d23419accc
This patch introduces new optimized version of SHGEMM kernel using power10 Matrix-Multiply Assist (MMA) feature introduced in POWER ISA v3.1. This patch makes use of new POWER10 compute instructions for matrix multiplication operation. Tested on simulator and there are no new test failures.
1045 lines
29 KiB
C
1045 lines
29 KiB
C
/*********************************************************************************
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Copyright (c) 2020, 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 "common.h"
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#include <altivec.h>
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#if defined(HALF) && defined(HALFCONVERSION)
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static float
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bfloat16tof32 (bfloat16 f16)
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{
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float result = 0;
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unsigned short *q = (unsigned short *) (&result);
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#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
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q[0] = f16;
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#else
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q[1] = f16;
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#endif
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return result;
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}
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#define BF16TOF32(x) (bfloat16tof32(x))
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#else
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#define BF16TOF32(x) x
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#endif
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typedef unsigned char vec_t __attribute__ ((vector_size (16)));
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typedef FLOAT v4sf_t __attribute__ ((vector_size (16)));
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typedef FLOAT v2sf_t __attribute__ ((vector_size (8)));
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vector char mask =
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{ 0x0, 0x1, 0x8, 0x9, 0x2, 0x3, 0xa, 0xb, 0x4, 0x5, 0xc, 0xd, 0x6, 0x7, 0xe,
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0xf
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};
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/*
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* BFLOAT16 xvbf16ger2pp instruction needs 4×2 matrix of
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* bfloat16 floating-point values as input. Hence this
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* merging is needed on A and B matrices.
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*/
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#define MERGE_ROW(x) vec_perm(x, x, mask)
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#define MERGE_HIGH(x, y) (vec_t) vec_mergeh ((vector short)x, (vector short)y)
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#define MERGE_LOW(x, y) (vec_t) vec_mergel ((vector short)x, (vector short)y)
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#define SAVE_ACC(ACC, J) \
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__builtin_mma_disassemble_acc (result, ACC); \
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rowC = (v4sf_t *) &CO[0* ldc+J]; \
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rowC[0] += result[3] * alpha; \
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rowC = (v4sf_t *) &CO[1*ldc+J]; \
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rowC[0] += result[2] * alpha; \
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rowC = (v4sf_t *) &CO[2*ldc+J]; \
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rowC[0] += result[1] * alpha; \
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rowC = (v4sf_t *) &CO[3*ldc+J]; \
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rowC[0] += result[0] * alpha;
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#define SAVE_ACC1(ACC, J) \
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__builtin_mma_disassemble_acc (result, ACC); \
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rowC = (v4sf_t *) &CO[4* ldc+J]; \
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rowC[0] += result[3] * alpha; \
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rowC = (v4sf_t *) &CO[5*ldc+J]; \
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rowC[0] += result[2] * alpha; \
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rowC = (v4sf_t *) &CO[6*ldc+J]; \
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rowC[0] += result[1] * alpha; \
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rowC = (v4sf_t *) &CO[7*ldc+J]; \
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rowC[0] += result[0] * alpha;
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#define SAVE4x2_ACC(ACC, J) \
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__builtin_mma_disassemble_acc (result, ACC); \
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rowC = (v2sf_t *) &CO[0* ldc+J]; \
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rowC[0] += result[6] * alpha; \
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rowC = (v2sf_t *) &CO[1* ldc+J]; \
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rowC[0] += result[4] * alpha; \
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rowC = (v2sf_t *) &CO[2* ldc+J]; \
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rowC[0] += result[2] * alpha; \
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rowC = (v2sf_t *) &CO[3* ldc+J]; \
