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/sse3/kernel_dgemm_4x4_lib4.S b/kernel/sse3/kernel_dgemm_4x4_lib4.S
new file mode 100644
index 0000000..26f35b6
--- /dev/null
+++ b/kernel/sse3/kernel_dgemm_4x4_lib4.S
@@ -0,0 +1,6235 @@
+/**************************************************************************************************
+*                                                                                                 *
+* 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);
+#define EPILOGUE \
+	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);
+#define EPILOGUE \
+	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
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+//
+// output arguments:
+// r10d  <- 0
+// r11   <- A+4*k*sizeof(double)
+// r12   <- B+4*k*sizeof(double)
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=2
+	.macro INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_kernel_dgemm_add_nt_4x4_lib4, @function
+inner_kernel_dgemm_add_nt_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_kernel_dgemm_add_nt_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_kernel_dgemm_add_nt_4x4_lib4; .scl 2; .type 32; .endef
+inner_kernel_dgemm_add_nt_4x4_lib4:
+#endif
+#endif
+	
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// prefetch
+	movapd		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+	movapd		0(%r12), %xmm10 // B[0]
+
+	xorpd		%xmm11, %xmm11
+	movapd		%xmm11, %xmm12
+	movapd		%xmm11, %xmm13
+	movapd		%xmm11, %xmm14
+	movapd		%xmm11, %xmm15
+
+
+	cmpl	$4, %r10d
+	jle		0f // consider clean-up loop
+
+	// main loop
+	.p2align 3
+1: // main loop
+
+	// unroll 0
+	addpd		%xmm14, %xmm3
+	movapd		16(%r12), %xmm14 // B[2]
+	addpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	addpd		%xmm10, %xmm1
+	movapd		32(%r12), %xmm10 // B[4]
+	addpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm15, %xmm0
+	addpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		32(%r11), %xmm8 // A[4]
+	mulpd		%xmm9, %xmm13
+	movapd 		48(%r11), %xmm9 // A[6]
+
+
+	// unroll 1
+	addpd		%xmm14, %xmm3
+	movapd		48(%r12), %xmm14 // B[6]
+	addpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	addpd		%xmm10, %xmm1
+	movapd		64(%r12), %xmm10 // B[8]
+	addpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm15, %xmm0
+	addpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		64(%r11), %xmm8 // A[8]
+	mulpd		%xmm9, %xmm13
+	movapd 		80(%r11), %xmm9 // A[10]
+
+
+	// unroll 2
+	addpd		%xmm14, %xmm3
+	movapd		80(%r12), %xmm14 // B[10]
+	addpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	subl		$4, %r10d
+
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	addpd		%xmm10, %xmm1
+	movapd		96(%r12), %xmm10 // B[12]
+	addpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm15, %xmm0
+	addpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		96(%r11), %xmm8 // A[12]
+	mulpd		%xmm9, %xmm13
+	movapd 		112(%r11), %xmm9 // A[14]
+	
+
+	// unroll 3
+	addpd		%xmm14, %xmm3
+	movapd		112(%r12), %xmm14 // B[14]
+	addpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addq		$128, %r12 // B += 16
+
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addq		$128, %r11 // A += 16
+
+	addpd		%xmm10, %xmm1
+	movapd		0(%r12), %xmm10 // B[0]
+	addpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	cmpl		$4, %r10d
+
+	addpd		%xmm15, %xmm0
+	addpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		0(%r11), %xmm8 // A[0]
+	mulpd		%xmm9, %xmm13
+	movapd 		16(%r11), %xmm9 // A[2]
+
+
+	jg		1b // main loop 
+
+
+0: // consider clean4-up
+	
+	cmpl	$3, %r10d
+	jle		4f // clean1
+
+
+	// unroll 0
+	addpd		%xmm14, %xmm3
+	movapd		16(%r12), %xmm14 // B[2]
+	addpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	addpd		%xmm10, %xmm1
+	movapd		32(%r12), %xmm10 // B[4]
+	addpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm15, %xmm0
+	addpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		32(%r11), %xmm8 // A[4]
+	mulpd		%xmm9, %xmm13
+	movapd 		48(%r11), %xmm9 // A[6]
+
+
+	// unroll 1
+	addpd		%xmm14, %xmm3
+	movapd		48(%r12), %xmm14 // B[6]
+	addpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	addpd		%xmm10, %xmm1
+	movapd		64(%r12), %xmm10 // B[8]
+	addpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm15, %xmm0
+	addpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		64(%r11), %xmm8 // A[8]
+	mulpd		%xmm9, %xmm13
+	movapd 		80(%r11), %xmm9 // A[10]
+
+
+	// unroll 2
+	addpd		%xmm14, %xmm3
+	movapd		80(%r12), %xmm14 // B[10]
+	addpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	subl		$4, %r10d
+
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	addpd		%xmm10, %xmm1
+	movapd		96(%r12), %xmm10 // B[12]
+	addpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	addpd		%xmm15, %xmm0
+	addpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		96(%r11), %xmm8 // A[12]
+	mulpd		%xmm9, %xmm13
+	movapd 		112(%r11), %xmm9 // A[14]
+	
+
+	// unroll 3
+	addpd		%xmm14, %xmm3
+	movapd		112(%r12), %xmm14 // B[14]
+	addpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addq		$128, %r12 // B += 16
+
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addq		$128, %r11 // A += 16
+
+	addpd		%xmm10, %xmm1
+//	movapd		0(%r12), %xmm10 // B[0]
+	addpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+//	cmpl		$4, %r10d
+
+	addpd		%xmm15, %xmm0
+	addpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+//	movapd 		0(%r11), %xmm8 // A[0]
+	mulpd		%xmm9, %xmm13
+//	movapd 		16(%r11), %xmm9 // A[2]
+
+
+	// clean accumulators
+	addpd		%xmm14, %xmm3
+	addpd		%xmm11, %xmm7
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+
+
+	jmp		2f
+
+
+4: // consider clean1-up loop
+
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// clean-up loop
+3: // clean up loop
+	
+
+	// unroll 0
+	addpd		%xmm14, %xmm3
+	movapd		16(%r12), %xmm14 // B[2]
+	addpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	subl	$1, %r10d
+
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addq	$32, %r12
+
+	addpd		%xmm10, %xmm1
+	movapd		32(%r12), %xmm10 // B[0]
+	addpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addq	$32, %r11
+
+	addpd		%xmm15, %xmm0
+	addpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		32(%r11), %xmm8 // A[0]
+	mulpd		%xmm9, %xmm13
+	movapd 		48(%r11), %xmm9 // A[2]
+
+	cmpl	$0, %r10d
+
+	jg		3b // clean up loop 
+
+
+	// clean accumulators
+	addpd		%xmm14, %xmm3
+	addpd		%xmm11, %xmm7
+	addpd		%xmm12, %xmm2
+	addpd		%xmm13, %xmm6
+
+
+2: // return
+
+#if MACRO_LEVEL>=2
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_kernel_dgemm_add_nt_4x4_lib4, .-inner_kernel_dgemm_add_nt_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// input arguments:
+// r10d   <- k
+// r11   <- A
+// r12   <- B
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+//
+// output arguments:
+// r10d  <- 0
+// r11   <- A+4*k*sizeof(double)
+// r12   <- B+4*k*sizeof(double)
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=2
+	.macro INNER_KERNEL_DGEMM_SUB_NT_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_kernel_dgemm_sub_nt_4x4_lib4, @function
+inner_kernel_dgemm_sub_nt_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_kernel_dgemm_sub_nt_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_kernel_dgemm_sub_nt_4x4_lib4; .scl 2; .type 32; .endef
+inner_kernel_dgemm_sub_nt_4x4_lib4:
+#endif
+#endif
+	
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// prefetch
+	movapd		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+	movapd		0(%r12), %xmm10 // B[0]
+
+	xorpd		%xmm11, %xmm11
+	movapd		%xmm11, %xmm12
+	movapd		%xmm11, %xmm13
+	movapd		%xmm11, %xmm14
+	movapd		%xmm11, %xmm15
+
+	cmpl	$4, %r10d
+	jle		0f // consider clean-up loop
+
+	// main loop
+	.p2align 3
+1: // main loop
+
+	// unroll 0
+	subpd		%xmm14, %xmm3
+	movapd		16(%r12), %xmm14 // B[2]
+	subpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	subpd		%xmm10, %xmm1
+	movapd		32(%r12), %xmm10 // B[4]
+	subpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm15, %xmm0
+	subpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		32(%r11), %xmm8 // A[4]
+	mulpd		%xmm9, %xmm13
+	movapd 		48(%r11), %xmm9 // A[6]
+
+
+	// unroll 1
+	subpd		%xmm14, %xmm3
+	movapd		48(%r12), %xmm14 // B[6]
+	subpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	subpd		%xmm10, %xmm1
+	movapd		64(%r12), %xmm10 // B[8]
+	subpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm15, %xmm0
+	subpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		64(%r11), %xmm8 // A[8]
+	mulpd		%xmm9, %xmm13
+	movapd 		80(%r11), %xmm9 // A[10]
+
+
+	// unroll 2
+	subpd		%xmm14, %xmm3
+	movapd		80(%r12), %xmm14 // B[10]
+	subpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	subl		$4, %r10d
+
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	subpd		%xmm10, %xmm1
+	movapd		96(%r12), %xmm10 // B[12]
+	subpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm15, %xmm0
+	subpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		96(%r11), %xmm8 // A[12]
+	mulpd		%xmm9, %xmm13
+	movapd 		112(%r11), %xmm9 // A[14]
+	
+
+	// unroll 3
+	subpd		%xmm14, %xmm3
+	movapd		112(%r12), %xmm14 // B[14]
+	subpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addq		$128, %r12 // B += 16
+
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addq		$128, %r11 // A += 16
+
+	subpd		%xmm10, %xmm1
+	movapd		0(%r12), %xmm10 // B[0]
+	subpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	cmpl		$4, %r10d
+
+	subpd		%xmm15, %xmm0
+	subpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		0(%r11), %xmm8 // A[0]
+	mulpd		%xmm9, %xmm13
+	movapd 		16(%r11), %xmm9 // A[2]
+
+
+	jg		1b // main loop 
+
+
+0: // consider clean4-up
+	
+	cmpl	$3, %r10d
+	jle		4f // clean1
+
+
+	// unroll 0
+	subpd		%xmm14, %xmm3
+	movapd		16(%r12), %xmm14 // B[2]
+	subpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	subpd		%xmm10, %xmm1
+	movapd		32(%r12), %xmm10 // B[4]
+	subpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm15, %xmm0
+	subpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		32(%r11), %xmm8 // A[4]
+	mulpd		%xmm9, %xmm13
+	movapd 		48(%r11), %xmm9 // A[6]
+
+
+	// unroll 1
+	subpd		%xmm14, %xmm3
+	movapd		48(%r12), %xmm14 // B[6]
+	subpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	subpd		%xmm10, %xmm1
+	movapd		64(%r12), %xmm10 // B[8]
+	subpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm15, %xmm0
+	subpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		64(%r11), %xmm8 // A[8]
+	mulpd		%xmm9, %xmm13
+	movapd 		80(%r11), %xmm9 // A[10]
+
+
+	// unroll 2
+	subpd		%xmm14, %xmm3
+	movapd		80(%r12), %xmm14 // B[10]
+	subpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	subl		$4, %r10d
+
