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/**************************************************************************************************
* *
* This file is part of BLASFEO. *
* *
* BLASFEO -- BLAS For Embedded Optimization. *
* Copyright (C) 2016-2017 by Gianluca Frison. *
* Developed at IMTEK (University of Freiburg) under the supervision of Moritz Diehl. *
* All rights reserved. *
* *
* HPMPC is free software; you can redistribute it and/or *
* modify it under the terms of the GNU Lesser General Public *
* License as published by the Free Software Foundation; either *
* version 2.1 of the License, or (at your option) any later version. *
* *
* HPMPC is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
* See the GNU Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public *
* License along with HPMPC; if not, write to the Free Software *
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA *
* *
* Author: Gianluca Frison, giaf (at) dtu.dk *
* gianluca.frison (at) imtek.uni-freiburg.de *
* *
**************************************************************************************************/
#if defined(OS_LINUX) | defined(OS_MAC)
//#define STACKSIZE 96
#define STACKSIZE 64
#define ARG1 %rdi
#define ARG2 %rsi
#define ARG3 %rdx
#define ARG4 %rcx
#define ARG5 %r8
#define ARG6 %r9
#define ARG7 STACKSIZE + 8(%rsp)
#define ARG8 STACKSIZE + 16(%rsp)
#define ARG9 STACKSIZE + 24(%rsp)
#define ARG10 STACKSIZE + 32(%rsp)
#define ARG11 STACKSIZE + 40(%rsp)
#define ARG12 STACKSIZE + 48(%rsp)
#define ARG13 STACKSIZE + 56(%rsp)
#define ARG14 STACKSIZE + 64(%rsp)
#define ARG15 STACKSIZE + 72(%rsp)
#define ARG16 STACKSIZE + 80(%rsp)
#define ARG17 STACKSIZE + 88(%rsp)
#define ARG18 STACKSIZE + 96(%rsp)
#define PROLOGUE \
subq $STACKSIZE, %rsp; \
movq %rbx, (%rsp); \
movq %rbp, 8(%rsp); \
movq %r12, 16(%rsp); \
movq %r13, 24(%rsp); \
movq %r14, 32(%rsp); \
movq %r15, 40(%rsp); \
vzeroupper;
#define EPILOGUE \
vzeroupper; \
movq (%rsp), %rbx; \
movq 8(%rsp), %rbp; \
movq 16(%rsp), %r12; \
movq 24(%rsp), %r13; \
movq 32(%rsp), %r14; \
movq 40(%rsp), %r15; \
addq $STACKSIZE, %rsp;
#elif defined(OS_WINDOWS)
#define STACKSIZE 256
#define ARG1 %rcx
#define ARG2 %rdx
#define ARG3 %r8
#define ARG4 %r9
#define ARG5 STACKSIZE + 40(%rsp)
#define ARG6 STACKSIZE + 48(%rsp)
#define ARG7 STACKSIZE + 56(%rsp)
#define ARG8 STACKSIZE + 64(%rsp)
#define ARG9 STACKSIZE + 72(%rsp)
#define ARG10 STACKSIZE + 80(%rsp)
#define ARG11 STACKSIZE + 88(%rsp)
#define ARG12 STACKSIZE + 96(%rsp)
#define ARG13 STACKSIZE + 104(%rsp)
#define ARG14 STACKSIZE + 112(%rsp)
#define ARG15 STACKSIZE + 120(%rsp)
#define ARG16 STACKSIZE + 128(%rsp)
#define ARG17 STACKSIZE + 136(%rsp)
#define ARG18 STACKSIZE + 144(%rsp)
#define PROLOGUE \
subq $STACKSIZE, %rsp; \
movq %rbx, (%rsp); \
movq %rbp, 8(%rsp); \
movq %r12, 16(%rsp); \
movq %r13, 24(%rsp); \
movq %r14, 32(%rsp); \
movq %r15, 40(%rsp); \
movq %rdi, 48(%rsp); \
movq %rsi, 56(%rsp); \
vmovups %xmm6, 64(%rsp); \
vmovups %xmm7, 80(%rsp); \
vmovups %xmm8, 96(%rsp); \
vmovups %xmm9, 112(%rsp); \
vmovups %xmm10, 128(%rsp); \
vmovups %xmm11, 144(%rsp); \
vmovups %xmm12, 160(%rsp); \
vmovups %xmm13, 176(%rsp); \
vmovups %xmm14, 192(%rsp); \
vmovups %xmm15, 208(%rsp); \
vzeroupper;
#define EPILOGUE \
vzeroupper; \
movq (%rsp), %rbx; \
movq 8(%rsp), %rbp; \
movq 16(%rsp), %r12; \
movq 24(%rsp), %r13; \
movq 32(%rsp), %r14; \
movq 40(%rsp), %r15; \
movq 48(%rsp), %rdi; \
movq 56(%rsp), %rsi; \
vmovups 64(%rsp), %xmm6; \
vmovups 80(%rsp), %xmm7; \
vmovups 96(%rsp), %xmm8; \
vmovups 112(%rsp), %xmm9; \
vmovups 128(%rsp), %xmm10; \
