757 lines
34 KiB
C
757 lines
34 KiB
C
/*********************************************************************/
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/* Copyright 2009, 2010 The University of Texas at Austin. */
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/* All rights reserved. */
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/* */
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/* Redistribution and use in source and binary forms, with or */
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/* without modification, are permitted provided that the following */
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/* conditions are met: */
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/* */
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/* 1. Redistributions of source code must retain the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer. */
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/* */
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/* 2. Redistributions in binary form must reproduce the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer in the documentation and/or other materials */
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/* provided with the distribution. */
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/* */
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/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
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/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
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/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
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/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
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/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
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/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
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/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
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/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
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/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
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/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
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/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
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/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
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/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
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/* POSSIBILITY OF SUCH DAMAGE. */
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/* */
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/* The views and conclusions contained in the software and */
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/* documentation are those of the authors and should not be */
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/* interpreted as representing official policies, either expressed */
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/* or implied, of The University of Texas at Austin. */
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/*********************************************************************/
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#include "common.h"
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static FLOAT dm1 = -1.;
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#ifdef CONJ
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#define GEMM_KERNEL GEMM_KERNEL_L
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#else
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#define GEMM_KERNEL GEMM_KERNEL_N
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 1
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#define GEMM_UNROLL_M_SHIFT 0
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 2
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#define GEMM_UNROLL_M_SHIFT 1
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 4
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#define GEMM_UNROLL_M_SHIFT 2
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 6
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#define GEMM_UNROLL_M_SHIFT 2
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 8
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#define GEMM_UNROLL_M_SHIFT 3
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 16
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#define GEMM_UNROLL_M_SHIFT 4
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#endif
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#if GEMM_DEFAULT_UNROLL_N == 1
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#define GEMM_UNROLL_N_SHIFT 0
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#endif
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#if GEMM_DEFAULT_UNROLL_N == 2
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#define GEMM_UNROLL_N_SHIFT 1
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#endif
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#if GEMM_DEFAULT_UNROLL_N == 4
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#define GEMM_UNROLL_N_SHIFT 2
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#endif
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#if GEMM_DEFAULT_UNROLL_N == 8
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#define GEMM_UNROLL_N_SHIFT 3
