Chris@16: //
Chris@16: //  Copyright (c) 2000-2010
Chris@16: //  Joerg Walter, Mathias Koch, Gunter Winkler, David Bellot
Chris@101: //  Copyright (c) 2014, Athanasios Iliopoulos
Chris@16: //
Chris@16: //  Distributed under the Boost Software License, Version 1.0. (See
Chris@16: //  accompanying file LICENSE_1_0.txt or copy at
Chris@16: //  http://www.boost.org/LICENSE_1_0.txt)
Chris@16: //
Chris@16: //  The authors gratefully acknowledge the support of
Chris@16: //  GeNeSys mbH & Co. KG in producing this work.
Chris@16: //
Chris@16: 
Chris@16: #ifndef _BOOST_UBLAS_MATRIX_
Chris@16: #define _BOOST_UBLAS_MATRIX_
Chris@16: 
Chris@101: #include <boost/config.hpp>
Chris@16: #include <boost/numeric/ublas/vector.hpp>
Chris@16: #include <boost/numeric/ublas/matrix_expression.hpp>
Chris@16: #include <boost/numeric/ublas/detail/matrix_assign.hpp>
Chris@16: #include <boost/serialization/collection_size_type.hpp>
Chris@16: #include <boost/serialization/array.hpp>
Chris@16: #include <boost/serialization/nvp.hpp>
Chris@16: 
Chris@16: // Iterators based on ideas of Jeremy Siek
Chris@16: 
Chris@16: namespace boost { namespace numeric { 
Chris@16: 	
Chris@16: 	/** \brief main namespace of uBLAS.
Chris@16: 	 *
Chris@16: 	 * Use this namespace for all operations with uBLAS. It can also be abbreviated with
Chris@16: 	 * \code namespace ublas = boost::numeric::ublas; \endcode
Chris@16: 	 *
Chris@16: 	 * A common practice is to bring this namespace into the current scope with
Chris@16: 	 * \code using namespace boost::numeric::ublas; \endcode.
Chris@16: 	 *
Chris@16: 	 * However, be warned that using the ublas namespace and the std::vector at the same time can lead to the compiler to confusion. 
Chris@16: 	 * The solution is simply to prefix each ublas vector like \c boost::numeric::ublas::vector<T>. If you think it's too long to 
Chris@16: 	 * write, you can define a new namespace like \c namespace ublas = boost::numeric::ublas and then just declare your vectors
Chris@16: 	 * with \c ublas::vector<T>. STL vectors will be declared as vector<T>. No need to prefix with \c std::
Chris@16: 	 */
Chris@16: 	namespace ublas {
Chris@16: 
Chris@16:     namespace detail {
Chris@16:         using namespace boost::numeric::ublas;
Chris@16: 
Chris@16:         // Matrix resizing algorithm
Chris@16:         template <class L, class M>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void matrix_resize_preserve (M& m, M& temporary) {
Chris@16:             typedef L layout_type;
Chris@16:             typedef typename M::size_type size_type;
Chris@16:             const size_type msize1 (m.size1 ());        // original size
Chris@16:             const size_type msize2 (m.size2 ());
Chris@16:             const size_type size1 (temporary.size1 ());    // new size is specified by temporary
Chris@16:             const size_type size2 (temporary.size2 ());
Chris@16:             // Common elements to preserve
Chris@16:             const size_type size1_min = (std::min) (size1, msize1);
Chris@16:             const size_type size2_min = (std::min) (size2, msize2);
Chris@16:             // Order for major and minor sizes
Chris@16:             const size_type major_size = layout_type::size_M (size1_min, size2_min);
Chris@16:             const size_type minor_size = layout_type::size_m (size1_min, size2_min);
Chris@16:             // Indexing copy over major
Chris@16:             for (size_type major = 0; major != major_size; ++major) {
Chris@16:                 for (size_type minor = 0; minor != minor_size; ++minor) {
Chris@16:                         // find indexes - use invertability of element_ functions
Chris@16:                     const size_type i1 = layout_type::index_M(major, minor);
Chris@16:                     const size_type i2 = layout_type::index_m(major, minor);
Chris@16:                     temporary.data () [layout_type::element (i1, size1, i2, size2)] =
Chris@16:                             m.data() [layout_type::element (i1, msize1, i2, msize2)];
Chris@16:                 }
Chris@16:             }
Chris@16:             m.assign_temporary (temporary);
Chris@16:         }
Chris@16:     }
Chris@16: 
Chris@16:     /** \brief A dense matrix of values of type \c T.
Chris@16:      *
Chris@16:      * For a \f$(m \times n)\f$-dimensional matrix and \f$ 0 \leq i < m, 0 \leq j < n\f$, every element \f$ m_{i,j} \f$ is mapped to 
Chris@16:      * the \f$(i.n + j)\f$-th element of the container for row major orientation or the \f$ (i + j.m) \f$-th element of 
Chris@16:      * the container for column major orientation. In a dense matrix all elements are represented in memory in a 
Chris@16:      * contiguous chunk of memory by definition.
Chris@16:      * 
Chris@16:      * Orientation and storage can also be specified, otherwise a \c row_major and \c unbounded_array are used. It is \b not 
Chris@16:      * required by the storage to initialize elements of the matrix.
Chris@16:      *
Chris@16:      * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
Chris@16:      * \tparam L the storage organization. It can be either \c row_major or \c column_major. Default is \c row_major
Chris@16:      * \tparam A the type of Storage array. Default is \c unbounded_array
Chris@16:      */
Chris@16:     template<class T, class L, class A>
Chris@16:     class matrix:
Chris@16:         public matrix_container<matrix<T, L, A> > {
Chris@16: 
Chris@16:         typedef T *pointer;
Chris@16:         typedef L layout_type;
Chris@16:         typedef matrix<T, L, A> self_type;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_container<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef typename A::size_type size_type;
Chris@16:         typedef typename A::difference_type difference_type;
Chris@16:         typedef T value_type;
Chris@16:         typedef const T &const_reference;
Chris@16:         typedef T &reference;
Chris@16:         typedef A array_type;
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef vector<T, A> vector_temporary_type;
Chris@16:         typedef self_type matrix_temporary_type;
Chris@16:         typedef dense_tag storage_category;
Chris@16:         // This could be better for performance,
Chris@16:         // typedef typename unknown_orientation_tag orientation_category;
Chris@16:         // but others depend on the orientation information...