vmovups 144(%rsp), %xmm11; \
vmovups 160(%rsp), %xmm12; \
vmovups 176(%rsp), %xmm13; \
vmovups 192(%rsp), %xmm14; \
vmovups 208(%rsp), %xmm15; \
addq $STACKSIZE, %rsp;
#else
#error wrong OS
#endif
#if defined(OS_LINUX) | defined(OS_WINDOWS)
.text
#elif defined(OS_MAC)
.section __TEXT,__text,regular,pure_instructions
#endif
// common inner routine with file scope
//
// input arguments:
// r10d <- k
// r11 <- A
// r12 <- 4*sda*sizeof(double)
// r13 <- x
// r15 <- dirty
// ymm0 <- [z0 z1 z2 z3]_a
// ymm1 <- [z4 z5 z6 z7]_a
// ymm2 <- [z0 z1 z2 z3]_b
// ymm3 <- [z4 z5 z6 z7]_b
// ymm4 <- [z0 z1 z2 z3]_c
// ymm5 <- [z4 z5 z6 z7]_c
// ymm6 <- [z0 z1 z2 z3]_d
// ymm7 <- [z4 z5 z6 z7]_d
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm12 <- dirty
// ymm13 <- dirty
// ymm14 <- dirty
// ymm15 <- dirty
//
// output arguments:
// r10d <- 0
// r11 <- A+4*k*sizeof(double)
// r12 <- 4*sda*sizeof(double)
// r13 <- x+k*sizeof(double)
// r15 <- dirty
// ymm0 <- [z0 z1 z2 z3]_a
// ymm1 <- [z4 z5 z6 z7]_a
// ymm2 <- [z0 z1 z2 z3]_b
// ymm3 <- [z4 z5 z6 z7]_b
// ymm4 <- [z0 z1 z2 z3]_c
// ymm5 <- [z4 z5 z6 z7]_c
// ymm6 <- [z0 z1 z2 z3]_d
// ymm7 <- [z4 z5 z6 z7]_d
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm12 <- dirty
// ymm13 <- dirty
// ymm14 <- dirty
// ymm15 <- dirty
#if MACRO_LEVEL>=2
.macro INNER_KERNEL_DGEMV_ADD_N_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_kernel_dgemv_add_n_8_lib4, @function
inner_kernel_dgemv_add_n_8_lib4:
#elif defined(OS_MAC)
_inner_kernel_dgemv_add_n_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_kernel_dgemv_add_n_8_lib4; .scl 2; .type 32; .endef
inner_kernel_dgemv_add_n_8_lib4:
#endif
#endif
cmpl $0, %r10d
jle 2f // return
movq %r11, %r15 // A1 <- A0
addq %r12, %r15 // A1 <- A0 + 4*sda*sizeof(double)
cmpl $4, %r10d
jl 0f // clean-up loop
// main loop
.p2align 3
1: // main loop
vbroadcastsd 0(%r13), %ymm12
vmovapd 0(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm0
vmovapd 0(%r15), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm1
subl $4, %r10d
vbroadcastsd 8(%r13), %ymm12
vmovapd 32(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm2
vmovapd 32(%r15), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm3
vbroadcastsd 16(%r13), %ymm12
vmovapd 64(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm4
vmovapd 64(%r15), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm5
vbroadcastsd 24(%r13), %ymm12
addq $32, %r13
vmovapd 96(%r11), %ymm8
addq $128, %r11
vfmadd231pd %ymm8, %ymm12, %ymm6
vmovapd 96(%r15), %ymm8
addq $128, %r15
vfmadd231pd %ymm8, %ymm12, %ymm7
cmpl $3, %r10d
jg 1b // main loop
// consider clean-up
cmpl $0, %r10d
jle 2f // return
0: // clean-up
vbroadcastsd 0(%r13), %ymm12
vmovapd 0(%r11), %ymm8
vmulpd %ymm8, %ymm12, %ymm15
vaddpd %ymm0, %ymm15, %ymm0
vmovapd 0(%r15), %ymm8
vmulpd %ymm8, %ymm12, %ymm15
vaddpd %ymm1, %ymm15, %ymm1
addq $32, %r11
addq $32, %r15
addq $8, %r13
subl $1, %r10d
cmpl $0, %r10d
jg 0b // clean
2: // return
#if MACRO_LEVEL>=2
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_kernel_dgemv_add_n_8_lib4, .-inner_kernel_dgemv_add_n_8_lib4
#endif
#endif
// common inner routine with file scope
//
// input arguments:
// r10d <- k
// r11 <- A
// r12 <- bs*sda*sizeof(double) = 32*sda
// r13 <- x
// ymm0 <- [z0a z0b z0c z0d]
// ymm1 <- [z1a z1b z1c z1d]
// ymm2 <- [z2a z2b z2c z2d]
// ymm3 <- [z3a z3b z3c z3d]
// ymm4 <- [z4a z4b z4c z4d]
// ymm5 <- [z5a z5b z5c z5d]
// ymm6 <- [z6a z6b z6c z6d]
// ymm7 <- [z7a z7b z7c z7d]
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm12 <- dirty
// ymm13 <- dirty
// ymm14 <- dirty
// ymm15 <- dirty
//
// output arguments:
// r10d <- 0
// r11 <- A+4*k*sizeof(double)
// r12 <- bs*sda*sizeof(double) = 32*sda
// r13 <- x+k*sizeof(double)
// ymm0 <- [z0a z0b z0c z0d]
// ymm1 <- [z1a z1b z1c z1d]
// ymm2 <- [z2a z2b z2c z2d]
// ymm3 <- [z3a z3b z3c z3d]
// ymm4 <- [z4a z4b z4c z4d]
// ymm5 <- [z5a z5b z5c z5d]
// ymm6 <- [z6a z6b z6c z6d]
// ymm7 <- [z7a z7b z7c z7d]
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm12 <- dirty
// ymm13 <- dirty
// ymm14 <- dirty
// ymm15 <- dirty
#if MACRO_LEVEL>=2
.macro INNER_KERNEL_DGEMV_ADD_T_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_kernel_dgemv_add_t_8_lib4, @function
inner_kernel_dgemv_add_t_8_lib4:
#elif defined(OS_MAC)
_inner_kernel_dgemv_add_t_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_kernel_dgemv_add_t_8_lib4; .scl 2; .type 32; .endef
inner_kernel_dgemv_add_t_8_lib4:
#endif
#endif
cmpl $0, %r10d
jle 2f // return
cmpl $4, %r10d
jl 0f // clean-up loop
// main loop
.p2align 3
1: // main loop
vmovupd 0(%r13), %ymm12
vmovapd 0(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm0
subl $4, %r10d
vmovapd 32(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm1
vmovapd 64(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm2
vmovapd 96(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm3
vmovapd 128(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm4
vmovapd 160(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm5
vmovapd 192(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm6
vmovapd 224(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm7
addq %r12, %r11
addq $32, %r13
cmpl $3, %r10d
jg 1b // main loop
// consider clean-up
cmpl $0, %r10d
jle 2f // return
0: // clean-up
vcvtsi2sd %r10d, %xmm14, %xmm14
#if defined(OS_LINUX) | defined(OS_WINDOWS)
vmovupd .LC02(%rip), %ymm13
#elif defined(OS_MAC)
vmovupd LC02(%rip), %ymm13
#endif
vmovddup %xmm14, %xmm14
vinsertf128 $1, %xmm14, %ymm14, %ymm14
vsubpd %ymm14, %ymm13, %ymm14
vmaskmovpd 0(%r13), %ymm14, %ymm12
vmovapd 0(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm0
vmovapd 32(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm1
vmovapd 64(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm2
vmovapd 96(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm3
vmovapd 128(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm4
vmovapd 160(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm5
vmovapd 192(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm6
vmovapd 224(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm7
sall $3, %r10d
// movslq %r10d, %r10
addq %r10, %r11
addq %r10, %r13
xorl %r10d, %r10d
2: // return
#if MACRO_LEVEL>=2
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_kernel_dgemv_add_t_8_lib4, .-inner_kernel_dgemv_add_t_8_lib4
#endif
#endif
// common inner routine with file scope
//
// input arguments:
// r10d <- k
// r11 <- A
// r12 <- 4*sda*sizeof(double)
// r13 <- x
// r15 <- dirty
// ymm0 <- [z0 z1 z2 z3]_a
// ymm1 <- [z4 z5 z6 z7]_a
// ymm2 <- [z0 z1 z2 z3]_b
// ymm3 <- [z4 z5 z6 z7]_b
// ymm4 <- [z0 z1 z2 z3]_c
// ymm5 <- [z4 z5 z6 z7]_c
// ymm6 <- [z0 z1 z2 z3]_d
// ymm7 <- [z4 z5 z6 z7]_d
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm12 <- dirty
// ymm13 <- dirty
// ymm14 <- dirty
// ymm15 <- dirty
//
// output arguments:
// r10d <- k-4
// r11 <- A+4*4*sizeof(double)
// r12 <- 4*sda*sizeof(double)
// r13 <- x+4*sizeof(double)
// r15 <- dirty
// ymm0 <- [z0 z1 z2 z3]_a
// ymm1 <- [z4 z5 z6 z7]_a
// ymm2 <- [z0 z1 z2 z3]_b
// ymm3 <- [z4 z5 z6 z7]_b
// ymm4 <- [z0 z1 z2 z3]_c
// ymm5 <- [z4 z5 z6 z7]_c
// ymm6 <- [z0 z1 z2 z3]_d
// ymm7 <- [z4 z5 z6 z7]_d