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rowC[0] += result[0] * alpha;
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#define SAVE4x2_ACC1(ACC, J) \
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__builtin_mma_disassemble_acc (result, ACC); \
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rowC = (v2sf_t *) &CO[4* ldc+J]; \
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rowC[0] += result[6] * alpha; \
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rowC = (v2sf_t *) &CO[5* ldc+J]; \
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rowC[0] += result[4] * alpha; \
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rowC = (v2sf_t *) &CO[6* ldc+J]; \
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rowC[0] += result[2] * alpha; \
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rowC = (v2sf_t *) &CO[7* ldc+J]; \
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rowC[0] += result[0] * alpha;
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#define MMA __builtin_mma_xvbf16ger2pp
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#define SAVE2x4_ACC(ACC, J) \
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__builtin_mma_disassemble_acc (result, ACC); \
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rowC = (v4sf_t *) &CO[0* ldc+J]; \
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rowC[0] += result[3] * alpha; \
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rowC = (v4sf_t *) &CO[1* ldc+J]; \
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rowC[0] += result[2] * alpha;
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#define SET_ACC_ZERO4() \
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__builtin_mma_xxsetaccz (&acc0); \
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__builtin_mma_xxsetaccz (&acc1); \
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__builtin_mma_xxsetaccz (&acc2); \
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__builtin_mma_xxsetaccz (&acc3);
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#define SET_ACC_ZERO8() \
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__builtin_mma_xxsetaccz (&acc0); \
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__builtin_mma_xxsetaccz (&acc1); \
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__builtin_mma_xxsetaccz (&acc2); \
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__builtin_mma_xxsetaccz (&acc3); \
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__builtin_mma_xxsetaccz (&acc4); \
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__builtin_mma_xxsetaccz (&acc5); \
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__builtin_mma_xxsetaccz (&acc6); \
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__builtin_mma_xxsetaccz (&acc7);
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#define PREFETCH1(x, y) asm volatile ("dcbt %0, %1" : : "r" (x), "b" (y) : "memory");
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/*************************************************************************************
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* SHGEMM Kernel
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*************************************************************************************/
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int
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CNAME (BLASLONG m, BLASLONG n, BLASLONG k, FLOAT alpha, IFLOAT * A,
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IFLOAT * B, FLOAT * C, BLASLONG ldc)
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{
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BLASLONG N = n;
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BLASLONG i1;
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v4sf_t valpha = { alpha, alpha, alpha, alpha };
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vector short vzero = { 0, 0, 0, 0, 0, 0, 0, 0 };
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N = n >> 3;
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/* Loop for n >= 8. */
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for (i1 = 0; i1 < N; i1++)
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{
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BLASLONG i, j;
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FLOAT *CO;
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IFLOAT *AO;
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CO = C;
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C += ldc << 3;
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AO = A;
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PREFETCH1 (A, 128);
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PREFETCH1 (A, 256);
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i = m >> 4;
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/* Loop for m >= 16. */
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for (j = 0; j < i; j++)
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{
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IFLOAT *BO = B;
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v4sf_t *rowC;
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v4sf_t result[4];
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__vector_quad acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;
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SET_ACC_ZERO8 ();
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BLASLONG l = 0;
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for (l = 0; l < k / 2; l++)
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{
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vec_t *rowA = (vec_t *) & (AO[l << 5]);
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vec_t *rowB = (vec_t *) & (BO[l << 4]);
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vec_t rowB_h = MERGE_HIGH (rowB[0], rowB[1]);
