OpenBLAS/kernel/x86_64/dgemm_kernel_4x8_skylakex_2.c

671 lines
26 KiB
C

#include "common.h"
#include <stdint.h>
#include <immintrin.h>
//register usage: zmm3 for alpha, zmm0-zmm2 and zmm4-zmm7 for temporary use, zmm8-zmm31 for accumulators.
/* row-major c_block */
#define INNER_KERNEL_k1m1n8 \
"prefetcht0 384(%1);"\
"vmovupd (%1),%%zmm5; addq $64,%1;"\
"vbroadcastsd (%0),%%zmm4;vfmadd231pd %%zmm5,%%zmm4,%%zmm8;"
#define INNER_KERNEL_k1m2n8 \
INNER_KERNEL_k1m1n8\
"vbroadcastsd 8(%0),%%zmm4;vfmadd231pd %%zmm5,%%zmm4,%%zmm9;"
#define INNER_KERNEL_k1m1n16 \
"prefetcht0 128(%1); prefetcht0 128(%1,%%r12,2);"\
"vmovupd (%1),%%zmm5; vmovupd (%1,%%r12,2),%%zmm6; addq $64,%1;"\
"vbroadcastsd (%0),%%zmm4;vfmadd231pd %%zmm5,%%zmm4,%%zmm8; vfmadd231pd %%zmm6,%%zmm4,%%zmm9;"
#define INNER_KERNEL_k1m2n16 \
INNER_KERNEL_k1m1n16\
"vbroadcastsd 8(%0),%%zmm4;vfmadd231pd %%zmm5,%%zmm4,%%zmm10;vfmadd231pd %%zmm6,%%zmm4,%%zmm11;"
#define INNER_KERNEL_k1m1n24 \
"prefetcht0 128(%1); prefetcht0 128(%1,%%r12,2); prefetcht0 128(%1,%%r12,4);"\
"vmovupd (%1),%%zmm5; vmovupd (%1,%%r12,2),%%zmm6; vmovupd (%1,%%r12,4),%%zmm7; addq $64,%1;"\
"vbroadcastsd (%0),%%zmm4;vfmadd231pd %%zmm5,%%zmm4,%%zmm8; vfmadd231pd %%zmm6,%%zmm4,%%zmm9; vfmadd231pd %%zmm7,%%zmm4,%%zmm10;"
#define INNER_KERNEL_k1m2n24 \
INNER_KERNEL_k1m1n24\
"vbroadcastsd 8(%0),%%zmm4;vfmadd231pd %%zmm5,%%zmm4,%%zmm11;vfmadd231pd %%zmm6,%%zmm4,%%zmm12;vfmadd231pd %%zmm7,%%zmm4,%%zmm13;"
/* row-major z-partition c_block */
#define INNER_KERNEL_k1m4n8 \
"vbroadcastf32x4 (%0),%%zmm4; vbroadcastf32x4 16(%0),%%zmm5; addq $32,%0;"\
"vmovddup (%1),%%zmm6; vfmadd231pd %%zmm4,%%zmm6,%%zmm8; vfmadd231pd %%zmm5,%%zmm6,%%zmm10;"\
"vmovddup 8(%1),%%zmm7; vfmadd231pd %%zmm4,%%zmm7,%%zmm9; vfmadd231pd %%zmm5,%%zmm7,%%zmm11;"
#define INNER_KERNEL_k1m4n16 \
INNER_KERNEL_k1m4n8\
"vmovddup (%1,%%r12,2),%%zmm6; vfmadd231pd %%zmm4,%%zmm6,%%zmm12; vfmadd231pd %%zmm5,%%zmm6,%%zmm14;"\
"vmovddup 8(%1,%%r12,2),%%zmm7; vfmadd231pd %%zmm4,%%zmm7,%%zmm13; vfmadd231pd %%zmm5,%%zmm7,%%zmm15;"
#define INNER_KERNEL_k1m4n24 \
INNER_KERNEL_k1m4n16\
"vmovddup (%1,%%r12,4),%%zmm6; vfmadd231pd %%zmm4,%%zmm6,%%zmm16; vfmadd231pd %%zmm5,%%zmm6,%%zmm18;"\
"vmovddup 8(%1,%%r12,4),%%zmm7; vfmadd231pd %%zmm4,%%zmm7,%%zmm17; vfmadd231pd %%zmm5,%%zmm7,%%zmm19;"
#define INNER_KERNEL_k1m8n8 \
"vbroadcastf32x4 (%0),%%zmm4; vbroadcastf32x4 16(%0),%%zmm5;"\
"vbroadcastf32x4 (%0,%%r12,1),%%zmm6; vbroadcastf32x4 16(%0,%%r12,1),%%zmm7; addq $32,%0;"\
"prefetcht0 128(%1);"\
"vmovddup (%1),%%zmm2; vfmadd231pd %%zmm4,%%zmm2,%%zmm8; vfmadd231pd %%zmm5,%%zmm2,%%zmm10;"\
"vfmadd231pd %%zmm6,%%zmm2,%%zmm12; vfmadd231pd %%zmm7,%%zmm2,%%zmm14;"\
"vmovddup 8(%1),%%zmm1; vfmadd231pd %%zmm4,%%zmm1,%%zmm9; vfmadd231pd %%zmm5,%%zmm1,%%zmm11;"\
"vfmadd231pd %%zmm6,%%zmm1,%%zmm13; vfmadd231pd %%zmm7,%%zmm1,%%zmm15;"
#define INNER_KERNEL_k1m8n16 \
INNER_KERNEL_k1m8n8\
"prefetcht0 128(%1,%%r12,2);"\
"vmovddup (%1,%%r12,2),%%zmm2; vfmadd231pd %%zmm4,%%zmm2,%%zmm16; vfmadd231pd %%zmm5,%%zmm2,%%zmm18;"\
"vfmadd231pd %%zmm6,%%zmm2,%%zmm20; vfmadd231pd %%zmm7,%%zmm2,%%zmm22;"\
