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📄 trsm_kernel_lt_4x4_sse2.s

📁 Optimized GotoBLAS libraries
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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 M	%rdi#define N	%rsi#define K	%rdx#define A	%rcx#define B	%r8#define C	%r9#define LDC	%r10#define I	%r11#define J	%r12#define AO	%r13#define BO	%r14#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_A		40 + STACKSIZE(%rsp)#define OLD_B		48 + STACKSIZE(%rsp)#define OLD_C		56 + STACKSIZE(%rsp)#define OLD_LDC		64 + STACKSIZE(%rsp)#define OLD_OFFSET	72 + STACKSIZE(%rsp)#endif#define ALPHA	  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)#if defined(OPTERON) || defined(BARCELONA)#define PREFETCH     prefetch#define PREFETCHW    prefetchw#define PREFETCHNTA  prefetchnta#ifndef ALLOC_HUGETLB#define PREFETCHSIZE (8 * 4 + 4)#else#define PREFETCHSIZE (8 * 2 + 4)#endif#endif#ifdef GENERIC#define PREFETCH     prefetcht0#define PREFETCHW    prefetcht0#define PREFETCHNTA  prefetchnta#define PREFETCHSIZE (8 * 4 + 4)#endif#ifdef OPTERON	#define movsd	movlpd#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		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,      M	movq	ARG2,      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	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	movsd	%xmm4, OFFSET	movsd	%xmm4, KK	leaq	(, LDC, SIZE), LDC#ifdef LN       leaq	(, M, SIZE), %rax       addq	%rax, C       imulq	K, %rax       addq	%rax, A#endif#ifdef RT       leaq	(, N, SIZE), %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	$2, J		# j = (n >> 2)	jle	.L40.L01:/* Copying to Sub Buffer */#ifdef LN	movq	OFFSET, %rax	addq	M, %rax	movq	%rax, KK#endif		leaq	BUFFER, BO#ifdef RT       movq	K, %rax       salq	$2 + BASE_SHIFT, %rax       subq	%rax, B#endif#if defined(LN) || defined(RT)	movq	KK, %rax	movq	B, BORIG	leaq	(, %rax, SIZE), %rax	leaq	(B,  %rax, 4), 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	addq	%rax, %rax	ALIGN_4	.L02:	PREFETCHNTA	 40 * SIZE(B)	movsd	 0 * SIZE(B), %xmm0	movsd	 1 * SIZE(B), %xmm1	movsd	 2 * SIZE(B), %xmm2	movsd	 3 * SIZE(B), %xmm3	movsd	 4 * SIZE(B), %xmm4	movsd	 5 * SIZE(B), %xmm5	movsd	 6 * SIZE(B), %xmm6	movsd	 7 * SIZE(B), %xmm7	addq	$16 * SIZE, BO	addq	$ 8 * SIZE, B	movsd	%xmm0, -16 * SIZE(BO)	movsd	%xmm0, -15 * SIZE(BO)	movsd	%xmm1, -14 * SIZE(BO)	movsd	%xmm1, -13 * SIZE(BO)	movsd	%xmm2, -12 * SIZE(BO)	movsd	%xmm2, -11 * SIZE(BO)	