastore Set-DatastoreCluster Set-DrsClusterGroup Set-DrsRule Set-DrsVMHostRule Set-FloppyDrive Set-Folder Set-HCXAppliance Set-HCXMigration Set-HCXReplication Set-HardDisk Set-IScsiHbaTarget Set-KeyManagementServer Set-KmsCluster Set-MarkdownOption Set-NetworkAdapter Set-NfsUser Set-NicTeamingPolicy Set-NodeExclusiveResources Set-NodeManager Set-NodeResourceSource Set-NodeResources Set-NsxEdge Set-NsxEdgeBgp Set-NsxEdgeFirewall Set-NsxEdgeInterface Set-NsxEdgeNat Set-NsxEdgeOspf Set-NsxEdgeRouting Set-NsxFirewallGlobalConfiguration Set-NsxFirewallRule Set-NsxFirewallSavedConfiguration Set-NsxFirewallThreshold Set-NsxLoadBalancer Set-NsxLoadBalancerPoolMember Set-NsxLogicalRouter Set-NsxLogicalRouterBgp Set-NsxLogicalRouterBridging Set-NsxLogicalRouterInterface Set-NsxLogicalRouterOspf Set-NsxLogicalRouterRouting Set-NsxManager Set-NsxManagerRole Set-NsxManagerTimeSettings Set-NsxSecurityPolicy Set-NsxSecurityPolicyFirewallRule Set-NsxSslVpn Set-OSCustomizationNicMapping Set-OSCustomizationSpec Set-Org Set-OrgNetwork Set-OrgVdc Set-OrgVdcNetwork Set-PSCurrentConfigurationNode Set-PSDefaultConfigurationDocument Set-PSMetaConfigDocInsProcessedBeforeMeta Set-PSMetaConfigVersionInfoV2 Set-PSReadLineKeyHandler Set-PSReadLineOption Set-PSRepository Set-PSTopConfigurationName Set-PackageSource Set-PowerCLIConfiguration Set-ResourcePool Set-ScsiController Set-ScsiLun Set-ScsiLunPath Set-SecurityPolicy Set-Snapshot Set-SpbmEntityConfiguration Set-SpbmStoragePolicy Set-StatInterval Set-Tag Set-TagCategory Set-Template Set-VAIOFilter Set-VApp Set-VDBlockedPolicy Set-VDPort Set-VDPortgroup Set-VDPortgroupOverridePolicy Set-VDSecurityPolicy Set-VDSwitch Set-VDTrafficShapingPolicy Set-VDUplinkLacpPolicy Set-VDUplinkTeamingPolicy Set-VDVlanConfiguration Set-VDisk Set-VIPermission Set-VIRole Set-VM Set-VMHost Set-VMHostAccount Set-VMHostAdvancedConfiguration Set-VMHostAuthentication Set-VMHostDiagnosticPartition Set-VMHostFirewallDefaultPolicy Set-VMHostFirewallException Set-VMHostFirmware Set-VMHostHba Set-VMHostModule Set-VMHostNetwork Set-VMHostNetworkAdapter Set-VMHostProfile Set-VMHostProfileImageCacheConfiguration Set-VMHostProfileStorageDeviceConfiguration Set-VMHostProfileUserConfiguration Set-VMHostProfileVmPortGroupConfiguration Set-VMHostRoute Set-VMHostService Set-VMHostSnmp Set-VMHostStartPolicy Set-VMHostStorage Set-VMHostSysLogServer Set-VMQuestion Set-VMResourceConfiguration Set-VMStartPolicy Set-VTpm Set-VirtualPortGroup Set-VirtualSwitch Set-VsanClusterConfiguration Set-VsanFaultDomain Set-VsanIscsiInitiatorGroup Set-VsanIscsiLun Set-VsanIscsiTarget Set-vRABusinessGroup Set-vRACatalogItem Set-vRACustomForm Set-vRAEntitlement Set-vRAExternalNetworkProfile Set-vRANATNetworkProfile Set-vRAReservation Set-vRAReservationNetwork Set-vRAReservationPolicy Set-vRAReservationStorage Set-vRARoutedNetworkProfile Set-vRAService 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diag_fpsMin diag_frameNo diag_lightNewLoad diag_list diag_log diag_logSlowFrame diag_mergeConfigFile diag_recordTurretLimits diag_setLightNew diag_tickTime diag_toggle dialog diarySubjectExists didJIP didJIPOwner difficulty difficultyEnabled difficultyEnabledRTD difficultyOption direction directSay disableAI disableCollisionWith disableConversation disableDebriefingStats disableMapIndicators disableNVGEquipment disableRemoteSensors disableSerialization disableTIEquipment disableUAVConnectability disableUserInput displayAddEventHandler displayCtrl displayParent displayRemoveAllEventHandlers displayRemoveEventHandler displaySetEventHandler dissolveTeam distance distance2D distanceSqr distributionRegion do3DENAction doArtilleryFire doFire doFollow doFSM doGetOut doMove doorPhase doStop doSuppressiveFire doTarget doWatch drawArrow drawEllipse drawIcon drawIcon3D drawLine drawLine3D drawLink drawLocation drawPolygon drawRectangle drawTriangle driver drop dynamicSimulationDistance dynamicSimulationDistanceCoef dynamicSimulationEnabled dynamicSimulationSystemEnabled echo edit3DENMissionAttributes editObject editorSetEventHandler effectiveCommander emptyPositions enableAI enableAIFeature enableAimPrecision enableAttack enableAudioFeature enableAutoStartUpRTD enableAutoTrimRTD enableCamShake enableCaustics enableChannel enableCollisionWith enableCopilot enableDebriefingStats enableDiagLegend enableDynamicSimulation enableDynamicSimulationSystem enableEndDialog enableEngineArtillery enableEnvironment enableFatigue enableGunLights enableInfoPanelComponent enableIRLasers enableMimics enablePersonTurret enableRadio enableReload enableRopeAttach enableSatNormalOnDetail enableSaving enableSentences enableSimulation enableSimulationGlobal enableStamina enableTeamSwitch enableTraffic enableUAVConnectability enableUAVWaypoints enableVehicleCargo enableVehicleSensor enableWeaponDisassembly endLoadingScreen endMission engineOn enginesIsOnRTD enginesRpmRTD enginesTorqueRTD entities environmentEnabled estimatedEndServerTime estimatedTimeLeft evalObjectArgument everyBackpack everyContainer exec execEditorScript execFSM execVM exp expectedDestination exportJIPMessages eyeDirection eyePos face faction fadeMusic fadeRadio fadeSound fadeSpeech failMission fillWeaponsFromPool find findCover findDisplay findEditorObject findEmptyPosition findEmptyPositionReady findIf findNearestEnemy finishMissionInit finite fire fireAtTarget firstBackpack flag flagAnimationPhase flagOwner flagSide flagTexture fleeing floor flyInHeight flyInHeightASL fog fogForecast fogParams forceAddUniform forcedMap forceEnd forceFlagTexture forceFollowRoad forceMap forceRespawn forceSpeed forceWalk forceWeaponFire forceWeatherChange forEachMember forEachMemberAgent forEachMemberTeam forgetTarget format formation formationDirection formationLeader formationMembers formationPosition formationTask formatText formLeader freeLook fromEditor fuel fullCrew gearIDCAmmoCount gearSlotAmmoCount 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isUAVConnected isUIContext isUniformAllowed isVehicleCargo isVehicleRadarOn isVehicleSensorEnabled isWalking isWeaponDeployed isWeaponRested itemCargo items itemsWithMagazines join joinAs joinAsSilent joinSilent joinString kbAddDatabase kbAddDatabaseTargets kbAddTopic kbHasTopic kbReact kbRemoveTopic kbTell kbWasSaid keyImage keyName knowsAbout land landAt landResult language laserTarget lbAdd lbClear lbColor lbColorRight lbCurSel lbData lbDelete lbIsSelected lbPicture lbPictureRight lbSelection lbSetColor lbSetColorRight lbSetCurSel lbSetData lbSetPicture lbSetPictureColor lbSetPictureColorDisabled lbSetPictureColorSelected lbSetPictureRight lbSetPictureRightColor lbSetPictureRightColorDisabled lbSetPictureRightColorSelected lbSetSelectColor lbSetSelectColorRight lbSetSelected lbSetText lbSetTextRight lbSetTooltip lbSetValue lbSize lbSort lbSortByValue lbText lbTextRight lbValue leader leaderboardDeInit leaderboardGetRows leaderboardInit leaderboardRequestRowsFriends leaderboardsRequestUploadScore leaderboardsRequestUploadScoreKeepBest leaderboardState leaveVehicle libraryCredits libraryDisclaimers lifeState lightAttachObject lightDetachObject lightIsOn lightnings limitSpeed linearConversion lineIntersects lineIntersectsObjs lineIntersectsSurfaces lineIntersectsWith linkItem list listObjects listRemoteTargets listVehicleSensors ln lnbAddArray lnbAddColumn lnbAddRow lnbClear lnbColor lnbCurSelRow lnbData lnbDeleteColumn lnbDeleteRow lnbGetColumnsPosition lnbPicture lnbSetColor lnbSetColumnsPos lnbSetCurSelRow lnbSetData lnbSetPicture lnbSetText lnbSetValue lnbSize lnbSort lnbSortByValue lnbText lnbValue load loadAbs loadBackpack loadFile loadGame loadIdentity loadMagazine loadOverlay loadStatus loadUniform loadVest local localize locationPosition lock lockCameraTo lockCargo lockDriver locked lockedCargo lockedDriver lockedTurret lockIdentity lockTurret lockWP log logEntities logNetwork logNetworkTerminate lookAt lookAtPos magazineCargo magazines magazinesAllTurrets magazinesAmmo magazinesAmmoCargo magazinesAmmoFull magazinesDetail magazinesDetailBackpack magazinesDetailUniform magazinesDetailVest magazinesTurret magazineTurretAmmo mapAnimAdd mapAnimClear mapAnimCommit mapAnimDone mapCenterOnCamera mapGridPosition markAsFinishedOnSteam markerAlpha markerBrush markerColor markerDir markerPos markerShape markerSize markerText markerType max members menuAction menuAdd menuChecked menuClear menuCollapse menuData menuDelete menuEnable menuEnabled menuExpand menuHover menuPicture menuSetAction menuSetCheck menuSetData menuSetPicture menuSetValue menuShortcut menuShortcutText menuSize menuSort menuText menuURL menuValue min mineActive mineDetectedBy missionConfigFile missionDifficulty missionName missionNamespace missionStart missionVersion mod modelToWorld modelToWorldVisual modelToWorldVisualWorld modelToWorldWorld modParams moonIntensity moonPhase morale move move3DENCamera moveInAny moveInCargo moveInCommander moveInDriver moveInGunner moveInTurret moveObjectToEnd moveOut moveTime moveTo moveToCompleted moveToFailed musicVolume name nameSound nearEntities nearestBuilding nearestLocation nearestLocations nearestLocationWithDubbing nearestObject nearestObjects nearestTerrainObjects nearObjects nearObjectsReady nearRoads nearSupplies nearTargets needReload netId netObjNull newOverlay nextMenuItemIndex nextWeatherChange nMenuItems not numberOfEnginesRTD numberToDate objectCurators objectFromNetId objectParent objStatus onBriefingGroup onBriefingNotes onBriefingPlan onBriefingTeamSwitch onCommandModeChanged onDoubleClick onEachFrame onGroupIconClick onGroupIconOverEnter onGroupIconOverLeave onHCGroupSelectionChanged onMapSingleClick onPlayerConnected onPlayerDisconnected onPreloadFinished onPreloadStarted onShowNewObject onTeamSwitch openCuratorInterface openDLCPage openMap openSteamApp openYoutubeVideo or orderGetIn overcast overcastForecast owner param params parseNumber parseSimpleArray parseText parsingNamespace particlesQuality pickWeaponPool pitch pixelGrid pixelGridBase pixelGridNoUIScale pixelH pixelW playableSlotsNumber playableUnits playAction playActionNow player playerRespawnTime playerSide playersNumber playGesture playMission playMove playMoveNow playMusic playScriptedMission playSound playSound3D position positionCameraToWorld posScreenToWorld posWorldToScreen ppEffectAdjust ppEffectCommit ppEffectCommitted ppEffectCreate ppEffectDestroy ppEffectEnable ppEffectEnabled ppEffectForceInNVG precision preloadCamera preloadObject preloadSound preloadTitleObj preloadTitleRsc preprocessFile preprocessFileLineNumbers primaryWeapon primaryWeaponItems primaryWeaponMagazine priority processDiaryLink productVersion profileName profileNamespace profileNameSteam progressLoadingScreen progressPosition progressSetPosition publicVariable publicVariableClient publicVariableServer pushBack pushBackUnique putWeaponPool queryItemsPool queryMagazinePool queryWeaponPool rad radioChannelAdd radioChannelCreate radioChannelRemove radioChannelSetCallSign radioChannelSetLabel radioVolume rain rainbow random rank rankId rating rectangular registeredTasks registerTask reload reloadEnabled remoteControl remoteExec remoteExecCall remoteExecutedOwner remove3DENConnection remove3DENEventHandler remove3DENLayer removeAction removeAll3DENEventHandlers removeAllActions removeAllAssignedItems removeAllContainers removeAllCuratorAddons removeAllCuratorCameraAreas removeAllCuratorEditingAreas removeAllEventHandlers removeAllHandgunItems removeAllItems removeAllItemsWithMagazines removeAllMissionEventHandlers removeAllMPEventHandlers removeAllMusicEventHandlers removeAllOwnedMines removeAllPrimaryWeaponItems removeAllWeapons removeBackpack removeBackpackGlobal removeCuratorAddons removeCuratorCameraArea removeCuratorEditableObjects removeCuratorEditingArea removeDrawIcon removeDrawLinks removeEventHandler removeFromRemainsCollector removeGoggles removeGroupIcon removeHandgunItem removeHeadgear removeItem removeItemFromBackpack removeItemFromUniform removeItemFromVest removeItems removeMagazine removeMagazineGlobal removeMagazines removeMagazinesTurret removeMagazineTurret removeMenuItem removeMissionEventHandler removeMPEventHandler removeMusicEventHandler removeOwnedMine removePrimaryWeaponItem removeSecondaryWeaponItem removeSimpleTask removeSwitchableUnit removeTeamMember removeUniform removeVest removeWeapon removeWeaponAttachmentCargo removeWeaponCargo removeWeaponGlobal removeWeaponTurret reportRemoteTarget requiredVersion resetCamShake resetSubgroupDirection resize resources respawnVehicle restartEditorCamera reveal revealMine reverse reversedMouseY roadAt roadsConnectedTo roleDescription ropeAttachedObjects ropeAttachedTo ropeAttachEnabled ropeAttachTo ropeCreate ropeCut ropeDestroy ropeDetach ropeEndPosition ropeLength ropes ropeUnwind ropeUnwound rotorsForcesRTD rotorsRpmRTD round runInitScript safeZoneH safeZoneW safeZoneWAbs safeZoneX safeZoneXAbs safeZoneY save3DENInventory saveGame saveIdentity saveJoysticks saveOverlay saveProfileNamespace saveStatus saveVar savingEnabled say say2D say3D scopeName score scoreSide screenshot screenToWorld scriptDone scriptName scudState secondaryWeapon secondaryWeaponItems secondaryWeaponMagazine select selectBestPlaces selectDiarySubject selectedEditorObjects selectEditorObject selectionNames selectionPosition selectLeader selectMax selectMin selectNoPlayer selectPlayer selectRandom selectRandomWeighted selectWeapon selectWeaponTurret sendAUMessage sendSimpleCommand sendTask sendTaskResult sendUDPMessage serverCommand serverCommandAvailable serverCommandExecutable serverName serverTime set set3DENAttribute set3DENAttributes set3DENGrid set3DENIconsVisible set3DENLayer set3DENLinesVisible set3DENLogicType set3DENMissionAttribute set3DENMissionAttributes set3DENModelsVisible set3DENObjectType set3DENSelected setAccTime setActualCollectiveRTD setAirplaneThrottle setAirportSide setAmmo 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setFSMVariable setFuel setFuelCargo setGroupIcon setGroupIconParams setGroupIconsSelectable setGroupIconsVisible setGroupId setGroupIdGlobal setGroupOwner setGusts setHideBehind setHit setHitIndex setHitPointDamage setHorizonParallaxCoef setHUDMovementLevels setIdentity setImportance setInfoPanel setLeader setLightAmbient setLightAttenuation setLightBrightness setLightColor setLightDayLight setLightFlareMaxDistance setLightFlareSize setLightIntensity setLightnings setLightUseFlare setLocalWindParams setMagazineTurretAmmo setMarkerAlpha setMarkerAlphaLocal setMarkerBrush setMarkerBrushLocal setMarkerColor setMarkerColorLocal setMarkerDir setMarkerDirLocal setMarkerPos setMarkerPosLocal setMarkerShape setMarkerShapeLocal setMarkerSize setMarkerSizeLocal setMarkerText setMarkerTextLocal setMarkerType setMarkerTypeLocal setMass setMimic setMousePosition setMusicEffect setMusicEventHandler setName setNameSound setObjectArguments setObjectMaterial setObjectMaterialGlobal setObjectProxy setObjectTexture setObjectTextureGlobal setObjectViewDistance setOvercast setOwner setOxygenRemaining setParticleCircle setParticleClass setParticleFire setParticleParams setParticleRandom setPilotCameraDirection setPilotCameraRotation setPilotCameraTarget setPilotLight setPiPEffect setPitch setPlateNumber setPlayable setPlayerRespawnTime setPos setPosASL setPosASL2 setPosASLW setPosATL setPosition setPosWorld setPylonLoadOut setPylonsPriority setRadioMsg setRain setRainbow setRandomLip setRank setRectangular setRepairCargo setRotorBrakeRTD setShadowDistance setShotParents setSide setSimpleTaskAlwaysVisible setSimpleTaskCustomData setSimpleTaskDescription setSimpleTaskDestination setSimpleTaskTarget setSimpleTaskType setSimulWeatherLayers setSize setSkill setSlingLoad setSoundEffect setSpeaker setSpeech setSpeedMode setStamina setStaminaScheme setStatValue setSuppression setSystemOfUnits setTargetAge setTaskMarkerOffset setTaskResult setTaskState setTerrainGrid setText setTimeMultiplier setTitleEffect setTrafficDensity setTrafficDistance setTrafficGap setTrafficSpeed setTriggerActivation setTriggerArea setTriggerStatements setTriggerText setTriggerTimeout setTriggerType setType setUnconscious setUnitAbility setUnitLoadout setUnitPos setUnitPosWeak setUnitRank setUnitRecoilCoefficient setUnitTrait setUnloadInCombat setUserActionText setUserMFDText setUserMFDvalue setVariable setVectorDir setVectorDirAndUp setVectorUp setVehicleAmmo setVehicleAmmoDef setVehicleArmor setVehicleCargo setVehicleId setVehicleLock setVehiclePosition setVehicleRadar setVehicleReceiveRemoteTargets setVehicleReportOwnPosition setVehicleReportRemoteTargets setVehicleTIPars setVehicleVarName setVelocity setVelocityModelSpace setVelocityTransformation setViewDistance setVisibleIfTreeCollapsed setWantedRPMRTD setWaves setWaypointBehaviour setWaypointCombatMode setWaypointCompletionRadius setWaypointDescription setWaypointForceBehaviour setWaypointFormation setWaypointHousePosition setWaypointLoiterRadius setWaypointLoiterType setWaypointName setWaypointPosition setWaypointScript setWaypointSpeed setWaypointStatements setWaypointTimeout setWaypointType setWaypointVisible setWeaponReloadingTime setWind setWindDir setWindForce setWindStr setWingForceScaleRTD setWPPos show3DIcons showChat showCinemaBorder showCommandingMenu showCompass showCuratorCompass showGPS showHUD showLegend showMap shownArtilleryComputer shownChat shownCompass shownCuratorCompass showNewEditorObject shownGPS shownHUD shownMap shownPad shownRadio shownScoretable shownUAVFeed shownWarrant shownWatch showPad showRadio showScoretable showSubtitles showUAVFeed showWarrant showWatch showWaypoint showWaypoints side sideChat sideEnemy sideFriendly sideRadio simpleTasks simulationEnabled simulCloudDensity simulCloudOcclusion simulInClouds simulWeatherSync sin size sizeOf skill skillFinal skipTime sleep sliderPosition sliderRange sliderSetPosition sliderSetRange sliderSetSpeed sliderSpeed slingLoadAssistantShown soldierMagazines someAmmo sort soundVolume spawn speaker speed speedMode splitString sqrt squadParams stance startLoadingScreen step stop stopEngineRTD stopped str sunOrMoon supportInfo suppressFor surfaceIsWater surfaceNormal surfaceType swimInDepth switchableUnits switchAction switchCamera switchGesture switchLight switchMove synchronizedObjects synchronizedTriggers synchronizedWaypoints synchronizeObjectsAdd synchronizeObjectsRemove synchronizeTrigger synchronizeWaypoint systemChat systemOfUnits tan targetKnowledge targets targetsAggregate targetsQuery taskAlwaysVisible taskChildren taskCompleted taskCustomData taskDescription taskDestination taskHint taskMarkerOffset taskParent taskResult taskState taskType teamMember teamName teams teamSwitch teamSwitchEnabled teamType terminate terrainIntersect terrainIntersectASL terrainIntersectAtASL text textLog textLogFormat tg time timeMultiplier titleCut titleFadeOut titleObj titleRsc titleText toArray toFixed toLower toString toUpper triggerActivated triggerActivation triggerArea triggerAttachedVehicle triggerAttachObject triggerAttachVehicle triggerDynamicSimulation triggerStatements triggerText triggerTimeout triggerTimeoutCurrent triggerType turretLocal turretOwner turretUnit tvAdd tvClear tvCollapse tvCollapseAll tvCount tvCurSel tvData tvDelete tvExpand tvExpandAll tvPicture tvSetColor tvSetCurSel tvSetData tvSetPicture tvSetPictureColor tvSetPictureColorDisabled tvSetPictureColorSelected tvSetPictureRight tvSetPictureRightColor tvSetPictureRightColorDisabled tvSetPictureRightColorSelected tvSetText tvSetTooltip tvSetValue tvSort tvSortByValue tvText tvTooltip tvValue type typeName typeOf UAVControl uiNamespace uiSleep unassignCurator unassignItem unassignTeam unassignVehicle underwater uniform uniformContainer uniformItems uniformMagazines unitAddons unitAimPosition unitAimPositionVisual unitBackpack unitIsUAV unitPos unitReady unitRecoilCoefficient units unitsBelowHeight unlinkItem 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physics_particle_delete_region_circle physics_particle_delete_region_box physics_particle_delete_region_poly physics_particle_set_flags physics_particle_set_category_flags physics_particle_draw physics_particle_draw_ext physics_particle_count physics_particle_get_data physics_particle_get_data_particle physics_particle_group_begin physics_particle_group_circle physics_particle_group_box physics_particle_group_polygon physics_particle_group_add_point physics_particle_group_end physics_particle_group_join physics_particle_group_delete physics_particle_group_count physics_particle_group_get_data physics_particle_group_get_mass physics_particle_group_get_inertia physics_particle_group_get_centre_x physics_particle_group_get_centre_y physics_particle_group_get_vel_x physics_particle_group_get_vel_y physics_particle_group_get_ang_vel physics_particle_group_get_x physics_particle_group_get_y physics_particle_group_get_angle physics_particle_set_group_flags physics_particle_get_group_flags physics_particle_get_max_count physics_particle_get_radius physics_particle_get_density physics_particle_get_damping physics_particle_get_gravity_scale physics_particle_set_max_count physics_particle_set_radius physics_particle_set_density physics_particle_set_damping physics_particle_set_gravity_scale network_create_socket network_create_socket_ext network_create_server network_create_server_raw network_connect network_connect_raw network_send_packet network_send_raw network_send_broadcast network_send_udp network_send_udp_raw network_set_timeout network_set_config network_resolve network_destroy buffer_create buffer_write buffer_read buffer_seek buffer_get_surface buffer_set_surface buffer_delete buffer_exists buffer_get_type buffer_get_alignment buffer_poke buffer_peek buffer_save buffer_save_ext buffer_load buffer_load_ext buffer_load_partial buffer_copy buffer_fill buffer_get_size buffer_tell buffer_resize buffer_md5 buffer_sha1 buffer_base64_encode buffer_base64_decode buffer_base64_decode_ext buffer_sizeof buffer_get_address buffer_create_from_vertex_buffer buffer_create_from_vertex_buffer_ext buffer_copy_from_vertex_buffer buffer_async_group_begin buffer_async_group_option buffer_async_group_end buffer_load_async buffer_save_async gml_release_mode gml_pragma steam_activate_overlay steam_is_overlay_enabled steam_is_overlay_activated steam_get_persona_name steam_initialised steam_is_cloud_enabled_for_app steam_is_cloud_enabled_for_account steam_file_persisted steam_get_quota_total steam_get_quota_free steam_file_write steam_file_write_file steam_file_read steam_file_delete steam_file_exists steam_file_size steam_file_share steam_is_screenshot_requested steam_send_screenshot steam_is_user_logged_on steam_get_user_steam_id steam_user_owns_dlc steam_user_installed_dlc steam_set_achievement steam_get_achievement steam_clear_achievement steam_set_stat_int steam_set_stat_float steam_set_stat_avg_rate steam_get_stat_int steam_get_stat_float steam_get_stat_avg_rate steam_reset_all_stats steam_reset_all_stats_achievements steam_stats_ready steam_create_leaderboard steam_upload_score steam_upload_score_ext steam_download_scores_around_user steam_download_scores steam_download_friends_scores steam_upload_score_buffer steam_upload_score_buffer_ext steam_current_game_language steam_available_languages steam_activate_overlay_browser steam_activate_overlay_user steam_activate_overlay_store steam_get_user_persona_name steam_get_app_id steam_get_user_account_id steam_ugc_download steam_ugc_create_item steam_ugc_start_item_update steam_ugc_set_item_title steam_ugc_set_item_description steam_ugc_set_item_visibility steam_ugc_set_item_tags steam_ugc_set_item_content steam_ugc_set_item_preview steam_ugc_submit_item_update steam_ugc_get_item_update_progress steam_ugc_subscribe_item steam_ugc_unsubscribe_item steam_ugc_num_subscribed_items steam_ugc_get_subscribed_items steam_ugc_get_item_install_info steam_ugc_get_item_update_info steam_ugc_request_item_details steam_ugc_create_query_user steam_ugc_create_query_user_ex steam_ugc_create_query_all steam_ugc_create_query_all_ex steam_ugc_query_set_cloud_filename_filter steam_ugc_query_set_match_any_tag steam_ugc_query_set_search_text steam_ugc_query_set_ranked_by_trend_days steam_ugc_query_add_required_tag steam_ugc_query_add_excluded_tag steam_ugc_query_set_return_long_description steam_ugc_query_set_return_total_only steam_ugc_query_set_allow_cached_response steam_ugc_send_query shader_set shader_get_name shader_reset shader_current shader_is_compiled shader_get_sampler_index shader_get_uniform shader_set_uniform_i shader_set_uniform_i_array shader_set_uniform_f shader_set_uniform_f_array shader_set_uniform_matrix shader_set_uniform_matrix_array shader_enable_corner_id texture_set_stage texture_get_texel_width texture_get_texel_height shaders_are_supported vertex_format_begin vertex_format_end vertex_format_delete vertex_format_add_position vertex_format_add_position_3d vertex_format_add_colour vertex_format_add_color vertex_format_add_normal vertex_format_add_texcoord vertex_format_add_textcoord vertex_format_add_custom vertex_create_buffer vertex_create_buffer_ext vertex_delete_buffer vertex_begin vertex_end vertex_position vertex_position_3d vertex_colour vertex_color vertex_argb vertex_texcoord vertex_normal vertex_float1 vertex_float2 vertex_float3 vertex_float4 vertex_ubyte4 vertex_submit vertex_freeze vertex_get_number vertex_get_buffer_size vertex_create_buffer_from_buffer vertex_create_buffer_from_buffer_ext push_local_notification push_get_first_local_notification push_get_next_local_notification push_cancel_local_notification skeleton_animation_set skeleton_animation_get skeleton_animation_mix skeleton_animation_set_ext skeleton_animation_get_ext skeleton_animation_get_duration skeleton_animation_get_frames skeleton_animation_clear skeleton_skin_set skeleton_skin_get skeleton_attachment_set skeleton_attachment_get skeleton_attachment_create skeleton_collision_draw_set skeleton_bone_data_get skeleton_bone_data_set skeleton_bone_state_get skeleton_bone_state_set skeleton_get_minmax skeleton_get_num_bounds skeleton_get_bounds skeleton_animation_get_frame skeleton_animation_set_frame draw_skeleton draw_skeleton_time draw_skeleton_instance draw_skeleton_collision skeleton_animation_list skeleton_skin_list skeleton_slot_data layer_get_id layer_get_id_at_depth layer_get_depth layer_create layer_destroy layer_destroy_instances layer_add_instance layer_has_instance layer_set_visible layer_get_visible layer_exists layer_x layer_y layer_get_x layer_get_y layer_hspeed layer_vspeed layer_get_hspeed layer_get_vspeed layer_script_begin layer_script_end layer_shader layer_get_script_begin layer_get_script_end layer_get_shader layer_set_target_room layer_get_target_room layer_reset_target_room layer_get_all layer_get_all_elements layer_get_name layer_depth layer_get_element_layer layer_get_element_type layer_element_move layer_force_draw_depth layer_is_draw_depth_forced layer_get_forced_depth layer_background_get_id layer_background_exists layer_background_create layer_background_destroy layer_background_visible layer_background_change layer_background_sprite layer_background_htiled layer_background_vtiled layer_background_stretch layer_background_yscale layer_background_xscale layer_background_blend layer_background_alpha layer_background_index layer_background_speed layer_background_get_visible layer_background_get_sprite layer_background_get_htiled layer_background_get_vtiled layer_background_get_stretch layer_background_get_yscale layer_background_get_xscale layer_background_get_blend layer_background_get_alpha layer_background_get_index layer_background_get_speed layer_sprite_get_id layer_sprite_exists layer_sprite_create layer_sprite_destroy layer_sprite_change layer_sprite_index layer_sprite_speed layer_sprite_xscale layer_sprite_yscale layer_sprite_angle layer_sprite_blend layer_sprite_alpha layer_sprite_x layer_sprite_y layer_sprite_get_sprite layer_sprite_get_index layer_sprite_get_speed layer_sprite_get_xscale layer_sprite_get_yscale layer_sprite_get_angle layer_sprite_get_blend layer_sprite_get_alpha layer_sprite_get_x layer_sprite_get_y layer_tilemap_get_id layer_tilemap_exists layer_tilemap_create layer_tilemap_destroy tilemap_tileset tilemap_x tilemap_y tilemap_set tilemap_set_at_pixel tilemap_get_tileset tilemap_get_tile_width tilemap_get_tile_height tilemap_get_width tilemap_get_height tilemap_get_x tilemap_get_y tilemap_get tilemap_get_at_pixel tilemap_get_cell_x_at_pixel tilemap_get_cell_y_at_pixel tilemap_clear draw_tilemap draw_tile tilemap_set_global_mask tilemap_get_global_mask tilemap_set_mask tilemap_get_mask tilemap_get_frame tile_set_empty tile_set_index tile_set_flip tile_set_mirror tile_set_rotate tile_get_empty tile_get_index tile_get_flip tile_get_mirror tile_get_rotate layer_tile_exists layer_tile_create layer_tile_destroy layer_tile_change layer_tile_xscale layer_tile_yscale layer_tile_blend layer_tile_alpha layer_tile_x layer_tile_y layer_tile_region layer_tile_visible layer_tile_get_sprite layer_tile_get_xscale layer_tile_get_yscale layer_tile_get_blend layer_tile_get_alpha layer_tile_get_x layer_tile_get_y layer_tile_get_region layer_tile_get_visible layer_instance_get_instance instance_activate_layer instance_deactivate_layer camera_create camera_create_view camera_destroy camera_apply camera_get_active camera_get_default camera_set_default camera_set_view_mat camera_set_proj_mat camera_set_update_script camera_set_begin_script camera_set_end_script camera_set_view_pos camera_set_view_size camera_set_view_speed camera_set_view_border camera_set_view_angle camera_set_view_target camera_get_view_mat camera_get_proj_mat camera_get_update_script camera_get_begin_script camera_get_end_script camera_get_view_x camera_get_view_y camera_get_view_width camera_get_view_height camera_get_view_speed_x camera_get_view_speed_y camera_get_view_border_x camera_get_view_border_y camera_get_view_angle camera_get_view_target view_get_camera view_get_visible view_get_xport view_get_yport view_get_wport view_get_hport view_get_surface_id view_set_camera view_set_visible view_set_xport view_set_yport view_set_wport view_set_hport view_set_surface_id gesture_drag_time gesture_drag_distance gesture_flick_speed gesture_double_tap_time gesture_double_tap_distance gesture_pinch_distance gesture_pinch_angle_towards gesture_pinch_angle_away gesture_rotate_time gesture_rotate_angle gesture_tap_count gesture_get_drag_time gesture_get_drag_distance gesture_get_flick_speed gesture_get_double_tap_time gesture_get_double_tap_distance gesture_get_pinch_distance gesture_get_pinch_angle_towards gesture_get_pinch_angle_away gesture_get_rotate_time gesture_get_rotate_angle gesture_get_tap_count keyboard_virtual_show keyboard_virtual_hide keyboard_virtual_status keyboard_virtual_height",literal:"self other all noone global local undefined pointer_invalid pointer_null path_action_stop path_action_restart path_action_continue path_action_reverse true false pi GM_build_date GM_version GM_runtime_version timezone_local timezone_utc gamespeed_fps gamespeed_microseconds ev_create ev_destroy ev_step ev_alarm ev_keyboard ev_mouse ev_collision ev_other ev_draw ev_draw_begin ev_draw_end ev_draw_pre ev_draw_post ev_keypress ev_keyrelease ev_trigger ev_left_button ev_right_button ev_middle_button ev_no_button ev_left_press ev_right_press ev_middle_press ev_left_release ev_right_release ev_middle_release ev_mouse_enter ev_mouse_leave ev_mouse_wheel_up ev_mouse_wheel_down ev_global_left_button ev_global_right_button ev_global_middle_button ev_global_left_press ev_global_right_press ev_global_middle_press ev_global_left_release ev_global_right_release ev_global_middle_release ev_joystick1_left ev_joystick1_right ev_joystick1_up ev_joystick1_down ev_joystick1_button1 ev_joystick1_button2 ev_joystick1_button3 ev_joystick1_button4 ev_joystick1_button5 ev_joystick1_button6 ev_joystick1_button7 ev_joystick1_button8 ev_joystick2_left ev_joystick2_right ev_joystick2_up ev_joystick2_down ev_joystick2_button1 ev_joystick2_button2 ev_joystick2_button3 ev_joystick2_button4 ev_joystick2_button5 ev_joystick2_button6 ev_joystick2_button7 ev_joystick2_button8 ev_outside ev_boundary ev_game_start ev_game_end ev_room_start ev_room_end ev_no_more_lives ev_animation_end ev_end_of_path ev_no_more_health ev_close_button ev_user0 ev_user1 ev_user2 ev_user3 ev_user4 ev_user5 ev_user6 ev_user7 ev_user8 ev_user9 ev_user10 ev_user11 ev_user12 ev_user13 ev_user14 ev_user15 ev_step_normal ev_step_begin ev_step_end ev_gui ev_gui_begin ev_gui_end ev_cleanup ev_gesture ev_gesture_tap ev_gesture_double_tap ev_gesture_drag_start ev_gesture_dragging ev_gesture_drag_end ev_gesture_flick ev_gesture_pinch_start ev_gesture_pinch_in ev_gesture_pinch_out ev_gesture_pinch_end ev_gesture_rotate_start ev_gesture_rotating ev_gesture_rotate_end ev_global_gesture_tap ev_global_gesture_double_tap ev_global_gesture_drag_start ev_global_gesture_dragging ev_global_gesture_drag_end ev_global_gesture_flick ev_global_gesture_pinch_start ev_global_gesture_pinch_in ev_global_gesture_pinch_out ev_global_gesture_pinch_end ev_global_gesture_rotate_start ev_global_gesture_rotating ev_global_gesture_rotate_end vk_nokey vk_anykey vk_enter vk_return vk_shift vk_control vk_alt vk_escape vk_space vk_backspace vk_tab vk_pause vk_printscreen vk_left vk_right vk_up vk_down vk_home vk_end vk_delete vk_insert vk_pageup vk_pagedown vk_f1 vk_f2 vk_f3 vk_f4 vk_f5 vk_f6 vk_f7 vk_f8 vk_f9 vk_f10 vk_f11 vk_f12 vk_numpad0 vk_numpad1 vk_numpad2 vk_numpad3 vk_numpad4 vk_numpad5 vk_numpad6 vk_numpad7 vk_numpad8 vk_numpad9 vk_divide vk_multiply vk_subtract vk_add vk_decimal vk_lshift vk_lcontrol vk_lalt vk_rshift vk_rcontrol vk_ralt mb_any mb_none mb_left mb_right mb_middle 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lighttype_point iap_ev_storeload iap_ev_product iap_ev_purchase iap_ev_consume iap_ev_restore iap_storeload_ok iap_storeload_failed iap_status_uninitialised iap_status_unavailable iap_status_loading iap_status_available iap_status_processing iap_status_restoring iap_failed iap_unavailable iap_available iap_purchased iap_canceled iap_refunded fb_login_default fb_login_fallback_to_webview fb_login_no_fallback_to_webview fb_login_forcing_webview fb_login_use_system_account fb_login_forcing_safari phy_joint_anchor_1_x phy_joint_anchor_1_y phy_joint_anchor_2_x phy_joint_anchor_2_y phy_joint_reaction_force_x phy_joint_reaction_force_y phy_joint_reaction_torque phy_joint_motor_speed phy_joint_angle phy_joint_motor_torque phy_joint_max_motor_torque phy_joint_translation phy_joint_speed phy_joint_motor_force phy_joint_max_motor_force phy_joint_length_1 phy_joint_length_2 phy_joint_damping_ratio phy_joint_frequency phy_joint_lower_angle_limit phy_joint_upper_angle_limit phy_joint_angle_limits phy_joint_max_length phy_joint_max_torque phy_joint_max_force phy_debug_render_aabb phy_debug_render_collision_pairs phy_debug_render_coms phy_debug_render_core_shapes phy_debug_render_joints phy_debug_render_obb phy_debug_render_shapes phy_particle_flag_water phy_particle_flag_zombie phy_particle_flag_wall phy_particle_flag_spring phy_particle_flag_elastic phy_particle_flag_viscous phy_particle_flag_powder phy_particle_flag_tensile phy_particle_flag_colourmixing phy_particle_flag_colormixing phy_particle_group_flag_solid phy_particle_group_flag_rigid phy_particle_data_flag_typeflags phy_particle_data_flag_position phy_particle_data_flag_velocity phy_particle_data_flag_colour phy_particle_data_flag_color phy_particle_data_flag_category achievement_our_info achievement_friends_info achievement_leaderboard_info achievement_achievement_info achievement_filter_all_players achievement_filter_friends_only achievement_filter_favorites_only achievement_type_achievement_challenge 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EASTEUROPE_CHARSET RUSSIAN_CHARSET SYMBOL_CHARSET SHIFTJIS_CHARSET HANGEUL_CHARSET GB2312_CHARSET CHINESEBIG5_CHARSET JOHAB_CHARSET HEBREW_CHARSET ARABIC_CHARSET GREEK_CHARSET TURKISH_CHARSET VIETNAMESE_CHARSET THAI_CHARSET MAC_CHARSET BALTIC_CHARSET OEM_CHARSET gp_face1 gp_face2 gp_face3 gp_face4 gp_shoulderl gp_shoulderr gp_shoulderlb gp_shoulderrb gp_select gp_start gp_stickl gp_stickr gp_padu gp_padd gp_padl gp_padr gp_axislh gp_axislv gp_axisrh gp_axisrv ov_friends ov_community ov_players ov_settings ov_gamegroup ov_achievements lb_sort_none lb_sort_ascending lb_sort_descending lb_disp_none lb_disp_numeric lb_disp_time_sec lb_disp_time_ms ugc_result_success ugc_filetype_community ugc_filetype_microtrans ugc_visibility_public ugc_visibility_friends_only ugc_visibility_private ugc_query_RankedByVote ugc_query_RankedByPublicationDate ugc_query_AcceptedForGameRankedByAcceptanceDate ugc_query_RankedByTrend ugc_query_FavoritedByFriendsRankedByPublicationDate 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extracted by mini-css-extract-plugin\nmodule.exports = {\"example\":\"example__9acWs\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"box\":\"box__3cKyY\",\"default\":\"default__v-emJ\",\"red\":\"red__339Cz\",\"orange\":\"orange__24_8v\",\"yellow\":\"yellow__1Jo9W\",\"lime\":\"lime__34yV5\",\"cyan\":\"cyan__3RqLr\",\"blue\":\"blue__13Wnj\",\"magenta\":\"magenta__2tkzq\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"inline\":\"inline__1yl8V\",\"block\":\"block__fPiiB\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"todo\":\"todo__2IWIS\"};","import Split from \"../Layout/Split\";\nimport {Fragment} from \"preact\";\n\nexport default function (props) {\n return (\n \n

\n {props.title}\n

\n \n {props.children}\n \n \n );\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"title\":\"title__3ZVpg\",\"contents\":\"contents__20_NI\"};","import {createContext} from \"preact\";\n\nexport default createContext(null);\n","import style from './Latex.less';\nimport {useContext} from \"preact/hooks\";\nimport LatexRenderColor from \"../../contexts/LatexRenderColor\";\nimport LatexDefaultInline from \"../../contexts/LatexDefaultInline\";\nimport LatexDefaultDisplay from \"../../contexts/LatexDefaultDisplay\";\n\nexport const LatexDisplay = Object.freeze({\n INLINE: style.inline,\n BLOCK: style.block,\n})\n\nexport default function(props) {\n // black, blue, brown, cyan, darkgray, gray, green, lightgray, lime, magenta, olive, orange, pink, purple, red, teal, violet, white, yellow\n let renderColor = useContext(LatexRenderColor);\n let defaultInline = useContext(LatexDefaultInline);\n let defaultDisplay = useContext(LatexDefaultDisplay);\n\n let inline;\n if(props.inline === undefined) {\n inline = defaultInline;\n }\n else {\n inline = props.inline;\n }\n\n let display;\n if(props.display === undefined) {\n if(defaultDisplay === null) {\n display = LatexDisplay.INLINE;\n }\n else {\n display = defaultDisplay;\n }\n }\n else {\n display = props.display;\n }\n\n if(inline) {\n let equation = `\\\\inline {\\\\color{${renderColor}} ${props.children} }`;\n return (\n {props.children}\n\n );\n }\n else {\n let equation = `{\\\\color{${renderColor}} ${props.children} }`;\n return (\n {props.children}\n\n );\n }\n}\n","import {Component} from 'preact'\nimport style from \"./Timer.less\"\n\n\nexport default class Timer extends Component {\n constructor() {\n super();\n this.state = {\n \"now\": Date.now()\n };\n this.timer = null;\n }\n\n componentDidMount() {\n this.timer = setInterval(() => {\n this.setState({\"now\": Date.now()})\n }, 1000)\n }\n\n componentWillUnmount() {\n if(this.timer !== null) {\n clearInterval(this.timer)\n }\n }\n\n render() {\n let dateTo = \"Unknown date\";\n let className = style.timer;\n\n let parts = {\n milliseconds: \"?\",\n seconds: \"?\",\n minutes: \"?\",\n hours: \"?\",\n days: \"?\",\n };\n\n if(this.props.to) {\n dateTo = new Date(this.props.to);\n let timeLeft = dateTo - this.state.now;\n\n if(timeLeft > 0) {\n parts = {\n milliseconds: timeLeft % 1000,\n seconds: Math.floor(timeLeft / 1000) % 60,\n minutes: Math.floor(timeLeft / 60000) % 60,\n hours: Math.floor(timeLeft / 3600000) % 24,\n days: Math.floor(timeLeft / 86400000),\n };\n }\n\n else {\n parts = {\n milliseconds: 0,\n seconds: 0,\n minutes: 0,\n hours: 0,\n days: 0,\n };\n\n className += \" \" + style.expired;\n }\n }\n else {\n className += \" \" + style.unknown;\n }\n\n return (\n
\n
\n {parts.days}\n
\n
\n giorni\n
\n
\n {parts.hours}\n
\n
\n ore\n
\n
\n {parts.minutes}\n
\n
\n minuti\n
\n
\n {parts.seconds}\n
\n
\n secondi\n
\n
\n )\n }\n}\n","import { options } from 'preact';\n\n/** @type {number} */\nlet currentIndex;\n\n/** @type {import('./internal').Component} */\nlet currentComponent;\n\n/** @type {number} */\nlet currentHook = 0;\n\n/** @type {Array} */\nlet afterPaintEffects = [];\n\nlet oldBeforeRender = options._render;\nlet oldAfterDiff = options.diffed;\nlet oldCommit = options._commit;\nlet oldBeforeUnmount = options.unmount;\n\nconst RAF_TIMEOUT = 100;\nlet prevRaf;\n\noptions._render = vnode => {\n\tif (oldBeforeRender) oldBeforeRender(vnode);\n\n\tcurrentComponent = vnode._component;\n\tcurrentIndex = 0;\n\n\tconst hooks = currentComponent.__hooks;\n\tif (hooks) {\n\t\thooks._pendingEffects.forEach(invokeCleanup);\n\t\thooks._pendingEffects.forEach(invokeEffect);\n\t\thooks._pendingEffects = [];\n\t}\n};\n\noptions.diffed = vnode => {\n\tif (oldAfterDiff) oldAfterDiff(vnode);\n\n\tconst c = vnode._component;\n\tif (c && c.__hooks && c.__hooks._pendingEffects.length) {\n\t\tafterPaint(afterPaintEffects.push(c));\n\t}\n};\n\noptions._commit = (vnode, commitQueue) => {\n\tcommitQueue.some(component => {\n\t\ttry {\n\t\t\tcomponent._renderCallbacks.forEach(invokeCleanup);\n\t\t\tcomponent._renderCallbacks = component._renderCallbacks.filter(cb =>\n\t\t\t\tcb._value ? invokeEffect(cb) : true\n\t\t\t);\n\t\t} catch (e) {\n\t\t\tcommitQueue.some(c => {\n\t\t\t\tif (c._renderCallbacks) c._renderCallbacks = [];\n\t\t\t});\n\t\t\tcommitQueue = [];\n\t\t\toptions._catchError(e, component._vnode);\n\t\t}\n\t});\n\n\tif (oldCommit) oldCommit(vnode, commitQueue);\n};\n\noptions.unmount = vnode => {\n\tif (oldBeforeUnmount) oldBeforeUnmount(vnode);\n\n\tconst c = vnode._component;\n\tif (c && c.__hooks) {\n\t\ttry {\n\t\t\tc.__hooks._list.forEach(invokeCleanup);\n\t\t} catch (e) {\n\t\t\toptions._catchError(e, c._vnode);\n\t\t}\n\t}\n};\n\n/**\n * Get a hook's state from the currentComponent\n * @param {number} index The index of the hook to get\n * @param {number} type The index of the hook to get\n * @returns {import('./internal').HookState}\n */\nfunction getHookState(index, type) {\n\tif (options._hook) {\n\t\toptions._hook(currentComponent, index, currentHook || type);\n\t}\n\tcurrentHook = 0;\n\n\t// Largely inspired by:\n\t// * https://github.com/michael-klein/funcy.js/blob/f6be73468e6ec46b0ff5aa3cc4c9baf72a29025a/src/hooks/core_hooks.mjs\n\t// * https://github.com/michael-klein/funcy.js/blob/650beaa58c43c33a74820a3c98b3c7079cf2e333/src/renderer.mjs\n\t// Other implementations to look at:\n\t// * https://codesandbox.io/s/mnox05qp8\n\tconst hooks =\n\t\tcurrentComponent.__hooks ||\n\t\t(currentComponent.__hooks = {\n\t\t\t_list: [],\n\t\t\t_pendingEffects: []\n\t\t});\n\n\tif (index >= hooks._list.length) {\n\t\thooks._list.push({});\n\t}\n\treturn hooks._list[index];\n}\n\n/**\n * @param {import('./index').StateUpdater} initialState\n */\nexport function useState(initialState) {\n\tcurrentHook = 1;\n\treturn useReducer(invokeOrReturn, initialState);\n}\n\n/**\n * @param {import('./index').Reducer} reducer\n * @param {import('./index').StateUpdater} initialState\n * @param {(initialState: any) => void} [init]\n * @returns {[ any, (state: any) => void ]}\n */\nexport function useReducer(reducer, initialState, init) {\n\t/** @type {import('./internal').ReducerHookState} */\n\tconst hookState = getHookState(currentIndex++, 2);\n\thookState._reducer = reducer;\n\tif (!hookState._component) {\n\t\thookState._component = currentComponent;\n\n\t\thookState._value = [\n\t\t\t!init ? invokeOrReturn(undefined, initialState) : init(initialState),\n\n\t\t\taction => {\n\t\t\t\tconst nextValue = hookState._reducer(hookState._value[0], action);\n\t\t\t\tif (hookState._value[0] !== nextValue) {\n\t\t\t\t\thookState._value[0] = nextValue;\n\t\t\t\t\thookState._component.setState({});\n\t\t\t\t}\n\t\t\t}\n\t\t];\n\t}\n\n\treturn hookState._value;\n}\n\n/**\n * @param {import('./internal').Effect} callback\n * @param {any[]} args\n */\nexport function useEffect(callback, args) {\n\t/** @type {import('./internal').EffectHookState} */\n\tconst state = getHookState(currentIndex++, 3);\n\tif (!options._skipEffects && argsChanged(state._args, args)) {\n\t\tstate._value = callback;\n\t\tstate._args = args;\n\n\t\tcurrentComponent.__hooks._pendingEffects.push(state);\n\t}\n}\n\n/**\n * @param {import('./internal').Effect} callback\n * @param {any[]} args\n */\nexport function useLayoutEffect(callback, args) {\n\t/** @type {import('./internal').EffectHookState} */\n\tconst state = getHookState(currentIndex++, 4);\n\tif (!options._skipEffects && argsChanged(state._args, args)) {\n\t\tstate._value = callback;\n\t\tstate._args = args;\n\n\t\tcurrentComponent._renderCallbacks.push(state);\n\t}\n}\n\nexport function useRef(initialValue) {\n\tcurrentHook = 5;\n\treturn useMemo(() => ({ current: initialValue }), []);\n}\n\n/**\n * @param {object} ref\n * @param {() => object} createHandle\n * @param {any[]} args\n */\nexport function useImperativeHandle(ref, createHandle, args) {\n\tcurrentHook = 6;\n\tuseLayoutEffect(\n\t\t() => {\n\t\t\tif (typeof ref == 'function') ref(createHandle());\n\t\t\telse if (ref) ref.current = createHandle();\n\t\t},\n\t\targs == null ? args : args.concat(ref)\n\t);\n}\n\n/**\n * @param {() => any} factory\n * @param {any[]} args\n */\nexport function useMemo(factory, args) {\n\t/** @type {import('./internal').MemoHookState} */\n\tconst state = getHookState(currentIndex++, 7);\n\tif (argsChanged(state._args, args)) {\n\t\tstate._args = args;\n\t\tstate._factory = factory;\n\t\treturn (state._value = factory());\n\t}\n\n\treturn state._value;\n}\n\n/**\n * @param {() => void} callback\n * @param {any[]} args\n */\nexport function useCallback(callback, args) {\n\tcurrentHook = 8;\n\treturn useMemo(() => callback, args);\n}\n\n/**\n * @param {import('./internal').PreactContext} context\n */\nexport function useContext(context) {\n\tconst provider = currentComponent.context[context._id];\n\t// We could skip this call here, but than we'd not call\n\t// `options._hook`. We need to do that in order to make\n\t// the devtools aware of this hook.\n\tconst state = getHookState(currentIndex++, 9);\n\t// The devtools needs access to the context object to\n\t// be able to pull of the default value when no provider\n\t// is present in the tree.\n\tstate._context = context;\n\tif (!provider) return context._defaultValue;\n\t// This is probably not safe to convert to \"!\"\n\tif (state._value == null) {\n\t\tstate._value = true;\n\t\tprovider.sub(currentComponent);\n\t}\n\treturn provider.props.value;\n}\n\n/**\n * Display a custom label for a custom hook for the devtools panel\n * @type {(value: T, cb?: (value: T) => string | number) => void}\n */\nexport function useDebugValue(value, formatter) {\n\tif (options.useDebugValue) {\n\t\toptions.useDebugValue(formatter ? formatter(value) : value);\n\t}\n}\n\nexport function useErrorBoundary(cb) {\n\tconst state = getHookState(currentIndex++, 10);\n\tconst errState = useState();\n\tstate._value = cb;\n\tif (!currentComponent.componentDidCatch) {\n\t\tcurrentComponent.componentDidCatch = err => {\n\t\t\tif (state._value) state._value(err);\n\t\t\terrState[1](err);\n\t\t};\n\t}\n\treturn [\n\t\terrState[0],\n\t\t() => {\n\t\t\terrState[1](undefined);\n\t\t}\n\t];\n}\n\n/**\n * After paint effects consumer.\n */\nfunction flushAfterPaintEffects() {\n\tafterPaintEffects.some(component => {\n\t\tif (component._parentDom) {\n\t\t\ttry {\n\t\t\t\tcomponent.__hooks._pendingEffects.forEach(invokeCleanup);\n\t\t\t\tcomponent.__hooks._pendingEffects.forEach(invokeEffect);\n\t\t\t\tcomponent.__hooks._pendingEffects = [];\n\t\t\t} catch (e) {\n\t\t\t\tcomponent.__hooks._pendingEffects = [];\n\t\t\t\toptions._catchError(e, component._vnode);\n\t\t\t\treturn true;\n\t\t\t}\n\t\t}\n\t});\n\tafterPaintEffects = [];\n}\n\n/**\n * Schedule a callback to be invoked after the browser has a chance to paint a new frame.\n * Do this by combining requestAnimationFrame (rAF) + setTimeout to invoke a callback after\n * the next browser frame.\n *\n * Also, schedule a timeout in parallel to the the rAF to ensure the callback is invoked\n * even if RAF doesn't fire (for example if the browser tab is not visible)\n *\n * @param {() => void} callback\n */\nfunction afterNextFrame(callback) {\n\tconst done = () => {\n\t\tclearTimeout(timeout);\n\t\tcancelAnimationFrame(raf);\n\t\tsetTimeout(callback);\n\t};\n\tconst timeout = setTimeout(done, RAF_TIMEOUT);\n\n\tlet raf;\n\tif (typeof window != 'undefined') {\n\t\traf = requestAnimationFrame(done);\n\t}\n}\n\n// Note: if someone used options.debounceRendering = requestAnimationFrame,\n// then effects will ALWAYS run on the NEXT frame instead of the current one, incurring a ~16ms delay.\n// Perhaps this is not such a big deal.\n/**\n * Schedule afterPaintEffects flush after the browser paints\n * @param {number} newQueueLength\n */\nfunction afterPaint(newQueueLength) {\n\tif (newQueueLength === 1 || prevRaf !== options.requestAnimationFrame) {\n\t\tprevRaf = options.requestAnimationFrame;\n\t\t(prevRaf || afterNextFrame)(flushAfterPaintEffects);\n\t}\n}\n\n/**\n * @param {import('./internal').EffectHookState} hook\n */\nfunction invokeCleanup(hook) {\n\tif (typeof hook._cleanup == 'function') hook._cleanup();\n}\n\n/**\n * Invoke a Hook's effect\n * @param {import('./internal').EffectHookState} hook\n */\nfunction invokeEffect(hook) {\n\thook._cleanup = hook._value();\n}\n\n/**\n * @param {any[]} oldArgs\n * @param {any[]} newArgs\n */\nfunction argsChanged(oldArgs, newArgs) {\n\treturn !oldArgs || newArgs.some((arg, index) => arg !== oldArgs[index]);\n}\n\nfunction invokeOrReturn(arg, f) {\n\treturn typeof f == 'function' ? f(arg) : f;\n}\n","import style from \"./Todo.less\";\n\nexport default function (props) {\n\tif(process.env.NODE_ENV === \"development\") {\n\t\treturn {props.children};\n\t}\n\telse {\n\t\treturn null;\n\t}\n}\n","import style from \"./Split.less\";\n\nexport default function (props) {\n let children;\n\n if(Array.isArray(props.children)) {\n children = props.children.map(element => {\n return (\n
\n {element}\n
\n );\n });\n }\n\n else {\n children = (\n
\n {props.children}\n
\n );\n }\n return (\n
\n
{children}
\n
\n );\n}\n","import style from \"./Example.less\";\nimport {Component} from \"preact\";\n\nexport default function(props) {\n return (\n
\n {props.children}\n
\n );\n}\n","import style from \"./Box.less\";\n\nexport const BoxColors = Object.freeze({\n RED: style.red,\n ORANGE: style.orange,\n YELLOW: style.yellow,\n LIME: style.lime,\n CYAN: style.cyan,\n BLUE: style.blue,\n MAGENTA: style.magenta,\n DEFAULT: style.default\n})\n\nexport default function (props) {\n let color = BoxColors.DEFAULT;\n if(props.color) {\n color = props.color;\n }\n\n return (\n
\n {props.children}\n
\n );\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"timer\":\"timer__3Z2pL\",\"days\":\"days__myhe2\",\"hours\":\"hours__3JUDn\",\"minutes\":\"minutes__24lD7\",\"seconds\":\"seconds__2vZ4f\",\"count\":\"count__chi9X\",\"text\":\"text__34ldC\",\"unknown\":\"unknown__3sT2P\",\"expired\":\"expired__zNiuP\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"splitparent\":\"splitparent__3-wBs\",\"splitchild\":\"splitchild__begkX\"};","import style from \"./Panel.less\";\nimport Box from \"./Box\";\n\nexport default function(props) {\n\treturn (\n\t\t\n\t\t\t

\n\t\t\t\t{props.title}\n\t\t\t

\n\t\t\t
\n\t\t\t\t{props.children}\n\t\t\t
\n\t\t\n\t);\n}\n","import {createContext} from \"preact\";\n\nexport default createContext(true);\n","import {Component} from 'preact'\nimport Section from \"../components/Elements/Section\";\nimport Latex from \"../components/Rendering/Latex\";\nimport Panel from \"../components/Elements/Panel\";\nimport Example from \"../components/Elements/Example\";\nimport Todo from \"../components/Elements/Todo\";\nimport Timer from \"../components/Elements/Timer\";\nimport LatexDefaultInline from \"../contexts/LatexDefaultInline\";\n\nconst r = String.raw;\n\nexport default function (props) {\n return (\n \n
\n

Calcolo Numerico

\n
\n \n \n \n \n

\n Se sei uno studente dell'Unimore, puoi accedere all'archivio del corso su Google Drive..\n

\n \n
\n
\n \n

\n E' composto da:\n

\n
    \n
  • 2 domande sugli argomenti teorici
    • \n
  • 1 domanda di implementazione algoritmo in MATLAB
    • \n
\n \n \n
    \n
    2. \n
    3. \n
    4. \n
    5. \n
    6. \n
    7. \n
\n \n
\n
\n \n

\n Algoritmi che hanno:\n

\n
    \n
  • numeri reali in input e output
    • \n
  • successioni delle quattro operazioni aritmetiche fondamentali come passi
    • \n
\n \n
\n
\n \n

\n Con i numeri floating point può capitare che un certo numero {r`\\alpha`} non sia rappresentato correttamente.\n

\n

\n In tal caso, il numero si indica con {r`\\alpha^*`}.\n

\n \n \n

\n È la differenza tra il numero desiderato e il numero rappresentato:\n

\n

\n {r`E_a = \\left | \\alpha - \\alpha^* \\right |`}\n

\n \n Vale sempre 0, tranne in caso di underflow o overflow.\n \n \n \n

\n Indica quanto il numero rappresentato differisce dal numero desiderato:\n

\n

\n {r`\\forall \\alpha \\neq 0, E_r = \\frac{E_a}{\\left | \\alpha \\right |}`}\n

\n \n
\n
\n \n

\n L'errore relativo di un numero reale rappresentato in virgola mobile è minore o uguale alla precisione di macchina:\n

\n

\n {r`E_r \\leq k \\cdot \\beta^{1-t}`}\n

\n
    \n
  • \n \\beta è uguale alla base utilizzata (solitamente 2).\n
    • \n
  • \n t è uguale al numero di cifre della mantissa.\n
    • \n
  • \n k è uguale a 1 se il numero viene rappresentato per troncamento oppure a {r`\\frac{1}{2}`} se viene rappresentato per arrotondamento.\n
    • \n
\n \n
\n
\n \n

\n L'insieme F è il sottoinsieme dei numeri reali rappresentabili in floating point dalla macchina che stiamo usando.\n

\n

\n Operazioni tra elementi di F producono risultati in {r`\\mathbb{R}`}, che però decaderanno nuovamente a elementi di F, perdendo informazioni.\n

\n

\n Il teorema della precisione di macchina si applica quindi anche ai risultati delle operazioni.\n

\n \n \n
    \n
  • Hanno più di un elemento neutro.
    • \n
  • Un numero ha più opposti.
    • \n
  • Non sono associative.
    • \n
  • Non sono distributive.
    • \n
  • Non vale la legge di annullamento del prodotto.
    • \n
\n \n \n

\n Indica che un valore è soggetto alla precisione di macchina:\n

\n

\n {r`fl(x) = (x)(1 + \\epsilon_x)`}\n

\n \n
\n
\n \n

\n Errore dipendente solo dai dati.\n

\n

\n TODO: qual è la formula?\n

\n

\n È l'errore che si presenterebbe se {r`\\epsilon_1 = \\epsilon_2 = \\dots = 0`}.\n

\n \n \n

\n Errore dipendente solo dalle operazioni effettuate.\n

\n

\n TODO: qual è la formula?\n

\n

\n È l'errore che si presenterebbe se {r`\\epsilon_x = \\epsilon_y = \\dots = 0`}.\n

\n \n
\n
\n \n

\n Un problema poco sensibile all'errore inerente.\n

\n \n {r`y = \\frac{1}{x}`} è mal condizionato intorno allo 0 e ben condizionato lontano dallo 0.\n \n \n \n

\n Un algoritmo poco sensibile all'errore algoritmico.\n

\n \n

\n Cerchiamo un algoritmo che risolva {r`2x = 4`}.\n

\n

\n Calcolare prima {r`t = fl \\left( \\frac{1}{4} \\right)`} e poi {r`x^* = fl ( 2 \\cdot t )`} porta a una perdita di precisione.\n

\n

\n Calcolare direttamente {r`x^* = fl \\left( \\frac{2}{4} \\right)`} non ha alcuna perdita di precisione e rende l'algoritmo più stabile del precedente.\n

\n \n \n
\n
\n \n

\n È il coefficiente di proporzionalità tra i dati e l'errore inerente.\n

\n

\n Essendo sempre maggiore di uno, si può dire che sia un coefficiente di amplificazione.\n

\n

\n Minore è l'indice di condizionamento, meglio condizionato è un problema.\n

\n \n \n

\n È il coefficiente di proporzionalità tra i dati e l'errore algoritmico.\n

\n

\n Essendo sempre maggiore di uno, si può dire che sia un coefficiente di amplificazione.\n

\n \n
\n
\n \n

\n Matrice con determinante 0.\n

\n

\n Le matrici singolari non sono invertibili.\n

\n \n
\n
\n \n

\n Funzione che associa un valore positivo a ogni vettore diverso da 0, e 0 al vettore zero.\n

\n \n Esempi su Wikipedia\n \n \n \n

\n Massimo dei valori assoluti di tutti gli elementi del vettore.\n

\n

\n {r`\\Vert x \\Vert_\\infty = max_{i = 1..n} | x_i |`}\n

\n \n \n

\n Somma dei valori assoluti di tutti gli elementi del vettore.\n

\n

\n {r`\\Vert x \\Vert_1 = \\sum_{i = 1}^n | x_i |`}\n

\n \n \n

\n Radice quadrata della somma dei quadrati di tutti gli elementi del vettore.\n

\n

\n {r`\\Vert x \\Vert_2 = \\sqrt{\\sum_{i = 1}^n x_i^2}`}\n

\n \n
\n
\n \n

\n Funzione che associa un valore positivo a ogni matrice diversa da 0, e 0 alla matrice zero.\n

\n

\n Si ricavano dalle norme vettoriali:\n

\n

\n {r`\\Vert A \\Vert = sup_{x \\in \\mathbb{R}, x \\neq 0} \\frac{\\Vert A \\cdot x \\Vert}{\\Vert x \\Vert}`}\n

\n \n sup è l'estremo superiore di un insieme. E' molto simile al massimo: ricordi le prime lezioni di Analisi?\n \n \n \n

\n Massimo delle somme dei valori assoluti di tutti gli elementi di ogni riga di una matrice.\n

\n

\n {r`\\Vert A \\Vert_\\infty = max_{i = 1..n} \\sum_{j = 1}^n | a_{ij} |`}\n

\n \n \n

\n Massimo delle somme dei valori assoluti di tutti gli elementi di ogni colonna di una matrice.\n

\n

\n {r`\\Vert A \\Vert_1 = max_{j = 1..n} \\sum_{i = 1}^n | a_{ij} |`}\n

\n \n \n

\n Radice quadrata del rango del prodotto tra una matrice e la sua trasposta.\n

\n

\n {r`\\Vert A \\Vert_2 = \\sqrt{\\rho ( A^T \\times A ) }`}\n

\n \n
\n
\n \n

\n Le norme sono usate per calcolare l'errore relativo tra due vettori o matrici:\n

\n

\n {r`\\frac{\\Vert x - y \\Vert}{\\Vert x \\Vert}`}\n

\n \n
\n
\n \n

\n La fattorizzazione è il processo che permette di risolvere sistemi di equazioni lineari rappresentati in forma di matrice.\n

\n

\n Esistono molteplici algoritmi in grado di realizzarla: mentre tutti portano alla stessa soluzione, possono avere velocità e indici algoritmici diversi.\n

\n

\n Il sistema lineare da risolvere viene diviso in due parti: la matrice dei coefficienti e il vettore termine noto.\n

\n \n \n

\n\n

\n \n
\n
\n \n )\n}\n"],"sourceRoot":""} \ No newline at end of file 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extracted by mini-css-extract-plugin\nmodule.exports = {\"example\":\"example__9acWs\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"box\":\"box__3cKyY\",\"default\":\"default__v-emJ\",\"red\":\"red__339Cz\",\"orange\":\"orange__24_8v\",\"yellow\":\"yellow__1Jo9W\",\"lime\":\"lime__34yV5\",\"cyan\":\"cyan__3RqLr\",\"blue\":\"blue__13Wnj\",\"magenta\":\"magenta__2tkzq\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"inline\":\"inline__1yl8V\",\"block\":\"block__fPiiB\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"todo\":\"todo__2IWIS\"};","import Split from \"../Layout/Split\";\nimport {Fragment} from \"preact\";\n\nexport default function (props) {\n return (\n \n

\n {props.title}\n

\n \n {props.children}\n \n \n );\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"title\":\"title__3ZVpg\",\"contents\":\"contents__20_NI\"};","import {createContext} from \"preact\";\n\nexport default createContext(null);\n","import style from './Latex.less';\nimport {useContext} from \"preact/hooks\";\nimport LatexRenderColor from \"../../contexts/LatexRenderColor\";\nimport LatexDefaultInline from \"../../contexts/LatexDefaultInline\";\nimport LatexDefaultDisplay from \"../../contexts/LatexDefaultDisplay\";\n\nexport const LatexDisplay = Object.freeze({\n INLINE: style.inline,\n BLOCK: style.block,\n})\n\nexport default function(props) {\n // black, blue, brown, cyan, darkgray, gray, green, lightgray, lime, magenta, olive, orange, pink, purple, red, teal, violet, white, yellow\n let renderColor = useContext(LatexRenderColor);\n let defaultInline = useContext(LatexDefaultInline);\n let defaultDisplay = useContext(LatexDefaultDisplay);\n\n let inline;\n if(props.inline === undefined) {\n inline = defaultInline;\n }\n else {\n inline = props.inline;\n }\n\n let display;\n if(props.display === undefined) {\n if(defaultDisplay === null) {\n display = LatexDisplay.INLINE;\n }\n else {\n display = defaultDisplay;\n }\n }\n else {\n display = props.display;\n }\n\n if(inline) {\n let equation = `\\\\inline {\\\\color{${renderColor}} ${props.children} }`;\n return (\n {props.children}\n\n );\n }\n else {\n let equation = `{\\\\color{${renderColor}} ${props.children} }`;\n return (\n {props.children}\n\n );\n }\n}\n","import {Component} from 'preact'\nimport style from \"./Timer.less\"\n\n\nexport default class Timer extends Component {\n constructor() {\n super();\n this.state = {\n \"now\": Date.now()\n };\n this.timer = null;\n }\n\n componentDidMount() {\n this.timer = setInterval(() => {\n this.setState({\"now\": Date.now()})\n }, 1000)\n }\n\n componentWillUnmount() {\n if(this.timer !== null) {\n clearInterval(this.timer)\n }\n }\n\n render() {\n let dateTo = \"Unknown date\";\n let className = style.timer;\n\n let parts = {\n milliseconds: \"?\",\n seconds: \"?\",\n minutes: \"?\",\n hours: \"?\",\n days: \"?\",\n };\n\n if(this.props.to) {\n dateTo = new Date(this.props.to);\n let timeLeft = dateTo - this.state.now;\n\n if(timeLeft > 0) {\n parts = {\n milliseconds: timeLeft % 1000,\n seconds: Math.floor(timeLeft / 1000) % 60,\n minutes: Math.floor(timeLeft / 60000) % 60,\n hours: Math.floor(timeLeft / 3600000) % 24,\n days: Math.floor(timeLeft / 86400000),\n };\n }\n\n else {\n parts = {\n milliseconds: 0,\n seconds: 0,\n minutes: 0,\n hours: 0,\n days: 0,\n };\n\n className += \" \" + style.expired;\n }\n }\n else {\n className += \" \" + style.unknown;\n }\n\n return (\n
\n
\n {parts.days}\n
\n
\n giorni\n
\n
\n {parts.hours}\n
\n
\n ore\n
\n
\n {parts.minutes}\n
\n
\n minuti\n
\n
\n {parts.seconds}\n
\n
\n secondi\n
\n
\n )\n }\n}\n","import { options } from 'preact';\n\n/** @type {number} */\nlet currentIndex;\n\n/** @type {import('./internal').Component} */\nlet currentComponent;\n\n/** @type {number} */\nlet currentHook = 0;\n\n/** @type {Array} */\nlet afterPaintEffects = [];\n\nlet oldBeforeRender = options._render;\nlet oldAfterDiff = options.diffed;\nlet oldCommit = options._commit;\nlet oldBeforeUnmount = options.unmount;\n\nconst RAF_TIMEOUT = 100;\nlet prevRaf;\n\noptions._render = vnode => {\n\tif (oldBeforeRender) oldBeforeRender(vnode);\n\n\tcurrentComponent = vnode._component;\n\tcurrentIndex = 0;\n\n\tconst hooks = currentComponent.__hooks;\n\tif (hooks) {\n\t\thooks._pendingEffects.forEach(invokeCleanup);\n\t\thooks._pendingEffects.forEach(invokeEffect);\n\t\thooks._pendingEffects = [];\n\t}\n};\n\noptions.diffed = vnode => {\n\tif (oldAfterDiff) oldAfterDiff(vnode);\n\n\tconst c = vnode._component;\n\tif (c && c.__hooks && c.__hooks._pendingEffects.length) {\n\t\tafterPaint(afterPaintEffects.push(c));\n\t}\n};\n\noptions._commit = (vnode, commitQueue) => {\n\tcommitQueue.some(component => {\n\t\ttry {\n\t\t\tcomponent._renderCallbacks.forEach(invokeCleanup);\n\t\t\tcomponent._renderCallbacks = component._renderCallbacks.filter(cb =>\n\t\t\t\tcb._value ? invokeEffect(cb) : true\n\t\t\t);\n\t\t} catch (e) {\n\t\t\tcommitQueue.some(c => {\n\t\t\t\tif (c._renderCallbacks) c._renderCallbacks = [];\n\t\t\t});\n\t\t\tcommitQueue = [];\n\t\t\toptions._catchError(e, component._vnode);\n\t\t}\n\t});\n\n\tif (oldCommit) oldCommit(vnode, commitQueue);\n};\n\noptions.unmount = vnode => {\n\tif (oldBeforeUnmount) oldBeforeUnmount(vnode);\n\n\tconst c = vnode._component;\n\tif (c && c.__hooks) {\n\t\ttry {\n\t\t\tc.__hooks._list.forEach(invokeCleanup);\n\t\t} catch (e) {\n\t\t\toptions._catchError(e, c._vnode);\n\t\t}\n\t}\n};\n\n/**\n * Get a hook's state from the currentComponent\n * @param {number} index The index of the hook to get\n * @param {number} type The index of the hook to get\n * @returns {import('./internal').HookState}\n */\nfunction getHookState(index, type) {\n\tif (options._hook) {\n\t\toptions._hook(currentComponent, index, currentHook || type);\n\t}\n\tcurrentHook = 0;\n\n\t// Largely inspired by:\n\t// * https://github.com/michael-klein/funcy.js/blob/f6be73468e6ec46b0ff5aa3cc4c9baf72a29025a/src/hooks/core_hooks.mjs\n\t// * https://github.com/michael-klein/funcy.js/blob/650beaa58c43c33a74820a3c98b3c7079cf2e333/src/renderer.mjs\n\t// Other implementations to look at:\n\t// * https://codesandbox.io/s/mnox05qp8\n\tconst hooks =\n\t\tcurrentComponent.__hooks ||\n\t\t(currentComponent.__hooks = {\n\t\t\t_list: [],\n\t\t\t_pendingEffects: []\n\t\t});\n\n\tif (index >= hooks._list.length) {\n\t\thooks._list.push({});\n\t}\n\treturn hooks._list[index];\n}\n\n/**\n * @param {import('./index').StateUpdater} initialState\n */\nexport function useState(initialState) {\n\tcurrentHook = 1;\n\treturn useReducer(invokeOrReturn, initialState);\n}\n\n/**\n * @param {import('./index').Reducer} reducer\n * @param {import('./index').StateUpdater} initialState\n * @param {(initialState: any) => void} [init]\n * @returns {[ any, (state: any) => void ]}\n */\nexport function useReducer(reducer, initialState, init) {\n\t/** @type {import('./internal').ReducerHookState} */\n\tconst hookState = getHookState(currentIndex++, 2);\n\thookState._reducer = reducer;\n\tif (!hookState._component) {\n\t\thookState._component = currentComponent;\n\n\t\thookState._value = [\n\t\t\t!init ? invokeOrReturn(undefined, initialState) : init(initialState),\n\n\t\t\taction => {\n\t\t\t\tconst nextValue = hookState._reducer(hookState._value[0], action);\n\t\t\t\tif (hookState._value[0] !== nextValue) {\n\t\t\t\t\thookState._value[0] = nextValue;\n\t\t\t\t\thookState._component.setState({});\n\t\t\t\t}\n\t\t\t}\n\t\t];\n\t}\n\n\treturn hookState._value;\n}\n\n/**\n * @param {import('./internal').Effect} callback\n * @param {any[]} args\n */\nexport function useEffect(callback, args) {\n\t/** @type {import('./internal').EffectHookState} */\n\tconst state = getHookState(currentIndex++, 3);\n\tif (!options._skipEffects && argsChanged(state._args, args)) {\n\t\tstate._value = callback;\n\t\tstate._args = args;\n\n\t\tcurrentComponent.__hooks._pendingEffects.push(state);\n\t}\n}\n\n/**\n * @param {import('./internal').Effect} callback\n * @param {any[]} args\n */\nexport function useLayoutEffect(callback, args) {\n\t/** @type {import('./internal').EffectHookState} */\n\tconst state = getHookState(currentIndex++, 4);\n\tif (!options._skipEffects && argsChanged(state._args, args)) {\n\t\tstate._value = callback;\n\t\tstate._args = args;\n\n\t\tcurrentComponent._renderCallbacks.push(state);\n\t}\n}\n\nexport function useRef(initialValue) {\n\tcurrentHook = 5;\n\treturn useMemo(() => ({ current: initialValue }), []);\n}\n\n/**\n * @param {object} ref\n * @param {() => object} createHandle\n * @param {any[]} args\n */\nexport function useImperativeHandle(ref, createHandle, args) {\n\tcurrentHook = 6;\n\tuseLayoutEffect(\n\t\t() => {\n\t\t\tif (typeof ref == 'function') ref(createHandle());\n\t\t\telse if (ref) ref.current = createHandle();\n\t\t},\n\t\targs == null ? args : args.concat(ref)\n\t);\n}\n\n/**\n * @param {() => any} factory\n * @param {any[]} args\n */\nexport function useMemo(factory, args) {\n\t/** @type {import('./internal').MemoHookState} */\n\tconst state = getHookState(currentIndex++, 7);\n\tif (argsChanged(state._args, args)) {\n\t\tstate._args = args;\n\t\tstate._factory = factory;\n\t\treturn (state._value = factory());\n\t}\n\n\treturn state._value;\n}\n\n/**\n * @param {() => void} callback\n * @param {any[]} args\n */\nexport function useCallback(callback, args) {\n\tcurrentHook = 8;\n\treturn useMemo(() => callback, args);\n}\n\n/**\n * @param {import('./internal').PreactContext} context\n */\nexport function useContext(context) {\n\tconst provider = currentComponent.context[context._id];\n\t// We could skip this call here, but than we'd not call\n\t// `options._hook`. We need to do that in order to make\n\t// the devtools aware of this hook.\n\tconst state = getHookState(currentIndex++, 9);\n\t// The devtools needs access to the context object to\n\t// be able to pull of the default value when no provider\n\t// is present in the tree.\n\tstate._context = context;\n\tif (!provider) return context._defaultValue;\n\t// This is probably not safe to convert to \"!\"\n\tif (state._value == null) {\n\t\tstate._value = true;\n\t\tprovider.sub(currentComponent);\n\t}\n\treturn provider.props.value;\n}\n\n/**\n * Display a custom label for a custom hook for the devtools panel\n * @type {(value: T, cb?: (value: T) => string | number) => void}\n */\nexport function useDebugValue(value, formatter) {\n\tif (options.useDebugValue) {\n\t\toptions.useDebugValue(formatter ? formatter(value) : value);\n\t}\n}\n\nexport function useErrorBoundary(cb) {\n\tconst state = getHookState(currentIndex++, 10);\n\tconst errState = useState();\n\tstate._value = cb;\n\tif (!currentComponent.componentDidCatch) {\n\t\tcurrentComponent.componentDidCatch = err => {\n\t\t\tif (state._value) state._value(err);\n\t\t\terrState[1](err);\n\t\t};\n\t}\n\treturn [\n\t\terrState[0],\n\t\t() => {\n\t\t\terrState[1](undefined);\n\t\t}\n\t];\n}\n\n/**\n * After paint effects consumer.\n */\nfunction flushAfterPaintEffects() {\n\tafterPaintEffects.some(component => {\n\t\tif (component._parentDom) {\n\t\t\ttry {\n\t\t\t\tcomponent.__hooks._pendingEffects.forEach(invokeCleanup);\n\t\t\t\tcomponent.__hooks._pendingEffects.forEach(invokeEffect);\n\t\t\t\tcomponent.__hooks._pendingEffects = [];\n\t\t\t} catch (e) {\n\t\t\t\tcomponent.__hooks._pendingEffects = [];\n\t\t\t\toptions._catchError(e, component._vnode);\n\t\t\t\treturn true;\n\t\t\t}\n\t\t}\n\t});\n\tafterPaintEffects = [];\n}\n\n/**\n * Schedule a callback to be invoked after the browser has a chance to paint a new frame.\n * Do this by combining requestAnimationFrame (rAF) + setTimeout to invoke a callback after\n * the next browser frame.\n *\n * Also, schedule a timeout in parallel to the the rAF to ensure the callback is invoked\n * even if RAF doesn't fire (for example if the browser tab is not visible)\n *\n * @param {() => void} callback\n */\nfunction afterNextFrame(callback) {\n\tconst done = () => {\n\t\tclearTimeout(timeout);\n\t\tcancelAnimationFrame(raf);\n\t\tsetTimeout(callback);\n\t};\n\tconst timeout = setTimeout(done, RAF_TIMEOUT);\n\n\tlet raf;\n\tif (typeof window != 'undefined') {\n\t\traf = requestAnimationFrame(done);\n\t}\n}\n\n// Note: if someone used options.debounceRendering = requestAnimationFrame,\n// then effects will ALWAYS run on the NEXT frame instead of the current one, incurring a ~16ms delay.\n// Perhaps this is not such a big deal.\n/**\n * Schedule afterPaintEffects flush after the browser paints\n * @param {number} newQueueLength\n */\nfunction afterPaint(newQueueLength) {\n\tif (newQueueLength === 1 || prevRaf !== options.requestAnimationFrame) {\n\t\tprevRaf = options.requestAnimationFrame;\n\t\t(prevRaf || afterNextFrame)(flushAfterPaintEffects);\n\t}\n}\n\n/**\n * @param {import('./internal').EffectHookState} hook\n */\nfunction invokeCleanup(hook) {\n\tif (typeof hook._cleanup == 'function') hook._cleanup();\n}\n\n/**\n * Invoke a Hook's effect\n * @param {import('./internal').EffectHookState} hook\n */\nfunction invokeEffect(hook) {\n\thook._cleanup = hook._value();\n}\n\n/**\n * @param {any[]} oldArgs\n * @param {any[]} newArgs\n */\nfunction argsChanged(oldArgs, newArgs) {\n\treturn !oldArgs || newArgs.some((arg, index) => arg !== oldArgs[index]);\n}\n\nfunction invokeOrReturn(arg, f) {\n\treturn typeof f == 'function' ? f(arg) : f;\n}\n","import style from \"./Todo.less\";\n\nexport default function (props) {\n\tif(process.env.NODE_ENV === \"development\") {\n\t\treturn {props.children};\n\t}\n\telse {\n\t\treturn null;\n\t}\n}\n","import style from \"./Split.less\";\n\nexport default function (props) {\n let children;\n\n if(Array.isArray(props.children)) {\n children = props.children.map(element => {\n return (\n
\n {element}\n
\n );\n });\n }\n\n else {\n children = (\n
\n {props.children}\n
\n );\n }\n return (\n
\n
{children}
\n
\n );\n}\n","import style from \"./Example.less\";\nimport {Component} from \"preact\";\n\nexport default function(props) {\n return (\n
\n {props.children}\n
\n );\n}\n","import style from \"./Box.less\";\n\nexport const BoxColors = Object.freeze({\n RED: style.red,\n ORANGE: style.orange,\n YELLOW: style.yellow,\n LIME: style.lime,\n CYAN: style.cyan,\n BLUE: style.blue,\n MAGENTA: style.magenta,\n DEFAULT: style.default\n})\n\nexport default function (props) {\n let color = BoxColors.DEFAULT;\n if(props.color) {\n color = props.color;\n }\n\n return (\n
\n {props.children}\n
\n );\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"timer\":\"timer__3Z2pL\",\"days\":\"days__myhe2\",\"hours\":\"hours__3JUDn\",\"minutes\":\"minutes__24lD7\",\"seconds\":\"seconds__2vZ4f\",\"count\":\"count__chi9X\",\"text\":\"text__34ldC\",\"unknown\":\"unknown__3sT2P\",\"expired\":\"expired__zNiuP\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"splitparent\":\"splitparent__3-wBs\",\"splitchild\":\"splitchild__begkX\"};","import style from \"./Panel.less\";\nimport Box from \"./Box\";\n\nexport default function(props) {\n\treturn (\n\t\t\n\t\t\t

\n\t\t\t\t{props.title}\n\t\t\t

\n\t\t\t
\n\t\t\t\t{props.children}\n\t\t\t
\n\t\t\n\t);\n}\n","import {createContext} from \"preact\";\n\nexport default createContext(true);\n","import {Component} from 'preact'\nimport Section from \"../components/Elements/Section\";\nimport Latex from \"../components/Rendering/Latex\";\nimport Panel from \"../components/Elements/Panel\";\nimport Example from \"../components/Elements/Example\";\nimport Todo from \"../components/Elements/Todo\";\nimport Timer from \"../components/Elements/Timer\";\nimport LatexDefaultInline from \"../contexts/LatexDefaultInline\";\n\nconst r = String.raw;\n\nexport default function (props) {\n return (\n \n
\n

Calcolo Numerico

\n
\n \n \n \n \n

\n Se sei uno studente dell'Unimore, puoi accedere all'archivio del corso su Google Drive..\n

\n \n
\n
\n \n

\n E' composto da:\n

\n
    \n
  • 2 domande sugli argomenti teorici
    • \n
  • 1 domanda di implementazione algoritmo in MATLAB
    • \n
\n \n \n
    \n
    2. \n
    3. \n
    4. \n
    5. \n
    6. \n
    7. \n
\n \n
\n
\n \n

\n Algoritmi che hanno:\n

\n
    \n
  • numeri reali in input e output
    • \n
  • successioni delle quattro operazioni aritmetiche fondamentali come passi
    • \n
\n \n
\n
\n \n

\n Con i numeri floating point può capitare che un certo numero {r`\\alpha`} non sia rappresentato correttamente.\n

\n

\n In tal caso, il numero si indica con {r`\\alpha^*`}.\n

\n \n \n

\n È la differenza tra il numero desiderato e il numero rappresentato:\n

\n

\n {r`E_a = \\left | \\alpha - \\alpha^* \\right |`}\n

\n \n Vale sempre 0, tranne in caso di underflow o overflow.\n \n \n \n

\n Indica quanto il numero rappresentato differisce dal numero desiderato:\n

\n

\n {r`\\forall \\alpha \\neq 0, E_r = \\frac{E_a}{\\left | \\alpha \\right |}`}\n

\n \n
\n
\n \n

\n L'errore relativo di un numero reale rappresentato in virgola mobile è minore o uguale alla precisione di macchina:\n

\n

\n {r`E_r \\leq k \\cdot \\beta^{1-t}`}\n

\n
    \n
  • \n \\beta è uguale alla base utilizzata (solitamente 2).\n
    • \n
  • \n t è uguale al numero di cifre della mantissa.\n
    • \n
  • \n k è uguale a 1 se il numero viene rappresentato per troncamento oppure a {r`\\frac{1}{2}`} se viene rappresentato per arrotondamento.\n
    • \n
\n \n
\n
\n \n

\n L'insieme F è il sottoinsieme dei numeri reali rappresentabili in floating point dalla macchina che stiamo usando.\n

\n

\n Operazioni tra elementi di F producono risultati in {r`\\mathbb{R}`}, che però decaderanno nuovamente a elementi di F, perdendo informazioni.\n

\n

\n Il teorema della precisione di macchina si applica quindi anche ai risultati delle operazioni.\n

\n \n \n
    \n
  • Hanno più di un elemento neutro.
    • \n
  • Un numero ha più opposti.
    • \n
  • Non sono associative.
    • \n
  • Non sono distributive.
    • \n
  • Non vale la legge di annullamento del prodotto.
    • \n
\n \n \n

\n Indica che un valore è soggetto alla precisione di macchina:\n

\n

\n {r`fl(x) = (x)(1 + \\epsilon_x)`}\n

\n \n
\n
\n \n

\n Errore dipendente solo dai dati.\n

\n

\n TODO: qual è la formula?\n

\n

\n È l'errore che si presenterebbe se {r`\\epsilon_1 = \\epsilon_2 = \\dots = 0`}.\n

\n \n \n

\n Errore dipendente solo dalle operazioni effettuate.\n

\n

\n TODO: qual è la formula?\n

\n

\n È l'errore che si presenterebbe se {r`\\epsilon_x = \\epsilon_y = \\dots = 0`}.\n

\n \n
\n
\n \n

\n Un problema poco sensibile all'errore inerente.\n

\n \n {r`y = \\frac{1}{x}`} è mal condizionato intorno allo 0 e ben condizionato lontano dallo 0.\n \n \n \n

\n Un algoritmo poco sensibile all'errore algoritmico.\n

\n \n

\n Cerchiamo un algoritmo che risolva {r`2x = 4`}.\n

\n

\n Calcolare prima {r`t = fl \\left( \\frac{1}{4} \\right)`} e poi {r`x^* = fl ( 2 \\cdot t )`} porta a una perdita di precisione.\n

\n

\n Calcolare direttamente {r`x^* = fl \\left( \\frac{2}{4} \\right)`} non ha alcuna perdita di precisione e rende l'algoritmo più stabile del precedente.\n

\n \n \n
\n
\n \n

\n È il coefficiente di proporzionalità tra i dati e l'errore inerente.\n

\n

\n Essendo sempre maggiore di uno, si può dire che sia un coefficiente di amplificazione.\n

\n

\n Minore è l'indice di condizionamento, meglio condizionato è un problema.\n

\n \n \n

\n È il coefficiente di proporzionalità tra i dati e l'errore algoritmico.\n

\n

\n Essendo sempre maggiore di uno, si può dire che sia un coefficiente di amplificazione.\n

\n \n
\n
\n \n

\n Matrice con determinante 0.\n

\n

\n Le matrici singolari non sono invertibili.\n

\n \n
\n
\n \n

\n Funzione che associa un valore positivo a ogni vettore diverso da 0, e 0 al vettore zero.\n

\n \n Esempi su Wikipedia\n \n \n \n

\n Massimo dei valori assoluti di tutti gli elementi del vettore.\n

\n

\n {r`\\Vert x \\Vert_\\infty = max_{i = 1..n} | x_i |`}\n

\n \n \n

\n Somma dei valori assoluti di tutti gli elementi del vettore.\n

\n

\n {r`\\Vert x \\Vert_1 = \\sum_{i = 1}^n | x_i |`}\n

\n \n \n

\n Radice quadrata della somma dei quadrati di tutti gli elementi del vettore.\n

\n

\n {r`\\Vert x \\Vert_2 = \\sqrt{\\sum_{i = 1}^n x_i^2}`}\n

\n \n
\n
\n \n

\n Funzione che associa un valore positivo a ogni matrice diversa da 0, e 0 alla matrice zero.\n

\n

\n Si ricavano dalle norme vettoriali:\n

\n

\n {r`\\Vert A \\Vert = sup_{x \\in \\mathbb{R}, x \\neq 0} \\frac{\\Vert A \\cdot x \\Vert}{\\Vert x \\Vert}`}\n

\n \n sup è l'estremo superiore di un insieme. E' molto simile al massimo: ricordi le prime lezioni di Analisi?\n \n \n \n

\n Massimo delle somme dei valori assoluti di tutti gli elementi di ogni riga di una matrice.\n

\n

\n {r`\\Vert A \\Vert_\\infty = max_{i = 1..n} \\sum_{j = 1}^n | a_{ij} |`}\n

\n \n \n

\n Massimo delle somme dei valori assoluti di tutti gli elementi di ogni colonna di una matrice.\n

\n

\n {r`\\Vert A \\Vert_1 = max_{j = 1..n} \\sum_{i = 1}^n | a_{ij} |`}\n

\n \n \n

\n Radice quadrata del rango del prodotto tra una matrice e la sua trasposta.\n

\n

\n {r`\\Vert A \\Vert_2 = \\sqrt{\\rho ( A^T \\times A ) }`}\n

\n \n
\n
\n \n

\n Le norme sono usate per calcolare l'errore relativo tra due vettori o matrici:\n

\n

\n {r`\\frac{\\Vert x - y \\Vert}{\\Vert x \\Vert}`}\n

\n \n
\n
\n \n

\n La fattorizzazione è il processo che permette di risolvere sistemi di equazioni lineari rappresentati in forma di matrice.\n

\n

\n Esistono molteplici algoritmi in grado di realizzarla: mentre tutti portano alla stessa soluzione, possono avere velocità e indici algoritmici diversi.\n

\n

\n Il sistema lineare da risolvere viene diviso in due parti: la matrice dei coefficienti e il vettore termine noto.\n

