+++ /dev/null
-/* -*- C++ -*- ------------------------------------------------------------
-
-Copyright (c) 2007 Jesse Anders and Demian Nave http://cmldev.net/
-
-The Configurable Math Library (CML) is distributed under the terms of the
-Boost Software License, v1.0 (see cml/LICENSE for details).
-
- *-----------------------------------------------------------------------*/
-/** @file
- * @brief Multiply a matrix and a vector.
- *
- * @todo Implement smarter temporary generation.
- *
- * @todo Does it make sense to put mat-vec multiplication as a node into the
- * expression tree?
- *
- * @internal This does not need to return an expression type, since the
- * temporary generation for the matrix result is handled automatically by the
- * compiler. i.e. when used in an expression, the result is automatically
- * included in the expression tree as a temporary by the compiler.
- */
-
-#ifndef matvec_mul_h
-#define matvec_mul_h
-
-#include <cml/core/cml_meta.h>
-#include <cml/vector/vector_expr.h>
-#include <cml/matrix/matrix_expr.h>
-#include <cml/matvec/matvec_promotions.h>
-
-/* This is used below to create a more meaningful compile-time error when
- * mat-vec mul is not provided with the right arguments:
- */
-struct mvmul_expects_one_matrix_and_one_vector_arg_error;
-struct mvmul_expects_one_vector_and_one_matrix_arg_error;
-
-namespace cml {
-namespace detail {
-
-/* For choosing the proper multiplication order: */
-typedef true_type mul_Ax;
-typedef false_type mul_xA;
-
-/** Compute y = A*x. */
-template<typename LeftT, typename RightT> inline
-typename et::MatVecPromote<
- typename et::ExprTraits<LeftT>::result_type,
- typename et::ExprTraits<RightT>::result_type
->::temporary_type
-mul(const LeftT& A, const RightT& x, mul_Ax)
-{
- /* Shorthand: */
- typedef et::ExprTraits<LeftT> left_traits;
- typedef et::ExprTraits<RightT> right_traits;
- typedef typename left_traits::result_tag left_result;
- typedef typename right_traits::result_tag right_result;
-
- /* mul()[A*x] requires a matrix and a vector expression: */
- CML_STATIC_REQUIRE_M(
- (same_type<left_result, et::matrix_result_tag>::is_true
- && same_type<right_result, et::vector_result_tag>::is_true),
- mvmul_expects_one_matrix_and_one_vector_arg_error);
- /* Note: parens are required here so that the preprocessor ignores the
- * commas.
- */
-
- /* Get result type: */
- typedef typename et::MatVecPromote<
- typename left_traits::result_type,
- typename right_traits::result_type
- >::temporary_type result_type;
-
- /* Record size type: */
- typedef typename result_type::size_tag size_tag;
-
- /* Check the size: */
- size_t N = et::CheckedSize(A, x, size_tag());
-
- /* Initialize the new vector: */
- result_type y; cml::et::detail::Resize(y, N);
-
- /* Compute y = A*x: */
- typedef typename result_type::value_type sum_type;
- for(size_t i = 0; i < N; ++i) {
- /* XXX This should be unrolled. */
- sum_type sum(A(i,0)*x[0]);
- for(size_t k = 1; k < x.size(); ++k) {
- sum += (A(i,k)*x[k]);
- }
- y[i] = sum;
- }
-
- return y;
-}
-
-/** Compute y = x*A. */
-template<typename LeftT, typename RightT> inline
-typename et::MatVecPromote<
- typename et::ExprTraits<LeftT>::result_type,
- typename et::ExprTraits<RightT>::result_type
->::temporary_type
-mul(const LeftT& x, const RightT& A, mul_xA)
-{
- /* Shorthand: */
- typedef et::ExprTraits<LeftT> left_traits;
- typedef et::ExprTraits<RightT> right_traits;
- typedef typename left_traits::result_tag left_result;
- typedef typename right_traits::result_tag right_result;
-
- /* mul()[x*A] requires a vector and a matrix expression: */
- CML_STATIC_REQUIRE_M(
- (same_type<left_result, et::vector_result_tag>::is_true
- && same_type<right_result, et::matrix_result_tag>::is_true),
- mvmul_expects_one_vector_and_one_matrix_arg_error);
- /* Note: parens are required here so that the preprocessor ignores the
- * commas.