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vec_t rowB_l = MERGE_LOW (rowB[0], rowB[1]);
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vec_t rowA_h = MERGE_HIGH (rowA[0], rowA[2]);
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vec_t rowA_l = MERGE_LOW (rowA[0], rowA[2]);
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vec_t rowA2_h = MERGE_HIGH (rowA[1], rowA[3]);
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vec_t rowA2_l = MERGE_LOW (rowA[1], rowA[3]);
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MMA (&acc0, rowB_h, rowA_h);
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MMA (&acc1, rowB_l, rowA_h);
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MMA (&acc2, rowB_h, rowA_l);
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MMA (&acc3, rowB_l, rowA_l);
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MMA (&acc4, rowB_h, rowA2_h);
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MMA (&acc5, rowB_l, rowA2_h);
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MMA (&acc6, rowB_h, rowA2_l);
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MMA (&acc7, rowB_l, rowA2_l);
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}
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if (k % 2 == 1)
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{
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if (k > 1)
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l = (k / 2) << 4;
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vec_t *rowA = (vec_t *) & (AO[l << 1]);
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vec_t *rowB = (vec_t *) & (BO[l]);
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vec_t rowB_h = MERGE_HIGH (rowB[0], rowB[1]);
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vec_t rowB_l = MERGE_LOW (rowB[0], rowB[1]);
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vec_t rowA_h = MERGE_HIGH (rowA[0], vzero);
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vec_t rowA_l = MERGE_LOW (rowA[0], vzero);
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vec_t rowA2_h = MERGE_HIGH (rowA[1], vzero);
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vec_t rowA2_l = MERGE_LOW (rowA[1], vzero);
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MMA (&acc0, rowB_h, rowA_h);
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MMA (&acc1, rowB_l, rowA_h);
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MMA (&acc2, rowB_h, rowA_l);
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MMA (&acc3, rowB_l, rowA_l);
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MMA (&acc4, rowB_h, rowA2_h);
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MMA (&acc5, rowB_l, rowA2_h);
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MMA (&acc6, rowB_h, rowA2_l);
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MMA (&acc7, rowB_l, rowA2_l);
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}
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SAVE_ACC (&acc0, 0);
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SAVE_ACC (&acc2, 4);
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SAVE_ACC1 (&acc1, 0);
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SAVE_ACC1 (&acc3, 4);
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SAVE_ACC (&acc4, 8);
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SAVE_ACC (&acc6, 12);
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SAVE_ACC1 (&acc5, 8);
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SAVE_ACC1 (&acc7, 12);
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CO += 16;
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AO += (k << 4);
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BO += (k << 3);
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}
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i = (m & 15) >> 3;
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/* Loop for m >= 8. */
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for (j = 0; j < i; j++)
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{
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IFLOAT *BO = B;
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v4sf_t *rowC;
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v4sf_t result[4];
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__vector_quad acc0, acc1, acc2, acc3;
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SET_ACC_ZERO4 ();
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BLASLONG l = 0;
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for (l = 0; l < k / 2; l++)
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{
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vec_t *rowA = (vec_t *) & (AO[l << 4]);
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vec_t *rowB = (vec_t *) & (BO[l << 4]);
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vec_t rowB_h = MERGE_HIGH (rowB[0], rowB[1]);
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vec_t rowB_l = MERGE_LOW (rowB[0], rowB[1]);
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vec_t rowA_h = MERGE_HIGH (rowA[0], rowA[1]);
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vec_t rowA_l = MERGE_LOW (rowA[0], rowA[1]);
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MMA (&acc0, rowB_h, rowA_h);
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MMA (&acc1, rowB_l, rowA_h);
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MMA (&acc2, rowB_h, rowA_l);
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MMA (&acc3, rowB_l, rowA_l);
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}
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if (k % 2 == 1)
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{
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if (k > 1)
