Squashed 'third_party/blasfeo/' content from commit 2a828ca

Change-Id: If1c3caa4799b2d4eb287ef83fa17043587ef07a3
git-subtree-dir: third_party/blasfeo
git-subtree-split: 2a828ca5442108c4c58e4b42b061a0469043f6ea
diff --git a/kernel/avx/kernel_sgemv_8_lib8.S b/kernel/avx/kernel_sgemv_8_lib8.S
new file mode 100644
index 0000000..aafd8cb
--- /dev/null
+++ b/kernel/avx/kernel_sgemv_8_lib8.S
@@ -0,0 +1,2837 @@
+/**************************************************************************************************
+*                                                                                                 *
+* 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   <- x
+// ymm0  <- [z0 z1 z2 z3]_a
+// ymm1  <- [z0 z1 z2 z3]_b
+// ymm2  <- [z0 z1 z2 z3]_c
+// ymm3  <- [z0 z1 z2 z3]_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   <- x+k*sizeof(double)
+// ymm0  <- [z0 z1 z2 z3]_a
+// ymm1  <- [z0 z1 z2 z3]_b
+// ymm2  <- [z0 z1 z2 z3]_c
+// ymm3  <- [z0 z1 z2 z3]_d
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=2
+	.macro INNER_KERNEL_GEMV_ADD_N_8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_kernel_gemv_add_n_8_lib8, @function
+inner_kernel_gemv_add_n_8_lib8:
+#elif defined(OS_MAC)
+_inner_kernel_gemv_add_n_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_kernel_gemv_add_n_8_lib8; .scl 2; .type 32; .endef
+inner_kernel_gemv_add_n_8_lib8:
+#endif
+#endif
+	
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	cmpl	$4, %r10d
+	jl		0f // clean-up loop
+
+	// main loop
+	.p2align 3
+1: // main loop
+	
+	vmovaps			0(%r11), %ymm8
+	vbroadcastss	0(%r12), %ymm12
+	vmulps			%ymm8, %ymm12, %ymm15
+	vaddps			%ymm0, %ymm15, %ymm0
+	
+	subl	$4, %r10d
+
+	vmovaps			32(%r11), %ymm8
+	vbroadcastss	4(%r12), %ymm12
+	vmulps			%ymm8, %ymm12, %ymm15
+	vaddps			%ymm1, %ymm15, %ymm1
+	
+	vmovaps			64(%r11), %ymm8
+	vbroadcastss	8(%r12), %ymm12
+	vmulps			%ymm8, %ymm12, %ymm15
+	vaddps			%ymm2, %ymm15, %ymm2
+
+	vmovaps			96(%r11), %ymm8
+	vbroadcastss	12(%r12), %ymm12
+	vmulps			%ymm8, %ymm12, %ymm15
+	vaddps			%ymm3, %ymm15, %ymm3
+	
+	addq	$128, %r11
+	addq	$16, %r12
+	
+	cmpl	$3, %r10d
+
+	jg		1b // main loop 
+
+
+	// consider clean-up
+	cmpl	$0, %r10d
+	jle		2f // return
+
+0: // clean-up
+	
+	vmovaps			0(%r11), %ymm8
+	vbroadcastss	0(%r12), %ymm12
+	vmulps			%ymm8, %ymm12, %ymm15
+	vaddps			%ymm0, %ymm15, %ymm0
+	
+	addq	$32, %r11
+	addq	$4, %r12
+	
+	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_gemv_add_n_8_lib8, .-inner_kernel_gemv_add_n_8_lib8
+#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]
+// 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]
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=2
+	.macro INNER_KERNEL_GEMV_ADD_T_8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_kernel_gemv_add_t_8_lib8, @function
+inner_kernel_gemv_add_t_8_lib8:
+#elif defined(OS_MAC)
+_inner_kernel_gemv_add_t_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_kernel_gemv_add_t_8_lib8; .scl 2; .type 32; .endef
+inner_kernel_gemv_add_t_8_lib8:
+#endif
+#endif
+
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	cmpl	$8, %r10d
+	jl		0f // clean-up loop
+
+	// main loop
+	.p2align 3
+1: // main loop
+	
+	vmovups		0(%r13), %ymm12
+
+	vmovaps		0(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm0, %ymm15, %ymm0
+	
+	subl	$8, %r10d
+
+	vmovaps		32(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm1, %ymm15, %ymm1
+	
+	vmovaps		64(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm2, %ymm15, %ymm2
+
+	vmovaps		96(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm3, %ymm15, %ymm3
+	
+	vmovaps		128(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm4, %ymm15, %ymm4
+	
+	vmovaps		160(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm5, %ymm15, %ymm5
+	
+	vmovaps		192(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm6, %ymm15, %ymm6
+	
+	vmovaps		224(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm7, %ymm15, %ymm7
+	
+	addq	%r12, %r11
+	addq	$32, %r13
+	
+	cmpl	$7, %r10d
+
+	jg		1b // main loop 
+
+
+	// consider clean-up
+	cmpl	$0, %r10d
+	jle		2f // return
+
+0: // clean-up
+	
+	vcvtsi2ss	%r10d, %xmm14, %xmm14
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	vmovups		.LC00(%rip), %ymm13
+#elif defined(OS_MAC)
+	vmovups		LC00(%rip), %ymm13
+#endif
+	vshufps		$0x00, %xmm14, %xmm14, %xmm14
+	vinsertf128	$0x1, %xmm14, %ymm14, %ymm14
+	vsubps		%ymm14, %ymm13, %ymm14
+
+	vmaskmovps	0(%r13), %ymm14, %ymm12
+
+	vmaskmovps	0(%r11), %ymm14, %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm0, %ymm15, %ymm0
+	
+	vmaskmovps	32(%r11), %ymm14, %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm1, %ymm15, %ymm1
+	
+	vmaskmovps	64(%r11), %ymm14, %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm2, %ymm15, %ymm2
+
+	vmaskmovps	96(%r11), %ymm14, %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm3, %ymm15, %ymm3
+		
+	vmaskmovps	128(%r11), %ymm14, %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm4, %ymm15, %ymm4
+		
+	vmaskmovps	160(%r11), %ymm14, %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm5, %ymm15, %ymm5
+		
+	vmaskmovps	192(%r11), %ymm14, %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm6, %ymm15, %ymm6
+		
+	vmaskmovps	224(%r11), %ymm14, %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm7, %ymm15, %ymm7
+		
+	sall	$2, %r10d
+	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_gemv_add_t_8_lib8, .-inner_kernel_gemv_add_t_8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// input arguments:
+// r10d  <- k
+// r11   <- A
+// r12   <- bs*sda*sizeof(double) = 32*sda
+// r13   <- x
+// r14d  <- offA
+// ymm0  <- [z0a z0b z0c z0d]
+// ymm1  <- [z1a z1b z1c z1d]
+// ymm2  <- [z2a z2b z2c z2d]
+// ymm3  <- [z3a z3b z3c z3d]
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+//
+// output arguments:
+// r10d  <- 
+// r11   <- 
+// r12   <- 
+// r13   <- 
+// r14d  <- offA
+// ymm0  <- [z0a z0b z0c z0d]
+// ymm1  <- [z1a z1b z1c z1d]
+// ymm2  <- [z2a z2b z2c z2d]
+// ymm3  <- [z3a z3b z3c z3d]
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=2
+	.macro INNER_EDGE_GEMV_ADD_T_8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_gemv_add_t_8_lib8, @function
+inner_edge_gemv_add_t_8_lib8:
+#elif defined(OS_MAC)