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	subpd		%xmm10, %xmm1
+	movapd		96(%r12), %xmm10 // B[12]
+	subpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	subpd		%xmm15, %xmm0
+	subpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		96(%r11), %xmm8 // A[12]
+	mulpd		%xmm9, %xmm13
+	movapd 		112(%r11), %xmm9 // A[14]
+	
+
+	// unroll 3
+	subpd		%xmm14, %xmm3
+	movapd		112(%r12), %xmm14 // B[14]
+	subpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addq		$128, %r12 // B += 16
+
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addq		$128, %r11 // A += 16
+
+	subpd		%xmm10, %xmm1
+//	movapd		0(%r12), %xmm10 // B[0]
+	subpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+//	cmpl		$4, %r10d
+
+	subpd		%xmm15, %xmm0
+	subpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+//	movapd 		0(%r11), %xmm8 // A[0]
+	mulpd		%xmm9, %xmm13
+//	movapd 		16(%r11), %xmm9 // A[2]
+
+
+	// update accumulators
+	subpd		%xmm14, %xmm3
+	subpd		%xmm11, %xmm7
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+
+
+	jmp		2f
+
+
+4: // consider clean1-up loop
+
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// clean-up loop
+3: // clean up loop
+	
+
+	// unroll 0
+	subpd		%xmm14, %xmm3
+	movapd		16(%r12), %xmm14 // B[2]
+	subpd		%xmm11, %xmm7
+	movapd		%xmm10, %xmm11
+	pshufd		$0x4e, %xmm10, %xmm15
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	subl	$1, %r10d
+
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addq	$32, %r12
+
+	subpd		%xmm10, %xmm1
+	movapd		32(%r12), %xmm10 // B[0]
+	subpd		%xmm11, %xmm5
+	movapd		%xmm14, %xmm11
+	pshufd		$0x4e, %xmm14, %xmm12
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addq	$32, %r11
+
+	subpd		%xmm15, %xmm0
+	subpd		%xmm13, %xmm4
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		32(%r11), %xmm8 // A[0]
+	mulpd		%xmm9, %xmm13
+	movapd 		48(%r11), %xmm9 // A[2]
+
+	cmpl	$0, %r10d
+
+	jg		3b // clean up loop 
+
+
+	// update accumulators
+	subpd		%xmm14, %xmm3
+	subpd		%xmm11, %xmm7
+	subpd		%xmm12, %xmm2
+	subpd		%xmm13, %xmm6
+
+
+2: // return
+
+#if MACRO_LEVEL>=2
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_kernel_dgemm_sub_nt_4x4_lib4, .-inner_kernel_dgemm_sub_nt_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// input arguments:
+// r10d   <- k
+// r11   <- A
+// r12   <- B
+// r13   <- 4*sdb*sizeof(double)
+// xmm0  <- [d00 d10]
+// xmm1  <- [d01 d11]
+// xmm2  <- [d02 d12]
+// xmm3  <- [d03 d13]
+// xmm4  <- [d20 d30]
+// xmm5  <- [d21 d31]
+// xmm6  <- [d22 d32]
+// xmm7  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- 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)
+// xmm0  <- [d00 d10]
+// xmm1  <- [d01 d11]
+// xmm2  <- [d02 d12]
+// xmm3  <- [d03 d13]
+// xmm4  <- [d20 d30]
+// xmm5  <- [d21 d31]
+// xmm6  <- [d22 d32]
+// xmm7  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=2
+	.macro INNER_KERNEL_DGEMM_ADD_NN_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_kernel_dgemm_add_nn_4x4_lib4, @function
+inner_kernel_dgemm_add_nn_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_kernel_dgemm_add_nn_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_kernel_dgemm_add_nn_4x4_lib4; .scl 2; .type 32; .endef
+inner_kernel_dgemm_add_nn_4x4_lib4:
+#endif
+#endif
+	
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// prefetch
+	movapd		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+
+	xorpd		%xmm11, %xmm11
+	movapd		%xmm11, %xmm12
+	movapd		%xmm11, %xmm13
+	movapd		%xmm11, %xmm14
+	movapd		%xmm11, %xmm15
+
+
+	cmpl	$4, %r10d
+	jle		0f // consider clean-up loop
+
+	// main loop
+	.p2align 3
+1: // main loop
+
+	prefetcht0	0(%r12, %r13, 2) // software prefetch
+	prefetcht0	64(%r12, %r13, 2) // software prefetch
+
+	// unroll 0
+	movddup		0(%r12), %xmm10 // B[0]
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	movddup		32(%r12), %xmm15 // B[4]
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	movddup		64(%r12), %xmm14 // B[8]
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	movddup		96(%r12), %xmm12 // B[12]
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		32(%r11), %xmm8 // A[4]
+	mulpd		%xmm9, %xmm13
+	movapd 		48(%r11), %xmm9 // A[6]
+
+
+	// unroll 1
+	movddup		8(%r12), %xmm10 // B[1]
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	movddup		40(%r12), %xmm15 // B[5]
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	movddup		72(%r12), %xmm14 // B[9]
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	movddup		104(%r12), %xmm12 // B[13]
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		64(%r11), %xmm8 // A[8]
+	mulpd		%xmm9, %xmm13
+	movapd 		80(%r11), %xmm9 // A[10]
+
+
+	// unroll 2
+	movddup		16(%r12), %xmm10 // B[2]
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	subl		$4, %r10d
+
+	movddup		48(%r12), %xmm15 // B[6]
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	movddup		80(%r12), %xmm14 // B[10]
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	movddup		112(%r12), %xmm12 // B[14]
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		96(%r11), %xmm8 // A[12]
+	mulpd		%xmm9, %xmm13
+	movapd 		112(%r11), %xmm9 // A[14]
+	
+
+	// unroll 3
+	movddup		24(%r12), %xmm10 // B[3]
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	movddup		56(%r12), %xmm15 // B[7]
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addq		$128, %r11 // A += 16
+
+	movddup		88(%r12), %xmm14 // B[11]
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	movddup		120(%r12), %xmm12 // B[15]
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		0(%r11), %xmm8 // A[0]
+	mulpd		%xmm9, %xmm13
+	movapd 		16(%r11), %xmm9 // A[2]
+	addq		%r13, %r12 // B += ...
+
+
+	cmpl		$4, %r10d
+	jg		1b // main loop 
+
+
+0: // consider clean4-up
+	
+	cmpl	$3, %r10d
+	jle		4f // clean1
+
+
+	// unroll 0
+	movddup		0(%r12), %xmm10 // B[0]
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	movddup		32(%r12), %xmm15 // B[4]
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	movddup		64(%r12), %xmm14 // B[8]
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	movddup		96(%r12), %xmm12 // B[12]
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		32(%r11), %xmm8 // A[4]
+	mulpd		%xmm9, %xmm13
+	movapd 		48(%r11), %xmm9 // A[6]
+
+
+	// unroll 1
+	movddup		8(%r12), %xmm10 // B[1]
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	movddup		40(%r12), %xmm15 // B[5]
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	movddup		72(%r12), %xmm14 // B[9]
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	movddup		104(%r12), %xmm12 // B[13]
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		64(%r11), %xmm8 // A[8]
+	mulpd		%xmm9, %xmm13
+	movapd 		80(%r11), %xmm9 // A[10]
+
+
+	// unroll 2
+	movddup		16(%r12), %xmm10 // B[2]
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	subl		$4, %r10d
+
+	movddup		48(%r12), %xmm15 // B[6]
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	movddup		80(%r12), %xmm14 // B[10]
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	movddup		112(%r12), %xmm12 // B[14]
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	movapd 		96(%r11), %xmm8 // A[12]
+	mulpd		%xmm9, %xmm13
+	movapd 		112(%r11), %xmm9 // A[14]
+	
+
+	// unroll 3
+	movddup		24(%r12), %xmm10 // B[3]
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+
+	movddup		56(%r12), %xmm15 // B[7]
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addq		$128, %r11 // A += 16
+
+	movddup		88(%r12), %xmm14 // B[11]
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+
+	movddup		120(%r12), %xmm12 // B[15]
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+//	movapd 		0(%r11), %xmm8 // A[0]
+	mulpd		%xmm9, %xmm13
+//	movapd 		16(%r11), %xmm9 // A[2]
+	addq		%r13, %r12 // B += ...
+
+
+	// clean accumulators
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+
+
+	jmp		2f
+
+
+4: // consider clean1-up loop
+
+	cmpl	$0, %r10d
+	jle		2f // return
+
+	// clean-up loop
+3: // clean up loop
+	
+
+	// unroll 0
+	movapd 		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+
+	movddup		0(%r12), %xmm10 // B[0]
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	subl	$1, %r10d
+
+	movddup		32(%r12), %xmm15 // B[4]
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+
+	movddup		64(%r12), %xmm14 // B[8]
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addq	$32, %r11
+
+	movddup		96(%r12), %xmm12 // B[12]
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	mulpd		%xmm9, %xmm13
+	addq	$8, %r12
+
+	cmpl	$0, %r10d
+	jg		3b // clean up loop 
+
+
+	// clean accumulators
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+
+
+2: // return
+
+#if MACRO_LEVEL>=2
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_kernel_dgemm_add_nn_4x4_lib4, .-inner_kernel_dgemm_add_nn_4x4_lib4
+#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
+// xmm0  <- [d00 d10]
+// xmm1  <- [d01 d11]
+// xmm2  <- [d02 d12]
+// xmm3  <- [d03 d13]
+// xmm4  <- [d20 d30]
+// xmm5  <- [d21 d31]
+// xmm6  <- [d22 d32]
+// xmm7  <- [d23 d33]
+// 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
+// xmm0  <- [d00 d10]
+// xmm1  <- [d01 d11]
+// xmm2  <- [d02 d12]
+// xmm3  <- [d03 d13]
+// xmm4  <- [d20 d30]
+// xmm5  <- [d21 d31]
+// xmm6  <- [d22 d32]
+// xmm7  <- [d23 d33]
+// ymm8  <- dirty
+// ymm12 <- dirty
+// ymm15 <- dirty
+
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_DGEMM_ADD_NN_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_dgemm_add_nn_4x4_lib4, @function
+inner_edge_dgemm_add_nn_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_edge_dgemm_add_nn_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_dgemm_add_nn_4x4_lib4; .scl 2; .type 32; .endef
+inner_edge_dgemm_add_nn_4x4_lib4:
+#endif
+#endif
+	
+	cmpl			$0, %r14d // offset==0
+	jle				2f // end
+
+	cmpl			$0, %r10d // k==0
+	jle				2f // end
+
+	movl			$4, %r15d
+	subl			%r14d, %r15d // 4-offsetB
+	cmpl			%r10d, %r15d
+//	jle				0f
+//	movl			%r10d, %r15d // kend=min(k,4-offsetB)
+//0:
+	cmovgl			%r10d, %r15d // kend=min(k,4-offsetB)
+
+	movl			%r14d, %eax
+	sall			$3, %eax // offsetB*sizeof(double)
+	addq			%rax, %r12 // B+offsetB*sizeof(double)
+
+1:
+	movapd 		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+
+	movddup		0(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		32(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		64(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	movddup		96(%r12), %xmm12 // B[12]
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+
+	subl			$1, %r10d // k-1
+	subl			$1, %r15d // kend-1
+	addq			$32, %r11 // A+1*bs*sizeof(float)
+	addq			$8, %r12 // B+1*sizeof(float)
+
+	cmpl			$0, %r15d
+	jg				1b
+
+	cmpl			$0, %r10d
+	jle				2f // end
+