\n \n \n

\n\n

\n \n
\n
\n \n )\n}\n"],"sourceRoot":""} \ No newline at end of file diff --git a/docs/route-Fisica.chunk.ae8e3.esm.js b/docs/route-Fisica.chunk.52a73.esm.js similarity index 99% rename from docs/route-Fisica.chunk.ae8e3.esm.js rename to docs/route-Fisica.chunk.52a73.esm.js index 1a69b82..5197020 100644 --- a/docs/route-Fisica.chunk.ae8e3.esm.js +++ b/docs/route-Fisica.chunk.52a73.esm.js @@ -1,2 +1,2 @@ -(window.webpackJsonp=window.webpackJsonp||[]).push([[8],{"2QOB":function(e,l,a){"use strict";a.r(l),function(e){a("hosL");var n=a("Q7TX"),i=a("imVn"),t=a("OPqz"),o=a("CfuJ"),r=a("4v1N"),u=a("RMzO"),c=a("wQ73"),s=a("PGF6");let p,d,m,f,v,_,g,h,b,z,L,q,E,D,A,F,C,P,I,S,w,k,N,B,T,V,x,y,O,R,M,U,H,Q,G,W,j,J,Y,K,X,$,Z,ee,le,ae,ne,ie,te,oe,re,ue,ce,se,pe,de,me,fe,ve,_e,ge,he,be,ze,Le,qe,Ee,De,Ae,Fe,Ce,Pe,Ie,Se,we,ke,Ne,Be,Te,Ve,xe,ye,Oe,Re,Me,Ue,He,Qe,Ge,We,je,Je,Ye,Ke,Xe,$e,Ze,el,ll,al,nl,il,tl,ol,rl,ul,cl,sl,pl,dl,ml,fl,vl,_l,gl,hl,bl,zl,Ll,ql,El,Dl,Al,Fl,Cl,Pl,Il,Sl,wl,kl,Nl,Bl,Tl,Vl,xl,yl=e=>e;const Ol=String.raw;l.default=function(){return e(c.a.Provider,{value:!1},e(s.a.Provider,{value:n.a.INLINE},e("div",null,e("h1",null,"Fisica"),e(t.a,{title:"Vettori"},e(i.a,{title:"Componenti cartesiane"},e("p",null,"Usa le regole base della trigonometria:"),e("p",null,e(n.b,null,Ol(p||(p=yl`\vec{v} = \vec{v}_x + \vec{v}_y`)))),e("p",null,e(n.b,null,Ol(d||(d=yl`\left | \vec{v}_x \right | = \left | \vec{v} \right | \sin \alpha`)))),e("p",null,e(n.b,null,Ol(m||(m=yl`\left | \vec{v}_y \right | = \left | \vec{v} \right | \cos \alpha`))))),e(i.a,{title:"Somma"},e("p",null,"Scomponi in componenti, poi sommali:"),e("p",null,e(n.b,null,Ol(f||(f=yl`\vec{v} + \vec{w} = (\vec{v}_x + \vec{w}_x) + (\vec{v}_y + \vec{w}_y)`)))),e("p",null,"Produce il vettore risultante dall'applicazione della regola del parallelogramma.")),e(i.a,{title:"Differenza"},e("p",null,"Alla fine è sempre una somma:"),e("p",null,e(n.b,null,Ol(v||(v=yl`\vec{v} - \vec{w} = (\vec{v}_x - \vec{w}_x) + (\vec{v}_y - 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vale:"),e("p",null,e(n.b,null,Ol(A||(A=yl`G = 6.67 \cdot 10^{-11} \frac{N m^2}{{kg}^2}`))))),e(i.a,{title:"Verso la Terra"},e("p",null,"Se nel sistema di riferimento consideriamo la Terra ferma, allora un corpo è attratto verso la Terra con forza ",e("i",null,"peso")," uguale a:"),e("p",null,e(n.b,null,Ol(F||(F=yl`\left | \vec{F} \right | = g m`)))),e("p",null,e(n.b,null,"g")," è la ",e("i",null,"costante di gravità")," della Terra, e vale:"),e("p",null,e(n.b,null,Ol(C||(C=yl`g = 9.81 \frac{m}{s^2}`))))),e(i.a,{title:"Su pianeti diversi"},e("p",null,"Per pianeti diversi dalla Terra vale la stessa regola:"),e("p",null,e(n.b,null,Ol(P||(P=yl`\left | \vec{F} \right | = g m`)))),e("p",null,"L'unica differenza è che cambia la ",e("i",null,"costante di gravità"),":"),e("p",null,e(n.b,null,Ol(I||(I=yl`g_{luna} = 1.62 \frac{m}{s^2}`)))),e("p",null,e(n.b,null,Ol(S||(S=yl`g_{marte} = 3.71 \frac{m}{s^2}`)))))),e(t.a,{title:"Forze di contatto"},e(i.a,{title:"Normale"},e("p",null,"Si oppone alle 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k`))))),e(i.a,{title:"Accelerazione"},e("p",null,"La velocità non varia:"),e("p",null,e(n.b,null,Ol(H||(H=yl`a(t) = 0`))))),e(i.a,{title:"Forze"},e("p",null,"Si applica la prima legge di Newton:"),e("p",null,e(n.b,null,"f(t) = 0")))),e(t.a,{title:"Moto rettilineo uniformemente accelerato"},e(i.a,{title:"Spostamento"},e("p",null,"La ",e("i",null,"legge oraria")," è:"),e("p",null,e(n.b,null,Ol(Q||(Q=yl`s(t) = \frac{1}{2} a \cdot (\Delta t)^2 + v(0) \cdot (\Delta t) + s(0)`))))),e(i.a,{title:"Velocità"},e("p",null,"È una retta:"),e("p",null,e(n.b,null,Ol(G||(G=yl`v(t) = a \Delta t + v(0)`))))),e(i.a,{title:"Accelerazione"},e("p",null,"È costante:"),e("p",null,e(n.b,null,Ol(W||(W=yl`a(t) = k`))))),e(i.a,{title:"Forze"},e("p",null,"Si applica la prima legge di Newton:"),e("p",null,e(n.b,null,"f(t) = m a")))),e(t.a,{title:"Moto armonico semplice"},e(i.a,{title:"Ampiezza"},e("p",null,"E' la distanza dal centro massima che raggiunge il corpo."),e("p",null,"(L'ampiezza di una sinusoide.)")),e(i.a,{title:"Velocità angolare"},e("p",null,"Indica quanto in fretta cambia la posizione del corpo."),e("p",null,"Dipende dal periodo:"),e("p",null,e(n.b,null,Ol(j||(j=yl`\omega = \frac{2 \pi}{T}`))))),e(i.a,{title:"Spostamento"},e("p",null,"E' una sinusoide:"),e("p",null,e(n.b,null,Ol(J||(J=yl`s(t) = A \sin (\omega \cdot t + \phi)`))))),e(i.a,{title:"Velocità"},e("p",null,"E' la sinusoide dello spostamento, sfasata di ",e(n.b,null,Ol(Y||(Y=yl`\frac{\pi}{2}`))),":"),e("p",null,e(n.b,null,Ol(K||(K=yl`v(t) = A \sin (\omega \cdot t + \phi + \frac{\pi}{2})`))))),e(i.a,{title:"Accelerazione"},e("p",null,"E' la sinusoide della velocità, sfasata di ",e(n.b,null,Ol(X||(X=yl`\pi`))),":"),e("p",null,e(n.b,null,Ol($||($=yl`a(t) = A \sin (\omega \cdot t + \phi + \pi)`))))),e(i.a,{title:"Forze"},e("p",null,"Si applica la prima legge di Newton:"),e("p",null,e(n.b,null,"f(t) = m a")))),e(t.a,{title:"Moti composti"},e(i.a,{title:"Moto parabolico"},e("p",null,"Il moto parabolico è dato sommando un moto rettilineo uniforme sull'asse orizzontale e un moto rettilineo uniformemente accelerato sull'asse verticale.")),e(i.a,{title:"Moto circolare uniforme"},e("p",null,"Il moto parabolico è dato sommando due moti armonici semplici: uno sull'asse X, e l'altro, sfasato di ",e(n.b,null,Ol(Z||(Z=yl`\frac{\pi}{2}`))),", sull'asse Y."))),e(t.a,{title:"Moto circolare uniforme"},e(i.a,null,e("h3",null,"Velocità angolare"),e("p",null,"Quanto cambia la fase nel tempo."),e("p",null,e(n.b,null,Ol(ee||(ee=yl`\omega = \frac{2 \pi}{T}`))))),e(i.a,{title:"Fase"},e("p",null,"E' l'angolo percorso dal corpo rispetto alla posizione iniziale."),e("p",null,"Si indica con ",e(n.b,null,Ol(le||(le=yl`\phi`))),", e generalmente si usa in radianti.")),e(i.a,{title:"Velocità"},e("p",null,"Si applicano le formule per la circonferenza:"),e("p",null,e(n.b,null,Ol(ae||(ae=yl`v = \frac{\Delta s}{t} = \frac{2 \pi \cdot r}{T} = \omega r`))))),e(i.a,{title:"Accelerazione"},e("p",null,"Il corpo ha sempre un accelerazione verso il centro che gli impedisce di abbandonare il moto:"),e("p",null,e(n.b,null,Ol(ne||(ne=yl`a = \frac{v^2}{r} = r \cdot \omega^2 = v \cdot \omega`))))),e(i.a,{title:"Forza centripeta"},e("p",null,"È verso il centro e si calcola con:"),e("p",null,e(n.b,null,Ol(ie||(ie=yl`F = m \cdot a`)))))),e(t.a,{title:"Lavoro ed energia"},e(i.a,{title:"Lavoro"},e("p",null,"E' compiuto da una forza che sposta un corpo."),e("p",null,e(n.b,null,Ol(te||(te=yl`W = \vec{F} \cdot \vec{s} = F \cdot \Delta s \cdot cos(\alpha )`)))),e("p",null,"(Se la forza non è parallela allo spostamento, il prodotto scalare ci fa considerare solo la componente parallela.)")),e(i.a,{title:"Energia cinetica"},e("p",null,"Un corpo ha energia cinetica in ogni momento uguale a:"),e("p",null,e(n.b,null,Ol(oe||(oe=yl`E_c = \frac{1}{2} m v^2`)))),e("p",null,"Se una forza effettua lavoro su un corpo, cambia la sua energia cinetica pari al lavoro effettuato:"),e("p",null,e(n.b,null,Ol(re||(re=yl`\Delta E_c = W`))))),e(i.a,{title:"Energia potenziale gravitazionale"},e("p",null,"Un corpo ha energia potenziale in ogni momento pari a:"),e("p",null,e(n.b,null,Ol(ue||(ue=yl`E_{p_g} = m \cdot g \cdot h`)))),e("p",null,"(Con ",e(n.b,null,"h")," uguale a un altezza scelta come punto di riferimento.)")),e(i.a,{title:"Energia potenziale elastica"},e("p",null,"Una molla ha sempre energia potenziale elastica pari a:"),e("p",null,e(n.b,null,Ol(ce||(ce=yl`E_{p_e} = \frac{1}{2} k x^2`))))),e(i.a,{title:"Forze conservative"},e("p",null,"Sono conservative le forze per le quali il lavoro compiuto non dipende dal percorso seguito per andare dalla partenza all'arrivo."),e("p",null,"Ad esempio, è conservativa la ",e("i",null,"forza di gravità"),", ma ",e("b",null,"non")," è conservativa la forza di attrito."),e("p",null,"Se in un sistema ci sono solo forze conservative, allora l'energia meccanica totale si conserva:"),e("p",null,e(n.b,null,Ol(se||(se=yl`E = E_k + E_p`))))),e(i.a,{title:"Potenza"},e("p",null,"È la velocità di trasferimento di energia:"),e("p",null,e(n.b,null,Ol(pe||(pe=yl`P = \frac{\Delta E}{\Delta t}`)))))),e(t.a,{title:"Elettrostatica"},e(i.a,{title:"Carica elettrica"},e("p",null,"È una proprietà dei corpi che può essere ",e(o.a,null,"positiva")," o ",e(r.a,null,"negativa"),"."),e("p",null,"Si conserva: in un sistema chiuso la carica totale è costante."),e("p",null,"Esiste un'unità elementare: ",e(n.b,null,Ol(de||(de=yl`C_{elettrone} = 1.602 \cdot 10^{-19}`))),"."),e("p",null,"Cariche ",e(o.a,null,"opp"),e(r.a,null,"oste")," si attraggono; cariche ",e(o.a,null,"uguali")," si respingono.")),e(i.a,{title:"Conduttori e isolanti"},e("p",null,"Più ",e("a",{href:"https://it.wikipedia.org/wiki/Ione"},"ioni")," ha un corpo, meglio la carica si muove attraverso di esso."),e("p",null,"I corpi in cui la carica si muove bene sono ",e("i",null,"conduttori"),", mentre quelli in cui si muove difficilmente sono ",e("i",null,"isolanti"),"."),e("p",null,e("i",null,"Il corpo umano è un buon conduttore.")))),e(t.a,{title:"Polarizzazione"},e(i.a,{title:"Polarizzazione"},e("p",null,"E' possibile polarizzare un corpo per accumulare la carica di un segno in una certa zona."))),e(t.a,null,e(i.a,{title:"Messa a terra"},e("p",null,"Se un corpo conduttore è in contatto con la Terra, le cariche su di esso saranno ",e("i",null,"equilibrate")," e il corpo diventerà elettricamente neutro (con stesso numero di ",e(o.a,null,"cariche positive")," e ",e(r.a,null,"negative")," all'interno)."))),e(t.a,null,e(i.a,{title:"Polarizzazione per strofinio"},e("p",null,"Strofinando tra loro due corpi isolanti, essi si ",e("i",null,"polarizzeranno per strofinio"),".")),e(i.a,{title:"Polarizzazione per contatto"},e("p",null,"Toccando un conduttore con un corpo carico, il conduttore potrà ",e("i",null,"polarizzarsi per contatto"),".")),e(i.a,{title:"Polarizzazione per induzione"},e("p",null,'Se un corpo conduttore ha cariche "esterne" di un ',e(o.a,null,"certo segno")," vicino, esso avrà tutte le cariche del ",e(r.a,null,"segno opposto")," in equilibrio vicino alle cariche esterne, e tutte le cariche dello ",e(o.a,null,"stesso segno")," più lontano possibile da esse."),e("p",null,"Mettendo a terra il conduttore, nuove cariche del ",e(r.a,null,"segno opposto")," saranno attratte all'interno del corpo per equilibrare le cariche che si sono allontanate."),e("p",null,"Staccando il conduttore da terra e rimuovendo le cariche esterne, esso si ritroverà ",e(r.a,null,"caricato del segno opposto")," rispetto alle cariche esterne."))),e(t.a,{title:"Forza elettrica"},e(i.a,{title:"Legge di Coulomb"},e("p",null,"Due corpi carichi si attraggono tra loro con forza:"),e("p",null,e(n.b,null,Ol(me||(me=yl`\left | \vec{F}_{elettrica} \right | = \frac{-k \cdot q_1 \cdot q_2}{s^2}`)))),e("p",null,e(n.b,null,Ol(fe||(fe=yl`k`)))," è la ",e("i",null,"costante di Coulomb"),", e vale ",e(n.b,null,Ol(ve||(ve=yl`k = 8.99 \cdot 10^9 \frac{N \cdot m^2}{C^2}`))),".")),e(i.a,{title:"Permeabilità dello spazio vuoto"},e("p",null,"La costante ",e(n.b,null,Ol(_e||(_e=yl`k`)))," è in realtà dipendente da un altra costante, ",e(n.b,null,Ol(ge||(ge=yl`\epsilon_0`))),", la ",e("i",null,"permeabilità del vuoto"),"."),e("p",null,e(n.b,null,Ol(he||(he=yl`k = \frac{1}{4 \pi \cdot \epsilon_0}`)))),e("p",null,e(n.b,null,Ol(be||(be=yl`\left | \vec{F}_{elettrica} \right | = \frac{q_1 \cdot q_2}{4 \pi \cdot \epsilon_0 \cdot s^2}`))))),e(i.a,{title:"Campo elettrico"},e("p",null,"Misura che forza viene applicata in ogni punto su una carica unitaria:"),e("p",null,e(n.b,null,Ol(ze||(ze=yl`\vec{E} = \frac{\vec{F}_{elettrica}}{q} = \frac{-k \cdot q}{s^2}`))))),e(i.a,{title:"Flusso elettrico"},e("p",null,'È la differenza tra "quanto" campo elettrico ',e(o.a,null,"entra")," e quanto campo elettrico ",e(r.a,null,"esce")," da una certa area."),e("p",null,"In qualsiasi superficie chiusa, il flusso elettrico è uguale alla componente perpendicolare del campo elettrico moltiplicato per l'area."),e("p",null,e(n.b,null,Ol(Le||(Le=yl`\Phi_E = \vec{E} \cdot \vec{A}`)))),e("p",null,"Se il campo elettrico è uniforme, se ne può calcolare facilmente il valore:"),e("p",null,e(n.b,null,Ol(qe||(qe=yl`\Phi_E = \vec{E} \cdot \vec{A} = E_\perp \cdot A \cdot \cos(\alpha)`)))),e("p",null,e(u.a,null,"Circa. E' una specie di integrale..."))),e(i.a,{title:"Legge di Gauss per i campi elettrostatici"},e("p",null,"Il flusso elettrico è direttamente proporzionale alla carica presente all'interno della superficie."),e("p",null,e(n.b,null,Ol(Ee||(Ee=yl`\Phi_E = 4 \pi \cdot k \cdot q = \frac{q}{\epsilon_0}`)))),e("p",null,"Ovvero, i campi elettrostatici sono generati dalle cariche elettriche."))),e(t.a,{title:"Energia elettrica"},e(i.a,{title:"Energia potenziale elettrica"},e("p",null,"Un corpo carico vicino ad altre cariche possiede un'",e("i",null,"energia potenziale elettrica")," ",e(n.b,null,Ol(De||(De=yl`U_e`))),"."))),e(t.a,{title:"Circuiti elettrici"},e(i.a,{title:e("span",null,"Potenziale elettrico ",e("small",null,"(tensione)"))},e("p",null,"È il valore dell'energia potenziale elettrica per una carica unitaria."),e("p",null,e(n.b,null,Ol(Ae||(Ae=yl`V = \frac{U_e}{q}`)))),e("p",null,"La sua unità di misura è il Volt (",e(n.b,null,Ol(Fe||(Fe=yl`V`))),")."),e("p",null,"In una batteria è detto ",e("i",null,"forza elettromotrice"),", e corrisponde al lavoro compiuto da una batteria ideale per spostare una carica unitaria tra i due poli.")),e(i.a,{title:e("span",null,"Corrente elettrica ",e("small",null,"(intensità)"))},e("p",null,"Quanta carica passa attraverso un'area (perpendicolare al flusso) nel tempo."),e("p",null,e(n.b,null,Ol(Ce||(Ce=yl`I = \frac{\Delta q}{\Delta t}`)))),e("p",null,"Fintanto che c'è differenza di potenziale, ci sarà anche intensità non nulla."),e("p",null,"La sua unità di misura è l'Ampere (",e(n.b,null,Ol(Pe||(Pe=yl`A`))),").")),e(i.a,{title:e("span",null,"Corrente continua ",e("small",null,"(",e("abbr",{title:"Direct Current"},"DC"),")"))},e("p",null,"Quando in un circuito la direzione della corrente è costante.")),e(i.a,{title:e("span",null,"Corrente alternata ",e("small",null,"(",e("abbr",{title:"Alternate Current"},"AC"),")"))},e("p",null,"Quando in un circuito la direzione della corrente si alterna periodicamente.")),e(i.a,{title:"Potenza elettrica"},e("p",null,"Possiamo calcolare la potenza di un circuito:"),e("p",null,e(n.b,null,Ol(Ie||(Ie=yl`P = \frac{\Delta U_e}{\Delta t} = I \cdot \Delta V = I^2 \cdot R = \frac{(\Delta V)^2}{R}`)))))),e(t.a,{title:"Elementi di un circuito"},e(i.a,{title:"Resistore"},e("p",null,"Riduce l'intensità di corrente, e converte parte del potenziale in calore."),e("p",null,"Il potenziale utilizzato è pari a:"),e("p",null,e(n.b,null,Ol(Se||(Se=yl`V = R \cdot I`)))),e("p",null,"Dove ",e(n.b,null,Ol(we||(we=yl`R`)))," è una costante detta ",e("i",null,"resistenza")," con unità di misura Ohm (",e(n.b,null,Ol(ke||(ke=yl`\Omega`))),")."),e("p",null,"La resistenza di un conduttore vale:"),e("p",null,e(n.b,null,Ol(Ne||(Ne=yl`R = \rho \frac{L_{unghezza}}{A_{rea}}`)))),e("p",null,e(n.b,null,Ol(Be||(Be=yl`\rho`)))," è la ",e("i",null,"resistività")," del materiale, e varia in base alla temperatura:"),e("p",null,e(n.b,null,Ol(Te||(Te=yl`\rho = \rho_0 (1 + \alpha(T - T_0))`))))),e(i.a,{title:"Condensatore"},e("p",null,"Immagazzina potenziale elettrico, permettendo di riutilizzarla in seguito."),e("p",null,"Per farlo, cattura cariche ",e(o.a,null,"positive")," e ",e(r.a,null,"negative")," sulle sue due armature; perchè questo avvenga, deve essere compiuto lavoro."),e("p",null,"Ha una ",e("b",null,"capacità")," caratteristica, che in un condensatore a facce piane parallele è:"),e("p",null,e(n.b,null,Ol(Ve||(Ve=yl`C = \frac{q_{massima}}{\Delta V}`)))),e("p",null,"Condensatori di capacità maggiore immagazzinano più potenziale con meno carica."),e("p",null,"La capacità aumenta se viene messo qualcosa tra le armature:"),e("p",null,e(n.b,null,Ol(xe||(xe=yl`C_{nuova} = \kappa \cdot \frac{\epsilon_0 \cdot A}{s}`)))),e("p",null,"Dove ",e(n.b,null,Ol(ye||(ye=yl`\kappa`)))," è la ",e("i",null,"costante dielettrica relativa")," del materiale inserito, ",e(n.b,null,Ol(Oe||(Oe=yl`A`)))," l'area di una armatura e ",e(n.b,null,Ol(Re||(Re=yl`s`)))," la distanza tra le due armature."),e("p",null,"Se il campo elettrico creatosi tra le due armature supera la ",e("i",null,"rigidità dielettrica")," del condensatore, la carica immagazzinata viene persa e ha luogo un ",e("i",null,"breakdown"),"."),e("p",null,"La sua unità di misura è il Farad (",e(n.b,null,Ol(Me||(Me=yl`Fa`))),")")),e(i.a,{title:"Amperometro"},e("p",null,"Misura la corrente elettrica se messo in serie."),e("p",null,"(Funzionamento: ha una resistenza interna bassisima in modo da non influire significativamente sulla corrente.)")),e(i.a,{title:"Voltmetro"},e("p",null,"Misura la differenza di potenziale se messo in parallelo."),e("p",null,"(Funzionamento: ha una resistenza altissima in modo da non influire significativamente sulla tensione.)"))),e(t.a,{title:"Principi di Kirchhoff"},e(i.a,{title:"Legge dei nodi"},e("p",null,"Per nodo si intende un qualsiasi punto del circuito."),e("p",null,"Da un nodo entra ed esce la stessa corrente.")),e(i.a,{title:"Legge delle maglie"},e("p",null,"Per maglia si intende un qualsiasi percorso chiuso all'interno del circuito."),e("p",null,"In una maglia chiusa, la somma delle differenze di potenziale è 0."))),e(t.a,{title:"Serie e Parallelo"},e(i.a,{title:"Circuito in serie"},e("p",null,"Più parti di circuito sono ",e("i",null,"in serie")," se sono consecutive e senza biforcazioni."),e("p",null,"Parti di circuito in serie sono attraversate dalla stessa corrente.")),e(i.a,{title:"Circuito in parallelo"},e("p",null,"Più parti di circuito sono ",e("i",null,"in parallelo")," tra loro se hanno lo stesso punto di partenza e lo stesso punto di arrivo."),e("p",null,"Parti di circuito in parallelo hanno la stessa differenza di potenziale."))),e(t.a,{title:"Resistenze equivalenti"},e(i.a,{title:"Circuiti in serie"},e("p",null,"Nei circuiti in serie, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza della somma di tutte le quelle sostituite:"),e("p",null,e(n.b,null,Ol(Ue||(Ue=yl`R_{serie} = \sum_{i=1}^{n} R_i`))))),e(i.a,{title:"Circuiti in parallelo"},e("p",null,"Nei circuiti in parallelo, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza di:"),e("p",null,e(n.b,null,Ol(He||(He=yl`R_{parallelo} = \frac{1}{\sum_{i=1}^{n} \frac{1}{R_i}}`)))))),e(t.a,{title:"Condensatori equivalenti"},e(i.a,{title:"Circuiti in serie"},e("p",null,"Nei circuiti in serie, tutti i condensatori possono essere sostituiti con uno equivalente dalla capacità di:"),e("p",null,e(n.b,null,Ol(Qe||(Qe=yl`C_{serie} = \frac{1}{\sum_{i=1}^{n} \frac{1}{C_i}}`))))),e(i.a,{title:"Circuiti in parallelo"},e("p",null,"Nei circuiti in parallelo, tutte i condensatori possono essere sostituite con uno equivalente dalla capacità della somma di tutti quelli sostituiti:"),e("p",null,e(n.b,null,Ol(Ge||(Ge=yl`C_{parallelo} = \sum_{i=1}^{n} C_n`)))))),e(t.a,{title:"Magnetismo"},e(i.a,{title:"Permeabilità magnetica dello spazio vuoto"},e("p",null,"E' una costante fisica fondamentale che rappresenta quanto un materiale si magnetizza facilmente."),e("p",null,e(n.b,null,Ol(We||(We=yl`\mu_0 = 4 \pi \cdot 10^{-7} \frac{H}{m}`)))," (",e(n.b,null,Ol(je||(je=yl`\frac{N}{A^2}`))),")")),e(i.a,{title:"Campo magnetico"},e("p",null,"Come un campo elettrico, ma per i magneti."),e("p",null,"Il suo simbolo è ",e(n.b,null,Ol(Je||(Je=yl`B`))),", e la sua unità di misura è il Tesla (",e(n.b,null,"T"),").")),e(i.a,{title:"Flusso magnetico"},e("p",null,'È "quanto" campo magnetico ',e("b",null,"attraversa")," un percorso chiuso."),e("p",null,'Per qualsiasi percorso chiuso, il flusso magnetico è uguale alla somma di tutti i "sottoflussi" magnetici calcolati sui suoi lati.'),e("p",null,e(n.b,null,Ol(Ye||(Ye=yl`\Phi_{B_{i}} = \vec{B} \cdot \vec{L}_n = B \cdot L_i \cdot \sin(\alpha) = B_\parallel \cdot L_i`)))),e("p",null,e(n.b,null,Ol(Ke||(Ke=yl`\Phi_{B} = \sum_{i=0}^{n_{lati}} \Phi_{Bn}`)))),e("p",null,"La sua unità di misura è il Weber (",e(n.b,null,Ol(Xe||(Xe=yl`Wb = T \cdot m^2`))),").")),e(i.a,{title:"Legge di Gauss per i campi magnetici"},e("p",null,"Il flusso magnetico attraverso qualsiasi superficie chiusa è sempre nullo."),e("p",null,"Ovvero, non esistono monopoli magnetici.")),e(i.a,{title:"Legge di Ampère"},e("p",null,"L'intensità di corrente che attraversa un percorso chiuso è direttamente proporzionale al flusso magnetico dello stesso percorso."),e("p",null,e(n.b,null,Ol($e||($e=yl`\Phi_B = \mu_0 \cdot I`)))))),e(t.a,{title:"Forze magnetiche"},e(i.a,{title:e("span",null,"Forza magnetica su carica puntiforme ",e("small",null,"(Forza di Lorentz)"))},e("p",null,"I campi magnetici applicano una forza sulle cariche vicine:"),e("p",null,e(n.b,null,Ol(Ze||(Ze=yl`\vec{F}_{B} = q \cdot (\vec{v} \times \vec{B})`)))),e("p",null,"Dove ",e(n.b,null,Ol(el||(el=yl`\vec{B}`)))," è l'intensità del campo magnetico e ",e(n.b,null,Ol(ll||(ll=yl`\vec{v}`)))," la velocità della carica considerata."),e("p",null,"Si ha una forza massima se la velocità è perpendicolare al campo magnetico."),e("p",null,"In un campo magnetico uniforme, una velocità perpendicolare al campo porta alla creazione di un moto circolare uniforme.")),e(i.a,{title:"Forza magnetica in un filo"},e("p",null,"I campi magnetici influenzano ovviamente anche le cariche presenti in un conduttore:"),e("p",null,e(n.b,null,Ol(al||(al=yl`\vec{F}_{magnetica} = I \cdot (\vec{L} \times \vec{B})`)))," ",e("a",{href:"https://it.openprof.com/wb/forza_di_lorentz_su_un_filo_percorso_da_corrente?ch=360"},"[1]")),e("p",null,"Dove ",e(n.b,null,Ol(nl||(nl=yl`I`)))," è la corrente elettrica, ",e(n.b,null,Ol(il||(il=yl`\vec{L}`)))," è un vettore che punta nella direzione di scorrimento della corrente e ha come modulo la lunghezza del conduttore."))),e(t.a,{title:"Campi magnetici"},e(i.a,{title:"Campo magnetico in una spira"},e("p",null,"Una spira in cui passa corrente produce un campo magnetico perpendicolare al piano creato dalla spira.")),e(i.a,{title:"Campo magnetico di un solenoide"},e("p",null,"Un solenoide sono tante spire avvolte in modo da formare una specie di cilindro."),e("p",null,"All'interno del solenoide si crea un campo (quasi) uniforme:"),e("p",null,e(n.b,null,Ol(tl||(tl=yl`\left | \vec{B} \right | = \mu_0 \cdot I \cdot \frac{A_{vvolgimenti}}{L_{unghezzafilo}}`))))),e(i.a,{title:"Legge di Oersted"},e("p",null,e("i",null,"Caso particolare della ",e("a",{href:"https://it.wikipedia.org/wiki/Legge_di_Amp%C3%A8re"},"Legge di Ampère"),".")),e("p",null,"Il modulo del campo magnetico ",e(n.b,null,"B")," prodotto da un filo in cui passa una corrente continua ",e(n.b,null,"I")," alla distanza ",e(n.b,null,"s")," è:"),e("p",null,e(n.b,null,Ol(ol||(ol=yl`\left | \vec{B} \right | = \frac{\mu \cdot I}{2 \pi r}`)))),e("p",null,"Il campo magnetico così creato gira attorno al filo in senso antiorario."),e("p",null,"Due fili attraversati dalla ",e(o.a,null,"stessa corrente")," si attraggono, due fili attraversati da ",e(o.a,null,"corr"),e(r.a,null,"enti")," ",e(o.a,null,"opp"),e(r.a,null,"oste")," si respingono."))),e(t.a,{title:"Induzione elettromagnetica"},e(i.a,{title:"Forza elettromotrice indotta"},e("p",null,"Un conduttore perpendicolare ad un campo magnetico può ottenere una differenza di potenziale se messo in movimento in un direzione perpendicolare alla direzione del conduttore e del campo."),e("p",null,"La differenza di potenziale si crea a causa della forza magnetica, che fa spostare tutti gli elettroni verso un capo del conduttore."),e("p",null,"Essa vale:"),e("p",null,e(n.b,null,Ol(rl||(rl=yl`\Delta V_{indotta} = v \cdot B \cdot L`)))),e("p",null,"Dove ",e(n.b,null,"v")," è la velocità del conduttore, ",e(n.b,null,"B")," è l'intensità del campo magnetico ed ",e(n.b,null,"L")," è la lunghezza del conduttore.")),e(i.a,{title:"Flusso magnetico in una spira"},e("p",null,"In un campo magnetico ",e(n.b,null,Ol(ul||(ul=yl`B`)))," uniforme e perpendicolare al piano di una spira di area ",e(n.b,null,Ol(cl||(cl=yl`A`))),", il flusso magnetico si può determinare con la ",e("i",null,"Legge di Faraday-Neumann-Lenz"),":"),e("p",null,e(n.b,null,Ol(sl||(sl=yl`\Phi_B = \vec{B} \cdot \vec{A} = B \cdot A \cdot \cos(\alpha)`)))))),e(t.a,null,e(i.a,{title:"Legge di Faraday-Neumann-Lenz"},e("p",null,"Dice che la forza elettromotrice media indotta in un percorso dipende dalla variazione nel tempo del flusso magnetico nello stesso percorso."),e("p",null,e(n.b,null,Ol(pl||(pl=yl`\Delta V_{indotta} = - \frac{\Delta \Phi_B}{\Delta t}`)))),e("p",null,"Il meno è dovuto alla ",e("a",{href:"https://it.wikipedia.org/wiki/Legge_di_Lenz"},"Legge di Lenz"),", che specifica qualitativamente il verso della forza elettromotrice indotta.")),e(i.a,{title:"Faraday in un solenoide"},e("p",null,"In un solenoide, la forza elettromotrice indotta è uguale a:"),e("p",null,e(n.b,null,Ol(dl||(dl=yl`\Delta V_{indotta} = - \frac{N \cdot \Delta \Phi_{B_{spira}}}{\Delta t} = - \frac{N \cdot B \cdot A \cdot cos(\alpha)}{\Delta t}`)))),e("p",null,"Dove ",e(n.b,null,Ol(ml||(ml=yl`N`)))," è il numero delle spire del solenoide.")),e(i.a,{title:"Legge di Ampère-Maxwell"},e("p",null,"Correnti o campi elettrici variabili creano un campo magnetico."))),e(t.a,{title:"Elettromagnetismo"},e(i.a,{title:"Onde elettromagnetiche"},e("p",null,"Nel vuoto, il campo elettrico ",e(n.b,null,Ol(fl||(fl=yl`E`)))," e il campo magnetico ",e(n.b,null,Ol(vl||(vl=yl`B`)))," sono perpendicolari tra loro e la direzione di propagazione, e sono entrambe funzioni del tempo."),e("p",null,"Si dice quindi che sono ",e("i",null,"onde elettromagnetiche"),"."),e("p",null,"Esse sono legate dalla relazione:"),e("p",null,e(n.b,null,Ol(_l||(_l=yl`E = c \cdot B`)))),e("p",null,"Dove ",e(n.b,null,Ol(gl||(gl=yl`c`)))," è la velocità delle onde (luce) nel vuoto, e a sua volta è uguale a:"),e("p",null,e(n.b,null,Ol(hl||(hl=yl`c = \frac{1}{\sqrt{\epsilon_0 \cdot \mu_0}} = 3.00 \cdot 10^8 \frac{m}{s}`))))),e(i.a,{title:"Formula delle onde"},e("p",null,e(n.b,null,Ol(bl||(bl=yl`A(t) = A_{max} \cdot \sin \left ( \frac{2 \pi}{\lambda} - \omega t + \phi \right )`)))),e("p",null,"Dove ",e(n.b,null,Ol(zl||(zl=yl`A_{max}`)))," è l'ampiezza massima che può avere l'onda, ",e(n.b,null,Ol(Ll||(Ll=yl`\frac{2 \pi}{\lambda} = \left | \vec{k} \right |`)))," è il vettore d'onda, ",e(n.b,null,Ol(ql||(ql=yl`\omega`)))," la frequenza angolare e ",e(n.b,null,Ol(El||(El=yl`\phi`)))," la fase."))),e(t.a,{title:"Spettroscopia"},e(i.a,{title:"Emissione"},e("p",null,"I solidi, se portati ad alta temperatura, emettono luce con uno ",e("a",{href:"https://it.wikipedia.org/wiki/Spettro_continuo"},"spettro continuo"),"."),e("p",null,"I gas, invece, ad alta temperatura emettono luce solo con particolari lunghezze d'onda."),e("p",null,"In un gas di idrogeno, le lunghezze d'onda emesse sono ricavabili con:"),e("p",null,e(n.b,null,Ol(Dl||(Dl=yl`\frac{1}{\lambda} = R \left ( \frac{1}{4} - \frac{1}{n^2} \right )`)))),e("p",null,"Con ",e(n.b,null,Ol(Al||(Al=yl`R = 1.097 \cdot 10^7 \frac{1}{m}`))),", detta costante di Rydberg, e ",e(n.b,null,Ol(Fl||(Fl=yl`n`)))," un numero intero.")),e(i.a,{title:"Grandezza quantizzata"},e("p",null,"Una grandezza si dice quantizzata (o discreta) se può assumere solo determinati valori."),e("p",null,"Una grandezza si dice continua se può assumere qualsiasi valore e quindi se non è quantizzata."),e("p",null,"Energia, momento angolare e raggio sono quantizzati."),e("p",null,"Nota costante quantica è ",e(n.b,null,Ol(Cl||(Cl=yl`h`))),", la costante di Planck, ovvero il valore minimo possibile per la carica (talvolta espressa come ",e(n.b,null,Ol(Pl||(Pl=yl`\hbar = \left ( \frac{h}{2 \pi} \right )`))),"."))),e(t.a,null,e(i.a,{title:"Modello di Bohr"},e("p",null,"L'energia degli elettroni è quantizzata."),e("p",null,"Inoltre, per essi è valido che:"),e("p",null,e(n.b,null,Ol(Il||(Il=yl`m \cdot v_n \cdot 2 \pi \cdot r = n \cdot h`)))),e("p",null,"Ancora, il raggio delle orbite è uguale a:"),e("p",null,e(n.b,null,Ol(Sl||(Sl=yl`r_n = n^2 \cdot a_0 = n^2 \cdot \frac{\hbar}{m_{elettrone} \cdot k \cdot e^2} `)))),e("p",null,"Con ",e(n.b,null,Ol(wl||(wl=yl`a_0 = \left ( \frac{h}{2 \pi} \right )^2 \cdot \frac{1}{m_{elettrone} \cdot k \cdot e^2} = 5.29 \cdot 10^{-11} m`))),"."),e("p",null,"Infine, in ogni stato, l'energia è pari a:"),e("p",null,e(n.b,null,Ol(kl||(kl=yl`E_n = \frac{1}{n^2} \cdot E_1 = - \frac{1}{n^2} \cdot \frac{a_0^2}{2 \cdot m \cdot \hbar^4} = - \frac{1}{n^2} \cdot \frac{m_{elettrone} \cdot k^2 \cdot e^4}{2 \cdot \hbar^2}`)))),e("p",null,"Due elettroni non possono occupare lo stesso stato."),e("p",null,"Questo modello funziona solo per atomi con numero atomico basso. Atomi con molti elettroni hanno comportamenti diversi, descritti dal modello di"))),e(t.a,null,e(i.a,{title:"Nei solidi"},e("p",null,"Nei solidi, le lunghezze d'onda sono talmente tanto vicine da poter essere considerate una banda."),e("p",null,"Possono però comunque avere dei gap dovuti agli intervalli di energia non ammessi."))),e(t.a,{title:"Semiconduttori"},e(i.a,{title:"Semiconduttori"},e("p",null,e(u.a,null,"Refactor this")),e("p",null,"Se la banda di emissione con energia più alta di un corpo è assente o è separata da un gap dell'ordine di grandezza maggiore di ",e(n.b,null,Ol(Nl||(Nl=yl`10^1 eV`))),", allora il corpo è un isolante."),e("p",null,"Se invece la banda di emissione si sovrappone a un altra, allora il corpo è un conduttore."),e("p",null,"Se il gap è invece dell'ordine di grandezza di ",e(n.b,null,Ol(Bl||(Bl=yl`1 eV`))),", allora il corpo è un semiconduttore.")),e(i.a,{title:"Lacune"},e("p",null,"Legami in cui ",e(o.a,null,"mancano 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forza è opposta a quella applicata per deformarla.)"))),e(t.a,{title:"Cinematica"},e(i.a,{title:"Spostamento"},e("p",null,"È un vettore che indica la posizione di un corpo rispetto a un'origine."),e("p",null,e(n.b,null,Ol(B||(B=yl`\Delta \vec{s} = \vec{s}(fine) - \vec{s}(inizio)`))))),e(i.a,{title:"Velocità"},e("p",null,"È un vettore che misura la variazione di posizione nel tempo."),e("p",null,e(n.b,null,Ol(T||(T=yl`\vec{v} = \frac{\Delta \vec{s}}{\Delta t}`)))),e("p",null,"Se si considera un intervallo di tempo infinitesimale si dice ",e("i",null,"velocità istantanea"),":"),e("p",null,e(n.b,null,Ol(V||(V=yl`\vec{v} = \lim_{\Delta t \to 0} \frac{\Delta \vec{s}}{\Delta t} = \frac{d \vec{s}}{dt}`))))),e(i.a,{title:"Accelerazione"},e("p",null,"È un vettore che misura la variazione di velocità nel tempo."),e("p",null,e(n.b,null,Ol(x||(x=yl`\vec{a} = \frac{\Delta \vec{v}}{\Delta t}`)))),e("p",null,"Se si considera un intervallo di tempo infinitesimale si dice ",e("i",null,"accelerazione istantanea"),":"),e("p",null,e(n.b,null,Ol(y||(y=yl`\vec{a} = \lim_{\Delta v \to 0} \frac{\Delta \vec{v}}{\Delta t} = \frac{d \vec{v}}{d t} = \frac{d^2 \vec{s}}{d t^2}`))))),e(i.a,{title:e("span",null,"Quantità di moto ",e("small",null,"(momento lineare)"))},e("p",null,"La quantità di moto è una proprietà vettoriale dei corpi:"),e("p",null,e(n.b,null,Ol(O||(O=yl`\vec{p} = m \vec{v}`)))),e("p",null,"Se la forza risultante è nulla, la quantità di moto non cambia."),e("p",null,e(n.b,null,Ol(R||(R=yl`\Sigma \vec{F} = 0 \Longleftrightarrow \Delta \vec{p} = 0`)))))),e(t.a,{title:"Moto rettilineo uniforme"},e(i.a,{title:"Spostamento"},e("p",null,"La ",e("i",null,"legge oraria")," è:"),e("p",null,e(n.b,null,Ol(M||(M=yl`s(t) = v \cdot \Delta t + s(0)`))))),e(i.a,{title:"Velocità"},e("p",null,"È costante:"),e("p",null,e(n.b,null,Ol(U||(U=yl`v(t) = k`))))),e(i.a,{title:"Accelerazione"},e("p",null,"La velocità non varia:"),e("p",null,e(n.b,null,Ol(H||(H=yl`a(t) = 0`))))),e(i.a,{title:"Forze"},e("p",null,"Si applica la prima legge di Newton:"),e("p",null,e(n.b,null,"f(t) = 0")))),e(t.a,{title:"Moto rettilineo uniformemente accelerato"},e(i.a,{title:"Spostamento"},e("p",null,"La ",e("i",null,"legge oraria")," è:"),e("p",null,e(n.b,null,Ol(Q||(Q=yl`s(t) = \frac{1}{2} a \cdot (\Delta t)^2 + v(0) \cdot (\Delta t) + s(0)`))))),e(i.a,{title:"Velocità"},e("p",null,"È una retta:"),e("p",null,e(n.b,null,Ol(G||(G=yl`v(t) = a \Delta t + v(0)`))))),e(i.a,{title:"Accelerazione"},e("p",null,"È costante:"),e("p",null,e(n.b,null,Ol(W||(W=yl`a(t) = k`))))),e(i.a,{title:"Forze"},e("p",null,"Si applica la prima legge di Newton:"),e("p",null,e(n.b,null,"f(t) = m a")))),e(t.a,{title:"Moto armonico semplice"},e(i.a,{title:"Ampiezza"},e("p",null,"E' la distanza dal centro massima che raggiunge il corpo."),e("p",null,"(L'ampiezza di una sinusoide.)")),e(i.a,{title:"Velocità angolare"},e("p",null,"Indica quanto in fretta cambia la posizione del corpo."),e("p",null,"Dipende dal periodo:"),e("p",null,e(n.b,null,Ol(j||(j=yl`\omega = \frac{2 \pi}{T}`))))),e(i.a,{title:"Spostamento"},e("p",null,"E' una sinusoide:"),e("p",null,e(n.b,null,Ol(J||(J=yl`s(t) = A \sin (\omega \cdot t + \phi)`))))),e(i.a,{title:"Velocità"},e("p",null,"E' la sinusoide dello spostamento, sfasata di ",e(n.b,null,Ol(Y||(Y=yl`\frac{\pi}{2}`))),":"),e("p",null,e(n.b,null,Ol(K||(K=yl`v(t) = A \sin (\omega \cdot t + \phi + \frac{\pi}{2})`))))),e(i.a,{title:"Accelerazione"},e("p",null,"E' la sinusoide della velocità, sfasata di ",e(n.b,null,Ol(X||(X=yl`\pi`))),":"),e("p",null,e(n.b,null,Ol($||($=yl`a(t) = A \sin (\omega \cdot t + \phi + \pi)`))))),e(i.a,{title:"Forze"},e("p",null,"Si applica la prima legge di Newton:"),e("p",null,e(n.b,null,"f(t) = m a")))),e(t.a,{title:"Moti composti"},e(i.a,{title:"Moto parabolico"},e("p",null,"Il moto parabolico è dato sommando un moto rettilineo uniforme sull'asse orizzontale e un moto rettilineo uniformemente accelerato sull'asse verticale.")),e(i.a,{title:"Moto circolare uniforme"},e("p",null,"Il moto parabolico è dato sommando due moti armonici semplici: uno sull'asse X, e l'altro, sfasato di ",e(n.b,null,Ol(Z||(Z=yl`\frac{\pi}{2}`))),", sull'asse Y."))),e(t.a,{title:"Moto circolare uniforme"},e(i.a,null,e("h3",null,"Velocità angolare"),e("p",null,"Quanto cambia la fase nel tempo."),e("p",null,e(n.b,null,Ol(ee||(ee=yl`\omega = \frac{2 \pi}{T}`))))),e(i.a,{title:"Fase"},e("p",null,"E' l'angolo percorso dal corpo rispetto alla posizione iniziale."),e("p",null,"Si indica con ",e(n.b,null,Ol(le||(le=yl`\phi`))),", e generalmente si usa in radianti.")),e(i.a,{title:"Velocità"},e("p",null,"Si applicano le formule per la circonferenza:"),e("p",null,e(n.b,null,Ol(ae||(ae=yl`v = \frac{\Delta s}{t} = \frac{2 \pi \cdot r}{T} = \omega r`))))),e(i.a,{title:"Accelerazione"},e("p",null,"Il corpo ha sempre un accelerazione verso il centro che gli impedisce di abbandonare il moto:"),e("p",null,e(n.b,null,Ol(ne||(ne=yl`a = \frac{v^2}{r} = r \cdot \omega^2 = v \cdot \omega`))))),e(i.a,{title:"Forza centripeta"},e("p",null,"È verso il centro e si calcola con:"),e("p",null,e(n.b,null,Ol(ie||(ie=yl`F = m \cdot a`)))))),e(t.a,{title:"Lavoro ed energia"},e(i.a,{title:"Lavoro"},e("p",null,"E' compiuto da una forza che sposta un corpo."),e("p",null,e(n.b,null,Ol(te||(te=yl`W = \vec{F} \cdot \vec{s} = F \cdot \Delta s \cdot cos(\alpha )`)))),e("p",null,"(Se la forza non è parallela allo spostamento, il prodotto scalare ci fa considerare solo la componente parallela.)")),e(i.a,{title:"Energia cinetica"},e("p",null,"Un corpo ha energia cinetica in ogni momento uguale a:"),e("p",null,e(n.b,null,Ol(oe||(oe=yl`E_c = \frac{1}{2} m v^2`)))),e("p",null,"Se una forza effettua lavoro su un corpo, cambia la sua energia cinetica pari al lavoro effettuato:"),e("p",null,e(n.b,null,Ol(re||(re=yl`\Delta E_c = W`))))),e(i.a,{title:"Energia potenziale gravitazionale"},e("p",null,"Un corpo ha energia potenziale in ogni momento pari a:"),e("p",null,e(n.b,null,Ol(ue||(ue=yl`E_{p_g} = m \cdot g \cdot h`)))),e("p",null,"(Con ",e(n.b,null,"h")," uguale a un altezza scelta come punto di riferimento.)")),e(i.a,{title:"Energia potenziale elastica"},e("p",null,"Una molla ha sempre energia potenziale elastica pari a:"),e("p",null,e(n.b,null,Ol(ce||(ce=yl`E_{p_e} = \frac{1}{2} k x^2`))))),e(i.a,{title:"Forze conservative"},e("p",null,"Sono conservative le forze per le quali il lavoro compiuto non dipende dal percorso seguito per andare dalla partenza all'arrivo."),e("p",null,"Ad esempio, è conservativa la ",e("i",null,"forza di gravità"),", ma ",e("b",null,"non")," è conservativa la forza di attrito."),e("p",null,"Se in un sistema ci sono solo forze conservative, allora l'energia meccanica totale si conserva:"),e("p",null,e(n.b,null,Ol(se||(se=yl`E = E_k + E_p`))))),e(i.a,{title:"Potenza"},e("p",null,"È la velocità di trasferimento di energia:"),e("p",null,e(n.b,null,Ol(pe||(pe=yl`P = \frac{\Delta E}{\Delta t}`)))))),e(t.a,{title:"Elettrostatica"},e(i.a,{title:"Carica elettrica"},e("p",null,"È una proprietà dei corpi che può essere ",e(o.a,null,"positiva")," o ",e(r.a,null,"negativa"),"."),e("p",null,"Si conserva: in un sistema chiuso la carica totale è costante."),e("p",null,"Esiste un'unità elementare: ",e(n.b,null,Ol(de||(de=yl`C_{elettrone} = 1.602 \cdot 10^{-19}`))),"."),e("p",null,"Cariche ",e(o.a,null,"opp"),e(r.a,null,"oste")," si attraggono; cariche ",e(o.a,null,"uguali")," si respingono.")),e(i.a,{title:"Conduttori e isolanti"},e("p",null,"Più ",e("a",{href:"https://it.wikipedia.org/wiki/Ione"},"ioni")," ha un corpo, meglio la carica si muove attraverso di esso."),e("p",null,"I corpi in cui la carica si muove bene sono ",e("i",null,"conduttori"),", mentre quelli in cui si muove difficilmente sono ",e("i",null,"isolanti"),"."),e("p",null,e("i",null,"Il corpo umano è un buon conduttore.")))),e(t.a,{title:"Polarizzazione"},e(i.a,{title:"Polarizzazione"},e("p",null,"E' possibile polarizzare un corpo per accumulare la carica di un segno in una certa zona."))),e(t.a,null,e(i.a,{title:"Messa a terra"},e("p",null,"Se un corpo conduttore è in contatto con la Terra, le cariche su di esso saranno ",e("i",null,"equilibrate")," e il corpo diventerà elettricamente neutro (con stesso numero di ",e(o.a,null,"cariche positive")," e ",e(r.a,null,"negative")," all'interno)."))),e(t.a,null,e(i.a,{title:"Polarizzazione per strofinio"},e("p",null,"Strofinando tra loro due corpi isolanti, essi si ",e("i",null,"polarizzeranno per strofinio"),".")),e(i.a,{title:"Polarizzazione per contatto"},e("p",null,"Toccando un conduttore con un corpo carico, il conduttore potrà ",e("i",null,"polarizzarsi per contatto"),".")),e(i.a,{title:"Polarizzazione per induzione"},e("p",null,'Se un corpo conduttore ha cariche "esterne" di un ',e(o.a,null,"certo segno")," vicino, esso avrà tutte le cariche del ",e(r.a,null,"segno opposto")," in equilibrio vicino alle cariche esterne, e tutte le cariche dello ",e(o.a,null,"stesso segno")," più lontano possibile da esse."),e("p",null,"Mettendo a terra il conduttore, nuove cariche del ",e(r.a,null,"segno opposto")," saranno attratte all'interno del corpo per equilibrare le cariche che si sono allontanate."),e("p",null,"Staccando il conduttore da terra e rimuovendo le cariche esterne, esso si ritroverà ",e(r.a,null,"caricato del segno opposto")," rispetto alle cariche esterne."))),e(t.a,{title:"Forza elettrica"},e(i.a,{title:"Legge di Coulomb"},e("p",null,"Due corpi carichi si attraggono tra loro con forza:"),e("p",null,e(n.b,null,Ol(me||(me=yl`\left | \vec{F}_{elettrica} \right | = \frac{-k \cdot q_1 \cdot q_2}{s^2}`)))),e("p",null,e(n.b,null,Ol(fe||(fe=yl`k`)))," è la ",e("i",null,"costante di Coulomb"),", e vale ",e(n.b,null,Ol(ve||(ve=yl`k = 8.99 \cdot 10^9 \frac{N \cdot m^2}{C^2}`))),".")),e(i.a,{title:"Permeabilità dello spazio vuoto"},e("p",null,"La costante ",e(n.b,null,Ol(_e||(_e=yl`k`)))," è in realtà dipendente da un altra costante, ",e(n.b,null,Ol(ge||(ge=yl`\epsilon_0`))),", la ",e("i",null,"permeabilità del vuoto"),"."),e("p",null,e(n.b,null,Ol(he||(he=yl`k = \frac{1}{4 \pi \cdot \epsilon_0}`)))),e("p",null,e(n.b,null,Ol(be||(be=yl`\left | \vec{F}_{elettrica} \right | = \frac{q_1 \cdot q_2}{4 \pi \cdot \epsilon_0 \cdot s^2}`))))),e(i.a,{title:"Campo elettrico"},e("p",null,"Misura che forza viene applicata in ogni punto su una carica unitaria:"),e("p",null,e(n.b,null,Ol(ze||(ze=yl`\vec{E} = \frac{\vec{F}_{elettrica}}{q} = \frac{-k \cdot q}{s^2}`))))),e(i.a,{title:"Flusso elettrico"},e("p",null,'È la differenza tra "quanto" campo elettrico ',e(o.a,null,"entra")," e quanto campo elettrico ",e(r.a,null,"esce")," da una certa area."),e("p",null,"In qualsiasi superficie chiusa, il flusso elettrico è uguale alla componente perpendicolare del campo elettrico moltiplicato per l'area."),e("p",null,e(n.b,null,Ol(Le||(Le=yl`\Phi_E = \vec{E} \cdot \vec{A}`)))),e("p",null,"Se il campo elettrico è uniforme, se ne può calcolare facilmente il valore:"),e("p",null,e(n.b,null,Ol(qe||(qe=yl`\Phi_E = \vec{E} \cdot \vec{A} = E_\perp \cdot A \cdot \cos(\alpha)`)))),e("p",null,e(u.a,null,"Circa. E' una specie di integrale..."))),e(i.a,{title:"Legge di Gauss per i campi elettrostatici"},e("p",null,"Il flusso elettrico è direttamente proporzionale alla carica presente all'interno della superficie."),e("p",null,e(n.b,null,Ol(Ee||(Ee=yl`\Phi_E = 4 \pi \cdot k \cdot q = \frac{q}{\epsilon_0}`)))),e("p",null,"Ovvero, i campi elettrostatici sono generati dalle cariche elettriche."))),e(t.a,{title:"Energia elettrica"},e(i.a,{title:"Energia potenziale elettrica"},e("p",null,"Un corpo carico vicino ad altre cariche possiede un'",e("i",null,"energia potenziale elettrica")," ",e(n.b,null,Ol(De||(De=yl`U_e`))),"."))),e(t.a,{title:"Circuiti elettrici"},e(i.a,{title:e("span",null,"Potenziale elettrico ",e("small",null,"(tensione)"))},e("p",null,"È il valore dell'energia potenziale elettrica per una carica unitaria."),e("p",null,e(n.b,null,Ol(Ae||(Ae=yl`V = \frac{U_e}{q}`)))),e("p",null,"La sua unità di misura è il Volt (",e(n.b,null,Ol(Fe||(Fe=yl`V`))),")."),e("p",null,"In una batteria è detto ",e("i",null,"forza elettromotrice"),", e corrisponde al lavoro compiuto da una batteria ideale per spostare una carica unitaria tra i due poli.")),e(i.a,{title:e("span",null,"Corrente elettrica ",e("small",null,"(intensità)"))},e("p",null,"Quanta carica passa attraverso un'area (perpendicolare al flusso) nel tempo."),e("p",null,e(n.b,null,Ol(Ce||(Ce=yl`I = \frac{\Delta q}{\Delta t}`)))),e("p",null,"Fintanto che c'è differenza di potenziale, ci sarà anche intensità non nulla."),e("p",null,"La sua unità di misura è l'Ampere (",e(n.b,null,Ol(Pe||(Pe=yl`A`))),").")),e(i.a,{title:e("span",null,"Corrente continua ",e("small",null,"(",e("abbr",{title:"Direct Current"},"DC"),")"))},e("p",null,"Quando in un circuito la direzione della corrente è costante.")),e(i.a,{title:e("span",null,"Corrente alternata ",e("small",null,"(",e("abbr",{title:"Alternate Current"},"AC"),")"))},e("p",null,"Quando in un circuito la direzione della corrente si alterna periodicamente.")),e(i.a,{title:"Potenza elettrica"},e("p",null,"Possiamo calcolare la potenza di un circuito:"),e("p",null,e(n.b,null,Ol(Ie||(Ie=yl`P = \frac{\Delta U_e}{\Delta t} = I \cdot \Delta V = I^2 \cdot R = \frac{(\Delta V)^2}{R}`)))))),e(t.a,{title:"Elementi di un circuito"},e(i.a,{title:"Resistore"},e("p",null,"Riduce l'intensità di corrente, e converte parte del potenziale in calore."),e("p",null,"Il potenziale utilizzato è pari a:"),e("p",null,e(n.b,null,Ol(Se||(Se=yl`V = R \cdot I`)))),e("p",null,"Dove ",e(n.b,null,Ol(we||(we=yl`R`)))," è una costante detta ",e("i",null,"resistenza")," con unità di misura Ohm (",e(n.b,null,Ol(ke||(ke=yl`\Omega`))),")."),e("p",null,"La resistenza di un conduttore vale:"),e("p",null,e(n.b,null,Ol(Ne||(Ne=yl`R = \rho \frac{L_{unghezza}}{A_{rea}}`)))),e("p",null,e(n.b,null,Ol(Be||(Be=yl`\rho`)))," è la ",e("i",null,"resistività")," del materiale, e varia in base alla temperatura:"),e("p",null,e(n.b,null,Ol(Te||(Te=yl`\rho = \rho_0 (1 + \alpha(T - T_0))`))))),e(i.a,{title:"Condensatore"},e("p",null,"Immagazzina potenziale elettrico, permettendo di riutilizzarla in seguito."),e("p",null,"Per farlo, cattura cariche ",e(o.a,null,"positive")," e ",e(r.a,null,"negative")," sulle sue due armature; perchè questo avvenga, deve essere compiuto lavoro."),e("p",null,"Ha una ",e("b",null,"capacità")," caratteristica, che in un condensatore a facce piane parallele è:"),e("p",null,e(n.b,null,Ol(Ve||(Ve=yl`C = \frac{q_{massima}}{\Delta V}`)))),e("p",null,"Condensatori di capacità maggiore immagazzinano più potenziale con meno carica."),e("p",null,"La capacità aumenta se viene messo qualcosa tra le armature:"),e("p",null,e(n.b,null,Ol(xe||(xe=yl`C_{nuova} = \kappa \cdot \frac{\epsilon_0 \cdot A}{s}`)))),e("p",null,"Dove ",e(n.b,null,Ol(ye||(ye=yl`\kappa`)))," è la ",e("i",null,"costante dielettrica relativa")," del materiale inserito, ",e(n.b,null,Ol(Oe||(Oe=yl`A`)))," l'area di una armatura e ",e(n.b,null,Ol(Re||(Re=yl`s`)))," la distanza tra le due armature."),e("p",null,"Se il campo elettrico creatosi tra le due armature supera la ",e("i",null,"rigidità dielettrica")," del condensatore, la carica immagazzinata viene persa e ha luogo un ",e("i",null,"breakdown"),"."),e("p",null,"La sua unità di misura è il Farad (",e(n.b,null,Ol(Me||(Me=yl`Fa`))),")")),e(i.a,{title:"Amperometro"},e("p",null,"Misura la corrente elettrica se messo in serie."),e("p",null,"(Funzionamento: ha una resistenza interna bassisima in modo da non influire significativamente sulla corrente.)")),e(i.a,{title:"Voltmetro"},e("p",null,"Misura la differenza di potenziale se messo in parallelo."),e("p",null,"(Funzionamento: ha una resistenza altissima in modo da non influire significativamente sulla tensione.)"))),e(t.a,{title:"Principi di Kirchhoff"},e(i.a,{title:"Legge dei nodi"},e("p",null,"Per nodo si intende un qualsiasi punto del circuito."),e("p",null,"Da un nodo entra ed esce la stessa corrente.")),e(i.a,{title:"Legge delle maglie"},e("p",null,"Per maglia si intende un qualsiasi percorso chiuso all'interno del circuito."),e("p",null,"In una maglia chiusa, la somma delle differenze di potenziale è 0."))),e(t.a,{title:"Serie e Parallelo"},e(i.a,{title:"Circuito in serie"},e("p",null,"Più parti di circuito sono ",e("i",null,"in serie")," se sono consecutive e senza biforcazioni."),e("p",null,"Parti di circuito in serie sono attraversate dalla stessa corrente.")),e(i.a,{title:"Circuito in parallelo"},e("p",null,"Più parti di circuito sono ",e("i",null,"in parallelo")," tra loro se hanno lo stesso punto di partenza e lo stesso punto di arrivo."),e("p",null,"Parti di circuito in parallelo hanno la stessa differenza di potenziale."))),e(t.a,{title:"Resistenze equivalenti"},e(i.a,{title:"Circuiti in serie"},e("p",null,"Nei circuiti in serie, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza della somma di tutte le quelle sostituite:"),e("p",null,e(n.b,null,Ol(Ue||(Ue=yl`R_{serie} = \sum_{i=1}^{n} R_i`))))),e(i.a,{title:"Circuiti in parallelo"},e("p",null,"Nei circuiti in parallelo, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza di:"),e("p",null,e(n.b,null,Ol(He||(He=yl`R_{parallelo} = \frac{1}{\sum_{i=1}^{n} \frac{1}{R_i}}`)))))),e(t.a,{title:"Condensatori equivalenti"},e(i.a,{title:"Circuiti in serie"},e("p",null,"Nei circuiti in serie, tutti i condensatori possono essere sostituiti con uno equivalente dalla capacità di:"),e("p",null,e(n.b,null,Ol(Qe||(Qe=yl`C_{serie} = \frac{1}{\sum_{i=1}^{n} \frac{1}{C_i}}`))))),e(i.a,{title:"Circuiti in parallelo"},e("p",null,"Nei circuiti in parallelo, tutte i condensatori possono essere sostituite con uno equivalente dalla capacità della somma di tutti quelli sostituiti:"),e("p",null,e(n.b,null,Ol(Ge||(Ge=yl`C_{parallelo} = \sum_{i=1}^{n} C_n`)))))),e(t.a,{title:"Magnetismo"},e(i.a,{title:"Permeabilità magnetica dello spazio vuoto"},e("p",null,"E' una costante fisica fondamentale che rappresenta quanto un materiale si magnetizza facilmente."),e("p",null,e(n.b,null,Ol(We||(We=yl`\mu_0 = 4 \pi \cdot 10^{-7} \frac{H}{m}`)))," (",e(n.b,null,Ol(je||(je=yl`\frac{N}{A^2}`))),")")),e(i.a,{title:"Campo magnetico"},e("p",null,"Come un campo elettrico, ma per i magneti."),e("p",null,"Il suo simbolo è ",e(n.b,null,Ol(Je||(Je=yl`B`))),", e la sua unità di misura è il Tesla (",e(n.b,null,"T"),").")),e(i.a,{title:"Flusso magnetico"},e("p",null,'È "quanto" campo magnetico ',e("b",null,"attraversa")," un percorso chiuso."),e("p",null,'Per qualsiasi percorso chiuso, il flusso magnetico è uguale alla somma di tutti i "sottoflussi" magnetici calcolati sui suoi lati.'),e("p",null,e(n.b,null,Ol(Ye||(Ye=yl`\Phi_{B_{i}} = \vec{B} \cdot \vec{L}_n = B \cdot L_i \cdot \sin(\alpha) = B_\parallel \cdot L_i`)))),e("p",null,e(n.b,null,Ol(Ke||(Ke=yl`\Phi_{B} = \sum_{i=0}^{n_{lati}} \Phi_{Bn}`)))),e("p",null,"La sua unità di misura è il Weber (",e(n.b,null,Ol(Xe||(Xe=yl`Wb = T \cdot m^2`))),").")),e(i.a,{title:"Legge di Gauss per i campi magnetici"},e("p",null,"Il flusso magnetico attraverso qualsiasi superficie chiusa è sempre nullo."),e("p",null,"Ovvero, non esistono monopoli magnetici.")),e(i.a,{title:"Legge di Ampère"},e("p",null,"L'intensità di corrente che attraversa un percorso chiuso è direttamente proporzionale al flusso magnetico dello stesso percorso."),e("p",null,e(n.b,null,Ol($e||($e=yl`\Phi_B = \mu_0 \cdot I`)))))),e(t.a,{title:"Forze magnetiche"},e(i.a,{title:e("span",null,"Forza magnetica su carica puntiforme ",e("small",null,"(Forza di Lorentz)"))},e("p",null,"I campi magnetici applicano una forza sulle cariche vicine:"),e("p",null,e(n.b,null,Ol(Ze||(Ze=yl`\vec{F}_{B} = q \cdot (\vec{v} \times \vec{B})`)))),e("p",null,"Dove ",e(n.b,null,Ol(el||(el=yl`\vec{B}`)))," è l'intensità del campo magnetico e ",e(n.b,null,Ol(ll||(ll=yl`\vec{v}`)))," la velocità della carica considerata."),e("p",null,"Si ha una forza massima se la velocità è perpendicolare al campo magnetico."),e("p",null,"In un campo magnetico uniforme, una velocità perpendicolare al campo porta alla creazione di un moto circolare uniforme.")),e(i.a,{title:"Forza magnetica in un filo"},e("p",null,"I campi magnetici influenzano ovviamente anche le cariche presenti in un conduttore:"),e("p",null,e(n.b,null,Ol(al||(al=yl`\vec{F}_{magnetica} = I \cdot (\vec{L} \times \vec{B})`)))," ",e("a",{href:"https://it.openprof.com/wb/forza_di_lorentz_su_un_filo_percorso_da_corrente?ch=360"},"[1]")),e("p",null,"Dove ",e(n.b,null,Ol(nl||(nl=yl`I`)))," è la corrente elettrica, ",e(n.b,null,Ol(il||(il=yl`\vec{L}`)))," è un vettore che punta nella direzione di scorrimento della corrente e ha come modulo la lunghezza del conduttore."))),e(t.a,{title:"Campi magnetici"},e(i.a,{title:"Campo magnetico in una spira"},e("p",null,"Una spira in cui passa corrente produce un campo magnetico perpendicolare al piano creato dalla spira.")),e(i.a,{title:"Campo magnetico di un solenoide"},e("p",null,"Un solenoide sono tante spire avvolte in modo da formare una specie di cilindro."),e("p",null,"All'interno del solenoide si crea un campo (quasi) uniforme:"),e("p",null,e(n.b,null,Ol(tl||(tl=yl`\left | \vec{B} \right | = \mu_0 \cdot I \cdot \frac{A_{vvolgimenti}}{L_{unghezzafilo}}`))))),e(i.a,{title:"Legge di Oersted"},e("p",null,e("i",null,"Caso particolare della ",e("a",{href:"https://it.wikipedia.org/wiki/Legge_di_Amp%C3%A8re"},"Legge di Ampère"),".")),e("p",null,"Il modulo del campo magnetico ",e(n.b,null,"B")," prodotto da un filo in cui passa una corrente continua ",e(n.b,null,"I")," alla distanza ",e(n.b,null,"s")," è:"),e("p",null,e(n.b,null,Ol(ol||(ol=yl`\left | \vec{B} \right | = \frac{\mu \cdot I}{2 \pi r}`)))),e("p",null,"Il campo magnetico così creato gira attorno al filo in senso antiorario."),e("p",null,"Due fili attraversati dalla ",e(o.a,null,"stessa corrente")," si attraggono, due fili attraversati da ",e(o.a,null,"corr"),e(r.a,null,"enti")," ",e(o.a,null,"opp"),e(r.a,null,"oste")," si respingono."))),e(t.a,{title:"Induzione elettromagnetica"},e(i.a,{title:"Forza elettromotrice indotta"},e("p",null,"Un conduttore perpendicolare ad un campo magnetico può ottenere una differenza di potenziale se messo in movimento in un direzione perpendicolare alla direzione del conduttore e del campo."),e("p",null,"La differenza di potenziale si crea a causa della forza magnetica, che fa spostare tutti gli elettroni verso un capo del conduttore."),e("p",null,"Essa vale:"),e("p",null,e(n.b,null,Ol(rl||(rl=yl`\Delta V_{indotta} = v \cdot B \cdot L`)))),e("p",null,"Dove ",e(n.b,null,"v")," è la velocità del conduttore, ",e(n.b,null,"B")," è l'intensità del campo magnetico ed ",e(n.b,null,"L")," è la lunghezza del conduttore.")),e(i.a,{title:"Flusso magnetico in una spira"},e("p",null,"In un campo magnetico ",e(n.b,null,Ol(ul||(ul=yl`B`)))," uniforme e perpendicolare al piano di una spira di area ",e(n.b,null,Ol(cl||(cl=yl`A`))),", il flusso magnetico si può determinare con la ",e("i",null,"Legge di Faraday-Neumann-Lenz"),":"),e("p",null,e(n.b,null,Ol(sl||(sl=yl`\Phi_B = \vec{B} \cdot \vec{A} = B \cdot A \cdot \cos(\alpha)`)))))),e(t.a,null,e(i.a,{title:"Legge di Faraday-Neumann-Lenz"},e("p",null,"Dice che la forza elettromotrice media indotta in un percorso dipende dalla variazione nel tempo del flusso magnetico nello stesso percorso."),e("p",null,e(n.b,null,Ol(pl||(pl=yl`\Delta V_{indotta} = - \frac{\Delta \Phi_B}{\Delta t}`)))),e("p",null,"Il meno è dovuto alla ",e("a",{href:"https://it.wikipedia.org/wiki/Legge_di_Lenz"},"Legge di Lenz"),", che specifica qualitativamente il verso della forza elettromotrice indotta.")),e(i.a,{title:"Faraday in un solenoide"},e("p",null,"In un solenoide, la forza elettromotrice indotta è uguale a:"),e("p",null,e(n.b,null,Ol(dl||(dl=yl`\Delta V_{indotta} = - \frac{N \cdot \Delta \Phi_{B_{spira}}}{\Delta t} = - \frac{N \cdot B \cdot A \cdot cos(\alpha)}{\Delta t}`)))),e("p",null,"Dove ",e(n.b,null,Ol(ml||(ml=yl`N`)))," è il numero delle spire del solenoide.")),e(i.a,{title:"Legge di Ampère-Maxwell"},e("p",null,"Correnti o campi elettrici variabili creano un campo magnetico."))),e(t.a,{title:"Elettromagnetismo"},e(i.a,{title:"Onde elettromagnetiche"},e("p",null,"Nel vuoto, il campo elettrico ",e(n.b,null,Ol(fl||(fl=yl`E`)))," e il campo magnetico ",e(n.b,null,Ol(vl||(vl=yl`B`)))," sono perpendicolari tra loro e la direzione di propagazione, e sono entrambe funzioni del tempo."),e("p",null,"Si dice quindi che sono ",e("i",null,"onde elettromagnetiche"),"."),e("p",null,"Esse sono legate dalla relazione:"),e("p",null,e(n.b,null,Ol(_l||(_l=yl`E = c \cdot B`)))),e("p",null,"Dove ",e(n.b,null,Ol(gl||(gl=yl`c`)))," è la velocità delle onde (luce) nel vuoto, e a sua volta è uguale a:"),e("p",null,e(n.b,null,Ol(hl||(hl=yl`c = \frac{1}{\sqrt{\epsilon_0 \cdot \mu_0}} = 3.00 \cdot 10^8 \frac{m}{s}`))))),e(i.a,{title:"Formula delle onde"},e("p",null,e(n.b,null,Ol(bl||(bl=yl`A(t) = A_{max} \cdot \sin \left ( \frac{2 \pi}{\lambda} - \omega t + \phi \right )`)))),e("p",null,"Dove ",e(n.b,null,Ol(zl||(zl=yl`A_{max}`)))," è l'ampiezza massima che può avere l'onda, ",e(n.b,null,Ol(Ll||(Ll=yl`\frac{2 \pi}{\lambda} = \left | \vec{k} \right |`)))," è il vettore d'onda, ",e(n.b,null,Ol(ql||(ql=yl`\omega`)))," la frequenza angolare e ",e(n.b,null,Ol(El||(El=yl`\phi`)))," la fase."))),e(t.a,{title:"Spettroscopia"},e(i.a,{title:"Emissione"},e("p",null,"I solidi, se portati ad alta temperatura, emettono luce con uno ",e("a",{href:"https://it.wikipedia.org/wiki/Spettro_continuo"},"spettro continuo"),"."),e("p",null,"I gas, invece, ad alta temperatura emettono luce solo con particolari lunghezze d'onda."),e("p",null,"In un gas di idrogeno, le lunghezze d'onda emesse sono ricavabili con:"),e("p",null,e(n.b,null,Ol(Dl||(Dl=yl`\frac{1}{\lambda} = R \left ( \frac{1}{4} - \frac{1}{n^2} \right )`)))),e("p",null,"Con ",e(n.b,null,Ol(Al||(Al=yl`R = 1.097 \cdot 10^7 \frac{1}{m}`))),", detta costante di Rydberg, e ",e(n.b,null,Ol(Fl||(Fl=yl`n`)))," un numero intero.")),e(i.a,{title:"Grandezza quantizzata"},e("p",null,"Una grandezza si dice quantizzata (o discreta) se può assumere solo determinati valori."),e("p",null,"Una grandezza si dice continua se può assumere qualsiasi valore e quindi se non è quantizzata."),e("p",null,"Energia, momento angolare e raggio sono quantizzati."),e("p",null,"Nota costante quantica è ",e(n.b,null,Ol(Cl||(Cl=yl`h`))),", la costante di Planck, ovvero il valore minimo possibile per la carica (talvolta espressa come ",e(n.b,null,Ol(Pl||(Pl=yl`\hbar = \left ( \frac{h}{2 \pi} \right )`))),"."))),e(t.a,null,e(i.a,{title:"Modello di Bohr"},e("p",null,"L'energia degli elettroni è quantizzata."),e("p",null,"Inoltre, per essi è valido che:"),e("p",null,e(n.b,null,Ol(Il||(Il=yl`m \cdot v_n \cdot 2 \pi \cdot r = n \cdot h`)))),e("p",null,"Ancora, il raggio delle orbite è uguale a:"),e("p",null,e(n.b,null,Ol(Sl||(Sl=yl`r_n = n^2 \cdot a_0 = n^2 \cdot \frac{\hbar}{m_{elettrone} \cdot k \cdot e^2} `)))),e("p",null,"Con ",e(n.b,null,Ol(wl||(wl=yl`a_0 = \left ( \frac{h}{2 \pi} \right )^2 \cdot \frac{1}{m_{elettrone} \cdot k \cdot e^2} = 5.29 \cdot 10^{-11} m`))),"."),e("p",null,"Infine, in ogni stato, l'energia è pari a:"),e("p",null,e(n.b,null,Ol(kl||(kl=yl`E_n = \frac{1}{n^2} \cdot E_1 = - \frac{1}{n^2} \cdot \frac{a_0^2}{2 \cdot m \cdot \hbar^4} = - \frac{1}{n^2} \cdot \frac{m_{elettrone} \cdot k^2 \cdot e^4}{2 \cdot \hbar^2}`)))),e("p",null,"Due elettroni non possono occupare lo stesso stato."),e("p",null,"Questo modello funziona solo per atomi con numero atomico basso. Atomi con molti elettroni hanno comportamenti diversi, descritti dal modello di"))),e(t.a,null,e(i.a,{title:"Nei solidi"},e("p",null,"Nei solidi, le lunghezze d'onda sono talmente tanto vicine da poter essere considerate una banda."),e("p",null,"Possono però comunque avere dei gap dovuti agli intervalli di energia non ammessi."))),e(t.a,{title:"Semiconduttori"},e(i.a,{title:"Semiconduttori"},e("p",null,e(u.a,null,"Refactor this")),e("p",null,"Se la banda di emissione con energia più alta di un corpo è assente o è separata da un gap dell'ordine di grandezza maggiore di ",e(n.b,null,Ol(Nl||(Nl=yl`10^1 eV`))),", allora il corpo è un isolante."),e("p",null,"Se invece la banda di emissione si sovrappone a un altra, allora il corpo è un conduttore."),e("p",null,"Se il gap è invece dell'ordine di grandezza di ",e(n.b,null,Ol(Bl||(Bl=yl`1 eV`))),", allora il corpo è un semiconduttore.")),e(i.a,{title:"Lacune"},e("p",null,"Legami in cui ",e(o.a,null,"mancano elettroni"),"."),e("p",null,e(r.a,null,"Elettroni")," di altri legami possono spostarsi per colmare le ",e(o.a,null,"lacune"),", creandone altre, e spostandole in direzione opposta a quella della corrente.")),e(i.a,{title:"Accettori e donori"},e("p",null,"Se si inserisce in un cristallo semiconduttore si inserisce un atomo con numero atomico diverso, si otterrà:"),e("ul",null,e("li",null,"Con numero atomico maggiore, un semiconduttore di ",e(r.a,null,"tipo N")," con ",e(r.a,null,"elettroni in eccesso")," liberi di scorrere."),e("li",null,"Con numero atomico minore, un semiconduttore di ",e(o.a,null,"tipo P")," con ",e(o.a,null,"lacune in eccesso")," libere di catturare elettroni da altri legami.")),e("p",null,"Maggiore impurezza porta a maggiore conduttività.")),e(i.a,{title:"Temperatura"},e("p",null,"Aumentando la temperatura di un semiconduttore si aumenta la conduttività, perchè eccita le particelle e favorisce il movimento di ",e(r.a,null,"elettroni")," e ",e(o.a,null,"lacune"),"."))),e(t.a,{title:e("span",null,"Ottica ",e("small",null,"(non l'abbiamo fatta)"))},e(i.a,{title:"Assorbimento e riflessione"},e("p",null,"I corpi possono assorbire o riflettere le onde elettromagnetiche che li colpiscono.")),e(i.a,{title:"Corpo nero"},e("p",null,"Un corpo nero è un corpo che assorbe tutte le onde elettromagnetiche che riceve senza rifletterne nessuna."),e("p",null,"Le onde assorbite vengono poi riemesse sotto forma di un onda di ",e(n.b,null,Ol(Tl||(Tl=yl`\lambda`)))," variabile in base alla temperatura."),e("p",null,e(n.b,null,Ol(Vl||(Vl=yl`\lambda_{max} \cdot T`)))," è costante.")),e(i.a,{title:"Teoria di Planck per il corpo nero"},e("p",null,"L'energia assorbita e emessa dai corpi neri è quantizzata.")),e(i.a,{title:"Fotone"},e("p",null,"Un onda magnetica con un quanto di energia è detta ",e("i",null,"fotone"),":"),e("p",null,e(n.b,null,Ol(xl||(xl=yl`E_{fotone} = h \cdot f`))))),e(i.a,{title:"Effetto fotoelettrico"},e("p",null,"A volte, i fotoni che colpiscono un metallo possono estrarvi degli elettroni e creare una differenza di potenziale."),e("p",null,"Perchè avvenga, la frequenza deve essere maggiore di una certa soglia."),e("p",null,"Il numero di elettroni estratti dipende dall'intensità dell'onda, mentre l'energia cinetica degli elettroni dipende dalla frequenza."),e("p",null,"Non c'è nessun ritardo tra l'assorbimento del fotone e l'estrazione di elettroni."))))))}}.call(this,a("hosL").h)},"4v1N":function(e,l,a){"use strict";(function(e){var n=a("T9fO"),i=a.n(n);l.a=function(l){return e("span",{class:i.a.minus},l.children)}}).call(this,a("hosL").h)},"8uYk":function(e){e.exports={box:"box__3cKyY",default:"default__v-emJ",red:"red__339Cz",orange:"orange__24_8v",yellow:"yellow__1Jo9W",lime:"lime__34yV5",cyan:"cyan__3RqLr",blue:"blue__13Wnj",magenta:"magenta__2tkzq"}},CfuJ:function(e,l,a){"use strict";(function(e){var n=a("U2NH"),i=a.n(n);a("hosL"),l.a=function(l){return 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de=function(){return n},n}function fe(){var n=ke(["left | \vec{F} \right | = g m"],["\\left | \\vec{F} \\right | = g m"]);return fe=function(){return n},n}function ve(){var n=ke(["g = 9.81 \frac{m}{s^2}"],["g = 9.81 \\frac{m}{s^2}"]);return ve=function(){return n},n}function me(){var n=ke(["left | \vec{F} \right | = g m"],["\\left | \\vec{F} \\right | = g m"]);return me=function(){return n},n}function _e(){var n=ke(["G = 6.67 cdot 10^{-11} \frac{N m^2}{{kg}^2}"],["G = 6.67 \\cdot 10^{-11} \\frac{N m^2}{{kg}^2}"]);return _e=function(){return n},n}function ge(){var n=ke(["left | \vec{F} \right | = G \frac{m_1 m_2}{s^2}"],["\\left | \\vec{F} \\right | = G \\frac{m_1 m_2}{s^2}"]);return ge=function(){return n},n}function he(){var n=ke(["\vec{F}_{21} = -\vec{F}_{12}"],["\\vec{F}_{21} = -\\vec{F}_{12}"]);return he=function(){return n},n}function be(){var n=ke(["Sigma \vec{F} = m \vec{a}"],["\\Sigma \\vec{F} = m \\vec{a}"]);return be=function(){return n},n}function ze(){var n=ke(["Sigma \vec{F} = 0 Longleftrightarrow Delta v = 0"],["\\Sigma \\vec{F} = 0 \\Longleftrightarrow \\Delta v = 0"]);return ze=function(){return n},n}function De(){var n=ke(["left | \vec{c} \right | = left | \vec{a} \right | cdot left | \vec{b} \right | cdot sin(alpha)"],["\\left | \\vec{c} \\right | = \\left | \\vec{a} \\right | \\cdot \\left | \\vec{b} \\right | \\cdot \\sin(\\alpha)"]);return De=function(){return n},n}function Le(){var n=ke(["\vec{c} = \vec{a} \times \vec{b}"],["\\vec{c} = \\vec{a} \\times \\vec{b}"]);return Le=function(){return n},n}function Ee(){var n=ke(["\vec{b}"],["\\vec{b}"]);return Ee=function(){return n},n}function qe(){var n=ke(["\vec{a}"],["\\vec{a}"]);return qe=function(){return n},n}function Fe(){var n=ke(["\vec{v} cdot \vec{w} = left | \vec{v} \right | left | \vec{w} \right | cos alpha"],["\\vec{v} \\cdot \\vec{w} = \\left | \\vec{v} \\right | \\left | \\vec{w} \\right | \\cos \\alpha"]);return Fe=function(){return n},n}function Ae(){var n=ke(["\vec{v} - \vec{w} = (\vec{v}_x - \vec{w}_x) + (\vec{v}_y - \vec{w}_y)"],["\\vec{v} - \\vec{w} = (\\vec{v}_x - \\vec{w}_x) + (\\vec{v}_y - \\vec{w}_y)"]);return Ae=function(){return n},n}function Pe(){var n=ke(["\vec{v} + \vec{w} = (\vec{v}_x + \vec{w}_x) + (\vec{v}_y + \vec{w}_y)"],["\\vec{v} + \\vec{w} = (\\vec{v}_x + \\vec{w}_x) + (\\vec{v}_y + \\vec{w}_y)"]);return Pe=function(){return n},n}function Ce(){var n=ke(["left | \vec{v}_y \right | = left | \vec{v} \right | cos alpha"],["\\left | \\vec{v}_y \\right | = \\left | \\vec{v} \\right | \\cos \\alpha"]);return Ce=function(){return n},n}function Ie(){var n=ke(["left | \vec{v}_x \right | = left | \vec{v} \right | sin alpha"],["\\left | \\vec{v}_x \\right | = \\left | \\vec{v} \\right | \\sin \\alpha"]);return Ie=function(){return n},n}function we(){var n=ke(["\vec{v} = \vec{v}_x + \vec{v}_y"],["\\vec{v} = \\vec{v}_x + \\vec{v}_y"]);return we=function(){return n},n}function ke(n,e){return e||(e=n.slice(0)),n.raw=e,n}t("hosL");var Be=t("Q7TX"),Se=t("imVn"),Ne=t("OPqz"),xe=t("CfuJ"),Ve=t("4v1N"),Te=t("RMzO"),ye=t("wQ73"),Re=t("PGF6"),Oe=String.raw;e.default=function(){return n(ye.a.Provider,{value:!1},n(Re.a.Provider,{value:Be.a.INLINE},n("div",null,n("h1",null,"Fisica"),n(Ne.a,{title:"Vettori"},n(Se.a,{title:"Componenti cartesiane"},n("p",null,"Usa le regole base della trigonometria:"),n("p",null,n(Be.b,null,Oe(we()))),n("p",null,n(Be.b,null,Oe(Ie()))),n("p",null,n(Be.b,null,Oe(Ce())))),n(Se.a,{title:"Somma"},n("p",null,"Scomponi in componenti, poi sommali:"),n("p",null,n(Be.b,null,Oe(Pe()))),n("p",null,"Produce il vettore risultante dall'applicazione della regola del parallelogramma.")),n(Se.a,{title:"Differenza"},n("p",null,"Alla fine è sempre una somma:"),n("p",null,n(Be.b,null,Oe(Ae()))),n("p",null,"Produce il vettore che parte da ",n(Be.b,null,"w")," e arriva a ",n(Be.b,null,"v"),".")),n(Se.a,{title:"Prodotto scalare"},n("p",null,"Si chiama scalare perchè il risultato è uno scalare, non un vettore."),n("p",null,n(Be.b,null,Oe(Fe()))),n("p",null,"Produce il modulo della proiezione di ",n(Be.b,null,Oe(qe()))," su ",n(Be.b,null,Oe(Ee())),".")),n(Se.a,{title:"Prodotto vettoriale"},n("p",null,"Si chiama vettoriale perchè il risultato è un altro vettore."),n("ul",null,n("li",null,n(Be.b,null,Oe(Le()))),n("li",null,n(Be.b,null,Oe(De()))),n("li",null,n("a",{href:"https://it.wikipedia.org/wiki/Regola_della_mano_destra"},"Regola della mano destra"))),n("p",null,"Non è commutativo!"))),n(Ne.a,{title:"Leggi di Newton"},n(Se.a,{title:"1ᵃ: Inerzia"},n("p",null,"Se un corpo puntiforme ha forza risultante nulla, allora la sua velocità non cambia."),n("p",null,n(Be.b,null,Oe(ze())))),n(Se.a,{title:"2ᵃ: Proporzionalità"},n("p",null,"La forza risultante di un corpo è direttamente proporzionale alla sua accelerazione, e la costante di proporzionalità è la ",n("i",null,"massa"),"."),n("p",null,n(Be.b,null,Oe(be())))),n(Se.a,{title:"3ᵃ: Azione e reazione"},n("p",null,"Due corpi esercitano forze uguali e opposte uno sull'altro."),n("p",null,n(Be.b,null,Oe(he()))))),n(Ne.a,{title:"Forza di gravità"},n(Se.a,{title:"Tra due corpi"},n("p",null,"Due corpi puntiformi si attirano uno verso l'altro con forza:"),n("p",null,n(Be.b,null,Oe(ge()))),n("p",null,n(Be.b,null,"G")," è la ",n("i",null,"costante di gravitazione universale")," e vale:"),n("p",null,n(Be.b,null,Oe(_e())))),n(Se.a,{title:"Verso la Terra"},n("p",null,"Se nel sistema di riferimento consideriamo la Terra ferma, allora un corpo è attratto verso la Terra con forza ",n("i",null,"peso")," uguale a:"),n("p",null,n(Be.b,null,Oe(me()))),n("p",null,n(Be.b,null,"g")," è la ",n("i",null,"costante di gravità")," della Terra, e vale:"),n("p",null,n(Be.b,null,Oe(ve())))),n(Se.a,{title:"Su pianeti diversi"},n("p",null,"Per pianeti diversi dalla Terra vale la stessa regola:"),n("p",null,n(Be.b,null,Oe(fe()))),n("p",null,"L'unica differenza è che cambia la ",n("i",null,"costante di gravità"),":"),n("p",null,n(Be.b,null,Oe(de()))),n("p",null,n(Be.b,null,Oe(pe()))))),n(Ne.a,{title:"Forze di contatto"},n(Se.a,{title:"Normale"},n("p",null,"Si oppone alle forze applicate alla superficie di contatto."),n("p",null,"Un libro appoggiato su un tavolo ha la ",n("b",null,"forza di gravità")," che lo attira verso il terreno e la ",n("b",null,"forza normale")," che lo trattiene dal cadere.")),n(Se.a,{title:"Attrito statico"},n("p",null,"Impedisce a un corpo di muoversi se non viene spinto da una forza che supera una certa soglia:"),n("p",null,n(Be.b,null,Oe(se())))),n(Se.a,{title:"Attrito dinamico"},n("p",null,"Rallenta i corpi che si stanno muovendo finchè essi non si fermano:"),n("p",null,n(Be.b,null,Oe(ce())))),n(Se.a,{title:"Tensione"},n("p",null,"E' forza trasmessa tra due estremi di una fune."),n("p",null,"Può essere redirezionata per mezzo di carrucole.")),n(Se.a,{title:"Elastica"},n("p",null,"Una molla cerca sempre di tornare alla sua posizione indeformata con forza:"),n("p",null,n(Be.b,null,Oe(ue()))),n("p",null,"(E' negativa perchè la forza è opposta a quella applicata per deformarla.)"))),n(Ne.a,{title:"Cinematica"},n(Se.a,{title:"Spostamento"},n("p",null,"È un vettore che indica la posizione di un corpo rispetto a un'origine."),n("p",null,n(Be.b,null,Oe(re())))),n(Se.a,{title:"Velocità"},n("p",null,"È un vettore che misura la variazione di posizione nel tempo."),n("p",null,n(Be.b,null,Oe(oe()))),n("p",null,"Se si considera un intervallo di tempo infinitesimale si dice ",n("i",null,"velocità istantanea"),":"),n("p",null,n(Be.b,null,Oe(ie())))),n(Se.a,{title:"Accelerazione"},n("p",null,"È un vettore che misura la variazione di velocità nel tempo."),n("p",null,n(Be.b,null,Oe(ae()))),n("p",null,"Se si considera un intervallo di tempo infinitesimale si dice ",n("i",null,"accelerazione istantanea"),":"),n("p",null,n(Be.b,null,Oe(le())))),n(Se.a,{title:n("span",null,"Quantità di moto ",n("small",null,"(momento lineare)"))},n("p",null,"La quantità di moto è una proprietà vettoriale dei corpi:"),n("p",null,n(Be.b,null,Oe(te()))),n("p",null,"Se la forza risultante è nulla, la quantità di moto non cambia."),n("p",null,n(Be.b,null,Oe(ee()))))),n(Ne.a,{title:"Moto rettilineo uniforme"},n(Se.a,{title:"Spostamento"},n("p",null,"La ",n("i",null,"legge oraria")," è:"),n("p",null,n(Be.b,null,Oe(ne())))),n(Se.a,{title:"Velocità"},n("p",null,"È costante:"),n("p",null,n(Be.b,null,Oe($n())))),n(Se.a,{title:"Accelerazione"},n("p",null,"La velocità non varia:"),n("p",null,n(Be.b,null,Oe(Zn())))),n(Se.a,{title:"Forze"},n("p",null,"Si applica la prima legge di Newton:"),n("p",null,n(Be.b,null,"f(t) = 0")))),n(Ne.a,{title:"Moto rettilineo uniformemente accelerato"},n(Se.a,{title:"Spostamento"},n("p",null,"La ",n("i",null,"legge oraria")," è:"),n("p",null,n(Be.b,null,Oe(Xn())))),n(Se.a,{title:"Velocità"},n("p",null,"È una retta:"),n("p",null,n(Be.b,null,Oe(Kn())))),n(Se.a,{title:"Accelerazione"},n("p",null,"È costante:"),n("p",null,n(Be.b,null,Oe(Yn())))),n(Se.a,{title:"Forze"},n("p",null,"Si applica la prima legge di Newton:"),n("p",null,n(Be.b,null,"f(t) = m a")))),n(Ne.a,{title:"Moto armonico semplice"},n(Se.a,{title:"Ampiezza"},n("p",null,"E' la distanza dal centro massima che raggiunge il corpo."),n("p",null,"(L'ampiezza di una sinusoide.)")),n(Se.a,{title:"Velocità angolare"},n("p",null,"Indica quanto in fretta cambia la posizione del corpo."),n("p",null,"Dipende dal periodo:"),n("p",null,n(Be.b,null,Oe(Jn())))),n(Se.a,{title:"Spostamento"},n("p",null,"E' una sinusoide:"),n("p",null,n(Be.b,null,Oe(jn())))),n(Se.a,{title:"Velocità"},n("p",null,"E' la sinusoide dello spostamento, sfasata di ",n(Be.b,null,Oe(Wn())),":"),n("p",null,n(Be.b,null,Oe(Gn())))),n(Se.a,{title:"Accelerazione"},n("p",null,"E' la sinusoide della velocità, sfasata di ",n(Be.b,null,Oe(Qn())),":"),n("p",null,n(Be.b,null,Oe(Mn())))),n(Se.a,{title:"Forze"},n("p",null,"Si applica la prima legge di Newton:"),n("p",null,n(Be.b,null,"f(t) = m a")))),n(Ne.a,{title:"Moti composti"},n(Se.a,{title:"Moto parabolico"},n("p",null,"Il moto parabolico è dato sommando un moto rettilineo uniforme sull'asse orizzontale e un moto rettilineo uniformemente accelerato sull'asse verticale.")),n(Se.a,{title:"Moto circolare uniforme"},n("p",null,"Il moto parabolico è dato sommando due moti armonici semplici: uno sull'asse X, e l'altro, sfasato di ",n(Be.b,null,Oe(Hn())),", sull'asse Y."))),n(Ne.a,{title:"Moto circolare uniforme"},n(Se.a,null,n("h3",null,"Velocità angolare"),n("p",null,"Quanto cambia la fase nel tempo."),n("p",null,n(Be.b,null,Oe(Un())))),n(Se.a,{title:"Fase"},n("p",null,"E' l'angolo percorso dal corpo rispetto alla posizione iniziale."),n("p",null,"Si indica con ",n(Be.b,null,Oe(On())),", e generalmente si usa in radianti.")),n(Se.a,{title:"Velocità"},n("p",null,"Si applicano le formule per la circonferenza:"),n("p",null,n(Be.b,null,Oe(Rn())))),n(Se.a,{title:"Accelerazione"},n("p",null,"Il corpo ha sempre un accelerazione verso il centro che gli impedisce di abbandonare il moto:"),n("p",null,n(Be.b,null,Oe(yn())))),n(Se.a,{title:"Forza centripeta"},n("p",null,"È verso il centro e si calcola con:"),n("p",null,n(Be.b,null,Oe(Tn()))))),n(Ne.a,{title:"Lavoro ed energia"},n(Se.a,{title:"Lavoro"},n("p",null,"E' compiuto da una forza che sposta un corpo."),n("p",null,n(Be.b,null,Oe(Vn()))),n("p",null,"(Se la forza non è parallela allo spostamento, il prodotto scalare ci fa considerare solo la componente parallela.)")),n(Se.a,{title:"Energia cinetica"},n("p",null,"Un corpo ha energia cinetica in ogni momento uguale a:"),n("p",null,n(Be.b,null,Oe(xn()))),n("p",null,"Se una forza effettua lavoro su un corpo, cambia la sua energia cinetica pari al lavoro effettuato:"),n("p",null,n(Be.b,null,Oe(Nn())))),n(Se.a,{title:"Energia potenziale gravitazionale"},n("p",null,"Un corpo ha energia potenziale in ogni momento pari a:"),n("p",null,n(Be.b,null,Oe(Sn()))),n("p",null,"(Con ",n(Be.b,null,"h")," uguale a un altezza scelta come punto di riferimento.)")),n(Se.a,{title:"Energia potenziale elastica"},n("p",null,"Una molla ha sempre energia potenziale elastica pari a:"),n("p",null,n(Be.b,null,Oe(Bn())))),n(Se.a,{title:"Forze conservative"},n("p",null,"Sono conservative le forze per le quali il lavoro compiuto non dipende dal percorso seguito per andare dalla partenza all'arrivo."),n("p",null,"Ad esempio, è conservativa la ",n("i",null,"forza di gravità"),", ma ",n("b",null,"non")," è conservativa la forza di attrito."),n("p",null,"Se in un sistema ci sono solo forze conservative, allora l'energia meccanica totale si conserva:"),n("p",null,n(Be.b,null,Oe(kn())))),n(Se.a,{title:"Potenza"},n("p",null,"È la velocità di trasferimento di energia:"),n("p",null,n(Be.b,null,Oe(wn()))))),n(Ne.a,{title:"Elettrostatica"},n(Se.a,{title:"Carica elettrica"},n("p",null,"È una proprietà dei corpi che può essere ",n(xe.a,null,"positiva")," o ",n(Ve.a,null,"negativa"),"."),n("p",null,"Si conserva: in un sistema chiuso la carica totale è costante."),n("p",null,"Esiste un'unità elementare: ",n(Be.b,null,Oe(In())),"."),n("p",null,"Cariche ",n(xe.a,null,"opp"),n(Ve.a,null,"oste")," si attraggono; cariche ",n(xe.a,null,"uguali")," si respingono.")),n(Se.a,{title:"Conduttori e isolanti"},n("p",null,"Più ",n("a",{href:"https://it.wikipedia.org/wiki/Ione"},"ioni")," ha un corpo, meglio la carica si muove attraverso di esso."),n("p",null,"I corpi in cui la carica si muove bene sono ",n("i",null,"conduttori"),", mentre quelli in cui si muove difficilmente sono ",n("i",null,"isolanti"),"."),n("p",null,n("i",null,"Il corpo umano è un buon conduttore.")))),n(Ne.a,{title:"Polarizzazione"},n(Se.a,{title:"Polarizzazione"},n("p",null,"E' possibile polarizzare un corpo per accumulare la carica di un segno in una certa zona."))),n(Ne.a,null,n(Se.a,{title:"Messa a terra"},n("p",null,"Se un corpo conduttore è in contatto con la Terra, le cariche su di esso saranno ",n("i",null,"equilibrate")," e il corpo diventerà elettricamente neutro (con stesso numero di ",n(xe.a,null,"cariche positive")," e ",n(Ve.a,null,"negative")," all'interno)."))),n(Ne.a,null,n(Se.a,{title:"Polarizzazione per strofinio"},n("p",null,"Strofinando tra loro due corpi isolanti, essi si ",n("i",null,"polarizzeranno per strofinio"),".")),n(Se.a,{title:"Polarizzazione per contatto"},n("p",null,"Toccando un conduttore con un corpo carico, il conduttore potrà ",n("i",null,"polarizzarsi per contatto"),".")),n(Se.a,{title:"Polarizzazione per induzione"},n("p",null,'Se un corpo conduttore ha cariche "esterne" di un ',n(xe.a,null,"certo segno")," vicino, esso avrà tutte le cariche del ",n(Ve.a,null,"segno opposto")," in equilibrio vicino alle cariche esterne, e tutte le cariche dello ",n(xe.a,null,"stesso segno")," più lontano possibile da esse."),n("p",null,"Mettendo a terra il conduttore, nuove cariche del ",n(Ve.a,null,"segno opposto")," saranno attratte all'interno del corpo per equilibrare le cariche che si sono allontanate."),n("p",null,"Staccando il conduttore da terra e rimuovendo le cariche esterne, esso si ritroverà ",n(Ve.a,null,"caricato del segno opposto")," rispetto alle cariche esterne."))),n(Ne.a,{title:"Forza elettrica"},n(Se.a,{title:"Legge di Coulomb"},n("p",null,"Due corpi carichi si attraggono tra loro con forza:"),n("p",null,n(Be.b,null,Oe(Cn()))),n("p",null,n(Be.b,null,Oe(Pn()))," è la ",n("i",null,"costante di Coulomb"),", e vale ",n(Be.b,null,Oe(An())),".")),n(Se.a,{title:"Permeabilità dello spazio vuoto"},n("p",null,"La costante ",n(Be.b,null,Oe(Fn()))," è in realtà dipendente da un altra costante, ",n(Be.b,null,Oe(qn())),", la ",n("i",null,"permeabilità del vuoto"),"."),n("p",null,n(Be.b,null,Oe(En()))),n("p",null,n(Be.b,null,Oe(Ln())))),n(Se.a,{title:"Campo elettrico"},n("p",null,"Misura che forza viene applicata in ogni punto su una carica unitaria:"),n("p",null,n(Be.b,null,Oe(Dn())))),n(Se.a,{title:"Flusso elettrico"},n("p",null,'È la differenza tra "quanto" campo elettrico ',n(xe.a,null,"entra")," e quanto campo elettrico ",n(Ve.a,null,"esce")," da una certa area."),n("p",null,"In qualsiasi superficie chiusa, il flusso elettrico è uguale alla componente perpendicolare del campo elettrico moltiplicato per l'area."),n("p",null,n(Be.b,null,Oe(zn()))),n("p",null,"Se il campo elettrico è uniforme, se ne può calcolare facilmente il valore:"),n("p",null,n(Be.b,null,Oe(bn()))),n("p",null,n(Te.a,null,"Circa. E' una specie di integrale..."))),n(Se.a,{title:"Legge di Gauss per i campi elettrostatici"},n("p",null,"Il flusso elettrico è direttamente proporzionale alla carica presente all'interno della superficie."),n("p",null,n(Be.b,null,Oe(hn()))),n("p",null,"Ovvero, i campi elettrostatici sono generati dalle cariche elettriche."))),n(Ne.a,{title:"Energia elettrica"},n(Se.a,{title:"Energia potenziale elettrica"},n("p",null,"Un corpo carico vicino ad altre cariche possiede un'",n("i",null,"energia potenziale elettrica")," ",n(Be.b,null,Oe(gn())),"."))),n(Ne.a,{title:"Circuiti elettrici"},n(Se.a,{title:n("span",null,"Potenziale elettrico ",n("small",null,"(tensione)"))},n("p",null,"È il valore dell'energia potenziale elettrica per una carica unitaria."),n("p",null,n(Be.b,null,Oe(_n()))),n("p",null,"La sua unità di misura è il Volt (",n(Be.b,null,Oe(mn())),")."),n("p",null,"In una batteria è detto ",n("i",null,"forza elettromotrice"),", e corrisponde al lavoro compiuto da una batteria ideale per spostare una carica unitaria tra i due poli.")),n(Se.a,{title:n("span",null,"Corrente elettrica ",n("small",null,"(intensità)"))},n("p",null,"Quanta carica passa attraverso un'area (perpendicolare al flusso) nel tempo."),n("p",null,n(Be.b,null,Oe(vn()))),n("p",null,"Fintanto che c'è differenza di potenziale, ci sarà anche intensità non nulla."),n("p",null,"La sua unità di misura è l'Ampere (",n(Be.b,null,Oe(fn())),").")),n(Se.a,{title:n("span",null,"Corrente continua ",n("small",null,"(",n("abbr",{title:"Direct Current"},"DC"),")"))},n("p",null,"Quando in un circuito la direzione della corrente è costante.")),n(Se.a,{title:n("span",null,"Corrente alternata ",n("small",null,"(",n("abbr",{title:"Alternate Current"},"AC"),")"))},n("p",null,"Quando in un circuito la direzione della corrente si alterna periodicamente.")),n(Se.a,{title:"Potenza elettrica"},n("p",null,"Possiamo calcolare la potenza di un circuito:"),n("p",null,n(Be.b,null,Oe(dn()))))),n(Ne.a,{title:"Elementi di un circuito"},n(Se.a,{title:"Resistore"},n("p",null,"Riduce l'intensità di corrente, e converte parte del potenziale in calore."),n("p",null,"Il potenziale utilizzato è pari a:"),n("p",null,n(Be.b,null,Oe(pn()))),n("p",null,"Dove ",n(Be.b,null,Oe(sn()))," è una costante detta ",n("i",null,"resistenza")," con unità di misura Ohm (",n(Be.b,null,Oe(cn())),")."),n("p",null,"La resistenza di un conduttore vale:"),n("p",null,n(Be.b,null,Oe(un()))),n("p",null,n(Be.b,null,Oe(rn()))," è la ",n("i",null,"resistività")," del materiale, e varia in base alla temperatura:"),n("p",null,n(Be.b,null,Oe(on())))),n(Se.a,{title:"Condensatore"},n("p",null,"Immagazzina potenziale elettrico, permettendo di riutilizzarla in seguito."),n("p",null,"Per farlo, cattura cariche ",n(xe.a,null,"positive")," e ",n(Ve.a,null,"negative")," sulle sue due armature; perchè questo avvenga, deve essere compiuto lavoro."),n("p",null,"Ha una ",n("b",null,"capacità")," caratteristica, che in un condensatore a facce piane parallele è:"),n("p",null,n(Be.b,null,Oe(an()))),n("p",null,"Condensatori di capacità maggiore immagazzinano più potenziale con meno carica."),n("p",null,"La capacità aumenta se viene messo qualcosa tra le armature:"),n("p",null,n(Be.b,null,Oe(ln()))),n("p",null,"Dove ",n(Be.b,null,Oe(tn()))," è la ",n("i",null,"costante dielettrica relativa")," del materiale inserito, ",n(Be.b,null,Oe(en()))," l'area di una armatura e ",n(Be.b,null,Oe(nn()))," la distanza tra le due armature."),n("p",null,"Se il campo elettrico creatosi tra le due armature supera la ",n("i",null,"rigidità dielettrica")," del condensatore, la carica immagazzinata viene persa e ha luogo un ",n("i",null,"breakdown"),"."),n("p",null,"La sua unità di misura è il Farad (",n(Be.b,null,Oe($())),")")),n(Se.a,{title:"Amperometro"},n("p",null,"Misura la corrente elettrica se messo in serie."),n("p",null,"(Funzionamento: ha una resistenza interna bassisima in modo da non influire significativamente sulla corrente.)")),n(Se.a,{title:"Voltmetro"},n("p",null,"Misura la differenza di potenziale se messo in parallelo."),n("p",null,"(Funzionamento: ha una resistenza altissima in modo da non influire significativamente sulla tensione.)"))),n(Ne.a,{title:"Principi di Kirchhoff"},n(Se.a,{title:"Legge dei nodi"},n("p",null,"Per nodo si intende un qualsiasi punto del circuito."),n("p",null,"Da un nodo entra ed esce la stessa corrente.")),n(Se.a,{title:"Legge delle maglie"},n("p",null,"Per maglia si intende un qualsiasi percorso chiuso all'interno del circuito."),n("p",null,"In una maglia chiusa, la somma delle differenze di potenziale è 0."))),n(Ne.a,{title:"Serie e Parallelo"},n(Se.a,{title:"Circuito in serie"},n("p",null,"Più parti di circuito sono ",n("i",null,"in serie")," se sono consecutive e senza biforcazioni."),n("p",null,"Parti di circuito in serie sono attraversate dalla stessa corrente.")),n(Se.a,{title:"Circuito in parallelo"},n("p",null,"Più parti di circuito sono ",n("i",null,"in parallelo")," tra loro se hanno lo stesso punto di partenza e lo stesso punto di arrivo."),n("p",null,"Parti di circuito in parallelo hanno la stessa differenza di potenziale."))),n(Ne.a,{title:"Resistenze equivalenti"},n(Se.a,{title:"Circuiti in serie"},n("p",null,"Nei circuiti in serie, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza della somma di tutte le quelle sostituite:"),n("p",null,n(Be.b,null,Oe(Z())))),n(Se.a,{title:"Circuiti in parallelo"},n("p",null,"Nei circuiti in parallelo, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza di:"),n("p",null,n(Be.b,null,Oe(X()))))),n(Ne.a,{title:"Condensatori equivalenti"},n(Se.a,{title:"Circuiti in serie"},n("p",null,"Nei circuiti in serie, tutti i condensatori possono essere sostituiti con uno equivalente dalla capacità di:"),n("p",null,n(Be.b,null,Oe(K())))),n(Se.a,{title:"Circuiti in parallelo"},n("p",null,"Nei circuiti in parallelo, tutte i condensatori possono essere sostituite con uno equivalente dalla capacità della somma di tutti quelli sostituiti:"),n("p",null,n(Be.b,null,Oe(Y()))))),n(Ne.a,{title:"Magnetismo"},n(Se.a,{title:"Permeabilità magnetica dello spazio vuoto"},n("p",null,"E' una costante fisica fondamentale che rappresenta quanto un materiale si magnetizza facilmente."),n("p",null,n(Be.b,null,Oe(J()))," (",n(Be.b,null,Oe(j())),")")),n(Se.a,{title:"Campo magnetico"},n("p",null,"Come un campo elettrico, ma per i magneti."),n("p",null,"Il suo simbolo è ",n(Be.b,null,Oe(W())),", e la sua unità di misura è il Tesla (",n(Be.b,null,"T"),").")),n(Se.a,{title:"Flusso magnetico"},n("p",null,'È "quanto" campo magnetico ',n("b",null,"attraversa")," un percorso chiuso."),n("p",null,'Per qualsiasi percorso chiuso, il flusso magnetico è uguale alla somma di tutti i "sottoflussi" magnetici calcolati sui suoi lati.'),n("p",null,n(Be.b,null,Oe(G()))),n("p",null,n(Be.b,null,Oe(Q()))),n("p",null,"La sua unità di misura è il Weber (",n(Be.b,null,Oe(M())),").")),n(Se.a,{title:"Legge di Gauss per i campi magnetici"},n("p",null,"Il flusso magnetico attraverso qualsiasi superficie chiusa è sempre nullo."),n("p",null,"Ovvero, non esistono monopoli magnetici.")),n(Se.a,{title:"Legge di Ampère"},n("p",null,"L'intensità di corrente che attraversa un percorso chiuso è direttamente proporzionale al flusso magnetico dello stesso percorso."),n("p",null,n(Be.b,null,Oe(H()))))),n(Ne.a,{title:"Forze magnetiche"},n(Se.a,{title:n("span",null,"Forza magnetica su carica puntiforme ",n("small",null,"(Forza di Lorentz)"))},n("p",null,"I campi magnetici applicano una forza sulle cariche vicine:"),n("p",null,n(Be.b,null,Oe(U()))),n("p",null,"Dove ",n(Be.b,null,Oe(O()))," è l'intensità del campo magnetico e ",n(Be.b,null,Oe(R()))," la velocità della carica considerata."),n("p",null,"Si ha una forza massima se la velocità è perpendicolare al campo magnetico."),n("p",null,"In un campo magnetico uniforme, una velocità perpendicolare al campo porta alla creazione di un moto circolare uniforme.")),n(Se.a,{title:"Forza magnetica in un filo"},n("p",null,"I campi magnetici influenzano ovviamente anche le cariche presenti in un conduttore:"),n("p",null,n(Be.b,null,Oe(y()))," ",n("a",{href:"https://it.openprof.com/wb/forza_di_lorentz_su_un_filo_percorso_da_corrente?ch=360"},"[1]")),n("p",null,"Dove ",n(Be.b,null,Oe(T()))," è la corrente elettrica, ",n(Be.b,null,Oe(V()))," è un vettore che punta nella direzione di scorrimento della corrente e ha come modulo la lunghezza del conduttore."))),n(Ne.a,{title:"Campi magnetici"},n(Se.a,{title:"Campo magnetico in una spira"},n("p",null,"Una spira in cui passa corrente produce un campo magnetico perpendicolare al piano creato dalla spira.")),n(Se.a,{title:"Campo magnetico di un solenoide"},n("p",null,"Un solenoide sono tante spire avvolte in modo da formare una specie di cilindro."),n("p",null,"All'interno del solenoide si crea un campo (quasi) uniforme:"),n("p",null,n(Be.b,null,Oe(x())))),n(Se.a,{title:"Legge di Oersted"},n("p",null,n("i",null,"Caso particolare della ",n("a",{href:"https://it.wikipedia.org/wiki/Legge_di_Amp%C3%A8re"},"Legge di Ampère"),".")),n("p",null,"Il modulo del campo magnetico ",n(Be.b,null,"B")," prodotto da un filo in cui passa una corrente continua ",n(Be.b,null,"I")," alla distanza ",n(Be.b,null,"s")," è:"),n("p",null,n(Be.b,null,Oe(N()))),n("p",null,"Il campo magnetico così creato gira attorno al filo in senso antiorario."),n("p",null,"Due fili attraversati dalla ",n(xe.a,null,"stessa corrente")," si attraggono, due fili attraversati da ",n(xe.a,null,"corr"),n(Ve.a,null,"enti")," ",n(xe.a,null,"opp"),n(Ve.a,null,"oste")," si respingono."))),n(Ne.a,{title:"Induzione elettromagnetica"},n(Se.a,{title:"Forza elettromotrice indotta"},n("p",null,"Un conduttore perpendicolare ad un campo magnetico può ottenere una differenza di potenziale se messo in movimento in un direzione perpendicolare alla direzione del conduttore e del campo."),n("p",null,"La differenza di potenziale si crea a causa della forza magnetica, che fa spostare tutti gli elettroni verso un capo del conduttore."),n("p",null,"Essa vale:"),n("p",null,n(Be.b,null,Oe(S()))),n("p",null,"Dove ",n(Be.b,null,"v")," è la velocità del conduttore, ",n(Be.b,null,"B")," è l'intensità del campo magnetico ed ",n(Be.b,null,"L")," è la lunghezza del conduttore.")),n(Se.a,{title:"Flusso magnetico in una spira"},n("p",null,"In un campo magnetico ",n(Be.b,null,Oe(B()))," uniforme e perpendicolare al piano di una spira di area ",n(Be.b,null,Oe(k())),", il flusso magnetico si può determinare con la ",n("i",null,"Legge di Faraday-Neumann-Lenz"),":"),n("p",null,n(Be.b,null,Oe(w()))))),n(Ne.a,null,n(Se.a,{title:"Legge di Faraday-Neumann-Lenz"},n("p",null,"Dice che la forza elettromotrice media indotta in un percorso dipende dalla variazione nel tempo del flusso magnetico nello stesso percorso."),n("p",null,n(Be.b,null,Oe(I()))),n("p",null,"Il meno è dovuto alla ",n("a",{href:"https://it.wikipedia.org/wiki/Legge_di_Lenz"},"Legge di Lenz"),", che specifica qualitativamente il verso della forza elettromotrice indotta.")),n(Se.a,{title:"Faraday in un solenoide"},n("p",null,"In un solenoide, la forza elettromotrice indotta è uguale a:"),n("p",null,n(Be.b,null,Oe(C()))),n("p",null,"Dove ",n(Be.b,null,Oe(P()))," è il numero delle spire del solenoide.")),n(Se.a,{title:"Legge di Ampère-Maxwell"},n("p",null,"Correnti o campi elettrici variabili creano un campo magnetico."))),n(Ne.a,{title:"Elettromagnetismo"},n(Se.a,{title:"Onde elettromagnetiche"},n("p",null,"Nel vuoto, il campo elettrico ",n(Be.b,null,Oe(A()))," e il campo magnetico ",n(Be.b,null,Oe(F()))," sono perpendicolari tra loro e la direzione di propagazione, e sono entrambe funzioni del tempo."),n("p",null,"Si dice quindi che sono ",n("i",null,"onde elettromagnetiche"),"."),n("p",null,"Esse sono legate dalla relazione:"),n("p",null,n(Be.b,null,Oe(q()))),n("p",null,"Dove ",n(Be.b,null,Oe(E()))," è la velocità delle onde (luce) nel vuoto, e a sua volta è uguale a:"),n("p",null,n(Be.b,null,Oe(L())))),n(Se.a,{title:"Formula delle onde"},n("p",null,n(Be.b,null,Oe(D()))),n("p",null,"Dove ",n(Be.b,null,Oe(z()))," è l'ampiezza massima che può avere l'onda, ",n(Be.b,null,Oe(b()))," è il vettore d'onda, ",n(Be.b,null,Oe(h()))," la frequenza angolare e ",n(Be.b,null,Oe(g()))," la fase."))),n(Ne.a,{title:"Spettroscopia"},n(Se.a,{title:"Emissione"},n("p",null,"I solidi, se portati ad alta temperatura, emettono luce con uno ",n("a",{href:"https://it.wikipedia.org/wiki/Spettro_continuo"},"spettro continuo"),"."),n("p",null,"I gas, invece, ad alta temperatura emettono luce solo con particolari lunghezze d'onda."),n("p",null,"In un gas di idrogeno, le lunghezze d'onda emesse sono ricavabili con:"),n("p",null,n(Be.b,null,Oe(_()))),n("p",null,"Con ",n(Be.b,null,Oe(m())),", detta costante di Rydberg, e ",n(Be.b,null,Oe(v()))," un numero intero.")),n(Se.a,{title:"Grandezza quantizzata"},n("p",null,"Una grandezza si dice quantizzata (o discreta) se può assumere solo determinati valori."),n("p",null,"Una grandezza si dice continua se può assumere qualsiasi valore e quindi se non è quantizzata."),n("p",null,"Energia, momento angolare e raggio sono quantizzati."),n("p",null,"Nota costante quantica è ",n(Be.b,null,Oe(f())),", la costante di Planck, ovvero il valore minimo possibile per la carica (talvolta espressa come ",n(Be.b,null,Oe(d())),"."))),n(Ne.a,null,n(Se.a,{title:"Modello di Bohr"},n("p",null,"L'energia degli elettroni è quantizzata."),n("p",null,"Inoltre, per essi è valido che:"),n("p",null,n(Be.b,null,Oe(p()))),n("p",null,"Ancora, il raggio delle orbite è uguale a:"),n("p",null,n(Be.b,null,Oe(s()))),n("p",null,"Con ",n(Be.b,null,Oe(c())),"."),n("p",null,"Infine, in ogni stato, l'energia è pari a:"),n("p",null,n(Be.b,null,Oe(u()))),n("p",null,"Due elettroni non possono occupare lo stesso stato."),n("p",null,"Questo modello funziona solo per atomi con numero atomico basso. Atomi con molti elettroni hanno comportamenti diversi, descritti dal modello di"))),n(Ne.a,null,n(Se.a,{title:"Nei solidi"},n("p",null,"Nei solidi, le lunghezze d'onda sono talmente tanto vicine da poter essere considerate una banda."),n("p",null,"Possono però comunque avere dei gap dovuti agli intervalli di energia non ammessi."))),n(Ne.a,{title:"Semiconduttori"},n(Se.a,{title:"Semiconduttori"},n("p",null,n(Te.a,null,"Refactor this")),n("p",null,"Se la banda di emissione con energia più alta di un corpo è assente o è separata da un gap dell'ordine di grandezza maggiore di ",n(Be.b,null,Oe(r())),", allora il corpo è un isolante."),n("p",null,"Se invece la banda di emissione si sovrappone a un altra, allora il corpo è un conduttore."),n("p",null,"Se il gap è invece dell'ordine di grandezza di ",n(Be.b,null,Oe(o())),", allora il corpo è un semiconduttore.")),n(Se.a,{title:"Lacune"},n("p",null,"Legami in cui ",n(xe.a,null,"mancano elettroni"),"."),n("p",null,n(Ve.a,null,"Elettroni")," di altri legami possono spostarsi per colmare le ",n(xe.a,null,"lacune"),", creandone altre, e spostandole in direzione opposta a quella della corrente.")),n(Se.a,{title:"Accettori e donori"},n("p",null,"Se si inserisce in un cristallo semiconduttore si inserisce un atomo con numero atomico diverso, si otterrà:"),n("ul",null,n("li",null,"Con numero atomico maggiore, un semiconduttore di ",n(Ve.a,null,"tipo N")," con ",n(Ve.a,null,"elettroni in eccesso")," liberi di scorrere."),n("li",null,"Con numero atomico minore, un semiconduttore di ",n(xe.a,null,"tipo P")," con ",n(xe.a,null,"lacune in eccesso")," libere di catturare elettroni da altri legami.")),n("p",null,"Maggiore impurezza porta a maggiore conduttività.")),n(Se.a,{title:"Temperatura"},n("p",null,"Aumentando la temperatura di un semiconduttore si aumenta la conduttività, perchè eccita le particelle e favorisce il movimento di ",n(Ve.a,null,"elettroni")," e ",n(xe.a,null,"lacune"),"."))),n(Ne.a,{title:n("span",null,"Ottica ",n("small",null,"(non l'abbiamo fatta)"))},n(Se.a,{title:"Assorbimento e riflessione"},n("p",null,"I corpi possono assorbire o riflettere le onde elettromagnetiche che li colpiscono.")),n(Se.a,{title:"Corpo nero"},n("p",null,"Un corpo nero è un corpo che assorbe tutte le onde elettromagnetiche che riceve senza rifletterne nessuna."),n("p",null,"Le onde assorbite vengono poi riemesse sotto forma di un onda di ",n(Be.b,null,Oe(i()))," variabile in base alla temperatura."),n("p",null,n(Be.b,null,Oe(a()))," è costante.")),n(Se.a,{title:"Teoria di Planck per il corpo nero"},n("p",null,"L'energia assorbita e emessa dai corpi neri è quantizzata.")),n(Se.a,{title:"Fotone"},n("p",null,"Un onda magnetica con un quanto di energia è detta ",n("i",null,"fotone"),":"),n("p",null,n(Be.b,null,Oe(l())))),n(Se.a,{title:"Effetto fotoelettrico"},n("p",null,"A volte, i fotoni che colpiscono un metallo possono estrarvi degli elettroni e creare una differenza di potenziale."),n("p",null,"Perchè avvenga, la frequenza deve essere maggiore di una certa soglia."),n("p",null,"Il numero di elettroni estratti dipende dall'intensità dell'onda, mentre l'energia cinetica degli elettroni dipende dalla frequenza."),n("p",null,"Non c'è nessun ritardo tra l'assorbimento del fotone e l'estrazione di elettroni."))))))}}.call(this,t("hosL").h)},"4v1N":function(n,e,t){"use strict";(function(n){var l=t("T9fO"),a=t.n(l);e.a=function(e){return n("span",{class:a.a.minus},e.children)}}).call(this,t("hosL").h)},"8uYk":function(n){n.exports={box:"box__3cKyY",default:"default__v-emJ",red:"red__339Cz",orange:"orange__24_8v",yellow:"yellow__1Jo9W",lime:"lime__34yV5",cyan:"cyan__3RqLr",blue:"blue__13Wnj",magenta:"magenta__2tkzq"}},CfuJ:function(n,e,t){"use strict";(function(n){var l=t("U2NH"),a=t.n(l);t("hosL");e.a=function(e){return 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Longleftrightarrow Delta \vec{p} = 0"],["\\Sigma \\vec{F} = 0 \\Longleftrightarrow \\Delta \\vec{p} = 0"]);return ee=function(){return n},n}function te(){var n=ke(["\vec{p} = m \vec{v}"],["\\vec{p} = m \\vec{v}"]);return te=function(){return n},n}function le(){var n=ke(["\vec{a} = lim_{Delta v \to 0} \frac{Delta \vec{v}}{Delta t} = \frac{d \vec{v}}{d t} = \frac{d^2 \vec{s}}{d t^2}"],["\\vec{a} = \\lim_{\\Delta v \\to 0} \\frac{\\Delta \\vec{v}}{\\Delta t} = \\frac{d \\vec{v}}{d t} = \\frac{d^2 \\vec{s}}{d t^2}"]);return le=function(){return n},n}function ae(){var n=ke(["\vec{a} = \frac{Delta \vec{v}}{Delta t}"],["\\vec{a} = \\frac{\\Delta \\vec{v}}{\\Delta t}"]);return ae=function(){return n},n}function ie(){var n=ke(["\vec{v} = lim_{Delta t \to 0} \frac{Delta \vec{s}}{Delta t} = \frac{d \vec{s}}{dt}"],["\\vec{v} = \\lim_{\\Delta t \\to 0} \\frac{\\Delta \\vec{s}}{\\Delta t} = \\frac{d \\vec{s}}{dt}"]);return ie=function(){return n},n}function oe(){var n=ke(["\vec{v} = \frac{Delta 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de=function(){return n},n}function fe(){var n=ke(["left | \vec{F} \right | = g m"],["\\left | \\vec{F} \\right | = g m"]);return fe=function(){return n},n}function ve(){var n=ke(["g = 9.81 \frac{m}{s^2}"],["g = 9.81 \\frac{m}{s^2}"]);return ve=function(){return n},n}function me(){var n=ke(["left | \vec{F} \right | = g m"],["\\left | \\vec{F} \\right | = g m"]);return me=function(){return n},n}function _e(){var n=ke(["G = 6.67 cdot 10^{-11} \frac{N m^2}{{kg}^2}"],["G = 6.67 \\cdot 10^{-11} \\frac{N m^2}{{kg}^2}"]);return _e=function(){return n},n}function ge(){var n=ke(["left | \vec{F} \right | = G \frac{m_1 m_2}{s^2}"],["\\left | \\vec{F} \\right | = G \\frac{m_1 m_2}{s^2}"]);return ge=function(){return n},n}function he(){var n=ke(["\vec{F}_{21} = -\vec{F}_{12}"],["\\vec{F}_{21} = -\\vec{F}_{12}"]);return he=function(){return n},n}function be(){var n=ke(["Sigma \vec{F} = m \vec{a}"],["\\Sigma \\vec{F} = m \\vec{a}"]);return be=function(){return n},n}function ze(){var n=ke(["Sigma 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(\vec{v}_x - \vec{w}_x) + (\vec{v}_y - \vec{w}_y)"],["\\vec{v} - \\vec{w} = (\\vec{v}_x - \\vec{w}_x) + (\\vec{v}_y - \\vec{w}_y)"]);return Ae=function(){return n},n}function Pe(){var n=ke(["\vec{v} + \vec{w} = (\vec{v}_x + \vec{w}_x) + (\vec{v}_y + \vec{w}_y)"],["\\vec{v} + \\vec{w} = (\\vec{v}_x + \\vec{w}_x) + (\\vec{v}_y + \\vec{w}_y)"]);return Pe=function(){return n},n}function Ce(){var n=ke(["left | \vec{v}_y \right | = left | \vec{v} \right | cos alpha"],["\\left | \\vec{v}_y \\right | = \\left | \\vec{v} \\right | \\cos \\alpha"]);return Ce=function(){return n},n}function Ie(){var n=ke(["left | \vec{v}_x \right | = left | \vec{v} \right | sin alpha"],["\\left | \\vec{v}_x \\right | = \\left | \\vec{v} \\right | \\sin \\alpha"]);return Ie=function(){return n},n}function we(){var n=ke(["\vec{v} = \vec{v}_x + \vec{v}_y"],["\\vec{v} = \\vec{v}_x + \\vec{v}_y"]);return we=function(){return n},n}function ke(n,e){return e||(e=n.slice(0)),n.raw=e,n}t("hosL");var Be=t("Q7TX"),Se=t("imVn"),Ne=t("OPqz"),xe=t("CfuJ"),Ve=t("4v1N"),Te=t("RMzO"),ye=t("wQ73"),Re=t("PGF6"),Oe=String.raw;e.default=function(){return n(ye.a.Provider,{value:!1},n(Re.a.Provider,{value:Be.a.INLINE},n("div",null,n("h1",null,"Fisica"),n(Ne.a,{title:"Vettori"},n(Se.a,{title:"Componenti cartesiane"},n("p",null,"Usa le regole base della trigonometria:"),n("p",null,n(Be.b,null,Oe(we()))),n("p",null,n(Be.b,null,Oe(Ie()))),n("p",null,n(Be.b,null,Oe(Ce())))),n(Se.a,{title:"Somma"},n("p",null,"Scomponi in componenti, poi sommali:"),n("p",null,n(Be.b,null,Oe(Pe()))),n("p",null,"Produce il vettore risultante dall'applicazione della regola del parallelogramma.")),n(Se.a,{title:"Differenza"},n("p",null,"Alla fine è sempre una somma:"),n("p",null,n(Be.b,null,Oe(Ae()))),n("p",null,"Produce il vettore che parte da ",n(Be.b,null,"w")," e arriva a ",n(Be.b,null,"v"),".")),n(Se.a,{title:"Prodotto scalare"},n("p",null,"Si chiama scalare perchè il risultato è uno scalare, non un vettore."),n("p",null,n(Be.b,null,Oe(Fe()))),n("p",null,"Produce il modulo della proiezione di ",n(Be.b,null,Oe(qe()))," su ",n(Be.b,null,Oe(Ee())),".")),n(Se.a,{title:"Prodotto vettoriale"},n("p",null,"Si chiama vettoriale perchè il risultato è un altro vettore."),n("ul",null,n("li",null,n(Be.b,null,Oe(Le()))),n("li",null,n(Be.b,null,Oe(De()))),n("li",null,n("a",{href:"https://it.wikipedia.org/wiki/Regola_della_mano_destra"},"Regola della mano destra"))),n("p",null,"Non è commutativo!"))),n(Ne.a,{title:"Leggi di Newton"},n(Se.a,{title:"1ᵃ: Inerzia"},n("p",null,"Se un corpo puntiforme ha forza risultante nulla, allora la sua velocità non cambia."),n("p",null,n(Be.b,null,Oe(ze())))),n(Se.a,{title:"2ᵃ: Proporzionalità"},n("p",null,"La forza risultante di un corpo è direttamente proporzionale alla sua accelerazione, e la costante di proporzionalità è la ",n("i",null,"massa"),"."),n("p",null,n(Be.b,null,Oe(be())))),n(Se.a,{title:"3ᵃ: Azione e reazione"},n("p",null,"Due corpi esercitano forze uguali e opposte uno sull'altro."),n("p",null,n(Be.b,null,Oe(he()))))),n(Ne.a,{title:"Forza di gravità"},n(Se.a,{title:"Tra due corpi"},n("p",null,"Due corpi puntiformi si attirano uno verso l'altro con forza:"),n("p",null,n(Be.b,null,Oe(ge()))),n("p",null,n(Be.b,null,"G")," è la ",n("i",null,"costante di gravitazione universale")," e vale:"),n("p",null,n(Be.b,null,Oe(_e())))),n(Se.a,{title:"Verso la Terra"},n("p",null,"Se nel sistema di riferimento consideriamo la Terra ferma, allora un corpo è attratto verso la Terra con forza ",n("i",null,"peso")," uguale a:"),n("p",null,n(Be.b,null,Oe(me()))),n("p",null,n(Be.b,null,"g")," è la ",n("i",null,"costante di gravità")," della Terra, e vale:"),n("p",null,n(Be.b,null,Oe(ve())))),n(Se.a,{title:"Su pianeti diversi"},n("p",null,"Per pianeti diversi dalla Terra vale la stessa regola:"),n("p",null,n(Be.b,null,Oe(fe()))),n("p",null,"L'unica differenza è che cambia la ",n("i",null,"costante di gravità"),":"),n("p",null,n(Be.b,null,Oe(de()))),n("p",null,n(Be.b,null,Oe(pe()))))),n(Ne.a,{title:"Forze di contatto"},n(Se.a,{title:"Normale"},n("p",null,"Si oppone alle forze applicate alla superficie di contatto."),n("p",null,"Un libro appoggiato su un tavolo ha la ",n("b",null,"forza di gravità")," che lo attira verso il terreno e la ",n("b",null,"forza normale")," che lo trattiene dal cadere.")),n(Se.a,{title:"Attrito statico"},n("p",null,"Impedisce a un corpo di muoversi se non viene spinto da una forza che supera una certa soglia:"),n("p",null,n(Be.b,null,Oe(se())))),n(Se.a,{title:"Attrito dinamico"},n("p",null,"Rallenta i corpi che si stanno muovendo finchè essi non si fermano:"),n("p",null,n(Be.b,null,Oe(ce())))),n(Se.a,{title:"Tensione"},n("p",null,"E' forza trasmessa tra due estremi di una fune."),n("p",null,"Può essere redirezionata per mezzo di carrucole.")),n(Se.a,{title:"Elastica"},n("p",null,"Una molla cerca sempre di tornare alla sua posizione indeformata con forza:"),n("p",null,n(Be.b,null,Oe(ue()))),n("p",null,"(E' negativa perchè la forza è opposta a quella applicata per deformarla.)"))),n(Ne.a,{title:"Cinematica"},n(Se.a,{title:"Spostamento"},n("p",null,"È un vettore che indica la posizione di un corpo rispetto a un'origine."),n("p",null,n(Be.b,null,Oe(re())))),n(Se.a,{title:"Velocità"},n("p",null,"È un vettore che misura la variazione di posizione nel tempo."),n("p",null,n(Be.b,null,Oe(oe()))),n("p",null,"Se si considera un intervallo di tempo infinitesimale si dice ",n("i",null,"velocità istantanea"),":"),n("p",null,n(Be.b,null,Oe(ie())))),n(Se.a,{title:"Accelerazione"},n("p",null,"È un vettore che misura la variazione di velocità nel tempo."),n("p",null,n(Be.b,null,Oe(ae()))),n("p",null,"Se si considera un intervallo di tempo infinitesimale si dice ",n("i",null,"accelerazione istantanea"),":"),n("p",null,n(Be.b,null,Oe(le())))),n(Se.a,{title:n("span",null,"Quantità di moto ",n("small",null,"(momento lineare)"))},n("p",null,"La quantità di moto è una proprietà vettoriale dei corpi:"),n("p",null,n(Be.b,null,Oe(te()))),n("p",null,"Se la forza risultante è nulla, la quantità di moto non cambia."),n("p",null,n(Be.b,null,Oe(ee()))))),n(Ne.a,{title:"Moto rettilineo uniforme"},n(Se.a,{title:"Spostamento"},n("p",null,"La ",n("i",null,"legge oraria")," è:"),n("p",null,n(Be.b,null,Oe(ne())))),n(Se.a,{title:"Velocità"},n("p",null,"È costante:"),n("p",null,n(Be.b,null,Oe($n())))),n(Se.a,{title:"Accelerazione"},n("p",null,"La velocità non varia:"),n("p",null,n(Be.b,null,Oe(Zn())))),n(Se.a,{title:"Forze"},n("p",null,"Si applica la prima legge di Newton:"),n("p",null,n(Be.b,null,"f(t) = 0")))),n(Ne.a,{title:"Moto rettilineo uniformemente accelerato"},n(Se.a,{title:"Spostamento"},n("p",null,"La ",n("i",null,"legge oraria")," è:"),n("p",null,n(Be.b,null,Oe(Xn())))),n(Se.a,{title:"Velocità"},n("p",null,"È una retta:"),n("p",null,n(Be.b,null,Oe(Kn())))),n(Se.a,{title:"Accelerazione"},n("p",null,"È costante:"),n("p",null,n(Be.b,null,Oe(Yn())))),n(Se.a,{title:"Forze"},n("p",null,"Si applica la prima legge di Newton:"),n("p",null,n(Be.b,null,"f(t) = m a")))),n(Ne.a,{title:"Moto armonico semplice"},n(Se.a,{title:"Ampiezza"},n("p",null,"E' la distanza dal centro massima che raggiunge il corpo."),n("p",null,"(L'ampiezza di una sinusoide.)")),n(Se.a,{title:"Velocità angolare"},n("p",null,"Indica quanto in fretta cambia la posizione del corpo."),n("p",null,"Dipende dal periodo:"),n("p",null,n(Be.b,null,Oe(Jn())))),n(Se.a,{title:"Spostamento"},n("p",null,"E' una sinusoide:"),n("p",null,n(Be.b,null,Oe(jn())))),n(Se.a,{title:"Velocità"},n("p",null,"E' la sinusoide dello spostamento, sfasata di ",n(Be.b,null,Oe(Wn())),":"),n("p",null,n(Be.b,null,Oe(Gn())))),n(Se.a,{title:"Accelerazione"},n("p",null,"E' la sinusoide della velocità, sfasata di ",n(Be.b,null,Oe(Qn())),":"),n("p",null,n(Be.b,null,Oe(Mn())))),n(Se.a,{title:"Forze"},n("p",null,"Si applica la prima legge di 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circonferenza:"),n("p",null,n(Be.b,null,Oe(Rn())))),n(Se.a,{title:"Accelerazione"},n("p",null,"Il corpo ha sempre un accelerazione verso il centro che gli impedisce di abbandonare il moto:"),n("p",null,n(Be.b,null,Oe(yn())))),n(Se.a,{title:"Forza centripeta"},n("p",null,"È verso il centro e si calcola con:"),n("p",null,n(Be.b,null,Oe(Tn()))))),n(Ne.a,{title:"Lavoro ed energia"},n(Se.a,{title:"Lavoro"},n("p",null,"E' compiuto da una forza che sposta un corpo."),n("p",null,n(Be.b,null,Oe(Vn()))),n("p",null,"(Se la forza non è parallela allo spostamento, il prodotto scalare ci fa considerare solo la componente parallela.)")),n(Se.a,{title:"Energia cinetica"},n("p",null,"Un corpo ha energia cinetica in ogni momento uguale a:"),n("p",null,n(Be.b,null,Oe(xn()))),n("p",null,"Se una forza effettua lavoro su un corpo, cambia la sua energia cinetica pari al lavoro effettuato:"),n("p",null,n(Be.b,null,Oe(Nn())))),n(Se.a,{title:"Energia potenziale gravitazionale"},n("p",null,"Un corpo ha energia potenziale in ogni momento pari a:"),n("p",null,n(Be.b,null,Oe(Sn()))),n("p",null,"(Con ",n(Be.b,null,"h")," uguale a un altezza scelta come punto di riferimento.)")),n(Se.a,{title:"Energia potenziale elastica"},n("p",null,"Una molla ha sempre energia potenziale elastica pari a:"),n("p",null,n(Be.b,null,Oe(Bn())))),n(Se.a,{title:"Forze conservative"},n("p",null,"Sono conservative le forze per le quali il lavoro compiuto non dipende dal percorso seguito per andare dalla partenza all'arrivo."),n("p",null,"Ad esempio, è conservativa la ",n("i",null,"forza di gravità"),", ma ",n("b",null,"non")," è conservativa la forza di attrito."),n("p",null,"Se in un sistema ci sono solo forze conservative, allora l'energia meccanica totale si conserva:"),n("p",null,n(Be.b,null,Oe(kn())))),n(Se.a,{title:"Potenza"},n("p",null,"È la velocità di trasferimento di energia:"),n("p",null,n(Be.b,null,Oe(wn()))))),n(Ne.a,{title:"Elettrostatica"},n(Se.a,{title:"Carica elettrica"},n("p",null,"È una proprietà dei corpi che può essere ",n(xe.a,null,"positiva")," o ",n(Ve.a,null,"negativa"),"."),n("p",null,"Si conserva: in un sistema chiuso la carica totale è costante."),n("p",null,"Esiste un'unità elementare: ",n(Be.b,null,Oe(In())),"."),n("p",null,"Cariche ",n(xe.a,null,"opp"),n(Ve.a,null,"oste")," si attraggono; cariche ",n(xe.a,null,"uguali")," si respingono.")),n(Se.a,{title:"Conduttori e isolanti"},n("p",null,"Più ",n("a",{href:"https://it.wikipedia.org/wiki/Ione"},"ioni")," ha un corpo, meglio la carica si muove attraverso di esso."),n("p",null,"I corpi in cui la carica si muove bene sono ",n("i",null,"conduttori"),", mentre quelli in cui si muove difficilmente sono ",n("i",null,"isolanti"),"."),n("p",null,n("i",null,"Il corpo umano è un buon conduttore.")))),n(Ne.a,{title:"Polarizzazione"},n(Se.a,{title:"Polarizzazione"},n("p",null,"E' possibile polarizzare un corpo per accumulare la carica di un segno in una certa zona."))),n(Ne.a,null,n(Se.a,{title:"Messa a terra"},n("p",null,"Se un corpo conduttore è in contatto con la Terra, le cariche su di esso saranno ",n("i",null,"equilibrate")," e il corpo diventerà elettricamente neutro (con stesso numero di ",n(xe.a,null,"cariche positive")," e ",n(Ve.a,null,"negative")," all'interno)."))),n(Ne.a,null,n(Se.a,{title:"Polarizzazione per strofinio"},n("p",null,"Strofinando tra loro due corpi isolanti, essi si ",n("i",null,"polarizzeranno per strofinio"),".")),n(Se.a,{title:"Polarizzazione per contatto"},n("p",null,"Toccando un conduttore con un corpo carico, il conduttore potrà ",n("i",null,"polarizzarsi per contatto"),".")),n(Se.a,{title:"Polarizzazione per induzione"},n("p",null,'Se un corpo conduttore ha cariche "esterne" di un ',n(xe.a,null,"certo segno")," vicino, esso avrà tutte le cariche del ",n(Ve.a,null,"segno opposto")," in equilibrio vicino alle cariche esterne, e tutte le cariche dello ",n(xe.a,null,"stesso segno")," più lontano possibile da esse."),n("p",null,"Mettendo a terra il conduttore, nuove cariche del ",n(Ve.a,null,"segno opposto")," saranno attratte all'interno del corpo per equilibrare le cariche che si sono allontanate."),n("p",null,"Staccando il conduttore da terra e rimuovendo le cariche esterne, esso si ritroverà ",n(Ve.a,null,"caricato del segno opposto")," rispetto alle cariche esterne."))),n(Ne.a,{title:"Forza elettrica"},n(Se.a,{title:"Legge di Coulomb"},n("p",null,"Due corpi carichi si attraggono tra loro con forza:"),n("p",null,n(Be.b,null,Oe(Cn()))),n("p",null,n(Be.b,null,Oe(Pn()))," è la ",n("i",null,"costante di Coulomb"),", e vale ",n(Be.b,null,Oe(An())),".")),n(Se.a,{title:"Permeabilità dello spazio vuoto"},n("p",null,"La costante ",n(Be.b,null,Oe(Fn()))," è in realtà dipendente da un altra costante, ",n(Be.b,null,Oe(qn())),", la ",n("i",null,"permeabilità del vuoto"),"."),n("p",null,n(Be.b,null,Oe(En()))),n("p",null,n(Be.b,null,Oe(Ln())))),n(Se.a,{title:"Campo elettrico"},n("p",null,"Misura che forza viene applicata in ogni punto su una carica unitaria:"),n("p",null,n(Be.b,null,Oe(Dn())))),n(Se.a,{title:"Flusso elettrico"},n("p",null,'È la differenza tra "quanto" campo elettrico ',n(xe.a,null,"entra")," e quanto campo elettrico ",n(Ve.a,null,"esce")," da una certa area."),n("p",null,"In qualsiasi superficie chiusa, il flusso elettrico è uguale alla componente perpendicolare del campo elettrico moltiplicato per l'area."),n("p",null,n(Be.b,null,Oe(zn()))),n("p",null,"Se il campo elettrico è uniforme, se ne può calcolare facilmente il valore:"),n("p",null,n(Be.b,null,Oe(bn()))),n("p",null,n(Te.a,null,"Circa. E' una specie di integrale..."))),n(Se.a,{title:"Legge di Gauss per i campi elettrostatici"},n("p",null,"Il flusso elettrico è direttamente proporzionale alla carica presente all'interno della superficie."),n("p",null,n(Be.b,null,Oe(hn()))),n("p",null,"Ovvero, i campi elettrostatici sono generati dalle cariche elettriche."))),n(Ne.a,{title:"Energia elettrica"},n(Se.a,{title:"Energia potenziale elettrica"},n("p",null,"Un corpo carico vicino ad altre cariche possiede un'",n("i",null,"energia potenziale elettrica")," ",n(Be.b,null,Oe(gn())),"."))),n(Ne.a,{title:"Circuiti elettrici"},n(Se.a,{title:n("span",null,"Potenziale elettrico ",n("small",null,"(tensione)"))},n("p",null,"È il valore dell'energia potenziale elettrica per una carica unitaria."),n("p",null,n(Be.b,null,Oe(_n()))),n("p",null,"La sua unità di misura è il Volt (",n(Be.b,null,Oe(mn())),")."),n("p",null,"In una batteria è detto ",n("i",null,"forza elettromotrice"),", e corrisponde al lavoro compiuto da una batteria ideale per spostare una carica unitaria tra i due poli.")),n(Se.a,{title:n("span",null,"Corrente elettrica ",n("small",null,"(intensità)"))},n("p",null,"Quanta carica passa attraverso un'area (perpendicolare al flusso) nel tempo."),n("p",null,n(Be.b,null,Oe(vn()))),n("p",null,"Fintanto che c'è differenza di potenziale, ci sarà anche intensità non nulla."),n("p",null,"La sua unità di misura è l'Ampere (",n(Be.b,null,Oe(fn())),").")),n(Se.a,{title:n("span",null,"Corrente continua ",n("small",null,"(",n("abbr",{title:"Direct Current"},"DC"),")"))},n("p",null,"Quando in un circuito la direzione della corrente è costante.")),n(Se.a,{title:n("span",null,"Corrente alternata ",n("small",null,"(",n("abbr",{title:"Alternate Current"},"AC"),")"))},n("p",null,"Quando in un circuito la direzione della corrente si alterna periodicamente.")),n(Se.a,{title:"Potenza elettrica"},n("p",null,"Possiamo calcolare la potenza di un circuito:"),n("p",null,n(Be.b,null,Oe(dn()))))),n(Ne.a,{title:"Elementi di un circuito"},n(Se.a,{title:"Resistore"},n("p",null,"Riduce l'intensità di corrente, e converte parte del potenziale in calore."),n("p",null,"Il potenziale utilizzato è pari a:"),n("p",null,n(Be.b,null,Oe(pn()))),n("p",null,"Dove ",n(Be.b,null,Oe(sn()))," è una costante detta ",n("i",null,"resistenza")," con unità di misura Ohm (",n(Be.b,null,Oe(cn())),")."),n("p",null,"La resistenza di un conduttore vale:"),n("p",null,n(Be.b,null,Oe(un()))),n("p",null,n(Be.b,null,Oe(rn()))," è la ",n("i",null,"resistività")," del materiale, e varia in base alla temperatura:"),n("p",null,n(Be.b,null,Oe(on())))),n(Se.a,{title:"Condensatore"},n("p",null,"Immagazzina potenziale elettrico, permettendo di riutilizzarla in seguito."),n("p",null,"Per farlo, cattura cariche ",n(xe.a,null,"positive")," e ",n(Ve.a,null,"negative")," sulle sue due armature; perchè questo avvenga, deve essere compiuto lavoro."),n("p",null,"Ha una ",n("b",null,"capacità")," caratteristica, che in un condensatore a facce piane parallele è:"),n("p",null,n(Be.b,null,Oe(an()))),n("p",null,"Condensatori di capacità maggiore immagazzinano più potenziale con meno carica."),n("p",null,"La capacità aumenta se viene messo qualcosa tra le armature:"),n("p",null,n(Be.b,null,Oe(ln()))),n("p",null,"Dove ",n(Be.b,null,Oe(tn()))," è la ",n("i",null,"costante dielettrica relativa")," del materiale inserito, ",n(Be.b,null,Oe(en()))," l'area di una armatura e ",n(Be.b,null,Oe(nn()))," la distanza tra le due armature."),n("p",null,"Se il campo elettrico creatosi tra le due armature supera la ",n("i",null,"rigidità dielettrica")," del condensatore, la carica immagazzinata viene persa e ha luogo un ",n("i",null,"breakdown"),"."),n("p",null,"La sua unità di misura è il Farad (",n(Be.b,null,Oe($())),")")),n(Se.a,{title:"Amperometro"},n("p",null,"Misura la corrente elettrica se messo in serie."),n("p",null,"(Funzionamento: ha una resistenza interna bassisima in modo da non influire significativamente sulla corrente.)")),n(Se.a,{title:"Voltmetro"},n("p",null,"Misura la differenza di potenziale se messo in parallelo."),n("p",null,"(Funzionamento: ha una resistenza altissima in modo da non influire significativamente sulla tensione.)"))),n(Ne.a,{title:"Principi di Kirchhoff"},n(Se.a,{title:"Legge dei nodi"},n("p",null,"Per nodo si intende un qualsiasi punto del circuito."),n("p",null,"Da un nodo entra ed esce la stessa corrente.")),n(Se.a,{title:"Legge delle maglie"},n("p",null,"Per maglia si intende un qualsiasi percorso chiuso all'interno del circuito."),n("p",null,"In una maglia chiusa, la somma delle differenze di potenziale è 0."))),n(Ne.a,{title:"Serie e Parallelo"},n(Se.a,{title:"Circuito in serie"},n("p",null,"Più parti di circuito sono ",n("i",null,"in serie")," se sono consecutive e senza biforcazioni."),n("p",null,"Parti di circuito in serie sono attraversate dalla stessa corrente.")),n(Se.a,{title:"Circuito in parallelo"},n("p",null,"Più parti di circuito sono ",n("i",null,"in parallelo")," tra loro se hanno lo stesso punto di partenza e lo stesso punto di arrivo."),n("p",null,"Parti di circuito in parallelo hanno la stessa differenza di potenziale."))),n(Ne.a,{title:"Resistenze equivalenti"},n(Se.a,{title:"Circuiti in serie"},n("p",null,"Nei circuiti in serie, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza della somma di tutte le quelle sostituite:"),n("p",null,n(Be.b,null,Oe(Z())))),n(Se.a,{title:"Circuiti in parallelo"},n("p",null,"Nei circuiti in parallelo, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza di:"),n("p",null,n(Be.b,null,Oe(X()))))),n(Ne.a,{title:"Condensatori equivalenti"},n(Se.a,{title:"Circuiti in serie"},n("p",null,"Nei circuiti in serie, tutti i condensatori possono essere sostituiti con uno equivalente dalla capacità di:"),n("p",null,n(Be.b,null,Oe(K())))),n(Se.a,{title:"Circuiti in parallelo"},n("p",null,"Nei circuiti in parallelo, tutte i condensatori possono essere sostituite con uno equivalente dalla capacità della somma di tutti quelli sostituiti:"),n("p",null,n(Be.b,null,Oe(Y()))))),n(Ne.a,{title:"Magnetismo"},n(Se.a,{title:"Permeabilità magnetica dello spazio vuoto"},n("p",null,"E' una costante fisica fondamentale che rappresenta quanto un materiale si magnetizza facilmente."),n("p",null,n(Be.b,null,Oe(J()))," (",n(Be.b,null,Oe(j())),")")),n(Se.a,{title:"Campo magnetico"},n("p",null,"Come un campo elettrico, ma per i magneti."),n("p",null,"Il suo simbolo è ",n(Be.b,null,Oe(W())),", e la sua unità di misura è il Tesla (",n(Be.b,null,"T"),").")),n(Se.a,{title:"Flusso magnetico"},n("p",null,'È "quanto" campo magnetico ',n("b",null,"attraversa")," un percorso chiuso."),n("p",null,'Per qualsiasi percorso chiuso, il flusso magnetico è uguale alla somma di tutti i "sottoflussi" magnetici calcolati sui suoi lati.'),n("p",null,n(Be.b,null,Oe(G()))),n("p",null,n(Be.b,null,Oe(Q()))),n("p",null,"La sua unità di misura è il Weber (",n(Be.b,null,Oe(M())),").")),n(Se.a,{title:"Legge di Gauss per i campi magnetici"},n("p",null,"Il flusso magnetico attraverso qualsiasi superficie chiusa è sempre nullo."),n("p",null,"Ovvero, non esistono monopoli magnetici.")),n(Se.a,{title:"Legge di Ampère"},n("p",null,"L'intensità di corrente che attraversa un percorso chiuso è direttamente proporzionale al flusso magnetico dello stesso percorso."),n("p",null,n(Be.b,null,Oe(H()))))),n(Ne.a,{title:"Forze magnetiche"},n(Se.a,{title:n("span",null,"Forza magnetica su carica puntiforme ",n("small",null,"(Forza di Lorentz)"))},n("p",null,"I campi magnetici applicano una forza sulle cariche vicine:"),n("p",null,n(Be.b,null,Oe(U()))),n("p",null,"Dove ",n(Be.b,null,Oe(O()))," è l'intensità del campo magnetico e ",n(Be.b,null,Oe(R()))," la velocità della carica considerata."),n("p",null,"Si ha una forza massima se la velocità è perpendicolare al campo magnetico."),n("p",null,"In un campo magnetico uniforme, una velocità perpendicolare al campo porta alla creazione di un moto circolare uniforme.")),n(Se.a,{title:"Forza magnetica in un filo"},n("p",null,"I campi magnetici influenzano ovviamente anche le cariche presenti in un conduttore:"),n("p",null,n(Be.b,null,Oe(y()))," ",n("a",{href:"https://it.openprof.com/wb/forza_di_lorentz_su_un_filo_percorso_da_corrente?ch=360"},"[1]")),n("p",null,"Dove ",n(Be.b,null,Oe(T()))," è la corrente elettrica, ",n(Be.b,null,Oe(V()))," è un vettore che punta nella direzione di scorrimento della corrente e ha come modulo la lunghezza del conduttore."))),n(Ne.a,{title:"Campi magnetici"},n(Se.a,{title:"Campo magnetico in una spira"},n("p",null,"Una spira in cui passa corrente produce un campo magnetico perpendicolare al piano creato dalla spira.")),n(Se.a,{title:"Campo magnetico di un solenoide"},n("p",null,"Un solenoide sono tante spire avvolte in modo da formare una specie di cilindro."),n("p",null,"All'interno del solenoide si crea un campo (quasi) uniforme:"),n("p",null,n(Be.b,null,Oe(x())))),n(Se.a,{title:"Legge di Oersted"},n("p",null,n("i",null,"Caso particolare della ",n("a",{href:"https://it.wikipedia.org/wiki/Legge_di_Amp%C3%A8re"},"Legge di Ampère"),".")),n("p",null,"Il modulo del campo magnetico ",n(Be.b,null,"B")," prodotto da un filo in cui passa una corrente continua ",n(Be.b,null,"I")," alla distanza ",n(Be.b,null,"s")," è:"),n("p",null,n(Be.b,null,Oe(N()))),n("p",null,"Il campo magnetico così creato gira attorno al filo in senso antiorario."),n("p",null,"Due fili attraversati dalla ",n(xe.a,null,"stessa corrente")," si attraggono, due fili attraversati da ",n(xe.a,null,"corr"),n(Ve.a,null,"enti")," ",n(xe.a,null,"opp"),n(Ve.a,null,"oste")," si respingono."))),n(Ne.a,{title:"Induzione elettromagnetica"},n(Se.a,{title:"Forza elettromotrice indotta"},n("p",null,"Un conduttore perpendicolare ad un campo magnetico può ottenere una differenza di potenziale se messo in movimento in un direzione perpendicolare alla direzione del conduttore e del campo."),n("p",null,"La differenza di potenziale si crea a causa della forza magnetica, che fa spostare tutti gli elettroni verso un capo del conduttore."),n("p",null,"Essa vale:"),n("p",null,n(Be.b,null,Oe(S()))),n("p",null,"Dove ",n(Be.b,null,"v")," è la velocità del conduttore, ",n(Be.b,null,"B")," è l'intensità del campo magnetico ed ",n(Be.b,null,"L")," è la lunghezza del conduttore.")),n(Se.a,{title:"Flusso magnetico in una spira"},n("p",null,"In un campo magnetico ",n(Be.b,null,Oe(B()))," uniforme e perpendicolare al piano di una spira di area ",n(Be.b,null,Oe(k())),", il flusso magnetico si può determinare con la ",n("i",null,"Legge di Faraday-Neumann-Lenz"),":"),n("p",null,n(Be.b,null,Oe(w()))))),n(Ne.a,null,n(Se.a,{title:"Legge di Faraday-Neumann-Lenz"},n("p",null,"Dice che la forza elettromotrice media indotta in un percorso dipende dalla variazione nel tempo del flusso magnetico nello stesso percorso."),n("p",null,n(Be.b,null,Oe(I()))),n("p",null,"Il meno è dovuto alla ",n("a",{href:"https://it.wikipedia.org/wiki/Legge_di_Lenz"},"Legge di Lenz"),", che specifica qualitativamente il verso della forza elettromotrice indotta.")),n(Se.a,{title:"Faraday in un solenoide"},n("p",null,"In un solenoide, la forza elettromotrice indotta è uguale a:"),n("p",null,n(Be.b,null,Oe(C()))),n("p",null,"Dove ",n(Be.b,null,Oe(P()))," è il numero delle spire del solenoide.")),n(Se.a,{title:"Legge di Ampère-Maxwell"},n("p",null,"Correnti o campi elettrici variabili creano un campo magnetico."))),n(Ne.a,{title:"Elettromagnetismo"},n(Se.a,{title:"Onde elettromagnetiche"},n("p",null,"Nel vuoto, il campo elettrico ",n(Be.b,null,Oe(A()))," e il campo magnetico ",n(Be.b,null,Oe(F()))," sono perpendicolari tra loro e la direzione di propagazione, e sono entrambe funzioni del tempo."),n("p",null,"Si dice quindi che sono ",n("i",null,"onde elettromagnetiche"),"."),n("p",null,"Esse sono legate dalla relazione:"),n("p",null,n(Be.b,null,Oe(q()))),n("p",null,"Dove ",n(Be.b,null,Oe(E()))," è la velocità delle onde (luce) nel vuoto, e a sua volta è uguale a:"),n("p",null,n(Be.b,null,Oe(L())))),n(Se.a,{title:"Formula delle onde"},n("p",null,n(Be.b,null,Oe(D()))),n("p",null,"Dove ",n(Be.b,null,Oe(z()))," è l'ampiezza massima che può avere l'onda, ",n(Be.b,null,Oe(b()))," è il vettore d'onda, ",n(Be.b,null,Oe(h()))," la frequenza angolare e ",n(Be.b,null,Oe(g()))," la fase."))),n(Ne.a,{title:"Spettroscopia"},n(Se.a,{title:"Emissione"},n("p",null,"I solidi, se portati ad alta temperatura, emettono luce con uno ",n("a",{href:"https://it.wikipedia.org/wiki/Spettro_continuo"},"spettro continuo"),"."),n("p",null,"I gas, invece, ad alta temperatura emettono luce solo con particolari lunghezze d'onda."),n("p",null,"In un gas di idrogeno, le lunghezze d'onda emesse sono ricavabili con:"),n("p",null,n(Be.b,null,Oe(_()))),n("p",null,"Con ",n(Be.b,null,Oe(m())),", detta costante di Rydberg, e ",n(Be.b,null,Oe(v()))," un numero intero.")),n(Se.a,{title:"Grandezza quantizzata"},n("p",null,"Una grandezza si dice quantizzata (o discreta) se può assumere solo determinati valori."),n("p",null,"Una grandezza si dice continua se può assumere qualsiasi valore e quindi se non è quantizzata."),n("p",null,"Energia, momento angolare e raggio sono quantizzati."),n("p",null,"Nota costante quantica è ",n(Be.b,null,Oe(f())),", la costante di Planck, ovvero il valore minimo possibile per la carica (talvolta espressa come ",n(Be.b,null,Oe(d())),"."))),n(Ne.a,null,n(Se.a,{title:"Modello di Bohr"},n("p",null,"L'energia degli elettroni è quantizzata."),n("p",null,"Inoltre, per essi è valido che:"),n("p",null,n(Be.b,null,Oe(p()))),n("p",null,"Ancora, il raggio delle orbite è uguale a:"),n("p",null,n(Be.b,null,Oe(s()))),n("p",null,"Con ",n(Be.b,null,Oe(c())),"."),n("p",null,"Infine, in ogni stato, l'energia è pari a:"),n("p",null,n(Be.b,null,Oe(u()))),n("p",null,"Due elettroni non possono occupare lo stesso stato."),n("p",null,"Questo modello funziona solo per atomi con numero atomico basso. Atomi con molti elettroni hanno comportamenti diversi, descritti dal modello di"))),n(Ne.a,null,n(Se.a,{title:"Nei solidi"},n("p",null,"Nei solidi, le lunghezze d'onda sono talmente tanto vicine da poter essere considerate una banda."),n("p",null,"Possono però comunque avere dei gap dovuti agli intervalli di energia non ammessi."))),n(Ne.a,{title:"Semiconduttori"},n(Se.a,{title:"Semiconduttori"},n("p",null,n(Te.a,null,"Refactor this")),n("p",null,"Se la banda di emissione con energia più alta di un corpo è assente o è separata da un gap dell'ordine di grandezza maggiore di ",n(Be.b,null,Oe(r())),", allora il corpo è un isolante."),n("p",null,"Se invece la banda di emissione si sovrappone a un altra, allora il corpo è un conduttore."),n("p",null,"Se il gap è invece dell'ordine di grandezza di ",n(Be.b,null,Oe(o())),", allora il corpo è un semiconduttore.")),n(Se.a,{title:"Lacune"},n("p",null,"Legami in cui ",n(xe.a,null,"mancano elettroni"),"."),n("p",null,n(Ve.a,null,"Elettroni")," di altri legami possono spostarsi per colmare le ",n(xe.a,null,"lacune"),", creandone altre, e spostandole in direzione opposta a quella della corrente.")),n(Se.a,{title:"Accettori e donori"},n("p",null,"Se si inserisce in un cristallo semiconduttore si inserisce un atomo con numero atomico diverso, si otterrà:"),n("ul",null,n("li",null,"Con numero atomico maggiore, un semiconduttore di ",n(Ve.a,null,"tipo N")," con ",n(Ve.a,null,"elettroni in eccesso")," liberi di scorrere."),n("li",null,"Con numero atomico minore, un semiconduttore di ",n(xe.a,null,"tipo P")," con ",n(xe.a,null,"lacune in eccesso")," libere di catturare elettroni da altri legami.")),n("p",null,"Maggiore impurezza porta a maggiore conduttività.")),n(Se.a,{title:"Temperatura"},n("p",null,"Aumentando la temperatura di un semiconduttore si aumenta la conduttività, perchè eccita le particelle e favorisce il movimento di ",n(Ve.a,null,"elettroni")," e ",n(xe.a,null,"lacune"),"."))),n(Ne.a,{title:n("span",null,"Ottica 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{ Component } from 'preact';\nimport Latex, {LatexDisplay} from '../components/Rendering/Latex';\nimport Panel from '../components/Elements/Panel';\nimport Section from \"../components/Elements/Section\";\nimport Plus from '../components/PageSpecific/Fisica/Plus';\nimport Minus from '../components/PageSpecific/Fisica/Minus';\nimport Todo from \"../components/Elements/Todo\";\nimport LatexDefaultInline from \"../contexts/LatexDefaultInline\";\nimport LatexDefaultDisplay from \"../contexts/LatexDefaultDisplay\";\n\nconst r = String.raw;\n\nexport default function(props) {\n return (\n \n \n
\n