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l = (k / 2) << 4;
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vec_t *rowA = (vec_t *) & (AO[l]);
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vec_t *rowB = (vec_t *) & (BO[l]);
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vec_t rowB_h = MERGE_HIGH (rowB[0], rowB[1]);
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vec_t rowB_l = MERGE_LOW (rowB[0], rowB[1]);
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vec_t rowA_h = MERGE_HIGH (rowA[0], vzero);
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vec_t rowA_l = MERGE_LOW (rowA[0], vzero);
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MMA (&acc0, rowB_h, rowA_h);
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MMA (&acc1, rowB_l, rowA_h);
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MMA (&acc2, rowB_h, rowA_l);
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MMA (&acc3, rowB_l, rowA_l);
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}
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SAVE_ACC (&acc0, 0);
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SAVE_ACC (&acc2, 4);
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SAVE_ACC1 (&acc1, 0);
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SAVE_ACC1 (&acc3, 4);
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CO += 8;
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AO += (k << 3);
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BO += (k << 3);
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}
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i = (m & 7) >> 2;
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/* Loop for m >= 4. */
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for (j = 0; j < i; j++)
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{
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IFLOAT *BO = B;
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v4sf_t *rowC;
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v4sf_t result[4];
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__vector_quad acc0, acc1;
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__builtin_mma_xxsetaccz (&acc0);
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__builtin_mma_xxsetaccz (&acc1);
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BLASLONG l = 0;
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for (l = 0; l < k / 2; l++)
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{
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vec_t *rowA = (vec_t *) & (AO[l << 3]);
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vec_t *rowB = (vec_t *) & (BO[l << 4]);
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vec_t rowA_mrg = MERGE_ROW (rowA[0]);
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MMA (&acc0, MERGE_HIGH (rowB[0], rowB[1]), rowA_mrg);
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MMA (&acc1, MERGE_LOW (rowB[0], rowB[1]), rowA_mrg);
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}
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if (k % 2 == 1)
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{
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if (k > 1)
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l = (k / 2) << 3;
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vector short rowA =
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{ AO[l + 0], 0, AO[l + 1], 0, AO[l + 2], 0, AO[l + 3], 0 };
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vec_t *rowB = (vec_t *) & (BO[l << 1]);
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MMA (&acc0, MERGE_HIGH (rowB[0], rowB[1]), (vec_t) rowA);
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MMA (&acc1, MERGE_LOW (rowB[0], rowB[1]), (vec_t) rowA);
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}
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SAVE_ACC (&acc0, 0);
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SAVE_ACC1 (&acc1, 0);
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CO += 4;
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AO += (k << 2);
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BO += (k << 3);
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}
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i = (m & 3) >> 1;
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/* Loop for m >= 2. */
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for (j = 0; j < i; j++)
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{
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IFLOAT *BO = B;
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v2sf_t *rowC;
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v2sf_t result[8];
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__vector_quad acc0, acc1;
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__builtin_mma_xxsetaccz (&acc0);
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__builtin_mma_xxsetaccz (&acc1);
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BLASLONG l = 0;
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for (l = 0; l < k / 2; l++)
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{
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vector short rowA =
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{ AO[(l << 2) + 0], AO[(l << 2) + 2], AO[(l << 2) + 1],
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AO[(l << 2) + 3],
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0, 0, 0, 0
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};
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vec_t *rowB = (vec_t *) & (BO[l << 4]);
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MMA (&acc0, MERGE_HIGH (rowB[0], rowB[1]), (vec_t) rowA);
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MMA (&acc1, MERGE_LOW (rowB[0], rowB[1]), (vec_t) rowA);