+	addq			%r13, %r12
+	subq			$32, %r12 // B+bs*(sdb-1)*sizeof(double)
+
+2:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_dgemm_add_nn_4x4_lib4, .-inner_edge_dgemm_add_nn_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// edge for B lower triangular
+//
+// input arguments:
+// r10   <- k
+// r11   <- A
+// r12   <- B
+// r13   <- bs*sdb*sizeof(double)
+// r14   <- offB
+// xmm0  <- [d00 d10]
+// xmm1  <- [d01 d11]
+// xmm2  <- [d02 d12]
+// xmm3  <- [d03 d13]
+// xmm4  <- [d20 d30]
+// xmm5  <- [d21 d31]
+// xmm6  <- [d22 d32]
+// xmm7  <- [d23 d33]
+// 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
+// xmm0  <- [d00 d10]
+// xmm1  <- [d01 d11]
+// xmm2  <- [d02 d12]
+// xmm3  <- [d03 d13]
+// xmm4  <- [d20 d30]
+// xmm5  <- [d21 d31]
+// xmm6  <- [d22 d32]
+// xmm7  <- [d23 d33]
+// ymm8  <- dirty
+// ymm12 <- dirty
+// ymm15 <- dirty
+
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_DTRMM_NN_RL_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_dtrmm_nn_rl_4x4_lib4, @function
+inner_edge_dtrmm_nn_rl_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_edge_dtrmm_nn_rl_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_dtrmm_nn_rl_4x4_lib4; .scl 2; .type 32; .endef
+inner_edge_dtrmm_nn_rl_4x4_lib4:
+#endif
+#endif
+	
+	cmpl	$0, %r14d
+	jg		0f
+
+	// offB==0
+
+	// unroll 0
+	movapd 		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+
+	movddup		0(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	// unroll 1
+	movapd 		32(%r11), %xmm8 // A[0]
+	movapd 		48(%r11), %xmm9 // A[2]
+
+	movddup		8(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		40(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	// unroll 2
+	movapd 		64(%r11), %xmm8 // A[0]
+	movapd 		80(%r11), %xmm9 // A[2]
+
+	movddup		16(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		48(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		80(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	// unroll 3
+	movapd 		96(%r11), %xmm8 // A[0]
+	movapd 		112(%r11), %xmm9 // A[2]
+
+	movddup		24(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		56(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		88(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	movddup		120(%r12), %xmm12 // B[12]
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+
+	subl	$4, %r10d // k-4
+	addq	$128, %r11 // A+4*bs*sizeof(double)
+	addq	%r13, %r12 // B+bs*sdb*sizeof(double)
+
+	jmp		3f
+
+0:
+	cmpl	$1, %r14d
+	jg		1f
+
+	// offB==1
+
+	addq			$8, %r12 // B+1*sizeof(double)
+
+	// unroll 0
+	movapd 		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+
+	movddup		0(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	// unroll 1
+	movapd 		32(%r11), %xmm8 // A[0]
+	movapd 		48(%r11), %xmm9 // A[2]
+
+	movddup		8(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		40(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	// unroll 2
+	movapd 		64(%r11), %xmm8 // A[0]
+	movapd 		80(%r11), %xmm9 // A[2]
+
+	movddup		16(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		48(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		80(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	subl	$3, %r10d // k-3
+	addq	$96, %r11 // A+3*bs*sizeof(double)
+	addq	%r13, %r12
+	subq			$8, %r12 // B+bs*sdb*sizeof(double)-1
+
+	jmp		3f
+
+1:
+	cmpl	$2, %r14d
+	jg		2f
+
+	// offB==2
+
+	addq	$16, %r12 // B+2*sizeof(double)
+
+	// unroll 0
+	movapd 		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+
+	movddup		0(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	// unroll 1
+	movapd 		32(%r11), %xmm8 // A[0]
+	movapd 		48(%r11), %xmm9 // A[2]
+
+	movddup		8(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		40(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	subl	$2, %r10d // k-2
+	addq	$64, %r11 // A+2*bs*sizeof(double)
+	addq	%r13, %r12
+	subq	$16, %r12 // B+bs*sdb*sizeof(double)-2
+
+	// unroll 2
+	movapd 		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+
+	movddup		0(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		32(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		64(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	// unroll 3
+	movapd 		32(%r11), %xmm8 // A[0]
+	movapd 		48(%r11), %xmm9 // A[2]
+
+	movddup		8(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		40(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		72(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	movddup		104(%r12), %xmm12 // B[12]
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+
+	// unroll 4
+	movapd 		64(%r11), %xmm8 // A[0]
+	movapd 		80(%r11), %xmm9 // A[2]
+
+	movddup		16(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		48(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		80(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	movddup		112(%r12), %xmm12 // B[12]
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+
+	// unroll 5
+	movapd 		96(%r11), %xmm8 // A[0]
+	movapd 		112(%r11), %xmm9 // A[2]
+
+	movddup		24(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		56(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		88(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	movddup		120(%r12), %xmm12 // B[12]
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+
+	subl	$4, %r10d // k-4
+	addq	$128, %r11 // A+4*bs*sizeof(double)
+	addq	%r13, %r12 // B+bs*sdb*sizeof(double)
+
+	jmp		3f
+
+2:
+	// offB==3
+
+	addq	$24, %r12 // B+3*sizeof(double)
+
+	// unroll 0
+	movapd 		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+
+	movddup		0(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	subl	$1, %r10d // k-1
+	addq	$32, %r11 // A+1*bs*sizeof(double)
+	addq	%r13, %r12
+	subq	$24, %r12 // B+bs*sdb*sizeof(double)-3
+
+	// unroll 1
+	movapd 		0(%r11), %xmm8 // A[0]
+	movapd 		16(%r11), %xmm9 // A[2]
+
+	movddup		0(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		32(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	// unroll 2
+	movapd 		32(%r11), %xmm8 // A[0]
+	movapd 		48(%r11), %xmm9 // A[2]
+
+	movddup		8(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		40(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		72(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	// unroll 3
+	movapd 		64(%r11), %xmm8 // A[0]
+	movapd 		80(%r11), %xmm9 // A[2]
+
+	movddup		16(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		48(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		80(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	movddup		112(%r12), %xmm12 // B[12]
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+
+	// unroll 4
+	movapd 		96(%r11), %xmm8 // A[0]
+	movapd 		112(%r11), %xmm9 // A[2]
+
+	movddup		24(%r12), %xmm10 // B[0]
+	movapd		%xmm10, %xmm11
+	mulpd		%xmm8, %xmm10
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm10, %xmm0
+	addpd		%xmm11, %xmm4
+
+	movddup		56(%r12), %xmm15 // B[4]
+	movapd		%xmm15, %xmm13
+	mulpd		%xmm8, %xmm15
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm15, %xmm1
+	addpd		%xmm13, %xmm5
+
+	movddup		88(%r12), %xmm14 // B[8]
+	movapd		%xmm14, %xmm11
+	mulpd		%xmm8, %xmm14
+	mulpd		%xmm9, %xmm11
+	addpd		%xmm14, %xmm2
+	addpd		%xmm11, %xmm6
+
+	movddup		120(%r12), %xmm12 // B[12]
+	movapd		%xmm12, %xmm13
+	mulpd		%xmm8, %xmm12
+	mulpd		%xmm9, %xmm13
+	addpd		%xmm12, %xmm3
+	addpd		%xmm13, %xmm7
+
+	subl	$4, %r10d // k-4
+	addq	$128, %r11 // A+4*bs*sizeof(double)
+	addq	%r13, %r12 // B+bs*sdb*sizeof(double)
+
+3:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_dtrmm_nn_rl_4x4_lib4, .-inner_edge_dtrmm_nn_rl_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// edge for B upper triangular
+//
+// input arguments:
+// r10   <- A
+// r11   <- B
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+//
+// output arguments:
+// r10   <- A+4*4*sizeof(double)
+// r11   <- B+4*4*sizeof(double)
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_DTRMM_NT_RU_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_dtrmm_nt_ru_4x4_lib4, @function
+inner_edge_dtrmm_nt_ru_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_edge_dtrmm_nt_ru_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_dtrmm_nt_ru_4x4_lib4; .scl 2; .type 32; .endef
+inner_edge_dtrmm_nt_ru_4x4_lib4:
+#endif
+#endif
+	
+	movapd			0(%r10), %xmm8
+	movapd			16(%r10), %xmm9
+	movddup			0(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm0
+	addpd			%xmm13, %xmm4
+
+	movapd			32(%r10), %xmm8
+	movapd			48(%r10), %xmm9
+	movddup			32(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm0
+	addpd			%xmm13, %xmm4
+	movddup			40(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm1
+	addpd			%xmm13, %xmm5
+
+	movapd			64(%r10), %xmm8
+	movapd			80(%r10), %xmm9
+	movddup			64(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm0
+	addpd			%xmm13, %xmm4
+	movddup			72(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm1
+	addpd			%xmm13, %xmm5
+	movddup			80(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm2
+	addpd			%xmm13, %xmm6
+
+	movapd			96(%r10), %xmm8
+	movapd			112(%r10), %xmm9
+	movddup			96(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm0
+	addpd			%xmm13, %xmm4
+	movddup			104(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm1
+	addpd			%xmm13, %xmm5
+	movddup			112(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm2
+	addpd			%xmm13, %xmm6
+	movddup			120(%r11), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm3
+	addpd			%xmm13, %xmm7
+
+	addq			$128, %r10
+	addq			$128, %r11
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_dtrmm_nt_ru_4x4_lib4, .-inner_edge_dtrmm_nt_ru_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// edge for B upper triangular
+//
+// input arguments:
+// r10d  <- k
+// r11   <- A
+// r12   <- B
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+//
+// output arguments:
+// r10d  <- max(k-4,0)
+// r11   <- A+4*4*sizeof(double)
+// r12   <- B+4*4*sizeof(double)
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_DTRMM_NT_RU_4X4_VS_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_dtrmm_nt_ru_4x4_vs_lib4, @function
+inner_edge_dtrmm_nt_ru_4x4_vs_lib4:
+#elif defined(OS_MAC)
+_inner_edge_dtrmm_nt_ru_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_dtrmm_nt_ru_4x4_vs_lib4; .scl 2; .type 32; .endef
+inner_edge_dtrmm_nt_ru_4x4_vs_lib4:
+#endif
+#endif
+	
+	movapd			0(%r11), %xmm8
+	movapd			16(%r11), %xmm9
+	subl			$1, %r10d
+	movddup			0(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm0
+	addpd			%xmm13, %xmm4
+	addq			$32, %r11
+	addq			$32, %r12
+
+	cmpl	$0, %r10d
+	jle		0f
+
+	movapd			0(%r11), %xmm8
+	movapd			16(%r11), %xmm9
+	subl			$1, %r10d
+	movddup			0(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm0
+	addpd			%xmm13, %xmm4
