整理

include/boost/numeric/ublas/matrix_vector.hpp

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+//  Copyright (c) 2012 Oswin Krause
+//  Copyright (c) 2013 Joaquim Duran
+//
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+//
+
+#ifndef BOOST_UBLAS_MATRIX_VECTOR_HPP
+#define BOOST_UBLAS_MATRIX_VECTOR_HPP
+
+#include <boost/numeric/ublas/matrix_proxy.hpp> //for matrix_row, matrix_column and matrix_expression
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/iterator/iterator_facade.hpp>
+#include <boost/range/iterator_range.hpp>
+#include <boost/type_traits/is_convertible.hpp>
+#include <boost/utility/enable_if.hpp>
+
+namespace boost { namespace numeric { namespace ublas {
+
+namespace detail{
+
+/** \brief Iterator used in the represention of a matrix as a vector of rows or columns
+ *
+ * Iterator used in the represention of a matrix as a vector of rows/columns. It refers
+ * to the i-th element of the matrix, a column or a row depending of Reference type.
+ *
+ * The type of Reference should provide a constructor Reference(matrix, i)
+ *
+ * This iterator is invalidated when the underlying matrix is resized.
+ *
+ * \tparameter Matrix type of matrix that is represented as a vector of row/column
+ * \tparameter Reference Matrix row or matrix column type.
+ */
+template<class Matrix, class Reference>
+class matrix_vector_iterator: public boost::iterator_facade<
+    matrix_vector_iterator<Matrix,Reference>,
+    typename vector_temporary_traits<Reference>::type,
+    boost::random_access_traversal_tag,
+    Reference
+>{
+public:
+    matrix_vector_iterator(){}
+
+    ///\brief constructs a matrix_vector_iterator as pointing to the i-th proxy
+    BOOST_UBLAS_INLINE
+    matrix_vector_iterator(Matrix& matrix, std::size_t position)
+    : matrix_(&matrix),position_(position) {}
+
+    template<class M, class R>
+    BOOST_UBLAS_INLINE
+    matrix_vector_iterator(matrix_vector_iterator<M,R> const& other)
+    : matrix_(other.matrix_),position_(other.position_) {}
+
+private:
+    friend class boost::iterator_core_access;
+    template <class M,class R> friend class matrix_vector_iterator;
+
+    BOOST_UBLAS_INLINE
+    void increment() {
+        ++position_;
+    }
+
+    BOOST_UBLAS_INLINE
+    void decrement() {
+        --position_;
+    }
+
+    BOOST_UBLAS_INLINE
+    void advance(std::ptrdiff_t n){
+        position_ += n;
+    }
+
+    template<class M,class R>
+    BOOST_UBLAS_INLINE
+    std::ptrdiff_t distance_to(matrix_vector_iterator<M,R> const& other) const{
+        BOOST_UBLAS_CHECK (matrix_ == other.matrix_, external_logic ());
+        return (std::ptrdiff_t)other.position_ - (std::ptrdiff_t)position_;
+    }
+
+    template<class M,class R>
+    BOOST_UBLAS_INLINE
+    bool equal(matrix_vector_iterator<M,R> const& other) const{
+        BOOST_UBLAS_CHECK (matrix_ == other.matrix_, external_logic ());
+        return (position_ == other.position_);
+    }
+
+    BOOST_UBLAS_INLINE
+    Reference dereference() const {
+        return Reference(*matrix_,position_);
+    }
+
+    Matrix* matrix_;//no matrix_closure here to ensure easy usage
+    std::size_t position_;
+};
+
+}
+
+/** \brief Represents a \c Matrix as a vector of rows.
+ *
+ * Implements an interface to Matrix that the underlaying matrix is represented as a
+ * vector of rows.
+ *
+ * The vector could be resized which causes the resize of the number of rows of
+ * the underlaying matrix.