"vmovddup 8(%1,%%r12,2),%%zmm1; vfmadd231pd %%zmm4,%%zmm1,%%zmm17; vfmadd231pd %%zmm5,%%zmm1,%%zmm19;"\
"vfmadd231pd %%zmm6,%%zmm1,%%zmm21; vfmadd231pd %%zmm7,%%zmm1,%%zmm23;"
#define INNER_KERNEL_k1m8n24 \
INNER_KERNEL_k1m8n16\
"prefetcht0 128(%1,%%r12,4);"\
"vmovddup (%1,%%r12,4),%%zmm2; vfmadd231pd %%zmm4,%%zmm2,%%zmm24; vfmadd231pd %%zmm5,%%zmm2,%%zmm26;"\
"vfmadd231pd %%zmm6,%%zmm2,%%zmm28; vfmadd231pd %%zmm7,%%zmm2,%%zmm30;"\
"vmovddup 8(%1,%%r12,4),%%zmm1; vfmadd231pd %%zmm4,%%zmm1,%%zmm25; vfmadd231pd %%zmm5,%%zmm1,%%zmm27;"\
"vfmadd231pd %%zmm6,%%zmm1,%%zmm29; vfmadd231pd %%zmm7,%%zmm1,%%zmm31;"
/* micro kernels */
#define INNER_KERNELm1(nn) \
"cmpq $1,%2;jb "#nn"3f;"\
#nn"4:\n\t"\
INNER_KERNEL_k1m1n##nn "addq $8,%0;"\
"decq %2;cmpq $1,%2;jnb "#nn"4b;"\
#nn"3:\n\t"
#define INNER_KERNELm2(nn) \
"cmpq $1,%2;jb "#nn"0f;"\
#nn"1:\n\t"\
INNER_KERNEL_k1m2n##nn "addq $16,%0;"\
"decq %2;cmpq $1,%2;jnb "#nn"1b;"\
#nn"0:\n\t"
#define INNER_KERNELm4(nn) \
"cmpq $1,%2;jb "#nn"00f;"\
#nn"01:\n\t"\
INNER_KERNEL_k1m4n##nn "addq $64,%1;"\
"decq %2;cmpq $1,%2;jnb "#nn"01b;"\
#nn"00:\n\t"
/* %10 for prefetch of C elements before storage; %4 = ldc(in bytes),%11 for prefetch of next B block */
#define INNER_KERNELm8(nn) \
"movq %3,%10;cmpq $18,%2;jb "#nn"001f;"\
#nn"008:\n\t"\
INNER_KERNEL_k1m8n##nn "addq $64,%1;"\
INNER_KERNEL_k1m8n##nn "addq $64,%1;"\
INNER_KERNEL_k1m8n##nn "addq $64,%1;"\
"prefetcht1 (%10); prefetcht1 63(%10); addq %4,%10;"\
INNER_KERNEL_k1m8n##nn "addq $64,%1;"\
INNER_KERNEL_k1m8n##nn "addq $64,%1;"\
INNER_KERNEL_k1m8n##nn "addq $64,%1;"\
"prefetcht1 (%11); addq $32,%11;"\
"subq $6,%2;cmpq $18,%2;jnb "#nn"008b;"\
"movq %3,%10;"\
#nn"001:\n\t"\
"cmpq $1,%2;jb "#nn"000f;"\
"prefetcht0 (%10); prefetcht0 63(%10); prefetcht0 (%10,%4,1); prefetcht0 63(%10,%4,1); leaq (%10,%4,2),%10;"\
INNER_KERNEL_k1m8n##nn "addq $64,%1;"\
"decq %2;jmp "#nn"001b;"\
""#nn"000:\n\t"
#define INNER_INIT_m1n8 \
"vpxorq %%zmm8, %%zmm8, %%zmm8;"
#define INNER_INIT_m2n8 \
"vpxorq %%zmm8, %%zmm8, %%zmm8; vpxorq %%zmm9, %%zmm9, %%zmm9;"
#define INNER_INIT_m4n8 \
"vpxorq %%zmm8, %%zmm8, %%zmm8; vpxorq %%zmm9, %%zmm9, %%zmm9; vpxorq %%zmm10,%%zmm10,%%zmm10;vpxorq %%zmm11,%%zmm11,%%zmm11;"
#define INNER_INIT_m8n8 \
INNER_INIT_m4n8\
"vpxorq %%zmm12,%%zmm12,%%zmm12;vpxorq %%zmm13,%%zmm13,%%zmm13;vpxorq %%zmm14,%%zmm14,%%zmm14;vpxorq %%zmm15,%%zmm15,%%zmm15;"
#define INNER_INIT_m1n16 INNER_INIT_m2n8
#define INNER_INIT_m2n16 INNER_INIT_m4n8
#define INNER_INIT_m4n16 INNER_INIT_m8n8
#define INNER_INIT_m8n16 \
INNER_INIT_m8n8\
"vpxorq %%zmm16,%%zmm16,%%zmm16;vpxorq %%zmm17,%%zmm17,%%zmm17;vpxorq %%zmm18,%%zmm18,%%zmm18;vpxorq %%zmm19,%%zmm19,%%zmm19;"\
"vpxorq %%zmm20,%%zmm20,%%zmm20;vpxorq %%zmm21,%%zmm21,%%zmm21;vpxorq %%zmm22,%%zmm22,%%zmm22;vpxorq %%zmm23,%%zmm23,%%zmm23;"
#define INNER_INIT_m1n24 \
"vpxorq %%zmm8, %%zmm8, %%zmm8; vpxorq %%zmm9, %%zmm9, %%zmm9; vpxorq %%zmm10,%%zmm10,%%zmm10;"
#define INNER_INIT_m2n24 \
INNER_INIT_m1n24\
"vpxorq %%zmm11,%%zmm11,%%zmm11; vpxorq %%zmm12,%%zmm12,%%zmm12; vpxorq %%zmm13,%%zmm13,%%zmm13;"
#define INNER_INIT_m4n24 \