+	addq			$32, %r11
+	movddup			8(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm1
+	addpd			%xmm13, %xmm5
+	addq			$32, %r12
+
+	cmpl	$0, %r10d
+	jle		0f
+
+	movapd			0(%r11), %xmm8
+	movapd			16(%r11), %xmm9
+	subl			$1, %r10d
+	movddup			0(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm0
+	addpd			%xmm13, %xmm4
+	movddup			8(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm1
+	addpd			%xmm13, %xmm5
+	addq			$32, %r11
+	movddup			16(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm2
+	addpd			%xmm13, %xmm6
+	addq			$32, %r12
+
+	cmpl	$0, %r10d
+	jle		0f
+
+	movapd			0(%r11), %xmm8
+	movapd			16(%r11), %xmm9
+	subl			$1, %r10d
+	movddup			0(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm0
+	addpd			%xmm13, %xmm4
+	movddup			8(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm1
+	addpd			%xmm13, %xmm5
+	movddup			16(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm2
+	addpd			%xmm13, %xmm6
+	addq			$32, %r11
+	movddup			24(%r12), %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm8, %xmm12
+	mulpd			%xmm9, %xmm13
+	addpd			%xmm12, %xmm3
+	addpd			%xmm13, %xmm7
+	addq			$32, %r12
+
+0:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_dtrmm_nt_ru_4x4_vs_lib4, .-inner_edge_dtrmm_nt_ru_4x4_vs_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// blend
+//
+// input arguments:
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+// output arguments:
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_BLEND_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_4x4_lib4, @function
+inner_blend_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_blend_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_4x4_lib4; .scl 2; .type 32; .endef
+inner_blend_4x4_lib4:
+#endif
+#endif
+	
+	movapd	%xmm0, %xmm8
+	movsd	%xmm1, %xmm0
+	movsd	%xmm8, %xmm1
+
+	movapd	%xmm2, %xmm8
+	movsd	%xmm3, %xmm2
+	movsd	%xmm8, %xmm3
+
+	movapd	%xmm4, %xmm8
+	movsd	%xmm5, %xmm4
+	movsd	%xmm8, %xmm5
+
+	movapd	%xmm6, %xmm8
+	movsd	%xmm7, %xmm6
+	movsd	%xmm8, %xmm7
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_blend_4x4_lib4, .-inner_blend_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// scale for generic alpha and beta
+//
+// input arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12   <- C
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+// output arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12   <- C
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_SCALE_AB_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_scale_ab_4x4_lib4, @function
+inner_scale_ab_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_scale_ab_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_scale_ab_4x4_lib4; .scl 2; .type 32; .endef
+inner_scale_ab_4x4_lib4:
+#endif
+#endif
+	
+	// alpha
+	movddup	0(%r10), %xmm15
+
+	mulpd	%xmm15, %xmm0
+	mulpd	%xmm15, %xmm1
+	mulpd	%xmm15, %xmm2
+	mulpd	%xmm15, %xmm3
+	mulpd	%xmm15, %xmm4
+	mulpd	%xmm15, %xmm5
+	mulpd	%xmm15, %xmm6
+	mulpd	%xmm15, %xmm7
+
+
+	// beta
+	movddup	0(%r11), %xmm14
+
+	movapd		0(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm0
+	movapd		16(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm4
+	movapd		32(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm1
+	movapd		48(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm5
+	movapd		64(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm2
+	movapd		80(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm6
+	movapd		96(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm3
+	movapd		112(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm7
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_scale_ab_4x4_lib4, .-inner_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// scale for generic alpha and beta=0.0
+//
+// input arguments:
+// r10   <- alpha
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+// output arguments:
+// r10   <- alpha
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_SCALE_A0_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_scale_a0_4x4_lib4, @function
+inner_scale_a0_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_scale_a0_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_scale_a0_4x4_lib4; .scl 2; .type 32; .endef
+inner_scale_a0_4x4_lib4:
+#endif
+#endif
+	
+	// alpha
+	movddup	0(%r10), %xmm15
+
+	mulpd	%xmm15, %xmm0
+	mulpd	%xmm15, %xmm1
+	mulpd	%xmm15, %xmm2
+	mulpd	%xmm15, %xmm3
+	mulpd	%xmm15, %xmm4
+	mulpd	%xmm15, %xmm5
+	mulpd	%xmm15, %xmm6
+	mulpd	%xmm15, %xmm7
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_scale_a0_4x4_lib4, .-inner_scale_a0_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// scale for generic alpha and beta
+//
+// input arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12   <- C
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+// output arguments:
+// r10   <- alpha
+// r11   <- beta
+// r12   <- C
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_BLEND_SCALE_AB_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_scale_ab_4x4_lib4, @function
+inner_blend_scale_ab_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_blend_scale_ab_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_scale_ab_4x4_lib4; .scl 2; .type 32; .endef
+inner_blend_scale_ab_4x4_lib4:
+#endif
+#endif
+	
+	movapd	%xmm0, %xmm8
+	movsd	%xmm1, %xmm0
+	movsd	%xmm8, %xmm1
+
+	movapd	%xmm2, %xmm8
+	movsd	%xmm3, %xmm2
+	movsd	%xmm8, %xmm3
+
+	movapd	%xmm4, %xmm8
+	movsd	%xmm5, %xmm4
+	movsd	%xmm8, %xmm5
+
+	movapd	%xmm6, %xmm8
+	movsd	%xmm7, %xmm6
+	movsd	%xmm8, %xmm7
+
+	// alpha
+	movddup	0(%r10), %xmm15
+
+	mulpd	%xmm15, %xmm0
+	mulpd	%xmm15, %xmm1
+	mulpd	%xmm15, %xmm2
+	mulpd	%xmm15, %xmm3
+	mulpd	%xmm15, %xmm4
+	mulpd	%xmm15, %xmm5
+	mulpd	%xmm15, %xmm6
+	mulpd	%xmm15, %xmm7
+
+
+	// beta
+	movddup	0(%r11), %xmm14
+
+	movapd		0(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm0
+	movapd		16(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm4
+	movapd		32(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm1
+	movapd		48(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm5
+	movapd		64(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm2
+	movapd		80(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm6
+	movapd		96(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm3
+	movapd		112(%r12), %xmm15
+	mulpd		%xmm14, %xmm15
+	addpd		%xmm15, %xmm7
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_blend_scale_ab_4x4_lib4, .-inner_blend_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// blender for alpha = 1.0 and beta = 1.0
+//
+// input arguments:
+// r10   <- C
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+// output arguments:
+// r10   <- C
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_BLEND_SCALE_11_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_blend_scale_11_4x4_lib4, @function
+inner_blend_scale_11_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_blend_scale_11_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_blend_scale_11_4x4_lib4; .scl 2; .type 32; .endef
+inner_blend_scale_11_4x4_lib4:
+#endif
+#endif	
+	
+	movapd	%xmm0, %xmm8
+	movsd	%xmm1, %xmm0
+	movsd	%xmm8, %xmm1
+
+	movapd	%xmm2, %xmm8
+	movsd	%xmm3, %xmm2
+	movsd	%xmm8, %xmm3
+
+	movapd	%xmm4, %xmm8
+	movsd	%xmm5, %xmm4
+	movsd	%xmm8, %xmm5
+
+	movapd	%xmm6, %xmm8
+	movsd	%xmm7, %xmm6
+	movsd	%xmm8, %xmm7
+
+
+	movapd		0(%r10), %xmm15
+	addpd		%xmm15, %xmm0
+	movapd		16(%r10), %xmm15
+	addpd		%xmm15, %xmm4
+	movapd		32(%r10), %xmm15
+	addpd		%xmm15, %xmm1
+	movapd		48(%r10), %xmm15
+	addpd		%xmm15, %xmm5
+	movapd		64(%r10), %xmm15
+	addpd		%xmm15, %xmm2
+	movapd		80(%r10), %xmm15
+	addpd		%xmm15, %xmm6
+	movapd		96(%r10), %xmm15
+	addpd		%xmm15, %xmm3
+	movapd		112(%r10), %xmm15
+	addpd		%xmm15, %xmm7
+
+	ret
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+#if defined(OS_LINUX)
+	.size	inner_blend_scale_11_4x4_lib4, .-inner_blend_scale_11_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// cholesky factorization 
+//
+// input arguments:
+// r10  <- inv_diag_E
+// r11d <- kn
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+//
+// output arguments:
+// r10  <- inv_diag_E
+// r11d <- kn
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_DPOTRF_4X4_VS_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_dpotrf_4x4_vs_lib4, @function
+inner_edge_dpotrf_4x4_vs_lib4:
+#elif defined(OS_MAC)
+_inner_edge_dpotrf_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_dpotrf_4x4_vs_lib4; .scl 2; .type 32; .endef
+inner_edge_dpotrf_4x4_vs_lib4:
+#endif
+#endif
+	
+	xorpd			%xmm15, %xmm15 // 0.0
+
+	movsd			%xmm0, %xmm13
+	ucomisd			%xmm15, %xmm13 // d_00 > 0.0 ?
+	jbe				1f
+	sqrtsd			%xmm13, %xmm13
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	movsd			.LC04(%rip), %xmm12 // 1.0
+#elif defined(OS_MAC)
+	movsd			LC04(%rip), %xmm12 // 1.0
+#endif
+	divsd			%xmm13, %xmm12
+2:
+	cmpl			$2, %r11d
+	movsd			%xmm12, 0(%r10)
+	movddup			%xmm12, %xmm12
+	mulpd			%xmm12, %xmm0
+	mulpd			%xmm12, %xmm4
+
+	jl				0f // ret
+
+	movapd			%xmm0, %xmm12
+	shufpd			$0x3, %xmm12, %xmm12
+	movapd			%xmm12, %xmm13
+	mulpd			%xmm0, %xmm12
+	mulpd			%xmm4, %xmm13
+	subpd			%xmm12, %xmm1
+	subpd			%xmm13, %xmm5
+	movapd			%xmm1, %xmm13
+	shufpd			$0x3, %xmm13, %xmm13 // 0x1 ???
+	ucomisd			%xmm15, %xmm13 // d_11 > 0.0 ?
+	jbe				3f
+	sqrtsd			%xmm13, %xmm13
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	movsd			.LC04(%rip), %xmm12 // 1.0
+#elif defined(OS_MAC)
+	movsd			LC04(%rip), %xmm12 // 1.0
+#endif
+	divsd			%xmm13, %xmm12
+4:
+	cmpl			$3, %r11d
+	movsd			%xmm12, 8(%r10)
+	movddup			%xmm12, %xmm12
+	mulpd			%xmm12, %xmm1
+	mulpd			%xmm12, %xmm5
+
+	jl				0f // ret
+
+	movddup			%xmm4, %xmm12
+	movddup			%xmm5, %xmm13
+	mulpd			%xmm4, %xmm12
+	mulpd			%xmm5, %xmm13
+	subpd			%xmm12, %xmm6
+	subpd			%xmm13, %xmm6
+	movsd			%xmm6, %xmm13
+	ucomisd			%xmm15, %xmm13 // d_22 > 0.0 ?
+	jbe				5f
+	sqrtsd			%xmm13, %xmm13
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	movsd			.LC04(%rip), %xmm12 // 1.0
+#elif defined(OS_MAC)
+	movsd			LC04(%rip), %xmm12 // 1.0
+#endif
+	divsd			%xmm13, %xmm12
+6:
+	cmpl			$4, %r11d
+	movsd			%xmm12, 16(%r10)
+	movddup			%xmm12, %xmm12
+	mulpd			%xmm12, %xmm6
+
+	jl				0f // ret
+
+	movapd			%xmm4, %xmm12
+	movapd			%xmm5, %xmm13
+	movapd			%xmm6, %xmm14
+	shufpd			$0x3, %xmm12, %xmm12
+	shufpd			$0x3, %xmm13, %xmm13
+	shufpd			$0x3, %xmm14, %xmm14
+	mulpd			%xmm4, %xmm12
+	mulpd			%xmm5, %xmm13
+	mulpd			%xmm6, %xmm14
+	subpd			%xmm12, %xmm7
+	subpd			%xmm13, %xmm7
+	subpd			%xmm14, %xmm7
+	movapd			%xmm7, %xmm13
+	shufpd			$0x3, %xmm13, %xmm13
+	ucomisd			%xmm15, %xmm13 // d_33 > 0.0 ?