+ */
+template<class Matrix>
+class matrix_row_vector {
+public:
+    typedef ublas::matrix_row<Matrix> value_type;
+    typedef ublas::matrix_row<Matrix> reference;
+    typedef ublas::matrix_row<Matrix const> const_reference;
+
+    typedef ublas::detail::matrix_vector_iterator<Matrix, ublas::matrix_row<Matrix> > iterator;
+    typedef ublas::detail::matrix_vector_iterator<Matrix const, ublas::matrix_row<Matrix const> const> const_iterator;
+    typedef boost::reverse_iterator<iterator> reverse_iterator;
+    typedef boost::reverse_iterator<const_iterator> const_reverse_iterator;
+
+    typedef typename boost::iterator_difference<iterator>::type difference_type;
+    typedef typename Matrix::size_type size_type;
+
+    BOOST_UBLAS_INLINE
+    explicit matrix_row_vector(Matrix& matrix) :
+        matrix_(&matrix) {
+    }
+
+    BOOST_UBLAS_INLINE
+    iterator begin(){
+        return iterator(*matrix_, 0);
+    }
+
+    BOOST_UBLAS_INLINE
+    const_iterator begin() const {
+        return const_iterator(*matrix_, 0);
+    }
+
+    BOOST_UBLAS_INLINE
+    const_iterator cbegin() const {
+        return begin();
+    }
+
+    BOOST_UBLAS_INLINE
+    iterator end() {
+        return iterator(*matrix_, matrix_->size1());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_iterator end() const {
+        return const_iterator(*matrix_, matrix_->size1());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_iterator cend() const {
+        return end();
+    }
+
+    BOOST_UBLAS_INLINE
+    reverse_iterator rbegin() {
+        return reverse_iterator(end());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reverse_iterator rbegin() const {
+        return const_reverse_iterator(end());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reverse_iterator crbegin() const {
+        return rbegin();
+    }  
+
+    BOOST_UBLAS_INLINE
+    reverse_iterator rend() {
+        return reverse_iterator(begin());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reverse_iterator rend() const {
+        return const_reverse_iterator(begin());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reverse_iterator crend() const {
+        return end();
+    }
+
+    BOOST_UBLAS_INLINE
+    value_type operator()(size_type index) {
+        return value_type(*matrix_, index);
+    }
+
+    BOOST_UBLAS_INLINE
+    value_type operator()(size_type index) const {
+        return value_type(*matrix_, index);
+    }
+
+    BOOST_UBLAS_INLINE
+    reference operator[](size_type index){
+        return (*this) (index);
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reference operator[](size_type index) const {
+        return (*this) (index);
+    }
+
+    BOOST_UBLAS_INLINE
+    size_type size() const {
+        return matrix_->size1();
+    }
+
+    BOOST_UBLAS_INLINE
+    void resize(size_type size, bool preserve = true) {
+        matrix_->resize(size, matrix_->size2(), preserve);
+    }
+
+private:
+    Matrix* matrix_;
+};
+
+
+/** \brief Convenience function to create \c matrix_row_vector.
+ *
+ * Function to create \c matrix_row_vector objects.
+ * \param matrix the \c matrix_expression that generates the matrix that \c matrix_row_vector is referring.
+ * \return Created \c matrix_row_vector object.
+ *
+ * \tparam Matrix the type of matrix that \c matrix_row_vector is referring.
+ */
+template<class Matrix>
+BOOST_UBLAS_INLINE
+matrix_row_vector<Matrix> make_row_vector(matrix_expression<Matrix>& matrix){
+    return matrix_row_vector<Matrix>(matrix());
+}
+
+
+/** \brief Convenience function to create \c matrix_row_vector.
+ *
+ * Function to create \c matrix_row_vector objects.
+ * \param matrix the \c matrix_expression that generates the matrix that \c matrix_row_vector is referring.
+ * \return Created \c matrix_row_vector object.
+ *
+ * \tparam Matrix the type of matrix that \c matrix_row_vector is referring.
+ */
+template<class Matrix>
+BOOST_UBLAS_INLINE
+matrix_row_vector<Matrix const> make_row_vector(matrix_expression<Matrix> const& matrix){
+    return matrix_row_vector<Matrix const>(matrix());
+}
+
+
+/** \brief Represents a \c Matrix as a vector of columns.
+ *
+ * Implements an interface to Matrix that the underlaying matrix is represented as a
+ * vector of columns.
+ *
+ * The vector could be resized which causes the resize of the number of columns of
+ * the underlaying matrix.