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#endif
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#if GEMM_DEFAULT_UNROLL_N == 16
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#define GEMM_UNROLL_N_SHIFT 4
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#endif
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#ifndef COMPLEX
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static void strsm_LN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
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static void strsm_LN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
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{
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FLOAT *c1 = c + ldc ;
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BLASLONG n1 = n * 8;
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BLASLONG i=0;
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as += (16 - 1) * 16;
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bs += (16 - 1) * 2;
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__asm__ __volatile__
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(
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" vzeroupper \n\t"
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" prefetcht0 (%4) \n\t"
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" prefetcht0 (%5) \n\t"
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" vxorps %%xmm8 , %%xmm8 , %%xmm8 \n\t"
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" vxorps %%xmm9 , %%xmm9 , %%xmm9 \n\t"
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" vxorps %%xmm10, %%xmm10, %%xmm10 \n\t"
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" vxorps %%xmm11, %%xmm11, %%xmm11 \n\t"
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" vxorps %%xmm12, %%xmm12, %%xmm12 \n\t"
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" vxorps %%xmm13, %%xmm13, %%xmm13 \n\t"
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" vxorps %%xmm14, %%xmm14, %%xmm14 \n\t"
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" vxorps %%xmm15, %%xmm15, %%xmm15 \n\t"
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" cmpq $0, %0 \n\t"
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" je 2f \n\t"
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" .align 16 \n\t"
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"1: \n\t"
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" vbroadcastss (%7,%1,1), %%xmm0 \n\t" // read b
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" vmovups (%6,%1,8), %%xmm4 \n\t"
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" vbroadcastss 4(%7,%1,1), %%xmm1 \n\t"
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" vmovups 16(%6,%1,8), %%xmm5 \n\t"
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" vmovups 32(%6,%1,8), %%xmm6 \n\t"
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" vmovups 48(%6,%1,8), %%xmm7 \n\t"
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" vfmaddps %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
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" vfmaddps %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
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" vfmaddps %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
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" vfmaddps %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
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" vfmaddps %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
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" vfmaddps %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
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" addq $8, %1 \n\t"
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" vfmaddps %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
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" vfmaddps %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
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" cmpq %1, %0 \n\t"
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" jnz 1b \n\t"
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"2: \n\t"
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" vmovups (%4) , %%xmm0 \n\t"
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" vmovups 16(%4) , %%xmm1 \n\t"
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" vmovups 32(%4) , %%xmm2 \n\t"
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" vmovups 48(%4) , %%xmm3 \n\t"
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" vmovups (%5) , %%xmm4 \n\t"
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" vmovups 16(%5) , %%xmm5 \n\t"
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" vmovups 32(%5) , %%xmm6 \n\t"
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" vmovups 48(%5) , %%xmm7 \n\t"
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" vsubps %%xmm8 , %%xmm0 , %%xmm8 \n\t"
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" vsubps %%xmm9 , %%xmm1 , %%xmm9 \n\t"
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" vsubps %%xmm10, %%xmm2 , %%xmm10 \n\t"
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" vsubps %%xmm11, %%xmm3 , %%xmm11 \n\t"
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" vsubps %%xmm12, %%xmm4 , %%xmm12 \n\t"
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" vsubps %%xmm13, %%xmm5 , %%xmm13 \n\t"
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" vsubps %%xmm14, %%xmm6 , %%xmm14 \n\t"
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" vsubps %%xmm15, %%xmm7 , %%xmm15 \n\t"