+_inner_edge_gemv_add_t_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_gemv_add_t_8_lib8; .scl 2; .type 32; .endef
+inner_edge_gemv_add_t_8_lib8:
+#endif
+#endif
+
+	cmpl	$0, %r14d
+	jle		0f // return
+
+	movl	%r14d, %r15d
+	sall	$2, %r15d // offA*sizeof(float)
+
+	subq	%r15, %r11 // A - offA
+	subq	%r15, %r13 // x - offA
+
+	movl	%r10d, %r15d // kmax
+	addl	%r14d, %r15d // kmax + offA
+
+	vcvtsi2ss	%r14d, %xmm14, %xmm14 // offA
+	vcvtsi2ss	%r15d, %xmm15, %xmm15 // offA + kmax
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	vmovups		.LC00(%rip), %ymm13
+#elif defined(OS_MAC)
+	vmovups		LC00(%rip), %ymm13
+#endif
+	vshufps		$0x00, %xmm14, %xmm14, %xmm14
+	vshufps		$0x00, %xmm15, %xmm15, %xmm15
+	vinsertf128	$1, %xmm14, %ymm14, %ymm14
+	vinsertf128	$1, %xmm15, %ymm15, %ymm15
+	vsubps		%ymm13, %ymm14, %ymm14
+	vsubps		%ymm15, %ymm13, %ymm15
+	vandps		%ymm15, %ymm14, %ymm14
+
+	vmaskmovps	0(%r13), %ymm14, %ymm12
+
+	vmovaps		0(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm0, %ymm15, %ymm0
+	
+	vmovaps		32(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm1, %ymm15, %ymm1
+	
+	vmovaps		64(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm2, %ymm15, %ymm2
+
+	vmovaps		96(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm3, %ymm15, %ymm3
+
+	vmovaps		128(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm4, %ymm15, %ymm4
+
+	vmovaps		160(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm5, %ymm15, %ymm5
+
+	vmovaps		192(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm6, %ymm15, %ymm6
+
+	vmovaps		224(%r11), %ymm8
+	vmulps		%ymm8, %ymm12, %ymm15
+	vaddps		%ymm7, %ymm15, %ymm7
+
+	addq	$32, %r13 // x + 4
+	addq	%r12, %r11 // A + bs*sda
+		
+	addl	%r14d, %r10d
+	subl	$8, %r10d // kmax - (8-offA)
+	
+0: // return
+
+#if MACRO_LEVEL>=2
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_gemv_add_t_8_lib8, .-inner_edge_gemv_add_t_8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// triangular substitution with vector RHS
+//
+// input arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// ymm0 <- [z0 z1 z2 z3]
+// ymm12 <- dirty
+// ymm13 <- dirty
+//
+// output arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// ymm0 <- [z0 z1 z2 z3]
+// ymm12 <- dirty
+// ymm13 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_TRSV_LN_INV_8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_trsv_ln_inv_8_lib8, @function
+inner_edge_trsv_ln_inv_8_lib8:
+#elif defined(OS_MAC)
+_inner_edge_trsv_ln_inv_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_trsv_ln_inv_8_lib8; .scl 2; .type 32; .endef
+inner_edge_trsv_ln_inv_8_lib8:
+#endif
+#endif
+	
+	vxorps			%ymm14, %ymm14, %ymm14
+
+	vbroadcastss	0(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x01, %ymm1, %ymm0, %ymm0
+
+	vmovaps			0(%r10), %ymm13
+	vblendps		$0x01, %ymm14, %ymm13, %ymm13
+	vpermilps		$0x00, %ymm0, %ymm12
+	vperm2f128		$0x00, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	4(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x02, %ymm1, %ymm0, %ymm0
+
+	vmovaps			32(%r10), %ymm13
+	vblendps		$0x03, %ymm14, %ymm13, %ymm13
+	vpermilps		$0x55, %ymm0, %ymm12
+	vperm2f128		$0x00, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	8(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x04, %ymm1, %ymm0, %ymm0
+
+	vmovaps			64(%r10), %ymm13
+	vblendps		$0x07, %ymm14, %ymm13, %ymm13
+	vpermilps		$0xaa, %ymm0, %ymm12
+	vperm2f128		$0x00, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	12(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x08, %ymm1, %ymm0, %ymm0
+
+	vmovaps			96(%r10), %ymm13
+	vblendps		$0x0f, %ymm14, %ymm13, %ymm13
+	vpermilps		$0xff, %ymm0, %ymm12
+	vperm2f128		$0x00, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	16(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x10, %ymm1, %ymm0, %ymm0
+
+	vmovaps			128(%r10), %ymm13
+	vblendps		$0x1f, %ymm14, %ymm13, %ymm13
+	vpermilps		$0x00, %ymm0, %ymm12
+	vperm2f128		$0x11, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	20(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x20, %ymm1, %ymm0, %ymm0
+
+	vmovaps			160(%r10), %ymm13
+	vblendps		$0x3f, %ymm14, %ymm13, %ymm13
+	vpermilps		$0x55, %ymm0, %ymm12
+	vperm2f128		$0x11, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	24(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x40, %ymm1, %ymm0, %ymm0
+
+	vmovaps			192(%r10), %ymm13
+	vblendps		$0x7f, %ymm14, %ymm13, %ymm13
+	vpermilps		$0xaa, %ymm0, %ymm12
+	vperm2f128		$0x11, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	28(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x80, %ymm1, %ymm0, %ymm0
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_trsv_ln_inv_8_lib8, .-inner_edge_trsv_ln_inv_8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// triangular substitution with vector RHS
+//
+// input arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// r12d <- kn
+// ymm0 <- [z0 z1 z2 z3]
+// ymm12 <- dirty
+// ymm13 <- dirty
+//
+// output arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// r12d <- kn
+// ymm0 <- [z0 z1 z2 z3]
+// ymm12 <- dirty
+// ymm13 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_TRSV_LN_INV_8_VS_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_trsv_ln_inv_8_vs_lib8, @function
+inner_edge_trsv_ln_inv_8_vs_lib8:
+#elif defined(OS_MAC)
+_inner_edge_trsv_ln_inv_8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_trsv_ln_inv_8_vs_lib8; .scl 2; .type 32; .endef
+inner_edge_trsv_ln_inv_8_vs_lib8:
+#endif
+#endif
+	
+	vxorps			%ymm14, %ymm14, %ymm14
+
+	vbroadcastss	0(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x01, %ymm1, %ymm0, %ymm0
+	vmovaps			0(%r10), %ymm13
+	vblendps		$0x01, %ymm14, %ymm13, %ymm13
+	vpermilps		$0x00, %ymm0, %ymm12
+	vperm2f128		$0x00, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+
+	cmpl			$2, %r12d
+	jl				0f // ret
+
+	vbroadcastss	4(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x02, %ymm1, %ymm0, %ymm0
+	vmovaps			32(%r10), %ymm13
+	vblendps		$0x03, %ymm14, %ymm13, %ymm13
+	vpermilps		$0x55, %ymm0, %ymm12
+	vperm2f128		$0x00, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+
+	cmpl			$3, %r12d
+	jl				0f // ret
+
+	vbroadcastss	8(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x04, %ymm1, %ymm0, %ymm0
+	vmovaps			64(%r10), %ymm13
