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_sgemm_8x8_lib8.S b/kernel/avx/kernel_sgemm_8x8_lib8.S
new file mode 100644
index 0000000..354fa83
--- /dev/null
+++ b/kernel/avx/kernel_sgemm_8x8_lib8.S
@@ -0,0 +1,5514 @@
+/**************************************************************************************************
+*                                                                                                 *
+* 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   <- B
+// ymm0  <- [d00 d11 d22 d33 d40 d51 d62 d73]
+// ymm1  <- [d01 d10 d23 d32 d41 d50 d63 d72]
+// ymm2  <- [d03 d12 d21 d30 d43 d52 d61 d70]
+// ymm3  <- [d02 d13 d20 d31 d42 d53 d60 d71]
+// ymm4  <- []
+// ymm5  <- []
+// ymm6  <- []
+// ymm7  <- []
+// 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   <- B+4*k*sizeof(double)
+// ymm0  <- [d00 d11 d22 d33 d40 d51 d62 d73]
+// ymm1  <- [d01 d10 d23 d32 d41 d50 d63 d72]
+// ymm2  <- [d03 d12 d21 d30 d43 d52 d61 d70]
+// ymm3  <- [d02 d13 d20 d31 d42 d53 d60 d71]
+// ymm4  <- []
+// ymm5  <- []
+// ymm6  <- []
+// ymm7  <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=2
+	.macro INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_kernel_gemm_add_nt_8x8_lib8, @function
+inner_kernel_gemm_add_nt_8x8_lib8:
+#elif defined(OS_MAC)
+_inner_kernel_gemm_add_nt_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_kernel_gemm_add_nt_8x8_lib8; .scl 2; .type 32; .endef
+inner_kernel_gemm_add_nt_8x8_lib8:
+#endif
+#endif
+	
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// preload
+	vbroadcastf128	0(%r12), %ymm14 // B
+	vmovaps			0(%r11), %ymm12 // A
+	vbroadcastf128	16(%r12), %ymm15 // B
+	vmovaps			32(%r11), %ymm13 // A
+
+	cmpl	$4, %r10d
+	jle		0f // consider clean-up loop
+
+	// main loop
+	.p2align 3
+1: // main loop
+	
+	// unroll 0
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14 // 10 11 00 01
+	vaddps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14 // 01 00 11 10
+	vaddps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14 // 10 11 00 01
+	vaddps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vbroadcastf128	32(%r12), %ymm14 // B
+	vaddps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vbroadcastf128	48(%r12), %ymm15 // B
+	vaddps			%ymm11, %ymm7, %ymm7
+	vmovaps			64(%r11), %ymm12 // A
+
+
+	// unroll 1
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vbroadcastf128	64(%r12), %ymm14 // B
+	vaddps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vbroadcastf128	80(%r12), %ymm15 // B
+	vaddps			%ymm11, %ymm7, %ymm7
+	vmovaps			96(%r11), %ymm13 // A
+
+
+	// unroll 2
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vbroadcastf128	96(%r12), %ymm14 // B
+	vaddps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vbroadcastf128	112(%r12), %ymm15 // B
+	vaddps			%ymm11, %ymm7, %ymm7
+	vmovaps			128(%r11), %ymm12 // A
+
+	subl	$4, %r10d
+	addq	$128, %r11
+	addq	$128, %r12
+
+	// unroll 3
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vbroadcastf128	0(%r12), %ymm14 // B
+	vaddps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vbroadcastf128	16(%r12), %ymm15 // B
+	vaddps			%ymm11, %ymm7, %ymm7
+	vmovaps			32(%r11), %ymm13 // A
+
+	cmpl	$4, %r10d
+	jg		1b // main loop 
+
+
+0: // consider clean4-up
+	
+	cmpl	$3, %r10d
+	jle		4f // clean1
+
+
+	// unroll 0
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vbroadcastf128	32(%r12), %ymm14 // B
+	vaddps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vbroadcastf128	48(%r12), %ymm15 // B
+	vaddps			%ymm11, %ymm7, %ymm7
+	vmovaps			64(%r11), %ymm12 // A
+
+
+	// unroll 1
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vbroadcastf128	64(%r12), %ymm14 // B
+	vaddps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vbroadcastf128	80(%r12), %ymm15 // B
+	vaddps			%ymm11, %ymm7, %ymm7
+	vmovaps			96(%r11), %ymm13 // A
+
+
+	// unroll 2
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vbroadcastf128	96(%r12), %ymm14 // B
+	vaddps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vbroadcastf128	112(%r12), %ymm15 // B
+	vaddps			%ymm11, %ymm7, %ymm7
+//	vmovaps			128(%r11), %ymm12 // A
+
+	subl	$4, %r10d
+	addq	$128, %r11
+	addq	$128, %r12
+
+	// unroll 3
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vaddps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm13, %ymm14, %ymm11
+//	vbroadcastf128	0(%r12), %ymm14 // B
+	vaddps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vaddps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm13, %ymm15, %ymm11
+//	vbroadcastf128	16(%r12), %ymm15 // B
+	vaddps			%ymm11, %ymm7, %ymm7
+//	vmovaps			32(%r11), %ymm13 // A
+
+
+//	cmpl	$4, %r10d
+	jmp		2f // return
+
+
+4: // consider clean1-up loop
+
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// clean-up loop
+3: // clean up loop
+	
+	// unroll 0
+	vbroadcastf128	0(%r12), %ymm14 // B
+	vmovaps			0(%r11), %ymm12 // A
+	vmulps			%ymm12, %ymm14, %ymm11
+	vaddps			%ymm11, %ymm0, %ymm0
+
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vaddps			%ymm11, %ymm1, %ymm1
+
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vaddps			%ymm11, %ymm2, %ymm2
+
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vaddps			%ymm11, %ymm3, %ymm3
+
+	vbroadcastf128	16(%r12), %ymm14 // B
+	vmulps			%ymm12, %ymm14, %ymm11
+	vaddps			%ymm11, %ymm4, %ymm4
+
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vaddps			%ymm11, %ymm5, %ymm5
+
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vaddps			%ymm11, %ymm6, %ymm6
+
+	subl	$1, %r10d
+	addq	$32, %r11
+	addq	$32, %r12
+
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vaddps			%ymm11, %ymm7, %ymm7
+
+	cmpl	$0, %r10d
+	jg		3b // clean up loop 
+
+
+2: // return
+
+#if MACRO_LEVEL>=2
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_kernel_gemm_add_nt_8x8_lib8, .-inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// input arguments:
+// r10d   <- k
+// r11   <- A
+// r12   <- B
+// ymm0  <- [d00 d11 d22 d33 d40 d51 d62 d73]
+// ymm1  <- [d01 d10 d23 d32 d41 d50 d63 d72]
+// ymm2  <- [d03 d12 d21 d30 d43 d52 d61 d70]
+// ymm3  <- [d02 d13 d20 d31 d42 d53 d60 d71]
+// ymm4  <- []
+// ymm5  <- []
+// ymm6  <- []
+// ymm7  <- []
+// 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   <- B+4*k*sizeof(double)
+// ymm0  <- [d00 d11 d22 d33 d40 d51 d62 d73]
+// ymm1  <- [d01 d10 d23 d32 d41 d50 d63 d72]
+// ymm2  <- [d03 d12 d21 d30 d43 d52 d61 d70]
+// ymm3  <- [d02 d13 d20 d31 d42 d53 d60 d71]
+// ymm4  <- []
+// ymm5  <- []
+// ymm6  <- []
+// ymm7  <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=2
+	.macro INNER_KERNEL_GEMM_SUB_NT_8X8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_kernel_gemm_sub_nt_8x8_lib8, @function
+inner_kernel_gemm_sub_nt_8x8_lib8:
+#elif defined(OS_MAC)
+_inner_kernel_gemm_sub_nt_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_kernel_gemm_sub_nt_8x8_lib8; .scl 2; .type 32; .endef
+inner_kernel_gemm_sub_nt_8x8_lib8:
+#endif
+#endif
+	
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// preload
+	vbroadcastf128	0(%r12), %ymm14 // B
+	vmovaps			0(%r11), %ymm12 // A
+	vbroadcastf128	16(%r12), %ymm15 // B
+	vmovaps			32(%r11), %ymm13 // A
+
+	cmpl	$4, %r10d
+	jle		0f // consider clean-up loop
+
+	// main loop
+	.p2align 3
+1: // main loop
+	
+	// unroll 0
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14 // 10 11 00 01
+	vsubps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14 // 01 00 11 10
+	vsubps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14 // 10 11 00 01
+	vsubps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vbroadcastf128	32(%r12), %ymm14 // B
+	vsubps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vbroadcastf128	48(%r12), %ymm15 // B
+	vsubps			%ymm11, %ymm7, %ymm7
+	vmovaps			64(%r11), %ymm12 // A
+
+
+	// unroll 1
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vbroadcastf128	64(%r12), %ymm14 // B
+	vsubps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vbroadcastf128	80(%r12), %ymm15 // B
+	vsubps			%ymm11, %ymm7, %ymm7
+	vmovaps			96(%r11), %ymm13 // A
+
+
+	// unroll 2
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vbroadcastf128	96(%r12), %ymm14 // B
+	vsubps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vbroadcastf128	112(%r12), %ymm15 // B
+	vsubps			%ymm11, %ymm7, %ymm7
+	vmovaps			128(%r11), %ymm12 // A
+
+	subl	$4, %r10d
+	addq	$128, %r11
+	addq	$128, %r12
+
+	// unroll 3
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vbroadcastf128	0(%r12), %ymm14 // B
+	vsubps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vbroadcastf128	16(%r12), %ymm15 // B
+	vsubps			%ymm11, %ymm7, %ymm7
+	vmovaps			32(%r11), %ymm13 // A
+
+	cmpl	$4, %r10d
+	jg		1b // main loop 
+
+
+0: // consider clean4-up
+	
+	cmpl	$3, %r10d
+	jle		4f // clean1
+
+
+	// unroll 0
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vbroadcastf128	32(%r12), %ymm14 // B
+	vsubps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vbroadcastf128	48(%r12), %ymm15 // B
+	vsubps			%ymm11, %ymm7, %ymm7
+	vmovaps			64(%r11), %ymm12 // A
+
+
+	// unroll 1
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vbroadcastf128	64(%r12), %ymm14 // B
+	vsubps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vbroadcastf128	80(%r12), %ymm15 // B
+	vsubps			%ymm11, %ymm7, %ymm7
+	vmovaps			96(%r11), %ymm13 // A
+
+
+	// unroll 2
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm12, %ymm14, %ymm11
+	vbroadcastf128	96(%r12), %ymm14 // B
+	vsubps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm12, %ymm15, %ymm11
+	vbroadcastf128	112(%r12), %ymm15 // B
+	vsubps			%ymm11, %ymm7, %ymm7
+//	vmovaps			128(%r11), %ymm12 // A
+
+	subl	$4, %r10d
+	addq	$128, %r11
+	addq	$128, %r12
+
+	// unroll 3
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm0, %ymm0
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm1, %ymm1
+
+	vmulps			%ymm13, %ymm14, %ymm11
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vsubps			%ymm11, %ymm2, %ymm2
+
+	vmulps			%ymm13, %ymm14, %ymm11
+//	vbroadcastf128	0(%r12), %ymm14 // B
+	vsubps			%ymm11, %ymm3, %ymm3
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm4, %ymm4
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0x4e, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm5, %ymm5
+
+	vmulps			%ymm13, %ymm15, %ymm11
+	vshufps			$0xb1, %ymm15, %ymm15, %ymm15
+	vsubps			%ymm11, %ymm6, %ymm6
+
+	vmulps			%ymm13, %ymm15, %ymm11
+//	vbroadcastf128	16(%r12), %ymm15 // B
+	vsubps			%ymm11, %ymm7, %ymm7
+//	vmovaps			32(%r11), %ymm13 // A
+
+
+//	cmpl	$4, %r10d
+	jmp		2f // return
+
+
+4: // consider clean1-up loop
+
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// clean-up loop
+3: // clean up loop
+	
+	// unroll 0
+	vbroadcastf128	0(%r12), %ymm14 // B
+	vmovaps			0(%r11), %ymm12 // A
+	vmulps			%ymm12, %ymm14, %ymm11
+	vsubps			%ymm11, %ymm0, %ymm0
+
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vsubps			%ymm11, %ymm1, %ymm1
+
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vsubps			%ymm11, %ymm2, %ymm2
+
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vsubps			%ymm11, %ymm3, %ymm3
+
+	vbroadcastf128	16(%r12), %ymm14 // B
+	vmulps			%ymm12, %ymm14, %ymm11
+	vsubps			%ymm11, %ymm4, %ymm4
+
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vsubps			%ymm11, %ymm5, %ymm5
+
+	vshufps			$0x4e, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vsubps			%ymm11, %ymm6, %ymm6
+
+	subl	$1, %r10d
+	addq	$32, %r11
+	addq	$32, %r12
+
+	vshufps			$0xb1, %ymm14, %ymm14, %ymm14
+	vmulps			%ymm12, %ymm14, %ymm11
+	vsubps			%ymm11, %ymm7, %ymm7
+
+	cmpl	$0, %r10d
+	jg		3b // clean up loop 
+
+
+2: // return
+
+#if MACRO_LEVEL>=2
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_kernel_gemm_sub_nt_8x8_lib8, .-inner_kernel_gemm_sub_nt_8x8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// input arguments:
+// r10d  <- k
+// r11   <- A
+// r12   <- B
+// r13   <- 4*sdb*sizeof(double)
+// r14   <= dirty
+// ymm0  <- []
+// ymm1  <- []
+// ymm2  <- []
+// ymm3  <- []
+// 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   <- B+(k/4)*sdb*sizeof(double)+(k%4)
+// r13   <- 4*sdb*sizeof(double)
+// r14   <= dirty
+// ymm0  <- []
+// ymm1  <- []
+// ymm2  <- []
+// ymm3  <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=2
+	.macro INNER_KERNEL_GEMM_ADD_NN_8X8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_kernel_gemm_add_nn_8x8_lib8, @function
+inner_kernel_gemm_add_nn_8x8_lib8:
+#elif defined(OS_MAC)
+_inner_kernel_gemm_add_nn_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_kernel_gemm_add_nn_8x8_lib8; .scl 2; .type 32; .endef
+inner_kernel_gemm_add_nn_8x8_lib8:
+#endif
+#endif
+	
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	movq	%r12, %r14 // B_next <- B
+	addq	%r13, %r14 // B_next <- B + 4*sda*sizeof(double)
+
+	cmpl	$8, %r10d
+	jl		0f // consider clean-up loop
+
+	// main loop
+	.p2align 3
+1: // main loop
+	
+	prefetcht0	0(%r14) // software prefetch
+	prefetcht0	64(%r14) // software prefetch
+	prefetcht0	128(%r14) // software prefetch
+	prefetcht0	192(%r14) // software prefetch
+
+	// unroll 0
+	vmovaps			0(%r11), %ymm12 // A[0]