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"3: \n\t"
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" vbroadcastss 60(%2) , %%xmm0 \n\t" // i=15, read aa[i]
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" vshufps $0xff , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
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" vshufps $0xff , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
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" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
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" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
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" vmovss %%xmm1 , 60(%4) \n\t" // c[i] = bb0 * aa
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" vmovss %%xmm2 , 60(%5) \n\t" // c[i] = bb1 * aa
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" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
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" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
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" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
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" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
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" vmovups 32(%2) , %%xmm6 \n\t" // read a[k]
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" vmovups 48(%2) , %%xmm7 \n\t" // read a[k]
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" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
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" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
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" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
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" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
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" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
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" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
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" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
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" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
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" subq $64 , %2 \n\t" // a -= m
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" subq $8 , %3 \n\t" // b -= n
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" vbroadcastss 56(%2) , %%xmm0 \n\t" // i=14, read aa[i]
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" vshufps $0xaa , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
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" vshufps $0xaa , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
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" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
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" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
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" vmovss %%xmm1 , 56(%4) \n\t" // c[i] = bb0 * aa
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" vmovss %%xmm2 , 56(%5) \n\t" // c[i] = bb1 * aa
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" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
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" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
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" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
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" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
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" vmovups 32(%2) , %%xmm6 \n\t" // read a[k]
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" vmovups 48(%2) , %%xmm7 \n\t" // read a[k]
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" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
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" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
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" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
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" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
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" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
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" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
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" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
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" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
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" subq $64 , %2 \n\t" // a -= m
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" subq $8 , %3 \n\t" // b -= n
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" vbroadcastss 52(%2) , %%xmm0 \n\t" // i=13, read aa[i]
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" vshufps $0x55 , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
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" vshufps $0x55 , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
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" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
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" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
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" vmovss %%xmm1 , 52(%4) \n\t" // c[i] = bb0 * aa