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}
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if (k % 2 == 1)
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{
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if (k > 1)
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l = (k / 2) << 2;
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vector short rowA = { AO[l + 0], 0, AO[l + 1], 0, 0, 0, 0, 0 };
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vec_t *rowB = (vec_t *) & (BO[(l << 2)]);
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MMA (&acc0, MERGE_HIGH (rowB[0], rowB[1]), (vec_t) rowA);
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MMA (&acc1, MERGE_LOW (rowB[0], rowB[1]), (vec_t) rowA);
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}
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SAVE4x2_ACC (&acc0, 0);
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SAVE4x2_ACC1 (&acc1, 0);
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CO += 2;
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AO += (k << 1);
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BO += (k << 3);
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}
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i = (m & 1) >> 0;
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/* Loop for m = 1. */
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for (j = 0; j < i; j++)
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{
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IFLOAT *BO = B;
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BLASLONG l = 0;
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v4sf_t t = { 0, 0, 0, 0 }
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, t1 =
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{
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0, 0, 0, 0};
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for (l = 0; l < k; l++)
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{
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v4sf_t rowA =
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{ BF16TOF32 (AO[l]), BF16TOF32 (AO[l]), BF16TOF32 (AO[l]),
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BF16TOF32 (AO[l])
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};
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v4sf_t rowB =
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{ BF16TOF32 (BO[l << 3]), BF16TOF32 (BO[(l << 3) + 1]),
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BF16TOF32 (BO[(l << 3) + 2]),
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BF16TOF32 (BO[(l << 3) + 3])
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};
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v4sf_t rowB1 =
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{ BF16TOF32 (BO[(l << 3) + 4]), BF16TOF32 (BO[(l << 3) + 5]),
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BF16TOF32 (BO[(l << 3) + 6]),
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BF16TOF32 (BO[(l << 3) + 7])
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};
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t += rowA * rowB;
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t1 += rowA * rowB1;
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}
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t = t * valpha;
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t1 = t1 * valpha;
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CO[0 * ldc] += t[0];
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CO[1 * ldc] += t[1];
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CO[2 * ldc] += t[2];
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CO[3 * ldc] += t[3];
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CO[4 * ldc] += t1[0];
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CO[5 * ldc] += t1[1];
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CO[6 * ldc] += t1[2];
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CO[7 * ldc] += t1[3];
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CO += 1;
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AO += k;
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BO += (k << 3);
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}
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B += k << 3;
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}
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N = (n & 7) >> 2;
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/* Loop for n >= 4. */
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for (i1 = 0; i1 < N; i1++)
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{
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BLASLONG i, j;
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FLOAT *CO;
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IFLOAT *AO;
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CO = C;
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C += ldc << 2;
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AO = A;
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i = m >> 5;
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/* Loop for m >= 32. */
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for (j = 0; j < i; j++)
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{
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IFLOAT *BO = B;
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IFLOAT *A1 = AO + (16 * k);
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v4sf_t *rowC;
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v4sf_t result[4];
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__vector_quad acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;