+	vblendps		$0x07, %ymm14, %ymm13, %ymm13
+	vpermilps		$0xaa, %ymm0, %ymm12
+	vperm2f128		$0x00, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+
+	cmpl			$4, %r12d
+	jl				0f // ret
+
+	vbroadcastss	12(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x08, %ymm1, %ymm0, %ymm0
+	vmovaps			96(%r10), %ymm13
+	vblendps		$0x0f, %ymm14, %ymm13, %ymm13
+	vpermilps		$0xff, %ymm0, %ymm12
+	vperm2f128		$0x00, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+
+	cmpl			$5, %r12d
+	jl				0f // ret
+
+	vbroadcastss	16(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x10, %ymm1, %ymm0, %ymm0
+	vmovaps			128(%r10), %ymm13
+	vblendps		$0x1f, %ymm14, %ymm13, %ymm13
+	vpermilps		$0x00, %ymm0, %ymm12
+	vperm2f128		$0x11, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+
+	cmpl			$6, %r12d
+	jl				0f // ret
+
+	vbroadcastss	20(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x20, %ymm1, %ymm0, %ymm0
+	vmovaps			160(%r10), %ymm13
+	vblendps		$0x3f, %ymm14, %ymm13, %ymm13
+	vpermilps		$0x55, %ymm0, %ymm12
+	vperm2f128		$0x11, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+
+	cmpl			$7, %r12d
+	jl				0f // ret
+
+	vbroadcastss	24(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x40, %ymm1, %ymm0, %ymm0
+	vmovaps			192(%r10), %ymm13
+	vblendps		$0x7f, %ymm14, %ymm13, %ymm13
+	vpermilps		$0xaa, %ymm0, %ymm12
+	vperm2f128		$0x11, %ymm12, %ymm12, %ymm12
+	vmulps			%ymm13, %ymm12, %ymm15
+	vsubps			%ymm15, %ymm0, %ymm0
+
+	cmpl			$8, %r12d
+	jl				0f // ret
+
+	vbroadcastss	28(%r11), %ymm12
+	vmulps			%ymm0, %ymm12, %ymm1
+	vblendps		$0x80, %ymm1, %ymm0, %ymm0
+
+0:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_trsv_ln_inv_8_vs_lib8, .-inner_edge_trsv_ln_inv_8_vs_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// triangular substitution with vector RHS
+//
+// input arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// ymm0 <- [z0 z1 z2 z3]
+// ymm12 <- dirty
+// ymm13 <- dirty
+//
+// output arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// ymm0 <- [z0 z1 z2 z3]
+// ymm12 <- dirty
+// ymm13 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_TRSV_LT_INV_8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_trsv_lt_inv_8_lib8, @function
+inner_edge_trsv_lt_inv_8_lib8:
+#elif defined(OS_MAC)
+_inner_edge_trsv_lt_inv_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_trsv_lt_inv_8_lib8; .scl 2; .type 32; .endef
+inner_edge_trsv_lt_inv_8_lib8:
+#endif
+#endif
+	
+	vxorps			%ymm14, %ymm14, %ymm14
+
+	vmovaps			0(%r10), %ymm12
+	vblendps		$0x01, %ymm14, %ymm12, %ymm12
+	vmovaps			32(%r10), %ymm13
+	vblendps		$0x03, %ymm14, %ymm13, %ymm13
+	vunpcklps		%ymm13, %ymm12, %ymm8
+	vunpckhps		%ymm13, %ymm12, %ymm9
+
+	vmovaps			64(%r10), %ymm12
+	vblendps		$0x07, %ymm14, %ymm12, %ymm12
+	vmovaps			96(%r10), %ymm13
+	vblendps		$0x0f, %ymm14, %ymm13, %ymm13
+	vunpcklps		%ymm13, %ymm12, %ymm10
+	vunpckhps		%ymm13, %ymm12, %ymm11
+
+	vshufps			$0x44, %ymm10, %ymm8, %ymm7
+	vshufps			$0xee, %ymm10, %ymm8, %ymm4
+	vshufps			$0x44, %ymm11, %ymm9, %ymm5
+	vshufps			$0xee, %ymm11, %ymm9, %ymm6
+	vextractf128	$0x1, %ymm7, %xmm7
+	vextractf128	$0x1, %ymm4, %xmm8
+	vextractf128	$0x1, %ymm5, %xmm9
+	vextractf128	$0x1, %ymm6, %xmm10
+
+	vmovaps			144(%r10), %xmm12
+	vblendps		$0x01, %xmm14, %xmm12, %xmm12
+	vmovaps			176(%r10), %xmm13
+	vblendps		$0x03, %xmm14, %xmm13, %xmm13
+	vunpcklps		%xmm13, %xmm12, %xmm1
+	vunpckhps		%xmm13, %xmm12, %xmm2
+
+	vmovaps			208(%r10), %xmm12
+	vblendps		$0x07, %xmm14, %xmm12, %xmm12
+	vmovaps			240(%r10), %xmm13
+	vblendps		$0x0f, %xmm14, %xmm13, %xmm13
+	vunpcklps		%xmm13, %xmm12, %xmm3
+	vunpckhps		%xmm13, %xmm12, %xmm15
+
+	vshufps			$0xee, %xmm3, %xmm1, %xmm11
+	vshufps			$0x44, %xmm15, %xmm2, %xmm12
+	vshufps			$0xee, %xmm15, %xmm2, %xmm13
+
+
+	vxorps			%ymm14, %ymm14, %ymm14
+
+	vextractf128	$0x1, %ymm0, %xmm1
+
+	vshufps			$0xff, %xmm1, %xmm1, %xmm2
+	vbroadcastss	28(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x08, %xmm2, %xmm1, %xmm1
+	vmulps			%xmm10, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+	vmulps			%xmm13, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm1, %xmm1
+
+	vshufps			$0xaa, %xmm1, %xmm1, %xmm2
+	vbroadcastss	24(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x04, %xmm2, %xmm1, %xmm1
+	vmulps			%xmm9, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+	vmulps			%xmm12, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm1, %xmm1
+
+	vshufps			$0x55, %xmm1, %xmm1, %xmm2
+	vbroadcastss	20(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x02, %xmm2, %xmm1, %xmm1
+	vmulps			%xmm8, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+	vmulps			%xmm11, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm1, %xmm1
+
+	vshufps			$0x00, %xmm1, %xmm1, %xmm2
+	vbroadcastss	16(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x01, %xmm2, %xmm1, %xmm1
+	vmulps			%xmm7, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+
+	vshufps			$0xff, %xmm0, %xmm0, %xmm2
+	vbroadcastss	12(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x08, %xmm2, %xmm0, %xmm0
+	vmulps			%xmm6, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+
+	vshufps			$0xaa, %xmm0, %xmm0, %xmm2
+	vbroadcastss	8(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x04, %xmm2, %xmm0, %xmm0
+	vmulps			%xmm5, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+
+	vshufps			$0x55, %xmm0, %xmm0, %xmm2
+	vbroadcastss	4(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x02, %xmm2, %xmm0, %xmm0
+	vmulps			%xmm4, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+
+	vshufps			$0x00, %xmm0, %xmm0, %xmm2
+	vbroadcastss	0(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x01, %xmm2, %xmm0, %xmm0
+
+	vinsertf128		$0x1, %xmm1, %ymm0, %ymm0
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_trsv_lt_inv_8_lib8, .-inner_edge_trsv_lt_inv_8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// triangular substitution with vector RHS
+//
+// input arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// r12  <- km
+// r13  <- kn
+// r14  <- x
+// ymm0 <- [z0 z1 z2 z3]
+// ymm12 <- dirty
+// ymm13 <- dirty
+//
+// output arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// r12  <- km
+// r13  <- kn
+// r14  <- x
+// ymm0 <- [z0 z1 z2 z3]
+// ymm12 <- dirty