+	jbe				7f
+	sqrtsd			%xmm13, %xmm13
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	movsd			.LC04(%rip), %xmm12 // 1.0
+#elif defined(OS_MAC)
+	movsd			LC04(%rip), %xmm12 // 1.0
+#endif
+	divsd			%xmm13, %xmm12
+8:
+	movsd			%xmm12, 24(%r10)
+	movddup			%xmm12, %xmm12
+	mulpd			%xmm12, %xmm7
+
+	jmp		0f
+	
+1:
+	xorpd	%xmm12, %xmm12
+	jmp		2b
+
+3:
+	xorpd	%xmm12, %xmm12
+	jmp		4b
+
+5:
+	xorpd	%xmm12, %xmm12
+	jmp		6b
+
+7:
+	xorpd	%xmm12, %xmm12
+	jmp		8b
+
+0:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_dpotrf_4x4_vs_lib4, .-inner_edge_dpotrf_4x4_vs_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// triangular substitution for cholesky factorization 
+//
+// input arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+//
+// output arguments:
+// r10  <- E
+// r11  <- inv_diag_E
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_DTRSM_RLT_INV_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_dtrsm_rlt_inv_4x4_lib4, @function
+inner_edge_dtrsm_rlt_inv_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_edge_dtrsm_rlt_inv_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_dtrsm_rlt_inv_4x4_lib4; .scl 2; .type 32; .endef
+inner_edge_dtrsm_rlt_inv_4x4_lib4:
+#endif
+#endif
+	
+	movddup			0(%r11), %xmm13
+	mulpd			%xmm13, %xmm0
+	mulpd			%xmm13, %xmm4
+
+	movddup			8(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm0, %xmm13
+	mulpd			%xmm4, %xmm12
+	subpd			%xmm13, %xmm1
+	subpd			%xmm12, %xmm5
+	movddup			8(%r11), %xmm13
+	mulpd			%xmm13, %xmm1
+	mulpd			%xmm13, %xmm5
+
+	movddup			16(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm0, %xmm12
+	mulpd			%xmm4, %xmm13
+	subpd			%xmm12, %xmm2
+	subpd			%xmm13, %xmm6
+	movddup			48(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm1, %xmm12
+	mulpd			%xmm5, %xmm13
+	subpd			%xmm12, %xmm2
+	subpd			%xmm13, %xmm6
+	movddup			16(%r11), %xmm13
+	mulpd			%xmm13, %xmm2
+	mulpd			%xmm13, %xmm6
+
+	movddup			24(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm0, %xmm12
+	mulpd			%xmm4, %xmm13
+	subpd			%xmm12, %xmm3
+	subpd			%xmm13, %xmm7
+	movddup			56(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm1, %xmm12
+	mulpd			%xmm5, %xmm13
+	subpd			%xmm12, %xmm3
+	subpd			%xmm13, %xmm7
+	movddup			88(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm2, %xmm12
+	mulpd			%xmm6, %xmm13
+	subpd			%xmm12, %xmm3
+	subpd			%xmm13, %xmm7
+	movddup			24(%r11), %xmm13
+	mulpd			%xmm13, %xmm3
+	mulpd			%xmm13, %xmm7
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_dtrsm_rlt_inv_4x4_lib4, .-inner_edge_dtrsm_rlt_inv_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// triangular substitution for cholesky factorization 
+//
+// input arguments:
+// r10  <- D
+// r11  <- inv_diag_D
+// r12d <- kn
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+//
+// output arguments:
+// r10  <- D
+// r11  <- inv_diag_D
+// r12d <- kn
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_EDGE_DTRSM_RLT_INV_4X4_VS_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_edge_dtrsm_rlt_inv_4x4_vs_lib4, @function
+inner_edge_dtrsm_rlt_inv_4x4_vs_lib4:
+#elif defined(OS_MAC)
+_inner_edge_dtrsm_rlt_inv_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_edge_dtrsm_rlt_inv_4x4_vs_lib4; .scl 2; .type 32; .endef
+inner_edge_dtrsm_rlt_inv_4x4_vs_lib4:
+#endif
+#endif
+	
+	movddup			0(%r11), %xmm13
+	cmpl			$2, %r12d
+	mulpd			%xmm13, %xmm0
+	mulpd			%xmm13, %xmm4
+
+	jl				0f // ret
+
+	movddup			8(%r10), %xmm13
+	cmpl			$3, %r12d
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm0, %xmm13
+	mulpd			%xmm4, %xmm12
+	subpd			%xmm13, %xmm1
+	subpd			%xmm12, %xmm5
+	movddup			8(%r11), %xmm13
+	mulpd			%xmm13, %xmm1
+	mulpd			%xmm13, %xmm5
+
+	jl				0f // ret
+
+	movddup			16(%r10), %xmm13
+	cmpl			$4, %r12d
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm0, %xmm12
+	mulpd			%xmm4, %xmm13
+	subpd			%xmm12, %xmm2
+	subpd			%xmm13, %xmm6
+	movddup			48(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm1, %xmm12
+	mulpd			%xmm5, %xmm13
+	subpd			%xmm12, %xmm2
+	subpd			%xmm13, %xmm6
+	movddup			16(%r11), %xmm13
+	mulpd			%xmm13, %xmm2
+	mulpd			%xmm13, %xmm6
+
+	jl				0f // ret
+
+	movddup			24(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm0, %xmm12
+	mulpd			%xmm4, %xmm13
+	subpd			%xmm12, %xmm3
+	subpd			%xmm13, %xmm7
+	movddup			56(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm1, %xmm12
+	mulpd			%xmm5, %xmm13
+	subpd			%xmm12, %xmm3
+	subpd			%xmm13, %xmm7
+	movddup			88(%r10), %xmm13
+	movapd			%xmm13, %xmm12
+	mulpd			%xmm2, %xmm12
+	mulpd			%xmm6, %xmm13
+	subpd			%xmm12, %xmm3
+	subpd			%xmm13, %xmm7
+	movddup			24(%r11), %xmm13
+	mulpd			%xmm13, %xmm3
+	mulpd			%xmm13, %xmm7
+
+0:
+	
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_edge_dtrsm_rlt_inv_4x4_vs_lib4, .-inner_edge_dtrsm_rlt_inv_4x4_vs_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store n
+//
+// input arguments:
+// r10  <- D
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+//
+// output arguments:
+// r10  <- D
+// xmm0  <- [d00 d10]
+// xmm1  <- [d01 d11]
+// xmm2  <- [d02 d12]
+// xmm3  <- [d03 d13]
+// xmm4  <- [d20 d30]
+// xmm5  <- [d21 d31]
+// xmm6  <- [d22 d32]
+// xmm7  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_4x4_lib4, @function
+inner_store_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_store_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_store_4x4_lib4; .scl 2; .type 32; .endef
+inner_store_4x4_lib4:
+#endif
+#endif
+	
+	movapd %xmm0,   0(%r10)
+	movapd %xmm4,  16(%r10)
+	movapd %xmm1,  32(%r10)
+	movapd %xmm5,  48(%r10)
+	movapd %xmm2,  64(%r10)
+	movapd %xmm6,  80(%r10)
+	movapd %xmm3,  96(%r10)
+	movapd %xmm7, 112(%r10)
+	
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_4x4_lib4, .-inner_store_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store n vs
+//
+// input arguments:
+// r10   <- D
+// r11d   <- km
+// r12d   <- kn
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+//
+// output arguments:
+// r10   <- D
+// r11d   <- km
+// r12d   <- kn
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_4X4_VS_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_4x4_vs_lib4, @function
+inner_store_4x4_vs_lib4:
+#elif defined(OS_MAC)
+_inner_store_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_store_4x4_vs_lib4; .scl 2; .type 32; .endef
+inner_store_4x4_vs_lib4:
+#endif
+#endif
+	
+	cmpl		$2, %r11d
+	jg			1f
+	je			0f
+
+	// km==1
+	movsd		%xmm0,  0(%r10)
+	cmpl		$2, %r12d
+	jl			4f // end
+	movsd		%xmm1, 32(%r10)
+	cmpl		$3, %r12d
+	jl			4f // end
+	movsd		%xmm2, 64(%r10)
+	je			4f // end
+	movsd		%xmm3, 96(%r10)
+
+	jmp		4f
+
+0:
+	// km==2
+	movapd		%xmm0,  0(%r10)
+	cmpl		$2, %r12d
+	jl			4f // end
+	movapd		%xmm1, 32(%r10)
+	cmpl		$3, %r12d
+	jl			4f // end
+	movapd		%xmm2, 64(%r10)
+	je			4f // end
+	movapd		%xmm3, 96(%r10)
+
+	jmp		4f
+
+1:
+	cmpl		$3, %r11d
+	jg			2f
+
+	// km==3
+	movapd		%xmm0,   0(%r10)
+	movsd		%xmm4,  16(%r10)
+	cmpl		$2, %r12d
+	jl			4f // end
+	movapd		%xmm1,  32(%r10)
+	movsd		%xmm5,  48(%r10)
+	cmpl		$3, %r12d
+	jl			4f // end
+	movapd		%xmm2,  64(%r10)
+	movsd		%xmm6,  80(%r10)
+	je			4f // end
+	movapd		%xmm3,  96(%r10)
+	movsd		%xmm7, 112(%r10)
+
+	jmp		4f
+
+2:
+	// km==4
+	movapd		%xmm0,   0(%r10)
+	movapd		%xmm4,  16(%r10)
+	cmpl		$2, %r12d
+	jl			4f // end
+	movapd		%xmm1,  32(%r10)
+	movapd		%xmm5,  48(%r10)
+	cmpl		$3, %r12d
+	jl			4f // end
+	movapd		%xmm2,  64(%r10)
+	movapd		%xmm6,  80(%r10)
+	je			4f // end
+	movapd		%xmm3,  96(%r10)
+	movapd		%xmm7, 112(%r10)
+
+4:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_4x4_vs_lib4, .-inner_store_4x4_vs_lib4
+#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
+// xmm0 <-
+//
+// 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
+// xmm0 <-
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_4X4_GEN_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_4x4_gen_lib4, @function
+inner_store_4x4_gen_lib4:
+#elif defined(OS_MAC)
+_inner_store_4x4_gen_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_store_4x4_gen_lib4; .scl 2; .type 32; .endef
+inner_store_4x4_gen_lib4:
+#endif
+#endif
+	
+	// masks computation ???