- */
-
- /* Get result type: */
- typedef typename et::MatVecPromote<
- typename left_traits::result_type,
- typename right_traits::result_type
- >::temporary_type result_type;
-
- /* Record size type: */
- typedef typename result_type::size_tag size_tag;
-
- /* Check the size: */
- size_t N = et::CheckedSize(x, A, size_tag());
-
- /* Initialize the new vector: */
- result_type y; cml::et::detail::Resize(y, N);
-
- /* Compute y = x*A: */
- typedef typename result_type::value_type sum_type;
- for(size_t i = 0; i < N; ++i) {
- /* XXX This should be unrolled. */
- sum_type sum(x[0]*A(0,i));
- for(size_t k = 1; k < x.size(); ++k) {
- sum += (x[k]*A(k,i));
- }
- y[i] = sum;
- }
-
- return y;
-}
-
-} // namespace detail
-
-
-/** operator*() for a matrix and a vector. */
-template<typename E1, class AT1, typename BO, class L,
- typename E2, class AT2>
-inline typename et::MatVecPromote<
- matrix<E1,AT1,BO,L>, vector<E2,AT2>
->::temporary_type
-operator*(const matrix<E1,AT1,BO,L>& left,
- const vector<E2,AT2>& right)
-{
- return detail::mul(left,right,detail::mul_Ax());
-}
-
-/** operator*() for a matrix and a VectorXpr. */
-template<typename E, class AT, class L, typename BO, typename XprT>
-inline typename et::MatVecPromote<
- matrix<E,AT,BO,L>, typename XprT::result_type
->::temporary_type
-operator*(const matrix<E,AT,BO,L>& left,
- const et::VectorXpr<XprT>& right)
-{
- /* Generate a temporary, and compute the right-hand expression: */
- typename et::VectorXpr<XprT>::temporary_type right_tmp;
- cml::et::detail::Resize(right_tmp,right.size());
- right_tmp = right;
-
- return detail::mul(left,right_tmp,detail::mul_Ax());
-}
-
-/** operator*() for a MatrixXpr and a vector. */
-template<typename XprT, typename E, class AT>
-inline typename et::MatVecPromote<
- typename XprT::result_type, vector<E,AT>
->::temporary_type
-operator*(const et::MatrixXpr<XprT>& left,
- const vector<E,AT>& right)
-{
- /* Generate a temporary, and compute the left-hand expression: */
- typename et::MatrixXpr<XprT>::temporary_type left_tmp;
- cml::et::detail::Resize(left_tmp,left.rows(),left.cols());
- left_tmp = left;
-
- return detail::mul(left_tmp,right,detail::mul_Ax());
-}
-
-/** operator*() for a MatrixXpr and a VectorXpr. */
-template<typename XprT1, typename XprT2>
-inline typename et::MatVecPromote<
- typename XprT1::result_type, typename XprT2::result_type
->::temporary_type
-operator*(const et::MatrixXpr<XprT1>& left,
- const et::VectorXpr<XprT2>& right)
-{
- /* Generate a temporary, and compute the left-hand expression: */
- typename et::MatrixXpr<XprT1>::temporary_type left_tmp;
- cml::et::detail::Resize(left_tmp,left.rows(),left.cols());
- left_tmp = left;
-
- /* Generate a temporary, and compute the right-hand expression: */
- typename et::VectorXpr<XprT2>::temporary_type right_tmp;
- cml::et::detail::Resize(right_tmp,right.size());
- right_tmp = right;
-
- return detail::mul(left_tmp,right_tmp,detail::mul_Ax());
-}
-
-/** operator*() for a vector and a matrix. */
-template<typename E1, class AT1, typename E2, class AT2, typename BO, class L>
-inline typename et::MatVecPromote<
- vector<E1,AT1>, matrix<E2,AT2,BO,L>
->::temporary_type
-operator*(const vector<E1,AT1>& left,
- const matrix<E2,AT2,BO,L>& right)
-{
- return detail::mul(left,right,detail::mul_xA());
-}
-
-/** operator*() for a vector and a MatrixXpr. */
-template<typename XprT, typename E, class AT>
-inline typename et::MatVecPromote<
- typename XprT::result_type, vector<E,AT>
->::temporary_type
-operator*(const vector<E,AT>& left,
- const et::MatrixXpr<XprT>& right)
-{
- /* Generate a temporary, and compute the right-hand expression: */
- typename et::MatrixXpr<XprT>::temporary_type right_tmp;
- cml::et::detail::Resize(right_tmp,right.rows(),right.cols());
- right_tmp = right;
-
- return detail::mul(left,right_tmp,detail::mul_xA());
-}
-
-/** operator*() for a VectorXpr and a matrix. */
-template<typename XprT, typename E, class AT, typename BO, class L>
-inline typename et::MatVecPromote<
- typename XprT::result_type, matrix<E,AT,BO,L>
->::temporary_type
-operator*(const et::VectorXpr<XprT>& left,
- const matrix<E,AT,BO,L>& right)
-{
- /* Generate a temporary, and compute the left-hand expression: */
- typename et::VectorXpr<XprT>::temporary_type left_tmp;
- cml::et::detail::Resize(left_tmp,left.size());
- left_tmp = left;
-
- return detail::mul(left_tmp,right,detail::mul_xA());
-}
-
-/** operator*() for a VectorXpr and a MatrixXpr. */
-template<typename XprT1, typename XprT2>
-inline typename et::MatVecPromote<
- typename XprT1::result_type, typename XprT2::result_type
->::temporary_type
-operator*(const et::VectorXpr<XprT1>& left,
- const et::MatrixXpr<XprT2>& right)
-{
- /* Generate a temporary, and compute the left-hand expression: */
- typename et::VectorXpr<XprT1>::temporary_type left_tmp;
- cml::et::detail::Resize(left_tmp,left.size());
- left_tmp = left;
-
- /* Generate a temporary, and compute the right-hand expression: */
- typename et::MatrixXpr<XprT2>::temporary_type right_tmp;
- cml::et::detail::Resize(right_tmp,right.rows(),right.cols());
- right_tmp = right;
-
- return detail::mul(left_tmp,right_tmp,detail::mul_xA());
-}
-
-} // namespace cml
-
-#endif
-
-// -------------------------------------------------------------------------
-// vim:ft=cpp
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