/********************************************************************************* Copyright (c) 2020, The OpenBLAS Project All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. Neither the name of the OpenBLAS project nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. **********************************************************************************/ #include "common.h" #include #if defined(BFLOAT16) && defined(BFLOAT16CONVERSION) static float bfloat16tof32 (bfloat16 f16) { float result = 0; unsigned short *q = (unsigned short *) (&result); #if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ q[0] = f16; #else q[1] = f16; #endif return result; } #define BF16TOF32(x) (bfloat16tof32(x)) #else #define BF16TOF32(x) x #endif typedef __vector unsigned char vec_t; /* Under BGEMM, FLOAT resolves to bfloat16 (see common.h), but the MMA * accumulators always produce float32. Declare internal float vector types * explicitly so arithmetic stays in float32 regardless of FLOAT. */ #ifdef BGEMM typedef float v4sf_t __attribute__ ((vector_size (16))); typedef float v2sf_t __attribute__ ((vector_size (8))); typedef __vector unsigned short vec_u16_t; /* Scalar float alpha derived from the bfloat16 alpha parameter. */ #else typedef FLOAT v4sf_t __attribute__ ((vector_size (16))); typedef FLOAT v2sf_t __attribute__ ((vector_size (8))); #endif #ifdef BGEMM /* * STORE4_BF16: C[0..3] += alpha * acc for a BF16 output matrix. * * All arithmetic in float32. One VSX conversion instruction for the store: * xvcvspbf16 — convert float32 sum to BF16 (4 lanes, 1 instruction) * * The read of existing C is done element-wise with BF16TOF32 (scalar widening). * This is the same approach used throughout the rest of the kernel for C access. * * Steps: * 1. Read 4 existing BF16 values from C, widen to float32 (BF16TOF32) * 2. Scale acc by float32 alpha, add to existing C — all in float32 * 3. Convert float32 sum → BF16 via xvcvspbf16 (1 VSX instruction, 4 lanes) * 4. Extract BF16 results via uint16 element indices 0,2,4,6 and store */ #define STORE4_BF16(ptr, acc_vec, alpha_f32) \ do { \ v4sf_t _c = { \ BF16TOF32 ((ptr)[0]), BF16TOF32 ((ptr)[1]), \ BF16TOF32 ((ptr)[2]), BF16TOF32 ((ptr)[3]) \ }; \ v4sf_t _sum = _c + (acc_vec) * (alpha_f32); \ vec_t _conv = __builtin_vsx_xvcvspbf16 ((vec_t)_sum); \ vec_u16_t _cv = (vec_u16_t) _conv; \ (ptr)[0] = _cv[0]; \ (ptr)[1] = _cv[2]; \ (ptr)[2] = _cv[4]; \ (ptr)[3] = _cv[6]; \ } while (0) /* Same as STORE4_BF16 but for 2 BF16 lanes (n&2 remainder paths). */ #define STORE2_BF16(ptr, acc_vec, alpha_f32) \ do { \ v4sf_t _c = { BF16TOF32 ((ptr)[0]), BF16TOF32 ((ptr)[1]), 0, 0 }; \ v4sf_t _sum = _c + (acc_vec) * (alpha_f32); \ vec_t _conv = __builtin_vsx_xvcvspbf16 ((vec_t)_sum); \ vec_u16_t _cv = (vec_u16_t) _conv; \ (ptr)[0] = _cv[0]; \ (ptr)[1] = _cv[2]; \ } while (0) /* Scalar float32 → BF16 using xvcvspbf16 on a 1-element vector. * Used for single-element remainder paths (m&1, n&1 tails). */ static inline bfloat16 f32tobf16_scalar (float f) { v4sf_t v = { f, 0, 0, 0 }; vec_t conv = __builtin_vsx_xvcvspbf16 ((vec_t)v); /* Extract BF16 from high 16b of first slot via vector element access */ return (((__vector unsigned short)conv)[0]); } #endif /* BGEMM */ /* * BFLOAT16 xvbf16ger2pp instruction needs 4×2 matrix of * bfloat16 floating-point values as input. Hence this * merging is needed on A and B matrices. */ #define MERGE_HIGH(x, y) (vec_t) vec_mergeh ((vector short)x, (vector short)y) #define MERGE_LOW(x, y) (vec_t) vec_mergel ((vector short)x, (vector short)y) #ifndef BGEMM /* ---- SBGEMM: accumulator result is float32; C is float* ---- */ #define SAVE_ACC(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ rowC = (v4sf_t *) &CO[0* ldc+J]; \ rowC[0] += result[0] * alpha; \ rowC = (v4sf_t *) &CO[1*ldc+J]; \ rowC[0] += result[1] * alpha; \ rowC = (v4sf_t *) &CO[2*ldc+J]; \ rowC[0] += result[2] * alpha; \ rowC = (v4sf_t *) &CO[3*ldc+J]; \ rowC[0] += result[3] * alpha; #define SAVE_ACC1(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ rowC = (v4sf_t *) &CO[4* ldc+J]; \ rowC[0] += result[0] * alpha; \ rowC = (v4sf_t *) &CO[5*ldc+J]; \ rowC[0] += result[1] * alpha; \ rowC = (v4sf_t *) &CO[6*ldc+J]; \ rowC[0] += result[2] * alpha; \ rowC = (v4sf_t *) &CO[7*ldc+J]; \ rowC[0] += result[3] * alpha; #define SAVE4x2_ACC(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ rowC = (v2sf_t *) &CO[0* ldc+J]; \ rowC[0] += result[0] * alpha; \ rowC = (v2sf_t *) &CO[1* ldc+J]; \ rowC[0] += result[2] * alpha; \ rowC = (v2sf_t *) &CO[2* ldc+J]; \ rowC[0] += result[4] * alpha; \ rowC = (v2sf_t *) &CO[3* ldc+J]; \ rowC[0] += result[6] * alpha; #define SAVE4x2_ACC1(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ rowC = (v2sf_t *) &CO[4* ldc+J]; \ rowC[0] += result[0] * alpha; \ rowC = (v2sf_t *) &CO[5* ldc+J]; \ rowC[0] += result[2] * alpha; \ rowC = (v2sf_t *) &CO[6* ldc+J]; \ rowC[0] += result[4] * alpha; \ rowC = (v2sf_t *) &CO[7* ldc+J]; \ rowC[0] += result[6] * alpha; #define SAVE4x2_ACC_SCALAR(ACC) { \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ res[0] = result[0] * alpha; \ res[1] = result[1] * alpha; \ res[2] = result[2] * alpha; \ res[3] = result[3] * alpha; \ CO[0 * ldc] += res[0][0]; \ CO[1 * ldc] += res[1][0]; \ CO[2 * ldc] += res[2][0]; \ CO[3 * ldc] += res[3][0]; \ } #define SAVE4x2_ACC1_SCALAR(ACC) { \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ res[0] = result[0] * alpha; \ res[1] = result[1] * alpha; \ res[2] = result[2] * alpha; \ res[3] = result[3] * alpha; \ CO[4 * ldc] += res[0][0]; \ CO[5 * ldc] += res[1][0]; \ CO[6 * ldc] += res[2][0]; \ CO[7 * ldc] += res[3][0]; \ } #define SAVE2x4_ACC(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ rowC = (v4sf_t *) &CO[0* ldc+J]; \ rowC[0] += result[0] * alpha; \ rowC = (v4sf_t *) &CO[1* ldc+J]; \ rowC[0] += result[1] * alpha; #else /* BGEMM: accumulator result is float32; C is bfloat16* */ /* Disassemble, scale by float alpha, convert each float32 lane to BF16 and * store to the BF16 output row. CO is bfloat16*, J is column offset. */ #define SAVE_ACC(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ STORE4_BF16 (&CO[0 * ldc + (J)], result[0], falpha); \ STORE4_BF16 (&CO[1 * ldc + (J)], result[1], falpha); \ STORE4_BF16 (&CO[2 * ldc + (J)], result[2], falpha); \ STORE4_BF16 (&CO[3 * ldc + (J)], result[3], falpha); \ #define SAVE_ACC1(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ STORE4_BF16 (&CO[4 * ldc + (J)], result[0], falpha); \ STORE4_BF16 (&CO[5 * ldc + (J)], result[1], falpha); \ STORE4_BF16 (&CO[6 * ldc + (J)], result[2], falpha); \ STORE4_BF16 (&CO[7 * ldc + (J)], result[3], falpha); \ /* SAVE4x2_ACC: 2-wide B side — accumulator row i maps to C row i, cols J..J+1 */ #define SAVE4x2_ACC(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ STORE2_BF16 (&CO[0 * ldc + (J)], result[0], falpha); \ STORE2_BF16 (&CO[1 * ldc + (J)], result[1], falpha); \ STORE2_BF16 (&CO[2 * ldc + (J)], result[2], falpha); \ STORE2_BF16 (&CO[3 * ldc + (J)], result[3], falpha); \ #define SAVE4x2_ACC1(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ STORE2_BF16 (&CO[4 * ldc + (J)], result[0], falpha); \ STORE2_BF16 (&CO[5 * ldc + (J)], result[1], falpha); \ STORE2_BF16 (&CO[6 * ldc + (J)], result[2], falpha); \ STORE2_BF16 (&CO[7 * ldc + (J)], result[3], falpha); \ #define SAVE4x2_ACC_SCALAR(ACC) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ res[0] = result[0] * falpha; \ res[1] = result[1] * falpha; \ res[2] = result[2] * falpha; \ res[3] = result[3] * falpha; \ CO[0 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[0 * ldc]) + res[0][0]); \ CO[1 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[1 * ldc]) + res[1][0]); \ CO[2 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[2 * ldc]) + res[2][0]); \ CO[3 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[3 * ldc]) + res[3][0]); #define SAVE4x2_ACC1_SCALAR(ACC) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ res[0] = result[0] * falpha; \ res[1] = result[1] * falpha; \ res[2] = result[2] * falpha; \ res[3] = result[3] * falpha; \ CO[4 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[4 * ldc]) + res[0][0]); \ CO[5 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[5 * ldc]) + res[1][0]); \ CO[6 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[6 * ldc]) + res[2][0]); \ CO[7 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[7 * ldc]) + res[3][0]); #define SAVE2x4_ACC(ACC, J) \ __builtin_mma_disassemble_acc ((void *)result, ACC); \ STORE4_BF16 (&CO[0 * ldc + (J)], result[0], falpha); \ STORE4_BF16 (&CO[1 * ldc + (J)], result[1], falpha); \ #endif /* BGEMM */ /* MMA instruction is identical for both SBGEMM and BGEMM */ #define MMA __builtin_mma_xvbf16ger2pp #define SET_ACC_ZERO4() \ __builtin_mma_xxsetaccz (&acc0); \ __builtin_mma_xxsetaccz (&acc1); \ __builtin_mma_xxsetaccz (&acc2); \ __builtin_mma_xxsetaccz (&acc3); #define SET_ACC_ZERO8() \ __builtin_mma_xxsetaccz (&acc0); \ __builtin_mma_xxsetaccz (&acc1); \ __builtin_mma_xxsetaccz (&acc2); \ __builtin_mma_xxsetaccz (&acc3); \ __builtin_mma_xxsetaccz (&acc4); \ __builtin_mma_xxsetaccz (&acc5); \ __builtin_mma_xxsetaccz (&acc6); \ __builtin_mma_xxsetaccz (&acc7); #define PREFETCH1(x, y) asm volatile ("dcbt %0, %1" : : "b" (x), "r" (y) : "memory"); /************************************************************************************* * SBGEMM Kernel *************************************************************************************/ int CNAME (BLASLONG m, BLASLONG n, BLASLONG k, FLOAT alpha, IFLOAT * A, IFLOAT * B, FLOAT * C, BLASLONG ldc) { BLASLONG i1; #ifdef BGEMM /* alpha is bfloat16 under