+
+	// shift D and sol for cols
+	cmpl	$0, %r15d
+	jle		0f
+
+	vmovapd		%xmm1, %xmm0
+	vmovapd		%xmm5, %xmm4
+	vmovapd		%xmm2, %xmm1
+	vmovapd		%xmm6, %xmm5
+	vmovapd		%xmm3, %xmm2
+	vmovapd		%xmm7, %xmm6
+	addq		$32, %r11
+
+	cmpl	$1, %r15d
+	jle		0f
+
+	vmovapd		%xmm1, %xmm0
+	vmovapd		%xmm5, %xmm4
+	vmovapd		%xmm2, %xmm1
+	vmovapd		%xmm6, %xmm5
+	addq		$32, %r11
+
+	cmpl	$2, %r15d
+	jle		0f
+
+	vmovapd		%xmm1, %xmm0
+	vmovapd		%xmm5, %xmm4
+	addq		$32, %r11
+
+0:
+
+	// compute number of cols
+	cmpl	$4, %eax
+	jle		0f
+	movl	$4, %eax
+0:
+	subl	%r15d, %eax
+	movl	%eax, %r15d
+
+
+	cmpl	$0, %r10d
+	jg		0f
+
+	///////////////
+	// offset==0 //
+	///////////////
+
+	cmpl	$0, %r13d
+	jle		4f
+
+	cmpl	$1, %r13d
+	jg		5f
+
+	movsd	0(%r11), %xmm8
+	movsd	%xmm8, %xmm0
+	movsd	32(%r11), %xmm8
+	movsd	%xmm8, %xmm1
+	movsd	64(%r11), %xmm8
+	movsd	%xmm8, %xmm2
+	movsd	96(%r11), %xmm8
+	movsd	%xmm8, %xmm3
+
+	jmp		4f
+
+5:
+
+	cmpl	$2, %r13d
+	jg		5f
+
+	movapd	0(%r11), %xmm0
+	movapd	32(%r11), %xmm1
+	movapd	64(%r11), %xmm2
+	movapd	96(%r11), %xmm3
+
+	jmp		4f
+
+5:
+
+	cmpl	$3, %r13d
+	jg		5f
+
+	movapd	0(%r11), %xmm0
+	movsd	16(%r11), %xmm8
+	movsd	%xmm8, %xmm4
+	movapd	32(%r11), %xmm1
+	movsd	48(%r11), %xmm8
+	movsd	%xmm8, %xmm5
+	movapd	64(%r11), %xmm2
+	movsd	80(%r11), %xmm8
+	movsd	%xmm8, %xmm6
+	movapd	96(%r11), %xmm3
+	movsd	112(%r11), %xmm8
+	movsd	%xmm8, %xmm7
+
+	jmp		4f
+
+5:
+
+	movapd	0(%r11), %xmm0
+	movapd	16(%r11), %xmm4
+	movapd	32(%r11), %xmm1
+	movapd	48(%r11), %xmm5
+	movapd	64(%r11), %xmm2
+	movapd	80(%r11), %xmm6
+	movapd	96(%r11), %xmm3
+	movapd	112(%r11), %xmm7
+
+4:
+	cmpl		$2, %r14d
+	jg			5f
+	je			4f
+
+	// km==1
+	movsd		%xmm0,  0(%r11)
+	cmpl		$2, %r15d
+	jl			3f // end
+	movsd		%xmm1, 32(%r11)
+	cmpl		$3, %r15d
+	jl			3f // end
+	movsd		%xmm2, 64(%r11)
+	je			3f // end
+	movsd		%xmm3, 96(%r11)
+
+	jmp		3f
+
+4:
+	// km==2
+	movapd		%xmm0,  0(%r11)
+	cmpl		$2, %r15d
+	jl			3f // end
+	movapd		%xmm1, 32(%r11)
+	cmpl		$3, %r15d
+	jl			3f // end
+	movapd		%xmm2, 64(%r11)
+	je			3f // end
+	movapd		%xmm3, 96(%r11)
+
+	jmp		3f
+
+5:
+	cmpl		$3, %r14d
+	jg			6f
+
+	// km==3
+	movapd		%xmm0,   0(%r11)
+	movsd		%xmm4,  16(%r11)
+	cmpl		$2, %r15d
+	jl			3f // end
+	movapd		%xmm1,  32(%r11)
+	movsd		%xmm5,  48(%r11)
+	cmpl		$3, %r15d
+	jl			3f // end
+	movapd		%xmm2,  64(%r11)
+	movsd		%xmm6,  80(%r11)
+	je			3f // end
+	movapd		%xmm3,  96(%r11)
+	movsd		%xmm7, 112(%r11)
+
+	jmp		3f
+
+6:
+	// km==4
+	movapd		%xmm0,   0(%r11)
+	movapd		%xmm4,  16(%r11)
+	cmpl		$2, %r15d
+	jl			3f // end
+	movapd		%xmm1,  32(%r11)
+	movapd		%xmm5,  48(%r11)
+	cmpl		$3, %r15d
+	jl			3f // end
+	movapd		%xmm2,  64(%r11)
+	movapd		%xmm6,  80(%r11)
+	je			3f // end
+	movapd		%xmm3,  96(%r11)
+	movapd		%xmm7, 112(%r11)
+
+	jmp		3f
+
+0:
+	
+	movq	%r11, %rbx // D0
+	addq	%r12, %rbx // D1 <- D0 + 4*sdd*sizeof(double)
+
+	cmpl	$1, %r10d
+	jg		1f
+
+	///////////////
+	// offset==1 //
+	///////////////
+
+	// TODO
+
+	jmp		3f
+
+1:
+
+	cmpl	$2, %r10d
+	jg		2f
+
+	///////////////
+	// offset==2 //
+	///////////////
+
+	// TODO
+
+	jmp		3f
+
+2:
+
+	///////////////
+	// offset==3 //
+	///////////////
+
+	// TODO
+
+3:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_4x4_gen_lib4, .-inner_store_4x4_gen_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store n lower triangular
+//
+// input arguments:
+// r10   <- D
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+//
+// output arguments:
+// r10   <- D
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_L_4X4_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_l_4x4_lib4, @function
+inner_store_l_4x4_lib4:
+#elif defined(OS_MAC)
+_inner_store_l_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_store_l_4x4_lib4; .scl 2; .type 32; .endef
+inner_store_l_4x4_lib4:
+#endif
+#endif
+	
+	movapd		%xmm0,   0(%r10)
+	movapd		%xmm4,  16(%r10)
+	movsd		32(%r10), %xmm15
+	movsd		%xmm15, %xmm1
+	movapd		%xmm1,  32(%r10)
+	movapd		%xmm5,  48(%r10)
+//	movapd		%xmm2,  64(%r10)
+	movapd		%xmm6,  80(%r10)
+//	movapd		%xmm3,  96(%r10)
+	movsd		112(%r10), %xmm15
+	movsd		%xmm15, %xmm7
+	movapd		%xmm7, 112(%r10)
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_l_4x4_lib4, .-inner_store_l_4x4_lib4
+#endif
+#endif
+
+
+
+
+
+// common inner routine with file scope
+//
+// store n vs lower triangular
+//
+// input arguments:
+// r10   <- D
+// r11d   <- km
+// r12d   <- kn
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+//
+// output arguments:
+// r10   <- D
+// r11d   <- km
+// r12d   <- kn
+// xmm0  <- [d00 d10]
+// xmm1  <- [d20 d30]
+// xmm2  <- [d01 d11]
+// xmm3  <- [d21 d31]
+// xmm0  <- [d02 d12]
+// xmm1  <- [d22 d32]
+// xmm2  <- [d03 d13]
+// xmm3  <- [d23 d33]
+// xmm8  <- dirty
+// xmm9  <- dirty
+// xmm10 <- dirty
+// xmm11 <- dirty
+// xmm12 <- dirty
+// xmm13 <- dirty
+// xmm14 <- dirty
+// xmm15 <- dirty
+
+#if MACRO_LEVEL>=1
+	.macro INNER_STORE_L_4X4_VS_LIB4
+#else
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.type inner_store_l_4x4_vs_lib4, @function
+inner_store_l_4x4_vs_lib4:
+#elif defined(OS_MAC)
+_inner_store_l_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.def inner_store_l_4x4_vs_lib4; .scl 2; .type 32; .endef
+inner_store_l_4x4_vs_lib4:
+#endif
+#endif
+	
+	cmpl		$2, %r11d
+	jg			1f
+	je			0f
+
+	// km==1
+	movsd		%xmm0,  0(%r10)
+
+	jmp		3f
+
+0:
+	// km==2
+	cmpl		$2, %r12d
+	movapd		%xmm0,  0(%r10)
+	jl			3f // end
+	movsd		32(%r10), %xmm15
+	movsd		%xmm15, %xmm1
+	movapd		%xmm1, 32(%r10)
+
+	jmp		3f
+
+1:
+	cmpl		$3, %r11d
+	jg			2f
+
+	// km==3
+	cmpl		$2, %r12d
+	movapd		%xmm0,   0(%r10)
+	movsd		%xmm4,  16(%r10)
+	jl			3f // end
+	cmpl		$3, %r12d
+	movsd		32(%r10), %xmm15
+	movsd		%xmm15, %xmm1
+	movapd		%xmm1,  32(%r10)
+	movsd		%xmm5,  48(%r10)
+	jl			3f // end
+//	movapd		%xmm2,  64(%r10)
+	movsd		%xmm6,  80(%r10)
+
+	jmp		3f
+
+2:
+	// km==3
+	cmpl		$2, %r12d
+	movapd		%xmm0,   0(%r10)
+	movapd		%xmm4,  16(%r10)
+	jl			3f // end
+	cmpl		$3, %r12d
+	movsd		32(%r10), %xmm15
+	movsd		%xmm15, %xmm1
+	movapd		%xmm1,  32(%r10)
+	movapd		%xmm5,  48(%r10)
+	jl			3f // end
+//	movapd		%xmm2,  64(%r10)
+	movapd		%xmm6,  80(%r10)
+	je			3f // end
+//	movapd		%xmm3,  96(%r10)
+	movsd		112(%r10), %xmm15
+	movsd		%xmm15, %xmm7
+	movapd		%xmm7, 112(%r10)
+
+3:
+
+#if MACRO_LEVEL>=1
+	.endm
+#else
+	ret
+
+#if defined(OS_LINUX)
+	.size	inner_store_l_4x4_vs_lib4, .-inner_store_l_4x4_vs_lib4
+#endif
+#endif
+
+
+
+
+
+//                               rdi    rsi            rdx        rcx        r8            r9         rsp+8
+// void kernel_dgemm_nt_4x4_lib4(int k, double *alpha, double *A, double *B, double *beta, double *C, double *D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dgemm_nt_4x4_lib4
+	.type kernel_dgemm_nt_4x4_lib4, @function
+kernel_dgemm_nt_4x4_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dgemm_nt_4x4_lib4
+_kernel_dgemm_nt_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dgemm_nt_4x4_lib4
+	.def kernel_dgemm_nt_4x4_lib4; .scl 2; .type 32; .endef
+kernel_dgemm_nt_4x4_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blend scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dgemm_nt_4x4_lib4, .-kernel_dgemm_nt_4x4_lib4
+#endif
+
+
+
+
+
+//                                  rdi    rsi            rdx        rcx        r8            r9         rsp+8     rsp+16   rsp+24
+// void kernel_dgemm_nt_4x4_vs_lib4(int k, double *alpha, double *A, double *B, double *beta, double *C, double *D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dgemm_nt_4x4_vs_lib4
+	.type kernel_dgemm_nt_4x4_vs_lib4, @function
+kernel_dgemm_nt_4x4_vs_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dgemm_nt_4x4_vs_lib4
+_kernel_dgemm_nt_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dgemm_nt_4x4_vs_lib4
+	.def kernel_dgemm_nt_4x4_vs_lib4; .scl 2; .type 32; .endef
+kernel_dgemm_nt_4x4_vs_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blend 
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+	movq	ARG8, %r11 // km 
+	movq	ARG9, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_vs_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dgemm_nt_4x4_vs_lib4, .-kernel_dgemm_nt_4x4_vs_lib4
+#endif
+
+
+
+
+
+#if 0
+
+//                                   1      2              3          4          5             6            7          8        9            10         11       12      13      14      15
+// void kernel_dgemm_nt_4x4_gen_lib4(int k, double *alpha, double *A, double *B, double *beta, int offsetC, double *C, int sdc, int offsetD, double *D, int sdd, int m0, int m1, int n0, int n1);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dgemm_nt_4x4_gen_lib4
+	.type kernel_dgemm_nt_4x4_gen_lib4, @function
+kernel_dgemm_nt_4x4_gen_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dgemm_nt_4x4_gen_lib4
+_kernel_dgemm_nt_4x4_gen_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dgemm_nt_4x4_gen_lib4
+	.def kernel_dgemm_nt_4x4_gen_lib4; .scl 2; .type 32; .endef
+kernel_dgemm_nt_4x4_gen_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blend scale
+
+#if 0 //
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12 // offsetC
+	movq	ARG7, %r13 // C
+	movq	ARG8, %r14 // sdc
+	sall	$5, %r14d // 4*sdc*sizeof(double)
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_4X4_GEN_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_4x4_gen_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_4x4_gen_lib4
+#endif
+#endif
+
+#else //
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG7, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_4x4_lib4
+#endif
+#endif
+
+#endif //
+
+	// store n gen
+
+	movq	ARG9, %r10 // offsetD
+	movq	ARG10, %r11 // D
+	movq	ARG11, %r12 // sdd
+	sall	$5, %r12d // 4*sdb*sizeof(double)
+	movq	ARG12, %r13 // m0
+	movq	ARG13, %r14 // m1
+	movq	ARG14, %r15 // n0
+	movq	ARG15, %rax // n1
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_GEN_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_gen_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_gen_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dgemm_nt_4x4_gen_lib4, .-kernel_dgemm_nt_4x4_gen_lib4
+#endif
+
+#endif
+
+
+
+
+
+//                               1      2              3          4            5          6        7             8          9
+// void kernel_dgemm_nt_4x4_lib4(int k, double *alpha, double *A, int offsetB, double *B, int sdb, double *beta, double *C, double *D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dgemm_nn_4x4_lib4
+	.type kernel_dgemm_nn_4x4_lib4, @function
+kernel_dgemm_nn_4x4_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dgemm_nn_4x4_lib4
+_kernel_dgemm_nn_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dgemm_nn_4x4_lib4
+	.def kernel_dgemm_nn_4x4_lib4; .scl 2; .type 32; .endef
+kernel_dgemm_nn_4x4_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt
+
+	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_DGEMM_ADD_NN_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dgemm_add_nn_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dgemm_add_nn_4x4_lib4
+#endif
+#endif
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NN_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nn_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nn_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blend scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG7, %r11 // beta
+	movq	ARG8, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_SCALE_AB_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_scale_ab_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG9, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dgemm_nn_4x4_lib4, .-kernel_dgemm_nn_4x4_lib4
+#endif
+
+
+
+
+
+//                                  1      2              3          4            5          6        7             8          9          10      11
+// void kernel_dgemm_nt_4x4_vs_lib4(int k, double *alpha, double *A, int offsetB, double *B, int sdb, double *beta, double *C, double *D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dgemm_nn_4x4_vs_lib4
+	.type kernel_dgemm_nn_4x4_vs_lib4, @function
+kernel_dgemm_nn_4x4_vs_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dgemm_nn_4x4_vs_lib4
+_kernel_dgemm_nn_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dgemm_nn_4x4_vs_lib4