+	vbroadcastss	0(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	32(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	64(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	96(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	128(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	160(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	192(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	224(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+
+	// unroll 1
+	vmovaps			32(%r11), %ymm12 // A[0]
+	vbroadcastss	4(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	36(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	68(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	100(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	132(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	164(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	196(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	228(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+
+	// unroll 2
+	vmovaps			64(%r11), %ymm12 // A[0]
+	vbroadcastss	8(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	40(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	72(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	104(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	136(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	168(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	200(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	232(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+
+	// unroll 3
+	vmovaps			96(%r11), %ymm12 // A[0]
+	vbroadcastss	12(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	44(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	76(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	108(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	140(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	172(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	204(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	236(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+
+	// unroll 4
+	vmovaps			128(%r11), %ymm12 // A[0]
+	vbroadcastss	16(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	48(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	80(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	112(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	144(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	176(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	208(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	240(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+
+	// unroll 5
+	vmovaps			160(%r11), %ymm12 // A[0]
+	vbroadcastss	20(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	52(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	84(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	116(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	148(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	180(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	212(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	244(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+
+	// unroll 6
+	vmovaps			192(%r11), %ymm12 // A[0]
+	vbroadcastss	24(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	56(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	88(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	120(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	152(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	184(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	216(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	248(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+
+	// unroll 7
+	vmovaps			224(%r11), %ymm12 // A[0]
+	vbroadcastss	28(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	60(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	92(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	124(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	156(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	188(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	220(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	252(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+	subl	$8, %r10d
+	addq	$256, %r11
+
+	mov		%r14, %r12
+	addq	%r13, %r14
+
+	cmpl	$7, %r10d
+	jg		1b // main loop 
+
+
+0: // consider clean1-up loop
+	
+	cmpl	$0, %r10d
+	jle		2f // return
+
+3: // clean1-up loop
+	
+	// unroll 0
+	vmovaps			0(%r11), %ymm12 // A[0]
+	vbroadcastss	0(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	32(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	64(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	96(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	128(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	160(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	192(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	224(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+	subl	$1, %r10d
+	addq	$32, %r11
+	addq	$4, %r12
+
+	cmpl	$0, %r10d
+	jg		3b // clean up loop 
+
+
+2: // return
+
+#if MACRO_LEVEL>=2
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_kernel_gemm_add_nn_8x8_lib8, .-inner_kernel_gemm_add_nn_8x8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// edge for B unaligned
+//
+// input arguments:
+// r10   <- k
+// r11   <- A
+// r12   <- B
+// r13   <- bs*sdb*sizeof(double)
+// r14   <- offB
+// ymm0  <- []
+// ymm1  <- []
+// ymm2  <- []
+// ymm3  <- []
+// ymm8  <- dirty
+// ymm12 <- dirty
+// ymm15 <- dirty
+
+//
+// output arguments:
+// r10   <- k-(4-offB)
+// r11   <- A+(4-offB)*bs*sizeof(double)
+// r12   <- B-offB+bs*sdb*sizeof(double)
+// r13   <- bs*sdb*sizeof(double)
+// r14   <- offB
+// ymm0  <- []
+// ymm1  <- []
+// ymm2  <- []
+// ymm3  <- []
+// ymm8  <- dirty
+// ymm12 <- dirty
+// ymm15 <- dirty
+
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_GEMM_ADD_NN_8X8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_gemm_add_nn_8x8_lib8, @function
+inner_edge_gemm_add_nn_8x8_lib8:
+#elif defined(OS_MAC)
+_inner_edge_gemm_add_nn_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_gemm_add_nn_8x8_lib8; .scl 2; .type 32; .endef
+inner_edge_gemm_add_nn_8x8_lib8:
+#endif
+#endif
+	
+	cmpl			$0, %r14d // offset==0
+	jle				2f // end
+
+	cmpl			$0, %r10d // k==0
+	jle				2f // end
+
+	movl			$8, %ebx
+	subl			%r14d, %ebx // 8-offsetB
+	cmpl			%r10d, %ebx
+//	jle				0f
+//	movl			%r10d, %ebx // kend=min(k,8-offsetB)
+//0:
+	cmovgl			%r10d, %ebx // kend=min(k,8-offsetB)
+
+	movl			%r14d, %eax
+	sall			$2, %eax // offsetB*sizeof(float)
+	addq			%rax, %r12 // B+offsetB*sizeof(float)
+
+	// unroll 0
+	vmovaps			0(%r11), %ymm12 // A[0]
+	vbroadcastss	0(%r12), %ymm13 // B[0]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm0, %ymm0
+	vbroadcastss	32(%r12), %ymm13 // B[1]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm1, %ymm1
+	vbroadcastss	64(%r12), %ymm13 // B[2]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm2, %ymm2
+	vbroadcastss	96(%r12), %ymm13 // B[3]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm3, %ymm3
+	vbroadcastss	128(%r12), %ymm13 // B[4]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm4, %ymm4
+	vbroadcastss	160(%r12), %ymm13 // B[5]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm5, %ymm5
+	vbroadcastss	192(%r12), %ymm13 // B[6]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm6, %ymm6
+	vbroadcastss	224(%r12), %ymm13 // B[7]
+	vmulps			%ymm12, %ymm13, %ymm15
+	vaddps			%ymm15, %ymm7, %ymm7
+
+	subl			$1, %r10d // k-1
+	subl			$1, %ebx // kend-1
+	addq			$32, %r11 // A+1*bs*sizeof(float)
+	addq			$4, %r12 // B+1*sizeof(float)
+
+	cmpl			$0, %ebx
+	jg				1b
+
+	cmpl			$0, %r10d
+	jle				2f // end
+
+	addq			%r13, %r12
+	subq			$32, %r12 // B+bs*(sdb-1)*sizeof(float)
+
+2:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_gemm_add_nn_8x8_lib8, .-inner_edge_gemm_add_nn_8x8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// strsm
+// right
+// lower
+// transposed
+// not-unit
+//
+// input arguments:
+// r10  <- D
+// r11  <- inv_diag_D
+// r12d <- kn
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10  <- D
+// r11  <- inv_diag_D
+// r12d <- kn
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_TRSM_RLT_INV_8X8_VS_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_trsm_rlt_inv_8x8_vs_lib8, @function
+inner_edge_trsm_rlt_inv_8x8_vs_lib8:
+#elif defined(OS_MAC)
+_inner_edge_trsm_rlt_inv_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_trsm_rlt_inv_8x8_vs_lib8; .scl 2; .type 32; .endef
+inner_edge_trsm_rlt_inv_8x8_vs_lib8:
+#endif
+#endif
+
+	vbroadcastss	0(%r11), %ymm13
+	vmulps			%ymm0, %ymm13, %ymm0
+	vbroadcastss	4(%r10), %ymm13
+	vmulps			%ymm0, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm1, %ymm1
+	vbroadcastss	8(%r10), %ymm13
+	vmulps			%ymm0, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm2, %ymm2
+	vbroadcastss	12(%r10), %ymm13
+	vmulps			%ymm0, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm3, %ymm3
+	vbroadcastss	16(%r10), %ymm13
+	vmulps			%ymm0, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm4, %ymm4
+	vbroadcastss	20(%r10), %ymm13
+	vmulps			%ymm0, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm5, %ymm5
+	vbroadcastss	24(%r10), %ymm13
+	vmulps			%ymm0, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm6, %ymm6
+	vbroadcastss	28(%r10), %ymm13
+	vmulps			%ymm0, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm7, %ymm7
+
+	vbroadcastss	4(%r11), %ymm13
+	vmulps			%ymm1, %ymm13, %ymm1
+	vbroadcastss	40(%r10), %ymm13
+	vmulps			%ymm1, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm2, %ymm2
+	vbroadcastss	44(%r10), %ymm13
+	vmulps			%ymm1, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm3, %ymm3
+	vbroadcastss	48(%r10), %ymm13
+	vmulps			%ymm1, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm4, %ymm4
+	vbroadcastss	52(%r10), %ymm13
+	vmulps			%ymm1, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm5, %ymm5
+	vbroadcastss	56(%r10), %ymm13
+	vmulps			%ymm1, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm6, %ymm6
+	vbroadcastss	60(%r10), %ymm13
+	vmulps			%ymm1, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm7, %ymm7
+
+	vbroadcastss	8(%r11), %ymm13
+	vmulps			%ymm2, %ymm13, %ymm2
+	vbroadcastss	76(%r10), %ymm13
+	vmulps			%ymm2, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm3, %ymm3
+	vbroadcastss	80(%r10), %ymm13
+	vmulps			%ymm2, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm4, %ymm4
+	vbroadcastss	84(%r10), %ymm13
+	vmulps			%ymm2, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm5, %ymm5
+	vbroadcastss	88(%r10), %ymm13
+	vmulps			%ymm2, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm6, %ymm6
+	vbroadcastss	92(%r10), %ymm13
+	vmulps			%ymm2, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm7, %ymm7
+
+	vbroadcastss	12(%r11), %ymm13
+	vmulps			%ymm3, %ymm13, %ymm3
+	vbroadcastss	112(%r10), %ymm13
+	vmulps			%ymm3, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm4, %ymm4
+	vbroadcastss	116(%r10), %ymm13
+	vmulps			%ymm3, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm5, %ymm5
+	vbroadcastss	120(%r10), %ymm13
+	vmulps			%ymm3, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm6, %ymm6
+	vbroadcastss	124(%r10), %ymm13
+	vmulps			%ymm3, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm7, %ymm7
+
+	vbroadcastss	16(%r11), %ymm13
+	vmulps			%ymm4, %ymm13, %ymm4
+	cmpl			$6, %r12d
+	jl				0f // ret
+	vbroadcastss	148(%r10), %ymm13
+	vmulps			%ymm4, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm5, %ymm5
+	vbroadcastss	152(%r10), %ymm13
+	vmulps			%ymm4, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm6, %ymm6
+	vbroadcastss	156(%r10), %ymm13
+	vmulps			%ymm4, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm7, %ymm7
+
+	vbroadcastss	20(%r11), %ymm13
+	vmulps			%ymm5, %ymm13, %ymm5
+	cmpl			$7, %r12d
+	jl				0f // ret
+	vbroadcastss	184(%r10), %ymm13
+	vmulps			%ymm5, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm6, %ymm6
+	vbroadcastss	188(%r10), %ymm13
+	vmulps			%ymm5, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm7, %ymm7
+
+	vbroadcastss	24(%r11), %ymm13
+	vmulps			%ymm6, %ymm13, %ymm6
+	cmpl			$8, %r12d
+	jl				0f // ret
+	vbroadcastss	220(%r10), %ymm13
+	vmulps			%ymm6, %ymm13, %ymm12
+	vsubps			%ymm12, %ymm7, %ymm7
+
+	vbroadcastss	28(%r11), %ymm13
+	vmulps			%ymm7, %ymm13, %ymm7
+
+0:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_trsm_rlt_inv_8x8_vs_lib8, .-inner_edge_trsm_rlt_inv_8x8_vs_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// cholesky factorization 
+//
+// input arguments:
+// r10  <- inv_diag_E
+// r11d <- kn
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10  <- inv_diag_E
+// r11d <- kn
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm12 <- dirty
+// ymm13 <- dirty
+// ymm14 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_POTRF_8X8_VS_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_potrf_8x8_vs_lib8, @function
+inner_edge_potrf_8x8_vs_lib8:
+#elif defined(OS_MAC)
+_inner_edge_potrf_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_potrf_8x8_vs_lib8; .scl 2; .type 32; .endef
+inner_edge_potrf_8x8_vs_lib8:
+#endif
+#endif
+
+	vxorps	%ymm15, %ymm15, %ymm15 // 0.0
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	vmovss	.LC03(%rip), %xmm14 // 1.0
+#elif defined(OS_MAC)
+	vmovss	LC03(%rip), %xmm14 // 1.0
+#endif
+
+	vmovss		%xmm0, %xmm0, %xmm13
+	vucomiss	%xmm15, %xmm13 // d_00 > 0.0 ?
