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change data type of bgemm alpha and beta from bfloat16 to fp32 and add makefiles changes for bgemm interface

pull/5287/head
Ye Tao 1 year ago
parent
commit
63ce52ee77
20 changed files with 337 additions and 282 deletions
  1. +2
    -1
      CONTRIBUTORS.md
  2. +5
    -1
      Makefile.system
  3. +3
    -1
      Makefile.tail
  4. +1
    -1
      cblas.h
  5. +2
    -2
      common_interface.h
  6. +2
    -2
      common_level3.h
  7. +2
    -2
      common_param.h
  8. +20
    -1
      driver/level3/Makefile
  9. +15
    -3
      driver/level3/level3.c
  10. +10
    -0
      driver/level3/level3_thread.c
  11. +21
    -1
      interface/Makefile
  12. +18
    -1
      interface/gemm.c
  13. +53
    -0
      kernel/Makefile.L3
  14. +1
    -1
      kernel/arm64/sbgemm_kernel_4x4_neoversev1.c
  15. +2
    -2
      kernel/arm64/sbgemm_kernel_4x4_neoversev1_impl.c
  16. +0
    -227
      kernel/generic/bgemmkernel_2x2.c
  17. +16
    -13
      kernel/generic/gemm_beta.c
  18. +64
    -11
      kernel/generic/gemmkernel_2x2.c
  19. +42
    -2
      test/Makefile
  20. +58
    -10
      test/compare_sgemm_bgemm.c

+ 2
- 1
CONTRIBUTORS.md View File

@@ -251,6 +251,7 @@ In chronological order:
* Ye Tao <ye.tao@arm.com> * Ye Tao <ye.tao@arm.com>
* [2025-02-03] Optimize SBGEMM kernel on NEOVERSEV1 * [2025-02-03] Optimize SBGEMM kernel on NEOVERSEV1
* [2025-02-27] Add sbgemv_n_neon kernel * [2025-02-27] Add sbgemv_n_neon kernel
* [2025-05-17] Impl prototype of BGEMM inferface


* Abhishek Kumar <https://github.com/abhishek-iitmadras> * Abhishek Kumar <https://github.com/abhishek-iitmadras>
* [2025-04-22] Optimise dot kernel for NEOVERSE V1
* [2025-04-22] Optimise dot kernel for NEOVERSE V1

+ 5
- 1
Makefile.system View File

@@ -1544,6 +1544,9 @@ ifeq ($(USE_TLS), 1)
CCOMMON_OPT += -DUSE_TLS CCOMMON_OPT += -DUSE_TLS
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY), 1)
CCOMMON_OPT += -DBUILD_BFLOAT16_ONLY
endif
ifeq ($(BUILD_BFLOAT16), 1) ifeq ($(BUILD_BFLOAT16), 1)
CCOMMON_OPT += -DBUILD_BFLOAT16 CCOMMON_OPT += -DBUILD_BFLOAT16
endif endif
@@ -1888,6 +1891,7 @@ export FUNCTION_PROFILE
export TARGET_CORE export TARGET_CORE
export NO_AVX512 export NO_AVX512
export NO_AVX2 export NO_AVX2
export BUILD_BFLOAT16_ONLY
export BUILD_BFLOAT16 export BUILD_BFLOAT16
export NO_LSX export NO_LSX
export NO_LASX export NO_LASX
@@ -1912,7 +1916,7 @@ export ZGEMM3M_UNROLL_M
export ZGEMM3M_UNROLL_N export ZGEMM3M_UNROLL_N
export XGEMM3M_UNROLL_M export XGEMM3M_UNROLL_M
export XGEMM3M_UNROLL_N export XGEMM3M_UNROLL_N
# Todo: add bgemm unroll factors


ifdef USE_CUDA ifdef USE_CUDA
export CUDADIR export CUDADIR


+ 3
- 1
Makefile.tail View File

@@ -11,7 +11,7 @@ COMMONOBJS_P = $(COMMONOBJS:.$(SUFFIX)=.$(PSUFFIX))


HPLOBJS_P = $(HPLOBJS:.$(SUFFIX)=.$(PSUFFIX)) HPLOBJS_P = $(HPLOBJS:.$(SUFFIX)=.$(PSUFFIX))


BLASOBJS = $(SBEXTOBJS) $(SBBLASOBJS) $(SBLASOBJS) $(DBLASOBJS) $(CBLASOBJS) $(ZBLASOBJS) $(CBAUXOBJS)
BLASOBJS = $(SBEXTOBJS) $(BBLASOBJS) $(SBBLASOBJS) $(SBLASOBJS) $(DBLASOBJS) $(CBLASOBJS) $(ZBLASOBJS) $(CBAUXOBJS)
BLASOBJS_P = $(SBEXTOBJS_P) $(SBBLASOBJS_P) $(SBLASOBJS_P) $(DBLASOBJS_P) $(CBLASOBJS_P) $(ZBLASOBJS_P) $(CBAUXOBJS_P) BLASOBJS_P = $(SBEXTOBJS_P) $(SBBLASOBJS_P) $(SBLASOBJS_P) $(DBLASOBJS_P) $(CBLASOBJS_P) $(ZBLASOBJS_P) $(CBAUXOBJS_P)


ifdef EXPRECISION ifdef EXPRECISION
@@ -24,6 +24,7 @@ BLASOBJS += $(QBLASOBJS) $(XBLASOBJS)
BLASOBJS_P += $(QBLASOBJS_P) $(XBLASOBJS_P) BLASOBJS_P += $(QBLASOBJS_P) $(XBLASOBJS_P)
endif endif


$(BBLASOBJS) : override CFLAGS += -DBFLOAT16_ONLY -UDOUBLE -UCOMPLEX -UBFLOAT16 -USMALL_MATRIX_OPT
$(SBBLASOBJS) $(SBBLASOBJS_P) : override CFLAGS += -DBFLOAT16 -UDOUBLE -UCOMPLEX $(SBBLASOBJS) $(SBBLASOBJS_P) : override CFLAGS += -DBFLOAT16 -UDOUBLE -UCOMPLEX
$(SBLASOBJS) $(SBLASOBJS_P) : override CFLAGS += -UDOUBLE -UCOMPLEX $(SBLASOBJS) $(SBLASOBJS_P) : override CFLAGS += -UDOUBLE -UCOMPLEX
$(DBLASOBJS) $(DBLASOBJS_P) : override CFLAGS += -DDOUBLE -UCOMPLEX $(DBLASOBJS) $(DBLASOBJS_P) : override CFLAGS += -DDOUBLE -UCOMPLEX
@@ -42,6 +43,7 @@ $(ZBLASOBJS_P) : override CFLAGS += -DPROFILE $(COMMON_PROF)
$(XBLASOBJS_P) : override CFLAGS += -DPROFILE $(COMMON_PROF) $(XBLASOBJS_P) : override CFLAGS += -DPROFILE $(COMMON_PROF)
$(SBEXTOBJS_P) : override CFLAGS += -DPROFILE $(COMMON_PROF) $(SBEXTOBJS_P) : override CFLAGS += -DPROFILE $(COMMON_PROF)



libs :: $(BLASOBJS) $(COMMONOBJS) libs :: $(BLASOBJS) $(COMMONOBJS)
$(AR) $(ARFLAGS) -ru $(TOPDIR)/$(LIBNAME) $^ $(AR) $(ARFLAGS) -ru $(TOPDIR)/$(LIBNAME) $^




