+++ /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 Matrix linear expression classes.
- *
- * @todo Dynamic resizing needs to be integrated more naturally into
- * mul() and matrix transpose():
- */
-
-#ifndef matrix_expr_h
-#define matrix_expr_h
-
-
-#include <cml/et/size_checking.h>
-#include <cml/matrix/matrix_traits.h>
-#include <cml/matrix/matrix_promotions.h>
-
-/* XXX Don't know which it should be just yet, since RVO seems to obviate the
- * need for a reference type. However, copy by value copies the *entire
- * expression tree rooted at the MatrixXpr<>, so this choice is bound to affect
- * performance for some compiler or another:
- */
-#define MATXPR_ARG_TYPE const et::MatrixXpr<XprT>&
-#define MATXPR_ARG_TYPE_N(_N_) const et::MatrixXpr<XprT##_N_>&
-
-//#define MATXPR_ARG_TYPE const et::MatrixXpr<XprT>
-//#define MATXPR_ARG_TYPE_N(_N_) const et::MatrixXpr<XprT##_N_>
-
-namespace cml {
-namespace et {
-
-/** A placeholder for a matrix expression in the expression tree. */
-template<class ExprT>
-class MatrixXpr
-{
- public:
-
- typedef MatrixXpr<ExprT> expr_type;
-
- /* Copy the expression by value into higher-up expressions: */
- typedef expr_type expr_const_reference;
-
- typedef typename ExprT::value_type value_type;
- typedef matrix_result_tag result_tag;
- typedef typename ExprT::size_tag size_tag; // Just inherit size type.
-
- /* Store the expression traits: */
- typedef ExprTraits<ExprT> expr_traits;
-
- /* Get the reference type: */
- typedef typename expr_traits::const_reference expr_reference;
-
- /* Get the result type: */
- typedef typename expr_traits::result_type result_type;
-
- /* Get the basis type: */
- typedef typename result_type::basis_orient basis_orient;
-
- /* Get the temporary type: */
- typedef typename result_type::temporary_type temporary_type;
-
- /* For matching by assignability: */
- typedef cml::et::not_assignable_tag assignable_tag;
-
-
- public:
-
- /** Record result size as an enum (if applicable). */
- enum { array_rows = ExprT::array_rows, array_cols = ExprT::array_cols };
-
-
- public:
-
- /** Return the expression size as a pair. */
- matrix_size size() const {
- return matrix_size(this->rows(),this->cols());
- }
-
- /** Return number of rows in the expression (same as subexpression). */
- size_t rows() const {
- return expr_traits().rows(m_expr);
- }
-
- /** Return number of columns in the expression (same as subexpression). */
- size_t cols() const {
- return expr_traits().cols(m_expr);
- }
-
- /** Return reference to contained expression. */
- expr_reference expression() const { return m_expr; }
-
- /** Compute value at index i,j of the result matrix. */
- value_type operator()(size_t i, size_t j) const {
- return expr_traits().get(m_expr,i,j);
- }
-
- /** Return element j of basis vector i. */
- value_type basis_element(size_t i, size_t j) const {
- return basis_element(i,j,basis_orient());
- }
-
-
- public:
-
- /** Construct from the subexpression to store. */
- explicit MatrixXpr(expr_reference expr) : m_expr(expr) {}
-
- /** Copy constructor. */
- MatrixXpr(const expr_type& e) : m_expr(e.m_expr) {}
-
-
- protected:
-
- value_type basis_element(size_t i, size_t j, row_basis) const {
- return (*this)(i,j);
- }
-
- value_type basis_element(size_t i, size_t j, col_basis) const {
- return (*this)(j,i);
- }
-
-
- protected:
-
- expr_reference m_expr;
-
-
- private:
-
- /* Cannot be assigned to: */
- expr_type& operator=(const expr_type&);
-};
-
-/** Expression traits for MatrixXpr<>. */
-template<class ExprT>
-struct ExprTraits< MatrixXpr<ExprT> >
-{
- typedef MatrixXpr<ExprT> expr_type;
- typedef ExprT arg_type;
-
- typedef typename expr_type::value_type value_type;
- typedef typename expr_type::expr_const_reference const_reference;
- typedef typename expr_type::result_tag result_tag;
- typedef typename expr_type::size_tag size_tag;
- typedef typename expr_type::result_type result_type;
- typedef typename expr_type::assignable_tag assignable_tag;
- typedef expr_node_tag node_tag;
-
- value_type get(const expr_type& e, size_t i, size_t j) const {
- return e(i,j);
- }
-
-
- matrix_size size(const expr_type& e) const { return e.size(); }
- size_t rows(const expr_type& e) const { return e.rows(); }
- size_t cols(const expr_type& e) const { return e.cols(); }
-};
-
-
-/** A unary matrix expression operating on matrix elements as a list.
