📄 ztrsm_kernel_lt_4x2_sse.s
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/*********************************************************************//* *//* Optimized BLAS libraries *//* By Kazushige Goto <kgoto@tacc.utexas.edu> *//* *//* Copyright (c) The University of Texas, 2005. All rights reserved. *//* UNIVERSITY EXPRESSLY DISCLAIMS ANY AND ALL WARRANTIES CONCERNING *//* THIS SOFTWARE AND DOCUMENTATION, INCLUDING ANY WARRANTIES OF *//* MERCHANTABILITY, FITNESS FOR ANY PARTICULAR PURPOSE, *//* NON-INFRINGEMENT AND WARRANTIES OF PERFORMANCE, AND ANY WARRANTY *//* THAT MIGHT OTHERWISE ARISE FROM COURSE OF DEALING OR USAGE OF *//* TRADE. NO WARRANTY IS EITHER EXPRESS OR IMPLIED WITH RESPECT TO *//* THE USE OF THE SOFTWARE OR DOCUMENTATION. *//* Under no circumstances shall University be liable for incidental, *//* special, indirect, direct or consequential damages or loss of *//* profits, interruption of business, or related expenses which may *//* arise from use of Software or Documentation, including but not *//* limited to those resulting from defects in Software and/or *//* Documentation, or loss or inaccuracy of data of any kind. *//*********************************************************************/#define ASSEMBLER#include "common.h" #define OLD_M %rdi#define OLD_N %rsi#define M %r13#define N %r14#define K %rdx#define A %rcx#define B %r8#define C %r9#define LDC %r10#define I %r11#define J %r12#define AO %rdi#define BO %rsi#define CO1 %r15#define CO2 %rbp#ifndef WINDOWS_ABI#define STACKSIZE 64#define OLD_LDC 8 + STACKSIZE(%rsp)#define OLD_OFFSET 16 + STACKSIZE(%rsp)#else#define STACKSIZE 256#define OLD_ALPHA_I 40 + STACKSIZE(%rsp)#define OLD_A 48 + STACKSIZE(%rsp)#define OLD_B 56 + STACKSIZE(%rsp)#define OLD_C 64 + STACKSIZE(%rsp)#define OLD_LDC 72 + STACKSIZE(%rsp)#define OLD_OFFSET 80 + STACKSIZE(%rsp)#endif#define POSINV 0(%rsp)#define OFFSET 16(%rsp)#define KK 24(%rsp)#define KKK 32(%rsp)#define AORIG 40(%rsp)#define BORIG 48(%rsp)#define BUFFER 128(%rsp)#ifdef OPTERON#define movsd movlps#endif#if defined(PENTIUM4) || defined(CORE2) || defined(PENRYN)#define PREFETCH prefetcht0#define PREFETCHW prefetcht0#define PREFETCHNTA prefetchnta#define PREFETCHSIZE (8 * 6 + 4)#endif#if defined(OPTERON) || defined(BARCELONA)#define PREFETCH prefetch#define PREFETCHW prefetchw#define PREFETCHNTA prefetchnta#define PREFETCHSIZE (8 * 6 + 4)#endif#ifdef GENERIC#define