Chris@16:         typedef typename L::orientation_category orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16: 	  
Chris@16: 	  /// Default dense matrix constructor. Make a dense matrix of size (0,0)
Chris@16: 	    BOOST_UBLAS_INLINE
Chris@16: 	    matrix ():
Chris@16: 	        matrix_container<self_type> (),
Chris@16: 	        size1_ (0), size2_ (0), data_ () {}
Chris@16: 	
Chris@16: 	  /** Dense matrix constructor with defined size
Chris@16: 	   * \param size1 number of rows
Chris@16: 	   * \param size2 number of columns
Chris@16: 	   */
Chris@16: 	    BOOST_UBLAS_INLINE
Chris@16: 	    matrix (size_type size1, size_type size2):
Chris@16: 	        matrix_container<self_type> (),
Chris@16: 	        size1_ (size1), size2_ (size2), data_ (layout_type::storage_size (size1, size2)) {
Chris@16: 	    }
Chris@16: 	
Chris@16: 	  /** Dense matrix constructor with defined size a initial value for all the matrix elements
Chris@16: 	   * \param size1 number of rows
Chris@16: 	   * \param size2 number of columns
Chris@16: 	   * \param init initial value assigned to all elements
Chris@16: 	   */
Chris@16: 	    matrix (size_type size1, size_type size2, const value_type &init):
Chris@16: 	        matrix_container<self_type> (),
Chris@16: 	        size1_ (size1), size2_ (size2), data_ (layout_type::storage_size (size1, size2), init) {
Chris@16: 	    }
Chris@16: 
Chris@16: 	  /** Dense matrix constructor with defined size and an initial data array
Chris@16: 	   * \param size1 number of rows
Chris@16: 	   * \param size2 number of columns
Chris@16: 	   * \param data array to copy into the matrix. Must have the same dimension as the matrix
Chris@16: 	   */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix (size_type size1, size_type size2, const array_type &data):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), data_ (data) {}
Chris@16: 
Chris@16: 	  /** Copy-constructor of a dense matrix
Chris@16: 	   * \param m is a dense matrix
Chris@16: 	   */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix (const matrix &m):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (m.size1_), size2_ (m.size2_), data_ (m.data_) {}
Chris@16: 
Chris@16: 	  /** Copy-constructor of a dense matrix from a matrix expression
Chris@16: 	   * \param ae is a matrix expression
Chris@16: 	   */
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix (const matrix_expression<AE> &ae):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (ae ().size1 ()), size2_ (ae ().size2 ()), data_ (layout_type::storage_size (size1_, size2_)) {
Chris@16:             matrix_assign<scalar_assign> (*this, ae);
Chris@16:         }
Chris@16: 
Chris@16:         // Accessors
Chris@16: 	  /** Return the number of rows of the matrix
Chris@16: 	   * You can also use the free size<>() function in operation/size.hpp as size<1>(m) where m is a matrix
Chris@16: 	   */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return size1_;
Chris@16:         }
Chris@16: 
Chris@16: 	  /** Return the number of colums of the matrix
Chris@16: 	   * You can also use the free size<>() function in operation/size.hpp as size<2>(m) where m is a matrix
Chris@16: 	   */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const {
Chris@16:             return size2_;
Chris@16:         }
Chris@16: 
Chris@16:         // Storage accessors
Chris@16: 	  /** Return a constant reference to the internal storage of a dense matrix, i.e. the raw data
Chris@16: 	   * It's type depends on the type used by the matrix to store its data
Chris@16: 	   */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const array_type &data () const {
Chris@16:             return data_;
Chris@16:         }
Chris@16: 	  /** Return a reference to the internal storage of a dense matrix, i.e. the raw data
Chris@16: 	   * It's type depends on the type used by the matrix to store its data
Chris@16: 	   */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         array_type &data () {
Chris@16:             return data_;
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16: 	  /** Resize a matrix to new dimensions
Chris@16: 	   * If data are preserved, then if the size if bigger at least on one dimension, extra values are filled with zeros.
Chris@16: 	   * If data are not preserved, then nothing has to be assumed regarding the content of the matrix after resizing.
Chris@16: 	   * \param size1 the new number of rows
Chris@16: 	   * \param size2 the new number of colums
Chris@16: 	   * \param preserve a boolean to say if one wants the data to be preserved during the resizing. Default is true.
Chris@16: 	   */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool preserve = true) {
Chris@16:             if (preserve) {
Chris@16:                 self_type temporary (size1, size2);
Chris@16:                 detail::matrix_resize_preserve<layout_type> (*this, temporary);
Chris@16:             }
Chris@16:             else {
Chris@16:                 data ().resize (layout_type::storage_size (size1, size2));
Chris@16:                 size1_ = size1;
Chris@16:                 size2_ = size2;
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16:     
Chris@16:     /** Access a matrix element. Here we return a const reference
Chris@16:      * \param i the first coordinate of the element. By default it's the row
Chris@16:      * \param j the second coordinate of the element. By default it's the column
Chris@16:      * \return a const reference to the element
Chris@16:      */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type i, size_type j) const {
Chris@16:             return data () [layout_type::element (i, size1_, j, size2_)];
Chris@16:         }
Chris@16: 
Chris@16:     /** Access a matrix element. Here we return a reference
Chris@16:      * \param i the first coordinate of the element. By default it's the row
Chris@16:      * \param j the second coordinate of the element. By default it's the column
Chris@16:      * \return a reference to the element
Chris@16:      */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference at_element (size_type i, size_type j) {
Chris@16:             return data () [layout_type::element (i, size1_, j, size2_)];
Chris@16:         }
Chris@16: 
Chris@16:     /** Access a matrix element. Here we return a reference
Chris@16:      * \param i the first coordinate of the element. By default it's the row
Chris@16:      * \param j the second coordinate of the element. By default it's the column
Chris@16:      * \return a reference to the element
Chris@16:      */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16:             return at_element (i, j);
Chris@16:         }
Chris@16: 
Chris@16:         // Element assignment
Chris@16: 
Chris@16:     /** Change the value of a matrix element. Return back a reference to it
Chris@16:      * \param i the first coordinate of the element. By default it's the row
Chris@16:      * \param j the second coordinate of the element. By default it's the column
Chris@16:      * \param t the new value of the element
Chris@16:      * \return a reference to the newly changed element
Chris@16:      */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference insert_element (size_type i, size_type j, const_reference t) {
Chris@16:             return (at_element (i, j) = t);
Chris@16:         }
Chris@16: 
Chris@16:     /** Erase the element 
Chris@16:      * For most types (int, double, etc...) it means setting 0 (zero) the element at zero in fact.
Chris@16:      * For user-defined types, it could be another value if you decided it. Your type in that case must
Chris@16:      * contain a default null value.
Chris@16:      * \param i the first coordinate of the element. By default it's the row
Chris@16:      * \param j the second coordinate of the element. By default it's the column
Chris@16:      */
Chris@16:         void erase_element (size_type i, size_type j) {
Chris@16:             at_element (i, j) = value_type/*zero*/();
Chris@16:         }
Chris@16: 
Chris@16:         // Zeroing
Chris@16:     /** Erase all elements in the matrix
Chris@16:      * For most types (int, double, etc...) it means writing 0 (zero) everywhere.
Chris@16:      * For user-defined types, it could be another value if you decided it. Your type in that case must
Chris@16:      * contain a default null value.