Fisica

\n
\n \n

\n Usa le regole base della trigonometria:\n

\n

\n {r`\\vec{v} = \\vec{v}_x + \\vec{v}_y`}\n

\n

\n {r`\\left | \\vec{v}_x \\right | = \\left | \\vec{v} \\right | \\sin \\alpha`}\n

\n

\n {r`\\left | \\vec{v}_y \\right | = \\left | \\vec{v} \\right | \\cos \\alpha`}\n

\n \n \n

\n Scomponi in componenti, poi sommali:\n

\n

\n {r`\\vec{v} + \\vec{w} = (\\vec{v}_x + \\vec{w}_x) + (\\vec{v}_y + \\vec{w}_y)`}\n

\n

\n Produce il vettore risultante dall'applicazione della regola del parallelogramma.\n

\n \n \n

\n Alla fine è sempre una somma:\n

\n

\n {r`\\vec{v} - \\vec{w} = (\\vec{v}_x - \\vec{w}_x) + (\\vec{v}_y - \\vec{w}_y)`}\n

\n

\n Produce il vettore che parte da w e arriva a v.\n

\n \n \n

\n Si chiama scalare perchè il risultato è uno scalare, non un vettore.\n

\n

\n {r`\\vec{v} \\cdot \\vec{w} = \\left | \\vec{v} \\right | \\left | \\vec{w} \\right | \\cos \\alpha`}\n

\n

\n Produce il modulo della proiezione di {r`\\vec{a}`} su {r`\\vec{b}`}.\n

\n \n \n

\n Si chiama vettoriale perchè il risultato è un altro vettore.\n

\n
    \n
  • {r`\\vec{c} = \\vec{a} \\times \\vec{b}`}
    • \n
  • {r`\\left | \\vec{c} \\right | = \\left | \\vec{a} \\right | \\cdot \\left | \\vec{b} \\right | \\cdot \\sin(\\alpha)`}
    • \n
  • Regola della mano destra
    • \n
\n

\n Non è commutativo!\n

\n \n
\n
\n \n

\n Se un corpo puntiforme ha forza risultante nulla, allora la sua velocità non cambia.\n

\n

\n {r`\\Sigma \\vec{F} = 0 \\Longleftrightarrow \\Delta v = 0`}\n

\n \n \n

\n La forza risultante di un corpo è direttamente proporzionale alla sua accelerazione, e la costante di proporzionalità è la massa.\n

\n

\n {r`\\Sigma \\vec{F} = m \\vec{a}`}\n

\n \n \n

\n Due corpi esercitano forze uguali e opposte uno sull'altro.\n

\n

\n {r`\\vec{F}_{21} = -\\vec{F}_{12}`}\n

\n \n
\n
\n \n

\n Due corpi puntiformi si attirano uno verso l'altro con forza:\n

\n

\n {r`\\left | \\vec{F} \\right | = G \\frac{m_1 m_2}{s^2}`}\n

\n

\n G è la costante di gravitazione universale e vale:\n

\n

\n {r`G = 6.67 \\cdot 10^{-11} \\frac{N m^2}{{kg}^2}`}\n

\n \n \n

\n Se nel sistema di riferimento consideriamo la Terra ferma, allora un corpo è attratto verso la Terra con forza peso uguale a:\n

\n

\n {r`\\left | \\vec{F} \\right | = g m`}\n

\n

\n g è la costante di gravità della Terra, e vale:\n

\n

\n {r`g = 9.81 \\frac{m}{s^2}`}\n

\n \n \n

\n Per pianeti diversi dalla Terra vale la stessa regola:\n

\n

\n {r`\\left | \\vec{F} \\right | = g m`}\n

\n

\n L'unica differenza è che cambia la costante di gravità:\n

\n

\n {r`g_{luna} = 1.62 \\frac{m}{s^2}`}\n

\n

\n {r`g_{marte} = 3.71 \\frac{m}{s^2}`}\n

\n \n
\n
\n \n

\n Si oppone alle forze applicate alla superficie di contatto.\n

\n

\n Un libro appoggiato su un tavolo ha la forza di gravità che lo attira verso il terreno e la forza normale che lo trattiene dal cadere.\n

\n \n \n

\n Impedisce a un corpo di muoversi se non viene spinto da una forza che supera una certa soglia:\n

\n

\n {r`\\left | \\vec{F} \\right | \\leq \\mu_{s} \\left | \\vec{F}_{normale} \\right |`}\n

\n \n \n

\n Rallenta i corpi che si stanno muovendo finchè essi non si fermano:\n

\n

\n {r`\\left | \\vec{F} \\right | \\leq \\mu_{d} \\left | \\vec{F}_{normale} \\right |`}\n

\n \n \n

\n E' forza trasmessa tra due estremi di una fune.\n

\n

\n Può essere redirezionata per mezzo di carrucole.\n

\n \n \n

\n Una molla cerca sempre di tornare alla sua posizione indeformata con forza:\n

\n

\n {r`F = -k x`}\n

\n

\n (E' negativa perchè la forza è opposta a quella applicata per deformarla.)\n

\n \n
\n
\n \n

\n È un vettore che indica la posizione di un corpo rispetto a un'origine.\n

\n

\n {r`\\Delta \\vec{s} = \\vec{s}(fine) - \\vec{s}(inizio)`}\n

\n \n \n

\n È un vettore che misura la variazione di posizione nel tempo.\n

\n

\n {r`\\vec{v} = \\frac{\\Delta \\vec{s}}{\\Delta t}`}\n

\n

\n Se si considera un intervallo di tempo infinitesimale si dice velocità istantanea:\n

\n

\n {r`\\vec{v} = \\lim_{\\Delta t \\to 0} \\frac{\\Delta \\vec{s}}{\\Delta t} = \\frac{d \\vec{s}}{dt}`}\n

\n \n \n

\n È un vettore che misura la variazione di velocità nel tempo.\n

\n

\n {r`\\vec{a} = \\frac{\\Delta \\vec{v}}{\\Delta t}`}\n

\n

\n Se si considera un intervallo di tempo infinitesimale si dice accelerazione istantanea:\n

\n

\n {r`\\vec{a} = \\lim_{\\Delta v \\to 0} \\frac{\\Delta \\vec{v}}{\\Delta t} = \\frac{d \\vec{v}}{d t} = \\frac{d^2 \\vec{s}}{d t^2}`}\n

\n \n Quantità di moto (momento lineare)}>\n

\n La quantità di moto è una proprietà vettoriale dei corpi:\n

\n

\n {r`\\vec{p} = m \\vec{v}`}\n

\n

\n Se la forza risultante è nulla, la quantità di moto non cambia.\n

\n

\n {r`\\Sigma \\vec{F} = 0 \\Longleftrightarrow \\Delta \\vec{p} = 0`}\n

\n \n
\n
\n \n

\n La legge oraria è:\n

\n

\n {r`s(t) = v \\cdot \\Delta t + s(0)`}\n

\n \n \n

\n È costante:\n

\n

\n {r`v(t) = k`}\n

\n \n \n

\n La velocità non varia:\n

\n

\n {r`a(t) = 0`}\n

\n \n \n

\n Si applica la prima legge di Newton:\n

\n

\n f(t) = 0\n

\n \n
\n
\n \n

\n La legge oraria è:\n

\n

\n {r`s(t) = \\frac{1}{2} a \\cdot (\\Delta t)^2 + v(0) \\cdot (\\Delta t) + s(0)`}\n

\n \n \n

\n È una retta:\n

\n

\n {r`v(t) = a \\Delta t + v(0)`}\n

\n \n \n

\n È costante:\n

\n

\n {r`a(t) = k`}\n

\n \n \n

\n Si applica la prima legge di Newton:\n

\n

\n f(t) = m a\n

\n \n
\n
\n \n

\n E' la distanza dal centro massima che raggiunge il corpo.\n

\n

\n (L'ampiezza di una sinusoide.)\n

\n \n \n

\n Indica quanto in fretta cambia la posizione del corpo.\n

\n

\n Dipende dal periodo:\n

\n

\n {r`\\omega = \\frac{2 \\pi}{T}`}\n

\n \n \n

\n E' una sinusoide:\n

\n

\n {r`s(t) = A \\sin (\\omega \\cdot t + \\phi)`}\n

\n \n \n

\n E' la sinusoide dello spostamento, sfasata di {r`\\frac{\\pi}{2}`}:\n

\n

\n {r`v(t) = A \\sin (\\omega \\cdot t + \\phi + \\frac{\\pi}{2})`}\n

\n \n \n

\n E' la sinusoide della velocità, sfasata di {r`\\pi`}:\n

\n

\n {r`a(t) = A \\sin (\\omega \\cdot t + \\phi + \\pi)`}\n

\n \n \n

\n Si applica la prima legge di Newton:\n

\n

\n f(t) = m a\n

\n \n
\n
\n \n

\n Il moto parabolico è dato sommando un moto rettilineo uniforme sull'asse orizzontale e un moto rettilineo uniformemente accelerato sull'asse verticale.\n

\n \n \n

\n Il moto parabolico è dato sommando due moti armonici semplici: uno sull'asse X, e l'altro, sfasato di {r`\\frac{\\pi}{2}`}, sull'asse Y.\n

\n \n
\n
\n \n

\n Velocità angolare\n

\n

\n Quanto cambia la fase nel tempo.\n

\n

\n {r`\\omega = \\frac{2 \\pi}{T}`}\n

\n \n \n

\n E' l'angolo percorso dal corpo rispetto alla posizione iniziale.\n

\n

\n Si indica con {r`\\phi`}, e generalmente si usa in radianti.\n

\n \n \n

\n Si applicano le formule per la circonferenza:\n

\n

\n {r`v = \\frac{\\Delta s}{t} = \\frac{2 \\pi \\cdot r}{T} = \\omega r`}\n

\n \n \n

\n Il corpo ha sempre un accelerazione verso il centro che gli impedisce di abbandonare il moto:\n

\n

\n {r`a = \\frac{v^2}{r} = r \\cdot \\omega^2 = v \\cdot \\omega`}\n

\n \n \n

\n È verso il centro e si calcola con:\n

\n

\n {r`F = m \\cdot a`}\n

\n \n
\n
\n \n

\n E' compiuto da una forza che sposta un corpo.\n

\n

\n {r`W = \\vec{F} \\cdot \\vec{s} = F \\cdot \\Delta s \\cdot cos(\\alpha )`}\n

\n

\n (Se la forza non è parallela allo spostamento, il prodotto scalare ci fa considerare solo la componente parallela.)\n

\n \n \n

\n Un corpo ha energia cinetica in ogni momento uguale a:\n

\n

\n {r`E_c = \\frac{1}{2} m v^2`}\n

\n

\n Se una forza effettua lavoro su un corpo, cambia la sua energia cinetica pari al lavoro effettuato:\n

\n

\n {r`\\Delta E_c = W`}\n

\n \n \n

\n Un corpo ha energia potenziale in ogni momento pari a:\n

\n

\n {r`E_{p_g} = m \\cdot g \\cdot h`}\n

\n

\n (Con h uguale a un altezza scelta come punto di riferimento.)\n

\n \n \n

\n Una molla ha sempre energia potenziale elastica pari a:\n

\n

\n {r`E_{p_e} = \\frac{1}{2} k x^2`}\n

\n \n \n

\n Sono conservative le forze per le quali il lavoro compiuto non dipende dal percorso seguito per andare dalla partenza all'arrivo.\n

\n

\n Ad esempio, è conservativa la forza di gravità, ma non è conservativa la forza di attrito.\n

\n

\n Se in un sistema ci sono solo forze conservative, allora l'energia meccanica totale si conserva:\n

\n

\n {r`E = E_k + E_p`}\n

\n \n \n

\n È la velocità di trasferimento di energia:\n

\n

\n {r`P = \\frac{\\Delta E}{\\Delta t}`}\n

\n \n
\n
\n \n

\n È una proprietà dei corpi che può essere positiva o negativa.\n

\n

\n Si conserva: in un sistema chiuso la carica totale è costante.\n

\n

\n Esiste un'unità elementare: {r`C_{elettrone} = 1.602 \\cdot 10^{-19}`}.\n

\n

\n Cariche opposte si attraggono; cariche uguali si respingono.\n

\n \n \n

\n Più ioni ha un corpo, meglio la carica si muove attraverso di esso.\n

\n

\n I corpi in cui la carica si muove bene sono conduttori, mentre quelli in cui si muove difficilmente sono isolanti.\n

\n

\n Il corpo umano è un buon conduttore.\n

\n \n
\n
\n \n

\n E' possibile polarizzare un corpo per accumulare la carica di un segno in una certa zona.\n

\n \n
\n
\n \n

\n Se un corpo conduttore è in contatto con la Terra, le cariche su di esso saranno equilibrate e il corpo diventerà elettricamente neutro (con stesso numero di cariche positive e negative all'interno).\n

\n \n
\n
\n \n

\n Strofinando tra loro due corpi isolanti, essi si polarizzeranno per strofinio.\n

\n \n \n

\n Toccando un conduttore con un corpo carico, il conduttore potrà polarizzarsi per contatto.\n

\n \n \n

\n Se un corpo conduttore ha cariche \"esterne\" di un certo segno vicino, esso avrà tutte le cariche del segno opposto in equilibrio vicino alle cariche esterne, e tutte le cariche dello stesso segno più lontano possibile da esse.\n

\n

\n Mettendo a terra il conduttore, nuove cariche del segno opposto saranno attratte all'interno del corpo per equilibrare le cariche che si sono allontanate.\n

\n

\n Staccando il conduttore da terra e rimuovendo le cariche esterne, esso si ritroverà caricato del segno opposto rispetto alle cariche esterne.\n

\n \n
\n
\n \n

\n Due corpi carichi si attraggono tra loro con forza:\n

\n

\n {r`\\left | \\vec{F}_{elettrica} \\right | = \\frac{-k \\cdot q_1 \\cdot q_2}{s^2}`}\n

\n

\n {r`k`} è la costante di Coulomb, e vale {r`k = 8.99 \\cdot 10^9 \\frac{N \\cdot m^2}{C^2}`}.\n

\n \n \n

\n La costante {r`k`} è in realtà dipendente da un altra costante, {r`\\epsilon_0`}, la permeabilità del vuoto.\n

\n

\n {r`k = \\frac{1}{4 \\pi \\cdot \\epsilon_0}`}\n

\n

\n {r`\\left | \\vec{F}_{elettrica} \\right | = \\frac{q_1 \\cdot q_2}{4 \\pi \\cdot \\epsilon_0 \\cdot s^2}`}\n

\n \n \n

\n Misura che forza viene applicata in ogni punto su una carica unitaria:\n

\n

\n {r`\\vec{E} = \\frac{\\vec{F}_{elettrica}}{q} = \\frac{-k \\cdot q}{s^2}`}\n

\n \n \n

\n È la differenza tra \"quanto\" campo elettrico entra e quanto campo elettrico esce da una certa area.\n

\n

\n In qualsiasi superficie chiusa, il flusso elettrico è uguale alla componente perpendicolare del campo elettrico moltiplicato per l'area.\n

\n

\n {r`\\Phi_E = \\vec{E} \\cdot \\vec{A}`}\n

\n

\n Se il campo elettrico è uniforme, se ne può calcolare facilmente il valore:\n

\n

\n {r`\\Phi_E = \\vec{E} \\cdot \\vec{A} = E_\\perp \\cdot A \\cdot \\cos(\\alpha)`}\n

\n

\n Circa. E' una specie di integrale...\n

\n \n \n

\n Il flusso elettrico è direttamente proporzionale alla carica presente all'interno della superficie.\n

\n

\n {r`\\Phi_E = 4 \\pi \\cdot k \\cdot q = \\frac{q}{\\epsilon_0}`}\n

\n

\n Ovvero, i campi elettrostatici sono generati dalle cariche elettriche.\n

\n \n
\n
\n \n

\n Un corpo carico vicino ad altre cariche possiede un'energia potenziale elettrica {r`U_e`}.\n

\n \n
\n
\n Potenziale elettrico (tensione)}>\n

\n È il valore dell'energia potenziale elettrica per una carica unitaria.\n

\n

\n {r`V = \\frac{U_e}{q}`}\n

\n

\n La sua unità di misura è il Volt ({r`V`}).\n

\n

\n In una batteria è detto forza elettromotrice, e corrisponde al lavoro compiuto da una batteria ideale per spostare una carica unitaria tra i due poli.\n

\n \n Corrente elettrica (intensità)}>\n

\n Quanta carica passa attraverso un'area (perpendicolare al flusso) nel tempo.\n

\n

\n {r`I = \\frac{\\Delta q}{\\Delta t}`}\n

\n

\n Fintanto che c'è differenza di potenziale, ci sarà anche intensità non nulla.\n

\n

\n La sua unità di misura è l'Ampere ({r`A`}).\n

\n \n Corrente continua (DC)}>\n

\n Quando in un circuito la direzione della corrente è costante.\n

\n \n Corrente alternata (AC)}>\n

\n Quando in un circuito la direzione della corrente si alterna periodicamente.\n

\n \n \n

\n Possiamo calcolare la potenza di un circuito:\n

\n

\n {r`P = \\frac{\\Delta U_e}{\\Delta t} = I \\cdot \\Delta V = I^2 \\cdot R = \\frac{(\\Delta V)^2}{R}`}\n

\n \n
\n
\n \n

\n Riduce l'intensità di corrente, e converte parte del potenziale in calore.\n

\n

\n Il potenziale utilizzato è pari a:\n

\n

\n {r`V = R \\cdot I`}\n

\n

\n Dove {r`R`} è una costante detta resistenza con unità di misura Ohm ({r`\\Omega`}).\n

\n

\n La resistenza di un conduttore vale:\n

\n

\n {r`R = \\rho \\frac{L_{unghezza}}{A_{rea}}`}\n

\n

\n {r`\\rho`} è la resistività del materiale, e varia in base alla temperatura:\n

\n

\n {r`\\rho = \\rho_0 (1 + \\alpha(T - T_0))`}\n

\n \n \n

\n Immagazzina potenziale elettrico, permettendo di riutilizzarla in seguito.\n

\n

\n Per farlo, cattura cariche positive e negative sulle sue due armature; perchè questo avvenga, deve essere compiuto lavoro.\n

\n

\n Ha una capacità caratteristica, che in un condensatore a facce piane parallele è:\n

\n

\n {r`C = \\frac{q_{massima}}{\\Delta V}`}\n

\n

\n Condensatori di capacità maggiore immagazzinano più potenziale con meno carica.\n

\n

\n La capacità aumenta se viene messo qualcosa tra le armature:\n

\n

\n {r`C_{nuova} = \\kappa \\cdot \\frac{\\epsilon_0 \\cdot A}{s}`}\n

\n

\n Dove {r`\\kappa`} è la costante dielettrica relativa del materiale inserito, {r`A`} l'area di una armatura e {r`s`} la distanza tra le due armature.\n

\n

\n Se il campo elettrico creatosi tra le due armature supera la rigidità dielettrica del condensatore, la carica immagazzinata viene persa e ha luogo un breakdown.\n

\n

\n La sua unità di misura è il Farad ({r`Fa`})\n

\n \n \n

\n Misura la corrente elettrica se messo in serie.\n

\n

\n (Funzionamento: ha una resistenza interna bassisima in modo da non influire significativamente sulla corrente.)\n

\n \n \n

\n Misura la differenza di potenziale se messo in parallelo.\n

\n

\n (Funzionamento: ha una resistenza altissima in modo da non influire significativamente sulla tensione.)\n

\n \n
\n
\n \n

\n Per nodo si intende un qualsiasi punto del circuito.\n

\n

\n Da un nodo entra ed esce la stessa corrente.\n

\n \n \n

\n Per maglia si intende un qualsiasi percorso chiuso all'interno del circuito.\n

\n

\n In una maglia chiusa, la somma delle differenze di potenziale è 0.\n

\n \n
\n
\n \n

\n Più parti di circuito sono in serie se sono consecutive e senza biforcazioni.\n

\n

\n Parti di circuito in serie sono attraversate dalla stessa corrente.\n

\n \n \n

\n Più parti di circuito sono in parallelo tra loro se hanno lo stesso punto di partenza e lo stesso punto di arrivo.\n

\n

\n Parti di circuito in parallelo hanno la stessa differenza di potenziale.\n

\n \n
\n
\n \n

\n Nei circuiti in serie, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza della somma di tutte le quelle sostituite:\n

\n

\n {r`R_{serie} = \\sum_{i=1}^{n} R_i`}\n

\n \n \n

\n Nei circuiti in parallelo, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza di:\n

\n

\n {r`R_{parallelo} = \\frac{1}{\\sum_{i=1}^{n} \\frac{1}{R_i}}`}\n

\n \n
\n
\n \n

\n Nei circuiti in serie, tutti i condensatori possono essere sostituiti con uno equivalente dalla capacità di:\n

\n

\n {r`C_{serie} = \\frac{1}{\\sum_{i=1}^{n} \\frac{1}{C_i}}`}\n

\n \n \n

\n Nei circuiti in parallelo, tutte i condensatori possono essere sostituite con uno equivalente dalla capacità della somma di tutti quelli sostituiti:\n

\n

\n {r`C_{parallelo} = \\sum_{i=1}^{n} C_n`}\n

\n \n
\n
\n \n

\n E' una costante fisica fondamentale che rappresenta quanto un materiale si magnetizza facilmente.\n

\n

\n {r`\\mu_0 = 4 \\pi \\cdot 10^{-7} \\frac{H}{m}`} ({r`\\frac{N}{A^2}`})\n

\n \n \n

\n Come un campo elettrico, ma per i magneti.\n

\n

\n Il suo simbolo è {r`B`}, e la sua unità di misura è il Tesla (T).\n

\n \n \n

\n È \"quanto\" campo magnetico attraversa un percorso chiuso.\n

\n

\n Per qualsiasi percorso chiuso, il flusso magnetico è uguale alla somma di tutti i \"sottoflussi\" magnetici calcolati sui suoi lati.\n

\n

\n {r`\\Phi_{B_{i}} = \\vec{B} \\cdot \\vec{L}_n = B \\cdot L_i \\cdot \\sin(\\alpha) = B_\\parallel \\cdot L_i`}\n

\n

\n {r`\\Phi_{B} = \\sum_{i=0}^{n_{lati}} \\Phi_{Bn}`}\n

\n

\n La sua unità di misura è il Weber ({r`Wb = T \\cdot m^2`}).\n

\n \n \n

\n Il flusso magnetico attraverso qualsiasi superficie chiusa è sempre nullo.\n

\n

\n Ovvero, non esistono monopoli magnetici.\n

\n \n \n

\n L'intensità di corrente che attraversa un percorso chiuso è direttamente proporzionale al flusso magnetico dello stesso percorso.\n

\n

\n {r`\\Phi_B = \\mu_0 \\cdot I`}\n

\n \n
\n
\n Forza magnetica su carica puntiforme (Forza di Lorentz)}>\n

\n I campi magnetici applicano una forza sulle cariche vicine:\n

\n

\n {r`\\vec{F}_{B} = q \\cdot (\\vec{v} \\times \\vec{B})`}\n

\n

\n Dove {r`\\vec{B}`} è l'intensità del campo magnetico e {r`\\vec{v}`} la velocità della carica considerata.\n

\n

\n Si ha una forza massima se la velocità è perpendicolare al campo magnetico.\n

\n

\n In un campo magnetico uniforme, una velocità perpendicolare al campo porta alla creazione di un moto circolare uniforme.\n

\n \n \n

\n I campi magnetici influenzano ovviamente anche le cariche presenti in un conduttore:\n

\n

\n {r`\\vec{F}_{magnetica} = I \\cdot (\\vec{L} \\times \\vec{B})`} [1]\n

\n

\n Dove {r`I`} è la corrente elettrica, {r`\\vec{L}`} è un vettore che punta nella direzione di scorrimento della corrente e ha come modulo la lunghezza del conduttore.\n

\n \n
\n
\n \n

\n Una spira in cui passa corrente produce un campo magnetico perpendicolare al piano creato dalla spira.\n

\n \n \n

\n Un solenoide sono tante spire avvolte in modo da formare una specie di cilindro.\n

\n

\n All'interno del solenoide si crea un campo (quasi) uniforme:\n

\n

\n {r`\\left | \\vec{B} \\right | = \\mu_0 \\cdot I \\cdot \\frac{A_{vvolgimenti}}{L_{unghezzafilo}}`}\n

\n \n \n

\n Caso particolare della Legge di Ampère.\n

\n

\n Il modulo del campo magnetico B prodotto da un filo in cui passa una corrente continua I alla distanza s è:\n

\n

\n {r`\\left | \\vec{B} \\right | = \\frac{\\mu \\cdot I}{2 \\pi r}`}\n

\n

\n Il campo magnetico così creato gira attorno al filo in senso antiorario.\n

\n

\n Due fili attraversati dalla stessa corrente si attraggono, due fili attraversati da correnti opposte si respingono.\n

\n \n
\n
\n \n

\n Un conduttore perpendicolare ad un campo magnetico può ottenere una differenza di potenziale se messo in movimento in un direzione perpendicolare alla direzione del conduttore e del campo.\n

\n

\n La differenza di potenziale si crea a causa della forza magnetica, che fa spostare tutti gli elettroni verso un capo del conduttore.\n

\n

\n Essa vale:\n

\n

\n {r`\\Delta V_{indotta} = v \\cdot B \\cdot L`}\n

\n

\n Dove v è la velocità del conduttore, B è l'intensità del campo magnetico ed L è la lunghezza del conduttore.\n

\n \n \n

\n In un campo magnetico {r`B`} uniforme e perpendicolare al piano di una spira di area {r`A`}, il flusso magnetico si può determinare con la Legge di Faraday-Neumann-Lenz:\n

\n

\n {r`\\Phi_B = \\vec{B} \\cdot \\vec{A} = B \\cdot A \\cdot \\cos(\\alpha)`}\n

\n \n
\n
\n \n

\n Dice che la forza elettromotrice media indotta in un percorso dipende dalla variazione nel tempo del flusso magnetico nello stesso percorso.\n

\n

\n {r`\\Delta V_{indotta} = - \\frac{\\Delta \\Phi_B}{\\Delta t}`}\n

\n

\n Il meno è dovuto alla Legge di Lenz, che specifica qualitativamente il verso della forza elettromotrice indotta.\n

\n \n \n

\n In un solenoide, la forza elettromotrice indotta è uguale a:\n

\n

\n {r`\\Delta V_{indotta} = - \\frac{N \\cdot \\Delta \\Phi_{B_{spira}}}{\\Delta t} = - \\frac{N \\cdot B \\cdot A \\cdot cos(\\alpha)}{\\Delta t}`}\n

\n

\n Dove {r`N`} è il numero delle spire del solenoide.\n

\n \n \n

\n Correnti o campi elettrici variabili creano un campo magnetico.\n

\n \n
\n
\n \n

\n Nel vuoto, il campo elettrico {r`E`} e il campo magnetico {r`B`} sono perpendicolari tra loro e la direzione di propagazione, e sono entrambe funzioni del tempo.\n

\n

\n Si dice quindi che sono onde elettromagnetiche.\n

\n

\n Esse sono legate dalla relazione:\n

\n

\n {r`E = c \\cdot B`}\n

\n

\n Dove {r`c`} è la velocità delle onde (luce) nel vuoto, e a sua volta è uguale a:\n

\n

\n {r`c = \\frac{1}{\\sqrt{\\epsilon_0 \\cdot \\mu_0}} = 3.00 \\cdot 10^8 \\frac{m}{s}`}\n

\n \n \n

\n {r`A(t) = A_{max} \\cdot \\sin \\left ( \\frac{2 \\pi}{\\lambda} - \\omega t + \\phi \\right )`}\n

\n

\n Dove {r`A_{max}`} è l'ampiezza massima che può avere l'onda, {r`\\frac{2 \\pi}{\\lambda} = \\left | \\vec{k} \\right |`} è il vettore d'onda, {r`\\omega`} la frequenza angolare e {r`\\phi`} la fase.\n

\n \n
\n
\n \n

\n I solidi, se portati ad alta temperatura, emettono luce con uno spettro continuo.\n

\n

\n I gas, invece, ad alta temperatura emettono luce solo con particolari lunghezze d'onda.\n

\n

\n In un gas di idrogeno, le lunghezze d'onda emesse sono ricavabili con:\n

\n

\n {r`\\frac{1}{\\lambda} = R \\left ( \\frac{1}{4} - \\frac{1}{n^2} \\right )`}\n

\n

\n Con {r`R = 1.097 \\cdot 10^7 \\frac{1}{m}`}, detta costante di Rydberg, e {r`n`} un numero intero.\n

\n \n \n

\n Una grandezza si dice quantizzata (o discreta) se può assumere solo determinati valori.\n

\n

\n Una grandezza si dice continua se può assumere qualsiasi valore e quindi se non è quantizzata.\n

\n

\n Energia, momento angolare e raggio sono quantizzati.\n

\n

\n Nota costante quantica è {r`h`}, la costante di Planck, ovvero il valore minimo possibile per la carica (talvolta espressa come {r`\\hbar = \\left ( \\frac{h}{2 \\pi} \\right )`}.\n

\n \n
\n
\n \n

\n L'energia degli elettroni è quantizzata.\n

\n

\n Inoltre, per essi è valido che:\n

\n

\n {r`m \\cdot v_n \\cdot 2 \\pi \\cdot r = n \\cdot h`}\n

\n

\n Ancora, il raggio delle orbite è uguale a:\n

\n

\n {r`r_n = n^2 \\cdot a_0 = n^2 \\cdot \\frac{\\hbar}{m_{elettrone} \\cdot k \\cdot e^2} `}\n

\n

\n Con {r`a_0 = \\left ( \\frac{h}{2 \\pi} \\right )^2 \\cdot \\frac{1}{m_{elettrone} \\cdot k \\cdot e^2} = 5.29 \\cdot 10^{-11} m`}.\n

\n

\n Infine, in ogni stato, l'energia è pari a:\n

\n

\n {r`E_n = \\frac{1}{n^2} \\cdot E_1 = - \\frac{1}{n^2} \\cdot \\frac{a_0^2}{2 \\cdot m \\cdot \\hbar^4} = - \\frac{1}{n^2} \\cdot \\frac{m_{elettrone} \\cdot k^2 \\cdot e^4}{2 \\cdot \\hbar^2}`}\n

\n

\n Due elettroni non possono occupare lo stesso stato.\n

\n

\n Questo modello funziona solo per atomi con numero atomico basso. Atomi con molti elettroni hanno comportamenti diversi, descritti dal modello di\n

\n \n
\n
\n \n

\n Nei solidi, le lunghezze d'onda sono talmente tanto vicine da poter essere considerate una banda.\n

\n

\n Possono però comunque avere dei gap dovuti agli intervalli di energia non ammessi.\n

\n \n
\n
\n \n

\n Refactor this\n

\n

\n Se la banda di emissione con energia più alta di un corpo è assente o è separata da un gap dell'ordine di grandezza maggiore di {r`10^1 eV`}, allora il corpo è un isolante.\n

\n

\n Se invece la banda di emissione si sovrappone a un altra, allora il corpo è un conduttore.\n

\n

\n Se il gap è invece dell'ordine di grandezza di {r`1 eV`}, allora il corpo è un semiconduttore.\n

\n \n \n

\n Legami in cui mancano elettroni.\n

\n

\n Elettroni di altri legami possono spostarsi per colmare le lacune, creandone altre, e spostandole in direzione opposta a quella della corrente.\n

\n \n \n

\n Se si inserisce in un cristallo semiconduttore si inserisce un atomo con numero atomico diverso, si otterrà:\n

\n
    \n
  • Con numero atomico maggiore, un semiconduttore di tipo N con elettroni in eccesso liberi di scorrere.
    • \n
  • Con numero atomico minore, un semiconduttore di tipo P con lacune in eccesso libere di catturare elettroni da altri legami.
    • \n
\n

\n Maggiore impurezza porta a maggiore conduttività.\n

\n \n \n

\n Aumentando la temperatura di un semiconduttore si aumenta la conduttività, perchè eccita le particelle e favorisce il movimento di elettroni e lacune.\n

\n \n
\n
Ottica (non l'abbiamo fatta)}>\n \n

\n I corpi possono assorbire o riflettere le onde elettromagnetiche che li colpiscono.\n

\n \n \n

\n Un corpo nero è un corpo che assorbe tutte le onde elettromagnetiche che riceve senza rifletterne nessuna.\n

\n

\n Le onde assorbite vengono poi riemesse sotto forma di un onda di {r`\\lambda`} variabile in base alla temperatura.\n

\n

\n {r`\\lambda_{max} \\cdot T`} è costante.\n

\n \n \n

\n L'energia assorbita e emessa dai corpi neri è quantizzata.\n

\n \n \n

\n Un onda magnetica con un quanto di energia è detta fotone:\n

\n

\n {r`E_{fotone} = h \\cdot f`}\n

\n \n \n

\n A volte, i fotoni che colpiscono un metallo possono estrarvi degli elettroni e creare una differenza di potenziale.\n

\n

\n Perchè avvenga, la frequenza deve essere maggiore di una certa soglia.\n

\n

\n Il numero di elettroni estratti dipende dall'intensità dell'onda, mentre l'energia cinetica degli elettroni dipende dalla frequenza.\n

\n

\n Non c'è nessun ritardo tra l'assorbimento del fotone e l'estrazione di elettroni.\n

\n \n
\n
\n \n \n )\n}\n","import style from \"./Minus.less\";\n\nexport default function(props) {\n\treturn {props.children};\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"box\":\"box__3cKyY\",\"default\":\"default__v-emJ\",\"red\":\"red__339Cz\",\"orange\":\"orange__24_8v\",\"yellow\":\"yellow__1Jo9W\",\"lime\":\"lime__34yV5\",\"cyan\":\"cyan__3RqLr\",\"blue\":\"blue__13Wnj\",\"magenta\":\"magenta__2tkzq\"};","import style from \"./Plus.less\";\nimport { Component } from 'preact';\n\nexport default function(props) {\n\treturn {props.children};\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"inline\":\"inline__1yl8V\",\"block\":\"block__fPiiB\"};","// extracted by mini-css-extract-plugin\nmodule.exports = {\"todo\":\"todo__2IWIS\"};","import Split from \"../Layout/Split\";\nimport {Fragment} from \"preact\";\n\nexport default function (props) {\n return (\n \n

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{ Component } from 'preact';\nimport Latex, {LatexDisplay} from '../components/Rendering/Latex';\nimport Panel from '../components/Elements/Panel';\nimport Section from \"../components/Elements/Section\";\nimport Plus from '../components/PageSpecific/Fisica/Plus';\nimport Minus from '../components/PageSpecific/Fisica/Minus';\nimport Todo from \"../components/Elements/Todo\";\nimport LatexDefaultInline from \"../contexts/LatexDefaultInline\";\nimport LatexDefaultDisplay from \"../contexts/LatexDefaultDisplay\";\n\nconst r = String.raw;\n\nexport default function(props) {\n return (\n \n \n
\n

Fisica

\n
\n \n

\n Usa le regole base della trigonometria:\n

\n

\n {r`\\vec{v} = \\vec{v}_x + \\vec{v}_y`}\n

\n

\n {r`\\left | \\vec{v}_x \\right | = \\left | \\vec{v} \\right | \\sin \\alpha`}\n

\n

\n {r`\\left | \\vec{v}_y \\right | = \\left | \\vec{v} \\right | \\cos \\alpha`}\n

\n \n \n

\n Scomponi in componenti, poi sommali:\n

\n

\n {r`\\vec{v} + \\vec{w} = (\\vec{v}_x + \\vec{w}_x) + (\\vec{v}_y + \\vec{w}_y)`}\n

\n

\n Produce il vettore risultante dall'applicazione della regola del parallelogramma.\n

\n \n \n

\n Alla fine è sempre una somma:\n

\n

\n {r`\\vec{v} - \\vec{w} = (\\vec{v}_x - \\vec{w}_x) + (\\vec{v}_y - \\vec{w}_y)`}\n

\n

\n Produce il vettore che parte da w e arriva a v.\n

\n \n \n

\n Si chiama scalare perchè il risultato è uno scalare, non un vettore.\n

\n

\n {r`\\vec{v} \\cdot \\vec{w} = \\left | \\vec{v} \\right | \\left | \\vec{w} \\right | \\cos \\alpha`}\n

\n

\n Produce il modulo della proiezione di {r`\\vec{a}`} su {r`\\vec{b}`}.\n

\n \n \n

\n Si chiama vettoriale perchè il risultato è un altro vettore.\n

\n
    \n
  • {r`\\vec{c} = \\vec{a} \\times \\vec{b}`}
    • \n
  • {r`\\left | \\vec{c} \\right | = \\left | \\vec{a} \\right | \\cdot \\left | \\vec{b} \\right | \\cdot \\sin(\\alpha)`}
    • \n
  • Regola della mano destra
    • \n
\n

\n Non è commutativo!\n

\n \n
\n
\n \n

\n Se un corpo puntiforme ha forza risultante nulla, allora la sua velocità non cambia.\n

\n

\n {r`\\Sigma \\vec{F} = 0 \\Longleftrightarrow \\Delta v = 0`}\n

\n \n \n

\n La forza risultante di un corpo è direttamente proporzionale alla sua accelerazione, e la costante di proporzionalità è la massa.\n

\n

\n {r`\\Sigma \\vec{F} = m \\vec{a}`}\n

\n \n \n

\n Due corpi esercitano forze uguali e opposte uno sull'altro.\n

\n

\n {r`\\vec{F}_{21} = -\\vec{F}_{12}`}\n

\n \n
\n
\n \n

\n Due corpi puntiformi si attirano uno verso l'altro con forza:\n

\n

\n {r`\\left | \\vec{F} \\right | = G \\frac{m_1 m_2}{s^2}`}\n

\n

\n G è la costante di gravitazione universale e vale:\n

\n

\n {r`G = 6.67 \\cdot 10^{-11} \\frac{N m^2}{{kg}^2}`}\n

\n \n \n

\n Se nel sistema di riferimento consideriamo la Terra ferma, allora un corpo è attratto verso la Terra con forza peso uguale a:\n

\n

\n {r`\\left | \\vec{F} \\right | = g m`}\n

\n

\n g è la costante di gravità della Terra, e vale:\n

\n

\n {r`g = 9.81 \\frac{m}{s^2}`}\n

\n \n \n

\n Per pianeti diversi dalla Terra vale la stessa regola:\n

\n

\n {r`\\left | \\vec{F} \\right | = g m`}\n

\n

\n L'unica differenza è che cambia la costante di gravità:\n

\n

\n {r`g_{luna} = 1.62 \\frac{m}{s^2}`}\n

\n

\n {r`g_{marte} = 3.71 \\frac{m}{s^2}`}\n

\n \n
\n
\n \n

\n Si oppone alle forze applicate alla superficie di contatto.\n

\n

\n Un libro appoggiato su un tavolo ha la forza di gravità che lo attira verso il terreno e la forza normale che lo trattiene dal cadere.\n

\n \n \n

\n Impedisce a un corpo di muoversi se non viene spinto da una forza che supera una certa soglia:\n

\n

\n {r`\\left | \\vec{F} \\right | \\leq \\mu_{s} \\left | \\vec{F}_{normale} \\right |`}\n

\n \n \n

\n Rallenta i corpi che si stanno muovendo finchè essi non si fermano:\n

\n

\n {r`\\left | \\vec{F} \\right | \\leq \\mu_{d} \\left | \\vec{F}_{normale} \\right |`}\n

\n \n \n

\n E' forza trasmessa tra due estremi di una fune.\n

\n

\n Può essere redirezionata per mezzo di carrucole.\n

\n \n \n

\n Una molla cerca sempre di tornare alla sua posizione indeformata con forza:\n

\n

\n {r`F = -k x`}\n

\n

\n (E' negativa perchè la forza è opposta a quella applicata per deformarla.)\n

\n \n
\n
\n \n

\n È un vettore che indica la posizione di un corpo rispetto a un'origine.\n

\n

\n {r`\\Delta \\vec{s} = \\vec{s}(fine) - \\vec{s}(inizio)`}\n

\n \n \n

\n È un vettore che misura la variazione di posizione nel tempo.\n

\n

\n {r`\\vec{v} = \\frac{\\Delta \\vec{s}}{\\Delta t}`}\n

\n

\n Se si considera un intervallo di tempo infinitesimale si dice velocità istantanea:\n

\n

\n {r`\\vec{v} = \\lim_{\\Delta t \\to 0} \\frac{\\Delta \\vec{s}}{\\Delta t} = \\frac{d \\vec{s}}{dt}`}\n

\n \n \n

\n È un vettore che misura la variazione di velocità nel tempo.\n

\n

\n {r`\\vec{a} = \\frac{\\Delta \\vec{v}}{\\Delta t}`}\n

\n

\n Se si considera un intervallo di tempo infinitesimale si dice accelerazione istantanea:\n

\n

\n {r`\\vec{a} = \\lim_{\\Delta v \\to 0} \\frac{\\Delta \\vec{v}}{\\Delta t} = \\frac{d \\vec{v}}{d t} = \\frac{d^2 \\vec{s}}{d t^2}`}\n

\n \n Quantità di moto (momento lineare)}>\n

\n La quantità di moto è una proprietà vettoriale dei corpi:\n

\n

\n {r`\\vec{p} = m \\vec{v}`}\n

\n

\n Se la forza risultante è nulla, la quantità di moto non cambia.\n

\n

\n {r`\\Sigma \\vec{F} = 0 \\Longleftrightarrow \\Delta \\vec{p} = 0`}\n

\n \n
\n
\n \n

\n La legge oraria è:\n

\n

\n {r`s(t) = v \\cdot \\Delta t + s(0)`}\n

\n \n \n

\n È costante:\n

\n

\n {r`v(t) = k`}\n

\n \n \n

\n La velocità non varia:\n

\n

\n {r`a(t) = 0`}\n

\n \n \n

\n Si applica la prima legge di Newton:\n

\n

\n f(t) = 0\n

\n \n
\n
\n \n

\n La legge oraria è:\n

\n

\n {r`s(t) = \\frac{1}{2} a \\cdot (\\Delta t)^2 + v(0) \\cdot (\\Delta t) + s(0)`}\n

\n \n \n

\n È una retta:\n

\n

\n {r`v(t) = a \\Delta t + v(0)`}\n

\n \n \n

\n È costante:\n

\n

\n {r`a(t) = k`}\n

\n \n \n

\n Si applica la prima legge di Newton:\n

\n

\n f(t) = m a\n

\n \n
\n
\n \n

\n E' la distanza dal centro massima che raggiunge il corpo.\n

\n

\n (L'ampiezza di una sinusoide.)\n

\n \n \n

\n Indica quanto in fretta cambia la posizione del corpo.\n

\n

\n Dipende dal periodo:\n

\n

\n {r`\\omega = \\frac{2 \\pi}{T}`}\n

\n \n \n

\n E' una sinusoide:\n

\n

\n {r`s(t) = A \\sin (\\omega \\cdot t + \\phi)`}\n

\n \n \n

\n E' la sinusoide dello spostamento, sfasata di {r`\\frac{\\pi}{2}`}:\n

\n

\n {r`v(t) = A \\sin (\\omega \\cdot t + \\phi + \\frac{\\pi}{2})`}\n

\n \n \n

\n E' la sinusoide della velocità, sfasata di {r`\\pi`}:\n

\n

\n {r`a(t) = A \\sin (\\omega \\cdot t + \\phi + \\pi)`}\n

\n \n \n

\n Si applica la prima legge di Newton:\n

\n

\n f(t) = m a\n

\n \n
\n
\n \n

\n Il moto parabolico è dato sommando un moto rettilineo uniforme sull'asse orizzontale e un moto rettilineo uniformemente accelerato sull'asse verticale.\n