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" vmovss %%xmm2 , 52(%5) \n\t" // c[i] = bb1 * aa
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" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
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" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
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" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
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" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
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" vmovups 32(%2) , %%xmm6 \n\t" // read a[k]
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" vmovups 48(%2) , %%xmm7 \n\t" // read a[k]
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" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
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" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
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" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
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" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
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" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
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" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
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" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
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" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
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" subq $64 , %2 \n\t" // a -= m
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" subq $8 , %3 \n\t" // b -= n
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" vbroadcastss 48(%2) , %%xmm0 \n\t" // i=12, read aa[i]
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" vshufps $0x00 , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
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" vshufps $0x00 , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
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" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
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" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
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" vmovss %%xmm1 , 48(%4) \n\t" // c[i] = bb0 * aa
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" vmovss %%xmm2 , 48(%5) \n\t" // c[i] = bb1 * aa
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" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
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" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
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" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
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" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
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" vmovups 32(%2) , %%xmm6 \n\t" // read a[k]
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" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
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" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
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" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
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" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
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" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
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" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
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" subq $64 , %2 \n\t" // a -= m
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" subq $8 , %3 \n\t" // b -= n
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" vbroadcastss 44(%2) , %%xmm0 \n\t" // i=11, read aa[i]
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" vshufps $0xff , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
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" vshufps $0xff , %%xmm14 , %%xmm14 , %%xmm2 \n\t" // extract bb1
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" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
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" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
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" vmovss %%xmm1 , 44(%4) \n\t" // c[i] = bb0 * aa
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" vmovss %%xmm2 , 44(%5) \n\t" // c[i] = bb1 * aa
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" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
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" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
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" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
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" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
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" vmovups 32(%2) , %%xmm6 \n\t" // read a[k]
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" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
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" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
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" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
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" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
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" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