- *
- * The operator must take exactly one argument.
- */
-template<class ExprT, class OpT>
-class UnaryMatrixOp
-{
- public:
-
- typedef UnaryMatrixOp<ExprT,OpT> expr_type;
-
- /* Record ary-ness of the expression: */
- typedef unary_expression expr_ary;
-
- /* Copy the expression by value into higher-up expressions: */
- typedef expr_type expr_const_reference;
-
- typedef typename OpT::value_type value_type;
- typedef matrix_result_tag result_tag;
- typedef typename ExprT::size_tag size_tag;
-
- /* Store the expression traits for the subexpression: */
- typedef ExprTraits<ExprT> expr_traits;
-
- /* Reference type for the subexpression: */
- typedef typename expr_traits::const_reference expr_reference;
-
- /* Get the result type: */
- typedef typename expr_traits::result_type result_type;
-
- /* Get the temporary type: */
- typedef typename result_type::temporary_type temporary_type;
-
- /* For matching by assignability: */
- typedef cml::et::not_assignable_tag assignable_tag;
-
-
- public:
-
- /** Record result size as an enum (if applicable). */
- enum { array_rows = ExprT::array_rows, array_cols = ExprT::array_cols };
-
-
- public:
-
- /** Return the expression size as a pair. */
- matrix_size size() const {
- return matrix_size(this->rows(),this->cols());
- }
-
- /** Return number of rows in the expression (same as argument). */
- size_t rows() const {
- return expr_traits().rows(m_expr);
- }
-
- /** Return number of columns in the expression (same as argument). */
- size_t cols() const {
- return expr_traits().cols(m_expr);
- }
-
- /** Compute value at index i,j of the result matrix. */
- value_type operator()(size_t i, size_t j) const {
-
- /* This uses the expression traits to figure out how to access the
- * i,j'th element of the subexpression:
- */
- return OpT().apply(expr_traits().get(m_expr,i,j));
- }
-
-
- public:
-
- /** Construct from the subexpression. */
- explicit UnaryMatrixOp(expr_reference expr) : m_expr(expr) {}
-
- /** Copy constructor. */
- UnaryMatrixOp(const expr_type& e) : m_expr(e.m_expr) {}
-
-
- protected:
-
- expr_reference m_expr;
-
-
- private:
-
- /* Cannot be assigned to: */
- expr_type& operator=(const expr_type&);
-};
-
-/** Expression traits for UnaryMatrixOp<>. */
-template<class ExprT, class OpT>
-struct ExprTraits< UnaryMatrixOp<ExprT,OpT> >
-{
- typedef UnaryMatrixOp<ExprT,OpT> expr_type;
- typedef ExprT arg_type;
-
- typedef typename expr_type::value_type value_type;
- typedef typename expr_type::expr_const_reference const_reference;
- typedef typename expr_type::result_tag result_tag;
- typedef typename expr_type::size_tag size_tag;
- typedef typename expr_type::result_type result_type;
- typedef typename expr_type::assignable_tag assignable_tag;
- typedef expr_node_tag node_tag;
-
- value_type get(const expr_type& e, size_t i, size_t j) const {
- return e(i,j);
- }
-
- matrix_size size(const expr_type& e) const { return e.size(); }
- size_t rows(const expr_type& e) const { return e.rows(); }
- size_t cols(const expr_type& e) const { return e.cols(); }
-};
-
-
-/** A binary matrix expression. */
-template<class LeftT, class RightT, class OpT>
-class BinaryMatrixOp
-{
- public:
-
- typedef BinaryMatrixOp<LeftT,RightT,OpT> expr_type;
-
- /* Copy the UnaryMatrixOp expression by value into parent
- * expression tree nodes:
- */
- typedef expr_type expr_const_reference;
-
- typedef typename OpT::value_type value_type;
- typedef matrix_result_tag result_tag;
-
- /* For matching by assignability: */
- typedef cml::et::not_assignable_tag assignable_tag;
-
- /* Record the expression traits for the two subexpressions: */
- typedef ExprTraits<LeftT> left_traits;
- typedef ExprTraits<RightT> right_traits;
-
- /* Reference types for the two subexpressions: */
- typedef typename left_traits::const_reference left_reference;
- typedef typename right_traits::const_reference right_reference;
-
- /* Figure out the expression's resulting (matrix) type: */
- typedef typename left_traits::result_type left_result;
- typedef typename right_traits::result_type right_result;
- typedef typename MatrixPromote<left_result,right_result>::type result_type;
- typedef typename result_type::size_tag size_tag;
-
- /* Get the temporary type: */
- typedef typename result_type::temporary_type temporary_type;
-
- /* Define a size checker: */
- typedef GetCheckedSize<LeftT,RightT,size_tag> checked_size;
-
-
- public:
-
- /** Record result size as an enum (if applicable).
