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\[ Stefano Pigozzi + Caterina Gazzotti + Fabio Zanichelli | Tema OpenMP | Laboratorio High Performance Computing | Unimore \]
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\[ **Stefano Pigozzi** + **Caterina Gazzotti** + **Fabio Zanichelli** | Topic OpenMP | High Performance Computing Laboratory | Unimore \]
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# Ottimizzazione di codice C con OpenMP
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# C code optimization using OpenMP
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\[ [**Guida per il team**](CONTRIBUTING.md) \]
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> ### Assignment #1
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> ### Assignment #1
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>
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>
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> #### Assigned application
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> #### Assigned application
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>
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>
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> Group 3: `OpenMP/linear-algebra/kernels/atax`
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> Group 3: `OpenMP/linear-algebra/kernels/atax`
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## Developed features
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* [Workaround for unavailable `M_PI`](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/atax.c#L13-L18)
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* [Enabled `POLYBENCH_TIME` by default](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/Makefile#L4-L5)
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* [Enabled extra warnings by default](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/Makefile#L6-L8)
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* [Applied the maximum level of compiler optimizations](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/Makefile#L9-L10)
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* [Replaced `tmp` array with a iteration-local variable](https://github.com/Steffo99/unimore-hpc-1/commit/7fc2506cc7c6743288a56047cbb44e960abec4fc)
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* Created static OpenMP parallelizations to most `for` loops in the program:
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* [First loop of `init_array`](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/atax.c#L29)
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* [Second loop of `init_array`](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/atax.c#L37)
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* [First loop of `kernel_atax`](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/atax.c#L71)
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* [Second loop of `kernel_atax`](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/atax.c#L80)
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* Gated parallelizations behind flags, allowing their configurations at compile time:
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* [`TOGGLE_INIT_ARRAY_1` for the first loop of `init_array`](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/atax.c#L28)
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* [`TOGGLE_INIT_ARRAY_2` for the second loop of `init_array`](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/atax.c#L36)
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* [`TOGGLE_KERNEL_ATAX_1` for the first loop of `kernel_atax`](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/atax.c#L70)
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* [`TOGGLE_KERNEL_ATAX_2` for the second loop of `kernel_atax`](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/atax.c#L79)
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* [Made the parallelization thread count configurable at compile time](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/Makefile#L11-L12)
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* [Allowed the addition of `CFLAGS` from `make` calls](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/Makefile#L13-L14)
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* [Disabled `make` output](https://github.com/Steffo99/unimore-hpc-1/commit/f655df0eb7e539b06965de7c79dbc1c7bc6a5950)
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* [Created `make bench` target to run](https://github.com/Steffo99/unimore-hpc-1/blob/bffa0502393d97e7cda4ac34c57dd9c3ac9ac9dc/OpenMP/linear-algebra/kernels/atax/Makefile#L20-L23) [a script performing multiple parametrized tests on the code to determine the best optimizations](https://github.com/Steffo99/unimore-hpc-1/blob/master/OpenMP/linear-algebra/kernels/atax/.bench.sh)
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* [Moved `polybench_start_instruments` to include the `init_array` function](https://github.com/Steffo99/unimore-hpc-1/commit/0ba75336e60b1cf149684a5f259fa933a36e2c5c)
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## Results
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```console
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$ make bench
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Flags: -DMINI_DATASET
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......................... Average of 25 runs: 1.35e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_1
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......................... Average of 25 runs: 1.92e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_2
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......................... Average of 25 runs: 2.16e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2
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......................... Average of 25 runs: 2.61e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 1.9e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 2.12e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 2.36e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 2.58e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 1.72e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 1.91e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
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|
......................... Average of 25 runs: 2.12e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 2.32e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 1.92e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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|
......................... Average of 25 runs: 2.11e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 2.3e-05 seconds
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Flags: -DMINI_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 2.6e-05 seconds
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Flags: -DSMALL_DATASET
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......................... Average of 25 runs: 0.00751 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_1
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......................... Average of 25 runs: 0.00752 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_2
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......................... Average of 25 runs: 0.00279 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2
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|
......................... Average of 25 runs: 0.0028 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 0.00761 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 0.00761 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 0.00289 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 0.00293 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 0.00707 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 0.00703 seconds
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|
Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
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|
......................... Average of 25 runs: 0.00228 seconds
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||||||
|
Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
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|
......................... Average of 25 runs: 0.00227 seconds
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||||||
|
Flags: -DSMALL_DATASET -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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|
......................... Average of 25 runs: 0.00707 seconds
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Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 0.00706 seconds
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||||||
|
Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 0.00228 seconds
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||||||
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Flags: -DSMALL_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 0.00228 seconds