\n \n \n

\n Il moto parabolico è dato sommando due moti armonici semplici: uno sull'asse X, e l'altro, sfasato di {r`\\frac{\\pi}{2}`}, sull'asse Y.\n

\n \n
\n
\n \n

\n Velocità angolare\n

\n

\n Quanto cambia la fase nel tempo.\n

\n

\n {r`\\omega = \\frac{2 \\pi}{T}`}\n

\n \n \n

\n E' l'angolo percorso dal corpo rispetto alla posizione iniziale.\n

\n

\n Si indica con {r`\\phi`}, e generalmente si usa in radianti.\n

\n \n \n

\n Si applicano le formule per la circonferenza:\n

\n

\n {r`v = \\frac{\\Delta s}{t} = \\frac{2 \\pi \\cdot r}{T} = \\omega r`}\n

\n \n \n

\n Il corpo ha sempre un accelerazione verso il centro che gli impedisce di abbandonare il moto:\n

\n

\n {r`a = \\frac{v^2}{r} = r \\cdot \\omega^2 = v \\cdot \\omega`}\n

\n \n \n

\n È verso il centro e si calcola con:\n

\n

\n {r`F = m \\cdot a`}\n

\n \n
\n
\n \n

\n E' compiuto da una forza che sposta un corpo.\n

\n

\n {r`W = \\vec{F} \\cdot \\vec{s} = F \\cdot \\Delta s \\cdot cos(\\alpha )`}\n

\n

\n (Se la forza non è parallela allo spostamento, il prodotto scalare ci fa considerare solo la componente parallela.)\n

\n \n \n

\n Un corpo ha energia cinetica in ogni momento uguale a:\n

\n

\n {r`E_c = \\frac{1}{2} m v^2`}\n

\n

\n Se una forza effettua lavoro su un corpo, cambia la sua energia cinetica pari al lavoro effettuato:\n

\n

\n {r`\\Delta E_c = W`}\n

\n \n \n

\n Un corpo ha energia potenziale in ogni momento pari a:\n

\n

\n {r`E_{p_g} = m \\cdot g \\cdot h`}\n

\n

\n (Con h uguale a un altezza scelta come punto di riferimento.)\n

\n \n \n

\n Una molla ha sempre energia potenziale elastica pari a:\n

\n

\n {r`E_{p_e} = \\frac{1}{2} k x^2`}\n

\n \n \n

\n Sono conservative le forze per le quali il lavoro compiuto non dipende dal percorso seguito per andare dalla partenza all'arrivo.\n

\n

\n Ad esempio, è conservativa la forza di gravità, ma non è conservativa la forza di attrito.\n

\n

\n Se in un sistema ci sono solo forze conservative, allora l'energia meccanica totale si conserva:\n

\n

\n {r`E = E_k + E_p`}\n

\n \n \n

\n È la velocità di trasferimento di energia:\n

\n

\n {r`P = \\frac{\\Delta E}{\\Delta t}`}\n

\n \n
\n
\n \n

\n È una proprietà dei corpi che può essere positiva o negativa.\n

\n

\n Si conserva: in un sistema chiuso la carica totale è costante.\n

\n

\n Esiste un'unità elementare: {r`C_{elettrone} = 1.602 \\cdot 10^{-19}`}.\n

\n

\n Cariche opposte si attraggono; cariche uguali si respingono.\n

\n \n \n

\n Più ioni ha un corpo, meglio la carica si muove attraverso di esso.\n

\n

\n I corpi in cui la carica si muove bene sono conduttori, mentre quelli in cui si muove difficilmente sono isolanti.\n

\n

\n Il corpo umano è un buon conduttore.\n

\n \n
\n
\n \n

\n E' possibile polarizzare un corpo per accumulare la carica di un segno in una certa zona.\n

\n \n
\n
\n \n

\n Se un corpo conduttore è in contatto con la Terra, le cariche su di esso saranno equilibrate e il corpo diventerà elettricamente neutro (con stesso numero di cariche positive e negative all'interno).\n

\n \n
\n
\n \n

\n Strofinando tra loro due corpi isolanti, essi si polarizzeranno per strofinio.\n

\n \n \n

\n Toccando un conduttore con un corpo carico, il conduttore potrà polarizzarsi per contatto.\n

\n \n \n

\n Se un corpo conduttore ha cariche \"esterne\" di un certo segno vicino, esso avrà tutte le cariche del segno opposto in equilibrio vicino alle cariche esterne, e tutte le cariche dello stesso segno più lontano possibile da esse.\n

\n

\n Mettendo a terra il conduttore, nuove cariche del segno opposto saranno attratte all'interno del corpo per equilibrare le cariche che si sono allontanate.\n

\n

\n Staccando il conduttore da terra e rimuovendo le cariche esterne, esso si ritroverà caricato del segno opposto rispetto alle cariche esterne.\n

\n \n
\n
\n \n

\n Due corpi carichi si attraggono tra loro con forza:\n

\n

\n {r`\\left | \\vec{F}_{elettrica} \\right | = \\frac{-k \\cdot q_1 \\cdot q_2}{s^2}`}\n

\n

\n {r`k`} è la costante di Coulomb, e vale {r`k = 8.99 \\cdot 10^9 \\frac{N \\cdot m^2}{C^2}`}.\n

\n \n \n

\n La costante {r`k`} è in realtà dipendente da un altra costante, {r`\\epsilon_0`}, la permeabilità del vuoto.\n

\n

\n {r`k = \\frac{1}{4 \\pi \\cdot \\epsilon_0}`}\n

\n

\n {r`\\left | \\vec{F}_{elettrica} \\right | = \\frac{q_1 \\cdot q_2}{4 \\pi \\cdot \\epsilon_0 \\cdot s^2}`}\n

\n \n \n

\n Misura che forza viene applicata in ogni punto su una carica unitaria:\n

\n

\n {r`\\vec{E} = \\frac{\\vec{F}_{elettrica}}{q} = \\frac{-k \\cdot q}{s^2}`}\n

\n \n \n

\n È la differenza tra \"quanto\" campo elettrico entra e quanto campo elettrico esce da una certa area.\n

\n

\n In qualsiasi superficie chiusa, il flusso elettrico è uguale alla componente perpendicolare del campo elettrico moltiplicato per l'area.\n

\n

\n {r`\\Phi_E = \\vec{E} \\cdot \\vec{A}`}\n

\n

\n Se il campo elettrico è uniforme, se ne può calcolare facilmente il valore:\n

\n

\n {r`\\Phi_E = \\vec{E} \\cdot \\vec{A} = E_\\perp \\cdot A \\cdot \\cos(\\alpha)`}\n

\n

\n Circa. E' una specie di integrale...\n

\n \n \n

\n Il flusso elettrico è direttamente proporzionale alla carica presente all'interno della superficie.\n

\n

\n {r`\\Phi_E = 4 \\pi \\cdot k \\cdot q = \\frac{q}{\\epsilon_0}`}\n

\n

\n Ovvero, i campi elettrostatici sono generati dalle cariche elettriche.\n

\n \n
\n
\n \n

\n Un corpo carico vicino ad altre cariche possiede un'energia potenziale elettrica {r`U_e`}.\n

\n \n
\n
\n Potenziale elettrico (tensione)}>\n

\n È il valore dell'energia potenziale elettrica per una carica unitaria.\n

\n

\n {r`V = \\frac{U_e}{q}`}\n

\n

\n La sua unità di misura è il Volt ({r`V`}).\n

\n

\n In una batteria è detto forza elettromotrice, e corrisponde al lavoro compiuto da una batteria ideale per spostare una carica unitaria tra i due poli.\n

\n \n Corrente elettrica (intensità)}>\n

\n Quanta carica passa attraverso un'area (perpendicolare al flusso) nel tempo.\n

\n

\n {r`I = \\frac{\\Delta q}{\\Delta t}`}\n

\n

\n Fintanto che c'è differenza di potenziale, ci sarà anche intensità non nulla.\n

\n

\n La sua unità di misura è l'Ampere ({r`A`}).\n

\n \n Corrente continua (DC)}>\n

\n Quando in un circuito la direzione della corrente è costante.\n

\n \n Corrente alternata (AC)}>\n

\n Quando in un circuito la direzione della corrente si alterna periodicamente.\n

\n \n \n

\n Possiamo calcolare la potenza di un circuito:\n

\n

\n {r`P = \\frac{\\Delta U_e}{\\Delta t} = I \\cdot \\Delta V = I^2 \\cdot R = \\frac{(\\Delta V)^2}{R}`}\n

\n \n
\n
\n \n

\n Riduce l'intensità di corrente, e converte parte del potenziale in calore.\n

\n

\n Il potenziale utilizzato è pari a:\n

\n

\n {r`V = R \\cdot I`}\n

\n

\n Dove {r`R`} è una costante detta resistenza con unità di misura Ohm ({r`\\Omega`}).\n

\n

\n La resistenza di un conduttore vale:\n

\n

\n {r`R = \\rho \\frac{L_{unghezza}}{A_{rea}}`}\n

\n

\n {r`\\rho`} è la resistività del materiale, e varia in base alla temperatura:\n

\n

\n {r`\\rho = \\rho_0 (1 + \\alpha(T - T_0))`}\n

\n \n \n

\n Immagazzina potenziale elettrico, permettendo di riutilizzarla in seguito.\n

\n

\n Per farlo, cattura cariche positive e negative sulle sue due armature; perchè questo avvenga, deve essere compiuto lavoro.\n

\n

\n Ha una capacità caratteristica, che in un condensatore a facce piane parallele è:\n

\n

\n {r`C = \\frac{q_{massima}}{\\Delta V}`}\n

\n

\n Condensatori di capacità maggiore immagazzinano più potenziale con meno carica.\n

\n

\n La capacità aumenta se viene messo qualcosa tra le armature:\n

\n

\n {r`C_{nuova} = \\kappa \\cdot \\frac{\\epsilon_0 \\cdot A}{s}`}\n

\n

\n Dove {r`\\kappa`} è la costante dielettrica relativa del materiale inserito, {r`A`} l'area di una armatura e {r`s`} la distanza tra le due armature.\n

\n

\n Se il campo elettrico creatosi tra le due armature supera la rigidità dielettrica del condensatore, la carica immagazzinata viene persa e ha luogo un breakdown.\n

\n

\n La sua unità di misura è il Farad ({r`Fa`})\n

\n \n \n

\n Misura la corrente elettrica se messo in serie.\n

\n

\n (Funzionamento: ha una resistenza interna bassisima in modo da non influire significativamente sulla corrente.)\n

\n \n \n

\n Misura la differenza di potenziale se messo in parallelo.\n

\n

\n (Funzionamento: ha una resistenza altissima in modo da non influire significativamente sulla tensione.)\n

\n \n
\n
\n \n

\n Per nodo si intende un qualsiasi punto del circuito.\n

\n

\n Da un nodo entra ed esce la stessa corrente.\n

\n \n \n

\n Per maglia si intende un qualsiasi percorso chiuso all'interno del circuito.\n

\n

\n In una maglia chiusa, la somma delle differenze di potenziale è 0.\n

\n \n
\n
\n \n

\n Più parti di circuito sono in serie se sono consecutive e senza biforcazioni.\n

\n

\n Parti di circuito in serie sono attraversate dalla stessa corrente.\n

\n \n \n

\n Più parti di circuito sono in parallelo tra loro se hanno lo stesso punto di partenza e lo stesso punto di arrivo.\n

\n

\n Parti di circuito in parallelo hanno la stessa differenza di potenziale.\n

\n \n
\n
\n \n

\n Nei circuiti in serie, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza della somma di tutte le quelle sostituite:\n

\n

\n {r`R_{serie} = \\sum_{i=1}^{n} R_i`}\n

\n \n \n

\n Nei circuiti in parallelo, tutte le resistenze possono essere sostituite con una equivalente dalla resistenza di:\n

\n

\n {r`R_{parallelo} = \\frac{1}{\\sum_{i=1}^{n} \\frac{1}{R_i}}`}\n

\n \n
\n
\n \n

\n Nei circuiti in serie, tutti i condensatori possono essere sostituiti con uno equivalente dalla capacità di:\n

\n

\n {r`C_{serie} = \\frac{1}{\\sum_{i=1}^{n} \\frac{1}{C_i}}`}\n

\n \n \n

\n Nei circuiti in parallelo, tutte i condensatori possono essere sostituite con uno equivalente dalla capacità della somma di tutti quelli sostituiti:\n

\n

\n {r`C_{parallelo} = \\sum_{i=1}^{n} C_n`}\n

\n \n
\n
\n \n

\n E' una costante fisica fondamentale che rappresenta quanto un materiale si magnetizza facilmente.\n

\n

\n {r`\\mu_0 = 4 \\pi \\cdot 10^{-7} \\frac{H}{m}`} ({r`\\frac{N}{A^2}`})\n

\n \n \n

\n Come un campo elettrico, ma per i magneti.\n

\n

\n Il suo simbolo è {r`B`}, e la sua unità di misura è il Tesla (T).\n

\n \n \n

\n È \"quanto\" campo magnetico attraversa un percorso chiuso.\n

\n

\n Per qualsiasi percorso chiuso, il flusso magnetico è uguale alla somma di tutti i \"sottoflussi\" magnetici calcolati sui suoi lati.\n

\n

\n {r`\\Phi_{B_{i}} = \\vec{B} \\cdot \\vec{L}_n = B \\cdot L_i \\cdot \\sin(\\alpha) = B_\\parallel \\cdot L_i`}\n

\n

\n {r`\\Phi_{B} = \\sum_{i=0}^{n_{lati}} \\Phi_{Bn}`}\n

\n

\n La sua unità di misura è il Weber ({r`Wb = T \\cdot m^2`}).\n

\n \n \n

\n Il flusso magnetico attraverso qualsiasi superficie chiusa è sempre nullo.\n

\n

\n Ovvero, non esistono monopoli magnetici.\n

\n \n \n

\n L'intensità di corrente che attraversa un percorso chiuso è direttamente proporzionale al flusso magnetico dello stesso percorso.\n

\n

\n {r`\\Phi_B = \\mu_0 \\cdot I`}\n

\n \n
\n
\n Forza magnetica su carica puntiforme (Forza di Lorentz)}>\n

\n I campi magnetici applicano una forza sulle cariche vicine:\n

\n

\n {r`\\vec{F}_{B} = q \\cdot (\\vec{v} \\times \\vec{B})`}\n

\n

\n Dove {r`\\vec{B}`} è l'intensità del campo magnetico e {r`\\vec{v}`} la velocità della carica considerata.\n

\n

\n Si ha una forza massima se la velocità è perpendicolare al campo magnetico.\n

\n

\n In un campo magnetico uniforme, una velocità perpendicolare al campo porta alla creazione di un moto circolare uniforme.\n

\n \n \n

\n I campi magnetici influenzano ovviamente anche le cariche presenti in un conduttore:\n

\n

\n {r`\\vec{F}_{magnetica} = I \\cdot (\\vec{L} \\times \\vec{B})`} [1]\n

\n

\n Dove {r`I`} è la corrente elettrica, {r`\\vec{L}`} è un vettore che punta nella direzione di scorrimento della corrente e ha come modulo la lunghezza del conduttore.\n

\n \n
\n
\n \n

\n Una spira in cui passa corrente produce un campo magnetico perpendicolare al piano creato dalla spira.\n

\n \n \n

\n Un solenoide sono tante spire avvolte in modo da formare una specie di cilindro.\n

\n

\n All'interno del solenoide si crea un campo (quasi) uniforme:\n

\n

\n {r`\\left | \\vec{B} \\right | = \\mu_0 \\cdot I \\cdot \\frac{A_{vvolgimenti}}{L_{unghezzafilo}}`}\n

\n \n \n

\n Caso particolare della Legge di Ampère.\n

\n

\n Il modulo del campo magnetico B prodotto da un filo in cui passa una corrente continua I alla distanza s è:\n

\n

\n {r`\\left | \\vec{B} \\right | = \\frac{\\mu \\cdot I}{2 \\pi r}`}\n

\n

\n Il campo magnetico così creato gira attorno al filo in senso antiorario.\n

\n

\n Due fili attraversati dalla stessa corrente si attraggono, due fili attraversati da correnti opposte si respingono.\n

\n \n
\n
\n \n

\n Un conduttore perpendicolare ad un campo magnetico può ottenere una differenza di potenziale se messo in movimento in un direzione perpendicolare alla direzione del conduttore e del campo.\n

\n

\n La differenza di potenziale si crea a causa della forza magnetica, che fa spostare tutti gli elettroni verso un capo del conduttore.\n

\n

\n Essa vale:\n

\n

\n {r`\\Delta V_{indotta} = v \\cdot B \\cdot L`}\n

\n

\n Dove v è la velocità del conduttore, B è l'intensità del campo magnetico ed L è la lunghezza del conduttore.\n

\n \n \n

\n In un campo magnetico {r`B`} uniforme e perpendicolare al piano di una spira di area {r`A`}, il flusso magnetico si può determinare con la Legge di Faraday-Neumann-Lenz:\n

\n

\n {r`\\Phi_B = \\vec{B} \\cdot \\vec{A} = B \\cdot A \\cdot \\cos(\\alpha)`}\n

\n \n
\n
\n \n

\n Dice che la forza elettromotrice media indotta in un percorso dipende dalla variazione nel tempo del flusso magnetico nello stesso percorso.\n

\n

\n {r`\\Delta V_{indotta} = - \\frac{\\Delta \\Phi_B}{\\Delta t}`}\n

\n

\n Il meno è dovuto alla Legge di Lenz, che specifica qualitativamente il verso della forza elettromotrice indotta.\n

\n \n \n

\n In un solenoide, la forza elettromotrice indotta è uguale a:\n

\n

\n {r`\\Delta V_{indotta} = - \\frac{N \\cdot \\Delta \\Phi_{B_{spira}}}{\\Delta t} = - \\frac{N \\cdot B \\cdot A \\cdot cos(\\alpha)}{\\Delta t}`}\n

\n

\n Dove {r`N`} è il numero delle spire del solenoide.\n

\n \n \n

\n Correnti o campi elettrici variabili creano un campo magnetico.\n

\n \n
\n
\n \n

\n Nel vuoto, il campo elettrico {r`E`} e il campo magnetico {r`B`} sono perpendicolari tra loro e la direzione di propagazione, e sono entrambe funzioni del tempo.\n

\n

\n Si dice quindi che sono onde elettromagnetiche.\n

\n

\n Esse sono legate dalla relazione:\n

\n

\n {r`E = c \\cdot B`}\n

\n

\n Dove {r`c`} è la velocità delle onde (luce) nel vuoto, e a sua volta è uguale a:\n

\n

\n {r`c = \\frac{1}{\\sqrt{\\epsilon_0 \\cdot \\mu_0}} = 3.00 \\cdot 10^8 \\frac{m}{s}`}\n

\n \n \n

\n {r`A(t) = A_{max} \\cdot \\sin \\left ( \\frac{2 \\pi}{\\lambda} - \\omega t + \\phi \\right )`}\n

\n

\n Dove {r`A_{max}`} è l'ampiezza massima che può avere l'onda, {r`\\frac{2 \\pi}{\\lambda} = \\left | \\vec{k} \\right |`} è il vettore d'onda, {r`\\omega`} la frequenza angolare e {r`\\phi`} la fase.\n

\n \n
\n
\n \n

\n I solidi, se portati ad alta temperatura, emettono luce con uno spettro continuo.\n

\n

\n I gas, invece, ad alta temperatura emettono luce solo con particolari lunghezze d'onda.\n

\n

\n In un gas di idrogeno, le lunghezze d'onda emesse sono ricavabili con:\n

\n

\n {r`\\frac{1}{\\lambda} = R \\left ( \\frac{1}{4} - \\frac{1}{n^2} \\right )`}\n

\n

\n Con {r`R = 1.097 \\cdot 10^7 \\frac{1}{m}`}, detta costante di Rydberg, e {r`n`} un numero intero.\n

\n \n \n

\n Una grandezza si dice quantizzata (o discreta) se può assumere solo determinati valori.\n

\n

\n Una grandezza si dice continua se può assumere qualsiasi valore e quindi se non è quantizzata.\n

\n

\n Energia, momento angolare e raggio sono quantizzati.\n

\n

\n Nota costante quantica è {r`h`}, la costante di Planck, ovvero il valore minimo possibile per la carica (talvolta espressa come {r`\\hbar = \\left ( \\frac{h}{2 \\pi} \\right )`}.\n

\n \n
\n
\n \n

\n L'energia degli elettroni è quantizzata.\n

\n

\n Inoltre, per essi è valido che:\n

\n

\n {r`m \\cdot v_n \\cdot 2 \\pi \\cdot r = n \\cdot h`}\n

\n

\n Ancora, il raggio delle orbite è uguale a:\n

\n

\n {r`r_n = n^2 \\cdot a_0 = n^2 \\cdot \\frac{\\hbar}{m_{elettrone} \\cdot k \\cdot e^2} `}\n

\n

\n Con {r`a_0 = \\left ( \\frac{h}{2 \\pi} \\right )^2 \\cdot \\frac{1}{m_{elettrone} \\cdot k \\cdot e^2} = 5.29 \\cdot 10^{-11} m`}.\n

\n

\n Infine, in ogni stato, l'energia è pari a:\n

\n

\n {r`E_n = \\frac{1}{n^2} \\cdot E_1 = - \\frac{1}{n^2} \\cdot \\frac{a_0^2}{2 \\cdot m \\cdot \\hbar^4} = - \\frac{1}{n^2} \\cdot \\frac{m_{elettrone} \\cdot k^2 \\cdot e^4}{2 \\cdot \\hbar^2}`}\n

\n

\n Due elettroni non possono occupare lo stesso stato.\n

\n

\n Questo modello funziona solo per atomi con numero atomico basso. Atomi con molti elettroni hanno comportamenti diversi, descritti dal modello di\n

\n \n
\n
\n \n

\n Nei solidi, le lunghezze d'onda sono talmente tanto vicine da poter essere considerate una banda.\n

\n

\n Possono però comunque avere dei gap dovuti agli intervalli di energia non ammessi.\n

\n \n
\n
\n \n

\n Refactor this\n

\n

\n Se la banda di emissione con energia più alta di un corpo è assente o è separata da un gap dell'ordine di grandezza maggiore di {r`10^1 eV`}, allora il corpo è un isolante.\n

\n

\n Se invece la banda di emissione si sovrappone a un altra, allora il corpo è un conduttore.\n

\n

\n Se il gap è invece dell'ordine di grandezza di {r`1 eV`}, allora il corpo è un semiconduttore.\n

\n \n \n

\n Legami in cui mancano elettroni.\n

\n

\n Elettroni di altri legami possono spostarsi per colmare le lacune, creandone altre, e spostandole in direzione opposta a quella della corrente.\n

\n \n \n

\n Se si inserisce in un cristallo semiconduttore si inserisce un atomo con numero atomico diverso, si otterrà:\n

\n
    \n
  • Con numero atomico maggiore, un semiconduttore di tipo N con elettroni in eccesso liberi di scorrere.
    • \n
  • Con numero atomico minore, un semiconduttore di tipo P con lacune in eccesso libere di catturare elettroni da altri legami.
    • \n
\n

\n Maggiore impurezza porta a maggiore conduttività.\n

\n \n \n

\n Aumentando la temperatura di un semiconduttore si aumenta la conduttività, perchè eccita le particelle e favorisce il movimento di elettroni e lacune.\n

\n \n
\n
Ottica (non l'abbiamo fatta)}>\n \n

\n I corpi possono assorbire o riflettere le onde elettromagnetiche che li colpiscono.\n

\n \n \n

\n Un corpo nero è un corpo che assorbe tutte le onde elettromagnetiche che riceve senza rifletterne nessuna.\n

\n

\n Le onde assorbite vengono poi riemesse sotto forma di un onda di {r`\\lambda`} variabile in base alla temperatura.\n

\n

\n {r`\\lambda_{max} \\cdot T`} è costante.\n

\n \n \n

\n L'energia assorbita e emessa dai corpi neri è quantizzata.\n

\n \n \n

\n Un onda magnetica con un quanto di energia è detta fotone:\n

\n

\n {r`E_{fotone} = h \\cdot f`}\n

\n \n \n

\n A volte, i fotoni che colpiscono un metallo possono estrarvi degli elettroni e creare una differenza di potenziale.\n

\n

\n Perchè avvenga, la frequenza deve essere maggiore di una certa soglia.\n

\n

\n Il numero di elettroni estratti dipende dall'intensità dell'onda, mentre l'energia cinetica degli elettroni dipende dalla frequenza.\n

\n

\n Non c'è nessun ritardo tra l'assorbimento del fotone e l'estrazione di elettroni.\n

\n \n
\n
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",t("a",{href:"https://www.unimore.it/didattica/mlaurea.html?ID=54"},"corso triennale di Informatica")," all'",t("a",{href:"https://www.unimore.it/"},"Unimore"),", tenute dalla ",t("a",{href:"https://personale.unimore.it/rubrica/dettaglio/brunetti"},"Prof.ssa Rossella Brunetti")," nel primo semestre dell'Anno Accademico 2019/2020.")),t(r.a,{title:t("a",{href:"https://github.com/Steffo99/appunti-universitari/tree/master/2019_SistemiOperativi/Arzigogoli"},t(a.a,{icon:c.a})," Sistemi Operativi")},t("p",null,"Soluzioni agli ",t("a",{href:"https://weblab.ing.unimore.it/people/andreolini/didattica/sistemi-operativi/index.html#arzigogoli"},"Arzigogoli")," proposti dal ",t("a",{href:"https://personale.unimore.it/rubrica/dettaglio/andreolini"},"Prof. Mauro Andreolini")," durante le ",t("a",{href:"https://personale.unimore.it/rubrica/contenutiad/andreolini/2019/58027/N0/N0/9999"},"lezioni di Sistemi Operativi")," del ",t("a",{href:"https://www.unimore.it/didattica/mlaurea.html?ID=54"},"corso triennale di Informatica")," all'",t("a",{href:"https://www.unimore.it/"},"Unimore")," tenutesi nel primo semestre dell'Anno Accademico 2019/2020.")),t(r.a,{title:t("a",{href:"/algoritmiestrutturedati"},"Algoritmi e Strutture Dati")},t("p",null,"Appunti delle ",t("a",{href:"https://personale.unimore.it/rubrica/contenutiad/mmontangero/2018/58133/N0/N0/9999"},"lezioni di Algoritmi e Strutture Dati")," del ",t("a",{href:"https://www.unimore.it/didattica/mlaurea.html?ID=54"},"corso triennale di Informatica")," all'",t("a",{href:"https://www.unimore.it/"},"Unimore"),", tenute dalla ",t("a",{href:"https://personale.unimore.it/rubrica/dettaglio/mmontangero"},"Prof.ssa Manuela Montangero")," nel secondo semestre dell'Anno Accademico 2018/2019."),t("p",null,t(o.a,null,"TODO: finisci di migrare da GitHub!"))),t(r.a,{title:t("a",{href:"/vldigeometria"},"Videolezioni di Geometria")},t("p",null,"Ottime videolezioni di Geometria con licenza 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",t("a",{href:"https://www.unimore.it/didattica/mlaurea.html?ID=54"},"corso triennale di Informatica")," all'",t("a",{href:"https://www.unimore.it/"},"Unimore"),", tenute dalla ",t("a",{href:"https://personale.unimore.it/rubrica/dettaglio/brunetti"},"Prof.ssa Rossella Brunetti")," nel primo semestre dell'Anno Accademico 2019/2020.")),t(r.a,{title:t("a",{href:"https://github.com/Steffo99/appunti-universitari/tree/master/2019_SistemiOperativi/Arzigogoli"},t(o.a,{icon:c.a})," Sistemi Operativi")},t("p",null,"Soluzioni agli ",t("a",{href:"https://weblab.ing.unimore.it/people/andreolini/didattica/sistemi-operativi/index.html#arzigogoli"},"Arzigogoli")," proposti dal ",t("a",{href:"https://personale.unimore.it/rubrica/dettaglio/andreolini"},"Prof. Mauro Andreolini")," durante le ",t("a",{href:"https://personale.unimore.it/rubrica/contenutiad/andreolini/2019/58027/N0/N0/9999"},"lezioni di Sistemi Operativi")," del ",t("a",{href:"https://www.unimore.it/didattica/mlaurea.html?ID=54"},"corso triennale di Informatica")," all'",t("a",{href:"https://www.unimore.it/"},"Unimore")," tenutesi nel primo semestre dell'Anno Accademico 2019/2020.")),t(r.a,{title:t("a",{href:"/algoritmiestrutturedati"},"Algoritmi e Strutture Dati")},t("p",null,"Appunti delle ",t("a",{href:"https://personale.unimore.it/rubrica/contenutiad/mmontangero/2018/58133/N0/N0/9999"},"lezioni di Algoritmi e Strutture Dati")," del ",t("a",{href:"https://www.unimore.it/didattica/mlaurea.html?ID=54"},"corso triennale di Informatica")," all'",t("a",{href:"https://www.unimore.it/"},"Unimore"),", tenute dalla ",t("a",{href:"https://personale.unimore.it/rubrica/dettaglio/mmontangero"},"Prof.ssa Manuela Montangero")," nel secondo semestre dell'Anno Accademico 2018/2019."),t("p",null,t(a.a,null,"TODO: finisci di migrare da GitHub!"))),t(r.a,{title:t("a",{href:"/vldigeometria"},"Videolezioni di Geometria")},t("p",null,"Ottime videolezioni di Geometria con licenza 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faFreebsd = {\n prefix: 'fab',\n iconName: 'freebsd',\n icon: [448, 512, [], \"f3a4\", \"M303.7 96.2c11.1-11.1 115.5-77 139.2-53.2 23.7 23.7-42.1 128.1-53.2 139.2-11.1 11.1-39.4.9-63.1-22.9-23.8-23.7-34.1-52-22.9-63.1zM109.9 68.1C73.6 47.5 22 24.6 5.6 41.1c-16.6 16.6 7.1 69.4 27.9 105.7 18.5-32.2 44.8-59.3 76.4-78.7zM406.7 174c3.3 11.3 2.7 20.7-2.7 26.1-20.3 20.3-87.5-27-109.3-70.1-18-32.3-11.1-53.4 14.9-48.7 5.7-3.6 12.3-7.6 19.6-11.6-29.8-15.5-63.6-24.3-99.5-24.3-119.1 0-215.6 96.5-215.6 215.6 0 119 96.5 215.6 215.6 215.6S445.3 380.1 445.3 261c0-38.4-10.1-74.5-27.7-105.8-3.9 7-7.6 13.3-10.9 18.8z\"]\n};\nvar faFulcrum = {\n prefix: 'fab',\n iconName: 'fulcrum',\n icon: [320, 512, [], \"f50b\", \"M95.75 164.14l-35.38 43.55L25 164.14l35.38-43.55zM144.23 0l-20.54 198.18L72.72 256l51 57.82L144.23 512V300.89L103.15 256l41.08-44.89zm79.67 164.14l35.38 43.55 35.38-43.55-35.38-43.55zm-48.48 47L216.5 256l-41.08 44.89V512L196 313.82 247 256l-51-57.82L175.42 0z\"]\n};\nvar faGalacticRepublic = 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faBity: faBity,\n faBlackTie: faBlackTie,\n faBlackberry: faBlackberry,\n faBlogger: faBlogger,\n faBloggerB: faBloggerB,\n faBluetooth: faBluetooth,\n faBluetoothB: faBluetoothB,\n faBootstrap: faBootstrap,\n faBtc: faBtc,\n faBuffer: faBuffer,\n faBuromobelexperte: faBuromobelexperte,\n faBuyNLarge: faBuyNLarge,\n faBuysellads: faBuysellads,\n faCanadianMapleLeaf: faCanadianMapleLeaf,\n faCcAmazonPay: faCcAmazonPay,\n faCcAmex: faCcAmex,\n faCcApplePay: faCcApplePay,\n faCcDinersClub: faCcDinersClub,\n faCcDiscover: faCcDiscover,\n faCcJcb: faCcJcb,\n faCcMastercard: faCcMastercard,\n faCcPaypal: faCcPaypal,\n faCcStripe: faCcStripe,\n faCcVisa: faCcVisa,\n faCentercode: faCentercode,\n faCentos: faCentos,\n faChrome: faChrome,\n faChromecast: faChromecast,\n faCloudscale: faCloudscale,\n faCloudsmith: faCloudsmith,\n faCloudversify: faCloudversify,\n faCodepen: faCodepen,\n faCodiepie: faCodiepie,\n faConfluence: faConfluence,\n faConnectdevelop: faConnectdevelop,\n faContao: faContao,\n faCottonBureau: faCottonBureau,\n faCpanel: faCpanel,\n faCreativeCommons: faCreativeCommons,\n faCreativeCommonsBy: faCreativeCommonsBy,\n faCreativeCommonsNc: faCreativeCommonsNc,\n faCreativeCommonsNcEu: faCreativeCommonsNcEu,\n faCreativeCommonsNcJp: faCreativeCommonsNcJp,\n faCreativeCommonsNd: faCreativeCommonsNd,\n faCreativeCommonsPd: faCreativeCommonsPd,\n faCreativeCommonsPdAlt: faCreativeCommonsPdAlt,\n faCreativeCommonsRemix: faCreativeCommonsRemix,\n faCreativeCommonsSa: faCreativeCommonsSa,\n faCreativeCommonsSampling: faCreativeCommonsSampling,\n faCreativeCommonsSamplingPlus: faCreativeCommonsSamplingPlus,\n faCreativeCommonsShare: faCreativeCommonsShare,\n faCreativeCommonsZero: faCreativeCommonsZero,\n faCriticalRole: faCriticalRole,\n faCss3: faCss3,\n faCss3Alt: faCss3Alt,\n faCuttlefish: faCuttlefish,\n faDAndD: faDAndD,\n faDAndDBeyond: faDAndDBeyond,\n faDailymotion: faDailymotion,\n faDashcube: faDashcube,\n faDelicious: faDelicious,\n faDeploydog: faDeploydog,\n faDeskpro: faDeskpro,\n faDev: faDev,\n faDeviantart: faDeviantart,\n faDhl: faDhl,\n faDiaspora: faDiaspora,\n faDigg: faDigg,\n faDigitalOcean: faDigitalOcean,\n faDiscord: faDiscord,\n faDiscourse: faDiscourse,\n faDochub: faDochub,\n faDocker: faDocker,\n faDraft2digital: faDraft2digital,\n faDribbble: faDribbble,\n faDribbbleSquare: faDribbbleSquare,\n faDropbox: faDropbox,\n faDrupal: faDrupal,\n faDyalog: faDyalog,\n faEarlybirds: faEarlybirds,\n faEbay: faEbay,\n faEdge: faEdge,\n faElementor: faElementor,\n faEllo: faEllo,\n faEmber: faEmber,\n faEmpire: faEmpire,\n faEnvira: faEnvira,\n faErlang: faErlang,\n faEthereum: faEthereum,\n faEtsy: faEtsy,\n faEvernote: faEvernote,\n faExpeditedssl: faExpeditedssl,\n faFacebook: faFacebook,\n faFacebookF: faFacebookF,\n faFacebookMessenger: faFacebookMessenger,\n faFacebookSquare: faFacebookSquare,\n faFantasyFlightGames: faFantasyFlightGames,\n faFedex: faFedex,\n faFedora: faFedora,\n faFigma: faFigma,\n faFirefox: faFirefox,\n faFirefoxBrowser: faFirefoxBrowser,\n faFirstOrder: faFirstOrder,\n faFirstOrderAlt: faFirstOrderAlt,\n faFirstdraft: faFirstdraft,\n faFlickr: faFlickr,\n faFlipboard: faFlipboard,\n faFly: faFly,\n faFontAwesome: faFontAwesome,\n faFontAwesomeAlt: faFontAwesomeAlt,\n faFontAwesomeFlag: faFontAwesomeFlag,\n faFontAwesomeLogoFull: faFontAwesomeLogoFull,\n faFonticons: faFonticons,\n faFonticonsFi: faFonticonsFi,\n faFortAwesome: faFortAwesome,\n faFortAwesomeAlt: faFortAwesomeAlt,\n faForumbee: faForumbee,\n faFoursquare: faFoursquare,\n faFreeCodeCamp: faFreeCodeCamp,\n faFreebsd: faFreebsd,\n faFulcrum: faFulcrum,\n faGalacticRepublic: faGalacticRepublic,\n faGalacticSenate: faGalacticSenate,\n faGetPocket: faGetPocket,\n faGg: faGg,\n faGgCircle: faGgCircle,\n faGit: faGit,\n faGitAlt: faGitAlt,\n faGitSquare: faGitSquare,\n faGithub: faGithub,\n faGithubAlt: faGithubAlt,\n faGithubSquare: faGithubSquare,\n faGitkraken: faGitkraken,\n faGitlab: faGitlab,\n faGitter: faGitter,\n faGlide: faGlide,\n faGlideG: faGlideG,\n faGofore: faGofore,\n faGoodreads: faGoodreads,\n faGoodreadsG: faGoodreadsG,\n faGoogle: faGoogle,\n faGoogleDrive: faGoogleDrive,\n faGooglePlay: faGooglePlay,\n faGooglePlus: faGooglePlus,\n faGooglePlusG: faGooglePlusG,\n faGooglePlusSquare: faGooglePlusSquare,\n faGoogleWallet: faGoogleWallet,\n faGratipay: faGratipay,\n faGrav: faGrav,\n faGripfire: faGripfire,\n faGrunt: faGrunt,\n faGulp: faGulp,\n faHackerNews: faHackerNews,\n faHackerNewsSquare: faHackerNewsSquare,\n faHackerrank: faHackerrank,\n faHips: faHips,\n faHireAHelper: faHireAHelper,\n faHooli: faHooli,\n faHornbill: faHornbill,\n faHotjar: faHotjar,\n faHouzz: faHouzz,\n faHtml5: faHtml5,\n faHubspot: faHubspot,\n faIdeal: faIdeal,\n faImdb: faImdb,\n faInstagram: faInstagram,\n faInstagramSquare: faInstagramSquare,\n faIntercom: faIntercom,\n faInternetExplorer: faInternetExplorer,\n faInvision: faInvision,\n faIoxhost: faIoxhost,\n faItchIo: faItchIo,\n faItunes: faItunes,\n faItunesNote: faItunesNote,\n faJava: faJava,\n faJediOrder: faJediOrder,\n faJenkins: faJenkins,\n faJira: faJira,\n faJoget: faJoget,\n faJoomla: faJoomla,\n faJs: faJs,\n faJsSquare: faJsSquare,\n faJsfiddle: faJsfiddle,\n faKaggle: faKaggle,\n faKeybase: faKeybase,\n faKeycdn: faKeycdn,\n faKickstarter: faKickstarter,\n faKickstarterK: faKickstarterK,\n faKorvue: faKorvue,\n faLaravel: faLaravel,\n faLastfm: faLastfm,\n faLastfmSquare: faLastfmSquare,\n faLeanpub: faLeanpub,\n faLess: faLess,\n faLine: faLine,\n faLinkedin: faLinkedin,\n faLinkedinIn: faLinkedinIn,\n faLinode: faLinode,\n faLinux: faLinux,\n faLyft: faLyft,\n faMagento: faMagento,\n faMailchimp: faMailchimp,\n faMandalorian: faMandalorian,\n faMarkdown: faMarkdown,\n faMastodon: faMastodon,\n faMaxcdn: faMaxcdn,\n faMdb: faMdb,\n faMedapps: faMedapps,\n faMedium: faMedium,\n faMediumM: faMediumM,\n faMedrt: faMedrt,\n faMeetup: faMeetup,\n faMegaport: faMegaport,\n faMendeley: faMendeley,\n faMicroblog: faMicroblog,\n faMicrosoft: faMicrosoft,\n faMix: faMix,\n faMixcloud: faMixcloud,\n faMixer: faMixer,\n faMizuni: faMizuni,\n faModx: faModx,\n faMonero: faMonero,\n faNapster: faNapster,\n faNeos: faNeos,\n faNimblr: faNimblr,\n faNode: faNode,\n faNodeJs: faNodeJs,\n faNpm: faNpm,\n faNs8: faNs8,\n faNutritionix: faNutritionix,\n faOdnoklassniki: faOdnoklassniki,\n faOdnoklassnikiSquare: faOdnoklassnikiSquare,\n faOldRepublic: faOldRepublic,\n faOpencart: faOpencart,\n faOpenid: faOpenid,\n faOpera: faOpera,\n faOptinMonster: faOptinMonster,\n faOrcid: faOrcid,\n faOsi: faOsi,\n faPage4: faPage4,\n faPagelines: faPagelines,\n faPalfed: faPalfed,\n faPatreon: faPatreon,\n faPaypal: faPaypal,\n faPennyArcade: faPennyArcade,\n faPeriscope: faPeriscope,\n faPhabricator: faPhabricator,\n faPhoenixFramework: faPhoenixFramework,\n faPhoenixSquadron: faPhoenixSquadron,\n faPhp: faPhp,\n faPiedPiper: faPiedPiper,\n faPiedPiperAlt: faPiedPiperAlt,\n faPiedPiperHat: faPiedPiperHat,\n faPiedPiperPp: faPiedPiperPp,\n faPiedPiperSquare: faPiedPiperSquare,\n faPinterest: faPinterest,\n faPinterestP: faPinterestP,\n faPinterestSquare: faPinterestSquare,\n faPlaystation: faPlaystation,\n faProductHunt: faProductHunt,\n faPushed: faPushed,\n faPython: faPython,\n faQq: faQq,\n faQuinscape: faQuinscape,\n faQuora: faQuora,\n faRProject: faRProject,\n faRaspberryPi: faRaspberryPi,\n faRavelry: faRavelry,\n faReact: faReact,\n faReacteurope: faReacteurope,\n faReadme: faReadme,\n faRebel: faRebel,\n faRedRiver: faRedRiver,\n faReddit: faReddit,\n faRedditAlien: faRedditAlien,\n faRedditSquare: faRedditSquare,\n faRedhat: faRedhat,\n faRenren: faRenren,\n faReplyd: faReplyd,\n faResearchgate: faResearchgate,\n faResolving: faResolving,\n faRev: faRev,\n faRocketchat: faRocketchat,\n faRockrms: faRockrms,\n faSafari: faSafari,\n faSalesforce: faSalesforce,\n faSass: faSass,\n faSchlix: faSchlix,\n faScribd: faScribd,\n faSearchengin: faSearchengin,\n faSellcast: faSellcast,\n faSellsy: faSellsy,\n faServicestack: faServicestack,\n faShirtsinbulk: faShirtsinbulk,\n faShopify: faShopify,\n faShopware: faShopware,\n faSimplybuilt: faSimplybuilt,\n faSistrix: faSistrix,\n faSith: faSith,\n faSketch: faSketch,\n faSkyatlas: faSkyatlas,\n faSkype: faSkype,\n faSlack: faSlack,\n faSlackHash: faSlackHash,\n faSlideshare: faSlideshare,\n faSnapchat: faSnapchat,\n faSnapchatGhost: faSnapchatGhost,\n faSnapchatSquare: faSnapchatSquare,\n faSoundcloud: faSoundcloud,\n faSourcetree: faSourcetree,\n faSpeakap: faSpeakap,\n faSpeakerDeck: faSpeakerDeck,\n faSpotify: faSpotify,\n faSquarespace: faSquarespace,\n faStackExchange: faStackExchange,\n faStackOverflow: faStackOverflow,\n faStackpath: faStackpath,\n faStaylinked: faStaylinked,\n faSteam: faSteam,\n faSteamSquare: faSteamSquare,\n faSteamSymbol: faSteamSymbol,\n faStickerMule: faStickerMule,\n faStrava: faStrava,\n faStripe: faStripe,\n faStripeS: faStripeS,\n faStudiovinari: faStudiovinari,\n faStumbleupon: faStumbleupon,\n faStumbleuponCircle: faStumbleuponCircle,\n faSuperpowers: faSuperpowers,\n faSupple: faSupple,\n faSuse: faSuse,\n faSwift: faSwift,\n faSymfony: faSymfony,\n faTeamspeak: faTeamspeak,\n faTelegram: faTelegram,\n faTelegramPlane: faTelegramPlane,\n faTencentWeibo: faTencentWeibo,\n faTheRedYeti: faTheRedYeti,\n faThemeco: faThemeco,\n faThemeisle: faThemeisle,\n faThinkPeaks: faThinkPeaks,\n faTradeFederation: faTradeFederation,\n faTrello: faTrello,\n faTripadvisor: faTripadvisor,\n faTumblr: faTumblr,\n faTumblrSquare: faTumblrSquare,\n faTwitch: faTwitch,\n faTwitter: faTwitter,\n faTwitterSquare: faTwitterSquare,\n faTypo3: faTypo3,\n faUber: faUber,\n faUbuntu: faUbuntu,\n faUikit: faUikit,\n faUmbraco: faUmbraco,\n faUniregistry: faUniregistry,\n faUnity: faUnity,\n faUntappd: faUntappd,\n faUps: faUps,\n faUsb: faUsb,\n faUsps: faUsps,\n faUssunnah: faUssunnah,\n faVaadin: faVaadin,\n faViacoin: faViacoin,\n faViadeo: faViadeo,\n faViadeoSquare: faViadeoSquare,\n faViber: faViber,\n faVimeo: faVimeo,\n faVimeoSquare: faVimeoSquare,\n faVimeoV: faVimeoV,\n faVine: faVine,\n faVk: faVk,\n faVnv: faVnv,\n faVuejs: faVuejs,\n faWaze: faWaze,\n faWeebly: faWeebly,\n faWeibo: faWeibo,\n faWeixin: faWeixin,\n faWhatsapp: faWhatsapp,\n faWhatsappSquare: faWhatsappSquare,\n faWhmcs: faWhmcs,\n faWikipediaW: faWikipediaW,\n faWindows: faWindows,\n faWix: faWix,\n faWizardsOfTheCoast: faWizardsOfTheCoast,\n faWolfPackBattalion: faWolfPackBattalion,\n faWordpress: faWordpress,\n faWordpressSimple: faWordpressSimple,\n faWpbeginner: faWpbeginner,\n faWpexplorer: faWpexplorer,\n faWpforms: faWpforms,\n faWpressr: faWpressr,\n faXbox: faXbox,\n faXing: faXing,\n faXingSquare: faXingSquare,\n faYCombinator: faYCombinator,\n faYahoo: faYahoo,\n faYammer: faYammer,\n faYandex: faYandex,\n faYandexInternational: faYandexInternational,\n faYarn: faYarn,\n faYelp: faYelp,\n faYoast: faYoast,\n faYoutube: faYoutube,\n faYoutubeSquare: faYoutubeSquare,\n faZhihu: faZhihu\n};\n\nexport { _iconsCache as fab, prefix, fa500px, faAccessibleIcon, faAccusoft, faAcquisitionsIncorporated, faAdn, faAdobe, faAdversal, faAffiliatetheme, faAirbnb, faAlgolia, faAlipay, faAmazon, faAmazonPay, faAmilia, faAndroid, faAngellist, faAngrycreative, faAngular, faAppStore, faAppStoreIos, faApper, faApple, faApplePay, faArtstation, faAsymmetrik, faAtlassian, faAudible, faAutoprefixer, faAvianex, faAviato, faAws, faBandcamp, faBattleNet, faBehance, faBehanceSquare, faBimobject, faBitbucket, faBitcoin, faBity, faBlackTie, faBlackberry, faBlogger, faBloggerB, faBluetooth, faBluetoothB, faBootstrap, faBtc, faBuffer, faBuromobelexperte, faBuyNLarge, faBuysellads, faCanadianMapleLeaf, faCcAmazonPay, faCcAmex, faCcApplePay, faCcDinersClub, faCcDiscover, faCcJcb, faCcMastercard, faCcPaypal, faCcStripe, faCcVisa, faCentercode, faCentos, faChrome, faChromecast, faCloudscale, faCloudsmith, faCloudversify, faCodepen, faCodiepie, faConfluence, faConnectdevelop, faContao, faCottonBureau, faCpanel, faCreativeCommons, faCreativeCommonsBy, faCreativeCommonsNc, faCreativeCommonsNcEu, faCreativeCommonsNcJp, faCreativeCommonsNd, faCreativeCommonsPd, faCreativeCommonsPdAlt, faCreativeCommonsRemix, faCreativeCommonsSa, faCreativeCommonsSampling, faCreativeCommonsSamplingPlus, faCreativeCommonsShare, faCreativeCommonsZero, faCriticalRole, faCss3, faCss3Alt, faCuttlefish, faDAndD, faDAndDBeyond, faDailymotion, faDashcube, faDelicious, faDeploydog, faDeskpro, faDev, faDeviantart, faDhl, faDiaspora, faDigg, faDigitalOcean, faDiscord, faDiscourse, faDochub, faDocker, faDraft2digital, faDribbble, faDribbbleSquare, faDropbox, faDrupal, faDyalog, faEarlybirds, faEbay, faEdge, faElementor, faEllo, faEmber, faEmpire, faEnvira, faErlang, faEthereum, faEtsy, faEvernote, faExpeditedssl, faFacebook, faFacebookF, faFacebookMessenger, faFacebookSquare, faFantasyFlightGames, faFedex, faFedora, faFigma, faFirefox, faFirefoxBrowser, faFirstOrder, faFirstOrderAlt, faFirstdraft, faFlickr, faFlipboard, faFly, faFontAwesome, faFontAwesomeAlt, faFontAwesomeFlag, faFontAwesomeLogoFull, faFonticons, faFonticonsFi, faFortAwesome, faFortAwesomeAlt, faForumbee, faFoursquare, faFreeCodeCamp, faFreebsd, faFulcrum, faGalacticRepublic, faGalacticSenate, faGetPocket, faGg, faGgCircle, faGit, faGitAlt, faGitSquare, faGithub, faGithubAlt, faGithubSquare, faGitkraken, faGitlab, faGitter, faGlide, faGlideG, faGofore, faGoodreads, faGoodreadsG, faGoogle, faGoogleDrive, faGooglePlay, faGooglePlus, faGooglePlusG, faGooglePlusSquare, faGoogleWallet, faGratipay, faGrav, faGripfire, faGrunt, faGulp, faHackerNews, faHackerNewsSquare, faHackerrank, faHips, faHireAHelper, faHooli, faHornbill, faHotjar, faHouzz, faHtml5, faHubspot, faIdeal, faImdb, faInstagram, faInstagramSquare, faIntercom, faInternetExplorer, faInvision, faIoxhost, faItchIo, faItunes, faItunesNote, faJava, faJediOrder, faJenkins, faJira, faJoget, faJoomla, faJs, faJsSquare, faJsfiddle, faKaggle, faKeybase, faKeycdn, faKickstarter, faKickstarterK, faKorvue, faLaravel, faLastfm, faLastfmSquare, faLeanpub, faLess, faLine, faLinkedin, faLinkedinIn, faLinode, faLinux, faLyft, faMagento, faMailchimp, faMandalorian, faMarkdown, faMastodon, faMaxcdn, faMdb, faMedapps, faMedium, faMediumM, faMedrt, faMeetup, faMegaport, faMendeley, faMicroblog, faMicrosoft, faMix, faMixcloud, faMixer, faMizuni, faModx, faMonero, faNapster, faNeos, faNimblr, faNode, faNodeJs, faNpm, faNs8, faNutritionix, faOdnoklassniki, faOdnoklassnikiSquare, faOldRepublic, faOpencart, faOpenid, faOpera, faOptinMonster, faOrcid, faOsi, faPage4, faPagelines, faPalfed, faPatreon, faPaypal, faPennyArcade, faPeriscope, faPhabricator, faPhoenixFramework, faPhoenixSquadron, faPhp, faPiedPiper, faPiedPiperAlt, faPiedPiperHat, faPiedPiperPp, faPiedPiperSquare, faPinterest, faPinterestP, faPinterestSquare, faPlaystation, faProductHunt, faPushed, faPython, faQq, faQuinscape, faQuora, faRProject, faRaspberryPi, faRavelry, faReact, faReacteurope, faReadme, faRebel, faRedRiver, faReddit, faRedditAlien, faRedditSquare, faRedhat, faRenren, faReplyd, faResearchgate, faResolving, faRev, faRocketchat, faRockrms, faSafari, faSalesforce, faSass, faSchlix, faScribd, faSearchengin, faSellcast, faSellsy, faServicestack, faShirtsinbulk, faShopify, faShopware, faSimplybuilt, faSistrix, faSith, faSketch, faSkyatlas, faSkype, faSlack, faSlackHash, faSlideshare, faSnapchat, faSnapchatGhost, faSnapchatSquare, faSoundcloud, faSourcetree, faSpeakap, faSpeakerDeck, faSpotify, faSquarespace, faStackExchange, faStackOverflow, faStackpath, faStaylinked, faSteam, faSteamSquare, faSteamSymbol, faStickerMule, faStrava, faStripe, faStripeS, faStudiovinari, faStumbleupon, faStumbleuponCircle, faSuperpowers, faSupple, faSuse, faSwift, faSymfony, faTeamspeak, faTelegram, faTelegramPlane, faTencentWeibo, faTheRedYeti, faThemeco, faThemeisle, faThinkPeaks, faTradeFederation, faTrello, faTripadvisor, faTumblr, faTumblrSquare, faTwitch, faTwitter, faTwitterSquare, faTypo3, faUber, faUbuntu, faUikit, faUmbraco, faUniregistry, faUnity, faUntappd, faUps, faUsb, faUsps, faUssunnah, faVaadin, faViacoin, faViadeo, faViadeoSquare, faViber, faVimeo, faVimeoSquare, faVimeoV, faVine, faVk, faVnv, faVuejs, faWaze, faWeebly, faWeibo, faWeixin, faWhatsapp, faWhatsappSquare, faWhmcs, faWikipediaW, faWindows, faWix, faWizardsOfTheCoast, faWolfPackBattalion, faWordpress, faWordpressSimple, faWpbeginner, faWpexplorer, faWpforms, faWpressr, faXbox, faXing, faXingSquare, faYCombinator, faYahoo, faYammer, faYandex, faYandexInternational, faYarn, faYelp, faYoast, faYoutube, faYoutubeSquare, faZhihu };\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"todo\":\"todo__2IWIS\"};","/**\n * Copyright (c) 2013-present, Facebook, Inc.\n *\n * This source code is licensed under the MIT license found in the\n * LICENSE file in the root directory of this source tree.\n */\n\n'use strict';\n\nvar ReactPropTypesSecret = require('./lib/ReactPropTypesSecret');\n\nfunction emptyFunction() {}\nfunction emptyFunctionWithReset() {}\nemptyFunctionWithReset.resetWarningCache = emptyFunction;\n\nmodule.exports = function() {\n function shim(props, propName, componentName, location, propFullName, secret) {\n if (secret === ReactPropTypesSecret) {\n // It is still safe when called from React.\n return;\n }\n var err = new Error(\n 'Calling PropTypes validators directly is not supported by the `prop-types` package. ' +\n 'Use PropTypes.checkPropTypes() to call them. ' +\n 'Read more at http://fb.me/use-check-prop-types'\n );\n err.name = 'Invariant Violation';\n throw err;\n };\n shim.isRequired = shim;\n function getShim() {\n return shim;\n };\n // Important!\n // Keep this list in sync with production version in `./factoryWithTypeCheckers.js`.\n var ReactPropTypes = {\n array: shim,\n bool: shim,\n func: shim,\n number: shim,\n object: shim,\n string: shim,\n symbol: shim,\n\n any: shim,\n arrayOf: getShim,\n element: shim,\n elementType: shim,\n instanceOf: getShim,\n node: shim,\n objectOf: getShim,\n oneOf: getShim,\n oneOfType: getShim,\n shape: getShim,\n exact: getShim,\n\n checkPropTypes: emptyFunctionWithReset,\n resetWarningCache: emptyFunction\n };\n\n ReactPropTypes.PropTypes = ReactPropTypes;\n\n return ReactPropTypes;\n};\n","import Split from \"../Layout/Split\";\nimport {Fragment} from \"preact\";\n\nexport default function (props) {\n return (\n \n