+// ymm13 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_TRSV_LT_INV_8_VS_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_trsv_lt_inv_8_vs_lib8, @function
+inner_edge_trsv_lt_inv_8_vs_lib8:
+#elif defined(OS_MAC)
+_inner_edge_trsv_lt_inv_8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_trsv_lt_inv_8_vs_lib8; .scl 2; .type 32; .endef
+inner_edge_trsv_lt_inv_8_vs_lib8:
+#endif
+#endif
+	
+	vcvtsi2ss	%r13d, %xmm14, %xmm14
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	vmovups		.LC00(%rip), %ymm13
+#elif defined(OS_MAC)
+	vmovups		LC00(%rip), %ymm13
+#endif
+	vshufps		$0x00, %xmm14, %xmm14, %xmm14
+	vinsertf128	$0x1, %xmm14, %ymm14, %ymm14
+	vsubps		%ymm14, %ymm13, %ymm14
+
+	vmovups		0(%r14), %ymm15
+	vblendvps	%ymm14, %ymm0, %ymm15, %ymm0
+
+
+
+	vxorps			%ymm14, %ymm14, %ymm14
+
+	vmovaps			0(%r10), %ymm12
+	vblendps		$0x01, %ymm14, %ymm12, %ymm12
+	cmpl	$2, %r13d
+	jl		1f
+	vmovaps			32(%r10), %ymm13
+	vblendps		$0x03, %ymm14, %ymm13, %ymm13
+	vunpcklps		%ymm13, %ymm12, %ymm8
+	vunpckhps		%ymm13, %ymm12, %ymm9
+
+	cmpl	$3, %r13d
+	jl		2f
+	vmovaps			64(%r10), %ymm12
+	vblendps		$0x07, %ymm14, %ymm12, %ymm12
+	cmpl	$4, %r13d
+	jl		3f
+	vmovaps			96(%r10), %ymm13
+	vblendps		$0x0f, %ymm14, %ymm13, %ymm13
+	vunpcklps		%ymm13, %ymm12, %ymm10
+	vunpckhps		%ymm13, %ymm12, %ymm11
+
+	vshufps			$0x44, %ymm10, %ymm8, %ymm7
+	vshufps			$0xee, %ymm10, %ymm8, %ymm4
+	vshufps			$0x44, %ymm11, %ymm9, %ymm5
+	vshufps			$0xee, %ymm11, %ymm9, %ymm6
+	vextractf128	$0x1, %ymm7, %xmm7
+	vextractf128	$0x1, %ymm4, %xmm8
+	vextractf128	$0x1, %ymm5, %xmm9
+	vextractf128	$0x1, %ymm6, %xmm10
+
+	cmpl	$5, %r13d
+	jl		4f
+	vmovaps			144(%r10), %xmm12
+	vblendps		$0x01, %xmm14, %xmm12, %xmm12
+	cmpl	$6, %r13d
+	jl		5f
+	vmovaps			176(%r10), %xmm13
+	vblendps		$0x03, %xmm14, %xmm13, %xmm13
+	vunpcklps		%xmm13, %xmm12, %xmm1
+	vunpckhps		%xmm13, %xmm12, %xmm2
+
+	cmpl	$7, %r13d
+	jl		6f
+	vmovaps			208(%r10), %xmm12
+	vblendps		$0x07, %xmm14, %xmm12, %xmm12
+	cmpl	$8, %r13d
+	jl		7f
+	vmovaps			240(%r10), %xmm13
+	vblendps		$0x0f, %xmm14, %xmm13, %xmm13
+	vunpcklps		%xmm13, %xmm12, %xmm3
+	vunpckhps		%xmm13, %xmm12, %xmm15
+
+	vshufps			$0xee, %xmm3, %xmm1, %xmm11
+	vshufps			$0x44, %xmm15, %xmm2, %xmm12
+	vshufps			$0xee, %xmm15, %xmm2, %xmm13
+
+	jmp		0f
+
+
+
+	vmovaps			%ymm14, %ymm12
+1:
+	vmovaps			%ymm14, %ymm13
+	vunpcklps		%ymm13, %ymm12, %ymm8
+	vunpckhps		%ymm13, %ymm12, %ymm9
+
+2:
+	vmovaps			%ymm14, %ymm12
+3:
+	vmovaps			%ymm14, %ymm13
+	vunpcklps		%ymm13, %ymm12, %ymm10
+	vunpckhps		%ymm13, %ymm12, %ymm11
+
+	vshufps			$0x44, %ymm10, %ymm8, %ymm7
+	vshufps			$0xee, %ymm10, %ymm8, %ymm4
+	vshufps			$0x44, %ymm11, %ymm9, %ymm5
+	vshufps			$0xee, %ymm11, %ymm9, %ymm6
+	vextractf128	$0x1, %ymm7, %xmm7
+	vextractf128	$0x1, %ymm4, %xmm8
+	vextractf128	$0x1, %ymm5, %xmm9
+	vextractf128	$0x1, %ymm6, %xmm10
+
+	jmp		8f
+
+4:
+	vmovaps			%xmm14, %xmm12
+5:
+	vmovaps			%xmm14, %xmm13
+	vunpcklps		%xmm13, %xmm12, %xmm1
+	vunpckhps		%xmm13, %xmm12, %xmm2
+
+6:
+	vmovaps			%xmm14, %xmm12
+7:
+	vmovaps			%xmm14, %xmm13
+	vunpcklps		%xmm13, %xmm12, %xmm3
+	vunpckhps		%xmm13, %xmm12, %xmm15
+
+	vshufps			$0xee, %xmm3, %xmm1, %xmm11
+	vshufps			$0x44, %xmm15, %xmm2, %xmm12
+	vshufps			$0xee, %xmm15, %xmm2, %xmm13
+
+8:
+	
+	vmovaps			%xmm14, %xmm11
+	vmovaps			%xmm14, %xmm12
+	vmovaps			%xmm14, %xmm13
+
+0:
+	vxorps			%ymm14, %ymm14, %ymm14
+
+	vextractf128	$0x1, %ymm0, %xmm1
+
+	cmpl	$8, %r12d
+	jl		0f
+
+	vshufps			$0xff, %xmm1, %xmm1, %xmm2
+	cmpl	$8, %r13d
+	jl		1f
+	vbroadcastss	28(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x08, %xmm2, %xmm1, %xmm1
+1:
+	vmulps			%xmm10, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+	vmulps			%xmm13, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm1, %xmm1
+
+0:
+	cmpl	$7, %r12d
+	jl		0f
+
+	vshufps			$0xaa, %xmm1, %xmm1, %xmm2
+	cmpl	$7, %r13d
+	jl		1f
+	vbroadcastss	24(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x04, %xmm2, %xmm1, %xmm1
+1:
+	vmulps			%xmm9, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+	vmulps			%xmm12, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm1, %xmm1
+
+0:
+	cmpl	$6, %r12d
+	jl		0f
+
+	vshufps			$0x55, %xmm1, %xmm1, %xmm2
+	cmpl	$6, %r13d
+	jl		1f
+	vbroadcastss	20(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x02, %xmm2, %xmm1, %xmm1
+1:
+	vmulps			%xmm8, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+	vmulps			%xmm11, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm1, %xmm1
+
+0:
+	cmpl	$5, %r12d
+	jl		0f
+
+	vshufps			$0x00, %xmm1, %xmm1, %xmm2
+	cmpl	$5, %r13d
+	jl		1f
+	vbroadcastss	16(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x01, %xmm2, %xmm1, %xmm1
+1:
+	vmulps			%xmm7, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+
+0:
+	cmpl	$4, %r12d
+	jl		0f
+
+	vshufps			$0xff, %xmm0, %xmm0, %xmm2
+	cmpl	$4, %r13d
+	jl		1f
+	vbroadcastss	12(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x08, %xmm2, %xmm0, %xmm0
+1:
+	vmulps			%xmm6, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+
+0:
+	cmpl	$3, %r12d
+	jl		0f
+
+	vshufps			$0xaa, %xmm0, %xmm0, %xmm2
+	cmpl	$3, %r13d
+	jl		1f
+	vbroadcastss	8(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x04, %xmm2, %xmm0, %xmm0
+1:
+	vmulps			%xmm5, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+
+0:
+	cmpl	$2, %r12d
+	jl		0f
+
+	vshufps			$0x55, %xmm0, %xmm0, %xmm2
+	cmpl	$2, %r13d
+	jl		1f
+	vbroadcastss	4(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x02, %xmm2, %xmm0, %xmm0
+1:
+	vmulps			%xmm4, %xmm2, %xmm15
+	vsubps			%xmm15, %xmm0, %xmm0
+
+0:
+	cmpl	$1, %r12d
+	jl		0f
+
+	vshufps			$0x00, %xmm0, %xmm0, %xmm2
+	cmpl	$1, %r13d
+	jl		1f
+	vbroadcastss	0(%r11), %xmm15
+	vmulps			%xmm2, %xmm15, %xmm2
+	vblendps		$0x01, %xmm2, %xmm0, %xmm0
+1:
+
+0:
+
+	vinsertf128		$0x1, %xmm1, %ymm0, %ymm0
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_trsv_lt_inv_8_vs_lib8, .-inner_edge_trsv_lt_inv_8_vs_lib8
+#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 <- [z0 z1 z2 z3]_b
+// ymm2 <- [z0 z1 z2 z3]_c
+// ymm3 <- [z0 z1 z2 z3]_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 <- dirty
+// 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_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_n_scale_ab_8_lib8, @function