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm12 <- dirty
// ymm13 <- dirty
// ymm14 <- dirty
// ymm15 <- dirty
#if MACRO_LEVEL>=1
.macro INNER_EDGE_DTRMV_UN_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_edge_dtrmv_un_8_lib4, @function
inner_edge_dtrmv_un_8_lib4:
#elif defined(OS_MAC)
_inner_edge_dtrmv_un_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_edge_dtrmv_un_8_lib4; .scl 2; .type 32; .endef
inner_edge_dtrmv_un_8_lib4:
#endif
#endif
movq %r11, %r15 // A1 <- A0
addq %r12, %r15 // A1 <- A0 + 4*sda*sizeof(double)
vxorpd %ymm14, %ymm14, %ymm14
// first 4 columns
vmovapd 0(%r11), %ymm8
vblendpd $0x1, %ymm8, %ymm14, %ymm8
vbroadcastsd 0(%r13), %ymm12
vfmadd231pd %ymm8, %ymm12, %ymm0
subl $4, %r10d
vmovapd 32(%r11), %ymm8
vblendpd $0x3, %ymm8, %ymm14, %ymm8
vbroadcastsd 8(%r13), %ymm12
vfmadd231pd %ymm8, %ymm12, %ymm2
vmovapd 64(%r11), %ymm8
vblendpd $0x7, %ymm8, %ymm14, %ymm8
vbroadcastsd 16(%r13), %ymm12
vfmadd231pd %ymm8, %ymm12, %ymm4
vmovapd 96(%r11), %ymm8
vbroadcastsd 24(%r13), %ymm12
vfmadd231pd %ymm8, %ymm12, %ymm6
addq $128, %r11
addq $128, %r15
addq $32, %r13
// last 4 columns
vbroadcastsd 0(%r13), %ymm12
vmovapd 0(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm0
vmovapd 0(%r15), %ymm8
vblendpd $0x1, %ymm8, %ymm14, %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm1
subl $4, %r10d
vbroadcastsd 8(%r13), %ymm12
vmovapd 32(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm2
vmovapd 32(%r15), %ymm8
vblendpd $0x3, %ymm8, %ymm14, %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm3
vbroadcastsd 16(%r13), %ymm12
vmovapd 64(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm4
vmovapd 64(%r15), %ymm8
vblendpd $0x7, %ymm8, %ymm14, %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm5
vbroadcastsd 24(%r13), %ymm12
vmovapd 96(%r11), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm6
vmovapd 96(%r15), %ymm8
vfmadd231pd %ymm8, %ymm12, %ymm7
addq $128, %r11
addq $128, %r15
addq $32, %r13
#if MACRO_LEVEL>=1
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_edge_dtrmv_un_8_lib4, .-inner_edge_dtrmv_un_8_lib4
#endif
#endif
// common inner routine with file scope
//
// blend for ta==n
//
// input arguments:
// ymm0 <- [z0 z1 z2 z3]_a
// ymm1 <- [z4 z5 z6 z7]_a
// ymm2 <- [z0 z1 z2 z3]_b
// ymm3 <- [z4 z5 z6 z7]_b
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
//
// output arguments:
// ymm0 <- [z0 z1 z2 z3]
// ymm1 <- [z4 z5 z6 z7]
// ymm2 <- dirty
// ymm3 <- dirty
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
#if MACRO_LEVEL>=1
.macro INNER_BLEND_N_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_blend_n_8_lib4, @function
inner_blend_n_8_lib4:
#elif defined(OS_MAC)
_inner_blend_n_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_blend_n_8_lib4; .scl 2; .type 32; .endef
inner_blend_n_8_lib4:
#endif
#endif
// reduction
vaddpd %ymm0, %ymm2, %ymm0
vaddpd %ymm1, %ymm3, %ymm1
#if MACRO_LEVEL>=1
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_blend_n_8_lib4, .-inner_blend_n_8_lib4
#endif
#endif
// common inner routine with file scope
//
// blend for ta==t
//
// input arguments:
// ymm0 <- [z0a z0b z0c z0d]
// ymm1 <- [z1a z1b z1c z1d]
// ymm2 <- [z2a z2b z2c z2d]
// ymm3 <- [z3a z3b z3c z3d]
// ymm4 <- [z4a z4b z4c z4d]
// ymm5 <- [z5a z5b z5c z5d]
// ymm6 <- [z6a z6b z6c z6d]
// ymm7 <- [z7a z7b z7c z7d]
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
//
// output arguments:
// ymm0 <- [z0 z1 z2 z3]
// ymm1 <- [z4 z5 z6 z7]
// ymm2 <- dirty
// ymm3 <- dirty
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
#if MACRO_LEVEL>=1
.macro INNER_BLEND_T_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_blend_t_8_lib4, @function