INNER_INIT_m4n16\
"vpxorq %%zmm16,%%zmm16,%%zmm16;vpxorq %%zmm17,%%zmm17,%%zmm17;vpxorq %%zmm18,%%zmm18,%%zmm18;vpxorq %%zmm19,%%zmm19,%%zmm19;"
#define INNER_INIT_m8n24 \
INNER_INIT_m8n16\
"vpxorq %%zmm24,%%zmm24,%%zmm24;vpxorq %%zmm25,%%zmm25,%%zmm25;vpxorq %%zmm26,%%zmm26,%%zmm26;vpxorq %%zmm27,%%zmm27,%%zmm27;"\
"vpxorq %%zmm28,%%zmm28,%%zmm28;vpxorq %%zmm29,%%zmm29,%%zmm29;vpxorq %%zmm30,%%zmm30,%%zmm30;vpxorq %%zmm31,%%zmm31,%%zmm31;"
#define INNER_SETINDEX \
"vpinsrq $0,%4,%%xmm4,%%xmm4; vbroadcastsd %%xmm4,%%zmm4;"\
"kxnorw %%k1,%%k1,%%k1; kshiftlw $1,%%k1,%%k1; vpxorq %%zmm6,%%zmm6,%%zmm6; vmovapd %%zmm4,%%zmm6%{%%k1%};"\
"kshiftlw $1,%%k1,%%k1; vpaddq %%zmm4,%%zmm6,%%zmm6%{%%k1%};"\
"kshiftlw $1,%%k1,%%k1; vpaddq %%zmm4,%%zmm6,%%zmm6%{%%k1%};"\
"kshiftlw $1,%%k1,%%k1; vpaddq %%zmm4,%%zmm6,%%zmm6%{%%k1%};"\
"kshiftlw $1,%%k1,%%k1; vpaddq %%zmm4,%%zmm6,%%zmm6%{%%k1%};"\
"kshiftlw $1,%%k1,%%k1; vpaddq %%zmm4,%%zmm6,%%zmm6%{%%k1%};"\
"kshiftlw $1,%%k1,%%k1; vpaddq %%zmm4,%%zmm6,%%zmm6%{%%k1%};"
#define INNER_STORE_m1n8(c1,disp) \
"kxnorw %%k1,%%k1,%%k1;"\
"vgatherqpd "#disp"(%10,%%zmm6,1), %%zmm7 %{%%k1%};"\
"vfmadd132pd %%zmm3,%%zmm7,"#c1";"\
"kxnorw %%k1,%%k1,%%k1;"\
"vscatterqpd "#c1", "#disp"(%10,%%zmm6,1) %{%%k1%};"
#define INNER_SAVE_m1n8 \
"movq %3,%10;"\
INNER_SETINDEX\
INNER_STORE_m1n8(%%zmm8,0)
#define INNER_SAVE_m1n16 \
INNER_SAVE_m1n8\
"leaq (%10,%4,8),%10;"\
INNER_STORE_m1n8(%%zmm9,0)
#define INNER_SAVE_m1n24 \
INNER_SAVE_m1n16\
"leaq (%10,%4,8),%10;"\
INNER_STORE_m1n8(%%zmm10,0)
#define INNER_SAVE_m2n8 \
"movq %3,%10;"\
INNER_SETINDEX\
INNER_STORE_m1n8(%%zmm8,0)\
INNER_STORE_m1n8(%%zmm9,8)
#define INNER_SAVE_m2n16 \
"movq %3,%10;"\
INNER_SETINDEX\
INNER_STORE_m1n8(%%zmm8,0)\
INNER_STORE_m1n8(%%zmm10,8)\
"leaq (%10,%4,8),%10;"\
INNER_STORE_m1n8(%%zmm9,0)\
INNER_STORE_m1n8(%%zmm11,8)
#define INNER_SAVE_m2n24 \
"movq %3,%10;"\
INNER_SETINDEX\
INNER_STORE_m1n8(%%zmm8,0)\
INNER_STORE_m1n8(%%zmm11,8)\
"leaq (%10,%4,8),%10;"\
INNER_STORE_m1n8(%%zmm9,0)\
INNER_STORE_m1n8(%%zmm12,8)\
"leaq (%10,%4,8),%10;"\
INNER_STORE_m1n8(%%zmm10,0)\
INNER_STORE_m1n8(%%zmm13,8)
#define INNER_TRANS_4x8(c1,c2,c3,c4) \
"vblendmpd "#c3","#c1",%%zmm4%{%6%}; vblendmpd "#c4","#c2",%%zmm6%{%6%};"\
"vshuff64x2 $177,%%zmm4,%%zmm4,%%zmm4; vshuff64x2 $177,%%zmm6,%%zmm6,%%zmm6;"\
"vblendmpd "#c1",%%zmm4,"#c1"%{%6%}; vblendmpd "#c2",%%zmm6,"#c2"%{%6%};"\
"vblendmpd %%zmm4,"#c3","#c3"%{%6%}; vblendmpd %%zmm6,"#c4","#c4"%{%6%};"\
#define INNER_TRANS_f128_4x4(c1,c2,c3,c4) \
"vshuff64x2 $68,"#c3","#c1",%%zmm4; vshuff64x2 $17,"#c4","#c2",%%zmm5;"\
"vshuff64x2 $238,"#c3","#c1",%%zmm6; vshuff64x2 $187,"#c4","#c2",%%zmm7;"\
"vblendmpd %%zmm5,%%zmm4,"#c2"%{%6%}; vshuff64x2 $177,"#c2","#c2","#c2"; vblendmpd %%zmm4,%%zmm5,"#c1"%{%6%};"\
"vblendmpd %%zmm7,%%zmm6,"#c4"%{%6%}; vshuff64x2 $177,"#c4","#c4","#c4"; vblendmpd %%zmm6,%%zmm7,"#c3"%{%6%};"
#define INNER_TRANS_8x8(c1,c2,c3,c4,c5,c6,c7,c8) \
INNER_TRANS_f128_4x4(c1,c3,c5,c7) INNER_TRANS_f128_4x4(c2,c4,c6,c8)
//%7 for k01(input) only when m=4
#define INNER_STORE_4x8(c1,c2,c3,c4) \
