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Merge pull request #3335 from guowangy/small-matrix-latest

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Add GEMM optimization for small matrix and single/double kernel for skylakex
This commit is contained in:
Martin Kroeker
2021-08-29 22:33:33 +02:00
committed by GitHub
parent 6bb1805ed6 f9dba63c28
commit bec9d9f63d
34 changed files with 5665 additions and 0 deletions
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110
kernel/CMakeLists.txt
View File

@@ -458,7 +458,117 @@ function (build_core TARGET_CORE KDIR TSUFFIX KERNEL_DEFINITIONS)
GenerateNamedObjects("${KERNELDIR}/${${float_char}TRSMKERNEL_RN}" "UPPER;RN;TRSMKERNEL" "trsm_kernel_RN" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}TRSMKERNEL_RT}" "RT;TRSMKERNEL" "trsm_kernel_RT" false "" "" false ${float_type})
if (NOT DEFINED ${float_char}GEMM_SMALL_M_PERMIT)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
set(${float_char}GEMM_SMALL_M_PERMIT ../generic/zgemm_small_matrix_permit.c)
else ()
set(${float_char}GEMM_SMALL_M_PERMIT ../generic/gemm_small_matrix_permit.c)
endif ()
endif ()
if (NOT DEFINED ${float_char}GEMM_SMALL_K_NN)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
set(${float_char}GEMM_SMALL_K_NN ../generic/zgemm_small_matrix_kernel_nn.c)
else ()
set(${float_char}GEMM_SMALL_K_NN ../generic/gemm_small_matrix_kernel_nn.c)
endif ()
endif ()
if (NOT DEFINED ${float_char}GEMM_SMALL_K_NT)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
set(${float_char}GEMM_SMALL_K_NT ../generic/zgemm_small_matrix_kernel_nt.c)
else ()
set(${float_char}GEMM_SMALL_K_NT ../generic/gemm_small_matrix_kernel_nt.c)
endif ()
endif ()
if (NOT DEFINED ${float_char}GEMM_SMALL_K_TN)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
set(${float_char}GEMM_SMALL_K_TN ../generic/zgemm_small_matrix_kernel_tn.c)
else ()
set(${float_char}GEMM_SMALL_K_TN ../generic/gemm_small_matrix_kernel_tn.c)
endif ()
endif ()
if (NOT DEFINED ${float_char}GEMM_SMALL_K_TT)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
set(${float_char}GEMM_SMALL_K_TT ../generic/zgemm_small_matrix_kernel_tt.c)
else ()
set(${float_char}GEMM_SMALL_K_TT ../generic/gemm_small_matrix_kernel_tt.c)
endif ()
endif ()
if (NOT DEFINED ${float_char}GEMM_SMALL_K_B0_NN)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
set(${float_char}GEMM_SMALL_K_B0_NN ../generic/zgemm_small_matrix_kernel_nn.c)
else ()
set(${float_char}GEMM_SMALL_K_B0_NN ../generic/gemm_small_matrix_kernel_nn.c)
endif ()
endif ()
if (NOT DEFINED ${float_char}GEMM_SMALL_K_B0_NT)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
set(${float_char}GEMM_SMALL_K_B0_NT ../generic/zgemm_small_matrix_kernel_nt.c)
else ()
set(${float_char}GEMM_SMALL_K_B0_NT ../generic/gemm_small_matrix_kernel_nt.c)
endif ()
endif ()
if (NOT DEFINED ${float_char}GEMM_SMALL_K_B0_TN)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
set(${float_char}GEMM_SMALL_K_B0_TN ../generic/zgemm_small_matrix_kernel_tn.c)
else ()
set(${float_char}GEMM_SMALL_K_B0_TN ../generic/gemm_small_matrix_kernel_tn.c)
endif ()
endif ()
if (NOT DEFINED ${float_char}GEMM_SMALL_K_B0_TT)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
set(${float_char}GEMM_SMALL_K_B0_TT ../generic/zgemm_small_matrix_kernel_tt.c)
else ()
set(${float_char}GEMM_SMALL_K_B0_TT ../generic/gemm_small_matrix_kernel_tt.c)
endif ()
endif ()
if (SMALL_MATRIX_OPT)
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_M_PERMIT}" "" "gemm_small_matrix_permit" false "" "" false ${float_type})
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NN}" "NN" "gemm_small_kernel_nn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NN}" "NR" "gemm_small_kernel_nr" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NN}" "RN" "gemm_small_kernel_rn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NN}" "RR" "gemm_small_kernel_rr" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NT}" "NT" "gemm_small_kernel_nt" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NT}" "NC" "gemm_small_kernel_nc" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NT}" "RT" "gemm_small_kernel_rt" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NT}" "RC" "gemm_small_kernel_rc" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_TN}" "TN" "gemm_small_kernel_tn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_TN}" "TR" "gemm_small_kernel_tr" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_TN}" "CN" "gemm_small_kernel_cn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_TN}" "CR" "gemm_small_kernel_cr" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_TT}" "TT" "gemm_small_kernel_tt" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_TT}" "TC" "gemm_small_kernel_tc" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_TT}" "CT" "gemm_small_kernel_ct" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_TT}" "CC" "gemm_small_kernel_cc" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NN}" "NN;B0" "gemm_small_kernel_b0_nn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NN}" "NR;B0" "gemm_small_kernel_b0_nr" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NN}" "RN;B0" "gemm_small_kernel_b0_rn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NN}" "RR;B0" "gemm_small_kernel_b0_rr" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NT}" "NT;B0" "gemm_small_kernel_b0_nt" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NT}" "NC;B0" "gemm_small_kernel_b0_nc" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NT}" "RT;B0" "gemm_small_kernel_b0_rt" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NT}" "RC;B0" "gemm_small_kernel_b0_rc" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_TN}" "TN;B0" "gemm_small_kernel_b0_tn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_TN}" "TR;B0" "gemm_small_kernel_b0_tr" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_TN}" "CN;B0" "gemm_small_kernel_b0_cn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_TN}" "CR;B0" "gemm_small_kernel_b0_cr" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_TT}" "TT;B0" "gemm_small_kernel_b0_tt" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_TT}" "TC;B0" "gemm_small_kernel_b0_tc" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_TT}" "CT;B0" "gemm_small_kernel_b0_ct" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_TT}" "CC;B0" "gemm_small_kernel_b0_cc" false "" "" false ${float_type})
else ()
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NN}" "" "gemm_small_kernel_nn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NT}" "" "gemm_small_kernel_nt" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_TN}" "" "gemm_small_kernel_tn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_NT}" "" "gemm_small_kernel_tt" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NN}" "B0" "gemm_small_kernel_b0_nn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NT}" "B0" "gemm_small_kernel_b0_nt" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_TN}" "B0" "gemm_small_kernel_b0_tn" false "" "" false ${float_type})
GenerateNamedObjects("${KERNELDIR}/${${float_char}GEMM_SMALL_K_B0_NT}" "B0" "gemm_small_kernel_b0_tt" false "" "" false ${float_type})
endif ()
endif ()
if (NOT DEFINED ${float_char}OMATCOPY_CN)
if (${float_char} STREQUAL "Z" OR ${float_char} STREQUAL "C")

457
kernel/Makefile.L3
View File

@@ -447,6 +447,63 @@ XBLASOBJS += \
endif
###### BLAS small matrix optimization #####
ifeq ($(SMALL_MATRIX_OPT), 1)
SBLASOBJS += \
sgemm_small_matrix_permit$(TSUFFIX).$(SUFFIX) \
sgemm_small_kernel_nn$(TSUFFIX).$(SUFFIX) sgemm_small_kernel_nt$(TSUFFIX).$(SUFFIX) \
sgemm_small_kernel_tn$(TSUFFIX).$(SUFFIX) sgemm_small_kernel_tt$(TSUFFIX).$(SUFFIX) \
sgemm_small_kernel_b0_nn$(TSUFFIX).$(SUFFIX) sgemm_small_kernel_b0_nt$(TSUFFIX).$(SUFFIX) \
sgemm_small_kernel_b0_tn$(TSUFFIX).$(SUFFIX) sgemm_small_kernel_b0_tt$(TSUFFIX).$(SUFFIX)
DBLASOBJS += \
dgemm_small_matrix_permit$(TSUFFIX).$(SUFFIX) \
dgemm_small_kernel_nn$(TSUFFIX).$(SUFFIX) dgemm_small_kernel_nt$(TSUFFIX).$(SUFFIX) \
dgemm_small_kernel_tn$(TSUFFIX).$(SUFFIX) dgemm_small_kernel_tt$(TSUFFIX).$(SUFFIX) \
dgemm_small_kernel_b0_nn$(TSUFFIX).$(SUFFIX) dgemm_small_kernel_b0_nt$(TSUFFIX).$(SUFFIX) \
dgemm_small_kernel_b0_tn$(TSUFFIX).$(SUFFIX) dgemm_small_kernel_b0_tt$(TSUFFIX).$(SUFFIX)
CBLASOBJS += \
cgemm_small_matrix_permit$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_nn$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_nt$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_nr$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_nc$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_tn$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_tt$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_tr$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_tc$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_rn$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_rt$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_rr$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_rc$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_cn$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_ct$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_cr$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_cc$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_b0_nn$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_b0_nt$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_b0_nr$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_b0_nc$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_b0_tn$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_b0_tt$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_b0_tr$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_b0_tc$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_b0_rn$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_b0_rt$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_b0_rr$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_b0_rc$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_b0_cn$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_b0_ct$(TSUFFIX).$(SUFFIX) \
cgemm_small_kernel_b0_cr$(TSUFFIX).$(SUFFIX) cgemm_small_kernel_b0_cc$(TSUFFIX).$(SUFFIX)
ZBLASOBJS += \
zgemm_small_matrix_permit$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_nn$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_nt$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_nr$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_nc$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_tn$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_tt$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_tr$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_tc$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_rn$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_rt$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_rr$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_rc$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_cn$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_ct$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_cr$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_cc$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_b0_nn$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_b0_nt$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_b0_nr$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_b0_nc$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_b0_tn$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_b0_tt$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_b0_tr$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_b0_tc$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_b0_rn$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_b0_rt$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_b0_rr$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_b0_rc$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_b0_cn$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_b0_ct$(TSUFFIX).$(SUFFIX) \
zgemm_small_kernel_b0_cr$(TSUFFIX).$(SUFFIX) zgemm_small_kernel_b0_cc$(TSUFFIX).$(SUFFIX)
endif
###### BLAS extensions #####
ifeq ($(BUILD_SINGLE),1)
@@ -4237,3 +4294,403 @@ endif
$(KDIR)zgeadd_k$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEADD_K)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -UROWM $< -o $@
###### BLAS small matrix optimization #####
ifndef DGEMM_SMALL_M_PERMIT
DGEMM_SMALL_M_PERMIT = ../generic/gemm_small_matrix_permit.c
endif
ifndef DGEMM_SMALL_K_NN
DGEMM_SMALL_K_NN = ../generic/gemm_small_matrix_kernel_nn.c
endif
ifndef DGEMM_SMALL_K_NT
DGEMM_SMALL_K_NT = ../generic/gemm_small_matrix_kernel_nt.c
endif
ifndef DGEMM_SMALL_K_TN
DGEMM_SMALL_K_TN = ../generic/gemm_small_matrix_kernel_tn.c
endif
ifndef DGEMM_SMALL_K_TT
DGEMM_SMALL_K_TT = ../generic/gemm_small_matrix_kernel_tt.c
endif
$(KDIR)dgemm_small_matrix_permit$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(DGEMM_SMALL_M_PERMIT)
$(CC) $(CFLAGS) -c -DDOUBLE -UCOMPLEX $< -o $@
$(KDIR)dgemm_small_kernel_nn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(DGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -UCOMPLEX $< -o $@
$(KDIR)dgemm_small_kernel_nt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(DGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -UCOMPLEX $< -o $@
$(KDIR)dgemm_small_kernel_tn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(DGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -UCOMPLEX $< -o $@
$(KDIR)dgemm_small_kernel_tt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(DGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -UCOMPLEX $< -o $@
ifndef DGEMM_SMALL_K_B0_NN
DGEMM_SMALL_K_B0_NN = ../generic/gemm_small_matrix_kernel_nn.c
endif
ifndef DGEMM_SMALL_K_B0_NT
DGEMM_SMALL_K_B0_NT = ../generic/gemm_small_matrix_kernel_nt.c
endif
ifndef DGEMM_SMALL_K_B0_TN
DGEMM_SMALL_K_B0_TN = ../generic/gemm_small_matrix_kernel_tn.c
endif
ifndef DGEMM_SMALL_K_B0_TT
DGEMM_SMALL_K_B0_TT = ../generic/gemm_small_matrix_kernel_tt.c
endif
$(KDIR)dgemm_small_kernel_b0_nn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(DGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -UCOMPLEX -DB0 $< -o $@
$(KDIR)dgemm_small_kernel_b0_nt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(DGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -UCOMPLEX -DB0 $< -o $@
$(KDIR)dgemm_small_kernel_b0_tn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(DGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -UCOMPLEX -DB0 $< -o $@
$(KDIR)dgemm_small_kernel_b0_tt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(DGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -UCOMPLEX -DB0 $< -o $@
ifndef SGEMM_SMALL_M_PERMIT
SGEMM_SMALL_M_PERMIT = ../generic/gemm_small_matrix_permit.c
endif
ifndef SGEMM_SMALL_K_NN
SGEMM_SMALL_K_NN = ../generic/gemm_small_matrix_kernel_nn.c
endif
ifndef SGEMM_SMALL_K_NT
SGEMM_SMALL_K_NT = ../generic/gemm_small_matrix_kernel_nt.c
endif
ifndef SGEMM_SMALL_K_TN
SGEMM_SMALL_K_TN = ../generic/gemm_small_matrix_kernel_tn.c
endif
ifndef SGEMM_SMALL_K_TT
SGEMM_SMALL_K_TT = ../generic/gemm_small_matrix_kernel_tt.c
endif
$(KDIR)sgemm_small_matrix_permit$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SGEMM_SMALL_M_PERMIT)
$(CC) $(CFLAGS) -c -UDOUBLE -UCOMPLEX $< -o $@
$(KDIR)sgemm_small_kernel_nn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -UCOMPLEX $< -o $@
$(KDIR)sgemm_small_kernel_nt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -UCOMPLEX $< -o $@
$(KDIR)sgemm_small_kernel_tn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -UCOMPLEX $< -o $@
$(KDIR)sgemm_small_kernel_tt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -UCOMPLEX $< -o $@
ifndef SGEMM_SMALL_K_B0_NN
SGEMM_SMALL_K_B0_NN = ../generic/gemm_small_matrix_kernel_nn.c
endif
ifndef SGEMM_SMALL_K_B0_NT
SGEMM_SMALL_K_B0_NT = ../generic/gemm_small_matrix_kernel_nt.c
endif
ifndef SGEMM_SMALL_K_B0_TN
SGEMM_SMALL_K_B0_TN = ../generic/gemm_small_matrix_kernel_tn.c
endif
ifndef SGEMM_SMALL_K_B0_TT
SGEMM_SMALL_K_B0_TT = ../generic/gemm_small_matrix_kernel_tt.c
endif
$(KDIR)sgemm_small_kernel_b0_nn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -UCOMPLEX -DB0 $< -o $@
$(KDIR)sgemm_small_kernel_b0_nt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -UCOMPLEX -DB0 $< -o $@
$(KDIR)sgemm_small_kernel_b0_tn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -UCOMPLEX -DB0 $< -o $@
$(KDIR)sgemm_small_kernel_b0_tt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(SGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -UCOMPLEX -DB0 $< -o $@
ifndef CGEMM_SMALL_M_PERMIT
CGEMM_SMALL_M_PERMIT = ../generic/zgemm_small_matrix_permit.c
endif
ifndef CGEMM_SMALL_K_NN
CGEMM_SMALL_K_NN = ../generic/zgemm_small_matrix_kernel_nn.c
endif
ifndef CGEMM_SMALL_K_NT
CGEMM_SMALL_K_NT = ../generic/zgemm_small_matrix_kernel_nt.c
endif
ifndef CGEMM_SMALL_K_TN
CGEMM_SMALL_K_TN = ../generic/zgemm_small_matrix_kernel_tn.c
endif
ifndef CGEMM_SMALL_K_TT
CGEMM_SMALL_K_TT = ../generic/zgemm_small_matrix_kernel_tt.c
endif
$(KDIR)cgemm_small_matrix_permit$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_M_PERMIT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX $< -o $@
$(KDIR)cgemm_small_kernel_nn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DNN $< -o $@
$(KDIR)cgemm_small_kernel_nr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DNR $< -o $@
$(KDIR)cgemm_small_kernel_rn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DRN $< -o $@
$(KDIR)cgemm_small_kernel_rr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DRR $< -o $@
$(KDIR)cgemm_small_kernel_nt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DNT $< -o $@
$(KDIR)cgemm_small_kernel_nc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DNC $< -o $@
$(KDIR)cgemm_small_kernel_rt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DRT $< -o $@
$(KDIR)cgemm_small_kernel_rc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DRC $< -o $@
$(KDIR)cgemm_small_kernel_tn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DTN $< -o $@
$(KDIR)cgemm_small_kernel_tr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DTR $< -o $@
$(KDIR)cgemm_small_kernel_cn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DCN $< -o $@
$(KDIR)cgemm_small_kernel_cr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DCR $< -o $@
$(KDIR)cgemm_small_kernel_tt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DTT $< -o $@
$(KDIR)cgemm_small_kernel_tc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DTC $< -o $@
$(KDIR)cgemm_small_kernel_ct$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DCT $< -o $@
$(KDIR)cgemm_small_kernel_cc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DCC $< -o $@
ifndef CGEMM_SMALL_K_B0_NN
CGEMM_SMALL_K_B0_NN = ../generic/zgemm_small_matrix_kernel_nn.c
endif
ifndef CGEMM_SMALL_K_B0_NT
CGEMM_SMALL_K_B0_NT = ../generic/zgemm_small_matrix_kernel_nt.c
endif
ifndef CGEMM_SMALL_K_B0_TN
CGEMM_SMALL_K_B0_TN = ../generic/zgemm_small_matrix_kernel_tn.c
endif
ifndef CGEMM_SMALL_K_B0_TT
CGEMM_SMALL_K_B0_TT = ../generic/zgemm_small_matrix_kernel_tt.c
endif
$(KDIR)cgemm_small_kernel_b0_nn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DNN -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_nr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DNR -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_rn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DRN -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_rr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DRR -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_nt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DNT -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_nc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DNC -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_rt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DRT -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_rc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DRC -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_tn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DTN -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_tr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DTR -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_cn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DCN -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_cr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DCR -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_tt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DTT -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_tc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DTC -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_ct$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DCT -DB0 $< -o $@
$(KDIR)cgemm_small_kernel_b0_cc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(CGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -UDOUBLE -DCOMPLEX -DCC -DB0 $< -o $@
ifndef ZGEMM_SMALL_M_PERMIT
ZGEMM_SMALL_M_PERMIT = ../generic/zgemm_small_matrix_permit.c
endif
ifndef ZGEMM_SMALL_K_NN
ZGEMM_SMALL_K_NN = ../generic/zgemm_small_matrix_kernel_nn.c
endif
ifndef ZGEMM_SMALL_K_NT
ZGEMM_SMALL_K_NT = ../generic/zgemm_small_matrix_kernel_nt.c
endif
ifndef ZGEMM_SMALL_K_TN
ZGEMM_SMALL_K_TN = ../generic/zgemm_small_matrix_kernel_tn.c
endif
ifndef ZGEMM_SMALL_K_TT
ZGEMM_SMALL_K_TT = ../generic/zgemm_small_matrix_kernel_tt.c
endif
$(KDIR)zgemm_small_matrix_permit$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_M_PERMIT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX $< -o $@
$(KDIR)zgemm_small_kernel_nn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DNN $< -o $@
$(KDIR)zgemm_small_kernel_nr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DNR $< -o $@
$(KDIR)zgemm_small_kernel_rn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DRN $< -o $@
$(KDIR)zgemm_small_kernel_rr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DRR $< -o $@
$(KDIR)zgemm_small_kernel_nt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DNT $< -o $@
$(KDIR)zgemm_small_kernel_nc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DNC $< -o $@
$(KDIR)zgemm_small_kernel_rt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DRT $< -o $@
$(KDIR)zgemm_small_kernel_rc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DRC $< -o $@
$(KDIR)zgemm_small_kernel_tn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DTN $< -o $@
$(KDIR)zgemm_small_kernel_tr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DTR $< -o $@
$(KDIR)zgemm_small_kernel_cn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DCN $< -o $@
$(KDIR)zgemm_small_kernel_cr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DCR $< -o $@
$(KDIR)zgemm_small_kernel_tt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DTT $< -o $@
$(KDIR)zgemm_small_kernel_tc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DTC $< -o $@
$(KDIR)zgemm_small_kernel_ct$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DCT $< -o $@
$(KDIR)zgemm_small_kernel_cc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DCC $< -o $@
ifndef ZGEMM_SMALL_K_B0_NN
ZGEMM_SMALL_K_B0_NN = ../generic/zgemm_small_matrix_kernel_nn.c
endif
ifndef ZGEMM_SMALL_K_B0_NT
ZGEMM_SMALL_K_B0_NT = ../generic/zgemm_small_matrix_kernel_nt.c
endif
ifndef ZGEMM_SMALL_K_B0_TN
ZGEMM_SMALL_K_B0_TN = ../generic/zgemm_small_matrix_kernel_tn.c
endif
ifndef ZGEMM_SMALL_K_B0_TT
ZGEMM_SMALL_K_B0_TT = ../generic/zgemm_small_matrix_kernel_tt.c
endif
$(KDIR)zgemm_small_kernel_b0_nn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DNN -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_nr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DNR -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_rn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DRN -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_rr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_NN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DRR -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_nt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DNT -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_nc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DNC -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_rt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DRT -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_rc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_NT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DRC -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_tn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DTN -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_tr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DTR -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_cn$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DCN -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_cr$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_TN)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DCR -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_tt$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DTT -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_tc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DTC -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_ct$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DCT -DB0 $< -o $@
$(KDIR)zgemm_small_kernel_b0_cc$(TSUFFIX).$(SUFFIX) : $(KERNELDIR)/$(ZGEMM_SMALL_K_B0_TT)
$(CC) $(CFLAGS) -c -DDOUBLE -DCOMPLEX -DCC -DB0 $< -o $@