BGEMM; convert once to float for all arithmetic. */ float falpha = BF16TOF32 (alpha); v4sf_t valpha = { falpha, falpha, falpha, falpha }; #else v4sf_t valpha = { alpha, alpha, alpha, alpha }; #endif vector short vzero = { 0, 0, 0, 0, 0, 0, 0, 0 }; /* Loop for n >= 8. */ for (i1 = 0; i1 < (n >> 3); i1++) { BLASLONG j; FLOAT *CO; IFLOAT *AO; CO = C; C += ldc << 3; AO = A; PREFETCH1 (A, 128); PREFETCH1 (A, 256); /* Loop for m >= 16. */ for (j = 0; j < (m >> 4); j++) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif v4sf_t result[4]; __vector_quad acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7; SET_ACC_ZERO8 (); 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 << 4]); MMA (&acc0, rowB[0], rowA[0]); MMA (&acc1, rowB[1], rowA[0]); MMA (&acc2, rowB[0], rowA[1]); MMA (&acc3, rowB[1], rowA[1]); MMA (&acc4, rowB[0], rowA[2]); MMA (&acc5, rowB[1], rowA[2]); MMA (&acc6, rowB[0], rowA[3]); MMA (&acc7, rowB[1], rowA[3]); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 4; vec_t *rowA = (vec_t *) & (AO[l << 1]); vec_t *rowB = (vec_t *) & (BO[l]); vec_t rowB_h = MERGE_HIGH (rowB[0], vzero); vec_t rowB_l = MERGE_LOW (rowB[0], vzero); vec_t rowA_h = MERGE_HIGH (rowA[0], vzero); vec_t rowA_l = MERGE_LOW (rowA[0], vzero); vec_t rowA2_h = MERGE_HIGH (rowA[1], vzero); vec_t rowA2_l = MERGE_LOW (rowA[1], vzero); MMA (&acc0, rowB_h, rowA_h); MMA (&acc1, rowB_l, rowA_h); MMA (&acc2, rowB_h, rowA_l); MMA (&acc3, rowB_l, rowA_l); MMA (&acc4, rowB_h, rowA2_h); MMA (&acc5, rowB_l, rowA2_h); MMA (&acc6, rowB_h, rowA2_l); MMA (&acc7, rowB_l, rowA2_l); } SAVE_ACC (&acc0, 0); SAVE_ACC (&acc2, 4); SAVE_ACC1 (&acc1, 0); SAVE_ACC1 (&acc3, 4); SAVE_ACC (&acc4, 8); SAVE_ACC (&acc6, 12); SAVE_ACC1 (&acc5, 8); SAVE_ACC1 (&acc7, 12); CO += 16; AO += (k << 4); BO += (k << 3); } if (m & 8) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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 << 4]); vec_t *rowB = (vec_t *) & (BO[l << 4]); MMA (&acc0, rowB[0], rowA[0]); MMA (&acc1, rowB[1], rowA[0]); MMA (&acc2, rowB[0], rowA[1]); MMA (&acc3, rowB[1], rowA[1]); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 4; vec_t *rowA = (vec_t *) & (AO[l]); vec_t *rowB = (vec_t *) & (BO[l]); vec_t rowB_h = MERGE_HIGH (rowB[0], vzero); vec_t rowB_l = MERGE_LOW (rowB[0], vzero); vec_t rowA_h = MERGE_HIGH (rowA[0], vzero); vec_t rowA_l = MERGE_LOW (rowA[0], vzero); MMA (&acc0, rowB_h, rowA_h); MMA (&acc1, rowB_l, rowA_h); MMA (&acc2, rowB_h, rowA_l); MMA (&acc3, rowB_l, rowA_l); } SAVE_ACC (&acc0, 0); SAVE_ACC (&acc2, 4); SAVE_ACC1 (&acc1, 0); SAVE_ACC1 (&acc3, 4); CO += 8; AO += (k << 3); BO += (k << 3); } if (m & 4) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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 << 3]); vec_t *rowB = (vec_t *) & (BO[l << 4]); MMA (&acc0, rowB[0], rowA[0]); MMA (&acc1, rowB[1], rowA[0]); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 3; vector short rowA = { AO[l + 0], 0, AO[l + 1], 0, AO[l + 2], 0, AO[l + 3], 0 }; vec_t *rowB = (vec_t *) & (BO[l << 1]); MMA (&acc0, MERGE_HIGH (rowB[0], vzero), (vec_t) rowA); MMA (&acc1, MERGE_LOW (rowB[0], vzero), (vec_t) rowA); } SAVE_ACC (&acc0, 0); SAVE_ACC1 (&acc1, 0); CO += 4; AO += (k << 