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SET_ACC_ZERO8 ();
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BLASLONG l = 0;
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for (l = 0; l < k / 2; l++)
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{
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vec_t *rowA = (vec_t *) & (AO[l << 5]);
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vec_t *rowA1 = (vec_t *) & (A1[l << 5]);
|
||
vec_t *rowB = (vec_t *) & (BO[l << 3]);
|
||
vec_t rowB_mrg = MERGE_ROW (rowB[0]);
|
||
MMA (&acc0, rowB_mrg, MERGE_HIGH (rowA[0], rowA[2]));
|
||
MMA (&acc1, rowB_mrg, MERGE_LOW (rowA[0], rowA[2]));
|
||
MMA (&acc2, rowB_mrg, MERGE_HIGH (rowA[1], rowA[3]));
|
||
MMA (&acc3, rowB_mrg, MERGE_LOW (rowA[1], rowA[3]));
|
||
MMA (&acc4, rowB_mrg, MERGE_HIGH (rowA1[0], rowA1[2]));
|
||
MMA (&acc5, rowB_mrg, MERGE_LOW (rowA1[0], rowA1[2]));
|
||
MMA (&acc6, rowB_mrg, MERGE_HIGH (rowA1[1], rowA1[3]));
|
||
MMA (&acc7, rowB_mrg, MERGE_LOW (rowA1[1], rowA1[3]));
|
||
}
|
||
if (k % 2 == 1)
|
||
{
|
||
if (k > 1)
|
||
l = (k / 2) << 3;
|
||
vec_t *rowA = (vec_t *) & (AO[(l << 2)]);
|
||
vec_t *rowA1 = (vec_t *) & (A1[(l << 2)]);
|
||
vec_t *rowB = (vec_t *) & (BO[l]);
|
||
vec_t rowB_mrg = MERGE_ROW (rowB[0]);
|
||
MMA (&acc0, rowB_mrg, MERGE_HIGH (rowA[0], vzero));
|
||
MMA (&acc1, rowB_mrg, MERGE_LOW (rowA[0], vzero));
|
||
MMA (&acc2, rowB_mrg, MERGE_HIGH (rowA[1], vzero));
|
||
MMA (&acc3, rowB_mrg, MERGE_LOW (rowA[1], vzero));
|
||
MMA (&acc4, rowB_mrg, MERGE_HIGH (rowA1[0], vzero));
|
||
MMA (&acc5, rowB_mrg, MERGE_LOW (rowA1[0], vzero));
|
||
MMA (&acc6, rowB_mrg, MERGE_HIGH (rowA1[1], vzero));
|
||
MMA (&acc7, rowB_mrg, MERGE_LOW (rowA1[1], vzero));
|
||
}
|
||
|
||
SAVE_ACC (&acc0, 0);
|
||
SAVE_ACC (&acc1, 4);
|
||
CO += 8;
|
||
SAVE_ACC (&acc2, 0);
|
||
SAVE_ACC (&acc3, 4);
|
||
CO += 8;
|
||
SAVE_ACC (&acc4, 0);
|
||
SAVE_ACC (&acc5, 4);
|
||
CO += 8;
|
||
SAVE_ACC (&acc6, 0);
|
||
SAVE_ACC (&acc7, 4);
|
||
CO += 8;
|
||
AO += k << 5;
|
||
BO += k << 2;
|
||
}
|
||
i = (m & 31) >> 4;
|
||
/* Loop for m >= 16. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
v4sf_t *rowC;
|
||
v4sf_t result[4];
|
||
__vector_quad acc0, acc1, acc2, acc3;
|
||
SET_ACC_ZERO4 ();
|
||
BLASLONG l = 0;
|
||
for (l = 0; l < k / 2; l++)
|
||
{
|
||
vec_t *rowA = (vec_t *) & (AO[l << 5]);
|
||
vec_t *rowB = (vec_t *) & (BO[l << 3]);
|
||
vec_t rowB_mrg = MERGE_ROW (rowB[0]);
|
||
MMA (&acc0, rowB_mrg, MERGE_HIGH (rowA[0], rowA[2]));
|
||
MMA (&acc1, rowB_mrg, MERGE_LOW (rowA[0], rowA[2]));
|
||
MMA (&acc2, rowB_mrg, MERGE_HIGH (rowA[1], rowA[3]));
|
||
MMA (&acc3, rowB_mrg, MERGE_LOW (rowA[1], rowA[3]));
|
||
}
|
||
if (k % 2 == 1)
|
||
{
|
||
if (k > 1)
|
||
l = (k / 2) << 3;
|
||
vec_t *rowA = (vec_t *) & (AO[(l << 2)]);
|
||
vec_t *rowB = (vec_t *) & (BO[l]);
|
||
vec_t rowB_mrg = MERGE_ROW (rowB[0]);
|
||
MMA (&acc0, rowB_mrg, MERGE_HIGH (rowA[0], vzero));
|
||
MMA (&acc1, rowB_mrg, MERGE_LOW (rowA[0], vzero));
|
||
MMA (&acc2, rowB_mrg, MERGE_HIGH (rowA[1], vzero));
|
||
MMA (&acc3, rowB_mrg, MERGE_LOW (rowA[1], vzero));
|
||
}
|
||
|
||
SAVE_ACC (&acc0, 0);
|
||
SAVE_ACC (&acc1, 4);
|
||
CO += 8;
|
||
SAVE_ACC (&acc2, 0);
|
||
SAVE_ACC (&acc3, 4);
|
||
CO += 8;
|
||
AO += k << 4;
|
||
BO += k << 2;
|
||
}
|
||
i = (m & 15) >> 3;
|
||
/* Loop for m >= 8. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
v4sf_t *rowC;
|
||
v4sf_t result[4];
|
||
__vector_quad acc0, acc1;
|
||
__builtin_mma_xxsetaccz (&acc0);
|
||
__builtin_mma_xxsetaccz (&acc1);
|
||
BLASLONG l = 0;
|
||
for (l = 0; l < k / 2; l++)
|
||
{
|
||
vec_t *rowA = (vec_t *) & (AO[l << 4]);
|
||
vec_t *rowB = (vec_t *) & (BO[l << 3]);
|
||
vec_t rowB_mrg = MERGE_ROW (rowB[0]);
|
||
MMA (&acc0, rowB_mrg, MERGE_HIGH (rowA[0], rowA[1]));
|
||
MMA (&acc1, rowB_mrg, MERGE_LOW (rowA[0], rowA[1]));
|
||
}
|
||
if (k % 2 == 1)
|
||
{
|
||
if (k > 1)
|
||
l = (k / 2) << 3;
|
||
vec_t *rowA = (vec_t *) & (AO[l << 1]);
|
||
vec_t *rowB = (vec_t *) & (BO[l]);
|
||
vec_t rowB_mrg = MERGE_ROW (rowB[0]);
|
||
MMA (&acc0, rowB_mrg, MERGE_HIGH (rowA[0], vzero));
|
||
MMA (&acc1, rowB_mrg, MERGE_LOW (rowA[0], vzero));
|
||
}
|
||
SAVE_ACC (&acc0, 0);
|
||
SAVE_ACC (&acc1, 4);
|
||
CO += 8;
|
||
AO += k << 3;
|
||
BO += k << 2;
|
||
}
|
||
i = (m & 7) >> 2;
|
||
/* Loop for m >= 4. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
v4sf_t *rowC;
|
||
__vector_quad acc0;
|
||
v4sf_t result[4];
|
||
BLASLONG l = 0;
|
||
__builtin_mma_xxsetaccz (&acc0);
|
||
for (l = 0; l < k / 2; l++)
|
||
{
|
||
vec_t *rowA = (vec_t *) & (AO[l << 3]);
|
||
vec_t *rowB = (vec_t *) & (BO[l << 3]);
|
||
MMA (&acc0, MERGE_ROW (rowB[0]), MERGE_ROW (rowA[0]));
|
||
}
|
||
if (k % 2 == 1)
|
||
{
|
||
if (k > 1)
|
||
l = (k / 2) << 3;
|
||
vector short rowA =
|
||
{ AO[l], 0, AO[l + 1], 0, AO[l + 2], 0, AO[l + 3], 0 };
|
||
vec_t *rowB = (vec_t *) & (BO[l]);
|
||
MMA (&acc0, MERGE_ROW (rowB[0]), (vec_t) rowA);
|
||
}
|
||
SAVE_ACC (&acc0, 0);
|
||
CO += 4;
|
||
AO += k << 2;
|
||
BO += k << 2;
|
||
}
|
||
i = (m & 3) >> 1;
|
||
/* Loop for m >= 2. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
v2sf_t *rowC;
|
||
v2sf_t result[8];
|
||
__vector_quad acc0;
|
||
BLASLONG l = 0;
|
||
__builtin_mma_xxsetaccz (&acc0);
|
||
for (l = 0; l < k / 2; l++)
|
||
{
|
||
vector short rowA =
|
||
{ AO[(l << 2) + 0], AO[(l << 2) + 2], AO[(l << 2) + 1],
|
||
AO[(l << 2) + 3],
|
||
0, 0, 0, 0
|
||
};
|
||
vec_t *rowB = (vec_t *) & (BO[l << 3]);
|
||
MMA (&acc0, MERGE_ROW (rowB[0]), (vec_t) rowA);
|
||
}
|
||
if (k % 2 == 1)
|
||
{
|
||
if (k > 1)
|
||
l = (k / 2) << 2;
|
||
vector short rowA = { AO[l], 0, AO[l + 1], 0, 0, 0, 0, 0 };
|
||
vec_t *rowB = (vec_t *) & (BO[l << 1]);
|
||
MMA (&acc0, MERGE_ROW (rowB[0]), (vec_t) rowA);
|
||
}
|
||
SAVE4x2_ACC (&acc0, 0);
|
||
CO += 2;
|
||
AO += k << 1;
|
||
BO += k << 2;
|
||
}
|
||