inner_blend_t_8_lib4:
#elif defined(OS_MAC)
_inner_blend_t_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_blend_t_8_lib4; .scl 2; .type 32; .endef
inner_blend_t_8_lib4:
#endif
#endif
// reduction
vhaddpd %ymm1, %ymm0, %ymm0
vhaddpd %ymm5, %ymm4, %ymm4
vhaddpd %ymm3, %ymm2, %ymm2
vhaddpd %ymm7, %ymm6, %ymm6
vperm2f128 $0x2, %ymm0, %ymm2, %ymm3
vperm2f128 $0x2, %ymm4, %ymm6, %ymm5
vperm2f128 $0x13, %ymm0, %ymm2, %ymm0
vperm2f128 $0x13, %ymm4, %ymm6, %ymm4
vaddpd %ymm0, %ymm3, %ymm0
vaddpd %ymm4, %ymm5, %ymm1
#if MACRO_LEVEL>=1
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_blend_t_8_lib4, .-inner_blend_t_8_lib4
#endif
#endif
// common inner routine with file scope
//
// blend for ta==n, scale for generic alpha and beta
//
// input arguments:
// r10 <- alpha
// r11 <- beta
// r12 <- y
// ymm0 <- [z0 z1 z2 z3]_a
// ymm1 <- [z4 z5 z6 z7]_a
// ymm2 <- [z0 z1 z2 z3]_b
// ymm3 <- [z4 z5 z6 z7]_b
// ymm4 <- [z0 z1 z2 z3]_c
// ymm5 <- [z4 z5 z6 z7]_c
// ymm6 <- [z0 z1 z2 z3]_d
// ymm7 <- [z4 z5 z6 z7]_d
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
//
// output arguments:
// r10 <- alpha
// r11 <- beta
// r12 <- y
// ymm0 <- [z0 z1 z2 z3]
// ymm1 <- [z4 z5 z6 z7]
// ymm2 <- dirty
// ymm3 <- dirty
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
#if MACRO_LEVEL>=1
.macro INNER_BLEND_N_SCALE_AB_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_blend_n_scale_ab_8_lib4, @function
inner_blend_n_scale_ab_8_lib4:
#elif defined(OS_MAC)
_inner_blend_n_scale_ab_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_blend_n_scale_ab_8_lib4; .scl 2; .type 32; .endef
inner_blend_n_scale_ab_8_lib4:
#endif
#endif
// reduction
vaddpd %ymm0, %ymm2, %ymm0
vaddpd %ymm1, %ymm3, %ymm1
vaddpd %ymm4, %ymm6, %ymm4
vaddpd %ymm5, %ymm7, %ymm5
vaddpd %ymm0, %ymm4, %ymm0
vaddpd %ymm1, %ymm5, %ymm1
// alpha
vbroadcastsd 0(%r10), %ymm15
vmulpd %ymm0, %ymm15, %ymm0
vmulpd %ymm1, %ymm15, %ymm1
// beta
vbroadcastsd 0(%r11), %ymm15
vmovupd 0(%r12), %ymm14
vfmadd231pd %ymm15, %ymm14, %ymm0
vmovupd 32(%r12), %ymm14
vfmadd231pd %ymm15, %ymm14, %ymm1
#if MACRO_LEVEL>=1
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_blend_n_scale_ab_8_lib4, .-inner_blend_n_scale_ab_8_lib4
#endif
#endif
// common inner routine with file scope
//
// blend for ta==t, scale for generic alpha and beta
//
// input arguments:
// r10 <- alpha
// r11 <- beta
// r12 <- y
// ymm0 <- [z0a z0b z0c z0d]
// ymm1 <- [z1a z1b z1c z1d]
// ymm2 <- [z2a z2b z2c z2d]
// ymm3 <- [z3a z3b z3c z3d]
// ymm4 <- [z4a z4b z4c z4d]
// ymm5 <- [z5a z5b z5c z5d]
// ymm6 <- [z6a z6b z6c z6d]
// ymm7 <- [z7a z7b z7c z7d]
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
//
// output arguments:
// r10 <- alpha
// r11 <- beta
// r12 <- y
// ymm0 <- [z0 z1 z2 z3]
// ymm1 <- [z4 z5 z6 z7]
// ymm2 <- dirty
// ymm3 <- dirty
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
#if MACRO_LEVEL>=1
.macro INNER_BLEND_T_SCALE_AB_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_blend_t_scale_ab_8_lib4, @function
inner_blend_t_scale_ab_8_lib4:
#elif defined(OS_MAC)
_inner_blend_t_scale_ab_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_blend_t_scale_ab_8_lib4; .scl 2; .type 32; .endef
inner_blend_t_scale_ab_8_lib4:
#endif
#endif
// reduction
vhaddpd %ymm1, %ymm0, %ymm0
vhaddpd %ymm5, %ymm4, %ymm4
vhaddpd %ymm3, %ymm2, %ymm2
vhaddpd %ymm7, %ymm6, %ymm6
vperm2f128 $0x2, %ymm0, %ymm2, %ymm3
vperm2f128 $0x2, %ymm4, %ymm6, %ymm5
vperm2f128 $0x13, %ymm0, %ymm2, %ymm0
vperm2f128 $0x13, %ymm4, %ymm6, %ymm4
vaddpd %ymm0, %ymm3, %ymm0
vaddpd %ymm4, %ymm5, %ymm1
// alpha