56
kernel/generic/gemm_small_matrix_kernel_nn.c Normal file
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@@ -0,0 +1,56 @@
/***************************************************************************
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"
#ifdef B0
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb,FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
//naive implemtation
//Column major
BLASLONG i,j,k;
FLOAT result=0.0;
for(i=0; i<M; i++){
for(j=0; j<N; j++){
result=0.0;
for(k=0; k<K; k++){
result += A[i+k*lda] * B[k+j*ldb];
}
#ifdef B0
C[i+j*ldc]=alpha * result;
#else
C[i+j*ldc]=C[i+j*ldc] * beta + alpha * result;
#endif
}
}
return 0;
}

56
kernel/generic/gemm_small_matrix_kernel_nt.c Normal file
View File

@@ -0,0 +1,56 @@
/***************************************************************************
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"
#ifdef B0
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
//naive implemtation
//Column major
BLASLONG i,j,k;
FLOAT result=0.0;
for(i=0; i<M; i++){
for(j=0; j<N; j++){
result=0.0;
for(k=0; k<K; k++){
result += A[i+k*lda] * B[k*ldb+j];
}
#ifdef B0
C[i+j*ldc]=alpha * result;
#else
C[i+j*ldc]=C[i+j*ldc] * beta + alpha * result;
#endif
}
}
return 0;
}

57
kernel/generic/gemm_small_matrix_kernel_tn.c Normal file
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@@ -0,0 +1,57 @@
/***************************************************************************
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"
#ifdef B0
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb,FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
//naive implemtation
//Column major
BLASLONG i,j,k;
FLOAT result=0.0;
for(i=0; i<M; i++){
for(j=0; j<N; j++){
result=0.0;
for(k=0; k<K; k++){
result += A[i*lda+k] * B[k+j*ldb];
}
#ifdef B0
C[i+j*ldc]=alpha * result;
#else
C[i+j*ldc]=C[i+j*ldc] * beta + alpha * result;
#endif
}
}
return 0;
}

57
kernel/generic/gemm_small_matrix_kernel_tt.c Normal file
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@@ -0,0 +1,57 @@
/***************************************************************************
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"
#ifdef B0
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
//naive implemtation
//Column major
BLASLONG i,j,k;
FLOAT result=0.0;
for(i=0; i<M; i++){
for(j=0; j<N; j++){
result=0.0;
for(k=0; k<K; k++){
result += A[i*lda+k] * B[k*ldb+j];
}
#ifdef B0
C[i+j*ldc]=alpha * result;
#else
C[i+j*ldc]=C[i+j*ldc] * beta + alpha * result;
#endif
}
}
return 0;
}

40
kernel/generic/gemm_small_matrix_permit.c Normal file
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@@ -0,0 +1,40 @@
/***************************************************************************
Copyright (c) 2021, 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"
int CNAME(int transa, int transb, BLASLONG M, BLASLONG N, BLASLONG K, FLOAT alpha, FLOAT beta)
{
return 0;
/*
double MNK = (double) M * (double) N * (double) K;
if (MNK <= 100.0*100.0*100.0)
return 1;
else
return 0;
*/
}

89
kernel/generic/zgemm_small_matrix_kernel_nn.c Normal file
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@@ -0,0 +1,89 @@
/***************************************************************************
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"
#ifndef B0
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha0, FLOAT alpha1, FLOAT * B, BLASLONG ldb, FLOAT beta0, FLOAT beta1, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha0, FLOAT alpha1, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#endif
{
FLOAT real, imag;
#ifndef B0
FLOAT tmp0, tmp1;
#endif
int i, j, l;
for(i = 0; i < M; i++){
for(j = 0; j < N; j++){
real=0;
imag=0;
for(l = 0; l < K; l++){
#if defined(NN)
real += (A[l*2*lda + 2*i]*B[j*2*ldb + 2*l]
-A[l*2*lda + 2*i + 1] * B[j*2*ldb + 2*l + 1]);
imag+=(A[l*2*lda + 2*i] * B[j*2*ldb + 2*l + 1]
+ A[l*2*lda + 2*i + 1] * B[j*2*ldb + 2*l]);
#elif defined(NR)
real += (A[l*2*lda + 2*i]*B[j*2*ldb + 2*l]
+A[l*2*lda + 2*i + 1] * B[j*2*ldb + 2*l + 1]);
imag+=(-A[l*2*lda + 2*i] * B[j*2*ldb + 2*l + 1]
+ A[l*2*lda + 2*i + 1] * B[j*2*ldb + 2*l]);
#elif defined(RN)
real += (A[l*2*lda + 2*i]*B[j*2*ldb + 2*l]
+A[l*2*lda + 2*i + 1] * B[j*2*ldb + 2*l + 1]);
imag+=(A[l*2*lda + 2*i] * B[j*2*ldb + 2*l + 1]
- A[l*2*lda + 2*i + 1] * B[j*2*ldb + 2*l]);
#elif defined(RR)
real += (A[l*2*lda + 2*i]*B[j*2*ldb + 2*l]
-A[l*2*lda + 2*i + 1] * B[j*2*ldb + 2*l + 1]);
imag+=(-A[l*2*lda + 2*i] * B[j*2*ldb + 2*l + 1]
- A[l*2*lda + 2*i + 1] * B[j*2*ldb + 2*l]);
#endif
}
#ifndef B0
tmp0 = beta0*C[j*2*ldc + 2*i] - beta1*C[j*2*ldc+ 2*i + 1];
tmp1 = beta0*C[j*2*ldc+ 2*i + 1] + beta1*C[j*2*ldc + 2*i];
C[j*2*ldc + 2*i] =tmp0+ alpha0*real - alpha1*imag;
C[j*2*ldc+ 2*i + 1] = tmp1+ alpha0*imag + real*alpha1;
#else
C[j*2*ldc + 2*i] = alpha0*real - alpha1*imag;
C[j*2*ldc+ 2*i + 1] = alpha0*imag + real*alpha1;
#endif
}
}
return 0;
}

93
kernel/generic/zgemm_small_matrix_kernel_nt.c Normal file
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@@ -0,0 +1,93 @@
/***************************************************************************
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"
#ifndef B0
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha0, FLOAT alpha1, FLOAT * B, BLASLONG ldb, FLOAT beta0, FLOAT beta1, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha0, FLOAT alpha1, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#endif
{
FLOAT real, imag;
#ifndef B0
FLOAT tmp0, tmp1;
#endif
int i, j, l;
for(i = 0; i < M; i++){
for(j = 0; j < N; j++){
real=0;
imag=0;
for(l = 0; l < K; l++){
#if defined(NT)
real += (A[l*2*lda + 2*i]*B[l*2*ldb + 2*j]
-A[l*2*lda + 2*i + 1] * B[l*2*ldb + 2*j + 1]);
imag+=(A[l*2*lda + 2*i] * B[l*2*ldb + 2*j + 1]
+ A[l*2*lda + 2*i + 1] * B[l*2*ldb + 2*j]);
#elif defined(NC)
real += (A[l*2*lda + 2*i]*B[l*2*ldb + 2*j]
+A[l*2*lda + 2*i + 1] * B[l*2*ldb + 2*j + 1]);
imag+=(-A[l*2*lda + 2*i] * B[l*2*ldb + 2*j + 1]
+ A[l*2*lda + 2*i + 1] * B[l*2*ldb + 2*j]);
#elif defined(RT)
real += (A[l*2*lda + 2*i]*B[l*2*ldb + 2*j]
+A[l*2*lda + 2*i + 1] * B[l*2*ldb + 2*j + 1]);
imag+=(A[l*2*lda + 2*i] * B[l*2*ldb + 2*j + 1]
- A[l*2*lda + 2*i + 1] * B[l*2*ldb + 2*j]);
#elif defined(RC)
real += (A[l*2*lda + 2*i]*B[l*2*ldb + 2*j]
-A[l*2*lda + 2*i + 1] * B[l*2*ldb + 2*j + 1]);
imag+=(-A[l*2*lda + 2*i] * B[l*2*ldb + 2*j + 1]
- A[l*2*lda + 2*i + 1] * B[l*2*ldb + 2*j]);
#endif
}
#ifndef B0
tmp0 = beta0*C[j*2*ldc + 2*i] - beta1*C[j*2*ldc+ 2*i + 1];
tmp1 = beta0*C[j*2*ldc+ 2*i + 1] + beta1*C[j*2*ldc + 2*i];
C[j*2*ldc + 2*i] =tmp0+ alpha0*real - alpha1*imag;
C[j*2*ldc+ 2*i + 1] = tmp1+ alpha0*imag + real*alpha1;
#else
C[j*2*ldc + 2*i] = alpha0*real - alpha1*imag;
C[j*2*ldc+ 2*i + 1] = alpha0*imag + real*alpha1;
#endif
}
}
return 0;
}

93
kernel/generic/zgemm_small_matrix_kernel_tn.c Normal file
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@@ -0,0 +1,93 @@
/***************************************************************************
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"
#ifndef B0
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha0, FLOAT alpha1, FLOAT * B, BLASLONG ldb, FLOAT beta0, FLOAT beta1, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha0, FLOAT alpha1, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#endif
{
FLOAT real, imag;
#ifndef B0
FLOAT tmp0, tmp1;
#endif
int i, j, l;
for(i = 0; i < M; i++){
for(j = 0; j < N; j++){
real=0;
imag=0;
for(l = 0; l < K; l++){
#if defined(TN)
real += (A[i*2*lda + 2*l]*B[j*2*ldb + 2*l]
-A[i*2*lda + 2*l + 1] * B[j*2*ldb + 2*l + 1]);
imag+=(A[i*2*lda + 2*l] * B[j*2*ldb + 2*l + 1]
+ A[i*2*lda + 2*l + 1] * B[j*2*ldb + 2*l]);
#elif defined(TR)
real += (A[i*2*lda + 2*l]*B[j*2*ldb + 2*l]
+A[i*2*lda + 2*l + 1] * B[j*2*ldb + 2*l + 1]);
imag+=(-A[i*2*lda + 2*l] * B[j*2*ldb + 2*l + 1]
+ A[i*2*lda + 2*l + 1] * B[j*2*ldb + 2*l]);
#elif defined(CN)
real += (A[i*2*lda + 2*l]*B[j*2*ldb + 2*l]
+A[i*2*lda + 2*l + 1] * B[j*2*ldb + 2*l + 1]);
imag+=(A[i*2*lda + 2*l] * B[j*2*ldb + 2*l + 1]
- A[i*2*lda + 2*l + 1] * B[j*2*ldb + 2*l]);
#elif defined(CR)
real += (A[i*2*lda + 2*l]*B[j*2*ldb + 2*l]
-A[i*2*lda + 2*l + 1] * B[j*2*ldb + 2*l + 1]);
imag+=(-A[i*2*lda + 2*l] * B[j*2*ldb + 2*l + 1]
- A[i*2*lda + 2*l + 1] * B[j*2*ldb + 2*l]);
#endif
}
#ifndef B0
tmp0 = beta0*C[j*2*ldc + 2*i] - beta1*C[j*2*ldc+ 2*i + 1];
tmp1 = beta0*C[j*2*ldc+ 2*i + 1] + beta1*C[j*2*ldc + 2*i];
C[j*2*ldc + 2*i] =tmp0+ alpha0*real - alpha1*imag;
C[j*2*ldc+ 2*i + 1] = tmp1+ alpha0*imag + real*alpha1;
#else
C[j*2*ldc + 2*i] = alpha0*real - alpha1*imag;
C[j*2*ldc+ 2*i + 1] = alpha0*imag + real*alpha1;
#endif
}
}
return 0;
}

