ztrsm_kernel_ln_2x2_core2.s

Optimized GotoBLAS libraries

/*********************************************************************/
/*                                                                   */
/*             Optimized BLAS libraries                              */
/*                     By Kazushige Goto <[e-mail]>     */
/*                                                                   */
/* 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 AO	%rdi
#define BO	%rsi
#define	CO1	%rbx
#define CO2	%rbp
#define KK	%r12

#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		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 J	 16(%rsp)
#define OFFSET	 24(%rsp)
#define KKK	 32(%rsp)
#define AORIG    40(%rsp)
#define BORIG	 48(%rsp)
#define BUFFER	128(%rsp)
	
#define PREFETCH_R    (8 * 4 + 0)
#define PREFETCH_W    (PREFETCH_R)

#define PREFETCHSIZE  (8 * 17 + 2)
#define PREFETCH     prefetcht0

#ifndef CONJ
#define NN
#else
#if defined(LN) || defined(LT)
#define CN
#else
#define NC
#endif
#endif

#define ADD1	  addpd
#define ADD2	  addpd

	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
#endif

	movq	OLD_LDC,    LDC
	movq	OLD_OFFSET, KK

	movq	%rsp, %r15	# 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	KK, OFFSET

	movq	OLD_M, M
	movq	OLD_N, N

	subq	$-16 * SIZE, A
	subq	$-16 * SIZE, B

	pcmpeqb	%xmm15, %xmm15
	psllq	$63, %xmm15	# Generate mask
	pxor	%xmm2, %xmm2

	movlpd	  %xmm2,  0 + POSINV
	movlpd	  %xmm15, 8 + POSINV

	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	

	leaq	16 * SIZE +  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:
	prefetcht0	(PREFETCH_R + 0) * SIZE(B)

	movddup	 -16 * SIZE(B), %xmm8
	movddup	 -15 * SIZE(B), %xmm9
	movddup	 -14 * SIZE(B), %xmm10
	movddup	 -13 * SIZE(B), %xmm11
	movddup	 -12 * SIZE(B), %xmm12
	movddup	 -11 * SIZE(B), %xmm13
	movddup	 -10 * SIZE(B), %xmm14
	movddup	  -9 * SIZE(B), %xmm15

	prefetcht0	(PREFETCH_W + 0) * SIZE(BO)

	movapd	%xmm8,  -16 * SIZE(BO)
	movapd	%xmm9,  -14 * SIZE(BO)
	movapd	%xmm10,  -12 * SIZE(BO)
	movapd	%xmm11,  -10 * SIZE(BO)

	prefetcht0	(PREFETCH_W + 8) * SIZE(BO)

	movapd	%xmm12,   -8 * SIZE(BO)
	movapd	%xmm13,   -6 * SIZE(BO)
	movapd	%xmm14,   -4 * SIZE(BO)
	movapd	%xmm15,   -2 * SIZE(BO)

	addq	$  8 * SIZE, B
	subq	$-16 * 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	.L05
	ALIGN_4

.L04:
	movddup	 -16 * SIZE(B), %xmm8
	movddup	 -15 * SIZE(B), %xmm9
	movddup	 -14 * SIZE(B), %xmm10
	movddup	 -13 * SIZE(B), %xmm11

	movapd	%xmm8,  -16 * SIZE(BO)
	movapd	%xmm9,  -14 * SIZE(BO)
	movapd	%xmm10,  -12 * SIZE(BO)
	movapd	%xmm11,  -10 * 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	16 * SIZE + BUFFER, BO

#if defined(LN) || defined(RT)
	movq	KK, %rax
	salq	$1 + ZBASE_SHIFT, %rax
	leaq	(BO, %rax, 2), BO
#endif	

	pxor	%xmm8, %xmm8
	pxor	%xmm9, %xmm9
	pxor	%xmm10, %xmm10
	pxor	%xmm11, %xmm11

#if defined(LT) || defined(RN)
	movq	KK, %rax
#else
	movq	K, %rax
	subq	KK, %rax
#endif
	sarq	$2, %rax
	je	.L42

.L41:
	PREFETCH (PREFETCHSIZE +  0) * SIZE(AO)

	movapd	-16 * SIZE(AO), %xmm0
	movapd	-16 * SIZE(BO), %xmm2
	movapd	-14 * SIZE(BO), %xmm3
	movapd	-12 * SIZE(BO), %xmm4
	movapd	-10 * SIZE(BO), %xmm5

	mulpd	%xmm0, %xmm2
	mulpd	%xmm0, %xmm3
	mulpd	%xmm0, %xmm4
	mulpd	%xmm0, %xmm5

	ADD1	%xmm2, %xmm8
	ADD2	%xmm3, %xmm9
	ADD1	%xmm4, %xmm10
	ADD2	%xmm5, %xmm11

	movapd	-14 * SIZE(AO), %xmm0
	movapd	 -8 * SIZE(BO), %xmm2
	movapd	 -6 * SIZE(BO), %xmm3
	movapd	 -4 * SIZE(BO), %xmm4
	movapd	 -2 * SIZE(BO), %xmm5