+	.def kernel_dgemm_nn_4x4_vs_lib4; .scl 2; .type 32; .endef
+kernel_dgemm_nn_4x4_vs_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt
+
+	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_DGEMM_ADD_NN_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dgemm_add_nn_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dgemm_add_nn_4x4_lib4
+#endif
+#endif
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NN_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nn_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nn_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blend scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG7, %r11 // beta
+	movq	ARG8, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_SCALE_AB_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_scale_ab_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG9, %r10 // D
+	movq	ARG10, %r11 // km 
+	movq	ARG11, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_vs_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dgemm_nn_4x4_vs_lib4, .-kernel_dgemm_nn_4x4_vs_lib4
+#endif
+
+
+
+
+
+//                                 rdi    rsi            rdx        rcx        r8            r9         rsp+8
+// void kernel_dsyrk_nt_l_4x4_lib4(int k, double *alpha, double *A, double *B, double *beta, double *C, double *D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dsyrk_nt_l_4x4_lib4
+	.type kernel_dsyrk_nt_l_4x4_lib4, @function
+kernel_dsyrk_nt_l_4x4_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dsyrk_nt_l_4x4_lib4
+_kernel_dsyrk_nt_l_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dsyrk_nt_l_4x4_lib4
+	.def kernel_dsyrk_nt_l_4x4_lib4; .scl 2; .type 32; .endef
+kernel_dsyrk_nt_l_4x4_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blend 
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call	inner_store_l_4x4_lib4
+#elif defined(OS_MAC)
+	callq	_inner_store_l_4x4_lib4
+#endif
+#endif
+
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dsyrk_nt_l_4x4_lib4, .-kernel_dsyrk_nt_l_4x4_lib4
+#endif
+
+
+
+
+
+//                                    rdi    rsi            rdx        rcx        r8            r9         rsp+8     rsp+16   rsp+24
+// void kernel_dsyrk_nt_l_4x4_vs_lib4(int k, double *alpha, double *A, double *B, double *beta, double *C, double *D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dsyrk_nt_l_4x4_vs_lib4
+	.type kernel_dsyrk_nt_l_4x4_vs_lib4, @function
+kernel_dsyrk_nt_l_4x4_vs_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dsyrk_nt_l_4x4_vs_lib4
+_kernel_dsyrk_nt_l_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dsyrk_nt_l_4x4_vs_lib4
+	.def kernel_dsyrk_nt_l_4x4_vs_lib4; .scl 2; .type 32; .endef
+kernel_dsyrk_nt_l_4x4_vs_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11  // A
+	movq	ARG4, %r12  // B
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blend 
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_AB_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_ab_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+	movq	ARG8, %r11 // km 
+	movq	ARG9, %r12 // kn 
+
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call	inner_store_l_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq	_inner_store_l_4x4_vs_lib4
+#endif
+#endif
+
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dsyrk_nt_l_4x4_vs_lib4, .-kernel_dsyrk_nt_l_4x4_vs_lib4
+#endif
+
+
+
+
+
+//                                  rdi    rsi            rdx        rcx        r8            r9         rsp+8
+// void kernel_dtrmm_nt_ru_4x4_lib4(int k, double *alpha, double *A, double *B, double *beta, double *C, double *D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dtrmm_nt_ru_4x4_lib4
+	.type kernel_dtrmm_nt_ru_4x4_lib4, @function
+kernel_dtrmm_nt_ru_4x4_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dtrmm_nt_ru_4x4_lib4
+_kernel_dtrmm_nt_ru_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dtrmm_nt_ru_4x4_lib4
+	.def kernel_dtrmm_nt_ru_4x4_lib4; .scl 2; .type 32; .endef
+kernel_dtrmm_nt_ru_4x4_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt after initial triangle
+
+	movq	ARG1, %r10 // k
+	subl	$4, %r10d // k-4
+	movq	ARG3, %r11 // A
+	addq	$128, %r11 // A+4*bs
+	movq	ARG4, %r12 // B
+	addq	$128, %r12 // B+4*bs
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blend
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_4x4_lib4
+#endif
+#endif
+
+
+	// initial triangle
+
+	movq	ARG3, %r10
+	movq	ARG4, %r11
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DTRMM_NT_RU_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dtrmm_nt_ru_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dtrmm_nt_ru_4x4_lib4
+#endif
+#endif
+
+
+	// call inner scale
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_SCALE_AB_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_scale_ab_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dtrmm_nt_ru_4x4_lib4, .-kernel_dtrmm_nt_ru_4x4_lib4
+#endif
+
+
+
+
+
+//                                     rdi    rsi            rdx        rcx        r8            r9         rsp+8     rsp+16   rsp+24
+// void kernel_dtrmm_nt_ru_4x4_vs_lib4(int k, double *alpha, double *A, double *B, double *beta, double *C, double *D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dtrmm_nt_ru_4x4_vs_lib4
+	.type kernel_dtrmm_nt_ru_4x4_vs_lib4, @function
+kernel_dtrmm_nt_ru_4x4_vs_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dtrmm_nt_ru_4x4_vs_lib4
+_kernel_dtrmm_nt_ru_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dtrmm_nt_ru_4x4_vs_lib4
+	.def kernel_dtrmm_nt_ru_4x4_vs_lib4; .scl 2; .type 32; .endef
+kernel_dtrmm_nt_ru_4x4_vs_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt after initial triangle
+
+	movq	ARG1, %r10 // k
+	subl	$4, %r10d // k-4
+	movq	ARG3, %r11 // A
+	addq	$128, %r11 // A+4*bs
+	movq	ARG4, %r12 // B
+	addq	$128, %r12 // B+4*bs
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blender nn
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_4x4_lib4
+#endif
+#endif
+
+
+	// initial triangle
+
+	movq	ARG1, %r10 // k
+	movq	ARG3, %r11 // A
+	movq	ARG4, %r12 // B
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DTRMM_NT_RU_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dtrmm_nt_ru_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dtrmm_nt_ru_4x4_vs_lib4
+#endif
+#endif
+
+
+	// call inner loader nn
+
+	movq	ARG2, %r10 // alpha
+	movq	ARG5, %r11 // beta
+	movq	ARG6, %r12   // C
+
+#if MACRO_LEVEL>=1
+	INNER_SCALE_AB_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_scale_ab_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_scale_ab_4x4_lib4
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+	movq	ARG8, %r11 // km 
+	movq	ARG9, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_vs_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dtrmm_nt_ru_4x4_vs_lib4, .-kernel_dtrmm_nt_ru_4x4_vs_lib4
+#endif
+
+
+
+
+
+//                                  edi    rsi        rdx        ecx        r8         r9
+// void kernel_dpotrf_nt_l_4x4_lib4(int k, double *A, double *B, double *C, double *D, double *inv_diag_D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dpotrf_nt_l_4x4_lib4
+	.type kernel_dpotrf_nt_l_4x4_lib4, @function
+kernel_dpotrf_nt_l_4x4_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dpotrf_nt_l_4x4_lib4
+_kernel_dpotrf_nt_l_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dpotrf_nt_l_4x4_lib4
+	.def kernel_dpotrf_nt_l_4x4_lib4; .scl 2; .type 32; .endef
+kernel_dpotrf_nt_l_4x4_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt
+
+	movq	ARG1, %r10
+	movq	ARG2, %r11
+	movq	ARG3, %r12
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_SUB_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_sub_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_sub_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG4, %r10 // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_4x4_lib4
+#endif
+#endif
+
+
+	// factorization
+
+	movq	ARG6, %r10  // inv_diag_D 
+	movl	$4, %r11d // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DPOTRF_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dpotrf_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dpotrf_4x4_vs_lib4
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG5, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_l_4x4_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dpotrf_nt_l_4x4_lib4, .-kernel_dpotrf_nt_l_4x4_lib4
+#endif
+
+
+
+
+
+//                                     edi    rsi        rdx        ecx        r8         r9                  rsp+8   rsp+16
+// void kernel_dpotrf_nt_l_4x4_vs_lib4(int k, double *A, double *B, double *C, double *D, double *inv_diag_D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dpotrf_nt_l_4x4_vs_lib4
+	.type kernel_dpotrf_nt_l_4x4_vs_lib4, @function
+kernel_dpotrf_nt_l_4x4_vs_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dpotrf_nt_l_4x4_vs_lib4
+_kernel_dpotrf_nt_l_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dpotrf_nt_l_4x4_vs_lib4
+	.def kernel_dpotrf_nt_l_4x4_vs_lib4; .scl 2; .type 32; .endef
+kernel_dpotrf_nt_l_4x4_vs_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt
+
+	movq	ARG1, %r10
+	movq	ARG2, %r11
+	movq	ARG3, %r12
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_SUB_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_sub_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_sub_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG4, %r10 // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_4x4_lib4
+#endif
+#endif
+
+
+	// factorization
+
+	movq	ARG6, %r10  // inv_diag_D 
+	movq	ARG8, %r11 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DPOTRF_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dpotrf_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dpotrf_4x4_vs_lib4
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG5, %r10 // D
+	movq	ARG7, %r11 // km 
+	movq	ARG8, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_l_4x4_vs_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dpotrf_nt_l_4x4_vs_lib4, .-kernel_dpotrf_nt_l_4x4_vs_lib4
+#endif
+
+
+
+
+
+//                                        edi     rsi         rdx         ecx     r8          r9          rsp+8      rsp+16     rsp+24
+// void kernel_dsyrk_dpotrf_nt_l_4x4_lib4(int kp, double *Ap, double *Bp, int km, double *Am, double *Bm, double *C, double *D, double *inv_diag_D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dsyrk_dpotrf_nt_l_4x4_lib4
+	.type kernel_dsyrk_dpotrf_nt_l_4x4_lib4, @function
+kernel_dsyrk_dpotrf_nt_l_4x4_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dsyrk_dpotrf_nt_l_4x4_lib4
+_kernel_dsyrk_dpotrf_nt_l_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dsyrk_dpotrf_nt_l_4x4_lib4
+	.def kernel_dsyrk_dpotrf_nt_l_4x4_lib4; .scl 2; .type 32; .endef
+kernel_dsyrk_dpotrf_nt_l_4x4_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt add
+
+	movq	ARG1, %r10 // kp
+	movq	ARG2, %r11  // Ap
+	movq	ARG3, %r12  // Bp
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#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_DGEMM_SUB_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_sub_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_sub_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG7, %r10   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_4x4_lib4
+#endif
+#endif
+
+
+	// factorization
+
+	movq	ARG9, %r10  // inv_diag_D 
+	movl	$4, %r11d
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DPOTRF_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dpotrf_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dpotrf_4x4_vs_lib4
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10  // D 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_l_4x4_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dsyrk_dpotrf_nt_l_4x4_lib4, .-kernel_dsyrk_dpotrf_nt_l_4x4_lib4
+#endif
+
+
+
+
+
+//                                           edi     rsi         rdx         ecx     r8          r9          rsp+8      rsp+16     rsp+24              rsp+32  rsp+40
+// void kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4(int kp, double *Ap, double *Bp, int km, double *Am, double *Bm, double *C, double *D, double *inv_diag_D, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4