PREFETCH prefetcht0#define PREFETCHW prefetcht0#define PREFETCHNTA prefetchnta#define PREFETCHSIZE (8 * 6 + 4)#endif#define KERNEL1(xx) \ mulps %xmm8, %xmm9 ;\ addps %xmm9, %xmm0 ;\ movaps 0 * SIZE + 2 * (xx) * SIZE(BO), %xmm9 ;\ mulps %xmm8, %xmm11 ;\ PREFETCH (PREFETCHSIZE + 0) * SIZE + 1 * (xx) * SIZE(AO) ;\ addps %xmm11, %xmm1 ;\ movaps 4 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulps %xmm8, %xmm13 ;\ mulps 12 * SIZE + 2 * (xx) * SIZE(BO), %xmm8 ;\ addps %xmm13, %xmm2 ;\ movaps 8 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addps %xmm8, %xmm3 ;\ movaps 16 * SIZE + 1 * (xx) * SIZE(AO), %xmm8#define KERNEL2(xx) \ mulps %xmm10, %xmm9 ;\ addps %xmm9, %xmm4 ;\ movaps 32 * SIZE + 2 * (xx) * SIZE(BO), %xmm9 ;\ mulps %xmm10, %xmm11 ;\ addps %xmm11, %xmm5 ;\ movaps 20 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulps %xmm10, %xmm13 ;\ mulps 12 * SIZE + 2 * (xx) * SIZE(BO), %xmm10 ;\ addps %xmm13, %xmm6 ;\ movaps 24 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addps %xmm10, %xmm7 ;\ movaps 20 * SIZE + 1 * (xx) * SIZE(AO), %xmm10#define KERNEL3(xx) \ mulps %xmm12, %xmm15 ;\ addps %xmm15, %xmm0 ;\ movaps 16 * SIZE + 2 * (xx) * SIZE(BO), %xmm15 ;\ mulps %xmm12, %xmm11 ;\ addps %xmm11, %xmm1 ;\ movaps 20 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulps %xmm12, %xmm13 ;\ mulps 28 * SIZE + 2 * (xx) * SIZE(BO), %xmm12 ;\ addps %xmm13, %xmm2 ;\ movaps 24 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addps %xmm12, %xmm3 ;\ movaps 24 * SIZE + 1 * (xx) * SIZE(AO), %xmm12#define KERNEL4(xx) \ mulps %xmm14, %xmm15 ;\ addps %xmm15, %xmm4 ;\ movaps 48 * SIZE + 2 * (xx) * SIZE(BO), %xmm15 ;\ mulps %xmm14, %xmm11 ;\ addps %xmm11, %xmm5 ;\ movaps 36 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulps %xmm14, %xmm13 ;\ mulps 28 * SIZE + 2 * (xx) * SIZE(BO), %xmm14 ;\ addps %xmm13, %xmm6 ;\ movaps 40 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addps %xmm14, %xmm7 ;\ movaps 28 * SIZE + 1 * (xx) * SIZE(AO), %xmm14#define KERNEL5(xx) \ mulps %xmm8, %xmm9 ;\ addps %xmm9, %xmm0 ;\ movaps 32 * SIZE + 2 * (xx) * SIZE(BO), %xmm9 ;\ mulps %xmm8, %xmm11 ;\ PREFETCH (PREFETCHSIZE + 8) * SIZE + 1 * (xx) * SIZE(AO) ;\ addps %xmm11, %xmm1 ;\ movaps 36 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulps %xmm8, %xmm13 ;\ mulps 44 * SIZE + 2 * (xx) * SIZE(BO), %xmm8 ;\ addps %xmm13, %xmm2 ;\ movaps 40 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addps %xmm8, %xmm3 ;\ movaps 32 * SIZE + 1 * (xx) * SIZE(AO), %xmm8#define KERNEL6(xx) \ mulps %xmm10, %xmm9 ;\ addps %xmm9, %xmm4 ;\ movaps 64 * SIZE + 2 * (xx) * SIZE(BO), %xmm9 ;\ mulps %xmm10, %xmm11 ;\ addps %xmm11, %xmm5 ;\ movaps 52 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulps %xmm10, %xmm13 ;\ mulps 44 * SIZE + 2 * (xx) * SIZE(BO), %xmm10 ;\ addps %xmm13, %xmm6 ;\ movaps 56 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addps %xmm10, %xmm7 ;\ movaps 36 * SIZE + 1 * (xx) * SIZE(AO), %xmm10#define KERNEL7(xx) \ mulps %xmm12, %xmm15 ;\ addps %xmm15, %xmm0 ;\ movaps 48 * SIZE + 2 * (xx) * SIZE(BO), %xmm15 ;\ mulps %xmm12, %xmm11 ;\ addps %xmm11, %xmm1 ;\ movaps 52 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulps %xmm12, %xmm13 ;\ mulps 60 * SIZE + 2 * (xx) * SIZE(BO), %xmm12 ;\ addps %xmm13, %xmm2 ;\ movaps 56 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addps %xmm12, %xmm3 ;\ movaps 40 * SIZE + 1 * (xx) * SIZE(AO), %xmm12#define KERNEL8(xx) \ mulps %xmm14, %xmm15 ;\ addps %xmm15, %xmm4 ;\ movaps 80 * SIZE + 2 * (xx) * SIZE(BO), %xmm15 ;\ mulps %xmm14, %xmm11 ;\ addps %xmm11, %xmm5 ;\ movaps 68 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulps %xmm14, %xmm13 ;\ mulps 60 * SIZE + 2 * (xx) * SIZE(BO), %xmm14 ;\ addps %xmm13, %xmm6 ;\ movaps 72 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addps %xmm14, %xmm7 ;\ movaps 44 * SIZE + 1 * (xx) * SIZE(AO), %xmm14 PROLOGUE PROFCODE subq $STACKSIZE, %rsp movq %rbx, 0(%rsp) movq %rbp, 8(%rsp) movq %r12, 16(%rsp) movq %r13, 24(%rsp) movq %r14, 32(%rsp) movq %r15, 40(%rsp)#ifdef WINDOWS_ABI movq %rdi, 48(%rsp) movq %rsi, 56(%rsp) movups %xmm6, 64(%rsp) movups %xmm7, 80(%rsp) movups %xmm8, 96(%rsp) movups %xmm9, 112(%rsp) movups %xmm10, 128(%rsp) movups %xmm11, 144(%rsp) movups %xmm12, 160(%rsp) movups %xmm13, 176(%rsp) movups %xmm14, 192(%rsp) movups %xmm15, 208(%rsp) movq ARG1, OLD_M movq ARG2, OLD_N movq ARG3, K movq OLD_A, A movq OLD_B, B movq OLD_C, C movq OLD_LDC, LDC movsd OLD_OFFSET, %xmm4#else movq OLD_LDC, LDC movsd OLD_OFFSET, %xmm4#endif EMMS movq %rsp, %rbx # save old stack subq $128 + GEMM_Q * 64, %rsp andq $-4096, %rsp # align stack#ifdef WINDOWS_ABI#if GEMM_Q > 192 movq $0, 4096 * 3(%rsp)#endif#if GEMM_Q > 128 movq $0, 4096 * 2(%rsp)#endif#if GEMM_Q > 64 movq $0, 4096 * 1(%rsp)#endif movq $0, 4096 * 0(%rsp)#endif movq OLD_M, M movq OLD_N, N