vbroadcastsd 0(%r10), %ymm15
vmulpd %ymm0, %ymm15, %ymm0
vmulpd %ymm1, %ymm15, %ymm1
// beta
vbroadcastsd 0(%r11), %ymm15
vmovupd 0(%r12), %ymm14
vfmadd231pd %ymm15, %ymm14, %ymm0
vmovupd 32(%r12), %ymm14
vfmadd231pd %ymm15, %ymm14, %ymm1
#if MACRO_LEVEL>=1
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_blend_t_scale_ab_8_lib4, .-inner_blend_t_scale_ab_8_lib4
#endif
#endif
// common inner routine with file scope
//
// blender for ta==n
//
// input arguments:
// r10d <- alg
// r11 <- y
// ymm0 <- [z0 z1 z2 z3]_a
// ymm1 <- [z4 z5 z6 z7]_a
// ymm2 <- [z0 z1 z2 z3]_b
// ymm3 <- [z4 z5 z6 z7]_b
// ymm4 <- [z0 z1 z2 z3]_c
// ymm5 <- [z4 z5 z6 z7]_c
// ymm6 <- [z0 z1 z2 z3]_d
// ymm7 <- [z4 z5 z6 z7]_d
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
//
// output arguments:
// r10d <- alg
// r11 <- y
// ymm0 <- [z0 z1 z2 z3]
// ymm1 <- [z4 z5 z6 z7]
// ymm2 <- dirty
// ymm3 <- dirty
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
#if MACRO_LEVEL>=1
.macro INNER_BLENDER_N_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_blender_n_8_lib4, @function
inner_blender_n_8_lib4:
#elif defined(OS_MAC)
_inner_blender_n_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_blender_n_8_lib4; .scl 2; .type 32; .endef
inner_blender_n_8_lib4:
#endif
#endif
// reduction
vaddpd %ymm0, %ymm2, %ymm0
vaddpd %ymm1, %ymm3, %ymm1
vaddpd %ymm4, %ymm6, %ymm4
vaddpd %ymm5, %ymm7, %ymm5
vaddpd %ymm0, %ymm4, %ymm0
vaddpd %ymm1, %ymm5, %ymm1
cmpl $0, %r10d // alg
je 0f // return
cmpl $1, %r10d // alg
jne 1f // alg==-1
// alg==1
vmovupd 0(%r11), %ymm15
vaddpd %ymm0, %ymm15, %ymm0
vmovupd 32(%r11), %ymm15
vaddpd %ymm1, %ymm15, %ymm1
jmp 0f // return
1:
// alg==-1
vmovupd 0(%r11), %ymm15
vsubpd %ymm0, %ymm15, %ymm0
vmovupd 32(%r11), %ymm15
vsubpd %ymm1, %ymm15, %ymm1
0: // return
#if MACRO_LEVEL>=1
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_blender_n_8_lib4, .-inner_blender_n_8_lib4
#endif
#endif
// common inner routine with file scope
//
// blender for ta==t
//
// input arguments:
// r10d <- alg
// r11 <- y
// ymm0 <- [z0a z0b z0c z0d]
// ymm1 <- [z1a z1b z1c z1d]
// ymm2 <- [z2a z2b z2c z2d]
// ymm3 <- [z3a z3b z3c z3d]
// ymm0 <- [z4a z4b z4c z4d]
// ymm1 <- [z5a z5b z5c z5d]
// ymm2 <- [z6a z6b z6c z6d]
// ymm3 <- [z7a z7b z7c z7d]
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
//
// output arguments:
// r10d <- alg
// r11 <- y
// ymm0 <- [z0 z1 z2 z3]
// ymm1 <- [z4 z5 z6 z7]
// ymm1 <- dirty
// ymm2 <- dirty
// ymm3 <- dirty
// ymm8 <- dirty
// ymm9 <- dirty
// ymm10 <- dirty
// ymm11 <- dirty
// ymm15 <- dirty
#if MACRO_LEVEL>=1
.macro INNER_BLENDER_T_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_blender_t_8_lib4, @function
inner_blender_t_8_lib4:
#elif defined(OS_MAC)
_inner_blender_t_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_blender_t_8_lib4; .scl 2; .type 32; .endef
inner_blender_t_8_lib4:
#endif
#endif
// reduction
vhaddpd %ymm1, %ymm0, %ymm0
vhaddpd %ymm5, %ymm4, %ymm4
vhaddpd %ymm3, %ymm2, %ymm2
vhaddpd %ymm7, %ymm6, %ymm6
vperm2f128 $0x2, %ymm0, %ymm2, %ymm3
vperm2f128 $0x2, %ymm4, %ymm6, %ymm5
vperm2f128 $0x13, %ymm0, %ymm2, %ymm0
vperm2f128 $0x13, %ymm4, %ymm6, %ymm4
vaddpd %ymm0, %ymm3, %ymm0
vaddpd %ymm4, %ymm5, %ymm1
cmpl $0, %r10d // alg
je 0f // return
cmpl $1, %r10d // alg
jne 1f // alg==-1
// alg==1
vmovupd 0(%r11), %ymm15
vaddpd %ymm0, %ymm15, %ymm0
vmovupd 32(%r11), %ymm15
vaddpd %ymm1, %ymm15, %ymm1
jmp 0f // return
1:
// alg==-1
vmovupd 0(%r11), %ymm15
vsubpd %ymm0, %ymm15, %ymm0
vmovupd 32(%r11), %ymm15
vsubpd %ymm1, %ymm15, %ymm1
0: // return
#if MACRO_LEVEL>=1
