added optimized trsm_kernels
This commit is contained in:
Werner Saar
parent
5f2fa15e04
commit
c8f2c5d636
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@ -69,24 +69,24 @@ ZGEMMOTCOPYOBJ = zgemm_otcopy$(TSUFFIX).$(SUFFIX)
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CGEMM3MKERNEL = zgemm3m_kernel_8x4_barcelona.S
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ZGEMM3MKERNEL = zgemm3m_kernel_4x4_barcelona.S
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STRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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STRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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STRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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STRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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STRSMKERNEL_LN = strsm_kernel_LN_bulldozer.c
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STRSMKERNEL_LT = strsm_kernel_LT_bulldozer.c
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STRSMKERNEL_RN = strsm_kernel_RN_bulldozer.c
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STRSMKERNEL_RT = strsm_kernel_RT_bulldozer.c
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DTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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DTRSMKERNEL_LN = dtrsm_kernel_LN_bulldozer.c
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DTRSMKERNEL_LT = dtrsm_kernel_LT_8x2_bulldozer.S
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DTRSMKERNEL_RN = dtrsm_kernel_RN_8x2_bulldozer.S
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DTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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DTRSMKERNEL_RT = dtrsm_kernel_RT_bulldozer.c
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CTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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CTRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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CTRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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CTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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CTRSMKERNEL_LN = ctrsm_kernel_LN_bulldozer.c
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CTRSMKERNEL_LT = ctrsm_kernel_LT_bulldozer.c
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CTRSMKERNEL_RN = ctrsm_kernel_RN_bulldozer.c
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CTRSMKERNEL_RT = ctrsm_kernel_RT_bulldozer.c
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ZTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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ZTRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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ZTRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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ZTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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ZTRSMKERNEL_LN = ztrsm_kernel_LN_bulldozer.c
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ZTRSMKERNEL_LT = ztrsm_kernel_LT_bulldozer.c
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ZTRSMKERNEL_RN = ztrsm_kernel_RN_bulldozer.c
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ZTRSMKERNEL_RT = ztrsm_kernel_RT_bulldozer.c
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@ -80,7 +80,7 @@ STRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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DTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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DTRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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DTRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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DTRSMKERNEL_RN = dtrsm_kernel_RN_haswell.c
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DTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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CTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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@ -66,25 +66,23 @@ ZGEMMOTCOPYOBJ = zgemm_otcopy$(TSUFFIX).$(SUFFIX)
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CGEMM3MKERNEL = zgemm3m_kernel_8x4_barcelona.S
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ZGEMM3MKERNEL = zgemm3m_kernel_4x4_barcelona.S
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STRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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STRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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STRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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STRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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STRSMKERNEL_LN = strsm_kernel_LN_bulldozer.c
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STRSMKERNEL_LT = strsm_kernel_LT_bulldozer.c
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STRSMKERNEL_RN = strsm_kernel_RN_bulldozer.c
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STRSMKERNEL_RT = strsm_kernel_RT_bulldozer.c
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DTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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DTRSMKERNEL_LN = dtrsm_kernel_LN_bulldozer.c
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DTRSMKERNEL_LT = dtrsm_kernel_LT_8x2_bulldozer.S
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DTRSMKERNEL_RN = dtrsm_kernel_RN_8x2_bulldozer.S
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DTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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DTRSMKERNEL_RT = dtrsm_kernel_RT_bulldozer.c
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CTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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CTRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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CTRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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CTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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ZTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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ZTRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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ZTRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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ZTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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CTRSMKERNEL_LN = ctrsm_kernel_LN_bulldozer.c
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CTRSMKERNEL_LT = ctrsm_kernel_LT_bulldozer.c
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CTRSMKERNEL_RN = ctrsm_kernel_RN_bulldozer.c
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CTRSMKERNEL_RT = ctrsm_kernel_RT_bulldozer.c
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ZTRSMKERNEL_LN = ztrsm_kernel_LN_bulldozer.c
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ZTRSMKERNEL_LT = ztrsm_kernel_LT_bulldozer.c
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ZTRSMKERNEL_RN = ztrsm_kernel_RN_bulldozer.c
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ZTRSMKERNEL_RT = ztrsm_kernel_RT_bulldozer.c
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@ -72,25 +72,23 @@ ZGEMMOTCOPYOBJ = zgemm_otcopy$(TSUFFIX).$(SUFFIX)
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CGEMM3MKERNEL = zgemm3m_kernel_8x4_barcelona.S
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ZGEMM3MKERNEL = zgemm3m_kernel_4x4_barcelona.S
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STRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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STRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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STRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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STRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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STRSMKERNEL_LN = strsm_kernel_LN_bulldozer.c
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STRSMKERNEL_LT = strsm_kernel_LT_bulldozer.c
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STRSMKERNEL_RN = strsm_kernel_RN_bulldozer.c
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STRSMKERNEL_RT = strsm_kernel_RT_bulldozer.c
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DTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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DTRSMKERNEL_LN = dtrsm_kernel_LN_bulldozer.c
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DTRSMKERNEL_LT = dtrsm_kernel_LT_8x2_bulldozer.S
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DTRSMKERNEL_RN = dtrsm_kernel_RN_8x2_bulldozer.S
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DTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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DTRSMKERNEL_RT = dtrsm_kernel_RT_bulldozer.c
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CTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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CTRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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CTRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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CTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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ZTRSMKERNEL_LN = ../generic/trsm_kernel_LN.c
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ZTRSMKERNEL_LT = ../generic/trsm_kernel_LT.c
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ZTRSMKERNEL_RN = ../generic/trsm_kernel_RN.c
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ZTRSMKERNEL_RT = ../generic/trsm_kernel_RT.c
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CTRSMKERNEL_LN = ctrsm_kernel_LN_bulldozer.c
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CTRSMKERNEL_LT = ctrsm_kernel_LT_bulldozer.c
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CTRSMKERNEL_RN = ctrsm_kernel_RN_bulldozer.c
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CTRSMKERNEL_RT = ctrsm_kernel_RT_bulldozer.c
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ZTRSMKERNEL_LN = ztrsm_kernel_LN_bulldozer.c
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ZTRSMKERNEL_LT = ztrsm_kernel_LT_bulldozer.c
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ZTRSMKERNEL_RN = ztrsm_kernel_RN_bulldozer.c
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ZTRSMKERNEL_RT = ztrsm_kernel_RT_bulldozer.c
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@ -0,0 +1,472 @@
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/*********************************************************************/
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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 CONJ
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static void ctrsm_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 ctrsm_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*2 ;
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BLASLONG n1 = n * 4;
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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 3f \n\t"
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" .align 16 \n\t"
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"1: \n\t"
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" vbroadcastss (%3,%1,4), %%xmm0 \n\t" // b0 real, b0 real
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" vbroadcastss 4(%3,%1,4), %%xmm1 \n\t" // b0 imag, b0 imag
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" vbroadcastss 8(%3,%1,4), %%xmm2 \n\t" // b1 real, b1 real
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" vbroadcastss 12(%3,%1,4), %%xmm3 \n\t" // b1 imag, b1 imag
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" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
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" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
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" vfnmaddps %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
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" vfnmaddps %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
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" vfnmaddps %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
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" vfnmaddps %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
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" vfnmaddps %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
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" vfnmaddps %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
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" vfnmaddps %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
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" vfnmaddps %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
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" addq $4, %1 \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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" vshufps $0xb1 , %%xmm9 , %%xmm9, %%xmm9 \n\t"
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" vshufps $0xb1 , %%xmm11 , %%xmm11 , %%xmm11 \n\t"
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" vshufps $0xb1 , %%xmm13 , %%xmm13 , %%xmm13 \n\t"
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" vshufps $0xb1 , %%xmm15 , %%xmm15 , %%xmm15 \n\t"
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" vaddsubps %%xmm8 , %%xmm9 , %%xmm8 \n\t"
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" vaddsubps %%xmm10, %%xmm11, %%xmm10 \n\t"
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" vaddsubps %%xmm12, %%xmm13, %%xmm12 \n\t"
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" vaddsubps %%xmm14, %%xmm15, %%xmm14 \n\t"
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" vxorps %%xmm7 , %%xmm7 , %%xmm7 \n\t"
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" vaddsubps %%xmm8 , %%xmm7 , %%xmm8 \n\t"
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" vaddsubps %%xmm10, %%xmm7 , %%xmm10 \n\t"
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" vaddsubps %%xmm12, %%xmm7 , %%xmm12 \n\t"
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" vaddsubps %%xmm14, %%xmm7 , %%xmm14 \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 (%5) , %%xmm4 \n\t"
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" vmovups 16(%5) , %%xmm5 \n\t"
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" vaddps %%xmm0 , %%xmm8 , %%xmm8 \n\t"
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" vaddps %%xmm1 , %%xmm10, %%xmm10 \n\t"
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" vaddps %%xmm4 , %%xmm12, %%xmm12 \n\t"
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" vaddps %%xmm5 , %%xmm14, %%xmm14 \n\t"
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" vmovups %%xmm8 , (%4) \n\t"
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" vmovups %%xmm10 ,16(%4) \n\t"
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" vmovups %%xmm12 , (%5) \n\t"
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" vmovups %%xmm14 ,16(%5) \n\t"
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"3: \n\t"