+ 1
- 1
cblas.h View File

@@ -475,7 +475,7 @@ void cblas_sbgemm_batch(OPENBLAS_CONST enum CBLAS_ORDER Order, OPENBLAS_CONST en
OPENBLAS_CONST float * alpha_array, OPENBLAS_CONST bfloat16 ** A_array, OPENBLAS_CONST blasint * lda_array, OPENBLAS_CONST bfloat16 ** B_array, OPENBLAS_CONST blasint * ldb_array, OPENBLAS_CONST float * beta_array, float ** C_array, OPENBLAS_CONST blasint * ldc_array, OPENBLAS_CONST blasint group_count, OPENBLAS_CONST blasint * group_size); OPENBLAS_CONST float * alpha_array, OPENBLAS_CONST bfloat16 ** A_array, OPENBLAS_CONST blasint * lda_array, OPENBLAS_CONST bfloat16 ** B_array, OPENBLAS_CONST blasint * ldb_array, OPENBLAS_CONST float * beta_array, float ** C_array, OPENBLAS_CONST blasint * ldc_array, OPENBLAS_CONST blasint group_count, OPENBLAS_CONST blasint * group_size);


void cblas_bgemm(OPENBLAS_CONST enum CBLAS_ORDER Order, OPENBLAS_CONST enum CBLAS_TRANSPOSE TransA, OPENBLAS_CONST enum CBLAS_TRANSPOSE TransB, OPENBLAS_CONST blasint M, OPENBLAS_CONST blasint N, OPENBLAS_CONST blasint K, void cblas_bgemm(OPENBLAS_CONST enum CBLAS_ORDER Order, OPENBLAS_CONST enum CBLAS_TRANSPOSE TransA, OPENBLAS_CONST enum CBLAS_TRANSPOSE TransB, OPENBLAS_CONST blasint M, OPENBLAS_CONST blasint N, OPENBLAS_CONST blasint K,
OPENBLAS_CONST bfloat16 alpha, OPENBLAS_CONST bfloat16 *A, OPENBLAS_CONST blasint lda, OPENBLAS_CONST bfloat16 *B, OPENBLAS_CONST blasint ldb, OPENBLAS_CONST bfloat16 beta, bfloat16 *C, OPENBLAS_CONST blasint ldc);
OPENBLAS_CONST float alpha, OPENBLAS_CONST bfloat16 *A, OPENBLAS_CONST blasint lda, OPENBLAS_CONST bfloat16 *B, OPENBLAS_CONST blasint ldb, OPENBLAS_CONST float beta, bfloat16 *C, OPENBLAS_CONST blasint ldc);


#ifdef __cplusplus #ifdef __cplusplus
} }


+ 2
- 2
common_interface.h View File

@@ -481,8 +481,8 @@ void BLASFUNC(xhbmv)(char *, blasint *, blasint *, xdouble *, xdouble *, blasint
xdouble *, blasint *, xdouble *, xdouble *, blasint *); xdouble *, blasint *, xdouble *, xdouble *, blasint *);


/* Level 3 routines */ /* Level 3 routines */
void BLASFUNC(bgemm)(char *, char *, blasint *, blasint *, blasint *, bfloat16 *,
bfloat16 *, blasint *, bfloat16 *, blasint *, bfloat16 *, bfloat16 *, blasint *);
void BLASFUNC(bgemm)(char *, char *, blasint *, blasint *, blasint *, float *,
bfloat16 *, blasint *, bfloat16 *, blasint *, float *, bfloat16 *, blasint *);
void BLASFUNC(sbgemm)(char *, char *, blasint *, blasint *, blasint *, float *, void BLASFUNC(sbgemm)(char *, char *, blasint *, blasint *, blasint *, float *,
bfloat16 *, blasint *, bfloat16 *, blasint *, float *, float *, blasint *); bfloat16 *, blasint *, bfloat16 *, blasint *, float *, float *, blasint *);
void BLASFUNC(sgemm)(char *, char *, blasint *, blasint *, blasint *, float *, void BLASFUNC(sgemm)(char *, char *, blasint *, blasint *, blasint *, float *,


+ 2
- 2
common_level3.h View File

@@ -54,7 +54,7 @@ void sgemm_direct(BLASLONG M, BLASLONG N, BLASLONG K,


int sgemm_direct_performant(BLASLONG M, BLASLONG N, BLASLONG K); int sgemm_direct_performant(BLASLONG M, BLASLONG N, BLASLONG K);


int bgemm_beta(BLASLONG, BLASLONG, BLASLONG, bfloat16,
int bgemm_beta(BLASLONG, BLASLONG, BLASLONG, float,
bfloat16 *, BLASLONG, bfloat16 *, BLASLONG, bfloat16 *, BLASLONG); bfloat16 *, BLASLONG, bfloat16 *, BLASLONG, bfloat16 *, BLASLONG);
int sbgemm_beta(BLASLONG, BLASLONG, BLASLONG, float, int sbgemm_beta(BLASLONG, BLASLONG, BLASLONG, float,
bfloat16 *, BLASLONG, bfloat16 *, BLASLONG, float *, BLASLONG); bfloat16 *, BLASLONG, bfloat16 *, BLASLONG, float *, BLASLONG);
@@ -513,7 +513,7 @@ int xher2k_kernel_LN(BLASLONG m, BLASLONG n, BLASLONG k, xdouble alpha_r, xdoubl
int xher2k_kernel_LC(BLASLONG m, BLASLONG n, BLASLONG k, xdouble alpha_r, xdouble alpha_i, xdouble *a, xdouble *b, xdouble *c, BLASLONG ldc, BLASLONG offset, int flag); int xher2k_kernel_LC(BLASLONG m, BLASLONG n, BLASLONG k, xdouble alpha_r, xdouble alpha_i, xdouble *a, xdouble *b, xdouble *c, BLASLONG ldc, BLASLONG offset, int flag);


// add bgemm kernel // add bgemm kernel
int bgemm_kernel(BLASLONG, BLASLONG, BLASLONG, bfloat16, bfloat16 *, bfloat16 *, bfloat16 *, BLASLONG);
int bgemm_kernel(BLASLONG, BLASLONG, BLASLONG, float, bfloat16 *, bfloat16 *, bfloat16 *, BLASLONG);
int sbgemm_kernel(BLASLONG, BLASLONG, BLASLONG, float, bfloat16 *, bfloat16 *, float *, BLASLONG); int sbgemm_kernel(BLASLONG, BLASLONG, BLASLONG, float, bfloat16 *, bfloat16 *, float *, BLASLONG);
int sgemm_kernel(BLASLONG, BLASLONG, BLASLONG, float, float *, float *, float *, BLASLONG); int sgemm_kernel(BLASLONG, BLASLONG, BLASLONG, float, float *, float *, float *, BLASLONG);
int dgemm_kernel(BLASLONG, BLASLONG, BLASLONG, double, double *, double *, double *, BLASLONG); int dgemm_kernel(BLASLONG, BLASLONG, BLASLONG, double, double *, double *, double *, BLASLONG);


+ 2
- 2
common_param.h View File

@@ -54,8 +54,8 @@ typedef struct {
int bgemm_unroll_m, bgemm_unroll_n, bgemm_unroll_mn; int bgemm_unroll_m, bgemm_unroll_n, bgemm_unroll_mn;
int bgemm_align_k; int bgemm_align_k;


int (*bgemm_kernel )(BLASLONG, BLASLONG, BLASLONG, bfloat16, bfloat16 *, bfloat16 *, bfloat16 *, BLASLONG);
int (*bgemm_beta )(BLASLONG, BLASLONG, BLASLONG, bfloat16, bfloat16 *, BLASLONG, bfloat16 *, BLASLONG, bfloat16 *, BLASLONG);
int (*bgemm_kernel )(BLASLONG, BLASLONG, BLASLONG, float, bfloat16 *, bfloat16 *, bfloat16 *, BLASLONG);
int (*bgemm_beta )(BLASLONG, BLASLONG, BLASLONG, float, bfloat16 *, BLASLONG, bfloat16 *, BLASLONG, bfloat16 *, BLASLONG);


int (*bgemm_incopy )(BLASLONG, BLASLONG, bfloat16 *, BLASLONG, bfloat16 *); int (*bgemm_incopy )(BLASLONG, BLASLONG, bfloat16 *, BLASLONG, bfloat16 *);
int (*bgemm_itcopy )(BLASLONG, BLASLONG, bfloat16 *, BLASLONG, bfloat16 *); int (*bgemm_itcopy )(BLASLONG, BLASLONG, bfloat16 *, BLASLONG, bfloat16 *);


+ 20
- 1
driver/level3/Makefile View File

@@ -52,6 +52,13 @@ ifeq ($(BUILD_BFLOAT16),1)
SBBLASOBJS += sbgemm_nn.$(SUFFIX) sbgemm_nt.$(SUFFIX) sbgemm_tn.$(SUFFIX) sbgemm_tt.$(SUFFIX) SBBLASOBJS += sbgemm_nn.$(SUFFIX) sbgemm_nt.$(SUFFIX) sbgemm_tn.$(SUFFIX) sbgemm_tt.$(SUFFIX)
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY),1)
BBLASOBJS += bgemm_nn.$(SUFFIX) bgemm_nt.$(SUFFIX) bgemm_tn.$(SUFFIX) bgemm_tt.$(SUFFIX)
endif

BLASOBJS += \
gemm_nn.$(SUFFIX) gemm_nt.$(SUFFIX) gemm_tn.$(SUFFIX) gemm_tt.$(SUFFIX)