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_blender_t_8_lib4, .-inner_blender_t_8_lib4
#endif
#endif
// common inner routine with file scope
//
// store
//
// input arguments:
// r10 <- z
// ymm0 <- [z0 z1 z2 z3]
// ymm1 <- [z4 z5 z6 z7]
//
// output arguments:
// r10 <- z
// ymm0 <- [z0 z1 z2 z3]
// ymm1 <- [z4 z5 z6 z7]
#if MACRO_LEVEL>=1
.macro INNER_STORE_8_LIB4
#else
.p2align 4,,15
#if defined(OS_LINUX)
.type inner_store_8_lib4, @function
inner_store_8_lib4:
#elif defined(OS_MAC)
_inner_store_8_lib4:
#elif defined(OS_WINDOWS)
.def inner_store_8_lib4; .scl 2; .type 32; .endef
inner_store_8_lib4:
#endif
#endif
vmovupd %ymm0, 0(%r10)
vmovupd %ymm1, 32(%r10)
#if MACRO_LEVEL>=1
.endm
#else
ret
#if defined(OS_LINUX)
.size inner_store_8_lib4, .-inner_store_8_lib4
#endif
#endif
// rdi rsi rdx rcx r8 r9 rsp+8 rsp+16
// void kernel_dgemv_n_8_lib4(int k, double *alpha, double *A, int sda, double *x, double *beta, double *y, double *z);
.p2align 4,,15
#if defined(OS_LINUX)
.globl kernel_dgemv_n_8_lib4
.type kernel_dgemv_n_8_lib4, @function
kernel_dgemv_n_8_lib4:
#elif defined(OS_MAC)
.globl _kernel_dgemv_n_8_lib4
_kernel_dgemv_n_8_lib4:
#elif defined(OS_WINDOWS)
.globl kernel_dgemv_n_8_lib4
.def kernel_dgemv_n_8_lib4; .scl 2; .type 32; .endef
kernel_dgemv_n_8_lib4:
#endif
PROLOGUE
// zero accumulation registers
vxorpd %ymm0, %ymm0, %ymm0
vmovapd %ymm0, %ymm1
vmovapd %ymm0, %ymm2
vmovapd %ymm0, %ymm3
vmovapd %ymm0, %ymm4
vmovapd %ymm0, %ymm5
vmovapd %ymm0, %ymm6
vmovapd %ymm0, %ymm7
// call inner dgemv kernel n
movq ARG1, %r10 // k
movq ARG3, %r11 // A
movq ARG4, %r12 // sda
sall $5, %r12d // 4*sda*sizeof(double)
// movslq %r12d, %r12
movq ARG5, %r13 // x
#if MACRO_LEVEL>=2
INNER_KERNEL_DGEMV_ADD_N_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_kernel_dgemv_add_n_8_lib4
#elif defined(OS_MAC)
callq _inner_kernel_dgemv_add_n_8_lib4
#endif
#endif
// call inner blend n scale ab
movq ARG2, %r10 // alpha
movq ARG6, %r11 // beta
movq ARG7, %r12 // y
#if MACRO_LEVEL>=1
INNER_BLEND_N_SCALE_AB_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_blend_n_scale_ab_8_lib4
#elif defined(OS_MAC)
callq _inner_blend_n_scale_ab_8_lib4
#endif
#endif
// store
movq ARG8, %r10 // z
#if MACRO_LEVEL>=1
INNER_STORE_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_store_8_lib4
#elif defined(OS_MAC)
callq _inner_store_8_lib4
#endif
#endif
EPILOGUE
ret
#if defined(OS_LINUX)
.size kernel_dgemv_n_8_lib4, .-kernel_dgemv_n_8_lib4
#endif
// rdi rsi rdx rcx r8 r9 rsp+8 rsp+16
// void kernel_dgemv_t_8_lib4(int k, double *alpha, double *A, int sda, double *x, double *beta, double *y, double *z);
.p2align 4,,15
#if defined(OS_LINUX)
.globl kernel_dgemv_t_8_lib4
.type kernel_dgemv_t_8_lib4, @function
kernel_dgemv_t_8_lib4:
#elif defined(OS_MAC)
.globl _kernel_dgemv_t_8_lib4
_kernel_dgemv_t_8_lib4:
#elif defined(OS_WINDOWS)
.globl kernel_dgemv_t_8_lib4
.def kernel_dgemv_t_8_lib4; .scl 2; .type 32; .endef
kernel_dgemv_t_8_lib4:
#endif
PROLOGUE
// zero accumulation registers
vxorpd %ymm0, %ymm0, %ymm0
vmovapd %ymm0, %ymm1
vmovapd %ymm0, %ymm2
vmovapd %ymm0, %ymm3
vmovapd %ymm0, %ymm4
vmovapd %ymm0, %ymm5
vmovapd %ymm0, %ymm6
vmovapd %ymm0, %ymm7
// call inner dgemv kernel n
movq ARG1, %r10 // k
movq ARG3, %r11 // A
movq ARG4, %r12 // sda
sall $5, %r12d // 4*sda*sizeof(double)
// movslq %r12d, %r12
movq ARG5, %r13 // x
#if MACRO_LEVEL>=2
INNER_KERNEL_DGEMV_ADD_T_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_kernel_dgemv_add_t_8_lib4
#elif defined(OS_MAC)
callq _inner_kernel_dgemv_add_t_8_lib4
#endif
#endif
// call inner blender t
movq ARG2, %r10 // alpha
movq ARG6, %r11 // beta
movq ARG7, %r12 // y
