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/*************************************************************************** |
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Copyright (c) 2021, The OpenBLAS Project |
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All rights reserved. |
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Redistribution and use in source and binary forms, with or without |
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modification, are permitted provided that the following conditions are |
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met: |
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1. Redistributions of source code must retain the above copyright |
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notice, this list of conditions and the following disclaimer. |
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2. Redistributions in binary form must reproduce the above copyright |
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notice, this list of conditions and the following disclaimer in |
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the documentation and/or other materials provided with the |
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distribution. |
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3. Neither the name of the OpenBLAS project nor the names of |
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its contributors may be used to endorse or promote products |
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derived from this software without specific prior written permission. |
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" |
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
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ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE |
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LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
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DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR |
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SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, |
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OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE |
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USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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*****************************************************************************/ |
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#include <immintrin.h> |
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#include "common.h" |
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#include <stdio.h> |
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#include <memory.h> |
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#define DECLARE_RESULT_512(M, N) __m512d result##M##N = _mm512_setzero_pd() |
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#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_pd(Aval##M, Bval##N, result##M##N) |
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#define LOAD_KA_512(M, N) __m512d Aval##M = _mm512_loadu_pd(&A[(i + M)*lda + k]); |
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#define LOAD_KB_512(M, N) __m512d Bval##N = _mm512_loadu_pd(&B[(j + N)*ldb + k]) |
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#define MASK_LOAD_KA_512(M, N) __m512d Aval##M = _mm512_maskz_loadu_pd(mask, &A[(i + M)*lda + k]) |
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#define MASK_LOAD_KB_512(M, N) __m512d Bval##N = _mm512_maskz_loadu_pd(mask, &B[(j + N)*ldb + k]) |
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#define REDUCE_4(rr0, rr1, rr2, rr3) \ |
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__m512d r0, r1, r2, r3, t0, t1, t2, t3;\ |
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r0 = _mm512_unpacklo_pd(rr0, rr1); r1 = _mm512_unpackhi_pd(rr0, rr1); \ |
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r2 = _mm512_unpacklo_pd(rr2, rr3); r3 = _mm512_unpackhi_pd(rr2, rr3); \ |
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t0 = _mm512_permutex2var_pd(r0, idx_lo, r2); t1 = _mm512_permutex2var_pd(r1, idx_lo, r3); \ |
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t2 = _mm512_permutex2var_pd(r0, idx_hi, r2); t3 = _mm512_permutex2var_pd(r1, idx_hi, r3); \ |
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r0 = _mm512_add_pd(t0, t1); r1 = _mm512_add_pd(t2, t3); t0 = _mm512_add_pd(r0, r1); \ |
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__m256d s0, s1; \ |
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s0 = _mm512_extractf64x4_pd(t0, 0); s1 = _mm512_extractf64x4_pd(t0, 1); \ |
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s0 = _mm256_add_pd(s0, s1); s0 = _mm256_mul_pd(alpha_256, s0); |
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#define REDUCE_M4(N) REDUCE_4(result0##N, result1##N, result2##N, result3##N) |
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#define REDUCE_N4(M) REDUCE_4(result##M##0, result##M##1, result##M##2, result##M##3) |
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#if defined(B0) |
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#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N) |
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#define STORE_M4(N, s0) _mm256_storeu_pd(&C[(j + N)*ldc + i], s0); |
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#define STORE_N4(M, s0) _mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8); |
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#else |
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#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N) + beta * C[(j+N)*ldc + i + M] |
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#define STORE_M4(N, s0) \ |
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asm("vfmadd231pd (%1), %2, %0": "+v"(s0):"r"(&C[(j + N)*ldc + i]), "v"(beta_256)); \ |
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_mm256_storeu_pd(&C[(j + N)*ldc + i], s0); |
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#define STORE_N4(M, s0) \ |
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s0 = _mm256_fmadd_pd(_mm256_i64gather_pd(&C[j*ldc + i + M], vindex_n, 8), beta_256, s0); \ |
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_mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8); |
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#endif |
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#define STORE_REDUCE_M4(N) {\ |
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REDUCE_M4(N) \ |
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STORE_M4(N, s0) \ |
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} |
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#define STORE_REDUCE_N4(M) {\ |
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REDUCE_N4(M) \ |
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STORE_N4(M, s0) \ |
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} |
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#if defined(B0) |
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int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc) |
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#else |
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int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc) |
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#endif |
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{ |
