443 lines
11 KiB
C
443 lines
11 KiB
C
/*********************************************************************/
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/* Copyright 2009, 2010 The University of Texas at Austin. */
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/* All rights reserved. */
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/* */
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/* Redistribution and use in source and binary forms, with or */
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/* without modification, are permitted provided that the following */
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/* conditions are met: */
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/* */
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/* 1. Redistributions of source code must retain the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer. */
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/* */
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/* 2. Redistributions in binary form must reproduce the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer in the documentation and/or other materials */
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/* provided with the distribution. */
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/* */
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/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
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/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
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/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
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/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
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/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
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/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
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/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
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/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
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/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
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/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
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/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
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/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
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/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
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/* POSSIBILITY OF SUCH DAMAGE. */
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/* */
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/* The views and conclusions contained in the software and */
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/* documentation are those of the authors and should not be */
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/* interpreted as representing official policies, either expressed */
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/* or implied, of The University of Texas at Austin. */
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/*********************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include "common.h"
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#include "symcopy.h"
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#ifndef COMPLEX
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#ifndef TRANSA
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#define MYGEMV GEMV_N
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#undef TRANS
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#else
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#define MYGEMV GEMV_T
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#define TRANS
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#endif
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#define MYDOT DOTU_K
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#define MYAXPY AXPYU_K
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#else
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#if TRANSA == 1
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#define MYGEMV GEMV_N
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#undef TRANS
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#define MYDOT DOTU_K
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#define MYAXPY AXPYU_K
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#elif TRANSA == 2
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#define MYGEMV GEMV_T
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#define TRANS
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#define MYDOT DOTU_K
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#define MYAXPY AXPYU_K
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#elif TRANSA == 3
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#define MYGEMV GEMV_R
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#undef TRANS
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#define MYDOT DOTC_K
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#define MYAXPY AXPYC_K
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#else
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#define MYGEMV GEMV_C
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#define TRANS
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#define MYDOT DOTC_K
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#define MYAXPY AXPYC_K
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#endif
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#endif
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static int trmv_kernel(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *dummy1, FLOAT *buffer, BLASLONG pos){
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FLOAT *a, *x, *y;
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BLASLONG lda, incx;
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BLASLONG m_from, m_to;
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BLASLONG i, is, min_i;
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#ifdef TRANS
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#ifndef COMPLEX
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FLOAT result;
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#else
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OPENBLAS_COMPLEX_FLOAT result;
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#endif
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#endif
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#if defined(COMPLEX) && !defined(UNIT)
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FLOAT ar, ai, xr, xi;
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#endif
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a = (FLOAT *)args -> a;
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x = (FLOAT *)args -> b;
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y = (FLOAT *)args -> c;
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lda = args -> lda;
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incx = args -> ldb;
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m_from = 0;
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m_to = args -> m;
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if (range_m) {
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m_from = *(range_m + 0);
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m_to = *(range_m + 1);
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}
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if (incx != 1) {
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#ifndef LOWER
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COPY_K(m_to, x, incx, buffer, 1);
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#else
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COPY_K(args -> m - m_from, x + m_from * incx * COMPSIZE, incx, buffer + m_from * COMPSIZE, 1);
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#endif
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x = buffer;
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buffer += ((COMPSIZE * args -> m + 3) & ~3);
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}
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#ifndef TRANS
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if (range_n) y += *range_n * COMPSIZE;
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#ifndef LOWER
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SCAL_K(m_to, 0, 0, ZERO,
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#ifdef COMPLEX
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ZERO,
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#endif
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y, 1, NULL, 0, NULL, 0);
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#else
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SCAL_K(args -> m - m_from, 0, 0, ZERO,
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#ifdef COMPLEX
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ZERO,