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" vzeroupper \n\t"
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:
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:
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"r" (n1), // 0
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"a" (i), // 1
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"r" (a), // 2
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"r" (b), // 3
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"r" (c), // 4
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"r" (c1), // 5
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"r" (as), // 6
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"r" (bs) // 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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#endif
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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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a += (m - 1) * m;
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b += (m - 1) * n;
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for (i = m - 1; i >= 0; i--) {
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aa = *(a + i);
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for (j = 0; j < n; j ++) {
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bb = *(c + i + j * ldc);
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bb *= aa;
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*b = bb;
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*(c + i + j * ldc) = bb;
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b ++;
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for (k = 0; k < i; k ++){
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*(c + k + j * ldc) -= bb * *(a + k);
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}
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}
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a -= m;
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b -= 2 * 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) {
|
||||
|
||||
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 {
|
||||
|
||||
#ifdef CONJ
|
||||
if (k - kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, k - kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa + GEMM_UNROLL_M * kk * COMPSIZE,
|
||||
b + GEMM_UNROLL_N * kk * COMPSIZE,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#else
|
||||
|
||||
ctrsm_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);
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#endif
|
||||
|
||||
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;
|
||||
}
|
||||
|
|
@ -0,0 +1,455 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_L
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
static void ctrsm_LT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void ctrsm_LT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc*2 ;
|
||||
BLASLONG n1 = n * 4;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorps %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorps %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorps %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorps %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorps %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorps %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorps %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorps %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 3f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" vbroadcastss (%3,%1,4), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vbroadcastss 4(%3,%1,4), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vbroadcastss 8(%3,%1,4), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vbroadcastss 12(%3,%1,4), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
|
||||
" vfnmaddps %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddps %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddps %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddps %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
" vshufps $0xb1 , %%xmm9 , %%xmm9, %%xmm9 \n\t"
|
||||
" vshufps $0xb1 , %%xmm11 , %%xmm11 , %%xmm11 \n\t"
|
||||
" vshufps $0xb1 , %%xmm13 , %%xmm13 , %%xmm13 \n\t"
|
||||
" vshufps $0xb1 , %%xmm15 , %%xmm15 , %%xmm15 \n\t"
|
||||
|
||||
" vaddsubps %%xmm8 , %%xmm9 , %%xmm8 \n\t"
|
||||
" vaddsubps %%xmm10, %%xmm11, %%xmm10 \n\t"
|
||||
" vaddsubps %%xmm12, %%xmm13, %%xmm12 \n\t"
|
||||
" vaddsubps %%xmm14, %%xmm15, %%xmm14 \n\t"
|
||||
|
||||
" vxorps %%xmm7 , %%xmm7 , %%xmm7 \n\t"
|
||||
|
||||
" vaddsubps %%xmm8 , %%xmm7 , %%xmm8 \n\t"
|
||||
" vaddsubps %%xmm10, %%xmm7 , %%xmm10 \n\t"
|
||||
" vaddsubps %%xmm12, %%xmm7 , %%xmm12 \n\t"
|
||||
" vaddsubps %%xmm14, %%xmm7 , %%xmm14 \n\t"
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
|
||||
" vaddps %%xmm0 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vaddps %%xmm1 , %%xmm10, %%xmm10 \n\t"
|
||||
" vaddps %%xmm4 , %%xmm12, %%xmm12 \n\t"
|
||||
" vaddps %%xmm5 , %%xmm14, %%xmm14 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t"
|
||||
" vmovups %%xmm10 ,16(%4) \n\t"
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t"
|
||||
" vmovups %%xmm14 ,16(%5) \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
for (i = 0; i < m; 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 = i + 1; k < m; k ++){
|
||||
*(c + k + j * ldc) -= bb * *(a + k);
|
||||
}
|
||||
|
||||
}
|
||||
a += m;
|
||||
}
|
||||
}
|
||||
|
||||
#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;
|
||||
|
||||
for (i = 0; i < m; 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 = i + 1; k < m; 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;
|
||||
}
|
||||
}
|
||||
|
||||
#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){
|
||||
|
||||
FLOAT *aa, *cc;
|
||||
BLASLONG kk;
|
||||
BLASLONG i, j, jj;
|
||||
|
||||
#if 0
|
||||
fprintf(stderr, "TRSM KERNEL LT : m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
jj = 0;
|
||||
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
|
||||
while (j > 0) {
|
||||
|
||||
kk = offset;
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
|
||||
#ifdef CONJ
|
||||
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#else
|
||||
|
||||
ctrsm_LT_solve_opt(kk, aa, b, cc, ldc, aa + kk * GEMM_UNROLL_M * COMPSIZE, b + kk * GEMM_UNROLL_N * COMPSIZE);
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#endif
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
kk += GEMM_UNROLL_M;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
solve(i, GEMM_UNROLL_N,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
kk += i;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c += GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
j --;
|
||||
jj += GEMM_UNROLL_M;
|
||||
}
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = (GEMM_UNROLL_N >> 1);
|
||||
while (j > 0) {
|
||||
if (n & j) {
|
||||
|
||||
kk = offset;
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, j,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
kk += GEMM_UNROLL_M;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(i, j,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
kk += i;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += j * k * COMPSIZE;
|
||||
c += j * ldc * COMPSIZE;
|
||||
}
|
||||
j >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
|
@ -0,0 +1,454 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_R
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
static void ctrsm_RN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void ctrsm_RN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc*2 ;
|
||||
BLASLONG n1 = n * 4;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorps %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorps %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorps %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorps %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorps %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorps %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorps %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorps %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 3f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" vbroadcastss (%3,%1,4), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vbroadcastss 4(%3,%1,4), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vbroadcastss 8(%3,%1,4), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vbroadcastss 12(%3,%1,4), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
|
||||
" vfnmaddps %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddps %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddps %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddps %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
" vshufps $0xb1 , %%xmm9 , %%xmm9, %%xmm9 \n\t"
|
||||
" vshufps $0xb1 , %%xmm11 , %%xmm11 , %%xmm11 \n\t"
|
||||
" vshufps $0xb1 , %%xmm13 , %%xmm13 , %%xmm13 \n\t"
|
||||
" vshufps $0xb1 , %%xmm15 , %%xmm15 , %%xmm15 \n\t"
|
||||
|
||||
" vaddsubps %%xmm8 , %%xmm9 , %%xmm8 \n\t"
|
||||
" vaddsubps %%xmm10, %%xmm11, %%xmm10 \n\t"
|
||||
" vaddsubps %%xmm12, %%xmm13, %%xmm12 \n\t"
|
||||
" vaddsubps %%xmm14, %%xmm15, %%xmm14 \n\t"
|
||||
|
||||
" vxorps %%xmm7 , %%xmm7 , %%xmm7 \n\t"
|
||||
|
||||
" vaddsubps %%xmm8 , %%xmm7 , %%xmm8 \n\t"
|
||||
" vaddsubps %%xmm10, %%xmm7 , %%xmm10 \n\t"
|
||||
" vaddsubps %%xmm12, %%xmm7 , %%xmm12 \n\t"
|
||||
" vaddsubps %%xmm14, %%xmm7 , %%xmm14 \n\t"
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
|
||||
" vaddps %%xmm0 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vaddps %%xmm1 , %%xmm10, %%xmm10 \n\t"
|
||||
" vaddps %%xmm4 , %%xmm12, %%xmm12 \n\t"
|
||||
" vaddps %%xmm5 , %%xmm14, %%xmm14 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t"
|
||||
" vmovups %%xmm10 ,16(%4) \n\t"
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t"
|
||||
" vmovups %%xmm14 ,16(%5) \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
for (i = 0; i < n; i++) {
|
||||
|
||||
bb = *(b + i);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa = *(c + j + i * ldc);
|
||||
aa *= bb;
|
||||
*a = aa;
|
||||
*(c + j + i * ldc) = aa;
|
||||
a ++;
|
||||
|
||||
for (k = i + 1; k < n; k ++){
|
||||
*(c + j + k * ldc) -= aa * *(b + k);
|
||||
}
|
||||
|
||||
}
|
||||
b += 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;
|
||||
|
||||
for (i = 0; i < n; i++) {
|
||||
|
||||
bb1 = *(b + i * 2 + 0);
|
||||
bb2 = *(b + i * 2 + 1);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa1 = *(c + j * 2 + 0 + i * ldc);
|
||||
aa2 = *(c + j * 2 + 1 + i * 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
|
||||
|
||||
*(a + 0) = cc1;
|
||||
*(a + 1) = cc2;
|
||||
*(c + j * 2 + 0 + i * ldc) = cc1;
|
||||
*(c + j * 2 + 1 + i * ldc) = cc2;
|
||||
a += 2;
|
||||
|
||||
for (k = i + 1; k < n; k ++){
|
||||
#ifndef CONJ
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#else
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= - cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#endif
|
||||
}
|
||||
|
||||
}
|
||||
b += n * 2;
|
||||
}
|
||||
}
|
||||
|
||||
#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){
|
||||
|
||||
FLOAT *aa, *cc;
|
||||
BLASLONG kk;
|
||||
BLASLONG i, j, jj;
|
||||
|
||||
#if 0
|
||||
fprintf(stderr, "TRSM RN KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
jj = 0;
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
kk = -offset;
|
||||
|
||||
while (j > 0) {
|
||||
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
if (i > 0) {
|
||||
do {
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
ctrsm_RN_solve_opt(kk, aa, b, cc, ldc, aa + kk * GEMM_UNROLL_M * COMPSIZE, b + kk * GEMM_UNROLL_N * COMPSIZE);
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#else
|
||||
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#endif
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
solve(i, GEMM_UNROLL_N,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
kk += GEMM_UNROLL_N;
|
||||
b += GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c += GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
j --;
|
||||
jj += GEMM_UNROLL_M;
|
||||
}
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = (GEMM_UNROLL_N >> 1);
|
||||
while (j > 0) {
|
||||
if (n & j) {
|
||||
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, j,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(i, j,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += j * k * COMPSIZE;
|
||||
c += j * ldc * COMPSIZE;
|
||||
kk += j;
|
||||
}
|
||||
j >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
|
@ -0,0 +1,482 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_R
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
static void ctrsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void ctrsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc*2 ;
|
||||
BLASLONG n1 = n * 4;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorps %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorps %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorps %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorps %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorps %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorps %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorps %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorps %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 3f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" vbroadcastss (%3,%1,4), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vbroadcastss 4(%3,%1,4), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vbroadcastss 8(%3,%1,4), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vbroadcastss 12(%3,%1,4), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
|
||||
" vfnmaddps %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddps %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddps %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddps %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddps %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
" vshufps $0xb1 , %%xmm9 , %%xmm9, %%xmm9 \n\t"
|
||||
" vshufps $0xb1 , %%xmm11 , %%xmm11 , %%xmm11 \n\t"
|
||||
" vshufps $0xb1 , %%xmm13 , %%xmm13 , %%xmm13 \n\t"
|
||||
" vshufps $0xb1 , %%xmm15 , %%xmm15 , %%xmm15 \n\t"
|
||||
|
||||
" vaddsubps %%xmm8 , %%xmm9 , %%xmm8 \n\t"
|
||||
" vaddsubps %%xmm10, %%xmm11, %%xmm10 \n\t"
|
||||
" vaddsubps %%xmm12, %%xmm13, %%xmm12 \n\t"
|
||||
" vaddsubps %%xmm14, %%xmm15, %%xmm14 \n\t"
|
||||
|
||||
" vxorps %%xmm7 , %%xmm7 , %%xmm7 \n\t"
|
||||
|
||||
" vaddsubps %%xmm8 , %%xmm7 , %%xmm8 \n\t"
|
||||
" vaddsubps %%xmm10, %%xmm7 , %%xmm10 \n\t"
|
||||
" vaddsubps %%xmm12, %%xmm7 , %%xmm12 \n\t"
|
||||
" vaddsubps %%xmm14, %%xmm7 , %%xmm14 \n\t"
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
|
||||
" vaddps %%xmm0 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vaddps %%xmm1 , %%xmm10, %%xmm10 \n\t"
|
||||
" vaddps %%xmm4 , %%xmm12, %%xmm12 \n\t"
|
||||
" vaddps %%xmm5 , %%xmm14, %%xmm14 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t"
|
||||
" vmovups %%xmm10 ,16(%4) \n\t"
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t"
|
||||
" vmovups %%xmm14 ,16(%5) \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
a += (n - 1) * m;
|
||||
b += (n - 1) * n;
|
||||
|
||||
for (i = n - 1; i >= 0; i--) {
|
||||
|
||||
bb = *(b + i);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa = *(c + j + i * ldc);
|
||||
aa *= bb;
|
||||
*a = aa;
|
||||
*(c + j + i * ldc) = aa;
|
||||
a ++;
|
||||
|
||||
for (k = 0; k < i; k ++){
|
||||
*(c + j + k * ldc) -= aa * *(b + k);
|
||||
}
|
||||
|
||||
}
|
||||
b -= n;
|
||||
a -= 2 * m;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