i = (m & 1) >> 0;
|
||
/* Loop for m = 1. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
BLASLONG l = 0;
|
||
v4sf_t t = { 0, 0, 0, 0 };
|
||
for (l = 0; l < k; l++)
|
||
{
|
||
v4sf_t rowA =
|
||
{ BF16TOF32 (AO[l]), BF16TOF32 (AO[l]), BF16TOF32 (AO[l]),
|
||
BF16TOF32 (AO[l])
|
||
};
|
||
v4sf_t rowB =
|
||
{ BF16TOF32 (BO[l << 2]), BF16TOF32 (BO[(l << 2) + 1]),
|
||
BF16TOF32 (BO[(l << 2) + 2]),
|
||
BF16TOF32 (BO[(l << 2) + 3])
|
||
};
|
||
t += rowA * rowB;
|
||
}
|
||
t = t * valpha;
|
||
CO[0 * ldc] += t[0];
|
||
CO[1 * ldc] += t[1];
|
||
CO[2 * ldc] += t[2];
|
||
CO[3 * ldc] += t[3];
|
||
AO += k;
|
||
BO += (k << 2);
|
||
CO += 1;
|
||
}
|
||
|
||
B += k << 2;
|
||
}
|
||
N = (n & 3) >> 1;
|
||
/* Loop for n >= 2. */
|
||
for (i1 = 0; i1 < N; i1++)
|
||
{
|
||
BLASLONG i, j;
|
||
FLOAT *CO;
|
||
IFLOAT *AO;
|
||
CO = C;
|
||
C += ldc << 1;
|
||
AO = A;
|
||
i = m >> 5;
|
||
/* Loop for m >= 32. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
v4sf_t *rowC;
|
||
v4sf_t result[4];
|
||
IFLOAT *A1 = AO + (16 * k);
|
||
__vector_quad acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;
|
||
SET_ACC_ZERO8 ();
|
||
BLASLONG l = 0;
|
||
for (l = 0; l < k / 2; l++)
|
||
{
|
||
vector short rowB =
|
||
{ BO[(l << 2) + 0], BO[(l << 2) + 2], BO[(l << 2) + 1],
|
||
BO[(l << 2) + 3],
|
||
0, 0, 0, 0
|
||
};
|
||
vec_t *rowA = (vec_t *) & (AO[l << 5]);
|
||
vec_t *rowA1 = (vec_t *) & (A1[l << 5]);
|
||
MMA (&acc0, (vec_t) rowB, MERGE_HIGH (rowA[0], rowA[2]));
|
||
MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], rowA[2]));
|
||
MMA (&acc2, (vec_t) rowB, MERGE_HIGH (rowA[1], rowA[3]));
|
||
MMA (&acc3, (vec_t) rowB, MERGE_LOW (rowA[1], rowA[3]));
|
||
MMA (&acc4, (vec_t) rowB, MERGE_HIGH (rowA1[0], rowA1[2]));
|
||
MMA (&acc5, (vec_t) rowB, MERGE_LOW (rowA1[0], rowA1[2]));
|
||
MMA (&acc6, (vec_t) rowB, MERGE_HIGH (rowA1[1], rowA1[3]));
|
||
MMA (&acc7, (vec_t) rowB, MERGE_LOW (rowA1[1], rowA1[3]));
|
||
}
|
||
if (k % 2 == 1)
|
||
{
|
||
if (k > 1)
|
||
l = (k / 2) << 2;
|
||
vector short rowB = { BO[l + 0], 0, BO[l + 1], 0, 0, 0, 0, 0 };
|
||
vec_t *rowA = (vec_t *) & (AO[l << 3]);
|
||
vec_t *rowA1 = (vec_t *) & (A1[l << 3]);
|
||
MMA (&acc0, (vec_t) rowB, MERGE_HIGH (rowA[0], rowA[2]));
|
||
MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], rowA[2]));
|
||
MMA (&acc2, (vec_t) rowB, MERGE_HIGH (rowA[1], rowA[3]));
|
||
MMA (&acc3, (vec_t) rowB, MERGE_LOW (rowA[1], rowA[3]));
|
||
MMA (&acc4, (vec_t) rowB, MERGE_HIGH (rowA1[0], rowA1[2]));
|
||
MMA (&acc5, (vec_t) rowB, MERGE_LOW (rowA1[0], rowA1[2]));
|
||
MMA (&acc6, (vec_t) rowB, MERGE_HIGH (rowA1[1], rowA1[3]));
|
||
MMA (&acc7, (vec_t) rowB, MERGE_LOW (rowA1[1], rowA1[3]));
|
||
}
|
||
SAVE2x4_ACC (&acc0, 0);
|
||
SAVE2x4_ACC (&acc1, 4);
|
||
SAVE2x4_ACC (&acc2, 8);
|
||
SAVE2x4_ACC (&acc3, 12);
|
||
CO += 16;
|
||
SAVE2x4_ACC (&acc4, 0);
|
||
SAVE2x4_ACC (&acc5, 4);
|
||
SAVE2x4_ACC (&acc6, 8);
|
||
SAVE2x4_ACC (&acc7, 12);
|
||
CO += 16;
|
||
AO += k << 5;
|
||
BO += k << 1;
|
||
}
|
||
i = (m & 31) >> 4;
|
||
/* Loop for m >= 16. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
v4sf_t *rowC;
|
||
v4sf_t result[4];
|
||
__vector_quad acc0, acc1, acc2, acc3;
|
||
SET_ACC_ZERO4 ();
|
||
BLASLONG l = 0;
|
||
for (l = 0; l < k / 2; l++)
|
||
{
|
||
vector short rowB =
|
||
{ BO[(l << 2) + 0], BO[(l << 2) + 2], BO[(l << 2) + 1],
|
||
BO[(l << 2) + 3],
|
||
0, 0, 0, 0
|
||
};
|
||
vec_t *rowA = (vec_t *) & (AO[l << 5]);
|
||
MMA (&acc0, (vec_t) rowB, MERGE_HIGH (rowA[0], rowA[2]));
|
||
MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], rowA[2]));
|
||
MMA (&acc2, (vec_t) rowB, MERGE_HIGH (rowA[1], rowA[3]));
|
||
MMA (&acc3, (vec_t) rowB, MERGE_LOW (rowA[1], rowA[3]));
|
||
}
|
||
if (k % 2 == 1)
|
||
{
|
||
if (k > 1)
|
||
l = (k / 2) << 2;
|
||
vector short rowB = { BO[l + 0], 0, BO[l + 1], 0, 0, 0, 0, 0 };
|
||
vec_t *rowA = (vec_t *) & (AO[l << 3]);
|
||
MMA (&acc0, (vec_t) rowB, MERGE_HIGH (rowA[0], rowA[2]));
|
||
MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], rowA[2]));
|
||
MMA (&acc2, (vec_t) rowB, MERGE_HIGH (rowA[1], rowA[3]));
|
||
MMA (&acc3, (vec_t) rowB, MERGE_LOW (rowA[1], rowA[3]));
|
||
}
|
||
SAVE2x4_ACC (&acc0, 0);
|
||
SAVE2x4_ACC (&acc1, 4);
|
||
SAVE2x4_ACC (&acc2, 8);
|
||
SAVE2x4_ACC (&acc3, 12);
|
||
CO += 16;
|
||
AO += k << 4;
|
||
BO += k << 1;
|
||
}
|
||
i = (m & 15) >> 3;
|
||
/* Loop for m >= 8. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
v4sf_t *rowC;
|
||
v4sf_t result[4];
|
||
__vector_quad acc0, acc1;
|
||
__builtin_mma_xxsetaccz (&acc0);
|
||
__builtin_mma_xxsetaccz (&acc1);
|
||
BLASLONG l = 0;
|
||
for (l = 0; l < k / 2; l++)
|
||
{
|
||
vector short rowB =
|
||
{ BO[(l << 2) + 0], BO[(l << 2) + 2], BO[(l << 2) + 1],
|
||
BO[(l << 2) + 3],
|
||
0, 0, 0, 0
|
||
};
|
||
vec_t *rowA = (vec_t *) & (AO[l << 4]);
|
||
MMA (&acc0, (vec_t) rowB, MERGE_HIGH (rowA[0], rowA[1]));
|
||
MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], rowA[1]));
|
||
}
|
||
if (k % 2 == 1)
|
||
{
|
||
if (k > 1)
|
||
l = (k / 2) << 2;
|
||
vector short rowB = { BO[l + 0], 0, BO[l + 1], 0, 0, 0, 0, 0 };
|
||
vec_t *rowA = (vec_t *) & (AO[(l << 2)]);
|
||
MMA (&acc0, (vec_t) rowB, MERGE_HIGH (rowA[0], rowA[1]));
|
||
MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], rowA[1]));
|
||
}
|
||
SAVE2x4_ACC (&acc0, 0);
|
||
SAVE2x4_ACC (&acc1, 4);
|
||
CO += 8;
|
||
AO += k << 3;
|
||
BO += k << 1;
|
||
}
|
||
i = (m & 7) >> 2;
|
||
/* Loop for m >= 4. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
v4sf_t *rowC;
|
||
v4sf_t result[4];
|
||
__vector_quad acc0;
|
||
__builtin_mma_xxsetaccz (&acc0);
|
||
BLASLONG l = 0;
|
||
for (l = 0; l < k / 2; l++)
|
||
{
|
||
vector short rowB =
|
||
{ BO[(l << 2) + 0], BO[(l << 2) + 2], BO[(l << 2) + 1],
|
||
BO[(l << 2) + 3],
|
||
0, 0, 0, 0
|
||
};
|
||
vec_t *rowA = (vec_t *) & (AO[l << 3]);