"vmovupd (%10),%%zmm4%{%5%};vmovupd -32(%10,%4,4),%%zmm4%{%7%};vfmadd132pd %%zmm3,%%zmm4,"#c1";"\
"vmovupd "#c1",(%10)%{%5%}; vmovupd "#c1",-32(%10,%4,4)%{%7%}; leaq (%10,%4,1),%10;"\
"vmovupd (%10),%%zmm5%{%5%};vmovupd -32(%10,%4,4),%%zmm5%{%7%};vfmadd132pd %%zmm3,%%zmm5,"#c2";"\
"vmovupd "#c2",(%10)%{%5%}; vmovupd "#c2",-32(%10,%4,4)%{%7%}; leaq (%10,%4,1),%10;"\
"vmovupd (%10),%%zmm6%{%5%};vmovupd -32(%10,%4,4),%%zmm6%{%7%};vfmadd132pd %%zmm3,%%zmm6,"#c3";"\
"vmovupd "#c3",(%10)%{%5%}; vmovupd "#c3",-32(%10,%4,4)%{%7%}; leaq (%10,%4,1),%10;"\
"vmovupd (%10),%%zmm7%{%5%};vmovupd -32(%10,%4,4),%%zmm7%{%7%};vfmadd132pd %%zmm3,%%zmm7,"#c4";"\
"vmovupd "#c4",(%10)%{%5%}; vmovupd "#c4",-32(%10,%4,4)%{%7%}; leaq (%10,%4,1),%10;"\
"leaq (%10,%4,4),%10;"
#define INNER_STORE_8x8(c1,c2,c3,c4,c5,c6,c7,c8) \
"vfmadd213pd (%10),%%zmm3,"#c1"; vmovupd "#c1",(%10); vfmadd213pd (%10,%4,1),%%zmm3,"#c2"; vmovupd "#c2",(%10,%4,1); leaq (%10,%4,2),%10;"\
"vfmadd213pd (%10),%%zmm3,"#c3"; vmovupd "#c3",(%10); vfmadd213pd (%10,%4,1),%%zmm3,"#c4"; vmovupd "#c4",(%10,%4,1); leaq (%10,%4,2),%10;"\
"vfmadd213pd (%10),%%zmm3,"#c5"; vmovupd "#c5",(%10); vfmadd213pd (%10,%4,1),%%zmm3,"#c6"; vmovupd "#c6",(%10,%4,1); leaq (%10,%4,2),%10;"\
"vfmadd213pd (%10),%%zmm3,"#c7"; vmovupd "#c7",(%10); vfmadd213pd (%10,%4,1),%%zmm3,"#c8"; vmovupd "#c8",(%10,%4,1); leaq (%10,%4,2),%10;"
#define INNER_SAVE_m4n8 \
"movq %3,%10;"\
INNER_TRANS_4x8(%%zmm8,%%zmm9,%%zmm10,%%zmm11)\
INNER_STORE_4x8(%%zmm8,%%zmm9,%%zmm10,%%zmm11)
#define INNER_SAVE_m4n16 \
INNER_SAVE_m4n8\
INNER_TRANS_4x8(%%zmm12,%%zmm13,%%zmm14,%%zmm15)\
INNER_STORE_4x8(%%zmm12,%%zmm13,%%zmm14,%%zmm15)
#define INNER_SAVE_m4n24 \
INNER_SAVE_m4n16\
INNER_TRANS_4x8(%%zmm16,%%zmm17,%%zmm18,%%zmm19)\
INNER_STORE_4x8(%%zmm16,%%zmm17,%%zmm18,%%zmm19)
#define INNER_SAVE_m8n8 \
"movq %3,%10;"\
INNER_TRANS_8x8(%%zmm8,%%zmm9,%%zmm10,%%zmm11,%%zmm12,%%zmm13,%%zmm14,%%zmm15)\
INNER_STORE_8x8(%%zmm8,%%zmm9,%%zmm10,%%zmm11,%%zmm12,%%zmm13,%%zmm14,%%zmm15)
#define INNER_SAVE_m8n16 \
INNER_SAVE_m8n8\
INNER_TRANS_8x8(%%zmm16,%%zmm17,%%zmm18,%%zmm19,%%zmm20,%%zmm21,%%zmm22,%%zmm23)\
INNER_STORE_8x8(%%zmm16,%%zmm17,%%zmm18,%%zmm19,%%zmm20,%%zmm21,%%zmm22,%%zmm23)
#define INNER_SAVE_m8n24 \
INNER_SAVE_m8n16\
INNER_TRANS_8x8(%%zmm24,%%zmm25,%%zmm26,%%zmm27,%%zmm28,%%zmm29,%%zmm30,%%zmm31)\
INNER_STORE_8x8(%%zmm24,%%zmm25,%%zmm26,%%zmm27,%%zmm28,%%zmm29,%%zmm30,%%zmm31)
#define COMPUTE_n8 {\
b_pref = packed_b_pointer + 8 * K;\
__asm__ __volatile__(\
"vbroadcastsd (%9),%%zmm3;"\
"movq %8,%%r14;movq %2,%%r13;movq %2,%%r12;shlq $5,%%r12;"\
"cmpq $8,%8; jb 42222f;"\
"42221:\n\t"\
INNER_INIT_m8n8\
INNER_KERNELm8(8)\
INNER_SAVE_m8n8\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1; addq %%r12,%0;"\
"addq $64,%3;"\
"subq $8,%8; cmpq $8,%8; jnb 42221b;"\
"42222:\n\t"\
"cmpq $4,%8; jb 42223f;"\
INNER_INIT_m4n8\
INNER_KERNELm4(8)\
INNER_SAVE_m4n8\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1;"\
"addq $32,%3;"\
"subq $4,%8;"\
"42223:\n\t"\
"cmpq $2,%8; jb 42224f;"\
INNER_INIT_m2n8\
INNER_KERNELm2(8)\
INNER_SAVE_m2n8\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1;"\