	mulpd	%xmm0, %xmm2
	mulpd	%xmm0, %xmm3
	mulpd	%xmm0, %xmm4
	mulpd	%xmm0, %xmm5

	ADD1	%xmm2, %xmm8
	ADD2	%xmm3, %xmm9
	ADD1	%xmm4, %xmm10
	ADD2	%xmm5, %xmm11

	movapd	-12 * SIZE(AO), %xmm0
	movapd	  0 * SIZE(BO), %xmm2
	movapd	  2 * SIZE(BO), %xmm3
	movapd	  4 * SIZE(BO), %xmm4
	movapd	  6 * SIZE(BO), %xmm5

	mulpd	%xmm0, %xmm2
	mulpd	%xmm0, %xmm3
	mulpd	%xmm0, %xmm4
	mulpd	%xmm0, %xmm5

	ADD1	%xmm2, %xmm8
	ADD2	%xmm3, %xmm9
	ADD1	%xmm4, %xmm10
	ADD2	%xmm5, %xmm11

	movapd	-10 * SIZE(AO), %xmm0
	movapd	  8 * SIZE(BO), %xmm2
	movapd	 10 * SIZE(BO), %xmm3
	movapd	 12 * SIZE(BO), %xmm4
	movapd	 14 * SIZE(BO), %xmm5

	mulpd	%xmm0, %xmm2
	mulpd	%xmm0, %xmm3
	mulpd	%xmm0, %xmm4
	mulpd	%xmm0, %xmm5

	ADD1	%xmm2, %xmm8
	ADD2	%xmm3, %xmm9
	ADD1	%xmm4, %xmm10
	ADD2	%xmm5, %xmm11

	subq	$ -8 * SIZE, AO
	subq	$-32 * SIZE, BO
	subq	$1, %rax
	jne    .L41

.L42:
#if defined(LT) || defined(RN)
	movq	KK, %rax
#else
	movq	K, %rax
	subq	KK, %rax
#endif
	movapd	POSINV,  %xmm7

	andq	$3, %rax		# if (k & 1)
	BRANCH
	jle .L44

.L43:
	movapd	-16 * SIZE(AO), %xmm0
	movapd	-16 * SIZE(BO), %xmm2
	movapd	-14 * SIZE(BO), %xmm3
	movapd	-12 * SIZE(BO), %xmm4
	movapd	-10 * SIZE(BO), %xmm5

	mulpd	%xmm0, %xmm2
	mulpd	%xmm0, %xmm3
	mulpd	%xmm0, %xmm4
	mulpd	%xmm0, %xmm5

	ADD1	%xmm2, %xmm8
	ADD2	%xmm3, %xmm9
	ADD1	%xmm4, %xmm10
	ADD2	%xmm5, %xmm11

	addq	$2 * SIZE, AO
	addq	$8 * SIZE, BO
	subq	$1, %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	16 * SIZE + BUFFER, BO

	salq	$ZBASE_SHIFT, %rax
	leaq	(AO, %rax, 1), AO
	leaq	(B,  %rax, 2), B
	leaq	(BO, %rax, 4), BO
#endif

	SHUFPD_1 %xmm9, %xmm9
	SHUFPD_1 %xmm11, %xmm11

#if defined(NN) || defined(NT) || defined(TN) || defined(TT) || \
    defined(NR) || defined(NC) || defined(TR) || defined(TC)
	xorpd	%xmm7, %xmm9
	xorpd	%xmm7, %xmm11
#else
	xorpd	%xmm7, %xmm8
	xorpd	%xmm7, %xmm10
#endif

#if defined(NN) || defined(NT) || defined(TN) || defined(TT) || \
    defined(RR) || defined(RC) || defined(CR) || defined(CC)
	subpd	%xmm9, %xmm8
	subpd	%xmm11, %xmm10
#else
	addpd	%xmm9, %xmm8
	addpd	%xmm11, %xmm10
#endif

#if defined(LN) || defined(LT)
	movapd	-16 * SIZE(B), %xmm9
	movapd	-14 * SIZE(B), %xmm11

	subpd	%xmm8,  %xmm9
	subpd	%xmm10,  %xmm11
#else
	movapd	-16 * SIZE(AO), %xmm9
	movapd	-14 * SIZE(AO), %xmm11

	subpd	%xmm8,  %xmm9
	subpd	%xmm10,  %xmm11
#endif

#ifndef CONJ
	SHUFPD_1 %xmm7, %xmm7
#endif

#if defined(LN) || defined(LT)
	movddup	-16 * SIZE(AO), %xmm0
	movddup	-15 * SIZE(AO), %xmm1

	pshufd	$0x4e, %xmm9, %xmm8
	pshufd	$0x4e, %xmm11, %xmm10

	xorpd	 %xmm7, %xmm8
	xorpd	 %xmm7, %xmm10

	mulpd	 %xmm0, %xmm9
	mulpd	 %xmm1, %xmm8
	mulpd	 %xmm0, %xmm11
	mulpd	 %xmm1, %xmm10