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#endif
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y + m_from * COMPSIZE, 1, NULL, 0, NULL, 0);
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#endif
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#else
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SCAL_K(m_to - m_from, 0, 0, ZERO,
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#ifdef COMPLEX
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ZERO,
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#endif
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y + m_from * COMPSIZE, 1, NULL, 0, NULL, 0);
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#endif
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for (is = m_from; is < m_to; is += DTB_ENTRIES){
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min_i = MIN(m_to - is, DTB_ENTRIES);
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#ifndef LOWER
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if (is > 0){
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MYGEMV(is, min_i, 0,
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ONE,
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#ifdef COMPLEX
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ZERO,
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#endif
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a + is * lda * COMPSIZE, lda,
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#ifndef TRANS
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x + is * COMPSIZE, 1,
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y, 1,
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#else
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x, 1,
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y + is * COMPSIZE, 1,
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#endif
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buffer);
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}
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#endif
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for (i = is; i < is + min_i; i++) {
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#ifndef LOWER
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if (i - is > 0) {
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#ifndef TRANS
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MYAXPY(i - is, 0, 0,
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*(x + i * COMPSIZE + 0),
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#ifdef COMPLEX
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*(x + i * COMPSIZE + 1),
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#endif
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a + (is + i * lda) * COMPSIZE, 1, y + is * COMPSIZE, 1, NULL, 0);
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#else
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result = MYDOT(i - is, a + (is + i * lda) * COMPSIZE, 1, x + is * COMPSIZE, 1);
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#ifndef COMPLEX
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*(y + i * COMPSIZE + 0) += result;
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#else
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*(y + i * COMPSIZE + 0) += CREAL(result);
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*(y + i * COMPSIZE + 1) += CIMAG(result);
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#endif
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#endif
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}
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#endif
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#ifndef COMPLEX
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#ifdef UNIT
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*(y + i * COMPSIZE) += *(x + i * COMPSIZE);
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#else
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*(y + i * COMPSIZE) += *(a + (i + i * lda) * COMPSIZE) * *(x + i * COMPSIZE);
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#endif
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#else
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#ifdef UNIT
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*(y + i * COMPSIZE + 0) += *(x + i * COMPSIZE + 0);
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*(y + i * COMPSIZE + 1) += *(x + i * COMPSIZE + 1);
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#else
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ar = *(a + (i + i * lda) * COMPSIZE + 0);
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ai = *(a + (i + i * lda) * COMPSIZE + 1);
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xr = *(x + i * COMPSIZE + 0);
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xi = *(x + i * COMPSIZE + 1);
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#if (TRANSA == 1) || (TRANSA == 2)
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*(y + i * COMPSIZE + 0) += ar * xr - ai * xi;
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*(y + i * COMPSIZE + 1) += ar * xi + ai * xr;
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#else
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*(y + i * COMPSIZE + 0) += ar * xr + ai * xi;
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*(y + i * COMPSIZE + 1) += ar * xi - ai * xr;
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#endif
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#endif
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#endif
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#ifdef LOWER
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if (is + min_i > i + 1) {
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#ifndef TRANS
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MYAXPY(is + min_i - i - 1, 0, 0,
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*(x + i * COMPSIZE + 0),
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#ifdef COMPLEX
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*(x + i * COMPSIZE + 1),
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#endif
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a + (i + 1 + i * lda) * COMPSIZE, 1, y + (i + 1) * COMPSIZE, 1, NULL, 0);
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#else
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result = MYDOT(is + min_i - i - 1, a + (i + 1 + i * lda) * COMPSIZE, 1, x + (i + 1) * COMPSIZE, 1);
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#ifndef COMPLEX
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*(y + i * COMPSIZE + 0) += result;
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#else
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*(y + i * COMPSIZE + 0) += CREAL(result);
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*(y + i * COMPSIZE + 1) += CIMAG(result);
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#endif
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#endif
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}
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#endif
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}
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#ifdef LOWER
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if (args -> m > is + min_i){
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MYGEMV(args -> m - is - min_i, min_i, 0,
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ONE,
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#ifdef COMPLEX
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ZERO,
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#endif
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a + (is + min_i + is * lda) * COMPSIZE, lda,
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#ifndef TRANS
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x + is * COMPSIZE, 1,
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y + (is + min_i) * COMPSIZE, 1,
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#else
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x + (is + min_i) * COMPSIZE, 1,
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y + is * COMPSIZE, 1,
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#endif
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buffer);
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}
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#endif
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}
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return 0;
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}
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#ifndef COMPLEX
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int CNAME(BLASLONG m, FLOAT *a, BLASLONG lda, FLOAT *x, BLASLONG incx, FLOAT *buffer, int nthreads){
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#else
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int CNAME(BLASLONG m, FLOAT *a, BLASLONG lda, FLOAT *x, BLASLONG incx, FLOAT *buffer, int nthreads){
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#endif
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blas_arg_t args;
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blas_queue_t queue[MAX_CPU_NUMBER];