+	jbe			1f
+	vsqrtss		%xmm13, %xmm13, %xmm13
+	vdivss		%xmm13, %xmm14, %xmm13
+2:
+	vmovss		%xmm13, 0(%r10)
+	vpermilps	$0x00, %xmm13, %xmm13
+	vinsertf128	$0x1, %xmm13, %ymm13, %ymm13
+	vmulps		%ymm0, %ymm13, %ymm0
+	vperm2f128	$0x00, %ymm0, %ymm0, %ymm11
+	vpermilps	$0x55, %ymm11, %ymm13
+	vmulps		%ymm0, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm1, %ymm1
+	vpermilps	$0xaa, %ymm11, %ymm13
+	vmulps		%ymm0, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm2, %ymm2
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm0, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm3, %ymm3
+	vperm2f128	$0x11, %ymm0, %ymm0, %ymm11
+	vpermilps	$0x00, %ymm11, %ymm13
+	vmulps		%ymm0, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm4, %ymm4
+	vpermilps	$0x55, %ymm11, %ymm13
+	vmulps		%ymm0, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm5, %ymm5
+	vpermilps	$0xaa, %ymm11, %ymm13
+	vmulps		%ymm0, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm6, %ymm6
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm0, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm7, %ymm7
+
+
+	vpermilps	$0x55, %xmm1, %xmm13
+	vucomiss	%xmm15, %xmm13 // d_11 > 0.0 ?
+	jbe			3f
+	vsqrtss		%xmm13, %xmm13, %xmm13
+	vdivss		%xmm13, %xmm14, %xmm13
+4:
+	vmovss		%xmm13, 4(%r10)
+	vpermilps	$0x00, %xmm13, %xmm13
+	vinsertf128	$0x1, %xmm13, %ymm13, %ymm13
+	vmulps		%ymm1, %ymm13, %ymm1
+	vperm2f128	$0x00, %ymm1, %ymm1, %ymm11
+	vpermilps	$0xaa, %ymm11, %ymm13
+	vmulps		%ymm1, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm2, %ymm2
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm1, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm3, %ymm3
+	vperm2f128	$0x11, %ymm1, %ymm1, %ymm11
+	vpermilps	$0x00, %ymm11, %ymm13
+	vmulps		%ymm1, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm4, %ymm4
+	vpermilps	$0x55, %ymm11, %ymm13
+	vmulps		%ymm1, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm5, %ymm5
+	vpermilps	$0xaa, %ymm11, %ymm13
+	vmulps		%ymm1, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm6, %ymm6
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm1, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm7, %ymm7
+
+
+	vpermilps	$0xaa, %xmm2, %xmm13
+	vucomiss	%xmm15, %xmm13 // d_22 > 0.0 ?
+	jbe			5f
+	vsqrtss		%xmm13, %xmm13, %xmm13
+	vdivss		%xmm13, %xmm14, %xmm13
+6:
+	vmovss		%xmm13, 8(%r10)
+	vpermilps	$0x00, %xmm13, %xmm13
+	vinsertf128	$0x1, %xmm13, %ymm13, %ymm13
+	vmulps		%ymm2, %ymm13, %ymm2
+	vperm2f128	$0x00, %ymm2, %ymm2, %ymm11
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm2, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm3, %ymm3
+	vperm2f128	$0x11, %ymm2, %ymm2, %ymm11
+	vpermilps	$0x00, %ymm11, %ymm13
+	vmulps		%ymm2, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm4, %ymm4
+	vpermilps	$0x55, %ymm11, %ymm13
+	vmulps		%ymm2, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm5, %ymm5
+	vpermilps	$0xaa, %ymm11, %ymm13
+	vmulps		%ymm2, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm6, %ymm6
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm2, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm7, %ymm7
+
+
+	vpermilps	$0xff, %xmm3, %xmm13
+	vucomiss	%xmm15, %xmm13 // d_33 > 0.0 ?
+	jbe			7f
+	vsqrtss		%xmm13, %xmm13, %xmm13
+	vdivss		%xmm13, %xmm14, %xmm13
+8:
+	vmovsd		%xmm13, 12(%r10)
+	vpermilps	$0x00, %xmm13, %xmm13
+	vinsertf128	$0x1, %xmm13, %ymm13, %ymm13
+	vmulps		%ymm3, %ymm13, %ymm3
+	vperm2f128	$0x11, %ymm3, %ymm3, %ymm11
+	vpermilps	$0x00, %ymm11, %ymm13
+	vmulps		%ymm3, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm4, %ymm4
+	vpermilps	$0x55, %ymm11, %ymm13
+	vmulps		%ymm3, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm5, %ymm5
+	vpermilps	$0xaa, %ymm11, %ymm13
+	vmulps		%ymm3, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm6, %ymm6
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm3, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm7, %ymm7
+
+
+	vextractf128	$0x1, %ymm4, %xmm13
+//	vpermilps	$0x00, %xmm13, %xmm13
+	vucomiss	%xmm15, %xmm13 // d_33 > 0.0 ?
+	jbe			9f
+	vsqrtss		%xmm13, %xmm13, %xmm13
+	vdivss		%xmm13, %xmm14, %xmm13
+10:
+	vmovsd		%xmm13, 16(%r10)
+	vpermilps	$0x00, %xmm13, %xmm13
+	vinsertf128	$0x1, %xmm13, %ymm13, %ymm13
+	vmulps		%ymm4, %ymm13, %ymm4
+	cmpl		$6, %r11d
+	jl			0f // ret
+	vperm2f128	$0x11, %ymm4, %ymm4, %ymm11
+	vpermilps	$0x55, %ymm11, %ymm13
+	vmulps		%ymm4, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm5, %ymm5
+	vpermilps	$0xaa, %ymm11, %ymm13
+	vmulps		%ymm4, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm6, %ymm6
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm4, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm7, %ymm7
+
+
+	vextractf128	$0x1, %ymm5, %xmm13
+	vpermilps	$0x55, %xmm13, %xmm13
+	vucomiss	%xmm15, %xmm13 // d_33 > 0.0 ?
+	jbe			11f
+	vsqrtss		%xmm13, %xmm13, %xmm13
+	vdivss		%xmm13, %xmm14, %xmm13
+12:
+	vmovsd		%xmm13, 20(%r10)
+	vpermilps	$0x00, %xmm13, %xmm13
+	vinsertf128	$0x1, %xmm13, %ymm13, %ymm13
+	vmulps		%ymm5, %ymm13, %ymm5
+	cmpl		$7, %r11d
+	jl			0f // ret
+	vperm2f128	$0x11, %ymm5, %ymm5, %ymm11
+	vpermilps	$0xaa, %ymm11, %ymm13
+	vmulps		%ymm5, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm6, %ymm6
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm5, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm7, %ymm7
+
+
+	vextractf128	$0x1, %ymm6, %xmm13
+	vpermilps	$0xaa, %xmm13, %xmm13
+	vucomiss	%xmm15, %xmm13 // d_33 > 0.0 ?
+	jbe			13f
+	vsqrtss		%xmm13, %xmm13, %xmm13
+	vdivss		%xmm13, %xmm14, %xmm13
+14:
+	vmovsd		%xmm13, 24(%r10)
+	vpermilps	$0x00, %xmm13, %xmm13
+	vinsertf128	$0x1, %xmm13, %ymm13, %ymm13
+	vmulps		%ymm6, %ymm13, %ymm6
+	cmpl		$8, %r11d
+	jl			0f // ret
+	vperm2f128	$0x11, %ymm6, %ymm6, %ymm11
+	vpermilps	$0xff, %ymm11, %ymm13
+	vmulps		%ymm6, %ymm13, %ymm12
+	vsubps		%ymm12, %ymm7, %ymm7
+
+
+	vextractf128	$0x1, %ymm7, %xmm13
+	vpermilps	$0xff, %xmm13, %xmm13
+	vucomiss	%xmm15, %xmm13 // d_33 > 0.0 ?
+	jbe			15f
+	vsqrtss		%xmm13, %xmm13, %xmm13
+	vdivss		%xmm13, %xmm14, %xmm13
+16:
+	vmovsd		%xmm13, 28(%r10)
+	vpermilps	$0x00, %xmm13, %xmm13
+	vinsertf128	$0x1, %xmm13, %ymm13, %ymm13
+	vmulps		%ymm7, %ymm13, %ymm7
+
+
+	jmp		0f
+
+
+1:
+	vxorps	%ymm13, %ymm13, %ymm13
+	jmp		2b
+
+3:
+	vxorpd	%ymm13, %ymm13, %ymm13
+	jmp		4b
+
+5:
+	vxorpd	%ymm13, %ymm13, %ymm13
+	jmp		6b
+
+7:
+	vxorpd	%ymm13, %ymm13, %ymm13
+	jmp		8b
+
+9:
+	vxorpd	%ymm13, %ymm13, %ymm13
+	jmp		10b
+
+11:
+	vxorpd	%ymm13, %ymm13, %ymm13
+	jmp		12b
+
+13:
+	vxorpd	%ymm13, %ymm13, %ymm13
+	jmp		14b
+
+15:
+	vxorpd	%ymm13, %ymm13, %ymm13
+	jmp		16b
+
+0:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_potrf_8x8_vs_lib8, .-inner_edge_potrf_8x8_vs_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// scale for generic alpha and beta
+//
+// input arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12   <- C
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12   <- C
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_SCALE_AB_8X8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_scale_ab_8x8_lib8, @function
+inner_scale_ab_8x8_lib8:
+#elif defined(OS_MAC)
+_inner_scale_ab_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_scale_ab_8x8_lib8; .scl 2; .type 32; .endef
+inner_scale_ab_8x8_lib8:
+#endif
+#endif
+	
+	// alpha
+	vbroadcastss	0(%r10), %ymm11
+
+	vmulps		%ymm0, %ymm11, %ymm0
+	vmulps		%ymm1, %ymm11, %ymm1
+	vmulps		%ymm2, %ymm11, %ymm2
+	vmulps		%ymm3, %ymm11, %ymm3
+
+	vmulps		%ymm4, %ymm11, %ymm4
+	vmulps		%ymm5, %ymm11, %ymm5
+	vmulps		%ymm6, %ymm11, %ymm6
+	vmulps		%ymm7, %ymm11, %ymm7
+
+	// beta
+	vbroadcastss	0(%r11), %ymm14
+
+	vxorps		%ymm15, %ymm15, %ymm15 // 0.0
+
+	vucomiss	%xmm15, %xmm14 // beta==0.0 ?