2); BO += (k << 3); } if (m & 2) { IFLOAT *BO = B; #ifndef BGEMM v2sf_t *rowC; v2sf_t result[8]; #else v4sf_t result[4]; #endif __vector_quad acc0, acc1; __builtin_mma_xxsetaccz (&acc0); __builtin_mma_xxsetaccz (&acc1); BLASLONG l = 0; 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 << 4]); MMA (&acc0, rowB[0], (vec_t) rowA); MMA (&acc1, rowB[1], (vec_t) rowA); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 2; vector short rowA = { AO[l + 0], 0, AO[l + 1], 0, 0, 0, 0, 0 }; vec_t *rowB = (vec_t *) & (BO[(l << 2)]); MMA (&acc0, MERGE_HIGH (rowB[0], vzero), (vec_t) rowA); MMA (&acc1, MERGE_LOW (rowB[0], vzero), (vec_t) rowA); } SAVE4x2_ACC (&acc0, 0); SAVE4x2_ACC1 (&acc1, 0); CO += 2; AO += (k << 1); BO += (k << 3); } if (m & 1) { IFLOAT *BO = B; v4sf_t result[4], res[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 rowA = { AO[(l << 1) + 0], AO[(l << 1) + 1], 0, 0, 0, 0, 0, 0}; vec_t *rowB = (vec_t *) & (BO[l << 4]); MMA (&acc0, rowB[0], (vec_t) rowA); MMA (&acc1, rowB[1], (vec_t) rowA); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 1; vector short rowA = { AO[l], 0, 0, 0, 0, 0, 0, 0 }; vec_t *rowB = (vec_t *) & (BO[(l << 3)]); MMA (&acc0, MERGE_HIGH (rowB[0], vzero), (vec_t) rowA); MMA (&acc1, MERGE_LOW (rowB[0], vzero), (vec_t) rowA); } SAVE4x2_ACC_SCALAR (&acc0); SAVE4x2_ACC1_SCALAR (&acc1); CO += 1; AO += k; BO += (k << 3); } B += k << 3; } if (n & 4) { BLASLONG j; FLOAT *CO; IFLOAT *AO; CO = C; C += ldc << 2; AO = A; /* Loop for m >= 32. */ for (j = 0; j < (m >> 5); j++) { IFLOAT *BO = B; IFLOAT *A1 = AO + (16 * k); #ifndef BGEMM v4sf_t *rowC; #endif v4sf_t result[4]; __vector_quad acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7; SET_ACC_ZERO8 (); BLASLONG l = 0; for (l = 0; l < k / 2; l++) { vec_t *rowA = (vec_t *) & (AO[l << 5]); vec_t *rowA1 = (vec_t *) & (A1[l << 5]); vec_t *rowB = (vec_t *) & (BO[l << 3]); MMA (&acc0, rowB[0], rowA[0]); MMA (&acc1, rowB[0], rowA[1]); MMA (&acc2, rowB[0], rowA[2]); MMA (&acc3, rowB[0], rowA[3]); MMA (&acc4, rowB[0], rowA1[0]); MMA (&acc5, rowB[0], rowA1[1]); MMA (&acc6, rowB[0], rowA1[2]); MMA (&acc7, rowB[0], 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)]); vector short rowB_mrg = { BO[l], 0, BO[l + 1], 0, BO[l + 2], 0, BO[l + 3], 0 }; MMA (&acc0, (vec_t)rowB_mrg, MERGE_HIGH (rowA[0], vzero)); MMA (&acc1, (vec_t)rowB_mrg, MERGE_LOW (rowA[0], vzero)); MMA (&acc2, (vec_t)rowB_mrg, MERGE_HIGH (rowA[1], vzero)); MMA (&acc3, (vec_t)rowB_mrg, MERGE_LOW (rowA[1], vzero)); MMA (&acc4, (vec_t)rowB_mrg, MERGE_HIGH (rowA1[0], vzero)); MMA (&acc5, (vec_t)rowB_mrg, MERGE_LOW (rowA1[0], vzero)); MMA (&acc6, (vec_t)rowB_mrg, MERGE_HIGH (rowA1[1], vzero)); MMA (&acc7, (vec_t)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; } if (m & 16) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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]); MMA (&acc0, rowB[0], rowA[0]); MMA (&acc1, rowB[0], rowA[1]); MMA (&acc2, rowB[0], rowA[2]); MMA (&acc3, rowB[0], rowA[3]); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 3; vec_t *rowA = (vec_t *) & (AO[(l << 2)]); vector short rowB_mrg = { BO[l], 0, BO[l + 1], 0, BO[l + 2], 0, BO[l + 3], 0 }; MMA (&acc0, (vec_t)rowB_mrg, MERGE_HIGH (rowA[0], vzero)); MMA (&acc1, (vec_t)rowB_mrg, MERGE_LOW (rowA[0], vzero)); MMA (&acc2, (vec_t)rowB_mrg, MERGE_HIGH (rowA[1], vzero)); MMA (&acc3, (vec_t)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; } if (m & 8) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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]); MMA (&acc0, rowB[0], rowA[0]); MMA (&acc1, rowB[0], rowA[1]); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 3; vec_t *rowA = (vec_t *) & (AO[l << 1]); vector short rowB_mrg = { BO[l], 0, BO[l + 1], 0, BO[l + 2], 0, BO[l + 3], 0 }; MMA (&acc0, (vec_t)rowB_mrg, MERGE_HIGH (rowA[0], vzero)); MMA (&acc1, (vec_t)rowB_mrg, MERGE_LOW (rowA[0], vzero)); } SAVE_ACC (&acc0, 0); SAVE_ACC (&acc1, 4); CO += 8; AO += k << 3; BO += k << 2; } if (m & 4) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif __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, rowB[0], 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 }; vector short rowB_mrg = { BO[l], 0, BO[l + 1], 0, BO[l + 2], 0, BO[l + 3], 0 }; MMA (&acc0, (vec_t)(rowB_mrg), (vec_t) rowA); } SAVE_ACC (&acc0, 0); CO += 4; AO += k << 2; BO += k << 2; } if (m & 2) { IFLOAT *BO = B; #ifndef BGEMM v2sf_t *rowC; v2sf_t result[8]; #else v4sf_t result[4]; #endif __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, 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 }; vector short rowB_mrg = { BO[(l<<1)], 0, BO[(l<<1) + 1], 0, BO[(l<<1) + 2], 0, BO[(l<<1) + 3], 0 }; MMA (&acc0, (vec_t)(rowB_mrg), (vec_t) rowA); } SAVE4x2_ACC (&acc0, 0); CO += 2; AO += k << 1; BO += k << 2; } if (m & 1) { IFLOAT *BO = B; v4sf_t result[4], res[4]; __vector_quad acc0; BLASLONG l = 0; __builtin_mma_xxsetaccz (&acc0); for (l = 0; l < k / 2; l++) { vector short rowA = { AO[(l << 1) + 0], AO[(l << 1) + 1], 0, 0, 0, 0, 0 }; vec_t *rowB = (vec_t *) & (BO[l << 3]); MMA (&acc0, rowB[0], (vec_t) rowA); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 1; vector short rowA = { AO[l], 0, 0, 0, 0, 0, 0, 0 }; vector short rowB_mrg = { BO[(l<<2) + 0], 0, BO[(l<<2) + 1], 0, BO[(l <<2) + 2], 0, BO[(l<<2) + 3], 0 }; MMA (&acc0, (vec_t)(rowB_mrg), (vec_t) rowA); } SAVE4x2_ACC_SCALAR (&acc0); AO += k; BO += (k << 2); CO += 1; } B += k << 2; } if (n & 2) { BLASLONG j; FLOAT *CO; IFLOAT *AO; CO = C; C += ldc << 1; AO = A; /* Loop for m >= 32. */ for (j = 0; j < (m >> 5); j++) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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, rowA[0]); MMA (&acc1, (vec_t) rowB, rowA[1]); MMA (&acc2, (vec_t) rowB, rowA[2]); MMA (&acc3, (vec_t) rowB, rowA[3]); MMA (&acc4, (vec_t) rowB, rowA1[0]); MMA (&acc5, (vec_t) rowB, rowA1[1]); MMA (&acc6, (vec_t) rowB, rowA1[2]); MMA (&acc7, (vec_t) rowB, 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], vzero)); MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], vzero)); MMA (&acc2, (vec_t) rowB, MERGE_HIGH (rowA[1], vzero)); MMA (&acc3, (vec_t) rowB, MERGE_LOW (rowA[1], vzero)); MMA (&acc4, (vec_t) rowB, MERGE_HIGH (rowA1[0], vzero)); MMA (&acc5, (vec_t) rowB, MERGE_LOW (rowA1[0], vzero)); MMA (&acc6, (vec_t) rowB, MERGE_HIGH (rowA1[1], vzero)); MMA (&acc7, (vec_t) rowB, MERGE_LOW (rowA1[1], vzero)); } 