#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 += (n - 1) * m * 2;
|
||||
b += (n - 1) * n * 2;
|
||||
|
||||
for (i = n - 1; i >= 0; i--) {
|
||||
|
||||
bb1 = *(b + i * 2 + 0);
|
||||
bb2 = *(b + i * 2 + 1);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
|
||||
aa1 = *(c + j * 2 + 0 + i * ldc);
|
||||
aa2 = *(c + j * 2 + 1 + i * 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
|
||||
|
||||
*(a + 0) = cc1;
|
||||
*(a + 1) = cc2;
|
||||
|
||||
*(c + j * 2 + 0 + i * ldc) = cc1;
|
||||
*(c + j * 2 + 1 + i * ldc) = cc2;
|
||||
a += 2;
|
||||
|
||||
for (k = 0; k < i; k ++){
|
||||
#ifndef CONJ
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#else
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= -cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#endif
|
||||
}
|
||||
|
||||
}
|
||||
b -= n * 2;
|
||||
a -= 4 * m;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
#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 RT KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
kk = n - offset;
|
||||
c += n * ldc * COMPSIZE;
|
||||
b += n * k * COMPSIZE;
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = 1;
|
||||
while (j < GEMM_UNROLL_N) {
|
||||
if (n & j) {
|
||||
|
||||
aa = a;
|
||||
b -= j * k * COMPSIZE;
|
||||
c -= j * ldc* COMPSIZE;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
if (i > 0) {
|
||||
|
||||
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 - j) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - j) * j * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
do {
|
||||
if (m & i) {
|
||||
|
||||
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 - j) * i * COMPSIZE,
|
||||
b + (kk - j) * j * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
|
||||
}
|
||||
i >>= 1;
|
||||
} while (i > 0);
|
||||
}
|
||||
kk -= j;
|
||||
}
|
||||
j <<= 1;
|
||||
}
|
||||
}
|
||||
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
|
||||
if (j > 0) {
|
||||
|
||||
do {
|
||||
aa = a;
|
||||
b -= GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c -= GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
if (i > 0) {
|
||||
do {
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
ctrsm_RT_solve_opt(k-kk, aa + GEMM_UNROLL_M * kk * COMPSIZE, b + GEMM_UNROLL_N * kk * COMPSIZE, cc, ldc,
|
||||
aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE, b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE);
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
#else
|
||||
if (k - kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, k - kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa + GEMM_UNROLL_M * kk * COMPSIZE,
|
||||
b + GEMM_UNROLL_N * kk * COMPSIZE,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
#endif
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
do {
|
||||
if (m & i) {
|
||||
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 - GEMM_UNROLL_N) * i * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
kk -= GEMM_UNROLL_N;
|
||||
j --;
|
||||
} while (j > 0);
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
|
|
@ -0,0 +1,697 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_L
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
static void dtrsm_LN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void dtrsm_LN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc ;
|
||||
BLASLONG n1 = n * 8;
|
||||
BLASLONG i=0;
|
||||
|
||||
bs += 14;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorpd %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorpd %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorpd %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorpd %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorpd %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorpd %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorpd %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorpd %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 2f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" prefetcht0 384(%2,%1,8) \n\t"
|
||||
" prefetcht0 384(%3,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,2), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vmovddup 8(%3,%1,2), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddpd %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddpd %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddpd %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddpd %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddpd %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddpd %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddpd %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" prefetcht0 384(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,2), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vmovddup 8(%3,%1,2), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddpd %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddpd %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddpd %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddpd %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddpd %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddpd %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddpd %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" prefetcht0 384(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,2), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vmovddup 8(%3,%1,2), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddpd %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddpd %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddpd %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddpd %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddpd %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddpd %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddpd %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" prefetcht0 384(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,2), %%xmm0 \n\t" // read b
|
||||
" vmovddup 8(%3,%1,2), %%xmm1 \n\t"
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddpd %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddpd %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddpd %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddpd %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddpd %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddpd %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddpd %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
" vmovups 32(%4) , %%xmm2 \n\t"
|
||||
" vmovups 48(%4) , %%xmm3 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
" vmovups 32(%5) , %%xmm6 \n\t"
|
||||
" vmovups 48(%5) , %%xmm7 \n\t"
|
||||
|
||||
" vsubpd %%xmm8 , %%xmm0 , %%xmm8 \n\t"
|
||||
" vsubpd %%xmm9 , %%xmm1 , %%xmm9 \n\t"
|
||||
" vsubpd %%xmm10, %%xmm2 , %%xmm10 \n\t"
|
||||
" vsubpd %%xmm11, %%xmm3 , %%xmm11 \n\t"
|
||||
|
||||
" vsubpd %%xmm12, %%xmm4 , %%xmm12 \n\t"
|
||||
" vsubpd %%xmm13, %%xmm5 , %%xmm13 \n\t"
|
||||
" vsubpd %%xmm14, %%xmm6 , %%xmm14 \n\t"
|
||||
" vsubpd %%xmm15, %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" movq $56, %1 \n\t" // i = 7
|
||||
" xorq %0, %0 \n\t" // pointer for bs
|
||||
|
||||
" vmovddup 56(%6, %1, 8) , %%xmm0 \n\t" // read aa[i]
|
||||
" vunpckhpd %%xmm11 , %%xmm11, %%xmm1 \n\t" // extract bb0
|
||||
" vunpckhpd %%xmm15 , %%xmm15, %%xmm2 \n\t" // extract bb1
|
||||
" vmulpd %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulpd %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb0 * aa
|
||||
" vmovsd %%xmm1 , 56(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 56(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovsd %%xmm1 , (%7 , %0, 8) \n\t" // b[0] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 8(%7 , %0, 8) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6, %1, 8) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6, %1, 8) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6, %1, 8) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovsd 48(%6, %1, 8) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddpd %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddpd %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfnmaddpd %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfnmaddpd %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddpd %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddsd %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddsd %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" subq $8, %1 \n\t" // i = 6
|
||||
" subq $2, %0 \n\t" // b-= n
|
||||
|
||||
" vmovddup 48(%6, %1, 8) , %%xmm0 \n\t" // read aa[i]
|
||||
" vunpcklpd %%xmm11 , %%xmm11, %%xmm1 \n\t" // extract bb0
|
||||
" vunpcklpd %%xmm15 , %%xmm15, %%xmm2 \n\t" // extract bb1
|
||||
" vmulpd %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulpd %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
||||
" vmovsd %%xmm1 , 48(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 48(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovsd %%xmm1 , (%7 , %0, 8) \n\t" // b[0] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 8(%7 , %0, 8) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6, %1, 8) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6, %1, 8) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6, %1, 8) , %%xmm6 \n\t" // read a[k]
|
||||
" vfnmaddpd %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddpd %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfnmaddpd %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfnmaddpd %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddpd %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
|
||||
" subq $8, %1 \n\t" // i = 5
|
||||
" subq $2, %0 \n\t" // b-= n
|
||||
|
||||
" vmovddup 40(%6, %1, 8) , %%xmm0 \n\t" // read aa[i]
|
||||
" vunpckhpd %%xmm10 , %%xmm10, %%xmm1 \n\t" // extract bb0
|
||||
" vunpckhpd %%xmm14 , %%xmm14, %%xmm2 \n\t" // extract bb1
|
||||
" vmulpd %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulpd %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb0 * aa
|
||||
" vmovsd %%xmm1 , 40(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 40(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovsd %%xmm1 , (%7 , %0, 8) \n\t" // b[0] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 8(%7 , %0, 8) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6, %1, 8) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6, %1, 8) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovsd 32(%6, %1, 8) , %%xmm6 \n\t" // read a[k]
|
||||
" vfnmaddpd %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddpd %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfnmaddpd %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfnmaddsd %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddsd %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
|
||||
" subq $8, %1 \n\t" // i = 4
|
||||
" subq $2, %0 \n\t" // b-= n
|
||||
|
||||
" vmovddup 32(%6, %1, 8) , %%xmm0 \n\t" // read aa[i]
|
||||
" vunpcklpd %%xmm10 , %%xmm10, %%xmm1 \n\t" // extract bb0
|
||||
" vunpcklpd %%xmm14 , %%xmm14, %%xmm2 \n\t" // extract bb1
|
||||
" vmulpd %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulpd %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb0 * aa
|
||||
" vmovsd %%xmm1 , 32(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 32(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovsd %%xmm1 , (%7 , %0, 8) \n\t" // b[0] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 8(%7 , %0, 8) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
|
||||
" vmovups 0(%6, %1, 8) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6, %1, 8) , %%xmm5 \n\t" // read a[k]
|
||||
" vfnmaddpd %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddpd %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfnmaddpd %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
||||
|
||||
" subq $8, %1 \n\t" // i = 3
|
||||
" subq $2, %0 \n\t" // b-= n
|
||||
|
||||
" vmovddup 24(%6, %1, 8) , %%xmm0 \n\t" // read aa[i]
|
||||
" vunpckhpd %%xmm9 , %%xmm9 , %%xmm1 \n\t" // extract bb0
|
||||
" vunpckhpd %%xmm13 , %%xmm13, %%xmm2 \n\t" // extract bb1
|
||||
" vmulpd %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulpd %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb0 * aa
|
||||
" vmovsd %%xmm1 , 24(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 24(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovsd %%xmm1 , (%7 , %0, 8) \n\t" // b[0] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 8(%7 , %0, 8) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6, %1, 8) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovsd 16(%6, %1, 8) , %%xmm5 \n\t" // read a[k]
|
||||
" vfnmaddpd %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddpd %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfnmaddsd %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfnmaddsd %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
||||
|
||||
" subq $8, %1 \n\t" // i = 2
|
||||
" subq $2, %0 \n\t" // b-= n
|
||||
|
||||
" vmovddup 16(%6, %1, 8) , %%xmm0 \n\t" // read aa[i]
|
||||
" vunpcklpd %%xmm9 , %%xmm9 , %%xmm1 \n\t" // extract bb0
|
||||
" vunpcklpd %%xmm13 , %%xmm13, %%xmm2 \n\t" // extract bb1
|
||||
" vmulpd %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulpd %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb0 * aa
|
||||
" vmovsd %%xmm1 , 16(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 16(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovsd %%xmm1 , (%7 , %0, 8) \n\t" // b[0] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 8(%7 , %0, 8) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6, %1, 8) , %%xmm4 \n\t" // read a[k]
|
||||
" vfnmaddpd %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddpd %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
|
||||
" subq $8, %1 \n\t" // i = 1
|
||||
" subq $2, %0 \n\t" // b-= n
|
||||
|
||||
" vmovddup 8(%6, %1, 8) , %%xmm0 \n\t" // read aa[i]
|
||||
" vunpckhpd %%xmm8 , %%xmm8 , %%xmm1 \n\t" // extract bb0
|
||||
" vunpckhpd %%xmm12 , %%xmm12, %%xmm2 \n\t" // extract bb1
|
||||
" vmulpd %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulpd %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb0 * aa
|
||||
" vmovsd %%xmm1 , 8(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 8(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovsd %%xmm1 , (%7 , %0, 8) \n\t" // b[0] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 8(%7 , %0, 8) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovsd 0(%6, %1, 8) , %%xmm4 \n\t" // read a[k]
|
||||
" vfnmaddsd %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddsd %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
|
||||
" subq $8, %1 \n\t" // i = 0
|
||||
" subq $2, %0 \n\t" // b-= n
|
||||
|
||||
" vmovddup 0(%6, %1, 8) , %%xmm0 \n\t" // read aa[i]
|
||||
" vunpcklpd %%xmm8 , %%xmm8 , %%xmm1 \n\t" // extract bb0
|
||||
" vunpcklpd %%xmm12 , %%xmm12, %%xmm2 \n\t" // extract bb1
|
||||
" vmulpd %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulpd %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb0 * aa
|
||||
" vmovsd %%xmm1 , 0(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 0(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovsd %%xmm1 , (%7 , %0, 8) \n\t" // b[0] = bb0 * aa
|
||||
" vmovsd %%xmm2 , 8(%7 , %0, 8) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
FLOAT *cj;
|
||||
|
||||
|
||||
BLASLONG 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 ++) {
|
||||
cj = c + j * ldc;
|
||||
bb = *(cj + i);
|
||||
bb *= aa;
|
||||
*b = bb;
|
||||
*(cj + i) = bb;
|
||||
b ++;
|
||||
|
||||
BLASLONG i1 = i & -4 ;
|
||||
FLOAT t0,t1,t2,t3;
|
||||
|
||||
k=0;
|
||||
|
||||
|
||||
if ( i & 4 )
|
||||
{
|
||||
t0 = cj[k];
|
||||
t1 = cj[k+1];
|
||||
t2 = cj[k+2];
