cxxblas/level2/hpmv.tcc

/*
 *   Copyright (c) 2010, Michael Lehn
 *
 *   All rights reserved.
 *
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 *   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.
 *   3) Neither the name of the FLENS development group nor the names of
 *      its contributors may be used to endorse or promote products derived
 *      from this software without specific prior written permission.
 *
 *   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 *   "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 *   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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 *   OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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 *   LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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 */

#ifndef CXXBLAS_LEVEL2_HPMV_TCC
#define CXXBLAS_LEVEL2_HPMV_TCC 1

#include <complex>
#include "xflens/cxxblas/cxxblas.h"

namespace cxxblas {

template <typename IndexType, typename ALPHA, typename MA, typename VX,
          typename BETA, typename VY>
void
hpmv_generic(StorageOrder order, StorageUpLo upLo, Transpose conjugateA,
             IndexType n,
             const ALPHA &alpha,
             const MA *A,
             const VX *x, IndexType incX,
             const BETA &beta,
             VY *y, IndexType incY)
{
    if (order==ColMajor) {
        upLo = (upLo==Upper) ? Lower : Upper;
        conjugateA = Transpose(conjugateA^Conj);
    }
    scal_init_generic(n, beta, y, incY);
    if (upLo==Upper) {
        if (conjugateA==Conj) {
            for (IndexType i=0, iY=0, iX=0; i<n; ++i, iX+=incX, iY+=incY) {
                y[iY] += alpha*cxxblas::real(A[i*(2*n-i+1)/2]) * x[iX];

                VY y_ = VY(0);
                dot_generic(n-i-1, A+i*(2*n-i+1)/2+1, IndexType(1),
                                   x+iX+incX, incX, y_);
                y[iY] += alpha*y_;
                axpy_generic(n-i-1, alpha*x[iX],
                                    A+i*(2*n-i+1)/2+1, IndexType(1),
                                    y+iY+incY, incY);
            }
        } else {
            for (IndexType i=0, iY=0, iX=0; i<n; ++i, iX+=incX, iY+=incY) {
                y[iY] += alpha*cxxblas::real(A[i*(2*n-i+1)/2]) * x[iX];

                VY y_ = VY(0);
                dotu_generic(n-i-1, A+i*(2*n-i+1)/2+1, IndexType(1),
                                    x+iX+incX, incX, y_);
                y[iY] += alpha*y_;
                acxpy_generic(n-i-1, alpha*x[iX],
                                     A+i*(2*n-i+1)/2+1, IndexType(1),
                                     y+iY+incY, incY);
            }
        }
    } else {
        if (conjugateA==Conj) {
            for (IndexType i=0, iY=0, iX=0; i<n; ++i, iX+=incX, iY+=incY) {
                y[iY] += alpha*cxxblas::real(A[i+i*(i+1)/2]) * x[iX];

                VY y_ = VY(0);
                dot_generic(i, A+i*(i+1)/2, IndexType(1), x, incX, y_);
                y[iY] += alpha*y_;
                axpy_generic(i, alpha*x[iX],
                                A+i*(i+1)/2, IndexType(1),
                                y, incY);
            }
        } else {
            for (IndexType i=0, iY=0, iX=0; i<n; ++i, iX+=incX, iY+=incY) {
                y[iY] += alpha*cxxblas::real(A[i+i*(i+1)/2]) * x[iX];

                VY y_ = VY(0);
                dotu_generic(i, A+i*(i+1)/2, IndexType(1), x, incX, y_);
                y[iY] += alpha*y_;
                acxpy_generic(i, alpha*x[iX],
                                 A+i*(i+1)/2, IndexType(1),
                                 y, incY);
            }
        }
    }
}

//------------------------------------------------------------------------------

template <typename IndexType, typename ALPHA, typename MA, typename VX,
          typename BETA, typename VY>
void
hpmv(StorageOrder order, StorageUpLo upLo,
     IndexType n,
     const ALPHA &alpha,
     const MA *A,
     const VX *x, IndexType incX,
     const BETA &beta,
     VY *y, IndexType incY)
{
    CXXBLAS_DEBUG_OUT("hpmv_generic");

    if (incX<0) {
        x -= incX*(n-1);
    }
    if (incY<0) {
        y -= incY*(n-1);
    }
    hpmv_generic(order, upLo, NoTrans, n, alpha, A, x, incX, beta, y, incY);
}


#ifdef HAVE_CBLAS

// chpmv
template <typename IndexType>
typename If<IndexType>::isBlasCompatibleInteger
hpmv(StorageOrder order, StorageUpLo upLo,
     IndexType n,
     const ComplexFloat &alpha,
     const ComplexFloat *A,
     const ComplexFloat *x, IndexType incX,
     const ComplexFloat &beta,
     ComplexFloat *y, IndexType incY)
{
    CXXBLAS_DEBUG_OUT("[" BLAS_IMPL "] cblas_chpmv");

    cblas_chpmv(CBLAS::getCblasType(order), CBLAS::getCblasType(upLo), n,
                reinterpret_cast<const float *>(&alpha),
                reinterpret_cast<const float *>(A),
                reinterpret_cast<const float *>(x), incX,
                reinterpret_cast<const float *>(&beta),
                reinterpret_cast<float *>(y), incY);
}

// zhpmv
template <typename IndexType>
typename If<IndexType>::isBlasCompatibleInteger
hpmv(StorageOrder order, StorageUpLo upLo,
     IndexType n,
     const ComplexDouble &alpha,
     const ComplexDouble *A,
     const ComplexDouble *x, IndexType incX,
     const ComplexDouble &beta,
     ComplexDouble *y, IndexType incY)
{
    CXXBLAS_DEBUG_OUT("[" BLAS_IMPL "] cblas_zhpmv");

    cblas_zhpmv(CBLAS::getCblasType(order), CBLAS::getCblasType(upLo), n,
                reinterpret_cast<const double *>(&alpha),
                reinterpret_cast<const double *>(A),
                reinterpret_cast<const double *>(x), incX,
                reinterpret_cast<const double *>(&beta),
                reinterpret_cast<double *>(y), incY);
}

#endif // HAVE_CBLAS


} // namespace cxxblas

#endif // CXXBLAS_LEVEL2_HPMV_TCC