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BLASLONG range_m[MAX_CPU_NUMBER + 1];
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BLASLONG range_n[MAX_CPU_NUMBER + 1];
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BLASLONG width, i, num_cpu;
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double dnum;
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int mask = 7;
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#ifdef SMP
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#ifndef COMPLEX
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#ifdef XDOUBLE
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int mode = BLAS_XDOUBLE | BLAS_REAL;
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#elif defined(DOUBLE)
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int mode = BLAS_DOUBLE | BLAS_REAL;
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#else
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int mode = BLAS_SINGLE | BLAS_REAL;
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#endif
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#else
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#ifdef XDOUBLE
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int mode = BLAS_XDOUBLE | BLAS_COMPLEX;
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#elif defined(DOUBLE)
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int mode = BLAS_DOUBLE | BLAS_COMPLEX;
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#else
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int mode = BLAS_SINGLE | BLAS_COMPLEX;
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#endif
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#endif
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#endif
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args.m = m;
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args.a = (void *)a;
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args.b = (void *)x;
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args.c = (void *)(buffer);
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args.lda = lda;
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args.ldb = incx;
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args.ldc = incx;
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dnum = (double)m * (double)m / (double)nthreads;
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num_cpu = 0;
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#ifndef LOWER
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range_m[MAX_CPU_NUMBER] = m;
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i = 0;
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while (i < m){
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if (nthreads - num_cpu > 1) {
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double di = (double)(m - i);
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if (di * di - dnum > 0) {
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width = ((BLASLONG)(-sqrt(di * di - dnum) + di) + mask) & ~mask;
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} else {
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width = m - i;
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}
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if (width < 16) width = 16;
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if (width > m - i) width = m - i;
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} else {
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width = m - i;
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}
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range_m[MAX_CPU_NUMBER - num_cpu - 1] = range_m[MAX_CPU_NUMBER - num_cpu] - width;
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range_n[num_cpu] = num_cpu * (((m + 15) & ~15) + 16);
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if (range_n[num_cpu] > m * num_cpu) range_n[num_cpu] = m * num_cpu;
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queue[num_cpu].mode = mode;
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queue[num_cpu].routine = trmv_kernel;
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queue[num_cpu].args = &args;
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queue[num_cpu].range_m = &range_m[MAX_CPU_NUMBER - num_cpu - 1];
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queue[num_cpu].range_n = &range_n[num_cpu];
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queue[num_cpu].sa = NULL;
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queue[num_cpu].sb = NULL;
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queue[num_cpu].next = &queue[num_cpu + 1];
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num_cpu ++;
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i += width;
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}
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#else
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range_m[0] = 0;
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i = 0;
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while (i < m){
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if (nthreads - num_cpu > 1) {
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double di = (double)(m - i);
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if (di * di - dnum > 0) {
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width = ((BLASLONG)(-sqrt(di * di - dnum) + di) + mask) & ~mask;
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} else {
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width = m - i;
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}
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if (width < 16) width = 16;
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if (width > m - i) width = m - i;
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} else {
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width = m - i;
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}
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range_m[num_cpu + 1] = range_m[num_cpu] + width;
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range_n[num_cpu] = num_cpu * (((m + 15) & ~15) + 16);
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if (range_n[num_cpu] > m * num_cpu) range_n[num_cpu] = m * num_cpu;
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queue[num_cpu].mode = mode;
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queue[num_cpu].routine = trmv_kernel;
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queue[num_cpu].args = &args;
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queue[num_cpu].range_m = &range_m[num_cpu];
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queue[num_cpu].range_n = &range_n[num_cpu];
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queue[num_cpu].sa = NULL;
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queue[num_cpu].sb = NULL;
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queue[num_cpu].next = &queue[num_cpu + 1];
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num_cpu ++;
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i += width;
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}
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#endif
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if (num_cpu) {
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queue[0].sa = NULL;
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queue[0].sb = buffer + num_cpu * (((m + 3) & ~3) + 16) * COMPSIZE;
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queue[num_cpu - 1].next = NULL;
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exec_blas(num_cpu, queue);
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}
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#ifndef TRANS
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for (i = 1; i < num_cpu; i ++) {
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#ifndef LOWER
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AXPYU_K(range_m[MAX_CPU_NUMBER - i], 0, 0, ONE,
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#ifdef COMPLEX
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ZERO,
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#endif
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buffer + range_n[i] * COMPSIZE, 1, buffer, 1, NULL, 0);
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#else
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AXPYU_K(m - range_m[i], 0, 0, ONE,
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#ifdef COMPLEX
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ZERO,
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#endif
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buffer + (range_n[i] + range_m[i]) * COMPSIZE, 1, buffer + range_m[i] * COMPSIZE, 1, NULL, 0);
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#endif
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}
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#endif
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COPY_K(m, buffer, 1, x, incx);
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return 0;
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}
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