#if MACRO_LEVEL>=1
INNER_BLEND_T_SCALE_AB_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_blend_t_scale_ab_8_lib4
#elif defined(OS_MAC)
callq _inner_blend_t_scale_ab_8_lib4
#endif
#endif
// store
movq ARG8, %r10 // z
#if MACRO_LEVEL>=1
INNER_STORE_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_store_8_lib4
#elif defined(OS_MAC)
callq _inner_store_8_lib4
#endif
#endif
EPILOGUE
ret
#if defined(OS_LINUX)
.size kernel_dgemv_t_8_lib4, .-kernel_dgemv_t_8_lib4
#endif
// rdi rsi rdx rcx r8
// void kernel_dtrmv_un_8_lib4(int k, double *A, int sda, double *x, double *z);
.p2align 4,,15
#if defined(OS_LINUX)
.globl kernel_dtrmv_un_8_lib4
.type kernel_dtrmv_un_8_lib4, @function
kernel_dtrmv_un_8_lib4:
#elif defined(OS_MAC)
.globl _kernel_dtrmv_un_8_lib4
_kernel_dtrmv_un_8_lib4:
#elif defined(OS_WINDOWS)
.globl kernel_dtrmv_un_8_lib4
.def kernel_dtrmv_un_8_lib4; .scl 2; .type 32; .endef
kernel_dtrmv_un_8_lib4:
#endif
PROLOGUE
// zero accumulation registers
vxorpd %ymm0, %ymm0, %ymm0
vmovapd %ymm0, %ymm1
vmovapd %ymm0, %ymm2
vmovapd %ymm0, %ymm3
vmovapd %ymm0, %ymm4
vmovapd %ymm0, %ymm5
vmovapd %ymm0, %ymm6
vmovapd %ymm0, %ymm7
// call inner dtrmv edge & dgemv kernel n
movq ARG1, %r10 // k
movq ARG2, %r11 // A
movq ARG3, %r12
sall $5, %r12d // 4*sda*sizeof(double)
// movslq %r12d, %r12
movq ARG4, %r13 // x
#if MACRO_LEVEL>=1
INNER_EDGE_DTRMV_UN_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_edge_dtrmv_un_8_lib4
#elif defined(OS_MAC)
callq _inner_edge_dtrmv_un_8_lib4
#endif
#endif
#if MACRO_LEVEL>=2
INNER_KERNEL_DGEMV_ADD_N_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_kernel_dgemv_add_n_8_lib4
#elif defined(OS_MAC)
callq _inner_kernel_dgemv_add_n_8_lib4
#endif
#endif
// call inner blender n
#if MACRO_LEVEL>=1
INNER_BLENDER_N_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_blend_n_8_lib4
#elif defined(OS_MAC)
callq _inner_blend_n_8_lib4
#endif
#endif
// store
movq ARG5, %r10 // z
#if MACRO_LEVEL>=1
INNER_STORE_8_LIB4
#else
#if defined(OS_LINUX) | defined(OS_WINDOWS)
call inner_store_8_lib4
#elif defined(OS_MAC)
callq _inner_store_8_lib4
#endif
#endif
EPILOGUE
ret
#if defined(OS_LINUX)
.size kernel_dtrmv_un_8_lib4, .-kernel_dtrmv_un_8_lib4
#endif
// read-only data
#if defined(OS_LINUX)
.section .rodata.cst32,"aM",@progbits,32
#elif defined(OS_MAC)
.section __TEXT,__const
#elif defined(OS_WINDOWS)
.section .rdata,"dr"
#endif
#if defined(OS_LINUX) | defined(OS_WINDOWS)
.align 32
.LC00: // { -1 -1 -1 1 }
#elif defined(OS_MAC)
LC00: // { -1 -1 -1 1 }
.align 5
#endif
.quad -1
.quad -1
.quad -1
.quad 1
#if defined(OS_LINUX) | defined(OS_WINDOWS)
.align 32
.LC01: // { -1 -1 -1 -1 }
#elif defined(OS_MAC)
LC01: // { -1 -1 -1 -1 }
.align 5
#endif
.quad -1
.quad -1
.quad -1
.quad -1
#if defined(OS_LINUX) | defined(OS_WINDOWS)
.align 32
.LC02: // { 3.5 2.5 1.5 0.5 }
#elif defined(OS_MAC)
LC02: // { 3.5 2.5 1.5 0.5 }
.align 5
#endif
.long 0
.long 1071644672
.long 0
.long 1073217536
.long 0
.long 1074003968
.long 0
.long 1074528256
#if defined(OS_LINUX) | defined(OS_WINDOWS)
.align 32
.LC03: // { 7.5 6.5 5.5 4.5 }
#elif defined(OS_MAC)
LC03: // { 7.5 6.5 5.5 4.5 }
.align 5
#endif
.long 0
.long 1074921472
.long 0
.long 1075183616
.long 0
.long 1075445760
.long 0
.long 1075707904
#if defined(OS_LINUX) | defined(OS_WINDOWS)
.align 32
.LC04: // { 1.0 1.0 1.0 1.0 }
#elif defined(OS_MAC)
LC04: // { 1.0 1.0 1.0 1.0 }
.align 5
#endif
.long 0
.long 1072693248
.long 0
.long 1072693248
.long 0
.long 1072693248
.long 0
.long 1072693248
#if defined(OS_LINUX)
.section .note.GNU-stack,"",@progbits
#elif defined(OS_MAC)
.subsections_via_symbols
#endif