+inner_blend_n_scale_ab_8_lib8:
+#elif defined(OS_MAC)
+_inner_blend_n_scale_ab_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_n_scale_ab_8_lib8; .scl 2; .type 32; .endef
+inner_blend_n_scale_ab_8_lib8:
+#endif
+#endif
+
+	// reduction
+	vaddps			%ymm0, %ymm1, %ymm0
+	vaddps			%ymm2, %ymm3, %ymm2
+	vaddps			%ymm0, %ymm2, %ymm0
+
+	// alpha
+	vbroadcastss	0(%r10), %ymm15
+	vmulps			%ymm0, %ymm15, %ymm0
+
+	// beta
+	vbroadcastss	0(%r11), %ymm15
+	vmovups			0(%r12), %ymm14
+	vmulps			%ymm15, %ymm14, %ymm14
+	vaddps			%ymm0, %ymm14, %ymm0
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+	
+#if defined(OS_LINUX)
+	.size	inner_blend_n_scale_ab_8_lib8, .-inner_blend_n_scale_ab_8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// blend for ta==n, scale for alpha=-1.0 and beta=1.0
+//
+// input arguments:
+// r10  <- y
+// ymm0 <- [z0 z1 z2 z3]_a
+// ymm1 <- [z0 z1 z2 z3]_b
+// ymm2 <- [z0 z1 z2 z3]_c
+// ymm3 <- [z0 z1 z2 z3]_d
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10  <- y
+// ymm0 <- [z0 z1 z2 z3]
+// ymm1 <- dirty
+// ymm2 <- dirty
+// ymm3 <- dirty
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_BLEND_N_SCALE_M11_8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_n_scale_m11_8_lib8, @function
+inner_blend_n_scale_m11_8_lib8:
+#elif defined(OS_MAC)
+_inner_blend_n_scale_m11_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_n_scale_m11_8_lib8; .scl 2; .type 32; .endef
+inner_blend_n_scale_m11_8_lib8:
+#endif
+#endif
+
+	// reduction
+	vaddps	%ymm0, %ymm1, %ymm0
+	vaddps	%ymm2, %ymm3, %ymm2
+	vaddps	%ymm0, %ymm2, %ymm0
+
+	// beta
+	vmovups		0(%r10), %ymm14
+	vsubps		%ymm0, %ymm14, %ymm0
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+	
+#if defined(OS_LINUX)
+	.size	inner_blend_n_scale_m11_8_lib8, .-inner_blend_n_scale_m11_8_lib8
+#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]
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10  <- alpha
+// r11  <- beta
+// r12  <- y
+// ymm0 <- [z0 z1 z2 z3]
+// ymm1 <- dirty
+// 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_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_t_scale_ab_8_lib8, @function
+inner_blend_t_scale_ab_8_lib8:
+#elif defined(OS_MAC)
+_inner_blend_t_scale_ab_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_t_scale_ab_8_lib8; .scl 2; .type 32; .endef
+inner_blend_t_scale_ab_8_lib8:
+#endif
+#endif
+
+	// reduction
+	vhaddps			%ymm1, %ymm0, %ymm0
+	vhaddps			%ymm3, %ymm2, %ymm2
+	vhaddps			%ymm5, %ymm4, %ymm4
+	vhaddps			%ymm7, %ymm6, %ymm6
+
+	vhaddps			%ymm2, %ymm0, %ymm0
+	vhaddps			%ymm6, %ymm4, %ymm4
+
+	vperm2f128		$0x20, %ymm4, %ymm0, %ymm1
+	vperm2f128		$0x13, %ymm0, %ymm4, %ymm0
+
+	vaddps			%ymm0, %ymm1, %ymm0
+
+	// alpha
+	vbroadcastss	0(%r10), %ymm15
+	vmulps			%ymm0, %ymm15, %ymm0
+
+	// beta
+	vbroadcastss	0(%r11), %ymm15
+	vmovups			0(%r12), %ymm14
+	vmulps			%ymm15, %ymm14, %ymm14
+	vaddps			%ymm0, %ymm14, %ymm0
+	
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+	
+#if defined(OS_LINUX)
+	.size	inner_blend_t_scale_ab_8_lib8, .-inner_blend_t_scale_ab_8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// blend for ta==t, scale for alpha=-1.0 and beta=1.0
+//
+// input arguments:
+// r10  <- y
+// ymm0 <- [z0a z0b z0c z0d]
+// ymm1 <- [z1a z1b z1c z1d]
+// ymm2 <- [z2a z2b z2c z2d]
+// ymm3 <- [z3a z3b z3c z3d]
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10  <- y
+// ymm0 <- [z0 z1 z2 z3]
+// ymm1 <- dirty
+// ymm2 <- dirty
+// ymm3 <- dirty
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_BLEND_T_SCALE_M11_8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_t_scale_m11_8_lib8, @function
+inner_blend_t_scale_m11_8_lib8:
+#elif defined(OS_MAC)
+_inner_blend_t_scale_m11_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_t_scale_m11_8_lib8; .scl 2; .type 32; .endef
+inner_blend_t_scale_m11_8_lib8:
+#endif
+#endif
+
+	// reduction
+	vhaddps			%ymm1, %ymm0, %ymm0
+	vhaddps			%ymm3, %ymm2, %ymm2
+	vhaddps			%ymm5, %ymm4, %ymm4
+	vhaddps			%ymm7, %ymm6, %ymm6
+
+	vhaddps			%ymm2, %ymm0, %ymm0
+	vhaddps			%ymm6, %ymm4, %ymm4
+
+	vperm2f128		$0x20, %ymm4, %ymm0, %ymm1
+	vperm2f128		$0x13, %ymm0, %ymm4, %ymm0
+
+	vaddps			%ymm0, %ymm1, %ymm0
+
+	// beta
+	vmovups			0(%r10), %ymm14
+	vsubps			%ymm0, %ymm14, %ymm0
+	
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+	
+#if defined(OS_LINUX)
+	.size	inner_blend_t_scale_m11_8_lib8, .-inner_blend_t_scale_m11_8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store 
+//
+// input arguments:
+// r10  <- z
+// ymm0 <- [z0 z1 z2 z3]
+//
+// output arguments:
+// r10  <- z
+// ymm0 <- [z0 z1 z2 z3]
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_8_lib8, @function
+inner_store_8_lib8:
+#elif defined(OS_MAC)
+_inner_store_8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_store_8_lib8; .scl 2; .type 32; .endef
+inner_store_8_lib8:
+#endif
+#endif
+	
+	vmovups %ymm0,  0(%r10)
+	
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_8_lib8, .-inner_store_8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store vs
+//
+// input arguments:
+// r10   <- D
+// r11d   <- km
+// ymm0  <- [z0 z1 z2 z3]
+// ymm14 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10   <- D
+// r11d   <- km
+// ymm0  <- [z0 z1 z2 z3]
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_8_VS_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_8_vs_lib8, @function
+inner_store_8_vs_lib8:
+#elif defined(OS_MAC)
+_inner_store_8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_store_8_vs_lib8; .scl 2; .type 32; .endef
+inner_store_8_vs_lib8:
+#endif
+#endif
+	
+	vcvtsi2ss	%r11d, %xmm15, %xmm15
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	vmovups		.LC00(%rip), %ymm14
+#elif defined(OS_MAC)
+	vmovups		LC00(%rip), %ymm14
+#endif
+	vshufps		$0x00, %xmm15, %xmm15, %xmm15
+	vinsertf128	$0x1, %xmm15, %ymm15, %ymm15
+	vsubps		%ymm15, %ymm14, %ymm15
+
+	vmaskmovps	%ymm0, %ymm15,  0(%r10)
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_8_vs_lib8, .-inner_store_8_vs_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store gen
+//
+// input arguments:
+// r10   <- D
+// r11d  <- k0 : start form (inc)
+// r12d  <- k1 : up to (exc)
+// ymm0  <- [z0 z1 z2 z3]
+// ymm14 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10   <- D