SBLASOBJS += \ SBLASOBJS += \
sgemm_nn.$(SUFFIX) sgemm_nt.$(SUFFIX) sgemm_tn.$(SUFFIX) sgemm_tt.$(SUFFIX) \ sgemm_nn.$(SUFFIX) sgemm_nt.$(SUFFIX) sgemm_tn.$(SUFFIX) sgemm_tt.$(SUFFIX) \
strmm_LNUU.$(SUFFIX) strmm_LNUN.$(SUFFIX) strmm_LNLU.$(SUFFIX) strmm_LNLN.$(SUFFIX) \ strmm_LNUU.$(SUFFIX) strmm_LNUN.$(SUFFIX) strmm_LNLU.$(SUFFIX) strmm_LNLN.$(SUFFIX) \
@@ -376,6 +383,18 @@ endif


all :: all ::


bgemm_nn.$(SUFFIX) : gemm.c level3.c ../../param.h
$(CC) $(CFLAGS) $(BLOCKS) -c -DHALF -UDOUBLE -UCOMPLEX -DNN $< -o $(@F)

bgemm_nt.$(SUFFIX) : gemm.c level3.c ../../param.h
$(CC) $(CFLAGS) $(BLOCKS) -c -DHALF -UDOUBLE -UCOMPLEX -DNT $< -o $(@F)

bgemm_tn.$(SUFFIX) : gemm.c level3.c ../../param.h
$(CC) $(CFLAGS) $(BLOCKS) -c -DHALF -UDOUBLE -UCOMPLEX -DTN $< -o $(@F)

bgemm_tt.$(SUFFIX) : gemm.c level3.c ../../param.h
$(CC) $(CFLAGS) $(BLOCKS) -c -DHALF -UDOUBLE -UCOMPLEX -DTT $< -o $(@F)

sbgemm_nn.$(SUFFIX) : gemm.c level3.c ../../param.h sbgemm_nn.$(SUFFIX) : gemm.c level3.c ../../param.h
$(CC) $(CFLAGS) $(BLOCKS) -c -DHALF -UDOUBLE -UCOMPLEX -DNN $< -o $(@F) $(CC) $(CFLAGS) $(BLOCKS) -c -DHALF -UDOUBLE -UCOMPLEX -DNN $< -o $(@F)


@@ -432,8 +451,8 @@ cgemm_nt.$(SUFFIX) : gemm.c level3.c ../../param.h


cgemm_nr.$(SUFFIX) : gemm.c level3.c ../../param.h cgemm_nr.$(SUFFIX) : gemm.c level3.c ../../param.h
$(CC) $(CFLAGS) $(BLOCKS) -c -UDOUBLE -DCOMPLEX -DNR $< -o $(@F) $(CC) $(CFLAGS) $(BLOCKS) -c -UDOUBLE -DCOMPLEX -DNR $< -o $(@F)

cgemm_nc.$(SUFFIX) : gemm.c level3.c ../../param.h cgemm_nc.$(SUFFIX) : gemm.c level3.c ../../param.h

$(CC) $(CFLAGS) $(BLOCKS) -c -UDOUBLE -DCOMPLEX -DNC $< -o $(@F) $(CC) $(CFLAGS) $(BLOCKS) -c -UDOUBLE -DCOMPLEX -DNC $< -o $(@F)


cgemm_tn.$(SUFFIX) : gemm.c level3.c ../../param.h cgemm_tn.$(SUFFIX) : gemm.c level3.c ../../param.h


+ 15
- 3
driver/level3/level3.c View File

@@ -43,9 +43,11 @@
#if !defined(XDOUBLE) || !defined(QUAD_PRECISION) #if !defined(XDOUBLE) || !defined(QUAD_PRECISION)
#ifndef COMPLEX #ifndef COMPLEX
#define BETA_OPERATION(M_FROM, M_TO, N_FROM, N_TO, BETA, C, LDC) \ #define BETA_OPERATION(M_FROM, M_TO, N_FROM, N_TO, BETA, C, LDC) \
GEMM_BETA((M_TO) - (M_FROM), (N_TO - N_FROM), 0, \
BETA[0], NULL, 0, NULL, 0, \
(FLOAT *)(C) + ((M_FROM) + (N_FROM) * (LDC)) * COMPSIZE, LDC)
do { \
GEMM_BETA((M_TO) - (M_FROM), (N_TO - N_FROM), 0, \
BETA[0], NULL, 0, NULL, 0, \
(FLOAT *)(C) + ((M_FROM) + (N_FROM) * (LDC)) * COMPSIZE, LDC); \
} while (0)
#else #else
#define BETA_OPERATION(M_FROM, M_TO, N_FROM, N_TO, BETA, C, LDC) \ #define BETA_OPERATION(M_FROM, M_TO, N_FROM, N_TO, BETA, C, LDC) \
GEMM_BETA((M_TO) - (M_FROM), (N_TO - N_FROM), 0, \ GEMM_BETA((M_TO) - (M_FROM), (N_TO - N_FROM), 0, \
@@ -189,7 +191,11 @@
int CNAME(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, int CNAME(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n,
XFLOAT *sa, XFLOAT *sb, BLASLONG dummy){ XFLOAT *sa, XFLOAT *sb, BLASLONG dummy){
BLASLONG k, lda, ldb, ldc; BLASLONG k, lda, ldb, ldc;
#if defined(BUILD_BFLOAT16_ONLY)
float *alpha, *beta;
#else
FLOAT *alpha, *beta; FLOAT *alpha, *beta;
#endif
IFLOAT *a, *b; IFLOAT *a, *b;
FLOAT *c; FLOAT *c;
BLASLONG m_from, m_to, n_from, n_to; BLASLONG m_from, m_to, n_from, n_to;
@@ -224,8 +230,14 @@ int CNAME(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n,
ldb = LDB; ldb = LDB;
ldc = LDC; ldc = LDC;


#if defined(BUILD_BFLOAT16_ONLY)
alpha = (float *)args -> alpha;
beta = (float *)args -> beta;
#else
alpha = (FLOAT *)args -> alpha; alpha = (FLOAT *)args -> alpha;
beta = (FLOAT *)args -> beta; beta = (FLOAT *)args -> beta;
#endif



m_from = 0; m_from = 0;
m_to = M; m_to = M;


+ 10
- 0
driver/level3/level3_thread.c View File

@@ -239,7 +239,11 @@ static int inner_thread(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n,
BLASLONG k, lda, ldb, ldc; BLASLONG k, lda, ldb, ldc;
BLASLONG m_from, m_to, n_from, n_to; BLASLONG m_from, m_to, n_from, n_to;


#if defined(BUILD_BFLOAT16_ONLY)
float *alpha, *beta;
#else
FLOAT *alpha, *beta; FLOAT *alpha, *beta;
#endif
IFLOAT *a, *b; IFLOAT *a, *b;
FLOAT *c; FLOAT *c;
job_t *job = (job_t *)args -> common; job_t *job = (job_t *)args -> common;
@@ -277,8 +281,14 @@ static int inner_thread(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n,
ldb = LDB; ldb = LDB;
ldc = LDC; ldc = LDC;


#if defined(BUILD_BFLOAT16_ONLY)
alpha = (float *)args -> alpha;
beta = (float *)args -> beta;
#else
alpha = (FLOAT *)args -> alpha; alpha = (FLOAT *)args -> alpha;
beta = (FLOAT *)args -> beta; beta = (FLOAT *)args -> beta;
#endif



/* Initialize 2D CPU distribution */ /* Initialize 2D CPU distribution */
nthreads_m = args -> nthreads; nthreads_m = args -> nthreads;


+ 21
- 1
interface/Makefile View File

@@ -53,6 +53,10 @@ SBBLAS3OBJS = sbgemm.$(SUFFIX) sbgemmt.$(SUFFIX) sbgemmtr.$(SUFFIX)
SBEXTOBJS = sbstobf16.$(SUFFIX) sbdtobf16.$(SUFFIX) sbf16tos.$(SUFFIX) dbf16tod.$(SUFFIX) SBEXTOBJS = sbstobf16.$(SUFFIX) sbdtobf16.$(SUFFIX) sbf16tos.$(SUFFIX) dbf16tod.$(SUFFIX)
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY), 1)
BBLAS3OBJ = bgemm.$(SUFFIX)
endif