pxor %xmm15, %xmm15 cmpeqps %xmm15, %xmm15 pslld $31, %xmm15 # Generate mask pxor %xmm2, %xmm2#ifndef CONJ movss %xmm15, 0 + POSINV movss %xmm2, 4 + POSINV movss %xmm15, 8 + POSINV movss %xmm2, 12 + POSINV#else movss %xmm2, 0 + POSINV movss %xmm15, 4 + POSINV movss %xmm2, 8 + POSINV movss %xmm15, 12 + POSINV#endif movlpd %xmm4, OFFSET movlpd %xmm4, KK salq $ZBASE_SHIFT, LDC#ifdef LN movq M, %rax salq $ZBASE_SHIFT, %rax addq %rax, C imulq K, %rax addq %rax, A#endif#ifdef RT movq N, %rax salq $ZBASE_SHIFT, %rax imulq K, %rax addq %rax, B movq N, %rax imulq LDC, %rax addq %rax, C#endif#ifdef RN negq KK#endif #ifdef RT movq N, %rax subq OFFSET, %rax movq %rax, KK#endif movq N, J sarq $1, J # j = (n >> 2) jle .L40 ALIGN_4.L01:#ifdef LN movq OFFSET, %rax addq M, %rax movq %rax, KK#endif leaq BUFFER, BO #ifdef RT movq K, %rax salq $1 + ZBASE_SHIFT, %rax subq %rax, B#endif#if defined(LN) || defined(RT) movq KK, %rax movq B, BORIG salq $ZBASE_SHIFT, %rax leaq (B, %rax, 2), B leaq (BO, %rax, 8), BO#endif #if defined(LT) movq OFFSET, %rax movq %rax, KK#endif#if defined(LT) || defined(RN) movq KK, %rax#else movq K, %rax subq KK, %rax#endif sarq $2, %rax jle .L03 ALIGN_4 .L02: movaps 0 * SIZE(B), %xmm3 movaps 4 * SIZE(B), %xmm7 pshufd $0x00, %xmm3, %xmm0 pshufd $0x55, %xmm3, %xmm1 pshufd $0xaa, %xmm3, %xmm2 pshufd $0xff, %xmm3, %xmm3 movaps %xmm0, 0 * SIZE(BO) movaps %xmm1, 4 * SIZE(BO) movaps %xmm2, 8 * SIZE(BO) movaps %xmm3, 12 * SIZE(BO) pshufd $0x00, %xmm7, %xmm4 pshufd $0x55, %xmm7, %xmm5 pshufd $0xaa, %xmm7, %xmm6 pshufd $0xff, %xmm7, %xmm7 movaps %xmm4, 16 * SIZE(BO) movaps %xmm5, 20 * SIZE(BO) movaps %xmm6, 24 * SIZE(BO) movaps %xmm7, 28 * SIZE(BO) movaps 8 * SIZE(B), %xmm3 movaps 12 * SIZE(B), %xmm7 pshufd $0x00, %xmm3, %xmm0 pshufd $0x55, %xmm3, %xmm1 pshufd $0xaa, %xmm3, %xmm2 pshufd $0xff, %xmm3, %xmm3 movaps %xmm0, 32 * SIZE(BO) movaps %xmm1, 36 * SIZE(BO) movaps %xmm2, 40 * SIZE(BO) movaps %xmm3, 44 * SIZE(BO) pshufd $0x00, %xmm7, %xmm4 pshufd $0x55, %xmm7, %xmm5 pshufd $0xaa, %xmm7, %xmm6 pshufd $0xff, %xmm7, %xmm7 movaps %xmm4, 48 * SIZE(BO) movaps %xmm5, 52 * SIZE(BO) movaps %xmm6, 56 * SIZE(BO) movaps %xmm7, 60 * SIZE(BO) addq $16 * SIZE, B addq $64 * SIZE, BO decq %rax jne .L02 ALIGN_4.L03:#if defined(LT) || defined(RN) movq KK, %rax#else movq K, %rax subq KK, %rax#endif andq $3, %rax BRANCH jle .L10 ALIGN_4.L04: movaps 0 * SIZE(B), %xmm3 pshufd $0x00, %xmm3, %xmm0 