+	je			0f // end
+
+	vmovaps		0(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm0, %ymm15, %ymm0
+	vmovaps		32(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm1, %ymm15, %ymm1
+	vmovaps		64(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm2, %ymm15, %ymm2
+	vmovaps		96(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm3, %ymm15, %ymm3
+	vmovaps		128(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm4, %ymm15, %ymm4
+	vmovaps		160(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm5, %ymm15, %ymm5
+	vmovaps		192(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm6, %ymm15, %ymm6
+	vmovaps		224(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm7, %ymm15, %ymm7
+
+0:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_scale_ab_8x8_lib8, .-inner_scale_ab_8x8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// scale for generic alpha and beta
+//
+// input arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12  <- offset
+// r13   <- C
+// r14  <- 4*sdc*sizeof(double)
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12  <- offset
+// r13   <- C
+// r14  <- 4*sdc*sizeof(double)
+// r15  <- n0 // col index: start from (inc)
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_SCALE_AB_8X8_GEN_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_scale_ab_8x8_gen_lib8, @function
+inner_scale_ab_8x8_gen_lib8:
+#elif defined(OS_MAC)
+_inner_scale_ab_8x8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_scale_ab_8x8_gen_lib8; .scl 2; .type 32; .endef
+inner_scale_ab_8x8_gen_lib8:
+#endif
+#endif
+	
+	// alpha
+	vbroadcastss	0(%r10), %ymm11
+
+	vmulps		%ymm0, %ymm11, %ymm0
+	vmulps		%ymm1, %ymm11, %ymm1
+	vmulps		%ymm2, %ymm11, %ymm2
+	vmulps		%ymm3, %ymm11, %ymm3
+
+	vmulps		%ymm4, %ymm11, %ymm4
+	vmulps		%ymm5, %ymm11, %ymm5
+	vmulps		%ymm6, %ymm11, %ymm6
+	vmulps		%ymm7, %ymm11, %ymm7
+
+	// beta
+	vbroadcastss	0(%r11), %ymm15
+
+	vxorps		%ymm14, %ymm14, %ymm14 // 0.0
+
+	vucomiss	%xmm15, %xmm14 // beta==0.0 ?
+	je			3f // end
+
+	cmpl	$0, %r12d
+	jg		0f
+
+	// offset==0
+
+	vmovaps		0(%r13), %ymm12
+	vmulps		%ymm12, %ymm15, %ymm12
+	vaddps		%ymm0, %ymm12, %ymm0
+	vmovaps		32(%r13), %ymm12
+	vmulps		%ymm12, %ymm15, %ymm12
+	vaddps		%ymm1, %ymm12, %ymm1
+	vmovaps		64(%r13), %ymm12
+	vmulps		%ymm12, %ymm15, %ymm12
+	vaddps		%ymm2, %ymm12, %ymm2
+	vmovaps		96(%r13), %ymm12
+	vmulps		%ymm12, %ymm15, %ymm12
+	vaddps		%ymm3, %ymm12, %ymm3
+	vmovaps		128(%r13), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm4, %ymm15, %ymm4
+	vmovaps		160(%r13), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm5, %ymm15, %ymm5
+	vmovaps		192(%r13), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm6, %ymm15, %ymm6
+	vmovaps		224(%r13), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm7, %ymm15, %ymm7
+
+	jmp		7f
+
+0:
+
+	// offset > 0
+	// 1 2 3 4 5 6 7
+	
+	movq	%r13, %r15 // C0
+	addq	%r14, %r15 // C1 <- C0 + 4*sdc*sizeof(double)
+
+	cmpl	$4, %r10d
+	jl		1f
+	jg		2f
+
+	// offset==4
+	// TODO
+	jmp		7f
+
+1:
+	// 1 2 3
+
+	cmpl	$2, %r10d
+	jl		3f
+	jg		4f
+
+	// offset==2
+	// TODO
+	jmp		7f
+
+3:
+	// offset==1
+	// TODO
+	jmp		7f
+
+4:
+	// offset==3
+	// TODO
+	jmp		7f
+
+2:
+	// 5 6 7
+
+	cmpl	$6, %r10d
+	jl		5f
+	jg		6f
+
+	// offset==6
+	// TODO
+	jmp		7f
+
+5:
+	// offset==5
+	// TODO
+	jmp		7f
+
+6:
+	// offset==7
+	// TODO
+	jmp		7f
+
+	// end
+7:
+
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_scale_ab_8x8_gen_lib8, .-inner_scale_ab_8x8_gen_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// blend for generic alpha and beta
+//
+// input arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12   <- C
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12   <- C
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_BLEND_SCALE_AB_8X8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_scale_ab_8x8_lib8, @function
+inner_blend_scale_ab_8x8_lib8:
+#elif defined(OS_MAC)
+_inner_blend_scale_ab_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_scale_ab_8x8_lib8; .scl 2; .type 32; .endef
+inner_blend_scale_ab_8x8_lib8:
+#endif
+#endif
+	
+	// alpha
+	vbroadcastss	0(%r10), %ymm11
+
+	vblendps	$0xaa, %ymm1, %ymm0, %ymm12 // 1010 1010
+	vblendps	$0x55, %ymm1, %ymm0, %ymm13 // 0101 0101
+	vblendps	$0xaa, %ymm3, %ymm2, %ymm14
+	vblendps	$0x55, %ymm3, %ymm2, %ymm15
+
+	vblendps	$0xcc, %ymm15, %ymm12, %ymm0 // 1100 1100
+	vblendps	$0x33, %ymm15, %ymm12, %ymm2 // 0011 0011
+	vblendps	$0xcc, %ymm14, %ymm13, %ymm1
+	vblendps	$0x33, %ymm14, %ymm13, %ymm3
+
+	vmulps		%ymm0, %ymm11, %ymm0
+	vmulps		%ymm1, %ymm11, %ymm1
+	vmulps		%ymm2, %ymm11, %ymm2
+	vmulps		%ymm3, %ymm11, %ymm3
+
+	vblendps	$0xaa, %ymm5, %ymm4, %ymm12
+	vblendps	$0x55, %ymm5, %ymm4, %ymm13
+	vblendps	$0xaa, %ymm7, %ymm6, %ymm14
+	vblendps	$0x55, %ymm7, %ymm6, %ymm15
+
+	vblendps	$0xcc, %ymm15, %ymm12, %ymm4
+	vblendps	$0x33, %ymm15, %ymm12, %ymm6
+	vblendps	$0xcc, %ymm14, %ymm13, %ymm5
+	vblendps	$0x33, %ymm14, %ymm13, %ymm7
+
+	vmulps		%ymm4, %ymm11, %ymm4
+	vmulps		%ymm5, %ymm11, %ymm5
+	vmulps		%ymm6, %ymm11, %ymm6
+	vmulps		%ymm7, %ymm11, %ymm7
+
+	// beta
+	vbroadcastss	0(%r11), %ymm14
+
+	vxorps		%ymm15, %ymm15, %ymm15 // 0.0
+
+	vucomiss	%xmm15, %xmm14 // beta==0.0 ?
+	je			0f // end
+
+	vmovaps		0(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm0, %ymm15, %ymm0
+	vmovaps		32(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm1, %ymm15, %ymm1
+	vmovaps		64(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm2, %ymm15, %ymm2
+	vmovaps		96(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm3, %ymm15, %ymm3
+	vmovaps		128(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm4, %ymm15, %ymm4
+	vmovaps		160(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm5, %ymm15, %ymm5
+	vmovaps		192(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm6, %ymm15, %ymm6
+	vmovaps		224(%r12), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm7, %ymm15, %ymm7
+
+0:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_blend_scale_ab_8x8_lib8, .-inner_blend_scale_ab_8x8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// blend scale for generic alpha and beta
+//
+// input arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12  <- offset
+// r13   <- C
+// r14  <- 4*sdc*sizeof(double)
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12  <- offset
+// r13   <- C
+// r14  <- 4*sdc*sizeof(double)
+// r15  <- n0 // col index: start from (inc)
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_BLEND_SCALE_AB_8X8_GEN_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_scale_ab_8x8_gen_lib8, @function
+inner_blend_scale_ab_8x8_gen_lib8:
+#elif defined(OS_MAC)
+_inner_blend_scale_ab_8x8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_scale_ab_8x8_gen_lib8; .scl 2; .type 32; .endef
+inner_blend_scale_ab_8x8_gen_lib8:
+#endif
+#endif
+	
+	// alpha
+	vbroadcastss	0(%r10), %ymm11
+
+	vblendps	$0xaa, %ymm1, %ymm0, %ymm12 // 1010 1010
+	vblendps	$0x55, %ymm1, %ymm0, %ymm13 // 0101 0101
+	vblendps	$0xaa, %ymm3, %ymm2, %ymm14
+	vblendps	$0x55, %ymm3, %ymm2, %ymm15
+
+	vblendps	$0xcc, %ymm15, %ymm12, %ymm0 // 1100 1100
+	vblendps	$0x33, %ymm15, %ymm12, %ymm2 // 0011 0011
+	vblendps	$0xcc, %ymm14, %ymm13, %ymm1
+	vblendps	$0x33, %ymm14, %ymm13, %ymm3
+
+	vmulps		%ymm0, %ymm11, %ymm0
+	vmulps		%ymm1, %ymm11, %ymm1
+	vmulps		%ymm2, %ymm11, %ymm2
+	vmulps		%ymm3, %ymm11, %ymm3
+
+	vblendps	$0xaa, %ymm5, %ymm4, %ymm12
+	vblendps	$0x55, %ymm5, %ymm4, %ymm13
+	vblendps	$0xaa, %ymm7, %ymm6, %ymm14
+	vblendps	$0x55, %ymm7, %ymm6, %ymm15
+
+	vblendps	$0xcc, %ymm15, %ymm12, %ymm4
+	vblendps	$0x33, %ymm15, %ymm12, %ymm6
+	vblendps	$0xcc, %ymm14, %ymm13, %ymm5
+	vblendps	$0x33, %ymm14, %ymm13, %ymm7
+
+	vmulps		%ymm4, %ymm11, %ymm4
+	vmulps		%ymm5, %ymm11, %ymm5
+	vmulps		%ymm6, %ymm11, %ymm6
+	vmulps		%ymm7, %ymm11, %ymm7
+
+	// beta
+	vbroadcastss	0(%r11), %ymm15
+
+	vxorps		%ymm14, %ymm14, %ymm14 // 0.0
+
+	vucomiss	%xmm15, %xmm14 // beta==0.0 ?