|
||||
t3 = cj[k+3];
|
||||
|
||||
t0 -= bb * a[k+0];
|
||||
t1 -= bb * a[k+1];
|
||||
t2 -= bb * a[k+2];
|
||||
t3 -= bb * a[k+3];
|
||||
|
||||
cj[k+0] = t0;
|
||||
cj[k+1] = t1;
|
||||
cj[k+2] = t2;
|
||||
cj[k+3] = t3;
|
||||
|
||||
k+=4;
|
||||
}
|
||||
|
||||
if ( i & 2 )
|
||||
{
|
||||
t0 = a[k];
|
||||
t1 = a[k+1];
|
||||
|
||||
t0 *= bb;
|
||||
t1 *= bb;
|
||||
|
||||
cj[k+0] -= t0;
|
||||
cj[k+1] -= t1;
|
||||
|
||||
k+=2;
|
||||
}
|
||||
|
||||
if ( i & 1 )
|
||||
{
|
||||
t0 = bb * a[k];
|
||||
cj[k+0] -= t0;
|
||||
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
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 {
|
||||
dtrsm_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;
|
||||
}
|
||||
|
|
@ -0,0 +1,677 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_R
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
static void dtrsm_RN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void dtrsm_RN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c3 = c + ldc + ldc*2 ;
|
||||
FLOAT *c6 = c + ldc*4 + ldc*2 ;
|
||||
ldc = ldc *8;
|
||||
BLASLONG n1 = n * 8;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
|
||||
" vxorpd %%ymm8 , %%ymm8 , %%ymm8 \n\t"
|
||||
" vxorpd %%ymm9 , %%ymm9 , %%ymm9 \n\t"
|
||||
" vxorpd %%ymm10, %%ymm10, %%ymm10 \n\t"
|
||||
" vxorpd %%ymm11, %%ymm11, %%ymm11 \n\t"
|
||||
" vxorpd %%ymm12, %%ymm12, %%ymm12 \n\t"
|
||||
" vxorpd %%ymm13, %%ymm13, %%ymm13 \n\t"
|
||||
" vxorpd %%ymm14, %%ymm14, %%ymm14 \n\t"
|
||||
" vxorpd %%ymm15, %%ymm15, %%ymm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 4f \n\t"
|
||||
|
||||
" vmovups (%2,%1,4), %%ymm0 \n\t" // read a
|
||||
" vmovups (%3,%1,8), %%ymm1 \n\t" // read b0
|
||||
" vmovups 32(%3,%1,8), %%ymm2 \n\t" // read b1
|
||||
|
||||
|
||||
" addq $8, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
" je 21f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" vmovups (%2,%1,4), %%ymm4 \n\t" // read a
|
||||
" vpermpd $0xb1 , %%ymm0 , %%ymm3 \n\t"
|
||||
|
||||
" vfmadd231pd %%ymm0 , %%ymm1 , %%ymm8 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm2 , %%ymm12 \n\t"
|
||||
|
||||
" vmovups (%3,%1,8), %%ymm5 \n\t" // read b0
|
||||
" vfmadd231pd %%ymm3 , %%ymm1 , %%ymm9 \n\t"
|
||||
" vfmadd231pd %%ymm3 , %%ymm2 , %%ymm13 \n\t"
|
||||
|
||||
" vpermpd $0x1b , %%ymm3 , %%ymm0 \n\t"
|
||||
" vmovups 32(%3,%1,8), %%ymm6 \n\t" // read b1
|
||||
" vpermpd $0xb1 , %%ymm0 , %%ymm3 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm1 , %%ymm10 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm2 , %%ymm14 \n\t"
|
||||
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmadd231pd %%ymm3 , %%ymm1 , %%ymm11 \n\t"
|
||||
" vfmadd231pd %%ymm3 , %%ymm2 , %%ymm15 \n\t"
|
||||
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 22f \n\t"
|
||||
|
||||
" vmovups (%2,%1,4), %%ymm0 \n\t" // read a
|
||||
|
||||
" vfmadd231pd %%ymm4 , %%ymm5 , %%ymm8 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm6 , %%ymm12 \n\t"
|
||||
|
||||
" vpermpd $0xb1 , %%ymm4 , %%ymm4 \n\t"
|
||||
" vmovups (%3,%1,8), %%ymm1 \n\t" // read b0
|
||||
" vfmadd231pd %%ymm4 , %%ymm5 , %%ymm9 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm6 , %%ymm13 \n\t"
|
||||
|
||||
" vpermpd $0x1b , %%ymm4 , %%ymm4 \n\t"
|
||||
" vmovups 32(%3,%1,8), %%ymm2 \n\t" // read b1
|
||||
" vfmadd231pd %%ymm4 , %%ymm5 , %%ymm10 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm6 , %%ymm14 \n\t"
|
||||
|
||||
" vpermpd $0xb1 , %%ymm4 , %%ymm4 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm5 , %%ymm11 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm6 , %%ymm15 \n\t"
|
||||
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
|
||||
"21: \n\t"
|
||||
|
||||
" vfmadd231pd %%ymm0 , %%ymm1 , %%ymm8 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm2 , %%ymm12 \n\t"
|
||||
|
||||
" vpermpd $0xb1 , %%ymm0 , %%ymm0 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm1 , %%ymm9 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm2 , %%ymm13 \n\t"
|
||||
|
||||
" vpermpd $0x1b , %%ymm0 , %%ymm0 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm1 , %%ymm10 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm2 , %%ymm14 \n\t"
|
||||
|
||||
" vpermpd $0xb1 , %%ymm0 , %%ymm0 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm1 , %%ymm11 \n\t"
|
||||
" vfmadd231pd %%ymm0 , %%ymm2 , %%ymm15 \n\t"
|
||||
|
||||
" jmp 3f \n\t"
|
||||
|
||||
"22: \n\t"
|
||||
|
||||
" vfmadd231pd %%ymm4 , %%ymm5 , %%ymm8 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm6 , %%ymm12 \n\t"
|
||||
|
||||
" vpermpd $0xb1 , %%ymm4 , %%ymm4 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm5 , %%ymm9 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm6 , %%ymm13 \n\t"
|
||||
|
||||
" vpermpd $0x1b , %%ymm4 , %%ymm4 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm5 , %%ymm10 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm6 , %%ymm14 \n\t"
|
||||
|
||||
" vpermpd $0xb1 , %%ymm4 , %%ymm4 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm5 , %%ymm11 \n\t"
|
||||
" vfmadd231pd %%ymm4 , %%ymm6 , %%ymm15 \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vpermpd $0xb1 , %%ymm9 , %%ymm9 \n\t"
|
||||
" vpermpd $0xb1 , %%ymm11, %%ymm11 \n\t"
|
||||
|
||||
" vblendpd $0x0a , %%ymm9 , %%ymm8 , %%ymm0 \n\t"
|
||||
" vblendpd $0x05 , %%ymm9 , %%ymm8 , %%ymm1 \n\t"
|
||||
" vblendpd $0x0a , %%ymm11, %%ymm10, %%ymm2 \n\t"
|
||||
" vblendpd $0x05 , %%ymm11, %%ymm10, %%ymm3 \n\t"
|
||||
|
||||
" vpermpd $0x1b , %%ymm2 , %%ymm2 \n\t"
|
||||
" vpermpd $0x1b , %%ymm3 , %%ymm3 \n\t"
|
||||
" vpermpd $0xb1 , %%ymm2 , %%ymm2 \n\t"
|
||||
" vpermpd $0xb1 , %%ymm3 , %%ymm3 \n\t"
|
||||
|
||||
" vblendpd $0x03 , %%ymm0 , %%ymm2 , %%ymm8 \n\t"
|
||||
" vblendpd $0x03 , %%ymm1 , %%ymm3 , %%ymm9 \n\t"
|
||||
" vblendpd $0x03 , %%ymm2 , %%ymm0 , %%ymm10 \n\t"
|
||||
" vblendpd $0x03 , %%ymm3 , %%ymm1 , %%ymm11 \n\t"
|
||||
|
||||
" vpermpd $0xb1 , %%ymm13, %%ymm13 \n\t"
|
||||
" vpermpd $0xb1 , %%ymm15, %%ymm15 \n\t"
|
||||
|
||||
" vblendpd $0x0a , %%ymm13, %%ymm12, %%ymm0 \n\t"
|
||||
" vblendpd $0x05 , %%ymm13, %%ymm12, %%ymm1 \n\t"
|
||||
" vblendpd $0x0a , %%ymm15, %%ymm14, %%ymm2 \n\t"
|
||||
" vblendpd $0x05 , %%ymm15, %%ymm14, %%ymm3 \n\t"
|
||||
|
||||
" vpermpd $0x1b , %%ymm2 , %%ymm2 \n\t"
|
||||
" vpermpd $0x1b , %%ymm3 , %%ymm3 \n\t"
|
||||
" vpermpd $0xb1 , %%ymm2 , %%ymm2 \n\t"
|
||||
" vpermpd $0xb1 , %%ymm3 , %%ymm3 \n\t"
|
||||
|
||||
" vblendpd $0x03 , %%ymm0 , %%ymm2 , %%ymm12 \n\t"
|
||||
" vblendpd $0x03 , %%ymm1 , %%ymm3 , %%ymm13 \n\t"
|
||||
" vblendpd $0x03 , %%ymm2 , %%ymm0 , %%ymm14 \n\t"
|
||||
" vblendpd $0x03 , %%ymm3 , %%ymm1 , %%ymm15 \n\t"
|
||||
|
||||
|
||||
"4: \n\t"
|
||||
|
||||
" vmovups (%4) , %%ymm0 \n\t" // read c0
|
||||
" vmovups (%4,%7,1) , %%ymm1 \n\t" // read c1
|
||||
" vmovups (%4,%7,2) , %%ymm2 \n\t" // read c2
|
||||
" vmovups (%5) , %%ymm3 \n\t" // read c3
|
||||
|
||||
" vmovups (%5,%7,1) , %%ymm4 \n\t" // read c4
|
||||
" vmovups (%5,%7,2) , %%ymm5 \n\t" // read c5
|
||||
" vmovups (%6) , %%ymm6 \n\t" // read c6
|
||||
" vmovups (%6,%7,1) , %%ymm7 \n\t" // read c7
|
||||
|
||||
" vsubpd %%ymm8 , %%ymm0 , %%ymm8 \n\t"
|
||||
" vmovups (%9), %%ymm0 \n\t"
|
||||
" vsubpd %%ymm9 , %%ymm1 , %%ymm9 \n\t"
|
||||
" vpermpd $0x55 , %%ymm0 , %%ymm1 \n\t"
|
||||
" vsubpd %%ymm10, %%ymm2 , %%ymm10 \n\t"
|
||||
" vpermpd $0xaa , %%ymm0 , %%ymm2 \n\t"
|
||||
" vsubpd %%ymm11, %%ymm3 , %%ymm11 \n\t"
|
||||
" vpermpd $0xff , %%ymm0 , %%ymm3 \n\t"
|
||||
" vpermpd $0x00 , %%ymm0 , %%ymm0 \n\t"
|
||||
|
||||
" vsubpd %%ymm12, %%ymm4 , %%ymm12 \n\t"
|
||||
" vmovups 32(%9), %%ymm4 \n\t"
|
||||
" vsubpd %%ymm13, %%ymm5 , %%ymm13 \n\t"
|
||||
" vpermpd $0x55 , %%ymm4 , %%ymm5 \n\t"
|
||||
" vsubpd %%ymm14, %%ymm6 , %%ymm14 \n\t"
|
||||
" vpermpd $0xaa , %%ymm4 , %%ymm6 \n\t"
|
||||
" vsubpd %%ymm15, %%ymm7 , %%ymm15 \n\t"
|
||||
" vpermpd $0xff , %%ymm4 , %%ymm7 \n\t"
|
||||
" vpermpd $0x00 , %%ymm4 , %%ymm4 \n\t"
|
||||
|
||||
|
||||
"5: \n\t" // i = 0
|
||||
|
||||
" addq $64, %9 \n\t" // b=b+8
|
||||
|
||||
" vmulpd %%ymm8 , %%ymm0, %%ymm8 \n\t" // a *bb
|
||||
" vmovups (%9), %%ymm0 \n\t"
|
||||
" vmovups %%ymm8 , (%8) \n\t" // write a
|
||||
" vmovups %%ymm8 , (%4) \n\t" // write c
|
||||
|
||||
" vfnmadd231pd %%ymm8 , %%ymm1 , %%ymm9 \n\t"
|
||||
" vmovups 32(%9), %%ymm1 \n\t"
|
||||
" vfnmadd231pd %%ymm8 , %%ymm2 , %%ymm10 \n\t"
|
||||
" vpermpd $0xaa , %%ymm0 , %%ymm2 \n\t"
|
||||
" vfnmadd231pd %%ymm8 , %%ymm3 , %%ymm11 \n\t"
|
||||
" vpermpd $0xff , %%ymm0 , %%ymm3 \n\t"
|
||||
" vfnmadd231pd %%ymm8 , %%ymm4 , %%ymm12 \n\t"
|
||||
" vpermpd $0x55 , %%ymm0 , %%ymm0 \n\t"
|
||||
" vfnmadd231pd %%ymm8 , %%ymm5 , %%ymm13 \n\t"
|
||||
" vpermpd $0x55 , %%ymm1 , %%ymm5 \n\t"
|
||||
" vfnmadd231pd %%ymm8 , %%ymm6 , %%ymm14 \n\t"
|
||||
" vpermpd $0xaa , %%ymm1 , %%ymm6 \n\t"
|
||||
" vfnmadd231pd %%ymm8 , %%ymm7 , %%ymm15 \n\t"
|
||||
" vpermpd $0xff , %%ymm1 , %%ymm7 \n\t"
|
||||
" vpermpd $0x00 , %%ymm1 , %%ymm4 \n\t"
|
||||
|
||||
" addq $64, %9 \n\t" // b=b+8
|
||||
" addq $32, %8 \n\t" // a=a+8
|
||||
|
||||
|
||||
|
||||
" vmulpd %%ymm9 , %%ymm0, %%ymm9 \n\t" // a *bb
|
||||
" vmovups (%9), %%ymm0 \n\t"
|
||||
" vmovups 32(%9), %%ymm1 \n\t"
|
||||
" vmovups %%ymm9 , (%8) \n\t" // write a
|
||||
" vmovups %%ymm9 , (%4,%7,1) \n\t" // write c
|
||||
|
||||
" vfnmadd231pd %%ymm9 , %%ymm2 , %%ymm10 \n\t"
|
||||
" vfnmadd231pd %%ymm9 , %%ymm3 , %%ymm11 \n\t"
|
||||
" vpermpd $0xff , %%ymm0 , %%ymm3 \n\t"
|
||||
" vfnmadd231pd %%ymm9 , %%ymm4 , %%ymm12 \n\t"
|
||||
" vpermpd $0xaa , %%ymm0 , %%ymm0 \n\t"
|
||||
" vfnmadd231pd %%ymm9 , %%ymm5 , %%ymm13 \n\t"
|
||||
" vpermpd $0x55 , %%ymm1 , %%ymm5 \n\t"
|
||||
" vfnmadd231pd %%ymm9 , %%ymm6 , %%ymm14 \n\t"
|
||||
" vpermpd $0xaa , %%ymm1 , %%ymm6 \n\t"
|
||||
" vfnmadd231pd %%ymm9 , %%ymm7 , %%ymm15 \n\t"
|
||||
" vpermpd $0xff , %%ymm1 , %%ymm7 \n\t"
|
||||
" vpermpd $0x00 , %%ymm1 , %%ymm4 \n\t"
|
||||
|
||||
" addq $64, %9 \n\t" // b=b+8
|
||||
" addq $32, %8 \n\t" // a=a+8
|
||||
|
||||
" vmulpd %%ymm10, %%ymm0, %%ymm10 \n\t" // a *bb
|
||||
" vmovups (%9), %%ymm0 \n\t"
|
||||
" vmovups 32(%9), %%ymm1 \n\t"
|
||||
" vmovups %%ymm10, (%8) \n\t" // write a
|
||||
" vmovups %%ymm10, (%4,%7,2) \n\t" // write c
|
||||
|
||||
" vfnmadd231pd %%ymm10, %%ymm3 , %%ymm11 \n\t"
|
||||
" vpermpd $0xff , %%ymm0 , %%ymm0 \n\t"
|
||||
" vfnmadd231pd %%ymm10, %%ymm4 , %%ymm12 \n\t"
|
||||
" vfnmadd231pd %%ymm10, %%ymm5 , %%ymm13 \n\t"
|
||||
" vpermpd $0x55 , %%ymm1 , %%ymm5 \n\t"
|
||||
" vfnmadd231pd %%ymm10, %%ymm6 , %%ymm14 \n\t"
|
||||
" vpermpd $0xaa , %%ymm1 , %%ymm6 \n\t"
|
||||
" vfnmadd231pd %%ymm10, %%ymm7 , %%ymm15 \n\t"
|
||||
" vpermpd $0xff , %%ymm1 , %%ymm7 \n\t"
|
||||
" vpermpd $0x00 , %%ymm1 , %%ymm4 \n\t"
|
||||
|
||||
|
||||
" addq $64, %9 \n\t" // b=b+8
|
||||
" addq $32, %8 \n\t" // a=a+8
|
||||
|
||||
|
||||
|
||||
" vmulpd %%ymm11, %%ymm0, %%ymm11 \n\t" // a *bb
|
||||
" vmovups 32(%9), %%ymm1 \n\t"
|
||||
" vmovups %%ymm11, (%8) \n\t" // write a
|
||||
" vmovups %%ymm11, (%5) \n\t" // write c
|
||||
|
||||
" vfnmadd231pd %%ymm11, %%ymm4 , %%ymm12 \n\t"
|
||||
" vfnmadd231pd %%ymm11, %%ymm5 , %%ymm13 \n\t"
|
||||
" vpermpd $0x55 , %%ymm1 , %%ymm5 \n\t"
|
||||
" vfnmadd231pd %%ymm11, %%ymm6 , %%ymm14 \n\t"
|
||||
" vpermpd $0xaa , %%ymm1 , %%ymm6 \n\t"
|
||||
" vfnmadd231pd %%ymm11, %%ymm7 , %%ymm15 \n\t"
|
||||
" vpermpd $0xff , %%ymm1 , %%ymm7 \n\t"
|
||||
" vpermpd $0x00 , %%ymm1 , %%ymm0 \n\t"
|
||||
|
||||
|
||||
" addq $64, %9 \n\t" // b=b+8
|
||||
" addq $32, %8 \n\t" // a=a+8
|
||||
|
||||
|
||||
" vmulpd %%ymm12, %%ymm0, %%ymm12 \n\t" // a *bb
|
||||
" vmovups 32(%9), %%ymm1 \n\t"
|
||||
" vmovups %%ymm12, (%8) \n\t" // write a
|
||||
" vmovups %%ymm12, (%5,%7,1) \n\t" // write c
|
||||
|
||||
" vfnmadd231pd %%ymm12, %%ymm5 , %%ymm13 \n\t"
|
||||
" vfnmadd231pd %%ymm12, %%ymm6 , %%ymm14 \n\t"
|
||||
" vpermpd $0xaa , %%ymm1 , %%ymm6 \n\t"
|
||||
" vfnmadd231pd %%ymm12, %%ymm7 , %%ymm15 \n\t"
|
||||
" vpermpd $0xff , %%ymm1 , %%ymm7 \n\t"
|
||||
" vpermpd $0x55 , %%ymm1 , %%ymm0 \n\t"
|
||||
|
||||
" addq $64, %9 \n\t" // b=b+8
|
||||
" addq $32, %8 \n\t" // a=a+8
|
||||
|
||||
" vmulpd %%ymm13, %%ymm0, %%ymm13 \n\t" // a *bb
|
||||
" vmovups 32(%9), %%ymm1 \n\t"
|
||||
" vmovups %%ymm13, (%8) \n\t" // write a
|
||||
" vmovups %%ymm13, (%5,%7,2) \n\t" // write c
|
||||
|
||||
" vfnmadd231pd %%ymm13, %%ymm6 , %%ymm14 \n\t"
|
||||
" vfnmadd231pd %%ymm13, %%ymm7 , %%ymm15 \n\t"
|
||||
" vpermpd $0xff , %%ymm1 , %%ymm7 \n\t"
|
||||
" vpermpd $0xaa , %%ymm1 , %%ymm0 \n\t"
|
||||
|
||||
|
||||
" addq $64, %9 \n\t" // b=b+8
|
||||
" addq $32, %8 \n\t" // a=a+8
|
||||
|
||||
|
||||
" vmulpd %%ymm14, %%ymm0, %%ymm14 \n\t" // a *bb
|
||||
" vmovups 32(%9), %%ymm1 \n\t"
|
||||
" vmovups %%ymm14, (%8) \n\t" // write a
|
||||
" vmovups %%ymm14, (%6) \n\t" // write c
|
||||
|
||||
" vfnmadd231pd %%ymm14, %%ymm7 , %%ymm15 \n\t"
|
||||
|
||||
" vpermpd $0xff , %%ymm1 , %%ymm0 \n\t"
|
||||
|
||||
" addq $32, %8 \n\t" // a=a+8
|
||||
|
||||
" vmulpd %%ymm15, %%ymm0, %%ymm15 \n\t" // a *bb
|
||||
" vmovups %%ymm15, (%8) \n\t" // write a
|
||||
" vmovups %%ymm15, (%6,%7,1) \n\t" // write c
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c3), // 5
|
||||
"r" (c6), // 6
|
||||
"r" (ldc), // 7
|
||||
"r" (as), // 8
|
||||
"r" (bs) // 9
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
for (i = 0; i < n; i++) {
|
||||
|
||||
bb = *(b + i);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa = *(c + j + i * ldc);
|
||||
aa *= bb;
|
||||
*a = aa;
|
||||
*(c + j + i * ldc) = aa;
|
||||
a ++;
|
||||
|
||||
for (k = i + 1; k < n; k ++){
|
||||
*(c + j + k * ldc) -= aa * *(b + k);
|
||||
}
|
||||
|
||||
}
|
||||
b += 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;
|
||||
|
||||
for (i = 0; i < n; i++) {
|
||||
|
||||
bb1 = *(b + i * 2 + 0);
|
||||
bb2 = *(b + i * 2 + 1);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa1 = *(c + j * 2 + 0 + i * ldc);
|
||||
aa2 = *(c + j * 2 + 1 + i * 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
|
||||
|
||||
*(a + 0) = cc1;
|
||||
*(a + 1) = cc2;
|
||||
*(c + j * 2 + 0 + i * ldc) = cc1;
|
||||
*(c + j * 2 + 1 + i * ldc) = cc2;
|
||||
a += 2;
|
||||
|
||||
for (k = i + 1; k < n; k ++){
|
||||
#ifndef CONJ
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#else
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= - cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#endif
|
||||
}
|
||||
|
||||
}
|
||||
b += n * 2;
|
||||
}
|
||||
}
|
||||
|
||||
#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){
|
||||
|
||||
FLOAT *aa, *cc;
|
||||
BLASLONG kk;
|
||||
BLASLONG i, j, jj;
|
||||
|
||||
#if 0
|
||||
fprintf(stderr, "TRSM RN KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
jj = 0;
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
kk = -offset;
|
||||
|
||||
while (j > 0) {
|
||||
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
if (i > 0) {
|
||||
do {
|
||||
|
||||
dtrsm_RN_solve_opt(kk, aa, b, cc, ldc, aa + kk * GEMM_UNROLL_M * COMPSIZE, b + kk * GEMM_UNROLL_N * COMPSIZE);
|
||||
/*
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
*/
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
solve(i, GEMM_UNROLL_N,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
kk += GEMM_UNROLL_N;
|
||||
b += GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c += GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
j --;
|
||||
jj += GEMM_UNROLL_M;
|
||||
}
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = (GEMM_UNROLL_N >> 1);
|
||||
while (j > 0) {
|
||||
if (n & j) {
|
||||
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, j,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(i, j,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += j * k * COMPSIZE;
|
||||
c += j * ldc * COMPSIZE;
|
||||