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// column major |
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BLASLONG i, j, k; |
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BLASLONG m4 = M & ~3; |
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BLASLONG m2 = M & ~1; |
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BLASLONG n4 = N & ~3; |
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BLASLONG n2 = N & ~1; |
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BLASLONG k8 = K & ~7; |
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__mmask8 mask; |
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__m256i vindex_n = _mm256_set_epi64x(ldc*3, ldc*2, ldc, 0); |
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__m256d alpha_256 = _mm256_broadcast_sd(&alpha); |
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#if !defined(B0) |
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__m256d beta_256 = _mm256_broadcast_sd(&beta); |
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#endif |
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long long permute_table[] = { |
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0, 1, 0|8, 1|8, 4, 5, 4|8, 5|8, |
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2, 3, 2|8, 3|8, 6, 7, 6|8, 7|8, |
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}; |
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__m512i idx_lo = _mm512_loadu_epi64(permute_table); |
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__m512i idx_hi = _mm512_loadu_epi64(permute_table + 8); |
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for (i = 0; i < m4; i += 4) { |
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for (j = 0; j < n4; j += 4) { |
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DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0); |
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DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1); |
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DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2); |
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DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3); |
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for (k = 0; k < k8; k += 8) { |
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LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x); |
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LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0); |
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MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1); |
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MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2); |
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MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3); |
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} |
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int remains = K - k; |
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if (remains) { |
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mask = (1UL << remains) - 1; |
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MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x); |
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MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0); |
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MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1); |
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MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2); |
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MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3); |
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} |
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STORE_REDUCE_M4(0); STORE_REDUCE_M4(1); STORE_REDUCE_M4(2); STORE_REDUCE_M4(3); |
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} |
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for (; j < n2; j += 2) { |
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DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0); |
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DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1); |
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for (k = 0; k < k8; k += 8) { |
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LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x); |
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LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0); |
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MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1); |
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} |
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int remains = K - k; |
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if (remains) { |
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mask = (1UL << remains) - 1; |
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MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x); |
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MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0); |
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MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1); |
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} |
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STORE_REDUCE_M4(0); STORE_REDUCE_M4(1); |
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} |
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for (; j < N; j += 1) { |
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DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0); |
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for (k = 0; k < k8; k += 8) { |
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LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x); |
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LOAD_KB_512(x, 0); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0); |
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} |
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int remains = K - k; |
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if (remains) { |
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mask = (1UL << remains) - 1; |
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MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x); |
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MASK_LOAD_KB_512(x, 0); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0); |
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} |
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STORE_REDUCE_M4(0); |
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} |
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} |
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for (; i < m2; i += 2) { |
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for (j = 0; j < n4; j += 4) { |
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DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); |
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DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); |
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DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); |
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DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); |
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for (k = 0; k < k8; k += 8) { |