+// r11d  <- k0 : start form (inc)
+// r12d  <- k1 : up to (exc)
+// ymm0  <- [z0 z1 z2 z3]
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_8_GEN_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_8_gen_lib8, @function
+inner_store_8_gen_lib8:
+#elif defined(OS_MAC)
+_inner_store_8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_store_8_gen_lib8; .scl 2; .type 32; .endef
+inner_store_8_gen_lib8:
+#endif
+#endif
+	
+	// compute mask for rows
+	vcvtsi2ss	%r11d, %xmm14, %xmm14
+	vcvtsi2ss	%r12d, %xmm15, %xmm15
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	vmovups		.LC00(%rip), %ymm12
+#elif defined(OS_MAC)
+	vmovups		LC00(%rip), %ymm12
+#endif
+	vshufps		$0x00, %xmm14, %xmm14, %xmm14
+	vshufps		$0x00, %xmm15, %xmm15, %xmm15
+	vinsertf128	$0x1, %xmm14, %ymm14, %ymm14
+	vinsertf128	$0x1, %xmm15, %ymm15, %ymm15
+	vsubps		%ymm12, %ymm14, %ymm14
+	vsubps		%ymm15, %ymm12, %ymm15
+	vandps		%ymm14, %ymm15, %ymm15
+
+	vmaskmovps	%ymm0, %ymm15,  0(%r10)
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_8_gen_lib8, .-inner_store_8_gen_lib8
+#endif
+#endif
+
+
+
+
+
+//                            1      2              3          4          5             6          7
+// void kernel_sgemv_n_8_lib8(int k, double *alpha, double *A, double *x, double *beta, double *y, double *z);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemv_n_8_lib8
+	.type kernel_sgemv_n_8_lib8, @function
+kernel_sgemv_n_8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemv_n_8_lib8
+_kernel_sgemv_n_8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemv_n_8_lib8
+	.def kernel_sgemv_n_8_lib8; .scl 2; .type 32; .endef
+kernel_sgemv_n_8_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+
+
+	// call inner sgemv kernel n
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // x
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_N_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_n_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_n_8_lib8
+#endif
+#endif
+
+
+	// call inner blend n scale ab
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11   // beta
+	movq	ARG6, %r12   // y
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_N_SCALE_AB_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_n_scale_ab_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_n_scale_ab_8_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG7, %r10 // z 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemv_n_8_lib8, .-kernel_sgemv_n_8_lib8
+#endif
+
+
+
+
+
+//                               1      2              3          4          5             6          7          8
+// void kernel_sgemv_n_8_vs_lib8(int k, double *alpha, double *A, double *x, double *beta, double *y, double *z, int k1);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemv_n_8_vs_lib8
+	.type kernel_sgemv_n_8_vs_lib8, @function
+kernel_sgemv_n_8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemv_n_8_vs_lib8
+_kernel_sgemv_n_8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemv_n_8_vs_lib8
+	.def kernel_sgemv_n_8_vs_lib8; .scl 2; .type 32; .endef
+kernel_sgemv_n_8_vs_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+
+
+	// call inner sgemv kernel n
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // x
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_N_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_n_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_n_8_lib8
+#endif
+#endif
+
+
+	// call inner blend n scale ab
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11   // beta
+	movq	ARG6, %r12   // y
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_N_SCALE_AB_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_n_scale_ab_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_n_scale_ab_8_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG7, %r10 // z 
+	movq	ARG8, %r11 // k1 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemv_n_8_vs_lib8, .-kernel_sgemv_n_8_vs_lib8
+#endif
+
+
+
+
+
+//                                1      2              3          4          5             6          7          8       9
+// void kernel_sgemv_n_8_gen_lib8(int k, double *alpha, double *A, double *x, double *beta, double *y, double *z, int k0, int kq);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemv_n_8_gen_lib8
+	.type kernel_sgemv_n_8_gen_lib8, @function
+kernel_sgemv_n_8_gen_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemv_n_8_gen_lib8
+_kernel_sgemv_n_8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemv_n_8_gen_lib8
+	.def kernel_sgemv_n_8_gen_lib8; .scl 2; .type 32; .endef
+kernel_sgemv_n_8_gen_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+
+
+	// call inner sgemv kernel n
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // x
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_N_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_n_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_n_8_lib8
+#endif
+#endif
+
+
+	// call inner blend n scale ab
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11   // beta
+	movq	ARG6, %r12   // y
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_N_SCALE_AB_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_n_scale_ab_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_n_scale_ab_8_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG7, %r10 // z 
+	movq	ARG8, %r11 // k1 
+	movq	ARG9, %r12 // k2 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_GEN_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_gen_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_gen_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemv_n_8_gen_lib8, .-kernel_sgemv_n_8_gen_lib8
+#endif
+
+
+
+
+
+//                            1      2              3          4        5          6             7         8
+// void kernel_sgemv_t_8_lib8(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_sgemv_t_8_lib8
+	.type kernel_sgemv_t_8_lib8, @function
+kernel_sgemv_t_8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemv_t_8_lib8
+_kernel_sgemv_t_8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemv_t_8_lib8
+	.def kernel_sgemv_t_8_lib8; .scl 2; .type 32; .endef
+kernel_sgemv_t_8_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+	vmovaps	%ymm0, %ymm4