DBLAS1OBJS = \ DBLAS1OBJS = \
daxpy.$(SUFFIX) dswap.$(SUFFIX) \ daxpy.$(SUFFIX) dswap.$(SUFFIX) \
dcopy.$(SUFFIX) dscal.$(SUFFIX) \ dcopy.$(SUFFIX) dscal.$(SUFFIX) \
@@ -291,6 +295,10 @@ CSBBLAS3OBJS = cblas_sbgemm.$(SUFFIX) cblas_sbgemmt.$(SUFFIX) cblas_sbgemmtr.$(S
CSBEXTOBJS = cblas_sbstobf16.$(SUFFIX) cblas_sbdtobf16.$(SUFFIX) cblas_sbf16tos.$(SUFFIX) cblas_dbf16tod.$(SUFFIX) CSBEXTOBJS = cblas_sbstobf16.$(SUFFIX) cblas_sbdtobf16.$(SUFFIX) cblas_sbf16tos.$(SUFFIX) cblas_dbf16tod.$(SUFFIX)
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY), 1)
CBBLAS3OBJS = cblas_bgemm.$(SUFFIX)
endif

CDBLAS1OBJS = \ CDBLAS1OBJS = \
cblas_idamax.$(SUFFIX) cblas_idamin.$(SUFFIX) cblas_dasum.$(SUFFIX) cblas_daxpy.$(SUFFIX) \ cblas_idamax.$(SUFFIX) cblas_idamin.$(SUFFIX) cblas_dasum.$(SUFFIX) cblas_daxpy.$(SUFFIX) \
cblas_dcopy.$(SUFFIX) cblas_ddot.$(SUFFIX) \ cblas_dcopy.$(SUFFIX) cblas_ddot.$(SUFFIX) \
@@ -388,6 +396,7 @@ SBLAS3OBJS += $(CSBLAS3OBJS)
SBBLAS1OBJS += $(CSBBLAS1OBJS) SBBLAS1OBJS += $(CSBBLAS1OBJS)
SBBLAS2OBJS += $(CSBBLAS2OBJS) SBBLAS2OBJS += $(CSBBLAS2OBJS)
SBBLAS3OBJS += $(CSBBLAS3OBJS) SBBLAS3OBJS += $(CSBBLAS3OBJS)
BBLAS3OBJ += $(CBBLAS3OBJS)
DBLAS1OBJS += $(CDBLAS1OBJS) DBLAS1OBJS += $(CDBLAS1OBJS)
DBLAS2OBJS += $(CDBLAS2OBJS) DBLAS2OBJS += $(CDBLAS2OBJS)
DBLAS3OBJS += $(CDBLAS3OBJS) DBLAS3OBJS += $(CDBLAS3OBJS)
@@ -403,6 +412,7 @@ SBEXTOBJS += $(CSBEXTOBJS)
CBAUXOBJS += $(CXERBLAOBJ) CBAUXOBJS += $(CXERBLAOBJ)
endif endif


BBLASOBJS = $(BBLAS3OBJ)
SBLASOBJS = $(SBLAS1OBJS) $(SBLAS2OBJS) $(SBLAS3OBJS) SBLASOBJS = $(SBLAS1OBJS) $(SBLAS2OBJS) $(SBLAS3OBJS)
SBBLASOBJS = $(SBBLAS1OBJS) $(SBBLAS2OBJS) $(SBBLAS3OBJS) SBBLASOBJS = $(SBBLAS1OBJS) $(SBBLAS2OBJS) $(SBBLAS3OBJS)
DBLASOBJS = $(DBLAS1OBJS) $(DBLAS2OBJS) $(DBLAS3OBJS) DBLASOBJS = $(DBLAS1OBJS) $(DBLAS2OBJS) $(DBLAS3OBJS)
@@ -550,7 +560,7 @@ level1 : $(SBEXTOBJS) $(SBBLAS1OBJS) $(SBLAS1OBJS) $(DBLAS1OBJS) $(QBLAS1OBJS) $
level2 : $(SBBLAS2OBJS) $(SBLAS2OBJS) $(DBLAS2OBJS) $(QBLAS2OBJS) $(CBLAS2OBJS) $(ZBLAS2OBJS) $(XBLAS2OBJS) level2 : $(SBBLAS2OBJS) $(SBLAS2OBJS) $(DBLAS2OBJS) $(QBLAS2OBJS) $(CBLAS2OBJS) $(ZBLAS2OBJS) $(XBLAS2OBJS)
$(AR) $(ARFLAGS) -ru $(TOPDIR)/$(LIBNAME) $^ $(AR) $(ARFLAGS) -ru $(TOPDIR)/$(LIBNAME) $^


level3 : $(SBBLAS3OBJS) $(SBLAS3OBJS) $(DBLAS3OBJS) $(QBLAS3OBJS) $(CBLAS3OBJS) $(ZBLAS3OBJS) $(XBLAS3OBJS)
level3 : $(BBLAS3OBJ) $(SBBLAS3OBJS) $(SBLAS3OBJS) $(DBLAS3OBJS) $(QBLAS3OBJS) $(CBLAS3OBJS) $(ZBLAS3OBJS) $(XBLAS3OBJS)
$(AR) $(ARFLAGS) -ru $(TOPDIR)/$(LIBNAME) $^ $(AR) $(ARFLAGS) -ru $(TOPDIR)/$(LIBNAME) $^


aux : $(CBAUXOBJS) aux : $(CBAUXOBJS)
@@ -1309,6 +1319,11 @@ sbgemmtr.$(SUFFIX) sbgemmtr.$(PSUFFIX) : sbgemmt.c ../param.h
$(CC) -c $(CFLAGS) -DRNAME $< -o $(@F) $(CC) -c $(CFLAGS) -DRNAME $< -o $(@F)
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY), 1)
bgemm.$(SUFFIX) : gemm.c ../param.h
$(CC) -c $(CFLAGS) $< -o $(@F)
endif

sgemm.$(SUFFIX) sgemm.$(PSUFFIX) : gemm.c ../param.h sgemm.$(SUFFIX) sgemm.$(PSUFFIX) : gemm.c ../param.h
$(CC) -c $(CFLAGS) $< -o $(@F) $(CC) -c $(CFLAGS) $< -o $(@F)


@@ -1968,6 +1983,11 @@ cblas_sbgemm.$(SUFFIX) cblas_sbgemm.$(PSUFFIX) : gemm.c ../param.h
$(CC) -DCBLAS -c $(CFLAGS) $< -o $(@F) $(CC) -DCBLAS -c $(CFLAGS) $< -o $(@F)
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY),1)
cblas_bgemm.$(SUFFIX) cblas_bgemm.$(PSUFFIX) : gemm.c ../param.h
$(CC) -DCBLAS -c $(CFLAGS) $< -o $(@F)
endif

cblas_dgemm.$(SUFFIX) cblas_dgemm.$(PSUFFIX) : gemm.c ../param.h cblas_dgemm.$(SUFFIX) cblas_dgemm.$(PSUFFIX) : gemm.c ../param.h
$(CC) -DCBLAS -c $(CFLAGS) $< -o $(@F) $(CC) -DCBLAS -c $(CFLAGS) $< -o $(@F)




+ 18
- 1
interface/gemm.c View File

@@ -250,6 +250,15 @@ static inline int get_gemm_optimal_nthreads(double MNK) {


#ifndef CBLAS #ifndef CBLAS


#ifdef BFLOAT16_ONLY
void NAME(char *TRANSA, char *TRANSB,
blasint *M, blasint *N, blasint *K,
float *alpha,
IFLOAT *a, blasint *ldA,
IFLOAT *b, blasint *ldB,
float *beta,
FLOAT *c, blasint *ldC){
#else
void NAME(char *TRANSA, char *TRANSB, void NAME(char *TRANSA, char *TRANSB,
blasint *M, blasint *N, blasint *K, blasint *M, blasint *N, blasint *K,
FLOAT *alpha, FLOAT *alpha,
@@ -257,7 +266,7 @@ void NAME(char *TRANSA, char *TRANSB,
IFLOAT *b, blasint *ldB, IFLOAT *b, blasint *ldB,
FLOAT *beta, FLOAT *beta,
FLOAT *c, blasint *ldC){ FLOAT *c, blasint *ldC){
#endif
blas_arg_t args; blas_arg_t args;


int transa, transb, nrowa, nrowb; int transa, transb, nrowa, nrowb;
@@ -366,11 +375,19 @@ void NAME(char *TRANSA, char *TRANSB,
void CNAME(enum CBLAS_ORDER order, enum CBLAS_TRANSPOSE TransA, enum CBLAS_TRANSPOSE TransB, void CNAME(enum CBLAS_ORDER order, enum CBLAS_TRANSPOSE TransA, enum CBLAS_TRANSPOSE TransB,
blasint m, blasint n, blasint k, blasint m, blasint n, blasint k,
#ifndef COMPLEX #ifndef COMPLEX
#ifdef BFLOAT16_ONLY
float alpha,
IFLOAT *a, blasint lda,
IFLOAT *b, blasint ldb,
float beta,
FLOAT *c, blasint ldc) {
#else
FLOAT alpha, FLOAT alpha,
IFLOAT *a, blasint lda, IFLOAT *a, blasint lda,
IFLOAT *b, blasint ldb, IFLOAT *b, blasint ldb,
FLOAT beta, FLOAT beta,
FLOAT *c, blasint ldc) { FLOAT *c, blasint ldc) {
#endif
#else #else
void *valpha, void *valpha,
void *va, blasint lda, void *va, blasint lda,