93
kernel/generic/zgemm_small_matrix_kernel_tt.c Normal file
View File

@@ -0,0 +1,93 @@
/***************************************************************************
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"
#ifndef B0
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha0, FLOAT alpha1, FLOAT * B, BLASLONG ldb, FLOAT beta0, FLOAT beta1, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha0, FLOAT alpha1, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#endif
{
FLOAT real, imag;
#ifndef B0
FLOAT tmp0, tmp1;
#endif
int i, j, l;
for(i = 0; i < M; i++){
for(j = 0; j < N; j++){
real=0;
imag=0;
for(l = 0; l < K; l++){
#if defined(TT)
real += (A[i*2*lda + 2*l]*B[l*2*ldb + 2*j]
-A[i*2*lda + 2*l + 1] * B[l*2*ldb + 2*j + 1]);
imag+=(A[i*2*lda + 2*l] * B[l*2*ldb + 2*j + 1]
+ A[i*2*lda + 2*l + 1] * B[l*2*ldb + 2*j]);
#elif defined(TC)
real += (A[i*2*lda + 2*l]*B[l*2*ldb + 2*j]
+A[i*2*lda + 2*l + 1] * B[l*2*ldb + 2*j + 1]);
imag+=(-A[i*2*lda + 2*l] * B[l*2*ldb + 2*j + 1]
+ A[i*2*lda + 2*l + 1] * B[l*2*ldb + 2*j]);
#elif defined(CT)
real += (A[i*2*lda + 2*l]*B[l*2*ldb + 2*j]
+A[i*2*lda + 2*l + 1] * B[l*2*ldb + 2*j + 1]);
imag+=(A[i*2*lda + 2*l] * B[l*2*ldb + 2*j + 1]
- A[i*2*lda + 2*l + 1] * B[l*2*ldb + 2*j]);
#elif defined(CC)
real += (A[i*2*lda + 2*l]*B[l*2*ldb + 2*j]
-A[i*2*lda + 2*l + 1] * B[l*2*ldb + 2*j + 1]);
imag+=(-A[i*2*lda + 2*l] * B[l*2*ldb + 2*j + 1]
- A[i*2*lda + 2*l + 1] * B[l*2*ldb + 2*j]);
#endif
}
#ifndef B0
tmp0 = beta0*C[j*2*ldc + 2*i] - beta1*C[j*2*ldc+ 2*i + 1];
tmp1 = beta0*C[j*2*ldc+ 2*i + 1] + beta1*C[j*2*ldc + 2*i];
C[j*2*ldc + 2*i] =tmp0+ alpha0*real - alpha1*imag;
C[j*2*ldc+ 2*i + 1] = tmp1+ alpha0*imag + real*alpha1;
#else
C[j*2*ldc + 2*i] = alpha0*real - alpha1*imag;
C[j*2*ldc+ 2*i + 1] = alpha0*imag + real*alpha1;
#endif
}
}
return 0;
}

40
kernel/generic/zgemm_small_matrix_permit.c Normal file
View File

@@ -0,0 +1,40 @@
/***************************************************************************
Copyright (c) 2021, 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"
int CNAME(int transa, int transb, BLASLONG M, BLASLONG N, BLASLONG K, FLOAT alpha0, FLOAT alpha1, FLOAT beta0, FLOAT beta1)
{
return 0;
/*
double MNK = (double) M * (double) N * (double) K;
if (MNK <= 100.0*100.0*100.0)
return 1;
else
return 0;
*/
}

37
kernel/setparam-ref.c
View File

@@ -171,6 +171,14 @@ gotoblas_t TABLE_NAME = {
sgemm_oncopyTS, sgemm_otcopyTS,
#endif
#if BUILD_SINGLE == 1
#ifdef SMALL_MATRIX_OPT
sgemm_small_matrix_permitTS,
sgemm_small_kernel_nnTS, sgemm_small_kernel_ntTS, sgemm_small_kernel_tnTS, sgemm_small_kernel_ttTS,
sgemm_small_kernel_b0_nnTS, sgemm_small_kernel_b0_ntTS, sgemm_small_kernel_b0_tnTS, sgemm_small_kernel_b0_ttTS,
#endif
#endif
#if (BUILD_SINGLE==1) || (BUILD_DOUBLE==1)
strsm_kernel_LNTS, strsm_kernel_LTTS, strsm_kernel_RNTS, strsm_kernel_RTTS,
#if SGEMM_DEFAULT_UNROLL_M != SGEMM_DEFAULT_UNROLL_N
@@ -257,6 +265,11 @@ gotoblas_t TABLE_NAME = {
#endif
#if (BUILD_DOUBLE==1)
#ifdef SMALL_MATRIX_OPT
dgemm_small_matrix_permitTS,
dgemm_small_kernel_nnTS, dgemm_small_kernel_ntTS, dgemm_small_kernel_tnTS, dgemm_small_kernel_ttTS,
dgemm_small_kernel_b0_nnTS, dgemm_small_kernel_b0_ntTS, dgemm_small_kernel_b0_tnTS, dgemm_small_kernel_b0_ttTS,
#endif
dtrsm_kernel_LNTS, dtrsm_kernel_LTTS, dtrsm_kernel_RNTS, dtrsm_kernel_RTTS,
#if DGEMM_DEFAULT_UNROLL_M != DGEMM_DEFAULT_UNROLL_N
dtrsm_iunucopyTS, dtrsm_iunncopyTS, dtrsm_iutucopyTS, dtrsm_iutncopyTS,
@@ -389,6 +402,18 @@ gotoblas_t TABLE_NAME = {
#endif
cgemm_oncopyTS, cgemm_otcopyTS,
#ifdef SMALL_MATRIX_OPT
cgemm_small_matrix_permitTS,
cgemm_small_kernel_nnTS, cgemm_small_kernel_ntTS, cgemm_small_kernel_nrTS, cgemm_small_kernel_ncTS,
cgemm_small_kernel_tnTS, cgemm_small_kernel_ttTS, cgemm_small_kernel_trTS, cgemm_small_kernel_tcTS,
cgemm_small_kernel_rnTS, cgemm_small_kernel_rtTS, cgemm_small_kernel_rrTS, cgemm_small_kernel_rcTS,
cgemm_small_kernel_cnTS, cgemm_small_kernel_ctTS, cgemm_small_kernel_crTS, cgemm_small_kernel_ccTS,
cgemm_small_kernel_b0_nnTS, cgemm_small_kernel_b0_ntTS, cgemm_small_kernel_b0_nrTS, cgemm_small_kernel_b0_ncTS,
cgemm_small_kernel_b0_tnTS, cgemm_small_kernel_b0_ttTS, cgemm_small_kernel_b0_trTS, cgemm_small_kernel_b0_tcTS,
cgemm_small_kernel_b0_rnTS, cgemm_small_kernel_b0_rtTS, cgemm_small_kernel_b0_rrTS, cgemm_small_kernel_b0_rcTS,
cgemm_small_kernel_b0_cnTS, cgemm_small_kernel_b0_ctTS, cgemm_small_kernel_b0_crTS, cgemm_small_kernel_b0_ccTS,
#endif
ctrsm_kernel_LNTS, ctrsm_kernel_LTTS, ctrsm_kernel_LRTS, ctrsm_kernel_LCTS,
ctrsm_kernel_RNTS, ctrsm_kernel_RTTS, ctrsm_kernel_RRTS, ctrsm_kernel_RCTS,
@@ -533,6 +558,18 @@ gotoblas_t TABLE_NAME = {
#endif
zgemm_oncopyTS, zgemm_otcopyTS,
#ifdef SMALL_MATRIX_OPT
zgemm_small_matrix_permitTS,
zgemm_small_kernel_nnTS, zgemm_small_kernel_ntTS, zgemm_small_kernel_nrTS, zgemm_small_kernel_ncTS,
zgemm_small_kernel_tnTS, zgemm_small_kernel_ttTS, zgemm_small_kernel_trTS, zgemm_small_kernel_tcTS,
zgemm_small_kernel_rnTS, zgemm_small_kernel_rtTS, zgemm_small_kernel_rrTS, zgemm_small_kernel_rcTS,
zgemm_small_kernel_cnTS, zgemm_small_kernel_ctTS, zgemm_small_kernel_crTS, zgemm_small_kernel_ccTS,
zgemm_small_kernel_b0_nnTS, zgemm_small_kernel_b0_ntTS, zgemm_small_kernel_b0_nrTS, zgemm_small_kernel_b0_ncTS,
zgemm_small_kernel_b0_tnTS, zgemm_small_kernel_b0_ttTS, zgemm_small_kernel_b0_trTS, zgemm_small_kernel_b0_tcTS,
zgemm_small_kernel_b0_rnTS, zgemm_small_kernel_b0_rtTS, zgemm_small_kernel_b0_rrTS, zgemm_small_kernel_b0_rcTS,
zgemm_small_kernel_b0_cnTS, zgemm_small_kernel_b0_ctTS, zgemm_small_kernel_b0_crTS, zgemm_small_kernel_b0_ccTS,
#endif
ztrsm_kernel_LNTS, ztrsm_kernel_LTTS, ztrsm_kernel_LRTS, ztrsm_kernel_LCTS,
ztrsm_kernel_RNTS, ztrsm_kernel_RTTS, ztrsm_kernel_RRTS, ztrsm_kernel_RCTS,

18
kernel/x86_64/KERNEL.SKYLAKEX
View File

@@ -10,6 +10,15 @@ STRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
STRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
STRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
STRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
SGEMM_SMALL_M_PERMIT = sgemm_small_kernel_permit_skylakex.c
SGEMM_SMALL_K_NN = sgemm_small_kernel_nn_skylakex.c
SGEMM_SMALL_K_B0_NN = sgemm_small_kernel_nn_skylakex.c
SGEMM_SMALL_K_NT = sgemm_small_kernel_nt_skylakex.c
SGEMM_SMALL_K_B0_NT = sgemm_small_kernel_nt_skylakex.c
SGEMM_SMALL_K_TN = sgemm_small_kernel_tn_skylakex.c
SGEMM_SMALL_K_B0_TN = sgemm_small_kernel_tn_skylakex.c
SGEMM_SMALL_K_TT = sgemm_small_kernel_tt_skylakex.c
SGEMM_SMALL_K_B0_TT = sgemm_small_kernel_tt_skylakex.c
DGEMMKERNEL = dgemm_kernel_16x2_skylakex.c
DTRMMKERNEL = dgemm_kernel_16x2_skylakex.c
@@ -18,6 +27,15 @@ DGEMMITCOPY = dgemm_tcopy_16_skylakex.c
DGEMMONCOPY = ../generic/gemm_ncopy_2.c
DGEMMOTCOPY = ../generic/gemm_tcopy_2.c
DTRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
DGEMM_SMALL_M_PERMIT = dgemm_small_kernel_permit_skylakex.c
DGEMM_SMALL_K_NN = dgemm_small_kernel_nn_skylakex.c
DGEMM_SMALL_K_B0_NN = dgemm_small_kernel_nn_skylakex.c
DGEMM_SMALL_K_NT = dgemm_small_kernel_nt_skylakex.c
DGEMM_SMALL_K_B0_NT = dgemm_small_kernel_nt_skylakex.c
DGEMM_SMALL_K_TN = dgemm_small_kernel_tn_skylakex.c
DGEMM_SMALL_K_B0_TN = dgemm_small_kernel_tn_skylakex.c
DGEMM_SMALL_K_TT = dgemm_small_kernel_tt_skylakex.c
DGEMM_SMALL_K_B0_TT = dgemm_small_kernel_tt_skylakex.c
SGEMM_BETA = sgemm_beta_skylakex.c
DGEMM_BETA = dgemm_beta_skylakex.c