Chris@16:      */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void clear () {
Chris@16:             std::fill (data ().begin (), data ().end (), value_type/*zero*/());
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16: #ifdef BOOST_UBLAS_MOVE_SEMANTICS
Chris@16: 
Chris@16:         /*! @note "pass by value" the key idea to enable move semantics */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &operator = (matrix m) {
Chris@16:             assign_temporary(m);
Chris@16:             return *this;
Chris@16:         }
Chris@16: #else
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &operator = (const matrix &m) {
Chris@16:             size1_ = m.size1_;
Chris@16:             size2_ = m.size2_;
Chris@16:             data () = m.data ();
Chris@16:             return *this;
Chris@16:         }
Chris@16: #endif
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &operator = (const matrix_container<C> &m) {
Chris@16:             resize (m ().size1 (), m ().size2 (), false);
Chris@16:             assign (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &assign_temporary (matrix &m) {
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &operator = (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_assign> (*this, ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix& operator += (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this + ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &operator += (const matrix_container<C> &m) {
Chris@16:             plus_assign (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &plus_assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_plus_assign> (*this, ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this - ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &operator -= (const matrix_container<C> &m) {
Chris@16:             minus_assign (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix &minus_assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_minus_assign> (*this, ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix& operator *= (const AT &at) {
Chris@16:             matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix& operator /= (const AT &at) {
Chris@16:             matrix_assign_scalar<scalar_divides_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 std::swap (size1_, m.size1_);
Chris@16:                 std::swap (size2_, m.size2_);
Chris@16:                 data ().swap (m.data ());
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (matrix &m1, matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use the storage array iterator
Chris@16:         typedef typename A::const_iterator const_subiterator_type;
Chris@16:         typedef typename A::iterator subiterator_type;
Chris@16: 
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         typedef indexed_iterator1<self_type, dense_random_access_iterator_tag> iterator1;
Chris@16:         typedef indexed_iterator2<self_type, dense_random_access_iterator_tag> iterator2;
Chris@16:         typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
Chris@16:         typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
Chris@16: #else
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
Chris@16: #endif
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16:         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 find1 (int /* rank */, size_type i, size_type j) const {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return const_iterator1 (*this, i, j);
Chris@16: #else
Chris@16:             return const_iterator1 (*this, data ().begin () + layout_type::address (i, size1_, j, size2_));
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 find1 (int /* rank */, size_type i, size_type j) {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return iterator1 (*this, i, j);
Chris@16: #else
Chris@16:             return iterator1 (*this, data ().begin () + layout_type::address (i, size1_, j, size2_));
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 find2 (int /* rank */, size_type i, size_type j) const {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return const_iterator2 (*this, i, j);
Chris@16: #else
Chris@16:             return const_iterator2 (*this, data ().begin () + layout_type::address (i, size1_, j, size2_));
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 find2 (int /* rank */, size_type i, size_type j) {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return iterator2 (*this, i, j);
Chris@16: #else
Chris@16:             return iterator2 (*this, data ().begin () + layout_type::address (i, size1_, j, size2_));
Chris@16: #endif
Chris@16:         }
Chris@16: 
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename matrix::value_type value_type;
Chris@16:             typedef typename matrix::difference_type difference_type;
Chris@16:             typedef typename matrix::const_reference reference;
Chris@16:             typedef const typename matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator2 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 ():
Chris@16:                 container_const_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 layout_type::increment_i (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 layout_type::decrement_i (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator += (difference_type n) {
Chris@16:                 layout_type::increment_i (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -= (difference_type n) {
Chris@16:                 layout_type::decrement_i (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return layout_type::distance_i (it_ - it.it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator2 end () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return layout_type::index_i (it_ - m.begin1 ().it_, m.size1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return layout_type::index_j (it_ - m.begin1 ().it_, m.size1 (), m.size2 ());
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator_type it_;
Chris@16: 
Chris@16:             friend class iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return find1 (0, size1_, 0);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator1:
Chris@16:             public container_reference<matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename matrix::value_type value_type;
Chris@16:             typedef typename matrix::difference_type difference_type;
Chris@16:             typedef typename matrix::reference reference;
Chris@16:             typedef typename matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator2 dual_iterator_type;
Chris@16:             typedef reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 ():
Chris@16:                 container_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 layout_type::increment_i (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 layout_type::decrement_i (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator += (difference_type n) {
Chris@16:                 layout_type::increment_i (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -= (difference_type n) {
Chris@16:                 layout_type::decrement_i (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return layout_type::distance_i (it_ - it.it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 begin () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 end () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rbegin () const {
Chris@16:                 return reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rend () const {
Chris@16:                 return reverse_iterator2 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return layout_type::index_i (it_ - m.begin1 ().it_, m.size1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return layout_type::index_j (it_ - m.begin1 ().it_, m.size1 (), m.size2 ());
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator = (const iterator1 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 begin1 () {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 end1 () {
Chris@16:             return find1 (0, size1_, 0);
Chris@16:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename matrix::value_type value_type;
Chris@16:             typedef typename matrix::difference_type difference_type;
Chris@16:             typedef typename matrix::const_reference reference;
Chris@16:             typedef const typename matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator1 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 ():
Chris@16:                 container_const_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 layout_type::increment_j (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 layout_type::decrement_j (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator += (difference_type n) {
Chris@16:                 layout_type::increment_j (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -= (difference_type n) {
Chris@16:                 layout_type::decrement_j (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return layout_type::distance_j (it_ - it.it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, 0, index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator1 end () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, m.size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rbegin () const {
Chris@16:                 return const_reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return layout_type::index_i (it_ - m.begin2 ().it_, m.size1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return layout_type::index_j (it_ - m.begin2 ().it_, m.size1 (), m.size2 ());
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator_type it_;
Chris@16: 
Chris@16:             friend class iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator2:
Chris@16:             public container_reference<matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename matrix::value_type value_type;
Chris@16:             typedef typename matrix::difference_type difference_type;
Chris@16:             typedef typename matrix::reference reference;
Chris@16:             typedef typename matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator1 dual_iterator_type;
Chris@16:             typedef reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 ():
Chris@16:                 container_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 layout_type::increment_j (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 layout_type::decrement_j (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator += (difference_type n) {
Chris@16:                 layout_type::increment_j (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -= (difference_type n) {
Chris@16:                 layout_type::decrement_j (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return layout_type::distance_j (it_ - it.it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 begin () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, 0, index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 end () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, m.size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rbegin () const {
Chris@16:                 return reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rend () const {
Chris@16:                 return reverse_iterator1 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return layout_type::index_i (it_ - m.begin2 ().it_, m.size1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return layout_type::index_j (it_ - m.begin2 ().it_, m.size1 (), m.size2 ());
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator = (const iterator2 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 begin2 () {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 end2 () {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rbegin1 () {
Chris@16:             return reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rend1 () {
Chris@16:             return reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rbegin2 () {
Chris@16:             return reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rend2 () {
Chris@16:             return reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@16: 
Chris@16:         // Serialization
Chris@16:         template<class Archive>
Chris@16:         void serialize(Archive & ar, const unsigned int /* file_version */){
Chris@16:         
Chris@16:             // we need to copy to a collection_size_type to get a portable
Chris@16:             // and efficient serialization
Chris@16:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:           
Chris@16:             // serialize the sizes
Chris@16:             ar & serialization::make_nvp("size1",s1)
Chris@16:                & serialization::make_nvp("size2",s2);
Chris@16: 
Chris@16:             // copy the values back if loading
Chris@16:             if (Archive::is_loading::value) {
Chris@16:                 size1_ = s1;
Chris@16:                 size2_ = s2;
Chris@16:             }
Chris@16:             ar & serialization::make_nvp("data",data_);
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         size_type size1_;
Chris@16:         size_type size2_;
Chris@16:         array_type data_;
Chris@16:     };
Chris@16: 
Chris@101: 
Chris@101: #ifdef BOOST_UBLAS_CPP_GE_2011
Chris@101:     /** \brief A fixed size dense matrix of values of type \c T. Equivalent to a c-style 2 dimensional array.
Chris@101:      *
Chris@101:      * For a \f$(m \times n)\f$-dimensional fixed_matrix and \f$ 0 \leq i < m, 0 \leq j < n\f$, every element \f$ m_{i,j} \f$ is mapped to
Chris@101:      * the \f$(i.n + j)\f$-th element of the container for row major orientation or the \f$ (i + j.m) \f$-th element of
Chris@101:      * the container for column major orientation. In a dense matrix all elements are represented in memory in a
Chris@101:      * contiguous chunk of memory by definition.