\n {props.title}\n

\n \n {props.children}\n \n \n );\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"title\":\"title__3ZVpg\",\"contents\":\"contents__20_NI\"};","import {\n\tcreateElement,\n\trender as preactRender,\n\tcloneElement as preactCloneElement,\n\tcreateRef,\n\tComponent,\n\tcreateContext,\n\tFragment\n} from 'preact';\nimport {\n\tuseState,\n\tuseReducer,\n\tuseEffect,\n\tuseLayoutEffect,\n\tuseRef,\n\tuseImperativeHandle,\n\tuseMemo,\n\tuseCallback,\n\tuseContext,\n\tuseDebugValue\n} from 'preact/hooks';\nimport { PureComponent } from './PureComponent';\nimport { memo } from './memo';\nimport { forwardRef } from './forwardRef';\nimport { Children } from './Children';\nimport { Suspense, lazy } from './suspense';\nimport { SuspenseList } from './suspense-list';\nimport { createPortal } from './portals';\nimport { hydrate, render, REACT_ELEMENT_TYPE } from './render';\n\nconst version = '16.8.0'; // trick libraries to think we are react\n\n/**\n * Legacy version of createElement.\n * @param {import('./internal').VNode[\"type\"]} type The node name or Component constructor\n */\nfunction createFactory(type) {\n\treturn createElement.bind(null, type);\n}\n\n/**\n * Check if the passed element is a valid (p)react node.\n * @param {*} element The element to check\n * @returns {boolean}\n */\nfunction isValidElement(element) {\n\treturn !!element && element.$$typeof === REACT_ELEMENT_TYPE;\n}\n\n/**\n * Wrap `cloneElement` to abort if the passed element is not a valid element and apply\n * all vnode normalizations.\n * @param {import('./internal').VNode} element The vnode to clone\n * @param {object} props Props to add when cloning\n * @param {Array} rest Optional component children\n */\nfunction cloneElement(element) {\n\tif (!isValidElement(element)) return element;\n\treturn preactCloneElement.apply(null, arguments);\n}\n\n/**\n * Remove a component tree from the DOM, including state and event handlers.\n * @param {import('./internal').PreactElement} container\n * @returns {boolean}\n */\nfunction unmountComponentAtNode(container) {\n\tif (container._children) {\n\t\tpreactRender(null, container);\n\t\treturn true;\n\t}\n\treturn false;\n}\n\n/**\n * Get the matching DOM node for a component\n * @param {import('./internal').Component} component\n * @returns {import('./internal').PreactElement | null}\n */\nfunction findDOMNode(component) {\n\treturn (\n\t\t(component &&\n\t\t\t(component.base || (component.nodeType === 1 && component))) ||\n\t\tnull\n\t);\n}\n\n/**\n * Deprecated way to control batched rendering inside the reconciler, but we\n * already schedule in batches inside our rendering code\n * @template Arg\n * @param {(arg: Arg) => void} callback function that triggers the updated\n * @param {Arg} [arg] Optional argument that can be passed to the callback\n */\n// eslint-disable-next-line camelcase\nconst unstable_batchedUpdates = (callback, arg) => callback(arg);\n\n/**\n * Strict Mode is not implemented in Preact, so we provide a stand-in for it\n * that just renders its children without imposing any restrictions.\n */\nconst StrictMode = Fragment;\n\nexport * from 'preact/hooks';\nexport {\n\tversion,\n\tChildren,\n\trender,\n\thydrate,\n\tunmountComponentAtNode,\n\tcreatePortal,\n\tcreateElement,\n\tcreateContext,\n\tcreateFactory,\n\tcloneElement,\n\tcreateRef,\n\tFragment,\n\tisValidElement,\n\tfindDOMNode,\n\tComponent,\n\tPureComponent,\n\tmemo,\n\tforwardRef,\n\t// eslint-disable-next-line camelcase\n\tunstable_batchedUpdates,\n\tStrictMode,\n\tSuspense,\n\tSuspenseList,\n\tlazy\n};\n\n// React copies the named exports to the default one.\nexport default {\n\tuseState,\n\tuseReducer,\n\tuseEffect,\n\tuseLayoutEffect,\n\tuseRef,\n\tuseImperativeHandle,\n\tuseMemo,\n\tuseCallback,\n\tuseContext,\n\tuseDebugValue,\n\tversion,\n\tChildren,\n\trender,\n\thydrate,\n\tunmountComponentAtNode,\n\tcreatePortal,\n\tcreateElement,\n\tcreateContext,\n\tcreateFactory,\n\tcloneElement,\n\tcreateRef,\n\tFragment,\n\tisValidElement,\n\tfindDOMNode,\n\tComponent,\n\tPureComponent,\n\tmemo,\n\tforwardRef,\n\tunstable_batchedUpdates,\n\tStrictMode,\n\tSuspense,\n\tSuspenseList,\n\tlazy\n};\n","import style from \"./Todo.less\";\n\nexport default function (props) {\n\tif(process.env.NODE_ENV === \"development\") {\n\t\treturn {props.children};\n\t}\n\telse {\n\t\treturn null;\n\t}\n}\n","import style from \"./Split.less\";\n\nexport default function (props) {\n let children;\n\n if(Array.isArray(props.children)) {\n children = props.children.map(element => {\n return (\n
\n {element}\n
\n );\n });\n }\n\n else {\n children = (\n
\n {props.children}\n
\n );\n }\n return (\n
\n
{children}
\n
\n );\n}\n","/**\n * Copyright (c) 2013-present, Facebook, Inc.\n *\n * This source code is licensed under the MIT license found in the\n * LICENSE file in the root directory of this source tree.\n */\n\nif (process.env.NODE_ENV !== 'production') {\n var ReactIs = require('react-is');\n\n // By explicitly using `prop-types` you are opting into new development behavior.\n // http://fb.me/prop-types-in-prod\n var throwOnDirectAccess = true;\n module.exports = require('./factoryWithTypeCheckers')(ReactIs.isElement, throwOnDirectAccess);\n} else {\n // By explicitly using `prop-types` you are opting into new production behavior.\n // http://fb.me/prop-types-in-prod\n module.exports = require('./factoryWithThrowingShims')();\n}\n","var prefix = \"fas\";\nvar faAd = {\n prefix: 'fas',\n iconName: 'ad',\n icon: [512, 512, [], \"f641\", \"M157.52 272h36.96L176 218.78 157.52 272zM352 256c-13.23 0-24 10.77-24 24s10.77 24 24 24 24-10.77 24-24-10.77-24-24-24zM464 64H48C21.5 64 0 85.5 0 112v288c0 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faBorderAll = {\n prefix: 'fas',\n iconName: 'border-all',\n icon: [448, 512, [], \"f84c\", \"M416 32H32A32 32 0 0 0 0 64v384a32 32 0 0 0 32 32h384a32 32 0 0 0 32-32V64a32 32 0 0 0-32-32zm-32 64v128H256V96zm-192 0v128H64V96zM64 416V288h128v128zm192 0V288h128v128z\"]\n};\nvar faBorderNone = {\n prefix: 'fas',\n iconName: 'border-none',\n icon: [448, 512, [], \"f850\", \"M240 224h-32a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h32a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm96 0h-32a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h32a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm96 0h-32a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h32a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm-288 0h-32a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h32a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm96 192h-32a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h32a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm96 0h-32a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h32a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm96 0h-32a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h32a16 16 0 0 0 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7.2-16 16-16h96c8.8 0 16 7.2 16 16v96c0 8.8-7.2 16-16 16H80c-8.8 0-16-7.2-16-16v-96zM400 64h-48V16c0-8.8-7.2-16-16-16h-32c-8.8 0-16 7.2-16 16v48H160V16c0-8.8-7.2-16-16-16h-32c-8.8 0-16 7.2-16 16v48H48C21.5 64 0 85.5 0 112v48h448v-48c0-26.5-21.5-48-48-48z\"]\n};\nvar faCalendarMinus = {\n prefix: 'fas',\n iconName: 'calendar-minus',\n icon: [448, 512, [], \"f272\", \"M436 160H12c-6.6 0-12-5.4-12-12v-36c0-26.5 21.5-48 48-48h48V12c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 12v52h128V12c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 12v52h48c26.5 0 48 21.5 48 48v36c0 6.6-5.4 12-12 12zM12 192h424c6.6 0 12 5.4 12 12v260c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V204c0-6.6 5.4-12 12-12zm304 192c6.6 0 12-5.4 12-12v-40c0-6.6-5.4-12-12-12H132c-6.6 0-12 5.4-12 12v40c0 6.6 5.4 12 12 12h184z\"]\n};\nvar faCalendarPlus = {\n prefix: 'fas',\n iconName: 'calendar-plus',\n icon: [448, 512, [], \"f271\", \"M436 160H12c-6.6 0-12-5.4-12-12v-36c0-26.5 21.5-48 48-48h48V12c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 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4.96-18.49-15.43-53.67-33.97-58.64zm290.61 28.17l-6.36-53.29c-.58-4.87-1.89-9.53-3.82-13.86-5.8-12.99-17.2-23.01-31.42-26.82l-122.68-32.87a48.008 48.008 0 0 0-50.86 17.61l-32.15 42.97 172 46.08 75.29 20.18zm18.49 54.65c-18.55-4.97-53.8 15.31-58.75 33.79-4.95 18.49 23.69 22.86 42.24 27.83 18.55 4.97 34.21-4.04 39.17-22.53 4.95-18.48-4.11-34.12-22.66-39.09z\"]\n};\nvar faCarSide = {\n prefix: 'fas',\n iconName: 'car-side',\n icon: [640, 512, [], \"f5e4\", \"M544 192h-16L419.22 56.02A64.025 64.025 0 0 0 369.24 32H155.33c-26.17 0-49.7 15.93-59.42 40.23L48 194.26C20.44 201.4 0 226.21 0 256v112c0 8.84 7.16 16 16 16h48c0 53.02 42.98 96 96 96s96-42.98 96-96h128c0 53.02 42.98 96 96 96s96-42.98 96-96h48c8.84 0 16-7.16 16-16v-80c0-53.02-42.98-96-96-96zM160 432c-26.47 0-48-21.53-48-48s21.53-48 48-48 48 21.53 48 48-21.53 48-48 48zm72-240H116.93l38.4-96H232v96zm48 0V96h89.24l76.8 96H280zm200 240c-26.47 0-48-21.53-48-48s21.53-48 48-48 48 21.53 48 48-21.53 48-48 48z\"]\n};\nvar faCaravan = {\n prefix: 'fas',\n iconName: 'caravan',\n icon: [640, 512, [], \"f8ff\", \"M416,208a16,16,0,1,0,16,16A16,16,0,0,0,416,208ZM624,320H576V160A160,160,0,0,0,416,0H64A64,64,0,0,0,0,64V320a64,64,0,0,0,64,64H96a96,96,0,0,0,192,0H624a16,16,0,0,0,16-16V336A16,16,0,0,0,624,320ZM192,432a48,48,0,1,1,48-48A48.05,48.05,0,0,1,192,432Zm64-240a32,32,0,0,1-32,32H96a32,32,0,0,1-32-32V128A32,32,0,0,1,96,96H224a32,32,0,0,1,32,32ZM448,320H320V128a32,32,0,0,1,32-32h64a32,32,0,0,1,32,32Z\"]\n};\nvar faCaretDown = {\n prefix: 'fas',\n iconName: 'caret-down',\n icon: [320, 512, [], \"f0d7\", \"M31.3 192h257.3c17.8 0 26.7 21.5 14.1 34.1L174.1 354.8c-7.8 7.8-20.5 7.8-28.3 0L17.2 226.1C4.6 213.5 13.5 192 31.3 192z\"]\n};\nvar faCaretLeft = {\n prefix: 'fas',\n iconName: 'caret-left',\n icon: [192, 512, [], \"f0d9\", \"M192 127.338v257.324c0 17.818-21.543 26.741-34.142 14.142L29.196 270.142c-7.81-7.81-7.81-20.474 0-28.284l128.662-128.662c12.599-12.6 34.142-3.676 34.142 14.142z\"]\n};\nvar faCaretRight = {\n prefix: 'fas',\n iconName: 'caret-right',\n icon: [192, 512, [], \"f0da\", \"M0 384.662V127.338c0-17.818 21.543-26.741 34.142-14.142l128.662 128.662c7.81 7.81 7.81 20.474 0 28.284L34.142 398.804C21.543 411.404 0 402.48 0 384.662z\"]\n};\nvar faCaretSquareDown = {\n prefix: 'fas',\n iconName: 'caret-square-down',\n icon: [448, 512, [], \"f150\", \"M448 80v352c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V80c0-26.5 21.5-48 48-48h352c26.5 0 48 21.5 48 48zM92.5 220.5l123 123c4.7 4.7 12.3 4.7 17 0l123-123c7.6-7.6 2.2-20.5-8.5-20.5H101c-10.7 0-16.1 12.9-8.5 20.5z\"]\n};\nvar faCaretSquareLeft = {\n prefix: 'fas',\n iconName: 'caret-square-left',\n icon: [448, 512, [], \"f191\", \"M400 480H48c-26.51 0-48-21.49-48-48V80c0-26.51 21.49-48 48-48h352c26.51 0 48 21.49 48 48v352c0 26.51-21.49 48-48 48zM259.515 124.485l-123.03 123.03c-4.686 4.686-4.686 12.284 0 16.971l123.029 123.029c7.56 7.56 20.485 2.206 20.485-8.485V132.971c.001-10.691-12.925-16.045-20.484-8.486z\"]\n};\nvar faCaretSquareRight = {\n prefix: 'fas',\n iconName: 'caret-square-right',\n icon: [448, 512, [], \"f152\", \"M48 32h352c26.51 0 48 21.49 48 48v352c0 26.51-21.49 48-48 48H48c-26.51 0-48-21.49-48-48V80c0-26.51 21.49-48 48-48zm140.485 355.515l123.029-123.029c4.686-4.686 4.686-12.284 0-16.971l-123.029-123.03c-7.56-7.56-20.485-2.206-20.485 8.485v246.059c0 10.691 12.926 16.045 20.485 8.486z\"]\n};\nvar faCaretSquareUp = {\n prefix: 'fas',\n iconName: 'caret-square-up',\n icon: [448, 512, [], \"f151\", \"M0 432V80c0-26.51 21.49-48 48-48h352c26.51 0 48 21.49 48 48v352c0 26.51-21.49 48-48 48H48c-26.51 0-48-21.49-48-48zm355.515-140.485l-123.03-123.03c-4.686-4.686-12.284-4.686-16.971 0L92.485 291.515c-7.56 7.56-2.206 20.485 8.485 20.485h246.059c10.691 0 16.045-12.926 8.486-20.485z\"]\n};\nvar faCaretUp = {\n prefix: 'fas',\n iconName: 'caret-up',\n icon: [320, 512, [], \"f0d8\", \"M288.662 352H31.338c-17.818 0-26.741-21.543-14.142-34.142l128.662-128.662c7.81-7.81 20.474-7.81 28.284 0l128.662 128.662c12.6 12.599 3.676 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64h176c8.84 0 16-7.16 16-16v-16c0-17.67-14.33-32-32-32h-32l128-96v144c0 8.84 7.16 16 16 16h32c8.84 0 16-7.16 16-16V289.86c-10.29 2.67-20.89 4.54-32 4.54-61.81 0-113.52-44.05-125.41-102.4zM448 96h-64l-64-64v134.4c0 53.02 42.98 96 96 96s96-42.98 96-96V32l-64 64zm-72 80c-8.84 0-16-7.16-16-16s7.16-16 16-16 16 7.16 16 16-7.16 16-16 16zm80 0c-8.84 0-16-7.16-16-16s7.16-16 16-16 16 7.16 16 16-7.16 16-16 16z\"]\n};\nvar faCertificate = {\n prefix: 'fas',\n iconName: 'certificate',\n icon: [512, 512, [], \"f0a3\", \"M458.622 255.92l45.985-45.005c13.708-12.977 7.316-36.039-10.664-40.339l-62.65-15.99 17.661-62.015c4.991-17.838-11.829-34.663-29.661-29.671l-61.994 17.667-15.984-62.671C337.085.197 313.765-6.276 300.99 7.228L256 53.57 211.011 7.229c-12.63-13.351-36.047-7.234-40.325 10.668l-15.984 62.671-61.995-17.667C74.87 57.907 58.056 74.738 63.046 92.572l17.661 62.015-62.65 15.99C.069 174.878-6.31 197.944 7.392 210.915l45.985 45.005-45.985 45.004c-13.708 12.977-7.316 36.039 10.664 40.339l62.65 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'glass-martini-alt',\n icon: [512, 512, [], \"f57b\", \"M502.05 57.6C523.3 36.34 508.25 0 478.2 0H33.8C3.75 0-11.3 36.34 9.95 57.6L224 271.64V464h-56c-22.09 0-40 17.91-40 40 0 4.42 3.58 8 8 8h240c4.42 0 8-3.58 8-8 0-22.09-17.91-40-40-40h-56V271.64L502.05 57.6zM443.77 48l-48 48H116.24l-48-48h375.53z\"]\n};\nvar faGlassWhiskey = {\n prefix: 'fas',\n iconName: 'glass-whiskey',\n icon: [512, 512, [], \"f7a0\", \"M480 32H32C12.5 32-2.4 49.2.3 68.5l56 356.5c4.5 31.5 31.5 54.9 63.4 54.9h273c31.8 0 58.9-23.4 63.4-54.9l55.6-356.5C514.4 49.2 499.5 32 480 32zm-37.4 64l-30 192h-313L69.4 96h373.2z\"]\n};\nvar faGlasses = {\n prefix: 'fas',\n iconName: 'glasses',\n icon: [576, 512, [], \"f530\", \"M574.1 280.37L528.75 98.66c-5.91-23.7-21.59-44.05-43-55.81-21.44-11.73-46.97-14.11-70.19-6.33l-15.25 5.08c-8.39 2.79-12.92 11.86-10.12 20.24l5.06 15.18c2.79 8.38 11.85 12.91 20.23 10.12l13.18-4.39c10.87-3.62 23-3.57 33.16 1.73 10.29 5.37 17.57 14.56 20.37 25.82l38.46 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faGlobe = {\n prefix: 'fas',\n iconName: 'globe',\n icon: [496, 512, [], \"f0ac\", \"M336.5 160C322 70.7 287.8 8 248 8s-74 62.7-88.5 152h177zM152 256c0 22.2 1.2 43.5 3.3 64h185.3c2.1-20.5 3.3-41.8 3.3-64s-1.2-43.5-3.3-64H155.3c-2.1 20.5-3.3 41.8-3.3 64zm324.7-96c-28.6-67.9-86.5-120.4-158-141.6 24.4 33.8 41.2 84.7 50 141.6h108zM177.2 18.4C105.8 39.6 47.8 92.1 19.3 160h108c8.7-56.9 25.5-107.8 49.9-141.6zM487.4 192H372.7c2.1 21 3.3 42.5 3.3 64s-1.2 43-3.3 64h114.6c5.5-20.5 8.6-41.8 8.6-64s-3.1-43.5-8.5-64zM120 256c0-21.5 1.2-43 3.3-64H8.6C3.2 212.5 0 233.8 0 256s3.2 43.5 8.6 64h114.6c-2-21-3.2-42.5-3.2-64zm39.5 96c14.5 89.3 48.7 152 88.5 152s74-62.7 88.5-152h-177zm159.3 141.6c71.4-21.2 129.4-73.7 158-141.6h-108c-8.8 56.9-25.6 107.8-50 141.6zM19.3 352c28.6 67.9 86.5 120.4 158 141.6-24.4-33.8-41.2-84.7-50-141.6h-108z\"]\n};\nvar faGlobeAfrica = {\n prefix: 'fas',\n iconName: 'globe-africa',\n icon: [496, 512, [], \"f57c\", \"M248 8C111.03 8 0 119.03 0 256s111.03 248 248 248 248-111.03 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icon: [256, 512, [], \"f7a5\", \"M96 496V16c0-8.8-7.2-16-16-16H48c-8.8 0-16 7.2-16 16v480c0 8.8 7.2 16 16 16h32c8.8 0 16-7.2 16-16zm128 0V16c0-8.8-7.2-16-16-16h-32c-8.8 0-16 7.2-16 16v480c0 8.8 7.2 16 16 16h32c8.8 0 16-7.2 16-16z\"]\n};\nvar faGripVertical = {\n prefix: 'fas',\n iconName: 'grip-vertical',\n icon: [320, 512, [], \"f58e\", \"M96 32H32C14.33 32 0 46.33 0 64v64c0 17.67 14.33 32 32 32h64c17.67 0 32-14.33 32-32V64c0-17.67-14.33-32-32-32zm0 160H32c-17.67 0-32 14.33-32 32v64c0 17.67 14.33 32 32 32h64c17.67 0 32-14.33 32-32v-64c0-17.67-14.33-32-32-32zm0 160H32c-17.67 0-32 14.33-32 32v64c0 17.67 14.33 32 32 32h64c17.67 0 32-14.33 32-32v-64c0-17.67-14.33-32-32-32zM288 32h-64c-17.67 0-32 14.33-32 32v64c0 17.67 14.33 32 32 32h64c17.67 0 32-14.33 32-32V64c0-17.67-14.33-32-32-32zm0 160h-64c-17.67 0-32 14.33-32 32v64c0 17.67 14.33 32 32 32h64c17.67 0 32-14.33 32-32v-64c0-17.67-14.33-32-32-32zm0 160h-64c-17.67 0-32 14.33-32 32v64c0 17.67 14.33 32 32 32h64c17.67 0 32-14.33 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faHandHoldingWater = {\n prefix: 'fas',\n iconName: 'hand-holding-water',\n icon: [576, 512, [], \"f4c1\", \"M288 256c53 0 96-42.1 96-94 0-40-57.1-120.7-83.2-155.6-6.4-8.5-19.2-8.5-25.6 0C249.1 41.3 192 122 192 162c0 51.9 43 94 96 94zm277.3 72.1c-11.8-10.7-30.2-10-42.6 0L430.3 402c-11.3 9.1-25.4 14-40 14H272c-8.8 0-16-7.2-16-16s7.2-16 16-16h78.3c15.9 0 30.7-10.9 33.3-26.6 3.3-20-12.1-37.4-31.6-37.4H192c-27 0-53.1 9.3-74.1 26.3L71.4 384H16c-8.8 0-16 7.2-16 16v96c0 8.8 7.2 16 16 16h356.8c14.5 0 28.6-4.9 40-14L564 377c15.2-12.1 16.4-35.3 1.3-48.9z\"]\n};\nvar faHandLizard = {\n prefix: 'fas',\n iconName: 'hand-lizard',\n icon: [576, 512, [], \"f258\", \"M384 480h192V363.778a95.998 95.998 0 0 0-14.833-51.263L398.127 54.368A48 48 0 0 0 357.544 32H24C10.745 32 0 42.745 0 56v16c0 30.928 25.072 56 56 56h229.981c12.844 0 21.556 13.067 16.615 24.923l-21.41 51.385A32 32 0 0 1 251.648 224H128c-35.346 0-64 28.654-64 64v8c0 13.255 10.745 24 24 24h147.406a47.995 47.995 0 0 1 25.692 7.455l111.748 70.811A24.001 24.001 0 0 1 384 418.539V480z\"]\n};\nvar faHandMiddleFinger = {\n prefix: 'fas',\n iconName: 'hand-middle-finger',\n icon: [512, 512, [], \"f806\", \"M479.93 317.12a37.33 37.33 0 0 0-28.28-36.19L416 272v-49.59c0-11.44-9.69-21.29-23.15-23.54l-38.4-6.4C336.63 189.5 320 200.86 320 216v32a8 8 0 0 1-16 0V50c0-26.28-20.25-49.2-46.52-50A48 48 0 0 0 208 48v200a8 8 0 0 1-16 0v-32c0-15.15-16.63-26.51-34.45-23.54l-30.68 5.12c-18 3-30.87 16.12-30.87 31.38V376a8 8 0 0 1-16 0v-76l-27.36 15A37.34 37.34 0 0 0 32 348.4v73.47a37.31 37.31 0 0 0 10.93 26.39l30.93 30.93A112 112 0 0 0 153.05 512h215A112 112 0 0 0 480 400z\"]\n};\nvar faHandPaper = {\n prefix: 'fas',\n iconName: 'hand-paper',\n icon: [448, 512, [], \"f256\", \"M408.781 128.007C386.356 127.578 368 146.36 368 168.79V256h-8V79.79c0-22.43-18.356-41.212-40.781-40.783C297.488 39.423 280 57.169 280 79v177h-8V40.79C272 18.36 253.644-.422 231.219.007 209.488.423 192 18.169 192 40v216h-8V80.79c0-22.43-18.356-41.212-40.781-40.783C121.488 40.423 104 58.169 104 80v235.992l-31.648-43.519c-12.993-17.866-38.009-21.817-55.877-8.823-17.865 12.994-21.815 38.01-8.822 55.877l125.601 172.705A48 48 0 0 0 172.073 512h197.59c22.274 0 41.622-15.324 46.724-37.006l26.508-112.66a192.011 192.011 0 0 0 5.104-43.975V168c.001-21.831-17.487-39.577-39.218-39.993z\"]\n};\nvar faHandPeace = {\n prefix: 'fas',\n iconName: 'hand-peace',\n icon: [448, 512, [], \"f25b\", \"M408 216c-22.092 0-40 17.909-40 40h-8v-32c0-22.091-17.908-40-40-40s-40 17.909-40 40v32h-8V48c0-26.51-21.49-48-48-48s-48 21.49-48 48v208h-13.572L92.688 78.449C82.994 53.774 55.134 41.63 30.461 51.324 5.787 61.017-6.356 88.877 3.337 113.551l74.765 190.342-31.09 24.872c-15.381 12.306-19.515 33.978-9.741 51.081l64 112A39.998 39.998 0 0 0 136 512h240c18.562 0 34.686-12.77 38.937-30.838l32-136A39.97 39.97 0 0 0 448 336v-80c0-22.091-17.908-40-40-40z\"]\n};\nvar faHandPointDown = {\n prefix: 'fas',\n iconName: 'hand-point-down',\n icon: [384, 512, [], \"f0a7\", \"M91.826 467.2V317.966c-8.248 5.841-16.558 10.57-24.918 14.153C35.098 345.752-.014 322.222 0 288c.008-18.616 10.897-32.203 29.092-40 28.286-12.122 64.329-78.648 77.323-107.534 7.956-17.857 25.479-28.453 43.845-28.464l.001-.002h171.526c11.812 0 21.897 8.596 23.703 20.269 7.25 46.837 38.483 61.76 38.315 123.731-.007 2.724.195 13.254.195 16 0 50.654-22.122 81.574-71.263 72.6-9.297 18.597-39.486 30.738-62.315 16.45-21.177 24.645-53.896 22.639-70.944 6.299V467.2c0 24.15-20.201 44.8-43.826 44.8-23.283 0-43.826-21.35-43.826-44.8zM112 72V24c0-13.255 10.745-24 24-24h192c13.255 0 24 10.745 24 24v48c0 13.255-10.745 24-24 24H136c-13.255 0-24-10.745-24-24zm212-24c0-11.046-8.954-20-20-20s-20 8.954-20 20 8.954 20 20 20 20-8.954 20-20z\"]\n};\nvar faHandPointLeft = {\n prefix: 'fas',\n iconName: 'hand-point-left',\n icon: [512, 512, [], \"f0a5\", \"M44.8 155.826h149.234c-5.841-8.248-10.57-16.558-14.153-24.918C166.248 99.098 189.778 63.986 224 64c18.616.008 32.203 10.897 40 29.092 12.122 28.286 78.648 64.329 107.534 77.323 17.857 7.956 28.453 25.479 28.464 43.845l.002.001v171.526c0 11.812-8.596 21.897-20.269 23.703-46.837 7.25-61.76 38.483-123.731 38.315-2.724-.007-13.254.195-16 .195-50.654 0-81.574-22.122-72.6-71.263-18.597-9.297-30.738-39.486-16.45-62.315-24.645-21.177-22.639-53.896-6.299-70.944H44.8c-24.15 0-44.8-20.201-44.8-43.826 0-23.283 21.35-43.826 44.8-43.826zM440 176h48c13.255 0 24 10.745 24 24v192c0 13.255-10.745 24-24 24h-48c-13.255 0-24-10.745-24-24V200c0-13.255 10.745-24 24-24zm24 212c11.046 0 20-8.954 20-20s-8.954-20-20-20-20 8.954-20 20 8.954 20 20 20z\"]\n};\nvar faHandPointRight = {\n prefix: 'fas',\n iconName: 'hand-point-right',\n icon: [512, 512, [], \"f0a4\", \"M512 199.652c0 23.625-20.65 43.826-44.8 43.826h-99.851c16.34 17.048 18.346 49.766-6.299 70.944 14.288 22.829 2.147 53.017-16.45 62.315C353.574 425.878 322.654 448 272 448c-2.746 0-13.276-.203-16-.195-61.971.168-76.894-31.065-123.731-38.315C120.596 407.683 112 397.599 112 385.786V214.261l.002-.001c.011-18.366 10.607-35.889 28.464-43.845 28.886-12.994 95.413-49.038 107.534-77.323 7.797-18.194 21.384-29.084 40-29.092 34.222-.014 57.752 35.098 44.119 66.908-3.583 8.359-8.312 16.67-14.153 24.918H467.2c23.45 0 44.8 20.543 44.8 43.826zM96 200v192c0 13.255-10.745 24-24 24H24c-13.255 0-24-10.745-24-24V200c0-13.255 10.745-24 24-24h48c13.255 0 24 10.745 24 24zM68 368c0-11.046-8.954-20-20-20s-20 8.954-20 20 8.954 20 20 20 20-8.954 20-20z\"]\n};\nvar faHandPointUp = {\n prefix: 'fas',\n iconName: 'hand-point-up',\n icon: [384, 512, [], \"f0a6\", \"M135.652 0c23.625 0 43.826 20.65 43.826 44.8v99.851c17.048-16.34 49.766-18.346 70.944 6.299 22.829-14.288 53.017-2.147 62.315 16.45C361.878 158.426 384 189.346 384 240c0 2.746-.203 13.276-.195 16 .168 61.971-31.065 76.894-38.315 123.731C343.683 391.404 333.599 400 321.786 400H150.261l-.001-.002c-18.366-.011-35.889-10.607-43.845-28.464C93.421 342.648 57.377 276.122 29.092 264 10.897 256.203.008 242.616 0 224c-.014-34.222 35.098-57.752 66.908-44.119 8.359 3.583 16.67 8.312 24.918 14.153V44.8c0-23.45 20.543-44.8 43.826-44.8zM136 416h192c13.255 0 24 10.745 24 24v48c0 13.255-10.745 24-24 24H136c-13.255 0-24-10.745-24-24v-48c0-13.255 10.745-24 24-24zm168 28c-11.046 0-20 8.954-20 20s8.954 20 20 20 20-8.954 20-20-8.954-20-20-20z\"]\n};\nvar faHandPointer = {\n prefix: 'fas',\n iconName: 'hand-pointer',\n icon: [448, 512, [], \"f25a\", \"M448 240v96c0 3.084-.356 6.159-1.063 9.162l-32 136C410.686 499.23 394.562 512 376 512H168a40.004 40.004 0 0 1-32.35-16.473l-127.997-176c-12.993-17.866-9.043-42.883 8.822-55.876 17.867-12.994 42.884-9.043 55.877 8.823L104 315.992V40c0-22.091 17.908-40 40-40s40 17.909 40 40v200h8v-40c0-22.091 17.908-40 40-40s40 17.909 40 40v40h8v-24c0-22.091 17.908-40 40-40s40 17.909 40 40v24h8c0-22.091 17.908-40 40-40s40 17.909 40 40zm-256 80h-8v96h8v-96zm88 0h-8v96h8v-96zm88 0h-8v96h8v-96z\"]\n};\nvar faHandRock = {\n prefix: 'fas',\n iconName: 'hand-rock',\n icon: [512, 512, [], \"f255\", \"M464.8 80c-26.9-.4-48.8 21.2-48.8 48h-8V96.8c0-26.3-20.9-48.3-47.2-48.8-26.9-.4-48.8 21.2-48.8 48v32h-8V80.8c0-26.3-20.9-48.3-47.2-48.8-26.9-.4-48.8 21.2-48.8 48v48h-8V96.8c0-26.3-20.9-48.3-47.2-48.8-26.9-.4-48.8 21.2-48.8 48v136l-8-7.1v-48.1c0-26.3-20.9-48.3-47.2-48.8C21.9 127.6 0 149.2 0 176v66.4c0 27.4 11.7 53.5 32.2 71.8l111.7 99.3c10.2 9.1 16.1 22.2 16.1 35.9v6.7c0 13.3 10.7 24 24 24h240c13.3 0 24-10.7 24-24v-2.9c0-12.8 2.6-25.5 7.5-37.3l49-116.3c5-11.8 7.5-24.5 7.5-37.3V128.8c0-26.3-20.9-48.4-47.2-48.8z\"]\n};\nvar faHandScissors = {\n prefix: 'fas',\n iconName: 'hand-scissors',\n icon: [512, 512, [], \"f257\", \"M216 440c0-22.092 17.909-40 40-40v-8h-32c-22.091 0-40-17.908-40-40s17.909-40 40-40h32v-8H48c-26.51 0-48-21.49-48-48s21.49-48 48-48h208v-13.572l-177.551-69.74c-24.674-9.694-36.818-37.555-27.125-62.228 9.693-24.674 37.554-36.817 62.228-27.124l190.342 74.765 24.872-31.09c12.306-15.381 33.978-19.515 51.081-9.741l112 64A40.002 40.002 0 0 1 512 168v240c0 18.562-12.77 34.686-30.838 38.937l-136 32A39.982 39.982 0 0 1 336 480h-80c-22.091 0-40-17.908-40-40z\"]\n};\nvar faHandSparkles = {\n prefix: 'fas',\n iconName: 'hand-sparkles',\n icon: [640, 512, [], \"f95d\", \"M106.66,170.64l.09,0,49.55-20.65a7.32,7.32,0,0,0,3.68-6h0a7.29,7.29,0,0,0-3.68-6l-49.57-20.67-.07,0L86,67.68a6.66,6.66,0,0,0-11.92,0l-20.7,49.63-.05,0L3.7,138A7.29,7.29,0,0,0,0,144H0a7.32,7.32,0,0,0,3.68,6L53.27,170.6l.07,0L74,220.26a6.65,6.65,0,0,0,11.92,0l20.69-49.62ZM471.38,467.41l-1-.42-1-.5a38.67,38.67,0,0,1,0-69.14l1-.49,1-.43,37.49-15.63,15.63-37.48.41-1,.47-.95c3.85-7.74,10.58-13.63,18.35-17.34,0-1.33.25-2.69.27-4V144a32,32,0,0,0-64,0v72a8,8,0,0,1-8,8H456a8,8,0,0,1-8-8V64a32,32,0,0,0-64,0V216a8,8,0,0,1-8,8H360a8,8,0,0,1-8-8V32a32,32,0,0,0-64,0V216a8,8,0,0,1-8,8H264a8,8,0,0,1-8-8V64a32,32,0,0,0-64,0v241l-23.59-32.49a40,40,0,0,0-64.71,47.09L229.3,492.21A48.07,48.07,0,0,0,268.09,512H465.7c19.24,0,35.65-11.73,43.24-28.79l-.07-.17ZM349.79,339.52,320,351.93l-12.42,29.78a4,4,0,0,1-7.15,0L288,351.93l-29.79-12.41a4,4,0,0,1,0-7.16L288,319.94l12.42-29.78a4,4,0,0,1,7.15,0L320,319.94l29.79,12.42a4,4,0,0,1,0,7.16ZM640,431.91a7.28,7.28,0,0,0-3.68-6l-49.57-20.67-.07,0L566,355.63a6.66,6.66,0,0,0-11.92,0l-20.7,49.63-.05,0L483.7,426a7.28,7.28,0,0,0-3.68,6h0a7.29,7.29,0,0,0,3.68,5.95l49.57,20.67.07,0L554,508.21a6.65,6.65,0,0,0,11.92,0l20.69-49.62h0l.09,0,49.55-20.66a7.29,7.29,0,0,0,3.68-5.95h0Z\"]\n};\nvar faHandSpock = {\n prefix: 'fas',\n iconName: 'hand-spock',\n icon: [512, 512, [], \"f259\", \"M510.9005,145.27027,442.604,432.09391A103.99507,103.99507,0,0,1,341.43745,512H214.074a135.96968,135.96968,0,0,1-93.18489-36.95291L12.59072,373.12723a39.992,39.992,0,0,1,54.8122-58.24988l60.59342,57.02528v0a283.24849,283.24849,0,0,0-11.6703-80.46734L73.63726,147.36011a40.00575,40.00575,0,1,1,76.71833-22.7187l37.15458,125.39477a8.33113,8.33113,0,0,0,16.05656-4.4414L153.26183,49.95406A39.99638,39.99638,0,1,1,230.73015,30.0166l56.09491,218.15825a10.42047,10.42047,0,0,0,20.30018-.501L344.80766,63.96966a40.052,40.052,0,0,1,51.30245-30.0893c19.86073,6.2998,30.86262,27.67378,26.67564,48.08487l-33.83869,164.966a7.55172,7.55172,0,0,0,14.74406,3.2666l29.3973-123.45874a39.99414,39.99414,0,1,1,77.81208,18.53121Z\"]\n};\nvar faHands = {\n prefix: 'fas',\n iconName: 'hands',\n icon: [640, 512, [], \"f4c2\", \"M204.8 230.4c-10.6-14.1-30.7-17-44.8-6.4-14.1 10.6-17 30.7-6.4 44.8l38.1 50.8c4.8 6.4 4.1 15.3-1.5 20.9l-12.8 12.8c-6.7 6.7-17.6 6.2-23.6-1.1L64 244.4V96c0-17.7-14.3-32-32-32S0 78.3 0 96v218.4c0 10.9 3.7 21.5 10.5 30l104.1 134.3c5 6.5 8.4 13.9 10.4 21.7 1.8 6.9 8.1 11.6 15.3 11.6H272c8.8 0 16-7.2 16-16V384c0-27.7-9-54.6-25.6-76.8l-57.6-76.8zM608 64c-17.7 0-32 14.3-32 32v148.4l-89.8 107.8c-6 7.2-17 7.7-23.6 1.1l-12.8-12.8c-5.6-5.6-6.3-14.5-1.5-20.9l38.1-50.8c10.6-14.1 7.7-34.2-6.4-44.8-14.1-10.6-34.2-7.7-44.8 6.4l-57.6 76.8C361 329.4 352 356.3 352 384v112c0 8.8 7.2 16 16 16h131.7c7.1 0 13.5-4.7 15.3-11.6 2-7.8 5.4-15.2 10.4-21.7l104.1-134.3c6.8-8.5 10.5-19.1 10.5-30V96c0-17.7-14.3-32-32-32z\"]\n};\nvar faHandsHelping = {\n prefix: 'fas',\n iconName: 'hands-helping',\n icon: [640, 512, [], \"f4c4\", \"M488 192H336v56c0 39.7-32.3 72-72 72s-72-32.3-72-72V126.4l-64.9 39C107.8 176.9 96 197.8 96 220.2v47.3l-80 46.2C.7 322.5-4.6 342.1 4.3 357.4l80 138.6c8.8 15.3 28.4 20.5 43.7 11.7L231.4 448H368c35.3 0 64-28.7 64-64h16c17.7 0 32-14.3 32-32v-64h8c13.3 0 24-10.7 24-24v-48c0-13.3-10.7-24-24-24zm147.7-37.4L555.7 16C546.9.7 527.3-4.5 512 4.3L408.6 64H306.4c-12 0-23.7 3.4-33.9 9.7L239 94.6c-9.4 5.8-15 16.1-15 27.1V248c0 22.1 17.9 40 40 40s40-17.9 40-40v-88h184c30.9 0 56 25.1 56 56v28.5l80-46.2c15.3-8.9 20.5-28.4 11.7-43.7z\"]\n};\nvar faHandsWash = {\n prefix: 'fas',\n iconName: 'hands-wash',\n icon: [576, 512, [], \"f95e\", \"M496,224a48,48,0,1,0-48-48A48,48,0,0,0,496,224ZM311.47,178.45A56.77,56.77,0,0,1,328,176a56,56,0,0,1,19,3.49l15.35-48.61A24,24,0,0,0,342,99.74c-11.53-1.35-22.21,6.44-25.71,17.51l-20.9,66.17ZM93.65,386.33c.8-.19,1.54-.54,2.35-.71V359.93a156,156,0,0,1,107.06-148l73.7-22.76L310.92,81.05a24,24,0,0,0-20.33-31.11c-11.53-1.34-22.22,6.45-25.72,17.52L231.42,173.88a8,8,0,0,1-15.26-4.83L259.53,31.26A24,24,0,0,0,239.2.15C227.67-1.19,217,6.6,213.49,17.66L165.56,169.37a8,8,0,1,1-15.26-4.82l38.56-122a24,24,0,0,0-20.33-31.11C157,10,146.32,17.83,142.82,28.9l-60,189.85L80.76,168.7A24,24,0,0,0,56.9,144.55c-13.23-.05-24.72,10.54-24.9,23.86V281.14A123.69,123.69,0,0,0,93.65,386.33ZM519.1,336H360a8,8,0,0,1,0-16H488a24,24,0,0,0,23.54-28.76C509.35,279.84,498.71,272,487.1,272H288l47.09-17.06a24,24,0,0,0-14.18-45.88L213.19,242.31A123.88,123.88,0,0,0,128,360v25.65a79.78,79.78,0,0,1,58,108.63A118.9,118.9,0,0,0,248,512H456a24,24,0,0,0,23.54-28.76C477.35,471.84,466.71,464,455.1,464H360a8,8,0,0,1,0-16H488a24,24,0,0,0,23.54-28.76C509.35,407.84,498.71,400,487.1,400H360a8,8,0,0,1,0-16H520a24,24,0,0,0,23.54-28.76C541.35,343.84,530.71,336,519.1,336ZM416,64a32,32,0,1,0-32-32A32,32,0,0,0,416,64ZM112,416a48,48,0,1,0,48,48A48,48,0,0,0,112,416Z\"]\n};\nvar faHandshake = {\n prefix: 'fas',\n iconName: 'handshake',\n icon: [640, 512, [], \"f2b5\", \"M434.7 64h-85.9c-8 0-15.7 3-21.6 8.4l-98.3 90c-.1.1-.2.3-.3.4-16.6 15.6-16.3 40.5-2.1 56 12.7 13.9 39.4 17.6 56.1 2.7.1-.1.3-.1.4-.2l79.9-73.2c6.5-5.9 16.7-5.5 22.6 1 6 6.5 5.5 16.6-1 22.6l-26.1 23.9L504 313.8c2.9 2.4 5.5 5 7.9 7.7V128l-54.6-54.6c-5.9-6-14.1-9.4-22.6-9.4zM544 128.2v223.9c0 17.7 14.3 32 32 32h64V128.2h-96zm48 223.9c-8.8 0-16-7.2-16-16s7.2-16 16-16 16 7.2 16 16-7.2 16-16 16zM0 384h64c17.7 0 32-14.3 32-32V128.2H0V384zm48-63.9c8.8 0 16 7.2 16 16s-7.2 16-16 16-16-7.2-16-16c0-8.9 7.2-16 16-16zm435.9 18.6L334.6 217.5l-30 27.5c-29.7 27.1-75.2 24.5-101.7-4.4-26.9-29.4-24.8-74.9 4.4-101.7L289.1 64h-83.8c-8.5 0-16.6 3.4-22.6 9.4L128 128v223.9h18.3l90.5 81.9c27.4 22.3 67.7 18.1 90-9.3l.2-.2 17.9 15.5c15.9 13 39.4 10.5 52.3-5.4l31.4-38.6 5.4 4.4c13.7 11.1 33.9 9.1 45-4.7l9.5-11.7c11.2-13.8 9.1-33.9-4.6-45.1z\"]\n};\nvar faHandshakeAltSlash = {\n prefix: 'fas',\n iconName: 'handshake-alt-slash',\n icon: [640, 512, [], \"f95f\", \"M358.59,195.6,504.2,313.8a63.4,63.4,0,0,1,22.21,37.91H624a16.05,16.05,0,0,0,16-16V143.91A16,16,0,0,0,624,128H512L457.41,73.41A32,32,0,0,0,434.8,64H348.91a32,32,0,0,0-21.61,8.41l-88.12,80.68-25.69-19.85L289.09,64H205.3a32,32,0,0,0-22.6,9.41l-20.34,20.3L45.47,3.38A16,16,0,0,0,23,6.19L3.38,31.46A16,16,0,0,0,6.19,53.91L594.54,508.63A16,16,0,0,0,617,505.82l19.64-25.27a16,16,0,0,0-2.81-22.45L303.4,202.72l32.69-29.92,27-24.7a16,16,0,0,1,21.61,23.61ZM16,128A16.05,16.05,0,0,0,0,144V335.91a16,16,0,0,0,16,16H146.3l90.5,81.89a64,64,0,0,0,90-9.3l.2-.2,17.91,15.5a37.16,37.16,0,0,0,52.29-5.39l8.8-10.82L23.56,128Z\"]\n};\nvar faHandshakeSlash = {\n prefix: 'fas',\n iconName: 'handshake-slash',\n icon: [640, 512, [], \"f960\", \"M0,128.21V384H64a32,32,0,0,0,32-32V184L23.83,128.21ZM48,320.1a16,16,0,1,1-16,16A16,16,0,0,1,48,320.1Zm80,31.81h18.3l90.5,81.89a64,64,0,0,0,90-9.3l.2-.2,17.91,15.5a37.16,37.16,0,0,0,52.29-5.39l8.8-10.82L128,208.72Zm416-223.7V352.1a32,32,0,0,0,32,32h64V128.21ZM592,352.1a16,16,0,1,1,16-16A16,16,0,0,1,592,352.1ZM303.33,202.67l59.58-54.57a16,16,0,0,1,21.59,23.61L358.41,195.6,504,313.8a73.08,73.08,0,0,1,7.91,7.7V128L457.3,73.41A31.76,31.76,0,0,0,434.7,64H348.8a31.93,31.93,0,0,0-21.6,8.41l-88.07,80.64-25.64-19.81L289.09,64H205.3a32,32,0,0,0-22.6,9.41L162.36,93.72,45.47,3.38A16,16,0,0,0,23,6.19L3.38,31.46A16,16,0,0,0,6.19,53.91L594.53,508.63A16,16,0,0,0,617,505.82l19.65-25.27a16,16,0,0,0-2.82-22.45Z\"]\n};\nvar faHanukiah = {\n prefix: 'fas',\n iconName: 'hanukiah',\n icon: [640, 512, [], \"f6e6\", \"M232 160c-4.42 0-8 3.58-8 8v120h32V168c0-4.42-3.58-8-8-8h-16zm-64 0c-4.42 0-8 3.58-8 8v120h32V168c0-4.42-3.58-8-8-8h-16zm224 0c-4.42 0-8 3.58-8 8v120h32V168c0-4.42-3.58-8-8-8h-16zm64 0c-4.42 0-8 3.58-8 8v120h32V168c0-4.42-3.58-8-8-8h-16zm88 8c0-4.42-3.58-8-8-8h-16c-4.42 0-8 3.58-8 8v120h32V168zm-440-8c-4.42 0-8 3.58-8 8v120h32V168c0-4.42-3.58-8-8-8h-16zm520 0h-32c-8.84 0-16 7.16-16 16v112c0 17.67-14.33 32-32 32H352V128c0-8.84-7.16-16-16-16h-32c-8.84 0-16 7.16-16 16v192H96c-17.67 0-32-14.33-32-32V176c0-8.84-7.16-16-16-16H16c-8.84 0-16 7.16-16 16v112c0 53.02 42.98 96 96 96h192v64H112c-8.84 0-16 7.16-16 16v32c0 8.84 7.16 16 16 16h416c8.84 0 16-7.16 16-16v-32c0-8.84-7.16-16-16-16H352v-64h192c53.02 0 96-42.98 96-96V176c0-8.84-7.16-16-16-16zm-16-32c13.25 0 24-11.94 24-26.67S608 48 608 48s-24 38.61-24 53.33S594.75 128 608 128zm-576 0c13.25 0 24-11.94 24-26.67S32 48 32 48 8 86.61 8 101.33 18.75 128 32 128zm288-48c13.25 0 24-11.94 24-26.67S320 0 320 0s-24 38.61-24 53.33S306.75 80 320 80zm-208 48c13.25 0 24-11.94 24-26.67S112 48 112 48s-24 38.61-24 53.33S98.75 128 112 128zm64 0c13.25 0 24-11.94 24-26.67S176 48 176 48s-24 38.61-24 53.33S162.75 128 176 128zm64 0c13.25 0 24-11.94 24-26.67S240 48 240 48s-24 38.61-24 53.33S226.75 128 240 128zm160 0c13.25 0 24-11.94 24-26.67S400 48 400 48s-24 38.61-24 53.33S386.75 128 400 128zm64 0c13.25 0 24-11.94 24-26.67S464 48 464 48s-24 38.61-24 53.33S450.75 128 464 128zm64 0c13.25 0 24-11.94 24-26.67S528 48 528 48s-24 38.61-24 53.33S514.75 128 528 128z\"]\n};\nvar faHardHat = {\n prefix: 'fas',\n iconName: 'hard-hat',\n icon: [512, 512, [], \"f807\", \"M480 288c0-80.25-49.28-148.92-119.19-177.62L320 192V80a16 16 0 0 0-16-16h-96a16 16 0 0 0-16 16v112l-40.81-81.62C81.28 139.08 32 207.75 32 288v64h448zm16 96H16a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h480a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16z\"]\n};\nvar faHashtag = {\n prefix: 'fas',\n iconName: 'hashtag',\n icon: [448, 512, [], \"f292\", \"M440.667 182.109l7.143-40c1.313-7.355-4.342-14.109-11.813-14.109h-74.81l14.623-81.891C377.123 38.754 371.468 32 363.997 32h-40.632a12 12 0 0 0-11.813 9.891L296.175 128H197.54l14.623-81.891C213.477 38.754 207.822 32 200.35 32h-40.632a12 12 0 0 0-11.813 9.891L132.528 128H53.432a12 12 0 0 0-11.813 9.891l-7.143 40C33.163 185.246 38.818 192 46.289 192h74.81L98.242 320H19.146a12 12 0 0 0-11.813 9.891l-7.143 40C-1.123 377.246 4.532 384 12.003 384h74.81L72.19 465.891C70.877 473.246 76.532 480 84.003 480h40.632a12 12 0 0 0 11.813-9.891L151.826 384h98.634l-14.623 81.891C234.523 473.246 240.178 480 247.65 480h40.632a12 12 0 0 0 11.813-9.891L315.472 384h79.096a12 12 0 0 0 11.813-9.891l7.143-40c1.313-7.355-4.342-14.109-11.813-14.109h-74.81l22.857-128h79.096a12 12 0 0 0 11.813-9.891zM261.889 320h-98.634l22.857-128h98.634l-22.857 128z\"]\n};\nvar faHatCowboy = {\n prefix: 'fas',\n iconName: 'hat-cowboy',\n icon: [640, 512, [], \"f8c0\", \"M490 296.9C480.51 239.51 450.51 64 392.3 64c-14 0-26.49 5.93-37 14a58.21 58.21 0 0 1-70.58 0c-10.51-8-23-14-37-14-58.2 0-88.2 175.47-97.71 232.88C188.81 309.47 243.73 320 320 320s131.23-10.51 170-23.1zm142.9-37.18a16 16 0 0 0-19.75 1.5c-1 .9-101.27 90.78-293.16 90.78-190.82 0-292.22-89.94-293.24-90.84A16 16 0 0 0 1 278.53C1.73 280.55 78.32 480 320 480s318.27-199.45 319-201.47a16 16 0 0 0-6.09-18.81z\"]\n};\nvar faHatCowboySide = {\n prefix: 'fas',\n iconName: 'hat-cowboy-side',\n icon: [640, 512, [], \"f8c1\", \"M260.8 291.06c-28.63-22.94-62-35.06-96.4-35.06C87 256 21.47 318.72 1.43 412.06c-3.55 16.6-.43 33.83 8.57 47.3C18.75 472.47 31.83 480 45.88 480H592c-103.21 0-155-37.07-233.19-104.46zm234.65-18.29L468.4 116.2A64 64 0 0 0 392 64.41L200.85 105a64 64 0 0 0-50.35 55.79L143.61 226c6.9-.83 13.7-2 20.79-2 41.79 0 82 14.55 117.29 42.82l98 84.48C450.76 412.54 494.9 448 592 448a48 48 0 0 0 48-48c0-25.39-29.6-119.33-144.55-127.23z\"]\n};\nvar faHatWizard = {\n prefix: 'fas',\n iconName: 'hat-wizard',\n icon: [512, 512, [], \"f6e8\", \"M496 448H16c-8.84 0-16 7.16-16 16v32c0 8.84 7.16 16 16 16h480c8.84 0 16-7.16 16-16v-32c0-8.84-7.16-16-16-16zm-304-64l-64-32 64-32 32-64 32 64 64 32-64 32-16 32h208l-86.41-201.63a63.955 63.955 0 0 1-1.89-45.45L416 0 228.42 107.19a127.989 127.989 0 0 0-53.46 59.15L64 416h144l-16-32zm64-224l16-32 16 32 32 16-32 16-16 32-16-32-32-16 32-16z\"]\n};\nvar faHdd = {\n prefix: 'fas',\n iconName: 'hdd',\n icon: [576, 512, [], \"f0a0\", \"M576 304v96c0 26.51-21.49 48-48 48H48c-26.51 0-48-21.49-48-48v-96c0-26.51 21.49-48 48-48h480c26.51 0 48 21.49 48 48zm-48-80a79.557 79.557 0 0 1 30.777 6.165L462.25 85.374A48.003 48.003 0 0 0 422.311 64H153.689a48 48 0 0 0-39.938 21.374L17.223 230.165A79.557 79.557 0 0 1 48 224h480zm-48 96c-17.673 0-32 14.327-32 32s14.327 32 32 32 32-14.327 32-32-14.327-32-32-32zm-96 0c-17.673 0-32 14.327-32 32s14.327 32 32 32 32-14.327 32-32-14.327-32-32-32z\"]\n};\nvar faHeadSideCough = {\n prefix: 'fas',\n iconName: 'head-side-cough',\n icon: [640, 512, [], \"f961\", \"M616,304a24,24,0,1,0-24-24A24,24,0,0,0,616,304ZM552,416a24,24,0,1,0,24,24A24,24,0,0,0,552,416Zm-64-56a24,24,0,1,0,24,24A24,24,0,0,0,488,360ZM616,464a24,24,0,1,0,24,24A24,24,0,0,0,616,464Zm0-104a24,24,0,1,0,24,24A24,24,0,0,0,616,360Zm-64-40a24,24,0,1,0,24,24A24,24,0,0,0,552,320Zm-74.78-45c-21-47.12-48.5-151.75-73.12-186.75A208.13,208.13,0,0,0,234.1,0H192C86,0,0,86,0,192c0,56.75,24.75,107.62,64,142.88V512H288V480h64a64,64,0,0,0,64-64H320a32,32,0,0,1,0-64h96V320h32A32,32,0,0,0,477.22,275ZM288,224a32,32,0,1,1,32-32A32.07,32.07,0,0,1,288,224Z\"]\n};\nvar faHeadSideCoughSlash = {\n prefix: 'fas',\n iconName: 'head-side-cough-slash',\n icon: [640, 512, [], \"f962\", \"M454.11,319.21c19.56-3.81,31.62-25,23.11-44.21-21-47.12-48.5-151.75-73.12-186.75A208.13,208.13,0,0,0,234.1,0H192A190.64,190.64,0,0,0,84.18,33.3L45.46,3.38A16,16,0,0,0,23,6.19L3.37,31.46A16,16,0,0,0,6.18,53.91L594.53,508.63A16,16,0,0,0,617,505.82l19.64-25.27a16,16,0,0,0-2.81-22.45ZM313.39,210.45,263.61,172c5.88-7.14,14.43-12,24.36-12a32.06,32.06,0,0,1,32,32C320,199,317.24,205.17,313.39,210.45ZM616,304a24,24,0,1,0-24-24A24,24,0,0,0,616,304Zm-64,64a24,24,0,1,0-24-24A24,24,0,0,0,552,368ZM288,384a32,32,0,0,1,32-32h19.54L20.73,105.59A190.86,190.86,0,0,0,0,192c0,56.75,24.75,107.62,64,142.88V512H288V480h64a64,64,0,0,0,64-64H320A32,32,0,0,1,288,384Zm328-24a24,24,0,1,0,24,24A24,24,0,0,0,616,360Z\"]\n};\nvar faHeadSideMask = {\n prefix: 'fas',\n iconName: 'head-side-mask',\n icon: [512, 512, [], \"f963\", \"M.15,184.42C-2.17,244.21,23,298.06,64,334.88V512H224V316.51L3.67,156.25A182.28,182.28,0,0,0,.15,184.42ZM509.22,275c-21-47.12-48.5-151.75-73.12-186.75A208.11,208.11,0,0,0,266.11,0H200C117,0,42.48,50.57,13.25,123.65L239.21,288H511.76A31.35,31.35,0,0,0,509.22,275ZM320,224a32,32,0,1,1,32-32A32.07,32.07,0,0,1,320,224Zm16,144H496l16-48H256V512H401.88a64,64,0,0,0,60.71-43.76L464,464H336a16,16,0,0,1,0-32H474.67l10.67-32H336a16,16,0,0,1,0-32Z\"]\n};\nvar faHeadSideVirus = {\n prefix: 'fas',\n iconName: 'head-side-virus',\n icon: [512, 512, [], \"f964\", \"M272,240a16,16,0,1,0,16,16A16,16,0,0,0,272,240Zm-64-64a16,16,0,1,0,16,16A16,16,0,0,0,208,176Zm301.2,99c-20.93-47.12-48.43-151.73-73.07-186.75A207.9,207.9,0,0,0,266.09,0H192C86,0,0,86,0,192A191.23,191.23,0,0,0,64,334.81V512H320V448h64a64,64,0,0,0,64-64V320H480A32,32,0,0,0,509.2,275ZM368,240H355.88c-28.51,0-42.79,34.47-22.63,54.63l8.58,8.57a16,16,0,1,1-22.63,22.63l-8.57-8.58C290.47,297.09,256,311.37,256,339.88V352a16,16,0,0,1-32,0V339.88c0-28.51-34.47-42.79-54.63-22.63l-8.57,8.58a16,16,0,0,1-22.63-22.63l8.58-8.57c20.16-20.16,5.88-54.63-22.63-54.63H112a16,16,0,0,1,0-32h12.12c28.51,0,42.79-34.47,22.63-54.63l-8.58-8.57a16,16,0,0,1,22.63-22.63l8.57,8.58c20.16,20.16,54.63,5.88,54.63-22.63V96a16,16,0,0,1,32,0v12.12c0,28.51,34.47,42.79,54.63,22.63l8.57-8.58a16,16,0,0,1,22.63,22.63l-8.58,8.57C313.09,173.53,327.37,208,355.88,208H368a16,16,0,0,1,0,32Z\"]\n};\nvar faHeading = {\n prefix: 'fas',\n iconName: 'heading',\n icon: [512, 512, [], \"f1dc\", \"M448 96v320h32a16 16 0 0 1 16 16v32a16 16 0 0 1-16 16H320a16 16 0 0 1-16-16v-32a16 16 0 0 1 16-16h32V288H160v128h32a16 16 0 0 1 16 16v32a16 16 0 0 1-16 16H32a16 16 0 0 1-16-16v-32a16 16 0 0 1 16-16h32V96H32a16 16 0 0 1-16-16V48a16 16 0 0 1 16-16h160a16 16 0 0 1 16 16v32a16 16 0 0 1-16 16h-32v128h192V96h-32a16 16 0 0 1-16-16V48a16 16 0 0 1 16-16h160a16 16 0 0 1 16 16v32a16 16 0 0 1-16 16z\"]\n};\nvar faHeadphones = {\n prefix: 'fas',\n iconName: 'headphones',\n icon: [512, 512, [], \"f025\", \"M256 32C114.52 32 0 146.496 0 288v48a32 32 0 0 0 17.689 28.622l14.383 7.191C34.083 431.903 83.421 480 144 480h24c13.255 0 24-10.745 24-24V280c0-13.255-10.745-24-24-24h-24c-31.342 0-59.671 12.879-80 33.627V288c0-105.869 86.131-192 192-192s192 86.131 192 192v1.627C427.671 268.879 399.342 256 368 256h-24c-13.255 0-24 10.745-24 24v176c0 13.255 10.745 24 24 24h24c60.579 0 109.917-48.098 111.928-108.187l14.382-7.191A32 32 0 0 0 512 336v-48c0-141.479-114.496-256-256-256z\"]\n};\nvar faHeadphonesAlt = {\n prefix: 'fas',\n iconName: 'headphones-alt',\n icon: [512, 512, [], \"f58f\", \"M160 288h-16c-35.35 0-64 28.7-64 64.12v63.76c0 35.41 28.65 64.12 64 64.12h16c17.67 0 32-14.36 32-32.06V320.06c0-17.71-14.33-32.06-32-32.06zm208 0h-16c-17.67 0-32 14.35-32 32.06v127.88c0 17.7 14.33 32.06 32 32.06h16c35.35 0 64-28.71 64-64.12v-63.76c0-35.41-28.65-64.12-64-64.12zM256 32C112.91 32 4.57 151.13 0 288v112c0 8.84 7.16 16 16 16h16c8.84 0 16-7.16 16-16V288c0-114.67 93.33-207.8 208-207.82 114.67.02 208 93.15 208 207.82v112c0 8.84 7.16 16 16 16h16c8.84 0 16-7.16 16-16V288C507.43 151.13 399.09 32 256 32z\"]\n};\nvar faHeadset = {\n prefix: 'fas',\n iconName: 'headset',\n icon: [512, 512, [], \"f590\", \"M192 208c0-17.67-14.33-32-32-32h-16c-35.35 0-64 28.65-64 64v48c0 35.35 28.65 64 64 64h16c17.67 0 32-14.33 32-32V208zm176 144c35.35 0 64-28.65 64-64v-48c0-35.35-28.65-64-64-64h-16c-17.67 0-32 14.33-32 32v112c0 17.67 14.33 32 32 32h16zM256 0C113.18 0 4.58 118.83 0 256v16c0 8.84 7.16 16 16 16h16c8.84 0 16-7.16 16-16v-16c0-114.69 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\"M320.2 243.8l-49.7 99.4c-6 12.1-23.4 11.7-28.9-.6l-56.9-126.3-30 71.7H60.6l182.5 186.5c7.1 7.3 18.6 7.3 25.7 0L451.4 288H342.3l-22.1-44.2zM473.7 73.9l-2.4-2.5c-51.5-52.6-135.8-52.6-187.4 0L256 100l-27.9-28.5c-51.5-52.7-135.9-52.7-187.4 0l-2.4 2.4C-10.4 123.7-12.5 203 31 256h102.4l35.9-86.2c5.4-12.9 23.6-13.2 29.4-.4l58.2 129.3 49-97.9c5.9-11.8 22.7-11.8 28.6 0l27.6 55.2H481c43.5-53 41.4-132.3-7.3-182.1z\"]\n};\nvar faHelicopter = {\n prefix: 'fas',\n iconName: 'helicopter',\n icon: [640, 512, [], \"f533\", \"M304 384h272c17.67 0 32-14.33 32-32 0-123.71-100.29-224-224-224V64h176c8.84 0 16-7.16 16-16V16c0-8.84-7.16-16-16-16H144c-8.84 0-16 7.16-16 16v32c0 8.84 7.16 16 16 16h176v64H112L68.8 70.4C65.78 66.37 61.03 64 56 64H16.01C5.6 64-2.04 73.78.49 83.88L32 192l160 64 86.4 115.2A31.992 31.992 0 0 0 304 384zm112-188.49C478.55 208.3 528.03 257.44 540.79 320H416V195.51zm219.37 263.3l-22.15-22.2c-6.25-6.26-16.24-6.1-22.64.01-7.09 6.77-13.84 11.25-24.64 11.25H240c-8.84 0-16 7.18-16 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= {\n prefix: 'fas',\n iconName: 'laptop',\n icon: [640, 512, [], \"f109\", \"M624 416H381.54c-.74 19.81-14.71 32-32.74 32H288c-18.69 0-33.02-17.47-32.77-32H16c-8.8 0-16 7.2-16 16v16c0 35.2 28.8 64 64 64h512c35.2 0 64-28.8 64-64v-16c0-8.8-7.2-16-16-16zM576 48c0-26.4-21.6-48-48-48H112C85.6 0 64 21.6 64 48v336h512V48zm-64 272H128V64h384v256z\"]\n};\nvar faLaptopCode = {\n prefix: 'fas',\n iconName: 'laptop-code',\n icon: [640, 512, [], \"f5fc\", \"M255.03 261.65c6.25 6.25 16.38 6.25 22.63 0l11.31-11.31c6.25-6.25 6.25-16.38 0-22.63L253.25 192l35.71-35.72c6.25-6.25 6.25-16.38 0-22.63l-11.31-11.31c-6.25-6.25-16.38-6.25-22.63 0l-58.34 58.34c-6.25 6.25-6.25 16.38 0 22.63l58.35 58.34zm96.01-11.3l11.31 11.31c6.25 6.25 16.38 6.25 22.63 0l58.34-58.34c6.25-6.25 6.25-16.38 0-22.63l-58.34-58.34c-6.25-6.25-16.38-6.25-22.63 0l-11.31 11.31c-6.25 6.25-6.25 16.38 0 22.63L386.75 192l-35.71 35.72c-6.25 6.25-6.25 16.38 0 22.63zM624 416H381.54c-.74 19.81-14.71 32-32.74 32H288c-18.69 0-33.02-17.47-32.77-32H16c-8.8 0-16 7.2-16 16v16c0 35.2 28.8 64 64 64h512c35.2 0 64-28.8 64-64v-16c0-8.8-7.2-16-16-16zM576 48c0-26.4-21.6-48-48-48H112C85.6 0 64 21.6 64 48v336h512V48zm-64 272H128V64h384v256z\"]\n};\nvar faLaptopHouse = {\n prefix: 'fas',\n iconName: 'laptop-house',\n icon: [640, 512, [], \"f966\", \"M272,288H208a16,16,0,0,1-16-16V208a16,16,0,0,1,16-16h64a16,16,0,0,1,16,16v37.12C299.11,232.24,315,224,332.8,224H469.74l6.65-7.53A16.51,16.51,0,0,0,480,207a16.31,16.31,0,0,0-4.75-10.61L416,144V48a16,16,0,0,0-16-16H368a16,16,0,0,0-16,16V87.3L263.5,8.92C258,4,247.45,0,240.05,0s-17.93,4-23.47,8.92L4.78,196.42A16.15,16.15,0,0,0,0,207a16.4,16.4,0,0,0,3.55,9.39L22.34,237.7A16.22,16.22,0,0,0,33,242.48,16.51,16.51,0,0,0,42.34,239L64,219.88V384a32,32,0,0,0,32,32H272ZM629.33,448H592V288c0-17.67-12.89-32-28.8-32H332.8c-15.91,0-28.8,14.33-28.8,32V448H266.67A10.67,10.67,0,0,0,256,458.67v10.66A42.82,42.82,0,0,0,298.6,512H597.4A42.82,42.82,0,0,0,640,469.33V458.67A10.67,10.67,0,0,0,629.33,448ZM544,448H352V304H544Z\"]\n};\nvar faLaptopMedical = {\n prefix: 'fas',\n iconName: 'laptop-medical',\n icon: [640, 512, [], \"f812\", \"M232 224h56v56a8 8 0 0 0 8 8h48a8 8 0 0 0 8-8v-56h56a8 8 0 0 0 8-8v-48a8 8 0 0 0-8-8h-56v-56a8 8 0 0 0-8-8h-48a8 8 0 0 0-8 8v56h-56a8 8 0 0 0-8 8v48a8 8 0 0 0 8 8zM576 48a48.14 48.14 0 0 0-48-48H112a48.14 48.14 0 0 0-48 48v336h512zm-64 272H128V64h384zm112 96H381.54c-.74 19.81-14.71 32-32.74 32H288c-18.69 0-33-17.47-32.77-32H16a16 16 0 0 0-16 16v16a64.19 64.19 0 0 0 64 64h512a64.19 64.19 0 0 0 64-64v-16a16 16 0 0 0-16-16z\"]\n};\nvar faLaugh = {\n prefix: 'fas',\n iconName: 'laugh',\n icon: [496, 512, [], \"f599\", \"M248 8C111 8 0 119 0 256s111 248 248 248 248-111 248-248S385 8 248 8zm80 152c17.7 0 32 14.3 32 32s-14.3 32-32 32-32-14.3-32-32 14.3-32 32-32zm-160 0c17.7 0 32 14.3 32 32s-14.3 32-32 32-32-14.3-32-32 14.3-32 32-32zm88 272h-16c-73.4 0-134-55-142.9-126-1.2-9.5 6.3-18 15.9-18h270c9.6 0 17.1 8.4 15.9 18-8.9 71-69.5 126-142.9 126z\"]\n};\nvar faLaughBeam = {\n prefix: 'fas',\n iconName: 'laugh-beam',\n icon: [496, 512, [], \"f59a\", \"M248 8C111 8 0 119 0 256s111 248 248 248 248-111 248-248S385 8 248 8zm24 199.4c3.3-42.1 32.2-71.4 56-71.4s52.7 29.3 56 71.4c.7 8.6-10.8 11.9-14.9 4.5l-9.5-17c-7.7-13.7-19.2-21.6-31.5-21.6s-23.8 7.9-31.5 21.6l-9.5 17c-4.2 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\"f124\", \"M444.52 3.52L28.74 195.42c-47.97 22.39-31.98 92.75 19.19 92.75h175.91v175.91c0 51.17 70.36 67.17 92.75 19.19l191.9-415.78c15.99-38.39-25.59-79.97-63.97-63.97z\"]\n};\nvar faLock = {\n prefix: 'fas',\n iconName: 'lock',\n icon: [448, 512, [], \"f023\", \"M400 224h-24v-72C376 68.2 307.8 0 224 0S72 68.2 72 152v72H48c-26.5 0-48 21.5-48 48v192c0 26.5 21.5 48 48 48h352c26.5 0 48-21.5 48-48V272c0-26.5-21.5-48-48-48zm-104 0H152v-72c0-39.7 32.3-72 72-72s72 32.3 72 72v72z\"]\n};\nvar faLockOpen = {\n prefix: 'fas',\n iconName: 'lock-open',\n icon: [576, 512, [], \"f3c1\", \"M423.5 0C339.5.3 272 69.5 272 153.5V224H48c-26.5 0-48 21.5-48 48v192c0 26.5 21.5 48 48 48h352c26.5 0 48-21.5 48-48V272c0-26.5-21.5-48-48-48h-48v-71.1c0-39.6 31.7-72.5 71.3-72.9 40-.4 72.7 32.1 72.7 72v80c0 13.3 10.7 24 24 24h32c13.3 0 24-10.7 24-24v-80C576 68 507.5-.3 423.5 0z\"]\n};\nvar faLongArrowAltDown = {\n prefix: 'fas',\n iconName: 'long-arrow-alt-down',\n icon: [256, 512, [], \"f309\", \"M168 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26.51-21.49 48-48 48H144c-26.51 0-48-21.49-48-48V48c0-26.51 21.49-48 48-48h224c26.51 0 48 21.49 48 48zm96 58v12a6 6 0 0 1-6 6h-18v6a6 6 0 0 1-6 6h-42V88h42a6 6 0 0 1 6 6v6h18a6 6 0 0 1 6 6zm0 96v12a6 6 0 0 1-6 6h-18v6a6 6 0 0 1-6 6h-42v-48h42a6 6 0 0 1 6 6v6h18a6 6 0 0 1 6 6zm0 96v12a6 6 0 0 1-6 6h-18v6a6 6 0 0 1-6 6h-42v-48h42a6 6 0 0 1 6 6v6h18a6 6 0 0 1 6 6zm0 96v12a6 6 0 0 1-6 6h-18v6a6 6 0 0 1-6 6h-42v-48h42a6 6 0 0 1 6 6v6h18a6 6 0 0 1 6 6zM30 376h42v48H30a6 6 0 0 1-6-6v-6H6a6 6 0 0 1-6-6v-12a6 6 0 0 1 6-6h18v-6a6 6 0 0 1 6-6zm0-96h42v48H30a6 6 0 0 1-6-6v-6H6a6 6 0 0 1-6-6v-12a6 6 0 0 1 6-6h18v-6a6 6 0 0 1 6-6zm0-96h42v48H30a6 6 0 0 1-6-6v-6H6a6 6 0 0 1-6-6v-12a6 6 0 0 1 6-6h18v-6a6 6 0 0 1 6-6zm0-96h42v48H30a6 6 0 0 1-6-6v-6H6a6 6 0 0 1-6-6v-12a6 6 0 0 1 6-6h18v-6a6 6 0 0 1 6-6z\"]\n};\nvar faMicrophone = {\n prefix: 'fas',\n iconName: 'microphone',\n icon: [352, 512, [], \"f130\", \"M176 352c53.02 0 96-42.98 96-96V96c0-53.02-42.98-96-96-96S80 42.98 80 96v160c0 53.02 42.98 96 96 96zm160-160h-16c-8.84 0-16 7.16-16 16v48c0 74.8-64.49 134.82-140.79 127.38C96.71 376.89 48 317.11 48 250.3V208c0-8.84-7.16-16-16-16H16c-8.84 0-16 7.16-16 16v40.16c0 89.64 63.97 169.55 152 181.69V464H96c-8.84 0-16 7.16-16 16v16c0 8.84 7.16 16 16 16h160c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16h-56v-33.77C285.71 418.47 352 344.9 352 256v-48c0-8.84-7.16-16-16-16z\"]\n};\nvar faMicrophoneAlt = {\n prefix: 'fas',\n iconName: 'microphone-alt',\n icon: [352, 512, [], \"f3c9\", \"M336 192h-16c-8.84 0-16 7.16-16 16v48c0 74.8-64.49 134.82-140.79 127.38C96.71 376.89 48 317.11 48 250.3V208c0-8.84-7.16-16-16-16H16c-8.84 0-16 7.16-16 16v40.16c0 89.64 63.97 169.55 152 181.69V464H96c-8.84 0-16 7.16-16 16v16c0 8.84 7.16 16 16 16h160c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16h-56v-33.77C285.71 418.47 352 344.9 352 256v-48c0-8.84-7.16-16-16-16zM176 352c53.02 0 96-42.98 96-96h-85.33c-5.89 0-10.67-3.58-10.67-8v-16c0-4.42 4.78-8 10.67-8H272v-32h-85.33c-5.89 0-10.67-3.58-10.67-8v-16c0-4.42 4.78-8 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[512, 512, [], \"f610\", \"M160 320h12v16c0 8.84 7.16 16 16 16h40c8.84 0 16-7.16 16-16v-16h12c17.67 0 32-14.33 32-32V64c0-17.67-14.33-32-32-32V16c0-8.84-7.16-16-16-16h-64c-8.84 0-16 7.16-16 16v16c-17.67 0-32 14.33-32 32v224c0 17.67 14.33 32 32 32zm304 128h-1.29C493.24 413.99 512 369.2 512 320c0-105.88-86.12-192-192-192v64c70.58 0 128 57.42 128 128s-57.42 128-128 128H48c-26.51 0-48 21.49-48 48 0 8.84 7.16 16 16 16h480c8.84 0 16-7.16 16-16 0-26.51-21.49-48-48-48zm-360-32h208c4.42 0 8-3.58 8-8v-16c0-4.42-3.58-8-8-8H104c-4.42 0-8 3.58-8 8v16c0 4.42 3.58 8 8 8z\"]\n};\nvar faMinus = {\n prefix: 'fas',\n iconName: 'minus',\n icon: [448, 512, [], \"f068\", \"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"]\n};\nvar faMinusCircle = {\n prefix: 'fas',\n iconName: 'minus-circle',\n icon: [512, 512, [], \"f056\", \"M256 8C119 8 8 119 8 256s111 248 248 248 248-111 248-248S393 8 256 8zM124 296c-6.6 0-12-5.4-12-12v-56c0-6.6 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30.89 0 61.76 3.92 92.65 13.72 3.47 1.1 6.95 1.62 10.35 1.62 17.21 0 32.25-13.32 32.25-31.81V83.93c-.01-12.64-7.24-24.6-18.85-29.47zM48 132.22c20.12 5.04 41.12 7.57 62.72 8.93C104.84 170.54 79 192.69 48 192.69v-60.47zm0 285v-47.78c34.37 0 62.18 27.27 63.71 61.4-22.53-1.81-43.59-6.31-63.71-13.62zM320 352c-44.19 0-80-42.99-80-96 0-53.02 35.82-96 80-96s80 42.98 80 96c0 53.03-35.83 96-80 96zm272 27.78c-17.52-4.39-35.71-6.85-54.32-8.44 5.87-26.08 27.5-45.88 54.32-49.28v57.72zm0-236.11c-30.89-3.91-54.86-29.7-55.81-61.55 19.54 2.17 38.09 6.23 55.81 12.66v48.89z\"]\n};\nvar faMoneyBillWaveAlt = {\n prefix: 'fas',\n iconName: 'money-bill-wave-alt',\n icon: [640, 512, [], \"f53b\", \"M621.16 54.46C582.37 38.19 543.55 32 504.75 32c-123.17-.01-246.33 62.34-369.5 62.34-30.89 0-61.76-3.92-92.65-13.72-3.47-1.1-6.95-1.62-10.35-1.62C15.04 79 0 92.32 0 110.81v317.26c0 12.63 7.23 24.6 18.84 29.46C57.63 473.81 96.45 480 135.25 480c123.17 0 246.34-62.35 369.51-62.35 30.89 0 61.76 3.92 92.65 13.72 3.47 1.1 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\"M400 480H48c-26.5 0-48-21.5-48-48V80c0-26.5 21.5-48 48-48h352c26.5 0 48 21.5 48 48v352c0 26.5-21.5 48-48 48zM238.1 177.9L102.4 313.6l-6.3 57.1c-.8 7.6 5.6 14.1 13.3 13.3l57.1-6.3L302.2 242c2.3-2.3 2.3-6.1 0-8.5L246.7 178c-2.5-2.4-6.3-2.4-8.6-.1zM345 165.1L314.9 135c-9.4-9.4-24.6-9.4-33.9 0l-23.1 23.1c-2.3 2.3-2.3 6.1 0 8.5l55.5 55.5c2.3 2.3 6.1 2.3 8.5 0L345 199c9.3-9.3 9.3-24.5 0-33.9z\"]\n};\nvar faPencilAlt = {\n prefix: 'fas',\n iconName: 'pencil-alt',\n icon: [512, 512, [], \"f303\", \"M497.9 142.1l-46.1 46.1c-4.7 4.7-12.3 4.7-17 0l-111-111c-4.7-4.7-4.7-12.3 0-17l46.1-46.1c18.7-18.7 49.1-18.7 67.9 0l60.1 60.1c18.8 18.7 18.8 49.1 0 67.9zM284.2 99.8L21.6 362.4.4 483.9c-2.9 16.4 11.4 30.6 27.8 27.8l121.5-21.3 262.6-262.6c4.7-4.7 4.7-12.3 0-17l-111-111c-4.8-4.7-12.4-4.7-17.1 0zM124.1 339.9c-5.5-5.5-5.5-14.3 0-19.8l154-154c5.5-5.5 14.3-5.5 19.8 0s5.5 14.3 0 19.8l-154 154c-5.5 5.5-14.3 5.5-19.8 0zM88 424h48v36.3l-64.5 11.3-31.1-31.1L51.7 376H88v48z\"]\n};\nvar faPencilRuler = {\n 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{\n prefix: 'fas',\n iconName: 'phone-alt',\n icon: [512, 512, [], \"f879\", \"M497.39 361.8l-112-48a24 24 0 0 0-28 6.9l-49.6 60.6A370.66 370.66 0 0 1 130.6 204.11l60.6-49.6a23.94 23.94 0 0 0 6.9-28l-48-112A24.16 24.16 0 0 0 122.6.61l-104 24A24 24 0 0 0 0 48c0 256.5 207.9 464 464 464a24 24 0 0 0 23.4-18.6l24-104a24.29 24.29 0 0 0-14.01-27.6z\"]\n};\nvar faPhoneSlash = {\n prefix: 'fas',\n iconName: 'phone-slash',\n icon: [640, 512, [], \"f3dd\", \"M268.2 381.4l-49.6-60.6c-6.8-8.3-18.2-11.1-28-6.9l-112 48c-10.7 4.6-16.5 16.1-13.9 27.5l24 104c2.5 10.8 12.1 18.6 23.4 18.6 100.7 0 193.7-32.4 269.7-86.9l-80-61.8c-10.9 6.5-22.1 12.7-33.6 18.1zm365.6 76.7L475.1 335.5C537.9 256.4 576 156.9 576 48c0-11.2-7.7-20.9-18.6-23.4l-104-24c-11.3-2.6-22.9 3.3-27.5 13.9l-48 112c-4.2 9.8-1.4 21.3 6.9 28l60.6 49.6c-12.2 26.1-27.9 50.3-46 72.8L45.5 3.4C38.5-2 28.5-.8 23 6.2L3.4 31.4c-5.4 7-4.2 17 2.8 22.4l588.4 454.7c7 5.4 17 4.2 22.5-2.8l19.6-25.3c5.4-6.8 4.1-16.9-2.9-22.3z\"]\n};\nvar faPhoneSquare = {\n prefix: 'fas',\n iconName: 'phone-square',\n icon: [448, 512, [], \"f098\", \"M400 32H48C21.49 32 0 53.49 0 80v352c0 26.51 21.49 48 48 48h352c26.51 0 48-21.49 48-48V80c0-26.51-21.49-48-48-48zM94 416c-7.033 0-13.057-4.873-14.616-11.627l-14.998-65a15 15 0 0 1 8.707-17.16l69.998-29.999a15 15 0 0 1 17.518 4.289l30.997 37.885c48.944-22.963 88.297-62.858 110.781-110.78l-37.886-30.997a15.001 15.001 0 0 1-4.289-17.518l30-69.998a15 15 0 0 1 17.16-8.707l65 14.998A14.997 14.997 0 0 1 384 126c0 160.292-129.945 290-290 290z\"]\n};\nvar faPhoneSquareAlt = {\n prefix: 'fas',\n iconName: 'phone-square-alt',\n icon: [448, 512, [], \"f87b\", \"M400 32H48A48 48 0 0 0 0 80v352a48 48 0 0 0 48 48h352a48 48 0 0 0 48-48V80a48 48 0 0 0-48-48zm-16.39 307.37l-15 65A15 15 0 0 1 354 416C194 416 64 286.29 64 126a15.7 15.7 0 0 1 11.63-14.61l65-15A18.23 18.23 0 0 1 144 96a16.27 16.27 0 0 1 13.79 9.09l30 70A17.9 17.9 0 0 1 189 181a17 17 0 0 1-5.5 11.61l-37.89 31a231.91 231.91 0 0 0 110.78 110.78l31-37.89A17 17 0 0 1 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faSatelliteDish = {\n prefix: 'fas',\n iconName: 'satellite-dish',\n icon: [512, 512, [], \"f7c0\", 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1-34.189 3.377c-7.27-1.046-13.8 4.514-13.8 11.859z\"]\n};\nvar faShekelSign = {\n prefix: 'fas',\n iconName: 'shekel-sign',\n icon: [448, 512, [], \"f20b\", \"M248 168v168c0 8.84 7.16 16 16 16h48c8.84 0 16-7.16 16-16V168c0-75.11-60.89-136-136-136H24C10.75 32 0 42.74 0 56v408c0 8.84 7.16 16 16 16h48c8.84 0 16-7.16 16-16V112h112c30.93 0 56 25.07 56 56zM432 32h-48c-8.84 0-16 7.16-16 16v296c0 30.93-25.07 56-56 56H200V176c0-8.84-7.16-16-16-16h-48c-8.84 0-16 7.16-16 16v280c0 13.25 10.75 24 24 24h168c75.11 0 136-60.89 136-136V48c0-8.84-7.16-16-16-16z\"]\n};\nvar faShieldAlt = {\n prefix: 'fas',\n iconName: 'shield-alt',\n icon: [512, 512, [], \"f3ed\", \"M466.5 83.7l-192-80a48.15 48.15 0 0 0-36.9 0l-192 80C27.7 91.1 16 108.6 16 128c0 198.5 114.5 335.7 221.5 380.3 11.8 4.9 25.1 4.9 36.9 0C360.1 472.6 496 349.3 496 128c0-19.4-11.7-36.9-29.5-44.3zM256.1 446.3l-.1-381 175.9 73.3c-3.3 151.4-82.1 261.1-175.8 307.7z\"]\n};\nvar faShieldVirus = {\n prefix: 'fas',\n iconName: 'shield-virus',\n icon: [512, 512, [], \"f96c\", \"M224,192a16,16,0,1,0,16,16A16,16,0,0,0,224,192ZM466.5,83.68l-192-80A57.4,57.4,0,0,0,256.05,0a57.4,57.4,0,0,0-18.46,3.67l-192,80A47.93,47.93,0,0,0,16,128C16,326.5,130.5,463.72,237.5,508.32a48.09,48.09,0,0,0,36.91,0C360.09,472.61,496,349.3,496,128A48,48,0,0,0,466.5,83.68ZM384,256H371.88c-28.51,0-42.79,34.47-22.63,54.63l8.58,8.57a16,16,0,1,1-22.63,22.63l-8.57-8.58C306.47,313.09,272,327.37,272,355.88V368a16,16,0,0,1-32,0V355.88c0-28.51-34.47-42.79-54.63-22.63l-8.57,8.58a16,16,0,0,1-22.63-22.63l8.58-8.57c20.16-20.16,5.88-54.63-22.63-54.63H128a16,16,0,0,1,0-32h12.12c28.51,0,42.79-34.47,22.63-54.63l-8.58-8.57a16,16,0,0,1,22.63-22.63l8.57,8.58c20.16,20.16,54.63,5.88,54.63-22.63V112a16,16,0,0,1,32,0v12.12c0,28.51,34.47,42.79,54.63,22.63l8.57-8.58a16,16,0,0,1,22.63,22.63l-8.58,8.57C329.09,189.53,343.37,224,371.88,224H384a16,16,0,0,1,0,32Zm-96,0a16,16,0,1,0,16,16A16,16,0,0,0,288,256Z\"]\n};\nvar faShip = {\n prefix: 'fas',\n iconName: 'ship',\n icon: [640, 512, [], \"f21a\", \"M496.616 372.639l70.012-70.012c16.899-16.9 9.942-45.771-12.836-53.092L512 236.102V96c0-17.673-14.327-32-32-32h-64V24c0-13.255-10.745-24-24-24H248c-13.255 0-24 10.745-24 24v40h-64c-17.673 0-32 14.327-32 32v140.102l-41.792 13.433c-22.753 7.313-29.754 36.173-12.836 53.092l70.012 70.012C125.828 416.287 85.587 448 24 448c-13.255 0-24 10.745-24 24v16c0 13.255 10.745 24 24 24 61.023 0 107.499-20.61 143.258-59.396C181.677 487.432 216.021 512 256 512h128c39.979 0 74.323-24.568 88.742-59.396C508.495 491.384 554.968 512 616 512c13.255 0 24-10.745 24-24v-16c0-13.255-10.745-24-24-24-60.817 0-101.542-31.001-119.384-75.361zM192 128h256v87.531l-118.208-37.995a31.995 31.995 0 0 0-19.584 0L192 215.531V128z\"]\n};\nvar faShippingFast = {\n prefix: 'fas',\n iconName: 'shipping-fast',\n icon: [640, 512, [], \"f48b\", \"M624 352h-16V243.9c0-12.7-5.1-24.9-14.1-33.9L494 110.1c-9-9-21.2-14.1-33.9-14.1H416V48c0-26.5-21.5-48-48-48H112C85.5 0 64 21.5 64 48v48H8c-4.4 0-8 3.6-8 8v16c0 4.4 3.6 8 8 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faShuttleVan = {\n prefix: 'fas',\n iconName: 'shuttle-van',\n icon: [640, 512, [], \"f5b6\", \"M628.88 210.65L494.39 49.27A48.01 48.01 0 0 0 457.52 32H32C14.33 32 0 46.33 0 64v288c0 17.67 14.33 32 32 32h32c0 53.02 42.98 96 96 96s96-42.98 96-96h128c0 53.02 42.98 96 96 96s96-42.98 96-96h32c17.67 0 32-14.33 32-32V241.38c0-11.23-3.94-22.1-11.12-30.73zM64 192V96h96v96H64zm96 240c-26.51 0-48-21.49-48-48s21.49-48 48-48 48 21.49 48 48-21.49 48-48 48zm160-240h-96V96h96v96zm160 240c-26.51 0-48-21.49-48-48s21.49-48 48-48 48 21.49 48 48-21.49 48-48 48zm-96-240V96h66.02l80 96H384z\"]\n};\nvar faSign = {\n prefix: 'fas',\n iconName: 'sign',\n icon: [512, 512, [], \"f4d9\", \"M496 64H128V16c0-8.8-7.2-16-16-16H80c-8.8 0-16 7.2-16 16v48H16C7.2 64 0 71.2 0 80v32c0 8.8 7.2 16 16 16h48v368c0 8.8 7.2 16 16 16h32c8.8 0 16-7.2 16-16V128h368c8.8 0 16-7.2 16-16V80c0-8.8-7.2-16-16-16zM160 384h320V160H160v224z\"]\n};\nvar faSignInAlt = {\n prefix: 'fas',\n iconName: 'sign-in-alt',\n icon: [512, 512, [], \"f2f6\", \"M416 448h-84c-6.6 0-12-5.4-12-12v-40c0-6.6 5.4-12 12-12h84c17.7 0 32-14.3 32-32V160c0-17.7-14.3-32-32-32h-84c-6.6 0-12-5.4-12-12V76c0-6.6 5.4-12 12-12h84c53 0 96 43 96 96v192c0 53-43 96-96 96zm-47-201L201 79c-15-15-41-4.5-41 17v96H24c-13.3 0-24 10.7-24 24v96c0 13.3 10.7 24 24 24h136v96c0 21.5 26 32 41 17l168-168c9.3-9.4 9.3-24.6 0-34z\"]\n};\nvar faSignLanguage = {\n prefix: 'fas',\n iconName: 'sign-language',\n icon: [448, 512, [], \"f2a7\", \"M91.434 483.987c-.307-16.018 13.109-29.129 29.13-29.129h62.293v-5.714H56.993c-16.021 0-29.437-13.111-29.13-29.129C28.16 404.491 40.835 392 56.428 392h126.429v-5.714H29.136c-16.021 0-29.437-13.111-29.13-29.129.297-15.522 12.973-28.013 28.566-28.013h154.286v-5.714H57.707c-16.021 0-29.437-13.111-29.13-29.129.297-15.522 12.973-28.013 28.566-28.013h168.566l-31.085-22.606c-12.762-9.281-15.583-27.149-6.302-39.912 9.281-12.761 27.15-15.582 39.912-6.302l123.361 89.715a34.287 34.287 0 0 1 14.12 27.728v141.136c0 15.91-10.946 29.73-26.433 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\"f2f5\", \"M497 273L329 441c-15 15-41 4.5-41-17v-96H152c-13.3 0-24-10.7-24-24v-96c0-13.3 10.7-24 24-24h136V88c0-21.4 25.9-32 41-17l168 168c9.3 9.4 9.3 24.6 0 34zM192 436v-40c0-6.6-5.4-12-12-12H96c-17.7 0-32-14.3-32-32V160c0-17.7 14.3-32 32-32h84c6.6 0 12-5.4 12-12V76c0-6.6-5.4-12-12-12H96c-53 0-96 43-96 96v192c0 53 43 96 96 96h84c6.6 0 12-5.4 12-12z\"]\n};\nvar faSignal = {\n prefix: 'fas',\n iconName: 'signal',\n icon: [640, 512, [], \"f012\", \"M216 288h-48c-8.84 0-16 7.16-16 16v192c0 8.84 7.16 16 16 16h48c8.84 0 16-7.16 16-16V304c0-8.84-7.16-16-16-16zM88 384H40c-8.84 0-16 7.16-16 16v96c0 8.84 7.16 16 16 16h48c8.84 0 16-7.16 16-16v-96c0-8.84-7.16-16-16-16zm256-192h-48c-8.84 0-16 7.16-16 16v288c0 8.84 7.16 16 16 16h48c8.84 0 16-7.16 16-16V208c0-8.84-7.16-16-16-16zm128-96h-48c-8.84 0-16 7.16-16 16v384c0 8.84 7.16 16 16 16h48c8.84 0 16-7.16 16-16V112c0-8.84-7.16-16-16-16zM600 0h-48c-8.84 0-16 7.16-16 16v480c0 8.84 7.16 16 16 16h48c8.84 0 16-7.16 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13.25 10.75 24 24 24h43.62l88.88 163.73C168.99 503.5 186.3 512 204.94 512c17.27 0 44.44-9 54.28-41.48L357.03 96H552c13.25 0 24-10.75 24-24V24c0-13.26-10.75-24-24-24z\"]\n};\nvar faStamp = {\n prefix: 'fas',\n iconName: 'stamp',\n icon: [512, 512, [], \"f5bf\", \"M32 512h448v-64H32v64zm384-256h-66.56c-16.26 0-29.44-13.18-29.44-29.44v-9.46c0-27.37 8.88-53.41 21.46-77.72 9.11-17.61 12.9-38.39 9.05-60.42-6.77-38.78-38.47-70.7-77.26-77.45C212.62-9.04 160 37.33 160 96c0 14.16 3.12 27.54 8.69 39.58C182.02 164.43 192 194.7 192 226.49v.07c0 16.26-13.18 29.44-29.44 29.44H96c-53.02 0-96 42.98-96 96v32c0 17.67 14.33 32 32 32h448c17.67 0 32-14.33 32-32v-32c0-53.02-42.98-96-96-96z\"]\n};\nvar faStar = {\n prefix: 'fas',\n iconName: 'star',\n icon: [576, 512, [], \"f005\", \"M259.3 17.8L194 150.2 47.9 171.5c-26.2 3.8-36.7 36.1-17.7 54.6l105.7 103-25 145.5c-4.5 26.3 23.2 46 46.4 33.7L288 439.6l130.7 68.7c23.2 12.2 50.9-7.4 46.4-33.7l-25-145.5 105.7-103c19-18.5 8.5-50.8-17.7-54.6L382 150.2 316.7 17.8c-11.7-23.6-45.6-23.9-57.4 0z\"]\n};\nvar faStarAndCrescent = {\n prefix: 'fas',\n iconName: 'star-and-crescent',\n icon: [512, 512, [], \"f699\", \"M340.47 466.36c-1.45 0-6.89.46-9.18.46-116.25 0-210.82-94.57-210.82-210.82S215.04 45.18 331.29 45.18c2.32 0 7.7.46 9.18.46 7.13 0 13.33-5.03 14.75-12.07 1.46-7.25-2.55-14.49-9.47-17.09C316.58 5.54 286.39 0 256 0 114.84 0 0 114.84 0 256s114.84 256 256 256c30.23 0 60.28-5.49 89.32-16.32 5.96-2.02 10.28-7.64 10.28-14.26 0-8.09-6.39-15.06-15.13-15.06zm162.99-252.5l-76.38-11.1-34.16-69.21c-1.83-3.7-5.38-5.55-8.93-5.55s-7.1 1.85-8.93 5.55l-34.16 69.21-76.38 11.1c-8.17 1.18-11.43 11.22-5.52 16.99l55.27 53.87-13.05 76.07c-1.11 6.44 4.01 11.66 9.81 11.66 1.53 0 3.11-.36 4.64-1.17L384 335.37l68.31 35.91c1.53.8 3.11 1.17 4.64 1.17 5.8 0 10.92-5.23 9.81-11.66l-13.05-76.07 55.27-53.87c5.91-5.77 2.65-15.81-5.52-16.99z\"]\n};\nvar faStarHalf = {\n prefix: 'fas',\n iconName: 'star-half',\n icon: [576, 512, [], \"f089\", \"M288 0c-11.4 0-22.8 5.9-28.7 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21.86l32.02 55.43c4.42 7.65 14.21 10.27 21.87 5.86l135.93-78.43V496c0 8.84 7.17 16 16.01 16h64.04c8.84 0 16.01-7.16 16.01-16V339.14l135.93 78.43c7.66 4.42 17.45 1.8 21.87-5.86l32.02-55.43c4.42-7.65 1.8-17.43-5.86-21.85z\"]\n};\nvar faStepBackward = {\n prefix: 'fas',\n iconName: 'step-backward',\n icon: [448, 512, [], \"f048\", \"M64 468V44c0-6.6 5.4-12 12-12h48c6.6 0 12 5.4 12 12v176.4l195.5-181C352.1 22.3 384 36.6 384 64v384c0 27.4-31.9 41.7-52.5 24.6L136 292.7V468c0 6.6-5.4 12-12 12H76c-6.6 0-12-5.4-12-12z\"]\n};\nvar faStepForward = {\n prefix: 'fas',\n iconName: 'step-forward',\n icon: [448, 512, [], \"f051\", \"M384 44v424c0 6.6-5.4 12-12 12h-48c-6.6 0-12-5.4-12-12V291.6l-195.5 181C95.9 489.7 64 475.4 64 448V64c0-27.4 31.9-41.7 52.5-24.6L312 219.3V44c0-6.6 5.4-12 12-12h48c6.6 0 12 5.4 12 12z\"]\n};\nvar faStethoscope = {\n prefix: 'fas',\n iconName: 'stethoscope',\n icon: [512, 512, [], \"f0f1\", \"M447.1 112c-34.2.5-62.3 28.4-63 62.6-.5 24.3 12.5 45.6 32 56.8V344c0 57.3-50.2 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faStore = {\n prefix: 'fas',\n iconName: 'store',\n icon: [616, 512, [], \"f54e\", \"M602 118.6L537.1 15C531.3 5.7 521 0 510 0H106C95 0 84.7 5.7 78.9 15L14 118.6c-33.5 53.5-3.8 127.9 58.8 136.4 4.5.6 9.1.9 13.7.9 29.6 0 55.8-13 73.8-33.1 18 20.1 44.3 33.1 73.8 33.1 29.6 0 55.8-13 73.8-33.1 18 20.1 44.3 33.1 73.8 33.1 29.6 0 55.8-13 73.8-33.1 18.1 20.1 44.3 33.1 73.8 33.1 4.7 0 9.2-.3 13.7-.9 62.8-8.4 92.6-82.8 59-136.4zM529.5 288c-10 0-19.9-1.5-29.5-3.8V384H116v-99.8c-9.6 2.2-19.5 3.8-29.5 3.8-6 0-12.1-.4-18-1.2-5.6-.8-11.1-2.1-16.4-3.6V480c0 17.7 14.3 32 32 32h448c17.7 0 32-14.3 32-32V283.2c-5.4 1.6-10.8 2.9-16.4 3.6-6.1.8-12.1 1.2-18.2 1.2z\"]\n};\nvar faStoreAlt = {\n prefix: 'fas',\n iconName: 'store-alt',\n icon: [640, 512, [], \"f54f\", \"M320 384H128V224H64v256c0 17.7 14.3 32 32 32h256c17.7 0 32-14.3 32-32V224h-64v160zm314.6-241.8l-85.3-128c-6-8.9-16-14.2-26.7-14.2H117.4c-10.7 0-20.7 5.3-26.6 14.2l-85.3 128c-14.2 21.3 1 49.8 26.6 49.8H608c25.5 0 40.7-28.5 26.6-49.8zM512 496c0 8.8 7.2 16 16 16h32c8.8 0 16-7.2 16-16V224h-64v272z\"]\n};\nvar faStoreAltSlash = {\n prefix: 'fas',\n iconName: 'store-alt-slash',\n icon: [640, 512, [], \"f970\", \"M17.89,123.62,5.51,142.2c-14.2,21.3,1,49.8,26.59,49.8h74.26ZM576,413.42V224H512V364L384,265V224H330.92l-41.4-32H608c25.5,0,40.7-28.5,26.59-49.8l-85.29-128A32.18,32.18,0,0,0,522.6,0H117.42A31.87,31.87,0,0,0,90.81,14.2l-10.66,16L45.46,3.38A16,16,0,0,0,23,6.19L3.37,31.46A16,16,0,0,0,6.18,53.91L594.53,508.63A16,16,0,0,0,617,505.81l19.64-25.26a16,16,0,0,0-2.81-22.45ZM320,384H128V224H64V480a32,32,0,0,0,32,32H352a32,32,0,0,0,32-32V406.59l-64-49.47Z\"]\n};\nvar faStoreSlash = {\n prefix: 'fas',\n iconName: 'store-slash',\n icon: [640, 512, [], \"f971\", 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{\n prefix: 'fas',\n iconName: 'trademark',\n icon: [640, 512, [], \"f25c\", \"M260.6 96H12c-6.6 0-12 5.4-12 12v43.1c0 6.6 5.4 12 12 12h85.1V404c0 6.6 5.4 12 12 12h54.3c6.6 0 12-5.4 12-12V163.1h85.1c6.6 0 12-5.4 12-12V108c.1-6.6-5.3-12-11.9-12zM640 403l-24-296c-.5-6.2-5.7-11-12-11h-65.4c-5.1 0-9.7 3.3-11.3 8.1l-43.8 127.1c-7.2 20.6-16.1 52.8-16.1 52.8h-.9s-8.9-32.2-16.1-52.8l-43.8-127.1c-1.7-4.8-6.2-8.1-11.3-8.1h-65.4c-6.2 0-11.4 4.8-12 11l-24.4 296c-.6 7 4.9 13 12 13H360c6.3 0 11.5-4.9 12-11.2l9.1-132.9c1.8-24.2 0-53.7 0-53.7h.9s10.7 33.6 17.9 53.7l30.7 84.7c1.7 4.7 6.2 7.9 11.3 7.9h50.3c5.1 0 9.6-3.2 11.3-7.9l30.7-84.7c7.2-20.1 17.9-53.7 17.9-53.7h.9s-1.8 29.5 0 53.7l9.1 132.9c.4 6.3 5.7 11.2 12 11.2H628c7 0 12.5-6 12-13z\"]\n};\nvar faTrafficLight = {\n prefix: 'fas',\n iconName: 'traffic-light',\n icon: [384, 512, [], \"f637\", \"M384 192h-64v-37.88c37.2-13.22 64-48.38 64-90.12h-64V32c0-17.67-14.33-32-32-32H96C78.33 0 64 14.33 64 32v32H0c0 41.74 26.8 76.9 64 90.12V192H0c0 41.74 26.8 76.9 64 90.12V320H0c0 42.84 28.25 78.69 66.99 91.05C79.42 468.72 130.6 512 192 512s112.58-43.28 125.01-100.95C355.75 398.69 384 362.84 384 320h-64v-37.88c37.2-13.22 64-48.38 64-90.12zM192 416c-26.51 0-48-21.49-48-48s21.49-48 48-48 48 21.49 48 48-21.49 48-48 48zm0-128c-26.51 0-48-21.49-48-48s21.49-48 48-48 48 21.49 48 48-21.49 48-48 48zm0-128c-26.51 0-48-21.49-48-48s21.49-48 48-48 48 21.49 48 48-21.49 48-48 48z\"]\n};\nvar faTrailer = {\n prefix: 'fas',\n iconName: 'trailer',\n icon: [640, 512, [], \"f941\", \"M624,320H544V80a16,16,0,0,0-16-16H16A16,16,0,0,0,0,80V368a16,16,0,0,0,16,16H65.61c7.83-54.21,54-96,110.39-96s102.56,41.79,110.39,96H624a16,16,0,0,0,16-16V336A16,16,0,0,0,624,320ZM96,243.68a176.29,176.29,0,0,0-32,20.71V136a8,8,0,0,1,8-8H88a8,8,0,0,1,8,8Zm96-18.54c-5.31-.49-10.57-1.14-16-1.14s-10.69.65-16,1.14V136a8,8,0,0,1,8-8h16a8,8,0,0,1,8,8Zm96,39.25a176.29,176.29,0,0,0-32-20.71V136a8,8,0,0,1,8-8h16a8,8,0,0,1,8,8ZM384,320H352V136a8,8,0,0,1,8-8h16a8,8,0,0,1,8,8Zm96,0H448V136a8,8,0,0,1,8-8h16a8,8,0,0,1,8,8Zm-304,0a80,80,0,1,0,80,80A80,80,0,0,0,176,320Zm0,112a32,32,0,1,1,32-32A32,32,0,0,1,176,432Z\"]\n};\nvar faTrain = {\n prefix: 'fas',\n iconName: 'train',\n icon: [448, 512, [], \"f238\", \"M448 96v256c0 51.815-61.624 96-130.022 96l62.98 49.721C386.905 502.417 383.562 512 376 512H72c-7.578 0-10.892-9.594-4.957-14.279L130.022 448C61.82 448 0 403.954 0 352V96C0 42.981 64 0 128 0h192c65 0 128 42.981 128 96zm-48 136V120c0-13.255-10.745-24-24-24H72c-13.255 0-24 10.745-24 24v112c0 13.255 10.745 24 24 24h304c13.255 0 24-10.745 24-24zm-176 64c-30.928 0-56 25.072-56 56s25.072 56 56 56 56-25.072 56-56-25.072-56-56-56z\"]\n};\nvar faTram = {\n prefix: 'fas',\n iconName: 'tram',\n icon: [512, 512, [], \"f7da\", \"M288 64c17.7 0 32-14.3 32-32S305.7 0 288 0s-32 14.3-32 32 14.3 32 32 32zm223.5-12.1c-2.3-8.6-11-13.6-19.6-11.3l-480 128c-8.5 2.3-13.6 11-11.3 19.6C2.5 195.3 8.9 200 16 200c1.4 0 2.8-.2 4.1-.5L240 140.8V224H64c-17.7 0-32 14.3-32 32v224c0 17.7 14.3 32 32 32h384c17.7 0 32-14.3 32-32V256c0-17.7-14.3-32-32-32H272v-91.7l228.1-60.8c8.6-2.3 13.6-11.1 11.4-19.6zM176 384H80v-96h96v96zm160-96h96v96h-96v-96zm-32 0v96h-96v-96h96zM192 96c17.7 0 32-14.3 32-32s-14.3-32-32-32-32 14.3-32 32 14.3 32 32 32z\"]\n};\nvar faTransgender = {\n prefix: 'fas',\n iconName: 'transgender',\n icon: [384, 512, [], \"f224\", \"M372 0h-79c-10.7 0-16 12.9-8.5 20.5l16.9 16.9-80.7 80.7C198.5 104.1 172.2 96 144 96 64.5 96 0 160.5 0 240c0 68.5 47.9 125.9 112 140.4V408H76c-6.6 0-12 5.4-12 12v40c0 6.6 5.4 12 12 12h36v28c0 6.6 5.4 12 12 12h40c6.6 0 12-5.4 12-12v-28h36c6.6 0 12-5.4 12-12v-40c0-6.6-5.4-12-12-12h-36v-27.6c64.1-14.6 112-71.9 112-140.4 0-28.2-8.1-54.5-22.1-76.7l80.7-80.7 16.9 16.9c7.6 7.6 20.5 2.2 20.5-8.5V12c0-6.6-5.4-12-12-12zM144 320c-44.1 0-80-35.9-80-80s35.9-80 80-80 80 35.9 80 80-35.9 80-80 80z\"]\n};\nvar faTransgenderAlt = {\n prefix: 'fas',\n iconName: 'transgender-alt',\n icon: [480, 512, [], \"f225\", \"M468 0h-79c-10.7 0-16 12.9-8.5 20.5l16.9 16.9-80.7 80.7C294.5 104.1 268.2 96 240 96c-28.2 0-54.5 8.1-76.7 22.1l-16.5-16.5 19.8-19.8c4.7-4.7 4.7-12.3 0-17l-28.3-28.3c-4.7-4.7-12.3-4.7-17 0l-19.8 19.8-19-19 16.9-16.9C107.1 12.9 101.7 0 91 0H12C5.4 0 0 5.4 0 12v79c0 10.7 12.9 16 20.5 8.5l16.9-16.9 19 19-19.8 19.8c-4.7 4.7-4.7 12.3 0 17l28.3 28.3c4.7 4.7 12.3 4.7 17 0l19.8-19.8 16.5 16.5C104.1 185.5 96 211.8 96 240c0 68.5 47.9 125.9 112 140.4V408h-36c-6.6 0-12 5.4-12 12v40c0 6.6 5.4 12 12 12h36v28c0 6.6 5.4 12 12 12h40c6.6 0 12-5.4 12-12v-28h36c6.6 0 12-5.4 12-12v-40c0-6.6-5.4-12-12-12h-36v-27.6c64.1-14.6 112-71.9 112-140.4 0-28.2-8.1-54.5-22.1-76.7l80.7-80.7 16.9 16.9c7.6 7.6 20.5 2.2 20.5-8.5V12c0-6.6-5.4-12-12-12zM240 320c-44.1 0-80-35.9-80-80s35.9-80 80-80 80 35.9 80 80-35.9 80-80 80z\"]\n};\nvar faTrash = {\n prefix: 'fas',\n iconName: 'trash',\n icon: [448, 512, [], \"f1f8\", \"M432 32H312l-9.4-18.7A24 24 0 0 0 281.1 0H166.8a23.72 23.72 0 0 0-21.4 13.3L136 32H16A16 16 0 0 0 0 48v32a16 16 0 0 0 16 16h416a16 16 0 0 0 16-16V48a16 16 0 0 0-16-16zM53.2 467a48 48 0 0 0 47.9 45h245.8a48 48 0 0 0 47.9-45L416 128H32z\"]\n};\nvar faTrashAlt = {\n prefix: 'fas',\n iconName: 'trash-alt',\n icon: [448, 512, [], \"f2ed\", \"M32 464a48 48 0 0 0 48 48h288a48 48 0 0 0 48-48V128H32zm272-256a16 16 0 0 1 32 0v224a16 16 0 0 1-32 0zm-96 0a16 16 0 0 1 32 0v224a16 16 0 0 1-32 0zm-96 0a16 16 0 0 1 32 0v224a16 16 0 0 1-32 0zM432 32H312l-9.4-18.7A24 24 0 0 0 281.1 0H166.8a23.72 23.72 0 0 0-21.4 13.3L136 32H16A16 16 0 0 0 0 48v32a16 16 0 0 0 16 16h416a16 16 0 0 0 16-16V48a16 16 0 0 0-16-16z\"]\n};\nvar faTrashRestore = {\n prefix: 'fas',\n iconName: 'trash-restore',\n icon: [448, 512, [], \"f829\", \"M53.2 467a48 48 0 0 0 47.9 45h245.8a48 48 0 0 0 47.9-45L416 128H32zm70.11-175.8l89.38-94.26a15.41 15.41 0 0 1 22.62 0l89.38 94.26c10.08 10.62 2.94 28.8-11.32 28.8H256v112a16 16 0 0 1-16 16h-32a16 16 0 0 1-16-16V320h-57.37c-14.26 0-21.4-18.18-11.32-28.8zM432 32H312l-9.4-18.7A24 24 0 0 0 281.1 0H166.8a23.72 23.72 0 0 0-21.4 13.3L136 32H16A16 16 0 0 0 0 48v32a16 16 0 0 0 16 16h416a16 16 0 0 0 16-16V48a16 16 0 0 0-16-16z\"]\n};\nvar faTrashRestoreAlt = {\n prefix: 'fas',\n iconName: 'trash-restore-alt',\n icon: [448, 512, [], \"f82a\", \"M32 464a48 48 0 0 0 48 48h288a48 48 0 0 0 48-48V128H32zm91.31-172.8l89.38-94.26a15.41 15.41 0 0 1 22.62 0l89.38 94.26c10.08 10.62 2.94 28.8-11.32 28.8H256v112a16 16 0 0 1-16 16h-32a16 16 0 0 1-16-16V320h-57.37c-14.26 0-21.4-18.18-11.32-28.8zM432 32H312l-9.4-18.7A24 24 0 0 0 281.1 0H166.8a23.72 23.72 0 0 0-21.4 13.3L136 32H16A16 16 0 0 0 0 48v32a16 16 0 0 0 16 16h416a16 16 0 0 0 16-16V48a16 16 0 0 0-16-16z\"]\n};\nvar faTree = {\n prefix: 'fas',\n iconName: 'tree',\n icon: [384, 512, [], \"f1bb\", \"M378.31 378.49L298.42 288h30.63c9.01 0 16.98-5 20.78-13.06 3.8-8.04 2.55-17.26-3.28-24.05L268.42 160h28.89c9.1 0 17.3-5.35 20.86-13.61 3.52-8.13 1.86-17.59-4.24-24.08L203.66 4.83c-6.03-6.45-17.28-6.45-23.32 0L70.06 122.31c-6.1 6.49-7.75 15.95-4.24 24.08C69.38 154.65 77.59 160 86.69 160h28.89l-78.14 90.91c-5.81 6.78-7.06 15.99-3.27 24.04C37.97 283 45.93 288 54.95 288h30.63L5.69 378.49c-6 6.79-7.36 16.09-3.56 24.26 3.75 8.05 12 13.25 21.01 13.25H160v24.45l-30.29 48.4c-5.32 10.64 2.42 23.16 14.31 23.16h95.96c11.89 0 19.63-12.52 14.31-23.16L224 440.45V416h136.86c9.01 0 17.26-5.2 21.01-13.25 3.8-8.17 2.44-17.47-3.56-24.26z\"]\n};\nvar faTrophy = {\n prefix: 'fas',\n iconName: 'trophy',\n icon: [576, 512, [], \"f091\", \"M552 64H448V24c0-13.3-10.7-24-24-24H152c-13.3 0-24 10.7-24 24v40H24C10.7 64 0 74.7 0 88v56c0 35.7 22.5 72.4 61.9 100.7 31.5 22.7 69.8 37.1 110 41.7C203.3 338.5 240 360 240 360v72h-48c-35.3 0-64 20.7-64 56v12c0 6.6 5.4 12 12 12h296c6.6 0 12-5.4 12-12v-12c0-35.3-28.7-56-64-56h-48v-72s36.7-21.5 68.1-73.6c40.3-4.6 78.6-19 110-41.7 39.3-28.3 61.9-65 61.9-100.7V88c0-13.3-10.7-24-24-24zM99.3 192.8C74.9 175.2 64 155.6 64 144v-16h64.2c1 32.6 5.8 61.2 12.8 86.2-15.1-5.2-29.2-12.4-41.7-21.4zM512 144c0 16.1-17.7 36.1-35.3 48.8-12.5 9-26.7 16.2-41.8 21.4 7-25 11.8-53.6 12.8-86.2H512v16z\"]\n};\nvar faTruck = {\n prefix: 'fas',\n iconName: 'truck',\n icon: [640, 512, [], \"f0d1\", \"M624 352h-16V243.9c0-12.7-5.1-24.9-14.1-33.9L494 110.1c-9-9-21.2-14.1-33.9-14.1H416V48c0-26.5-21.5-48-48-48H48C21.5 0 0 21.5 0 48v320c0 26.5 21.5 48 48 48h16c0 53 43 96 96 96s96-43 96-96h128c0 53 43 96 96 96s96-43 96-96h48c8.8 0 16-7.2 16-16v-32c0-8.8-7.2-16-16-16zM160 464c-26.5 0-48-21.5-48-48s21.5-48 48-48 48 21.5 48 48-21.5 48-48 48zm320 0c-26.5 0-48-21.5-48-48s21.5-48 48-48 48 21.5 48 48-21.5 48-48 48zm80-208H416V144h44.1l99.9 99.9V256z\"]\n};\nvar faTruckLoading = {\n prefix: 'fas',\n iconName: 'truck-loading',\n icon: [640, 512, [], \"f4de\", \"M50.2 375.6c2.3 8.5 11.1 13.6 19.6 11.3l216.4-58c8.5-2.3 13.6-11.1 11.3-19.6l-49.7-185.5c-2.3-8.5-11.1-13.6-19.6-11.3L151 133.3l24.8 92.7-61.8 16.5-24.8-92.7-77.3 20.7C3.4 172.8-1.7 181.6.6 190.1l49.6 185.5zM384 0c-17.7 0-32 14.3-32 32v323.6L5.9 450c-4.3 1.2-6.8 5.6-5.6 9.8l12.6 46.3c1.2 4.3 5.6 6.8 9.8 5.6l393.7-107.4C418.8 464.1 467.6 512 528 512c61.9 0 112-50.1 112-112V0H384zm144 448c-26.5 0-48-21.5-48-48s21.5-48 48-48 48 21.5 48 48-21.5 48-48 48z\"]\n};\nvar faTruckMonster = {\n prefix: 'fas',\n iconName: 'truck-monster',\n icon: [640, 512, [], \"f63b\", \"M624 224h-16v-64c0-17.67-14.33-32-32-32h-73.6L419.22 24.02A64.025 64.025 0 0 0 369.24 0H256c-17.67 0-32 14.33-32 32v96H48c-8.84 0-16 7.16-16 16v80H16c-8.84 0-16 7.16-16 16v32c0 8.84 7.16 16 16 16h16.72c29.21-38.65 75.1-64 127.28-64s98.07 25.35 127.28 64h65.45c29.21-38.65 75.1-64 127.28-64s98.07 25.35 127.28 64H624c8.84 0 16-7.16 16-16v-32c0-8.84-7.16-16-16-16zm-336-96V64h81.24l51.2 64H288zm304 224h-5.2c-2.2-7.33-5.07-14.28-8.65-20.89l3.67-3.67c6.25-6.25 6.25-16.38 0-22.63l-22.63-22.63c-6.25-6.25-16.38-6.25-22.63 0l-3.67 3.67A110.85 110.85 0 0 0 512 277.2V272c0-8.84-7.16-16-16-16h-32c-8.84 0-16 7.16-16 16v5.2c-7.33 2.2-14.28 5.07-20.89 8.65l-3.67-3.67c-6.25-6.25-16.38-6.25-22.63 0l-22.63 22.63c-6.25 6.25-6.25 16.38 0 22.63l3.67 3.67A110.85 110.85 0 0 0 373.2 352H368c-8.84 0-16 7.16-16 16v32c0 8.84 7.16 16 16 16h5.2c2.2 7.33 5.07 14.28 8.65 20.89l-3.67 3.67c-6.25 6.25-6.25 16.38 0 22.63l22.63 22.63c6.25 6.25 16.38 6.25 22.63 0l3.67-3.67c6.61 3.57 13.57 6.45 20.9 8.65v5.2c0 8.84 7.16 16 16 16h32c8.84 0 16-7.16 16-16v-5.2c7.33-2.2 14.28-5.07 20.9-8.65l3.67 3.67c6.25 6.25 16.38 6.25 22.63 0l22.63-22.63c6.25-6.25 6.25-16.38 0-22.63l-3.67-3.67a110.85 110.85 0 0 0 8.65-20.89h5.2c8.84 0 16-7.16 16-16v-32c-.02-8.84-7.18-16-16.02-16zm-112 80c-26.51 0-48-21.49-48-48s21.49-48 48-48 48 21.49 48 48-21.49 48-48 48zm-208-80h-5.2c-2.2-7.33-5.07-14.28-8.65-20.89l3.67-3.67c6.25-6.25 6.25-16.38 0-22.63l-22.63-22.63c-6.25-6.25-16.38-6.25-22.63 0l-3.67 3.67A110.85 110.85 0 0 0 192 277.2V272c0-8.84-7.16-16-16-16h-32c-8.84 0-16 7.16-16 16v5.2c-7.33 2.2-14.28 5.07-20.89 8.65l-3.67-3.67c-6.25-6.25-16.38-6.25-22.63 0L58.18 304.8c-6.25 6.25-6.25 16.38 0 22.63l3.67 3.67a110.85 110.85 0 0 0-8.65 20.89H48c-8.84 0-16 7.16-16 16v32c0 8.84 7.16 16 16 16h5.2c2.2 7.33 5.07 14.28 8.65 20.89l-3.67 3.67c-6.25 6.25-6.25 16.38 0 22.63l22.63 22.63c6.25 6.25 16.38 6.25 22.63 0l3.67-3.67c6.61 3.57 13.57 6.45 20.9 8.65v5.2c0 8.84 7.16 16 16 16h32c8.84 0 16-7.16 16-16v-5.2c7.33-2.2 14.28-5.07 20.9-8.65l3.67 3.67c6.25 6.25 16.38 6.25 22.63 0l22.63-22.63c6.25-6.25 6.25-16.38 0-22.63l-3.67-3.67a110.85 110.85 0 0 0 8.65-20.89h5.2c8.84 0 16-7.16 16-16v-32C288 359.16 280.84 352 272 352zm-112 80c-26.51 0-48-21.49-48-48s21.49-48 48-48 48 21.49 48 48-21.49 48-48 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iconName: 'video',\n icon: [576, 512, [], \"f03d\", \"M336.2 64H47.8C21.4 64 0 85.4 0 111.8v288.4C0 426.6 21.4 448 47.8 448h288.4c26.4 0 47.8-21.4 47.8-47.8V111.8c0-26.4-21.4-47.8-47.8-47.8zm189.4 37.7L416 177.3v157.4l109.6 75.5c21.2 14.6 50.4-.3 50.4-25.8V127.5c0-25.4-29.1-40.4-50.4-25.8z\"]\n};\nvar faVideoSlash = {\n prefix: 'fas',\n iconName: 'video-slash',\n icon: [640, 512, [], \"f4e2\", \"M633.8 458.1l-55-42.5c15.4-1.4 29.2-13.7 29.2-31.1v-257c0-25.5-29.1-40.4-50.4-25.8L448 177.3v137.2l-32-24.7v-178c0-26.4-21.4-47.8-47.8-47.8H123.9L45.5 3.4C38.5-2 28.5-.8 23 6.2L3.4 31.4c-5.4 7-4.2 17 2.8 22.4L42.7 82 416 370.6l178.5 138c7 5.4 17 4.2 22.5-2.8l19.6-25.3c5.5-6.9 4.2-17-2.8-22.4zM32 400.2c0 26.4 21.4 47.8 47.8 47.8h288.4c11.2 0 21.4-4 29.6-10.5L32 154.7v245.5z\"]\n};\nvar faVihara = {\n prefix: 'fas',\n iconName: 'vihara',\n icon: [640, 512, [], \"f6a7\", \"M632.88 400.71L544 352v-64l55.16-17.69c11.79-5.9 11.79-22.72 0-28.62L480 192v-64l27.31-16.3c7.72-7.72 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\"M483.55,227.55H462c-50.68,0-76.07-61.27-40.23-97.11L437,115.19A28.44,28.44,0,0,0,396.8,75L381.56,90.22c-35.84,35.83-97.11,10.45-97.11-40.23V28.44a28.45,28.45,0,0,0-56.9,0V50c0,50.68-61.27,76.06-97.11,40.23L115.2,75A28.44,28.44,0,0,0,75,115.19l15.25,15.25c35.84,35.84,10.45,97.11-40.23,97.11H28.45a28.45,28.45,0,1,0,0,56.89H50c50.68,0,76.07,61.28,40.23,97.12L75,396.8A28.45,28.45,0,0,0,115.2,437l15.24-15.25c35.84-35.84,97.11-10.45,97.11,40.23v21.54a28.45,28.45,0,0,0,56.9,0V462c0-50.68,61.27-76.07,97.11-40.23L396.8,437A28.45,28.45,0,0,0,437,396.8l-15.25-15.24c-35.84-35.84-10.45-97.12,40.23-97.12h21.54a28.45,28.45,0,1,0,0-56.89ZM224,272a48,48,0,1,1,48-48A48,48,0,0,1,224,272Zm80,56a24,24,0,1,1,24-24A24,24,0,0,1,304,328Z\"]\n};\nvar faVirusSlash = {\n prefix: 'fas',\n iconName: 'virus-slash',\n icon: [640, 512, [], \"f975\", \"M114,227.56H92.44a28.44,28.44,0,0,0,0,56.88H114c50.68,0,76.06,61.28,40.23,97.12L139,396.81A28.44,28.44,0,1,0,179.19,437l15.25-15.25c35.84-35.84,97.11-10.45,97.11,40.23v21.54a28.45,28.45,0,0,0,56.9,0V462c0-26.61,17-45.91,38.22-53.37l-244.5-189A55.58,55.58,0,0,1,114,227.56ZM633.82,458.09,470.62,332c4.17-25.39,24.91-47.52,55.39-47.52h21.55a28.44,28.44,0,1,0,0-56.88H526c-50.68,0-76.06-61.28-40.23-97.12L501,115.19A28.44,28.44,0,0,0,460.81,75L445.56,90.22c-35.84,35.84-97.11,10.46-97.11-40.23V28.45a28.45,28.45,0,0,0-56.9,0V50c0,50.69-61.27,76.07-97.11,40.23L179.19,75A28.43,28.43,0,0,0,139,75c-.13.14-.15.32-.28.46L45.46,3.38A16,16,0,0,0,23,6.19L3.37,31.45A16,16,0,0,0,6.18,53.91L594.54,508.63A16,16,0,0,0,617,505.81l19.64-25.26A16,16,0,0,0,633.82,458.09ZM335.43,227.48l-62.87-48.59A46.55,46.55,0,0,1,288,176a48,48,0,0,1,48,48C336,225.22,335.52,226.29,335.43,227.48Z\"]\n};\nvar faViruses = {\n prefix: 'fas',\n iconName: 'viruses',\n icon: [640, 512, [], \"f976\", 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faVoicemail = {\n prefix: 'fas',\n iconName: 'voicemail',\n icon: [640, 512, [], \"f897\", \"M496 128a144 144 0 0 0-119.74 224H263.74A144 144 0 1 0 144 416h352a144 144 0 0 0 0-288zM64 272a80 80 0 1 1 80 80 80 80 0 0 1-80-80zm432 80a80 80 0 1 1 80-80 80 80 0 0 1-80 80z\"]\n};\nvar faVolleyballBall = {\n prefix: 'fas',\n iconName: 'volleyball-ball',\n icon: [512, 512, [], \"f45f\", \"M231.39 243.48a285.56 285.56 0 0 0-22.7-105.7c-90.8 42.4-157.5 122.4-180.3 216.8a249 249 0 0 0 56.9 81.1 333.87 333.87 0 0 1 146.1-192.2zm-36.9-134.4a284.23 284.23 0 0 0-57.4-70.7c-91 49.8-144.8 152.9-125 262.2 33.4-83.1 98.4-152 182.4-191.5zm187.6 165.1c8.6-99.8-27.3-197.5-97.5-264.4-14.7-1.7-51.6-5.5-98.9 8.5A333.87 333.87 0 0 1 279.19 241a285 285 0 0 0 102.9 33.18zm-124.7 9.5a286.33 286.33 0 0 0-80.2 72.6c82 57.3 184.5 75.1 277.5 47.8a247.15 247.15 0 0 0 42.2-89.9 336.1 336.1 0 0 1-80.9 10.4c-54.6-.1-108.9-14.1-158.6-40.9zm-98.3 99.7c-15.2 26-25.7 54.4-32.1 84.2a247.07 247.07 0 0 0 289-22.1c-112.9 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'yin-yang',\n icon: [496, 512, [], \"f6ad\", \"M248 8C111.03 8 0 119.03 0 256s111.03 248 248 248 248-111.03 248-248S384.97 8 248 8zm0 376c-17.67 0-32-14.33-32-32s14.33-32 32-32 32 14.33 32 32-14.33 32-32 32zm0-128c-53.02 0-96 42.98-96 96s42.98 96 96 96c-106.04 0-192-85.96-192-192S141.96 64 248 64c53.02 0 96 42.98 96 96s-42.98 96-96 96zm0-128c-17.67 0-32 14.33-32 32s14.33 32 32 32 32-14.33 32-32-14.33-32-32-32z\"]\n};\nvar _iconsCache = {\n faAd: faAd,\n faAddressBook: faAddressBook,\n faAddressCard: faAddressCard,\n faAdjust: faAdjust,\n faAirFreshener: faAirFreshener,\n faAlignCenter: faAlignCenter,\n faAlignJustify: faAlignJustify,\n faAlignLeft: faAlignLeft,\n faAlignRight: faAlignRight,\n faAllergies: faAllergies,\n faAmbulance: faAmbulance,\n faAmericanSignLanguageInterpreting: faAmericanSignLanguageInterpreting,\n faAnchor: faAnchor,\n faAngleDoubleDown: faAngleDoubleDown,\n faAngleDoubleLeft: faAngleDoubleLeft,\n faAngleDoubleRight: faAngleDoubleRight,\n faAngleDoubleUp: faAngleDoubleUp,\n faAngleDown: faAngleDown,\n faAngleLeft: faAngleLeft,\n faAngleRight: faAngleRight,\n faAngleUp: faAngleUp,\n faAngry: faAngry,\n faAnkh: faAnkh,\n faAppleAlt: faAppleAlt,\n faArchive: faArchive,\n faArchway: faArchway,\n faArrowAltCircleDown: faArrowAltCircleDown,\n faArrowAltCircleLeft: faArrowAltCircleLeft,\n faArrowAltCircleRight: faArrowAltCircleRight,\n faArrowAltCircleUp: faArrowAltCircleUp,\n faArrowCircleDown: faArrowCircleDown,\n faArrowCircleLeft: faArrowCircleLeft,\n faArrowCircleRight: faArrowCircleRight,\n faArrowCircleUp: faArrowCircleUp,\n faArrowDown: faArrowDown,\n faArrowLeft: faArrowLeft,\n faArrowRight: faArrowRight,\n faArrowUp: faArrowUp,\n faArrowsAlt: faArrowsAlt,\n faArrowsAltH: faArrowsAltH,\n faArrowsAltV: faArrowsAltV,\n faAssistiveListeningSystems: faAssistiveListeningSystems,\n faAsterisk: faAsterisk,\n faAt: faAt,\n faAtlas: faAtlas,\n faAtom: faAtom,\n faAudioDescription: faAudioDescription,\n faAward: faAward,\n faBaby: faBaby,\n faBabyCarriage: faBabyCarriage,\n faBackspace: faBackspace,\n faBackward: faBackward,\n faBacon: faBacon,\n faBahai: faBahai,\n faBalanceScale: faBalanceScale,\n faBalanceScaleLeft: faBalanceScaleLeft,\n faBalanceScaleRight: faBalanceScaleRight,\n faBan: faBan,\n faBandAid: faBandAid,\n faBarcode: faBarcode,\n faBars: faBars,\n faBaseballBall: faBaseballBall,\n faBasketballBall: faBasketballBall,\n faBath: faBath,\n faBatteryEmpty: faBatteryEmpty,\n faBatteryFull: faBatteryFull,\n faBatteryHalf: faBatteryHalf,\n faBatteryQuarter: faBatteryQuarter,\n faBatteryThreeQuarters: faBatteryThreeQuarters,\n faBed: faBed,\n faBeer: faBeer,\n faBell: faBell,\n faBellSlash: faBellSlash,\n faBezierCurve: faBezierCurve,\n faBible: faBible,\n faBicycle: faBicycle,\n faBiking: faBiking,\n faBinoculars: faBinoculars,\n faBiohazard: faBiohazard,\n faBirthdayCake: faBirthdayCake,\n faBlender: faBlender,\n faBlenderPhone: faBlenderPhone,\n faBlind: faBlind,\n faBlog: faBlog,\n faBold: faBold,\n faBolt: faBolt,\n faBomb: faBomb,\n faBone: faBone,\n faBong: faBong,\n faBook: faBook,\n faBookDead: faBookDead,\n faBookMedical: faBookMedical,\n faBookOpen: faBookOpen,\n faBookReader: faBookReader,\n faBookmark: faBookmark,\n faBorderAll: faBorderAll,\n faBorderNone: faBorderNone,\n faBorderStyle: faBorderStyle,\n faBowlingBall: faBowlingBall,\n faBox: faBox,\n faBoxOpen: faBoxOpen,\n faBoxTissue: faBoxTissue,\n faBoxes: faBoxes,\n faBraille: faBraille,\n faBrain: faBrain,\n faBreadSlice: faBreadSlice,\n faBriefcase: faBriefcase,\n faBriefcaseMedical: faBriefcaseMedical,\n faBroadcastTower: faBroadcastTower,\n faBroom: faBroom,\n faBrush: faBrush,\n faBug: faBug,\n faBuilding: faBuilding,\n faBullhorn: faBullhorn,\n faBullseye: faBullseye,\n faBurn: faBurn,\n faBus: faBus,\n faBusAlt: faBusAlt,\n faBusinessTime: faBusinessTime,\n faCalculator: faCalculator,\n faCalendar: faCalendar,\n faCalendarAlt: faCalendarAlt,\n faCalendarCheck: faCalendarCheck,\n faCalendarDay: faCalendarDay,\n faCalendarMinus: faCalendarMinus,\n faCalendarPlus: faCalendarPlus,\n faCalendarTimes: faCalendarTimes,\n faCalendarWeek: faCalendarWeek,\n faCamera: faCamera,\n faCameraRetro: faCameraRetro,\n faCampground: faCampground,\n faCandyCane: faCandyCane,\n faCannabis: faCannabis,\n faCapsules: faCapsules,\n faCar: faCar,\n faCarAlt: faCarAlt,\n faCarBattery: faCarBattery,\n faCarCrash: faCarCrash,\n faCarSide: faCarSide,\n faCaravan: faCaravan,\n faCaretDown: faCaretDown,\n faCaretLeft: faCaretLeft,\n faCaretRight: faCaretRight,\n faCaretSquareDown: faCaretSquareDown,\n faCaretSquareLeft: faCaretSquareLeft,\n faCaretSquareRight: faCaretSquareRight,\n faCaretSquareUp: faCaretSquareUp,\n faCaretUp: faCaretUp,\n faCarrot: faCarrot,\n faCartArrowDown: faCartArrowDown,\n faCartPlus: faCartPlus,\n faCashRegister: faCashRegister,\n faCat: faCat,\n faCertificate: faCertificate,\n faChair: faChair,\n faChalkboard: faChalkboard,\n faChalkboardTeacher: faChalkboardTeacher,\n faChargingStation: faChargingStation,\n faChartArea: faChartArea,\n faChartBar: faChartBar,\n faChartLine: faChartLine,\n faChartPie: faChartPie,\n faCheck: faCheck,\n faCheckCircle: faCheckCircle,\n faCheckDouble: faCheckDouble,\n faCheckSquare: faCheckSquare,\n faCheese: faCheese,\n faChess: faChess,\n faChessBishop: faChessBishop,\n faChessBoard: faChessBoard,\n faChessKing: faChessKing,\n faChessKnight: faChessKnight,\n faChessPawn: faChessPawn,\n faChessQueen: faChessQueen,\n faChessRook: faChessRook,\n faChevronCircleDown: faChevronCircleDown,\n faChevronCircleLeft: faChevronCircleLeft,\n faChevronCircleRight: faChevronCircleRight,\n faChevronCircleUp: faChevronCircleUp,\n faChevronDown: faChevronDown,\n faChevronLeft: faChevronLeft,\n faChevronRight: faChevronRight,\n faChevronUp: faChevronUp,\n faChild: faChild,\n faChurch: faChurch,\n faCircle: faCircle,\n faCircleNotch: faCircleNotch,\n faCity: faCity,\n faClinicMedical: faClinicMedical,\n faClipboard: faClipboard,\n faClipboardCheck: faClipboardCheck,\n faClipboardList: faClipboardList,\n faClock: faClock,\n faClone: faClone,\n faClosedCaptioning: faClosedCaptioning,\n faCloud: faCloud,\n faCloudDownloadAlt: faCloudDownloadAlt,\n faCloudMeatball: faCloudMeatball,\n faCloudMoon: faCloudMoon,\n faCloudMoonRain: faCloudMoonRain,\n faCloudRain: faCloudRain,\n faCloudShowersHeavy: faCloudShowersHeavy,\n faCloudSun: faCloudSun,\n faCloudSunRain: faCloudSunRain,\n faCloudUploadAlt: faCloudUploadAlt,\n faCocktail: faCocktail,\n faCode: faCode,\n faCodeBranch: faCodeBranch,\n faCoffee: faCoffee,\n faCog: faCog,\n faCogs: faCogs,\n faCoins: faCoins,\n faColumns: faColumns,\n faComment: faComment,\n faCommentAlt: faCommentAlt,\n faCommentDollar: faCommentDollar,\n faCommentDots: faCommentDots,\n faCommentMedical: faCommentMedical,\n faCommentSlash: faCommentSlash,\n faComments: faComments,\n faCommentsDollar: faCommentsDollar,\n faCompactDisc: faCompactDisc,\n faCompass: faCompass,\n faCompress: faCompress,\n faCompressAlt: faCompressAlt,\n faCompressArrowsAlt: faCompressArrowsAlt,\n faConciergeBell: faConciergeBell,\n faCookie: faCookie,\n faCookieBite: faCookieBite,\n faCopy: faCopy,\n faCopyright: faCopyright,\n faCouch: faCouch,\n faCreditCard: faCreditCard,\n faCrop: faCrop,\n faCropAlt: faCropAlt,\n faCross: faCross,\n faCrosshairs: faCrosshairs,\n faCrow: faCrow,\n faCrown: faCrown,\n faCrutch: faCrutch,\n faCube: faCube,\n faCubes: faCubes,\n faCut: faCut,\n faDatabase: faDatabase,\n faDeaf: faDeaf,\n faDemocrat: faDemocrat,\n faDesktop: faDesktop,\n faDharmachakra: faDharmachakra,\n faDiagnoses: faDiagnoses,\n faDice: faDice,\n faDiceD20: faDiceD20,\n faDiceD6: faDiceD6,\n faDiceFive: faDiceFive,\n faDiceFour: faDiceFour,\n faDiceOne: faDiceOne,\n faDiceSix: faDiceSix,\n faDiceThree: faDiceThree,\n faDiceTwo: faDiceTwo,\n faDigitalTachograph: faDigitalTachograph,\n faDirections: faDirections,\n faDisease: faDisease,\n faDivide: faDivide,\n faDizzy: faDizzy,\n faDna: faDna,\n faDog: faDog,\n faDollarSign: faDollarSign,\n faDolly: faDolly,\n faDollyFlatbed: faDollyFlatbed,\n faDonate: faDonate,\n faDoorClosed: faDoorClosed,\n faDoorOpen: faDoorOpen,\n faDotCircle: faDotCircle,\n faDove: faDove,\n faDownload: faDownload,\n faDraftingCompass: faDraftingCompass,\n faDragon: faDragon,\n faDrawPolygon: faDrawPolygon,\n faDrum: faDrum,\n faDrumSteelpan: faDrumSteelpan,\n faDrumstickBite: faDrumstickBite,\n faDumbbell: faDumbbell,\n faDumpster: faDumpster,\n faDumpsterFire: faDumpsterFire,\n faDungeon: faDungeon,\n faEdit: faEdit,\n faEgg: faEgg,\n faEject: faEject,\n faEllipsisH: faEllipsisH,\n faEllipsisV: faEllipsisV,\n faEnvelope: faEnvelope,\n faEnvelopeOpen: faEnvelopeOpen,\n faEnvelopeOpenText: faEnvelopeOpenText,\n faEnvelopeSquare: faEnvelopeSquare,\n faEquals: faEquals,\n faEraser: faEraser,\n faEthernet: faEthernet,\n faEuroSign: faEuroSign,\n faExchangeAlt: faExchangeAlt,\n faExclamation: faExclamation,\n faExclamationCircle: faExclamationCircle,\n faExclamationTriangle: faExclamationTriangle,\n faExpand: faExpand,\n faExpandAlt: faExpandAlt,\n faExpandArrowsAlt: faExpandArrowsAlt,\n faExternalLinkAlt: faExternalLinkAlt,\n faExternalLinkSquareAlt: faExternalLinkSquareAlt,\n faEye: faEye,\n faEyeDropper: faEyeDropper,\n faEyeSlash: faEyeSlash,\n faFan: faFan,\n faFastBackward: faFastBackward,\n faFastForward: faFastForward,\n faFaucet: faFaucet,\n faFax: faFax,\n faFeather: faFeather,\n faFeatherAlt: faFeatherAlt,\n faFemale: faFemale,\n faFighterJet: faFighterJet,\n faFile: faFile,\n faFileAlt: faFileAlt,\n faFileArchive: faFileArchive,\n faFileAudio: faFileAudio,\n faFileCode: faFileCode,\n faFileContract: faFileContract,\n faFileCsv: faFileCsv,\n faFileDownload: faFileDownload,\n faFileExcel: faFileExcel,\n faFileExport: faFileExport,\n faFileImage: faFileImage,\n faFileImport: faFileImport,\n faFileInvoice: faFileInvoice,\n faFileInvoiceDollar: faFileInvoiceDollar,\n faFileMedical: faFileMedical,\n faFileMedicalAlt: faFileMedicalAlt,\n faFilePdf: faFilePdf,\n faFilePowerpoint: faFilePowerpoint,\n faFilePrescription: faFilePrescription,\n faFileSignature: faFileSignature,\n faFileUpload: faFileUpload,\n faFileVideo: faFileVideo,\n faFileWord: faFileWord,\n faFill: faFill,\n faFillDrip: faFillDrip,\n faFilm: faFilm,\n faFilter: faFilter,\n faFingerprint: faFingerprint,\n faFire: faFire,\n faFireAlt: faFireAlt,\n faFireExtinguisher: faFireExtinguisher,\n faFirstAid: faFirstAid,\n faFish: faFish,\n faFistRaised: faFistRaised,\n faFlag: faFlag,\n faFlagCheckered: faFlagCheckered,\n faFlagUsa: faFlagUsa,\n faFlask: faFlask,\n faFlushed: faFlushed,\n faFolder: faFolder,\n faFolderMinus: faFolderMinus,\n faFolderOpen: faFolderOpen,\n faFolderPlus: faFolderPlus,\n faFont: faFont,\n faFontAwesomeLogoFull: faFontAwesomeLogoFull,\n faFootballBall: faFootballBall,\n faForward: faForward,\n faFrog: faFrog,\n faFrown: faFrown,\n faFrownOpen: faFrownOpen,\n faFunnelDollar: faFunnelDollar,\n faFutbol: faFutbol,\n faGamepad: faGamepad,\n faGasPump: faGasPump,\n faGavel: faGavel,\n faGem: faGem,\n faGenderless: faGenderless,\n faGhost: faGhost,\n faGift: faGift,\n faGifts: faGifts,\n faGlassCheers: faGlassCheers,\n faGlassMartini: faGlassMartini,\n faGlassMartiniAlt: faGlassMartiniAlt,\n faGlassWhiskey: faGlassWhiskey,\n faGlasses: faGlasses,\n faGlobe: faGlobe,\n faGlobeAfrica: faGlobeAfrica,\n faGlobeAmericas: faGlobeAmericas,\n faGlobeAsia: faGlobeAsia,\n faGlobeEurope: faGlobeEurope,\n faGolfBall: faGolfBall,\n faGopuram: faGopuram,\n faGraduationCap: faGraduationCap,\n faGreaterThan: faGreaterThan,\n faGreaterThanEqual: faGreaterThanEqual,\n faGrimace: faGrimace,\n faGrin: faGrin,\n faGrinAlt: faGrinAlt,\n faGrinBeam: faGrinBeam,\n faGrinBeamSweat: faGrinBeamSweat,\n faGrinHearts: faGrinHearts,\n faGrinSquint: faGrinSquint,\n faGrinSquintTears: faGrinSquintTears,\n faGrinStars: faGrinStars,\n faGrinTears: faGrinTears,\n faGrinTongue: faGrinTongue,\n faGrinTongueSquint: faGrinTongueSquint,\n faGrinTongueWink: faGrinTongueWink,\n faGrinWink: faGrinWink,\n faGripHorizontal: faGripHorizontal,\n faGripLines: faGripLines,\n faGripLinesVertical: faGripLinesVertical,\n faGripVertical: faGripVertical,\n faGuitar: faGuitar,\n faHSquare: faHSquare,\n faHamburger: faHamburger,\n faHammer: faHammer,\n faHamsa: faHamsa,\n faHandHolding: faHandHolding,\n faHandHoldingHeart: faHandHoldingHeart,\n faHandHoldingMedical: faHandHoldingMedical,\n faHandHoldingUsd: faHandHoldingUsd,\n faHandHoldingWater: faHandHoldingWater,\n faHandLizard: faHandLizard,\n faHandMiddleFinger: faHandMiddleFinger,\n faHandPaper: faHandPaper,\n faHandPeace: faHandPeace,\n faHandPointDown: faHandPointDown,\n faHandPointLeft: faHandPointLeft,\n faHandPointRight: faHandPointRight,\n faHandPointUp: faHandPointUp,\n faHandPointer: faHandPointer,\n faHandRock: faHandRock,\n faHandScissors: faHandScissors,\n faHandSparkles: faHandSparkles,\n faHandSpock: faHandSpock,\n faHands: faHands,\n faHandsHelping: faHandsHelping,\n faHandsWash: faHandsWash,\n faHandshake: faHandshake,\n faHandshakeAltSlash: faHandshakeAltSlash,\n faHandshakeSlash: faHandshakeSlash,\n faHanukiah: faHanukiah,\n faHardHat: faHardHat,\n faHashtag: faHashtag,\n faHatCowboy: faHatCowboy,\n faHatCowboySide: faHatCowboySide,\n faHatWizard: faHatWizard,\n faHdd: faHdd,\n faHeadSideCough: faHeadSideCough,\n faHeadSideCoughSlash: faHeadSideCoughSlash,\n faHeadSideMask: faHeadSideMask,\n faHeadSideVirus: faHeadSideVirus,\n faHeading: faHeading,\n faHeadphones: faHeadphones,\n faHeadphonesAlt: faHeadphonesAlt,\n faHeadset: faHeadset,\n faHeart: faHeart,\n faHeartBroken: faHeartBroken,\n faHeartbeat: faHeartbeat,\n faHelicopter: faHelicopter,\n faHighlighter: faHighlighter,\n faHiking: faHiking,\n faHippo: faHippo,\n faHistory: faHistory,\n faHockeyPuck: faHockeyPuck,\n faHollyBerry: faHollyBerry,\n faHome: faHome,\n faHorse: faHorse,\n faHorseHead: faHorseHead,\n faHospital: faHospital,\n faHospitalAlt: faHospitalAlt,\n faHospitalSymbol: faHospitalSymbol,\n faHospitalUser: faHospitalUser,\n faHotTub: faHotTub,\n faHotdog: faHotdog,\n faHotel: faHotel,\n faHourglass: faHourglass,\n faHourglassEnd: faHourglassEnd,\n faHourglassHalf: faHourglassHalf,\n faHourglassStart: faHourglassStart,\n faHouseDamage: faHouseDamage,\n faHouseUser: faHouseUser,\n faHryvnia: faHryvnia,\n faICursor: faICursor,\n faIceCream: faIceCream,\n faIcicles: faIcicles,\n faIcons: faIcons,\n faIdBadge: faIdBadge,\n faIdCard: faIdCard,\n faIdCardAlt: faIdCardAlt,\n faIgloo: faIgloo,\n faImage: faImage,\n faImages: faImages,\n faInbox: faInbox,\n faIndent: faIndent,\n faIndustry: faIndustry,\n faInfinity: faInfinity,\n faInfo: faInfo,\n faInfoCircle: faInfoCircle,\n faItalic: faItalic,\n faJedi: faJedi,\n faJoint: faJoint,\n faJournalWhills: faJournalWhills,\n faKaaba: faKaaba,\n faKey: faKey,\n faKeyboard: faKeyboard,\n faKhanda: faKhanda,\n faKiss: faKiss,\n faKissBeam: faKissBeam,\n faKissWinkHeart: faKissWinkHeart,\n faKiwiBird: faKiwiBird,\n faLandmark: faLandmark,\n faLanguage: faLanguage,\n faLaptop: faLaptop,\n faLaptopCode: faLaptopCode,\n faLaptopHouse: faLaptopHouse,\n faLaptopMedical: faLaptopMedical,\n faLaugh: faLaugh,\n faLaughBeam: faLaughBeam,\n faLaughSquint: faLaughSquint,\n faLaughWink: faLaughWink,\n faLayerGroup: faLayerGroup,\n faLeaf: faLeaf,\n faLemon: faLemon,\n faLessThan: faLessThan,\n faLessThanEqual: faLessThanEqual,\n faLevelDownAlt: faLevelDownAlt,\n faLevelUpAlt: faLevelUpAlt,\n faLifeRing: faLifeRing,\n faLightbulb: faLightbulb,\n faLink: faLink,\n faLiraSign: faLiraSign,\n faList: faList,\n faListAlt: faListAlt,\n faListOl: faListOl,\n faListUl: faListUl,\n faLocationArrow: faLocationArrow,\n faLock: faLock,\n faLockOpen: faLockOpen,\n faLongArrowAltDown: faLongArrowAltDown,\n faLongArrowAltLeft: faLongArrowAltLeft,\n faLongArrowAltRight: faLongArrowAltRight,\n faLongArrowAltUp: faLongArrowAltUp,\n faLowVision: faLowVision,\n faLuggageCart: faLuggageCart,\n faLungs: faLungs,\n faLungsVirus: faLungsVirus,\n faMagic: faMagic,\n faMagnet: faMagnet,\n faMailBulk: faMailBulk,\n faMale: faMale,\n faMap: faMap,\n faMapMarked: faMapMarked,\n faMapMarkedAlt: faMapMarkedAlt,\n faMapMarker: faMapMarker,\n faMapMarkerAlt: faMapMarkerAlt,\n faMapPin: faMapPin,\n faMapSigns: faMapSigns,\n faMarker: faMarker,\n faMars: faMars,\n faMarsDouble: faMarsDouble,\n faMarsStroke: faMarsStroke,\n faMarsStrokeH: faMarsStrokeH,\n faMarsStrokeV: faMarsStrokeV,\n faMask: faMask,\n faMedal: faMedal,\n faMedkit: faMedkit,\n faMeh: faMeh,\n faMehBlank: faMehBlank,\n faMehRollingEyes: faMehRollingEyes,\n faMemory: faMemory,\n faMenorah: faMenorah,\n faMercury: faMercury,\n faMeteor: faMeteor,\n faMicrochip: faMicrochip,\n faMicrophone: faMicrophone,\n faMicrophoneAlt: faMicrophoneAlt,\n faMicrophoneAltSlash: faMicrophoneAltSlash,\n