Blame thirdparty/openblas/xianyi-OpenBLAS-e6e87a2/driver/level2/trmv_thread.c

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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 <stdio.h></stdio.h>
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#include <stdlib.h></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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  FLOAT _Complex 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 + 1023) & ~1023);
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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];
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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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    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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    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 + 255) & ~255) + 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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}