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||||||
|
Flags: -DSTANDARD_DATASET
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||||||
|
......................... Average of 25 runs: 0.419 seconds
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||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_1
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||||||
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......................... Average of 25 runs: 0.419 seconds
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||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_2
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||||||
|
......................... Average of 25 runs: 0.162 seconds
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||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2
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||||||
|
......................... Average of 25 runs: 0.162 seconds
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||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_KERNEL_ATAX_1
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||||||
|
......................... Average of 25 runs: 0.42 seconds
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||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1
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|
......................... Average of 25 runs: 0.42 seconds
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|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 0.162 seconds
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Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
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......................... Average of 25 runs: 0.162 seconds
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Flags: -DSTANDARD_DATASET -DTOGGLE_KERNEL_ATAX_2
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||||||
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......................... Average of 25 runs: 0.386 seconds
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|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 0.386 seconds
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||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 0.128 seconds
|
||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 0.128 seconds
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||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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|
......................... Average of 25 runs: 0.386 seconds
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||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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|
......................... Average of 25 runs: 0.386 seconds
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||||||
|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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......................... Average of 25 runs: 0.128 seconds
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|
Flags: -DSTANDARD_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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|
......................... Average of 25 runs: 0.129 seconds
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||||||
|
Flags: -DLARGE_DATASET
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||||||
|
......................... Average of 25 runs: 1.83 seconds
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||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_1
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|
......................... Average of 25 runs: 1.83 seconds
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|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_2
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|
......................... Average of 25 runs: 0.707 seconds
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||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2
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||||||
|
......................... Average of 25 runs: 0.707 seconds
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||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_KERNEL_ATAX_1
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||||||
|
......................... Average of 25 runs: 1.82 seconds
|
||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1
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||||||
|
......................... Average of 25 runs: 1.82 seconds
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||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
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||||||
|
......................... Average of 25 runs: 0.704 seconds
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||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
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|
......................... Average of 25 runs: 0.703 seconds
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||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 1.64 seconds
|
||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_2
|
||||||
|
......................... Average of 25 runs: 1.64 seconds
|
||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
|
||||||
|
......................... Average of 25 runs: 0.527 seconds
|
||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
|
||||||
|
......................... Average of 25 runs: 0.527 seconds
|
||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 1.63 seconds
|
||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 1.64 seconds
|
||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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|
......................... Average of 25 runs: 0.527 seconds
|
||||||
|
Flags: -DLARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 0.525 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET
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||||||
|
......................... Average of 25 runs: 4.24 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_1
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||||||
|
......................... Average of 25 runs: 4.23 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_2
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||||||
|
......................... Average of 25 runs: 1.65 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2
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||||||
|
......................... Average of 25 runs: 1.65 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_KERNEL_ATAX_1
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||||||
|
......................... Average of 25 runs: 4.22 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1
|
||||||
|
......................... Average of 25 runs: 4.16 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
|
||||||
|
......................... Average of 25 runs: 1.62 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1
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||||||
|
......................... Average of 25 runs: 1.62 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 3.69 seconds
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||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 3.68 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
|
||||||
|
......................... Average of 25 runs: 1.2 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_2
|
||||||
|
......................... Average of 25 runs: 1.2 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
|
||||||
|
......................... Average of 25 runs: 3.67 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
|
||||||
|
......................... Average of 25 runs: 3.67 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
|
||||||
|
......................... Average of 25 runs: 1.19 seconds
|
||||||
|
Flags: -DEXTRALARGE_DATASET -DTOGGLE_INIT_ARRAY_1 -DTOGGLE_INIT_ARRAY_2 -DTOGGLE_KERNEL_ATAX_1 -DTOGGLE_KERNEL_ATAX_2
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||||||
|
......................... Average of 25 runs: 1.19 seconds
|
||||||
|
```
|
||||||
|
|
||||||
|
### Validation
|
||||||
|
|
||||||
|
* Compiler used: **gcc**
|
||||||
|
* Jetson Nano used: `8`
|
||||||
|
|
||||||
|
To reproduce the obtained results:
|
||||||
|
|
||||||
|
1. Clone the repository on a Jetson Nano:
|
||||||
|
|
||||||
|
```console
|
||||||
|
$ git clone https://github.com/Steffo99/unimore-hpc-1
|
||||||
|
```
|
||||||
|
|
||||||
|
2. Access our group's assigned folder:
|
||||||
|
|
||||||
|
```console
|
||||||
|
$ cd unimore-hpc-1/OpenMP/linear-algebra/kernels/atax
|
||||||
|
```
|
||||||
|
|
||||||
|
3. Checkout the exact commit the tests were executed on:
|
||||||
|
|
||||||
|
```console
|
||||||
|
$ git checkout 28479dfb4b730fb50a50e6da02b9b1fe4fb298db
|
||||||
|
```
|
||||||
|
|
||||||
|
4. Run the benchmarking script:
|
||||||
|
|
||||||
|
```console
|
||||||
|
$ make bench
|
||||||
|
```
|
||||||
|
|
|
||||||
Loading…
Reference in a new issue