kk += j;
|
||||
}
|
||||
j >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
|
@ -0,0 +1,546 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_R
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
static void dtrsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void dtrsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc ;
|
||||
BLASLONG n1 = n * 8;
|
||||
BLASLONG i=0;
|
||||
|
||||
as += (2 - 1) * 8;
|
||||
bs += (2 - 1) * 2;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorpd %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorpd %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorpd %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorpd %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorpd %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorpd %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorpd %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorpd %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 2f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" prefetcht0 384(%2,%1,8) \n\t"
|
||||
" prefetcht0 384(%3,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,2), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vmovddup 8(%3,%1,2), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddpd %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddpd %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddpd %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddpd %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddpd %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddpd %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddpd %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" prefetcht0 384(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,2), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vmovddup 8(%3,%1,2), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddpd %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddpd %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddpd %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddpd %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddpd %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddpd %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddpd %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" prefetcht0 384(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,2), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vmovddup 8(%3,%1,2), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddpd %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddpd %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddpd %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddpd %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddpd %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddpd %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddpd %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" prefetcht0 384(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,2), %%xmm0 \n\t" // read b
|
||||
" vmovddup 8(%3,%1,2), %%xmm1 \n\t"
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddpd %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddpd %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddpd %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddpd %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddpd %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddpd %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddpd %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
" vmovups 32(%4) , %%xmm2 \n\t"
|
||||
" vmovups 48(%4) , %%xmm3 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
" vmovups 32(%5) , %%xmm6 \n\t"
|
||||
" vmovups 48(%5) , %%xmm7 \n\t"
|
||||
|
||||
" vsubpd %%xmm8 , %%xmm0 , %%xmm8 \n\t"
|
||||
" vsubpd %%xmm9 , %%xmm1 , %%xmm9 \n\t"
|
||||
" vsubpd %%xmm10, %%xmm2 , %%xmm10 \n\t"
|
||||
" vsubpd %%xmm11, %%xmm3 , %%xmm11 \n\t"
|
||||
|
||||
" vsubpd %%xmm12, %%xmm4 , %%xmm12 \n\t"
|
||||
" vsubpd %%xmm13, %%xmm5 , %%xmm13 \n\t"
|
||||
" vsubpd %%xmm14, %%xmm6 , %%xmm14 \n\t"
|
||||
" vsubpd %%xmm15, %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
"3: \n\t" // i = 1
|
||||
|
||||
" vmovddup (%7), %%xmm1 \n\t" // read b
|
||||
" vmovddup 8(%7), %%xmm0 \n\t" // read bb
|
||||
|
||||
" vmulpd %%xmm12 , %%xmm0 , %%xmm12 \n\t" // aa * bb
|
||||
" vmulpd %%xmm13 , %%xmm0 , %%xmm13 \n\t" // aa * bb
|
||||
" vmulpd %%xmm14 , %%xmm0 , %%xmm14 \n\t" // aa * bb
|
||||
" vmulpd %%xmm15 , %%xmm0 , %%xmm15 \n\t" // aa * bb
|
||||
|
||||
" vmovups %%xmm12 , (%6) \n\t" // write a
|
||||
" vmovups %%xmm13 , 16(%6) \n\t" // write a
|
||||
" vmovups %%xmm14 , 32(%6) \n\t" // write a
|
||||
" vmovups %%xmm15 , 48(%6) \n\t" // write a
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t" // write c1
|
||||
" vmovups %%xmm13 , 16(%5) \n\t"
|
||||
" vmovups %%xmm14 , 32(%5) \n\t"
|
||||
" vmovups %%xmm15 , 48(%5) \n\t"
|
||||
|
||||
" vfnmaddpd %%xmm8 , %%xmm12 , %%xmm1 , %%xmm8 \n\t" // c = c - aa * b
|
||||
" vfnmaddpd %%xmm9 , %%xmm13 , %%xmm1 , %%xmm9 \n\t"
|
||||
" vfnmaddpd %%xmm10 , %%xmm14 , %%xmm1 , %%xmm10 \n\t"
|
||||
" vfnmaddpd %%xmm11 , %%xmm15 , %%xmm1 , %%xmm11 \n\t"
|
||||
|
||||
" \n\t" // i = 0
|
||||
" subq $16 , %7 \n\t" // b = b - 2
|
||||
" subq $64 , %6 \n\t" // a = a - 8
|
||||
|
||||
" vmovddup (%7), %%xmm0 \n\t" // read bb
|
||||
|
||||
" vmulpd %%xmm8 , %%xmm0 , %%xmm8 \n\t" // aa * bb
|
||||
" vmulpd %%xmm9 , %%xmm0 , %%xmm9 \n\t"
|
||||
" vmulpd %%xmm10 , %%xmm0 , %%xmm10 \n\t"
|
||||
" vmulpd %%xmm11 , %%xmm0 , %%xmm11 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%6) \n\t" // write a
|
||||
" vmovups %%xmm9 , 16(%6) \n\t"
|
||||
" vmovups %%xmm10 , 32(%6) \n\t"
|
||||
" vmovups %%xmm11 , 48(%6) \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t" // write c0
|
||||
" vmovups %%xmm9 , 16(%4) \n\t"
|
||||
" vmovups %%xmm10 , 32(%4) \n\t"
|
||||
" vmovups %%xmm11 , 48(%4) \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
a += (n - 1) * m;
|
||||
b += (n - 1) * n;
|
||||
|
||||
for (i = n - 1; i >= 0; i--) {
|
||||
|
||||
bb = *(b + i);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa = *(c + j + i * ldc);
|
||||
aa *= bb;
|
||||
*a = aa;
|
||||
*(c + j + i * ldc) = aa;
|
||||
a ++;
|
||||
|
||||
for (k = 0; k < i; k ++){
|
||||
*(c + j + k * ldc) -= aa * *(b + k);
|
||||
}
|
||||
|
||||
}
|
||||
b -= n;
|
||||
a -= 2 * m;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
#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 += (n - 1) * m * 2;
|
||||
b += (n - 1) * n * 2;
|
||||
|
||||
for (i = n - 1; i >= 0; i--) {
|
||||
|
||||
bb1 = *(b + i * 2 + 0);
|
||||
bb2 = *(b + i * 2 + 1);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
|
||||
aa1 = *(c + j * 2 + 0 + i * ldc);
|
||||
aa2 = *(c + j * 2 + 1 + i * 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
|
||||
|
||||
*(a + 0) = cc1;
|
||||
*(a + 1) = cc2;
|
||||
|
||||
*(c + j * 2 + 0 + i * ldc) = cc1;
|
||||
*(c + j * 2 + 1 + i * ldc) = cc2;
|
||||
a += 2;
|
||||
|
||||
for (k = 0; k < i; k ++){
|
||||
#ifndef CONJ
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#else
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= -cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#endif
|
||||
}
|
||||
|
||||
}
|
||||
b -= n * 2;
|
||||
a -= 4 * m;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
#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 RT KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
kk = n - offset;
|
||||
c += n * ldc * COMPSIZE;
|
||||
b += n * k * COMPSIZE;
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = 1;
|
||||
while (j < GEMM_UNROLL_N) {
|
||||
if (n & j) {
|
||||
|
||||
aa = a;
|
||||
b -= j * k * COMPSIZE;
|
||||
c -= j * ldc* COMPSIZE;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
if (i > 0) {
|
||||
|
||||
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 - j) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - j) * j * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
do {
|
||||
if (m & i) {
|
||||
|
||||
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 - j) * i * COMPSIZE,
|
||||
b + (kk - j) * j * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
|
||||
}
|
||||
i >>= 1;
|
||||
} while (i > 0);
|
||||
}
|
||||
kk -= j;
|
||||
}
|
||||
j <<= 1;
|
||||
}
|
||||
}
|
||||
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
|
||||
if (j > 0) {
|
||||
|
||||
do {
|
||||
aa = a;
|
||||
b -= GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c -= GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
if (i > 0) {
|
||||
do {
|
||||
|
||||
dtrsm_RT_solve_opt(k - kk, aa + GEMM_UNROLL_M * kk * COMPSIZE, b + GEMM_UNROLL_N * kk * COMPSIZE, cc, ldc,
|
||||
aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE , b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE );
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
do {
|
||||
if (m & i) {
|
||||
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 - GEMM_UNROLL_N) * i * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
kk -= GEMM_UNROLL_N;
|
||||
j --;
|
||||
} while (j > 0);
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
|
|
@ -0,0 +1,756 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_L
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
|
||||
|
||||
static void strsm_LN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void strsm_LN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc ;
|
||||
BLASLONG n1 = n * 8;
|
||||
BLASLONG i=0;
|
||||
|
||||
as += (16 - 1) * 16;
|
||||
bs += (16 - 1) * 2;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorps %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorps %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorps %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorps %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorps %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorps %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorps %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorps %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 2f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" vbroadcastss (%3,%1,1), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vbroadcastss 4(%3,%1,1), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddps %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddps %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddps %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddps %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddps %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddps %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddps %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddps %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
" vmovups 32(%4) , %%xmm2 \n\t"
|
||||
" vmovups 48(%4) , %%xmm3 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
" vmovups 32(%5) , %%xmm6 \n\t"
|
||||
" vmovups 48(%5) , %%xmm7 \n\t"
|
||||
|
||||
" vsubps %%xmm8 , %%xmm0 , %%xmm8 \n\t"
|
||||
" vsubps %%xmm9 , %%xmm1 , %%xmm9 \n\t"
|
||||
" vsubps %%xmm10, %%xmm2 , %%xmm10 \n\t"
|
||||
" vsubps %%xmm11, %%xmm3 , %%xmm11 \n\t"
|
||||
|
||||
" vsubps %%xmm12, %%xmm4 , %%xmm12 \n\t"
|
||||
" vsubps %%xmm13, %%xmm5 , %%xmm13 \n\t"
|
||||
" vsubps %%xmm14, %%xmm6 , %%xmm14 \n\t"
|
||||
" vsubps %%xmm15, %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vbroadcastss 60(%6) , %%xmm0 \n\t" // i=15, read aa[i]
|
||||
" vshufps $0xff , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0xff , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
|
||||
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
||||
" vmovss %%xmm1 , 60(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 60(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 56(%6) , %%xmm0 \n\t" // i=14, read aa[i]
|
||||
" vshufps $0xaa , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0xaa , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
|
||||
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
||||
" vmovss %%xmm1 , 56(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 56(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 52(%6) , %%xmm0 \n\t" // i=13, read aa[i]
|
||||
" vshufps $0x55 , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0x55 , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
|
||||
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
||||
" vmovss %%xmm1 , 52(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 52(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 48(%6) , %%xmm0 \n\t" // i=12, read aa[i]
|
||||
" vshufps $0x00 , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0x00 , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
|
||||
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
||||
" vmovss %%xmm1 , 48(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 48(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 44(%6) , %%xmm0 \n\t" // i=11, read aa[i]
|
||||
" vshufps $0xff , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0xff , %%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 , 44(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 44(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 40(%6) , %%xmm0 \n\t" // i=10, read aa[i]
|
||||
" vshufps $0xaa , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0xaa , %%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 , 40(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 40(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 36(%6) , %%xmm0 \n\t" // i=9 , read aa[i]
|
||||
" vshufps $0x55 , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0x55 , %%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 , 36(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 36(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 32(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%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 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 28(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%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 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 24(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%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 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 20(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%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 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 16(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 12(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 8(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 4(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm8 , %%xmm1 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfnmaddps %%xmm12 , %%xmm2 , %%xmm4 , %%xmm12 \n\t"
|
||||
|
||||
" subq $64 , %6 \n\t" // a -= m
|
||||
" subq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 0(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 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;
|
||||
}
|
||||
|
|
@ -0,0 +1,739 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_L
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
static void strsm_LT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void strsm_LT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc ;
|
||||