faMicrophoneSlash: faMicrophoneSlash,\n faMicroscope: faMicroscope,\n faMinus: faMinus,\n faMinusCircle: faMinusCircle,\n faMinusSquare: faMinusSquare,\n faMitten: faMitten,\n faMobile: faMobile,\n faMobileAlt: faMobileAlt,\n faMoneyBill: faMoneyBill,\n faMoneyBillAlt: faMoneyBillAlt,\n faMoneyBillWave: faMoneyBillWave,\n faMoneyBillWaveAlt: faMoneyBillWaveAlt,\n faMoneyCheck: faMoneyCheck,\n faMoneyCheckAlt: faMoneyCheckAlt,\n faMonument: faMonument,\n faMoon: faMoon,\n faMortarPestle: faMortarPestle,\n faMosque: faMosque,\n faMotorcycle: faMotorcycle,\n faMountain: faMountain,\n faMouse: faMouse,\n faMousePointer: faMousePointer,\n faMugHot: faMugHot,\n faMusic: faMusic,\n faNetworkWired: faNetworkWired,\n faNeuter: faNeuter,\n faNewspaper: faNewspaper,\n faNotEqual: faNotEqual,\n faNotesMedical: faNotesMedical,\n faObjectGroup: faObjectGroup,\n faObjectUngroup: faObjectUngroup,\n faOilCan: faOilCan,\n faOm: faOm,\n faOtter: faOtter,\n faOutdent: faOutdent,\n faPager: faPager,\n faPaintBrush: faPaintBrush,\n faPaintRoller: faPaintRoller,\n faPalette: faPalette,\n faPallet: faPallet,\n faPaperPlane: faPaperPlane,\n faPaperclip: faPaperclip,\n faParachuteBox: faParachuteBox,\n faParagraph: faParagraph,\n faParking: faParking,\n faPassport: faPassport,\n faPastafarianism: faPastafarianism,\n faPaste: faPaste,\n faPause: faPause,\n faPauseCircle: faPauseCircle,\n faPaw: faPaw,\n faPeace: faPeace,\n faPen: faPen,\n faPenAlt: faPenAlt,\n faPenFancy: faPenFancy,\n faPenNib: faPenNib,\n faPenSquare: faPenSquare,\n faPencilAlt: faPencilAlt,\n faPencilRuler: faPencilRuler,\n faPeopleArrows: faPeopleArrows,\n faPeopleCarry: faPeopleCarry,\n faPepperHot: faPepperHot,\n faPercent: faPercent,\n faPercentage: faPercentage,\n faPersonBooth: faPersonBooth,\n faPhone: faPhone,\n faPhoneAlt: faPhoneAlt,\n faPhoneSlash: faPhoneSlash,\n faPhoneSquare: faPhoneSquare,\n faPhoneSquareAlt: faPhoneSquareAlt,\n faPhoneVolume: faPhoneVolume,\n faPhotoVideo: faPhotoVideo,\n faPiggyBank: faPiggyBank,\n faPills: faPills,\n faPizzaSlice: faPizzaSlice,\n faPlaceOfWorship: faPlaceOfWorship,\n faPlane: faPlane,\n faPlaneArrival: faPlaneArrival,\n faPlaneDeparture: faPlaneDeparture,\n faPlaneSlash: faPlaneSlash,\n faPlay: faPlay,\n faPlayCircle: faPlayCircle,\n faPlug: faPlug,\n faPlus: faPlus,\n faPlusCircle: faPlusCircle,\n faPlusSquare: faPlusSquare,\n faPodcast: faPodcast,\n faPoll: faPoll,\n faPollH: faPollH,\n faPoo: faPoo,\n faPooStorm: faPooStorm,\n faPoop: faPoop,\n faPortrait: faPortrait,\n faPoundSign: faPoundSign,\n faPowerOff: faPowerOff,\n faPray: faPray,\n faPrayingHands: faPrayingHands,\n faPrescription: faPrescription,\n faPrescriptionBottle: faPrescriptionBottle,\n faPrescriptionBottleAlt: faPrescriptionBottleAlt,\n faPrint: faPrint,\n faProcedures: faProcedures,\n faProjectDiagram: faProjectDiagram,\n faPumpMedical: faPumpMedical,\n faPumpSoap: faPumpSoap,\n faPuzzlePiece: faPuzzlePiece,\n faQrcode: faQrcode,\n faQuestion: faQuestion,\n faQuestionCircle: faQuestionCircle,\n faQuidditch: faQuidditch,\n faQuoteLeft: faQuoteLeft,\n faQuoteRight: faQuoteRight,\n faQuran: faQuran,\n faRadiation: faRadiation,\n faRadiationAlt: faRadiationAlt,\n faRainbow: faRainbow,\n faRandom: faRandom,\n faReceipt: faReceipt,\n faRecordVinyl: faRecordVinyl,\n faRecycle: faRecycle,\n faRedo: faRedo,\n faRedoAlt: faRedoAlt,\n faRegistered: faRegistered,\n faRemoveFormat: faRemoveFormat,\n faReply: faReply,\n faReplyAll: faReplyAll,\n faRepublican: faRepublican,\n faRestroom: faRestroom,\n faRetweet: faRetweet,\n faRibbon: faRibbon,\n faRing: faRing,\n faRoad: faRoad,\n faRobot: faRobot,\n faRocket: faRocket,\n faRoute: faRoute,\n faRss: faRss,\n faRssSquare: faRssSquare,\n faRubleSign: faRubleSign,\n faRuler: faRuler,\n faRulerCombined: faRulerCombined,\n faRulerHorizontal: faRulerHorizontal,\n faRulerVertical: faRulerVertical,\n faRunning: faRunning,\n faRupeeSign: faRupeeSign,\n faSadCry: faSadCry,\n faSadTear: faSadTear,\n faSatellite: faSatellite,\n faSatelliteDish: faSatelliteDish,\n faSave: faSave,\n faSchool: faSchool,\n faScrewdriver: faScrewdriver,\n faScroll: faScroll,\n faSdCard: faSdCard,\n faSearch: faSearch,\n faSearchDollar: faSearchDollar,\n faSearchLocation: faSearchLocation,\n faSearchMinus: faSearchMinus,\n faSearchPlus: faSearchPlus,\n faSeedling: faSeedling,\n faServer: faServer,\n faShapes: faShapes,\n faShare: faShare,\n faShareAlt: faShareAlt,\n faShareAltSquare: faShareAltSquare,\n faShareSquare: faShareSquare,\n faShekelSign: faShekelSign,\n faShieldAlt: faShieldAlt,\n faShieldVirus: faShieldVirus,\n faShip: faShip,\n faShippingFast: faShippingFast,\n faShoePrints: faShoePrints,\n faShoppingBag: faShoppingBag,\n faShoppingBasket: faShoppingBasket,\n faShoppingCart: faShoppingCart,\n faShower: faShower,\n faShuttleVan: faShuttleVan,\n faSign: faSign,\n faSignInAlt: faSignInAlt,\n faSignLanguage: faSignLanguage,\n faSignOutAlt: faSignOutAlt,\n faSignal: faSignal,\n faSignature: faSignature,\n faSimCard: faSimCard,\n faSitemap: faSitemap,\n faSkating: faSkating,\n faSkiing: faSkiing,\n faSkiingNordic: faSkiingNordic,\n faSkull: faSkull,\n faSkullCrossbones: faSkullCrossbones,\n faSlash: faSlash,\n faSleigh: faSleigh,\n faSlidersH: faSlidersH,\n faSmile: faSmile,\n faSmileBeam: faSmileBeam,\n faSmileWink: faSmileWink,\n faSmog: faSmog,\n faSmoking: faSmoking,\n faSmokingBan: faSmokingBan,\n faSms: faSms,\n faSnowboarding: faSnowboarding,\n faSnowflake: faSnowflake,\n faSnowman: faSnowman,\n faSnowplow: faSnowplow,\n faSoap: faSoap,\n faSocks: faSocks,\n faSolarPanel: faSolarPanel,\n faSort: faSort,\n faSortAlphaDown: faSortAlphaDown,\n faSortAlphaDownAlt: faSortAlphaDownAlt,\n faSortAlphaUp: faSortAlphaUp,\n faSortAlphaUpAlt: faSortAlphaUpAlt,\n faSortAmountDown: faSortAmountDown,\n faSortAmountDownAlt: faSortAmountDownAlt,\n faSortAmountUp: faSortAmountUp,\n faSortAmountUpAlt: faSortAmountUpAlt,\n faSortDown: faSortDown,\n faSortNumericDown: faSortNumericDown,\n faSortNumericDownAlt: faSortNumericDownAlt,\n faSortNumericUp: faSortNumericUp,\n faSortNumericUpAlt: faSortNumericUpAlt,\n faSortUp: faSortUp,\n faSpa: faSpa,\n faSpaceShuttle: faSpaceShuttle,\n faSpellCheck: faSpellCheck,\n faSpider: faSpider,\n faSpinner: faSpinner,\n faSplotch: faSplotch,\n faSprayCan: faSprayCan,\n faSquare: faSquare,\n faSquareFull: faSquareFull,\n faSquareRootAlt: faSquareRootAlt,\n faStamp: faStamp,\n faStar: faStar,\n faStarAndCrescent: faStarAndCrescent,\n faStarHalf: faStarHalf,\n faStarHalfAlt: faStarHalfAlt,\n faStarOfDavid: faStarOfDavid,\n faStarOfLife: faStarOfLife,\n faStepBackward: faStepBackward,\n faStepForward: faStepForward,\n faStethoscope: faStethoscope,\n faStickyNote: faStickyNote,\n faStop: faStop,\n faStopCircle: faStopCircle,\n faStopwatch: faStopwatch,\n faStopwatch20: faStopwatch20,\n faStore: faStore,\n faStoreAlt: faStoreAlt,\n faStoreAltSlash: faStoreAltSlash,\n faStoreSlash: faStoreSlash,\n faStream: faStream,\n faStreetView: faStreetView,\n faStrikethrough: faStrikethrough,\n faStroopwafel: faStroopwafel,\n faSubscript: faSubscript,\n faSubway: faSubway,\n faSuitcase: faSuitcase,\n faSuitcaseRolling: faSuitcaseRolling,\n faSun: faSun,\n faSuperscript: faSuperscript,\n faSurprise: faSurprise,\n faSwatchbook: faSwatchbook,\n faSwimmer: faSwimmer,\n faSwimmingPool: faSwimmingPool,\n faSynagogue: faSynagogue,\n faSync: faSync,\n faSyncAlt: faSyncAlt,\n faSyringe: faSyringe,\n faTable: faTable,\n faTableTennis: faTableTennis,\n faTablet: faTablet,\n faTabletAlt: faTabletAlt,\n faTablets: faTablets,\n faTachometerAlt: faTachometerAlt,\n faTag: faTag,\n faTags: faTags,\n faTape: faTape,\n faTasks: faTasks,\n faTaxi: faTaxi,\n faTeeth: faTeeth,\n faTeethOpen: faTeethOpen,\n faTemperatureHigh: faTemperatureHigh,\n faTemperatureLow: faTemperatureLow,\n faTenge: faTenge,\n faTerminal: faTerminal,\n faTextHeight: faTextHeight,\n faTextWidth: faTextWidth,\n faTh: faTh,\n faThLarge: faThLarge,\n faThList: faThList,\n faTheaterMasks: faTheaterMasks,\n faThermometer: faThermometer,\n faThermometerEmpty: faThermometerEmpty,\n faThermometerFull: faThermometerFull,\n faThermometerHalf: faThermometerHalf,\n faThermometerQuarter: faThermometerQuarter,\n faThermometerThreeQuarters: faThermometerThreeQuarters,\n faThumbsDown: faThumbsDown,\n faThumbsUp: faThumbsUp,\n faThumbtack: faThumbtack,\n faTicketAlt: faTicketAlt,\n faTimes: faTimes,\n faTimesCircle: faTimesCircle,\n faTint: faTint,\n faTintSlash: faTintSlash,\n faTired: faTired,\n faToggleOff: faToggleOff,\n faToggleOn: faToggleOn,\n faToilet: faToilet,\n faToiletPaper: faToiletPaper,\n faToiletPaperSlash: faToiletPaperSlash,\n faToolbox: faToolbox,\n faTools: faTools,\n faTooth: faTooth,\n faTorah: faTorah,\n faToriiGate: faToriiGate,\n faTractor: faTractor,\n faTrademark: faTrademark,\n faTrafficLight: faTrafficLight,\n faTrailer: faTrailer,\n faTrain: faTrain,\n faTram: faTram,\n faTransgender: faTransgender,\n faTransgenderAlt: faTransgenderAlt,\n faTrash: faTrash,\n faTrashAlt: faTrashAlt,\n faTrashRestore: faTrashRestore,\n faTrashRestoreAlt: faTrashRestoreAlt,\n faTree: faTree,\n faTrophy: faTrophy,\n faTruck: faTruck,\n faTruckLoading: faTruckLoading,\n faTruckMonster: faTruckMonster,\n faTruckMoving: faTruckMoving,\n faTruckPickup: faTruckPickup,\n faTshirt: faTshirt,\n faTty: faTty,\n faTv: faTv,\n faUmbrella: faUmbrella,\n faUmbrellaBeach: faUmbrellaBeach,\n faUnderline: faUnderline,\n faUndo: faUndo,\n faUndoAlt: faUndoAlt,\n faUniversalAccess: faUniversalAccess,\n faUniversity: faUniversity,\n faUnlink: faUnlink,\n faUnlock: faUnlock,\n faUnlockAlt: faUnlockAlt,\n faUpload: faUpload,\n faUser: faUser,\n faUserAlt: faUserAlt,\n faUserAltSlash: faUserAltSlash,\n faUserAstronaut: faUserAstronaut,\n faUserCheck: faUserCheck,\n faUserCircle: faUserCircle,\n faUserClock: faUserClock,\n faUserCog: faUserCog,\n faUserEdit: faUserEdit,\n faUserFriends: faUserFriends,\n faUserGraduate: faUserGraduate,\n faUserInjured: faUserInjured,\n faUserLock: faUserLock,\n faUserMd: faUserMd,\n faUserMinus: faUserMinus,\n faUserNinja: faUserNinja,\n faUserNurse: faUserNurse,\n faUserPlus: faUserPlus,\n faUserSecret: faUserSecret,\n faUserShield: faUserShield,\n faUserSlash: faUserSlash,\n faUserTag: faUserTag,\n faUserTie: faUserTie,\n faUserTimes: faUserTimes,\n faUsers: faUsers,\n faUsersCog: faUsersCog,\n faUtensilSpoon: faUtensilSpoon,\n faUtensils: faUtensils,\n faVectorSquare: faVectorSquare,\n faVenus: faVenus,\n faVenusDouble: faVenusDouble,\n faVenusMars: faVenusMars,\n faVial: faVial,\n faVials: faVials,\n faVideo: faVideo,\n faVideoSlash: faVideoSlash,\n faVihara: faVihara,\n faVirus: faVirus,\n faVirusSlash: faVirusSlash,\n faViruses: faViruses,\n faVoicemail: faVoicemail,\n faVolleyballBall: faVolleyballBall,\n faVolumeDown: faVolumeDown,\n faVolumeMute: faVolumeMute,\n faVolumeOff: faVolumeOff,\n faVolumeUp: faVolumeUp,\n faVoteYea: faVoteYea,\n faVrCardboard: faVrCardboard,\n faWalking: faWalking,\n faWallet: faWallet,\n faWarehouse: faWarehouse,\n faWater: faWater,\n faWaveSquare: faWaveSquare,\n faWeight: faWeight,\n faWeightHanging: faWeightHanging,\n faWheelchair: faWheelchair,\n faWifi: faWifi,\n faWind: faWind,\n faWindowClose: faWindowClose,\n faWindowMaximize: faWindowMaximize,\n faWindowMinimize: faWindowMinimize,\n faWindowRestore: faWindowRestore,\n faWineBottle: faWineBottle,\n faWineGlass: faWineGlass,\n faWineGlassAlt: faWineGlassAlt,\n faWonSign: faWonSign,\n faWrench: faWrench,\n faXRay: faXRay,\n faYenSign: faYenSign,\n faYinYang: faYinYang\n};\n\nexport { _iconsCache as fas, prefix, faAd, faAddressBook, faAddressCard, faAdjust, faAirFreshener, faAlignCenter, faAlignJustify, faAlignLeft, faAlignRight, faAllergies, faAmbulance, faAmericanSignLanguageInterpreting, faAnchor, faAngleDoubleDown, faAngleDoubleLeft, faAngleDoubleRight, faAngleDoubleUp, faAngleDown, faAngleLeft, faAngleRight, faAngleUp, faAngry, faAnkh, faAppleAlt, faArchive, faArchway, faArrowAltCircleDown, faArrowAltCircleLeft, faArrowAltCircleRight, faArrowAltCircleUp, faArrowCircleDown, faArrowCircleLeft, faArrowCircleRight, faArrowCircleUp, faArrowDown, faArrowLeft, faArrowRight, faArrowUp, faArrowsAlt, faArrowsAltH, faArrowsAltV, faAssistiveListeningSystems, faAsterisk, faAt, faAtlas, faAtom, faAudioDescription, faAward, faBaby, faBabyCarriage, faBackspace, faBackward, faBacon, faBahai, faBalanceScale, faBalanceScaleLeft, faBalanceScaleRight, faBan, faBandAid, faBarcode, faBars, faBaseballBall, faBasketballBall, faBath, faBatteryEmpty, faBatteryFull, faBatteryHalf, faBatteryQuarter, faBatteryThreeQuarters, faBed, faBeer, faBell, faBellSlash, faBezierCurve, faBible, faBicycle, faBiking, faBinoculars, faBiohazard, faBirthdayCake, faBlender, faBlenderPhone, faBlind, faBlog, faBold, faBolt, faBomb, faBone, faBong, faBook, faBookDead, faBookMedical, faBookOpen, faBookReader, faBookmark, faBorderAll, faBorderNone, faBorderStyle, faBowlingBall, faBox, faBoxOpen, faBoxTissue, faBoxes, faBraille, faBrain, faBreadSlice, faBriefcase, faBriefcaseMedical, faBroadcastTower, faBroom, faBrush, faBug, faBuilding, faBullhorn, faBullseye, faBurn, faBus, faBusAlt, faBusinessTime, faCalculator, faCalendar, faCalendarAlt, faCalendarCheck, faCalendarDay, faCalendarMinus, faCalendarPlus, faCalendarTimes, faCalendarWeek, faCamera, faCameraRetro, faCampground, faCandyCane, faCannabis, faCapsules, faCar, faCarAlt, faCarBattery, faCarCrash, faCarSide, faCaravan, faCaretDown, faCaretLeft, faCaretRight, faCaretSquareDown, faCaretSquareLeft, faCaretSquareRight, faCaretSquareUp, faCaretUp, faCarrot, faCartArrowDown, faCartPlus, faCashRegister, faCat, faCertificate, faChair, faChalkboard, faChalkboardTeacher, faChargingStation, faChartArea, faChartBar, faChartLine, faChartPie, faCheck, faCheckCircle, faCheckDouble, faCheckSquare, faCheese, faChess, faChessBishop, faChessBoard, faChessKing, faChessKnight, faChessPawn, faChessQueen, faChessRook, faChevronCircleDown, faChevronCircleLeft, faChevronCircleRight, faChevronCircleUp, faChevronDown, faChevronLeft, faChevronRight, faChevronUp, faChild, faChurch, faCircle, faCircleNotch, faCity, faClinicMedical, faClipboard, faClipboardCheck, faClipboardList, faClock, faClone, faClosedCaptioning, faCloud, faCloudDownloadAlt, faCloudMeatball, faCloudMoon, faCloudMoonRain, faCloudRain, faCloudShowersHeavy, faCloudSun, faCloudSunRain, faCloudUploadAlt, faCocktail, faCode, faCodeBranch, faCoffee, faCog, faCogs, faCoins, faColumns, faComment, faCommentAlt, faCommentDollar, faCommentDots, faCommentMedical, faCommentSlash, faComments, faCommentsDollar, faCompactDisc, faCompass, faCompress, faCompressAlt, faCompressArrowsAlt, faConciergeBell, faCookie, faCookieBite, faCopy, faCopyright, faCouch, faCreditCard, faCrop, faCropAlt, faCross, faCrosshairs, faCrow, faCrown, faCrutch, faCube, faCubes, faCut, faDatabase, faDeaf, faDemocrat, faDesktop, faDharmachakra, faDiagnoses, faDice, faDiceD20, faDiceD6, faDiceFive, faDiceFour, faDiceOne, faDiceSix, faDiceThree, faDiceTwo, faDigitalTachograph, faDirections, faDisease, faDivide, faDizzy, faDna, faDog, faDollarSign, faDolly, faDollyFlatbed, faDonate, faDoorClosed, faDoorOpen, faDotCircle, faDove, faDownload, faDraftingCompass, faDragon, faDrawPolygon, faDrum, faDrumSteelpan, faDrumstickBite, faDumbbell, faDumpster, faDumpsterFire, faDungeon, faEdit, faEgg, faEject, faEllipsisH, faEllipsisV, faEnvelope, faEnvelopeOpen, faEnvelopeOpenText, faEnvelopeSquare, faEquals, faEraser, faEthernet, faEuroSign, faExchangeAlt, faExclamation, faExclamationCircle, faExclamationTriangle, faExpand, faExpandAlt, faExpandArrowsAlt, faExternalLinkAlt, faExternalLinkSquareAlt, faEye, faEyeDropper, faEyeSlash, faFan, faFastBackward, faFastForward, faFaucet, faFax, faFeather, faFeatherAlt, faFemale, faFighterJet, faFile, faFileAlt, faFileArchive, faFileAudio, faFileCode, faFileContract, faFileCsv, faFileDownload, faFileExcel, faFileExport, faFileImage, faFileImport, faFileInvoice, faFileInvoiceDollar, faFileMedical, faFileMedicalAlt, faFilePdf, faFilePowerpoint, faFilePrescription, faFileSignature, faFileUpload, faFileVideo, faFileWord, faFill, faFillDrip, faFilm, faFilter, faFingerprint, faFire, faFireAlt, faFireExtinguisher, faFirstAid, faFish, faFistRaised, faFlag, faFlagCheckered, faFlagUsa, faFlask, faFlushed, faFolder, faFolderMinus, faFolderOpen, faFolderPlus, faFont, faFontAwesomeLogoFull, faFootballBall, faForward, faFrog, faFrown, faFrownOpen, faFunnelDollar, faFutbol, faGamepad, faGasPump, faGavel, faGem, faGenderless, faGhost, faGift, faGifts, faGlassCheers, faGlassMartini, faGlassMartiniAlt, faGlassWhiskey, faGlasses, faGlobe, faGlobeAfrica, faGlobeAmericas, faGlobeAsia, faGlobeEurope, faGolfBall, faGopuram, faGraduationCap, faGreaterThan, faGreaterThanEqual, faGrimace, faGrin, faGrinAlt, faGrinBeam, faGrinBeamSweat, faGrinHearts, faGrinSquint, faGrinSquintTears, faGrinStars, faGrinTears, faGrinTongue, faGrinTongueSquint, faGrinTongueWink, faGrinWink, faGripHorizontal, faGripLines, faGripLinesVertical, faGripVertical, faGuitar, faHSquare, faHamburger, faHammer, faHamsa, faHandHolding, faHandHoldingHeart, faHandHoldingMedical, faHandHoldingUsd, faHandHoldingWater, faHandLizard, faHandMiddleFinger, faHandPaper, faHandPeace, faHandPointDown, faHandPointLeft, faHandPointRight, faHandPointUp, faHandPointer, faHandRock, faHandScissors, faHandSparkles, faHandSpock, faHands, faHandsHelping, faHandsWash, faHandshake, faHandshakeAltSlash, faHandshakeSlash, faHanukiah, faHardHat, faHashtag, faHatCowboy, faHatCowboySide, faHatWizard, faHdd, faHeadSideCough, faHeadSideCoughSlash, faHeadSideMask, faHeadSideVirus, faHeading, faHeadphones, faHeadphonesAlt, faHeadset, faHeart, faHeartBroken, faHeartbeat, faHelicopter, faHighlighter, faHiking, faHippo, faHistory, faHockeyPuck, faHollyBerry, faHome, faHorse, faHorseHead, faHospital, faHospitalAlt, faHospitalSymbol, faHospitalUser, faHotTub, faHotdog, faHotel, faHourglass, faHourglassEnd, faHourglassHalf, faHourglassStart, faHouseDamage, faHouseUser, faHryvnia, faICursor, faIceCream, faIcicles, faIcons, faIdBadge, faIdCard, faIdCardAlt, faIgloo, faImage, faImages, faInbox, faIndent, faIndustry, faInfinity, faInfo, faInfoCircle, faItalic, faJedi, faJoint, faJournalWhills, faKaaba, faKey, faKeyboard, faKhanda, faKiss, faKissBeam, faKissWinkHeart, faKiwiBird, faLandmark, faLanguage, faLaptop, faLaptopCode, faLaptopHouse, faLaptopMedical, faLaugh, faLaughBeam, faLaughSquint, faLaughWink, faLayerGroup, faLeaf, faLemon, faLessThan, faLessThanEqual, faLevelDownAlt, faLevelUpAlt, faLifeRing, faLightbulb, faLink, faLiraSign, faList, faListAlt, faListOl, faListUl, faLocationArrow, faLock, faLockOpen, faLongArrowAltDown, faLongArrowAltLeft, faLongArrowAltRight, faLongArrowAltUp, faLowVision, faLuggageCart, faLungs, faLungsVirus, faMagic, faMagnet, faMailBulk, faMale, faMap, faMapMarked, faMapMarkedAlt, faMapMarker, faMapMarkerAlt, faMapPin, faMapSigns, faMarker, faMars, faMarsDouble, faMarsStroke, faMarsStrokeH, faMarsStrokeV, faMask, faMedal, faMedkit, faMeh, faMehBlank, faMehRollingEyes, faMemory, faMenorah, faMercury, faMeteor, faMicrochip, faMicrophone, faMicrophoneAlt, faMicrophoneAltSlash, faMicrophoneSlash, faMicroscope, faMinus, faMinusCircle, faMinusSquare, faMitten, faMobile, faMobileAlt, faMoneyBill, faMoneyBillAlt, faMoneyBillWave, faMoneyBillWaveAlt, faMoneyCheck, faMoneyCheckAlt, faMonument, faMoon, faMortarPestle, faMosque, faMotorcycle, faMountain, faMouse, faMousePointer, faMugHot, faMusic, faNetworkWired, faNeuter, faNewspaper, faNotEqual, faNotesMedical, faObjectGroup, faObjectUngroup, faOilCan, faOm, faOtter, faOutdent, faPager, faPaintBrush, faPaintRoller, faPalette, faPallet, faPaperPlane, faPaperclip, faParachuteBox, faParagraph, faParking, faPassport, faPastafarianism, faPaste, faPause, faPauseCircle, faPaw, faPeace, faPen, faPenAlt, faPenFancy, faPenNib, faPenSquare, faPencilAlt, faPencilRuler, faPeopleArrows, faPeopleCarry, faPepperHot, faPercent, faPercentage, faPersonBooth, faPhone, faPhoneAlt, faPhoneSlash, faPhoneSquare, faPhoneSquareAlt, faPhoneVolume, faPhotoVideo, faPiggyBank, faPills, faPizzaSlice, faPlaceOfWorship, faPlane, faPlaneArrival, faPlaneDeparture, faPlaneSlash, faPlay, faPlayCircle, faPlug, faPlus, faPlusCircle, faPlusSquare, faPodcast, faPoll, faPollH, faPoo, faPooStorm, faPoop, faPortrait, faPoundSign, faPowerOff, faPray, faPrayingHands, faPrescription, faPrescriptionBottle, faPrescriptionBottleAlt, faPrint, faProcedures, faProjectDiagram, faPumpMedical, faPumpSoap, faPuzzlePiece, faQrcode, faQuestion, faQuestionCircle, faQuidditch, faQuoteLeft, faQuoteRight, faQuran, faRadiation, faRadiationAlt, faRainbow, faRandom, faReceipt, faRecordVinyl, faRecycle, faRedo, faRedoAlt, faRegistered, faRemoveFormat, faReply, faReplyAll, faRepublican, faRestroom, faRetweet, faRibbon, faRing, faRoad, faRobot, faRocket, faRoute, faRss, faRssSquare, faRubleSign, faRuler, faRulerCombined, faRulerHorizontal, faRulerVertical, faRunning, faRupeeSign, faSadCry, faSadTear, faSatellite, faSatelliteDish, faSave, faSchool, faScrewdriver, faScroll, faSdCard, faSearch, faSearchDollar, faSearchLocation, faSearchMinus, faSearchPlus, faSeedling, faServer, faShapes, faShare, faShareAlt, faShareAltSquare, faShareSquare, faShekelSign, faShieldAlt, faShieldVirus, faShip, faShippingFast, faShoePrints, faShoppingBag, faShoppingBasket, faShoppingCart, faShower, faShuttleVan, faSign, faSignInAlt, faSignLanguage, faSignOutAlt, faSignal, faSignature, faSimCard, faSitemap, faSkating, faSkiing, faSkiingNordic, faSkull, faSkullCrossbones, faSlash, faSleigh, faSlidersH, faSmile, faSmileBeam, faSmileWink, faSmog, faSmoking, faSmokingBan, faSms, faSnowboarding, faSnowflake, faSnowman, faSnowplow, faSoap, faSocks, faSolarPanel, faSort, faSortAlphaDown, faSortAlphaDownAlt, faSortAlphaUp, faSortAlphaUpAlt, faSortAmountDown, faSortAmountDownAlt, faSortAmountUp, faSortAmountUpAlt, faSortDown, faSortNumericDown, faSortNumericDownAlt, faSortNumericUp, faSortNumericUpAlt, faSortUp, faSpa, faSpaceShuttle, faSpellCheck, faSpider, faSpinner, faSplotch, faSprayCan, faSquare, faSquareFull, faSquareRootAlt, faStamp, faStar, faStarAndCrescent, faStarHalf, faStarHalfAlt, faStarOfDavid, faStarOfLife, faStepBackward, faStepForward, faStethoscope, faStickyNote, faStop, faStopCircle, faStopwatch, faStopwatch20, faStore, faStoreAlt, faStoreAltSlash, faStoreSlash, faStream, faStreetView, faStrikethrough, faStroopwafel, faSubscript, faSubway, faSuitcase, faSuitcaseRolling, faSun, faSuperscript, faSurprise, faSwatchbook, faSwimmer, faSwimmingPool, faSynagogue, faSync, faSyncAlt, faSyringe, faTable, faTableTennis, faTablet, faTabletAlt, faTablets, faTachometerAlt, faTag, faTags, faTape, faTasks, faTaxi, faTeeth, faTeethOpen, faTemperatureHigh, faTemperatureLow, faTenge, faTerminal, faTextHeight, faTextWidth, faTh, faThLarge, faThList, faTheaterMasks, faThermometer, faThermometerEmpty, faThermometerFull, faThermometerHalf, faThermometerQuarter, faThermometerThreeQuarters, faThumbsDown, faThumbsUp, faThumbtack, faTicketAlt, faTimes, faTimesCircle, faTint, faTintSlash, faTired, faToggleOff, faToggleOn, faToilet, faToiletPaper, faToiletPaperSlash, faToolbox, faTools, faTooth, faTorah, faToriiGate, faTractor, faTrademark, faTrafficLight, faTrailer, faTrain, faTram, faTransgender, faTransgenderAlt, faTrash, faTrashAlt, faTrashRestore, faTrashRestoreAlt, faTree, faTrophy, faTruck, faTruckLoading, faTruckMonster, faTruckMoving, faTruckPickup, faTshirt, faTty, faTv, faUmbrella, faUmbrellaBeach, faUnderline, faUndo, faUndoAlt, faUniversalAccess, faUniversity, faUnlink, faUnlock, faUnlockAlt, faUpload, faUser, faUserAlt, faUserAltSlash, faUserAstronaut, faUserCheck, faUserCircle, faUserClock, faUserCog, faUserEdit, faUserFriends, faUserGraduate, faUserInjured, faUserLock, faUserMd, faUserMinus, faUserNinja, faUserNurse, faUserPlus, faUserSecret, faUserShield, faUserSlash, faUserTag, faUserTie, faUserTimes, faUsers, faUsersCog, faUtensilSpoon, faUtensils, faVectorSquare, faVenus, faVenusDouble, faVenusMars, faVial, faVials, faVideo, faVideoSlash, faVihara, faVirus, faVirusSlash, faViruses, faVoicemail, faVolleyballBall, faVolumeDown, faVolumeMute, faVolumeOff, faVolumeUp, faVoteYea, faVrCardboard, faWalking, faWallet, faWarehouse, faWater, faWaveSquare, faWeight, faWeightHanging, faWheelchair, faWifi, faWind, faWindowClose, faWindowMaximize, faWindowMinimize, faWindowRestore, faWineBottle, faWineGlass, faWineGlassAlt, faWonSign, faWrench, faXRay, faYenSign, faYinYang };\n","function _typeof(obj) {\n if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n _typeof = function (obj) {\n return typeof obj;\n };\n } else {\n _typeof = function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n };\n }\n\n return _typeof(obj);\n}\n\nfunction _classCallCheck(instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n}\n\nfunction _defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n}\n\nfunction _createClass(Constructor, protoProps, staticProps) {\n if (protoProps) _defineProperties(Constructor.prototype, protoProps);\n if (staticProps) _defineProperties(Constructor, staticProps);\n return Constructor;\n}\n\nfunction _defineProperty(obj, key, value) {\n if (key in obj) {\n Object.defineProperty(obj, key, {\n value: value,\n enumerable: true,\n configurable: true,\n writable: true\n });\n } else {\n obj[key] = value;\n }\n\n return obj;\n}\n\nfunction _objectSpread(target) {\n for (var i = 1; i < arguments.length; i++) {\n var source = arguments[i] != null ? arguments[i] : {};\n var ownKeys = Object.keys(source);\n\n if (typeof Object.getOwnPropertySymbols === 'function') {\n ownKeys = ownKeys.concat(Object.getOwnPropertySymbols(source).filter(function (sym) {\n return Object.getOwnPropertyDescriptor(source, sym).enumerable;\n }));\n }\n\n ownKeys.forEach(function (key) {\n _defineProperty(target, key, source[key]);\n });\n }\n\n return target;\n}\n\nfunction _slicedToArray(arr, i) {\n return _arrayWithHoles(arr) || _iterableToArrayLimit(arr, i) || _nonIterableRest();\n}\n\nfunction _toConsumableArray(arr) {\n return _arrayWithoutHoles(arr) || _iterableToArray(arr) || _nonIterableSpread();\n}\n\nfunction _arrayWithoutHoles(arr) {\n if (Array.isArray(arr)) {\n for (var i = 0, arr2 = new Array(arr.length); i < arr.length; i++) arr2[i] = arr[i];\n\n return arr2;\n }\n}\n\nfunction _arrayWithHoles(arr) {\n if (Array.isArray(arr)) return arr;\n}\n\nfunction _iterableToArray(iter) {\n if (Symbol.iterator in Object(iter) || Object.prototype.toString.call(iter) === \"[object Arguments]\") return Array.from(iter);\n}\n\nfunction _iterableToArrayLimit(arr, i) {\n var _arr = [];\n var _n = true;\n var _d = false;\n var _e = undefined;\n\n try {\n for (var _i = arr[Symbol.iterator](), _s; !(_n = (_s = _i.next()).done); _n = true) {\n _arr.push(_s.value);\n\n if (i && _arr.length === i) break;\n }\n } catch (err) {\n _d = true;\n _e = err;\n } finally {\n try {\n if (!_n && _i[\"return\"] != null) _i[\"return\"]();\n } finally {\n if (_d) throw _e;\n }\n }\n\n return _arr;\n}\n\nfunction _nonIterableSpread() {\n throw new TypeError(\"Invalid attempt to spread non-iterable instance\");\n}\n\nfunction _nonIterableRest() {\n throw new TypeError(\"Invalid attempt to destructure non-iterable instance\");\n}\n\nvar noop = function noop() {};\n\nvar _WINDOW = {};\nvar _DOCUMENT = {};\nvar _MUTATION_OBSERVER = null;\nvar _PERFORMANCE = {\n mark: noop,\n measure: noop\n};\n\ntry {\n if (typeof window !== 'undefined') _WINDOW = window;\n if (typeof document !== 'undefined') _DOCUMENT = document;\n if (typeof MutationObserver !== 'undefined') _MUTATION_OBSERVER = MutationObserver;\n if (typeof performance !== 'undefined') _PERFORMANCE = performance;\n} catch (e) {}\n\nvar _ref = _WINDOW.navigator || {},\n _ref$userAgent = _ref.userAgent,\n userAgent = _ref$userAgent === void 0 ? '' : _ref$userAgent;\n\nvar WINDOW = _WINDOW;\nvar DOCUMENT = _DOCUMENT;\nvar MUTATION_OBSERVER = _MUTATION_OBSERVER;\nvar PERFORMANCE = _PERFORMANCE;\nvar IS_BROWSER = !!WINDOW.document;\nvar IS_DOM = !!DOCUMENT.documentElement && !!DOCUMENT.head && typeof DOCUMENT.addEventListener === 'function' && typeof DOCUMENT.createElement === 'function';\nvar IS_IE = ~userAgent.indexOf('MSIE') || ~userAgent.indexOf('Trident/');\n\nvar NAMESPACE_IDENTIFIER = '___FONT_AWESOME___';\nvar UNITS_IN_GRID = 16;\nvar DEFAULT_FAMILY_PREFIX = 'fa';\nvar DEFAULT_REPLACEMENT_CLASS = 'svg-inline--fa';\nvar DATA_FA_I2SVG = 'data-fa-i2svg';\nvar DATA_FA_PSEUDO_ELEMENT = 'data-fa-pseudo-element';\nvar DATA_FA_PSEUDO_ELEMENT_PENDING = 'data-fa-pseudo-element-pending';\nvar DATA_PREFIX = 'data-prefix';\nvar DATA_ICON = 'data-icon';\nvar HTML_CLASS_I2SVG_BASE_CLASS = 'fontawesome-i2svg';\nvar MUTATION_APPROACH_ASYNC = 'async';\nvar TAGNAMES_TO_SKIP_FOR_PSEUDOELEMENTS = ['HTML', 'HEAD', 'STYLE', 'SCRIPT'];\nvar PRODUCTION = function () {\n try {\n return process.env.NODE_ENV === 'production';\n } catch (e) {\n return false;\n }\n}();\nvar PREFIX_TO_STYLE = {\n 'fas': 'solid',\n 'far': 'regular',\n 'fal': 'light',\n 'fad': 'duotone',\n 'fab': 'brands',\n 'fa': 'solid'\n};\nvar STYLE_TO_PREFIX = {\n 'solid': 'fas',\n 'regular': 'far',\n 'light': 'fal',\n 'duotone': 'fad',\n 'brands': 'fab'\n};\nvar LAYERS_TEXT_CLASSNAME = 'fa-layers-text';\nvar FONT_FAMILY_PATTERN = /Font Awesome 5 (Solid|Regular|Light|Duotone|Brands|Free|Pro)/;\nvar FONT_WEIGHT_TO_PREFIX = {\n '900': 'fas',\n '400': 'far',\n 'normal': 'far',\n '300': 'fal'\n};\nvar oneToTen = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10];\nvar oneToTwenty = oneToTen.concat([11, 12, 13, 14, 15, 16, 17, 18, 19, 20]);\nvar ATTRIBUTES_WATCHED_FOR_MUTATION = ['class', 'data-prefix', 'data-icon', 'data-fa-transform', 'data-fa-mask'];\nvar DUOTONE_CLASSES = {\n GROUP: 'group',\n SWAP_OPACITY: 'swap-opacity',\n PRIMARY: 'primary',\n SECONDARY: 'secondary'\n};\nvar RESERVED_CLASSES = ['xs', 'sm', 'lg', 'fw', 'ul', 'li', 'border', 'pull-left', 'pull-right', 'spin', 'pulse', 'rotate-90', 'rotate-180', 'rotate-270', 'flip-horizontal', 'flip-vertical', 'flip-both', 'stack', 'stack-1x', 'stack-2x', 'inverse', 'layers', 'layers-text', 'layers-counter', DUOTONE_CLASSES.GROUP, DUOTONE_CLASSES.SWAP_OPACITY, DUOTONE_CLASSES.PRIMARY, DUOTONE_CLASSES.SECONDARY].concat(oneToTen.map(function (n) {\n return \"\".concat(n, \"x\");\n})).concat(oneToTwenty.map(function (n) {\n return \"w-\".concat(n);\n}));\n\nvar initial = WINDOW.FontAwesomeConfig || {};\n\nfunction getAttrConfig(attr) {\n var element = DOCUMENT.querySelector('script[' + attr + ']');\n\n if (element) {\n return element.getAttribute(attr);\n }\n}\n\nfunction coerce(val) {\n // Getting an empty string will occur if the attribute is set on the HTML tag but without a value\n // We'll assume that this is an indication that it should be toggled to true\n // For example \n if (val === '') return true;\n if (val === 'false') return false;\n if (val === 'true') return true;\n return val;\n}\n\nif (DOCUMENT && typeof DOCUMENT.querySelector === 'function') {\n var attrs = [['data-family-prefix', 'familyPrefix'], ['data-replacement-class', 'replacementClass'], ['data-auto-replace-svg', 'autoReplaceSvg'], ['data-auto-add-css', 'autoAddCss'], ['data-auto-a11y', 'autoA11y'], ['data-search-pseudo-elements', 'searchPseudoElements'], ['data-observe-mutations', 'observeMutations'], ['data-mutate-approach', 'mutateApproach'], ['data-keep-original-source', 'keepOriginalSource'], ['data-measure-performance', 'measurePerformance'], ['data-show-missing-icons', 'showMissingIcons']];\n attrs.forEach(function (_ref) {\n var _ref2 = _slicedToArray(_ref, 2),\n attr = _ref2[0],\n key = _ref2[1];\n\n var val = coerce(getAttrConfig(attr));\n\n if (val !== undefined && val !== null) {\n initial[key] = val;\n }\n });\n}\n\nvar _default = {\n familyPrefix: DEFAULT_FAMILY_PREFIX,\n replacementClass: DEFAULT_REPLACEMENT_CLASS,\n autoReplaceSvg: true,\n autoAddCss: true,\n autoA11y: true,\n searchPseudoElements: false,\n observeMutations: true,\n mutateApproach: 'async',\n keepOriginalSource: true,\n measurePerformance: false,\n showMissingIcons: true\n};\n\nvar _config = _objectSpread({}, _default, initial);\n\nif (!_config.autoReplaceSvg) _config.observeMutations = false;\n\nvar config = _objectSpread({}, _config);\n\nWINDOW.FontAwesomeConfig = config;\n\nvar w = WINDOW || {};\nif (!w[NAMESPACE_IDENTIFIER]) w[NAMESPACE_IDENTIFIER] = {};\nif (!w[NAMESPACE_IDENTIFIER].styles) w[NAMESPACE_IDENTIFIER].styles = {};\nif (!w[NAMESPACE_IDENTIFIER].hooks) w[NAMESPACE_IDENTIFIER].hooks = {};\nif (!w[NAMESPACE_IDENTIFIER].shims) w[NAMESPACE_IDENTIFIER].shims = [];\nvar namespace = w[NAMESPACE_IDENTIFIER];\n\nvar functions = [];\n\nvar listener = function listener() {\n DOCUMENT.removeEventListener('DOMContentLoaded', listener);\n loaded = 1;\n functions.map(function (fn) {\n return fn();\n });\n};\n\nvar loaded = false;\n\nif (IS_DOM) {\n loaded = (DOCUMENT.documentElement.doScroll ? /^loaded|^c/ : /^loaded|^i|^c/).test(DOCUMENT.readyState);\n if (!loaded) DOCUMENT.addEventListener('DOMContentLoaded', listener);\n}\n\nfunction domready (fn) {\n if (!IS_DOM) return;\n loaded ? setTimeout(fn, 0) : functions.push(fn);\n}\n\nvar PENDING = 'pending';\nvar SETTLED = 'settled';\nvar FULFILLED = 'fulfilled';\nvar REJECTED = 'rejected';\n\nvar NOOP = function NOOP() {};\n\nvar isNode = typeof global !== 'undefined' && typeof global.process !== 'undefined' && typeof global.process.emit === 'function';\nvar asyncSetTimer = typeof setImmediate === 'undefined' ? setTimeout : setImmediate;\nvar asyncQueue = [];\nvar asyncTimer;\n\nfunction asyncFlush() {\n // run promise callbacks\n for (var i = 0; i < asyncQueue.length; i++) {\n asyncQueue[i][0](asyncQueue[i][1]);\n } // reset async asyncQueue\n\n\n asyncQueue = [];\n asyncTimer = false;\n}\n\nfunction asyncCall(callback, arg) {\n asyncQueue.push([callback, arg]);\n\n if (!asyncTimer) {\n asyncTimer = true;\n asyncSetTimer(asyncFlush, 0);\n }\n}\n\nfunction invokeResolver(resolver, promise) {\n function resolvePromise(value) {\n resolve(promise, value);\n }\n\n function rejectPromise(reason) {\n reject(promise, reason);\n }\n\n try {\n resolver(resolvePromise, rejectPromise);\n } catch (e) {\n rejectPromise(e);\n }\n}\n\nfunction invokeCallback(subscriber) {\n var owner = subscriber.owner;\n var settled = owner._state;\n var value = owner._data;\n var callback = subscriber[settled];\n var promise = subscriber.then;\n\n if (typeof callback === 'function') {\n settled = FULFILLED;\n\n try {\n value = callback(value);\n } catch (e) {\n reject(promise, e);\n }\n }\n\n if (!handleThenable(promise, value)) {\n if (settled === FULFILLED) {\n resolve(promise, value);\n }\n\n if (settled === REJECTED) {\n reject(promise, value);\n }\n }\n}\n\nfunction handleThenable(promise, value) {\n var resolved;\n\n try {\n if (promise === value) {\n throw new TypeError('A promises callback cannot return that same promise.');\n }\n\n if (value && (typeof value === 'function' || _typeof(value) === 'object')) {\n // then should be retrieved only once\n var then = value.then;\n\n if (typeof then === 'function') {\n then.call(value, function (val) {\n if (!resolved) {\n resolved = true;\n\n if (value === val) {\n fulfill(promise, val);\n } else {\n resolve(promise, val);\n }\n }\n }, function (reason) {\n if (!resolved) {\n resolved = true;\n reject(promise, reason);\n }\n });\n return true;\n }\n }\n } catch (e) {\n if (!resolved) {\n reject(promise, e);\n }\n\n return true;\n }\n\n return false;\n}\n\nfunction resolve(promise, value) {\n if (promise === value || !handleThenable(promise, value)) {\n fulfill(promise, value);\n }\n}\n\nfunction fulfill(promise, value) {\n if (promise._state === PENDING) {\n promise._state = SETTLED;\n promise._data = value;\n asyncCall(publishFulfillment, promise);\n }\n}\n\nfunction reject(promise, reason) {\n if (promise._state === PENDING) {\n promise._state = SETTLED;\n promise._data = reason;\n asyncCall(publishRejection, promise);\n }\n}\n\nfunction publish(promise) {\n promise._then = promise._then.forEach(invokeCallback);\n}\n\nfunction publishFulfillment(promise) {\n promise._state = FULFILLED;\n publish(promise);\n}\n\nfunction publishRejection(promise) {\n promise._state = REJECTED;\n publish(promise);\n\n if (!promise._handled && isNode) {\n global.process.emit('unhandledRejection', promise._data, promise);\n }\n}\n\nfunction notifyRejectionHandled(promise) {\n global.process.emit('rejectionHandled', promise);\n}\n/**\n * @class\n */\n\n\nfunction P(resolver) {\n if (typeof resolver !== 'function') {\n throw new TypeError('Promise resolver ' + resolver + ' is not a function');\n }\n\n if (this instanceof P === false) {\n throw new TypeError('Failed to construct \\'Promise\\': Please use the \\'new\\' operator, this object constructor cannot be called as a function.');\n }\n\n this._then = [];\n invokeResolver(resolver, this);\n}\n\nP.prototype = {\n constructor: P,\n _state: PENDING,\n _then: null,\n _data: undefined,\n _handled: false,\n then: function then(onFulfillment, onRejection) {\n var subscriber = {\n owner: this,\n then: new this.constructor(NOOP),\n fulfilled: onFulfillment,\n rejected: onRejection\n };\n\n if ((onRejection || onFulfillment) && !this._handled) {\n this._handled = true;\n\n if (this._state === REJECTED && isNode) {\n asyncCall(notifyRejectionHandled, this);\n }\n }\n\n if (this._state === FULFILLED || this._state === REJECTED) {\n // already resolved, call callback async\n asyncCall(invokeCallback, subscriber);\n } else {\n // subscribe\n this._then.push(subscriber);\n }\n\n return subscriber.then;\n },\n catch: function _catch(onRejection) {\n return this.then(null, onRejection);\n }\n};\n\nP.all = function (promises) {\n if (!Array.isArray(promises)) {\n throw new TypeError('You must pass an array to Promise.all().');\n }\n\n return new P(function (resolve, reject) {\n var results = [];\n var remaining = 0;\n\n function resolver(index) {\n remaining++;\n return function (value) {\n results[index] = value;\n\n if (! --remaining) {\n resolve(results);\n }\n };\n }\n\n for (var i = 0, promise; i < promises.length; i++) {\n promise = promises[i];\n\n if (promise && typeof promise.then === 'function') {\n promise.then(resolver(i), reject);\n } else {\n results[i] = promise;\n }\n }\n\n if (!remaining) {\n resolve(results);\n }\n });\n};\n\nP.race = function (promises) {\n if (!Array.isArray(promises)) {\n throw new TypeError('You must pass an array to Promise.race().');\n }\n\n return new P(function (resolve, reject) {\n for (var i = 0, promise; i < promises.length; i++) {\n promise = promises[i];\n\n if (promise && typeof promise.then === 'function') {\n promise.then(resolve, reject);\n } else {\n resolve(promise);\n }\n }\n });\n};\n\nP.resolve = function (value) {\n if (value && _typeof(value) === 'object' && value.constructor === P) {\n return value;\n }\n\n return new P(function (resolve) {\n resolve(value);\n });\n};\n\nP.reject = function (reason) {\n return new P(function (resolve, reject) {\n reject(reason);\n });\n};\n\nvar picked = typeof Promise === 'function' ? Promise : P;\n\nvar d = UNITS_IN_GRID;\nvar meaninglessTransform = {\n size: 16,\n x: 0,\n y: 0,\n rotate: 0,\n flipX: false,\n flipY: false\n};\n\nfunction isReserved(name) {\n return ~RESERVED_CLASSES.indexOf(name);\n}\nfunction insertCss(css) {\n if (!css || !IS_DOM) {\n return;\n }\n\n var style = DOCUMENT.createElement('style');\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n var headChildren = DOCUMENT.head.childNodes;\n var beforeChild = null;\n\n for (var i = headChildren.length - 1; i > -1; i--) {\n var child = headChildren[i];\n var tagName = (child.tagName || '').toUpperCase();\n\n if (['STYLE', 'LINK'].indexOf(tagName) > -1) {\n beforeChild = child;\n }\n }\n\n DOCUMENT.head.insertBefore(style, beforeChild);\n return css;\n}\nvar idPool = '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ';\nfunction nextUniqueId() {\n var size = 12;\n var id = '';\n\n while (size-- > 0) {\n id += idPool[Math.random() * 62 | 0];\n }\n\n return id;\n}\nfunction toArray(obj) {\n var array = [];\n\n for (var i = (obj || []).length >>> 0; i--;) {\n array[i] = obj[i];\n }\n\n return array;\n}\nfunction classArray(node) {\n if (node.classList) {\n return toArray(node.classList);\n } else {\n return (node.getAttribute('class') || '').split(' ').filter(function (i) {\n return i;\n });\n }\n}\nfunction getIconName(familyPrefix, cls) {\n var parts = cls.split('-');\n var prefix = parts[0];\n var iconName = parts.slice(1).join('-');\n\n if (prefix === familyPrefix && iconName !== '' && !isReserved(iconName)) {\n return iconName;\n } else {\n return null;\n }\n}\nfunction htmlEscape(str) {\n return \"\".concat(str).replace(/&/g, '&').replace(/\"/g, '"').replace(/'/g, ''').replace(//g, '>');\n}\nfunction joinAttributes(attributes) {\n return Object.keys(attributes || {}).reduce(function (acc, attributeName) {\n return acc + \"\".concat(attributeName, \"=\\\"\").concat(htmlEscape(attributes[attributeName]), \"\\\" \");\n }, '').trim();\n}\nfunction joinStyles(styles) {\n return Object.keys(styles || {}).reduce(function (acc, styleName) {\n return acc + \"\".concat(styleName, \": \").concat(styles[styleName], \";\");\n }, '');\n}\nfunction transformIsMeaningful(transform) {\n return transform.size !== meaninglessTransform.size || transform.x !== meaninglessTransform.x || transform.y !== meaninglessTransform.y || transform.rotate !== meaninglessTransform.rotate || transform.flipX || transform.flipY;\n}\nfunction transformForSvg(_ref) {\n var transform = _ref.transform,\n containerWidth = _ref.containerWidth,\n iconWidth = _ref.iconWidth;\n var outer = {\n transform: \"translate(\".concat(containerWidth / 2, \" 256)\")\n };\n var innerTranslate = \"translate(\".concat(transform.x * 32, \", \").concat(transform.y * 32, \") \");\n var innerScale = \"scale(\".concat(transform.size / 16 * (transform.flipX ? -1 : 1), \", \").concat(transform.size / 16 * (transform.flipY ? -1 : 1), \") \");\n var innerRotate = \"rotate(\".concat(transform.rotate, \" 0 0)\");\n var inner = {\n transform: \"\".concat(innerTranslate, \" \").concat(innerScale, \" \").concat(innerRotate)\n };\n var path = {\n transform: \"translate(\".concat(iconWidth / 2 * -1, \" -256)\")\n };\n return {\n outer: outer,\n inner: inner,\n path: path\n };\n}\nfunction transformForCss(_ref2) {\n var transform = _ref2.transform,\n _ref2$width = _ref2.width,\n width = _ref2$width === void 0 ? UNITS_IN_GRID : _ref2$width,\n _ref2$height = _ref2.height,\n height = _ref2$height === void 0 ? UNITS_IN_GRID : _ref2$height,\n _ref2$startCentered = _ref2.startCentered,\n startCentered = _ref2$startCentered === void 0 ? false : _ref2$startCentered;\n var val = '';\n\n if (startCentered && IS_IE) {\n val += \"translate(\".concat(transform.x / d - width / 2, \"em, \").concat(transform.y / d - height / 2, \"em) \");\n } else if (startCentered) {\n val += \"translate(calc(-50% + \".concat(transform.x / d, \"em), calc(-50% + \").concat(transform.y / d, \"em)) \");\n } else {\n val += \"translate(\".concat(transform.x / d, \"em, \").concat(transform.y / d, \"em) \");\n }\n\n val += \"scale(\".concat(transform.size / d * (transform.flipX ? -1 : 1), \", \").concat(transform.size / d * (transform.flipY ? -1 : 1), \") \");\n val += \"rotate(\".concat(transform.rotate, \"deg) \");\n return val;\n}\n\nvar ALL_SPACE = {\n x: 0,\n y: 0,\n width: '100%',\n height: '100%'\n};\n\nfunction fillBlack(abstract) {\n var force = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : true;\n\n if (abstract.attributes && (abstract.attributes.fill || force)) {\n abstract.attributes.fill = 'black';\n }\n\n return abstract;\n}\n\nfunction deGroup(abstract) {\n if (abstract.tag === 'g') {\n return abstract.children;\n } else {\n return [abstract];\n }\n}\n\nfunction makeIconMasking (_ref) {\n var children = _ref.children,\n attributes = _ref.attributes,\n main = _ref.main,\n mask = _ref.mask,\n explicitMaskId = _ref.maskId,\n transform = _ref.transform;\n var mainWidth = main.width,\n mainPath = main.icon;\n var maskWidth = mask.width,\n maskPath = mask.icon;\n var trans = transformForSvg({\n transform: transform,\n containerWidth: maskWidth,\n iconWidth: mainWidth\n });\n var maskRect = {\n tag: 'rect',\n attributes: _objectSpread({}, ALL_SPACE, {\n fill: 'white'\n })\n };\n var maskInnerGroupChildrenMixin = mainPath.children ? {\n children: mainPath.children.map(fillBlack)\n } : {};\n var maskInnerGroup = {\n tag: 'g',\n attributes: _objectSpread({}, trans.inner),\n children: [fillBlack(_objectSpread({\n tag: mainPath.tag,\n attributes: _objectSpread({}, mainPath.attributes, trans.path)\n }, maskInnerGroupChildrenMixin))]\n };\n var maskOuterGroup = {\n tag: 'g',\n attributes: _objectSpread({}, trans.outer),\n children: [maskInnerGroup]\n };\n var maskId = \"mask-\".concat(explicitMaskId || nextUniqueId());\n var clipId = \"clip-\".concat(explicitMaskId || nextUniqueId());\n var maskTag = {\n tag: 'mask',\n attributes: _objectSpread({}, ALL_SPACE, {\n id: maskId,\n maskUnits: 'userSpaceOnUse',\n maskContentUnits: 'userSpaceOnUse'\n }),\n children: [maskRect, maskOuterGroup]\n };\n var defs = {\n tag: 'defs',\n children: [{\n tag: 'clipPath',\n attributes: {\n id: clipId\n },\n children: deGroup(maskPath)\n }, maskTag]\n };\n children.push(defs, {\n tag: 'rect',\n attributes: _objectSpread({\n fill: 'currentColor',\n 'clip-path': \"url(#\".concat(clipId, \")\"),\n mask: \"url(#\".concat(maskId, \")\")\n }, ALL_SPACE)\n });\n return {\n children: children,\n attributes: attributes\n };\n}\n\nfunction makeIconStandard (_ref) {\n var children = _ref.children,\n attributes = _ref.attributes,\n main = _ref.main,\n transform = _ref.transform,\n styles = _ref.styles;\n var styleString = joinStyles(styles);\n\n if (styleString.length > 0) {\n attributes['style'] = styleString;\n }\n\n if (transformIsMeaningful(transform)) {\n var trans = transformForSvg({\n transform: transform,\n containerWidth: main.width,\n iconWidth: main.width\n });\n children.push({\n tag: 'g',\n attributes: _objectSpread({}, trans.outer),\n children: [{\n tag: 'g',\n attributes: _objectSpread({}, trans.inner),\n children: [{\n tag: main.icon.tag,\n children: main.icon.children,\n attributes: _objectSpread({}, main.icon.attributes, trans.path)\n }]\n }]\n });\n } else {\n children.push(main.icon);\n }\n\n return {\n children: children,\n attributes: attributes\n };\n}\n\nfunction asIcon (_ref) {\n var children = _ref.children,\n main = _ref.main,\n mask = _ref.mask,\n attributes = _ref.attributes,\n styles = _ref.styles,\n transform = _ref.transform;\n\n if (transformIsMeaningful(transform) && main.found && !mask.found) {\n var width = main.width,\n height = main.height;\n var offset = {\n x: width / height / 2,\n y: 0.5\n };\n attributes['style'] = joinStyles(_objectSpread({}, styles, {\n 'transform-origin': \"\".concat(offset.x + transform.x / 16, \"em \").concat(offset.y + transform.y / 16, \"em\")\n }));\n }\n\n return [{\n tag: 'svg',\n attributes: attributes,\n children: children\n }];\n}\n\nfunction asSymbol (_ref) {\n var prefix = _ref.prefix,\n iconName = _ref.iconName,\n children = _ref.children,\n attributes = _ref.attributes,\n symbol = _ref.symbol;\n var id = symbol === true ? \"\".concat(prefix, \"-\").concat(config.familyPrefix, \"-\").concat(iconName) : symbol;\n return [{\n tag: 'svg',\n attributes: {\n style: 'display: none;'\n },\n children: [{\n tag: 'symbol',\n attributes: _objectSpread({}, attributes, {\n id: id\n }),\n children: children\n }]\n }];\n}\n\nfunction makeInlineSvgAbstract(params) {\n var _params$icons = params.icons,\n main = _params$icons.main,\n mask = _params$icons.mask,\n prefix = params.prefix,\n iconName = params.iconName,\n transform = params.transform,\n symbol = params.symbol,\n title = params.title,\n maskId = params.maskId,\n titleId = params.titleId,\n extra = params.extra,\n _params$watchable = params.watchable,\n watchable = _params$watchable === void 0 ? false : _params$watchable;\n\n var _ref = mask.found ? mask : main,\n width = _ref.width,\n height = _ref.height;\n\n var widthClass = \"fa-w-\".concat(Math.ceil(width / height * 16));\n var attrClass = [config.replacementClass, iconName ? \"\".concat(config.familyPrefix, \"-\").concat(iconName) : '', widthClass].filter(function (c) {\n return extra.classes.indexOf(c) === -1;\n }).concat(extra.classes).join(' ');\n var content = {\n children: [],\n attributes: _objectSpread({}, extra.attributes, {\n 'data-prefix': prefix,\n 'data-icon': iconName,\n 'class': attrClass,\n 'role': extra.attributes.role || 'img',\n 'xmlns': 'http://www.w3.org/2000/svg',\n 'viewBox': \"0 0 \".concat(width, \" \").concat(height)\n })\n };\n\n if (watchable) {\n content.attributes[DATA_FA_I2SVG] = '';\n }\n\n if (title) content.children.push({\n tag: 'title',\n attributes: {\n id: content.attributes['aria-labelledby'] || \"title-\".concat(titleId || nextUniqueId())\n },\n children: [title]\n });\n\n var args = _objectSpread({}, content, {\n prefix: prefix,\n iconName: iconName,\n main: main,\n mask: mask,\n maskId: maskId,\n transform: transform,\n symbol: symbol,\n styles: extra.styles\n });\n\n var _ref2 = mask.found && main.found ? makeIconMasking(args) : makeIconStandard(args),\n children = _ref2.children,\n attributes = _ref2.attributes;\n\n args.children = children;\n args.attributes = attributes;\n\n if (symbol) {\n return asSymbol(args);\n } else {\n return asIcon(args);\n }\n}\nfunction makeLayersTextAbstract(params) {\n var content = params.content,\n width = params.width,\n height = params.height,\n transform = params.transform,\n title = params.title,\n extra = params.extra,\n _params$watchable2 = params.watchable,\n watchable = _params$watchable2 === void 0 ? false : _params$watchable2;\n\n var attributes = _objectSpread({}, extra.attributes, title ? {\n 'title': title\n } : {}, {\n 'class': extra.classes.join(' ')\n });\n\n if (watchable) {\n attributes[DATA_FA_I2SVG] = '';\n }\n\n var styles = _objectSpread({}, extra.styles);\n\n if (transformIsMeaningful(transform)) {\n styles['transform'] = transformForCss({\n transform: transform,\n startCentered: true,\n width: width,\n height: height\n });\n styles['-webkit-transform'] = styles['transform'];\n }\n\n var styleString = joinStyles(styles);\n\n if (styleString.length > 0) {\n attributes['style'] = styleString;\n }\n\n var val = [];\n val.push({\n tag: 'span',\n attributes: attributes,\n children: [content]\n });\n\n if (title) {\n val.push({\n tag: 'span',\n attributes: {\n class: 'sr-only'\n },\n children: [title]\n });\n }\n\n return val;\n}\nfunction makeLayersCounterAbstract(params) {\n var content = params.content,\n title = params.title,\n extra = params.extra;\n\n var attributes = _objectSpread({}, extra.attributes, title ? {\n 'title': title\n } : {}, {\n 'class': extra.classes.join(' ')\n });\n\n var styleString = joinStyles(extra.styles);\n\n if (styleString.length > 0) {\n attributes['style'] = styleString;\n }\n\n var val = [];\n val.push({\n tag: 'span',\n attributes: attributes,\n children: [content]\n });\n\n if (title) {\n val.push({\n tag: 'span',\n attributes: {\n class: 'sr-only'\n },\n children: [title]\n });\n }\n\n return val;\n}\n\nvar noop$1 = function noop() {};\n\nvar p = config.measurePerformance && PERFORMANCE && PERFORMANCE.mark && PERFORMANCE.measure ? PERFORMANCE : {\n mark: noop$1,\n measure: noop$1\n};\nvar preamble = \"FA \\\"5.13.0\\\"\";\n\nvar begin = function begin(name) {\n p.mark(\"\".concat(preamble, \" \").concat(name, \" begins\"));\n return function () {\n return end(name);\n };\n};\n\nvar end = function end(name) {\n p.mark(\"\".concat(preamble, \" \").concat(name, \" ends\"));\n p.measure(\"\".concat(preamble, \" \").concat(name), \"\".concat(preamble, \" \").concat(name, \" begins\"), \"\".concat(preamble, \" \").concat(name, \" ends\"));\n};\n\nvar perf = {\n begin: begin,\n end: end\n};\n\n/**\n * Internal helper to bind a function known to have 4 arguments\n * to a given context.\n */\n\nvar bindInternal4 = function bindInternal4(func, thisContext) {\n return function (a, b, c, d) {\n return func.call(thisContext, a, b, c, d);\n };\n};\n\n/**\n * # Reduce\n *\n * A fast object `.reduce()` implementation.\n *\n * @param {Object} subject The object to reduce over.\n * @param {Function} fn The reducer function.\n * @param {mixed} initialValue The initial value for the reducer, defaults to subject[0].\n * @param {Object} thisContext The context for the reducer.\n * @return {mixed} The final result.\n */\n\n\nvar reduce = function fastReduceObject(subject, fn, initialValue, thisContext) {\n var keys = Object.keys(subject),\n length = keys.length,\n iterator = thisContext !== undefined ? bindInternal4(fn, thisContext) : fn,\n i,\n key,\n result;\n\n if (initialValue === undefined) {\n i = 1;\n result = subject[keys[0]];\n } else {\n i = 0;\n result = initialValue;\n }\n\n for (; i < length; i++) {\n key = keys[i];\n result = iterator(result, subject[key], key, subject);\n }\n\n return result;\n};\n\nfunction toHex(unicode) {\n var result = '';\n\n for (var i = 0; i < unicode.length; i++) {\n var hex = unicode.charCodeAt(i).toString(16);\n result += ('000' + hex).slice(-4);\n }\n\n return result;\n}\n\nfunction defineIcons(prefix, icons) {\n var params = arguments.length > 2 && arguments[2] !== undefined ? arguments[2] : {};\n var _params$skipHooks = params.skipHooks,\n skipHooks = _params$skipHooks === void 0 ? false : _params$skipHooks;\n var normalized = Object.keys(icons).reduce(function (acc, iconName) {\n var icon = icons[iconName];\n var expanded = !!icon.icon;\n\n if (expanded) {\n acc[icon.iconName] = icon.icon;\n } else {\n acc[iconName] = icon;\n }\n\n return acc;\n }, {});\n\n if (typeof namespace.hooks.addPack === 'function' && !skipHooks) {\n namespace.hooks.addPack(prefix, normalized);\n } else {\n namespace.styles[prefix] = _objectSpread({}, namespace.styles[prefix] || {}, normalized);\n }\n /**\n * Font Awesome 4 used the prefix of `fa` for all icons. With the introduction\n * of new styles we needed to differentiate between them. Prefix `fa` is now an alias\n * for `fas` so we'll easy the upgrade process for our users by automatically defining\n * this as well.\n */\n\n\n if (prefix === 'fas') {\n defineIcons('fa', icons);\n }\n}\n\nvar styles = namespace.styles,\n shims = namespace.shims;\nvar _byUnicode = {};\nvar _byLigature = {};\nvar _byOldName = {};\nvar build = function build() {\n var lookup = function lookup(reducer) {\n return reduce(styles, function (o, style, prefix) {\n o[prefix] = reduce(style, reducer, {});\n return o;\n }, {});\n };\n\n _byUnicode = lookup(function (acc, icon, iconName) {\n if (icon[3]) {\n acc[icon[3]] = iconName;\n }\n\n return acc;\n });\n _byLigature = lookup(function (acc, icon, iconName) {\n var ligatures = icon[2];\n acc[iconName] = iconName;\n ligatures.forEach(function (ligature) {\n acc[ligature] = iconName;\n });\n return acc;\n });\n var hasRegular = 'far' in styles;\n _byOldName = reduce(shims, function (acc, shim) {\n var oldName = shim[0];\n var prefix = shim[1];\n var iconName = shim[2];\n\n if (prefix === 'far' && !hasRegular) {\n prefix = 'fas';\n }\n\n acc[oldName] = {\n prefix: prefix,\n iconName: iconName\n };\n return acc;\n }, {});\n};\nbuild();\nfunction byUnicode(prefix, unicode) {\n return (_byUnicode[prefix] || {})[unicode];\n}\nfunction byLigature(prefix, ligature) {\n return (_byLigature[prefix] || {})[ligature];\n}\nfunction byOldName(name) {\n return _byOldName[name] || {\n prefix: null,\n iconName: null\n };\n}\n\nvar styles$1 = namespace.styles;\nvar emptyCanonicalIcon = function emptyCanonicalIcon() {\n return {\n prefix: null,\n iconName: null,\n rest: []\n };\n};\nfunction getCanonicalIcon(values) {\n return values.reduce(function (acc, cls) {\n var iconName = getIconName(config.familyPrefix, cls);\n\n if (styles$1[cls]) {\n acc.prefix = cls;\n } else if (config.autoFetchSvg && ['fas', 'far', 'fal', 'fad', 'fab', 'fa'].indexOf(cls) > -1) {\n acc.prefix = cls;\n } else if (iconName) {\n var shim = acc.prefix === 'fa' ? byOldName(iconName) : {};\n acc.iconName = shim.iconName || iconName;\n acc.prefix = shim.prefix || acc.prefix;\n } else if (cls !== config.replacementClass && cls.indexOf('fa-w-') !== 0) {\n acc.rest.push(cls);\n }\n\n return acc;\n }, emptyCanonicalIcon());\n}\nfunction iconFromMapping(mapping, prefix, iconName) {\n if (mapping && mapping[prefix] && mapping[prefix][iconName]) {\n return {\n prefix: prefix,\n iconName: iconName,\n icon: mapping[prefix][iconName]\n };\n }\n}\n\nfunction toHtml(abstractNodes) {\n var tag = abstractNodes.tag,\n _abstractNodes$attrib = abstractNodes.attributes,\n attributes = _abstractNodes$attrib === void 0 ? {} : _abstractNodes$attrib,\n _abstractNodes$childr = abstractNodes.children,\n children = _abstractNodes$childr === void 0 ? [] : _abstractNodes$childr;\n\n if (typeof abstractNodes === 'string') {\n return htmlEscape(abstractNodes);\n } else {\n return \"<\".concat(tag, \" \").concat(joinAttributes(attributes), \">\").concat(children.map(toHtml).join(''), \"\");\n }\n}\n\nvar noop$2 = function noop() {};\n\nfunction isWatched(node) {\n var i2svg = node.getAttribute ? node.getAttribute(DATA_FA_I2SVG) : null;\n return typeof i2svg === 'string';\n}\n\nfunction getMutator() {\n if (config.autoReplaceSvg === true) {\n return mutators.replace;\n }\n\n var mutator = mutators[config.autoReplaceSvg];\n return mutator || mutators.replace;\n}\n\nvar mutators = {\n replace: function replace(mutation) {\n var node = mutation[0];\n var abstract = mutation[1];\n var newOuterHTML = abstract.map(function (a) {\n return toHtml(a);\n }).join('\\n');\n\n if (node.parentNode && node.outerHTML) {\n node.outerHTML = newOuterHTML + (config.keepOriginalSource && node.tagName.toLowerCase() !== 'svg' ? \"\") : '');\n } else if (node.parentNode) {\n var newNode = document.createElement('span');\n node.parentNode.replaceChild(newNode, node);\n newNode.outerHTML = newOuterHTML;\n }\n },\n nest: function nest(mutation) {\n var node = mutation[0];\n var abstract = mutation[1]; // If we already have a replaced node we do not want to continue nesting within it.\n // Short-circuit to the standard replacement\n\n if (~classArray(node).indexOf(config.replacementClass)) {\n return mutators.replace(mutation);\n }\n\n var forSvg = new RegExp(\"\".concat(config.familyPrefix, \"-.*\"));\n delete abstract[0].attributes.style;\n delete abstract[0].attributes.id;\n var splitClasses = abstract[0].attributes.class.split(' ').reduce(function (acc, cls) {\n if (cls === config.replacementClass || cls.match(forSvg)) {\n acc.toSvg.push(cls);\n } else {\n acc.toNode.push(cls);\n }\n\n return acc;\n }, {\n toNode: [],\n toSvg: []\n });\n abstract[0].attributes.class = splitClasses.toSvg.join(' ');\n var newInnerHTML = abstract.map(function (a) {\n return toHtml(a);\n }).join('\\n');\n node.setAttribute('class', splitClasses.toNode.join(' '));\n node.setAttribute(DATA_FA_I2SVG, '');\n node.innerHTML = newInnerHTML;\n }\n};\n\nfunction performOperationSync(op) {\n op();\n}\n\nfunction perform(mutations, callback) {\n var callbackFunction = typeof callback === 'function' ? callback : noop$2;\n\n if (mutations.length === 0) {\n callbackFunction();\n } else {\n var frame = performOperationSync;\n\n if (config.mutateApproach === MUTATION_APPROACH_ASYNC) {\n frame = WINDOW.requestAnimationFrame || performOperationSync;\n }\n\n frame(function () {\n var mutator = getMutator();\n var mark = perf.begin('mutate');\n mutations.map(mutator);\n mark();\n callbackFunction();\n });\n }\n}\nvar disabled = false;\nfunction disableObservation() {\n disabled = true;\n}\nfunction enableObservation() {\n disabled = false;\n}\nvar mo = null;\nfunction observe(options) {\n if (!MUTATION_OBSERVER) {\n return;\n }\n\n if (!config.observeMutations) {\n return;\n }\n\n var treeCallback = options.treeCallback,\n nodeCallback = options.nodeCallback,\n pseudoElementsCallback = options.pseudoElementsCallback,\n _options$observeMutat = options.observeMutationsRoot,\n observeMutationsRoot = _options$observeMutat === void 0 ? DOCUMENT : _options$observeMutat;\n mo = new MUTATION_OBSERVER(function (objects) {\n if (disabled) return;\n toArray(objects).forEach(function (mutationRecord) {\n if (mutationRecord.type === 'childList' && mutationRecord.addedNodes.length > 0 && !isWatched(mutationRecord.addedNodes[0])) {\n if (config.searchPseudoElements) {\n pseudoElementsCallback(mutationRecord.target);\n }\n\n treeCallback(mutationRecord.target);\n }\n\n if (mutationRecord.type === 'attributes' && mutationRecord.target.parentNode && config.searchPseudoElements) {\n pseudoElementsCallback(mutationRecord.target.parentNode);\n }\n\n if (mutationRecord.type === 'attributes' && isWatched(mutationRecord.target) && ~ATTRIBUTES_WATCHED_FOR_MUTATION.indexOf(mutationRecord.attributeName)) {\n if (mutationRecord.attributeName === 'class') {\n var _getCanonicalIcon = getCanonicalIcon(classArray(mutationRecord.target)),\n prefix = _getCanonicalIcon.prefix,\n iconName = _getCanonicalIcon.iconName;\n\n if (prefix) mutationRecord.target.setAttribute('data-prefix', prefix);\n if (iconName) mutationRecord.target.setAttribute('data-icon', iconName);\n } else {\n nodeCallback(mutationRecord.target);\n }\n }\n });\n });\n if (!IS_DOM) return;\n mo.observe(observeMutationsRoot, {\n childList: true,\n attributes: true,\n characterData: true,\n subtree: true\n });\n}\nfunction disconnect() {\n if (!mo) return;\n mo.disconnect();\n}\n\nfunction styleParser (node) {\n var style = node.getAttribute('style');\n var val = [];\n\n if (style) {\n val = style.split(';').reduce(function (acc, style) {\n var styles = style.split(':');\n var prop = styles[0];\n var value = styles.slice(1);\n\n if (prop && value.length > 0) {\n acc[prop] = value.join(':').trim();\n }\n\n return acc;\n }, {});\n }\n\n return val;\n}\n\nfunction classParser (node) {\n var existingPrefix = node.getAttribute('data-prefix');\n var existingIconName = node.getAttribute('data-icon');\n var innerText = node.innerText !== undefined ? node.innerText.trim() : '';\n var val = getCanonicalIcon(classArray(node));\n\n if (existingPrefix && existingIconName) {\n val.prefix = existingPrefix;\n val.iconName = existingIconName;\n }\n\n if (val.prefix && innerText.length > 1) {\n val.iconName = byLigature(val.prefix, node.innerText);\n } else if (val.prefix && innerText.length === 1) {\n val.iconName = byUnicode(val.prefix, toHex(node.innerText));\n }\n\n return val;\n}\n\nvar parseTransformString = function parseTransformString(transformString) {\n var transform = {\n size: 16,\n x: 0,\n y: 0,\n flipX: false,\n flipY: false,\n rotate: 0\n };\n\n if (!transformString) {\n return transform;\n } else {\n return transformString.toLowerCase().split(' ').reduce(function (acc, n) {\n var parts = n.toLowerCase().split('-');\n var first = parts[0];\n var rest = parts.slice(1).join('-');\n\n if (first && rest === 'h') {\n acc.flipX = true;\n return acc;\n }\n\n if (first && rest === 'v') {\n acc.flipY = true;\n return acc;\n }\n\n rest = parseFloat(rest);\n\n if (isNaN(rest)) {\n return acc;\n }\n\n switch (first) {\n case 'grow':\n acc.size = acc.size + rest;\n break;\n\n case 'shrink':\n acc.size = acc.size - rest;\n break;\n\n case 'left':\n acc.x = acc.x - rest;\n break;\n\n case 'right':\n acc.x = acc.x + rest;\n break;\n\n case 'up':\n acc.y = acc.y - rest;\n break;\n\n case 'down':\n acc.y = acc.y + rest;\n break;\n\n case 'rotate':\n acc.rotate = acc.rotate + rest;\n break;\n }\n\n return acc;\n }, transform);\n }\n};\nfunction transformParser (node) {\n return parseTransformString(node.getAttribute('data-fa-transform'));\n}\n\nfunction symbolParser (node) {\n var symbol = node.getAttribute('data-fa-symbol');\n return symbol === null ? false : symbol === '' ? true : symbol;\n}\n\nfunction attributesParser (node) {\n var extraAttributes = toArray(node.attributes).reduce(function (acc, attr) {\n if (acc.name !== 'class' && acc.name !== 'style') {\n acc[attr.name] = attr.value;\n }\n\n return acc;\n }, {});\n var title = node.getAttribute('title');\n var titleId = node.getAttribute('data-fa-title-id');\n\n if (config.autoA11y) {\n if (title) {\n extraAttributes['aria-labelledby'] = \"\".concat(config.replacementClass, \"-title-\").concat(titleId || nextUniqueId());\n } else {\n extraAttributes['aria-hidden'] = 'true';\n extraAttributes['focusable'] = 'false';\n }\n }\n\n return extraAttributes;\n}\n\nfunction maskParser (node) {\n var mask = node.getAttribute('data-fa-mask');\n\n if (!mask) {\n return emptyCanonicalIcon();\n } else {\n return getCanonicalIcon(mask.split(' ').map(function (i) {\n return i.trim();\n }));\n }\n}\n\nfunction blankMeta() {\n return {\n iconName: null,\n title: null,\n titleId: null,\n prefix: null,\n transform: meaninglessTransform,\n symbol: false,\n mask: null,\n maskId: null,\n extra: {\n classes: [],\n styles: {},\n attributes: {}\n }\n };\n}\nfunction parseMeta(node) {\n var _classParser = classParser(node),\n iconName = _classParser.iconName,\n prefix = _classParser.prefix,\n extraClasses = _classParser.rest;\n\n var extraStyles = styleParser(node);\n var transform = transformParser(node);\n var symbol = symbolParser(node);\n var extraAttributes = attributesParser(node);\n var mask = maskParser(node);\n return {\n iconName: iconName,\n title: node.getAttribute('title'),\n titleId: node.getAttribute('data-fa-title-id'),\n prefix: prefix,\n transform: transform,\n symbol: symbol,\n mask: mask,\n maskId: node.getAttribute('data-fa-mask-id'),\n extra: {\n classes: extraClasses,\n styles: extraStyles,\n attributes: extraAttributes\n }\n };\n}\n\nfunction MissingIcon(error) {\n this.name = 'MissingIcon';\n this.message = error || 'Icon unavailable';\n this.stack = new Error().stack;\n}\nMissingIcon.prototype = Object.create(Error.prototype);\nMissingIcon.prototype.constructor = MissingIcon;\n\nvar FILL = {\n fill: 'currentColor'\n};\nvar ANIMATION_BASE = {\n attributeType: 'XML',\n repeatCount: 'indefinite',\n dur: '2s'\n};\nvar RING = {\n tag: 'path',\n attributes: _objectSpread({}, FILL, {\n d: 'M156.5,447.7l-12.6,29.5c-18.7-9.5-35.9-21.2-51.5-34.9l22.7-22.7C127.6,430.5,141.5,440,156.5,447.7z M40.6,272H8.5 c1.4,21.2,5.4,41.7,11.7,61.1L50,321.2C45.1,305.5,41.8,289,40.6,272z M40.6,240c1.4-18.8,5.2-37,11.1-54.1l-29.5-12.6 C14.7,194.3,10,216.7,8.5,240H40.6z M64.3,156.5c7.8-14.9,17.2-28.8,28.1-41.5L69.7,92.3c-13.7,15.6-25.5,32.8-34.9,51.5 L64.3,156.5z M397,419.6c-13.9,12-29.4,22.3-46.1,30.4l11.9,29.8c20.7-9.9,39.8-22.6,56.9-37.6L397,419.6z M115,92.4 c13.9-12,29.4-22.3,46.1-30.4l-11.9-29.8c-20.7,9.9-39.8,22.6-56.8,37.6L115,92.4z M447.7,355.5c-7.8,14.9-17.2,28.8-28.1,41.5 l22.7,22.7c13.7-15.6,25.5-32.9,34.9-51.5L447.7,355.5z M471.4,272c-1.4,18.8-5.2,37-11.1,54.1l29.5,12.6 c7.5-21.1,12.2-43.5,13.6-66.8H471.4z M321.2,462c-15.7,5-32.2,8.2-49.2,9.4v32.1c21.2-1.4,41.7-5.4,61.1-11.7L321.2,462z M240,471.4c-18.8-1.4-37-5.2-54.1-11.1l-12.6,29.5c21.1,7.5,43.5,12.2,66.8,13.6V471.4z M462,190.8c5,15.7,8.2,32.2,9.4,49.2h32.1 c-1.4-21.2-5.4-41.7-11.7-61.1L462,190.8z M92.4,397c-12-13.9-22.3-29.4-30.4-46.1l-29.8,11.9c9.9,20.7,22.6,39.8,37.6,56.9 L92.4,397z M272,40.6c18.8,1.4,36.9,5.2,54.1,11.1l12.6-29.5C317.7,14.7,295.3,10,272,8.5V40.6z M190.8,50 c15.7-5,32.2-8.2,49.2-9.4V8.5c-21.2,1.4-41.7,5.4-61.1,11.7L190.8,50z M442.3,92.3L419.6,115c12,13.9,22.3,29.4,30.5,46.1 l29.8-11.9C470,128.5,457.3,109.4,442.3,92.3z M397,92.4l22.7-22.7c-15.6-13.7-32.8-25.5-51.5-34.9l-12.6,29.5 C370.4,72.1,384.4,81.5,397,92.4z'\n })\n};\n\nvar OPACITY_ANIMATE = _objectSpread({}, ANIMATION_BASE, {\n attributeName: 'opacity'\n});\n\nvar DOT = {\n tag: 'circle',\n attributes: _objectSpread({}, FILL, {\n cx: '256',\n cy: '364',\n r: '28'\n }),\n children: [{\n tag: 'animate',\n attributes: _objectSpread({}, ANIMATION_BASE, {\n attributeName: 'r',\n values: '28;14;28;28;14;28;'\n })\n }, {\n tag: 'animate',\n attributes: _objectSpread({}, OPACITY_ANIMATE, {\n values: '1;0;1;1;0;1;'\n })\n }]\n};\nvar QUESTION = {\n tag: 'path',\n attributes: _objectSpread({}, FILL, {\n opacity: '1',\n d: 'M263.7,312h-16c-6.6,0-12-5.4-12-12c0-71,77.4-63.9,77.4-107.8c0-20-17.8-40.2-57.4-40.2c-29.1,0-44.3,9.6-59.2,28.7 c-3.9,5-11.1,6-16.2,2.4l-13.1-9.2c-5.6-3.9-6.9-11.8-2.6-17.2c21.2-27.2,46.4-44.7,91.2-44.7c52.3,0,97.4,29.8,97.4,80.2 c0,67.6-77.4,63.5-77.4,107.8C275.7,306.6,270.3,312,263.7,312z'\n }),\n children: [{\n tag: 'animate',\n attributes: _objectSpread({}, OPACITY_ANIMATE, {\n values: '1;0;0;0;0;1;'\n })\n }]\n};\nvar EXCLAMATION = {\n tag: 'path',\n attributes: _objectSpread({}, FILL, {\n opacity: '0',\n d: 'M232.5,134.5l7,168c0.3,6.4,5.6,11.5,12,11.5h9c6.4,0,11.7-5.1,12-11.5l7-168c0.3-6.8-5.2-12.5-12-12.5h-23 C237.7,122,232.2,127.7,232.5,134.5z'\n }),\n children: [{\n tag: 'animate',\n attributes: _objectSpread({}, OPACITY_ANIMATE, {\n values: '0;0;1;1;0;0;'\n })\n }]\n};\nvar missing = {\n tag: 'g',\n children: [RING, DOT, QUESTION, EXCLAMATION]\n};\n\nvar styles$2 = namespace.styles;\nfunction asFoundIcon(icon) {\n var width = icon[0];\n var height = icon[1];\n\n var _icon$slice = icon.slice(4),\n _icon$slice2 = _slicedToArray(_icon$slice, 1),\n vectorData = _icon$slice2[0];\n\n var element = null;\n\n if (Array.isArray(vectorData)) {\n element = {\n tag: 'g',\n attributes: {\n class: \"\".concat(config.familyPrefix, \"-\").concat(DUOTONE_CLASSES.GROUP)\n },\n children: [{\n tag: 'path',\n attributes: {\n class: \"\".concat(config.familyPrefix, \"-\").concat(DUOTONE_CLASSES.SECONDARY),\n fill: 'currentColor',\n d: vectorData[0]\n }\n }, {\n tag: 'path',\n attributes: {\n class: \"\".concat(config.familyPrefix, \"-\").concat(DUOTONE_CLASSES.PRIMARY),\n fill: 'currentColor',\n d: vectorData[1]\n }\n }]\n };\n } else {\n element = {\n tag: 'path',\n attributes: {\n fill: 'currentColor',\n d: vectorData\n }\n };\n }\n\n return {\n found: true,\n width: width,\n height: height,\n icon: element\n };\n}\nfunction findIcon(iconName, prefix) {\n return new picked(function (resolve, reject) {\n var val = {\n found: false,\n width: 512,\n height: 512,\n icon: missing\n };\n\n if (iconName && prefix && styles$2[prefix] && styles$2[prefix][iconName]) {\n var icon = styles$2[prefix][iconName];\n return resolve(asFoundIcon(icon));\n }\n\n var headers = {};\n\n if (_typeof(WINDOW.FontAwesomeKitConfig) === 'object' && typeof window.FontAwesomeKitConfig.token === 'string') {\n headers['fa-kit-token'] = WINDOW.FontAwesomeKitConfig.token;\n }\n\n if (iconName && prefix && !config.showMissingIcons) {\n reject(new MissingIcon(\"Icon is missing for prefix \".concat(prefix, \" with icon name \").concat(iconName)));\n } else {\n resolve(val);\n }\n });\n}\n\nvar styles$3 = namespace.styles;\n\nfunction generateSvgReplacementMutation(node, nodeMeta) {\n var iconName = nodeMeta.iconName,\n title = nodeMeta.title,\n titleId = nodeMeta.titleId,\n prefix = nodeMeta.prefix,\n transform = nodeMeta.transform,\n symbol = nodeMeta.symbol,\n mask = nodeMeta.mask,\n maskId = nodeMeta.maskId,\n extra = nodeMeta.extra;\n return new picked(function (resolve, reject) {\n picked.all([findIcon(iconName, prefix), findIcon(mask.iconName, mask.prefix)]).then(function (_ref) {\n var _ref2 = _slicedToArray(_ref, 2),\n main = _ref2[0],\n mask = _ref2[1];\n\n resolve([node, makeInlineSvgAbstract({\n icons: {\n main: main,\n mask: mask\n },\n prefix: prefix,\n iconName: iconName,\n transform: transform,\n symbol: symbol,\n mask: mask,\n maskId: maskId,\n title: title,\n titleId: titleId,\n extra: extra,\n watchable: true\n })]);\n });\n });\n}\n\nfunction generateLayersText(node, nodeMeta) {\n var title = nodeMeta.title,\n transform = nodeMeta.transform,\n extra = nodeMeta.extra;\n var width = null;\n var height = null;\n\n if (IS_IE) {\n var computedFontSize = parseInt(getComputedStyle(node).fontSize, 10);\n var boundingClientRect = node.getBoundingClientRect();\n width = boundingClientRect.width / computedFontSize;\n height = boundingClientRect.height / computedFontSize;\n }\n\n if (config.autoA11y && !title) {\n extra.attributes['aria-hidden'] = 'true';\n }\n\n return picked.resolve([node, makeLayersTextAbstract({\n content: node.innerHTML,\n width: width,\n height: height,\n transform: transform,\n title: title,\n extra: extra,\n watchable: true\n })]);\n}\n\nfunction generateMutation(node) {\n var nodeMeta = parseMeta(node);\n\n if (~nodeMeta.extra.classes.indexOf(LAYERS_TEXT_CLASSNAME)) {\n return generateLayersText(node, nodeMeta);\n } else {\n return generateSvgReplacementMutation(node, nodeMeta);\n }\n}\n\nfunction onTree(root) {\n var callback = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : null;\n if (!IS_DOM) return;\n var htmlClassList = DOCUMENT.documentElement.classList;\n\n var hclAdd = function hclAdd(suffix) {\n return htmlClassList.add(\"\".concat(HTML_CLASS_I2SVG_BASE_CLASS, \"-\").concat(suffix));\n };\n\n var hclRemove = function hclRemove(suffix) {\n return htmlClassList.remove(\"\".concat(HTML_CLASS_I2SVG_BASE_CLASS, \"-\").concat(suffix));\n };\n\n var prefixes = config.autoFetchSvg ? Object.keys(PREFIX_TO_STYLE) : Object.keys(styles$3);\n var prefixesDomQuery = [\".\".concat(LAYERS_TEXT_CLASSNAME, \":not([\").concat(DATA_FA_I2SVG, \"])\")].concat(prefixes.map(function (p) {\n return \".\".concat(p, \":not([\").concat(DATA_FA_I2SVG, \"])\");\n })).join(', ');\n\n if (prefixesDomQuery.length === 0) {\n return;\n }\n\n var candidates = [];\n\n try {\n candidates = toArray(root.querySelectorAll(prefixesDomQuery));\n } catch (e) {// noop\n }\n\n if (candidates.length > 0) {\n hclAdd('pending');\n hclRemove('complete');\n } else {\n return;\n }\n\n var mark = perf.begin('onTree');\n var mutations = candidates.reduce(function (acc, node) {\n try {\n var mutation = generateMutation(node);\n\n if (mutation) {\n acc.push(mutation);\n }\n } catch (e) {\n if (!PRODUCTION) {\n if (e instanceof MissingIcon) {\n console.error(e);\n }\n }\n }\n\n return acc;\n }, []);\n return new picked(function (resolve, reject) {\n picked.all(mutations).then(function (resolvedMutations) {\n perform(resolvedMutations, function () {\n hclAdd('active');\n hclAdd('complete');\n hclRemove('pending');\n if (typeof callback === 'function') callback();\n mark();\n resolve();\n });\n }).catch(function () {\n mark();\n reject();\n });\n });\n}\nfunction onNode(node) {\n var callback = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : null;\n generateMutation(node).then(function (mutation) {\n if (mutation) {\n perform([mutation], callback);\n }\n });\n}\n\nfunction replaceForPosition(node, position) {\n var pendingAttribute = \"\".concat(DATA_FA_PSEUDO_ELEMENT_PENDING).concat(position.replace(':', '-'));\n return new picked(function (resolve, reject) {\n if (node.getAttribute(pendingAttribute) !== null) {\n // This node is already being processed\n return resolve();\n }\n\n var children = toArray(node.children);\n var alreadyProcessedPseudoElement = children.filter(function (c) {\n return c.getAttribute(DATA_FA_PSEUDO_ELEMENT) === position;\n })[0];\n var styles = WINDOW.getComputedStyle(node, position);\n var fontFamily = styles.getPropertyValue('font-family').match(FONT_FAMILY_PATTERN);\n var fontWeight = styles.getPropertyValue('font-weight');\n var content = styles.getPropertyValue('content');\n\n if (alreadyProcessedPseudoElement && !fontFamily) {\n // If we've already processed it but the current computed style does not result in a font-family,\n // that probably means that a class name that was previously present to make the icon has been\n // removed. So we now should delete the icon.\n node.removeChild(alreadyProcessedPseudoElement);\n return resolve();\n } else if (fontFamily && content !== 'none' && content !== '') {\n var prefix = ~['Solid', 'Regular', 'Light', 'Duotone', 'Brands'].indexOf(fontFamily[1]) ? STYLE_TO_PREFIX[fontFamily[1].toLowerCase()] : FONT_WEIGHT_TO_PREFIX[fontWeight];\n var hexValue = toHex(content.length === 3 ? content.substr(1, 1) : content);\n var iconName = byUnicode(prefix, hexValue);\n var iconIdentifier = iconName; // Only convert the pseudo element in this :before/:after position into an icon if we haven't\n // already done so with the same prefix and iconName\n\n if (iconName && (!alreadyProcessedPseudoElement || alreadyProcessedPseudoElement.getAttribute(DATA_PREFIX) !== prefix || alreadyProcessedPseudoElement.getAttribute(DATA_ICON) !== iconIdentifier)) {\n node.setAttribute(pendingAttribute, iconIdentifier);\n\n if (alreadyProcessedPseudoElement) {\n // Delete the old one, since we're replacing it with a new one\n node.removeChild(alreadyProcessedPseudoElement);\n }\n\n var meta = blankMeta();\n var extra = meta.extra;\n extra.attributes[DATA_FA_PSEUDO_ELEMENT] = position;\n findIcon(iconName, prefix).then(function (main) {\n var abstract = makeInlineSvgAbstract(_objectSpread({}, meta, {\n icons: {\n main: main,\n mask: emptyCanonicalIcon()\n },\n prefix: prefix,\n iconName: iconIdentifier,\n extra: extra,\n watchable: true\n }));\n var element = DOCUMENT.createElement('svg');\n\n if (position === ':before') {\n node.insertBefore(element, node.firstChild);\n } else {\n node.appendChild(element);\n }\n\n element.outerHTML = abstract.map(function (a) {\n return toHtml(a);\n }).join('\\n');\n node.removeAttribute(pendingAttribute);\n resolve();\n }).catch(reject);\n } else {\n resolve();\n }\n } else {\n resolve();\n }\n });\n}\n\nfunction replace(node) {\n return picked.all([replaceForPosition(node, ':before'), replaceForPosition(node, ':after')]);\n}\n\nfunction processable(node) {\n return node.parentNode !== document.head && !~TAGNAMES_TO_SKIP_FOR_PSEUDOELEMENTS.indexOf(node.tagName.toUpperCase()) && !node.getAttribute(DATA_FA_PSEUDO_ELEMENT) && (!node.parentNode || node.parentNode.tagName !== 'svg');\n}\n\nfunction searchPseudoElements (root) {\n if (!IS_DOM) return;\n return new picked(function (resolve, reject) {\n var operations = toArray(root.querySelectorAll('*')).filter(processable).map(replace);\n var end = perf.begin('searchPseudoElements');\n disableObservation();\n picked.all(operations).then(function () {\n end();\n enableObservation();\n resolve();\n }).catch(function () {\n end();\n enableObservation();\n reject();\n });\n });\n}\n\nvar baseStyles = \"svg:not(:root).svg-inline--fa {\\n overflow: visible;\\n}\\n\\n.svg-inline--fa {\\n display: inline-block;\\n font-size: inherit;\\n height: 1em;\\n overflow: visible;\\n vertical-align: -0.125em;\\n}\\n.svg-inline--fa.fa-lg {\\n vertical-align: -0.225em;\\n}\\n.svg-inline--fa.fa-w-1 {\\n width: 0.0625em;\\n}\\n.svg-inline--fa.fa-w-2 {\\n width: 0.125em;\\n}\\n.svg-inline--fa.fa-w-3 {\\n width: 0.1875em;\\n}\\n.svg-inline--fa.fa-w-4 {\\n width: 0.25em;\\n}\\n.svg-inline--fa.fa-w-5 {\\n width: 0.3125em;\\n}\\n.svg-inline--fa.fa-w-6 {\\n width: 0.375em;\\n}\\n.svg-inline--fa.fa-w-7 {\\n width: 0.4375em;\\n}\\n.svg-inline--fa.fa-w-8 {\\n width: 0.5em;\\n}\\n.svg-inline--fa.fa-w-9 {\\n width: 0.5625em;\\n}\\n.svg-inline--fa.fa-w-10 {\\n width: 0.625em;\\n}\\n.svg-inline--fa.fa-w-11 {\\n width: 0.6875em;\\n}\\n.svg-inline--fa.fa-w-12 {\\n width: 0.75em;\\n}\\n.svg-inline--fa.fa-w-13 {\\n width: 0.8125em;\\n}\\n.svg-inline--fa.fa-w-14 {\\n width: 0.875em;\\n}\\n.svg-inline--fa.fa-w-15 {\\n width: 0.9375em;\\n}\\n.svg-inline--fa.fa-w-16 {\\n width: 1em;\\n}\\n.svg-inline--fa.fa-w-17 {\\n width: 1.0625em;\\n}\\n.svg-inline--fa.fa-w-18 {\\n width: 1.125em;\\n}\\n.svg-inline--fa.fa-w-19 {\\n width: 1.1875em;\\n}\\n.svg-inline--fa.fa-w-20 {\\n width: 1.25em;\\n}\\n.svg-inline--fa.fa-pull-left {\\n margin-right: 0.3em;\\n width: auto;\\n}\\n.svg-inline--fa.fa-pull-right {\\n margin-left: 0.3em;\\n width: auto;\\n}\\n.svg-inline--fa.fa-border {\\n height: 1.5em;\\n}\\n.svg-inline--fa.fa-li {\\n width: 2em;\\n}\\n.svg-inline--fa.fa-fw {\\n width: 1.25em;\\n}\\n\\n.fa-layers svg.svg-inline--fa {\\n bottom: 0;\\n left: 0;\\n margin: auto;\\n position: absolute;\\n right: 0;\\n top: 0;\\n}\\n\\n.fa-layers {\\n display: inline-block;\\n height: 1em;\\n position: relative;\\n text-align: center;\\n vertical-align: -0.125em;\\n width: 1em;\\n}\\n.fa-layers svg.svg-inline--fa {\\n -webkit-transform-origin: center center;\\n transform-origin: center center;\\n}\\n\\n.fa-layers-counter, .fa-layers-text {\\n display: inline-block;\\n position: absolute;\\n text-align: center;\\n}\\n\\n.fa-layers-text {\\n left: 50%;\\n top: 50%;\\n -webkit-transform: translate(-50%, -50%);\\n transform: translate(-50%, -50%);\\n -webkit-transform-origin: center center;\\n transform-origin: center center;\\n}\\n\\n.fa-layers-counter {\\n background-color: #ff253a;\\n border-radius: 1em;\\n -webkit-box-sizing: border-box;\\n box-sizing: border-box;\\n color: #fff;\\n height: 1.5em;\\n line-height: 1;\\n max-width: 5em;\\n min-width: 1.5em;\\n overflow: hidden;\\n padding: 0.25em;\\n right: 0;\\n text-overflow: ellipsis;\\n top: 0;\\n -webkit-transform: scale(0.25);\\n transform: scale(0.25);\\n -webkit-transform-origin: top right;\\n transform-origin: top right;\\n}\\n\\n.fa-layers-bottom-right {\\n bottom: 0;\\n right: 0;\\n top: auto;\\n -webkit-transform: scale(0.25);\\n transform: scale(0.25);\\n -webkit-transform-origin: bottom right;\\n transform-origin: bottom right;\\n}\\n\\n.fa-layers-bottom-left {\\n bottom: 0;\\n left: 0;\\n right: auto;\\n top: auto;\\n -webkit-transform: scale(0.25);\\n transform: scale(0.25);\\n -webkit-transform-origin: bottom left;\\n transform-origin: bottom left;\\n}\\n\\n.fa-layers-top-right {\\n right: 0;\\n top: 0;\\n -webkit-transform: scale(0.25);\\n transform: scale(0.25);\\n -webkit-transform-origin: top right;\\n transform-origin: top right;\\n}\\n\\n.fa-layers-top-left {\\n left: 0;\\n right: auto;\\n top: 0;\\n -webkit-transform: scale(0.25);\\n transform: scale(0.25);\\n -webkit-transform-origin: top left;\\n transform-origin: top left;\\n}\\n\\n.fa-lg {\\n font-size: 1.3333333333em;\\n line-height: 0.75em;\\n vertical-align: -0.0667em;\\n}\\n\\n.fa-xs {\\n font-size: 0.75em;\\n}\\n\\n.fa-sm {\\n font-size: 0.875em;\\n}\\n\\n.fa-1x {\\n font-size: 1em;\\n}\\n\\n.fa-2x {\\n font-size: 2em;\\n}\\n\\n.fa-3x {\\n font-size: 3em;\\n}\\n\\n.fa-4x {\\n font-size: 4em;\\n}\\n\\n.fa-5x {\\n font-size: 5em;\\n}\\n\\n.fa-6x {\\n font-size: 6em;\\n}\\n\\n.fa-7x {\\n font-size: 7em;\\n}\\n\\n.fa-8x {\\n font-size: 8em;\\n}\\n\\n.fa-9x {\\n font-size: 9em;\\n}\\n\\n.fa-10x {\\n font-size: 10em;\\n}\\n\\n.fa-fw {\\n text-align: center;\\n width: 1.25em;\\n}\\n\\n.fa-ul {\\n list-style-type: none;\\n margin-left: 2.5em;\\n padding-left: 0;\\n}\\n.fa-ul > li {\\n position: relative;\\n}\\n\\n.fa-li {\\n left: -2em;\\n position: absolute;\\n text-align: center;\\n width: 2em;\\n line-height: inherit;\\n}\\n\\n.fa-border {\\n border: solid 0.08em #eee;\\n border-radius: 0.1em;\\n padding: 0.2em 0.25em 0.15em;\\n}\\n\\n.fa-pull-left {\\n float: left;\\n}\\n\\n.fa-pull-right {\\n float: right;\\n}\\n\\n.fa.fa-pull-left,\\n.fas.fa-pull-left,\\n.far.fa-pull-left,\\n.fal.fa-pull-left,\\n.fab.fa-pull-left {\\n margin-right: 0.3em;\\n}\\n.fa.fa-pull-right,\\n.fas.fa-pull-right,\\n.far.fa-pull-right,\\n.fal.fa-pull-right,\\n.fab.fa-pull-right {\\n margin-left: 0.3em;\\n}\\n\\n.fa-spin {\\n -webkit-animation: fa-spin 2s infinite linear;\\n animation: fa-spin 2s infinite linear;\\n}\\n\\n.fa-pulse {\\n -webkit-animation: fa-spin 1s infinite steps(8);\\n animation: fa-spin 1s infinite steps(8);\\n}\\n\\n@-webkit-keyframes fa-spin {\\n 0% {\\n -webkit-transform: rotate(0deg);\\n transform: rotate(0deg);\\n }\\n 100% {\\n -webkit-transform: rotate(360deg);\\n transform: rotate(360deg);\\n }\\n}\\n\\n@keyframes fa-spin {\\n 0% {\\n -webkit-transform: rotate(0deg);\\n transform: rotate(0deg);\\n }\\n 100% {\\n -webkit-transform: rotate(360deg);\\n transform: rotate(360deg);\\n }\\n}\\n.fa-rotate-90 {\\n -ms-filter: \\\"progid:DXImageTransform.Microsoft.BasicImage(rotation=1)\\\";\\n -webkit-transform: rotate(90deg);\\n transform: rotate(90deg);\\n}\\n\\n.fa-rotate-180 {\\n -ms-filter: \\\"progid:DXImageTransform.Microsoft.BasicImage(rotation=2)\\\";\\n -webkit-transform: rotate(180deg);\\n transform: rotate(180deg);\\n}\\n\\n.fa-rotate-270 {\\n -ms-filter: \\\"progid:DXImageTransform.Microsoft.BasicImage(rotation=3)\\\";\\n -webkit-transform: rotate(270deg);\\n transform: rotate(270deg);\\n}\\n\\n.fa-flip-horizontal {\\n -ms-filter: \\\"progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1)\\\";\\n -webkit-transform: scale(-1, 1);\\n transform: scale(-1, 1);\\n}\\n\\n.fa-flip-vertical {\\n -ms-filter: \\\"progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)\\\";\\n -webkit-transform: scale(1, -1);\\n transform: scale(1, -1);\\n}\\n\\n.fa-flip-both, .fa-flip-horizontal.fa-flip-vertical {\\n -ms-filter: \\\"progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)\\\";\\n -webkit-transform: scale(-1, -1);\\n transform: scale(-1, -1);\\n}\\n\\n:root .fa-rotate-90,\\n:root .fa-rotate-180,\\n:root .fa-rotate-270,\\n:root .fa-flip-horizontal,\\n:root .fa-flip-vertical,\\n:root .fa-flip-both {\\n -webkit-filter: none;\\n filter: none;\\n}\\n\\n.fa-stack {\\n display: inline-block;\\n height: 2em;\\n position: relative;\\n width: 2.5em;\\n}\\n\\n.fa-stack-1x,\\n.fa-stack-2x {\\n bottom: 0;\\n left: 0;\\n margin: auto;\\n position: absolute;\\n right: 0;\\n top: 0;\\n}\\n\\n.svg-inline--fa.fa-stack-1x {\\n height: 1em;\\n width: 1.25em;\\n}\\n.svg-inline--fa.fa-stack-2x {\\n height: 2em;\\n width: 2.5em;\\n}\\n\\n.fa-inverse {\\n color: #fff;\\n}\\n\\n.sr-only {\\n border: 0;\\n clip: rect(0, 0, 0, 0);\\n height: 1px;\\n margin: -1px;\\n overflow: hidden;\\n padding: 0;\\n position: absolute;\\n width: 1px;\\n}\\n\\n.sr-only-focusable:active, .sr-only-focusable:focus {\\n clip: auto;\\n height: auto;\\n margin: 0;\\n overflow: visible;\\n position: static;\\n width: auto;\\n}\\n\\n.svg-inline--fa .fa-primary {\\n fill: var(--fa-primary-color, currentColor);\\n opacity: 1;\\n opacity: var(--fa-primary-opacity, 1);\\n}\\n\\n.svg-inline--fa .fa-secondary {\\n fill: var(--fa-secondary-color, currentColor);\\n opacity: 0.4;\\n opacity: var(--fa-secondary-opacity, 0.4);\\n}\\n\\n.svg-inline--fa.fa-swap-opacity .fa-primary {\\n opacity: 0.4;\\n opacity: var(--fa-secondary-opacity, 0.4);\\n}\\n\\n.svg-inline--fa.fa-swap-opacity .fa-secondary {\\n opacity: 1;\\n opacity: var(--fa-primary-opacity, 1);\\n}\\n\\n.svg-inline--fa mask .fa-primary,\\n.svg-inline--fa mask .fa-secondary {\\n fill: black;\\n}\\n\\n.fad.fa-inverse {\\n color: #fff;\\n}\";\n\nfunction css () {\n var dfp = DEFAULT_FAMILY_PREFIX;\n var drc = DEFAULT_REPLACEMENT_CLASS;\n var fp = config.familyPrefix;\n var rc = config.replacementClass;\n var s = baseStyles;\n\n if (fp !== dfp || rc !== drc) {\n var dPatt = new RegExp(\"\\\\.\".concat(dfp, \"\\\\-\"), 'g');\n var customPropPatt = new RegExp(\"\\\\--\".concat(dfp, \"\\\\-\"), 'g');\n var rPatt = new RegExp(\"\\\\.\".concat(drc), 'g');\n s = s.replace(dPatt, \".\".concat(fp, \"-\")).replace(customPropPatt, \"--\".concat(fp, \"-\")).replace(rPatt, \".\".concat(rc));\n }\n\n return s;\n}\n\nvar Library =\n/*#__PURE__*/\nfunction () {\n function Library() {\n _classCallCheck(this, Library);\n\n this.definitions = {};\n }\n\n _createClass(Library, [{\n key: \"add\",\n value: function add() {\n var _this = this;\n\n for (var _len = arguments.length, definitions = new Array(_len), _key = 0; _key < _len; _key++) {\n definitions[_key] = arguments[_key];\n }\n\n var additions = definitions.reduce(this._pullDefinitions, {});\n Object.keys(additions).forEach(function (key) {\n _this.definitions[key] = _objectSpread({}, _this.definitions[key] || {}, additions[key]);\n defineIcons(key, additions[key]);\n build();\n });\n }\n }, {\n key: \"reset\",\n value: function reset() {\n this.definitions = {};\n }\n }, {\n key: \"_pullDefinitions\",\n value: function _pullDefinitions(additions, definition) {\n var normalized = definition.prefix && definition.iconName && definition.icon ? {\n 0: definition\n } : definition;\n Object.keys(normalized).map(function (key) {\n var _normalized$key = normalized[key],\n prefix = _normalized$key.prefix,\n iconName = _normalized$key.iconName,\n icon = _normalized$key.icon;\n if (!additions[prefix]) additions[prefix] = {};\n additions[prefix][iconName] = icon;\n });\n return additions;\n }\n }]);\n\n return Library;\n}();\n\nfunction ensureCss() {\n if (config.autoAddCss && !_cssInserted) {\n insertCss(css());\n\n _cssInserted = true;\n }\n}\n\nfunction apiObject(val, abstractCreator) {\n Object.defineProperty(val, 'abstract', {\n get: abstractCreator\n });\n Object.defineProperty(val, 'html', {\n get: function get() {\n return val.abstract.map(function (a) {\n return toHtml(a);\n });\n }\n });\n Object.defineProperty(val, 'node', {\n get: function get() {\n if (!IS_DOM) return;\n var container = DOCUMENT.createElement('div');\n container.innerHTML = val.html;\n return container.children;\n }\n });\n return val;\n}\n\nfunction findIconDefinition(iconLookup) {\n var _iconLookup$prefix = iconLookup.prefix,\n prefix = _iconLookup$prefix === void 0 ? 'fa' : _iconLookup$prefix,\n iconName = iconLookup.iconName;\n if (!iconName) return;\n return iconFromMapping(library.definitions, prefix, iconName) || iconFromMapping(namespace.styles, prefix, iconName);\n}\n\nfunction resolveIcons(next) {\n return function (maybeIconDefinition) {\n var params = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n var iconDefinition = (maybeIconDefinition || {}).icon ? maybeIconDefinition : findIconDefinition(maybeIconDefinition || {});\n var mask = params.mask;\n\n if (mask) {\n mask = (mask || {}).icon ? mask : findIconDefinition(mask || {});\n }\n\n return next(iconDefinition, _objectSpread({}, params, {\n mask: mask\n }));\n };\n}\n\nvar library = new Library();\nvar noAuto = function noAuto() {\n config.autoReplaceSvg = false;\n config.observeMutations = false;\n disconnect();\n};\nvar _cssInserted = false;\nvar dom = {\n i2svg: function i2svg() {\n var params = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : {};\n\n if (IS_DOM) {\n ensureCss();\n var _params$node = params.node,\n node = _params$node === void 0 ? DOCUMENT : _params$node,\n _params$callback = params.callback,\n callback = _params$callback === void 0 ? function () {} : _params$callback;\n\n if (config.searchPseudoElements) {\n searchPseudoElements(node);\n }\n\n return onTree(node, callback);\n } else {\n return picked.reject('Operation requires a DOM of some kind.');\n }\n },\n css: css,\n insertCss: function insertCss$$1() {\n if (!_cssInserted) {\n insertCss(css());\n\n _cssInserted = true;\n }\n },\n watch: function watch() {\n var params = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : {};\n var autoReplaceSvgRoot = params.autoReplaceSvgRoot,\n observeMutationsRoot = params.observeMutationsRoot;\n\n if (config.autoReplaceSvg === false) {\n config.autoReplaceSvg = true;\n }\n\n config.observeMutations = true;\n domready(function () {\n autoReplace({\n autoReplaceSvgRoot: autoReplaceSvgRoot\n });\n observe({\n treeCallback: onTree,\n nodeCallback: onNode,\n pseudoElementsCallback: searchPseudoElements,\n observeMutationsRoot: observeMutationsRoot\n });\n });\n }\n};\nvar parse = {\n transform: function transform(transformString) {\n return parseTransformString(transformString);\n }\n};\nvar icon = resolveIcons(function (iconDefinition) {\n var params = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n var _params$transform = params.transform,\n transform = _params$transform === void 0 ? meaninglessTransform : _params$transform,\n _params$symbol = params.symbol,\n symbol = _params$symbol === void 0 ? false : _params$symbol,\n _params$mask = params.mask,\n mask = _params$mask === void 0 ? null : _params$mask,\n _params$maskId = params.maskId,\n maskId = _params$maskId === void 0 ? null : _params$maskId,\n _params$title = params.title,\n title = _params$title === void 0 ? null : _params$title,\n _params$titleId = params.titleId,\n titleId = _params$titleId === void 0 ? null : _params$titleId,\n _params$classes = params.classes,\n classes = _params$classes === void 0 ? [] : _params$classes,\n _params$attributes = params.attributes,\n attributes = _params$attributes === void 0 ? {} : _params$attributes,\n _params$styles = params.styles,\n styles = _params$styles === void 0 ? {} : _params$styles;\n if (!iconDefinition) return;\n var prefix = iconDefinition.prefix,\n iconName = iconDefinition.iconName,\n icon = iconDefinition.icon;\n return apiObject(_objectSpread({\n type: 'icon'\n }, iconDefinition), function () {\n ensureCss();\n\n if (config.autoA11y) {\n if (title) {\n attributes['aria-labelledby'] = \"\".concat(config.replacementClass, \"-title-\").concat(titleId || nextUniqueId());\n } else {\n attributes['aria-hidden'] = 'true';\n attributes['focusable'] = 'false';\n }\n }\n\n return makeInlineSvgAbstract({\n icons: {\n main: asFoundIcon(icon),\n mask: mask ? asFoundIcon(mask.icon) : {\n found: false,\n width: null,\n height: null,\n icon: {}\n }\n },\n prefix: prefix,\n iconName: iconName,\n transform: _objectSpread({}, meaninglessTransform, transform),\n symbol: symbol,\n title: title,\n maskId: maskId,\n titleId: titleId,\n extra: {\n attributes: attributes,\n styles: styles,\n classes: classes\n }\n });\n });\n});\nvar text = function text(content) {\n var params = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n var _params$transform2 = params.transform,\n transform = _params$transform2 === void 0 ? meaninglessTransform : _params$transform2,\n _params$title2 = params.title,\n title = _params$title2 === void 0 ? null : _params$title2,\n _params$classes2 = params.classes,\n classes = _params$classes2 === void 0 ? [] : _params$classes2,\n _params$attributes2 = params.attributes,\n attributes = _params$attributes2 === void 0 ? {} : _params$attributes2,\n _params$styles2 = params.styles,\n styles = _params$styles2 === void 0 ? {} : _params$styles2;\n return apiObject({\n type: 'text',\n content: content\n }, function () {\n ensureCss();\n return makeLayersTextAbstract({\n content: content,\n transform: _objectSpread({}, meaninglessTransform, transform),\n title: title,\n extra: {\n attributes: attributes,\n styles: styles,\n classes: [\"\".concat(config.familyPrefix, \"-layers-text\")].concat(_toConsumableArray(classes))\n }\n });\n });\n};\nvar counter = function counter(content) {\n var params = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n var _params$title3 = params.title,\n title = _params$title3 === void 0 ? null : _params$title3,\n _params$classes3 = params.classes,\n classes = _params$classes3 === void 0 ? [] : _params$classes3,\n _params$attributes3 = params.attributes,\n attributes = _params$attributes3 === void 0 ? {} : _params$attributes3,\n _params$styles3 = params.styles,\n styles = _params$styles3 === void 0 ? {} : _params$styles3;\n return apiObject({\n type: 'counter',\n content: content\n }, function () {\n ensureCss();\n return makeLayersCounterAbstract({\n content: content.toString(),\n title: title,\n extra: {\n attributes: attributes,\n styles: styles,\n classes: [\"\".concat(config.familyPrefix, \"-layers-counter\")].concat(_toConsumableArray(classes))\n }\n });\n });\n};\nvar layer = function layer(assembler) {\n var params = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n var _params$classes4 = params.classes,\n classes = _params$classes4 === void 0 ? [] : _params$classes4;\n return apiObject({\n type: 'layer'\n }, function () {\n ensureCss();\n var children = [];\n assembler(function (args) {\n Array.isArray(args) ? args.map(function (a) {\n children = children.concat(a.abstract);\n }) : children = children.concat(args.abstract);\n });\n return [{\n tag: 'span',\n attributes: {\n class: [\"\".concat(config.familyPrefix, \"-layers\")].concat(_toConsumableArray(classes)).join(' ')\n },\n children: children\n }];\n });\n};\nvar api = {\n noAuto: noAuto,\n config: config,\n dom: dom,\n library: library,\n parse: parse,\n findIconDefinition: findIconDefinition,\n icon: icon,\n text: text,\n counter: counter,\n layer: layer,\n toHtml: toHtml\n};\n\nvar autoReplace = function autoReplace() {\n var params = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : {};\n var _params$autoReplaceSv = params.autoReplaceSvgRoot,\n autoReplaceSvgRoot = _params$autoReplaceSv === void 0 ? DOCUMENT : _params$autoReplaceSv;\n if ((Object.keys(namespace.styles).length > 0 || config.autoFetchSvg) && IS_DOM && config.autoReplaceSvg) api.dom.i2svg({\n node: autoReplaceSvgRoot\n });\n};\n\nexport { icon, noAuto, config, toHtml, layer, text, counter, library, dom, parse, findIconDefinition };\n","import style from \"./Box.less\";\n\nexport const BoxColors = Object.freeze({\n RED: style.red,\n ORANGE: style.orange,\n YELLOW: style.yellow,\n LIME: style.lime,\n CYAN: style.cyan,\n BLUE: style.blue,\n MAGENTA: style.magenta,\n DEFAULT: style.default\n})\n\nexport default function (props) {\n let color = BoxColors.DEFAULT;\n if(props.color) {\n color = props.color;\n }\n\n return (\n
\n {props.children}\n
\n );\n}\n","import Panel from '../components/Elements/Panel';\nimport Section from \"../components/Elements/Section\";\nimport Todo from \"../components/Elements/Todo\";\nimport { FontAwesomeIcon } from '@fortawesome/react-fontawesome'\nimport {faGithub, faTelegram} from \"@fortawesome/free-brands-svg-icons\";\nimport {faExternalLinkAlt} from \"@fortawesome/free-solid-svg-icons\";\n\n\nexport default function(props) {\n return (\n
\n

