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_SPMV_TCC
 34 #define CXXBLAS_LEVEL2_SPMV_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 spmv_generic(StorageOrder order, StorageUpLo upLo,
 45              IndexType n,
 46              const ALPHA &alpha,
 47              const MA *A,
 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, iX=0; i<n; ++i, iX+=incX, iY+=incY) {
 58             VY _y = VY(0);
 59             dot_generic(n-i, A+i*(2*n-i+1)/2, IndexType(1),
 60                              x+iX, incX, _y);
 61             y[iY] += alpha*_y;
 62             axpy_generic(n-i-1, alpha*x[iX], A+i*(2*n-i+1)/2+1, IndexType(1),
 63                                              y+iY+incY, incY);
 64         }
 65     } else {
 66         for (IndexType i=0, iY=0, iX=0; i<n; ++i, iX+=incX, iY+=incY) {
 67             VY _y = VY(0);
 68             dot_generic(i, A+i*(i+1)/2, IndexType(1), x, incX, _y);
 69             y[iY] += alpha*_y;
 70             axpy_generic(i+1, alpha*x[iX], A+i*(i+1)/2, IndexType(1),
 71                                            y, incY);
 72         }
 73     }
 74 }
 75 
 76 //------------------------------------------------------------------------------
 77 
 78 template <typename IndexType, typename ALPHA, typename MA, typename VX,
 79           typename BETA, typename VY>
 80 void
 81 spmv(StorageOrder order, StorageUpLo upLo,
 82      IndexType n,
 83      const ALPHA &alpha,
 84      const MA *A,
 85      const VX *x, IndexType incX,
 86      const BETA &beta,
 87      VY *y, IndexType incY)
 88 {
 89     CXXBLAS_DEBUG_OUT("spmv_generic");
 90 
 91     if (incX<0) {
 92         x -= incX*(n-1);
 93     }
 94     if (incY<0) {
 95         y -= incY*(n-1);
 96     }
 97     spmv_generic(order, upLo, n, alpha, A, x, incX, beta, y, incY);
 98 }
 99 
100 // namespace cxxblas
101 
102 #endif // CXXBLAS_LEVEL2_SPMV_TCC