+	vmovaps	%ymm0, %ymm5
+	vmovaps	%ymm0, %ymm6
+	vmovaps	%ymm0, %ymm7
+
+
+	// call inner sgemv kernel n
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12 // sda
+	sall	$5, %r12d // 8*sda*sizeof(float)
+	movq	ARG5, %r13  // x
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_T_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_t_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_t_8_lib8
+#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_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_t_scale_ab_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_t_scale_ab_8_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10 // z 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemv_t_8_lib8, .-kernel_sgemv_t_8_lib8
+#endif
+
+
+
+
+
+//                               1      2              3          4        5          6             7         8           9
+// void kernel_sgemv_t_8_vs_lib8(int k, double *alpha, double *A, int sda, double *x, double *beta, double *y, double *z, int k1);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemv_t_8_vs_lib8
+	.type kernel_sgemv_t_8_vs_lib8, @function
+kernel_sgemv_t_8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemv_t_8_vs_lib8
+_kernel_sgemv_t_8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemv_t_8_vs_lib8
+	.def kernel_sgemv_t_8_vs_lib8; .scl 2; .type 32; .endef
+kernel_sgemv_t_8_vs_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+	vmovaps	%ymm0, %ymm4
+	vmovaps	%ymm0, %ymm5
+	vmovaps	%ymm0, %ymm6
+	vmovaps	%ymm0, %ymm7
+
+
+	// call inner sgemv kernel n
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12 // sda
+	sall	$5, %r12d // 8*sda*sizeof(float)
+	movq	ARG5, %r13  // x
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_T_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_t_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_t_8_lib8
+#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_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_t_scale_ab_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_t_scale_ab_8_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10 // z 
+	movq	ARG9, %r11 // k1 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemv_t_8_vs_lib8, .-kernel_sgemv_t_8_vs_lib8
+#endif
+
+
+
+
+
+//                                1      2              3         4          5        6          7             8          9          10
+// void kernel_sgemv_t_8_gen_lib8(int k, double *alpha, int offA, double *A, int sda, double *x, double *beta, double *y, double *z, int km);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemv_t_8_gen_lib8
+	.type kernel_sgemv_t_8_gen_lib8, @function
+kernel_sgemv_t_8_gen_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemv_t_8_gen_lib8
+_kernel_sgemv_t_8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemv_t_8_gen_lib8
+	.def kernel_sgemv_t_8_gen_lib8; .scl 2; .type 32; .endef
+kernel_sgemv_t_8_gen_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+	vmovaps	%ymm0, %ymm4
+	vmovaps	%ymm0, %ymm5
+	vmovaps	%ymm0, %ymm6
+	vmovaps	%ymm0, %ymm7
+
+
+	// call inner sgemv kernel n
+
+	movq	ARG1, %r10 // k
+	movq	ARG4, %r11  // A
+	movq	ARG5, %r12 // sda
+	sall	$5, %r12d // 8*sda*sizeof(float)
+	movq	ARG6, %r13  // x
+	movq	ARG3, %r14 // offA
+
+#if MACRO_LEVEL>=2
+	INNER_EDGE_GEMV_ADD_T_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_gemv_add_t_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_gemv_add_t_8_lib8
+#endif
+#endif
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_T_8_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_t_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_t_8_lib8
+#endif
+#endif
+
+
+	// call inner blender t
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG7, %r11   // beta
+	movq	ARG8, %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_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_t_scale_ab_8_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG9, %r10 // z 
+	movq	ARG10, %r11 // km 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemv_t_8_gen_lib8, .-kernel_sgemv_t_8_gen_lib8
+#endif
+
+
+
+
+
+//                                 1      2          3                   4          5          6
+// void kernel_strsv_ln_inv_8_lib8(int k, double *A, double *inv_diag_A, double *x, double *y, double *z);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_strsv_ln_inv_8_lib8
+	.type kernel_strsv_ln_inv_8_lib8, @function
+kernel_strsv_ln_inv_8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_strsv_ln_inv_8_lib8
+_kernel_strsv_ln_inv_8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_strsv_ln_inv_8_lib8
+	.def kernel_strsv_ln_inv_8_lib8; .scl 2; .type 32; .endef
+kernel_strsv_ln_inv_8_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+	vmovaps	%ymm0, %ymm4
+	vmovaps	%ymm0, %ymm5
+	vmovaps	%ymm0, %ymm6
+	vmovaps	%ymm0, %ymm7
+
+
+	// call inner dgemv kernel n
+
+	movq	ARG1, %r10 // k
+	movq	ARG2, %r11  // A
+	movq	ARG4, %r12  // x
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_N_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_n_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_n_8_lib8
+#endif
+#endif
+
+	movq	%r11, %r13 // A+k*sizeof(double)
+
+
+	// call inner blender n
+
+	movq	ARG5, %r10   // y
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_N_SCALE_M11_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_n_scale_m11_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_n_scale_m11_8_lib8
+#endif
+#endif
+
+
+	// solution
+
+	movq	%r13, %r10 // A+k*sizeof(double)
+	movq	ARG3, %r11 // inv_diag_A
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_TRSV_LN_INV_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_trsv_ln_inv_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_trsv_ln_inv_8_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG6, %r10 // z 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_strsv_ln_inv_8_lib8, .-kernel_strsv_ln_inv_8_lib8
+#endif
+
+
+
+
+
+//                                    1      2          3                   4          5          6          7       8
+// void kernel_strsv_ln_inv_8_vs_lib8(int k, double *A, double *inv_diag_A, double *x, double *y, double *z, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_strsv_ln_inv_8_vs_lib8