Chris@101:      *
Chris@101:      * Orientation and storage can also be specified, otherwise \c row_major and \c std::array are used. It is \b not
Chris@101:      * required by the storage container to initialize elements of the matrix.
Chris@101:      *
Chris@101:      * \tparam T the type of object stored in the matrix (like double, float, std::complex<double>, etc...)
Chris@101:      * \tparam L the storage organization. It can be either \c row_major or \c column_major. Default is \c row_major
Chris@101:      * \tparam A the type of Storage array. Default is \c std::array<T, M*N>
Chris@101:      */
Chris@101:     template<class T, std::size_t M, std::size_t N, class L, class A>
Chris@101:     class fixed_matrix:
Chris@101:         public matrix_container<fixed_matrix<T, M, N, L, A> > {
Chris@101: 
Chris@101:         typedef T *pointer;
Chris@101:         typedef L layout_type;
Chris@101:         typedef fixed_matrix<T, M, N, L, A> self_type;
Chris@101:     public:
Chris@101: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@101:         using matrix_container<self_type>::operator ();
Chris@101: #endif
Chris@101:         typedef typename A::size_type size_type;
Chris@101:         typedef typename A::difference_type difference_type;
Chris@101:         typedef T value_type;
Chris@101:         typedef const T &const_reference;
Chris@101:         typedef T &reference;
Chris@101:         typedef A array_type;
Chris@101:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@101:         typedef matrix_reference<self_type> closure_type;
Chris@101:         typedef vector<T, A> vector_temporary_type;
Chris@101:         typedef self_type matrix_temporary_type;
Chris@101:         typedef dense_tag storage_category;
Chris@101:         // This could be better for performance,
Chris@101:         // typedef typename unknown_orientation_tag orientation_category;
Chris@101:         // but others depend on the orientation information...
Chris@101:         typedef typename L::orientation_category orientation_category;
Chris@101: 
Chris@101:         // Construction and destruction
Chris@101: 
Chris@101:       /// Default dense fixed_matrix constructor. Make a dense fixed_matrix of size M x N
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix ():
Chris@101:             matrix_container<self_type> (),
Chris@101:             data_ () {}
Chris@101: 
Chris@101:         /// \brief Construct a fixed_matrix from a list of values
Chris@101:         /// The list may be included in curly braces. Typical syntax is choices are :
Chris@101:         /// fixed_matrix<double, 2,2> v = { 1, 2, 3, 4 } or fixed_matrix<double,4> v( {1, 2, 3, 4} ) or fixed_matrix<double,2,2> v( 1, 2, 3, 4 )
Chris@101:         template <typename... Types>
Chris@101:         fixed_matrix(value_type v0, Types... vrest) :
Chris@101:             matrix_container<self_type> (),
Chris@101:             data_{ { v0, vrest... } } {}
Chris@101: 
Chris@101:       /** Dense fixed_matrix constructor with defined initial value for all the matrix elements
Chris@101:        * \param init initial value assigned to all elements
Chris@101:        */
Chris@101:         fixed_matrix (const value_type &init):
Chris@101:             matrix_container<self_type> (),
Chris@101:             data_ ( ) {
Chris@101:             data_.fill(init);
Chris@101:         }
Chris@101: 
Chris@101:       /** Dense matrix constructor with defined initial data array
Chris@101:        * \param data array to copy into the matrix. Must have the same dimension as the matrix
Chris@101:        */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix (const array_type &data):
Chris@101:             matrix_container<self_type> (),
Chris@101:             data_ (data) {}
Chris@101: 
Chris@101:       /** Copy-constructor of a dense fixed_matrix
Chris@101:        * \param m is a dense fixed_matrix
Chris@101:        */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix (const fixed_matrix &m):
Chris@101:             matrix_container<self_type> (),
Chris@101:             data_ (m.data_) {}
Chris@101: 
Chris@101:       /** Copy-constructor of a dense matrix from a matrix expression
Chris@101:        * \param ae is a matrix expression
Chris@101:        */
Chris@101:         template<class AE>
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix (const matrix_expression<AE> &ae):
Chris@101:             matrix_container<self_type> (),
Chris@101:             data_ () {
Chris@101:             matrix_assign<scalar_assign> (*this, ae);
Chris@101:         }
Chris@101: 
Chris@101:         // Accessors
Chris@101:       /** Return the number of rows of the fixed_matrix
Chris@101:        * You can also use the free size<>() function in operation/size.hpp as size<1>(m) where m is a fixed_matrix
Chris@101:        */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         BOOST_CONSTEXPR size_type size1 () const {
Chris@101:             return M;
Chris@101:         }
Chris@101: 
Chris@101:       /** Return the number of colums of the fixed_matrix
Chris@101:        * You can also use the free size<>() function in operation/size.hpp as size<2>(m) where m is a fixed_matrix
Chris@101:        */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         BOOST_CONSTEXPR size_type size2 () const {
Chris@101:             return N;
Chris@101:         }
Chris@101: 
Chris@101:         // Storage accessors
Chris@101:       /** Return a constant reference to the internal storage of a dense matrix, i.e. the raw data
Chris@101:        * It's type depends on the type used by the matrix to store its data
Chris@101:        */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const array_type &data () const {
Chris@101:             return data_;
Chris@101:         }
Chris@101:       /** Return a reference to the internal storage of a dense fixed_matrix, i.e. the raw data
Chris@101:        * It's type depends on the type used by the fixed_matrix to store its data
Chris@101:        */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         array_type &data () {
Chris@101:             return data_;
Chris@101:         }
Chris@101: 
Chris@101: 
Chris@101:         // Element access
Chris@101: 
Chris@101:     /** Access a fixed_matrix element. Here we return a const reference
Chris@101:      * \param i the first coordinate of the element. By default it's the row
Chris@101:      * \param j the second coordinate of the element. By default it's the column
Chris@101:      * \return a const reference to the element
Chris@101:      */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reference operator () (size_type i, size_type j) const {
Chris@101:             return data () [layout_type::element (i, M, j, N)]; // Fixme: add static lookup for element(...) i.e.: element<M, N>(i,j)
Chris@101:         }
Chris@101: 
Chris@101:     /** Access a fixed_matrix element. Here we return a reference
Chris@101:      * \param i the first coordinate of the element. By default it's the row
Chris@101:      * \param j the second coordinate of the element. By default it's the column
Chris@101:      * \return a reference to the element
Chris@101:      */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         reference at_element (size_type i, size_type j) {
Chris@101:             return data () [layout_type::element (i, M, j, N)];
Chris@101:         }
Chris@101: 
Chris@101:     /** Access a fixed_matrix element. Here we return a reference
Chris@101:      * \param i the first coordinate of the element. By default it's the row
Chris@101:      * \param j the second coordinate of the element. By default it's the column
Chris@101:      * \return a reference to the element
Chris@101:      */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         reference operator () (size_type i, size_type j) {
Chris@101:             return at_element (i, j);
Chris@101:         }
Chris@101: 
Chris@101:         // Element assignment
Chris@101: 
Chris@101:     /** Change the value of a fixed_matrix element. Return back a reference to it
Chris@101:      * \param i the first coordinate of the element. By default it's the row
Chris@101:      * \param j the second coordinate of the element. By default it's the column
Chris@101:      * \param t the new value of the element
Chris@101:      * \return a reference to the newly changed element
Chris@101:      */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         reference insert_element (size_type i, size_type j, const_reference t) {
Chris@101:             return (at_element (i, j) = t);
Chris@101:         }
Chris@101: 
Chris@101:     /** Erase the element
Chris@101:      * For most types (int, double, etc...) it means setting 0 (zero) the element at zero in fact.