movsd	%xmm3, -10 * SIZE(BO)	movsd	%xmm3,  -9 * SIZE(BO)	movsd	%xmm4,  -8 * SIZE(BO)	movsd	%xmm4,  -7 * SIZE(BO)	movsd	%xmm5,  -6 * SIZE(BO)	movsd	%xmm5,  -5 * SIZE(BO)	movsd	%xmm6,  -4 * SIZE(BO)	movsd	%xmm6,  -3 * SIZE(BO)	movsd	%xmm7,  -2 * SIZE(BO)	movsd	%xmm7,  -1 * 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:	movsd	 0 * SIZE(B), %xmm0	movsd	 1 * SIZE(B), %xmm1	movsd	 2 * SIZE(B), %xmm2	movsd	 3 * SIZE(B), %xmm3	movsd	%xmm0,  0 * SIZE(BO)	movsd	%xmm0,  1 * SIZE(BO)	movsd	%xmm1,  2 * SIZE(BO)	movsd	%xmm1,  3 * SIZE(BO)	movsd	%xmm2,  4 * SIZE(BO)	movsd	%xmm2,  5 * SIZE(BO)	movsd	%xmm3,  6 * SIZE(BO)	movsd	%xmm3,  7 * SIZE(BO)	addq	$4 * SIZE, B	addq	$8 * 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, 4), %rax       subq	%rax, C#endif	movq	C, CO1			# coffset1 = c	leaq	(C, LDC, 1), CO2	# coffset2 = c + ldc#ifndef RT	leaq	(C, LDC, 4), C#endif	movq	M,  I	sarq	$2, I	# i = (m >> 2)	jle	.L20	ALIGN_4.L11:#ifdef LN       movq	K, %rax       salq	$2 + BASE_SHIFT, %rax       subq	%rax, AORIG#endif#if defined(LN) || defined(RT)	movq	KK, %rax	movq	AORIG, AO	leaq	(, %rax, SIZE), %rax	leaq	(AO, %rax, 4), AO#endif	leaq	BUFFER, BO#if defined(LN) || defined(RT)	movq	KK, %rax	salq	$2 + BASE_SHIFT, %rax	leaq	(BO, %rax, 2), BO#endif		movapd	 0 * SIZE(BO), %xmm9	movapd	 2 * SIZE(BO), %xmm11	movapd	 4 * SIZE(BO), %xmm13	movapd	 8 * SIZE(BO), %xmm15	movapd	 0 * SIZE(AO), %xmm8	pxor	%xmm0, %xmm0	movapd	 2 * SIZE(AO), %xmm10	pxor	%xmm1, %xmm1	movapd	 4 * SIZE(AO), %xmm12	pxor	%xmm2, %xmm2	movapd	 6 * SIZE(AO), %xmm14	pxor	%xmm3, %xmm3	PREFETCHW      4 * SIZE(CO1)	pxor	%xmm4, %xmm4	PREFETCHW      4 * SIZE(CO2)	pxor	%xmm5, %xmm5	PREFETCHW      4 * SIZE(CO1, LDC, 2)	pxor	%xmm6, %xmm6	PREFETCHW      4 * SIZE(CO2, LDC, 2)	pxor	%xmm7, %xmm7#if defined(LT) || defined(RN)	movq	KK, %rax#else	movq	K, %rax	subq	KK, %rax#endif#if 1	andq	$-8, %rax	salq	$4, %rax	je	.L15.L1X:		KERNEL1(16 *  0)	KERNEL2(16 *  0)	KERNEL3(16 *  0)	KERNEL4(16 *  0)	KERNEL5(16 *  0)	KERNEL6(16 *  0)	KERNEL7(16 *  0)	KERNEL8(16 *  0)	KERNEL1(16 *  1)	KERNEL2(16 *  1)	KERNEL3(16 *  1)	KERNEL4(16 *  1)	KERNEL5(16 *  1)	KERNEL6(16 *  1)	KERNEL7(16 *  1)	KERNEL8(16 *  1)	cmpq	$64 *  2, %rax	jle	.L12	KERNEL1(16 *  2)	KERNEL2(16 *  2)	KERNEL3(16 *  2)	KERNEL4(16 *  2)	KERNEL5(16 *  2)	KERNEL6(16 *  2)	KERNEL7(16 *  2)	KERNEL8(16 *  2)	KERNEL1(16 *  3)	KERNEL2(16 *  3)	KERNEL3(16 *  3)	KERNEL4(16 *  3)	KERNEL5(16 *  3)	KERNEL6(16 *  3)	KERNEL7(16 *  3)	KERNEL8(16 *  3)	cmpq	$64 *  4, %rax	jle	.L12	KERNEL1(16 *  4)	KERNEL2(16 *  4)	KERNEL3(16 *  4)	KERNEL4(16 *  4)	KERNEL5(16 *  4)	KERNEL6(16 *  4)	KERNEL7(16 *  4)	KERNEL8(16 *  4)	KERNEL1(16 *  5)	KERNEL2(16 *  5)	KERNEL3(16 *  5)	KERNEL4(16 *  5)	KERNEL5(16 *  5)	KERNEL6(16 *  5)	KERNEL7(16 *  5)	KERNEL8(16 *  5)	cmpq	$64 *  6, %rax	jle	.L12	KERNEL1(16 *  6)	KERNEL2(16 *  6)	KERNEL3(16 *  6)	KERNEL4(16 *  6)	KERNEL5(16 *  6)	KERNEL6(16 *  6)	KERNEL7(16 *  6)	KERNEL8(16 *  6)	KERNEL1(16 *  7)	KERNEL2(16 *  7)	KERNEL3(16 *  7)	KERNEL4(16 *  7)	KERNEL5(16 *  7)	KERNEL6(16 *  7)	KERNEL7(16 *  7)	KERNEL8(16 *  7)	addq	$16 * 8  * SIZE, AO	addq	$32 * 8  * SIZE, BO	subq	$64 * 8, %rax	jg	.L1X.L12:	leaq	(AO, %rax, 2), AO	# * 16	leaq	(BO, %rax, 4), BO	# * 64	ALIGN_4#else	sarq	$3, %rax	je	.L15.L12:		KERNEL1(16 *  0)	KERNEL2(16 *  0)	KERNEL3(16 *  0)	KERNEL4(16 *  0)	KERNEL5(16 *  0)	KERNEL6(16 *  0)	KERNEL7(16 *  0)	KERNEL8(16 *  0)	KERNEL1(16 *  1)	KERNEL2(16 *  1)	KERNEL3(16 *  1)	KERNEL4(16 *  1)	KERNEL5(16 *  1)	KERNEL6(16 *  1)	KERNEL7(16 *  1)	KERNEL8(16 *  1)	addq	$32 * SIZE, AO	addq	$64 * SIZE, BO	decq	%rax	jg	.L12	ALIGN_4#endif.L15:#if defined(LT) || defined(RN)	movq	KK, %rax#else	movq	K, %rax	subq	KK, %rax#endif	andq	$7, %rax		# if (k & 1)	BRANCH	je .L19	ALIGN_4.L16:	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	mulpd	 6 * SIZE(BO), %xmm8	addpd	%xmm9, %xmm2	movapd	 0 * SIZE(BO), %xmm9	addpd	%xmm8, %xmm3	movapd	 4 * SIZE(AO), %xmm8	mulpd	%xmm10, %xmm9	addpd	%xmm9, %xmm4	movapd	 2 * SIZE(BO), %xmm9	mulpd	%xmm10, %xmm9	addpd	%xmm9, %xmm5	movapd	 4 * SIZE(BO), %xmm9	mulpd	%xmm10, %xmm9	mulpd	 6 * SIZE(BO), %xmm10	addpd	%xmm9, %xmm6	movapd	 8 * SIZE(BO), %xmm9	addpd	%xmm10, %xmm7	movapd	 6 * SIZE(AO), %xmm10	addq	$4 * SIZE, AO		# aoffset  += 4	addq	$8 * SIZE, BO		# boffset1 += 8	decq	%rax	jg	.L16	ALIGN_4.L19:#if defined(LN) || defined(RT)	movq	KK, %rax#ifdef LN	subq	$4, %rax#else	subq	$4, %rax#endif	movq	AORIG, AO	movq	BORIG, B	leaq	BUFFER, BO	leaq	(, %rax, SIZE), %rax	leaq	(AO, %rax, 4), AO	leaq	(B,  %rax, 4), B	leaq	(BO, %rax, 8), BO#endif#if defined(LN) || defined(LT)	movapd	%xmm0, %xmm8	unpcklpd %xmm1, %xmm0	unpckhpd %xmm1, %xmm8	movapd	%xmm2, %xmm10	unpcklpd %xmm3, %xmm2	unpckhpd %xmm3, %xmm10	movapd	%xmm4, %xmm12	unpcklpd %xmm5, %xmm4	unpckhpd %xmm5, %xmm12	movapd	%xmm6, %xmm14	unpcklpd %xmm7, %xmm6	unpckhpd %xmm7, %xmm14

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