pshufd $0x55, %xmm3, %xmm1 pshufd $0xaa, %xmm3, %xmm2 pshufd $0xff, %xmm3, %xmm3 movaps %xmm0, 0 * SIZE(BO) movaps %xmm1, 4 * SIZE(BO) movaps %xmm2, 8 * SIZE(BO) movaps %xmm3, 12 * SIZE(BO) addq $ 4 * SIZE, B addq $16 * SIZE, BO decq %rax jne .L04 ALIGN_4 .L10:#if defined(LT) || defined(RN) movq A, AO#else movq A, AORIG#endif#ifdef RT leaq (, LDC, 2), %rax subq %rax, C#endif movq C, CO1 # coffset1 = c leaq (C, LDC, 1), CO2#ifndef RT leaq (C, LDC, 2), C#endif movq M, I sarq $2, I # i = (m >> 2) jle .L20 ALIGN_4.L11:#ifdef LN movq K, %rax salq $2 + ZBASE_SHIFT, %rax subq %rax, AORIG#endif#if defined(LN) || defined(RT) movq KK, %rax movq AORIG, AO salq $ZBASE_SHIFT, %rax leaq (AO, %rax, 4), AO#endif leaq BUFFER, BO#if defined(LN) || defined(RT) movq KK, %rax salq $1 + ZBASE_SHIFT, %rax leaq (BO, %rax, 4), BO#endif movaps 0 * SIZE(BO), %xmm9 movaps 4 * SIZE(BO), %xmm11 movaps 8 * SIZE(BO), %xmm13 movaps 16 * SIZE(BO), %xmm15 movaps 0 * SIZE(AO), %xmm8 pxor %xmm0, %xmm0 movaps 4 * SIZE(AO), %xmm10 pxor %xmm1, %xmm1 movaps 8 * SIZE(AO), %xmm12 pxor %xmm2, %xmm2 movaps 12 * SIZE(AO), %xmm14 pxor %xmm3, %xmm3 PREFETCHW 7 * SIZE(CO1) pxor %xmm4, %xmm4 PREFETCHW 7 * SIZE(CO2) pxor %xmm5, %xmm5 pxor %xmm6, %xmm6 pxor %xmm7, %xmm7#if defined(LT) || defined(RN) movq KK, %rax#else movq K, %rax subq KK, %rax#endif andq $-8, %rax salq $4, %rax je .L15.L1X: KERNEL1(32 * 0) KERNEL2(32 * 0) KERNEL3(32 * 0) KERNEL4(32 * 0) KERNEL5(32 * 0) KERNEL6(32 * 0) KERNEL7(32 * 0) KERNEL8(32 * 0) KERNEL1(32 * 1) KERNEL2(32 * 1) KERNEL3(32 * 1) KERNEL4(32 * 1) KERNEL5(32 * 1) KERNEL6(32 * 1) KERNEL7(32 * 1) KERNEL8(32 * 1) addq $32 * 2 * SIZE, AO addq $64 * 2 * SIZE, BO subq $64 * 2, %rax jg .L1X.L12: leaq (AO, %rax, 2), AO leaq (BO, %rax, 4), BO ALIGN_4.L15:#if defined(LT) || defined(RN) movq KK, %rax#else movq K, %rax subq KK, %rax#endif movaps POSINV, %xmm15 andq $7, %rax # if (k & 1) BRANCH je .L18 ALIGN_4.L16: mulps %xmm8, %xmm9 addps %xmm9, %xmm0 movaps 4 * SIZE(BO), %xmm9 mulps %xmm8, %xmm9 addps %xmm9, %xmm1 movaps 8 * SIZE(BO), %xmm9 mulps %xmm8, %xmm9 mulps 12 * SIZE(BO), %xmm8 addps %xmm9, %xmm2 movaps 0 * SIZE(BO), %xmm9 addps %xmm8, %xmm3 movaps 8 * SIZE(AO), %xmm8 mulps %xmm10, %xmm9 addps %xmm9, %xmm4 movaps 4 * SIZE(BO), %xmm9 mulps %xmm10, %xmm9 addps %xmm9, %xmm5 movaps 8 * SIZE(BO), %xmm9 mulps %xmm10, %xmm9 mulps 12 * SIZE(BO), %xmm10 addps %xmm9, %xmm6 movaps 16 * SIZE(BO), %xmm9 