590
kernel/x86_64/dgemm_small_kernel_nn_skylakex.c Normal file
View File

@@ -0,0 +1,590 @@
/***************************************************************************
Copyright (c) 2021, 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 <immintrin.h>
#include "common.h"
#include <stdio.h>
#include <memory.h>
#define DECLARE_RESULT_512(M, N) __m512d result##M##N = _mm512_setzero_pd()
#define LOAD_A_512(M, N) __m512d Aval##M = _mm512_loadu_pd(&A[lda * k + i + (M*8)])
#define MASK_LOAD_A_512(M, N) __m512d Aval##M = _mm512_maskz_loadu_pd(mask, &A[lda * k + i + (M*8)])
#define BROADCAST_LOAD_B_512(M, N) __m512d Bval##N = _mm512_broadcastsd_pd(_mm_load_pd1(&B[k + ldb * (j+N)]))
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_pd(Aval##M, Bval##N, result##M##N)
#if defined(B0)
#define STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
_mm512_storeu_pd(&C[(j+N)*ldc + i + (M*8)], result##M##N)
#define MASK_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
_mm512_mask_storeu_pd(&C[(j+N)*ldc + i + (M*8)], mask, result##M##N)
#else
#define STORE_512(M, N) \
result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
asm("vfmadd231pd (%1), %2, %0": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*8)]), "v"(beta_512)); \
_mm512_storeu_pd(&C[(j+N)*ldc + i + (M*8)], result##M##N)
#define MASK_STORE_512(M, N) \
result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
asm("vfmadd231pd (%1), %2, %0 %{%3%}": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*8)]), "v"(beta_512), "k"(mask)); \
_mm512_mask_storeu_pd(&C[(j+N)*ldc + i + (M*8)], mask, result##M##N)
#endif
#define LOAD_KA_512(M, N) __m512d Aval##M = _mm512_loadu_pd(&mbuf[(mi + M)*K + k]);
#define LOAD_KB_512(M, N) __m512d Bval##N = _mm512_loadu_pd(&B[(j + N)*ldb + k])
#define MASK_LOAD_KA_512(M, N) __m512d Aval##M = _mm512_maskz_loadu_pd(mask, &mbuf[(mi + M)*K + k])
#define MASK_LOAD_KB_512(M, N) __m512d Bval##N = _mm512_maskz_loadu_pd(mask, &B[(j + N)*ldb + k])
#define REDUCE_4(rr0, rr1, rr2, rr3) \
__m512d r0, r1, r2, r3, t0, t1, t2, t3;\
r0 = _mm512_unpacklo_pd(rr0, rr1); r1 = _mm512_unpackhi_pd(rr0, rr1); \
r2 = _mm512_unpacklo_pd(rr2, rr3); r3 = _mm512_unpackhi_pd(rr2, rr3); \
t0 = _mm512_permutex2var_pd(r0, idx_lo, r2); t1 = _mm512_permutex2var_pd(r1, idx_lo, r3); \
t2 = _mm512_permutex2var_pd(r0, idx_hi, r2); t3 = _mm512_permutex2var_pd(r1, idx_hi, r3); \
r0 = _mm512_add_pd(t0, t1); r1 = _mm512_add_pd(t2, t3); t0 = _mm512_add_pd(r0, r1); \
__m256d s0, s1; \
s0 = _mm512_extractf64x4_pd(t0, 0); s1 = _mm512_extractf64x4_pd(t0, 1); \
s0 = _mm256_add_pd(s0, s1); s0 = _mm256_mul_pd(alpha_256, s0);
#define REDUCE_M4(N) REDUCE_4(result0##N, result1##N, result2##N, result3##N)
#define REDUCE_N4(M) REDUCE_4(result##M##0, result##M##1, result##M##2, result##M##3)
#if defined(B0)
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N);
#define STORE_REDUCE_M4(N) {\
REDUCE_M4(N) \
_mm256_storeu_pd(&C[(j + N)*ldc + i], s0); \
}
#define STORE_REDUCE_N4(M) {\
REDUCE_N4(M) \
_mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8); \
}
#else
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N) + beta * C[(j+N)*ldc + i + M];
#define STORE_REDUCE_M4(N) {\
REDUCE_M4(N) \
asm("vfmadd231pd (%1), %2, %0": "+v"(s0):"r"(&C[(j + N)*ldc + i]), "v"(beta_256)); \
_mm256_storeu_pd(&C[(j + N)*ldc + i], s0); \
}
#define STORE_REDUCE_N4(M) {\
REDUCE_N4(M) \
s1 = _mm256_i64gather_pd(&C[j*ldc + i + M], vindex_n, 8); \
s0 = _mm256_fmadd_pd(s1, beta_256, s0); \
_mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8); \
}
#endif
#if defined(B0)
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
// column major
BLASLONG i, j, k;
BLASLONG m32 = M & ~31;
BLASLONG m16 = M & ~15;
BLASLONG m8 = M & ~7;
BLASLONG m4 = M & ~3;
BLASLONG m2 = M & ~1;
BLASLONG n6 = N - (N % 6);
BLASLONG n4 = N & ~3;
BLASLONG n2 = N & ~1;
__m512d alpha_512 = _mm512_broadcastsd_pd(_mm_load_pd1(&alpha));
#if !defined(B0)
__m512d beta_512 = _mm512_broadcastsd_pd(_mm_load_pd1(&beta));
#endif
for (i = 0; i < m32; i += 32) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
STORE_512(0, 2); STORE_512(1, 2); STORE_512(2, 2); STORE_512(3, 2);
STORE_512(0, 3); STORE_512(1, 3); STORE_512(2, 3); STORE_512(3, 3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
}
}
for (; i < m16; i += 16) {
for (j = 0; j < n6; j += 6) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
DECLARE_RESULT_512(0, 4); DECLARE_RESULT_512(1, 4);
DECLARE_RESULT_512(0, 5); DECLARE_RESULT_512(1, 5);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
MATMUL_512(0, 4); MATMUL_512(1, 4);
MATMUL_512(0, 5); MATMUL_512(1, 5);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
STORE_512(0, 2); STORE_512(1, 2);
STORE_512(0, 3); STORE_512(1, 3);
STORE_512(0, 4); STORE_512(1, 4);
STORE_512(0, 5); STORE_512(1, 5);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
STORE_512(0, 0); STORE_512(1, 0);
}
}
for (; i < m8; i += 8) {
for (j = 0; j < n6; j += 6) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
DECLARE_RESULT_512(0, 4);
DECLARE_RESULT_512(0, 5);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
MATMUL_512(0, 4);
MATMUL_512(0, 5);
}
STORE_512(0, 0);
STORE_512(0, 1);
STORE_512(0, 2);
STORE_512(0, 3);
STORE_512(0, 4);
STORE_512(0, 5);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
STORE_512(0, 0);
STORE_512(0, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
STORE_512(0, 0);
}
}
int mm = M - i;
if (!mm) return 0;
if (mm > 4 || K < 16) {
register __mmask8 mask asm("k1") = (1UL << mm) - 1;
for (j = 0; j < n6; j += 6) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
DECLARE_RESULT_512(0, 4);
DECLARE_RESULT_512(0, 5);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
MATMUL_512(0, 4);
MATMUL_512(0, 5);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
MASK_STORE_512(0, 2);
MASK_STORE_512(0, 3);
MASK_STORE_512(0, 4);
MASK_STORE_512(0, 5);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
MASK_STORE_512(0, 0);
}
} else {
/* M => [1, 4]
*
* This kernel use dot-like style to calc a value - C(x, y):
* C(x, y) = A(x, 0)*B(0, y) + A(x, 1)*B(1, y) +....+ A(x, K)*B(K, y)
*
* Alloc a buf to copy rest of A as row major,
* so memory access from 0 to K is continuous for both A & B.
*
* Loading to zmm and FMA 8 of k at one loop,
* finally reduce_add zmm to a single float result in C(x, y).
*
* Note: performance is bad when K is small.
*/
FLOAT *mbuf = (FLOAT *) malloc(sizeof(FLOAT)*mm*K);
__mmask8 mask = (1UL << mm) - 1;
BLASLONG k8 = K & ~7;
BLASLONG k4 = K & ~3;
for (k = 0; k < k4; k += 4) {
__m256d r0, r1, r2, r3;
__m256d t0, t1, t2, t3;
r0 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(0 + k)]);
r1 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(1 + k)]);
r2 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(2 + k)]);
r3 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(3 + k)]);
t0 = _mm256_unpacklo_pd(r0, r1);
t1 = _mm256_unpackhi_pd(r0, r1);
t2 = _mm256_unpacklo_pd(r2, r3);
t3 = _mm256_unpackhi_pd(r2, r3);
r0 = _mm256_permute2f128_pd(t0, t2, 0x20);
r1 = _mm256_permute2f128_pd(t1, t3, 0x20);
r2 = _mm256_permute2f128_pd(t0, t2, 0x31);
r3 = _mm256_permute2f128_pd(t1, t3, 0x31);
switch (mm) {
case 4: _mm256_storeu_pd(&mbuf[k + 3*K], r3);
case 3: _mm256_storeu_pd(&mbuf[k + 2*K], r2);
case 2: _mm256_storeu_pd(&mbuf[k + 1*K], r1);
case 1: _mm256_storeu_pd(&mbuf[k + 0*K], r0);
}
}
for (; k < K; k++) {
for (int ii = 0; ii < mm; ii++) {
mbuf[k + ii*K] = A[i + lda*k + ii];
}
}
int mi = 0;
__m256d alpha_256 = _mm256_broadcast_sd(&alpha);
#if !defined(B0)
__m256d beta_256 = _mm256_broadcast_sd(&beta);
#endif
__m256i vindex_n = _mm256_set_epi64x(ldc*3, ldc*2, ldc*1, 0);
long long permute_table[] = {
0, 1, 0|8, 1|8, 4, 5, 4|8, 5|8,
2, 3, 2|8, 3|8, 6, 7, 6|8, 7|8,
};
__m512i idx_lo = _mm512_loadu_si512(permute_table);
__m512i idx_hi = _mm512_loadu_si512(permute_table + 8);
for (; i < m4; i += 4, mi += 4) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
STORE_REDUCE_M4(0); STORE_REDUCE_M4(1); STORE_REDUCE_M4(2); STORE_REDUCE_M4(3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
STORE_REDUCE_M4(0); STORE_REDUCE_M4(1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
STORE_REDUCE_M4(0);
}
}
for (; i < m2; i += 2, mi += 2) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
STORE_REDUCE_N4(0); STORE_REDUCE_N4(1);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
STORE_REDUCE(0, 1); STORE_REDUCE(1, 1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
}
}
for (; i < M; i += 1, mi += 1) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
STORE_REDUCE_N4(0);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
STORE_REDUCE(0, 0);
STORE_REDUCE(0, 1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0);
}
STORE_REDUCE(0, 0);
}
}
free(mbuf);
}
return 0;
}

535
kernel/x86_64/dgemm_small_kernel_nt_skylakex.c Normal file
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@@ -0,0 +1,535 @@
/***************************************************************************
Copyright (c) 2021, 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 <immintrin.h>
#include "common.h"
#include <stdio.h>
#include <memory.h>
#define DECLARE_RESULT_512(M, N) __m512d result##M##N = _mm512_setzero_pd()
#define LOAD_A_512(M, N) __m512d Aval##M = _mm512_loadu_pd(&A[lda * k + i + (M*8)])
#define MASK_LOAD_A_512(M, N) __m512d Aval##M = _mm512_maskz_loadu_pd(mask, &A[lda * k + i + (M*8)])
#define BROADCAST_LOAD_B_512(M, N) __m512d Bval##N = _mm512_broadcastsd_pd(_mm_load_sd(&B[ldb * k + j + N]))
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_pd(Aval##M, Bval##N, result##M##N)
#define BROADCAST_LOAD_A_512(M, N) __m512d Aval##M = _mm512_broadcastsd_pd(_mm_load_sd(&A[lda * k + i + M]))
#define LOAD_B_512(M, N) __m512d Bval##N = _mm512_loadu_pd(&B[ldb * k + j + (N*8)])
#define MASK_LOAD_B_512(M, N) __m512d Bval##N = _mm512_maskz_loadu_pd(mask, &B[ldb * k + j + (N*8)])
#if defined(B0)
#define STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
_mm512_storeu_pd(&C[(j+N)*ldc + i + (M*8)], result##M##N)
#define MASK_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
_mm512_mask_storeu_pd(&C[(j+N)*ldc + i + (M*8)], mask, result##M##N)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
_mm512_i64scatter_pd(&C[(j + N*8)*ldc + i + M], vindex_n, result##M##N, 8);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
_mm512_mask_i64scatter_pd(&C[(j + N*8)*ldc + i + M], mask, vindex_n, result##M##N, 8)
#else
#define STORE_512(M, N) \
result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
asm("vfmadd231pd (%1), %2, %0": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*8)]), "v"(beta_512)); \
_mm512_storeu_pd(&C[(j+N)*ldc + i + (M*8)], result##M##N)
#define MASK_STORE_512(M, N) \
result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
asm("vfmadd231pd (%1), %2, %0 %{%3%}": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*8)]), "v"(beta_512), "k"(mask)); \
_mm512_mask_storeu_pd(&C[(j+N)*ldc + i + (M*8)], mask, result##M##N)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
__m512d tmp##M##N = _mm512_i64gather_pd(vindex_n, &C[(j + N*8)*ldc + i + M], 8); \
result##M##N = _mm512_fmadd_pd(tmp##M##N, beta_512, result##M##N); \
_mm512_i64scatter_pd(&C[(j + N*8)*ldc + i + M], vindex_n, result##M##N, 8);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
__m512d tmp##M##N = _mm512_mask_i64gather_pd(_mm512_setzero_pd(), mask, vindex_n, &C[(j + N*8)*ldc + i + M], 8); \
result##M##N = _mm512_fmadd_pd(tmp##M##N, beta_512, result##M##N); \
_mm512_mask_i64scatter_pd(&C[(j + N*8)*ldc + i + M], mask, vindex_n, result##M##N, 8);
#endif
#if defined(B0)
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
// column major
BLASLONG i, j, k;
BLASLONG m32 = M & ~31;
BLASLONG m16 = M & ~15;
BLASLONG m8 = M & ~7;
BLASLONG m4 = M & ~3;
BLASLONG m2 = M & ~1;
BLASLONG n32 = N & ~31;
BLASLONG n16 = N & ~15;
BLASLONG n8 = N & ~7;
BLASLONG n6 = N - (N % 6);
BLASLONG n4 = N & ~3;
BLASLONG n2 = N & ~1;
__m512d alpha_512 = _mm512_broadcastsd_pd(_mm_load_sd(&alpha));
#if !defined(B0)
__m512d beta_512 = _mm512_broadcastsd_pd(_mm_load_sd(&beta));
#endif
for (i = 0; i < m32; i += 32) {
for (j = 0; j < n6; j += 6) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
DECLARE_RESULT_512(0, 4); DECLARE_RESULT_512(1, 4); DECLARE_RESULT_512(2, 4); DECLARE_RESULT_512(3, 4);
DECLARE_RESULT_512(0, 5); DECLARE_RESULT_512(1, 5); DECLARE_RESULT_512(2, 5); DECLARE_RESULT_512(3, 5);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
MATMUL_512(0, 4); MATMUL_512(1, 4); MATMUL_512(2, 4); MATMUL_512(3, 4);
MATMUL_512(0, 5); MATMUL_512(1, 5); MATMUL_512(2, 5); MATMUL_512(3, 5);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
STORE_512(0, 2); STORE_512(1, 2); STORE_512(2, 2); STORE_512(3, 2);
STORE_512(0, 3); STORE_512(1, 3); STORE_512(2, 3); STORE_512(3, 3);
STORE_512(0, 4); STORE_512(1, 4); STORE_512(2, 4); STORE_512(3, 4);
STORE_512(0, 5); STORE_512(1, 5); STORE_512(2, 5); STORE_512(3, 5);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
}
}
for (; i < m16; i += 16) {
for (j = 0; j < n8; j += 8) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
DECLARE_RESULT_512(0, 4); DECLARE_RESULT_512(1, 4);
DECLARE_RESULT_512(0, 5); DECLARE_RESULT_512(1, 5);
DECLARE_RESULT_512(0, 6); DECLARE_RESULT_512(1, 6);
DECLARE_RESULT_512(0, 7); DECLARE_RESULT_512(1, 7);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
BROADCAST_LOAD_B_512(x, 6); BROADCAST_LOAD_B_512(x, 7);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
MATMUL_512(0, 4); MATMUL_512(1, 4);
MATMUL_512(0, 5); MATMUL_512(1, 5);
MATMUL_512(0, 6); MATMUL_512(1, 6);
MATMUL_512(0, 7); MATMUL_512(1, 7);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
STORE_512(0, 2); STORE_512(1, 2);
STORE_512(0, 3); STORE_512(1, 3);
STORE_512(0, 4); STORE_512(1, 4);
STORE_512(0, 5); STORE_512(1, 5);
STORE_512(0, 6); STORE_512(1, 6);
STORE_512(0, 7); STORE_512(1, 7);
}
for (;j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
STORE_512(0, 2); STORE_512(1, 2);
STORE_512(0, 3); STORE_512(1, 3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
STORE_512(0, 0); STORE_512(1, 0);
}
}
for (; i < m8; i += 8) {
for (j = 0; j < n8; j += 8) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
DECLARE_RESULT_512(0, 4);
DECLARE_RESULT_512(0, 5);
DECLARE_RESULT_512(0, 6);
DECLARE_RESULT_512(0, 7);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
BROADCAST_LOAD_B_512(x, 6); BROADCAST_LOAD_B_512(x, 7);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
MATMUL_512(0, 4);
MATMUL_512(0, 5);
MATMUL_512(0, 6);
MATMUL_512(0, 7);
}
STORE_512(0, 0);
STORE_512(0, 1);
STORE_512(0, 2);
STORE_512(0, 3);
STORE_512(0, 4);
STORE_512(0, 5);
STORE_512(0, 6);
STORE_512(0, 7);
}
for (; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
STORE_512(0, 0);
STORE_512(0, 1);
STORE_512(0, 2);
STORE_512(0, 3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
STORE_512(0, 0);
STORE_512(0, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
STORE_512(0, 0);
}
}
int mm = M - i;
if (mm >= 6) {
register __mmask16 mask asm("k1") = (1UL << mm) - 1;
for (j = 0; j < n8; j += 8) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
DECLARE_RESULT_512(0, 4);
DECLARE_RESULT_512(0, 5);
DECLARE_RESULT_512(0, 6);
DECLARE_RESULT_512(0, 7);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
BROADCAST_LOAD_B_512(x, 6); BROADCAST_LOAD_B_512(x, 7);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
MATMUL_512(0, 4);
MATMUL_512(0, 5);
MATMUL_512(0, 6);
MATMUL_512(0, 7);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
MASK_STORE_512(0, 2);
MASK_STORE_512(0, 3);
MASK_STORE_512(0, 4);
MASK_STORE_512(0, 5);
MASK_STORE_512(0, 6);
MASK_STORE_512(0, 7);
}
for (; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
MASK_STORE_512(0, 2);
MASK_STORE_512(0, 3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
MASK_STORE_512(0, 0);
}
} else if (mm > 0) {
long long index_n[8];
for (int ii = 0; ii < 8; ii++) {
index_n[ii] = ii * ldc;
}
__m512i vindex_n = _mm512_loadu_si512(index_n);
for (; i < m4; i += 4) {
for (j = 0; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
LOAD_B_512(x, 2);
LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0); SCATTER_STORE_512(2, 0); SCATTER_STORE_512(3, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1); SCATTER_STORE_512(2, 1); SCATTER_STORE_512(3, 1);
SCATTER_STORE_512(0, 2); SCATTER_STORE_512(1, 2); SCATTER_STORE_512(2, 2); SCATTER_STORE_512(3, 2);
SCATTER_STORE_512(0, 3); SCATTER_STORE_512(1, 3); SCATTER_STORE_512(2, 3); SCATTER_STORE_512(3, 3);
}
for (; j < n16; j += 16) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0); SCATTER_STORE_512(2, 0); SCATTER_STORE_512(3, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1); SCATTER_STORE_512(2, 1); SCATTER_STORE_512(3, 1);
}
__mmask8 mask = 0xff;
for (; j < N; j += 8) {
int remains = N - j;
if (remains < 8) mask = (1UL << remains) - 1;
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
MASK_SCATTER_STORE_512(0, 0); MASK_SCATTER_STORE_512(1, 0); MASK_SCATTER_STORE_512(2, 0); MASK_SCATTER_STORE_512(3, 0);
}
}
for (; i < m2; i += 2) {
for (j = 0; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
LOAD_B_512(x, 2);
LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
SCATTER_STORE_512(0, 2); SCATTER_STORE_512(1, 2);
SCATTER_STORE_512(0, 3); SCATTER_STORE_512(1, 3);
}
for (; j < n16; j += 16) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
}
__mmask8 mask = 0xff;
for (; j < N; j += 8) {
int remains = N - j;
if (remains < 8) mask = (1UL << remains) - 1;
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
MASK_SCATTER_STORE_512(0, 0); MASK_SCATTER_STORE_512(1, 0);
}
}
for (; i < M; i += 1) {
for (j = 0; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
LOAD_B_512(x, 2);
LOAD_B_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
SCATTER_STORE_512(0, 0);
SCATTER_STORE_512(0, 1);
SCATTER_STORE_512(0, 2);
SCATTER_STORE_512(0, 3);
}
for (; j < n16; j += 16) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
SCATTER_STORE_512(0, 0);
SCATTER_STORE_512(0, 1);
}
__mmask8 mask = 0xff;
for (; j < N; j += 8) {
int remains = N - j;
if (remains < 8) mask = (1UL << remains) - 1;
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
MASK_SCATTER_STORE_512(0, 0);
}
}
}
return 0;
}