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" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
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" subq $64 , %2 \n\t" // a -= m
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" subq $8 , %3 \n\t" // b -= n
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" vbroadcastss 40(%2) , %%xmm0 \n\t" // i=10, read aa[i]
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" vshufps $0xaa , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
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" vshufps $0xaa , %%xmm14 , %%xmm14 , %%xmm2 \n\t" // extract bb1
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" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
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" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
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" vmovss %%xmm1 , 40(%4) \n\t" // c[i] = bb0 * aa
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" vmovss %%xmm2 , 40(%5) \n\t" // c[i] = bb1 * aa
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" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
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" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
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" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
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" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
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" vmovups 32(%2) , %%xmm6 \n\t" // read a[k]
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" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
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" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
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" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
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" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
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" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
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" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
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" subq $64 , %2 \n\t" // a -= m
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" subq $8 , %3 \n\t" // b -= n
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" vbroadcastss 36(%2) , %%xmm0 \n\t" // i=9 , read aa[i]
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" vshufps $0x55 , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
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" vshufps $0x55 , %%xmm14 , %%xmm14 , %%xmm2 \n\t" // extract bb1
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" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
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" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
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" vmovss %%xmm1 , 36(%4) \n\t" // c[i] = bb0 * aa
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" vmovss %%xmm2 , 36(%5) \n\t" // c[i] = bb1 * aa
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" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
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" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
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" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
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" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
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" vmovups 32(%2) , %%xmm6 \n\t" // read a[k]
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" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
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" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
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" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
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" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
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" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
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" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
|
|
|
" subq $64 , %2 \n\t" // a -= m
|
|
" subq $8 , %3 \n\t" // b -= n
|
|
|
|
" vbroadcastss 32(%2) , %%xmm0 \n\t" // i=8 , read aa[i]
|
|
" vshufps $0x00 , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
|
|
" vshufps $0x00 , %%xmm14 , %%xmm14 , %%xmm2 \n\t" // extract bb1
|
|
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
|
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
|
" vmovss %%xmm1 , 32(%4) \n\t" // c[i] = bb0 * aa
|
|
" vmovss %%xmm2 , 32(%5) \n\t" // c[i] = bb1 * aa
|
|
" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
|
|
|
|
" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
|
|
" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
|
|
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
|
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
|
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
|
" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
|
|
|
" subq $64 , %2 \n\t" // a -= m
|
|
" subq $8 , %3 \n\t" // b -= n
|
|
|
|
" vbroadcastss 28(%2) , %%xmm0 \n\t" // i=7 , read aa[i]
|
|
" vshufps $0xff , %%xmm9 , %%xmm9 , %%xmm1 \n\t" // extract bb0
|
|
" vshufps $0xff , %%xmm13 , %%xmm13 , %%xmm2 \n\t" // extract bb1
|
|
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
|