+ 53
- 0
kernel/Makefile.L3 View File

@@ -136,6 +136,25 @@ endif
endif endif
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY), 1)
ifndef BGEMMKERNEL
BGEMM_BETA = ../generic/gemm_beta.c
BGEMMKERNEL = ../generic/gemmkernel_2x2.c
BGEMMINCOPY = ../generic/gemm_ncopy_2.c
BGEMMITCOPY = ../generic/gemm_tcopy_2.c
BGEMMONCOPY = ../generic/gemm_ncopy_2.c
BGEMMOTCOPY = ../generic/gemm_tcopy_2.c
BGEMMINCOPYOBJ = bgemm_incopy$(TSUFFIX).$(SUFFIX)
BGEMMITCOPYOBJ = bgemm_itcopy$(TSUFFIX).$(SUFFIX)
BGEMMONCOPYOBJ = bgemm_oncopy$(TSUFFIX).$(SUFFIX)
BGEMMOTCOPYOBJ = bgemm_otcopy$(TSUFFIX).$(SUFFIX)
endif
BKERNELOBJS += \
bgemm_kernel$(TSUFFIX).$(SUFFIX) \
$(BGEMMINCOPYOBJ) $(BGEMMITCOPYOBJ) \
$(BGEMMONCOPYOBJ) $(BGEMMOTCOPYOBJ)
endif

ifeq ($(BUILD_BFLOAT16), 1) ifeq ($(BUILD_BFLOAT16), 1)
ifndef SBGEMMKERNEL ifndef SBGEMMKERNEL
SBGEMM_BETA = ../generic/gemm_beta.c SBGEMM_BETA = ../generic/gemm_beta.c
@@ -216,6 +235,11 @@ XKERNELOBJS += \
$(XGEMMINCOPYOBJ) $(XGEMMITCOPYOBJ) \ $(XGEMMINCOPYOBJ) $(XGEMMITCOPYOBJ) \
$(XGEMMONCOPYOBJ) $(XGEMMOTCOPYOBJ) $(XGEMMONCOPYOBJ) $(XGEMMOTCOPYOBJ)



ifeq ($(BUILD_BFLOAT16_ONLY), 1)
BBLASOBJS += $(BKERNELOBJS)
endif

ifeq ($(BUILD_BFLOAT16),1) ifeq ($(BUILD_BFLOAT16),1)
SBBLASOBJS += $(SBKERNELOBJS) SBBLASOBJS += $(SBKERNELOBJS)
endif endif
@@ -226,6 +250,10 @@ CBLASOBJS += $(CKERNELOBJS)
ZBLASOBJS += $(ZKERNELOBJS) ZBLASOBJS += $(ZKERNELOBJS)
XBLASOBJS += $(XKERNELOBJS) XBLASOBJS += $(XKERNELOBJS)


ifeq ($(BUILD_BFLOAT16_ONLY), 1)
BBLASOBJS += bgemm_beta$(TSUFFIX).$(SUFFIX)
endif

ifeq ($(BUILD_BFLOAT16),1) ifeq ($(BUILD_BFLOAT16),1)
SBBLASOBJS += sbgemm_beta$(TSUFFIX).$(SUFFIX) SBBLASOBJS += sbgemm_beta$(TSUFFIX).$(SUFFIX)
endif endif
@@ -651,6 +679,11 @@ XGEMMITCOPYOBJ_P = $(XGEMMITCOPYOBJ:.$(SUFFIX)=.$(PSUFFIX))
XGEMMONCOPYOBJ_P = $(XGEMMONCOPYOBJ:.$(SUFFIX)=.$(PSUFFIX)) XGEMMONCOPYOBJ_P = $(XGEMMONCOPYOBJ:.$(SUFFIX)=.$(PSUFFIX))
XGEMMOTCOPYOBJ_P = $(XGEMMOTCOPYOBJ:.$(SUFFIX)=.$(PSUFFIX)) XGEMMOTCOPYOBJ_P = $(XGEMMOTCOPYOBJ:.$(SUFFIX)=.$(PSUFFIX))


ifeq ($(BUILD_BFLOAT16_ONLY),1)
$(KDIR)bgemm_beta$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(BGEMM_BETA)
$(CC) $(CFLAGS) -c -DBFLOAT16_ONLY -UDOUBLE -UCOMPLEX $< -o $@
endif

ifeq ($(BUILD_BFLOAT16),1) ifeq ($(BUILD_BFLOAT16),1)
$(KDIR)sbgemm_beta$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SBGEMM_BETA) $(KDIR)sbgemm_beta$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SBGEMM_BETA)
$(CC) $(CFLAGS) -c -DBFLOAT16 -UDOUBLE -UCOMPLEX $< -o $@ $(CC) $(CFLAGS) -c -DBFLOAT16 -UDOUBLE -UCOMPLEX $< -o $@
@@ -678,6 +711,21 @@ ifeq ($(ARCH), E2K)
USE_TRMM = 1 USE_TRMM = 1
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY), 1)

$(KDIR)$(BGEMMONCOPYOBJ) : $(KERNELDIR)/$(BGEMMONCOPY)
$(CC) $(CFLAGS) -c -DBFLOAT16_ONLY -UDOUBLE -UCOMPLEX $< -o $@

$(KDIR)$(BGEMMOTCOPYOBJ) : $(KERNELDIR)/$(BGEMMOTCOPY)
$(CC) $(CFLAGS) -c -DBFLOAT16_ONLY -UDOUBLE -UCOMPLEX $< -o $@

$(KDIR)$(BGEMMINCOPYOBJ) : $(KERNELDIR)/$(BGEMMINCOPY)
$(CC) $(CFLAGS) -c -DDBFLOAT16_ONLY -UDOUBLE -UCOMPLEX $< -o $@

$(KDIR)$(BGEMMITCOPYOBJ) : $(KERNELDIR)/$(BGEMMITCOPY)
$(CC) $(CFLAGS) -c -DDBFLOAT16_ONLY -UDOUBLE -UCOMPLEX $< -o $@

endif


ifeq ($(BUILD_BFLOAT16), 1) ifeq ($(BUILD_BFLOAT16), 1)


@@ -874,6 +922,11 @@ endif
endif endif
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY), 1)
$(KDIR)bgemm_kernel$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(BGEMMKERNEL)
$(CC) $(CFLAGS) -c -DBFLOAT16_ONLY -UDOUBLE -UCOMPLEX $< -o $@
endif

ifeq ($(BUILD_BFLOAT16), 1) ifeq ($(BUILD_BFLOAT16), 1)


$(KDIR)sbgemm_kernel$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SBGEMMKERNEL) $(SBGEMMDEPEND) $(KDIR)sbgemm_kernel$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SBGEMMKERNEL) $(SBGEMMDEPEND)


+ 1
- 1
kernel/arm64/sbgemm_kernel_4x4_neoversev1.c View File

@@ -35,7 +35,7 @@
#undef ALPHA_ONE #undef ALPHA_ONE
#include "sbgemm_kernel_4x4_neoversev1_impl.c" #include "sbgemm_kernel_4x4_neoversev1_impl.c"


int CNAME(BLASLONG m, BLASLONG n, BLASLONG k, FLOAT alpha, IFLOAT *A, IFLOAT *B,
int CNAME(BLASLONG m, BLASLONG n, BLASLONG k, float alpha, IFLOAT *A, IFLOAT *B,
FLOAT *C, BLASLONG ldc) { FLOAT *C, BLASLONG ldc) {
if (alpha == 1.0f) if (alpha == 1.0f)
return sbgemm_kernel_neoversev1_alpha_one(m, n, k, alpha, A, B, C, ldc); return sbgemm_kernel_neoversev1_alpha_one(m, n, k, alpha, A, B, C, ldc);