44
kernel/x86_64/dgemm_small_kernel_permit_skylakex.c Normal file
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@@ -0,0 +1,44 @@
/***************************************************************************
Copyright (c) 2021, 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"
int CNAME(int transa, int transb, BLASLONG M, BLASLONG N, BLASLONG K, FLOAT alpha, FLOAT beta)
{
double MNK = (double) M * (double) N * (double) K;
if (MNK > 100.0*100.0*100.0) // disable for big size matrix
return 0;
if (transa && !transb) {
/* TN kernel perform not good when:
* 1. C matrix is too big
* 2. K is too small
*/
if (M * N > 1200 || K < 32)
return 0;
}
return 1;
}

322
kernel/x86_64/dgemm_small_kernel_tn_skylakex.c Normal file
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@@ -0,0 +1,322 @@
/***************************************************************************
Copyright (c) 2021, 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 <immintrin.h>
#include "common.h"
#include <stdio.h>
#include <memory.h>
#define DECLARE_RESULT_512(M, N) __m512d result##M##N = _mm512_setzero_pd()
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_pd(Aval##M, Bval##N, result##M##N)
#define LOAD_KA_512(M, N) __m512d Aval##M = _mm512_loadu_pd(&A[(i + M)*lda + k]);
#define LOAD_KB_512(M, N) __m512d Bval##N = _mm512_loadu_pd(&B[(j + N)*ldb + k])
#define MASK_LOAD_KA_512(M, N) __m512d Aval##M = _mm512_maskz_loadu_pd(mask, &A[(i + M)*lda + k])
#define MASK_LOAD_KB_512(M, N) __m512d Bval##N = _mm512_maskz_loadu_pd(mask, &B[(j + N)*ldb + k])
#define REDUCE_4(rr0, rr1, rr2, rr3) \
__m512d r0, r1, r2, r3, t0, t1, t2, t3;\
r0 = _mm512_unpacklo_pd(rr0, rr1); r1 = _mm512_unpackhi_pd(rr0, rr1); \
r2 = _mm512_unpacklo_pd(rr2, rr3); r3 = _mm512_unpackhi_pd(rr2, rr3); \
t0 = _mm512_permutex2var_pd(r0, idx_lo, r2); t1 = _mm512_permutex2var_pd(r1, idx_lo, r3); \
t2 = _mm512_permutex2var_pd(r0, idx_hi, r2); t3 = _mm512_permutex2var_pd(r1, idx_hi, r3); \
r0 = _mm512_add_pd(t0, t1); r1 = _mm512_add_pd(t2, t3); t0 = _mm512_add_pd(r0, r1); \
__m256d s0, s1; \
s0 = _mm512_extractf64x4_pd(t0, 0); s1 = _mm512_extractf64x4_pd(t0, 1); \
s0 = _mm256_add_pd(s0, s1); s0 = _mm256_mul_pd(alpha_256, s0);
#define REDUCE_M4(N) REDUCE_4(result0##N, result1##N, result2##N, result3##N)
#define REDUCE_N4(M) REDUCE_4(result##M##0, result##M##1, result##M##2, result##M##3)
#if defined(B0)
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N)
#define STORE_M4(N, s0) _mm256_storeu_pd(&C[(j + N)*ldc + i], s0);
#define STORE_N4(M, s0) _mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8);
#else
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N) + beta * C[(j+N)*ldc + i + M]
#define STORE_M4(N, s0) \
asm("vfmadd231pd (%1), %2, %0": "+v"(s0):"r"(&C[(j + N)*ldc + i]), "v"(beta_256)); \
_mm256_storeu_pd(&C[(j + N)*ldc + i], s0);
#define STORE_N4(M, s0) \
s0 = _mm256_fmadd_pd(_mm256_i64gather_pd(&C[j*ldc + i + M], vindex_n, 8), beta_256, s0); \
_mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8);
#endif
#define STORE_REDUCE_M4(N) {\
REDUCE_M4(N) \
STORE_M4(N, s0) \
}
#define STORE_REDUCE_N4(M) {\
REDUCE_N4(M) \
STORE_N4(M, s0) \
}
#if defined(B0)
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
// column major
BLASLONG i, j, k;
BLASLONG m4 = M & ~3;
BLASLONG m2 = M & ~1;
BLASLONG n4 = N & ~3;
BLASLONG n2 = N & ~1;
BLASLONG k8 = K & ~7;
__mmask8 mask;
__m256i vindex_n = _mm256_set_epi64x(ldc*3, ldc*2, ldc, 0);
__m256d alpha_256 = _mm256_broadcast_sd(&alpha);
#if !defined(B0)
__m256d beta_256 = _mm256_broadcast_sd(&beta);
#endif
long long permute_table[] = {
0, 1, 0|8, 1|8, 4, 5, 4|8, 5|8,
2, 3, 2|8, 3|8, 6, 7, 6|8, 7|8,
};
__m512i idx_lo = _mm512_loadu_si512(permute_table);
__m512i idx_hi = _mm512_loadu_si512(permute_table + 8);
for (i = 0; i < m4; i += 4) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
STORE_REDUCE_M4(0); STORE_REDUCE_M4(1); STORE_REDUCE_M4(2); STORE_REDUCE_M4(3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
STORE_REDUCE_M4(0); STORE_REDUCE_M4(1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
STORE_REDUCE_M4(0);
}
}
for (; i < m2; i += 2) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
STORE_REDUCE_N4(0); STORE_REDUCE_N4(1);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
STORE_REDUCE(0, 1); STORE_REDUCE(1, 1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
}
}
for (; i < M; i += 1) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
STORE_REDUCE_N4(0);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
STORE_REDUCE(0, 0);
STORE_REDUCE(0, 1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < k8; k += 8) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0);
}
STORE_REDUCE(0, 0);
}
}
return 0;
}

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kernel/x86_64/dgemm_small_kernel_tt_skylakex.c Normal file
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@@ -0,0 +1,392 @@
/***************************************************************************
Copyright (c) 2021, 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 <immintrin.h>
#include "common.h"
#include <stdio.h>
#define DECLARE_RESULT_512(M, N) __m512d result##M##N = _mm512_setzero_pd()
#define BROADCAST_LOAD_A_512(M, N) __m512d Aval##M = _mm512_broadcastsd_pd(_mm_load_sd(&A[k + lda * (i+M)]))
#define LOAD_B_512(M,N) __m512d Bval##N = _mm512_loadu_pd(&B[ldb * k + j + (N*8)])
#define MASK_LOAD_B_512(M, N) __m512d Bval##N = _mm512_maskz_loadu_pd(mask, &B[ldb * k + j + (N*8)])
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_pd(Aval##M, Bval##N, result##M##N)
#if defined(B0)
#define STORE_8xy(v, N, x, y) _mm512_storeu_pd(&C[(j + N*8 + x + y*8)*ldc + i], v)
#define STORE_4xy(v, N, x, y) _mm256_storeu_pd(&C[(j + N*8 + x + y*4)*ldc + i], v)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
_mm512_i64scatter_pd(&C[(j + N*8)*ldc + i + M], vindex_n, result##M##N, 8);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
_mm512_mask_i64scatter_pd(&C[(j + N*8)*ldc + i + M], mask, vindex_n, result##M##N, 8);
#else
#define STORE_8xy(v, N, x, y) \
asm("vfmadd231pd (%1), %2, %0": "+v"(v): "r"(&C[(j + N*8 + x + y*8)*ldc + i]), "v"(beta_512)); \
_mm512_storeu_pd(&C[(j + N*8 + x + y*8)*ldc + i], v)
#define STORE_4xy(v, N, x, y) \
asm("vfmadd231pd (%1), %2, %0": "+v"(v): "r"(&C[(j + N*8 + x + y*4)*ldc + i]), "v"(beta_256)); \
_mm256_storeu_pd(&C[(j + N*8 + x + y*4)*ldc + i], v)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
__m512d tmp##M##N = _mm512_i64gather_pd(vindex_n, &C[(j + N*8)*ldc + i + M], 8); \
result##M##N = _mm512_fmadd_pd(tmp##M##N, beta_512, result##M##N); \
_mm512_i64scatter_pd(&C[(j + N*8)*ldc + i + M], vindex_n, result##M##N, 8);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
__m512d tmp##M##N = _mm512_mask_i64gather_pd(_mm512_setzero_pd(), mask, vindex_n, &C[(j + N*8)*ldc + i + M], 8); \
result##M##N = _mm512_fmadd_pd(tmp##M##N, beta_512, result##M##N); \
_mm512_mask_i64scatter_pd(&C[(j + N*8)*ldc + i + M], mask, vindex_n, result##M##N, 8);
#endif
#define REORDER_8x8(r0, r1, r2, r3, r4, r5, r6, r7) \
__m512d t0, t1, t2, t3, t4, t5, t6, t7; \
t0 = _mm512_unpacklo_pd(r0, r1); \
t1 = _mm512_unpackhi_pd(r0, r1); \
t2 = _mm512_unpacklo_pd(r2, r3); \
t3 = _mm512_unpackhi_pd(r2, r3); \
t4 = _mm512_unpacklo_pd(r4, r5); \
t5 = _mm512_unpackhi_pd(r4, r5); \
t6 = _mm512_unpacklo_pd(r6, r7); \
t7 = _mm512_unpackhi_pd(r6, r7); \
r0 = _mm512_shuffle_f64x2(t0, t2, 0x88); \
r1 = _mm512_shuffle_f64x2(t1, t3, 0x88); \
r2 = _mm512_shuffle_f64x2(t0, t2, 0xdd); \
r3 = _mm512_shuffle_f64x2(t1, t3, 0xdd); \
r4 = _mm512_shuffle_f64x2(t4, t6, 0x88); \
r5 = _mm512_shuffle_f64x2(t5, t7, 0x88); \
r6 = _mm512_shuffle_f64x2(t4, t6, 0xdd); \
r7 = _mm512_shuffle_f64x2(t5, t7, 0xdd); \
t0 = _mm512_permutex2var_pd(r0, idx_lo, r4); \
t1 = _mm512_permutex2var_pd(r1, idx_lo, r5); \
t2 = _mm512_permutex2var_pd(r2, idx_lo, r6); \
t3 = _mm512_permutex2var_pd(r3, idx_lo, r7); \
t4 = _mm512_permutex2var_pd(r0, idx_hi, r4); \
t5 = _mm512_permutex2var_pd(r1, idx_hi, r5); \
t6 = _mm512_permutex2var_pd(r2, idx_hi, r6); \
t7 = _mm512_permutex2var_pd(r3, idx_hi, r7); \
t0 = _mm512_mul_pd(t0, alpha_512); \
t1 = _mm512_mul_pd(t1, alpha_512); \
t2 = _mm512_mul_pd(t2, alpha_512); \
t3 = _mm512_mul_pd(t3, alpha_512); \
t4 = _mm512_mul_pd(t4, alpha_512); \
t5 = _mm512_mul_pd(t5, alpha_512); \
t6 = _mm512_mul_pd(t6, alpha_512); \
t7 = _mm512_mul_pd(t7, alpha_512);
#define SAVE_8(N, x) {\
STORE_8xy(t##x, N, x, 0); \
}
#define REORDER_STORE_8x8(N) {\
REORDER_8x8(result0##N, result1##N, result2##N, result3##N, result4##N, result5##N, result6##N, result7##N); \
SAVE_8(N, 0); SAVE_8(N, 1); SAVE_8(N, 2); SAVE_8(N, 3); SAVE_8(N, 4); SAVE_8(N, 5); SAVE_8(N, 6); SAVE_8(N, 7); \
}
#define MASK_SAVE_8() \
switch (nn) { \
case 8: SAVE_8(0, 7); \
case 7: SAVE_8(0, 6); \
case 6: SAVE_8(0, 5); \
case 5: SAVE_8(0, 4); \
case 4: SAVE_8(0, 3); \
case 3: SAVE_8(0, 2); \
case 2: SAVE_8(0, 1); \
case 1: SAVE_8(0, 0); \
}
#define MASK_REORDER_STORE_8x8(N) {\
REORDER_8x8(result0##N, result1##N, result2##N, result3##N, result4##N, result5##N, result6##N, result7##N); \
MASK_SAVE_8(); \
}
#define REORDER_4x8(r0, r1, r2, r3) \
__m512d t0, t1, t2, t3; \
t0 = _mm512_unpacklo_pd(r0, r1); \
t1 = _mm512_unpackhi_pd(r0, r1); \
t2 = _mm512_unpacklo_pd(r2, r3); \
t3 = _mm512_unpackhi_pd(r2, r3); \
r0 = _mm512_permutex2var_pd(t0, idx_lo, t2); \
r1 = _mm512_permutex2var_pd(t1, idx_lo, t3); \
r2 = _mm512_permutex2var_pd(t0, idx_hi, t2); \
r3 = _mm512_permutex2var_pd(t1, idx_hi, t3); \
t0 = _mm512_mul_pd(r0, alpha_512); \
t1 = _mm512_mul_pd(r1, alpha_512); \
t2 = _mm512_mul_pd(r2, alpha_512); \
t3 = _mm512_mul_pd(r3, alpha_512);
#define SAVE_4(N, x, y) {\
__m256d v4 = _mm512_extractf64x4_pd(t##x, y); \
STORE_4xy(v4, N, x, y); \
}
#define REORDER_STORE_4x8(N) {\
REORDER_4x8(result0##N, result1##N, result2##N, result3##N); \
SAVE_4(N, 0, 0); SAVE_4(N, 1, 0); SAVE_4(N, 2, 0); SAVE_4(N, 3, 0); \
SAVE_4(N, 0, 1); SAVE_4(N, 1, 1); SAVE_4(N, 2, 1); SAVE_4(N, 3, 1); \
}
#define MASK_SAVE_4() \
switch (nn) { \
case 8: SAVE_4(0, 3, 1); \
case 7: SAVE_4(0, 2, 1); \
case 6: SAVE_4(0, 1, 1); \
case 5: SAVE_4(0, 0, 1); \
case 4: SAVE_4(0, 3, 0); \
case 3: SAVE_4(0, 2, 0); \
case 2: SAVE_4(0, 1, 0); \
case 1: SAVE_4(0, 0, 0); \
}
#define MASK_REORDER_STORE_4x8(N) {\
REORDER_4x8(result0##N, result1##N, result2##N, result3##N); \
MASK_SAVE_4(); \
}
#if defined(B0)
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
// column major
BLASLONG i, j, k;
BLASLONG m8 = M & ~7;
BLASLONG m4 = M & ~3;
BLASLONG m2 = M & ~1;
BLASLONG n32 = N & ~31;
BLASLONG n16 = N & ~15;
__m512d alpha_512 = _mm512_broadcastsd_pd(_mm_load_sd(&alpha));
#if !defined(B0)
__m512d beta_512 = _mm512_broadcastsd_pd(_mm_load_sd(&beta));
__m256d beta_256 = _mm256_broadcastsd_pd(_mm_load_sd(&beta));
#endif
long long permute_table[] = {
0, 1, 4, 5, 0|8, 1|8, 4|8, 5|8,
2, 3, 6, 7, 2|8, 3|8, 6|8, 7|8,
};
__m512i idx_lo = _mm512_loadu_si512(permute_table);
__m512i idx_hi = _mm512_loadu_si512(permute_table + 8);
for (i = 0; i < m8; i += 8) {
for (j = 0; j < n16; j += 16) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(4, 0); DECLARE_RESULT_512(5, 0); DECLARE_RESULT_512(6, 0); DECLARE_RESULT_512(7, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(4, 1); DECLARE_RESULT_512(5, 1); DECLARE_RESULT_512(6, 1); DECLARE_RESULT_512(7, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
BROADCAST_LOAD_A_512(4, x); BROADCAST_LOAD_A_512(5, x); BROADCAST_LOAD_A_512(6, x); BROADCAST_LOAD_A_512(7, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(4, 0); MATMUL_512(5, 0); MATMUL_512(6, 0); MATMUL_512(7, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(4, 1); MATMUL_512(5, 1); MATMUL_512(6, 1); MATMUL_512(7, 1);
}
REORDER_STORE_8x8(0);
REORDER_STORE_8x8(1);
}
__mmask8 mask = 0xff;
int nn = 8;
for (; j < N; j += 8) {
if (N - j < 8) {
nn = N - j;
mask = (1UL << nn) - 1;
}
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(4, 0); DECLARE_RESULT_512(5, 0); DECLARE_RESULT_512(6, 0); DECLARE_RESULT_512(7, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
BROADCAST_LOAD_A_512(4, x); BROADCAST_LOAD_A_512(5, x); BROADCAST_LOAD_A_512(6, x); BROADCAST_LOAD_A_512(7, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(4, 0); MATMUL_512(5, 0); MATMUL_512(6, 0); MATMUL_512(7, 0);
}
MASK_REORDER_STORE_8x8(0);
}
}
for (; i < m4; i += 4) {
long long permute_table2[] = {
0, 1, 0|8, 1|8, 4, 5, 4|8, 5|8,
2, 3, 2|8, 3|8, 6, 7, 6|8, 7|8,
};
idx_lo = _mm512_loadu_si512(permute_table2);
idx_hi = _mm512_loadu_si512(permute_table2 + 8);
for (j = 0; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1); LOAD_B_512(x, 2); LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
REORDER_STORE_4x8(0);
REORDER_STORE_4x8(1);
REORDER_STORE_4x8(2);
REORDER_STORE_4x8(3);
}
for (; j < n16; j += 16) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
REORDER_STORE_4x8(0);
REORDER_STORE_4x8(1);
}
__mmask8 mask = 0xff;
int nn = 8;
for (; j < N; j += 8) {
if (N - j < 8) {
nn = N - j;
mask = (1UL << nn) - 1;
}
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
MASK_REORDER_STORE_4x8(0);
}
}
if (i < M) {
long long index_n[8];
for (int ii = 0; ii < 8; ii++) {
index_n[ii] = ii * ldc;
}
__m512i vindex_n = _mm512_loadu_si512(index_n);
#if !defined(B0)
__m512d beta_512 = _mm512_broadcastsd_pd(_mm_load_sd(&beta));
#endif
for (; i < m2; i += 2) {
for (j = 0; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1); LOAD_B_512(x, 2); LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
SCATTER_STORE_512(0, 2); SCATTER_STORE_512(1, 2);
SCATTER_STORE_512(0, 3); SCATTER_STORE_512(1, 3);
}
for (; j < n16; j += 16) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
}
__mmask8 mask = 0xff;
int nn = 8;
for (; j < N; j += 8) {
if (N - j < 8) {
nn = N - j;
mask = (1UL << nn) - 1;
}
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
MASK_SCATTER_STORE_512(0, 0); MASK_SCATTER_STORE_512(1, 0);
}
}
for (; i < M; i += 1) {
for (j = 0; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1); LOAD_B_512(x, 2); LOAD_B_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
SCATTER_STORE_512(0, 0);
SCATTER_STORE_512(0, 1);
SCATTER_STORE_512(0, 2);
SCATTER_STORE_512(0, 3);
}
for (; j < n16; j += 16) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
SCATTER_STORE_512(0, 0);
SCATTER_STORE_512(0, 1);
}
__mmask8 mask = 0xff;
int nn = 8;
for (; j < N; j += 8) {
if (N - j < 8) {
nn = N - j;
mask = (1UL << nn) - 1;
}
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
MASK_SCATTER_STORE_512(0, 0);
}
}
}
return 0;
}