Chris@101:      * For user-defined types, it could be another value if you decided it. Your type in that case must
Chris@101:      * contain a default null value.
Chris@101:      * \param i the first coordinate of the element. By default it's the row
Chris@101:      * \param j the second coordinate of the element. By default it's the column
Chris@101:      */
Chris@101:         void erase_element (size_type i, size_type j) {
Chris@101:             at_element (i, j) = value_type/*zero*/();
Chris@101:         }
Chris@101: 
Chris@101:         // Zeroing
Chris@101:     /** Erase all elements in the fixed_matrix
Chris@101:      * For most types (int, double, etc...) it means writing 0 (zero) everywhere.
Chris@101:      * For user-defined types, it could be another value if you decided it. Your type in that case must
Chris@101:      * contain a default null value.
Chris@101:      */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         void clear () {
Chris@101:             std::fill (data ().begin (), data ().end (), value_type/*zero*/());
Chris@101:         }
Chris@101: 
Chris@101:         // Assignment
Chris@101: #ifdef BOOST_UBLAS_MOVE_SEMANTICS
Chris@101: 
Chris@101:         /*! @note "pass by value" the key idea to enable move semantics */
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &operator = (matrix m) {
Chris@101:             assign_temporary(m);
Chris@101:             return *this;
Chris@101:         }
Chris@101: #else
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &operator = (const fixed_matrix &m) {
Chris@101:             data () = m.data ();
Chris@101:             return *this;
Chris@101:         }
Chris@101: #endif
Chris@101:         template<class C>          // Container assignment without temporary
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &operator = (const matrix_container<C> &m) {
Chris@101:             resize (m ().size1 (), m ().size2 (), false);
Chris@101:             assign (m);
Chris@101:             return *this;
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &assign_temporary (fixed_matrix &m) {
Chris@101:             swap (m);
Chris@101:             return *this;
Chris@101:         }
Chris@101:         template<class AE>
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &operator = (const matrix_expression<AE> &ae) {
Chris@101:             self_type temporary (ae);
Chris@101:             return assign_temporary (temporary);
Chris@101:         }
Chris@101:         template<class AE>
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &assign (const matrix_expression<AE> &ae) {
Chris@101:             matrix_assign<scalar_assign> (*this, ae);
Chris@101:             return *this;
Chris@101:         }
Chris@101:         template<class AE>
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix& operator += (const matrix_expression<AE> &ae) {
Chris@101:             self_type temporary (*this + ae);
Chris@101:             return assign_temporary (temporary);
Chris@101:         }
Chris@101:         template<class C>          // Container assignment without temporary
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &operator += (const matrix_container<C> &m) {
Chris@101:             plus_assign (m);
Chris@101:             return *this;
Chris@101:         }
Chris@101:         template<class AE>
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &plus_assign (const matrix_expression<AE> &ae) {
Chris@101:             matrix_assign<scalar_plus_assign> (*this, ae);
Chris@101:             return *this;
Chris@101:         }
Chris@101:         template<class AE>
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix& operator -= (const matrix_expression<AE> &ae) {
Chris@101:             self_type temporary (*this - ae);
Chris@101:             return assign_temporary (temporary);
Chris@101:         }
Chris@101:         template<class C>          // Container assignment without temporary
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &operator -= (const matrix_container<C> &m) {
Chris@101:             minus_assign (m);
Chris@101:             return *this;
Chris@101:         }
Chris@101:         template<class AE>
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix &minus_assign (const matrix_expression<AE> &ae) {
Chris@101:             matrix_assign<scalar_minus_assign> (*this, ae);
Chris@101:             return *this;
Chris@101:         }
Chris@101:         template<class AT>
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix& operator *= (const AT &at) {
Chris@101:             matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
Chris@101:             return *this;
Chris@101:         }
Chris@101:         template<class AT>
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         fixed_matrix& operator /= (const AT &at) {
Chris@101:             matrix_assign_scalar<scalar_divides_assign> (*this, at);
Chris@101:             return *this;
Chris@101:         }
Chris@101: 
Chris@101:         // Swapping
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         void swap (fixed_matrix &m) {
Chris@101:             if (this != &m) {
Chris@101:                 data ().swap (m.data ());
Chris@101:             }
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         friend void swap (fixed_matrix &m1, fixed_matrix &m2) {
Chris@101:             m1.swap (m2);
Chris@101:         }
Chris@101: 
Chris@101:         // Iterator types
Chris@101:     private:
Chris@101:         // Use the storage array iterator
Chris@101:         typedef typename A::const_iterator const_subiterator_type;
Chris@101:         typedef typename A::iterator subiterator_type;
Chris@101: 
Chris@101:     public:
Chris@101: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@101:         typedef indexed_iterator1<self_type, dense_random_access_iterator_tag> iterator1;
Chris@101:         typedef indexed_iterator2<self_type, dense_random_access_iterator_tag> iterator2;
Chris@101:         typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
Chris@101:         typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
Chris@101: #else
Chris@101:         class const_iterator1;
Chris@101:         class iterator1;
Chris@101:         class const_iterator2;
Chris@101:         class iterator2;
Chris@101: #endif
Chris@101:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@101:         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
Chris@101:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@101:         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
Chris@101: 
Chris@101:         // Element lookup
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 find1 (int /* rank */, size_type i, size_type j) const {
Chris@101: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@101:             return const_iterator1 (*this, i, j);
Chris@101: #else
Chris@101:             return const_iterator1 (*this, data ().begin () + layout_type::address (i, M, j, N));
Chris@101: #endif
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         iterator1 find1 (int /* rank */, size_type i, size_type j) {
Chris@101: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@101:             return iterator1 (*this, i, j);
Chris@101: #else
Chris@101:             return iterator1 (*this, data ().begin () + layout_type::address (i, M, j, N));
Chris@101: #endif
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 find2 (int /* rank */, size_type i, size_type j) const {
Chris@101: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@101:             return const_iterator2 (*this, i, j);
Chris@101: #else
Chris@101:             return const_iterator2 (*this, data ().begin () + layout_type::address (i, M, j, N));
Chris@101: #endif
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         iterator2 find2 (int /* rank */, size_type i, size_type j) {
Chris@101: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@101:             return iterator2 (*this, i, j);
Chris@101: #else
Chris@101:             return iterator2 (*this, data ().begin () + layout_type::address (i, M, j, N));
Chris@101: #endif
Chris@101:         }
Chris@101: 
Chris@101: 
Chris@101: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@101:         class const_iterator1:
Chris@101:             public container_const_reference<fixed_matrix>,
Chris@101:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@101:                                                const_iterator1, value_type> {
Chris@101:         public:
Chris@101:             typedef typename fixed_matrix::value_type value_type;
Chris@101:             typedef typename fixed_matrix::difference_type difference_type;
Chris@101:             typedef typename fixed_matrix::const_reference reference;
Chris@101:             typedef const typename fixed_matrix::pointer pointer;
Chris@101: 
Chris@101:             typedef const_iterator2 dual_iterator_type;
Chris@101:             typedef const_reverse_iterator2 dual_reverse_iterator_type;
Chris@101: 
Chris@101:             // Construction and destruction
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator1 ():
Chris@101:                 container_const_reference<self_type> (), it_ () {}
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator1 (const self_type &m, const const_subiterator_type &it):
Chris@101:                 container_const_reference<self_type> (m), it_ (it) {}
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator1 (const iterator1 &it):
Chris@101:                 container_const_reference<self_type> (it ()), it_ (it.it_) {}
Chris@101: 
Chris@101:             // Arithmetic
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator1 &operator ++ () {
Chris@101:                 layout_type::increment_i (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator1 &operator -- () {
Chris@101:                 layout_type::decrement_i (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator1 &operator += (difference_type n) {
Chris@101:                 layout_type::increment_i (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator1 &operator -= (difference_type n) {
Chris@101:                 layout_type::decrement_i (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             difference_type operator - (const const_iterator1 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return layout_type::distance_i (it_ - it.it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:             }