+	je			3f // end
+
+	cmpl	$0, %r12d
+	jg		0f
+
+	// offset==0
+
+	vmovaps		0(%r13), %ymm12
+	vmulps		%ymm12, %ymm15, %ymm12
+	vaddps		%ymm0, %ymm12, %ymm0
+	vmovaps		32(%r13), %ymm12
+	vmulps		%ymm12, %ymm15, %ymm12
+	vaddps		%ymm1, %ymm12, %ymm1
+	vmovaps		64(%r13), %ymm12
+	vmulps		%ymm12, %ymm15, %ymm12
+	vaddps		%ymm2, %ymm12, %ymm2
+	vmovaps		96(%r13), %ymm12
+	vmulps		%ymm12, %ymm15, %ymm12
+	vaddps		%ymm3, %ymm12, %ymm3
+	vmovaps		128(%r13), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm4, %ymm15, %ymm4
+	vmovaps		160(%r13), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm5, %ymm15, %ymm5
+	vmovaps		192(%r13), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm6, %ymm15, %ymm6
+	vmovaps		224(%r13), %ymm15
+	vmulps		%ymm15, %ymm14, %ymm15
+	vaddps		%ymm7, %ymm15, %ymm7
+
+	jmp		7f
+
+0:
+
+	// offset > 0
+	// 1 2 3 4 5 6 7
+	
+	movq	%r13, %r15 // C0
+	addq	%r14, %r15 // C1 <- C0 + 4*sdc*sizeof(double)
+
+	cmpl	$4, %r10d
+	jl		1f
+	jg		2f
+
+	// offset==4
+	// TODO
+	jmp		7f
+
+1:
+	// 1 2 3
+
+	cmpl	$2, %r10d
+	jl		3f
+	jg		4f
+
+	// offset==2
+	// TODO
+	jmp		7f
+
+3:
+	// offset==1
+	// TODO
+	jmp		7f
+
+4:
+	// offset==3
+	// TODO
+	jmp		7f
+
+2:
+	// 5 6 7
+
+	cmpl	$6, %r10d
+	jl		5f
+	jg		6f
+
+	// offset==6
+	// TODO
+	jmp		7f
+
+5:
+	// offset==5
+	// TODO
+	jmp		7f
+
+6:
+	// offset==7
+	// TODO
+	jmp		7f
+
+	// end
+7:
+
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_blend_scale_ab_8x8_gen_lib8, .-inner_blend_scale_ab_8x8_gen_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// blend for generic alpha=1.0 and beta=1.0
+//
+// input arguments:
+// r10   <- C
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10   <- C
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_BLEND_SCALE_11_8X8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_scale_11_8x8_lib8, @function
+inner_blend_scale_11_8x8_lib8:
+#elif defined(OS_MAC)
+_inner_blend_scale_11_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_scale_11_8x8_lib8; .scl 2; .type 32; .endef
+inner_blend_scale_11_8x8_lib8:
+#endif
+#endif
+	
+	vblendps	$0xaa, %ymm1, %ymm0, %ymm12 // 1010 1010
+	vblendps	$0x55, %ymm1, %ymm0, %ymm13 // 0101 0101
+	vblendps	$0xaa, %ymm3, %ymm2, %ymm14
+	vblendps	$0x55, %ymm3, %ymm2, %ymm15
+
+	vblendps	$0xcc, %ymm15, %ymm12, %ymm0 // 1100 1100
+	vblendps	$0x33, %ymm15, %ymm12, %ymm2 // 0011 0011
+	vblendps	$0xcc, %ymm14, %ymm13, %ymm1
+	vblendps	$0x33, %ymm14, %ymm13, %ymm3
+
+	vblendps	$0xaa, %ymm5, %ymm4, %ymm12
+	vblendps	$0x55, %ymm5, %ymm4, %ymm13
+	vblendps	$0xaa, %ymm7, %ymm6, %ymm14
+	vblendps	$0x55, %ymm7, %ymm6, %ymm15
+
+	vblendps	$0xcc, %ymm15, %ymm12, %ymm4
+	vblendps	$0x33, %ymm15, %ymm12, %ymm6
+	vblendps	$0xcc, %ymm14, %ymm13, %ymm5
+	vblendps	$0x33, %ymm14, %ymm13, %ymm7
+
+	vmovaps		0(%r10), %ymm15
+	vaddps		%ymm0, %ymm15, %ymm0
+	vmovaps		32(%r10), %ymm15
+	vaddps		%ymm1, %ymm15, %ymm1
+	vmovaps		64(%r10), %ymm15
+	vaddps		%ymm2, %ymm15, %ymm2
+	vmovaps		96(%r10), %ymm15
+	vaddps		%ymm3, %ymm15, %ymm3
+	vmovaps		128(%r10), %ymm15
+	vaddps		%ymm4, %ymm15, %ymm4
+	vmovaps		160(%r10), %ymm15
+	vaddps		%ymm5, %ymm15, %ymm5
+	vmovaps		192(%r10), %ymm15
+	vaddps		%ymm6, %ymm15, %ymm6
+	vmovaps		224(%r10), %ymm15
+	vaddps		%ymm7, %ymm15, %ymm7
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_blend_scale_11_8x8_lib8, .-inner_blend_scale_11_8x8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// blend scale for generic alpha and beta
+//
+// input arguments:
+// r10  <- offset
+// r11   <- C
+// r12  <- 4*sdc*sizeof(double)
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+//
+// output arguments:
+// r10  <- offset
+// r11   <- C
+// r12  <- 4*sdc*sizeof(double)
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+// ymm8  <- dirty
+// ymm9  <- dirty
+// ymm10 <- dirty
+// ymm11 <- dirty
+// ymm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_BLEND_SCALE_11_8X8_GEN_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_scale_11_8x8_gen_lib8, @function
+inner_blend_scale_11_8x8_gen_lib8:
+#elif defined(OS_MAC)
+_inner_blend_scale_11_8x8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_scale_11_8x8_gen_lib8; .scl 2; .type 32; .endef
+inner_blend_scale_11_8x8_gen_lib8:
+#endif
+#endif
+	
+	vblendps	$0xaa, %ymm1, %ymm0, %ymm12 // 1010 1010
+	vblendps	$0x55, %ymm1, %ymm0, %ymm13 // 0101 0101
+	vblendps	$0xaa, %ymm3, %ymm2, %ymm14
+	vblendps	$0x55, %ymm3, %ymm2, %ymm15
+
+	vblendps	$0xcc, %ymm15, %ymm12, %ymm0 // 1100 1100
+	vblendps	$0x33, %ymm15, %ymm12, %ymm2 // 0011 0011
+	vblendps	$0xcc, %ymm14, %ymm13, %ymm1
+	vblendps	$0x33, %ymm14, %ymm13, %ymm3
+
+	vblendps	$0xaa, %ymm5, %ymm4, %ymm12
+	vblendps	$0x55, %ymm5, %ymm4, %ymm13
+	vblendps	$0xaa, %ymm7, %ymm6, %ymm14
+	vblendps	$0x55, %ymm7, %ymm6, %ymm15
+
+	vblendps	$0xcc, %ymm15, %ymm12, %ymm4
+	vblendps	$0x33, %ymm15, %ymm12, %ymm6
+	vblendps	$0xcc, %ymm14, %ymm13, %ymm5
+	vblendps	$0x33, %ymm14, %ymm13, %ymm7
+
+	cmpl	$0, %r10d
+	jg		0f
+
+	// offset==0
+
+	vmovaps		0(%r11), %ymm12
+	vaddps		%ymm0, %ymm12, %ymm0
+	vmovaps		32(%r11), %ymm12
+	vaddps		%ymm1, %ymm12, %ymm1
+	vmovaps		64(%r11), %ymm12
+	vaddps		%ymm2, %ymm12, %ymm2
+	vmovaps		96(%r11), %ymm12
+	vaddps		%ymm3, %ymm12, %ymm3
+	vmovaps		128(%r11), %ymm12
+	vaddps		%ymm4, %ymm12, %ymm4
+	vmovaps		160(%r11), %ymm12
+	vaddps		%ymm5, %ymm12, %ymm5
+	vmovaps		192(%r11), %ymm12
+	vaddps		%ymm6, %ymm12, %ymm6
+	vmovaps		224(%r11), %ymm12
+	vaddps		%ymm7, %ymm12, %ymm7
+
+	jmp		7f
+
+0:
+
+	// offset > 0
+	// 1 2 3 4 5 6 7
+	
+	movq	%r13, %r15 // C0
+	addq	%r14, %r15 // C1 <- C0 + 4*sdc*sizeof(double)
+
+	cmpl	$4, %r10d
+	jl		1f
+	jg		2f
+
+	// offset==4
+	// TODO
+	jmp		7f
+
+1:
+	// 1 2 3
+
+	cmpl	$2, %r10d
+	jl		3f
+	jg		4f
+
+	// offset==2
+	// TODO
+	jmp		7f
+
+3:
+	// offset==1
+	// TODO
+	jmp		7f
+
+4:
+	// offset==3
+	// TODO
+	jmp		7f
+
+2:
+	// 5 6 7
+
+	cmpl	$6, %r10d
+	jl		5f
+	jg		6f
+
+	// offset==6
+	// TODO
+	jmp		7f
+
+5:
+	// offset==5
+	// TODO
+	jmp		7f
+
+6:
+	// offset==7
+	// TODO
+	jmp		7f
+
+	// end
+7:
+
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_blend_scale_11_8x8_gen_lib8, .-inner_blend_scale_11_8x8_gen_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store n
+//
+// input arguments:
+// r10  <- D
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+//
+// output arguments:
+// r10  <- D
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_8X8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_8x8_lib8, @function
+inner_store_8x8_lib8:
+#elif defined(OS_MAC)
+_inner_store_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_store_8x8_lib8; .scl 2; .type 32; .endef
+inner_store_8x8_lib8:
+#endif
+#endif
+	
+	vmovaps 	%ymm0,  0(%r10)
+	vmovaps 	%ymm1, 32(%r10)
+	vmovaps 	%ymm2, 64(%r10)
+	vmovaps 	%ymm3, 96(%r10)
+	vmovaps 	%ymm4, 128(%r10)
+	vmovaps 	%ymm5, 160(%r10)
+	vmovaps 	%ymm6, 192(%r10)
+	vmovaps 	%ymm7, 224(%r10)
+	
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_8x8_lib8, .-inner_store_8x8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store n vs
+//
+// input arguments:
+// r10  <- D
+// r11  <- km
+// r12  <- kn
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+//
+// output arguments:
+// r10  <- D
+// r11  <- km
+// r12  <- kn
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_8X8_VS_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_8x8_vs_lib8, @function
+inner_store_8x8_vs_lib8:
+#elif defined(OS_MAC)
+_inner_store_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_store_8x8_vs_lib8; .scl 2; .type 32; .endef
+inner_store_8x8_vs_lib8:
+#endif
+#endif
+	
+	// compute mask for rows
+	vcvtsi2ss	%r11d, %xmm15, %xmm15
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	vmovups		.LC00(%rip), %ymm12
+#elif defined(OS_MAC)
+	vmovups		LC00(%rip), %ymm12
+#endif
+	vshufps		$0x00, %xmm15, %xmm15, %xmm15
+	vinsertf128	$0x1, %xmm15, %ymm15, %ymm15
+	vsubps		%ymm15, %ymm12, %ymm15
+
+	vmaskmovps	%ymm0, %ymm15,  0(%r10)
+	vmaskmovps	%ymm1, %ymm15,  32(%r10)
+	vmaskmovps	%ymm2, %ymm15,  64(%r10)
+	vmaskmovps	%ymm3, %ymm15,  96(%r10)
+	vmaskmovps	%ymm4, %ymm15,  128(%r10)
+	cmpl		$6, %r12d
+	jl			0f // end
+	vmaskmovps	%ymm5, %ymm15, 160(%r10)
+	cmpl		$7, %r12d
+	jl			0f // end
+	vmaskmovps	%ymm6, %ymm15, 192(%r10)
+	je			0f // end
+	vmaskmovps	%ymm7, %ymm15, 224(%r10)
+
+0:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_8x8_vs_lib8, .-inner_store_8x8_vs_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store n generalized
+//
+// input arguments:
+// r10  <- offset
+// r11  <- D
+// r12  <- 4*sdd*sizeof(double)
+// r13  <- m0 // row index: start from (inc)
+// r14  <- m1 // row index: up to (exc)
+// r15  <- n0 // col index: start from (inc)
+// rax  <- n1 // col index: up to (exc)
+// rbx  <- dirty
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+//
+// output arguments:
+// r10  <- offset
+// r11  <- D
+// r12  <- 4*sdd*sizeof(double)
+// r13  <- m0 // row index: start from (inc)
+// r14  <- m1 // row index: up to (exc)
+// r15  <- n1-n0
+// rax  <- n1-n0
+// rbx  <- dirty
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_8X8_GEN_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_8x8_gen_lib8, @function
+inner_store_8x8_gen_lib8:
+#elif defined(OS_MAC)
+_inner_store_8x8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_store_8x8_gen_lib8; .scl 2; .type 32; .endef
+inner_store_8x8_gen_lib8:
+#endif
+#endif
+	
+	// compute mask for rows
+	vcvtsi2ss	%r13d, %xmm14, %xmm14
+	vcvtsi2ss	%r14d, %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
+
+	// shift D and sol for cols
+	cmpl	$0, %r15d
+	jle		0f
+
+	vmovaps		%ymm1, %ymm0
+	vmovaps		%ymm2, %ymm1
+	vmovaps		%ymm3, %ymm2
+	vmovaps		%ymm4, %ymm3
+	vmovaps		%ymm5, %ymm4
+	vmovaps		%ymm6, %ymm5
+	vmovaps		%ymm7, %ymm6
+	addq		$32, %r11
+
+	cmpl	$1, %r15d
+	jle		0f
+
+	vmovaps		%ymm1, %ymm0
+	vmovaps		%ymm2, %ymm1
+	vmovaps		%ymm3, %ymm2
+	vmovaps		%ymm4, %ymm3
+	vmovaps		%ymm5, %ymm4
+	vmovaps		%ymm6, %ymm5
+	addq		$32, %r11
+
+	cmpl	$2, %r15d
+	jle		0f
+
+	vmovaps		%ymm1, %ymm0
+	vmovaps		%ymm3, %ymm2
+	vmovaps		%ymm4, %ymm3
+	vmovaps		%ymm5, %ymm4
+	addq		$32, %r11
+
+0:
+
+	// compute number of cols
+	cmpl	$8, %eax
+	jle		0f
+	movl	$8, %eax
+0:
+	subl	%r15d, %eax
+	movl	%eax, %r15d
+
+	cmpl	$0, %r10d
+	jg		0f
+
+	// offset==0
+	vmaskmovps	%ymm0, %ymm15,  0(%r11)
+	vmaskmovps	%ymm1, %ymm15,  32(%r11)
+	vmaskmovps	%ymm2, %ymm15,  64(%r11)
+	vmaskmovps	%ymm3, %ymm15,  96(%r11)
+	vmaskmovps	%ymm4, %ymm15,  128(%r11)
+	cmpl		$6, %r15d
+	jl			7f // end
+	vmaskmovps	%ymm5, %ymm15, 160(%r11)
+	cmpl		$7, %r15d
+	jl			7f // end
+	vmaskmovps	%ymm6, %ymm15, 192(%r11)
+	je			7f // end
+	vmaskmovps	%ymm7, %ymm15, 224(%r11)
+	//
+	jmp		7f
+
+0:
+	// offset > 0
+	// 1 2 3 4 5 6 7
+	
+	movq	%r11, %rbx // D0
+	addq	%r12, %rbx // D1 <- D0 + 4*sdd*sizeof(double)
+
+	cmpl	$4, %r10d
+	jl		1f
+	jg		2f
+
+	// offset==4
+	// TODO
+	jmp		7f
+
+1:
+	// 1 2 3
+
+	cmpl	$2, %r10d
+	jl		3f
+	jg		4f
+
+	// offset==2
+	// TODO
+	jmp		7f
+
+3:
+	// offset==1
+	// TODO
+	jmp		7f
+
+4:
+	// offset==3
+	// TODO
+	jmp		7f
+
+2:
+	// 5 6 7
+
+	cmpl	$6, %r10d
+	jl		5f
+	jg		6f
+
+	// offset==6
+	// TODO
+	jmp		7f
+
+5:
+	// offset==5
+	// TODO
+	jmp		7f
+
+6:
+	// offset==7
+	// TODO
+	jmp		7f
+
+	// end
+7:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_8x8_gen_lib8, .-inner_store_8x8_gen_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store n
+//
+// input arguments:
+// r10  <- D
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+//
+// output arguments:
+// r10  <- D
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_L_8X8_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_l_8x8_lib8, @function
+inner_store_l_8x8_lib8:
+#elif defined(OS_MAC)
+_inner_store_l_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_store_l_8x8_lib8; .scl 2; .type 32; .endef
+inner_store_l_8x8_lib8:
+#endif
+#endif
+	
+	vmovaps 	%ymm0,  0(%r10)
+	vmovaps		32(%r10), %ymm14
+	vblendps	$0x01, %ymm14, %ymm1, %ymm1
+	vmovaps 	%ymm1, 32(%r10)
+	vmovaps		64(%r10), %ymm14
+	vblendps	$0x03, %ymm14, %ymm2, %ymm2
+	vmovaps 	%ymm2, 64(%r10)
+	vmovaps		96(%r10), %ymm14
+	vblendps	$0x07, %ymm14, %ymm3, %ymm3
+	vmovaps 	%ymm3, 96(%r10)
+	vmovaps		128(%r10), %ymm14
+	vblendps	$0x0f, %ymm14, %ymm4, %ymm4
+	vmovaps 	%ymm4, 128(%r10)
+	vmovaps		160(%r10), %ymm14
+	vblendps	$0x1f, %ymm14, %ymm5, %ymm5
+	vmovaps 	%ymm5, 160(%r10)
+	vmovaps		192(%r10), %ymm14
+	vblendps	$0x3f, %ymm14, %ymm6, %ymm6
+	vmovaps 	%ymm6, 192(%r10)
+	vmovaps		224(%r10), %ymm14
+	vblendps	$0x7f, %ymm14, %ymm7, %ymm7
+	vmovaps 	%ymm7, 224(%r10)
+	
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_l_8x8_lib8, .-inner_store_l_8x8_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store lower vs
+//
+// input arguments:
+// r10  <- D
+// r11  <- km
+// r12  <- kn
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+//
+// output arguments:
+// r10  <- D
+// r11  <- km
+// r12  <- kn
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_L_8X8_VS_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_l_8x8_vs_lib8, @function
+inner_store_l_8x8_vs_lib8:
+#elif defined(OS_MAC)
+_inner_store_l_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_store_l_8x8_vs_lib8; .scl 2; .type 32; .endef
+inner_store_l_8x8_vs_lib8:
+#endif
+#endif
+	
+	// compute mask for rows
+	vcvtsi2ss	%r11d, %xmm15, %xmm15
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	vmovups		.LC00(%rip), %ymm12
+#elif defined(OS_MAC)
+	vmovups		LC00(%rip), %ymm12
+#endif
+	vshufps		$0x00, %xmm15, %xmm15, %xmm15
+	vinsertf128	$0x1, %xmm15, %ymm15, %ymm15
+	vsubps		%ymm15, %ymm12, %ymm15
+
+	// offset==0
+	vmaskmovps	%ymm0, %ymm15,  0(%r10)
+	vmovaps 	32(%r10), %ymm12
+	vblendps	$0x01, %ymm12, %ymm1, %ymm1
+	vmaskmovps	%ymm1, %ymm15,  32(%r10)
+	vmovaps 	64(%r10), %ymm12
+	vblendps	$0x03, %ymm12, %ymm2, %ymm2
+	vmaskmovps	%ymm2, %ymm15,  64(%r10)
+	vmovaps 	96(%r10), %ymm12
+	vblendps	$0x07, %ymm12, %ymm3, %ymm3
+	vmaskmovps	%ymm3, %ymm15,  96(%r10)
+	vmovaps 	128(%r10), %ymm12
+	vblendps	$0x0f, %ymm12, %ymm4, %ymm4
+	vmaskmovps	%ymm4, %ymm15,  128(%r10)
+	cmpl		$6, %r12d
+	jl			0f // end
+	vmovaps 	160(%r10), %ymm12
+	vblendps	$0x1f, %ymm12, %ymm5, %ymm5
+	vmaskmovps	%ymm5, %ymm15, 160(%r10)
+	cmpl		$7, %r12d
+	jl			0f // end
+	vmovaps 	192(%r10), %ymm12
+	vblendps	$0x3f, %ymm12, %ymm6, %ymm6
+	vmaskmovps	%ymm6, %ymm15, 192(%r10)
+	je			0f // end
+	vmovaps 	224(%r10), %ymm12
+	vblendps	$0x7f, %ymm12, %ymm7, %ymm7
+	vmaskmovps	%ymm7, %ymm15, 224(%r10)
+
+0:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_8x8_vs_lib8, .-inner_store_8x8_vs_lib8
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store lower generalized
+//
+// input arguments:
+// r10  <- offset
+// r11  <- D
+// r12  <- 4*sdd*sizeof(double)
+// r13  <- m0 // row index: start from (inc)
+// r14  <- m1 // row index: up to (exc)
+// r15  <- n0 // col index: start from (inc)
+// rax  <- n1 // col index: up to (exc)
+// rbx  <- dirty
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+//
+// output arguments:
+// r10  <- offset
+// r11  <- D
+// r12  <- 4*sdd*sizeof(double)
+// r13  <- m0 // row index: start from (inc)
+// r14  <- m1 // row index: up to (exc)
+// r15  <- n1-n0
+// rax  <- n1-n0
+// rbx  <- dirty
+// ymm0 <- []
+// ymm1 <- []
+// ymm2 <- []
+// ymm3 <- []
+// ymm4 <- []
+// ymm5 <- []
+// ymm6 <- []
+// ymm7 <- []
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_L_8X8_GEN_LIB8
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_l_8x8_gen_lib8, @function
+inner_store_l_8x8_gen_lib8:
+#elif defined(OS_MAC)
+_inner_store_l_8x8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.def inner_store_l_8x8_gen_lib8; .scl 2; .type 32; .endef
+inner_store_l_8x8_gen_lib8:
+#endif
+#endif
+	
+	// compute mask for rows
+	vcvtsi2ss	%r13d, %xmm14, %xmm14
+	vcvtsi2ss	%r14d, %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
+
+	// shift D and sol for cols
+	cmpl	$0, %r15d
+	jle		0f
+
+	vmovaps		%ymm1, %ymm0
+	vmovaps		%ymm2, %ymm1
+	vmovaps		%ymm3, %ymm2
+	vmovaps		%ymm4, %ymm3
+	vmovaps		%ymm5, %ymm4
+	vmovaps		%ymm6, %ymm5
+	vmovaps		%ymm7, %ymm6
+	addq		$32, %r11
+
+	cmpl	$1, %r15d
+	jle		0f
+
+	vmovaps		%ymm1, %ymm0
+	vmovaps		%ymm2, %ymm1
+	vmovaps		%ymm3, %ymm2
+	vmovaps		%ymm4, %ymm3
+	vmovaps		%ymm5, %ymm4
+	vmovaps		%ymm6, %ymm5
+	addq		$32, %r11
+
+	cmpl	$2, %r15d
+	jle		0f
+
+	vmovaps		%ymm1, %ymm0
+	vmovaps		%ymm3, %ymm2
+	vmovaps		%ymm4, %ymm3
+	vmovaps		%ymm5, %ymm4
+	addq		$32, %r11
+
+0:
+
+	// compute number of cols
+	cmpl	$8, %eax
+	jle		0f
+	movl	$8, %eax
+0:
+	subl	%r15d, %eax
+	movl	%eax, %r15d
+
+	cmpl	$0, %r10d
+	jg		0f
+
+	// offset==0
+	vmaskmovps	%ymm0, %ymm15,  0(%r11)
+	vmovaps 	32(%r11), %ymm12
+	vblendps	$0x01, %ymm12, %ymm1, %ymm1
+	vmaskmovps	%ymm1, %ymm15,  32(%r11)
+	vmovaps 	64(%r11), %ymm12
+	vblendps	$0x03, %ymm12, %ymm2, %ymm2
+	vmaskmovps	%ymm2, %ymm15,  64(%r11)
+	vmovaps 	96(%r11), %ymm12
+	vblendps	$0x07, %ymm12, %ymm3, %ymm3
+	vmaskmovps	%ymm3, %ymm15,  96(%r11)
+	vmovaps 	128(%r11), %ymm12
+	vblendps	$0x0f, %ymm12, %ymm4, %ymm4
+	vmaskmovps	%ymm4, %ymm15,  128(%r11)
+	cmpl		$6, %r15d
+	jl			7f // end
+	vmovaps 	160(%r11), %ymm12
+	vblendps	$0x1f, %ymm12, %ymm5, %ymm5
+	vmaskmovps	%ymm5, %ymm15, 160(%r11)
+	cmpl		$7, %r15d
+	jl			7f // end
+	vmovaps 	192(%r11), %ymm12
+	vblendps	$0x3f, %ymm12, %ymm6, %ymm6
+	vmaskmovps	%ymm6, %ymm15, 192(%r11)
+	je			7f // end
+	vmovaps 	224(%r11), %ymm12
+	vblendps	$0x7f, %ymm12, %ymm7, %ymm7
+	vmaskmovps	%ymm7, %ymm15, 224(%r11)
+	//
+	jmp		7f
+
+0:
+	// offset > 0
+	// 1 2 3 4 5 6 7
+	
+	movq	%r11, %rbx // D0
+	addq	%r12, %rbx // D1 <- D0 + 4*sdd*sizeof(double)
+
+	cmpl	$4, %r10d
+	jl		1f
+	jg		2f
+
+	// offset==4
+	// TODO
+	jmp		7f
+
+1:
+	// 1 2 3
+
+	cmpl	$2, %r10d
+	jl		3f
+	jg		4f
+
+	// offset==2
+	// TODO
+	jmp		7f
+
+3:
+	// offset==1
+	// TODO
+	jmp		7f
+
+4:
+	// offset==3
+	// TODO
+	jmp		7f
+
+2:
+	// 5 6 7
+
+	cmpl	$6, %r10d
+	jl		5f
+	jg		6f
+
+	// offset==6
+	// TODO
+	jmp		7f
+
+5:
+	// offset==5
+	// TODO
+	jmp		7f
+
+6:
+	// offset==7
+	// TODO
+	jmp		7f
+
+	// end
+7:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_8x8_gen_lib8, .-inner_store_8x8_gen_lib8
+#endif
+#endif
+
+
+
+
+
+//                               rdi    rsi           rdx       rcx       r8           r9        rsp+8
+// void kernel_sgemm_nt_8x8_lib8(int k, float *alpha, float *A, float *B, float *beta, float *C, float *D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemm_nt_8x8_lib8
+	.type kernel_sgemm_nt_8x8_lib8, @function
+kernel_sgemm_nt_8x8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemm_nt_8x8_lib8
+_kernel_sgemm_nt_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemm_nt_8x8_lib8
+	.def kernel_sgemm_nt_8x8_lib8; .scl 2; .type 32; .endef
+kernel_sgemm_nt_8x8_lib8:
+#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 dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_8x8_lib8
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemm_nt_8x8_lib8, .-kernel_sgemm_nt_8x8_lib8
+#endif
+
+
+
+
+
+//                                  1      2             3         4         5            6         7         8       9
+// void kernel_sgemm_nt_8x8_vs_lib8(int k, float *alpha, float *A, float *B, float *beta, float *C, float *D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemm_nt_8x8_vs_lib8
+	.type kernel_sgemm_nt_8x8_vs_lib8, @function
+kernel_sgemm_nt_8x8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemm_nt_8x8_vs_lib8
+_kernel_sgemm_nt_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemm_nt_8x8_vs_lib8
+	.def kernel_sgemm_nt_8x8_vs_lib8; .scl 2; .type 32; .endef
+kernel_sgemm_nt_8x8_vs_lib8:
+#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 dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_8x8_lib8
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+	movq	ARG8, %r11 // D
+	movq	ARG9, %r12 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemm_nt_8x8_vs_lib8, .-kernel_sgemm_nt_8x8_vs_lib8
+#endif
+
+
+
+
+
+//                                   rdi    rsi           rdx       rcx       r8           r9           rsp+8     rsp+16   rsp+24       rsp+32    rsp+40   rsp+48  rsp+56  rsp+64  rsp+72
+// void kernel_sgemm_nt_8x8_gen_lib8(int k, float *alpha, float *A, float *B, float *beta, int offsetC, float *C, int sdc, int offsetD, float *D, int sdd, int m0, int m1, int n0, int n1);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemm_nt_8x8_gen_lib8
+	.type kernel_sgemm_nt_8x8_gen_lib8, @function
+kernel_sgemm_nt_8x8_gen_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemm_nt_8x8_gen_lib8
+_kernel_sgemm_nt_8x8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemm_nt_8x8_gen_lib8
+	.def kernel_sgemm_nt_8x8_gen_lib8; .scl 2; .type 32; .endef
+kernel_sgemm_nt_8x8_gen_lib8:
+#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 dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blend scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12 // offsetC
+	movq	ARG7, %r13 // C
+	movq	ARG8, %r14 // sdc
+	sall	$5, %r14d // 8*sdc*sizeof(float)
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_8X8_GEN_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_8x8_gen_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_8x8_gen_lib8
+#endif
+#endif
+
+
+	// store n gen
+
+	movq	ARG9, %r10 // offsetD
+	movq	ARG10, %r11 // D
+	movq	ARG11, %r12 // sdd
+	sall	$5, %r12d // 8*sdb*sizeof(float)
+	movq	ARG12, %r13 // m0
+	movq	ARG13, %r14 // m1
+	movq	ARG14, %r15 // n0
+	movq	ARG15, %rax // n1
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X8_GEN_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_gen_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_gen_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemm_nt_8x8_gen_lib8, .-kernel_sgemm_nt_8x8_gen_lib8
+#endif
+
+
+
+
+
+//                               rdi    rsi           rdx        rcx         r8         r9      rsp+8        rsp+16    rsp+24
+// void kernel_sgemm_nn_8x8_lib8(int k, float *alpha, float *A, int offsetB, float *B, int sdb, float *beta, float *C, float *D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemm_nn_8x8_lib8
+	.type kernel_sgemm_nn_8x8_lib8, @function
+kernel_sgemm_nn_8x8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemm_nn_8x8_lib8
+_kernel_sgemm_nn_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemm_nn_8x8_lib8
+	.def kernel_sgemm_nn_8x8_lib8; .scl 2; .type 32; .endef
+kernel_sgemm_nn_8x8_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 dgemm kernel nn
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG5, %r12  // B
+	movq	ARG6, %r13 // sdb
+	sall	$5, %r13d // 4*sdb*sizeof(double)
+	movq	ARG4, %r14 // offsetB
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_GEMM_ADD_NN_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_gemm_add_nn_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_gemm_add_nn_8x8_lib8
+#endif
+#endif
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NN_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nn_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nn_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blend 
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG7, %r11 // beta
+	movq	ARG8, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_SCALE_AB_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_scale_ab_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_scale_ab_8x8_lib8