612
kernel/x86_64/sgemm_small_kernel_nn_skylakex.c Normal file
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@@ -0,0 +1,612 @@
/***************************************************************************
Copyright (c) 2021, 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 <immintrin.h>
#include "common.h"
#include <stdio.h>
#include <memory.h>
#define DECLARE_RESULT_512(M, N) __m512 result##M##N = _mm512_setzero_ps()
#define LOAD_A_512(M, N) __m512 Aval##M = _mm512_loadu_ps(&A[lda * k + i + (M*16)])
#define MASK_LOAD_A_512(M, N) __m512 Aval##M = _mm512_maskz_loadu_ps(mask, &A[lda * k + i + (M*16)])
#define BROADCAST_LOAD_B_512(M, N) __m512 Bval##N = _mm512_broadcastss_ps(_mm_load_ss(&B[k + ldb * (j+N)]))
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_ps(Aval##M, Bval##N, result##M##N)
#if defined(B0)
#define STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
_mm512_storeu_ps(&C[(j+N)*ldc + i + (M*16)], result##M##N)
#define MASK_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
_mm512_mask_storeu_ps(&C[(j+N)*ldc + i + (M*16)], mask, result##M##N)
#else
#define STORE_512(M, N) \
result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
asm("vfmadd231ps (%1), %2, %0": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*16)]), "v"(beta_512)); \
_mm512_storeu_ps(&C[(j+N)*ldc + i + (M*16)], result##M##N)
#define MASK_STORE_512(M, N) \
result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
asm("vfmadd231ps (%1), %2, %0 %{%3%}": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*16)]), "v"(beta_512), "k"(mask)); \
_mm512_mask_storeu_ps(&C[(j+N)*ldc + i + (M*16)], mask, result##M##N)
#endif
#define LOAD_KA_512(M, N) __m512 Aval##M = _mm512_loadu_ps(&mbuf[(mi + M)*K + k]);
#define LOAD_KB_512(M, N) __m512 Bval##N = _mm512_loadu_ps(&B[(j + N)*ldb + k])
#define MASK_LOAD_KA_512(M, N) __m512 Aval##M = _mm512_maskz_loadu_ps(mask, &mbuf[(mi + M)*K + k])
#define MASK_LOAD_KB_512(M, N) __m512 Bval##N = _mm512_maskz_loadu_ps(mask, &B[(j + N)*ldb + k])
#define REDUCE_4(rr0, rr1, rr2, rr3) \
__m512 r0, r1, r2, r3, t0, t1, t2, t3;\
r0 = _mm512_unpacklo_ps(rr0, rr1); r1 = _mm512_unpackhi_ps(rr0, rr1); \
r2 = _mm512_unpacklo_ps(rr2, rr3); r3 = _mm512_unpackhi_ps(rr2, rr3); \
t0 = _mm512_shuffle_ps(r0, r2, _MM_SHUFFLE(1, 0, 1, 0)); t1 = _mm512_shuffle_ps(r0, r2, _MM_SHUFFLE(3, 2, 3, 2)); \
t2 = _mm512_shuffle_ps(r1, r3, _MM_SHUFFLE(1, 0, 1, 0)); t3 = _mm512_shuffle_ps(r1, r3, _MM_SHUFFLE(3, 2, 3, 2)); \
r0 = _mm512_add_ps(t0, t1); r1 = _mm512_add_ps(t2, t3); t0 = _mm512_add_ps(r0, r1); \
__m128 s0, s1, s2, s3; \
s0 = _mm512_extractf32x4_ps(t0, 0); s1 = _mm512_extractf32x4_ps(t0, 1); s2 = _mm512_extractf32x4_ps(t0, 2); s3 = _mm512_extractf32x4_ps(t0, 3); \
s0 = _mm_maskz_add_ps(mask8, s0, s1); s2 = _mm_maskz_add_ps(mask8, s2, s3); s0 = _mm_maskz_add_ps(mask8, s0, s2); \
s0 = _mm_maskz_mul_ps(mask8, alpha_128, s0);
#define REDUCE_M4(N) REDUCE_4(result0##N, result1##N, result2##N, result3##N)
#define REDUCE_N4(M) REDUCE_4(result##M##0, result##M##1, result##M##2, result##M##3)
#if defined(B0)
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_ps(result##M##N);
#define STORE_REDUCE_M4(N) {\
REDUCE_M4(N) \
_mm_mask_storeu_ps(&C[(j + N)*ldc + i], mask8, s0); \
}
#define STORE_REDUCE_N4(M) {\
REDUCE_N4(M) \
_mm_i32scatter_ps(&C[j*ldc + i + M], vindex_n, s0, 4); \
}
#else
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_ps(result##M##N) + beta * C[(j+N)*ldc + i + M];
#define STORE_REDUCE_M4(N) {\
REDUCE_M4(N) \
asm("vfmadd231ps (%1), %2, %0": "+v"(s0):"r"(&C[(j + N)*ldc + i]), "v"(beta_128)); \
_mm_mask_storeu_ps(&C[(j + N)*ldc + i], mask8, s0); \
}
#define STORE_REDUCE_N4(M) {\
REDUCE_N4(M) \
s1 = _mm_i32gather_ps(&C[j*ldc + i + M], vindex_n, 4); \
s0 = _mm_fmadd_ps(s1, beta_128, s0); \
_mm_i32scatter_ps(&C[j*ldc + i + M], vindex_n, s0, 4); \
}
#endif
#if defined(B0)
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
// column major
BLASLONG i, j, k;
BLASLONG m64 = M & ~63;
BLASLONG m32 = M & ~31;
BLASLONG m16 = M & ~15;
BLASLONG m4 = M & ~3;
BLASLONG m2 = M & ~1;
BLASLONG n6 = N - (N % 6);
BLASLONG n4 = N & ~3;
BLASLONG n2 = N & ~1;
__m512 alpha_512 = _mm512_broadcastss_ps(_mm_load_ss(&alpha));
#if !defined(B0)
__m512 beta_512 = _mm512_broadcastss_ps(_mm_load_ss(&beta));
#endif
for (i = 0; i < m64; i += 64) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
STORE_512(0, 2); STORE_512(1, 2); STORE_512(2, 2); STORE_512(3, 2);
STORE_512(0, 3); STORE_512(1, 3); STORE_512(2, 3); STORE_512(3, 3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
}
}
for (; i < m32; i += 32) {
for (j = 0; j < n6; j += 6) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
DECLARE_RESULT_512(0, 4); DECLARE_RESULT_512(1, 4);
DECLARE_RESULT_512(0, 5); DECLARE_RESULT_512(1, 5);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
MATMUL_512(0, 4); MATMUL_512(1, 4);
MATMUL_512(0, 5); MATMUL_512(1, 5);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
STORE_512(0, 2); STORE_512(1, 2);
STORE_512(0, 3); STORE_512(1, 3);
STORE_512(0, 4); STORE_512(1, 4);
STORE_512(0, 5); STORE_512(1, 5);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
STORE_512(0, 0); STORE_512(1, 0);
}
}
for (; i < m16; i += 16) {
for (j = 0; j < n6; j += 6) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
DECLARE_RESULT_512(0, 4);
DECLARE_RESULT_512(0, 5);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
MATMUL_512(0, 4);
MATMUL_512(0, 5);
}
STORE_512(0, 0);
STORE_512(0, 1);
STORE_512(0, 2);
STORE_512(0, 3);
STORE_512(0, 4);
STORE_512(0, 5);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
STORE_512(0, 0);
STORE_512(0, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
STORE_512(0, 0);
}
}
int mm = M - i;
if (!mm) return 0;
if (mm > 8 || K < 32) {
register __mmask16 mask asm("k1") = (1UL << mm) - 1;
for (j = 0; j < n6; j += 6) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
DECLARE_RESULT_512(0, 4);
DECLARE_RESULT_512(0, 5);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
MATMUL_512(0, 4);
MATMUL_512(0, 5);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
MASK_STORE_512(0, 2);
MASK_STORE_512(0, 3);
MASK_STORE_512(0, 4);
MASK_STORE_512(0, 5);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
MASK_STORE_512(0, 0);
}
} else {
/* M => [1, 8]
*
* This kernel use dot-like style to calc a value - C(x, y):
* C(x, y) = A(x, 0)*B(0, y) + A(x, 1)*B(1, y) +....+ A(x, K)*B(K, y)
*
* Alloc a buf to copy rest of A as row major,
* so memory access from 0 to K is continuous for both A & B.
*
* Loading to zmm and FMA 16 of k at one loop,
* finally reduce_add zmm to a single float result in C(x, y).
*
* Note: performance is bad when K is small.
*/
FLOAT *mbuf = (FLOAT *) malloc(sizeof(FLOAT)*mm*K);
__mmask8 mask8 = (1UL << mm) - 1;
__mmask16 mask;
BLASLONG k16 = K & ~15;
BLASLONG k8 = K & ~7;
for (k = 0; k < k8; k += 8) {
__m256 r0, r1, r2, r3, r4, r5, r6, r7;
__m256 t0, t1, t2, t3, t4, t5, t6, t7;
r0 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(0 + k)]);
r1 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(1 + k)]);
r2 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(2 + k)]);
r3 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(3 + k)]);
r4 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(4 + k)]);
r5 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(5 + k)]);
r6 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(6 + k)]);
r7 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(7 + k)]);
t0 = _mm256_unpacklo_ps(r0, r1);
t1 = _mm256_unpackhi_ps(r0, r1);
t2 = _mm256_unpacklo_ps(r2, r3);
t3 = _mm256_unpackhi_ps(r2, r3);
t4 = _mm256_unpacklo_ps(r4, r5);
t5 = _mm256_unpackhi_ps(r4, r5);
t6 = _mm256_unpacklo_ps(r6, r7);
t7 = _mm256_unpackhi_ps(r6, r7);
r0 = _mm256_shuffle_ps(t0,t2,_MM_SHUFFLE(1,0,1,0));
r1 = _mm256_shuffle_ps(t0,t2,_MM_SHUFFLE(3,2,3,2));
r2 = _mm256_shuffle_ps(t1,t3,_MM_SHUFFLE(1,0,1,0));
r3 = _mm256_shuffle_ps(t1,t3,_MM_SHUFFLE(3,2,3,2));
r4 = _mm256_shuffle_ps(t4,t6,_MM_SHUFFLE(1,0,1,0));
r5 = _mm256_shuffle_ps(t4,t6,_MM_SHUFFLE(3,2,3,2));
r6 = _mm256_shuffle_ps(t5,t7,_MM_SHUFFLE(1,0,1,0));
r7 = _mm256_shuffle_ps(t5,t7,_MM_SHUFFLE(3,2,3,2));
t0 = _mm256_permute2f128_ps(r0, r4, 0x20);
t1 = _mm256_permute2f128_ps(r1, r5, 0x20);
t2 = _mm256_permute2f128_ps(r2, r6, 0x20);
t3 = _mm256_permute2f128_ps(r3, r7, 0x20);
t4 = _mm256_permute2f128_ps(r0, r4, 0x31);
t5 = _mm256_permute2f128_ps(r1, r5, 0x31);
t6 = _mm256_permute2f128_ps(r2, r6, 0x31);
t7 = _mm256_permute2f128_ps(r3, r7, 0x31);
switch (mm) {
case 8: _mm256_storeu_ps(&mbuf[k + 7*K], t7);
case 7: _mm256_storeu_ps(&mbuf[k + 6*K], t6);
case 6: _mm256_storeu_ps(&mbuf[k + 5*K], t5);
case 5: _mm256_storeu_ps(&mbuf[k + 4*K], t4);
case 4: _mm256_storeu_ps(&mbuf[k + 3*K], t3);
case 3: _mm256_storeu_ps(&mbuf[k + 2*K], t2);
case 2: _mm256_storeu_ps(&mbuf[k + 1*K], t1);
case 1: _mm256_storeu_ps(&mbuf[k + 0*K], t0);
}
}
for (; k < K; k++) {
for (int ii = 0; ii < mm; ii++) {
mbuf[k + ii*K] = A[i + lda*k + ii];
}
}
int mi = 0;
mask8 = 0xff; // just use to avoid SSE instruction
__m128 alpha_128 = _mm_broadcast_ss(&alpha);
#if !defined(B0)
__m128 beta_128 = _mm_broadcast_ss(&beta);
#endif
__m128i vindex_n = _mm_set_epi32(ldc*3, ldc*2, ldc, 0);
for (; i < m4; i += 4, mi += 4) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
STORE_REDUCE_M4(0); STORE_REDUCE_M4(1); STORE_REDUCE_M4(2); STORE_REDUCE_M4(3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
STORE_REDUCE_M4(0); STORE_REDUCE_M4(1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
STORE_REDUCE_M4(0);
}
}
for (; i < m2; i += 2, mi += 2) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
STORE_REDUCE_N4(0); STORE_REDUCE_N4(1);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
STORE_REDUCE(0, 1); STORE_REDUCE(1, 1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
}
}
for (; i < M; i += 1, mi += 1) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
STORE_REDUCE_N4(0);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
STORE_REDUCE(0, 0);
STORE_REDUCE(0, 1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0);
}
STORE_REDUCE(0, 0);
}
}
free(mbuf);
}
return 0;
}