Chris@101: 
Chris@101:             // Dereference
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_reference operator * () const {
Chris@101:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@101:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@101:                 return *it_;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_reference operator [] (difference_type n) const {
Chris@101:                 return *(*this + n);
Chris@101:             }
Chris@101: 
Chris@101: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_iterator2 begin () const {
Chris@101:                 const self_type &m = (*this) ();
Chris@101:                 return m.find2 (1, index1 (), 0);
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_iterator2 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_iterator2 end () const {
Chris@101:                 const self_type &m = (*this) ();
Chris@101:                 return m.find2 (1, index1 (), m.size2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 rbegin () const {
Chris@101:                 return const_reverse_iterator2 (end ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 rend () const {
Chris@101:                 return const_reverse_iterator2 (begin ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@101: #endif
Chris@101: 
Chris@101:             // Indices
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             size_type index1 () const {
Chris@101:                 const self_type &m = (*this) ();
Chris@101:                 return layout_type::index_i (it_ - m.begin1 ().it_, m.size1 (), m.size2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             size_type index2 () const {
Chris@101:                 const self_type &m = (*this) ();
Chris@101:                 return layout_type::index_j (it_ - m.begin1 ().it_, m.size1 (), m.size2 ());
Chris@101:             }
Chris@101: 
Chris@101:             // Assignment
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@101:                 container_const_reference<self_type>::assign (&it ());
Chris@101:                 it_ = it.it_;
Chris@101:                 return *this;
Chris@101:             }
Chris@101: 
Chris@101:             // Comparison
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             bool operator == (const const_iterator1 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return it_ == it.it_;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             bool operator < (const const_iterator1 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return it_ < it.it_;
Chris@101:             }
Chris@101: 
Chris@101:         private:
Chris@101:             const_subiterator_type it_;
Chris@101: 
Chris@101:             friend class iterator1;
Chris@101:         };
Chris@101: #endif
Chris@101: 
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 begin1 () const {
Chris@101:             return find1 (0, 0, 0);
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 end1 () const {
Chris@101:             return find1 (0, M, 0);
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@101: 
Chris@101: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@101:         class iterator1:
Chris@101:             public container_reference<fixed_matrix>,
Chris@101:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@101:                                                iterator1, value_type> {
Chris@101:         public:
Chris@101:             typedef typename fixed_matrix::value_type value_type;
Chris@101:             typedef typename fixed_matrix::difference_type difference_type;
Chris@101:             typedef typename fixed_matrix::reference reference;
Chris@101:             typedef typename fixed_matrix::pointer pointer;
Chris@101: 
Chris@101:             typedef iterator2 dual_iterator_type;
Chris@101:             typedef reverse_iterator2 dual_reverse_iterator_type;
Chris@101: 
Chris@101:             // Construction and destruction
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator1 ():
Chris@101:                 container_reference<self_type> (), it_ () {}
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator1 (self_type &m, const subiterator_type &it):
Chris@101:                 container_reference<self_type> (m), it_ (it) {}
Chris@101: 
Chris@101:             // Arithmetic
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator1 &operator ++ () {
Chris@101:                 layout_type::increment_i (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator1 &operator -- () {
Chris@101:                 layout_type::decrement_i (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator1 &operator += (difference_type n) {
Chris@101:                 layout_type::increment_i (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator1 &operator -= (difference_type n) {
Chris@101:                 layout_type::decrement_i (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             difference_type operator - (const iterator1 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return layout_type::distance_i (it_ - it.it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:             }
Chris@101: 
Chris@101:             // Dereference
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             reference operator * () const {
Chris@101:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@101:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@101:                 return *it_;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             reference operator [] (difference_type n) const {
Chris@101:                 return *(*this + n);
Chris@101:             }
Chris@101: 
Chris@101: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             iterator2 begin () const {
Chris@101:                 self_type &m = (*this) ();
Chris@101:                 return m.find2 (1, index1 (), 0);
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             iterator2 end () const {
Chris@101:                 self_type &m = (*this) ();
Chris@101:                 return m.find2 (1, index1 (), m.size2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             reverse_iterator2 rbegin () const {
Chris@101:                 return reverse_iterator2 (end ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             reverse_iterator2 rend () const {
Chris@101:                 return reverse_iterator2 (begin ());
Chris@101:             }
Chris@101: #endif
Chris@101: 
Chris@101:             // Indices
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             size_type index1 () const {
Chris@101:                 self_type &m = (*this) ();
Chris@101:                 return layout_type::index_i (it_ - m.begin1 ().it_, m.size1 (), m.size2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             size_type index2 () const {
Chris@101:                 self_type &m = (*this) ();
Chris@101:                 return layout_type::index_j (it_ - m.begin1 ().it_, m.size1 (), m.size2 ());
Chris@101:             }
Chris@101: 
Chris@101:             // Assignment
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator1 &operator = (const iterator1 &it) {
Chris@101:                 container_reference<self_type>::assign (&it ());
Chris@101:                 it_ = it.it_;
Chris@101:                 return *this;
Chris@101:             }
Chris@101: 
Chris@101:             // Comparison
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             bool operator == (const iterator1 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return it_ == it.it_;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             bool operator < (const iterator1 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return it_ < it.it_;
Chris@101:             }
Chris@101: 
Chris@101:         private:
Chris@101:             subiterator_type it_;
Chris@101: 
Chris@101:             friend class const_iterator1;
Chris@101:         };
Chris@101: #endif
Chris@101: 
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         iterator1 begin1 () {
Chris@101:             return find1 (0, 0, 0);
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         iterator1 end1 () {
Chris@101:             return find1 (0, M, 0);
Chris@101:         }
Chris@101: 
Chris@101: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@101:         class const_iterator2:
Chris@101:             public container_const_reference<fixed_matrix>,
Chris@101:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@101:                                                const_iterator2, value_type> {
Chris@101:         public:
Chris@101:             typedef typename fixed_matrix::value_type value_type;
Chris@101:             typedef typename fixed_matrix::difference_type difference_type;
Chris@101:             typedef typename fixed_matrix::const_reference reference;
Chris@101:             typedef const typename fixed_matrix::pointer pointer;
Chris@101: 
Chris@101:             typedef const_iterator1 dual_iterator_type;
Chris@101:             typedef const_reverse_iterator1 dual_reverse_iterator_type;
Chris@101: 
Chris@101:             // Construction and destruction
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator2 ():
Chris@101:                 container_const_reference<self_type> (), it_ () {}
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator2 (const self_type &m, const const_subiterator_type &it):
Chris@101:                 container_const_reference<self_type> (m), it_ (it) {}
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator2 (const iterator2 &it):
Chris@101:                 container_const_reference<self_type> (it ()), it_ (it.it_) {}
Chris@101: 
Chris@101:             // Arithmetic
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator2 &operator ++ () {
Chris@101:                 layout_type::increment_j (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator2 &operator -- () {
Chris@101:                 layout_type::decrement_j (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator2 &operator += (difference_type n) {
Chris@101:                 layout_type::increment_j (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator2 &operator -= (difference_type n) {
Chris@101:                 layout_type::decrement_j (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             difference_type operator - (const const_iterator2 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return layout_type::distance_j (it_ - it.it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:             }
