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/*
* Copyright (c) 2007, Michael Lehn * * All rights reserved. * * Redistribution and use in source and binary forms, with or without * 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 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #ifndef FLENS_BLAS_OPERATORS_OPMULT_H #define FLENS_BLAS_OPERATORS_OPMULT_H 1 #include <flens/auxiliary/isconvertible.h> #include <flens/auxiliary/restrictto.h> #include <flens/matrixtypes/matrixtypes.h> #include <flens/scalartypes/scalartypes.h> #include <flens/vectortypes/vectortypes.h> #include <flens/blas/operators/opconj.h> #include <flens/blas/operators/opconjtrans.h> #include <flens/blas/operators/optrans.h> namespace flens { struct OpMult {}; //-- vector-vector products ---------------------------------------------------- // x^T*y template <typename VX, typename VY> typename Promotion<typename VX::Impl::ElementType, typename VY::Impl::ElementType>::Type operator*(const Vector<VX> &x, const Vector<VY> &y); // x^T*y template <typename VX, typename VY> typename Promotion<typename VX::Impl::ElementType, typename VY::Impl::ElementType>::Type operator*(const VectorClosureOpTrans<VX> &x, const Vector<VY> &y); // x^H*y template <typename VX, typename VY> typename Promotion<typename VX::Impl::ElementType, typename VY::Impl::ElementType>::Type operator*(const VectorClosureOpConj<VX> &x, const Vector<VY> &y); // x^H*y template <typename VX, typename VY> typename Promotion<typename VX::Impl::ElementType, typename VY::Impl::ElementType>::Type operator*(const VectorClosureOpConjTrans<VX> &x, const Vector<VY> &y); // A = x*y^T template <typename VX, typename VY> const MatrixClosure<OpMult, typename VX::Impl, VectorClosureOpTrans<VY> > operator*(const Vector<VX> &x, const VectorClosureOpTrans<VY> &y); // A = x*y^H template <typename VX, typename VY> const MatrixClosure<OpMult, typename VX::Impl, VectorClosureOpConjTrans<VY> > operator*(const Vector<VX> &x, const VectorClosureOpConjTrans<VY> &y); //-- scalar-vector products ---------------------------------------------------- // alpha*x template <typename ALPHA, typename V> const typename RestrictTo<!IsMatrix<ALPHA>::value && !IsVector<ALPHA>::value, VectorClosure<OpMult, ScalarValue<ALPHA>, typename V::Impl> >::Type operator*(const ALPHA &alpha, const Vector<V> &x); // x*alpha template <typename ALPHA, typename V> const typename RestrictTo<!IsMatrix<ALPHA>::value && !IsVector<ALPHA>::value, VectorClosure<OpMult, ScalarValue<ALPHA>, typename V::Impl> >::Type operator*(const Vector<V> &x, const ALPHA &alpha); //-- scalar-matrix products ---------------------------------------------------- // alpha*A template <typename ALPHA, typename M> const typename RestrictTo<!IsMatrix<ALPHA>::value && !IsVector<ALPHA>::value, MatrixClosure<OpMult, ScalarValue<ALPHA>, typename M::Impl> >::Type operator*(const ALPHA &alpha, const Matrix<M> &A); // A*alpha template <typename ALPHA, typename M> const typename RestrictTo<!IsMatrix<ALPHA>::value && !IsVector<ALPHA>::value, MatrixClosure<OpMult, ScalarValue<ALPHA>, typename M::Impl> >::Type operator*(const Matrix<M> &A, const ALPHA &alpha); //-- matrix-vector products ---------------------------------------------------- // A*x template <typename M, typename V> const VectorClosure<OpMult, typename M::Impl, typename V::Impl> operator*(const Matrix<M> &A, const Vector<V> &x); // x*A template <typename M, typename V> const VectorClosure<OpMult, typename V::Impl, typename M::Impl> operator*(const Vector<V> &x, const Matrix<M> &A); //-- matrix-matrix products ---------------------------------------------------- // A*B template <typename MA, typename MB> const MatrixClosure<OpMult, typename MA::Impl, typename MB::Impl> operator*(const Matrix<MA> &A, const Matrix<MB> &B); } // namespace flens #endif // FLENS_BLAS_OPERATORS_OPMULT_H |