"addq $16,%3;"\
"subq $2,%8;"\
"42224:\n\t"\
"cmpq $1,%8; jb 42225f;"\
INNER_INIT_m1n8\
INNER_KERNELm1(8)\
INNER_SAVE_m1n8\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1;"\
"addq $8,%3;"\
"42225:\n\t"\
"movq %%r14,%8;shlq $3,%8;subq %8,%3;shrq $3,%8;"\
"shlq $3,%4;addq %4,%3;shrq $3,%4;"\
:"+r"(a_block_pointer),"+r"(packed_b_pointer),"+r"(K),"+r"(c_pointer),"+r"(ldc_in_bytes),"+Yk"(k02),"+Yk"(k03),"+Yk"(k01),\
"+r"(M),"+r"(alpha),"+r"(c_store),"+r"(b_pref)\
::"zmm0","zmm1","zmm2","zmm3","zmm4","zmm5","zmm6","zmm7","zmm8","zmm9","zmm10","zmm11","zmm12","zmm13","zmm14","zmm15","cc","memory","k1","r12","r13","r14");\
a_block_pointer -= M * K;\
}
#define COMPUTE_n16 {\
b_pref = packed_b_pointer + 16 * K;\
__asm__ __volatile__(\
"vbroadcastsd (%9),%%zmm3;"\
"movq %8,%%r14;movq %2,%%r13;movq %2,%%r12;shlq $5,%%r12;"\
"cmpq $8,%8; jb 32222f;"\
"32221:\n\t"\
INNER_INIT_m8n16\
INNER_KERNELm8(16)\
INNER_SAVE_m8n16\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1; addq %%r12,%0;"\
"addq $64,%3;"\
"subq $8,%8; cmpq $8,%8; jnb 32221b;"\
"32222:\n\t"\
"cmpq $4,%8; jb 32223f;"\
INNER_INIT_m4n16\
INNER_KERNELm4(16)\
INNER_SAVE_m4n16\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1;"\
"addq $32,%3;"\
"subq $4,%8;"\
"32223:\n\t"\
"cmpq $2,%8; jb 32224f;"\
INNER_INIT_m2n16\
INNER_KERNELm2(16)\
INNER_SAVE_m2n16\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1;"\
"addq $16,%3;"\
"subq $2,%8;"\
"32224:\n\t"\
"cmpq $1,%8; jb 32225f;"\
INNER_INIT_m1n16\
INNER_KERNELm1(16)\
INNER_SAVE_m1n16\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1;"\
"addq $8,%3;"\
"32225:\n\t"\
"movq %%r14,%8;shlq $3,%8;subq %8,%3;shrq $3,%8;"\
"shlq $4,%4;addq %4,%3;shrq $4,%4;"\
"leaq (%1,%%r12,4),%1;"\
:"+r"(a_block_pointer),"+r"(packed_b_pointer),"+r"(K),"+r"(c_pointer),"+r"(ldc_in_bytes),"+Yk"(k02),"+Yk"(k03),"+Yk"(k01),\
"+r"(M),"+r"(alpha),"+r"(c_store),"+r"(b_pref)\
::"zmm0","zmm1","zmm2","zmm3","zmm4","zmm5","zmm6","zmm7","zmm8","zmm9","zmm10","zmm11","zmm12","zmm13","zmm14","zmm15","zmm16","zmm17",\
"zmm18","zmm19","zmm20","zmm21","zmm22","zmm23","cc","memory","k1","r12","r13","r14");\
a_block_pointer -= M * K;\
}
#define COMPUTE_n24 {\
b_pref = packed_b_pointer + 24 * K;\
__asm__ __volatile__(\
"vbroadcastsd (%9),%%zmm3;"\
"movq %8,%%r14;movq %2,%%r13;movq %2,%%r12;shlq $5,%%r12;"\
"cmpq $8,%8; jb 22222f;"\
"22221:\n\t"\
INNER_INIT_m8n24\
INNER_KERNELm8(24)\
INNER_SAVE_m8n24\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1; addq %%r12,%0;"\
"addq $64,%3;"\
"subq $8,%8; cmpq $8,%8; jnb 22221b;"\
"22222:\n\t"\
"cmpq $4,%8; jb 22223f;"\
INNER_INIT_m4n24\
INNER_KERNELm4(24)\
INNER_SAVE_m4n24\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1;"\
"addq $32,%3;"\
"subq $4,%8;"\
"22223:\n\t"\
"cmpq $2,%8; jb 22224f;"\
INNER_INIT_m2n24\
INNER_KERNELm2(24)\
INNER_SAVE_m2n24\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1;"\
"addq $16,%3;"\
"subq $2,%8;"\
"22224:\n\t"\
"cmpq $1,%8; jb 22225f;"\
INNER_INIT_m1n24\
INNER_KERNELm1(24)\
INNER_SAVE_m1n24\
"movq %%r13,%2; subq %%r12,%1; subq %%r12,%1;"\
"addq $8,%3;"\