+	.type kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4, @function
+kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4
+_kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4
+	.def kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4; .scl 2; .type 32; .endef
+kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt add
+
+	movq	ARG1, %r10 // kp
+	movq	ARG2, %r11  // Ap
+	movq	ARG3, %r12  // Bp
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#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_DGEMM_SUB_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_sub_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_sub_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG7, %r10   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_4x4_lib4
+#endif
+#endif
+
+
+	// factorization
+
+	movq	ARG9, %r10  // inv_diag_D 
+	movq	ARG11, %r11 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DPOTRF_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dpotrf_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dpotrf_4x4_vs_lib4
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10  // D 
+	movq	ARG10, %r11 // km 
+	movq	ARG11, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_L_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_l_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_l_4x4_vs_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4, .-kernel_dsyrk_dpotrf_nt_l_4x4_vs_lib4
+#endif
+
+
+
+
+
+//                                      edi    rsi        rdx        ecx        r8         r9         rsp+8  
+// void kernel_dtrsm_nt_rl_inv_4x4_lib4(int k, double *A, double *B, double *C, double *D, double *E, double *inv_diag_E);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dtrsm_nt_rl_inv_4x4_lib4
+	.type kernel_dtrsm_nt_rl_inv_4x4_lib4, @function
+kernel_dtrsm_nt_rl_inv_4x4_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dtrsm_nt_rl_inv_4x4_lib4
+_kernel_dtrsm_nt_rl_inv_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dtrsm_nt_rl_inv_4x4_lib4
+	.def kernel_dtrsm_nt_rl_inv_4x4_lib4; .scl 2; .type 32; .endef
+kernel_dtrsm_nt_rl_inv_4x4_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt 
+
+	movq	ARG1, %r10
+	movq	ARG2, %r11
+	movq	ARG3, %r12
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_SUB_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_sub_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_sub_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG4, %r10
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_4x4_lib4
+#endif
+#endif
+
+
+	// solve
+
+	movq	ARG6, %r10  // E 
+	movq	ARG7, %r11  // inv_diag_E 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DTRSM_RLT_INV_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dtrsm_rlt_inv_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dtrsm_rlt_inv_4x4_lib4
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG5, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dtrsm_nt_rl_inv_4x4_lib4, .-kernel_dtrsm_nt_rl_inv_4x4_lib4
+#endif
+
+
+
+
+
+//                                            edi     rsi         rdx         ecx     r8          r9          rsp+8      rsp+16     rsp+24     rsp+32
+// void kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4(int kp, double *Ap, double *Bp, int km, double *Am, double *Bm, double *C, double *D, double *E, double *inv_diag_E);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4
+	.type kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4, @function
+kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4
+_kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4
+	.def kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4; .scl 2; .type 32; .endef
+kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt add
+
+	movq	ARG1, %r10 // kp
+	movq	ARG2, %r11  // Ap
+	movq	ARG3, %r12  // Bp
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#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_DGEMM_SUB_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_sub_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_sub_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG7, %r10   // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_4x4_lib4
+#endif
+#endif
+
+
+	// solve
+
+	movq	ARG9, %r10  // E 
+	movq	ARG10, %r11  // inv_diag_E 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DTRSM_RLT_INV_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dtrsm_rlt_inv_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dtrsm_rlt_inv_4x4_lib4
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10   // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4, .-kernel_dgemm_dtrsm_nt_rl_inv_4x4_lib4
+#endif
+
+
+
+
+
+//                                         edi    rsi        rdx        ecx        r8       r9           rsp+8               rsp+16  rsp+24
+// void kernel_dtrsm_nt_rl_inv_4x4_vs_lib4(int k, double *A, double *B, double *C, double *D, double *E, double *inv_diag_E, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dtrsm_nt_rl_inv_4x4_vs_lib4
+	.type kernel_dtrsm_nt_rl_inv_4x4_vs_lib4, @function
+kernel_dtrsm_nt_rl_inv_4x4_vs_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dtrsm_nt_rl_inv_4x4_vs_lib4
+_kernel_dtrsm_nt_rl_inv_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dtrsm_nt_rl_inv_4x4_vs_lib4
+	.def kernel_dtrsm_nt_rl_inv_4x4_vs_lib4; .scl 2; .type 32; .endef
+kernel_dtrsm_nt_rl_inv_4x4_vs_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt 
+
+	movq	ARG1, %r10
+	movq	ARG2, %r11
+	movq	ARG3, %r12
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_SUB_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_sub_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_sub_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blender_loader nn // TODO scale gen
+
+	movq	ARG4, %r10 // C
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_4x4_lib4
+#endif
+#endif
+
+
+	// solve
+
+	movq	ARG6, %r10  // E 
+	movq	ARG7, %r11  // inv_diag_E 
+	movq	ARG9, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DTRSM_RLT_INV_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dtrsm_rlt_inv_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dtrsm_rlt_inv_4x4_vs_lib4
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG5, %r10 // D
+	movq	ARG8, %r11 // km 
+	movq	ARG9, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_vs_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dtrsm_nt_rl_inv_4x4_vs_lib4, .-kernel_dtrsm_nt_rl_inv_4x4_vs_lib4
+#endif
+
+
+
+
+
+//                                               edi     rsi         rdx         ecx     r8          r9          rsp+8      rsp+16     rsp+24     rsp+32              rsp+40  rsp+48
+// void kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4(int kp, double *Ap, double *Bp, int km, double *Am, double *Bm, double *C, double *D, double *E, double *inv_diag_E, int km, int kn);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4
+	.type kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4, @function
+kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4
+_kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4
+	.def kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4; .scl 2; .type 32; .endef
+kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+	// call inner dgemm kernel nt add
+
+	movq	ARG1, %r10 // kp
+	movq	ARG2, %r11  // Ap
+	movq	ARG3, %r12  // Bp
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nt_4x4_lib4
+#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_DGEMM_SUB_NT_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_sub_nt_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_sub_nt_4x4_lib4
+#endif
+#endif
+
+
+	// call inner blender_loader nn
+
+	movq	ARG7, %r10  // C 
+
+#if MACRO_LEVEL>=1
+	INNER_BLEND_SCALE_11_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_blend_scale_11_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_blend_scale_11_4x4_lib4
+#endif
+#endif
+
+
+	// solve
+
+	movq	ARG9, %r10  // E 
+	movq	ARG10, %r11  // inv_diag_E 
+	movq	ARG12, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_EDGE_DTRSM_RLT_INV_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dtrsm_rlt_inv_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dtrsm_rlt_inv_4x4_vs_lib4
+#endif
+#endif
+
+
+	// store
+
+	movq	ARG8, %r10 // D 
+	movq	ARG11, %r11 // km 
+	movq	ARG12, %r12 // kn 
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_VS_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_vs_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_vs_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4, .-kernel_dgemm_dtrsm_nt_rl_inv_4x4_vs_lib4
+#endif
+
+
+
+
+
+//                                  1      2              3          4            5          6        7
+// void kernel_dtrmm_nn_rl_4x4_lib4(int k, double *alpha, double *A, int offsetB, double *B, int sdb, double *D);
+
+	.p2align 4,,15
+#if defined(OS_LINUX)
+	.globl kernel_dtrmm_nn_rl_4x4_lib4
+	.type kernel_dtrmm_nn_rl_4x4_lib4, @function
+kernel_dtrmm_nn_rl_4x4_lib4:
+#elif defined(OS_MAC)
+	.globl _kernel_dtrmm_nn_rl_4x4_lib4
+_kernel_dtrmm_nn_rl_4x4_lib4:
+#elif defined(OS_WINDOWS)
+	.globl kernel_dtrmm_nn_rl_4x4_lib4
+	.def kernel_dtrmm_nn_rl_4x4_lib4; .scl 2; .type 32; .endef
+kernel_dtrmm_nn_rl_4x4_lib4:
+#endif
+	
+	PROLOGUE
+
+	// zero accumulation registers
+
+	xorpd	%xmm0, %xmm0
+	movapd	%xmm0, %xmm1
+	movapd	%xmm0, %xmm2
+	movapd	%xmm0, %xmm3
+	movapd	%xmm0, %xmm4
+	movapd	%xmm0, %xmm5
+	movapd	%xmm0, %xmm6
+	movapd	%xmm0, %xmm7
+
+
+
+	// initial triangle
+
+	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_DTRMM_NN_RL_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_edge_dtrmm_nn_rl_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_edge_dtrmm_nn_rl_4x4_lib4
+#endif
+#endif
+
+	// call inner dgemm kernel nt after initial triangle
+
+#if MACRO_LEVEL>=2
+	INNER_KERNEL_DGEMM_ADD_NN_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_kernel_dgemm_add_nn_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_kernel_dgemm_add_nn_4x4_lib4
+#endif
+#endif
+
+
+	// call inner scale
+
+	movq	ARG2, %r10 // alpha
+
+#if MACRO_LEVEL>=1
+	INNER_SCALE_A0_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_scale_a0_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_scale_a0_4x4_lib4
+#endif
+#endif
+
+
+	// store n
+
+	movq	ARG7, %r10 // D
+
+#if MACRO_LEVEL>=1
+	INNER_STORE_4X4_LIB4
+#else
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	call inner_store_4x4_lib4
+#elif defined(OS_MAC)
+	callq _inner_store_4x4_lib4
+#endif
+#endif
+
+
+	EPILOGUE
+
+	ret
+
+#if defined(OS_LINUX)
+	.size	kernel_dtrmm_nn_rl_4x4_lib4, .-kernel_dtrmm_nn_rl_4x4_lib4
+#endif
+
+
+
+
+
+	// read-only data
+#if defined(OS_LINUX)
+	.section	.rodata.cst32,"aM",@progbits,32
+#elif defined(OS_MAC)
+	.section	__TEXT,__const
+#elif defined(OS_WINDOWS)
+	.section .rdata,"dr"
+#endif
+
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	.align 32
+.LC00: // { -1 -1 -1 1 }
+#elif defined(OS_MAC)
+LC00: // { -1 -1 -1 1 }
+	.align 5
+#endif
+	.quad	-1
+	.quad	-1
+	.quad	-1
+	.quad	1
+
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	.align 32
+.LC01: // { -1 -1 -1 -1 }
+#elif defined(OS_MAC)
+LC01: // { -1 -1 -1 -1 }
+	.align 5
+#endif
+	.quad	-1
+	.quad	-1
+	.quad	-1
+	.quad	-1
+
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	.align 32
+.LC02: // { 3.5 2.5 1.5 0.5 }
+#elif defined(OS_MAC)
+LC02: // { 3.5 2.5 1.5 0.5 }
+	.align 5
+#endif
+	.long	0
+	.long	1071644672
+	.long	0
+	.long	1073217536
+	.long	0
+	.long	1074003968
+	.long	0
+	.long	1074528256
+
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	.align 32
+.LC03: // { 7.5 6.5 5.5 4.5 }
+#elif defined(OS_MAC)
+LC03: // { 7.5 6.5 5.5 4.5 }
+	.align 5
+#endif
+	.long	0
+	.long	1074921472
+	.long	0
+	.long	1075183616
+	.long	0
+	.long	1075445760
+	.long	0
+	.long	1075707904
+
+#if defined(OS_LINUX) | defined(OS_WINDOWS)
+	.align 32
+.LC04: // { 1.0 1.0 1.0 1.0 }
+#elif defined(OS_MAC)
+LC04: // { 1.0 1.0 1.0 1.0 }
+	.align 5
+#endif
+	.long	0
+	.long	1072693248
+	.long	0
+	.long	1072693248
+	.long	0
+	.long	1072693248
+	.long	0
+	.long	1072693248
+
+
+
+#if defined(OS_LINUX)
+	.section	.note.GNU-stack,"",@progbits
+#elif defined(OS_MAC)
+	.subsections_via_symbols
+#endif
+