BLASLONG n1 = n * 8;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorps %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorps %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorps %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorps %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorps %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorps %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorps %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorps %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 2f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" vbroadcastss (%3,%1,1), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vbroadcastss 4(%3,%1,1), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddps %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddps %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddps %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddps %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddps %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddps %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddps %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddps %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
" vmovups 32(%4) , %%xmm2 \n\t"
|
||||
" vmovups 48(%4) , %%xmm3 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
" vmovups 32(%5) , %%xmm6 \n\t"
|
||||
" vmovups 48(%5) , %%xmm7 \n\t"
|
||||
|
||||
" vsubps %%xmm8 , %%xmm0 , %%xmm8 \n\t"
|
||||
" vsubps %%xmm9 , %%xmm1 , %%xmm9 \n\t"
|
||||
" vsubps %%xmm10, %%xmm2 , %%xmm10 \n\t"
|
||||
" vsubps %%xmm11, %%xmm3 , %%xmm11 \n\t"
|
||||
|
||||
" vsubps %%xmm12, %%xmm4 , %%xmm12 \n\t"
|
||||
" vsubps %%xmm13, %%xmm5 , %%xmm13 \n\t"
|
||||
" vsubps %%xmm14, %%xmm6 , %%xmm14 \n\t"
|
||||
" vsubps %%xmm15, %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vbroadcastss 0(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 4(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 8(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 0(%6) , %%xmm4 \n\t" // read a[k]
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \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"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 12(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 16(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 20(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 24(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 16(%6) , %%xmm5 \n\t" // read a[k]
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm9 , %%xmm1 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfnmaddps %%xmm13 , %%xmm2 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 28(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 32(%6) , %%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 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 36(%6) , %%xmm0 \n\t" // i=9, read aa[i]
|
||||
" vshufps $0x55 , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0x55 , %%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 , 36(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 36(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 40(%6) , %%xmm0 \n\t" // i=10, read aa[i]
|
||||
" vshufps $0xaa , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0xaa , %%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 , 40(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 40(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 32(%6) , %%xmm6 \n\t" // read a[k]
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm10 , %%xmm1 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm2 , %%xmm6 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 44(%6) , %%xmm0 \n\t" // i=11, read aa[i]
|
||||
" vshufps $0xff , %%xmm10 , %%xmm10 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0xff , %%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 , 44(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 44(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 48(%6) , %%xmm0 \n\t" // i=12, read aa[i]
|
||||
" vshufps $0x00 , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0x00 , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
|
||||
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
||||
" vmovss %%xmm1 , 48(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 48(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 52(%6) , %%xmm0 \n\t" // i=13, read aa[i]
|
||||
" vshufps $0x55 , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0x55 , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
|
||||
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
||||
" vmovss %%xmm1 , 52(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 52(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 56(%6) , %%xmm0 \n\t" // i=14, read aa[i]
|
||||
" vshufps $0xaa , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0xaa , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
|
||||
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
||||
" vmovss %%xmm1 , 56(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 56(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vmovups 48(%6) , %%xmm7 \n\t" // read a[k]
|
||||
" vfnmaddps %%xmm11 , %%xmm1 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm2 , %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
" addq $64 , %6 \n\t" // a -= m
|
||||
" addq $8 , %7 \n\t" // b -= n
|
||||
|
||||
" vbroadcastss 60(%6) , %%xmm0 \n\t" // i=15, read aa[i]
|
||||
" vshufps $0xff , %%xmm11 , %%xmm11 , %%xmm1 \n\t" // extract bb0
|
||||
" vshufps $0xff , %%xmm15 , %%xmm15 , %%xmm2 \n\t" // extract bb1
|
||||
" vmulps %%xmm0 , %%xmm1 , %%xmm1 \n\t" // bb0 * aa
|
||||
" vmulps %%xmm0 , %%xmm2 , %%xmm2 \n\t" // bb1 * aa
|
||||
" vmovss %%xmm1 , 60(%4) \n\t" // c[i] = bb0 * aa
|
||||
" vmovss %%xmm2 , 60(%5) \n\t" // c[i] = bb1 * aa
|
||||
" vmovss %%xmm1 , (%7) \n\t" // b[0] = bb0 * aa
|
||||
" vmovss %%xmm2 , 4(%7) \n\t" // b[1] = bb1 * aa
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
for (i = 0; i < m; 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 = i + 1; k < m; k ++){
|
||||
*(c + k + j * ldc) -= bb * *(a + k);
|
||||
}
|
||||
|
||||
}
|
||||
a += m;
|
||||
}
|
||||
}
|
||||
|
||||
#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;
|
||||
|
||||
for (i = 0; i < m; 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 = i + 1; k < m; 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;
|
||||
}
|
||||
}
|
||||
|
||||
#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){
|
||||
|
||||
FLOAT *aa, *cc;
|
||||
BLASLONG kk;
|
||||
BLASLONG i, j, jj;
|
||||
|
||||
#if 0
|
||||
fprintf(stderr, "TRSM KERNEL LT : m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
jj = 0;
|
||||
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
|
||||
while (j > 0) {
|
||||
|
||||
kk = offset;
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
|
||||
strsm_LT_solve_opt(kk , aa , b , cc, ldc, aa + kk * GEMM_UNROLL_M * COMPSIZE, b + kk * GEMM_UNROLL_N * COMPSIZE);
|
||||
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
kk += GEMM_UNROLL_M;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
solve(i, GEMM_UNROLL_N,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
kk += i;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c += GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
j --;
|
||||
jj += GEMM_UNROLL_M;
|
||||
}
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = (GEMM_UNROLL_N >> 1);
|
||||
while (j > 0) {
|
||||
if (n & j) {
|
||||
|
||||
kk = offset;
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, j,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
kk += GEMM_UNROLL_M;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(i, j,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
kk += i;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += j * k * COMPSIZE;
|
||||
c += j * ldc * COMPSIZE;
|
||||
}
|
||||
j >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
|
@ -0,0 +1,454 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_R
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
static void strsm_RN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void strsm_RN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc ;
|
||||
BLASLONG n1 = n * 8;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorps %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorps %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorps %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorps %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorps %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorps %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorps %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorps %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 2f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" vbroadcastss (%3,%1,1), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vbroadcastss 4(%3,%1,1), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddps %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddps %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddps %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddps %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddps %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddps %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddps %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddps %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
" vmovups 32(%4) , %%xmm2 \n\t"
|
||||
" vmovups 48(%4) , %%xmm3 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
" vmovups 32(%5) , %%xmm6 \n\t"
|
||||
" vmovups 48(%5) , %%xmm7 \n\t"
|
||||
|
||||
" vsubps %%xmm8 , %%xmm0 , %%xmm8 \n\t"
|
||||
" vsubps %%xmm9 , %%xmm1 , %%xmm9 \n\t"
|
||||
" vsubps %%xmm10, %%xmm2 , %%xmm10 \n\t"
|
||||
" vsubps %%xmm11, %%xmm3 , %%xmm11 \n\t"
|
||||
|
||||
" vsubps %%xmm12, %%xmm4 , %%xmm12 \n\t"
|
||||
" vsubps %%xmm13, %%xmm5 , %%xmm13 \n\t"
|
||||
" vsubps %%xmm14, %%xmm6 , %%xmm14 \n\t"
|
||||
" vsubps %%xmm15, %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
"3: \n\t" // i = 0
|
||||
|
||||
" vbroadcastss (%7), %%xmm0 \n\t" // read bb
|
||||
" vbroadcastss 4(%7), %%xmm1 \n\t" // read b
|
||||
|
||||
" vmulps %%xmm8 , %%xmm0 , %%xmm8 \n\t" // aa * bb
|
||||
" vmulps %%xmm9 , %%xmm0 , %%xmm9 \n\t"
|
||||
" vmulps %%xmm10 , %%xmm0 , %%xmm10 \n\t"
|
||||
" vmulps %%xmm11 , %%xmm0 , %%xmm11 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%6) \n\t" // write a
|
||||
" vmovups %%xmm9 , 16(%6) \n\t"
|
||||
" vmovups %%xmm10 , 32(%6) \n\t"
|
||||
" vmovups %%xmm11 , 48(%6) \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t" // write c0
|
||||
" vmovups %%xmm9 , 16(%4) \n\t"
|
||||
" vmovups %%xmm10 , 32(%4) \n\t"
|
||||
" vmovups %%xmm11 , 48(%4) \n\t"
|
||||
|
||||
" vfnmaddps %%xmm12 , %%xmm8 , %%xmm1 , %%xmm12 \n\t" // c = c - aa * b
|
||||
" vfnmaddps %%xmm13 , %%xmm9 , %%xmm1 , %%xmm13 \n\t"
|
||||
" vfnmaddps %%xmm14 , %%xmm10 , %%xmm1 , %%xmm14 \n\t"
|
||||
" vfnmaddps %%xmm15 , %%xmm11 , %%xmm1 , %%xmm15 \n\t"
|
||||
|
||||
" \n\t" // i = 1
|
||||
" addq $8 , %7 \n\t" // b = b + 2
|
||||
" addq $64 , %6 \n\t" // a = a + 16
|
||||
|
||||
" vbroadcastss 4(%7), %%xmm0 \n\t" // read bb
|
||||
|
||||
" vmulps %%xmm12 , %%xmm0 , %%xmm12 \n\t" // aa * bb
|
||||
" vmulps %%xmm13 , %%xmm0 , %%xmm13 \n\t" // aa * bb
|
||||
" vmulps %%xmm14 , %%xmm0 , %%xmm14 \n\t" // aa * bb
|
||||
" vmulps %%xmm15 , %%xmm0 , %%xmm15 \n\t" // aa * bb
|
||||
|
||||
" vmovups %%xmm12 , (%6) \n\t" // write a
|
||||
" vmovups %%xmm13 , 16(%6) \n\t" // write a
|
||||
" vmovups %%xmm14 , 32(%6) \n\t" // write a
|
||||
" vmovups %%xmm15 , 48(%6) \n\t" // write a
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t" // write c1
|
||||
" vmovups %%xmm13 , 16(%5) \n\t"
|
||||
" vmovups %%xmm14 , 32(%5) \n\t"
|
||||
" vmovups %%xmm15 , 48(%5) \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
for (i = 0; i < n; i++) {
|
||||
|
||||
bb = *(b + i);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa = *(c + j + i * ldc);
|
||||
aa *= bb;
|
||||
*a = aa;
|
||||
*(c + j + i * ldc) = aa;
|
||||
a ++;
|
||||
|
||||
for (k = i + 1; k < n; k ++){
|
||||
*(c + j + k * ldc) -= aa * *(b + k);
|
||||
}
|
||||
|
||||
}
|
||||
b += 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;
|
||||
|
||||
for (i = 0; i < n; i++) {
|
||||
|
||||
bb1 = *(b + i * 2 + 0);
|
||||
bb2 = *(b + i * 2 + 1);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa1 = *(c + j * 2 + 0 + i * ldc);
|
||||
aa2 = *(c + j * 2 + 1 + i * 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
|
||||
|
||||
*(a + 0) = cc1;
|
||||
*(a + 1) = cc2;
|
||||
*(c + j * 2 + 0 + i * ldc) = cc1;
|
||||
*(c + j * 2 + 1 + i * ldc) = cc2;
|
||||
a += 2;
|
||||
|
||||
for (k = i + 1; k < n; k ++){
|
||||
#ifndef CONJ
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#else
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= - cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#endif
|
||||
}
|
||||
|
||||
}
|
||||
b += n * 2;
|
||||
}
|
||||
}
|
||||
|
||||
#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){
|
||||
|
||||
FLOAT *aa, *cc;
|
||||
BLASLONG kk;
|
||||
BLASLONG i, j, jj;
|
||||
|
||||
#if 0
|
||||
fprintf(stderr, "TRSM RN KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
jj = 0;
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
kk = -offset;
|
||||
|
||||
while (j > 0) {
|
||||
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
if (i > 0) {
|
||||
do {
|
||||
|
||||
strsm_RN_solve_opt(kk, aa, b, cc, ldc, aa + kk * GEMM_UNROLL_M * COMPSIZE, b + kk * GEMM_UNROLL_N * COMPSIZE);
|
||||
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
solve(i, GEMM_UNROLL_N,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
kk += GEMM_UNROLL_N;
|
||||
b += GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c += GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
j --;
|
||||
jj += GEMM_UNROLL_M;
|
||||
}
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = (GEMM_UNROLL_N >> 1);
|
||||
while (j > 0) {
|
||||
if (n & j) {
|
||||
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, j,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(i, j,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += j * k * COMPSIZE;
|
||||
c += j * ldc * COMPSIZE;
|
||||
kk += j;
|
||||
}
|
||||
j >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
|
@ -0,0 +1,481 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_R
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
static void strsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void strsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc ;
|
||||
BLASLONG n1 = n * 8;
|
||||
BLASLONG i=0;
|
||||
|
||||
as += (2 - 1) * 16;
|
||||
bs += (2 - 1) * 2;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorps %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorps %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorps %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorps %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorps %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorps %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorps %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorps %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 2f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" vbroadcastss (%3,%1,1), %%xmm0 \n\t" // read b
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t"
|
||||
" vbroadcastss 4(%3,%1,1), %%xmm1 \n\t"
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t"
|
||||
" vmovups 32(%2,%1,8), %%xmm6 \n\t"
|
||||
" vmovups 48(%2,%1,8), %%xmm7 \n\t"
|
||||
|
||||
" vfmaddps %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t"
|
||||
" vfmaddps %%xmm12, %%xmm1 , %%xmm4 , %%xmm12 \n\t"
|
||||
" vfmaddps %%xmm9 , %%xmm0 , %%xmm5 , %%xmm9 \n\t"
|
||||
" vfmaddps %%xmm13, %%xmm1 , %%xmm5 , %%xmm13 \n\t"
|
||||
" vfmaddps %%xmm10, %%xmm0 , %%xmm6 , %%xmm10 \n\t"
|
||||
" vfmaddps %%xmm14, %%xmm1 , %%xmm6 , %%xmm14 \n\t"
|
||||
" addq $8, %1 \n\t"
|
||||
" vfmaddps %%xmm11, %%xmm0 , %%xmm7 , %%xmm11 \n\t"
|
||||
" vfmaddps %%xmm15, %%xmm1 , %%xmm7 , %%xmm15 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
" vmovups 32(%4) , %%xmm2 \n\t"
|
||||
" vmovups 48(%4) , %%xmm3 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
" vmovups 32(%5) , %%xmm6 \n\t"
|
||||
" vmovups 48(%5) , %%xmm7 \n\t"