Indice

\n
\n Apprendimento ed evoluzione in sistemi artificiali}>\n

\n Appunti scritti mentre studiavo per l'esame di Apprendimento ed evoluzione in sistemi artificiali del corso triennale di Informatica all'Unimore.\n

\n \n Basi di dati}>\n

\n Appunti scritti mentre studiavo per l'esame di Basi di dati del corso triennale di Informatica all'Unimore.\n

\n \n Calcolo Numerico}>\n

\n Appunti scritti mentre studiavo per l'esame di Calcolo Numerico del corso triennale di Informatica all'Unimore.\n

\n \n Ottimizzazione lineare intera}>\n

\n Appunti scritti mentre studiavo per l'esame di Ottimizzazione lineare intera del corso triennale di Informatica all'Unimore.\n

\n \n
\n
\n Statistica ed elementi di probabilità}>\n

\n Appunti scritti mentre studiavo per l'esame di Statistica ed elementi di probabilità del corso triennale di Informatica all'Unimore del Prof. Luca La Rocca.\n

\n \n Cleaver}>\n

\n Progetto in Java sviluppato per l'esame di Programmazione ad Oggetti del corso triennale di Informatica all'Unimore, tenuto dai Prof. Giacomo Cabri e Nicola Capodieci.\n

\n \n Fisica}>\n

\n Appunti delle lezioni di Fisica del corso triennale di Informatica all'Unimore, tenute dalla Prof.ssa Rossella Brunetti nel primo semestre dell'Anno Accademico 2019/2020.\n

\n \n Sistemi Operativi}>\n

\n Soluzioni agli Arzigogoli proposti dal Prof. Mauro Andreolini durante le lezioni di Sistemi Operativi del corso triennale di Informatica all'Unimore tenutesi nel primo semestre dell'Anno Accademico 2019/2020.\n

\n \n Algoritmi e Strutture Dati}>\n

\n Appunti delle lezioni di Algoritmi e Strutture Dati del corso triennale di Informatica all'Unimore, tenute dalla Prof.ssa Manuela Montangero nel secondo semestre dell'Anno Accademico 2018/2019.\n

\n

\n TODO: finisci di migrare da GitHub!\n

\n \n Videolezioni di Geometria}>\n

\n Ottime videolezioni di Geometria con licenza CC BY-NC-SA 4.0 che ho trovato sul portale Dolly 2018 dell'Unimore.\n

\n \n Come installare MinGW}>\n

\n Un breve tutorial con immagini su come installare e configurare MinGW per compilare programmi C e C++ su Windows.\n

\n \n
\n
\n unimore-informatica}>\n

\n Un topic di GitHub che raccoglie tutti i repository realizzati dagli studenti di Informatica dell'Unimore.\n

\n \n Unimore Informatica}>\n

\n Il gruppo Telegram del corso di Informatica dell'Unimore!\n

\n \n Calendario Lezioni}>\n

\n Calendario Google quasi sempre aggiornato delle lezioni e degli esami del secondo anno dell'Unimore durante l'Anno Accademico 2019/2020.\n

\n \n
\n
\n Erre2}>\n

\n Portale contenente appunti e riassunti mantenuto da Lorenzo Balugani.\n

\n \n vezzalinistefano/Appunti-Algoritmi}>\n

\n Appunti di Algoritmi e Strutture Dati mantenuti da Vezzalini Stefano.\n

\n \n
\n
\n )\n}\n","// extracted by mini-css-extract-plugin\nmodule.exports = {\"splitparent\":\"splitparent__3-wBs\",\"splitchild\":\"splitchild__begkX\"};","import style from \"./Panel.less\";\nimport Box from \"./Box\";\n\nexport default function(props) {\n\treturn (\n\t\t\n\t\t\t

\n\t\t\t\t{props.title}\n\t\t\t

\n\t\t\t
\n\t\t\t\t{props.children}\n\t\t\t
\n\t\t\n\t);\n}\n","/**\n * Assign properties from `props` to `obj`\n * @template O, P The obj and props types\n * @param {O} obj The object to copy properties to\n * @param {P} props The object to copy properties from\n * @returns {O & P}\n */\nexport function assign(obj, props) {\n\tfor (let i in props) obj[i] = props[i];\n\treturn /** @type {O & P} */ (obj);\n}\n\n/**\n * Check if two objects have a different shape\n * @param {object} a\n * @param {object} b\n * @returns {boolean}\n */\nexport function shallowDiffers(a, b) {\n\tfor (let i in a) if (i !== '__source' && !(i in b)) return true;\n\tfor (let i in b) if (i !== '__source' && a[i] !== b[i]) return true;\n\treturn false;\n}\n","import { Component, createElement, options } from 'preact';\nimport { assign } from './util';\n\nconst oldCatchError = options._catchError;\noptions._catchError = function(error, newVNode, oldVNode) {\n\tif (error.then) {\n\t\t/** @type {import('./internal').Component} */\n\t\tlet component;\n\t\tlet vnode = newVNode;\n\n\t\tfor (; (vnode = vnode._parent); ) {\n\t\t\tif ((component = vnode._component) && component._childDidSuspend) {\n\t\t\t\t// Don't call oldCatchError if we found a Suspense\n\t\t\t\treturn component._childDidSuspend(error, newVNode._component);\n\t\t\t}\n\t\t}\n\t}\n\toldCatchError(error, newVNode, oldVNode);\n};\n\nfunction detachedClone(vnode) {\n\tif (vnode) {\n\t\tvnode = assign({}, vnode);\n\t\tvnode._component = null;\n\t\tvnode._children = vnode._children && vnode._children.map(detachedClone);\n\t}\n\treturn vnode;\n}\n\n// having custom inheritance instead of a class here saves a lot of bytes\nexport function Suspense() {\n\t// we do not call super here to golf some bytes...\n\tthis._pendingSuspensionCount = 0;\n\tthis._suspenders = null;\n\tthis._detachOnNextRender = null;\n}\n\n// Things we do here to save some bytes but are not proper JS inheritance:\n// - call `new Component()` as the prototype\n// - do not set `Suspense.prototype.constructor` to `Suspense`\nSuspense.prototype = new Component();\n\n/**\n * @param {Promise} promise The thrown promise\n * @param {Component} suspendingComponent The suspending component\n */\nSuspense.prototype._childDidSuspend = function(promise, suspendingComponent) {\n\t/** @type {import('./internal').SuspenseComponent} */\n\tconst c = this;\n\n\tif (c._suspenders == null) {\n\t\tc._suspenders = [];\n\t}\n\tc._suspenders.push(suspendingComponent);\n\n\tconst resolve = suspended(c._vnode);\n\n\tlet resolved = false;\n\tconst onResolved = () => {\n\t\tif (resolved) return;\n\n\t\tresolved = true;\n\n\t\tif (resolve) {\n\t\t\tresolve(onSuspensionComplete);\n\t\t} else {\n\t\t\tonSuspensionComplete();\n\t\t}\n\t};\n\n\tsuspendingComponent._suspendedComponentWillUnmount =\n\t\tsuspendingComponent.componentWillUnmount;\n\tsuspendingComponent.componentWillUnmount = () => {\n\t\tonResolved();\n\n\t\tif (suspendingComponent._suspendedComponentWillUnmount) {\n\t\t\tsuspendingComponent._suspendedComponentWillUnmount();\n\t\t}\n\t};\n\n\tconst onSuspensionComplete = () => {\n\t\tif (!--c._pendingSuspensionCount) {\n\t\t\tc._vnode._children[0] = c.state._suspended;\n\t\t\tc.setState({ _suspended: (c._detachOnNextRender = null) });\n\n\t\t\tlet suspended;\n\t\t\twhile ((suspended = c._suspenders.pop())) {\n\t\t\t\tsuspended.forceUpdate();\n\t\t\t}\n\t\t}\n\t};\n\n\tif (!c._pendingSuspensionCount++) {\n\t\tc.setState({ _suspended: (c._detachOnNextRender = c._vnode._children[0]) });\n\t}\n\tpromise.then(onResolved, onResolved);\n};\n\nSuspense.prototype.render = function(props, state) {\n\tif (this._detachOnNextRender) {\n\t\tthis._vnode._children[0] = detachedClone(this._detachOnNextRender);\n\t\tthis._detachOnNextRender = null;\n\t}\n\n\treturn [\n\t\tcreateElement(Component, null, state._suspended ? null : props.children),\n\t\tstate._suspended && props.fallback\n\t];\n};\n\n/**\n * Checks and calls the parent component's _suspended method, passing in the\n * suspended vnode. This is a way for a parent (e.g. SuspenseList) to get notified\n * that one of its children/descendants suspended.\n *\n * The parent MAY return a callback. The callback will get called when the\n * suspension resolves, notifying the parent of the fact.\n * Moreover, the callback gets function `unsuspend` as a parameter. The resolved\n * child descendant will not actually get unsuspended until `unsuspend` gets called.\n * This is a way for the parent to delay unsuspending.\n *\n * If the parent does not return a callback then the resolved vnode\n * gets unsuspended immediately when it resolves.\n *\n * @param {import('../src/internal').VNode} vnode\n * @returns {((unsuspend: () => void) => void)?}\n */\nexport function suspended(vnode) {\n\tlet component = vnode._parent._component;\n\treturn component && component._suspended && component._suspended(vnode);\n}\n\nexport function lazy(loader) {\n\tlet prom;\n\tlet component;\n\tlet error;\n\n\tfunction Lazy(props) {\n\t\tif (!prom) {\n\t\t\tprom = loader();\n\t\t\tprom.then(\n\t\t\t\texports => {\n\t\t\t\t\tcomponent = exports.default || exports;\n\t\t\t\t},\n\t\t\t\te => {\n\t\t\t\t\terror = e;\n\t\t\t\t}\n\t\t\t);\n\t\t}\n\n\t\tif (error) {\n\t\t\tthrow error;\n\t\t}\n\n\t\tif (!component) {\n\t\t\tthrow prom;\n\t\t}\n\n\t\treturn createElement(component, props);\n\t}\n\n\tLazy.displayName = 'Lazy';\n\tLazy._forwarded = true;\n\treturn Lazy;\n}\n","import { Component, toChildArray } from 'preact';\nimport { suspended } from './suspense.js';\n\n// Indexes to linked list nodes (nodes are stored as arrays to save bytes).\nconst SUSPENDED_COUNT = 0;\nconst RESOLVED_COUNT = 1;\nconst NEXT_NODE = 2;\n\n// Having custom inheritance instead of a class here saves a lot of bytes.\nexport function SuspenseList() {\n\tthis._next = null;\n\tthis._map = null;\n}\n\n// Mark one of child's earlier suspensions as resolved.\n// Some pending callbacks may become callable due to this\n// (e.g. the last suspended descendant gets resolved when\n// revealOrder === 'together'). Process those callbacks as well.\nconst resolve = (list, child, node) => {\n\tif (++node[RESOLVED_COUNT] === node[SUSPENDED_COUNT]) {\n\t\t// The number a child (or any of its descendants) has been suspended\n\t\t// matches the number of times it's been resolved. Therefore we\n\t\t// mark the child as completely resolved by deleting it from ._map.\n\t\t// This is used to figure out when *all* children have been completely\n\t\t// resolved when revealOrder is 'together'.\n\t\tlist._map.delete(child);\n\t}\n\n\t// If revealOrder is falsy then we can do an early exit, as the\n\t// callbacks won't get queued in the node anyway.\n\t// If revealOrder is 'together' then also do an early exit\n\t// if all suspended descendants have not yet been resolved.\n\tif (\n\t\t!list.props.revealOrder ||\n\t\t(list.props.revealOrder[0] === 't' && list._map.size)\n\t) {\n\t\treturn;\n\t}\n\n\t// Walk the currently suspended children in order, calling their\n\t// stored callbacks on the way. Stop if we encounter a child that\n\t// has not been completely resolved yet.\n\tnode = list._next;\n\twhile (node) {\n\t\twhile (node.length > 3) {\n\t\t\tnode.pop()();\n\t\t}\n\t\tif (node[RESOLVED_COUNT] < node[SUSPENDED_COUNT]) {\n\t\t\tbreak;\n\t\t}\n\t\tlist._next = node = node[NEXT_NODE];\n\t}\n};\n\n// Things we do here to save some bytes but are not proper JS inheritance:\n// - call `new Component()` as the prototype\n// - do not set `Suspense.prototype.constructor` to `Suspense`\nSuspenseList.prototype = new Component();\n\nSuspenseList.prototype._suspended = function(child) {\n\tconst list = this;\n\tconst delegated = suspended(list._vnode);\n\n\tlet node = list._map.get(child);\n\tnode[SUSPENDED_COUNT]++;\n\n\treturn unsuspend => {\n\t\tconst wrappedUnsuspend = () => {\n\t\t\tif (!list.props.revealOrder) {\n\t\t\t\t// Special case the undefined (falsy) revealOrder, as there\n\t\t\t\t// is no need to coordinate a specific order or unsuspends.\n\t\t\t\tunsuspend();\n\t\t\t} else {\n\t\t\t\tnode.push(unsuspend);\n\t\t\t\tresolve(list, child, node);\n\t\t\t}\n\t\t};\n\t\tif (delegated) {\n\t\t\tdelegated(wrappedUnsuspend);\n\t\t} else {\n\t\t\twrappedUnsuspend();\n\t\t}\n\t};\n};\n\nSuspenseList.prototype.render = function(props) {\n\tthis._next = null;\n\tthis._map = new Map();\n\n\tconst children = toChildArray(props.children);\n\tif (props.revealOrder && props.revealOrder[0] === 'b') {\n\t\t// If order === 'backwards' (or, well, anything starting with a 'b')\n\t\t// then flip the child list around so that the last child will be\n\t\t// the first in the linked list.\n\t\tchildren.reverse();\n\t}\n\t// Build the linked list. Iterate through the children in reverse order\n\t// so that `_next` points to the first linked list node to be resolved.\n\tfor (let i = children.length; i--; ) {\n\t\t// Create a new linked list node as an array of form:\n\t\t// \t[suspended_count, resolved_count, next_node]\n\t\t// where suspended_count and resolved_count are numeric counters for\n\t\t// keeping track how many times a node has been suspended and resolved.\n\t\t//\n\t\t// Note that suspended_count starts from 1 instead of 0, so we can block\n\t\t// processing callbacks until componentDidMount has been called. In a sense\n\t\t// node is suspended at least until componentDidMount gets called!\n\t\t//\n\t\t// Pending callbacks are added to the end of the node:\n\t\t// \t[suspended_count, resolved_count, next_node, callback_0, callback_1, ...]\n\t\tthis._map.set(children[i], (this._next = [1, 0, this._next]));\n\t}\n\treturn props.children;\n};\n\nSuspenseList.prototype.componentDidUpdate = SuspenseList.prototype.componentDidMount = function() {\n\t// Iterate through all children after mounting for two reasons:\n\t// 1. As each node[SUSPENDED_COUNT] starts from 1, this iteration increases\n\t// each node[RELEASED_COUNT] by 1, therefore balancing the counters.\n\t// The nodes can now be completely consumed from the linked list.\n\t// 2. Handle nodes that might have gotten resolved between render and\n\t// componentDidMount.\n\tconst list = this;\n\tlist._map.forEach((node, child) => {\n\t\tresolve(list, child, node);\n\t});\n};\n","import { createElement, hydrate, render, _unmount } from 'preact';\n\nclass ContextProvider {\n\tgetChildContext() {\n\t\treturn this.props.context;\n\t}\n\trender(props) {\n\t\treturn props.children;\n\t}\n}\n\n/**\n * Portal component\n * @param {object | null | undefined} props\n */\nfunction Portal(props) {\n\tlet _this = this;\n\tlet container = props.container;\n\tlet wrap = createElement(\n\t\tContextProvider,\n\t\t{ context: _this.context },\n\t\tprops.vnode\n\t);\n\n\t// When we change container we should clear our old container and\n\t// indicate a new mount.\n\tif (_this._container && _this._container !== container) {\n\t\tif (_this._temp.parentNode) _this._container.removeChild(_this._temp);\n\t\t_unmount(_this._wrap);\n\t\t_this._hasMounted = false;\n\t}\n\n\t// When props.vnode is undefined/false/null we are dealing with some kind of\n\t// conditional vnode. This should not trigger a render.\n\tif (props.vnode) {\n\t\tif (!_this._hasMounted) {\n\t\t\t// Create a placeholder that we can use to insert into.\n\t\t\t_this._temp = document.createTextNode('');\n\t\t\t// Hydrate existing nodes to keep the dom intact, when rendering\n\t\t\t// wrap into the container.\n\t\t\thydrate('', container);\n\t\t\t// Append to the container (this matches React's behavior)\n\t\t\tcontainer.appendChild(_this._temp);\n\t\t\t// At this point we have mounted and should set our container.\n\t\t\t_this._hasMounted = true;\n\t\t\t_this._container = container;\n\t\t\t// Render our wrapping element into temp.\n\t\t\trender(wrap, container, _this._temp);\n\t\t\t_this._children = _this._temp._children;\n\t\t} else {\n\t\t\t// When we have mounted and the vnode is present it means the\n\t\t\t// props have changed or a parent is triggering a rerender.\n\t\t\t// This implies we only need to call render. But we need to keep\n\t\t\t// the old tree around, otherwise will treat the vnodes as new and\n\t\t\t// will wrongly call `componentDidMount` on them\n\t\t\tcontainer._children = _this._children;\n\t\t\trender(wrap, container);\n\t\t\t_this._children = container._children;\n\t\t}\n\t}\n\t// When we come from a conditional render, on a mounted\n\t// portal we should clear the DOM.\n\telse if (_this._hasMounted) {\n\t\tif (_this._temp.parentNode) _this._container.removeChild(_this._temp);\n\t\t_unmount(_this._wrap);\n\t}\n\t// Set the wrapping element for future unmounting.\n\t_this._wrap = wrap;\n\n\t_this.componentWillUnmount = () => {\n\t\tif (_this._temp.parentNode) _this._container.removeChild(_this._temp);\n\t\t_unmount(_this._wrap);\n\t};\n\n\treturn null;\n}\n\n/**\n * Create a `Portal` to continue rendering the vnode tree at a different DOM node\n * @param {import('./internal').VNode} vnode The vnode to render\n * @param {import('./internal').PreactElement} container The DOM node to continue rendering in to.\n */\nexport function createPortal(vnode, container) {\n\treturn createElement(Portal, { vnode, container });\n}\n","import {\n\trender as preactRender,\n\thydrate as preactHydrate,\n\toptions,\n\ttoChildArray,\n\tComponent\n} from 'preact';\nimport { applyEventNormalization } from './events';\n\nconst CAMEL_PROPS = /^(?:accent|alignment|arabic|baseline|cap|clip(?!PathU)|color|fill|flood|font|glyph(?!R)|horiz|marker(?!H|W|U)|overline|paint|stop|strikethrough|stroke|text(?!L)|underline|unicode|units|v|vector|vert|word|writing|x(?!C))[A-Z]/;\n\n// Some libraries like `react-virtualized` explicitly check for this.\nComponent.prototype.isReactComponent = {};\n\nexport const REACT_ELEMENT_TYPE =\n\t(typeof Symbol != 'undefined' && Symbol.for && Symbol.for('react.element')) ||\n\t0xeac7;\n\n/**\n * Proxy render() since React returns a Component reference.\n * @param {import('./internal').VNode} vnode VNode tree to render\n * @param {import('./internal').PreactElement} parent DOM node to render vnode tree into\n * @param {() => void} [callback] Optional callback that will be called after rendering\n * @returns {import('./internal').Component | null} The root component reference or null\n */\nexport function render(vnode, parent, callback) {\n\t// React destroys any existing DOM nodes, see #1727\n\t// ...but only on the first render, see #1828\n\tif (parent._children == null) {\n\t\twhile (parent.firstChild) {\n\t\t\tparent.removeChild(parent.firstChild);\n\t\t}\n\t}\n\n\tpreactRender(vnode, parent);\n\tif (typeof callback == 'function') callback();\n\n\treturn vnode ? vnode._component : null;\n}\n\nexport function hydrate(vnode, parent, callback) {\n\tpreactHydrate(vnode, parent);\n\tif (typeof callback == 'function') callback();\n\n\treturn vnode ? vnode._component : null;\n}\n\nlet oldEventHook = options.event;\noptions.event = e => {\n\tif (oldEventHook) e = oldEventHook(e);\n\te.persist = () => {};\n\tlet stoppedPropagating = false,\n\t\tdefaultPrevented = false;\n\n\tconst origStopPropagation = e.stopPropagation;\n\te.stopPropagation = () => {\n\t\torigStopPropagation.call(e);\n\t\tstoppedPropagating = true;\n\t};\n\n\tconst origPreventDefault = e.preventDefault;\n\te.preventDefault = () => {\n\t\torigPreventDefault.call(e);\n\t\tdefaultPrevented = true;\n\t};\n\n\te.isPropagationStopped = () => stoppedPropagating;\n\te.isDefaultPrevented = () => defaultPrevented;\n\treturn (e.nativeEvent = e);\n};\n\n// Patch in `UNSAFE_*` lifecycle hooks\nfunction setSafeDescriptor(proto, key) {\n\tif (proto['UNSAFE_' + key] && !proto[key]) {\n\t\tObject.defineProperty(proto, key, {\n\t\t\tconfigurable: false,\n\t\t\tget() {\n\t\t\t\treturn this['UNSAFE_' + key];\n\t\t\t},\n\t\t\t// This `set` is only used if a user sets a lifecycle like cWU\n\t\t\t// after setting a lifecycle like UNSAFE_cWU. I doubt anyone\n\t\t\t// actually does this in practice so not testing it\n\t\t\t/* istanbul ignore next */\n\t\t\tset(v) {\n\t\t\t\tthis['UNSAFE_' + key] = v;\n\t\t\t}\n\t\t});\n\t}\n}\n\nlet classNameDescriptor = {\n\tconfigurable: true,\n\tget() {\n\t\treturn this.class;\n\t}\n};\n\nlet oldVNodeHook = options.vnode;\noptions.vnode = vnode => {\n\tvnode.$$typeof = REACT_ELEMENT_TYPE;\n\n\tlet type = vnode.type;\n\tlet props = vnode.props;\n\n\tif (type) {\n\t\t// Alias `class` prop to `className` if available\n\t\tif (props.class != props.className) {\n\t\t\tclassNameDescriptor.enumerable = 'className' in props;\n\t\t\tif (props.className != null) props.class = props.className;\n\t\t\tObject.defineProperty(props, 'className', classNameDescriptor);\n\t\t}\n\n\t\t// Apply DOM VNode compat\n\t\tif (typeof type != 'function') {\n\t\t\t// Apply defaultValue to value\n\t\t\tif (props.defaultValue && props.value !== undefined) {\n\t\t\t\tif (!props.value && props.value !== 0) {\n\t\t\t\t\tprops.value = props.defaultValue;\n\t\t\t\t}\n\t\t\t\tdelete props.defaultValue;\n\t\t\t}\n\n\t\t\t// Add support for array select values: \n\t\t\tif (Array.isArray(props.value) && props.multiple && type === 'select') {\n\t\t\t\ttoChildArray(props.children).forEach(child => {\n\t\t\t\t\tif (props.value.indexOf(child.props.value) != -1) {\n\t\t\t\t\t\tchild.props.selected = true;\n\t\t\t\t\t}\n\t\t\t\t});\n\t\t\t\tdelete props.value;\n\t\t\t}\n\n\t\t\t// Normalize DOM vnode properties.\n\t\t\tlet shouldSanitize, attrs, i;\n\t\t\tfor (i in props) if ((shouldSanitize = CAMEL_PROPS.test(i))) break;\n\t\t\tif (shouldSanitize) {\n\t\t\t\tattrs = vnode.props = {};\n\t\t\t\tfor (i in props) {\n\t\t\t\t\tattrs[\n\t\t\t\t\t\tCAMEL_PROPS.test(i) ? i.replace(/[A-Z0-9]/, '-$&').toLowerCase() : i\n\t\t\t\t\t] = props[i];\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\n\t\t// Events\n\t\tapplyEventNormalization(vnode);\n\n\t\t// Component base class compat\n\t\t// We can't just patch the base component class, because components that use\n\t\t// inheritance and are transpiled down to ES5 will overwrite our patched\n\t\t// getters and setters. See #1941\n\t\tif (\n\t\t\ttypeof type == 'function' &&\n\t\t\t!type._patchedLifecycles &&\n\t\t\ttype.prototype\n\t\t) {\n\t\t\tsetSafeDescriptor(type.prototype, 'componentWillMount');\n\t\t\tsetSafeDescriptor(type.prototype, 'componentWillReceiveProps');\n\t\t\tsetSafeDescriptor(type.prototype, 'componentWillUpdate');\n\t\t\ttype._patchedLifecycles = true;\n\t\t}\n\t}\n\n\tif (oldVNodeHook) oldVNodeHook(vnode);\n};\n","import { Component } from 'preact';\nimport { shallowDiffers } from './util';\n\n/**\n * Component class with a predefined `shouldComponentUpdate` implementation\n */\nexport class PureComponent extends Component {\n\tconstructor(props) {\n\t\tsuper(props);\n\t\t// Some third-party libraries check if this property is present\n\t\tthis.isPureReactComponent = true;\n\t}\n\n\tshouldComponentUpdate(props, state) {\n\t\treturn (\n\t\t\tshallowDiffers(this.props, props) || shallowDiffers(this.state, state)\n\t\t);\n\t}\n}\n","import { options } from 'preact';\nimport { assign } from './util';\n\nlet oldDiffHook = options._diff;\noptions._diff = vnode => {\n\tif (vnode.type && vnode.type._forwarded && vnode.ref) {\n\t\tvnode.props.ref = vnode.ref;\n\t\tvnode.ref = null;\n\t}\n\tif (oldDiffHook) oldDiffHook(vnode);\n};\n\nexport const REACT_FORWARD_SYMBOL =\n\t(typeof Symbol != 'undefined' &&\n\t\tSymbol.for &&\n\t\tSymbol.for('react.forward_ref')) ||\n\t0xf47;\n\n/**\n * Pass ref down to a child. This is mainly used in libraries with HOCs that\n * wrap components. Using `forwardRef` there is an easy way to get a reference\n * of the wrapped component instead of one of the wrapper itself.\n * @param {import('./index').ForwardFn} fn\n * @returns {import('./internal').FunctionalComponent}\n */\nexport function forwardRef(fn) {\n\t// We always have ref in props.ref, except for\n\t// mobx-react. It will call this function directly\n\t// and always pass ref as the second argument.\n\tfunction Forwarded(props, ref) {\n\t\tlet clone = assign({}, props);\n\t\tdelete clone.ref;\n\t\treturn fn(clone, props.ref || ref);\n\t}\n\n\t// mobx-react checks for this being present\n\tForwarded.$$typeof = REACT_FORWARD_SYMBOL;\n\t// mobx-react heavily relies on implementation details.\n\t// It expects an object here with a `render` property,\n\t// and prototype.render will fail. Without this\n\t// mobx-react throws.\n\tForwarded.render = Forwarded;\n\n\tForwarded.prototype.isReactComponent = Forwarded._forwarded = true;\n\tForwarded.displayName = 'ForwardRef(' + (fn.displayName || fn.name) + ')';\n\treturn Forwarded;\n}\n","import { toChildArray } from 'preact';\n\nconst mapFn = (children, fn) => {\n\tif (!children) return null;\n\treturn toChildArray(children).reduce(\n\t\t(acc, value, index) => acc.concat(fn(value, index)),\n\t\t[]\n\t);\n};\n\n// This API is completely unnecessary for Preact, so it's basically passthrough.\nexport const Children = {\n\tmap: mapFn,\n\tforEach: mapFn,\n\tcount(children) {\n\t\treturn children ? toChildArray(children).length : 0;\n\t},\n\tonly(children) {\n\t\tchildren = toChildArray(children);\n\t\tif (children.length !== 1) {\n\t\t\tthrow new Error('Children.only() expects only one child.');\n\t\t}\n\t\treturn children[0];\n\t},\n\ttoArray: toChildArray\n};\n","/**\n * Normalize event handlers like react does. Most famously it uses `onChange` for any input element.\n * @param {import('./internal').VNode} vnode The vnode to normalize events on\n */\nexport function applyEventNormalization({ type, props }) {\n\tif (!props || typeof type != 'string') return;\n\tlet newProps = {};\n\n\tfor (let i in props) {\n\t\tif (/^on(Ani|Tra|Tou)/.test(i)) {\n\t\t\tprops[i.toLowerCase()] = props[i];\n\t\t\tdelete props[i];\n\t\t}\n\t\tnewProps[i.toLowerCase()] = i;\n\t}\n\tif (newProps.ondoubleclick) {\n\t\tprops.ondblclick = props[newProps.ondoubleclick];\n\t\tdelete props[newProps.ondoubleclick];\n\t}\n\tif (newProps.onbeforeinput) {\n\t\tprops.onbeforeinput = props[newProps.onbeforeinput];\n\t\tdelete props[newProps.onbeforeinput];\n\t}\n\t// for *textual inputs* (incl textarea), normalize `onChange` -> `onInput`:\n\tif (\n\t\tnewProps.onchange &&\n\t\t(type === 'textarea' ||\n\t\t\t(type.toLowerCase() === 'input' && !/^fil|che|ra/i.test(props.type)))\n\t) {\n\t\tlet normalized = newProps.oninput || 'oninput';\n\t\tif (!props[normalized]) {\n\t\t\tprops[normalized] = props[newProps.onchange];\n\t\t\tdelete props[newProps.onchange];\n\t\t}\n\t}\n}\n","import { createElement } from 'preact';\nimport { shallowDiffers } from './util';\n\n/**\n * Memoize a component, so that it only updates when the props actually have\n * changed. 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\n

Come installare MinGW

\n \n\t\t\t\t\t

Scaricate l'installer ufficiale,\n\t\t\t\t\t\ted eseguitelo.

\"\"/\n\t\t\t\t\t

Dovrebbe comparire questa schermata. Cliccate su Install, poi scegliete una cartella di installazione\n\t\t\t\t\t\t(ricordatevela!) e poi Continue. Lasciate stare le altre opzioni, dovrebbero essere tutte spuntate,\n\t\t\t\t\t\ttranne For all users, che dovrebbe essere disattivato.

\"\"/\n\t\t\t\t\t

Aspettate che finisca il download. Pochi secondi dopo, dovrebbe finire e dovrebbe apparire un tasto\n\t\t\t\t\t\tContinue. Premetelo.

\"\"/\n\t\t\t\t\t

Dovrebbe apparirvi questa finestra. L'installer di MinGW è una specie di gestore pacchetti (tipo apt su\n\t\t\t\t\t\tUbuntu); potete scegliere quali pacchetti installare, e quindi quali funzionalità.

\"\"/\n\t\t\t\t\t

Nel nostro caso, dovrebbero servirci mingw32-base-bin (per il C e alcune librerie C++) e\n\t\t\t\t\t\tmingw32-gcc-g++-bin (per il C++). Cliccate, quindi, sui due quadratini corrispondenti, e premete\n\t\t\t\t\t\tMark for Installation. Dovrebbe comparire una freccia gialla sul quadratino.

\"\"/\n\t\t\t\t\t

Ora, è il momento di installare i pacchetti. Aprite il menù Installation, poi premete\n\t\t\t\t\t\tApply Changes, e di nuovo Apply.

\"\"/\n\t\t\t\t\t

Lasciate che scarichi, ci vorrà un po'. Guardatevi un video nel frattempo, fatevi una partitina a qualcosa, tornate\n\t\t\t\t\t\tdopo circa 10 minuti.

\"\"/\n\t\t\t\t\t

Una volta installato, dobbiamo aggiungere g++ ai programmi eseguibili da Prompt dei Comandi: premete il\n\t\t\t\t\t\ttasto Windows, e scrivete PATH. Windows dovrebbe trovarvi automaticamente quell'opzione.

\n\t\t\t\t\t\"\"/\n\t\t\t\t\t

Dentro la finestra di Proprietà del Sistema, premete Variabili d'ambiente.

\"\"/\n\t\t\t\t\t

Trovate la variabile d'ambiente globale Path, e fateci doppio click per modificarla.

\"\"/\n\t\t\t\t\t

Ora dovreste vedere l'elenco di tutte le cartelle contenenti programmi eseguibili da terminale: dobbiamo aggiungere\n\t\t\t\t\t\tquella di MinGW! Premete Sfoglia.

\"\"/\n\t\t\t\t\t

Trovate la cartella in cui avete installato MinGW (vi avevo detto di ricordarvela!); entrateci, poi selezionate la\n\t\t\t\t\t\tsottocartella bin e premete OK su tutte le finestre che avete aperto fino ad ora,\n\t\t\t\t\t\tchiudendole.

\n\t\t\t\t\t

Complimenti! Avete installato MinGW e potete compilare programmi C e C++ da Windows! Avete a disposizione\n\t\t\t\t\t\tgcc e g++ sul Prompt dei Comandi, e potete finalmente creare dei file .exe!

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\n

Come installare MinGW

\n \n\t\t\t\t\t

Scaricate l'installer ufficiale,\n\t\t\t\t\t\ted eseguitelo.

\"\"/\n\t\t\t\t\t

Dovrebbe comparire questa schermata. Cliccate su Install, poi scegliete una cartella di installazione\n\t\t\t\t\t\t(ricordatevela!) e poi Continue. Lasciate stare le altre opzioni, dovrebbero essere tutte spuntate,\n\t\t\t\t\t\ttranne For all users, che dovrebbe essere disattivato.

\"\"/\n\t\t\t\t\t

Aspettate che finisca il download. Pochi secondi dopo, dovrebbe finire e dovrebbe apparire un tasto\n\t\t\t\t\t\tContinue. Premetelo.

\"\"/\n\t\t\t\t\t

Dovrebbe apparirvi questa finestra. L'installer di MinGW è una specie di gestore pacchetti (tipo apt su\n\t\t\t\t\t\tUbuntu); potete scegliere quali pacchetti installare, e quindi quali funzionalità.

\"\"/\n\t\t\t\t\t

Nel nostro caso, dovrebbero servirci mingw32-base-bin (per il C e alcune librerie C++) e\n\t\t\t\t\t\tmingw32-gcc-g++-bin (per il C++). Cliccate, quindi, sui due quadratini corrispondenti, e premete\n\t\t\t\t\t\tMark for Installation. Dovrebbe comparire una freccia gialla sul quadratino.

\"\"/\n\t\t\t\t\t

Ora, è il momento di installare i pacchetti. Aprite il menù Installation, poi premete\n\t\t\t\t\t\tApply Changes, e di nuovo Apply.

\"\"/\n\t\t\t\t\t

Lasciate che scarichi, ci vorrà un po'. Guardatevi un video nel frattempo, fatevi una partitina a qualcosa, tornate\n\t\t\t\t\t\tdopo circa 10 minuti.

\"\"/\n\t\t\t\t\t

Una volta installato, dobbiamo aggiungere g++ ai programmi eseguibili da Prompt dei Comandi: premete il\n\t\t\t\t\t\ttasto Windows, e scrivete PATH. Windows dovrebbe trovarvi automaticamente quell'opzione.

\n\t\t\t\t\t\"\"/\n\t\t\t\t\t

Dentro la finestra di Proprietà del Sistema, premete Variabili d'ambiente.

\"\"/\n\t\t\t\t\t

Trovate la variabile d'ambiente globale Path, e fateci doppio click per modificarla.

\"\"/\n\t\t\t\t\t

Ora dovreste vedere l'elenco di tutte le cartelle contenenti programmi eseguibili da terminale: dobbiamo aggiungere\n\t\t\t\t\t\tquella di MinGW! Premete Sfoglia.

\"\"/\n\t\t\t\t\t

Trovate la cartella in cui avete installato MinGW (vi avevo detto di ricordarvela!); entrateci, poi selezionate la\n\t\t\t\t\t\tsottocartella bin e premete OK su tutte le finestre che avete aperto fino ad ora,\n\t\t\t\t\t\tchiudendole.

\n\t\t\t\t\t

Complimenti! Avete installato MinGW e potete compilare programmi C e C++ da Windows! Avete a disposizione\n\t\t\t\t\t\tgcc e g++ sul Prompt dei Comandi, e potete finalmente creare dei file .exe!

\n\t\t\t\t\n\t\t\t
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Cliccate su ",e("code",null,"Install"),", poi scegliete una cartella di installazione (ricordatevela!) e poi ",e("code",null,"Continue"),". Lasciate stare le altre opzioni, dovrebbero essere tutte spuntate, tranne ",e("code",null,"For all users"),", che dovrebbe essere disattivato."),e("img",{src:"https://i.imgur.com/brdw8Xy.png",alt:""}),e("p",null," Aspettate che finisca il download. Pochi secondi dopo, dovrebbe finire e dovrebbe apparire un tasto",e("code",null,"Continue"),". Premetelo."),e("img",{src:"https://i.imgur.com/aPTwrxz.png",alt:""}),e("p",null," Dovrebbe apparirvi questa finestra. L'installer di MinGW è una specie di gestore pacchetti (tipo ",e("code",null,"apt")," su Ubuntu); potete scegliere quali pacchetti installare, e quindi quali funzionalità."),e("img",{src:"https://i.imgur.com/5QLSkFN.png",alt:""}),e("p",null," Nel nostro caso, dovrebbero servirci ",e("code",null,"mingw32-base-bin")," (per il C e alcune librerie C++) e",e("code",null,"mingw32-gcc-g++-bin")," (per il C++). Cliccate, quindi, sui due quadratini corrispondenti, e premete",e("code",null,"Mark for Installation"),". Dovrebbe comparire una freccia gialla sul quadratino."),e("img",{src:"https://i.imgur.com/zP74nks.png",alt:""}),e("p",null," Ora, è il momento di installare i pacchetti. Aprite il menù ",e("code",null,"Installation"),", poi premete",e("code",null,"Apply Changes"),", e di nuovo ",e("code",null,"Apply"),"."),e("img",{src:"https://i.imgur.com/jp4uz5B.png",alt:""}),e("p",null," Lasciate che scarichi, ci vorrà un po'. Guardatevi un video nel frattempo, fatevi una partitina a qualcosa, tornate dopo circa 10 minuti."),e("img",{src:"https://i.imgur.com/Lq9IepY.png",alt:""}),e("p",null," Una volta installato, dobbiamo aggiungere ",e("code",null,"g++")," ai programmi eseguibili da Prompt dei Comandi: premete il tasto ",e("kbd",null,"Windows"),", e scrivete ",e("code",null,"PATH"),". Windows dovrebbe trovarvi automaticamente quell'opzione."),e("img",{src:"https://i.imgur.com/dy3b5Ub.png",alt:""}),e("p",null," Dentro la finestra di ",e("i",null,"Proprietà del Sistema"),", premete ",e("code",null,"Variabili d'ambiente"),"."),e("img",{src:"https://i.imgur.com/FjYpT1n.png",alt:""}),e("p",null," Trovate la variabile d'ambiente globale ",e("code",null,"Path"),", e fateci doppio click per modificarla."),e("img",{src:"https://i.imgur.com/klZQ9So.png",alt:""}),e("p",null," Ora dovreste vedere l'elenco di tutte le cartelle contenenti programmi eseguibili da terminale: dobbiamo aggiungere quella di MinGW! Premete ",e("code",null,"Sfoglia"),"."),e("img",{src:"https://i.imgur.com/F6lBCqS.png",alt:""}),e("p",null," Trovate la cartella in cui avete installato MinGW (vi avevo detto di ricordarvela!); entrateci, poi selezionate la sottocartella ",e("code",null,"bin")," e premete ",e("code",null,"OK")," su tutte le finestre che avete aperto fino ad ora, chiudendole."),e("p",null," Complimenti! Avete installato MinGW e potete compilare programmi C e C++ da Windows! Avete a disposizione",e("code",null,"gcc")," e ",e("code",null,"g++")," sul Prompt dei Comandi, e potete finalmente creare dei file .exe! 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t=e.getLanguage("cpp").exports;return{aliases:["sqf"],case_insensitive:!0,keywords:{keyword:"case catch default do else exit exitWith for forEach from if private switch then throw to try waitUntil while with",built_in:"abs accTime acos action actionIDs actionKeys actionKeysImages actionKeysNames actionKeysNamesArray actionName actionParams activateAddons activatedAddons activateKey add3DENConnection add3DENEventHandler add3DENLayer addAction addBackpack addBackpackCargo addBackpackCargoGlobal addBackpackGlobal addCamShake addCuratorAddons addCuratorCameraArea addCuratorEditableObjects addCuratorEditingArea addCuratorPoints addEditorObject addEventHandler addForce addGoggles addGroupIcon addHandgunItem addHeadgear addItem addItemCargo addItemCargoGlobal addItemPool addItemToBackpack addItemToUniform addItemToVest addLiveStats addMagazine addMagazineAmmoCargo addMagazineCargo addMagazineCargoGlobal addMagazineGlobal addMagazinePool addMagazines addMagazineTurret addMenu addMenuItem addMissionEventHandler addMPEventHandler addMusicEventHandler addOwnedMine addPlayerScores addPrimaryWeaponItem addPublicVariableEventHandler addRating addResources addScore addScoreSide addSecondaryWeaponItem addSwitchableUnit addTeamMember addToRemainsCollector addTorque addUniform addVehicle addVest addWaypoint addWeapon addWeaponCargo addWeaponCargoGlobal addWeaponGlobal addWeaponItem addWeaponPool addWeaponTurret admin agent agents AGLToASL aimedAtTarget aimPos airDensityRTD airplaneThrottle airportSide AISFinishHeal alive all3DENEntities allAirports allControls allCurators allCutLayers allDead allDeadMen allDisplays allGroups allMapMarkers allMines allMissionObjects allow3DMode allowCrewInImmobile allowCuratorLogicIgnoreAreas allowDamage allowDammage allowFileOperations allowFleeing allowGetIn allowSprint allPlayers allSimpleObjects allSites allTurrets allUnits allUnitsUAV allVariables ammo ammoOnPylon and animate animateBay animateDoor animatePylon animateSource animationNames animationPhase animationSourcePhase animationState append apply armoryPoints arrayIntersect asin ASLToAGL ASLToATL assert assignAsCargo assignAsCargoIndex assignAsCommander assignAsDriver assignAsGunner assignAsTurret assignCurator assignedCargo assignedCommander assignedDriver assignedGunner assignedItems assignedTarget assignedTeam assignedVehicle assignedVehicleRole assignItem assignTeam assignToAirport atan atan2 atg ATLToASL attachedObject attachedObjects attachedTo attachObject attachTo attackEnabled backpack backpackCargo backpackContainer backpackItems backpackMagazines backpackSpaceFor behaviour benchmark binocular boundingBox boundingBoxReal boundingCenter breakOut breakTo briefingName buildingExit buildingPos buttonAction buttonSetAction cadetMode call callExtension camCommand camCommit camCommitPrepared camCommitted camConstuctionSetParams camCreate camDestroy cameraEffect cameraEffectEnableHUD cameraInterest cameraOn cameraView campaignConfigFile camPreload camPreloaded camPrepareBank camPrepareDir camPrepareDive camPrepareFocus camPrepareFov camPrepareFovRange camPreparePos camPrepareRelPos camPrepareTarget camSetBank camSetDir camSetDive camSetFocus camSetFov camSetFovRange camSetPos camSetRelPos camSetTarget camTarget camUseNVG canAdd canAddItemToBackpack canAddItemToUniform canAddItemToVest cancelSimpleTaskDestination canFire canMove canSlingLoad canStand canSuspend canTriggerDynamicSimulation canUnloadInCombat canVehicleCargo captive captiveNum cbChecked cbSetChecked ceil channelEnabled cheatsEnabled checkAIFeature checkVisibility className clearAllItemsFromBackpack clearBackpackCargo clearBackpackCargoGlobal clearGroupIcons clearItemCargo clearItemCargoGlobal clearItemPool clearMagazineCargo clearMagazineCargoGlobal clearMagazinePool clearOverlay clearRadio clearWeaponCargo clearWeaponCargoGlobal clearWeaponPool clientOwner closeDialog closeDisplay closeOverlay collapseObjectTree collect3DENHistory collectiveRTD combatMode commandArtilleryFire commandChat commander commandFire commandFollow commandFSM commandGetOut commandingMenu commandMove commandRadio commandStop commandSuppressiveFire commandTarget commandWatch comment commitOverlay compile compileFinal completedFSM composeText configClasses configFile configHierarchy configName configProperties configSourceAddonList configSourceMod configSourceModList confirmSensorTarget connectTerminalToUAV controlsGroupCtrl copyFromClipboard copyToClipboard copyWaypoints cos count countEnemy countFriendly countSide countType countUnknown create3DENComposition create3DENEntity createAgent createCenter createDialog createDiaryLink createDiaryRecord createDiarySubject createDisplay createGearDialog createGroup createGuardedPoint createLocation createMarker createMarkerLocal createMenu createMine createMissionDisplay createMPCampaignDisplay createSimpleObject createSimpleTask createSite createSoundSource createTask createTeam createTrigger createUnit createVehicle createVehicleCrew createVehicleLocal crew ctAddHeader ctAddRow ctClear ctCurSel ctData ctFindHeaderRows ctFindRowHeader ctHeaderControls ctHeaderCount ctRemoveHeaders ctRemoveRows ctrlActivate ctrlAddEventHandler ctrlAngle ctrlAutoScrollDelay ctrlAutoScrollRewind ctrlAutoScrollSpeed ctrlChecked ctrlClassName ctrlCommit ctrlCommitted ctrlCreate ctrlDelete ctrlEnable ctrlEnabled ctrlFade ctrlHTMLLoaded ctrlIDC ctrlIDD ctrlMapAnimAdd ctrlMapAnimClear ctrlMapAnimCommit ctrlMapAnimDone ctrlMapCursor ctrlMapMouseOver ctrlMapScale ctrlMapScreenToWorld ctrlMapWorldToScreen ctrlModel ctrlModelDirAndUp ctrlModelScale ctrlParent ctrlParentControlsGroup ctrlPosition ctrlRemoveAllEventHandlers ctrlRemoveEventHandler ctrlScale ctrlSetActiveColor ctrlSetAngle ctrlSetAutoScrollDelay ctrlSetAutoScrollRewind ctrlSetAutoScrollSpeed ctrlSetBackgroundColor ctrlSetChecked ctrlSetEventHandler ctrlSetFade ctrlSetFocus ctrlSetFont ctrlSetFontH1 ctrlSetFontH1B ctrlSetFontH2 ctrlSetFontH2B ctrlSetFontH3 ctrlSetFontH3B ctrlSetFontH4 ctrlSetFontH4B ctrlSetFontH5 ctrlSetFontH5B ctrlSetFontH6 ctrlSetFontH6B ctrlSetFontHeight ctrlSetFontHeightH1 ctrlSetFontHeightH2 ctrlSetFontHeightH3 ctrlSetFontHeightH4 ctrlSetFontHeightH5 ctrlSetFontHeightH6 ctrlSetFontHeightSecondary ctrlSetFontP ctrlSetFontPB ctrlSetFontSecondary ctrlSetForegroundColor ctrlSetModel ctrlSetModelDirAndUp ctrlSetModelScale ctrlSetPixelPrecision ctrlSetPosition ctrlSetScale ctrlSetStructuredText ctrlSetText ctrlSetTextColor ctrlSetTooltip ctrlSetTooltipColorBox ctrlSetTooltipColorShade ctrlSetTooltipColorText ctrlShow ctrlShown ctrlText ctrlTextHeight ctrlTextWidth ctrlType ctrlVisible ctRowControls ctRowCount ctSetCurSel ctSetData ctSetHeaderTemplate ctSetRowTemplate ctSetValue ctValue curatorAddons curatorCamera curatorCameraArea curatorCameraAreaCeiling curatorCoef curatorEditableObjects curatorEditingArea curatorEditingAreaType curatorMouseOver curatorPoints curatorRegisteredObjects curatorSelected curatorWaypointCost current3DENOperation currentChannel currentCommand currentMagazine currentMagazineDetail currentMagazineDetailTurret currentMagazineTurret currentMuzzle currentNamespace currentTask currentTasks currentThrowable currentVisionMode currentWaypoint currentWeapon currentWeaponMode currentWeaponTurret currentZeroing cursorObject cursorTarget customChat customRadio cutFadeOut cutObj cutRsc cutText damage date dateToNumber daytime deActivateKey debriefingText debugFSM debugLog deg delete3DENEntities deleteAt deleteCenter deleteCollection deleteEditorObject deleteGroup deleteGroupWhenEmpty deleteIdentity deleteLocation deleteMarker deleteMarkerLocal deleteRange deleteResources deleteSite deleteStatus deleteTeam deleteVehicle deleteVehicleCrew deleteWaypoint detach detectedMines diag_activeMissionFSMs diag_activeScripts diag_activeSQFScripts diag_activeSQSScripts diag_captureFrame diag_captureFrameToFile diag_captureSlowFrame diag_codePerformance diag_drawMode diag_enable diag_enabled diag_fps diag_fpsMin diag_frameNo diag_lightNewLoad diag_list diag_log diag_logSlowFrame diag_mergeConfigFile diag_recordTurretLimits diag_setLightNew diag_tickTime diag_toggle dialog diarySubjectExists didJIP didJIPOwner difficulty difficultyEnabled difficultyEnabledRTD difficultyOption direction directSay disableAI disableCollisionWith disableConversation disableDebriefingStats disableMapIndicators disableNVGEquipment disableRemoteSensors disableSerialization disableTIEquipment disableUAVConnectability disableUserInput displayAddEventHandler displayCtrl displayParent displayRemoveAllEventHandlers displayRemoveEventHandler displaySetEventHandler dissolveTeam distance distance2D distanceSqr distributionRegion do3DENAction doArtilleryFire doFire doFollow doFSM doGetOut doMove doorPhase doStop doSuppressiveFire doTarget doWatch drawArrow drawEllipse drawIcon drawIcon3D drawLine drawLine3D drawLink drawLocation drawPolygon drawRectangle drawTriangle driver drop dynamicSimulationDistance dynamicSimulationDistanceCoef dynamicSimulationEnabled dynamicSimulationSystemEnabled echo edit3DENMissionAttributes editObject editorSetEventHandler effectiveCommander emptyPositions enableAI enableAIFeature enableAimPrecision enableAttack enableAudioFeature enableAutoStartUpRTD enableAutoTrimRTD enableCamShake enableCaustics enableChannel enableCollisionWith enableCopilot enableDebriefingStats enableDiagLegend enableDynamicSimulation enableDynamicSimulationSystem enableEndDialog enableEngineArtillery enableEnvironment enableFatigue enableGunLights enableInfoPanelComponent enableIRLasers enableMimics enablePersonTurret enableRadio enableReload enableRopeAttach enableSatNormalOnDetail enableSaving enableSentences enableSimulation enableSimulationGlobal enableStamina enableTeamSwitch enableTraffic enableUAVConnectability enableUAVWaypoints enableVehicleCargo enableVehicleSensor enableWeaponDisassembly endLoadingScreen endMission engineOn enginesIsOnRTD enginesRpmRTD enginesTorqueRTD entities environmentEnabled estimatedEndServerTime estimatedTimeLeft evalObjectArgument everyBackpack everyContainer exec execEditorScript execFSM execVM exp expectedDestination exportJIPMessages eyeDirection eyePos face faction fadeMusic fadeRadio fadeSound fadeSpeech failMission fillWeaponsFromPool find findCover findDisplay findEditorObject findEmptyPosition findEmptyPositionReady findIf findNearestEnemy finishMissionInit finite fire fireAtTarget firstBackpack flag flagAnimationPhase flagOwner flagSide flagTexture fleeing floor flyInHeight flyInHeightASL fog fogForecast fogParams forceAddUniform forcedMap forceEnd forceFlagTexture forceFollowRoad forceMap forceRespawn forceSpeed forceWalk forceWeaponFire forceWeatherChange forEachMember forEachMemberAgent forEachMemberTeam forgetTarget format formation formationDirection formationLeader formationMembers formationPosition formationTask formatText formLeader freeLook fromEditor fuel fullCrew gearIDCAmmoCount gearSlotAmmoCount gearSlotData get3DENActionState get3DENAttribute get3DENCamera get3DENConnections get3DENEntity get3DENEntityID get3DENGrid get3DENIconsVisible get3DENLayerEntities get3DENLinesVisible get3DENMissionAttribute get3DENMouseOver get3DENSelected getAimingCoef getAllEnvSoundControllers getAllHitPointsDamage getAllOwnedMines getAllSoundControllers getAmmoCargo getAnimAimPrecision getAnimSpeedCoef getArray getArtilleryAmmo getArtilleryComputerSettings getArtilleryETA getAssignedCuratorLogic getAssignedCuratorUnit getBackpackCargo getBleedingRemaining getBurningValue getCameraViewDirection getCargoIndex getCenterOfMass getClientState getClientStateNumber getCompatiblePylonMagazines getConnectedUAV getContainerMaxLoad getCursorObjectParams getCustomAimCoef getDammage getDescription getDir getDirVisual getDLCAssetsUsage getDLCAssetsUsageByName getDLCs getEditorCamera getEditorMode getEditorObjectScope getElevationOffset getEnvSoundController getFatigue getForcedFlagTexture getFriend getFSMVariable getFuelCargo getGroupIcon getGroupIconParams getGroupIcons getHideFrom getHit getHitIndex getHitPointDamage getItemCargo getMagazineCargo getMarkerColor getMarkerPos getMarkerSize getMarkerType getMass getMissionConfig getMissionConfigValue getMissionDLCs getMissionLayerEntities getModelInfo getMousePosition getMusicPlayedTime getNumber getObjectArgument getObjectChildren getObjectDLC getObjectMaterials getObjectProxy getObjectTextures getObjectType getObjectViewDistance getOxygenRemaining getPersonUsedDLCs getPilotCameraDirection getPilotCameraPosition getPilotCameraRotation getPilotCameraTarget getPlateNumber getPlayerChannel getPlayerScores getPlayerUID getPos getPosASL getPosASLVisual getPosASLW getPosATL getPosATLVisual getPosVisual getPosWorld getPylonMagazines getRelDir getRelPos getRemoteSensorsDisabled getRepairCargo getResolution getShadowDistance getShotParents getSlingLoad getSoundController getSoundControllerResult getSpeed getStamina getStatValue getSuppression getTerrainGrid getTerrainHeightASL getText getTotalDLCUsageTime getUnitLoadout getUnitTrait getUserMFDText getUserMFDvalue getVariable getVehicleCargo getWeaponCargo getWeaponSway getWingsOrientationRTD getWingsPositionRTD getWPPos glanceAt globalChat globalRadio goggles goto group groupChat groupFromNetId groupIconSelectable groupIconsVisible groupId groupOwner groupRadio groupSelectedUnits groupSelectUnit gunner gusts halt handgunItems handgunMagazine handgunWeapon handsHit hasInterface hasPilotCamera hasWeapon hcAllGroups hcGroupParams hcLeader hcRemoveAllGroups hcRemoveGroup hcSelected hcSelectGroup hcSetGroup hcShowBar hcShownBar headgear hideBody hideObject hideObjectGlobal hideSelection hint hintC hintCadet hintSilent hmd hostMission htmlLoad HUDMovementLevels humidity image importAllGroups importance in inArea inAreaArray incapacitatedState inflame inflamed infoPanel infoPanelComponentEnabled infoPanelComponents infoPanels inGameUISetEventHandler inheritsFrom initAmbientLife inPolygon inputAction inRangeOfArtillery insertEditorObject intersect is3DEN is3DENMultiplayer isAbleToBreathe isAgent isArray isAutoHoverOn isAutonomous isAutotest isBleeding isBurning isClass isCollisionLightOn isCopilotEnabled isDamageAllowed isDedicated isDLCAvailable isEngineOn isEqualTo isEqualType isEqualTypeAll isEqualTypeAny isEqualTypeArray isEqualTypeParams isFilePatchingEnabled isFlashlightOn isFlatEmpty isForcedWalk isFormationLeader isGroupDeletedWhenEmpty isHidden isInRemainsCollector isInstructorFigureEnabled isIRLaserOn isKeyActive isKindOf isLaserOn isLightOn isLocalized isManualFire isMarkedForCollection isMultiplayer isMultiplayerSolo isNil isNull isNumber isObjectHidden isObjectRTD isOnRoad isPipEnabled isPlayer isRealTime isRemoteExecuted isRemoteExecutedJIP isServer isShowing3DIcons isSimpleObject isSprintAllowed isStaminaEnabled isSteamMission isStreamFriendlyUIEnabled isText isTouchingGround isTurnedOut isTutHintsEnabled isUAVConnectable isUAVConnected isUIContext isUniformAllowed isVehicleCargo isVehicleRadarOn isVehicleSensorEnabled isWalking isWeaponDeployed isWeaponRested itemCargo items itemsWithMagazines join joinAs joinAsSilent joinSilent joinString kbAddDatabase kbAddDatabaseTargets kbAddTopic kbHasTopic kbReact kbRemoveTopic kbTell kbWasSaid keyImage keyName knowsAbout land landAt landResult language laserTarget lbAdd lbClear lbColor lbColorRight lbCurSel lbData lbDelete lbIsSelected lbPicture lbPictureRight lbSelection lbSetColor lbSetColorRight lbSetCurSel lbSetData lbSetPicture lbSetPictureColor lbSetPictureColorDisabled lbSetPictureColorSelected lbSetPictureRight lbSetPictureRightColor lbSetPictureRightColorDisabled lbSetPictureRightColorSelected lbSetSelectColor lbSetSelectColorRight lbSetSelected lbSetText lbSetTextRight lbSetTooltip lbSetValue lbSize lbSort lbSortByValue lbText lbTextRight lbValue leader leaderboardDeInit leaderboardGetRows leaderboardInit leaderboardRequestRowsFriends leaderboardsRequestUploadScore leaderboardsRequestUploadScoreKeepBest leaderboardState leaveVehicle libraryCredits libraryDisclaimers lifeState lightAttachObject lightDetachObject lightIsOn lightnings limitSpeed linearConversion lineIntersects lineIntersectsObjs lineIntersectsSurfaces lineIntersectsWith linkItem list listObjects listRemoteTargets listVehicleSensors ln lnbAddArray lnbAddColumn lnbAddRow lnbClear lnbColor lnbCurSelRow lnbData lnbDeleteColumn lnbDeleteRow lnbGetColumnsPosition lnbPicture lnbSetColor lnbSetColumnsPos lnbSetCurSelRow lnbSetData lnbSetPicture lnbSetText lnbSetValue lnbSize lnbSort lnbSortByValue lnbText lnbValue load loadAbs loadBackpack loadFile loadGame loadIdentity loadMagazine loadOverlay loadStatus loadUniform loadVest local localize locationPosition lock lockCameraTo lockCargo lockDriver locked lockedCargo lockedDriver lockedTurret lockIdentity lockTurret lockWP log logEntities logNetwork logNetworkTerminate lookAt lookAtPos magazineCargo magazines magazinesAllTurrets magazinesAmmo magazinesAmmoCargo magazinesAmmoFull magazinesDetail magazinesDetailBackpack magazinesDetailUniform magazinesDetailVest magazinesTurret magazineTurretAmmo mapAnimAdd mapAnimClear mapAnimCommit mapAnimDone mapCenterOnCamera mapGridPosition markAsFinishedOnSteam markerAlpha markerBrush markerColor markerDir markerPos markerShape markerSize markerText markerType max members menuAction menuAdd menuChecked menuClear menuCollapse menuData menuDelete menuEnable menuEnabled menuExpand menuHover menuPicture menuSetAction menuSetCheck menuSetData menuSetPicture menuSetValue menuShortcut menuShortcutText menuSize menuSort menuText menuURL menuValue min mineActive mineDetectedBy missionConfigFile missionDifficulty missionName missionNamespace missionStart missionVersion mod modelToWorld modelToWorldVisual modelToWorldVisualWorld modelToWorldWorld modParams moonIntensity moonPhase morale move move3DENCamera moveInAny moveInCargo moveInCommander moveInDriver moveInGunner moveInTurret moveObjectToEnd moveOut moveTime moveTo moveToCompleted moveToFailed musicVolume name nameSound nearEntities nearestBuilding nearestLocation nearestLocations nearestLocationWithDubbing nearestObject nearestObjects nearestTerrainObjects nearObjects nearObjectsReady nearRoads nearSupplies nearTargets needReload netId netObjNull newOverlay nextMenuItemIndex nextWeatherChange nMenuItems not numberOfEnginesRTD numberToDate objectCurators objectFromNetId objectParent objStatus onBriefingGroup onBriefingNotes onBriefingPlan onBriefingTeamSwitch onCommandModeChanged onDoubleClick onEachFrame onGroupIconClick onGroupIconOverEnter onGroupIconOverLeave onHCGroupSelectionChanged onMapSingleClick onPlayerConnected onPlayerDisconnected onPreloadFinished onPreloadStarted onShowNewObject onTeamSwitch openCuratorInterface openDLCPage openMap openSteamApp openYoutubeVideo or orderGetIn overcast overcastForecast owner param params parseNumber parseSimpleArray parseText parsingNamespace particlesQuality pickWeaponPool pitch pixelGrid pixelGridBase pixelGridNoUIScale pixelH pixelW playableSlotsNumber playableUnits playAction playActionNow player playerRespawnTime playerSide playersNumber playGesture playMission playMove playMoveNow playMusic playScriptedMission playSound playSound3D position positionCameraToWorld posScreenToWorld posWorldToScreen ppEffectAdjust ppEffectCommit ppEffectCommitted ppEffectCreate ppEffectDestroy ppEffectEnable ppEffectEnabled ppEffectForceInNVG precision preloadCamera preloadObject preloadSound preloadTitleObj preloadTitleRsc preprocessFile preprocessFileLineNumbers primaryWeapon primaryWeaponItems primaryWeaponMagazine priority processDiaryLink productVersion profileName profileNamespace profileNameSteam progressLoadingScreen progressPosition progressSetPosition publicVariable publicVariableClient publicVariableServer pushBack pushBackUnique putWeaponPool queryItemsPool queryMagazinePool queryWeaponPool rad radioChannelAdd radioChannelCreate radioChannelRemove radioChannelSetCallSign radioChannelSetLabel radioVolume rain rainbow random rank rankId rating rectangular registeredTasks registerTask reload reloadEnabled remoteControl remoteExec remoteExecCall remoteExecutedOwner remove3DENConnection remove3DENEventHandler remove3DENLayer removeAction removeAll3DENEventHandlers removeAllActions removeAllAssignedItems removeAllContainers removeAllCuratorAddons removeAllCuratorCameraAreas removeAllCuratorEditingAreas removeAllEventHandlers removeAllHandgunItems removeAllItems removeAllItemsWithMagazines removeAllMissionEventHandlers removeAllMPEventHandlers removeAllMusicEventHandlers removeAllOwnedMines removeAllPrimaryWeaponItems removeAllWeapons removeBackpack removeBackpackGlobal removeCuratorAddons removeCuratorCameraArea removeCuratorEditableObjects removeCuratorEditingArea removeDrawIcon removeDrawLinks removeEventHandler removeFromRemainsCollector removeGoggles removeGroupIcon removeHandgunItem removeHeadgear removeItem removeItemFromBackpack removeItemFromUniform removeItemFromVest removeItems removeMagazine removeMagazineGlobal removeMagazines removeMagazinesTurret removeMagazineTurret removeMenuItem removeMissionEventHandler removeMPEventHandler removeMusicEventHandler removeOwnedMine removePrimaryWeaponItem removeSecondaryWeaponItem removeSimpleTask removeSwitchableUnit removeTeamMember removeUniform removeVest removeWeapon removeWeaponAttachmentCargo removeWeaponCargo removeWeaponGlobal removeWeaponTurret reportRemoteTarget requiredVersion resetCamShake resetSubgroupDirection resize resources respawnVehicle restartEditorCamera reveal revealMine reverse reversedMouseY roadAt roadsConnectedTo roleDescription ropeAttachedObjects ropeAttachedTo ropeAttachEnabled ropeAttachTo ropeCreate ropeCut ropeDestroy ropeDetach ropeEndPosition ropeLength ropes ropeUnwind ropeUnwound rotorsForcesRTD rotorsRpmRTD round runInitScript safeZoneH safeZoneW safeZoneWAbs safeZoneX safeZoneXAbs safeZoneY save3DENInventory saveGame saveIdentity saveJoysticks saveOverlay saveProfileNamespace saveStatus saveVar savingEnabled say say2D say3D scopeName score scoreSide screenshot screenToWorld scriptDone scriptName scudState secondaryWeapon secondaryWeaponItems secondaryWeaponMagazine select selectBestPlaces selectDiarySubject selectedEditorObjects selectEditorObject selectionNames selectionPosition selectLeader selectMax selectMin selectNoPlayer selectPlayer selectRandom selectRandomWeighted selectWeapon selectWeaponTurret sendAUMessage sendSimpleCommand sendTask sendTaskResult sendUDPMessage serverCommand serverCommandAvailable serverCommandExecutable serverName serverTime set set3DENAttribute set3DENAttributes set3DENGrid set3DENIconsVisible set3DENLayer set3DENLinesVisible set3DENLogicType set3DENMissionAttribute set3DENMissionAttributes set3DENModelsVisible set3DENObjectType set3DENSelected setAccTime setActualCollectiveRTD setAirplaneThrottle setAirportSide setAmmo setAmmoCargo setAmmoOnPylon setAnimSpeedCoef setAperture setApertureNew setArmoryPoints setAttributes setAutonomous setBehaviour setBleedingRemaining setBrakesRTD setCameraInterest setCamShakeDefParams setCamShakeParams setCamUseTI setCaptive setCenterOfMass setCollisionLight setCombatMode setCompassOscillation setConvoySeparation setCuratorCameraAreaCeiling setCuratorCoef setCuratorEditingAreaType setCuratorWaypointCost setCurrentChannel setCurrentTask setCurrentWaypoint setCustomAimCoef setCustomWeightRTD setDamage setDammage setDate setDebriefingText setDefaultCamera setDestination setDetailMapBlendPars setDir setDirection setDrawIcon setDriveOnPath setDropInterval setDynamicSimulationDistance setDynamicSimulationDistanceCoef setEditorMode setEditorObjectScope setEffectCondition setEngineRPMRTD setFace setFaceAnimation setFatigue setFeatureType setFlagAnimationPhase setFlagOwner setFlagSide setFlagTexture setFog setFormation setFormationTask setFormDir setFriend setFromEditor setFSMVariable setFuel setFuelCargo setGroupIcon setGroupIconParams setGroupIconsSelectable setGroupIconsVisible setGroupId setGroupIdGlobal setGroupOwner setGusts setHideBehind setHit setHitIndex setHitPointDamage setHorizonParallaxCoef setHUDMovementLevels setIdentity setImportance setInfoPanel setLeader setLightAmbient setLightAttenuation setLightBrightness setLightColor setLightDayLight setLightFlareMaxDistance setLightFlareSize setLightIntensity setLightnings setLightUseFlare setLocalWindParams setMagazineTurretAmmo setMarkerAlpha setMarkerAlphaLocal setMarkerBrush setMarkerBrushLocal setMarkerColor setMarkerColorLocal setMarkerDir setMarkerDirLocal setMarkerPos setMarkerPosLocal setMarkerShape setMarkerShapeLocal setMarkerSize setMarkerSizeLocal setMarkerText setMarkerTextLocal setMarkerType setMarkerTypeLocal setMass setMimic setMousePosition setMusicEffect setMusicEventHandler setName setNameSound setObjectArguments setObjectMaterial setObjectMaterialGlobal setObjectProxy setObjectTexture setObjectTextureGlobal setObjectViewDistance setOvercast setOwner setOxygenRemaining setParticleCircle setParticleClass setParticleFire setParticleParams setParticleRandom setPilotCameraDirection setPilotCameraRotation setPilotCameraTarget setPilotLight setPiPEffect setPitch setPlateNumber setPlayable setPlayerRespawnTime setPos setPosASL setPosASL2 setPosASLW setPosATL setPosition setPosWorld setPylonLoadOut setPylonsPriority setRadioMsg setRain setRainbow setRandomLip setRank setRectangular setRepairCargo setRotorBrakeRTD setShadowDistance setShotParents setSide setSimpleTaskAlwaysVisible setSimpleTaskCustomData setSimpleTaskDescription setSimpleTaskDestination setSimpleTaskTarget setSimpleTaskType setSimulWeatherLayers setSize setSkill setSlingLoad setSoundEffect setSpeaker setSpeech setSpeedMode setStamina setStaminaScheme setStatValue setSuppression setSystemOfUnits setTargetAge setTaskMarkerOffset setTaskResult setTaskState setTerrainGrid setText setTimeMultiplier setTitleEffect setTrafficDensity setTrafficDistance setTrafficGap setTrafficSpeed setTriggerActivation setTriggerArea setTriggerStatements setTriggerText setTriggerTimeout setTriggerType setType setUnconscious setUnitAbility setUnitLoadout setUnitPos setUnitPosWeak setUnitRank setUnitRecoilCoefficient setUnitTrait setUnloadInCombat setUserActionText setUserMFDText setUserMFDvalue setVariable setVectorDir setVectorDirAndUp setVectorUp setVehicleAmmo setVehicleAmmoDef setVehicleArmor setVehicleCargo setVehicleId setVehicleLock setVehiclePosition setVehicleRadar setVehicleReceiveRemoteTargets setVehicleReportOwnPosition setVehicleReportRemoteTargets setVehicleTIPars setVehicleVarName setVelocity setVelocityModelSpace setVelocityTransformation setViewDistance setVisibleIfTreeCollapsed setWantedRPMRTD setWaves setWaypointBehaviour setWaypointCombatMode setWaypointCompletionRadius setWaypointDescription setWaypointForceBehaviour setWaypointFormation setWaypointHousePosition setWaypointLoiterRadius setWaypointLoiterType setWaypointName setWaypointPosition setWaypointScript setWaypointSpeed setWaypointStatements setWaypointTimeout setWaypointType setWaypointVisible setWeaponReloadingTime setWind setWindDir setWindForce setWindStr setWingForceScaleRTD setWPPos show3DIcons showChat showCinemaBorder showCommandingMenu showCompass showCuratorCompass showGPS showHUD showLegend showMap shownArtilleryComputer shownChat shownCompass shownCuratorCompass showNewEditorObject shownGPS shownHUD shownMap shownPad shownRadio shownScoretable shownUAVFeed shownWarrant shownWatch showPad showRadio showScoretable showSubtitles showUAVFeed showWarrant showWatch showWaypoint showWaypoints side sideChat sideEnemy sideFriendly sideRadio simpleTasks simulationEnabled simulCloudDensity simulCloudOcclusion simulInClouds simulWeatherSync sin size sizeOf skill skillFinal skipTime sleep sliderPosition sliderRange sliderSetPosition sliderSetRange sliderSetSpeed sliderSpeed slingLoadAssistantShown soldierMagazines someAmmo sort soundVolume spawn speaker speed speedMode splitString sqrt squadParams stance startLoadingScreen step stop stopEngineRTD stopped str sunOrMoon supportInfo suppressFor surfaceIsWater surfaceNormal surfaceType swimInDepth switchableUnits switchAction switchCamera switchGesture switchLight switchMove synchronizedObjects synchronizedTriggers synchronizedWaypoints synchronizeObjectsAdd synchronizeObjectsRemove synchronizeTrigger synchronizeWaypoint systemChat systemOfUnits tan targetKnowledge targets targetsAggregate targetsQuery taskAlwaysVisible taskChildren taskCompleted taskCustomData taskDescription taskDestination taskHint taskMarkerOffset taskParent taskResult taskState taskType teamMember teamName teams teamSwitch teamSwitchEnabled teamType terminate terrainIntersect terrainIntersectASL terrainIntersectAtASL text textLog textLogFormat tg time timeMultiplier titleCut titleFadeOut titleObj titleRsc titleText toArray toFixed toLower toString toUpper triggerActivated triggerActivation triggerArea triggerAttachedVehicle triggerAttachObject triggerAttachVehicle triggerDynamicSimulation triggerStatements triggerText triggerTimeout triggerTimeoutCurrent triggerType turretLocal turretOwner turretUnit tvAdd tvClear tvCollapse tvCollapseAll tvCount tvCurSel tvData tvDelete tvExpand tvExpandAll tvPicture tvSetColor tvSetCurSel tvSetData tvSetPicture tvSetPictureColor tvSetPictureColorDisabled tvSetPictureColorSelected tvSetPictureRight tvSetPictureRightColor tvSetPictureRightColorDisabled tvSetPictureRightColorSelected tvSetText tvSetTooltip tvSetValue tvSort tvSortByValue tvText tvTooltip tvValue type typeName typeOf UAVControl uiNamespace uiSleep unassignCurator unassignItem unassignTeam unassignVehicle underwater uniform uniformContainer uniformItems uniformMagazines unitAddons unitAimPosition unitAimPositionVisual unitBackpack unitIsUAV unitPos unitReady unitRecoilCoefficient units unitsBelowHeight unlinkItem unlockAchievement unregisterTask updateDrawIcon updateMenuItem updateObjectTree useAISteeringComponent useAudioTimeForMoves userInputDisabled vectorAdd vectorCos vectorCrossProduct vectorDiff vectorDir vectorDirVisual vectorDistance vectorDistanceSqr vectorDotProduct vectorFromTo vectorMagnitude vectorMagnitudeSqr vectorModelToWorld vectorModelToWorldVisual vectorMultiply vectorNormalized vectorUp vectorUpVisual vectorWorldToModel vectorWorldToModelVisual vehicle vehicleCargoEnabled vehicleChat vehicleRadio vehicleReceiveRemoteTargets vehicleReportOwnPosition vehicleReportRemoteTargets vehicles vehicleVarName velocity velocityModelSpace verifySignature vest vestContainer vestItems vestMagazines viewDistance visibleCompass visibleGPS visibleMap visiblePosition visiblePositionASL visibleScoretable visibleWatch waves waypointAttachedObject waypointAttachedVehicle waypointAttachObject waypointAttachVehicle waypointBehaviour waypointCombatMode waypointCompletionRadius waypointDescription 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audio_get_name audio_sound_set_track_position audio_sound_get_track_position audio_create_stream audio_destroy_stream audio_create_sync_group audio_destroy_sync_group audio_play_in_sync_group audio_start_sync_group audio_stop_sync_group audio_pause_sync_group audio_resume_sync_group audio_sync_group_get_track_pos audio_sync_group_debug audio_sync_group_is_playing audio_debug audio_group_load audio_group_unload audio_group_is_loaded audio_group_load_progress audio_group_name audio_group_stop_all audio_group_set_gain audio_create_buffer_sound audio_free_buffer_sound audio_create_play_queue audio_free_play_queue audio_queue_sound audio_get_recorder_count audio_get_recorder_info audio_start_recording audio_stop_recording audio_sound_get_listener_mask audio_emitter_get_listener_mask audio_get_listener_mask audio_sound_set_listener_mask audio_emitter_set_listener_mask audio_set_listener_mask audio_get_listener_count audio_get_listener_info audio_system show_message show_message_async clickable_add clickable_add_ext clickable_change clickable_change_ext clickable_delete clickable_exists clickable_set_style show_question show_question_async get_integer get_string get_integer_async get_string_async get_login_async get_open_filename get_save_filename get_open_filename_ext get_save_filename_ext show_error highscore_clear highscore_add highscore_value highscore_name draw_highscore sprite_exists sprite_get_name sprite_get_number sprite_get_width sprite_get_height sprite_get_xoffset sprite_get_yoffset sprite_get_bbox_left sprite_get_bbox_right sprite_get_bbox_top sprite_get_bbox_bottom sprite_save sprite_save_strip sprite_set_cache_size sprite_set_cache_size_ext sprite_get_tpe sprite_prefetch sprite_prefetch_multi sprite_flush sprite_flush_multi sprite_set_speed sprite_get_speed_type sprite_get_speed font_exists font_get_name font_get_fontname font_get_bold font_get_italic font_get_first font_get_last font_get_size font_set_cache_size path_exists path_get_name path_get_length path_get_time path_get_kind path_get_closed path_get_precision path_get_number path_get_point_x path_get_point_y path_get_point_speed path_get_x path_get_y path_get_speed script_exists script_get_name timeline_add timeline_delete timeline_clear timeline_exists timeline_get_name timeline_moment_clear timeline_moment_add_script timeline_size timeline_max_moment object_exists object_get_name object_get_sprite object_get_solid object_get_visible object_get_persistent object_get_mask object_get_parent object_get_physics object_is_ancestor room_exists room_get_name sprite_set_offset sprite_duplicate sprite_assign sprite_merge sprite_add sprite_replace sprite_create_from_surface sprite_add_from_surface sprite_delete sprite_set_alpha_from_sprite sprite_collision_mask font_add_enable_aa font_add_get_enable_aa font_add font_add_sprite font_add_sprite_ext font_replace font_replace_sprite font_replace_sprite_ext font_delete path_set_kind path_set_closed path_set_precision path_add path_assign path_duplicate path_append path_delete path_add_point path_insert_point path_change_point path_delete_point path_clear_points path_reverse path_mirror path_flip path_rotate path_rescale path_shift script_execute object_set_sprite object_set_solid object_set_visible object_set_persistent object_set_mask room_set_width room_set_height room_set_persistent room_set_background_colour room_set_background_color room_set_view room_set_viewport room_get_viewport room_set_view_enabled room_add room_duplicate room_assign room_instance_add room_instance_clear room_get_camera room_set_camera asset_get_index asset_get_type file_text_open_from_string file_text_open_read file_text_open_write file_text_open_append file_text_close file_text_write_string file_text_write_real file_text_writeln file_text_read_string file_text_read_real file_text_readln file_text_eof file_text_eoln file_exists file_delete file_rename file_copy directory_exists directory_create directory_destroy file_find_first file_find_next file_find_close file_attributes filename_name filename_path filename_dir filename_drive filename_ext filename_change_ext file_bin_open file_bin_rewrite file_bin_close file_bin_position file_bin_size file_bin_seek file_bin_write_byte file_bin_read_byte parameter_count parameter_string environment_get_variable ini_open_from_string ini_open ini_close ini_read_string ini_read_real ini_write_string ini_write_real ini_key_exists ini_section_exists ini_key_delete ini_section_delete ds_set_precision ds_exists ds_stack_create ds_stack_destroy ds_stack_clear ds_stack_copy ds_stack_size ds_stack_empty ds_stack_push ds_stack_pop ds_stack_top ds_stack_write ds_stack_read ds_queue_create ds_queue_destroy ds_queue_clear ds_queue_copy ds_queue_size ds_queue_empty ds_queue_enqueue ds_queue_dequeue ds_queue_head ds_queue_tail ds_queue_write ds_queue_read ds_list_create ds_list_destroy ds_list_clear ds_list_copy ds_list_size ds_list_empty ds_list_add ds_list_insert ds_list_replace ds_list_delete ds_list_find_index ds_list_find_value ds_list_mark_as_list ds_list_mark_as_map ds_list_sort ds_list_shuffle ds_list_write ds_list_read ds_list_set ds_map_create ds_map_destroy ds_map_clear ds_map_copy ds_map_size ds_map_empty ds_map_add ds_map_add_list ds_map_add_map ds_map_replace ds_map_replace_map ds_map_replace_list ds_map_delete ds_map_exists ds_map_find_value ds_map_find_previous ds_map_find_next ds_map_find_first ds_map_find_last ds_map_write ds_map_read ds_map_secure_save ds_map_secure_load ds_map_secure_load_buffer ds_map_secure_save_buffer ds_map_set ds_priority_create ds_priority_destroy ds_priority_clear ds_priority_copy ds_priority_size ds_priority_empty ds_priority_add ds_priority_change_priority ds_priority_find_priority ds_priority_delete_value ds_priority_delete_min ds_priority_find_min ds_priority_delete_max ds_priority_find_max ds_priority_write ds_priority_read ds_grid_create ds_grid_destroy ds_grid_copy ds_grid_resize ds_grid_width ds_grid_height ds_grid_clear ds_grid_set ds_grid_add ds_grid_multiply ds_grid_set_region ds_grid_add_region ds_grid_multiply_region ds_grid_set_disk ds_grid_add_disk ds_grid_multiply_disk ds_grid_set_grid_region ds_grid_add_grid_region ds_grid_multiply_grid_region ds_grid_get ds_grid_get_sum ds_grid_get_max ds_grid_get_min ds_grid_get_mean ds_grid_get_disk_sum ds_grid_get_disk_min ds_grid_get_disk_max ds_grid_get_disk_mean ds_grid_value_exists ds_grid_value_x ds_grid_value_y ds_grid_value_disk_exists ds_grid_value_disk_x ds_grid_value_disk_y ds_grid_shuffle ds_grid_write ds_grid_read ds_grid_sort ds_grid_set ds_grid_get effect_create_below effect_create_above effect_clear part_type_create part_type_destroy part_type_exists part_type_clear part_type_shape part_type_sprite part_type_size part_type_scale part_type_orientation part_type_life part_type_step part_type_death part_type_speed part_type_direction part_type_gravity part_type_colour1 part_type_colour2 part_type_colour3 part_type_colour_mix part_type_colour_rgb part_type_colour_hsv part_type_color1 part_type_color2 part_type_color3 part_type_color_mix part_type_color_rgb part_type_color_hsv part_type_alpha1 part_type_alpha2 part_type_alpha3 part_type_blend part_system_create part_system_create_layer part_system_destroy part_system_exists part_system_clear part_system_draw_order part_system_depth part_system_position part_system_automatic_update part_system_automatic_draw part_system_update part_system_drawit part_system_get_layer part_system_layer part_particles_create part_particles_create_colour part_particles_create_color part_particles_clear part_particles_count part_emitter_create part_emitter_destroy part_emitter_destroy_all part_emitter_exists part_emitter_clear part_emitter_region part_emitter_burst part_emitter_stream external_call external_define external_free window_handle window_device matrix_get matrix_set matrix_build_identity matrix_build matrix_build_lookat matrix_build_projection_ortho matrix_build_projection_perspective matrix_build_projection_perspective_fov matrix_multiply matrix_transform_vertex matrix_stack_push matrix_stack_pop matrix_stack_multiply matrix_stack_set matrix_stack_clear matrix_stack_top matrix_stack_is_empty browser_input_capture os_get_config os_get_info os_get_language os_get_region os_lock_orientation display_get_dpi_x display_get_dpi_y display_set_gui_size display_set_gui_maximise display_set_gui_maximize device_mouse_dbclick_enable display_set_timing_method display_get_timing_method display_set_sleep_margin display_get_sleep_margin virtual_key_add virtual_key_hide virtual_key_delete virtual_key_show draw_enable_drawevent draw_enable_swf_aa draw_set_swf_aa_level draw_get_swf_aa_level draw_texture_flush draw_flush gpu_set_blendenable gpu_set_ztestenable gpu_set_zfunc gpu_set_zwriteenable gpu_set_lightingenable gpu_set_fog gpu_set_cullmode gpu_set_blendmode gpu_set_blendmode_ext gpu_set_blendmode_ext_sepalpha gpu_set_colorwriteenable gpu_set_colourwriteenable gpu_set_alphatestenable gpu_set_alphatestref gpu_set_alphatestfunc gpu_set_texfilter gpu_set_texfilter_ext gpu_set_texrepeat gpu_set_texrepeat_ext gpu_set_tex_filter gpu_set_tex_filter_ext gpu_set_tex_repeat gpu_set_tex_repeat_ext gpu_set_tex_mip_filter gpu_set_tex_mip_filter_ext gpu_set_tex_mip_bias gpu_set_tex_mip_bias_ext gpu_set_tex_min_mip gpu_set_tex_min_mip_ext gpu_set_tex_max_mip gpu_set_tex_max_mip_ext gpu_set_tex_max_aniso gpu_set_tex_max_aniso_ext gpu_set_tex_mip_enable gpu_set_tex_mip_enable_ext gpu_get_blendenable gpu_get_ztestenable gpu_get_zfunc gpu_get_zwriteenable gpu_get_lightingenable gpu_get_fog gpu_get_cullmode gpu_get_blendmode gpu_get_blendmode_ext gpu_get_blendmode_ext_sepalpha gpu_get_blendmode_src gpu_get_blendmode_dest gpu_get_blendmode_srcalpha gpu_get_blendmode_destalpha gpu_get_colorwriteenable gpu_get_colourwriteenable gpu_get_alphatestenable gpu_get_alphatestref gpu_get_alphatestfunc gpu_get_texfilter gpu_get_texfilter_ext gpu_get_texrepeat gpu_get_texrepeat_ext gpu_get_tex_filter gpu_get_tex_filter_ext gpu_get_tex_repeat gpu_get_tex_repeat_ext gpu_get_tex_mip_filter gpu_get_tex_mip_filter_ext gpu_get_tex_mip_bias gpu_get_tex_mip_bias_ext gpu_get_tex_min_mip gpu_get_tex_min_mip_ext gpu_get_tex_max_mip gpu_get_tex_max_mip_ext gpu_get_tex_max_aniso gpu_get_tex_max_aniso_ext gpu_get_tex_mip_enable gpu_get_tex_mip_enable_ext gpu_push_state gpu_pop_state gpu_get_state gpu_set_state draw_light_define_ambient draw_light_define_direction draw_light_define_point draw_light_enable draw_set_lighting draw_light_get_ambient draw_light_get draw_get_lighting shop_leave_rating url_get_domain url_open url_open_ext url_open_full get_timer achievement_login achievement_logout achievement_post achievement_increment achievement_post_score achievement_available achievement_show_achievements achievement_show_leaderboards achievement_load_friends achievement_load_leaderboard achievement_send_challenge achievement_load_progress achievement_reset achievement_login_status achievement_get_pic achievement_show_challenge_notifications achievement_get_challenges achievement_event achievement_show achievement_get_info cloud_file_save cloud_string_save cloud_synchronise ads_enable ads_disable ads_setup ads_engagement_launch ads_engagement_available ads_engagement_active ads_event ads_event_preload ads_set_reward_callback ads_get_display_height ads_get_display_width ads_move ads_interstitial_available ads_interstitial_display device_get_tilt_x device_get_tilt_y device_get_tilt_z device_is_keypad_open device_mouse_check_button device_mouse_check_button_pressed device_mouse_check_button_released device_mouse_x device_mouse_y device_mouse_raw_x device_mouse_raw_y device_mouse_x_to_gui device_mouse_y_to_gui iap_activate iap_status iap_enumerate_products iap_restore_all iap_acquire iap_consume iap_product_details iap_purchase_details facebook_init facebook_login facebook_status facebook_graph_request facebook_dialog facebook_logout facebook_launch_offerwall facebook_post_message facebook_send_invite facebook_user_id facebook_accesstoken facebook_check_permission facebook_request_read_permissions facebook_request_publish_permissions gamepad_is_supported gamepad_get_device_count gamepad_is_connected gamepad_get_description gamepad_get_button_threshold gamepad_set_button_threshold gamepad_get_axis_deadzone gamepad_set_axis_deadzone gamepad_button_count gamepad_button_check gamepad_button_check_pressed gamepad_button_check_released gamepad_button_value gamepad_axis_count gamepad_axis_value gamepad_set_vibration gamepad_set_colour gamepad_set_color os_is_paused window_has_focus code_is_compiled http_get http_get_file http_post_string http_request json_encode json_decode zip_unzip load_csv base64_encode base64_decode md5_string_unicode md5_string_utf8 md5_file os_is_network_connected sha1_string_unicode sha1_string_utf8 sha1_file os_powersave_enable analytics_event analytics_event_ext win8_livetile_tile_notification win8_livetile_tile_clear win8_livetile_badge_notification win8_livetile_badge_clear win8_livetile_queue_enable win8_secondarytile_pin win8_secondarytile_badge_notification win8_secondarytile_delete win8_livetile_notification_begin win8_livetile_notification_secondary_begin win8_livetile_notification_expiry win8_livetile_notification_tag win8_livetile_notification_text_add win8_livetile_notification_image_add win8_livetile_notification_end win8_appbar_enable win8_appbar_add_element win8_appbar_remove_element win8_settingscharm_add_entry win8_settingscharm_add_html_entry win8_settingscharm_add_xaml_entry win8_settingscharm_set_xaml_property win8_settingscharm_get_xaml_property win8_settingscharm_remove_entry win8_share_image win8_share_screenshot win8_share_file win8_share_url win8_share_text win8_search_enable win8_search_disable win8_search_add_suggestions win8_device_touchscreen_available win8_license_initialize_sandbox win8_license_trial_version winphone_license_trial_version winphone_tile_title winphone_tile_count winphone_tile_back_title winphone_tile_back_content winphone_tile_back_content_wide winphone_tile_front_image winphone_tile_front_image_small winphone_tile_front_image_wide winphone_tile_back_image winphone_tile_back_image_wide winphone_tile_background_colour winphone_tile_background_color winphone_tile_icon_image winphone_tile_small_icon_image winphone_tile_wide_content winphone_tile_cycle_images winphone_tile_small_background_image physics_world_create physics_world_gravity physics_world_update_speed physics_world_update_iterations physics_world_draw_debug physics_pause_enable physics_fixture_create physics_fixture_set_kinematic physics_fixture_set_density physics_fixture_set_awake physics_fixture_set_restitution physics_fixture_set_friction physics_fixture_set_collision_group physics_fixture_set_sensor physics_fixture_set_linear_damping physics_fixture_set_angular_damping physics_fixture_set_circle_shape physics_fixture_set_box_shape physics_fixture_set_edge_shape physics_fixture_set_polygon_shape physics_fixture_set_chain_shape physics_fixture_add_point physics_fixture_bind physics_fixture_bind_ext physics_fixture_delete physics_apply_force physics_apply_impulse physics_apply_angular_impulse physics_apply_local_force physics_apply_local_impulse physics_apply_torque physics_mass_properties physics_draw_debug physics_test_overlap physics_remove_fixture physics_set_friction physics_set_density physics_set_restitution physics_get_friction physics_get_density physics_get_restitution physics_joint_distance_create physics_joint_rope_create physics_joint_revolute_create physics_joint_prismatic_create physics_joint_pulley_create physics_joint_wheel_create physics_joint_weld_create physics_joint_friction_create physics_joint_gear_create physics_joint_enable_motor physics_joint_get_value physics_joint_set_value physics_joint_delete physics_particle_create physics_particle_delete physics_particle_delete_region_circle physics_particle_delete_region_box physics_particle_delete_region_poly physics_particle_set_flags physics_particle_set_category_flags physics_particle_draw physics_particle_draw_ext physics_particle_count physics_particle_get_data physics_particle_get_data_particle physics_particle_group_begin physics_particle_group_circle physics_particle_group_box physics_particle_group_polygon physics_particle_group_add_point physics_particle_group_end physics_particle_group_join physics_particle_group_delete physics_particle_group_count physics_particle_group_get_data physics_particle_group_get_mass physics_particle_group_get_inertia physics_particle_group_get_centre_x physics_particle_group_get_centre_y physics_particle_group_get_vel_x physics_particle_group_get_vel_y physics_particle_group_get_ang_vel physics_particle_group_get_x physics_particle_group_get_y physics_particle_group_get_angle physics_particle_set_group_flags physics_particle_get_group_flags physics_particle_get_max_count physics_particle_get_radius physics_particle_get_density physics_particle_get_damping physics_particle_get_gravity_scale physics_particle_set_max_count physics_particle_set_radius physics_particle_set_density physics_particle_set_damping physics_particle_set_gravity_scale network_create_socket network_create_socket_ext network_create_server network_create_server_raw network_connect network_connect_raw network_send_packet network_send_raw network_send_broadcast network_send_udp network_send_udp_raw network_set_timeout network_set_config network_resolve network_destroy buffer_create buffer_write buffer_read buffer_seek buffer_get_surface buffer_set_surface buffer_delete buffer_exists buffer_get_type buffer_get_alignment buffer_poke buffer_peek buffer_save buffer_save_ext buffer_load buffer_load_ext buffer_load_partial buffer_copy buffer_fill buffer_get_size buffer_tell buffer_resize buffer_md5 buffer_sha1 buffer_base64_encode buffer_base64_decode buffer_base64_decode_ext buffer_sizeof buffer_get_address buffer_create_from_vertex_buffer buffer_create_from_vertex_buffer_ext buffer_copy_from_vertex_buffer buffer_async_group_begin buffer_async_group_option buffer_async_group_end buffer_load_async buffer_save_async gml_release_mode gml_pragma steam_activate_overlay steam_is_overlay_enabled steam_is_overlay_activated steam_get_persona_name steam_initialised steam_is_cloud_enabled_for_app steam_is_cloud_enabled_for_account steam_file_persisted steam_get_quota_total steam_get_quota_free steam_file_write steam_file_write_file steam_file_read steam_file_delete steam_file_exists steam_file_size steam_file_share steam_is_screenshot_requested steam_send_screenshot steam_is_user_logged_on steam_get_user_steam_id steam_user_owns_dlc steam_user_installed_dlc steam_set_achievement steam_get_achievement steam_clear_achievement steam_set_stat_int steam_set_stat_float steam_set_stat_avg_rate steam_get_stat_int steam_get_stat_float steam_get_stat_avg_rate steam_reset_all_stats steam_reset_all_stats_achievements steam_stats_ready steam_create_leaderboard steam_upload_score steam_upload_score_ext steam_download_scores_around_user steam_download_scores steam_download_friends_scores steam_upload_score_buffer steam_upload_score_buffer_ext steam_current_game_language steam_available_languages steam_activate_overlay_browser steam_activate_overlay_user steam_activate_overlay_store steam_get_user_persona_name steam_get_app_id steam_get_user_account_id steam_ugc_download steam_ugc_create_item steam_ugc_start_item_update steam_ugc_set_item_title steam_ugc_set_item_description steam_ugc_set_item_visibility steam_ugc_set_item_tags steam_ugc_set_item_content steam_ugc_set_item_preview steam_ugc_submit_item_update steam_ugc_get_item_update_progress steam_ugc_subscribe_item steam_ugc_unsubscribe_item steam_ugc_num_subscribed_items steam_ugc_get_subscribed_items steam_ugc_get_item_install_info steam_ugc_get_item_update_info steam_ugc_request_item_details steam_ugc_create_query_user steam_ugc_create_query_user_ex steam_ugc_create_query_all steam_ugc_create_query_all_ex steam_ugc_query_set_cloud_filename_filter steam_ugc_query_set_match_any_tag steam_ugc_query_set_search_text steam_ugc_query_set_ranked_by_trend_days steam_ugc_query_add_required_tag steam_ugc_query_add_excluded_tag steam_ugc_query_set_return_long_description steam_ugc_query_set_return_total_only steam_ugc_query_set_allow_cached_response steam_ugc_send_query shader_set shader_get_name shader_reset shader_current shader_is_compiled shader_get_sampler_index shader_get_uniform shader_set_uniform_i shader_set_uniform_i_array shader_set_uniform_f shader_set_uniform_f_array shader_set_uniform_matrix shader_set_uniform_matrix_array shader_enable_corner_id texture_set_stage texture_get_texel_width texture_get_texel_height shaders_are_supported vertex_format_begin vertex_format_end vertex_format_delete vertex_format_add_position vertex_format_add_position_3d vertex_format_add_colour vertex_format_add_color vertex_format_add_normal vertex_format_add_texcoord vertex_format_add_textcoord vertex_format_add_custom vertex_create_buffer vertex_create_buffer_ext vertex_delete_buffer vertex_begin vertex_end vertex_position vertex_position_3d vertex_colour vertex_color vertex_argb vertex_texcoord vertex_normal vertex_float1 vertex_float2 vertex_float3 vertex_float4 vertex_ubyte4 vertex_submit vertex_freeze vertex_get_number vertex_get_buffer_size vertex_create_buffer_from_buffer vertex_create_buffer_from_buffer_ext push_local_notification push_get_first_local_notification push_get_next_local_notification push_cancel_local_notification skeleton_animation_set skeleton_animation_get skeleton_animation_mix skeleton_animation_set_ext skeleton_animation_get_ext skeleton_animation_get_duration skeleton_animation_get_frames skeleton_animation_clear skeleton_skin_set skeleton_skin_get skeleton_attachment_set skeleton_attachment_get skeleton_attachment_create skeleton_collision_draw_set skeleton_bone_data_get skeleton_bone_data_set skeleton_bone_state_get skeleton_bone_state_set skeleton_get_minmax skeleton_get_num_bounds skeleton_get_bounds skeleton_animation_get_frame skeleton_animation_set_frame draw_skeleton draw_skeleton_time draw_skeleton_instance draw_skeleton_collision skeleton_animation_list skeleton_skin_list skeleton_slot_data layer_get_id layer_get_id_at_depth layer_get_depth layer_create layer_destroy layer_destroy_instances layer_add_instance layer_has_instance layer_set_visible layer_get_visible layer_exists layer_x layer_y layer_get_x layer_get_y layer_hspeed layer_vspeed layer_get_hspeed layer_get_vspeed layer_script_begin layer_script_end layer_shader layer_get_script_begin layer_get_script_end layer_get_shader layer_set_target_room layer_get_target_room layer_reset_target_room layer_get_all layer_get_all_elements layer_get_name layer_depth layer_get_element_layer layer_get_element_type layer_element_move layer_force_draw_depth layer_is_draw_depth_forced layer_get_forced_depth layer_background_get_id layer_background_exists layer_background_create layer_background_destroy layer_background_visible layer_background_change layer_background_sprite layer_background_htiled layer_background_vtiled layer_background_stretch layer_background_yscale layer_background_xscale layer_background_blend layer_background_alpha layer_background_index layer_background_speed layer_background_get_visible layer_background_get_sprite layer_background_get_htiled layer_background_get_vtiled layer_background_get_stretch layer_background_get_yscale layer_background_get_xscale layer_background_get_blend layer_background_get_alpha layer_background_get_index layer_background_get_speed layer_sprite_get_id layer_sprite_exists layer_sprite_create layer_sprite_destroy layer_sprite_change layer_sprite_index layer_sprite_speed layer_sprite_xscale layer_sprite_yscale 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\r\n Apprendimento: NetLogo\r\n