+ 2
- 2
kernel/arm64/sbgemm_kernel_4x4_neoversev1_impl.c View File

@@ -78,11 +78,11 @@


#ifdef ALPHA_ONE #ifdef ALPHA_ONE
int sbgemm_kernel_neoversev1_alpha_one(BLASLONG m, BLASLONG n, BLASLONG k, int sbgemm_kernel_neoversev1_alpha_one(BLASLONG m, BLASLONG n, BLASLONG k,
FLOAT alpha, IFLOAT *A, IFLOAT *B,
float alpha, IFLOAT *A, IFLOAT *B,
FLOAT *C, BLASLONG ldc) FLOAT *C, BLASLONG ldc)
#else #else
int sbgemm_kernel_neoversev1_alpha(BLASLONG m, BLASLONG n, BLASLONG k, int sbgemm_kernel_neoversev1_alpha(BLASLONG m, BLASLONG n, BLASLONG k,
FLOAT alpha, IFLOAT *A, IFLOAT *B, FLOAT *C,
float alpha, IFLOAT *A, IFLOAT *B, FLOAT *C,
BLASLONG ldc) BLASLONG ldc)
#endif #endif
{ {


+ 0
- 227
kernel/generic/bgemmkernel_2x2.c View File

@@ -1,227 +0,0 @@
/***************************************************************************
* Copyright (c) 2025, 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"

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;
}

static bfloat16 f32tobfloat16(float f32) {
unsigned short *q = (unsigned short *)(&f32);
#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
return q[0];
#else
return q[1];
#endif
}

#define BF16TOF32(x) (bfloat16tof32(x))
#define F32TOBF16(x) (f32tobfloat16(x))

int CNAME(BLASLONG bm, BLASLONG bn, BLASLONG bk, FLOAT alpha, IFLOAT *ba,
IFLOAT *bb, FLOAT *C, BLASLONG ldc) {
BLASLONG i, j, k;
FLOAT *C0, *C1; // bfloat16
IFLOAT *ptrba, *ptrbb;
float res0, res1, res2, res3;
float load0, load1, load2, load3, load4, load5, load6, load7;

float alpha_ = BF16TOF32(alpha);

for (j = 0; j < bn / 2; j += 1) {
C0 = C;
C1 = C0 + ldc;
ptrba = ba;
for (i = 0; i < bm / 2; i += 1) {
ptrbb = bb;
res0 = 0;
res1 = 0;
res2 = 0;
res3 = 0;
for (k = 0; k < bk / 4; k += 1) {
load0 = BF16TOF32(ptrba[2 * 0 + 0]);
load2 = BF16TOF32(ptrba[2 * 0 + 1]);
load4 = BF16TOF32(ptrba[2 * 1 + 0]);
load6 = BF16TOF32(ptrba[2 * 1 + 1]);

load1 = BF16TOF32(ptrbb[2 * 0 + 0]);
load3 = BF16TOF32(ptrbb[2 * 0 + 1]);
load5 = BF16TOF32(ptrbb[2 * 1 + 0]);
load7 = BF16TOF32(ptrbb[2 * 1 + 1]);

res0 = res0 + load0 * load1;
res1 = res1 + load2 * load1;
res2 = res2 + load0 * load3;
res3 = res3 + load2 * load3;

res0 = res0 + load4 * load5;
res1 = res1 + load6 * load5;
res2 = res2 + load4 * load7;
res3 = res3 + load6 * load7;

load0 = BF16TOF32(ptrba[2 * 2 + 0]);
load2 = BF16TOF32(ptrba[2 * 2 + 1]);
load4 = BF16TOF32(ptrba[2 * 3 + 0]);
load6 = BF16TOF32(ptrba[2 * 3 + 1]);

load1 = BF16TOF32(ptrbb[2 * 2 + 0]);
load3 = BF16TOF32(ptrbb[2 * 2 + 1]);
load5 = BF16TOF32(ptrbb[2 * 3 + 0]);
load7 = BF16TOF32(ptrbb[2 * 3 + 1]);

res0 = res0 + load0 * load1;
res1 = res1 + load2 * load1;
res2 = res2 + load0 * load3;
res3 = res3 + load2 * load3;

res0 = res0 + load4 * load5;
res1 = res1 + load6 * load5;
res2 = res2 + load4 * load7;
res3 = res3 + load6 * load7;
}

for (k = 0; k < (bk & 3); k += 1) {
load0 = BF16TOF32(ptrba[2 * 0 + 0]);
load2 = BF16TOF32(ptrba[2 * 0 + 1]);
load1 = BF16TOF32(ptrbb[2 * 0 + 0]);
load3 = BF16TOF32(ptrbb[2 * 0 + 1]);

res0 = res0 + load0 * load1;
res1 = res1 + load2 * load1;
res2 = res2 + load0 * load3;
res3 = res3 + load2 * load3;

ptrba = ptrba + 2;
ptrbb = ptrbb + 2;
}

res0 = res0 * alpha_ + BF16TOF32(C0[0]);
res1 = res1 * alpha_ + BF16TOF32(C0[1]);
res2 = res2 * alpha_ + BF16TOF32(C1[0]);
res3 = res3 * alpha_ + BF16TOF32(C1[1]);

C0[0] = F32TOBF16(res0);
C0[1] = F32TOBF16(res1);
C1[0] = F32TOBF16(res2);
C1[1] = F32TOBF16(res3);

C0 = C0 + 2;
C1 = C1 + 2;
}

for (i = 0; i < (bm & 1); i += 1) {
ptrbb = bb;
res0 = 0;
res1 = 0;
for (k = 0; k < bk; k += 1) {
load0 = BF16TOF32(ptrba[0 + 0]);
load1 = BF16TOF32(ptrbb[2 * 0 + 0]);
load2 = BF16TOF32(ptrbb[2 * 0 + 1]);

res0 = res0 + load0 * load1;
res1 = res1 + load0 * load2;

ptrba = ptrba + 1;
ptrbb = ptrbb + 2;
}

res0 = res0 * alpha_ + BF16TOF32(C0[0]);
res1 = res1 * alpha_ + BF16TOF32(C1[0]);

C0[0] = res0;
C1[0] = res1;

C0 = C0 + 1;
C1 = C1 + 1;
}

k = (bk << 1);
bb = bb + k;
i = (ldc << 1);
C = C + i;
}

for (j = 0; j < (bn & 1); j += 1) {
C0 = C;
ptrba = ba;
for (i = 0; i < bm / 2; i += 1) {
ptrbb = bb;
res0 = 0;
res1 = 0;
for (k = 0; k < bk; k += 1) {
load0 = BF16TOF32(ptrba[2 * 0 + 0]);
load2 = BF16TOF32(ptrba[2 * 0 + 1]);

load1 = BF16TOF32(ptrbb[0 + 0]);

res0 = res0 + load0 * load1;
res1 = res1 + load2 * load1;

ptrba = ptrba + 2;
ptrbb = ptrbb + 1;
}

res0 = res0 * alpha_ + BF16TOF32(C0[0]);
res1 = res1 * alpha_ + BF16TOF32(C0[1]);

C0[0] = F32TOBF16(res0);
C0[1] = F32TOBF16(res1);
C0 = C0 + 2;
}

for (i = 0; i < (bm & 1); i += 1) {
ptrbb = bb;
res0 = 0;
for (k = 0; k < bk; k += 1) {
load0 = BF16TOF32(ptrba[0 + 0]);
load1 = BF16TOF32(ptrbb[0 + 0]);
res0 += load0 * load1;
ptrba = ptrba + 1;
ptrbb = ptrbb + 1;
}

res0 = res0 * alpha_ + BF16TOF32(C0[0]);
C0[0] = F32TOBF16(res0);
C0 = C0 + 1;
}

k = (bk << 0);
bb = bb + k;
C = C + ldc;
}

return 0;
}

+ 16
- 13
kernel/generic/gemm_beta.c View File

@@ -71,11 +71,15 @@ f32tobfloat16(float f32)
#define F32TOBF16(x) x #define F32TOBF16(x) x
#endif #endif


int CNAME(BLASLONG m, BLASLONG n, BLASLONG dummy1, FLOAT beta_in,
#if defined(BFLOAT16_ONLY)
int CNAME(BLASLONG m, BLASLONG n, BLASLONG dummy1, float beta,
IFLOAT *dummy2, BLASLONG dummy3, IFLOAT *dummy4, BLASLONG dummy5, IFLOAT *dummy2, BLASLONG dummy3, IFLOAT *dummy4, BLASLONG dummy5,
FLOAT *c, BLASLONG ldc){ FLOAT *c, BLASLONG ldc){

#else
int CNAME(BLASLONG m, BLASLONG n, BLASLONG dummy1, FLOAT beta,
IFLOAT *dummy2, BLASLONG dummy3, IFLOAT *dummy4, BLASLONG dummy5,
FLOAT *c, BLASLONG ldc){
#endif