addps %xmm10, %xmm7 movaps 12 * SIZE(AO), %xmm10 addq $ 8 * SIZE, AO # aoffset += 4 addq $16 * SIZE, BO # boffset1 += 8 decq %rax jg .L16 ALIGN_4.L18: shufps $0xb1, %xmm1, %xmm1 shufps $0xb1, %xmm3, %xmm3 shufps $0xb1, %xmm5, %xmm5 shufps $0xb1, %xmm7, %xmm7#if defined(LN) || defined(LT)#ifndef CONJ xorps %xmm15, %xmm1 xorps %xmm15, %xmm3 xorps %xmm15, %xmm5 xorps %xmm15, %xmm7#else xorps %xmm15, %xmm0 xorps %xmm15, %xmm2 xorps %xmm15, %xmm4 xorps %xmm15, %xmm6#endif#else xorps %xmm15, %xmm1 xorps %xmm15, %xmm3 xorps %xmm15, %xmm5 xorps %xmm15, %xmm7#endif addps %xmm1, %xmm0 addps %xmm3, %xmm2 addps %xmm5, %xmm4 addps %xmm7, %xmm6#if defined(LN) || defined(RT) movq KK, %rax#ifdef LN subq $4, %rax#else subq $2, %rax#endif movq AORIG, AO movq BORIG, B leaq BUFFER, BO salq $ZBASE_SHIFT, %rax leaq (AO, %rax, 4), AO leaq (B, %rax, 2), B leaq (BO, %rax, 8), BO#endif#if defined(LN) || defined(LT) movaps %xmm0, %xmm1 unpcklpd %xmm2, %xmm0 unpckhpd %xmm2, %xmm1 movaps %xmm4, %xmm5 unpcklpd %xmm6, %xmm4 unpckhpd %xmm6, %xmm5 movaps 0 * SIZE(B), %xmm2 movaps 4 * SIZE(B), %xmm3 movaps 8 * SIZE(B), %xmm6 movaps 12 * SIZE(B), %xmm7 subps %xmm0, %xmm2 subps %xmm1, %xmm3 subps %xmm4, %xmm6 subps %xmm5, %xmm7#else movaps 0 * SIZE(AO), %xmm1 movaps 4 * SIZE(AO), %xmm3 movaps 8 * SIZE(AO), %xmm5 movaps 12 * SIZE(AO), %xmm7 subps %xmm0, %xmm1 subps %xmm4, %xmm3 subps %xmm2, %xmm5 subps %xmm6, %xmm7#endif#ifdef LN movaps 28 * SIZE(AO), %xmm8 pshufd $0xee, %xmm8, %xmm9 pshufd $0xbb, %xmm8, %xmm10 pshufd $0xa0, %xmm7, %xmm0 pshufd $0xf5, %xmm7, %xmm7#ifndef CONJ xorps %xmm15, %xmm7#else xorps %xmm15, %xmm0#endif mulps %xmm9, %xmm0 mulps %xmm10, %xmm7 addps %xmm0, %xmm7 pshufd $0x44, %xmm8, %xmm9 pshufd $0x11, %xmm8, %xmm10 pshufd $0xa0, %xmm7, %xmm0 pshufd $0xf5, %xmm7, %xmm1#ifndef CONJ xorps %xmm15, %xmm1#else xorps %xmm15, %xmm0#endif mulps %xmm9, %xmm0 mulps %xmm10, %xmm1 subps %xmm0, %xmm6 subps %xmm1, %xmm6 movaps 24 * SIZE(AO), %xmm8 pshufd $0xee, %xmm8, %xmm9 pshufd $0xbb, %xmm8, %xmm10 pshufd $0xa0, %xmm7, %xmm0 pshufd $0xf5, %xmm7, %xmm1#ifndef CONJ xorps %xmm15, %xmm1#else xorps %xmm15, %xmm0#endif mulps %xmm9, %xmm0 mulps %xmm10, %xmm1 subps %xmm0, %xmm3 subps %xmm1, %xmm3 pshufd $0x44, %xmm8, %xmm9 pshufd $0x11, %xmm8, %xmm10 pshufd $0xa0, %xmm7, %xmm0 pshufd $0xf5, %xmm7, %xmm1#ifndef CONJ xorps %xmm15, %xmm1#else
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