\r\n
\r\n \r\n

\r\n L'utente di NetLogo, che vive nel contesto globale e dà ordini agli altri agenti.\r\n

\r\n \r\n \r\n

\r\n Entità che possono muoversi per il mondo.\r\n

\r\n \r\n Sono più o meno come le Turtle di Computercraft!\r\n \r\n

\r\n Possono essere di una breed (razza) specifica, definite con:\r\n

\r\n {r`breed [ ]`}\r\n \r\n Le breed sono praticamente sottoclassi di turtle.\r\n \r\n \r\n \r\n

\r\n I quadratini del mondo. Possono essere di vari colori e avere varie proprietà.\r\n

\r\n \r\n ...possiamo dire che questi siano i blocchi di Minecraft?\r\n \r\n \r\n \r\n

\r\n Collegamenti tra due turtle.\r\n

\r\n \r\n
\r\n
\r\n \r\n

\r\n L'observer viene creato automaticamente all'apertura della simulazione.\r\n

\r\n \r\n \r\n

\r\n Nuove turtle possono essere create con il comando:\r\n

\r\n {r`- `}\r\n

\r\n Dove prefisso varia in base al contesto attuale:\r\n

\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n
ContestoPrefisso
Observer{r`create`}
Turtle{r`hatch`}
Patch{r`sprout`}
\r\n \r\n
\r\n
\r\n \r\n

\r\n All'inizio del codice:\r\n

\r\n {`globals [var1 var2 var3]`}\r\n \r\n Sono a tutti gli effetti variabili globali.\r\n \r\n \r\n \r\n

\r\n Aggiungi proprietà a tutte le turtle:\r\n

\r\n {`turtles-own [var1 var2 var3]`}\r\n

\r\n Aggiungi proprietà alle turtle di un breed:\r\n

\r\n {`-own [var1 var2 var3]`}\r\n \r\n \r\n

\r\n Aggiungi proprietà alle patch:\r\n

\r\n {r`patches-own [var1 var2 var3]`}\r\n \r\n \r\n

\r\n Aggiungi proprietà ai link:\r\n

\r\n {r`links-own [var1 var2 var3]`}\r\n \r\n
\r\n
\r\n \r\n

\r\n Si possono creare con:\r\n

\r\n {r`let `}\r\n \r\n \r\n

\r\n Si può impostare il valore di una variabile con:\r\n

\r\n {r`set `}\r\n \r\n
\r\n
\r\n \r\n

\r\n Per cambiare contesto:\r\n

\r\n {r`\r\n ask [\r\n \r\n ]\r\n `}\r\n

\r\n Nel caso ci siano più bersagli, verranno eseguiti uno\r\n

\r\n \r\n \r\n

\r\n Funzioni che non restituiscono nulla:\r\n

\r\n {r`\r\n to \r\n \r\n end\r\n `}\r\n

\r\n Con argomenti:\r\n

\r\n {r`\r\n to [var1 var2 var3]\r\n \r\n end\r\n `}\r\n \r\n \r\n

\r\n Funzioni che restituiscono un valore:\r\n

\r\n {r`\r\n to-report [var1 var2 var3]\r\n \r\n report \r\n end\r\n `}\r\n \r\n
\r\n
\r\n \r\n

\r\n Muoviti di 10 unità:\r\n

\r\n {r`\r\n forward 10\r\n back 10\r\n `}\r\n

\r\n Nota che la velocità massima delle tartarughe è di 1 unità/tick, quindi muoversi di 10 unità richiederà 10 tick.\r\n

\r\n \r\n \r\n

\r\n Ruota di 10 gradi:\r\n

\r\n {r`\r\n left 10\r\n right 10\r\n `}\r\n \r\n
\r\n
\r\n )\r\n}\r\n"],"sourceRoot":""} \ No newline at end of file diff --git a/docs/route-NetLogo.chunk.6c63d.esm.js b/docs/route-NetLogo.chunk.6c63d.esm.js deleted file mode 100644 index 723097d..0000000 --- a/docs/route-NetLogo.chunk.6c63d.esm.js +++ /dev/null @@ -1,25 +0,0 @@ -(window.webpackJsonp=window.webpackJsonp||[]).push([[11],{hkqw:function(l,e,a){"use strict";a.r(e),function(l){var i=a("OPqz"),t=a("imVn"),n=a("Wxxq"),o=a("c6ws");let r,u,s,p,c,g,d,v,b,m,h,f,w,k,L,z=l=>l;const A=String.raw;e.default=function(){return l("div",null,l("h1",null,l("a",{href:"/apprendimento"},"Apprendimento"),": NetLogo"),l(i.a,{title:"Agenti di NetLogo"},l(t.a,{title:"Observer"},l("p",null,"L'",l("b",null,"utente")," di NetLogo, che vive nel contesto globale e dà ordini agli altri agenti.")),l(t.a,{title:"Turtle"},l("p",null,"Entità che possono ",l("b",null,"muoversi")," per il mondo."),l(n.a,null,"Sono più o meno come le ",l("a",{href:"https://www.computercraft.info/wiki/Turtle"},"Turtle di Computercraft"),"!"),l("p",null,"Possono essere di una ",l("i",null,"breed")," (razza) specifica, definite con:"),l(o.a,{language:"lisp"},A(r||(r=z`breed [ ]`))),l(n.a,null,"Le breed sono praticamente sottoclassi di turtle.")),l(t.a,{title:"Patch"},l("p",null,"I ",l("b",null,"quadratini")," del mondo. Possono essere di vari colori e avere varie proprietà."),l(n.a,null,"...possiamo dire che questi siano i blocchi di Minecraft?")),l(t.a,{title:"Link"},l("p",null,l("b",null,"Collegamenti")," tra due turtle."))),l(i.a,{title:"Creazione di agenti"},l(t.a,{title:"Observer"},l("p",null,"L'observer viene creato automaticamente all'apertura della simulazione.")),l(t.a,{title:"Turtle"},l("p",null,"Nuove turtle possono essere create con il comando:"),l(o.a,{language:"lisp"},A(u||(u=z`- `))),l("p",null,"Dove prefisso varia in base al contesto 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Get-CINetworkAdapter Get-CIRole Get-CIUser Get-CIVApp Get-CIVAppNetwork Get-CIVAppStartRule Get-CIVAppTemplate Get-CIVM Get-CIVMTemplate Get-CIView Get-Catalog Get-CisCommand Get-CisService Get-CloudCommand Get-Cluster Get-CompatibleVersionAddtionaPropertiesStr Get-ComplexResourceQualifier Get-ConfigurationErrorCount Get-ContentLibraryItem Get-CustomAttribute Get-DSCResourceModules Get-Datacenter Get-Datastore Get-DatastoreCluster Get-DrsClusterGroup Get-DrsRecommendation Get-DrsRule Get-DrsVMHostRule Get-DscResource Get-EdgeGateway Get-EncryptedPassword Get-ErrorReport Get-EsxCli Get-EsxTop Get-ExternalNetwork Get-FileHash Get-FloppyDrive Get-Folder Get-HAPrimaryVMHost Get-HCXAppliance Get-HCXApplianceCompute Get-HCXApplianceDVS Get-HCXApplianceDatastore Get-HCXApplianceNetwork Get-HCXContainer Get-HCXDatastore Get-HCXGateway Get-HCXInterconnectStatus Get-HCXJob Get-HCXMigration Get-HCXNetwork Get-HCXNetworkExtension Get-HCXReplication Get-HCXReplicationSnapshot Get-HCXService Get-HCXSite Get-HCXSitePairing Get-HCXVM Get-HardDisk Get-IScsiHbaTarget Get-InnerMostErrorRecord Get-InstallPath Get-InstalledModule Get-InstalledScript Get-Inventory Get-ItemPropertyValue Get-KeyManagementServer Get-KmipClientCertificate Get-KmsCluster Get-Log Get-LogType Get-MarkdownOption Get-Media Get-MofInstanceName Get-MofInstanceText Get-NetworkAdapter Get-NetworkPool Get-NfsUser Get-NicTeamingPolicy Get-NsxApplicableMember Get-NsxApplicableSecurityAction Get-NsxBackingDVSwitch Get-NsxBackingPortGroup Get-NsxCliDfwAddrSet Get-NsxCliDfwFilter Get-NsxCliDfwRule Get-NsxClusterStatus Get-NsxController Get-NsxDynamicCriteria Get-NsxDynamicMemberSet Get-NsxEdge Get-NsxEdgeBgp Get-NsxEdgeBgpNeighbour Get-NsxEdgeCertificate Get-NsxEdgeCsr Get-NsxEdgeFirewall Get-NsxEdgeFirewallRule Get-NsxEdgeInterface Get-NsxEdgeInterfaceAddress Get-NsxEdgeNat Get-NsxEdgeNatRule Get-NsxEdgeOspf Get-NsxEdgeOspfArea Get-NsxEdgeOspfInterface Get-NsxEdgePrefix Get-NsxEdgeRedistributionRule Get-NsxEdgeRouting Get-NsxEdgeStaticRoute Get-NsxEdgeSubInterface Get-NsxFirewallExclusionListMember Get-NsxFirewallGlobalConfiguration Get-NsxFirewallPublishStatus Get-NsxFirewallRule Get-NsxFirewallRuleMember Get-NsxFirewallSavedConfiguration Get-NsxFirewallSection Get-NsxFirewallThreshold Get-NsxIpPool Get-NsxIpSet Get-NsxLicense Get-NsxLoadBalancer Get-NsxLoadBalancerApplicationProfile Get-NsxLoadBalancerApplicationRule Get-NsxLoadBalancerMonitor Get-NsxLoadBalancerPool Get-NsxLoadBalancerPoolMember Get-NsxLoadBalancerStats Get-NsxLoadBalancerVip Get-NsxLogicalRouter Get-NsxLogicalRouterBgp Get-NsxLogicalRouterBgpNeighbour Get-NsxLogicalRouterBridge Get-NsxLogicalRouterBridging Get-NsxLogicalRouterInterface Get-NsxLogicalRouterOspf Get-NsxLogicalRouterOspfArea Get-NsxLogicalRouterOspfInterface Get-NsxLogicalRouterPrefix Get-NsxLogicalRouterRedistributionRule Get-NsxLogicalRouterRouting Get-NsxLogicalRouterStaticRoute Get-NsxLogicalSwitch Get-NsxMacSet Get-NsxManagerBackup Get-NsxManagerCertificate Get-NsxManagerComponentSummary Get-NsxManagerNetwork Get-NsxManagerRole Get-NsxManagerSsoConfig Get-NsxManagerSyncStatus Get-NsxManagerSyslogServer Get-NsxManagerSystemSummary Get-NsxManagerTimeSettings Get-NsxManagerVcenterConfig Get-NsxSecondaryManager Get-NsxSecurityGroup Get-NsxSecurityGroupEffectiveIpAddress Get-NsxSecurityGroupEffectiveMacAddress Get-NsxSecurityGroupEffectiveMember Get-NsxSecurityGroupEffectiveVirtualMachine Get-NsxSecurityGroupEffectiveVnic Get-NsxSecurityGroupMemberTypes Get-NsxSecurityPolicy Get-NsxSecurityPolicyHighestUsedPrecedence Get-NsxSecurityPolicyRule Get-NsxSecurityTag Get-NsxSecurityTagAssignment Get-NsxSegmentIdRange Get-NsxService Get-NsxServiceDefinition Get-NsxServiceGroup Get-NsxServiceGroupMember Get-NsxServiceProfile Get-NsxSpoofguardNic Get-NsxSpoofguardPolicy Get-NsxSslVpn Get-NsxSslVpnAuthServer Get-NsxSslVpnClientInstallationPackage Get-NsxSslVpnIpPool Get-NsxSslVpnPrivateNetwork Get-NsxSslVpnUser Get-NsxTransportZone Get-NsxUserRole Get-NsxVdsContext Get-NsxtPolicyService Get-NsxtService Get-OSCustomizationNicMapping Get-OSCustomizationSpec Get-Org Get-OrgNetwork Get-OrgVdc Get-OrgVdcNetwork Get-OvfConfiguration Get-PSCurrentConfigurationNode Get-PSDefaultConfigurationDocument Get-PSMetaConfigDocumentInstVersionInfo Get-PSMetaConfigurationProcessed Get-PSReadLineKeyHandler Get-PSReadLineOption Get-PSRepository Get-PSTopConfigurationName Get-PSVersion Get-Package Get-PackageProvider Get-PackageSource Get-PassthroughDevice Get-PositionInfo Get-PowerCLICommunity Get-PowerCLIConfiguration Get-PowerCLIHelp Get-PowerCLIVersion Get-PowerNsxVersion Get-ProviderVdc Get-PublicKeyFromFile Get-PublicKeyFromStore Get-ResourcePool Get-Runspace Get-RunspaceDebug Get-ScsiController Get-ScsiLun Get-ScsiLunPath Get-SecurityInfo Get-SecurityPolicy Get-Snapshot Get-SpbmCapability Get-SpbmCompatibleStorage Get-SpbmEntityConfiguration Get-SpbmFaultDomain Get-SpbmPointInTimeReplica Get-SpbmReplicationGroup Get-SpbmReplicationPair Get-SpbmStoragePolicy Get-Stat Get-StatInterval Get-StatType Get-Tag Get-TagAssignment Get-TagCategory Get-Task Get-Template Get-TimeZone Get-Uptime Get-UsbDevice Get-VAIOFilter Get-VApp Get-VDBlockedPolicy Get-VDPort Get-VDPortgroup Get-VDPortgroupOverridePolicy Get-VDSecurityPolicy Get-VDSwitch Get-VDSwitchPrivateVlan Get-VDTrafficShapingPolicy Get-VDUplinkLacpPolicy Get-VDUplinkTeamingPolicy Get-VDisk Get-VIAccount Get-VICommand Get-VICredentialStoreItem Get-VIEvent Get-VIObjectByVIView Get-VIPermission Get-VIPrivilege Get-VIProperty Get-VIRole Get-VM Get-VMGuest Get-VMHost Get-VMHostAccount Get-VMHostAdvancedConfiguration Get-VMHostAuthentication Get-VMHostAvailableTimeZone Get-VMHostDiagnosticPartition Get-VMHostDisk Get-VMHostDiskPartition Get-VMHostFirewallDefaultPolicy Get-VMHostFirewallException Get-VMHostFirmware Get-VMHostHardware Get-VMHostHba Get-VMHostModule Get-VMHostNetwork Get-VMHostNetworkAdapter Get-VMHostNtpServer Get-VMHostPatch Get-VMHostPciDevice Get-VMHostProfile Get-VMHostProfileImageCacheConfiguration Get-VMHostProfileRequiredInput Get-VMHostProfileStorageDeviceConfiguration Get-VMHostProfileUserConfiguration Get-VMHostProfileVmPortGroupConfiguration Get-VMHostRoute Get-VMHostService Get-VMHostSnmp Get-VMHostStartPolicy Get-VMHostStorage Get-VMHostSysLogServer Get-VMQuestion Get-VMResourceConfiguration Get-VMStartPolicy Get-VTpm Get-VTpmCSR Get-VTpmCertificate Get-VasaProvider Get-VasaStorageArray Get-View Get-VirtualPortGroup Get-VirtualSwitch Get-VmcSddcNetworkService Get-VmcService Get-VsanClusterConfiguration Get-VsanComponent Get-VsanDisk Get-VsanDiskGroup Get-VsanEvacuationPlan Get-VsanFaultDomain Get-VsanIscsiInitiatorGroup Get-VsanIscsiInitiatorGroupTargetAssociation Get-VsanIscsiLun Get-VsanIscsiTarget Get-VsanObject Get-VsanResyncingComponent Get-VsanRuntimeInfo Get-VsanSpaceUsage Get-VsanStat Get-VsanView Get-vRAApplianceServiceStatus Get-vRAAuthorizationRole Get-vRABlueprint Get-vRABusinessGroup Get-vRACatalogItem Get-vRACatalogItemRequestTemplate Get-vRACatalogPrincipal Get-vRAComponentRegistryService Get-vRAComponentRegistryServiceEndpoint Get-vRAComponentRegistryServiceStatus Get-vRAContent Get-vRAContentData Get-vRAContentType Get-vRACustomForm Get-vRAEntitledCatalogItem Get-vRAEntitledService Get-vRAEntitlement Get-vRAExternalNetworkProfile Get-vRAGroupPrincipal Get-vRAIcon Get-vRANATNetworkProfile Get-vRANetworkProfileIPAddressList Get-vRANetworkProfileIPRangeSummary Get-vRAPackage Get-vRAPackageContent Get-vRAPropertyDefinition Get-vRAPropertyGroup Get-vRARequest Get-vRARequestDetail Get-vRAReservation Get-vRAReservationComputeResource Get-vRAReservationComputeResourceMemory Get-vRAReservationComputeResourceNetwork Get-vRAReservationComputeResourceResourcePool Get-vRAReservationComputeResourceStorage Get-vRAReservationPolicy Get-vRAReservationTemplate Get-vRAReservationType Get-vRAResource Get-vRAResourceAction Get-vRAResourceActionRequestTemplate Get-vRAResourceMetric Get-vRAResourceOperation Get-vRAResourceType Get-vRARoutedNetworkProfile Get-vRAService Get-vRAServiceBlueprint Get-vRASourceMachine Get-vRAStorageReservationPolicy Get-vRATenant Get-vRATenantDirectory Get-vRATenantDirectoryStatus Get-vRATenantRole Get-vRAUserPrincipal Get-vRAUserPrincipalGroupMembership Get-vRAVersion Get-vRNIAPIVersion Get-vRNIApplication Get-vRNIApplicationTier Get-vRNIDataSource Get-vRNIDataSourceSNMPConfig Get-vRNIDatastore Get-vRNIDistributedSwitch Get-vRNIDistributedSwitchPortGroup Get-vRNIEntity Get-vRNIEntityName Get-vRNIFirewallRule Get-vRNIFlow Get-vRNIHost Get-vRNIHostVMKNic Get-vRNIIPSet Get-vRNIL2Network Get-vRNINSXManager Get-vRNINodes Get-vRNIProblem Get-vRNIRecommendedRules Get-vRNIRecommendedRulesNsxBundle Get-vRNISecurityGroup Get-vRNISecurityTag Get-vRNIService Get-vRNIServiceGroup Get-vRNIVM Get-vRNIVMvNIC Get-vRNIvCenter Get-vRNIvCenterCluster Get-vRNIvCenterDatacenter Get-vRNIvCenterFolder Grant-NsxSpoofguardNicApproval Import-CIVApp Import-CIVAppTemplate Import-NsxObject Import-PackageProvider Import-PowerShellDataFile Import-SpbmStoragePolicy Import-VApp Import-VMHostProfile Import-vRAContentData Import-vRAIcon Import-vRAPackage Initialize-ConfigurationRuntimeState Install-Module Install-NsxCluster Install-Package Install-PackageProvider Install-Script Install-VMHostPatch Invoke-DrsRecommendation Invoke-NsxCli Invoke-NsxClusterResolveAll Invoke-NsxManagerSync Invoke-NsxRestMethod Invoke-NsxWebRequest Invoke-VMHostProfile Invoke-VMScript Invoke-XpathQuery Invoke-vRADataCollection Invoke-vRARestMethod Invoke-vRATenantDirectorySync Invoke-vRNIRestMethod Join-String Mount-Tools Move-Cluster Move-Datacenter Move-Datastore Move-Folder Move-HardDisk Move-Inventory Move-NsxSecurityPolicyRule Move-ResourcePool Move-Template Move-VApp Move-VDisk Move-VM Move-VMHost New-AdvancedSetting New-AlarmAction New-AlarmActionTrigger New-CDDrive New-CIAccessControlRule New-CIVApp New-CIVAppNetwork New-CIVAppTemplate New-CIVM New-Cluster New-CustomAttribute New-Datacenter New-Datastore New-DatastoreCluster New-DatastoreDrive New-DrsClusterGroup New-DrsRule New-DrsVMHostRule New-DscChecksum New-FloppyDrive New-Folder New-Guid New-HCXAppliance New-HCXMigration New-HCXNetworkExtension New-HCXNetworkMapping New-HCXReplication New-HCXSitePairing New-HCXStaticRoute New-HardDisk New-IScsiHbaTarget New-KmipClientCertificate New-NetworkAdapter New-NfsUser New-NsxAddressSpec New-NsxClusterVxlanConfig New-NsxController New-NsxDynamicCriteriaSpec New-NsxEdge New-NsxEdgeBgpNeighbour New-NsxEdgeCsr New-NsxEdgeFirewallRule New-NsxEdgeInterfaceSpec New-NsxEdgeNatRule New-NsxEdgeOspfArea New-NsxEdgeOspfInterface New-NsxEdgePrefix New-NsxEdgeRedistributionRule New-NsxEdgeSelfSignedCertificate New-NsxEdgeStaticRoute New-NsxEdgeSubInterface New-NsxEdgeSubInterfaceSpec New-NsxFirewallRule New-NsxFirewallSavedConfiguration New-NsxFirewallSection New-NsxIpPool New-NsxIpSet New-NsxLoadBalancerApplicationProfile New-NsxLoadBalancerApplicationRule New-NsxLoadBalancerMemberSpec New-NsxLoadBalancerMonitor New-NsxLoadBalancerPool New-NsxLogicalRouter New-NsxLogicalRouterBgpNeighbour New-NsxLogicalRouterBridge New-NsxLogicalRouterInterface New-NsxLogicalRouterInterfaceSpec New-NsxLogicalRouterOspfArea New-NsxLogicalRouterOspfInterface New-NsxLogicalRouterPrefix New-NsxLogicalRouterRedistributionRule New-NsxLogicalRouterStaticRoute New-NsxLogicalSwitch New-NsxMacSet New-NsxManager New-NsxSecurityGroup New-NsxSecurityPolicy New-NsxSecurityPolicyAssignment New-NsxSecurityPolicyFirewallRuleSpec New-NsxSecurityPolicyGuestIntrospectionSpec New-NsxSecurityPolicyNetworkIntrospectionSpec New-NsxSecurityTag New-NsxSecurityTagAssignment New-NsxSegmentIdRange New-NsxService New-NsxServiceGroup New-NsxSpoofguardPolicy New-NsxSslVpnAuthServer New-NsxSslVpnClientInstallationPackage New-NsxSslVpnIpPool New-NsxSslVpnPrivateNetwork New-NsxSslVpnUser New-NsxTransportZone New-NsxVdsContext New-OSCustomizationNicMapping New-OSCustomizationSpec New-Org New-OrgNetwork New-OrgVdc New-OrgVdcNetwork New-ResourcePool New-ScriptFileInfo New-ScsiController New-Snapshot New-SpbmRule New-SpbmRuleSet New-SpbmStoragePolicy New-StatInterval New-Tag New-TagAssignment New-TagCategory New-Template New-TemporaryFile New-VAIOFilter New-VApp New-VDPortgroup New-VDSwitch New-VDSwitchPrivateVlan New-VDisk New-VICredentialStoreItem New-VIInventoryDrive New-VIPermission New-VIProperty New-VIRole New-VISamlSecurityContext New-VM New-VMHostAccount New-VMHostNetworkAdapter New-VMHostProfile New-VMHostProfileVmPortGroupConfiguration New-VMHostRoute New-VTpm New-VasaProvider New-VcsOAuthSecurityContext New-VirtualPortGroup New-VirtualSwitch New-VsanDisk New-VsanDiskGroup New-VsanFaultDomain New-VsanIscsiInitiatorGroup New-VsanIscsiInitiatorGroupTargetAssociation New-VsanIscsiLun New-VsanIscsiTarget New-vRABusinessGroup New-vRAEntitlement New-vRAExternalNetworkProfile New-vRAGroupPrincipal New-vRANATNetworkProfile New-vRANetworkProfileIPRangeDefinition New-vRAPackage New-vRAPropertyDefinition New-vRAPropertyGroup New-vRAReservation New-vRAReservationNetworkDefinition New-vRAReservationPolicy New-vRAReservationStorageDefinition New-vRARoutedNetworkProfile New-vRAService New-vRAStorageReservationPolicy New-vRATenant New-vRATenantDirectory New-vRAUserPrincipal New-vRNIApplication New-vRNIApplicationTier New-vRNIDataSource Open-VMConsoleWindow Publish-Module Publish-NsxSpoofguardPolicy Publish-Script Register-PSRepository Register-PackageSource Remove-AdvancedSetting Remove-AlarmAction Remove-AlarmActionTrigger Remove-Alias Remove-CDDrive Remove-CIAccessControlRule Remove-CIVApp Remove-CIVAppNetwork Remove-CIVAppTemplate Remove-Cluster Remove-CustomAttribute Remove-Datacenter Remove-Datastore Remove-DatastoreCluster Remove-DrsClusterGroup Remove-DrsRule Remove-DrsVMHostRule Remove-FloppyDrive Remove-Folder Remove-HCXAppliance Remove-HCXNetworkExtension Remove-HCXReplication Remove-HCXSitePairing Remove-HardDisk Remove-IScsiHbaTarget Remove-Inventory Remove-KeyManagementServer Remove-NetworkAdapter Remove-NfsUser Remove-NsxCluster Remove-NsxClusterVxlanConfig Remove-NsxController Remove-NsxDynamicCriteria Remove-NsxDynamicMemberSet Remove-NsxEdge Remove-NsxEdgeBgpNeighbour Remove-NsxEdgeCertificate Remove-NsxEdgeCsr Remove-NsxEdgeFirewallRule Remove-NsxEdgeInterfaceAddress Remove-NsxEdgeNatRule Remove-NsxEdgeOspfArea Remove-NsxEdgeOspfInterface Remove-NsxEdgePrefix Remove-NsxEdgeRedistributionRule Remove-NsxEdgeStaticRoute Remove-NsxEdgeSubInterface Remove-NsxFirewallExclusionListMember Remove-NsxFirewallRule Remove-NsxFirewallRuleMember Remove-NsxFirewallSavedConfiguration Remove-NsxFirewallSection Remove-NsxIpPool Remove-NsxIpSet Remove-NsxIpSetMember Remove-NsxLoadBalancerApplicationProfile Remove-NsxLoadBalancerMonitor Remove-NsxLoadBalancerPool Remove-NsxLoadBalancerPoolMember Remove-NsxLoadBalancerVip Remove-NsxLogicalRouter Remove-NsxLogicalRouterBgpNeighbour Remove-NsxLogicalRouterBridge Remove-NsxLogicalRouterInterface Remove-NsxLogicalRouterOspfArea Remove-NsxLogicalRouterOspfInterface Remove-NsxLogicalRouterPrefix Remove-NsxLogicalRouterRedistributionRule Remove-NsxLogicalRouterStaticRoute Remove-NsxLogicalSwitch Remove-NsxMacSet Remove-NsxSecondaryManager Remove-NsxSecurityGroup Remove-NsxSecurityGroupMember Remove-NsxSecurityPolicy Remove-NsxSecurityPolicyAssignment Remove-NsxSecurityPolicyRule Remove-NsxSecurityPolicyRuleGroup Remove-NsxSecurityPolicyRuleService Remove-NsxSecurityTag Remove-NsxSecurityTagAssignment Remove-NsxSegmentIdRange Remove-NsxService Remove-NsxServiceGroup Remove-NsxSpoofguardPolicy Remove-NsxSslVpnClientInstallationPackage Remove-NsxSslVpnIpPool Remove-NsxSslVpnPrivateNetwork Remove-NsxSslVpnUser Remove-NsxTransportZone Remove-NsxTransportZoneMember Remove-NsxVdsContext Remove-OSCustomizationNicMapping Remove-OSCustomizationSpec Remove-Org Remove-OrgNetwork Remove-OrgVdc Remove-OrgVdcNetwork Remove-PSReadLineKeyHandler Remove-PassthroughDevice Remove-ResourcePool Remove-Snapshot Remove-SpbmStoragePolicy Remove-StatInterval Remove-Tag Remove-TagAssignment Remove-TagCategory Remove-Template Remove-UsbDevice Remove-VAIOFilter Remove-VApp Remove-VDPortGroup Remove-VDSwitch Remove-VDSwitchPhysicalNetworkAdapter Remove-VDSwitchPrivateVlan Remove-VDSwitchVMHost Remove-VDisk Remove-VICredentialStoreItem Remove-VIPermission Remove-VIProperty Remove-VIRole Remove-VM Remove-VMHost Remove-VMHostAccount Remove-VMHostNetworkAdapter Remove-VMHostNtpServer Remove-VMHostProfile Remove-VMHostProfileVmPortGroupConfiguration Remove-VMHostRoute Remove-VTpm Remove-VasaProvider Remove-VirtualPortGroup Remove-VirtualSwitch Remove-VirtualSwitchPhysicalNetworkAdapter Remove-VsanDisk Remove-VsanDiskGroup Remove-VsanFaultDomain Remove-VsanIscsiInitiatorGroup Remove-VsanIscsiInitiatorGroupTargetAssociation Remove-VsanIscsiLun Remove-VsanIscsiTarget Remove-vRABusinessGroup Remove-vRACustomForm Remove-vRAExternalNetworkProfile Remove-vRAGroupPrincipal Remove-vRAIcon Remove-vRANATNetworkProfile Remove-vRAPackage Remove-vRAPrincipalFromTenantRole Remove-vRAPropertyDefinition Remove-vRAPropertyGroup Remove-vRAReservation Remove-vRAReservationNetwork Remove-vRAReservationPolicy Remove-vRAReservationStorage Remove-vRARoutedNetworkProfile Remove-vRAService Remove-vRAStorageReservationPolicy Remove-vRATenant Remove-vRATenantDirectory Remove-vRAUserPrincipal Remove-vRNIApplication Remove-vRNIApplicationTier Remove-vRNIDataSource Repair-NsxEdge Repair-VsanObject Request-vRACatalogItem Request-vRAResourceAction Restart-CIVApp Restart-CIVAppGuest Restart-CIVM Restart-CIVMGuest Restart-VM Restart-VMGuest Restart-VMHost Restart-VMHostService Resume-HCXReplication Revoke-NsxSpoofguardNicApproval Save-Module Save-Package Save-Script Search-Cloud Set-AdvancedSetting Set-AlarmDefinition Set-Annotation Set-CDDrive Set-CIAccessControlRule Set-CINetworkAdapter Set-CIVApp Set-CIVAppNetwork Set-CIVAppStartRule Set-CIVAppTemplate Set-Cluster Set-CustomAttribute Set-Datacenter Set-Datastore Set-DatastoreCluster Set-DrsClusterGroup Set-DrsRule Set-DrsVMHostRule Set-FloppyDrive Set-Folder Set-HCXAppliance Set-HCXMigration Set-HCXReplication Set-HardDisk Set-IScsiHbaTarget Set-KeyManagementServer Set-KmsCluster Set-MarkdownOption Set-NetworkAdapter Set-NfsUser Set-NicTeamingPolicy Set-NodeExclusiveResources Set-NodeManager Set-NodeResourceSource Set-NodeResources Set-NsxEdge Set-NsxEdgeBgp Set-NsxEdgeFirewall Set-NsxEdgeInterface Set-NsxEdgeNat Set-NsxEdgeOspf Set-NsxEdgeRouting Set-NsxFirewallGlobalConfiguration Set-NsxFirewallRule Set-NsxFirewallSavedConfiguration Set-NsxFirewallThreshold Set-NsxLoadBalancer Set-NsxLoadBalancerPoolMember Set-NsxLogicalRouter Set-NsxLogicalRouterBgp Set-NsxLogicalRouterBridging Set-NsxLogicalRouterInterface Set-NsxLogicalRouterOspf Set-NsxLogicalRouterRouting Set-NsxManager Set-NsxManagerRole Set-NsxManagerTimeSettings Set-NsxSecurityPolicy Set-NsxSecurityPolicyFirewallRule Set-NsxSslVpn Set-OSCustomizationNicMapping Set-OSCustomizationSpec Set-Org Set-OrgNetwork Set-OrgVdc Set-OrgVdcNetwork Set-PSCurrentConfigurationNode Set-PSDefaultConfigurationDocument Set-PSMetaConfigDocInsProcessedBeforeMeta Set-PSMetaConfigVersionInfoV2 Set-PSReadLineKeyHandler Set-PSReadLineOption Set-PSRepository Set-PSTopConfigurationName Set-PackageSource Set-PowerCLIConfiguration Set-ResourcePool Set-ScsiController Set-ScsiLun Set-ScsiLunPath Set-SecurityPolicy Set-Snapshot Set-SpbmEntityConfiguration Set-SpbmStoragePolicy Set-StatInterval Set-Tag Set-TagCategory Set-Template Set-VAIOFilter Set-VApp Set-VDBlockedPolicy Set-VDPort Set-VDPortgroup Set-VDPortgroupOverridePolicy Set-VDSecurityPolicy Set-VDSwitch Set-VDTrafficShapingPolicy Set-VDUplinkLacpPolicy Set-VDUplinkTeamingPolicy Set-VDVlanConfiguration Set-VDisk Set-VIPermission Set-VIRole Set-VM Set-VMHost Set-VMHostAccount Set-VMHostAdvancedConfiguration Set-VMHostAuthentication Set-VMHostDiagnosticPartition Set-VMHostFirewallDefaultPolicy Set-VMHostFirewallException Set-VMHostFirmware Set-VMHostHba Set-VMHostModule Set-VMHostNetwork Set-VMHostNetworkAdapter Set-VMHostProfile Set-VMHostProfileImageCacheConfiguration Set-VMHostProfileStorageDeviceConfiguration Set-VMHostProfileUserConfiguration Set-VMHostProfileVmPortGroupConfiguration Set-VMHostRoute Set-VMHostService Set-VMHostSnmp Set-VMHostStartPolicy Set-VMHostStorage Set-VMHostSysLogServer Set-VMQuestion Set-VMResourceConfiguration Set-VMStartPolicy Set-VTpm Set-VirtualPortGroup Set-VirtualSwitch Set-VsanClusterConfiguration Set-VsanFaultDomain Set-VsanIscsiInitiatorGroup Set-VsanIscsiLun Set-VsanIscsiTarget Set-vRABusinessGroup Set-vRACatalogItem Set-vRACustomForm Set-vRAEntitlement Set-vRAExternalNetworkProfile Set-vRANATNetworkProfile Set-vRAReservation Set-vRAReservationNetwork Set-vRAReservationPolicy Set-vRAReservationStorage Set-vRARoutedNetworkProfile Set-vRAService Set-vRAStorageReservationPolicy Set-vRATenant Set-vRATenantDirectory Set-vRAUserPrincipal Set-vRNIDataSourceSNMPConfig Show-Markdown Start-CIVApp Start-CIVM Start-HCXMigration Start-HCXReplication Start-SpbmReplicationFailover Start-SpbmReplicationPrepareFailover Start-SpbmReplicationPromote Start-SpbmReplicationReverse Start-SpbmReplicationTestFailover Start-ThreadJob Start-VApp Start-VM Start-VMHost Start-VMHostService Start-VsanClusterDiskUpdate Start-VsanClusterRebalance Start-VsanEncryptionConfiguration Stop-CIVApp Stop-CIVAppGuest Stop-CIVM Stop-CIVMGuest Stop-SpbmReplicationTestFailover Stop-Task Stop-VApp Stop-VM Stop-VMGuest Stop-VMHost Stop-VMHostService Stop-VsanClusterRebalance Suspend-CIVApp Suspend-CIVM Suspend-HCXReplication Suspend-VM Suspend-VMGuest Suspend-VMHost Sync-SpbmReplicationGroup Test-ConflictingResources Test-HCXMigration Test-HCXReplication Test-Json Test-ModuleReloadRequired Test-MofInstanceText Test-NodeManager Test-NodeResourceSource Test-NodeResources 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diag_fpsMin diag_frameNo diag_lightNewLoad diag_list diag_log diag_logSlowFrame diag_mergeConfigFile diag_recordTurretLimits diag_setLightNew diag_tickTime diag_toggle dialog diarySubjectExists didJIP didJIPOwner difficulty difficultyEnabled difficultyEnabledRTD difficultyOption direction directSay disableAI disableCollisionWith disableConversation disableDebriefingStats disableMapIndicators disableNVGEquipment disableRemoteSensors disableSerialization disableTIEquipment disableUAVConnectability disableUserInput displayAddEventHandler displayCtrl displayParent displayRemoveAllEventHandlers displayRemoveEventHandler displaySetEventHandler dissolveTeam distance distance2D distanceSqr distributionRegion do3DENAction doArtilleryFire doFire doFollow doFSM doGetOut doMove doorPhase doStop doSuppressiveFire doTarget doWatch drawArrow drawEllipse drawIcon drawIcon3D drawLine drawLine3D drawLink drawLocation drawPolygon drawRectangle drawTriangle driver drop dynamicSimulationDistance dynamicSimulationDistanceCoef dynamicSimulationEnabled dynamicSimulationSystemEnabled echo edit3DENMissionAttributes editObject editorSetEventHandler effectiveCommander emptyPositions enableAI enableAIFeature enableAimPrecision enableAttack enableAudioFeature enableAutoStartUpRTD enableAutoTrimRTD enableCamShake enableCaustics enableChannel enableCollisionWith enableCopilot enableDebriefingStats enableDiagLegend enableDynamicSimulation enableDynamicSimulationSystem enableEndDialog enableEngineArtillery enableEnvironment enableFatigue enableGunLights enableInfoPanelComponent enableIRLasers enableMimics enablePersonTurret enableRadio enableReload enableRopeAttach enableSatNormalOnDetail enableSaving enableSentences enableSimulation enableSimulationGlobal enableStamina enableTeamSwitch enableTraffic enableUAVConnectability enableUAVWaypoints enableVehicleCargo enableVehicleSensor enableWeaponDisassembly endLoadingScreen endMission engineOn enginesIsOnRTD enginesRpmRTD enginesTorqueRTD entities environmentEnabled estimatedEndServerTime estimatedTimeLeft evalObjectArgument everyBackpack everyContainer exec execEditorScript execFSM execVM exp expectedDestination exportJIPMessages eyeDirection eyePos face faction fadeMusic fadeRadio fadeSound fadeSpeech failMission fillWeaponsFromPool find findCover findDisplay findEditorObject findEmptyPosition findEmptyPositionReady findIf findNearestEnemy finishMissionInit finite fire fireAtTarget firstBackpack flag flagAnimationPhase flagOwner flagSide flagTexture fleeing floor flyInHeight flyInHeightASL fog fogForecast fogParams forceAddUniform forcedMap forceEnd forceFlagTexture forceFollowRoad forceMap forceRespawn forceSpeed forceWalk forceWeaponFire forceWeatherChange forEachMember forEachMemberAgent forEachMemberTeam forgetTarget format formation formationDirection formationLeader formationMembers formationPosition formationTask formatText formLeader freeLook fromEditor fuel fullCrew gearIDCAmmoCount gearSlotAmmoCount 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magazinesAllTurrets magazinesAmmo magazinesAmmoCargo magazinesAmmoFull magazinesDetail magazinesDetailBackpack magazinesDetailUniform magazinesDetailVest magazinesTurret magazineTurretAmmo mapAnimAdd mapAnimClear mapAnimCommit mapAnimDone mapCenterOnCamera mapGridPosition markAsFinishedOnSteam markerAlpha markerBrush markerColor markerDir markerPos markerShape markerSize markerText markerType max members menuAction menuAdd menuChecked menuClear menuCollapse menuData menuDelete menuEnable menuEnabled menuExpand menuHover menuPicture menuSetAction menuSetCheck menuSetData menuSetPicture menuSetValue menuShortcut menuShortcutText menuSize menuSort menuText menuURL menuValue min mineActive mineDetectedBy missionConfigFile missionDifficulty missionName missionNamespace missionStart missionVersion mod modelToWorld modelToWorldVisual modelToWorldVisualWorld modelToWorldWorld modParams moonIntensity moonPhase morale move move3DENCamera moveInAny moveInCargo moveInCommander moveInDriver moveInGunner moveInTurret moveObjectToEnd moveOut moveTime moveTo moveToCompleted moveToFailed musicVolume name nameSound nearEntities nearestBuilding nearestLocation nearestLocations nearestLocationWithDubbing nearestObject nearestObjects nearestTerrainObjects nearObjects nearObjectsReady nearRoads nearSupplies nearTargets needReload netId netObjNull newOverlay nextMenuItemIndex nextWeatherChange nMenuItems not numberOfEnginesRTD numberToDate objectCurators objectFromNetId objectParent objStatus onBriefingGroup onBriefingNotes onBriefingPlan onBriefingTeamSwitch onCommandModeChanged onDoubleClick onEachFrame onGroupIconClick onGroupIconOverEnter onGroupIconOverLeave onHCGroupSelectionChanged onMapSingleClick onPlayerConnected onPlayerDisconnected onPreloadFinished onPreloadStarted onShowNewObject onTeamSwitch openCuratorInterface openDLCPage openMap openSteamApp openYoutubeVideo or orderGetIn overcast overcastForecast owner param params parseNumber parseSimpleArray parseText parsingNamespace particlesQuality pickWeaponPool pitch pixelGrid pixelGridBase pixelGridNoUIScale pixelH pixelW playableSlotsNumber playableUnits playAction playActionNow player playerRespawnTime playerSide playersNumber playGesture playMission playMove playMoveNow playMusic playScriptedMission playSound playSound3D position positionCameraToWorld posScreenToWorld posWorldToScreen ppEffectAdjust ppEffectCommit ppEffectCommitted ppEffectCreate ppEffectDestroy ppEffectEnable ppEffectEnabled ppEffectForceInNVG precision preloadCamera preloadObject preloadSound preloadTitleObj preloadTitleRsc preprocessFile preprocessFileLineNumbers primaryWeapon primaryWeaponItems primaryWeaponMagazine priority processDiaryLink productVersion profileName profileNamespace profileNameSteam progressLoadingScreen progressPosition progressSetPosition publicVariable publicVariableClient publicVariableServer pushBack pushBackUnique putWeaponPool queryItemsPool queryMagazinePool queryWeaponPool rad radioChannelAdd radioChannelCreate radioChannelRemove radioChannelSetCallSign radioChannelSetLabel radioVolume rain rainbow random rank rankId rating rectangular registeredTasks registerTask reload reloadEnabled remoteControl remoteExec remoteExecCall remoteExecutedOwner remove3DENConnection remove3DENEventHandler remove3DENLayer removeAction removeAll3DENEventHandlers removeAllActions removeAllAssignedItems removeAllContainers removeAllCuratorAddons removeAllCuratorCameraAreas removeAllCuratorEditingAreas removeAllEventHandlers removeAllHandgunItems removeAllItems removeAllItemsWithMagazines removeAllMissionEventHandlers removeAllMPEventHandlers removeAllMusicEventHandlers removeAllOwnedMines removeAllPrimaryWeaponItems removeAllWeapons removeBackpack removeBackpackGlobal removeCuratorAddons removeCuratorCameraArea removeCuratorEditableObjects removeCuratorEditingArea removeDrawIcon removeDrawLinks removeEventHandler removeFromRemainsCollector removeGoggles removeGroupIcon removeHandgunItem removeHeadgear removeItem removeItemFromBackpack removeItemFromUniform removeItemFromVest removeItems removeMagazine removeMagazineGlobal removeMagazines removeMagazinesTurret removeMagazineTurret removeMenuItem removeMissionEventHandler removeMPEventHandler removeMusicEventHandler removeOwnedMine removePrimaryWeaponItem removeSecondaryWeaponItem removeSimpleTask removeSwitchableUnit removeTeamMember removeUniform removeVest removeWeapon removeWeaponAttachmentCargo removeWeaponCargo removeWeaponGlobal removeWeaponTurret reportRemoteTarget requiredVersion resetCamShake resetSubgroupDirection resize resources respawnVehicle restartEditorCamera reveal revealMine reverse reversedMouseY roadAt roadsConnectedTo roleDescription ropeAttachedObjects ropeAttachedTo ropeAttachEnabled ropeAttachTo ropeCreate ropeCut ropeDestroy ropeDetach ropeEndPosition ropeLength ropes ropeUnwind ropeUnwound rotorsForcesRTD rotorsRpmRTD round runInitScript safeZoneH safeZoneW safeZoneWAbs safeZoneX safeZoneXAbs 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setObjectTexture setObjectTextureGlobal setObjectViewDistance setOvercast setOwner setOxygenRemaining setParticleCircle setParticleClass setParticleFire setParticleParams setParticleRandom setPilotCameraDirection setPilotCameraRotation setPilotCameraTarget setPilotLight setPiPEffect setPitch setPlateNumber setPlayable setPlayerRespawnTime setPos setPosASL setPosASL2 setPosASLW setPosATL setPosition setPosWorld setPylonLoadOut setPylonsPriority setRadioMsg setRain setRainbow setRandomLip setRank setRectangular setRepairCargo setRotorBrakeRTD setShadowDistance setShotParents setSide setSimpleTaskAlwaysVisible setSimpleTaskCustomData setSimpleTaskDescription setSimpleTaskDestination setSimpleTaskTarget setSimpleTaskType setSimulWeatherLayers setSize setSkill setSlingLoad setSoundEffect setSpeaker setSpeech setSpeedMode setStamina setStaminaScheme setStatValue setSuppression setSystemOfUnits setTargetAge setTaskMarkerOffset setTaskResult setTaskState setTerrainGrid setText setTimeMultiplier setTitleEffect setTrafficDensity setTrafficDistance setTrafficGap setTrafficSpeed setTriggerActivation setTriggerArea setTriggerStatements setTriggerText setTriggerTimeout setTriggerType setType setUnconscious setUnitAbility setUnitLoadout setUnitPos setUnitPosWeak setUnitRank setUnitRecoilCoefficient setUnitTrait setUnloadInCombat setUserActionText setUserMFDText setUserMFDvalue setVariable setVectorDir setVectorDirAndUp setVectorUp setVehicleAmmo setVehicleAmmoDef setVehicleArmor setVehicleCargo setVehicleId setVehicleLock setVehiclePosition setVehicleRadar setVehicleReceiveRemoteTargets setVehicleReportOwnPosition setVehicleReportRemoteTargets setVehicleTIPars setVehicleVarName setVelocity setVelocityModelSpace setVelocityTransformation setViewDistance setVisibleIfTreeCollapsed setWantedRPMRTD setWaves setWaypointBehaviour setWaypointCombatMode setWaypointCompletionRadius setWaypointDescription setWaypointForceBehaviour setWaypointFormation setWaypointHousePosition setWaypointLoiterRadius setWaypointLoiterType setWaypointName setWaypointPosition setWaypointScript setWaypointSpeed setWaypointStatements setWaypointTimeout setWaypointType setWaypointVisible setWeaponReloadingTime setWind setWindDir setWindForce setWindStr setWingForceScaleRTD setWPPos show3DIcons showChat showCinemaBorder showCommandingMenu showCompass showCuratorCompass showGPS showHUD showLegend showMap shownArtilleryComputer shownChat shownCompass shownCuratorCompass showNewEditorObject shownGPS shownHUD shownMap shownPad shownRadio shownScoretable shownUAVFeed shownWarrant shownWatch showPad showRadio showScoretable showSubtitles showUAVFeed showWarrant showWatch showWaypoint showWaypoints side sideChat sideEnemy sideFriendly sideRadio simpleTasks simulationEnabled simulCloudDensity simulCloudOcclusion simulInClouds simulWeatherSync sin size sizeOf skill skillFinal skipTime sleep sliderPosition sliderRange sliderSetPosition sliderSetRange sliderSetSpeed sliderSpeed slingLoadAssistantShown soldierMagazines someAmmo sort soundVolume spawn speaker speed speedMode splitString sqrt squadParams stance startLoadingScreen step stop stopEngineRTD stopped str sunOrMoon supportInfo suppressFor surfaceIsWater surfaceNormal surfaceType swimInDepth switchableUnits switchAction switchCamera switchGesture switchLight switchMove synchronizedObjects synchronizedTriggers synchronizedWaypoints synchronizeObjectsAdd synchronizeObjectsRemove synchronizeTrigger synchronizeWaypoint systemChat systemOfUnits tan targetKnowledge targets targetsAggregate targetsQuery taskAlwaysVisible taskChildren taskCompleted taskCustomData taskDescription taskDestination taskHint taskMarkerOffset taskParent taskResult taskState taskType teamMember teamName teams teamSwitch teamSwitchEnabled teamType terminate terrainIntersect terrainIntersectASL terrainIntersectAtASL text textLog textLogFormat tg time timeMultiplier titleCut titleFadeOut titleObj titleRsc titleText toArray toFixed 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part_type_colour_rgb part_type_colour_hsv part_type_color1 part_type_color2 part_type_color3 part_type_color_mix part_type_color_rgb part_type_color_hsv part_type_alpha1 part_type_alpha2 part_type_alpha3 part_type_blend part_system_create part_system_create_layer part_system_destroy part_system_exists part_system_clear part_system_draw_order part_system_depth part_system_position part_system_automatic_update part_system_automatic_draw part_system_update part_system_drawit part_system_get_layer part_system_layer part_particles_create part_particles_create_colour part_particles_create_color part_particles_clear part_particles_count part_emitter_create part_emitter_destroy part_emitter_destroy_all part_emitter_exists part_emitter_clear part_emitter_region part_emitter_burst part_emitter_stream external_call external_define external_free window_handle window_device matrix_get matrix_set matrix_build_identity matrix_build matrix_build_lookat matrix_build_projection_ortho matrix_build_projection_perspective matrix_build_projection_perspective_fov matrix_multiply matrix_transform_vertex matrix_stack_push matrix_stack_pop matrix_stack_multiply matrix_stack_set matrix_stack_clear matrix_stack_top matrix_stack_is_empty browser_input_capture os_get_config os_get_info os_get_language os_get_region os_lock_orientation display_get_dpi_x display_get_dpi_y display_set_gui_size display_set_gui_maximise display_set_gui_maximize device_mouse_dbclick_enable display_set_timing_method display_get_timing_method display_set_sleep_margin display_get_sleep_margin virtual_key_add virtual_key_hide virtual_key_delete virtual_key_show draw_enable_drawevent draw_enable_swf_aa draw_set_swf_aa_level draw_get_swf_aa_level draw_texture_flush draw_flush gpu_set_blendenable gpu_set_ztestenable gpu_set_zfunc gpu_set_zwriteenable gpu_set_lightingenable gpu_set_fog gpu_set_cullmode gpu_set_blendmode gpu_set_blendmode_ext gpu_set_blendmode_ext_sepalpha gpu_set_colorwriteenable gpu_set_colourwriteenable gpu_set_alphatestenable gpu_set_alphatestref gpu_set_alphatestfunc gpu_set_texfilter gpu_set_texfilter_ext gpu_set_texrepeat gpu_set_texrepeat_ext gpu_set_tex_filter gpu_set_tex_filter_ext gpu_set_tex_repeat gpu_set_tex_repeat_ext gpu_set_tex_mip_filter gpu_set_tex_mip_filter_ext gpu_set_tex_mip_bias gpu_set_tex_mip_bias_ext gpu_set_tex_min_mip gpu_set_tex_min_mip_ext gpu_set_tex_max_mip gpu_set_tex_max_mip_ext gpu_set_tex_max_aniso gpu_set_tex_max_aniso_ext gpu_set_tex_mip_enable gpu_set_tex_mip_enable_ext gpu_get_blendenable gpu_get_ztestenable gpu_get_zfunc gpu_get_zwriteenable gpu_get_lightingenable gpu_get_fog gpu_get_cullmode gpu_get_blendmode gpu_get_blendmode_ext gpu_get_blendmode_ext_sepalpha gpu_get_blendmode_src gpu_get_blendmode_dest gpu_get_blendmode_srcalpha gpu_get_blendmode_destalpha gpu_get_colorwriteenable gpu_get_colourwriteenable gpu_get_alphatestenable gpu_get_alphatestref gpu_get_alphatestfunc gpu_get_texfilter gpu_get_texfilter_ext gpu_get_texrepeat gpu_get_texrepeat_ext gpu_get_tex_filter gpu_get_tex_filter_ext gpu_get_tex_repeat gpu_get_tex_repeat_ext gpu_get_tex_mip_filter gpu_get_tex_mip_filter_ext gpu_get_tex_mip_bias gpu_get_tex_mip_bias_ext gpu_get_tex_min_mip gpu_get_tex_min_mip_ext gpu_get_tex_max_mip gpu_get_tex_max_mip_ext gpu_get_tex_max_aniso gpu_get_tex_max_aniso_ext gpu_get_tex_mip_enable gpu_get_tex_mip_enable_ext gpu_push_state gpu_pop_state gpu_get_state gpu_set_state draw_light_define_ambient draw_light_define_direction draw_light_define_point draw_light_enable draw_set_lighting draw_light_get_ambient draw_light_get draw_get_lighting shop_leave_rating url_get_domain url_open url_open_ext url_open_full get_timer achievement_login achievement_logout achievement_post achievement_increment achievement_post_score achievement_available achievement_show_achievements achievement_show_leaderboards achievement_load_friends achievement_load_leaderboard achievement_send_challenge achievement_load_progress achievement_reset achievement_login_status achievement_get_pic achievement_show_challenge_notifications achievement_get_challenges achievement_event achievement_show achievement_get_info cloud_file_save cloud_string_save cloud_synchronise ads_enable ads_disable ads_setup ads_engagement_launch ads_engagement_available ads_engagement_active ads_event ads_event_preload ads_set_reward_callback ads_get_display_height ads_get_display_width ads_move ads_interstitial_available ads_interstitial_display device_get_tilt_x device_get_tilt_y device_get_tilt_z device_is_keypad_open device_mouse_check_button device_mouse_check_button_pressed device_mouse_check_button_released device_mouse_x device_mouse_y device_mouse_raw_x device_mouse_raw_y device_mouse_x_to_gui device_mouse_y_to_gui iap_activate iap_status iap_enumerate_products iap_restore_all iap_acquire iap_consume iap_product_details iap_purchase_details facebook_init facebook_login facebook_status facebook_graph_request facebook_dialog facebook_logout facebook_launch_offerwall facebook_post_message facebook_send_invite facebook_user_id facebook_accesstoken facebook_check_permission facebook_request_read_permissions facebook_request_publish_permissions gamepad_is_supported gamepad_get_device_count gamepad_is_connected gamepad_get_description gamepad_get_button_threshold gamepad_set_button_threshold gamepad_get_axis_deadzone gamepad_set_axis_deadzone gamepad_button_count gamepad_button_check gamepad_button_check_pressed gamepad_button_check_released gamepad_button_value gamepad_axis_count gamepad_axis_value gamepad_set_vibration gamepad_set_colour gamepad_set_color os_is_paused window_has_focus code_is_compiled http_get http_get_file http_post_string http_request json_encode json_decode zip_unzip load_csv base64_encode base64_decode md5_string_unicode md5_string_utf8 md5_file os_is_network_connected sha1_string_unicode sha1_string_utf8 sha1_file os_powersave_enable analytics_event analytics_event_ext win8_livetile_tile_notification win8_livetile_tile_clear win8_livetile_badge_notification win8_livetile_badge_clear win8_livetile_queue_enable win8_secondarytile_pin win8_secondarytile_badge_notification win8_secondarytile_delete win8_livetile_notification_begin win8_livetile_notification_secondary_begin win8_livetile_notification_expiry win8_livetile_notification_tag win8_livetile_notification_text_add win8_livetile_notification_image_add win8_livetile_notification_end win8_appbar_enable win8_appbar_add_element win8_appbar_remove_element win8_settingscharm_add_entry win8_settingscharm_add_html_entry win8_settingscharm_add_xaml_entry win8_settingscharm_set_xaml_property win8_settingscharm_get_xaml_property win8_settingscharm_remove_entry win8_share_image win8_share_screenshot win8_share_file win8_share_url win8_share_text win8_search_enable win8_search_disable win8_search_add_suggestions win8_device_touchscreen_available win8_license_initialize_sandbox win8_license_trial_version winphone_license_trial_version winphone_tile_title winphone_tile_count winphone_tile_back_title winphone_tile_back_content winphone_tile_back_content_wide winphone_tile_front_image winphone_tile_front_image_small winphone_tile_front_image_wide winphone_tile_back_image winphone_tile_back_image_wide winphone_tile_background_colour winphone_tile_background_color winphone_tile_icon_image winphone_tile_small_icon_image winphone_tile_wide_content winphone_tile_cycle_images winphone_tile_small_background_image physics_world_create physics_world_gravity physics_world_update_speed physics_world_update_iterations physics_world_draw_debug physics_pause_enable physics_fixture_create physics_fixture_set_kinematic physics_fixture_set_density physics_fixture_set_awake physics_fixture_set_restitution physics_fixture_set_friction physics_fixture_set_collision_group physics_fixture_set_sensor physics_fixture_set_linear_damping physics_fixture_set_angular_damping physics_fixture_set_circle_shape physics_fixture_set_box_shape physics_fixture_set_edge_shape physics_fixture_set_polygon_shape physics_fixture_set_chain_shape physics_fixture_add_point physics_fixture_bind physics_fixture_bind_ext physics_fixture_delete physics_apply_force physics_apply_impulse physics_apply_angular_impulse physics_apply_local_force physics_apply_local_impulse physics_apply_torque physics_mass_properties physics_draw_debug physics_test_overlap physics_remove_fixture physics_set_friction physics_set_density physics_set_restitution physics_get_friction physics_get_density physics_get_restitution physics_joint_distance_create physics_joint_rope_create physics_joint_revolute_create physics_joint_prismatic_create physics_joint_pulley_create physics_joint_wheel_create physics_joint_weld_create physics_joint_friction_create physics_joint_gear_create physics_joint_enable_motor physics_joint_get_value physics_joint_set_value physics_joint_delete physics_particle_create physics_particle_delete physics_particle_delete_region_circle physics_particle_delete_region_box physics_particle_delete_region_poly physics_particle_set_flags physics_particle_set_category_flags physics_particle_draw physics_particle_draw_ext physics_particle_count physics_particle_get_data physics_particle_get_data_particle physics_particle_group_begin physics_particle_group_circle physics_particle_group_box physics_particle_group_polygon physics_particle_group_add_point physics_particle_group_end physics_particle_group_join physics_particle_group_delete physics_particle_group_count physics_particle_group_get_data physics_particle_group_get_mass physics_particle_group_get_inertia physics_particle_group_get_centre_x physics_particle_group_get_centre_y physics_particle_group_get_vel_x physics_particle_group_get_vel_y physics_particle_group_get_ang_vel physics_particle_group_get_x physics_particle_group_get_y physics_particle_group_get_angle physics_particle_set_group_flags physics_particle_get_group_flags physics_particle_get_max_count physics_particle_get_radius physics_particle_get_density physics_particle_get_damping physics_particle_get_gravity_scale physics_particle_set_max_count physics_particle_set_radius physics_particle_set_density physics_particle_set_damping physics_particle_set_gravity_scale network_create_socket network_create_socket_ext network_create_server network_create_server_raw network_connect network_connect_raw network_send_packet network_send_raw network_send_broadcast network_send_udp network_send_udp_raw network_set_timeout network_set_config network_resolve network_destroy buffer_create buffer_write buffer_read buffer_seek buffer_get_surface buffer_set_surface buffer_delete buffer_exists buffer_get_type buffer_get_alignment buffer_poke buffer_peek buffer_save buffer_save_ext buffer_load buffer_load_ext buffer_load_partial buffer_copy buffer_fill buffer_get_size buffer_tell buffer_resize buffer_md5 buffer_sha1 buffer_base64_encode buffer_base64_decode buffer_base64_decode_ext buffer_sizeof buffer_get_address buffer_create_from_vertex_buffer buffer_create_from_vertex_buffer_ext buffer_copy_from_vertex_buffer buffer_async_group_begin buffer_async_group_option buffer_async_group_end buffer_load_async buffer_save_async gml_release_mode gml_pragma steam_activate_overlay steam_is_overlay_enabled steam_is_overlay_activated steam_get_persona_name steam_initialised steam_is_cloud_enabled_for_app steam_is_cloud_enabled_for_account steam_file_persisted steam_get_quota_total steam_get_quota_free steam_file_write steam_file_write_file steam_file_read steam_file_delete steam_file_exists steam_file_size steam_file_share steam_is_screenshot_requested steam_send_screenshot steam_is_user_logged_on steam_get_user_steam_id steam_user_owns_dlc steam_user_installed_dlc steam_set_achievement steam_get_achievement steam_clear_achievement steam_set_stat_int steam_set_stat_float steam_set_stat_avg_rate steam_get_stat_int steam_get_stat_float steam_get_stat_avg_rate steam_reset_all_stats steam_reset_all_stats_achievements steam_stats_ready steam_create_leaderboard steam_upload_score steam_upload_score_ext steam_download_scores_around_user steam_download_scores steam_download_friends_scores steam_upload_score_buffer steam_upload_score_buffer_ext steam_current_game_language steam_available_languages steam_activate_overlay_browser steam_activate_overlay_user steam_activate_overlay_store steam_get_user_persona_name steam_get_app_id steam_get_user_account_id steam_ugc_download steam_ugc_create_item steam_ugc_start_item_update steam_ugc_set_item_title steam_ugc_set_item_description steam_ugc_set_item_visibility steam_ugc_set_item_tags steam_ugc_set_item_content steam_ugc_set_item_preview steam_ugc_submit_item_update steam_ugc_get_item_update_progress steam_ugc_subscribe_item steam_ugc_unsubscribe_item steam_ugc_num_subscribed_items steam_ugc_get_subscribed_items steam_ugc_get_item_install_info steam_ugc_get_item_update_info steam_ugc_request_item_details steam_ugc_create_query_user steam_ugc_create_query_user_ex steam_ugc_create_query_all steam_ugc_create_query_all_ex steam_ugc_query_set_cloud_filename_filter steam_ugc_query_set_match_any_tag steam_ugc_query_set_search_text steam_ugc_query_set_ranked_by_trend_days steam_ugc_query_add_required_tag steam_ugc_query_add_excluded_tag steam_ugc_query_set_return_long_description steam_ugc_query_set_return_total_only steam_ugc_query_set_allow_cached_response steam_ugc_send_query shader_set shader_get_name shader_reset shader_current shader_is_compiled shader_get_sampler_index shader_get_uniform shader_set_uniform_i shader_set_uniform_i_array shader_set_uniform_f shader_set_uniform_f_array shader_set_uniform_matrix shader_set_uniform_matrix_array shader_enable_corner_id texture_set_stage texture_get_texel_width texture_get_texel_height shaders_are_supported vertex_format_begin vertex_format_end vertex_format_delete vertex_format_add_position vertex_format_add_position_3d vertex_format_add_colour vertex_format_add_color vertex_format_add_normal vertex_format_add_texcoord vertex_format_add_textcoord vertex_format_add_custom vertex_create_buffer vertex_create_buffer_ext vertex_delete_buffer vertex_begin vertex_end vertex_position vertex_position_3d vertex_colour vertex_color vertex_argb vertex_texcoord vertex_normal vertex_float1 vertex_float2 vertex_float3 vertex_float4 vertex_ubyte4 vertex_submit vertex_freeze vertex_get_number vertex_get_buffer_size vertex_create_buffer_from_buffer vertex_create_buffer_from_buffer_ext push_local_notification push_get_first_local_notification push_get_next_local_notification push_cancel_local_notification skeleton_animation_set skeleton_animation_get skeleton_animation_mix skeleton_animation_set_ext skeleton_animation_get_ext skeleton_animation_get_duration skeleton_animation_get_frames skeleton_animation_clear skeleton_skin_set skeleton_skin_get skeleton_attachment_set skeleton_attachment_get skeleton_attachment_create skeleton_collision_draw_set skeleton_bone_data_get skeleton_bone_data_set skeleton_bone_state_get skeleton_bone_state_set skeleton_get_minmax skeleton_get_num_bounds skeleton_get_bounds skeleton_animation_get_frame skeleton_animation_set_frame draw_skeleton draw_skeleton_time draw_skeleton_instance draw_skeleton_collision skeleton_animation_list skeleton_skin_list skeleton_slot_data layer_get_id layer_get_id_at_depth layer_get_depth layer_create layer_destroy layer_destroy_instances layer_add_instance layer_has_instance layer_set_visible layer_get_visible layer_exists layer_x layer_y layer_get_x layer_get_y layer_hspeed layer_vspeed layer_get_hspeed layer_get_vspeed layer_script_begin layer_script_end layer_shader layer_get_script_begin layer_get_script_end layer_get_shader layer_set_target_room layer_get_target_room layer_reset_target_room layer_get_all layer_get_all_elements layer_get_name layer_depth layer_get_element_layer layer_get_element_type layer_element_move layer_force_draw_depth layer_is_draw_depth_forced layer_get_forced_depth layer_background_get_id layer_background_exists layer_background_create layer_background_destroy layer_background_visible layer_background_change layer_background_sprite layer_background_htiled layer_background_vtiled layer_background_stretch layer_background_yscale layer_background_xscale layer_background_blend layer_background_alpha layer_background_index layer_background_speed layer_background_get_visible layer_background_get_sprite layer_background_get_htiled layer_background_get_vtiled layer_background_get_stretch layer_background_get_yscale layer_background_get_xscale layer_background_get_blend layer_background_get_alpha layer_background_get_index layer_background_get_speed layer_sprite_get_id layer_sprite_exists layer_sprite_create layer_sprite_destroy layer_sprite_change layer_sprite_index layer_sprite_speed layer_sprite_xscale layer_sprite_yscale layer_sprite_angle layer_sprite_blend layer_sprite_alpha layer_sprite_x layer_sprite_y layer_sprite_get_sprite layer_sprite_get_index layer_sprite_get_speed layer_sprite_get_xscale layer_sprite_get_yscale layer_sprite_get_angle layer_sprite_get_blend layer_sprite_get_alpha layer_sprite_get_x layer_sprite_get_y layer_tilemap_get_id layer_tilemap_exists layer_tilemap_create layer_tilemap_destroy tilemap_tileset tilemap_x tilemap_y tilemap_set tilemap_set_at_pixel tilemap_get_tileset tilemap_get_tile_width tilemap_get_tile_height tilemap_get_width tilemap_get_height tilemap_get_x tilemap_get_y tilemap_get tilemap_get_at_pixel tilemap_get_cell_x_at_pixel tilemap_get_cell_y_at_pixel tilemap_clear draw_tilemap draw_tile tilemap_set_global_mask tilemap_get_global_mask tilemap_set_mask tilemap_get_mask tilemap_get_frame tile_set_empty tile_set_index tile_set_flip tile_set_mirror tile_set_rotate tile_get_empty tile_get_index tile_get_flip tile_get_mirror tile_get_rotate layer_tile_exists layer_tile_create layer_tile_destroy layer_tile_change layer_tile_xscale layer_tile_yscale layer_tile_blend layer_tile_alpha layer_tile_x layer_tile_y layer_tile_region layer_tile_visible layer_tile_get_sprite layer_tile_get_xscale layer_tile_get_yscale layer_tile_get_blend layer_tile_get_alpha layer_tile_get_x layer_tile_get_y layer_tile_get_region layer_tile_get_visible layer_instance_get_instance instance_activate_layer instance_deactivate_layer camera_create camera_create_view camera_destroy camera_apply camera_get_active camera_get_default camera_set_default camera_set_view_mat camera_set_proj_mat camera_set_update_script camera_set_begin_script camera_set_end_script camera_set_view_pos camera_set_view_size camera_set_view_speed camera_set_view_border camera_set_view_angle camera_set_view_target camera_get_view_mat camera_get_proj_mat camera_get_update_script camera_get_begin_script camera_get_end_script camera_get_view_x camera_get_view_y camera_get_view_width camera_get_view_height camera_get_view_speed_x camera_get_view_speed_y camera_get_view_border_x camera_get_view_border_y camera_get_view_angle camera_get_view_target view_get_camera view_get_visible view_get_xport view_get_yport view_get_wport view_get_hport view_get_surface_id view_set_camera view_set_visible view_set_xport view_set_yport view_set_wport view_set_hport view_set_surface_id gesture_drag_time gesture_drag_distance gesture_flick_speed gesture_double_tap_time gesture_double_tap_distance gesture_pinch_distance gesture_pinch_angle_towards gesture_pinch_angle_away gesture_rotate_time gesture_rotate_angle gesture_tap_count gesture_get_drag_time gesture_get_drag_distance gesture_get_flick_speed gesture_get_double_tap_time gesture_get_double_tap_distance gesture_get_pinch_distance gesture_get_pinch_angle_towards gesture_get_pinch_angle_away gesture_get_rotate_time gesture_get_rotate_angle gesture_get_tap_count keyboard_virtual_show keyboard_virtual_hide keyboard_virtual_status keyboard_virtual_height",literal:"self other all noone global local undefined pointer_invalid pointer_null path_action_stop path_action_restart path_action_continue path_action_reverse true false pi GM_build_date GM_version GM_runtime_version timezone_local timezone_utc gamespeed_fps gamespeed_microseconds ev_create ev_destroy ev_step ev_alarm ev_keyboard ev_mouse ev_collision ev_other ev_draw ev_draw_begin ev_draw_end ev_draw_pre ev_draw_post ev_keypress ev_keyrelease ev_trigger ev_left_button ev_right_button ev_middle_button ev_no_button ev_left_press ev_right_press ev_middle_press ev_left_release ev_right_release ev_middle_release ev_mouse_enter ev_mouse_leave ev_mouse_wheel_up ev_mouse_wheel_down ev_global_left_button ev_global_right_button ev_global_middle_button ev_global_left_press ev_global_right_press ev_global_middle_press ev_global_left_release ev_global_right_release ev_global_middle_release ev_joystick1_left ev_joystick1_right ev_joystick1_up ev_joystick1_down 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' +\n 'goto save else use module select case ' +\n 'access blank direct exist file fmt form formatted iostat name named nextrec number opened rec recl sequential status unformatted unit ' +\n 'continue format pause cycle exit ' +\n 'c_null_char c_alert c_backspace c_form_feed flush wait decimal round iomsg ' +\n 'synchronous nopass non_overridable pass protected volatile abstract extends import ' +\n 'non_intrinsic value deferred generic final enumerator class associate bind enum ' +\n 'c_int c_short c_long c_long_long c_signed_char c_size_t c_int8_t c_int16_t c_int32_t c_int64_t c_int_least8_t c_int_least16_t ' +\n 'c_int_least32_t c_int_least64_t c_int_fast8_t c_int_fast16_t c_int_fast32_t c_int_fast64_t c_intmax_t C_intptr_t c_float c_double ' +\n 'c_long_double c_float_complex c_double_complex c_long_double_complex c_bool c_char c_null_ptr c_null_funptr ' +\n 'c_new_line c_carriage_return c_horizontal_tab c_vertical_tab iso_c_binding c_loc c_funloc c_associated c_f_pointer ' +\n 'c_ptr c_funptr iso_fortran_env character_storage_size error_unit file_storage_size input_unit iostat_end iostat_eor ' +\n 'numeric_storage_size output_unit c_f_procpointer ieee_arithmetic ieee_support_underflow_control ' +\n 'ieee_get_underflow_mode ieee_set_underflow_mode newunit contiguous recursive ' +\n 'pad position action delim readwrite eor advance nml interface procedure namelist include sequence elemental pure ' +\n 'integer real character complex logical dimension allocatable|10 parameter ' +\n 'external implicit|10 none double precision assign intent optional pointer ' +\n 'target in out common equivalence data ' +\n // IRPF90 special keywords\n 'begin_provider &begin_provider end_provider begin_shell end_shell begin_template end_template subst assert touch ' +\n 'soft_touch provide no_dep free irp_if irp_else irp_endif irp_write irp_read',\n built_in: 'alog alog10 amax0 amax1 amin0 amin1 amod cabs ccos cexp clog csin csqrt dabs dacos dasin datan datan2 dcos dcosh ddim dexp dint ' +\n 'dlog dlog10 dmax1 dmin1 dmod dnint dsign dsin dsinh dsqrt dtan dtanh float iabs idim idint idnint ifix isign max0 max1 min0 min1 sngl ' +\n 'algama cdabs cdcos cdexp cdlog cdsin cdsqrt cqabs cqcos cqexp cqlog cqsin cqsqrt dcmplx dconjg derf derfc dfloat dgamma dimag dlgama ' +\n 'iqint qabs qacos qasin qatan qatan2 qcmplx qconjg qcos qcosh qdim qerf qerfc qexp qgamma qimag qlgama qlog qlog10 qmax1 qmin1 qmod ' +\n 'qnint qsign qsin qsinh qsqrt qtan qtanh abs acos aimag aint anint asin atan atan2 char cmplx conjg cos cosh exp ichar index int log ' +\n 'log10 max min nint sign sin sinh sqrt tan tanh print write dim lge lgt lle llt mod nullify allocate deallocate ' +\n 'adjustl adjustr all allocated any associated bit_size btest ceiling count cshift date_and_time digits dot_product ' +\n 'eoshift epsilon exponent floor fraction huge iand ibclr ibits ibset ieor ior ishft ishftc lbound len_trim matmul ' +\n 'maxexponent maxloc maxval merge minexponent minloc minval modulo mvbits nearest pack present product ' +\n 'radix random_number random_seed range repeat reshape rrspacing scale scan selected_int_kind selected_real_kind ' +\n 'set_exponent shape size spacing spread sum system_clock tiny transpose trim ubound unpack verify achar iachar transfer ' +\n 'dble entry dprod cpu_time command_argument_count get_command get_command_argument get_environment_variable is_iostat_end ' +\n 'ieee_arithmetic ieee_support_underflow_control ieee_get_underflow_mode ieee_set_underflow_mode ' +\n 'is_iostat_eor move_alloc new_line selected_char_kind same_type_as extends_type_of' +\n 'acosh asinh atanh bessel_j0 bessel_j1 bessel_jn bessel_y0 bessel_y1 bessel_yn erf erfc erfc_scaled gamma log_gamma hypot norm2 ' +\n 'atomic_define atomic_ref execute_command_line leadz trailz storage_size merge_bits ' +\n 'bge bgt ble blt dshiftl dshiftr findloc iall iany iparity image_index lcobound ucobound maskl maskr ' +\n 'num_images parity popcnt poppar shifta shiftl shiftr this_image ' +\n 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'>',\n keywords: {name: 'style'},\n contains: [TAG_INTERNALS],\n starts: {\n end: '', returnEnd: true,\n subLanguage: ['css', 'xml']\n }\n },\n {\n className: 'tag',\n // See the comment in the