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
|
" vmovss %%xmm1 , 28(%4) \n\t" // c[i] = bb0 * aa
|
|
" vmovss %%xmm2 , 28(%5) \n\t" // c[i] = bb1 * aa
|
|
" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
|
|
|
|
" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
|
|
" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
|
|
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
|
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
|
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
|
" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
|
|
|
" subq $64 , %2 \n\t" // a -= m
|
|
" subq $8 , %3 \n\t" // b -= n
|
|
|
|
" vbroadcastss 24(%2) , %%xmm0 \n\t" // i=6 , read aa[i]
|
|
" vshufps $0xaa , %%xmm9 , %%xmm9 , %%xmm1 \n\t" // extract bb0
|
|
" vshufps $0xaa , %%xmm13 , %%xmm13 , %%xmm2 \n\t" // extract bb1
|
|
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
|
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
|
" vmovss %%xmm1 , 24(%4) \n\t" // c[i] = bb0 * aa
|
|
" vmovss %%xmm2 , 24(%5) \n\t" // c[i] = bb1 * aa
|
|
" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
|
|
|
|
" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
|
|
" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
|
|
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
|
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
|
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
|
" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
|
|
|
" subq $64 , %2 \n\t" // a -= m
|
|
" subq $8 , %3 \n\t" // b -= n
|
|
|
|
" vbroadcastss 20(%2) , %%xmm0 \n\t" // i=5 , read aa[i]
|
|
" vshufps $0x55 , %%xmm9 , %%xmm9 , %%xmm1 \n\t" // extract bb0
|
|
" vshufps $0x55 , %%xmm13 , %%xmm13 , %%xmm2 \n\t" // extract bb1
|
|
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
|
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
|
" vmovss %%xmm1 , 20(%4) \n\t" // c[i] = bb0 * aa
|
|
" vmovss %%xmm2 , 20(%5) \n\t" // c[i] = bb1 * aa
|
|
" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
|
|
|
|
" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
|
|
" vmovups 16(%2) , %%xmm5 \n\t" // read a[k]
|
|
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
|
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
|
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
|
" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
|
|
|
" subq $64 , %2 \n\t" // a -= m
|
|
" subq $8 , %3 \n\t" // b -= n
|
|
|
|
" vbroadcastss 16(%2) , %%xmm0 \n\t" // i=4 , read aa[i]
|
|
" vshufps $0x00 , %%xmm9 , %%xmm9 , %%xmm1 \n\t" // extract bb0
|
|
" vshufps $0x00 , %%xmm13 , %%xmm13 , %%xmm2 \n\t" // extract bb1
|
|
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
|
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
|
" vmovss %%xmm1 , 16(%4) \n\t" // c[i] = bb0 * aa
|
|
" vmovss %%xmm2 , 16(%5) \n\t" // c[i] = bb1 * aa
|
|
" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
|
|
|
|
" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
|
|
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
|
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
|
|
|
" subq $64 , %2 \n\t" // a -= m
|
|
" subq $8 , %3 \n\t" // b -= n
|
|
|
|
" vbroadcastss 12(%2) , %%xmm0 \n\t" // i=3 , read aa[i]
|
|
" vshufps $0xff , %%xmm8 , %%xmm8 , %%xmm1 \n\t" // extract bb0
|
|
" vshufps $0xff , %%xmm12 , %%xmm12 , %%xmm2 \n\t" // extract bb1
|
|
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
|
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
|
" vmovss %%xmm1 , 12(%4) \n\t" // c[i] = bb0 * aa
|
|
" vmovss %%xmm2 , 12(%5) \n\t" // c[i] = bb1 * aa
|
|
" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
|
|
|
|
" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
|
|
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
|
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
|
|
|
" subq $64 , %2 \n\t" // a -= m
|
|
" subq $8 , %3 \n\t" // b -= n
|
|
|
|
" vbroadcastss 8(%2) , %%xmm0 \n\t" // i=2 , read aa[i]
|
|
" vshufps $0xaa , %%xmm8 , %%xmm8 , %%xmm1 \n\t" // extract bb0
|
|
" vshufps $0xaa , %%xmm12 , %%xmm12 , %%xmm2 \n\t" // extract bb1
|
|
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
|
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
|
" vmovss %%xmm1 , 8(%4) \n\t" // c[i] = bb0 * aa
|
|
" vmovss %%xmm2 , 8(%5) \n\t" // c[i] = bb1 * aa
|
|
" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
|
|
|
|
" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
|
|
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
|
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
|
|
|
" subq $64 , %2 \n\t" // a -= m
|
|
" subq $8 , %3 \n\t" // b -= n
|
|
|
|
" vbroadcastss 4(%2) , %%xmm0 \n\t" // i=1 , read aa[i]
|
|
" vshufps $0x55 , %%xmm8 , %%xmm8 , %%xmm1 \n\t" // extract bb0
|
|
" vshufps $0x55 , %%xmm12 , %%xmm12 , %%xmm2 \n\t" // extract bb1
|
|
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
|
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
|
" vmovss %%xmm1 , 4(%4) \n\t" // c[i] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%5) \n\t" // c[i] = bb1 * aa
|
|
" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
|
|
|
|
" vmovups 0(%2) , %%xmm4 \n\t" // read a[k]
|
|
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
|
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
|
|
|
" subq $64 , %2 \n\t" // a -= m
|
|
" subq $8 , %3 \n\t" // b -= n
|
|
|
|
" vbroadcastss 0(%2) , %%xmm0 \n\t" // i=0 , read aa[i]
|
|
" vshufps $0x00 , %%xmm8 , %%xmm8 , %%xmm1 \n\t" // extract bb0
|
|
" vshufps $0x00 , %%xmm12 , %%xmm12 , %%xmm2 \n\t" // extract bb1
|
|
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
|
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