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LOAD_KA_512(0, x); LOAD_KA_512(1, x); |
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LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); |
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MATMUL_512(0, 1); MATMUL_512(1, 1); |
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MATMUL_512(0, 2); MATMUL_512(1, 2); |
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MATMUL_512(0, 3); MATMUL_512(1, 3); |
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} |
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int remains = K - k; |
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if (remains) { |
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mask = (1UL << remains) - 1; |
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MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); |
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MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); |
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MATMUL_512(0, 1); MATMUL_512(1, 1); |
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MATMUL_512(0, 2); MATMUL_512(1, 2); |
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MATMUL_512(0, 3); MATMUL_512(1, 3); |
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} |
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STORE_REDUCE_N4(0); STORE_REDUCE_N4(1); |
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} |
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for (; j < n2; j += 2) { |
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DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); |
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DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); |
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for (k = 0; k < k8; k += 8) { |
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LOAD_KA_512(0, x); LOAD_KA_512(1, x); |
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LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); |
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MATMUL_512(0, 1); MATMUL_512(1, 1); |
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} |
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int remains = K - k; |
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if (remains) { |
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mask = (1UL << remains) - 1; |
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MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); |
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MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); |
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MATMUL_512(0, 1); MATMUL_512(1, 1); |
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} |
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STORE_REDUCE(0, 0); STORE_REDUCE(1, 0); |
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STORE_REDUCE(0, 1); STORE_REDUCE(1, 1); |
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} |
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for (; j < N; j += 1) { |
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DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); |
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for (k = 0; k < k8; k += 8) { |
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LOAD_KA_512(0, x); LOAD_KA_512(1, x); |
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LOAD_KB_512(x, 0); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); |
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} |
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int remains = K - k; |
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if (remains) { |
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mask = (1UL << remains) - 1; |
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MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); |
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MASK_LOAD_KB_512(x, 0); |
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MATMUL_512(0, 0); MATMUL_512(1, 0); |
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} |
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STORE_REDUCE(0, 0); STORE_REDUCE(1, 0); |
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} |
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} |
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for (; i < M; i += 1) { |
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for (j = 0; j < n4; j += 4) { |
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DECLARE_RESULT_512(0, 0); |
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DECLARE_RESULT_512(0, 1); |
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DECLARE_RESULT_512(0, 2); |
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DECLARE_RESULT_512(0, 3); |
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for (k = 0; k < k8; k += 8) { |
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LOAD_KA_512(0, x); |
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LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3); |
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MATMUL_512(0, 0); |
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MATMUL_512(0, 1); |
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MATMUL_512(0, 2); |
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MATMUL_512(0, 3); |
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} |
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int remains = K - k; |
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if (remains) { |
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mask = (1UL << remains) - 1; |
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MASK_LOAD_KA_512(0, x); |
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MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3); |
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MATMUL_512(0, 0); |
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MATMUL_512(0, 1); |
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MATMUL_512(0, 2); |
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MATMUL_512(0, 3); |
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} |
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STORE_REDUCE_N4(0); |
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} |
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for (; j < n2; j += 2) { |
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|
|
DECLARE_RESULT_512(0, 0); |
|
|
|
DECLARE_RESULT_512(0, 1); |
|
|
|
for (k = 0; k < k8; k += 8) { |
|
|
|
LOAD_KA_512(0, x); |
|
|
|
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); |
|
|
|
|
|
|
|
MATMUL_512(0, 0); |
|
|
|
MATMUL_512(0, 1); |
|
|
|
} |
|
|
|
int remains = K - k; |
|
|
|
if (remains) { |
|
|
|
mask = (1UL << remains) - 1; |
|
|
|
MASK_LOAD_KA_512(0, x); |
|
|
|
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); |
|
|
|
|
|
|
|
MATMUL_512(0, 0); |
|
|
|
MATMUL_512(0, 1); |
|
|
|
} |
|
|
|
STORE_REDUCE(0, 0); |
|
|
|
STORE_REDUCE(0, 1); |
|
|
|
|
|
|
|
} |
|
|
|
for (; j < N; j += 1) { |
|
|
|
DECLARE_RESULT_512(0, 0); |
|
|
|
for (k = 0; k < k8; k += 8) { |
|
|
|
LOAD_KA_512(0, x); |
|
|
|
LOAD_KB_512(x, 0); |
|
|
|
|
|
|
|
MATMUL_512(0, 0); |
|
|
|
} |
|
|
|
int remains = K - k; |
|
|
|
if (remains) { |
|
|
|
mask = (1UL << remains) - 1; |
|
|
|
MASK_LOAD_KA_512(0, x); |
|
|
|
MASK_LOAD_KB_512(x, 0); |
|
|
|
|
|
|
|
MATMUL_512(0, 0); |
|
|
|
} |
|
|
|
STORE_REDUCE(0, 0); |
|
|
|
} |
|
|
|
} |
|
|
|
return 0; |
|
|
|
} |