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; } if (m & 16) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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, rowA[0]); MMA (&acc1, (vec_t) rowB, rowA[1]); MMA (&acc2, (vec_t) rowB, rowA[2]); MMA (&acc3, (vec_t) rowB, 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], vzero )); MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], vzero)); MMA (&acc2, (vec_t) rowB, MERGE_HIGH (rowA[1], vzero)); MMA (&acc3, (vec_t) rowB, MERGE_LOW (rowA[1], vzero)); } SAVE2x4_ACC (&acc0, 0); SAVE2x4_ACC (&acc1, 4); SAVE2x4_ACC (&acc2, 8); SAVE2x4_ACC (&acc3, 12); CO += 16; AO += k << 4; BO += k << 1; } if (m & 8) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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, rowA[0]); MMA (&acc1, (vec_t) rowB, 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], vzero)); MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], vzero)); } SAVE2x4_ACC (&acc0, 0); SAVE2x4_ACC (&acc1, 4); CO += 8; AO += k << 3; BO += k << 1; } if (m & 4) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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, 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 }; vector short rowA = { AO[(l << 1)], 0, AO[(l << 1) + 1] , 0 , AO[(l<<1) + 2], 0, AO[(l << 1) + 3], 0 }; MMA (&acc0, (vec_t) rowB, (vec_t)(rowA)); } SAVE2x4_ACC (&acc0, 0); CO += 4; AO += k << 2; BO += k << 1; } if (m & 2) { 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; #ifdef BGEMM CO[0 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[0 * ldc]) + t[0]); CO[1 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[1 * ldc]) + t[1]); CO[0 * ldc + 1] = f32tobf16_scalar (BF16TOF32 (CO[0 * ldc + 1]) + t[2]); CO[1 * ldc + 1] = f32tobf16_scalar (BF16TOF32 (CO[1 * ldc + 1]) + t[3]); #else CO[0 * ldc] += t[0]; CO[1 * ldc] += t[1]; CO[0 * ldc + 1] += t[2]; CO[1 * ldc + 1] += t[3]; #endif CO += 2; AO += k << 1; BO += k << 1; } if (m & 1) { 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; } #ifdef BGEMM CO[0 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[0 * ldc]) + t[0] * falpha); CO[1 * ldc] = f32tobf16_scalar (BF16TOF32 (CO[1 * ldc]) + t[1] * falpha); #else CO[0 * ldc] += t[0] * alpha; CO[1 * ldc] += t[1] * alpha; #endif CO += 1; AO += k; BO += k << 1; } B += k << 1; } if (n & 1) { BLASLONG j; FLOAT *CO; IFLOAT *AO; CO = C; C += ldc; AO = A; /* Loop for m >= 16. */ for (j = 0; j < (m >> 4); j++) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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 << 1], BO[(l << 1) + 1], 0, 0, 0, 0, 0, 0}; vec_t *rowA = (vec_t *) & (AO[l << 5]); MMA (&acc0, (vec_t) rowB, rowA[0]); MMA (&acc1, (vec_t) rowB, rowA[1]); MMA (&acc2, (vec_t) rowB, rowA[2]); MMA (&acc3, (vec_t) rowB, rowA[3]); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 1; vector short rowB = { BO[l], 0, 0, 0, 0, 0, 0, 0 }; vec_t *rowA = (vec_t *) & (AO[(l << 4)]); MMA (&acc0, (vec_t) rowB, MERGE_HIGH (rowA[0], vzero)); MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], vzero)); MMA (&acc2, (vec_t) rowB, MERGE_HIGH (rowA[1], vzero)); MMA (&acc3, (vec_t) rowB, MERGE_LOW (rowA[1], vzero)); } #ifdef BGEMM __builtin_mma_disassemble_acc ((void *)result, &acc0); STORE4_BF16 (&CO[0], result[0], falpha); __builtin_mma_disassemble_acc ((void *)result, &acc1); STORE4_BF16 (&CO[4], result[0], falpha); __builtin_mma_disassemble_acc ((void *)result, &acc2); STORE4_BF16 (&CO[8], result[0], falpha); __builtin_mma_disassemble_acc ((void *)result, &acc3); STORE4_BF16 (&CO[12], result[0], falpha); #else rowC = (v4sf_t *) &CO[0]; __builtin_mma_disassemble_acc ((void *)result, &acc0); rowC[0] += result[0] * alpha; __builtin_mma_disassemble_acc ((void *)result, &acc1); rowC[1] += result[0] * alpha; __builtin_mma_disassemble_acc ((void *)result, &acc2); rowC[2] += result[0] * alpha; __builtin_mma_disassemble_acc ((void *)result, &acc3); rowC[3] += result[0] * alpha; #endif AO += k << 4; BO += k; CO += 16; } /* Loop for m >= 8. */ if (m & 8) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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 << 1], BO[(l << 1) + 1], 0, 0, 0, 0, 0, 0}; vec_t *rowA = (vec_t *) & (AO[l << 4]); MMA (&acc0, (vec_t) rowB, rowA[0]); MMA (&acc1, (vec_t) rowB, rowA[1]); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 1; vector short rowB = { BO[l], 0, 0, 0, 0, 0, 0, 0 }; vec_t *rowA = (vec_t *) & (AO[(l << 3)]); MMA (&acc0, (vec_t) rowB, MERGE_HIGH (rowA[0], vzero)); MMA (&acc1, (vec_t) rowB, MERGE_LOW (rowA[0], vzero)); } #ifdef BGEMM __builtin_mma_disassemble_acc ((void *)result, &acc0); STORE4_BF16 (&CO[0], result[0], falpha); __builtin_mma_disassemble_acc ((void *)result, &acc1); STORE4_BF16 (&CO[4], result[0], falpha); #else rowC = (v4sf_t *) &CO[0]; __builtin_mma_disassemble_acc ((void *)result, &acc0); rowC[0] += result[0] * alpha; __builtin_mma_disassemble_acc ((void *)result, &acc1); rowC[1] += result[0] * alpha; #endif AO += k << 3; BO += k; CO += 8; } /* Loop for m >= 4. */ if (m & 4) { IFLOAT *BO = B; #ifndef BGEMM v4sf_t *rowC; #endif 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 << 1], BO[(l << 1) + 1], 0, 0, 0, 0, 0, 0}; vec_t *rowA = (vec_t *) & (AO[l << 3]); MMA (&acc0, (vec_t) rowB, rowA[0]); } if (k % 2 == 1) { if (k > 1) l = (k / 2) << 1; vector short rowB = { BO[l], 0, 0, 0, 0, 0, 0, 0 }; vector short rowA = { AO[(l << 2)], 0, AO[(l << 2) + 1] , 0 , AO[(l << 2) + 2], 0, AO[(l << 2) + 3], 0 }; MMA (&acc0, (vec_t) rowB, (vec_t)(rowA)); } #ifdef BGEMM __builtin_mma_disassemble_acc ((void *)result, &acc0); STORE4_BF16 (&CO[0], result[0], falpha); #else rowC = (v4sf_t *) &CO[0]; __builtin_mma_disassemble_acc ((void *)result, &acc0); rowC[0] += result[0] * alpha; #endif AO += k << 2; BO += k; CO += 4; } /* Loop for m >= 2. */ if (m & 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; #ifdef BGEMM CO[0] = f32tobf16_scalar (BF16TOF32 (CO[0]) + t[0]); CO[1] = f32tobf16_scalar (BF16TOF32 (CO[1]) + t[1]); #else CO[0] += t[0]; CO[1] += t[1]; #endif AO += k << 1; BO += k; CO += 2; } /* Loop for m = 1. */ if (m & 1) { IFLOAT *BO = B; BLASLONG l = 0; float t = 0; /* float, not FLOAT: accumulate in fp32 regardless of BGEMM */ for (l = 0; l < k; l++) { t += BF16TOF32 (AO[l]) * BF16TOF32 (BO[l]); } AO += k; BO += k; #ifdef BGEMM CO[0] = f32tobf16_scalar (BF16TOF32 (CO[0]) + (float)t * falpha); #else CO[0] += t * alpha; #endif CO += 1; } B += k; } return 0; }