BLASLONG i, j; BLASLONG i, j;
BLASLONG chunk, remain; BLASLONG chunk, remain;
@@ -83,25 +87,24 @@ int CNAME(BLASLONG m, BLASLONG n, BLASLONG dummy1, FLOAT beta_in,
c_offset = c; c_offset = c;
chunk = m >> 3; chunk = m >> 3;
remain = m & 7; remain = m & 7;
float beta = BF16TOF32(beta_in);


if (beta == ZERO){ if (beta == ZERO){
for(j=n; j>0; j--){ for(j=n; j>0; j--){
c_offset1 = c_offset; c_offset1 = c_offset;
c_offset += ldc; c_offset += ldc;
for(i=chunk; i>0; i--){ for(i=chunk; i>0; i--){
*(c_offset1 + 0) = ZERO;
*(c_offset1 + 1) = ZERO;
*(c_offset1 + 2) = ZERO;
*(c_offset1 + 3) = ZERO;
*(c_offset1 + 4) = ZERO;
*(c_offset1 + 5) = ZERO;
*(c_offset1 + 6) = ZERO;
*(c_offset1 + 7) = ZERO;
*(c_offset1 + 0) = F32TOBF16(ZERO);
*(c_offset1 + 1) = F32TOBF16(ZERO);
*(c_offset1 + 2) = F32TOBF16(ZERO);
*(c_offset1 + 3) = F32TOBF16(ZERO);
*(c_offset1 + 4) = F32TOBF16(ZERO);
*(c_offset1 + 5) = F32TOBF16(ZERO);
*(c_offset1 + 6) = F32TOBF16(ZERO);
*(c_offset1 + 7) = F32TOBF16(ZERO);
c_offset1 += 8; c_offset1 += 8;
} }
for(i=remain; i>0; i--){ for(i=remain; i>0; i--){
*c_offset1 = ZERO;
*c_offset1 = F32TOBF16(ZERO);
c_offset1 ++; c_offset1 ++;
} }
} }


+ 64
- 11
kernel/generic/gemmkernel_2x2.c View File

@@ -1,5 +1,32 @@
/***************************************************************************
Copyright (c) 2025 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 "common.h"
#if defined(BFLOAT16) && defined(BFLOAT16CONVERSION)
#if (defined(BFLOAT16) || defined(BFLOAT16_ONLY))&& defined(BFLOAT16CONVERSION)
static float static float
bfloat16tof32 (bfloat16 f16) bfloat16tof32 (bfloat16 f16)
{ {
@@ -12,12 +39,29 @@ bfloat16tof32 (bfloat16 f16)
#endif #endif
return result; return result;
} }

static bfloat16 f32tobfloat16(float f32) {
unsigned short *q = (unsigned short *)(&f32);
#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
return q[0];
#else
return q[1];
#endif
}

#define BF16TOF32(x) (bfloat16tof32(x)) #define BF16TOF32(x) (bfloat16tof32(x))
#define F32TOBF16(x) (f32tobfloat16(x))
#else #else
#define BF16TOF32(x) x #define BF16TOF32(x) x
#define F32TOBF16(x) x
#endif #endif

#ifdef BFLOAT16_ONLY
int CNAME(BLASLONG bm,BLASLONG bn,BLASLONG bk, float alpha,IFLOAT* ba,IFLOAT* bb,FLOAT* C,BLASLONG ldc
#else
int CNAME(BLASLONG bm,BLASLONG bn,BLASLONG bk,FLOAT alpha,IFLOAT* ba,IFLOAT* bb,FLOAT* C,BLASLONG ldc int CNAME(BLASLONG bm,BLASLONG bn,BLASLONG bk,FLOAT alpha,IFLOAT* ba,IFLOAT* bb,FLOAT* C,BLASLONG ldc
#ifdef TRMMKERNEL
#endif
#ifdef TRMMKERNEL
,BLASLONG offset ,BLASLONG offset
#endif #endif
) )
@@ -90,13 +134,17 @@ int CNAME(BLASLONG bm,BLASLONG bn,BLASLONG bk,FLOAT alpha,IFLOAT* ba,IFLOAT* bb,
ptrbb = ptrbb+2; ptrbb = ptrbb+2;
} }
res0 = res0*alpha; res0 = res0*alpha;
C0[0] = C0[0]+res0;
C0[0] = F32TOBF16(BF16TOF32(C0[0])+res0);
//printf("i = %d, j = %d, r = %.2f\n", i, j , BF16TOF32(C0[0]));
res1 = res1*alpha; res1 = res1*alpha;
C0[1] = C0[1]+res1;
C0[1] = F32TOBF16(BF16TOF32(C0[1])+res1);
//printf("i = %d, j = %d, r = %.2f\n", i, j , BF16TOF32(C0[1]));
res2 = res2*alpha; res2 = res2*alpha;
C1[0] = C1[0]+res2;
C1[0] = F32TOBF16(BF16TOF32(C1[0])+res2);
//printf("i = %d, j = %d, r = %.2f\n", i, j , BF16TOF32(C1[0]));
res3 = res3*alpha; res3 = res3*alpha;
C1[1] = C1[1]+res3;
C1[1] = F32TOBF16(BF16TOF32(C1[1])+res3);
//printf("i = %d, j = %d, r = %.2f\n", i, j , BF16TOF32(C1[1]));
C0 = C0+2; C0 = C0+2;
C1 = C1+2; C1 = C1+2;
} }
@@ -116,9 +164,11 @@ int CNAME(BLASLONG bm,BLASLONG bn,BLASLONG bk,FLOAT alpha,IFLOAT* ba,IFLOAT* bb,
ptrbb = ptrbb+2; ptrbb = ptrbb+2;
} }
res0 = res0*alpha; res0 = res0*alpha;
C0[0] = C0[0]+res0;
C0[0] = F32TOBF16(BF16TOF32(C0[0])+res0);
//printf("i = %d, j = %d, r = %.2f\n", i, j , BF16TOF32(C0[0]));
res1 = res1*alpha; res1 = res1*alpha;
C1[0] = C1[0]+res1;
C1[0] = F32TOBF16(BF16TOF32(C1[1])+res1);
//printf("i = %d, j = %d, r = %.2f\n", i, j , BF16TOF32(C1[0]));
C0 = C0+1; C0 = C0+1;
C1 = C1+1; C1 = C1+1;
} }
@@ -147,9 +197,11 @@ int CNAME(BLASLONG bm,BLASLONG bn,BLASLONG bk,FLOAT alpha,IFLOAT* ba,IFLOAT* bb,
ptrbb = ptrbb+1; ptrbb = ptrbb+1;
} }
res0 = res0*alpha; res0 = res0*alpha;
C0[0] = C0[0]+res0;
C0[0] = F32TOBF16(BF16TOF32(C0[0])+res0);
//printf("i = %d, j = %d, r = %.2f\n", i, j , BF16TOF32(C0[0]));
res1 = res1*alpha; res1 = res1*alpha;
C0[1] = C0[1]+res1;
C0[1] = F32TOBF16(BF16TOF32(C0[1])+res1);
//printf("i = %d, j = %d, r = %.2f\n", i, j , BF16TOF32(C0[1]));
C0 = C0+2; C0 = C0+2;
} }
for (i=0; i<(bm&1); i+=1) for (i=0; i<(bm&1); i+=1)
@@ -165,7 +217,8 @@ int CNAME(BLASLONG bm,BLASLONG bn,BLASLONG bk,FLOAT alpha,IFLOAT* ba,IFLOAT* bb,
ptrbb = ptrbb+1; ptrbb = ptrbb+1;
} }
res0 = res0*alpha; res0 = res0*alpha;
C0[0] = C0[0]+res0;
C0[0] = F32TOBF16(BF16TOF32(C0[0])+res0);
//printf("i = %d, j = %d, r = %.2f\n", i, j , BF16TOF32(C0[0]));
C0 = C0+1; C0 = C0+1;
} }
k = (bk<<0); k = (bk<<0);