+ */
+template<class Matrix>
+class matrix_column_vector {
+public:
+    typedef ublas::matrix_column<Matrix> value_type;
+    typedef ublas::matrix_column<Matrix> reference;
+    typedef const ublas::matrix_column<Matrix const> const_reference;
+
+    typedef ublas::detail::matrix_vector_iterator<Matrix, ublas::matrix_column<Matrix> > iterator;
+    typedef ublas::detail::matrix_vector_iterator<Matrix const, ublas::matrix_column<Matrix const> const > const_iterator;
+    typedef boost::reverse_iterator<iterator> reverse_iterator;
+    typedef boost::reverse_iterator<const_iterator> const_reverse_iterator;
+
+    typedef typename boost::iterator_difference<iterator>::type difference_type;
+    typedef typename Matrix::size_type size_type;
+
+    BOOST_UBLAS_INLINE
+    explicit matrix_column_vector(Matrix& matrix) :
+        matrix_(&matrix){
+    }
+
+    BOOST_UBLAS_INLINE
+    iterator begin() {
+        return iterator(*matrix_, 0);
+    }
+
+    BOOST_UBLAS_INLINE
+    const_iterator begin() const {
+        return const_iterator(*matrix_, 0);
+    }
+
+    BOOST_UBLAS_INLINE
+    const_iterator cbegin() const {
+        return begin();
+    }
+
+    BOOST_UBLAS_INLINE
+    iterator end() {
+        return iterator(*matrix_, matrix_->size2());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_iterator end() const {
+        return const_iterator(*matrix_, matrix_->size2());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_iterator cend() const {
+        return end();
+    }
+
+    BOOST_UBLAS_INLINE
+    reverse_iterator rbegin() {
+        return reverse_iterator(end());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reverse_iterator rbegin() const {
+        return const_reverse_iterator(end());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reverse_iterator crbegin() const {
+        return rbegin();
+    }
+
+    BOOST_UBLAS_INLINE
+    reverse_iterator rend() {
+        return reverse_iterator(begin());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reverse_iterator rend() const {
+        return const_reverse_iterator(begin());
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reverse_iterator crend() const {
+        return rend();
+    }
+
+    BOOST_UBLAS_INLINE
+    value_type operator()(size_type index) {
+        return value_type(*matrix_, index);
+    }
+
+    BOOST_UBLAS_INLINE
+    value_type operator()(size_type index) const {
+        return value_type(*matrix_, index);
+    }
+
+    BOOST_UBLAS_INLINE
+    reference operator[](size_type index) {
+        return (*this) (index);
+    }
+
+    BOOST_UBLAS_INLINE
+    const_reference operator[](size_type index) const {
+        return (*this) (index);
+    }
+
+    BOOST_UBLAS_INLINE
+    size_type size() const {
+        return matrix_->size2();
+    }
+
+    BOOST_UBLAS_INLINE
+    void resize(size_type size, bool preserve = true) {
+        matrix_->resize(matrix_->size1(), size, preserve);
+    }
+
+private:
+    Matrix* matrix_;
+};
+
+
+/** \brief Convenience function to create \c matrix_column_vector.
+ *
+ * Function to create \c matrix_column_vector objects.
+ * \param matrix the \c matrix_expression that generates the matrix that \c matrix_column_vector is referring.
+ * \return Created \c matrix_column_vector object.
+ *
+ * \tparam Matrix the type of matrix that \c matrix_column_vector is referring.
+ */
+template<class Matrix>
+BOOST_UBLAS_INLINE
+matrix_column_vector<Matrix> make_column_vector(matrix_expression<Matrix>& matrix){
+    return matrix_column_vector<Matrix>(matrix());
+}
+
+
+/** \brief Convenience function to create \c matrix_column_vector.
+ *
+ * Function to create \c matrix_column_vector objects.
+ * \param matrix the \c matrix_expression that generates the matrix that \c matrix_column_vector is referring.
+ * \return Created \c matrix_column_vector object.
+ *
+ * \tparam Matrix the type of matrix that \c matrix_column_vector is referring.
+ */
+template<class Matrix>
+BOOST_UBLAS_INLINE
+matrix_column_vector<Matrix const> make_column_vector(matrix_expression<Matrix> const& matrix){
+    return matrix_column_vector<Matrix const>(matrix());
+}
+
+}}}
+
+#endif