+	.type kernel_strsv_ln_inv_8_vs_lib8, @function
+kernel_strsv_ln_inv_8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_strsv_ln_inv_8_vs_lib8
+_kernel_strsv_ln_inv_8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_strsv_ln_inv_8_vs_lib8
+	.def kernel_strsv_ln_inv_8_vs_lib8; .scl 2; .type 32; .endef
+kernel_strsv_ln_inv_8_vs_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+	vmovaps	%ymm0, %ymm4
+	vmovaps	%ymm0, %ymm5
+	vmovaps	%ymm0, %ymm6
+	vmovaps	%ymm0, %ymm7
+
+
+	// call inner dgemv kernel n
+
+	movq	ARG1, %r10 // k
+	movq	ARG2, %r11  // A
+	movq	ARG4, %r12  // x
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_N_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_n_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_n_8_lib8
+#endif
+#endif
+
+	movq	%r11, %r13 // A+k*sizeof(double)
+
+
+	// call inner blender n
+
+	movq	ARG5, %r10   // y
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_N_SCALE_M11_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_n_scale_m11_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_n_scale_m11_8_lib8
+#endif
+#endif
+
+
+	// solution
+
+	movq	%r13, %r10 // A+k*sizeof(double)
+	movq	ARG3, %r11 // inv_diag_A
+	movq	ARG8, %r12 // kn
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_TRSV_LN_INV_8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_trsv_ln_inv_8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_trsv_ln_inv_8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG6, %r10 // z 
+	movq	ARG7, %r11 // km
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_strsv_ln_inv_8_vs_lib8, .-kernel_strsv_ln_inv_8_vs_lib8
+#endif
+
+
+
+
+
+//                                 1      2          3        4                   5          6          7
+// void kernel_strsv_lt_inv_8_lib8(int k, double *A, int sda, double *inv_diag_A, double *x, double *y, double *z);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_strsv_lt_inv_8_lib8
+	.type kernel_strsv_lt_inv_8_lib8, @function
+kernel_strsv_lt_inv_8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_strsv_lt_inv_8_lib8
+_kernel_strsv_lt_inv_8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_strsv_lt_inv_8_lib8
+	.def kernel_strsv_lt_inv_8_lib8; .scl 2; .type 32; .endef
+kernel_strsv_lt_inv_8_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+	vmovaps	%ymm0, %ymm4
+	vmovaps	%ymm0, %ymm5
+	vmovaps	%ymm0, %ymm6
+	vmovaps	%ymm0, %ymm7
+
+
+	// call inner dgemv kernel n
+
+	movq	ARG1, %r10 // k
+	subl	$8, %r10d
+	movq	ARG2, %r11 // A
+	movq	ARG3, %r12
+	sall	$5, %r12d // 8*sda*sizeof(float)
+	addq	%r12, %r11 // A+8*sda*sizeof(float)
+	movq	ARG5, %r13 // x
+	addq	$32, %r13 // x+8 
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_T_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_t_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_t_8_lib8
+#endif
+#endif
+
+
+	// call inner blender t
+
+	movq	ARG6, %r10 // y 
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_T_SCALE_M11_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_t_scale_m11_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_t_scale_m11_8_lib8
+#endif
+#endif
+
+
+	// solution
+
+	movq	ARG2, %r10 // A
+	movq	ARG4, %r11 // inv_diag_A
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_TRSV_LT_INV_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_trsv_lt_inv_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_trsv_lt_inv_8_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG7, %r10 // z 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_strsv_lt_inv_8_lib8, .-kernel_strsv_lt_inv_8_lib8
+#endif
+
+
+
+
+
+//                                    1      2          3        4                   5          6          7          8      9
+// void kernel_strsv_lt_inv_8_vs_lib8(int k, double *A, int sda, double *inv_diag_A, double *x, double *y, double *z, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_strsv_lt_inv_8_vs_lib8
+	.type kernel_strsv_lt_inv_8_vs_lib8, @function
+kernel_strsv_lt_inv_8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_strsv_lt_inv_8_vs_lib8
+_kernel_strsv_lt_inv_8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_strsv_lt_inv_8_vs_lib8
+	.def kernel_strsv_lt_inv_8_vs_lib8; .scl 2; .type 32; .endef
+kernel_strsv_lt_inv_8_vs_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorps	%ymm0, %ymm0, %ymm0
+	vmovaps	%ymm0, %ymm1
+	vmovaps	%ymm0, %ymm2
+	vmovaps	%ymm0, %ymm3
+	vmovaps	%ymm0, %ymm4
+	vmovaps	%ymm0, %ymm5
+	vmovaps	%ymm0, %ymm6
+	vmovaps	%ymm0, %ymm7
+
+
+	// call inner dgemv kernel n
+
+	movq	ARG1, %r10 // k
+	subl	$8, %r10d
+	movq	ARG2, %r11 // A
+	movq	ARG3, %r12
+	sall	$5, %r12d // 8*sda*sizeof(float)
+	addq	%r12, %r11 // A+8*sda*sizeof(float)
+	movq	ARG5, %r13 // x
+	addq	$32, %r13 // x+8 
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMV_ADD_T_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemv_add_t_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemv_add_t_8_lib8
+#endif
+#endif
+
+
+	// call inner blender t
+
+	movq	ARG6, %r10 // y 
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_T_SCALE_M11_8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_t_scale_m11_8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_t_scale_m11_8_lib8
+#endif
+#endif
+
+
+	// solution
+
+	movq	ARG2, %r10 // A
+	movq	ARG4, %r11 // inv_diag_A
+	movq	ARG8, %r12 // km
+	movq	ARG9, %r13 // kn
+	movq	ARG5, %r14 // x
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_TRSV_LT_INV_8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_trsv_lt_inv_8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_trsv_lt_inv_8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG7, %r10 // z 
+	movq	ARG9, %r11 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_strsv_lt_inv_8_vs_lib8, .-kernel_strsv_lt_inv_8_vs_lib8
+#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)
+	.align 32
+.LC00: // { 7.5 6.5 5.5 4.5 3.5 2.5 1.5 0.5 }
+#elif defined(OS_MAC)
+	.align 5
+LC00: // { 7.5 6.5 5.5 4.5 3.5 2.5 1.5 0.5 }
+#endif
+	.float	0.5
+	.float	1.5
+	.float	2.5
+	.float	3.5
+	.float	4.5
+	.float	5.5
+	.float	6.5
+	.float	7.5
+
+
+
+
+#if defined(OS_LINUX)
+	.section	.note.GNU-stack,"",@progbits
+#elif defined(OS_MAC)
+	.subsections_via_symbols
+#endif
+