📄 ztrsm_kernel_ln_2x2_sse2.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 ALPHA_R 16(%rsp)#define ALPHA_I 32(%rsp)#define OFFSET 40(%rsp)#define KK 48(%rsp)#define KKK 56(%rsp)#define AORIG 64(%rsp)#define BORIG 72(%rsp)#define BUFFER 128(%rsp)#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) \ mulpd %xmm8, %xmm9 ;\ addpd %xmm9, %xmm0 ;\ movapd 0 * SIZE + 2 * (xx) * SIZE(BO), %xmm9 ;\ mulpd %xmm8, %xmm11 ;\ PREFETCH (PREFETCHSIZE + 0) * SIZE + 1 * (xx) * SIZE(AO) ;\ addpd %xmm11, %xmm1 ;\ movapd 2 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulpd %xmm8, %xmm13 ;\ mulpd 6 * SIZE + 2 * (xx) * SIZE(BO), %xmm8 ;\ addpd %xmm13, %xmm2 ;\ movapd 4 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addpd %xmm8, %xmm3 ;\ movapd 8 * SIZE + 1 * (xx) * SIZE(AO), %xmm8#define KERNEL2(xx) \ mulpd %xmm10, %xmm9 ;\ addpd %xmm9, %xmm4 ;\ movapd 16 * SIZE + 2 * (xx) * SIZE(BO), %xmm9 ;\ mulpd %xmm10, %xmm11 ;\ addpd %xmm11, %xmm5 ;\ movapd 10 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulpd %xmm10, %xmm13 ;\ mulpd 6 * SIZE + 2 * (xx) * SIZE(BO), %xmm10 ;\ addpd %xmm13, %xmm6 ;\ movapd 12 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addpd %xmm10, %xmm7 ;\ movapd 10 * SIZE + 1 * (xx) * SIZE(AO), %xmm10#define KERNEL3(xx) \ mulpd %xmm12, %xmm15 ;\ addpd %xmm15, %xmm0 ;\ movapd 8 * SIZE + 2 * (xx) * SIZE(BO), %xmm15 ;\ mulpd %xmm12, %xmm11 ;\ addpd %xmm11, %xmm1 ;\ movapd 10 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulpd %xmm12, %xmm13 ;\ mulpd 14 * SIZE + 2 * (xx) * SIZE(BO), %xmm12 ;\ addpd %xmm13, %xmm2 ;\ movapd 12 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addpd %xmm12, %xmm3 ;\ movapd 12 * SIZE + 1 * (xx) * SIZE(AO), %xmm12#define KERNEL4(xx) \ mulpd %xmm14, %xmm15 ;\ addpd %xmm15, %xmm4 ;\ movapd 24 * SIZE + 2 * (xx) * SIZE(BO), %xmm15 ;\ mulpd %xmm14, %xmm11 ;\ addpd %xmm11, %xmm5 ;\ movapd 18 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulpd %xmm14, %xmm13 ;\ mulpd 14 * SIZE + 2 * (xx) * SIZE(BO), %xmm14 ;\ addpd %xmm13, %xmm6 ;\ movapd 20 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addpd %xmm14, %xmm7 ;\ movapd 14 * SIZE + 1 * (xx) * SIZE(AO), %xmm14#define KERNEL5(xx) \ mulpd %xmm8, %xmm9 ;\ addpd %xmm9, %xmm0 ;\ movapd 16 * SIZE + 2 * (xx) * SIZE(BO), %xmm9 ;\ mulpd %xmm8, %xmm11 ;\ PREFETCH (PREFETCHSIZE + 8) * SIZE + 1 * (xx) * SIZE(AO) ;\ addpd %xmm11, %xmm1 ;\ movapd 18 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulpd %xmm8, %xmm13 ;\ mulpd 22 * SIZE + 2 * (xx) * SIZE(BO), %xmm8 ;\ addpd %xmm13, %xmm2 ;\ movapd 20 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addpd %xmm8, %xmm3 ;\ movapd 16 * SIZE + 1 * (xx) * SIZE(AO), %xmm8#define KERNEL6(xx) \ mulpd %xmm10, %xmm9 ;\ addpd %xmm9, %xmm4 ;\ movapd 32 * SIZE + 2 * (xx) * SIZE(BO), %xmm9 ;\ mulpd %xmm10, %xmm11 ;\ addpd %xmm11, %xmm5 ;\ movapd 26 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulpd %xmm10, %xmm13 ;\ mulpd 22 * SIZE + 2 * (xx) * SIZE(BO), %xmm10 ;\ addpd %xmm13, %xmm6 ;\ movapd 28 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addpd %xmm10, %xmm7 ;\ movapd 18 * SIZE + 1 * (xx) * SIZE(AO), %xmm10#define KERNEL7(xx) \ mulpd %xmm12, %xmm15 ;\ addpd %xmm15, %xmm0 ;\ movapd 24 * SIZE + 2 * (xx) * SIZE(BO), %xmm15 ;\ mulpd %xmm12, %xmm11 ;\ addpd %xmm11, %xmm1 ;\ movapd 26 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulpd %xmm12, %xmm13 ;\ mulpd 30 * SIZE + 2 * (xx) * SIZE(BO), %xmm12 ;\ addpd %xmm13, %xmm2 ;\ movapd 28 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addpd %xmm12, %xmm3 ;\ movapd 20 * SIZE + 1 * (xx) * SIZE(AO), %xmm12#define KERNEL8(xx) \ mulpd %xmm14, %xmm15 ;\ addpd %xmm15, %xmm4 ;\ movapd 40 * SIZE + 2 * (xx) * SIZE(BO), %xmm15 ;\ mulpd %xmm14, %xmm11 ;\ addpd %xmm11, %xmm5 ;\ movapd 34 * SIZE + 2 * (xx) * SIZE(BO), %xmm11 ;\ mulpd %xmm14, %xmm13 ;\ mulpd 30 * SIZE + 2 * (xx) * SIZE(BO), %xmm14 ;\ addpd %xmm13, %xmm6 ;\ movapd 36 * SIZE + 2 * (xx) * SIZE(BO), %xmm13 ;\ addpd %xmm14, %xmm7 ;\ movapd 22 * SIZE + 1 * (xx) * SIZE(AO), %xmm14#ifndef CONJ#define NN#else#if defined(LN) || defined(LT)#define CN#else#define NC#endif#endif 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 movaps %xmm3, %xmm0#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 pcmpeqb %xmm15, %xmm15 psllq $63, %xmm15 # Generate mask pxor %xmm2, %xmm2 movlpd %xmm2, 0 + POSINV movlpd %xmm15, 8 + POSINV 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 .L100 ALIGN_4.L01:#ifdef LN movq OFFSET, %rax addq M, %rax movq %rax, KK#endif /* Copying to Sub Buffer */ 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, 4), 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 addq %rax, %rax ALIGN_4 .L02: PREFETCHNTA 56 * SIZE(B) movlpd 0 * SIZE(B), %xmm0 movlpd 1 * SIZE(B), %xmm1 movlpd 2 * SIZE(B), %xmm2 movlpd 3 * SIZE(B), %xmm3 movlpd 4 * SIZE(B), %xmm4 movlpd 5 * SIZE(B), %xmm5 movlpd 6 * SIZE(B), %xmm6 movlpd 7 * SIZE(B), %xmm7 movlpd %xmm0, 0 * SIZE(BO) movlpd %xmm0, 1 * SIZE(BO) movlpd %xmm1, 2 * SIZE(BO) movlpd %xmm1, 3 * SIZE(BO) movlpd %xmm2, 4 * SIZE(BO) movlpd %xmm2, 5 * SIZE(BO) movlpd %xmm3, 6 * SIZE(BO) movlpd %xmm3, 7 * SIZE(BO) movlpd %xmm4, 8 * SIZE(BO) movlpd %xmm4, 9 * SIZE(BO) movlpd %xmm5, 10 * SIZE(BO) movlpd %xmm5, 11 * SIZE(BO) movlpd %xmm6, 12 * SIZE(BO) movlpd %xmm6, 13 * SIZE(BO) movlpd %xmm7, 14 * SIZE(BO) movlpd %xmm7, 15 * SIZE(BO) subq $-16 * SIZE, BO addq $ 8 * SIZE, B 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 .L05 ALIGN_4.L04: movlpd 0 * SIZE(B), %xmm0 movlpd 1 * SIZE(B), %xmm1 movlpd 2 * SIZE(B), %xmm2 movlpd 3 * SIZE(B), %xmm3 movlpd %xmm0, 0 * SIZE(BO) movlpd %xmm0, 1 * SIZE(BO) movlpd %xmm1, 2 * SIZE(BO) movlpd %xmm1, 3 * SIZE(BO) movlpd %xmm2, 4 * SIZE(BO) movlpd %xmm2, 5 * SIZE(BO) movlpd %xmm3, 6 * SIZE(BO) movlpd %xmm3, 7 * SIZE(BO) addq $ 4 * SIZE, B addq $ 8 * SIZE, BO decq %rax jne .L04 ALIGN_4 .L05:#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 leaq (C, LDC, 1), CO2#ifndef RT leaq (C, LDC, 2), C#endif testq $1, M jle .L30#ifdef LN movq K, %rax salq $0 + ZBASE_SHIFT, %rax subq %rax, AORIG#endif#if defined(LN) || defined(RT) movq KK, %rax movq AORIG, AO salq $ZBASE_SHIFT, %rax addq %rax, AO#endif leaq BUFFER, BO#if defined(LN) || defined(RT) movq KK, %rax salq $1 + ZBASE_SHIFT, %rax leaq (BO, %rax, 2), BO#endif pxor %xmm0, %xmm0 pxor %xmm1, %xmm1 pxor %xmm2, %xmm2 pxor %xmm3, %xmm3#if defined(LT) || defined(RN) movq KK, %rax#else movq K, %rax subq KK, %rax#endif sarq $2, %rax je .L42.L41: movapd 0 * SIZE(AO), %xmm8 movapd 0 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm0 movapd 2 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm1 movapd 4 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm2 movapd 6 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm3 movapd 2 * SIZE(AO), %xmm8 movapd 8 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm0 movapd 10 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm1 movapd 12 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm2 movapd 14 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm3 movapd 4 * SIZE(AO), %xmm8 movapd 16 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm0 movapd 18 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm1 movapd 20 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm2 movapd 22 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm3 movapd 6 * SIZE(AO), %xmm8 movapd 24 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm0 movapd 26 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm1 movapd 28 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm2 movapd 30 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm3 addq $ 8 * SIZE, AO addq $32 * SIZE, BO decq %rax jne .L41.L42:#if defined(LT) || defined(RN) movq KK, %rax#else movq K, %rax subq KK, %rax#endif movapd POSINV, %xmm15 andq $3, %rax # if (k & 1) BRANCH jle .L44.L43: movapd 0 * SIZE(AO), %xmm8 movapd 0 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm0 movapd 2 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm1 movapd 4 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm2 movapd 6 * SIZE(BO), %xmm9 mulpd %xmm8, %xmm9 addpd %xmm9, %xmm3 addq $2 * SIZE, AO # aoffset += 4 addq $8 * SIZE, BO # boffset1 += 8 decq %rax jg .L43 ALIGN_4.L44:#if defined(LN) || defined(RT) movq KK, %rax#ifdef LN subq $1, %rax#else subq $2, %rax#endif movq AORIG, AO movq BORIG, B leaq BUFFER, BO salq $ZBASE_SHIFT, %rax leaq (AO, %rax, 1), AO leaq (B, %rax, 2), B leaq (BO, %rax, 4), BO#endif SHUFPD_1 %xmm1, %xmm1 SHUFPD_1 %xmm3, %xmm3#if defined(NN) || defined(NT) || defined(TN) || defined(TT) || \ defined(NR) || defined(NC) || defined(TR) || defined(TC) xorpd %xmm15, %xmm1 xorpd %xmm15, %xmm3#else xorpd %xmm15, %xmm0 xorpd %xmm15, %xmm2#endif#if defined(NN) || defined(NT) || defined(TN) || defined(TT) || \ defined(RR) || defined(RC) || defined(CR) || defined(CC) subpd %xmm1, %xmm0 subpd %xmm3, %xmm2#else addpd %xmm1, %xmm0 addpd %xmm3, %xmm2#endif#if defined(LN) || defined(LT) movapd 0 * SIZE(B), %xmm1 movapd 2 * SIZE(B), %xmm3 subpd %xmm0, %xmm1 subpd %xmm2, %xmm3#else movapd 0 * SIZE(AO), %xmm1 movapd 2 * SIZE(AO), %xmm3 subpd %xmm0, %xmm1 subpd %xmm2, %xmm3#endif#ifndef CONJ SHUFPD_1 %xmm15, %xmm15#endif#if defined(LN) || defined(LT) movlpd 0 * SIZE(AO), %xmm8 movhpd 0 * SIZE(AO), %xmm8 movlpd 1 * SIZE(AO), %xmm9 movhpd 1 * SIZE(AO), %xmm9 pshufd $0x4e, %xmm1, %xmm0 pshufd $0x4e, %xmm3, %xmm2 xorpd %xmm15, %xmm0 xorpd %xmm15, %xmm2 mulpd %xmm8, %xmm1 mulpd %xmm9, %xmm0 mulpd %xmm8, %xmm3 mulpd %xmm9, %xmm2 addpd %xmm0, %xmm1 addpd %xmm2, %xmm3#endif#ifdef RN movlpd 0 * SIZE(B), %xmm8 movhpd 0 * SIZE(B), %xmm8 movlpd 1 * SIZE(B), %xmm9 movhpd 1 * SIZE(B), %xmm9 movlpd 2 * SIZE(B), %xmm10 movhpd 2 * SIZE(B), %xmm10 movlpd 3 * SIZE(B), %xmm11 movhpd 3 * SIZE(B), %xmm11 movlpd 6 * SIZE(B), %xmm12 movhpd 6 * SIZE(B), %xmm12 movlpd 7 * SIZE(B), %xmm13 movhpd 7 * SIZE(B), %xmm13 pshufd $0x4e, %xmm1, %xmm0 xorpd %xmm15, %xmm0 mulpd %xmm8, %xmm1 mulpd %xmm9, %xmm0 addpd %xmm0, %xmm1 movapd %xmm1, %xmm0 pshufd $0x4e, %xmm1, %xmm4 xorpd %xmm15, %xmm4 mulpd %xmm10, %xmm0 mulpd %xmm11, %xmm4 subpd %xmm0, %xmm3 subpd %xmm4, %xmm3 pshufd $0x4e, %xmm3, %xmm2 xorpd %xmm15, %xmm2 mulpd %xmm12, %xmm3 mulpd %xmm13, %xmm2 addpd %xmm2, %xmm3#endif#ifdef RT movlpd 6 * SIZE(B), %xmm8 movhpd 6 * SIZE(B), %xmm8 movlpd 7 * SIZE(B), %xmm9 movhpd 7 * SIZE(B), %xmm9 movlpd 4 * SIZE(B), %xmm10 movhpd 4 * SIZE(B), %xmm10 movlpd 5 * SIZE(B), %xmm11 movhpd 5 * SIZE(B), %xmm11 movlpd 0 * SIZE(B), %xmm12 movhpd 0 * SIZE(B), %xmm12 movlpd 1 * SIZE(B), %xmm13 movhpd 1 * SIZE(B), %xmm13 pshufd $0x4e, %xmm3, %xmm2 xorpd %xmm15, %xmm2 mulpd %xmm8, %xmm3 mulpd %xmm9, %xmm2 addpd %xmm2, %xmm3 movapd %xmm3, %xmm0 pshufd $0x4e, %xmm3, %xmm4 xorpd %xmm15, %xmm4 mulpd %xmm10, %xmm0 mulpd %xmm11, %xmm4 subpd %xmm0, %xmm1 subpd %xmm4, %xmm1
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