|
||||
|
||||
" vsubps %%xmm8 , %%xmm0 , %%xmm8 \n\t"
|
||||
" vsubps %%xmm9 , %%xmm1 , %%xmm9 \n\t"
|
||||
" vsubps %%xmm10, %%xmm2 , %%xmm10 \n\t"
|
||||
" vsubps %%xmm11, %%xmm3 , %%xmm11 \n\t"
|
||||
|
||||
" vsubps %%xmm12, %%xmm4 , %%xmm12 \n\t"
|
||||
" vsubps %%xmm13, %%xmm5 , %%xmm13 \n\t"
|
||||
" vsubps %%xmm14, %%xmm6 , %%xmm14 \n\t"
|
||||
" vsubps %%xmm15, %%xmm7 , %%xmm15 \n\t"
|
||||
|
||||
"3: \n\t" // i = 1
|
||||
|
||||
" vbroadcastss (%7), %%xmm1 \n\t" // read b
|
||||
" vbroadcastss 4(%7), %%xmm0 \n\t" // read bb
|
||||
|
||||
" vmulps %%xmm12 , %%xmm0 , %%xmm12 \n\t" // aa * bb
|
||||
" vmulps %%xmm13 , %%xmm0 , %%xmm13 \n\t" // aa * bb
|
||||
" vmulps %%xmm14 , %%xmm0 , %%xmm14 \n\t" // aa * bb
|
||||
" vmulps %%xmm15 , %%xmm0 , %%xmm15 \n\t" // aa * bb
|
||||
|
||||
" vmovups %%xmm12 , (%6) \n\t" // write a
|
||||
" vmovups %%xmm13 , 16(%6) \n\t" // write a
|
||||
" vmovups %%xmm14 , 32(%6) \n\t" // write a
|
||||
" vmovups %%xmm15 , 48(%6) \n\t" // write a
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t" // write c1
|
||||
" vmovups %%xmm13 , 16(%5) \n\t"
|
||||
" vmovups %%xmm14 , 32(%5) \n\t"
|
||||
" vmovups %%xmm15 , 48(%5) \n\t"
|
||||
|
||||
" vfnmaddps %%xmm8 , %%xmm12 , %%xmm1 , %%xmm8 \n\t" // c = c - aa * b
|
||||
" vfnmaddps %%xmm9 , %%xmm13 , %%xmm1 , %%xmm9 \n\t"
|
||||
" vfnmaddps %%xmm10 , %%xmm14 , %%xmm1 , %%xmm10 \n\t"
|
||||
" vfnmaddps %%xmm11 , %%xmm15 , %%xmm1 , %%xmm11 \n\t"
|
||||
|
||||
" \n\t" // i = 0
|
||||
" subq $8 , %7 \n\t" // b = b - 2
|
||||
" subq $64 , %6 \n\t" // a = a - 16
|
||||
|
||||
" vbroadcastss (%7), %%xmm0 \n\t" // read bb
|
||||
|
||||
" vmulps %%xmm8 , %%xmm0 , %%xmm8 \n\t" // aa * bb
|
||||
" vmulps %%xmm9 , %%xmm0 , %%xmm9 \n\t"
|
||||
" vmulps %%xmm10 , %%xmm0 , %%xmm10 \n\t"
|
||||
" vmulps %%xmm11 , %%xmm0 , %%xmm11 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%6) \n\t" // write a
|
||||
" vmovups %%xmm9 , 16(%6) \n\t"
|
||||
" vmovups %%xmm10 , 32(%6) \n\t"
|
||||
" vmovups %%xmm11 , 48(%6) \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t" // write c0
|
||||
" vmovups %%xmm9 , 16(%4) \n\t"
|
||||
" vmovups %%xmm10 , 32(%4) \n\t"
|
||||
" vmovups %%xmm11 , 48(%4) \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
a += (n - 1) * m;
|
||||
b += (n - 1) * n;
|
||||
|
||||
for (i = n - 1; i >= 0; i--) {
|
||||
|
||||
bb = *(b + i);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa = *(c + j + i * ldc);
|
||||
aa *= bb;
|
||||
*a = aa;
|
||||
*(c + j + i * ldc) = aa;
|
||||
a ++;
|
||||
|
||||
for (k = 0; k < i; k ++){
|
||||
*(c + j + k * ldc) -= aa * *(b + k);
|
||||
}
|
||||
|
||||
}
|
||||
b -= n;
|
||||
a -= 2 * m;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
#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 += (n - 1) * m * 2;
|
||||
b += (n - 1) * n * 2;
|
||||
|
||||
for (i = n - 1; i >= 0; i--) {
|
||||
|
||||
bb1 = *(b + i * 2 + 0);
|
||||
bb2 = *(b + i * 2 + 1);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
|
||||
aa1 = *(c + j * 2 + 0 + i * ldc);
|
||||
aa2 = *(c + j * 2 + 1 + i * 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
|
||||
|
||||
*(a + 0) = cc1;
|
||||
*(a + 1) = cc2;
|
||||
|
||||
*(c + j * 2 + 0 + i * ldc) = cc1;
|
||||
*(c + j * 2 + 1 + i * ldc) = cc2;
|
||||
a += 2;
|
||||
|
||||
for (k = 0; k < i; k ++){
|
||||
#ifndef CONJ
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#else
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= -cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#endif
|
||||
}
|
||||
|
||||
}
|
||||
b -= n * 2;
|
||||
a -= 4 * m;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
#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 RT KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
kk = n - offset;
|
||||
c += n * ldc * COMPSIZE;
|
||||
b += n * k * COMPSIZE;
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = 1;
|
||||
while (j < GEMM_UNROLL_N) {
|
||||
if (n & j) {
|
||||
|
||||
aa = a;
|
||||
b -= j * k * COMPSIZE;
|
||||
c -= j * ldc* COMPSIZE;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
if (i > 0) {
|
||||
|
||||
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 - j) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - j) * j * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
do {
|
||||
if (m & i) {
|
||||
|
||||
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 - j) * i * COMPSIZE,
|
||||
b + (kk - j) * j * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
|
||||
}
|
||||
i >>= 1;
|
||||
} while (i > 0);
|
||||
}
|
||||
kk -= j;
|
||||
}
|
||||
j <<= 1;
|
||||
}
|
||||
}
|
||||
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
|
||||
if (j > 0) {
|
||||
|
||||
do {
|
||||
aa = a;
|
||||
b -= GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c -= GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
if (i > 0) {
|
||||
do {
|
||||
|
||||
strsm_RT_solve_opt(k - kk, aa + GEMM_UNROLL_M * kk * COMPSIZE, b + GEMM_UNROLL_N * kk * COMPSIZE, cc, ldc,
|
||||
aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE , b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE );
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
do {
|
||||
if (m & i) {
|
||||
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 - GEMM_UNROLL_N) * i * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
kk -= GEMM_UNROLL_N;
|
||||
j --;
|
||||
} while (j > 0);
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
|
|
@ -0,0 +1,497 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_L
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
static void ztrsm_LN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void ztrsm_LN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc*2 ;
|
||||
BLASLONG n1 = n * 4;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorpd %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorpd %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorpd %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorpd %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorpd %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorpd %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorpd %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorpd %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 3f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" prefetcht0 256(%3,%1,8) \n\t"
|
||||
" prefetcht0 256(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,8), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vmovddup 8(%3,%1,8), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
" vmovddup 16(%3,%1,8), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vmovddup 24(%3,%1,8), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vfnmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" vmovddup (%3,%1,8), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vmovddup 8(%3,%1,8), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
" vmovddup 16(%3,%1,8), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vmovddup 24(%3,%1,8), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vfnmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
" vshufpd $0x01 , %%xmm9 , %%xmm9, %%xmm9 \n\t"
|
||||
" vshufpd $0x01 , %%xmm11 , %%xmm11 , %%xmm11 \n\t"
|
||||
" vshufpd $0x01 , %%xmm13 , %%xmm13 , %%xmm13 \n\t"
|
||||
" vshufpd $0x01 , %%xmm15 , %%xmm15 , %%xmm15 \n\t"
|
||||
|
||||
" vaddsubpd %%xmm8 , %%xmm9 , %%xmm8 \n\t"
|
||||
" vaddsubpd %%xmm10, %%xmm11, %%xmm10 \n\t"
|
||||
" vaddsubpd %%xmm12, %%xmm13, %%xmm12 \n\t"
|
||||
" vaddsubpd %%xmm14, %%xmm15, %%xmm14 \n\t"
|
||||
|
||||
" vxorpd %%xmm7 , %%xmm7 , %%xmm7 \n\t"
|
||||
|
||||
" vaddsubpd %%xmm8 , %%xmm7 , %%xmm8 \n\t"
|
||||
" vaddsubpd %%xmm10, %%xmm7 , %%xmm10 \n\t"
|
||||
" vaddsubpd %%xmm12, %%xmm7 , %%xmm12 \n\t"
|
||||
" vaddsubpd %%xmm14, %%xmm7 , %%xmm14 \n\t"
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
|
||||
" vaddpd %%xmm0 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vaddpd %%xmm1 , %%xmm10, %%xmm10 \n\t"
|
||||
" vaddpd %%xmm4 , %%xmm12, %%xmm12 \n\t"
|
||||
" vaddpd %%xmm5 , %%xmm14, %%xmm14 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t"
|
||||
" vmovups %%xmm10 ,16(%4) \n\t"
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t"
|
||||
" vmovups %%xmm14 ,16(%5) \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
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 {
|
||||
|
||||
#ifdef CONJ
|
||||
if (k - kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, k - kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa + GEMM_UNROLL_M * kk * COMPSIZE,
|
||||
b + GEMM_UNROLL_N * kk * COMPSIZE,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#else
|
||||
|
||||
ztrsm_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);
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#endif
|
||||
|
||||
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;
|
||||
}
|
||||
|
|
@ -0,0 +1,480 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_L
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
static void ztrsm_LT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void ztrsm_LT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc*2 ;
|
||||
BLASLONG n1 = n * 4;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorpd %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorpd %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorpd %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorpd %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorpd %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorpd %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorpd %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorpd %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 3f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" prefetcht0 256(%3,%1,8) \n\t"
|
||||
" prefetcht0 256(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,8), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vmovddup 8(%3,%1,8), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
" vmovddup 16(%3,%1,8), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vmovddup 24(%3,%1,8), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vfnmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" vmovddup (%3,%1,8), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vmovddup 8(%3,%1,8), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
" vmovddup 16(%3,%1,8), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vmovddup 24(%3,%1,8), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vfnmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
" vshufpd $0x01 , %%xmm9 , %%xmm9, %%xmm9 \n\t"
|
||||
" vshufpd $0x01 , %%xmm11 , %%xmm11 , %%xmm11 \n\t"
|
||||
" vshufpd $0x01 , %%xmm13 , %%xmm13 , %%xmm13 \n\t"
|
||||
" vshufpd $0x01 , %%xmm15 , %%xmm15 , %%xmm15 \n\t"
|
||||
|
||||
" vaddsubpd %%xmm8 , %%xmm9 , %%xmm8 \n\t"
|
||||
" vaddsubpd %%xmm10, %%xmm11, %%xmm10 \n\t"
|
||||
" vaddsubpd %%xmm12, %%xmm13, %%xmm12 \n\t"
|
||||
" vaddsubpd %%xmm14, %%xmm15, %%xmm14 \n\t"
|
||||
|
||||
" vxorpd %%xmm7 , %%xmm7 , %%xmm7 \n\t"
|
||||
|
||||
" vaddsubpd %%xmm8 , %%xmm7 , %%xmm8 \n\t"
|
||||
" vaddsubpd %%xmm10, %%xmm7 , %%xmm10 \n\t"
|
||||
" vaddsubpd %%xmm12, %%xmm7 , %%xmm12 \n\t"
|
||||
" vaddsubpd %%xmm14, %%xmm7 , %%xmm14 \n\t"
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
|
||||
" vaddpd %%xmm0 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vaddpd %%xmm1 , %%xmm10, %%xmm10 \n\t"
|
||||
" vaddpd %%xmm4 , %%xmm12, %%xmm12 \n\t"
|
||||
" vaddpd %%xmm5 , %%xmm14, %%xmm14 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t"
|
||||
" vmovups %%xmm10 ,16(%4) \n\t"
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t"
|
||||
" vmovups %%xmm14 ,16(%5) \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
for (i = 0; i < m; 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 = i + 1; k < m; k ++){
|
||||
*(c + k + j * ldc) -= bb * *(a + k);
|
||||
}
|
||||
|
||||
}
|
||||
a += m;
|
||||
}
|
||||
}
|
||||
|
||||
#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;
|
||||
|
||||
for (i = 0; i < m; 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 = i + 1; k < m; 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;
|
||||
}
|
||||
}
|
||||
|
||||
#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){
|
||||
|
||||
FLOAT *aa, *cc;
|
||||
BLASLONG kk;
|
||||
BLASLONG i, j, jj;
|
||||
|
||||
#if 0
|
||||
fprintf(stderr, "TRSM KERNEL LT : m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
jj = 0;
|
||||
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
|
||||
while (j > 0) {
|
||||
|
||||
kk = offset;
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
|
||||
#ifdef CONJ
|
||||
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#else
|
||||
|
||||
ztrsm_LT_solve_opt(kk, aa, b, cc, ldc, aa + kk * GEMM_UNROLL_M * COMPSIZE, b + kk * GEMM_UNROLL_N * COMPSIZE);
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#endif
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
kk += GEMM_UNROLL_M;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
solve(i, GEMM_UNROLL_N,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
kk += i;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c += GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
j --;
|
||||
jj += GEMM_UNROLL_M;
|
||||
}
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = (GEMM_UNROLL_N >> 1);
|
||||
while (j > 0) {
|
||||
if (n & j) {
|
||||
|
||||
kk = offset;
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, j,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
kk += GEMM_UNROLL_M;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(i, j,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
kk += i;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += j * k * COMPSIZE;
|
||||
c += j * ldc * COMPSIZE;
|
||||
}
|
||||
j >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
|
@ -0,0 +1,476 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_R
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
static void ztrsm_RN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void ztrsm_RN_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc*2 ;
|
||||
BLASLONG n1 = n * 4;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorpd %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorpd %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorpd %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorpd %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorpd %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorpd %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorpd %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorpd %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 3f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" prefetcht0 256(%3,%1,8) \n\t"
|
||||
" prefetcht0 256(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,8), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vmovddup 8(%3,%1,8), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
" vmovddup 16(%3,%1,8), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vmovddup 24(%3,%1,8), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vfnmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" vmovddup (%3,%1,8), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vmovddup 8(%3,%1,8), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
" vmovddup 16(%3,%1,8), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vmovddup 24(%3,%1,8), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vfnmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
" vshufpd $0x01 , %%xmm9 , %%xmm9, %%xmm9 \n\t"
|
||||
" vshufpd $0x01 , %%xmm11 , %%xmm11 , %%xmm11 \n\t"
|
||||
" vshufpd $0x01 , %%xmm13 , %%xmm13 , %%xmm13 \n\t"
|
||||
" vshufpd $0x01 , %%xmm15 , %%xmm15 , %%xmm15 \n\t"
|
||||
|
||||
" vaddsubpd %%xmm8 , %%xmm9 , %%xmm8 \n\t"
|
||||
