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sgemm_hsw

This is an implementation of sgemm_kernel on L1d cache.

Test CPU: AMD Zen2 4750G Single Core @ 4.45GHz

Peak performance = 4.45GHz x (8 x 2 + 8 x 2) = 142.4 GFLOPS

Test case:

./sgemm_l1d 24 64

This means to compute a sgemm_kernel(m = 24, k = 64), while n is fixed to 24.

Test output:

sgemm_kernel_x64_fma(24, 24, 64): time = 0.520822 us, perf = 141.560930 GFLOPS.
sgemm_naive result: naive.bin
sgemm_kernel_x64_fma_m4n24 result: tuned.bin
Use fp_diff(https://github.com/pigirons/fp_diff) to compare the results.

Efficiency = 141.56093 / 142.4 = 99.4%

Diff results:

$./fp_diff naive.bin tuned.bin
Array Count:                       576

Average Absolute Error:            4.387564e-07
Max Absolute Error Position:       102
Max Absolute Error:                3.814697e-06

Average Relative Error:            2.836071e-08
Max Relative Error Position:       102
Max Relative Error:                2.285095e-07

Number of Relative Error(>1e-1):   0
Number of Relative Error(>1e-2):   0
Number of Relative Error(>1e-3):   0
Number of Relative Error(>1e-4):   0
Number of Relative Error(>1e-5):   0

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This is an implementation of sgemm_kernel on L1d cache.

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