535
kernel/x86_64/sgemm_small_kernel_nt_skylakex.c Normal file
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@@ -0,0 +1,535 @@
/***************************************************************************
Copyright (c) 2021, 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 <immintrin.h>
#include "common.h"
#include <stdio.h>
#include <memory.h>
#define DECLARE_RESULT_512(M, N) __m512 result##M##N = _mm512_setzero_ps()
#define LOAD_A_512(M, N) __m512 Aval##M = _mm512_loadu_ps(&A[lda * k + i + (M*16)])
#define MASK_LOAD_A_512(M, N) __m512 Aval##M = _mm512_maskz_loadu_ps(mask, &A[lda * k + i + (M*16)])
#define BROADCAST_LOAD_B_512(M, N) __m512 Bval##N = _mm512_broadcastss_ps(_mm_load_ss(&B[ldb * k + j + N]))
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_ps(Aval##M, Bval##N, result##M##N)
#define BROADCAST_LOAD_A_512(M, N) __m512 Aval##M = _mm512_broadcastss_ps(_mm_load_ss(&A[lda * k + i + M]))
#define LOAD_B_512(M, N) __m512 Bval##N = _mm512_loadu_ps(&B[ldb * k + j + (N*16)])
#define MASK_LOAD_B_512(M, N) __m512 Bval##N = _mm512_maskz_loadu_ps(mask, &B[ldb * k + j + (N*16)])
#if defined(B0)
#define STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
_mm512_storeu_ps(&C[(j+N)*ldc + i + (M*16)], result##M##N)
#define MASK_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
_mm512_mask_storeu_ps(&C[(j+N)*ldc + i + (M*16)], mask, result##M##N)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
_mm512_i32scatter_ps(&C[(j + N*16)*ldc + i + M], vindex_n, result##M##N, 4);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
_mm512_mask_i32scatter_ps(&C[(j + N*16)*ldc + i + M], mask, vindex_n, result##M##N, 4)
#else
#define STORE_512(M, N) \
result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
asm("vfmadd231ps (%1), %2, %0": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*16)]), "v"(beta_512)); \
_mm512_storeu_ps(&C[(j+N)*ldc + i + (M*16)], result##M##N)
#define MASK_STORE_512(M, N) \
result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
asm("vfmadd231ps (%1), %2, %0 %{%3%}": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*16)]), "v"(beta_512), "k"(mask)); \
_mm512_mask_storeu_ps(&C[(j+N)*ldc + i + (M*16)], mask, result##M##N)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
__m512 tmp##M##N = _mm512_i32gather_ps(vindex_n, &C[(j + N*16)*ldc + i + M], 4); \
result##M##N = _mm512_fmadd_ps(tmp##M##N, beta_512, result##M##N); \
_mm512_i32scatter_ps(&C[(j + N*16)*ldc + i + M], vindex_n, result##M##N, 4);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
__m512 tmp##M##N = _mm512_mask_i32gather_ps(_mm512_setzero_ps(), mask, vindex_n, &C[(j + N*16)*ldc + i + M], 4); \
result##M##N = _mm512_fmadd_ps(tmp##M##N, beta_512, result##M##N); \
_mm512_mask_i32scatter_ps(&C[(j + N*16)*ldc + i + M], mask, vindex_n, result##M##N, 4);
#endif
#if defined(B0)
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
// column major
BLASLONG i, j, k;
BLASLONG m64 = M & ~63;
BLASLONG m32 = M & ~31;
BLASLONG m16 = M & ~15;
BLASLONG m4 = M & ~3;
BLASLONG m2 = M & ~1;
BLASLONG n64 = N & ~63;
BLASLONG n32 = N & ~31;
BLASLONG n8 = N & ~7;
BLASLONG n6 = N - (N % 6);
BLASLONG n4 = N & ~3;
BLASLONG n2 = N & ~1;
__m512 alpha_512 = _mm512_broadcastss_ps(_mm_load_ss(&alpha));
#if !defined(B0)
__m512 beta_512 = _mm512_broadcastss_ps(_mm_load_ss(&beta));
#endif
for (i = 0; i < m64; i += 64) {
for (j = 0; j < n6; j += 6) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
DECLARE_RESULT_512(0, 4); DECLARE_RESULT_512(1, 4); DECLARE_RESULT_512(2, 4); DECLARE_RESULT_512(3, 4);
DECLARE_RESULT_512(0, 5); DECLARE_RESULT_512(1, 5); DECLARE_RESULT_512(2, 5); DECLARE_RESULT_512(3, 5);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
MATMUL_512(0, 4); MATMUL_512(1, 4); MATMUL_512(2, 4); MATMUL_512(3, 4);
MATMUL_512(0, 5); MATMUL_512(1, 5); MATMUL_512(2, 5); MATMUL_512(3, 5);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
STORE_512(0, 2); STORE_512(1, 2); STORE_512(2, 2); STORE_512(3, 2);
STORE_512(0, 3); STORE_512(1, 3); STORE_512(2, 3); STORE_512(3, 3);
STORE_512(0, 4); STORE_512(1, 4); STORE_512(2, 4); STORE_512(3, 4);
STORE_512(0, 5); STORE_512(1, 5); STORE_512(2, 5); STORE_512(3, 5);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
}
}
for (; i < m32; i += 32) {
for (j = 0; j < n8; j += 8) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
DECLARE_RESULT_512(0, 4); DECLARE_RESULT_512(1, 4);
DECLARE_RESULT_512(0, 5); DECLARE_RESULT_512(1, 5);
DECLARE_RESULT_512(0, 6); DECLARE_RESULT_512(1, 6);
DECLARE_RESULT_512(0, 7); DECLARE_RESULT_512(1, 7);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
BROADCAST_LOAD_B_512(x, 6); BROADCAST_LOAD_B_512(x, 7);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
MATMUL_512(0, 4); MATMUL_512(1, 4);
MATMUL_512(0, 5); MATMUL_512(1, 5);
MATMUL_512(0, 6); MATMUL_512(1, 6);
MATMUL_512(0, 7); MATMUL_512(1, 7);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
STORE_512(0, 2); STORE_512(1, 2);
STORE_512(0, 3); STORE_512(1, 3);
STORE_512(0, 4); STORE_512(1, 4);
STORE_512(0, 5); STORE_512(1, 5);
STORE_512(0, 6); STORE_512(1, 6);
STORE_512(0, 7); STORE_512(1, 7);
}
for (;j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
STORE_512(0, 2); STORE_512(1, 2);
STORE_512(0, 3); STORE_512(1, 3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
STORE_512(0, 0); STORE_512(1, 0);
STORE_512(0, 1); STORE_512(1, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x); LOAD_A_512(1, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
STORE_512(0, 0); STORE_512(1, 0);
}
}
for (; i < m16; i += 16) {
for (j = 0; j < n8; j += 8) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
DECLARE_RESULT_512(0, 4);
DECLARE_RESULT_512(0, 5);
DECLARE_RESULT_512(0, 6);
DECLARE_RESULT_512(0, 7);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
BROADCAST_LOAD_B_512(x, 6); BROADCAST_LOAD_B_512(x, 7);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
MATMUL_512(0, 4);
MATMUL_512(0, 5);
MATMUL_512(0, 6);
MATMUL_512(0, 7);
}
STORE_512(0, 0);
STORE_512(0, 1);
STORE_512(0, 2);
STORE_512(0, 3);
STORE_512(0, 4);
STORE_512(0, 5);
STORE_512(0, 6);
STORE_512(0, 7);
}
for (; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
STORE_512(0, 0);
STORE_512(0, 1);
STORE_512(0, 2);
STORE_512(0, 3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
STORE_512(0, 0);
STORE_512(0, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
STORE_512(0, 0);
}
}
int mm = M - i;
if (mm >= 12) {
register __mmask16 mask asm("k1") = (1UL << mm) - 1;
for (j = 0; j < n8; j += 8) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
DECLARE_RESULT_512(0, 4);
DECLARE_RESULT_512(0, 5);
DECLARE_RESULT_512(0, 6);
DECLARE_RESULT_512(0, 7);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
BROADCAST_LOAD_B_512(x, 6); BROADCAST_LOAD_B_512(x, 7);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
MATMUL_512(0, 4);
MATMUL_512(0, 5);
MATMUL_512(0, 6);
MATMUL_512(0, 7);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
MASK_STORE_512(0, 2);
MASK_STORE_512(0, 3);
MASK_STORE_512(0, 4);
MASK_STORE_512(0, 5);
MASK_STORE_512(0, 6);
MASK_STORE_512(0, 7);
}
for (; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
MASK_STORE_512(0, 2);
MASK_STORE_512(0, 3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
MASK_STORE_512(0, 0);
MASK_STORE_512(0, 1);
}
for (; j < N; j++) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
MASK_LOAD_A_512(0, x);
BROADCAST_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
MASK_STORE_512(0, 0);
}
} else if (mm > 0) {
int index_n[16];
for (int ii = 0; ii < 16; ii++) {
index_n[ii] = ii * ldc;
}
__m512i vindex_n = _mm512_loadu_si512(index_n);
for (; i < m4; i += 4) {
for (j = 0; j < n64; j += 64) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
LOAD_B_512(x, 2);
LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0); SCATTER_STORE_512(2, 0); SCATTER_STORE_512(3, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1); SCATTER_STORE_512(2, 1); SCATTER_STORE_512(3, 1);
SCATTER_STORE_512(0, 2); SCATTER_STORE_512(1, 2); SCATTER_STORE_512(2, 2); SCATTER_STORE_512(3, 2);
SCATTER_STORE_512(0, 3); SCATTER_STORE_512(1, 3); SCATTER_STORE_512(2, 3); SCATTER_STORE_512(3, 3);
}
for (; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0); SCATTER_STORE_512(2, 0); SCATTER_STORE_512(3, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1); SCATTER_STORE_512(2, 1); SCATTER_STORE_512(3, 1);
}
__mmask16 mask = 0xffff;
for (; j < N; j += 16) {
int remains = N - j;
if (remains < 16) mask = (1UL << remains) - 1;
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
MASK_SCATTER_STORE_512(0, 0); MASK_SCATTER_STORE_512(1, 0); MASK_SCATTER_STORE_512(2, 0); MASK_SCATTER_STORE_512(3, 0);
}
}
for (; i < m2; i += 2) {
for (j = 0; j < n64; j += 64) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
LOAD_B_512(x, 2);
LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
SCATTER_STORE_512(0, 2); SCATTER_STORE_512(1, 2);
SCATTER_STORE_512(0, 3); SCATTER_STORE_512(1, 3);
}
for (; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
}
__mmask16 mask = 0xffff;
for (; j < N; j += 16) {
int remains = N - j;
if (remains < 16) mask = (1UL << remains) - 1;
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
MASK_SCATTER_STORE_512(0, 0); MASK_SCATTER_STORE_512(1, 0);
}
}
for (; i < M; i += 1) {
for (j = 0; j < n64; j += 64) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
LOAD_B_512(x, 2);
LOAD_B_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
SCATTER_STORE_512(0, 0);
SCATTER_STORE_512(0, 1);
SCATTER_STORE_512(0, 2);
SCATTER_STORE_512(0, 3);
}
for (; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
LOAD_B_512(x, 0);
LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
SCATTER_STORE_512(0, 0);
SCATTER_STORE_512(0, 1);
}
__mmask16 mask = 0xffff;
for (; j < N; j += 16) {
int remains = N - j;
if (remains < 16) mask = (1UL << remains) - 1;
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
MASK_SCATTER_STORE_512(0, 0);
}
}
}
return 0;
}

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/***************************************************************************
Copyright (c) 2021, 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"
int CNAME(int transa, int transb, BLASLONG M, BLASLONG N, BLASLONG K, FLOAT alpha, FLOAT beta)
{
double MNK = (double) M * (double) N * (double) K;
if (MNK > 100.0*100.0*100.0) // disable for big size matrix
return 0;
// tuning for A transpose
if (transa) {
if (transb) {
/* TT kernel perform not good when:
* 1. K is too small.
*/
if (K < 4) return 0;
} else {
/* TN kernel perform not good when:
* 1. C matrix is too big
* 2. K is too small
*/
if (M * N > 1200 || K < 32)
return 0;
}
}
return 1;
}

316
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/***************************************************************************
Copyright (c) 2021, 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 <immintrin.h>
#include "common.h"
#include <stdio.h>
#include <memory.h>
#define DECLARE_RESULT_512(M, N) __m512 result##M##N = _mm512_setzero_ps()
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_ps(Aval##M, Bval##N, result##M##N)
#define LOAD_KA_512(M, N) __m512 Aval##M = _mm512_loadu_ps(&A[(i + M)*lda + k]);
#define LOAD_KB_512(M, N) __m512 Bval##N = _mm512_loadu_ps(&B[(j + N)*ldb + k])
#define MASK_LOAD_KA_512(M, N) __m512 Aval##M = _mm512_maskz_loadu_ps(mask, &A[(i + M)*lda + k])
#define MASK_LOAD_KB_512(M, N) __m512 Bval##N = _mm512_maskz_loadu_ps(mask, &B[(j + N)*ldb + k])
#define REDUCE_4(rr0, rr1, rr2, rr3) \
__m512 r0, r1, r2, r3, t0, t1, t2, t3;\
r0 = _mm512_unpacklo_ps(rr0, rr1); r1 = _mm512_unpackhi_ps(rr0, rr1); \
r2 = _mm512_unpacklo_ps(rr2, rr3); r3 = _mm512_unpackhi_ps(rr2, rr3); \
t0 = _mm512_shuffle_ps(r0, r2, _MM_SHUFFLE(1, 0, 1, 0)); t1 = _mm512_shuffle_ps(r0, r2, _MM_SHUFFLE(3, 2, 3, 2)); \
t2 = _mm512_shuffle_ps(r1, r3, _MM_SHUFFLE(1, 0, 1, 0)); t3 = _mm512_shuffle_ps(r1, r3, _MM_SHUFFLE(3, 2, 3, 2)); \
r0 = _mm512_add_ps(t0, t1); r1 = _mm512_add_ps(t2, t3); t0 = _mm512_add_ps(r0, r1); \
__m128 s0, s1, s2, s3; \
s0 = _mm512_extractf32x4_ps(t0, 0); s1 = _mm512_extractf32x4_ps(t0, 1); s2 = _mm512_extractf32x4_ps(t0, 2); s3 = _mm512_extractf32x4_ps(t0, 3); \
s0 = _mm_maskz_add_ps(mask8, s0, s1); s2 = _mm_maskz_add_ps(mask8, s2, s3); s0 = _mm_maskz_add_ps(mask8, s0, s2); \
s0 = _mm_maskz_mul_ps(mask8, alpha_128, s0);
#define REDUCE_M4(N) REDUCE_4(result0##N, result1##N, result2##N, result3##N)
#define REDUCE_N4(M) REDUCE_4(result##M##0, result##M##1, result##M##2, result##M##3)
#if defined(B0)
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_ps(result##M##N)
#define STORE_M4(N, s0) _mm_mask_storeu_ps(&C[(j + N)*ldc + i], mask8, s0);
#define STORE_N4(M, s0) _mm_i32scatter_ps(&C[j*ldc + i + M], vindex_n, s0, 4);
#else
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_ps(result##M##N) + beta * C[(j+N)*ldc + i + M]
#define STORE_M4(N, s0) \
asm("vfmadd231ps (%1), %2, %0": "+v"(s0):"r"(&C[(j + N)*ldc + i]), "v"(beta_128)); \
_mm_mask_storeu_ps(&C[(j + N)*ldc + i], mask8, s0);
#define STORE_N4(M, s0) \
s0 = _mm_fmadd_ps(_mm_i32gather_ps(&C[j*ldc + i + M], vindex_n, 4), beta_128, s0); \
_mm_i32scatter_ps(&C[j*ldc + i + M], vindex_n, s0, 4);
#endif
#define STORE_REDUCE_M4(N) {\
REDUCE_M4(N) \
STORE_M4(N, s0) \
}
#define STORE_REDUCE_N4(M) {\
REDUCE_N4(M) \
STORE_N4(M, s0) \
}
#if defined(B0)
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
// column major
BLASLONG i, j, k;
BLASLONG m4 = M & ~3;
BLASLONG m2 = M & ~1;
BLASLONG n4 = N & ~3;
BLASLONG n2 = N & ~1;
BLASLONG k16 = K & ~15;
__mmask16 mask;
__mmask8 mask8 = 0xff; // just use to avoid SSE instruction
__m128i vindex_n = _mm_set_epi32(ldc*3, ldc*2, ldc, 0);
__m128 alpha_128 = _mm_broadcast_ss(&alpha);
#if !defined(B0)
__m128 beta_128 = _mm_broadcast_ss(&beta);
#endif
for (i = 0; i < m4; i += 4) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
STORE_REDUCE_M4(0); STORE_REDUCE_M4(1); STORE_REDUCE_M4(2); STORE_REDUCE_M4(3);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
STORE_REDUCE_M4(0); STORE_REDUCE_M4(1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
STORE_REDUCE_M4(0);
}
}
for (; i < m2; i += 2) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
STORE_REDUCE_N4(0); STORE_REDUCE_N4(1);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
STORE_REDUCE(0, 1); STORE_REDUCE(1, 1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x); LOAD_KA_512(1, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
}
}
for (; i < M; i += 1) {
for (j = 0; j < n4; j += 4) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
STORE_REDUCE_N4(0);
}
for (; j < n2; j += 2) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
STORE_REDUCE(0, 0);
STORE_REDUCE(0, 1);
}
for (; j < N; j += 1) {
DECLARE_RESULT_512(0, 0);
for (k = 0; k < k16; k += 16) {
LOAD_KA_512(0, x);
LOAD_KB_512(x, 0);
MATMUL_512(0, 0);
}
int remains = K - k;
if (remains) {
mask = (1UL << remains) - 1;
MASK_LOAD_KA_512(0, x);
MASK_LOAD_KB_512(x, 0);
MATMUL_512(0, 0);
}
STORE_REDUCE(0, 0);
}
}
return 0;
}

