1 /*
  2  *   Copyright (c) 2010, Michael Lehn
  3  *
  4  *   All rights reserved.
  5  *
  6  *   Redistribution and use in source and binary forms, with or without
  7  *   modification, are permitted provided that the following conditions
  8  *   are met:
  9  *
 10  *   1) Redistributions of source code must retain the above copyright
 11  *      notice, this list of conditions and the following disclaimer.
 12  *   2) Redistributions in binary form must reproduce the above copyright
 13  *      notice, this list of conditions and the following disclaimer in
 14  *      the documentation and/or other materials provided with the
 15  *      distribution.
 16  *   3) Neither the name of the FLENS development group nor the names of
 17  *      its contributors may be used to endorse or promote products derived
 18  *      from this software without specific prior written permission.
 19  *
 20  *   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 21  *   "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 22  *   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
 23  *   A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
 24  *   OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
 25  *   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
 26  *   LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
 27  *   DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
 28  *   THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 29  *   (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
 30  *   OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 31  */
 32 
 33 #ifndef CXXBLAS_LEVEL2_SYMV_TCC
 34 #define CXXBLAS_LEVEL2_SYMV_TCC 1
 35 
 36 #include <complex>
 37 #include <cxxblas/level1/level1.h>
 38 
 39 namespace cxxblas {
 40 
 41 template <typename IndexType, typename ALPHA, typename MA, typename VX,
 42           typename BETA, typename VY>
 43 void
 44 symv_generic(StorageOrder order, StorageUpLo upLo,
 45              IndexType n,
 46              const ALPHA &alpha,
 47              const MA *A, IndexType ldA,
 48              const VX *x, IndexType incX,
 49              const BETA &beta,
 50              VY *y, IndexType incY)
 51 {
 52     if (order==ColMajor) {
 53         upLo = (upLo==Upper) ? Lower : Upper;
 54     }
 55     scal_generic(n, beta, y, incY);
 56     if (upLo==Upper) {
 57         for (IndexType i=0, iY=0; i<n; ++i, iY+=incY) {
 58             VY _y = VY(0);
 59             dotu_generic(n-i, A+i*ldA+i, IndexType(1), x+i*incX, incX, _y);
 60             y[iY] += alpha*_y;
 61         }
 62         for (IndexType i=0, iY=0; i<n; ++i, iY+=incY) {
 63             VY _y = VY(0);
 64             dotu_generic(i, A+i, ldA, x, incX, _y);
 65             y[iY] += alpha*_y;
 66         }
 67     } else {
 68         for (IndexType i=0, iY=0; i<n; ++i, iY+=incY) {
 69             VY _y = VY(0);
 70             dotu_generic(i, A+i*ldA, IndexType(1), x, incX, _y);
 71             y[iY] += alpha*_y;
 72         }
 73         for (IndexType i=0, iY=0; i<n; ++i, iY+=incY) {
 74             VY _y = VY(0);
 75             dotu_generic(n-i, A+i*ldA+i, ldA, x+i*incX, incX, _y);
 76             y[iY] += alpha*_y;
 77         }
 78     }
 79 }
 80 
 81 //------------------------------------------------------------------------------
 82 
 83 template <typename IndexType, typename ALPHA, typename MA, typename VX,
 84           typename BETA, typename VY>
 85 void
 86 symv(StorageOrder order, StorageUpLo upLo,
 87      IndexType n,
 88      const ALPHA &alpha,
 89      const MA *A, IndexType ldA,
 90      const VX *x, IndexType incX,
 91      const BETA &beta,
 92      VY *y, IndexType incY)
 93 {
 94     CXXBLAS_DEBUG_OUT("symv_generic");
 95 
 96     if (incX<0) {
 97         x -= incX*(n-1);
 98     }
 99     if (incY<0) {
100         y -= incY*(n-1);
101     }
102     symv_generic(order, upLo, n, alpha, A, ldA, x, incX, beta, y, incY);
103 }
104 
105 #ifdef HAVE_CBLAS
106 
107 // ssymv
108 template <typename IndexType>
109 typename If<IndexType>::isBlasCompatibleInteger
110 symv(StorageOrder order, StorageUpLo upLo,
111      IndexType n, float alpha,
112      const float *A, IndexType ldA,
113      const float *x, IndexType incX,
114      float beta,
115      float *y, IndexType incY)
116 {
117     CXXBLAS_DEBUG_OUT("[" BLAS_IMPL "] cblas_ssymv");
118 
119     cblas_ssymv(CBLAS::getCblasType(order), CBLAS::getCblasType(upLo),
120                 n, alpha,
121                 A, ldA,
122                 x, incX,
123                 beta,
124                 y, incY);
125 }
126 
127 // dsymv
128 template <typename IndexType>
129 typename If<IndexType>::isBlasCompatibleInteger
130 symv(StorageOrder order, StorageUpLo upLo,
131      IndexType n, double alpha,
132      const double *A, IndexType ldA,
133      const double *x, IndexType incX,
134      double beta,
135      double *y, IndexType incY)
136 {
137     CXXBLAS_DEBUG_OUT("[" BLAS_IMPL "] cblas_dsymv");
138 
139     cblas_dsymv(CBLAS::getCblasType(order), CBLAS::getCblasType(upLo),
140                 n, alpha,
141                 A, ldA,
142                 x, incX,
143                 beta,
144                 y, incY);
145 }
146 
147 #endif // HAVE_CBLAS
148 
149 // namespace cxxblas
150 
151 #endif // CXXBLAS_LEVEL2_SYMV_TCC