Chris@101: 
Chris@101:             // Dereference
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_reference operator * () const {
Chris@101:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@101:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@101:                 return *it_;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_reference operator [] (difference_type n) const {
Chris@101:                 return *(*this + n);
Chris@101:             }
Chris@101: 
Chris@101: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_iterator1 begin () const {
Chris@101:                 const self_type &m = (*this) ();
Chris@101:                 return m.find1 (1, 0, index2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_iterator1 end () const {
Chris@101:                 const self_type &m = (*this) ();
Chris@101:                 return m.find1 (1, m.size1 (), index2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 rbegin () const {
Chris@101:                 return const_reverse_iterator1 (end ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 rend () const {
Chris@101:                 return const_reverse_iterator1 (begin ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@101: #endif
Chris@101: 
Chris@101:             // Indices
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             size_type index1 () const {
Chris@101:                 const self_type &m = (*this) ();
Chris@101:                 return layout_type::index_i (it_ - m.begin2 ().it_, m.size1 (), m.size2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             size_type index2 () const {
Chris@101:                 const self_type &m = (*this) ();
Chris@101:                 return layout_type::index_j (it_ - m.begin2 ().it_, m.size1 (), m.size2 ());
Chris@101:             }
Chris@101: 
Chris@101:             // Assignment
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@101:                 container_const_reference<self_type>::assign (&it ());
Chris@101:                 it_ = it.it_;
Chris@101:                 return *this;
Chris@101:             }
Chris@101: 
Chris@101:             // Comparison
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             bool operator == (const const_iterator2 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return it_ == it.it_;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             bool operator < (const const_iterator2 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return it_ < it.it_;
Chris@101:             }
Chris@101: 
Chris@101:         private:
Chris@101:             const_subiterator_type it_;
Chris@101: 
Chris@101:             friend class iterator2;
Chris@101:         };
Chris@101: #endif
Chris@101: 
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 begin2 () const {
Chris@101:             return find2 (0, 0, 0);
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 end2 () const {
Chris@101:             return find2 (0, 0, N);
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@101: 
Chris@101: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@101:         class iterator2:
Chris@101:             public container_reference<fixed_matrix>,
Chris@101:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@101:                                                iterator2, value_type> {
Chris@101:         public:
Chris@101:             typedef typename fixed_matrix::value_type value_type;
Chris@101:             typedef typename fixed_matrix::difference_type difference_type;
Chris@101:             typedef typename fixed_matrix::reference reference;
Chris@101:             typedef typename fixed_matrix::pointer pointer;
Chris@101: 
Chris@101:             typedef iterator1 dual_iterator_type;
Chris@101:             typedef reverse_iterator1 dual_reverse_iterator_type;
Chris@101: 
Chris@101:             // Construction and destruction
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator2 ():
Chris@101:                 container_reference<self_type> (), it_ () {}
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator2 (self_type &m, const subiterator_type &it):
Chris@101:                 container_reference<self_type> (m), it_ (it) {}
Chris@101: 
Chris@101:             // Arithmetic
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator2 &operator ++ () {
Chris@101:                 layout_type::increment_j (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator2 &operator -- () {
Chris@101:                 layout_type::decrement_j (it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator2 &operator += (difference_type n) {
Chris@101:                 layout_type::increment_j (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator2 &operator -= (difference_type n) {
Chris@101:                 layout_type::decrement_j (it_, n, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:                 return *this;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             difference_type operator - (const iterator2 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return layout_type::distance_j (it_ - it.it_, (*this) ().size1 (), (*this) ().size2 ());
Chris@101:             }
Chris@101: 
Chris@101:             // Dereference
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             reference operator * () const {
Chris@101:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@101:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@101:                 return *it_;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             reference operator [] (difference_type n) const {
Chris@101:                 return *(*this + n);
Chris@101:             }
Chris@101: 
Chris@101: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             iterator1 begin () const {
Chris@101:                 self_type &m = (*this) ();
Chris@101:                 return m.find1 (1, 0, index2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             iterator1 end () const {
Chris@101:                 self_type &m = (*this) ();
Chris@101:                 return m.find1 (1, m.size1 (), index2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             reverse_iterator1 rbegin () const {
Chris@101:                 return reverse_iterator1 (end ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             reverse_iterator1 rend () const {
Chris@101:                 return reverse_iterator1 (begin ());
Chris@101:             }
Chris@101: #endif
Chris@101: 
Chris@101:             // Indices
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             size_type index1 () const {
Chris@101:                 self_type &m = (*this) ();
Chris@101:                 return layout_type::index_i (it_ - m.begin2 ().it_, m.size1 (), m.size2 ());
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             size_type index2 () const {
Chris@101:                 self_type &m = (*this) ();
Chris@101:                 return layout_type::index_j (it_ - m.begin2 ().it_, m.size1 (), m.size2 ());
Chris@101:             }
Chris@101: 
Chris@101:             // Assignment
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             iterator2 &operator = (const iterator2 &it) {
Chris@101:                 container_reference<self_type>::assign (&it ());
Chris@101:                 it_ = it.it_;
Chris@101:                 return *this;
Chris@101:             }
Chris@101: 
Chris@101:             // Comparison
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             bool operator == (const iterator2 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return it_ == it.it_;
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101:             bool operator < (const iterator2 &it) const {
Chris@101:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@101:                 return it_ < it.it_;
Chris@101:             }
Chris@101: 
Chris@101:         private:
Chris@101:             subiterator_type it_;
Chris@101: 
Chris@101:             friend class const_iterator2;
Chris@101:         };
Chris@101: #endif
Chris@101: 
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         iterator2 begin2 () {
Chris@101:             return find2 (0, 0, 0);
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         iterator2 end2 () {
Chris@101:             return find2 (0, 0, N);
Chris@101:         }
Chris@101: 
Chris@101:         // Reverse iterators
Chris@101: 
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 rbegin1 () const {
Chris@101:             return const_reverse_iterator1 (end1 ());
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 rend1 () const {
Chris@101:             return const_reverse_iterator1 (begin1 ());
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@101: 
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         reverse_iterator1 rbegin1 () {
Chris@101:             return reverse_iterator1 (end1 ());
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         reverse_iterator1 rend1 () {
Chris@101:             return reverse_iterator1 (begin1 ());
Chris@101:         }
Chris@101: 
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 rbegin2 () const {
Chris@101:             return const_reverse_iterator2 (end2 ());
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 rend2 () const {
Chris@101:             return const_reverse_iterator2 (begin2 ());
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@101: 
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         reverse_iterator2 rbegin2 () {
Chris@101:             return reverse_iterator2 (end2 ());
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         reverse_iterator2 rend2 () {
Chris@101:             return reverse_iterator2 (begin2 ());
Chris@101:         }
Chris@101: 
Chris@101:         // Serialization
Chris@101:         template<class Archive>
Chris@101:         void serialize(Archive & ar, const unsigned int /* file_version */){
Chris@101:             ar & serialization::make_nvp("data",data_);
Chris@101:         }
Chris@101: 
Chris@101:     private:
Chris@101:         array_type data_;
Chris@101:     };
Chris@101: 
Chris@101: #endif // BOOST_UBLAS_CPP_GE_2011
Chris@101: 
Chris@16:     /** \brief A dense matrix of values of type \c T with a variable size bounded to a maximum of \f$M\f$ by \f$N\f$. 