414
kernel/x86_64/sgemm_small_kernel_tt_skylakex.c Normal file
View File

@@ -0,0 +1,414 @@
/***************************************************************************
Copyright (c) 2021, 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 <immintrin.h>
#include "common.h"
#include <stdio.h>
#define DECLARE_RESULT_512(M, N) __m512 result##M##N = _mm512_setzero_ps()
#define BROADCAST_LOAD_A_512(M, N) __m512 Aval##M = _mm512_broadcastss_ps(_mm_load_ss(&A[k + lda * (i+M)]))
#define LOAD_B_512(M,N) __m512 Bval##N = _mm512_loadu_ps(&B[ldb * k + j + (N*16)])
#define MASK_LOAD_B_512(M, N) __m512 Bval##N = _mm512_maskz_loadu_ps(mask, &B[ldb * k + j + (N*16)])
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_ps(Aval##M, Bval##N, result##M##N)
#if defined(B0)
#define STORE_8xy(v, N, x, y) _mm256_storeu_ps(&C[(j + N*16 + x + y*8)*ldc + i], v)
#define STORE_4xy(v, N, x, y) _mm_mask_storeu_ps(&C[(j + N*16 + x + y*4)*ldc + i], mask8, v)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
_mm512_i32scatter_ps(&C[(j + N*16)*ldc + i + M], vindex_n, result##M##N, 4);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
_mm512_mask_i32scatter_ps(&C[(j + N*16)*ldc + i + M], mask, vindex_n, result##M##N, 4);
#else
#define STORE_8xy(v, N, x, y) \
asm("vfmadd231ps (%1), %2, %0": "+v"(v): "r"(&C[(j + N*16 + x + y*8)*ldc + i]), "v"(beta_256)); \
_mm256_storeu_ps(&C[(j + N*16 + x + y*8)*ldc + i], v)
#define STORE_4xy(v, N, x, y) \
asm("vfmadd231ps (%1), %2, %0": "+v"(v): "r"(&C[(j + N*16 + x + y*4)*ldc + i]), "v"(beta_128)); \
_mm_mask_storeu_ps(&C[(j + N*16 + x + y*4)*ldc + i], mask8, v)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
__m512 tmp##M##N = _mm512_i32gather_ps(vindex_n, &C[(j + N*16)*ldc + i + M], 4); \
result##M##N = _mm512_fmadd_ps(tmp##M##N, beta_512, result##M##N); \
_mm512_i32scatter_ps(&C[(j + N*16)*ldc + i + M], vindex_n, result##M##N, 4);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
__m512 tmp##M##N = _mm512_mask_i32gather_ps(_mm512_setzero_ps(), mask, vindex_n, &C[(j + N*16)*ldc + i + M], 4); \
result##M##N = _mm512_fmadd_ps(tmp##M##N, beta_512, result##M##N); \
_mm512_mask_i32scatter_ps(&C[(j + N*16)*ldc + i + M], mask, vindex_n, result##M##N, 4);
#endif
#define REORDER_8x16(r0, r1, r2, r3, r4, r5, r6, r7) \
__m512 t0, t1, t2, t3, t4, t5, t6, t7, v; \
t0 = _mm512_unpacklo_ps(r0, r1); \
t1 = _mm512_unpackhi_ps(r0, r1); \
t2 = _mm512_unpacklo_ps(r2, r3); \
t3 = _mm512_unpackhi_ps(r2, r3); \
t4 = _mm512_unpacklo_ps(r4, r5); \
t5 = _mm512_unpackhi_ps(r4, r5); \
t6 = _mm512_unpacklo_ps(r6, r7); \
t7 = _mm512_unpackhi_ps(r6, r7); \
v = _mm512_shuffle_ps(t0, t2, 0x4E); \
r0 = _mm512_mask_blend_ps(kc, t0, v); \
r1 = _mm512_mask_blend_ps(k3, t2, v); \
v = _mm512_shuffle_ps(t1, t3, 0x4E); \
r2 = _mm512_mask_blend_ps(kc, t1, v); \
r3 = _mm512_mask_blend_ps(k3, t3, v); \
v = _mm512_shuffle_ps(t4, t6, 0x4E); \
r4 = _mm512_mask_blend_ps(kc, t4, v); \
r5 = _mm512_mask_blend_ps(k3, t6, v); \
v = _mm512_shuffle_ps(t5, t7, 0x4E); \
r6 = _mm512_mask_blend_ps(kc, t5, v); \
r7 = _mm512_mask_blend_ps(k3, t7, v); \
t0 = _mm512_permutex2var_ps(r0, idx_lo, r4); \
t1 = _mm512_permutex2var_ps(r1, idx_lo, r5); \
t2 = _mm512_permutex2var_ps(r2, idx_lo, r6); \
t3 = _mm512_permutex2var_ps(r3, idx_lo, r7); \
t4 = _mm512_permutex2var_ps(r0, idx_hi, r4); \
t5 = _mm512_permutex2var_ps(r1, idx_hi, r5); \
t6 = _mm512_permutex2var_ps(r2, idx_hi, r6); \
t7 = _mm512_permutex2var_ps(r3, idx_hi, r7); \
t0 = _mm512_mul_ps(t0, alpha_512); \
t1 = _mm512_mul_ps(t1, alpha_512); \
t2 = _mm512_mul_ps(t2, alpha_512); \
t3 = _mm512_mul_ps(t3, alpha_512); \
t4 = _mm512_mul_ps(t4, alpha_512); \
t5 = _mm512_mul_ps(t5, alpha_512); \
t6 = _mm512_mul_ps(t6, alpha_512); \
t7 = _mm512_mul_ps(t7, alpha_512);
#define SAVE_8(N, x, y) {\
__m256 v8 = _mm512_extractf32x8_ps(t##x, y); \
STORE_8xy(v8, N, x, y); \
}
#define REORDER_STORE_8x16(N) {\
REORDER_8x16(result0##N, result1##N, result2##N, result3##N, result4##N, result5##N, result6##N, result7##N); \
SAVE_8(N, 0, 0); SAVE_8(N, 1, 0); SAVE_8(N, 2, 0); SAVE_8(N, 3, 0); SAVE_8(N, 4, 0); SAVE_8(N, 5, 0); SAVE_8(N, 6, 0); SAVE_8(N, 7, 0); \
SAVE_8(N, 0, 1); SAVE_8(N, 1, 1); SAVE_8(N, 2, 1); SAVE_8(N, 3, 1); SAVE_8(N, 4, 1); SAVE_8(N, 5, 1); SAVE_8(N, 6, 1); SAVE_8(N, 7, 1); \
}
#define MASK_SAVE_8() \
switch (nn) { \
case 16: SAVE_8(0, 7, 1); \
case 15: SAVE_8(0, 6, 1); \
case 14: SAVE_8(0, 5, 1); \
case 13: SAVE_8(0, 4, 1); \
case 12: SAVE_8(0, 3, 1); \
case 11: SAVE_8(0, 2, 1); \
case 10: SAVE_8(0, 1, 1); \
case 9: SAVE_8(0, 0, 1); \
case 8: SAVE_8(0, 7, 0); \
case 7: SAVE_8(0, 6, 0); \
case 6: SAVE_8(0, 5, 0); \
case 5: SAVE_8(0, 4, 0); \
case 4: SAVE_8(0, 3, 0); \
case 3: SAVE_8(0, 2, 0); \
case 2: SAVE_8(0, 1, 0); \
case 1: SAVE_8(0, 0, 0); \
}
#define MASK_REORDER_STORE_8x16(N) {\
REORDER_8x16(result0##N, result1##N, result2##N, result3##N, result4##N, result5##N, result6##N, result7##N); \
MASK_SAVE_8(); \
}
#define REORDER_4x16(r0, r1, r2, r3) \
__m512 t0, t1, t2, t3, v; \
t0 = _mm512_unpacklo_ps(r0, r1); \
t1 = _mm512_unpackhi_ps(r0, r1); \
t2 = _mm512_unpacklo_ps(r2, r3); \
t3 = _mm512_unpackhi_ps(r2, r3); \
v = _mm512_shuffle_ps(t0, t2, 0x4E); \
r0 = _mm512_mask_blend_ps(kc, t0, v); \
r1 = _mm512_mask_blend_ps(k3, t2, v); \
v = _mm512_shuffle_ps(t1, t3, 0x4E); \
r2 = _mm512_mask_blend_ps(kc, t1, v); \
r3 = _mm512_mask_blend_ps(k3, t3, v); \
t0 = _mm512_mul_ps(r0, alpha_512); \
t1 = _mm512_mul_ps(r1, alpha_512); \
t2 = _mm512_mul_ps(r2, alpha_512); \
t3 = _mm512_mul_ps(r3, alpha_512);
#define SAVE_4(N, x, y) {\
__m128 v4 = _mm512_extractf32x4_ps(t##x, y); \
STORE_4xy(v4, N, x, y); \
}
#define REORDER_STORE_4x16(N) {\
REORDER_4x16(result0##N, result1##N, result2##N, result3##N); \
SAVE_4(N, 0, 0); SAVE_4(N, 1, 0); SAVE_4(N, 2, 0); SAVE_4(N, 3, 0); \
SAVE_4(N, 0, 1); SAVE_4(N, 1, 1); SAVE_4(N, 2, 1); SAVE_4(N, 3, 1); \
SAVE_4(N, 0, 2); SAVE_4(N, 1, 2); SAVE_4(N, 2, 2); SAVE_4(N, 3, 2); \
SAVE_4(N, 0, 3); SAVE_4(N, 1, 3); SAVE_4(N, 2, 3); SAVE_4(N, 3, 3); \
}
#define MASK_SAVE_4() \
switch (nn) { \
case 16: SAVE_4(0, 3, 3); \
case 15: SAVE_4(0, 2, 3); \
case 14: SAVE_4(0, 1, 3); \
case 13: SAVE_4(0, 0, 3); \
case 12: SAVE_4(0, 3, 2); \
case 11: SAVE_4(0, 2, 2); \
case 10: SAVE_4(0, 1, 2); \
case 9: SAVE_4(0, 0, 2); \
case 8: SAVE_4(0, 3, 1); \
case 7: SAVE_4(0, 2, 1); \
case 6: SAVE_4(0, 1, 1); \
case 5: SAVE_4(0, 0, 1); \
case 4: SAVE_4(0, 3, 0); \
case 3: SAVE_4(0, 2, 0); \
case 2: SAVE_4(0, 1, 0); \
case 1: SAVE_4(0, 0, 0); \
}
#define MASK_REORDER_STORE_4x16(N) {\
REORDER_4x16(result0##N, result1##N, result2##N, result3##N); \
MASK_SAVE_4(); \
}
#if defined(B0)
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
// column major
BLASLONG i, j, k;
BLASLONG m8 = M & ~7;
BLASLONG m4 = M & ~3;
BLASLONG m2 = M & ~1;
BLASLONG n64 = N & ~63;
BLASLONG n32 = N & ~31;
__m512 alpha_512 = _mm512_broadcastss_ps(_mm_load_ss(&alpha));
#if !defined(B0)
__m256 beta_256 = _mm256_broadcastss_ps(_mm_load_ss(&beta));
__m128 beta_128 = _mm_broadcastss_ps(_mm_load_ss(&beta));
#endif
int permute_table[] = {
0x0, 0x1, 0x2, 0x3, 0x10, 0x11, 0x12, 0x13, 0x8, 0x9, 0xa, 0xb, 0x18, 0x19, 0x1a, 0x1b,
0x4, 0x5, 0x6, 0x7, 0x14, 0x15, 0x16, 0x17, 0xc, 0xd, 0xe, 0xf, 0x1c, 0x1d, 0x1e, 0x1f,
};
__m512i idx_lo = _mm512_loadu_si512(permute_table);
__m512i idx_hi = _mm512_loadu_si512(permute_table + 16);
__mmask16 kc = 0xcccc;
__mmask16 k3 = 0x3333;
__mmask8 mask8 = 0xff; // force use AVX128 instead of SSE
for (i = 0; i < m8; i += 8) {
for (j = 0; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(4, 0); DECLARE_RESULT_512(5, 0); DECLARE_RESULT_512(6, 0); DECLARE_RESULT_512(7, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(4, 1); DECLARE_RESULT_512(5, 1); DECLARE_RESULT_512(6, 1); DECLARE_RESULT_512(7, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
BROADCAST_LOAD_A_512(4, x); BROADCAST_LOAD_A_512(5, x); BROADCAST_LOAD_A_512(6, x); BROADCAST_LOAD_A_512(7, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(4, 0); MATMUL_512(5, 0); MATMUL_512(6, 0); MATMUL_512(7, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(4, 1); MATMUL_512(5, 1); MATMUL_512(6, 1); MATMUL_512(7, 1);
}
REORDER_STORE_8x16(0);
REORDER_STORE_8x16(1);
}
__mmask16 mask = 0xffff;
int nn = 16;
for (; j < N; j += 16) {
if (N - j < 16) {
nn = N - j;
mask = (1UL << nn) - 1;
}
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(4, 0); DECLARE_RESULT_512(5, 0); DECLARE_RESULT_512(6, 0); DECLARE_RESULT_512(7, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
BROADCAST_LOAD_A_512(4, x); BROADCAST_LOAD_A_512(5, x); BROADCAST_LOAD_A_512(6, x); BROADCAST_LOAD_A_512(7, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(4, 0); MATMUL_512(5, 0); MATMUL_512(6, 0); MATMUL_512(7, 0);
}
MASK_REORDER_STORE_8x16(0);
}
}
for (; i < m4; i += 4) {
for (j = 0; j < n64; j += 64) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1); LOAD_B_512(x, 2); LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
}
REORDER_STORE_4x16(0);
REORDER_STORE_4x16(1);
REORDER_STORE_4x16(2);
REORDER_STORE_4x16(3);
}
for (; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
}
REORDER_STORE_4x16(0);
REORDER_STORE_4x16(1);
}
__mmask16 mask = 0xffff;
int nn = 16;
for (; j < N; j += 16) {
if (N - j < 16) {
nn = N - j;
mask = (1UL << nn) - 1;
}
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
}
MASK_REORDER_STORE_4x16(0);
}
}
if (i < M) {
int index_n[16];
for (int ii = 0; ii < 16; ii++) {
index_n[ii] = ii * ldc;
}
__m512i vindex_n = _mm512_loadu_si512(index_n);
#if !defined(B0)
__m512 beta_512 = _mm512_broadcastss_ps(_mm_load_ss(&beta));
#endif
for (; i < m2; i += 2) {
for (j = 0; j < n64; j += 64) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1); LOAD_B_512(x, 2); LOAD_B_512(x, 3);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
MATMUL_512(0, 2); MATMUL_512(1, 2);
MATMUL_512(0, 3); MATMUL_512(1, 3);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
SCATTER_STORE_512(0, 2); SCATTER_STORE_512(1, 2);
SCATTER_STORE_512(0, 3); SCATTER_STORE_512(1, 3);
}
for (; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1);
MATMUL_512(0, 0); MATMUL_512(1, 0);
MATMUL_512(0, 1); MATMUL_512(1, 1);
}
SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
}
__mmask16 mask = 0xffff;
int nn = 16;
for (; j < N; j += 16) {
if (N - j < 16) {
nn = N - j;
mask = (1UL << nn) - 1;
}
DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0); MATMUL_512(1, 0);
}
MASK_SCATTER_STORE_512(0, 0); MASK_SCATTER_STORE_512(1, 0);
}
}
for (; i < M; i += 1) {
for (j = 0; j < n64; j += 64) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
DECLARE_RESULT_512(0, 2);
DECLARE_RESULT_512(0, 3);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1); LOAD_B_512(x, 2); LOAD_B_512(x, 3);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
MATMUL_512(0, 2);
MATMUL_512(0, 3);
}
SCATTER_STORE_512(0, 0);
SCATTER_STORE_512(0, 1);
SCATTER_STORE_512(0, 2);
SCATTER_STORE_512(0, 3);
}
for (; j < n32; j += 32) {
DECLARE_RESULT_512(0, 0);
DECLARE_RESULT_512(0, 1);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
LOAD_B_512(x, 0); LOAD_B_512(x, 1);
MATMUL_512(0, 0);
MATMUL_512(0, 1);
}
SCATTER_STORE_512(0, 0);
SCATTER_STORE_512(0, 1);
}
__mmask16 mask = 0xffff;
int nn = 16;
for (; j < N; j += 16) {
if (N - j < 16) {
nn = N - j;
mask = (1UL << nn) - 1;
}
DECLARE_RESULT_512(0, 0);
for (k = 0; k < K; k++) {
BROADCAST_LOAD_A_512(0, x);
MASK_LOAD_B_512(x, 0);
MATMUL_512(0, 0);
}
MASK_SCATTER_STORE_512(0, 0);
}
}
}
return 0;
}