"22225:\n\t"\
"movq %%r14,%8;shlq $3,%8;subq %8,%3;shrq $3,%8;"\
"shlq $3,%4;addq %4,%3;shlq $1,%4;addq %4,%3;shrq $4,%4;"\
"leaq (%1,%%r12,4),%1; leaq (%1,%%r12,2),%1;"\
:"+r"(a_block_pointer),"+r"(packed_b_pointer),"+r"(K),"+r"(c_pointer),"+r"(ldc_in_bytes),"+Yk"(k02),"+Yk"(k03),"+Yk"(k01),\
"+r"(M),"+r"(alpha),"+r"(c_store),"+r"(b_pref)::\
"zmm0","zmm1","zmm2","zmm3","zmm4","zmm5","zmm6","zmm7","zmm8","zmm9","zmm10","zmm11","zmm12","zmm13","zmm14","zmm15","zmm16","zmm17","zmm18",\
"zmm19","zmm20","zmm21","zmm22","zmm23","zmm24","zmm25","zmm26","zmm27","zmm28","zmm29","zmm30","zmm31","cc","memory","k1","r12","r13","r14");\
a_block_pointer -= M * K;\
}
static void KERNEL_MAIN(double *packed_a, double *packed_b, BLASLONG m, BLASLONG ndiv8, BLASLONG k, BLASLONG LDC, double *c,double *alpha){//icopy=4,ocopy=8
//perform C += A<pack> B<pack>
if(k==0 || m==0 || ndiv8==0) return;
int64_t ldc_in_bytes = (int64_t)LDC * sizeof(double);
int64_t K = (int64_t)k; int64_t M = (int64_t)m;
double *a_block_pointer,*b_pref;
double *c_pointer = c,*c_store = c;
__mmask16 k01 = 0x00f0,k02 = 0x000f,k03 = 0x0033;
BLASLONG ndiv8_count;
double *packed_b_pointer = packed_b;
a_block_pointer = packed_a;
for(ndiv8_count=ndiv8;ndiv8_count>2;ndiv8_count-=3){
COMPUTE_n24
}
for(;ndiv8_count>1;ndiv8_count-=2){
COMPUTE_n16
}
if(ndiv8_count>0){
COMPUTE_n8
}
}
/* __m256d accumulators: yc1-yc4; temporary variables: ya1,yb1-yb2 */
/* __m128d accumulators: xc1-xc2; temporary variables: xa1,xb1-xb2 */
/* double accumulator: sc1; temporary variables: sa1,sb1 */
/* column-major c_block */
#define KERNEL_m4n4k1 {\
ya1 = _mm256_loadu_pd(a_block_pointer);a_block_pointer+=4;\
yb1 = _mm256_broadcast_sd(b_block_pointer); yc1 = _mm256_fmadd_pd(ya1,yb1,yc1);\
yb2 = _mm256_broadcast_sd(b_block_pointer+1); yc2 = _mm256_fmadd_pd(ya1,yb2,yc2);\
yb1 = _mm256_broadcast_sd(b_block_pointer+2); yc3 = _mm256_fmadd_pd(ya1,yb1,yc3);\
yb2 = _mm256_broadcast_sd(b_block_pointer+3); yc4 = _mm256_fmadd_pd(ya1,yb2,yc4);\
b_block_pointer+=4;\
}
#define KERNEL_m4n2k1 {\
ya1 = _mm256_loadu_pd(a_block_pointer);a_block_pointer+=4;\
yb1 = _mm256_broadcast_sd(b_block_pointer); yc1 = _mm256_fmadd_pd(ya1,yb1,yc1);\
yb2 = _mm256_broadcast_sd(b_block_pointer+1); yc2 = _mm256_fmadd_pd(ya1,yb2,yc2);\
b_block_pointer+=2;\
}
#define KERNEL_m4n1k1 {\
ya1 = _mm256_loadu_pd(a_block_pointer);a_block_pointer+=4;\
yb1 = _mm256_broadcast_sd(b_block_pointer); yc1 = _mm256_fmadd_pd(ya1,yb1,yc1);\
b_block_pointer++;\
}
#define INIT_m4n1 yc1=_mm256_setzero_pd();
#define INIT_m4n2 yc2=INIT_m4n1
#define INIT_m4n4 yc4=yc3=INIT_m4n2
#define SAVE_m4n1 {\
yb1 = _mm256_broadcast_sd(alpha);\
ya1 = _mm256_loadu_pd(c_pointer);\
yc1 = _mm256_fmadd_pd(yc1,yb1,ya1);\
_mm256_storeu_pd(c_pointer,yc1);\
c_pointer += 4;\
}
#define SAVE_m4n2 {\
ya1 = _mm256_broadcast_sd(alpha);\
yb1 = _mm256_loadu_pd(c_pointer); yb2 = _mm256_loadu_pd(c_pointer+LDC);\
yc1 = _mm256_fmadd_pd(yc1,ya1,yb1); yc2 = _mm256_fmadd_pd(yc2,ya1,yb2);\
_mm256_storeu_pd(c_pointer,yc1); _mm256_storeu_pd(c_pointer+LDC,yc2);\
c_pointer += 4;\
}
#define SAVE_m4n4 {\
