455 lines
12 KiB
C
455 lines
12 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_R
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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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static void strsm_RN_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_RN_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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__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" // i = 0
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" vbroadcastss (%3), %%xmm0 \n\t" // read bb
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" vbroadcastss 4(%3), %%xmm1 \n\t" // read b
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" vmulps %%xmm8 , %%xmm0 , %%xmm8 \n\t" // aa * bb
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" vmulps %%xmm9 , %%xmm0 , %%xmm9 \n\t"
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" vmulps %%xmm10 , %%xmm0 , %%xmm10 \n\t"
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" vmulps %%xmm11 , %%xmm0 , %%xmm11 \n\t"
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" vmovups %%xmm8 , (%2) \n\t" // write a
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" vmovups %%xmm9 , 16(%2) \n\t"
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" vmovups %%xmm10 , 32(%2) \n\t"
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" vmovups %%xmm11 , 48(%2) \n\t"
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" vmovups %%xmm8 , (%4) \n\t" // write c0
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" vmovups %%xmm9 , 16(%4) \n\t"
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" vmovups %%xmm10 , 32(%4) \n\t"
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" vmovups %%xmm11 , 48(%4) \n\t"
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" vfnmaddps %%xmm12 , %%xmm8 , %%xmm1 , %%xmm12 \n\t" // c = c - aa * b
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" vfnmaddps %%xmm13 , %%xmm9 , %%xmm1 , %%xmm13 \n\t"
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" vfnmaddps %%xmm14 , %%xmm10 , %%xmm1 , %%xmm14 \n\t"
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" vfnmaddps %%xmm15 , %%xmm11 , %%xmm1 , %%xmm15 \n\t"
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" \n\t" // i = 1
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" addq $8 , %3 \n\t" // b = b + 2
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" addq $64 , %2 \n\t" // a = a + 16
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" vbroadcastss 4(%3), %%xmm0 \n\t" // read bb
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" vmulps %%xmm12 , %%xmm0 , %%xmm12 \n\t" // aa * bb
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" vmulps %%xmm13 , %%xmm0 , %%xmm13 \n\t" // aa * bb
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" vmulps %%xmm14 , %%xmm0 , %%xmm14 \n\t" // aa * bb
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" vmulps %%xmm15 , %%xmm0 , %%xmm15 \n\t" // aa * bb
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" vmovups %%xmm12 , (%2) \n\t" // write a
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" vmovups %%xmm13 , 16(%2) \n\t" // write a
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" vmovups %%xmm14 , 32(%2) \n\t" // write a
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" vmovups %%xmm15 , 48(%2) \n\t" // write a
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" vmovups %%xmm12 , (%5) \n\t" // write c1
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" vmovups %%xmm13 , 16(%5) \n\t"
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" vmovups %%xmm14 , 32(%5) \n\t"
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" vmovups %%xmm15 , 48(%5) \n\t"
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" vzeroupper \n\t"
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:
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"+r" (n1), // 0
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"+a" (i), // 1
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"+r" (as), // 2
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"+r" (bs) // 3
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:
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"r" (c), // 4
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"r" (c1), // 5
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"r" (a), // 6
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"r" (b) // 7
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: "cc",
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"%xmm0", "%xmm1", "%xmm2", "%xmm3",
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"%xmm4", "%xmm5", "%xmm6", "%xmm7",
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"%xmm8", "%xmm9", "%xmm10", "%xmm11",
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"%xmm12", "%xmm13", "%xmm14", "%xmm15",
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"memory"
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);
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}
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#ifndef COMPLEX
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static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
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FLOAT aa, bb;
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int i, j, k;
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for (i = 0; i < n; i++) {
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bb = *(b + i);
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for (j = 0; j < m; j ++) {
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aa = *(c + j + i * ldc);
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aa *= bb;
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*a = aa;
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*(c + j + i * ldc) = aa;
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a ++;
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for (k = i + 1; k < n; k ++){
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*(c + j + k * ldc) -= aa * *(b + k);
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}
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}
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b += n;
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}
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}
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#else
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static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
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FLOAT aa1, aa2;
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FLOAT bb1, bb2;
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FLOAT cc1, cc2;
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int i, j, k;
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ldc *= 2;
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for (i = 0; i < n; i++) {
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bb1 = *(b + i * 2 + 0);
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bb2 = *(b + i * 2 + 1);
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for (j = 0; j < m; j ++) {
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aa1 = *(c + j * 2 + 0 + i * ldc);
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aa2 = *(c + j * 2 + 1 + i * ldc);
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#ifndef CONJ
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cc1 = aa1 * bb1 - aa2 * bb2;
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cc2 = aa1 * bb2 + aa2 * bb1;
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#else
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cc1 = aa1 * bb1 + aa2 * bb2;
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cc2 = -aa1 * bb2 + aa2 * bb1;
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#endif
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*(a + 0) = cc1;
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*(a + 1) = cc2;
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*(c + j * 2 + 0 + i * ldc) = cc1;
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*(c + j * 2 + 1 + i * ldc) = cc2;
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a += 2;
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for (k = i + 1; k < n; k ++){
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#ifndef CONJ
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*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
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*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