|
" vmovss %%xmm1 , 0(%4) \n\t" // c[i] = bb0 * aa
|
|
" vmovss %%xmm2 , 0(%5) \n\t" // c[i] = bb1 * aa
|
|
" vmovss %%xmm1 , (%3) \n\t" // b[0] = bb0 * aa
|
|
" vmovss %%xmm2 , 4(%3) \n\t" // b[1] = bb1 * aa
|
|
|
|
" vzeroupper \n\t"
|
|
|
|
:
|
|
"+r" (n1), // 0
|
|
"+a" (i), // 1
|
|
"+r" (as), // 2
|
|
"+r" (bs) // 3
|
|
:
|
|
"r" (c), // 4
|
|
"r" (c1), // 5
|
|
"r" (a), // 6
|
|
"r" (b) // 7
|
|
: "cc",
|
|
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
|
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
|
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
|
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
|
"memory"
|
|
);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
|
|
|
FLOAT aa, bb;
|
|
|
|
int i, j, k;
|
|
|
|
a += (m - 1) * m;
|
|
b += (m - 1) * n;
|
|
|
|
for (i = m - 1; i >= 0; i--) {
|
|
|
|
aa = *(a + i);
|
|
|
|
for (j = 0; j < n; j ++) {
|
|
bb = *(c + i + j * ldc);
|
|
bb *= aa;
|
|
*b = bb;
|
|
*(c + i + j * ldc) = bb;
|
|
b ++;
|
|
|
|
for (k = 0; k < i; k ++){
|
|
*(c + k + j * ldc) -= bb * *(a + k);
|
|
}
|
|
|
|
}
|
|
a -= m;
|
|
b -= 2 * n;
|
|
}
|
|
|
|
}
|
|
|
|
#else
|
|
|
|
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
|
|
|
FLOAT aa1, aa2;
|
|
FLOAT bb1, bb2;
|
|
FLOAT cc1, cc2;
|
|
|
|
int i, j, k;
|
|
|
|
ldc *= 2;
|
|
a += (m - 1) * m * 2;
|
|
b += (m - 1) * n * 2;
|
|
|
|
for (i = m - 1; i >= 0; i--) {
|
|
|
|
aa1 = *(a + i * 2 + 0);
|
|
aa2 = *(a + i * 2 + 1);
|
|
|
|
for (j = 0; j < n; j ++) {
|
|
bb1 = *(c + i * 2 + 0 + j * ldc);
|
|
bb2 = *(c + i * 2 + 1 + j * ldc);
|
|
|
|
#ifndef CONJ
|
|
cc1 = aa1 * bb1 - aa2 * bb2;
|
|
cc2 = aa1 * bb2 + aa2 * bb1;
|
|
#else
|
|
cc1 = aa1 * bb1 + aa2 * bb2;
|
|
cc2 = aa1 * bb2 - aa2 * bb1;
|
|
#endif
|
|
|
|
|
|
*(b + 0) = cc1;
|
|
*(b + 1) = cc2;
|
|
*(c + i * 2 + 0 + j * ldc) = cc1;
|
|
*(c + i * 2 + 1 + j * ldc) = cc2;
|
|
b += 2;
|
|
|
|
for (k = 0; k < i; k ++){
|
|
#ifndef CONJ
|
|
*(c + k * 2 + 0 + j * ldc) -= cc1 * *(a + k * 2 + 0) - cc2 * *(a + k * 2 + 1);
|
|
*(c + k * 2 + 1 + j * ldc) -= cc1 * *(a + k * 2 + 1) + cc2 * *(a + k * 2 + 0);
|
|
#else
|
|
*(c + k * 2 + 0 + j * ldc) -= cc1 * *(a + k * 2 + 0) + cc2 * *(a + k * 2 + 1);
|
|
*(c + k * 2 + 1 + j * ldc) -= - cc1 * *(a + k * 2 + 1) + cc2 * *(a + k * 2 + 0);
|
|
#endif
|
|
}
|
|
|
|
}
|
|
a -= m * 2;
|
|
b -= 4 * n;
|
|
}
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
|
|
int CNAME(BLASLONG m, BLASLONG n, BLASLONG k, FLOAT dummy1,
|
|
#ifdef COMPLEX
|
|
FLOAT dummy2,
|
|
#endif
|
|
FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, BLASLONG offset){
|
|
|
|
BLASLONG i, j;
|
|
FLOAT *aa, *cc;
|
|
BLASLONG kk;
|
|
|
|
#if 0
|
|
fprintf(stderr, "TRSM KERNEL LN : m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
|
m, n, k, offset);
|
|
#endif
|
|
|
|
j = (n >> GEMM_UNROLL_N_SHIFT);
|
|
|
|
while (j > 0) {
|
|
|
|
kk = m + offset;
|
|
|
|
if (m & (GEMM_UNROLL_M - 1)) {
|
|
for (i = 1; i < GEMM_UNROLL_M; i *= 2){
|
|
if (m & i) {
|
|
aa = a + ((m & ~(i - 1)) - i) * k * COMPSIZE;
|
|
cc = c + ((m & ~(i - 1)) - i) * COMPSIZE;
|
|
|
|
if (k - kk > 0) {
|
|
GEMM_KERNEL(i, GEMM_UNROLL_N, k - kk, dm1,
|
|
#ifdef COMPLEX
|
|
ZERO,
|
|
#endif
|
|
aa + i * kk * COMPSIZE,
|
|
b + GEMM_UNROLL_N * kk * COMPSIZE,
|
|
cc,
|
|
ldc);
|
|
}
|
|
|
|
solve(i, GEMM_UNROLL_N,
|
|
aa + (kk - i) * i * COMPSIZE,
|
|
b + (kk - i) * GEMM_UNROLL_N * COMPSIZE,
|
|
cc, ldc);
|
|
|
|
kk -= i;
|
|
}
|
|
}
|
|
}
|
|
|
|
i = (m >> GEMM_UNROLL_M_SHIFT);
|
|
if (i > 0) {
|
|
aa = a + ((m & ~(GEMM_UNROLL_M - 1)) - GEMM_UNROLL_M) * k * COMPSIZE;
|
|
cc = c + ((m & ~(GEMM_UNROLL_M - 1)) - GEMM_UNROLL_M) * COMPSIZE;
|
|
|
|
do {
|
|
strsm_LN_solve_opt(k-kk, aa + GEMM_UNROLL_M * kk * COMPSIZE, b + GEMM_UNROLL_N * kk * COMPSIZE, cc, ldc,
|
|
aa + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_M * COMPSIZE,b + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_N * COMPSIZE);
|
|
|
|
aa -= GEMM_UNROLL_M * k * COMPSIZE;
|
|
cc -= GEMM_UNROLL_M * COMPSIZE;
|
|
kk -= GEMM_UNROLL_M;
|
|
i --;
|
|
} while (i > 0);
|
|
}
|
|
|
|
b += GEMM_UNROLL_N * k * COMPSIZE;
|
|
c += GEMM_UNROLL_N * ldc * COMPSIZE;
|
|
j --;
|
|
}
|
|
|
|
if (n & (GEMM_UNROLL_N - 1)) {
|
|
|
|
j = (GEMM_UNROLL_N >> 1);
|
|
while (j > 0) {
|
|
if (n & j) {
|
|
|
|
kk = m + offset;
|
|
|
|
if (m & (GEMM_UNROLL_M - 1)) {
|
|
for (i = 1; i < GEMM_UNROLL_M; i *= 2){
|
|
if (m & i) {
|
|
aa = a + ((m & ~(i - 1)) - i) * k * COMPSIZE;
|
|
cc = c + ((m & ~(i - 1)) - i) * COMPSIZE;
|
|
|
|
if (k - kk > 0) {
|
|
GEMM_KERNEL(i, j, k - kk, dm1,
|
|
#ifdef COMPLEX
|
|
ZERO,
|
|
#endif
|
|
aa + i * kk * COMPSIZE,
|
|
b + j * kk * COMPSIZE,
|
|
cc, ldc);
|
|
}
|
|
|
|
solve(i, j,
|
|
aa + (kk - i) * i * COMPSIZE,
|
|
b + (kk - i) * j * COMPSIZE,
|
|
cc, ldc);
|
|
|
|
kk -= i;
|
|
}
|
|
}
|
|
}
|
|
|
|
i = (m >> GEMM_UNROLL_M_SHIFT);
|
|
if (i > 0) {
|
|
aa = a + ((m & ~(GEMM_UNROLL_M - 1)) - GEMM_UNROLL_M) * k * COMPSIZE;
|
|
cc = c + ((m & ~(GEMM_UNROLL_M - 1)) - GEMM_UNROLL_M) * COMPSIZE;
|
|
|
|
do {
|
|
if (k - kk > 0) {
|
|
GEMM_KERNEL(GEMM_UNROLL_M, j, k - kk, dm1,
|
|
#ifdef COMPLEX
|
|
ZERO,
|
|
#endif
|
|
aa + GEMM_UNROLL_M * kk * COMPSIZE,
|
|
b + j * kk * COMPSIZE,
|
|
cc,
|
|
ldc);
|
|
}
|
|
|
|
solve(GEMM_UNROLL_M, j,
|
|
aa + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_M * COMPSIZE,
|
|
b + (kk - GEMM_UNROLL_M) * j * COMPSIZE,
|
|
cc, ldc);
|
|
|
|
aa -= GEMM_UNROLL_M * k * COMPSIZE;
|
|
cc -= GEMM_UNROLL_M * COMPSIZE;
|
|
kk -= GEMM_UNROLL_M;
|
|
i --;
|
|
} while (i > 0);
|
|
}
|
|
|
|
b += j * k * COMPSIZE;
|
|
c += j * ldc * COMPSIZE;
|
|
}
|
|
j >>= 1;
|
|
}
|
|
}
|
|
|
|
return 0;
|
|
}
|