ya1 = _mm256_broadcast_sd(alpha);\
yb1 = _mm256_loadu_pd(c_pointer); yb2 = _mm256_loadu_pd(c_pointer+LDC);\
yc1 = _mm256_fmadd_pd(yc1,ya1,yb1); yc2 = _mm256_fmadd_pd(yc2,ya1,yb2);\
_mm256_storeu_pd(c_pointer,yc1); _mm256_storeu_pd(c_pointer+LDC,yc2);\
c_pointer += LDC*2;\
yb1 = _mm256_loadu_pd(c_pointer); yb2 = _mm256_loadu_pd(c_pointer+LDC);\
yc3 = _mm256_fmadd_pd(yc3,ya1,yb1); yc4 = _mm256_fmadd_pd(yc4,ya1,yb2);\
_mm256_storeu_pd(c_pointer,yc3); _mm256_storeu_pd(c_pointer+LDC,yc4);\
c_pointer += 4-LDC*2;\
}
#define KERNEL_m2n2k1 {\
xa1 = _mm_loadu_pd(a_block_pointer); a_block_pointer+=2;\
xb1 = _mm_loaddup_pd(b_block_pointer); xc1 = _mm_fmadd_pd(xa1,xb1,xc1);\
xb2 = _mm_loaddup_pd(b_block_pointer+1); xc2 = _mm_fmadd_pd(xa1,xb2,xc2);\
b_block_pointer += 2;\
}
#define KERNEL_m2n1k1 {\
xa1 = _mm_loadu_pd(a_block_pointer); a_block_pointer+=2;\
xb1 = _mm_loaddup_pd(b_block_pointer); xc1 = _mm_fmadd_pd(xa1,xb1,xc1);\
b_block_pointer ++;\
}
#define INIT_m2n1 xc1=_mm_setzero_pd();
#define INIT_m2n2 xc2=INIT_m2n1
#define SAVE_m2n1 {\
xb1 = _mm_loaddup_pd(alpha);\
xa1 = _mm_loadu_pd(c_pointer);\
xc1 = _mm_fmadd_pd(xc1,xb1,xa1);\
_mm_storeu_pd(c_pointer,xc1);\
c_pointer += 2;\
}
#define SAVE_m2n2 {\
xa1 = _mm_loaddup_pd(alpha);\
xb1 = _mm_loadu_pd(c_pointer); xb2 = _mm_loadu_pd(c_pointer+LDC);\
xc1 = _mm_fmadd_pd(xc1,xa1,xb1); xc2 = _mm_fmadd_pd(xc2,xa1,xb2);\
_mm_storeu_pd(c_pointer,xc1); _mm_storeu_pd(c_pointer+LDC,xc2);\
c_pointer += 2;\
}
#define KERNEL_m1n1k1 {\
sa1 = *a_block_pointer; a_block_pointer++;\
sb1 = *b_block_pointer; sc1 += sa1 * sb1;\
b_block_pointer ++;\
}
#define INIT_m1n1 sc1=0.0;
#define SAVE_m1n1 {\
*c_pointer += sc1 * (*alpha);\
c_pointer++;\
}
/* row-major c_block */
#define KERNEL_m2n4k1 {\
yb1 = _mm256_loadu_pd(b_block_pointer);b_block_pointer+=4;\
ya1 = _mm256_broadcast_sd(a_block_pointer); yc1 = _mm256_fmadd_pd(ya1,yb1,yc1);\
ya1 = _mm256_broadcast_sd(a_block_pointer+1);yc2 = _mm256_fmadd_pd(ya1,yb1,yc2);\
a_block_pointer += 2;\
}
#define KERNEL_m1n4k1 {\
yb1 = _mm256_loadu_pd(b_block_pointer);b_block_pointer+=4;\
ya1 = _mm256_broadcast_sd(a_block_pointer); yc1 = _mm256_fmadd_pd(ya1,yb1,yc1);\
a_block_pointer ++;\
}
#define KERNEL_m1n2k1 {\
xb1 = _mm_loadu_pd(b_block_pointer);b_block_pointer+=2;\
xa1 = _mm_loaddup_pd(a_block_pointer); xc1 = _mm_fmadd_pd(xa1,xb1,xc1);\
a_block_pointer ++;\
}
#define INIT_m1n2 INIT_m2n1
#define INIT_m1n4 INIT_m4n1
#define INIT_m2n4 INIT_m4n2
#define SAVE_m2n4 {\
ya1 = _mm256_broadcast_sd(alpha);\
yc1 = _mm256_mul_pd(yc1,ya1);\
yc2 = _mm256_mul_pd(yc2,ya1);\
yb1 = _mm256_unpacklo_pd(yc1,yc2);\
yb2 = _mm256_unpackhi_pd(yc1,yc2);\
xb1 = _mm_add_pd(_mm_loadu_pd(c_pointer),_mm256_extractf128_pd(yb1,0));\
xb2 = _mm_add_pd(_mm_loadu_pd(c_pointer+LDC),_mm256_extractf128_pd(yb2,0));\
_mm_storeu_pd(c_pointer,xb1);\
_mm_storeu_pd(c_pointer+LDC,xb2);\
xb1 = _mm_add_pd(_mm_loadu_pd(c_pointer+2*LDC),_mm256_extractf128_pd(yb1,1));\
xb2 = _mm_add_pd(_mm_loadu_pd(c_pointer+3*LDC),_mm256_extractf128_pd(yb2,1));\
_mm_storeu_pd(c_pointer+2*LDC,xb1);\
_mm_storeu_pd(c_pointer+3*LDC,xb2);\
c_pointer += 2;\
}