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG9, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemm_nn_8x8_lib8, .-kernel_sgemm_nn_8x8_lib8
+#endif
+
+
+
+
+
+//                               1      2             3         4            5         6        7            8         9         10      11
+// void kernel_sgemm_nn_8x8_lib8(int k, float *alpha, float *A, int offsetB, float *B, int sdb, float *beta, float *C, float *D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemm_nn_8x8_vs_lib8
+	.type kernel_sgemm_nn_8x8_vs_lib8, @function
+kernel_sgemm_nn_8x8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemm_nn_8x8_vs_lib8
+_kernel_sgemm_nn_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemm_nn_8x8_vs_lib8
+	.def kernel_sgemm_nn_8x8_vs_lib8; .scl 2; .type 32; .endef
+kernel_sgemm_nn_8x8_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 dgemm kernel nn
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG5, %r12  // B
+	movq	ARG6, %r13 // sdb
+	sall	$5, %r13d // 4*sdb*sizeof(double)
+	movq	ARG4, %r14 // offsetB
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_GEMM_ADD_NN_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_gemm_add_nn_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_gemm_add_nn_8x8_lib8
+#endif
+#endif
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NN_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nn_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nn_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blend 
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG7, %r11 // beta
+	movq	ARG8, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_SCALE_AB_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_scale_ab_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_scale_ab_8x8_lib8
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG9, %r10 // D
+	movq	ARG10, %r11 // D
+	movq	ARG11, %r12 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemm_nn_8x8_vs_lib8, .-kernel_sgemm_nn_8x8_vs_lib8
+#endif
+
+
+
+
+
+//                                   rdi    rsi           rdx       rcx       r8        r9       rsp+8        rsp+16    rsp+24    rsp+32    rsp+40   rsp+48     rsp+56   rsp+64  rsp+72  rsp+80  rsp+88
+// void kernel_sgemm_nn_8x8_gen_lib4(int k, float *alpha, float *A, int offB, float *B, int sdb, float *beta, int offC, float *C, int sdc, int offD, float *D, int sdd, int m0, int m1, int n0, int n1);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemm_nn_8x8_gen_lib8
+	.type kernel_sgemm_nn_8x8_gen_lib8, @function
+kernel_sgemm_nn_8x8_gen_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemm_nn_8x8_gen_lib8
+_kernel_sgemm_nn_8x8_gen_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemm_nn_8x8_gen_lib8
+	.def kernel_sgemm_nn_8x8_gen_lib8; .scl 2; .type 32; .endef
+kernel_sgemm_nn_8x8_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 dgemm kernel nn
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG5, %r12  // B
+	movq	ARG6, %r13 // sdb
+	sall	$5, %r13d // 4*sdb*sizeof(double)
+	movq	ARG4, %r14 // offsetB
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_GEMM_ADD_NN_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_gemm_add_nn_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_gemm_add_nn_8x8_lib8
+#endif
+#endif
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NN_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nn_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nn_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blend scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG7, %r11 // beta
+	movq	ARG8, %r12 // offsetC
+	movq	ARG9, %r13 // C
+	movq	ARG10, %r14 // sdc
+	sall	$5, %r14d // 4*sdc*sizeof(double)
+
+#if MACRO_LEVEL>=1
+	INNER_SCALE_AB_8X8_GEN_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_scale_ab_8x8_gen_lib8
+#elif defined(OS_MAC)
+	callq _inner_scale_ab_8x8_gen_lib8
+#endif
+#endif
+
+
+	// store n gen
+
+	movq	ARG11, %r10 // offsetD
+	movq	ARG12, %r11 // D
+	movq	ARG13, %r12 // sdd
+	sall	$5, %r12d // 4*sdb*sizeof(double)
+	movq	ARG14, %r13 // m0
+	movq	ARG15, %r14 // m1
+	movq	ARG16, %r15 // n0
+	movq	ARG17, %rax // n1
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X8_GEN_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_gen_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_gen_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemm_nn_8x8_gen_lib8, .-kernel_sgemm_nn_8x8_gen_lib8
+#endif
+
+
+
+
+
+//                                 rdi    rsi           rdx       rcx       r8           r9        rsp+8
+// void kernel_ssyrk_nt_l_8x8_lib8(int k, float *alpha, float *A, float *B, float *beta, float *C, float *D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_ssyrk_nt_l_8x8_lib8
+	.type kernel_ssyrk_nt_l_8x8_lib8, @function
+kernel_ssyrk_nt_l_8x8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_ssyrk_nt_l_8x8_lib8
+_kernel_ssyrk_nt_l_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_ssyrk_nt_l_8x8_lib8
+	.def kernel_ssyrk_nt_l_8x8_lib8; .scl 2; .type 32; .endef
+kernel_ssyrk_nt_l_8x8_lib8:
+#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 dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_8x8_lib8
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_l_8x8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_ssyrk_nt_l_8x8_lib8, .-kernel_ssyrk_nt_l_8x8_lib8
+#endif
+
+
+
+
+
+//                                    1      2             3         4         5            6         7         8       9
+// void kernel_ssyrk_nt_l_8x8_vs_lib8(int k, float *alpha, float *A, float *B, float *beta, float *C, float *D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_ssyrk_nt_l_8x8_vs_lib8
+	.type kernel_ssyrk_nt_l_8x8_vs_lib8, @function
+kernel_ssyrk_nt_l_8x8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_ssyrk_nt_l_8x8_vs_lib8
+_kernel_ssyrk_nt_l_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_ssyrk_nt_l_8x8_vs_lib8
+	.def kernel_ssyrk_nt_l_8x8_vs_lib8; .scl 2; .type 32; .endef
+kernel_ssyrk_nt_l_8x8_vs_lib8:
+#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 dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_8x8_lib8
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+	movq	ARG8, %r11 // km
+	movq	ARG9, %r12 // kn
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_l_8x8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_ssyrk_nt_l_8x8_vs_lib8, .-kernel_ssyrk_nt_l_8x8_vs_lib8
+#endif
+
+
+
+
+
+//                                      edi    rsi       rdx       ecx       r8        r9        rsp+8     
+// void kernel_strsm_nt_rl_inv_8x8_lib8(int k, float *A, float *B, float *C, float *D, float *E, float *inv_diag_E);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_strsm_nt_rl_inv_8x8_lib8
+	.type kernel_strsm_nt_rl_inv_8x8_lib8, @function
+kernel_strsm_nt_rl_inv_8x8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_strsm_nt_rl_inv_8x8_lib8
+_kernel_strsm_nt_rl_inv_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_strsm_nt_rl_inv_8x8_lib8
+	.def kernel_strsm_nt_rl_inv_8x8_lib8; .scl 2; .type 32; .endef
+kernel_strsm_nt_rl_inv_8x8_lib8:
+#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 dgemm kernel nt 
+
+	movq	ARG1, %r10
+	movq	ARG2, %r11
+	movq	ARG3, %r12
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_SUB_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_sub_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_sub_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG4, %r10
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_8X8_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_8x8_lib8
+#endif
+#endif
+
+
+	// solve
+
+	movq	ARG6, %r10  // E 
+	movq	ARG7, %r11  // inv_diag_E 
+	movl	$8, %r12d // n1
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_TRSM_RLT_INV_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_trsm_rlt_inv_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_trsm_rlt_inv_8x8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG5, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_strsm_nt_rl_inv_8x8_lib8, .-kernel_strsm_nt_rl_inv_8x8_lib8
+#endif
+
+
+
+
+
+//                                         edi    rsi       rdx       ecx       r8        r9        rsp+8               rsp+16  rsp+24  
+// void kernel_strsm_nt_rl_inv_8x8_vs_lib8(int k, float *A, float *B, float *C, float *D, float *E, float *inv_diag_E, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_strsm_nt_rl_inv_8x8_vs_lib8
+	.type kernel_strsm_nt_rl_inv_8x8_vs_lib8, @function
+kernel_strsm_nt_rl_inv_8x8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_strsm_nt_rl_inv_8x8_vs_lib8
+_kernel_strsm_nt_rl_inv_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_strsm_nt_rl_inv_8x8_vs_lib8
+	.def kernel_strsm_nt_rl_inv_8x8_vs_lib8; .scl 2; .type 32; .endef
+kernel_strsm_nt_rl_inv_8x8_vs_lib8:
+#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 dgemm kernel nt 
+
+	movq	ARG1, %r10
+	movq	ARG2, %r11
+	movq	ARG3, %r12
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_SUB_NT_8X4_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_sub_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_sub_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blender_loader nn // TODO scale gen
+
+	movq	ARG4, %r10 // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_8X4_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_8x8_lib8
+#endif
+#endif
+
+
+	// solve
+
+	movq	ARG6, %r10  // E 
+	movq	ARG7, %r11  // inv_diag_E 
+	movq	ARG9, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_TRSM_RLT_INV_8X4_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_trsm_rlt_inv_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_trsm_rlt_inv_8x8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG5, %r10 // D
+	movq	ARG8, %r11 // m1 
+	movq	ARG9, %r12 // n1 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X4_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_strsm_nt_rl_inv_8x8_vs_lib8, .-kernel_strsm_nt_rl_inv_8x8_vs_lib8
+#endif
+
+
+
+
+
+//                                            1       2          3          4       5          6          7         8         9         10
+// void kernel_sgemm_strsm_nt_rl_inv_8x8_lib8(int kp, float *Ap, float *Bp, int km, float *Am, float *Bm, float *C, float *D, float *E, float *inv_diag_E);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemm_strsm_nt_rl_inv_8x8_lib8
+	.type kernel_sgemm_strsm_nt_rl_inv_8x8_lib8, @function
+kernel_sgemm_strsm_nt_rl_inv_8x8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemm_strsm_nt_rl_inv_8x8_lib8
+_kernel_sgemm_strsm_nt_rl_inv_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemm_strsm_nt_rl_inv_8x8_lib8
+	.def kernel_sgemm_strsm_nt_rl_inv_8x8_lib8; .scl 2; .type 32; .endef
+kernel_sgemm_strsm_nt_rl_inv_8x8_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorpd	%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 dgemm kernel nt add
+
+	movq	ARG1, %r10 // kp
+	movq	ARG2, %r11  // Ap
+	movq	ARG3, %r12  // Bp
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner dgemm kernel nt sub
+
+	movq	ARG4, %r10 // km
+	movq	ARG5, %r11   // Am
+	movq	ARG6, %r12   // Bm
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_SUB_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_sub_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_sub_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG7, %r10   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_8x8_lib8
+#endif
+#endif
+
+
+	// solve
+
+	movq	ARG9, %r10  // E 
+	movq	ARG10, %r11  // inv_diag_E 
+	movq	$8, %r12 // n1