	addpd	 %xmm8, %xmm9
	addpd	 %xmm10, %xmm11
#endif

#ifdef RN
	movddup	-16 * SIZE(B), %xmm0
	movddup	-15 * SIZE(B), %xmm1
	movddup	-14 * SIZE(B), %xmm2
	movddup	-13 * SIZE(B), %xmm3
	movddup	-10 * SIZE(B), %xmm4
	movddup	 -9 * SIZE(B), %xmm5

	pshufd	$0x4e, %xmm9, %xmm8

	xorpd	 %xmm7, %xmm8

	mulpd	 %xmm0, %xmm9
	mulpd	 %xmm1, %xmm8

	addpd	 %xmm8, %xmm9

	movapd	 %xmm9, %xmm8
	pshufd	 $0x4e, %xmm9, %xmm12

	xorpd	 %xmm7, %xmm12

	mulpd	 %xmm2, %xmm8
	mulpd	 %xmm3, %xmm12

	subpd	 %xmm8, %xmm11
	subpd	 %xmm12, %xmm11

	pshufd	$0x4e, %xmm11, %xmm10

	xorpd	 %xmm7, %xmm10

	mulpd	 %xmm4, %xmm11
	mulpd	 %xmm5, %xmm10

	addpd	 %xmm10, %xmm11
#endif

#ifdef RT
	movddup	-10 * SIZE(B), %xmm0
	movddup	 -9 * SIZE(B), %xmm1
	movddup	-12 * SIZE(B), %xmm2
	movddup	-11 * SIZE(B), %xmm3
	movddup	-16 * SIZE(B), %xmm4
	movddup	-15 * SIZE(B), %xmm5

	pshufd	$0x4e, %xmm11, %xmm10

	xorpd	 %xmm7, %xmm10

	mulpd	 %xmm0, %xmm11
	mulpd	 %xmm1, %xmm10

	addpd	 %xmm10, %xmm11

	movapd	 %xmm11, %xmm8
	pshufd	 $0x4e, %xmm11, %xmm12

	xorpd	 %xmm7, %xmm12

	mulpd	 %xmm2, %xmm8
	mulpd	 %xmm3, %xmm12

	subpd	 %xmm8, %xmm9
	subpd	 %xmm12, %xmm9

	pshufd	$0x4e, %xmm9, %xmm8

	xorpd	 %xmm7, %xmm8

	mulpd	 %xmm4, %xmm9
	mulpd	 %xmm5, %xmm8

	addpd	 %xmm8, %xmm9
#endif

#ifdef LN
	subq	$2 * SIZE, CO1
	subq	$2 * SIZE, CO2
#endif

	movsd	%xmm9,   0 * SIZE(CO1)
	movhpd	%xmm9,   1 * SIZE(CO1)

	movsd	%xmm11,  0 * SIZE(CO2)
	movhpd	%xmm11,  1 * SIZE(CO2)

#if defined(LN) || defined(LT)
	movapd	%xmm9,  -16 * SIZE(B)
	movapd	%xmm11, -14 * SIZE(B)

	movddup	%xmm9,  %xmm8
	unpckhpd %xmm9,  %xmm9
	movddup	%xmm11, %xmm10
	unpckhpd %xmm11, %xmm11

	movapd	%xmm8,  -16 * SIZE(BO)
	movapd	%xmm9,  -14 * SIZE(BO)
	movapd	%xmm10, -12 * SIZE(BO)
	movapd	%xmm11, -10 * SIZE(BO)
#else
	movapd	%xmm9,  -16 * SIZE(AO)
	movapd	%xmm11, -14 * SIZE(AO)

#endif

#ifndef LN
	addq	$2 * SIZE, CO1
	addq	$2 * SIZE, CO2
#endif

#if defined(LT) || defined(RN)
	movq	K,  %rax
	subq	KK, %rax
	salq	$ZBASE_SHIFT, %rax
	leaq	(AO, %rax, 1), AO
#ifdef LT
	addq	$4 * SIZE, B
#endif
#endif

#ifdef LN
	subq	$1, KK
	movq	BORIG, B
#endif

#ifdef LT
	addq	$1, KK
#endif

#ifdef RT
	movq	K, %rax
	movq	BORIG, B
	salq	$0 + ZBASE_SHIFT, %rax
	addq	%rax, AORIG
#endif
	ALIGN_4

.L30:
	movq	M,  I
	sarq	$1, I		# i = (m >> 2)
	jle	.L99
	ALIGN_4

.L10:
#ifdef LN
       movq	K, %rax
       salq	$1 + 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, 2), AO
#endif

	leaq	16 * SIZE + BUFFER, BO

#if defined(LN) || defined(RT)
	movq	KK, %rax
	salq	$1 + ZBASE_SHIFT, %rax
	leaq	(BO, %rax, 2), BO
#endif	

#ifdef LN
	pxor	%xmm8, %xmm8
	prefetcht1    -3 * SIZE(CO1)
	pxor	%xmm9, %xmm9
	pxor	%xmm10, %xmm10
	prefetcht1    -3 * SIZE(CO2)
	pxor	%xmm11, %xmm11
#else
	pxor	%xmm8, %xmm8
	prefetcht1     3 * SIZE(CO1)
	pxor	%xmm9, %xmm9
	pxor	%xmm10, %xmm10