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#else
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*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
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*(c + j * 2 + 1 + k * ldc) -= - cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
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#endif
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}
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}
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b += n * 2;
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}
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}
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#endif
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int CNAME(BLASLONG m, BLASLONG n, BLASLONG k, FLOAT dummy1,
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#ifdef COMPLEX
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FLOAT dummy2,
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#endif
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FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, BLASLONG offset){
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FLOAT *aa, *cc;
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BLASLONG kk;
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BLASLONG i, j, jj;
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#if 0
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fprintf(stderr, "TRSM RN KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
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m, n, k, offset);
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#endif
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jj = 0;
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j = (n >> GEMM_UNROLL_N_SHIFT);
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kk = -offset;
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while (j > 0) {
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aa = a;
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cc = c;
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i = (m >> GEMM_UNROLL_M_SHIFT);
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if (i > 0) {
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do {
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strsm_RN_solve_opt(kk, aa, b, cc, ldc, aa + kk * GEMM_UNROLL_M * COMPSIZE, b + kk * GEMM_UNROLL_N * COMPSIZE);
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aa += GEMM_UNROLL_M * k * COMPSIZE;
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cc += GEMM_UNROLL_M * COMPSIZE;
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i --;
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} while (i > 0);
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}
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if (m & (GEMM_UNROLL_M - 1)) {
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i = (GEMM_UNROLL_M >> 1);
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while (i > 0) {
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if (m & i) {
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if (kk > 0) {
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GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1,
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#ifdef COMPLEX
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ZERO,
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#endif
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aa, b, cc, ldc);
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}
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solve(i, GEMM_UNROLL_N,
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aa + kk * i * COMPSIZE,
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b + kk * GEMM_UNROLL_N * COMPSIZE,
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cc, ldc);
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aa += i * k * COMPSIZE;
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cc += i * COMPSIZE;
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}
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i >>= 1;
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}
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}
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kk += GEMM_UNROLL_N;
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b += GEMM_UNROLL_N * k * COMPSIZE;
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c += GEMM_UNROLL_N * ldc * COMPSIZE;
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j --;
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jj += GEMM_UNROLL_M;
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}
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if (n & (GEMM_UNROLL_N - 1)) {
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j = (GEMM_UNROLL_N >> 1);
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while (j > 0) {
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if (n & j) {
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aa = a;
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cc = c;
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i = (m >> GEMM_UNROLL_M_SHIFT);
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while (i > 0) {
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if (kk > 0) {
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GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1,
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#ifdef COMPLEX
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ZERO,
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#endif
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aa,
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b,
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cc,
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ldc);
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}
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solve(GEMM_UNROLL_M, j,
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aa + kk * GEMM_UNROLL_M * COMPSIZE,
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b + kk * j * COMPSIZE, cc, ldc);
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aa += GEMM_UNROLL_M * k * COMPSIZE;
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cc += GEMM_UNROLL_M * COMPSIZE;
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i --;
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}
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if (m & (GEMM_UNROLL_M - 1)) {
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i = (GEMM_UNROLL_M >> 1);
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while (i > 0) {
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if (m & i) {
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if (kk > 0) {
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GEMM_KERNEL(i, j, kk, dm1,
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#ifdef COMPLEX
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ZERO,
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#endif
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aa,
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b,
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cc,
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ldc);
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}
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solve(i, j,
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aa + kk * i * COMPSIZE,
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b + kk * j * COMPSIZE, cc, ldc);
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aa += i * k * COMPSIZE;
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cc += i * COMPSIZE;
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}
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i >>= 1;
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}
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}
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b += j * k * COMPSIZE;
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c += j * ldc * COMPSIZE;
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kk += j;
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}
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j >>= 1;
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}
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}
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return 0;
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}
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