#define SAVE_m1n2 {\
xb1 = _mm_loaddup_pd(alpha);\
xc1 = _mm_mul_pd(xc1,xb1);\
*c_pointer += _mm_cvtsd_f64(xc1);\
xa1 = _mm_unpackhi_pd(xc1,xc1);\
c_pointer[LDC]+= _mm_cvtsd_f64(xa1);\
c_pointer ++;\
}
#define SAVE_m1n4 {\
ya1 = _mm256_broadcast_sd(alpha);\
yc1 = _mm256_mul_pd(yc1,ya1);\
xb1 = _mm256_extractf128_pd(yc1,0);\
*c_pointer += _mm_cvtsd_f64(xb1);\
xb2 = _mm_unpackhi_pd(xb1,xb1);\
c_pointer[LDC] += _mm_cvtsd_f64(xb2);\
xb1 = _mm256_extractf128_pd(yc1,1);\
c_pointer[LDC*2] += _mm_cvtsd_f64(xb1);\
xb2 = _mm_unpackhi_pd(xb1,xb1);\
c_pointer[LDC*3] += _mm_cvtsd_f64(xb2);\
c_pointer ++;\
}
static void KERNEL_EDGE(double *packed_a, double *packed_b, BLASLONG m, BLASLONG edge_n, BLASLONG k, BLASLONG LDC, double *c,double *alpha){//icopy=8,ocopy=8
//perform C += A<pack> B<pack> , edge_n<8 must be satisfied.
if(k==0 || m==0 || edge_n==0 || (*alpha)==0.0) return;
double *a_block_pointer,*b_block_pointer,*b_base_pointer;
double *c_pointer = c;
__m256d yc1,yc2,yc3,yc4,ya1,yb1,yb2;
__m128d xc1,xc2,xa1,xb1,xb2;
double sc1,sa1,sb1;
BLASLONG m_count,n_count,k_count;
b_base_pointer = packed_b;
//now start calculation of the edge part
for(n_count=edge_n;n_count>3;n_count-=4){
a_block_pointer = packed_a;
for(m_count=m;m_count>3;m_count-=4){
b_block_pointer = b_base_pointer;
INIT_m4n4
for(k_count=0;k_count<k;k_count++) KERNEL_m4n4k1
SAVE_m4n4
}
for(;m_count>1;m_count-=2){
b_block_pointer = b_base_pointer;
INIT_m2n4
for(k_count=0;k_count<k;k_count++) KERNEL_m2n4k1
SAVE_m2n4
}
if(m_count>0){
b_block_pointer = b_base_pointer;
INIT_m1n4
for(k_count=0;k_count<k;k_count++) KERNEL_m1n4k1
SAVE_m1n4
}
b_base_pointer += 4*k;
c_pointer += 4 * LDC - m;
}
for(;n_count>1;n_count-=2){
a_block_pointer = packed_a;
for(m_count=m;m_count>3;m_count-=4){
b_block_pointer = b_base_pointer;
INIT_m4n2
for(k_count=0;k_count<k;k_count++) KERNEL_m4n2k1
SAVE_m4n2
}
for(;m_count>1;m_count-=2){
b_block_pointer = b_base_pointer;
INIT_m2n2
for(k_count=0;k_count<k;k_count++) KERNEL_m2n2k1
SAVE_m2n2
}
if(m_count>0){
b_block_pointer = b_base_pointer;
INIT_m1n2
for(k_count=0;k_count<k;k_count++) KERNEL_m1n2k1
SAVE_m1n2
}
b_base_pointer += 2*k;
c_pointer += 2 * LDC - m;
}
if(n_count>0){
a_block_pointer = packed_a;
for(m_count=m;m_count>3;m_count-=4){
b_block_pointer = b_base_pointer;
INIT_m4n1
for(k_count=0;k_count<k;k_count++) KERNEL_m4n1k1
SAVE_m4n1
}
for(;m_count>1;m_count-=2){
b_block_pointer = b_base_pointer;
INIT_m2n1
for(k_count=0;k_count<k;k_count++) KERNEL_m2n1k1
SAVE_m2n1
}
if(m_count>0){
b_block_pointer = b_base_pointer;
INIT_m1n1
for(k_count=0;k_count<k;k_count++) KERNEL_m1n1k1
SAVE_m1n1
}
}
}
int __attribute__ ((noinline)) CNAME(BLASLONG m, BLASLONG n, BLASLONG k, double alpha, double * __restrict__ A, double * __restrict__ B, double * __restrict__ C, BLASLONG ldc){
if(m==0 || n==0 || k==0 || alpha == 0.0) return 0;
BLASLONG ndiv8 = n/8;double ALPHA = alpha;
double *packed_a = A;
if(ndiv8>0) KERNEL_MAIN(packed_a,B,m,ndiv8,k,ldc,C,&ALPHA);
if(n>ndiv8*8) KERNEL_EDGE(packed_a,B+(int64_t)k*(int64_t)ndiv8*8,m,n-ndiv8*8,k,ldc,C+(int64_t)ldc*(int64_t)ndiv8*8,&ALPHA);
return 0;
}