|
||
MMA (&acc0, (vec_t) rowB, MERGE_ROW (rowA[0]));
|
||
}
|
||
if (k % 2 == 1)
|
||
{
|
||
if (k > 1)
|
||
l = (k / 2) << 2;
|
||
vector short rowB = { BO[l + 0], 0, BO[l + 1], 0, 0, 0, 0, 0 };
|
||
vec_t *rowA = (vec_t *) & (AO[l << 1]);
|
||
MMA (&acc0, (vec_t) rowB, MERGE_ROW (rowA[0]));
|
||
}
|
||
SAVE2x4_ACC (&acc0, 0);
|
||
CO += 4;
|
||
AO += k << 2;
|
||
BO += k << 1;
|
||
}
|
||
i = (m & 3) >> 1;
|
||
/* Loop for m >= 2. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
BLASLONG l = 0;
|
||
v4sf_t t = { 0, 0, 0, 0 };
|
||
for (l = 0; l < (k << 1); l += 2)
|
||
{
|
||
v4sf_t rowA =
|
||
{ BF16TOF32 (AO[l]), BF16TOF32 (AO[l]), BF16TOF32 (AO[l + 1]),
|
||
BF16TOF32 (AO[l + 1])
|
||
};
|
||
v4sf_t rowB =
|
||
{ BF16TOF32 (BO[l]), BF16TOF32 (BO[l + 1]), BF16TOF32 (BO[l]),
|
||
BF16TOF32 (BO[l + 1])
|
||
};
|
||
t += rowA * rowB;
|
||
}
|
||
t = t * valpha;
|
||
CO[0 * ldc] += t[0];
|
||
CO[1 * ldc] += t[1];
|
||
CO[0 * ldc + 1] += t[2];
|
||
CO[1 * ldc + 1] += t[3];
|
||
CO += 2;
|
||
AO += k << 1;
|
||
BO += k << 1;
|
||
}
|
||
i = (m & 1) >> 0;
|
||
/* Loop for m = 1. */
|
||
for (j = 0; j < i; j++)
|
||
{
|
||
IFLOAT *BO = B;
|
||
BLASLONG l = 0;
|
||
v4sf_t t = { 0, 0, 0, 0 };
|
||
for (l = 0; l < k; l++)
|
||
{
|
||
v4sf_t rowA = { BF16TOF32 (AO[l]), BF16TOF32 (AO[l]), 0, 0 };
|
||
v4sf_t rowB =
|
||
{ BF16TOF32 (BO[l << 1]), BF16TOF32 (BO[(l << 1) + 1]), 0,
|
||
0
|
||
};
|
||
t += rowA * rowB;
|
||
}
|
||
CO[0 * ldc] += t[0] * alpha;
|
||
CO[1 * ldc] += t[1] * alpha;
|
||
CO += 1;
|
||
AO += k;
|
||
BO += k << 1;
|
||
}
|
||
B += k << 1;
|
||
}
|
||
N = (n & 1) >> 0;
|
||
/* Loop for n = 1. */
|
||
for (i1 = 0; i1 < N; i1++)
|
||
{
|
||
BLASLONG i;
|
||
FLOAT *CO;
|
||
IFLOAT *AO;
|
||
CO = C;
|
||
C += ldc;
|
||
AO = A;
|
||
i = m;
|
||
/* Loop for m >= 16. */
|
||
while (i >= 16)
|
||
{
|
||
IFLOAT *BO = B;
|
||
BLASLONG l = 0;
|
||
v4sf_t t = { 0, 0, 0, 0 };
|
||
v4sf_t t1 = { 0, 0, 0, 0 };
|
||
v4sf_t t2 = { 0, 0, 0, 0 };
|
||
v4sf_t t3 = { 0, 0, 0, 0 };
|
||
for (l = 0; l < k; l++)
|
||
{
|
||
v4sf_t rowB =
|
||
{ BF16TOF32 (BO[l]), BF16TOF32 (BO[l]), BF16TOF32 (BO[l]),
|
||
BF16TOF32 (BO[l])
|
||
};
|
||
v4sf_t rowA =
|
||
{ BF16TOF32 (AO[l << 4]), BF16TOF32 (AO[(l << 4) + 1]),
|
||
BF16TOF32 (AO[(l << 4) + 2]),
|
||
BF16TOF32 (AO[(l << 4) + 3])
|
||
};
|
||
v4sf_t rowA1 =
|
||
{ BF16TOF32 (AO[(l << 4) + 4]), BF16TOF32 (AO[(l << 4) + 5]),
|
||
BF16TOF32 (AO[(l << 4) + 6]),
|
||
BF16TOF32 (AO[(l << 4) + 7])
|
||
};
|
||
v4sf_t rowA2 =
|
||
{ BF16TOF32 (AO[(l << 4) + 8]), BF16TOF32 (AO[(l << 4) + 9]),
|
||
BF16TOF32 (AO[(l << 4) + 10]),
|
||
BF16TOF32 (AO[(l << 4) + 11])
|
||
};
|
||
v4sf_t rowA3 = { BF16TOF32 (AO[(l << 4) + 12]),
|
||
BF16TOF32 (AO[(l << 4) + 13]), BF16TOF32 (AO[(l << 4) + 14]),
|
||
BF16TOF32 (AO[(l << 4) + 15])
|
||
};
|
||
t += rowA * rowB;
|
||
t1 += rowA1 * rowB;
|
||
t2 += rowA2 * rowB;
|
||
t3 += rowA3 * rowB;
|
||
}
|
||
t = t * valpha;
|
||
t1 = t1 * valpha;
|
||
t2 = t2 * valpha;
|
||
t3 = t3 * valpha;
|
||
CO[0] += t[0];
|
||
CO[1] += t[1];
|
||
CO[2] += t[2];
|
||
CO[3] += t[3];
|
||
CO[4] += t1[0];
|
||
CO[5] += t1[1];
|
||
CO[6] += t1[2];
|
||
CO[7] += t1[3];
|
||
CO[8] += t2[0];
|
||
CO[9] += t2[1];
|
||
CO[10] += t2[2];
|
||
CO[11] += t2[3];
|
||
CO[12] += t3[0];
|
||
CO[13] += t3[1];
|
||
CO[14] += t3[2];
|
||
CO[15] += t3[3];
|
||
AO += k << 4;
|
||
BO += k;
|
||
CO += 16;
|
||
i -= 16;
|
||
}
|
||
/* Loop for m >= 8. */
|
||
while (i >= 8)
|
||
{
|
||
IFLOAT *BO = B;
|
||
BLASLONG l = 0;
|
||
v4sf_t t = { 0, 0, 0, 0 };
|
||
v4sf_t t1 = { 0, 0, 0, 0 };
|
||
for (l = 0; l < k; l++)
|
||
{
|
||
v4sf_t rowB =
|
||
{ BF16TOF32 (BO[l]), BF16TOF32 (BO[l]), BF16TOF32 (BO[l]),
|
||
BF16TOF32 (BO[l])
|
||
};
|
||
v4sf_t rowA =
|
||
{ BF16TOF32 (AO[l << 3]), BF16TOF32 (AO[(l << 3) + 1]),
|
||
BF16TOF32 (AO[(l << 3) + 2]),
|
||
BF16TOF32 (AO[(l << 3) + 3])
|
||
};
|
||
v4sf_t rowA1 =
|
||
{ BF16TOF32 (AO[(l << 3) + 4]), BF16TOF32 (AO[(l << 3) + 5]),
|
||
BF16TOF32 (AO[(l << 3) + 6]),
|
||
BF16TOF32 (AO[(l << 3) + 7])
|
||
};
|
||
t += rowA * rowB;
|
||
t1 += rowA1 * rowB;
|
||
}
|
||
t = t * valpha;
|
||
t1 = t1 * valpha;
|
||
CO[0] += t[0];
|
||
CO[1] += t[1];
|
||
CO[2] += t[2];
|
||
CO[3] += t[3];
|
||
CO[4] += t1[0];
|
||
CO[5] += t1[1];
|
||
CO[6] += t1[2];
|
||
CO[7] += t1[3];
|
||
AO += k << 3;
|
||
BO += k;
|
||
CO += 8;
|
||
i -= 8;
|
||
}
|
||
/* Loop for m >= 4. */
|
||
while (i >= 4)
|
||
{
|
||
IFLOAT *BO = B;
|
||
BLASLONG l = 0;
|
||
v4sf_t t = { 0, 0, 0, 0 };
|
||
for (l = 0; l < k; l++)
|
||
{
|
||
v4sf_t rowB =
|
||
{ BF16TOF32 (BO[l]), BF16TOF32 (BO[l]), BF16TOF32 (BO[l]),
|
||
BF16TOF32 (BO[l])
|
||
};
|
||
v4sf_t rowA =
|
||
{ BF16TOF32 (AO[l << 2]), BF16TOF32 (AO[(l << 2) + 1]),
|
||
BF16TOF32 (AO[(l << 2) + 2]),
|
||
BF16TOF32 (AO[(l << 2) + 3])
|
||
};
|
||
t += rowA * rowB;
|
||
}
|
||
t = t * valpha;
|
||
CO[0] += t[0];
|
||
CO[1] += t[1];
|
||
CO[2] += t[2];
|
||
CO[3] += t[3];
|
||
AO += k << 2;
|
||
BO += k;
|
||
CO += 4;
|
||
i -= 4;
|
||
}
|
||
/* Loop for m >= 2. */
|
||
while (i >= 2)
|
||
{
|
||
IFLOAT *BO = B;
|
||
BLASLONG l = 0;
|
||
v4sf_t t = { 0, 0, 0, 0 };
|
||
for (l = 0; l < k; l++)
|
||
{
|
||
v4sf_t rowB = { BF16TOF32 (BO[l]), BF16TOF32 (BO[l]), 0, 0 };
|
||
v4sf_t rowA =
|
||
{ BF16TOF32 (AO[l << 1]), BF16TOF32 (AO[(l << 1) + 1]), 0,
|
||
0
|
||
};
|
||
t += rowA * rowB;
|
||
}
|
||
t = t * valpha;
|
||
CO[0] += t[0];
|
||
CO[1] += t[1];
|
||
AO += k << 1;
|
||
BO += k;
|
||
CO += 2;
|
||
i -= 2;
|
||
}
|
||
/* Loop for m = 1. */
|
||
while (i >= 1)
|
||
{
|
||
IFLOAT *BO = B;
|
||
BLASLONG l = 0;
|
||
FLOAT t = 0;
|
||
for (l = 0; l < k; l++)
|
||
{
|
||
t += BF16TOF32 (AO[l]) * BF16TOF32 (BO[l]);
|
||
}
|
||
AO += k;
|
||
BO += k;
|
||
CO[0] += t * alpha;
|
||
CO += 1;
|
||
i -= 1;
|
||
}
|
||
|
||
B += k;
|
||
}
|
||
|
||
return 0;
|
||
}
|