- *
- * CheckExprSizes<> ensures that this works as expected.
- */
- enum {
- array_rows = result_type::array_rows,
- array_cols = result_type::array_cols
- };
-
-
- public:
-
- /** Return the expression size as a pair. */
- matrix_size size() const {
- return CheckedSize(m_left,m_right,size_tag());
- }
-
- /** Return number of rows in the result.
- *
- * @note Because this calls size() internally, calling both rows()
- * and cols() with CML_CHECK_MATRIX_EXPR_SIZES defined will cause the size
- * checking code to be executed twice.
- */
- size_t rows() const {
-#if defined(CML_CHECK_MATRIX_EXPR_SIZES)
- return this->size().first;
-#else
- return left_traits().rows(m_left);
-#endif
- }
-
- /** Return number of cols in the result.
- *
- * @note Because this calls size() internally, calling both rows()
- * and cols() with CML_CHECK_MATRIX_EXPR_SIZES defined will cause the size
- * checking code to be executed twice.
- */
- size_t cols() const {
-#if defined(CML_CHECK_MATRIX_EXPR_SIZES)
- return this->size().second;
-#else
- return right_traits().cols(m_right);
-#endif
- }
-
- /** Compute value at index i,j of the result matrix. */
- value_type operator()(size_t i, size_t j) const {
-
- /* This uses the expression traits to figure out how to access the
- * i'th index of the two subexpressions:
- */
- return OpT().apply(
- left_traits().get(m_left,i,j),
- right_traits().get(m_right,i,j));
- }
-
-
- public:
-
- /** Construct from the two subexpressions.
- *
- * @throws std::invalid_argument if the subexpression sizes don't
- * match.
- */
- explicit BinaryMatrixOp(left_reference left, right_reference right)
- : m_left(left), m_right(right) {}
-
- /** Copy constructor. */
- BinaryMatrixOp(const expr_type& e)
- : m_left(e.m_left), m_right(e.m_right) {}
-
-
- protected:
-
- left_reference m_left;
- right_reference m_right;
-
-
- private:
-
- /* This ensures that a compile-time size check is executed: */
- typename checked_size::check_type _dummy;
-
-
- private:
-
- /* Cannot be assigned to: */
- expr_type& operator=(const expr_type&);
-};
-
-/** Expression traits for BinaryMatrixOp<>. */
-template<class LeftT, class RightT, class OpT>
-struct ExprTraits< BinaryMatrixOp<LeftT,RightT,OpT> >
-{
- typedef BinaryMatrixOp<LeftT,RightT,OpT> expr_type;
- typedef LeftT left_type;
- typedef RightT right_type;
-
- typedef typename expr_type::value_type value_type;
- typedef typename expr_type::expr_const_reference const_reference;
- typedef typename expr_type::result_tag result_tag;
- typedef typename expr_type::size_tag size_tag;
- typedef typename expr_type::result_type result_type;
- typedef typename expr_type::assignable_tag assignable_tag;
- typedef expr_node_tag node_tag;
-
- value_type get(const expr_type& e, size_t i, size_t j) const {
- return e(i,j);
- }
-
- matrix_size size(const expr_type& e) const { return e.size(); }
- size_t rows(const expr_type& e) const { return e.rows(); }
- size_t cols(const expr_type& e) const { return e.cols(); }
-};
-
-/* Helper struct to verify that both arguments are matrix expressions: */
-template<typename LeftTraits, typename RightTraits>
-struct MatrixExpressions
-{
- /* Require that both arguments are matrix expressions: */
- typedef typename LeftTraits::result_tag left_result;
- typedef typename RightTraits::result_tag right_result;
- enum { is_true = (same_type<left_result,et::matrix_result_tag>::is_true
- && same_type<right_result,et::matrix_result_tag>::is_true) };
-};
-
-namespace detail {
-
-/* XXX These are temporary helpers until dynamic resizing is integrated more
- * naturally into mul() and matrix transpose():
- */
-template<typename MatT, typename MT> inline
-void Resize(MatT&, size_t, size_t, fixed_size_tag, MT) {}
-
-template<typename MatT> inline
-void Resize(MatT& m,
- size_t R, size_t C, dynamic_size_tag, dynamic_memory_tag)
-{
- m.resize(R,C);
-}
-
-template<typename MatT> inline
-void Resize(MatT& m, size_t R, size_t C) {
- Resize(m, R, C, typename MatT::size_tag(), typename MatT::memory_tag());
-}
-
-template<typename MatT> inline
-void Resize(MatT& m, matrix_size N) {
- Resize(m, N.first, N.second,
- typename MatT::size_tag(), typename MatT::memory_tag());
-}
-
-} // namespace detail
-
-} // namespace et
-} // namespace cml
-
-#endif
-
-// -------------------------------------------------------------------------
-// vim:ft=cpp