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/*
* Copyright 2008-2009 NVIDIA Corporation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
/*
* Modifications to this file:
* Copyright (c) 2014-2015, The University of Queensland
* Licensed under the Apache License, Version 2.0.
*
*/
/*! \file multiply.h
* \brief Matrix multiplication
*/
#pragma once
#include <cusp/detail/config.h>
namespace cusp
{
/*! \addtogroup algorithms Algorithms
* \ingroup algorithms
* \{
*/
/*! \p multiply : Implements matrix-matrix and matrix-vector multiplication
*
* \p multiply can be used with dense matrices, sparse matrices, and user-defined
* \p linear_operator objects.
*
* \param A input matrix
* \param B input matrix or vector
* \param C output matrix or vector
*
* \tparam LinearOperator matrix
* \tparam MatrixOrVector1 matrix or vector
* \tparam MatrixOrVector2 matrix or vector
*
* The following code snippet demonstrates how to use \p multiply to
* compute a matrix-vector product.
*
* \code
* #include <cusp/multiply.h>
* #include <cusp/array2d.h>
* #include <cusp/print.h>
*
* int main(void)
* {
* // initialize matrix
* cusp::array2d<float, cusp::host_memory> A(2,2);
* A(0,0) = 10; A(0,1) = 20;
* A(1,0) = 40; A(1,1) = 50;
*
* // initialize input vector
* cusp::array1d<float, cusp::host_memory> x(2);
* x[0] = 1;
* x[1] = 2;
*
* // allocate output vector
* cusp::array1d<float, cusp::host_memory> y(2);
*
* // compute y = A * x
* cusp::multiply(A, x, y);
*
* // print y
* cusp::print(y);
*
* return 0;
* }
* \endcode
*/
template <typename LinearOperator,
typename MatrixOrVector1,
typename MatrixOrVector2>
void multiply(LinearOperator& A,
MatrixOrVector1& B,
MatrixOrVector2& C);
template <typename LinearOperator,
typename MatrixOrVector1,
typename MatrixOrVector2>
void multiply(const LinearOperator& A,
const MatrixOrVector1& B,
const MatrixOrVector2& C);
template <typename LinearOperator,
typename MatrixOrVector1,
typename MatrixOrVector2>
void transposed_multiply(LinearOperator& A,
MatrixOrVector1& B,
MatrixOrVector2& C);
template <typename LinearOperator,
typename MatrixOrVector1,
typename MatrixOrVector2>
void transposed_multiply(const LinearOperator& A,
const MatrixOrVector1& B,
const MatrixOrVector2& C);
/*! \}
*/
} // end namespace cusp
#include <cusp/detail/multiply.inl>
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