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_TRSM_RLT_INV_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_trsm_rlt_inv_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_trsm_rlt_inv_8x8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10   // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemm_strsm_nt_rl_inv_8x8_lib8, .-kernel_sgemm_strsm_nt_rl_inv_8x8_lib8
+#endif
+
+
+
+
+
+//                                               1       2          3          4       5          6          7         8         9         10                 11      12
+// void kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8(int kp, float *Ap, float *Bp, int km, float *Am, float *Bm, float *C, float *D, float *E, float *inv_diag_E, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8
+	.type kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8, @function
+kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8
+_kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8
+	.def kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8; .scl 2; .type 32; .endef
+kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorpd	%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 dgemm kernel nt add
+
+	movq	ARG1, %r10 // kp
+	movq	ARG2, %r11  // Ap
+	movq	ARG3, %r12  // Bp
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner dgemm kernel nt sub
+
+	movq	ARG4, %r10 // km
+	movq	ARG5, %r11   // Am
+	movq	ARG6, %r12   // Bm
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_SUB_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_sub_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_sub_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG7, %r10  // C 
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_8x8_lib8
+#endif
+#endif
+
+
+	// solve
+
+	movq	ARG9, %r10  // E 
+	movq	ARG10, %r11  // inv_diag_E 
+	movq	ARG12, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_TRSM_RLT_INV_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_trsm_rlt_inv_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_trsm_rlt_inv_8x8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10 // D 
+	movq	ARG11, %r11 // km 
+	movq	ARG12, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_8x8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8, .-kernel_sgemm_strsm_nt_rl_inv_8x8_vs_lib8
+#endif
+
+
+
+
+
+//                                  edi    rsi       rdx       rcx       r8        r9
+// void kernel_spotrf_nt_l_8x8_lib8(int k, float *A, float *B, float *C, float *D, float *inv_diag_D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_spotrf_nt_l_8x8_lib8
+	.type kernel_spotrf_nt_l_8x8_lib8, @function
+kernel_spotrf_nt_l_8x8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_spotrf_nt_l_8x8_lib8
+_kernel_spotrf_nt_l_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_spotrf_nt_l_8x8_lib8
+	.def kernel_spotrf_nt_l_8x8_lib8; .scl 2; .type 32; .endef
+kernel_spotrf_nt_l_8x8_lib8:
+#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 dgemm kernel nt
+
+	movq	ARG1, %r10
+	movq	ARG2, %r11
+	movq	ARG3, %r12
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_SUB_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_sub_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_sub_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG4, %r10 // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_8x8_lib8
+#endif
+#endif
+
+
+	// factorization
+
+	movq	ARG6, %r10  // inv_diag_D 
+	movl	$8, %r11d // n1
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_POTRF_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_potrf_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_potrf_8x8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG5, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_l_8x8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_spotrf_nt_l_8x8_lib8, .-kernel_spotrf_nt_l_8x8_lib8
+#endif
+
+
+
+
+
+//                                     edi    rsi       rdx       rcx       r8        r9                  rsp+8   rsp+16
+// void kernel_spotrf_nt_l_8x8_vs_lib8(int k, float *A, float *B, float *C, float *D, float *inv_diag_D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_spotrf_nt_l_8x8_vs_lib8
+	.type kernel_spotrf_nt_l_8x8_vs_lib8, @function
+kernel_spotrf_nt_l_8x8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_spotrf_nt_l_8x8_vs_lib8
+_kernel_spotrf_nt_l_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_spotrf_nt_l_8x8_vs_lib8
+	.def kernel_spotrf_nt_l_8x8_vs_lib8; .scl 2; .type 32; .endef
+kernel_spotrf_nt_l_8x8_vs_lib8:
+#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 dgemm kernel nt
+
+	movq	ARG1, %r10
+	movq	ARG2, %r11
+	movq	ARG3, %r12
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_SUB_NT_8X4_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_sub_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_sub_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG4, %r10 // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_8X4_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_8x8_lib8
+#endif
+#endif
+
+
+	// factorization
+
+	movq	ARG6, %r10  // inv_diag_D 
+	movq	ARG8, %r11 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_POTRF_8X4_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_potrf_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_potrf_8x8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG5, %r10 // D
+	movq	ARG7, %r11 // m1 
+	movq	ARG8, %r12 // n1 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_8X4_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_l_8x8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_spotrf_nt_l_8x8_vs_lib8, .-kernel_spotrf_nt_l_8x8_vs_lib8
+#endif
+
+
+
+
+
+//                                        1       2          3          4       5          6          7         8         9
+// void kernel_ssyrk_spotrf_nt_l_8x8_lib8(int kp, float *Ap, float *Bp, int km, float *Am, float *Bm, float *C, float *D, float *inv_diag_D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_ssyrk_spotrf_nt_l_8x8_lib8
+	.type kernel_ssyrk_spotrf_nt_l_8x8_lib8, @function
+kernel_ssyrk_spotrf_nt_l_8x8_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_ssyrk_spotrf_nt_l_8x8_lib8
+_kernel_ssyrk_spotrf_nt_l_8x8_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_ssyrk_spotrf_nt_l_8x8_lib8
+	.def kernel_ssyrk_spotrf_nt_l_8x8_lib8; .scl 2; .type 32; .endef
+kernel_ssyrk_spotrf_nt_l_8x8_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 dgemm kernel nt add
+
+	movq	ARG1, %r10 // kp
+	movq	ARG2, %r11  // Ap
+	movq	ARG3, %r12  // Bp
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner dgemm kernel nt sub
+
+	movq	ARG4, %r10 // km
+	movq	ARG5, %r11   // Am
+	movq	ARG6, %r12   // Bm
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_SUB_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_sub_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_sub_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG7, %r10   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_8x8_lib8
+#endif
+#endif
+
+
+	// factorization
+
+	movq	ARG9, %r10  // inv_diag_D 
+	movl	$8, %r11d
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_POTRF_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_potrf_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_potrf_8x8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10  // D 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_l_8x8_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_ssyrk_spotrf_nt_l_8x8_lib8, .-kernel_ssyrk_spotrf_nt_l_8x8_lib8
+#endif
+
+
+
+
+
+//                                           1       2          3          4       5          6          7         8         9                  10      11
+// void kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8(int kp, float *Ap, float *Bp, int km, float *Am, float *Bm, float *C, float *D, float *inv_diag_D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8
+	.type kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8, @function
+kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8:
+#elif defined(OS_MAC)
+	.globl _kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8
+_kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8:
+#elif defined(OS_WINDOWS)
+	.globl kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8
+	.def kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8; .scl 2; .type 32; .endef
+kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	vxorpd	%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 dgemm kernel nt add
+
+	movq	ARG1, %r10 // kp
+	movq	ARG2, %r11  // Ap
+	movq	ARG3, %r12  // Bp
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_ADD_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_add_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_add_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner dgemm kernel nt sub
+
+	movq	ARG4, %r10 // km
+	movq	ARG5, %r11   // Am
+	movq	ARG6, %r12   // Bm
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_GEMM_SUB_NT_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_gemm_sub_nt_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_kernel_gemm_sub_nt_8x8_lib8
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG7, %r10   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_8X8_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_8x8_lib8
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_8x8_lib8
+#endif
+#endif
+
+
+	// factorization
+
+	movq	ARG9, %r10  // inv_diag_D 
+	movq	ARG11, %r11 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_POTRF_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_potrf_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_edge_potrf_8x8_vs_lib8
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10  // D 
+	movq	ARG10, %r11 // km 
+	movq	ARG11, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_8X8_VS_LIB8
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_8x8_vs_lib8
+#elif defined(OS_MAC)
+	callq _inner_store_l_8x8_vs_lib8
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_ssyrk_spotrf_nt_l_8x8_vs_lib8, .-kernel_ssyrk_spotrf_nt_l_8x8_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) | defined(OS_WINDOWS)
+	.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
+	.long	1056964608
+	.long	1069547520
+	.long	1075838976
+	.long	1080033280
+	.long	1083179008
+	.long	1085276160
+	.long	1087373312
+	.long	1089470464
+
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	.align 32
+.LC01: // { 15.5 14.5 13.5 12.5 11.5 10.5 9.5 8.5 }
+#elif defined(OS_MAC)
+	.align 5
+LC01: // { 15.5 14.5 13.5 12.5 11.5 10.5 9.5 8.5 }
+#endif
+	.long	1091043328
+	.long	1092091904
+	.long	1093140480
+	.long	1094189056
+	.long	1095237632
+	.long	1096286208
+	.long	1097334784
+	.long	1098383360
+
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	.align 32
+.LC02: // { 23.5 22.5 21.5 20.5 19.5 18.5 17.5 16.5 }
+#elif defined(OS_MAC)
+	.align 5
+LC02: // { 23.5 22.5 21.5 20.5 19.5 18.5 17.5 16.5 }
+#endif
+	.long	1099169792
+	.long	1099694080
+	.long	1100218368
+	.long	1100742656
+	.long	1101266944
+	.long	1101791232
+	.long	1102315520
+	.long	1102839808
+
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	.align 32
+.LC03: // { 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 }
+#elif defined(OS_MAC)
+	.align 5
+LC03: // { 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 }
+#endif
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	.align 32
+.LC09: // { -1.0 -1.0 1.0 1.0 1.0 1.0 1.0 1.0 }
+#elif defined(OS_MAC)
+	.align 5
+LC09: // { -1.0 -1.0 1.0 1.0 1.0 1.0 1.0 1.0 }
+#endif
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+	.long	1065353216
+	.long	3212836864
+	.long	3212836864
+
+
+
+#if defined(OS_LINUX)
+	.section	.note.GNU-stack,"",@progbits
+#elif defined(OS_MAC)
+	.subsections_via_symbols
+#endif
+