" vaddsubpd %%xmm10, %%xmm11, %%xmm10 \n\t"
|
||||
" vaddsubpd %%xmm12, %%xmm13, %%xmm12 \n\t"
|
||||
" vaddsubpd %%xmm14, %%xmm15, %%xmm14 \n\t"
|
||||
|
||||
" vxorpd %%xmm7 , %%xmm7 , %%xmm7 \n\t"
|
||||
|
||||
" vaddsubpd %%xmm8 , %%xmm7 , %%xmm8 \n\t"
|
||||
" vaddsubpd %%xmm10, %%xmm7 , %%xmm10 \n\t"
|
||||
" vaddsubpd %%xmm12, %%xmm7 , %%xmm12 \n\t"
|
||||
" vaddsubpd %%xmm14, %%xmm7 , %%xmm14 \n\t"
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
|
||||
" vaddpd %%xmm0 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vaddpd %%xmm1 , %%xmm10, %%xmm10 \n\t"
|
||||
" vaddpd %%xmm4 , %%xmm12, %%xmm12 \n\t"
|
||||
" vaddpd %%xmm5 , %%xmm14, %%xmm14 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t"
|
||||
" vmovups %%xmm10 ,16(%4) \n\t"
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t"
|
||||
" vmovups %%xmm14 ,16(%5) \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
for (i = 0; i < n; i++) {
|
||||
|
||||
bb = *(b + i);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa = *(c + j + i * ldc);
|
||||
aa *= bb;
|
||||
*a = aa;
|
||||
*(c + j + i * ldc) = aa;
|
||||
a ++;
|
||||
|
||||
for (k = i + 1; k < n; k ++){
|
||||
*(c + j + k * ldc) -= aa * *(b + k);
|
||||
}
|
||||
|
||||
}
|
||||
b += 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;
|
||||
|
||||
for (i = 0; i < n; i++) {
|
||||
|
||||
bb1 = *(b + i * 2 + 0);
|
||||
bb2 = *(b + i * 2 + 1);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa1 = *(c + j * 2 + 0 + i * ldc);
|
||||
aa2 = *(c + j * 2 + 1 + i * 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
|
||||
|
||||
*(a + 0) = cc1;
|
||||
*(a + 1) = cc2;
|
||||
*(c + j * 2 + 0 + i * ldc) = cc1;
|
||||
*(c + j * 2 + 1 + i * ldc) = cc2;
|
||||
a += 2;
|
||||
|
||||
for (k = i + 1; k < n; k ++){
|
||||
#ifndef CONJ
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#else
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= - cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#endif
|
||||
}
|
||||
|
||||
}
|
||||
b += n * 2;
|
||||
}
|
||||
}
|
||||
|
||||
#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){
|
||||
|
||||
FLOAT *aa, *cc;
|
||||
BLASLONG kk;
|
||||
BLASLONG i, j, jj;
|
||||
|
||||
#if 0
|
||||
fprintf(stderr, "TRSM RN KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
jj = 0;
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
kk = -offset;
|
||||
|
||||
while (j > 0) {
|
||||
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
if (i > 0) {
|
||||
do {
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
ztrsm_RN_solve_opt(kk, aa, b, cc, ldc, aa + kk * GEMM_UNROLL_M * COMPSIZE, b + kk * GEMM_UNROLL_N * COMPSIZE);
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#else
|
||||
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
#endif
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa, b, cc, ldc);
|
||||
}
|
||||
solve(i, GEMM_UNROLL_N,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
kk += GEMM_UNROLL_N;
|
||||
b += GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c += GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
j --;
|
||||
jj += GEMM_UNROLL_M;
|
||||
}
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = (GEMM_UNROLL_N >> 1);
|
||||
while (j > 0) {
|
||||
if (n & j) {
|
||||
|
||||
aa = a;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
|
||||
while (i > 0) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, j,
|
||||
aa + kk * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
while (i > 0) {
|
||||
if (m & i) {
|
||||
if (kk > 0) {
|
||||
GEMM_KERNEL(i, j, kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa,
|
||||
b,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(i, j,
|
||||
aa + kk * i * COMPSIZE,
|
||||
b + kk * j * COMPSIZE, cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
b += j * k * COMPSIZE;
|
||||
c += j * ldc * COMPSIZE;
|
||||
kk += j;
|
||||
}
|
||||
j >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
|
@ -0,0 +1,506 @@
|
|||
/*********************************************************************/
|
||||
/* Copyright 2009, 2010 The University of Texas at Austin. */
|
||||
/* All rights reserved. */
|
||||
/* */
|
||||
/* Redistribution and use in source and binary forms, with or */
|
||||
/* without modification, are permitted provided that the following */
|
||||
/* conditions are met: */
|
||||
/* */
|
||||
/* 1. Redistributions of source code must retain the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer. */
|
||||
/* */
|
||||
/* 2. Redistributions in binary form must reproduce the above */
|
||||
/* copyright notice, this list of conditions and the following */
|
||||
/* disclaimer in the documentation and/or other materials */
|
||||
/* provided with the distribution. */
|
||||
/* */
|
||||
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
||||
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
||||
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
||||
/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
|
||||
/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
|
||||
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
|
||||
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
|
||||
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
|
||||
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
|
||||
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
|
||||
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
|
||||
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
|
||||
/* POSSIBILITY OF SUCH DAMAGE. */
|
||||
/* */
|
||||
/* The views and conclusions contained in the software and */
|
||||
/* documentation are those of the authors and should not be */
|
||||
/* interpreted as representing official policies, either expressed */
|
||||
/* or implied, of The University of Texas at Austin. */
|
||||
/*********************************************************************/
|
||||
|
||||
#include "common.h"
|
||||
|
||||
static FLOAT dm1 = -1.;
|
||||
|
||||
#ifdef CONJ
|
||||
#define GEMM_KERNEL GEMM_KERNEL_R
|
||||
#else
|
||||
#define GEMM_KERNEL GEMM_KERNEL_N
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 1
|
||||
#define GEMM_UNROLL_M_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 2
|
||||
#define GEMM_UNROLL_M_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 4
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 6
|
||||
#define GEMM_UNROLL_M_SHIFT 2
|
||||
#endif
|
||||
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 8
|
||||
#define GEMM_UNROLL_M_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_M == 16
|
||||
#define GEMM_UNROLL_M_SHIFT 4
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 1
|
||||
#define GEMM_UNROLL_N_SHIFT 0
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 2
|
||||
#define GEMM_UNROLL_N_SHIFT 1
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 4
|
||||
#define GEMM_UNROLL_N_SHIFT 2
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 8
|
||||
#define GEMM_UNROLL_N_SHIFT 3
|
||||
#endif
|
||||
|
||||
#if GEMM_DEFAULT_UNROLL_N == 16
|
||||
#define GEMM_UNROLL_N_SHIFT 4
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
static void ztrsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs) __attribute__ ((noinline));
|
||||
|
||||
static void ztrsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
|
||||
{
|
||||
|
||||
FLOAT *c1 = c + ldc*2 ;
|
||||
BLASLONG n1 = n * 4;
|
||||
BLASLONG i=0;
|
||||
|
||||
__asm__ __volatile__
|
||||
(
|
||||
" vzeroupper \n\t"
|
||||
" prefetcht0 (%4) \n\t"
|
||||
" prefetcht0 (%5) \n\t"
|
||||
" vxorpd %%xmm8 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vxorpd %%xmm9 , %%xmm9 , %%xmm9 \n\t"
|
||||
" vxorpd %%xmm10, %%xmm10, %%xmm10 \n\t"
|
||||
" vxorpd %%xmm11, %%xmm11, %%xmm11 \n\t"
|
||||
" vxorpd %%xmm12, %%xmm12, %%xmm12 \n\t"
|
||||
" vxorpd %%xmm13, %%xmm13, %%xmm13 \n\t"
|
||||
" vxorpd %%xmm14, %%xmm14, %%xmm14 \n\t"
|
||||
" vxorpd %%xmm15, %%xmm15, %%xmm15 \n\t"
|
||||
|
||||
" cmpq $0, %0 \n\t"
|
||||
" je 3f \n\t"
|
||||
|
||||
" .align 16 \n\t"
|
||||
"1: \n\t"
|
||||
|
||||
" prefetcht0 256(%3,%1,8) \n\t"
|
||||
" prefetcht0 256(%2,%1,8) \n\t"
|
||||
" vmovddup (%3,%1,8), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vmovddup 8(%3,%1,8), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
" vmovddup 16(%3,%1,8), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vmovddup 24(%3,%1,8), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vfnmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jz 2f \n\t"
|
||||
|
||||
" vmovddup (%3,%1,8), %%xmm0 \n\t" // b0 real, b0 real
|
||||
" vmovddup 8(%3,%1,8), %%xmm1 \n\t" // b0 imag, b0 imag
|
||||
" vmovups (%2,%1,8), %%xmm4 \n\t" // a0 real , a0 imag
|
||||
" vmovups 16(%2,%1,8), %%xmm5 \n\t" // a1 real , a1 imag
|
||||
" vmovddup 16(%3,%1,8), %%xmm2 \n\t" // b1 real, b1 real
|
||||
" vmovddup 24(%3,%1,8), %%xmm3 \n\t" // b1 imag, b1 imag
|
||||
|
||||
" vfnmaddpd %%xmm8 , %%xmm0 , %%xmm4 , %%xmm8 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm9 , %%xmm1 , %%xmm4 , %%xmm9 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm10, %%xmm0 , %%xmm5 , %%xmm10 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm11, %%xmm1 , %%xmm5 , %%xmm11 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm12, %%xmm2 , %%xmm4 , %%xmm12 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm13, %%xmm3 , %%xmm4 , %%xmm13 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" vfnmaddpd %%xmm14, %%xmm2 , %%xmm5 , %%xmm14 \n\t" // a_real * b_real , a_imag * b_real
|
||||
" vfnmaddpd %%xmm15, %%xmm3 , %%xmm5 , %%xmm15 \n\t" // a_real * b_imag , a_imag * b_imag
|
||||
|
||||
" addq $4, %1 \n\t"
|
||||
" cmpq %1, %0 \n\t"
|
||||
|
||||
" jnz 1b \n\t"
|
||||
|
||||
|
||||
"2: \n\t"
|
||||
|
||||
" vshufpd $0x01 , %%xmm9 , %%xmm9, %%xmm9 \n\t"
|
||||
" vshufpd $0x01 , %%xmm11 , %%xmm11 , %%xmm11 \n\t"
|
||||
" vshufpd $0x01 , %%xmm13 , %%xmm13 , %%xmm13 \n\t"
|
||||
" vshufpd $0x01 , %%xmm15 , %%xmm15 , %%xmm15 \n\t"
|
||||
|
||||
" vaddsubpd %%xmm8 , %%xmm9 , %%xmm8 \n\t"
|
||||
" vaddsubpd %%xmm10, %%xmm11, %%xmm10 \n\t"
|
||||
" vaddsubpd %%xmm12, %%xmm13, %%xmm12 \n\t"
|
||||
" vaddsubpd %%xmm14, %%xmm15, %%xmm14 \n\t"
|
||||
|
||||
" vxorpd %%xmm7 , %%xmm7 , %%xmm7 \n\t"
|
||||
|
||||
" vaddsubpd %%xmm8 , %%xmm7 , %%xmm8 \n\t"
|
||||
" vaddsubpd %%xmm10, %%xmm7 , %%xmm10 \n\t"
|
||||
" vaddsubpd %%xmm12, %%xmm7 , %%xmm12 \n\t"
|
||||
" vaddsubpd %%xmm14, %%xmm7 , %%xmm14 \n\t"
|
||||
|
||||
" vmovups (%4) , %%xmm0 \n\t"
|
||||
" vmovups 16(%4) , %%xmm1 \n\t"
|
||||
|
||||
" vmovups (%5) , %%xmm4 \n\t"
|
||||
" vmovups 16(%5) , %%xmm5 \n\t"
|
||||
|
||||
" vaddpd %%xmm0 , %%xmm8 , %%xmm8 \n\t"
|
||||
" vaddpd %%xmm1 , %%xmm10, %%xmm10 \n\t"
|
||||
" vaddpd %%xmm4 , %%xmm12, %%xmm12 \n\t"
|
||||
" vaddpd %%xmm5 , %%xmm14, %%xmm14 \n\t"
|
||||
|
||||
" vmovups %%xmm8 , (%4) \n\t"
|
||||
" vmovups %%xmm10 ,16(%4) \n\t"
|
||||
|
||||
" vmovups %%xmm12 , (%5) \n\t"
|
||||
" vmovups %%xmm14 ,16(%5) \n\t"
|
||||
|
||||
"3: \n\t"
|
||||
|
||||
" vzeroupper \n\t"
|
||||
|
||||
:
|
||||
:
|
||||
"r" (n1), // 0
|
||||
"a" (i), // 1
|
||||
"r" (a), // 2
|
||||
"r" (b), // 3
|
||||
"r" (c), // 4
|
||||
"r" (c1), // 5
|
||||
"r" (as), // 6
|
||||
"r" (bs) // 7
|
||||
: "cc",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3",
|
||||
"%xmm4", "%xmm5", "%xmm6", "%xmm7",
|
||||
"%xmm8", "%xmm9", "%xmm10", "%xmm11",
|
||||
"%xmm12", "%xmm13", "%xmm14", "%xmm15",
|
||||
"memory"
|
||||
);
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
|
||||
#ifndef COMPLEX
|
||||
|
||||
static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
|
||||
|
||||
FLOAT aa, bb;
|
||||
|
||||
int i, j, k;
|
||||
|
||||
a += (n - 1) * m;
|
||||
b += (n - 1) * n;
|
||||
|
||||
for (i = n - 1; i >= 0; i--) {
|
||||
|
||||
bb = *(b + i);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
aa = *(c + j + i * ldc);
|
||||
aa *= bb;
|
||||
*a = aa;
|
||||
*(c + j + i * ldc) = aa;
|
||||
a ++;
|
||||
|
||||
for (k = 0; k < i; k ++){
|
||||
*(c + j + k * ldc) -= aa * *(b + k);
|
||||
}
|
||||
|
||||
}
|
||||
b -= n;
|
||||
a -= 2 * m;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
#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 += (n - 1) * m * 2;
|
||||
b += (n - 1) * n * 2;
|
||||
|
||||
for (i = n - 1; i >= 0; i--) {
|
||||
|
||||
bb1 = *(b + i * 2 + 0);
|
||||
bb2 = *(b + i * 2 + 1);
|
||||
|
||||
for (j = 0; j < m; j ++) {
|
||||
|
||||
aa1 = *(c + j * 2 + 0 + i * ldc);
|
||||
aa2 = *(c + j * 2 + 1 + i * 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
|
||||
|
||||
*(a + 0) = cc1;
|
||||
*(a + 1) = cc2;
|
||||
|
||||
*(c + j * 2 + 0 + i * ldc) = cc1;
|
||||
*(c + j * 2 + 1 + i * ldc) = cc2;
|
||||
a += 2;
|
||||
|
||||
for (k = 0; k < i; k ++){
|
||||
#ifndef CONJ
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#else
|
||||
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
|
||||
*(c + j * 2 + 1 + k * ldc) -= -cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
||||
#endif
|
||||
}
|
||||
|
||||
}
|
||||
b -= n * 2;
|
||||
a -= 4 * m;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
#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 RT KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
||||
m, n, k, offset);
|
||||
#endif
|
||||
|
||||
kk = n - offset;
|
||||
c += n * ldc * COMPSIZE;
|
||||
b += n * k * COMPSIZE;
|
||||
|
||||
if (n & (GEMM_UNROLL_N - 1)) {
|
||||
|
||||
j = 1;
|
||||
while (j < GEMM_UNROLL_N) {
|
||||
if (n & j) {
|
||||
|
||||
aa = a;
|
||||
b -= j * k * COMPSIZE;
|
||||
c -= j * ldc* COMPSIZE;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
if (i > 0) {
|
||||
|
||||
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 - j) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - j) * j * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
do {
|
||||
if (m & i) {
|
||||
|
||||
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 - j) * i * COMPSIZE,
|
||||
b + (kk - j) * j * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
|
||||
}
|
||||
i >>= 1;
|
||||
} while (i > 0);
|
||||
}
|
||||
kk -= j;
|
||||
}
|
||||
j <<= 1;
|
||||
}
|
||||
}
|
||||
|
||||
j = (n >> GEMM_UNROLL_N_SHIFT);
|
||||
|
||||
if (j > 0) {
|
||||
|
||||
do {
|
||||
aa = a;
|
||||
b -= GEMM_UNROLL_N * k * COMPSIZE;
|
||||
c -= GEMM_UNROLL_N * ldc * COMPSIZE;
|
||||
cc = c;
|
||||
|
||||
i = (m >> GEMM_UNROLL_M_SHIFT);
|
||||
if (i > 0) {
|
||||
do {
|
||||
|
||||
#ifndef CONJ
|
||||
|
||||
ztrsm_RT_solve_opt(k-kk, aa + GEMM_UNROLL_M * kk * COMPSIZE, b + GEMM_UNROLL_N * kk * COMPSIZE, cc, ldc,
|
||||
aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE, b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE);
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
#else
|
||||
if (k - kk > 0) {
|
||||
GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, k - kk, dm1,
|
||||
#ifdef COMPLEX
|
||||
ZERO,
|
||||
#endif
|
||||
aa + GEMM_UNROLL_M * kk * COMPSIZE,
|
||||
b + GEMM_UNROLL_N * kk * COMPSIZE,
|
||||
cc,
|
||||
ldc);
|
||||
}
|
||||
|
||||
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
||||
aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
#endif
|
||||
|
||||
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
||||
cc += GEMM_UNROLL_M * COMPSIZE;
|
||||
i --;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
if (m & (GEMM_UNROLL_M - 1)) {
|
||||
i = (GEMM_UNROLL_M >> 1);
|
||||
do {
|
||||
if (m & i) {
|
||||
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 - GEMM_UNROLL_N) * i * COMPSIZE,
|
||||
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
||||
cc, ldc);
|
||||
|
||||
aa += i * k * COMPSIZE;
|
||||
cc += i * COMPSIZE;
|
||||
}
|
||||
i >>= 1;
|
||||
} while (i > 0);
|
||||
}
|
||||
|
||||
kk -= GEMM_UNROLL_N;
|
||||
j --;
|
||||
} while (j > 0);
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
Loading…
Reference in New Issue