+ 42
- 2
test/Makefile View File

@@ -1,3 +1,31 @@
###############################################################################
# Copyright (c) 2025, 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.
###############################################################################
TOPDIR = .. TOPDIR = ..
include ../Makefile.system include ../Makefile.system
ifeq ($(F_COMPILER),GFORTRAN) ifeq ($(F_COMPILER),GFORTRAN)
@@ -164,6 +192,9 @@ endif
endif endif
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY),1)
BF3= test_bgemm
endif
ifeq ($(BUILD_BFLOAT16),1) ifeq ($(BUILD_BFLOAT16),1)
B3= test_sbgemm B3= test_sbgemm
endif endif
@@ -192,11 +223,15 @@ endif
ifeq ($(SUPPORT_GEMM3M),1) ifeq ($(SUPPORT_GEMM3M),1)
level3: $(B3) $(S3) $(D3) $(C3) $(Z3) level3_3m level3: $(B3) $(S3) $(D3) $(C3) $(Z3) level3_3m
else else
level3: $(B3) $(S3) $(D3) $(C3) $(Z3)
level3: $(BF3) $(B3) $(S3) $(D3) $(C3) $(Z3)
endif endif


ifneq ($(CROSS), 1) ifneq ($(CROSS), 1)
rm -f ?BLAT3.SUMM rm -f ?BLAT3.SUMM
ifeq ($(BUILD_BFLOAT16_ONLY),1)
OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 ./test_bgemm > BBLAT3.SUMM
@$(GREP) -q FATAL SBBLAT3.SUMM && cat BBLAT3.SUMM || exit 0
endif
ifeq ($(BUILD_BFLOAT16),1) ifeq ($(BUILD_BFLOAT16),1)
OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 ./test_sbgemm > SBBLAT3.SUMM OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 ./test_sbgemm > SBBLAT3.SUMM
@$(GREP) -q FATAL SBBLAT3.SUMM && cat SBBLAT3.SUMM || exit 0 @$(GREP) -q FATAL SBBLAT3.SUMM && cat SBBLAT3.SUMM || exit 0
@@ -366,6 +401,11 @@ zblat3 : zblat3.$(SUFFIX) ../$(LIBNAME)
$(FC) $(FLDFLAGS) -o zblat3 zblat3.$(SUFFIX) ../$(LIBNAME) $(EXTRALIB) $(CEXTRALIB) $(FC) $(FLDFLAGS) -o zblat3 zblat3.$(SUFFIX) ../$(LIBNAME) $(EXTRALIB) $(CEXTRALIB)
endif endif


ifeq ($(BUILD_BFLOAT16_ONLY),1)
test_bgemm : compare_sgemm_bgemm.c ../$(LIBNAME)
$(CC) $(CLDFLAGS) -o test_bgemm compare_sgemm_bgemm.c ../$(LIBNAME) $(EXTRALIB) $(CEXTRALIB)
endif

ifeq ($(BUILD_BFLOAT16),1) ifeq ($(BUILD_BFLOAT16),1)
test_sbgemm : compare_sgemm_sbgemm.c ../$(LIBNAME) test_sbgemm : compare_sgemm_sbgemm.c ../$(LIBNAME)
$(CC) $(CLDFLAGS) -o test_sbgemm compare_sgemm_sbgemm.c ../$(LIBNAME) $(EXTRALIB) $(CEXTRALIB) $(CC) $(CLDFLAGS) -o test_sbgemm compare_sgemm_sbgemm.c ../$(LIBNAME) $(EXTRALIB) $(CEXTRALIB)
@@ -387,7 +427,7 @@ clean:
@rm -f *.$(SUFFIX) *.$(PSUFFIX) gmon.$(SUFFIX)ut *.SUMM *.cxml *.exe *.pdb *.dwf \ @rm -f *.$(SUFFIX) *.$(PSUFFIX) gmon.$(SUFFIX)ut *.SUMM *.cxml *.exe *.pdb *.dwf \
sblat1 dblat1 cblat1 zblat1 \ sblat1 dblat1 cblat1 zblat1 \
sblat2 dblat2 cblat2 zblat2 \ sblat2 dblat2 cblat2 zblat2 \
test_sbgemm sblat3 dblat3 cblat3 zblat3 \
test_bgemm test_sbgemm sblat3 dblat3 cblat3 zblat3 \
sblat1p dblat1p cblat1p zblat1p \ sblat1p dblat1p cblat1p zblat1p \
sblat2p dblat2p cblat2p zblat2p \ sblat2p dblat2p cblat2p zblat2p \
sblat3p dblat3p cblat3p zblat3p \ sblat3p dblat3p cblat3p zblat3p \


+ 58
- 10
test/compare_sgemm_bgemm.c View File

@@ -57,10 +57,8 @@ int main(int argc, char *argv[]) {
char transA = 'N', transB = 'N'; char transA = 'N', transB = 'N';


float alpha = 1.0, beta = 0.0; float alpha = 1.0, beta = 0.0;
bfloat16 alpha_bf16 = convert_to_bf16(alpha),
beta_bf16 = convert_to_bf16(beta);


for (x = 1; x <= BGEMM_LARGEST; x++) {
for (x = 1; x <= loop; x++) {
if ((x > 100) && (x != BGEMM_LARGEST)) if ((x > 100) && (x != BGEMM_LARGEST))
continue; continue;
m = k = n = x; m = k = n = x;
@@ -79,14 +77,14 @@ int main(int argc, char *argv[]) {


for (int i = 0; i < m; i++) { for (int i = 0; i < m; i++) {
for (int j = 0; j < k; j++) { for (int j = 0; j < k; j++) {
AA[i * k + j] = (i * k + j + 1) % 100;
AA[i * k + j] = (i * k + j + 1) % 5;
A[i * k + j] = AA[i * k + j]; A[i * k + j] = AA[i * k + j];
} }
} }


for (int i = 0; i < n; i++) { for (int i = 0; i < n; i++) {
for (int j = 0; j < k; j++) { for (int j = 0; j < k; j++) {
BB[i * k + j] = (i * k + j + 1) % 100;
BB[i * k + j] = (i * k + j + 1) % 5;
B[i * k + j] = BB[i * k + j]; B[i * k + j] = BB[i * k + j];
} }
} }
@@ -102,23 +100,73 @@ int main(int argc, char *argv[]) {
} else { } else {
transB = 'T'; transB = 'T';
} }
// printf("******** x = %d, y = %d********\n", x, y);
// printf("Matrix AA (m x k):\n");
// for (int i = 0; i < m; i++) {
// for (int j = 0; j < k; j++) {
// printf("%.2f ", (float)AA[i * k + j]); // or %4.1f if float
// }
// printf("\n");
// }

// printf("Matrix A (copy of AA):\n");
// for (int i = 0; i < m; i++) {
// for (int j = 0; j < k; j++) {
// printf("%.2f ", A[i * k + j]);
// }
// printf("\n");
// }

// printf("Matrix BB (n x k):\n");
// for (int i = 0; i < n; i++) {
// for (int j = 0; j < k; j++) {
// printf("%.2f ", (float)BB[i * k + j]);
// }
// printf("\n");
// }

// printf("Matrix B (copy of BB):\n");
// for (int i = 0; i < n; i++) {
// for (int j = 0; j < k; j++) {
// printf("%.2f ", B[i * k + j]);
// }
// printf("\n");
// }


memset(C, 0, m * n * sizeof(FLOAT)); memset(C, 0, m * n * sizeof(FLOAT));
memset(CC, 0, m * n * sizeof(bfloat16)); memset(CC, 0, m * n * sizeof(bfloat16));
SGEMM(&transA, &transB, &m, &n, &k, &alpha_bf16, A, &m, B, &k, &beta_bf16,
SGEMM(&transA, &transB, &m, &n, &k, &alpha, A, &m, B, &k, &beta,
C, &m); C, &m);
BGEMM(&transA, &transB, &m, &n, &k, &alpha, (bfloat16 *)AA, &m, BGEMM(&transA, &transB, &m, &n, &k, &alpha, (bfloat16 *)AA, &m,
(bfloat16 *)BB, &k, &beta, (bfloat16 *)CC, &m); (bfloat16 *)BB, &k, &beta, (bfloat16 *)CC, &m);

// printf("Matrix CC (n x m):\n");
// for (int i = 0; i < n; i++) {
// for (int j = 0; j < m; j++) {
// printf("%.2f ", (float)CC[i * m + j]);
// }
// printf("\n");
// }

// printf("Matrix C :\n");
// for (int i = 0; i < n; i++) {
// for (int j = 0; j < k; j++) {
// printf("%.2f ", C[i * k + j]);
// }
// printf("\n");
// }


for (i = 0; i < n; i++) { for (i = 0; i < n; i++) {
for (j = 0; j < m; j++) { for (j = 0; j < m; j++) {
for (l = 0; l < k; l++) {
if (fabs(CC[i * m + j] - C[i * m + j]) > 1.0) {
ret++;
if (fabs((float)CC[i * m + j] - C[i * m + j]) > 1.0) {
ret ++;
} }
}
} }
} }

printf("x = %d, err = %d\n", x, ret);
ret = 0;
} }


free(A); free(A);


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