Chris@16:      *
Chris@16:      * For a \f$(m \times n)\f$-dimensional matrix and \f$ 0 \leq i < m, 0 \leq j < n\f$, every element \f$m_{i,j}\f$ is mapped
Chris@16:      * to the \f$(i.n + j)\f$-th element of the container for row major orientation or the \f$(i + j.m)\f$-th element
Chris@16:      * of the container for column major orientation. Finally in a dense matrix all elements are represented in memory 
Chris@16:      * in a contiguous chunk of memory.
Chris@16:      *
Chris@16:      * Orientation can be specified. Default is \c row_major
Chris@16:      * The default constructor creates the matrix with size \f$M\f$ by \f$N\f$. Elements are constructed by the storage 
Chris@16:      * type \c bounded_array, which need not initialise their value.
Chris@16:      *
Chris@16:      * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
Chris@16:      * \tparam M maximum and default number of rows (if not specified at construction)
Chris@16:      * \tparam N maximum and default number of columns (if not specified at construction)
Chris@16:      * \tparam L the storage organization. It can be either \c row_major or \c column_major. Default is \c row_major
Chris@16:      */
Chris@16:     template<class T, std::size_t M, std::size_t N, class L>
Chris@16:     class bounded_matrix:
Chris@16:         public matrix<T, L, bounded_array<T, M * N> > {
Chris@16: 
Chris@16:         typedef matrix<T, L, bounded_array<T, M * N> > matrix_type;
Chris@16:     public:
Chris@16:         typedef typename matrix_type::size_type size_type;
Chris@16:         static const size_type max_size1 = M;
Chris@16:         static const size_type max_size2 = N;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix ():
Chris@16:             matrix_type (M, N) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix (size_type size1, size_type size2):
Chris@16:             matrix_type (size1, size2) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix (const bounded_matrix &m):
Chris@16:             matrix_type (m) {}
Chris@16:         template<class A2>              // Allow matrix<T, L, bounded_array<M,N> > construction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix (const matrix<T, L, A2> &m):
Chris@16:             matrix_type (m) {}
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix (const matrix_expression<AE> &ae):
Chris@16:             matrix_type (ae) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         ~bounded_matrix () {}
Chris@16: 
Chris@16:         // Assignment
Chris@16: #ifdef BOOST_UBLAS_MOVE_SEMANTICS
Chris@16: 
Chris@16:         /*! @note "pass by value" the key idea to enable move semantics */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix &operator = (bounded_matrix m) {
Chris@16:             matrix_type::operator = (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16: #else
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix &operator = (const bounded_matrix &m) {
Chris@16:             matrix_type::operator = (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16: #endif
Chris@16:         template<class L2, class A2>        // Generic matrix assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix &operator = (const matrix<T, L2, A2> &m) {
Chris@16:             matrix_type::operator = (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix &operator = (const matrix_container<C> &m) {
Chris@16:             matrix_type::operator = (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bounded_matrix &operator = (const matrix_expression<AE> &ae) {
Chris@16:             matrix_type::operator = (ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:     };
Chris@16: 
Chris@101: 
Chris@16:     /** \brief A dense matrix of values of type \c T stored as a vector of vectors.
Chris@16:     *
Chris@16:     * Rows or columns are not stored into contiguous chunks of memory but data inside rows (or columns) are. 
Chris@16:     * Orientation and storage can also be specified, otherwise a row major and unbounded arrays are used.
Chris@16:     * The data is stored as a vector of vectors, meaning that rows or columns might not be stored into contiguous chunks
Chris@16:     * of memory. Orientation and storage can also be specified, otherwise a row major and unbounded arrays are used. 
Chris@16:     * The storage type defaults to \c unbounded_array<unbounded_array<T>> and orientation is \c row_major. It is \b not 
Chris@16:     * required by the storage to initialize elements of the matrix. For a \f$(m \times n)\f$-dimensional matrix and 
Chris@16:     * \f$ 0 \leq i < m, 0 \leq j < n\f$, every element \f$m_{i,j}\f$ is mapped to the \f$(i.n + j)\f$-th element of the 
Chris@16:     * container for row major orientation or the \f$(i + j.m)\f$-th element of the container for column major orientation.
Chris@16:     *
Chris@16:     * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
Chris@16:     * \tparam L the storage organization. It can be either \c row_major or \c column_major. By default it is \c row_major
Chris@16:     * \tparam A the type of Storage array. By default, it is an \unbounded_array<unbounder_array<T>>
Chris@16:     */
Chris@16:     template<class T, class L, class A>
Chris@16:     class vector_of_vector:
Chris@16:         public matrix_container<vector_of_vector<T, L, A> > {
Chris@16: 
Chris@16:         typedef T *pointer;
Chris@16:         typedef L layout_type;
Chris@16:         typedef vector_of_vector<T, L, A> self_type;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_container<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef typename A::size_type size_type;
Chris@16:         typedef typename A::difference_type difference_type;
Chris@16:         typedef T value_type;
Chris@16:         typedef const T &const_reference;
Chris@16:         typedef T &reference;
Chris@16:         typedef A array_type;
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef vector<T, typename A::value_type> vector_temporary_type;
Chris@16:         typedef self_type matrix_temporary_type;
Chris@16:         typedef dense_tag storage_category;
Chris@16:         // This could be better for performance,
Chris@16:         // typedef typename unknown_orientation_tag orientation_category;
Chris@16:         // but others depend on the orientation information...
Chris@16:         typedef typename L::orientation_category orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (0), size2_ (0), data_ (1) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector (size_type size1, size_type size2):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), data_ (1) {
Chris@16:             resize (size1, size2, true);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector (const vector_of_vector &m):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (m.size1_), size2_ (m.size2_), data_ (m.data_) {}
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector (const matrix_expression<AE> &ae):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (ae ().size1 ()), size2_ (ae ().size2 ()), data_ (layout_type::size_M (size1_, size2_) + 1) {
Chris@16:             for (size_type k = 0; k < layout_type::size_M (size1_, size2_); ++ k)
Chris@16:                 data ()[k].resize (layout_type::size_m (size1_, size2_));
Chris@16:             matrix_assign<scalar_assign> (*this, ae);
Chris@16:         }
Chris@16: 
Chris@16:         // Accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return size1_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const { 
Chris@16:             return size2_;
Chris@16:         }
Chris@16: 
Chris@16:         // Storage accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const array_type &data () const {
Chris@16:             return data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         array_type &data () {
Chris@16:             return data_;
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool preserve = true) {
Chris@16:             size1_ = size1;
Chris@16:             size2_ = size2;
Chris@16:             if (preserve)
Chris@16:                 data ().resize (layout_type::size_M (size1, size2) + 1, typename array_type::value_type ());
Chris@16:             else
Chris@16:                 data ().resize (layout_type::size_M (size1, size2) + 1);
Chris@16:             for (size_type k = 0; k < layout_type::size_M (size1, size2); ++ k) {
Chris@16:                 if (preserve)
Chris@16:                     data () [k].resize (layout_type::size_m (size1, size2), value_type ());
Chris@16:                 else
Chris@16:                     data () [k].resize (layout_type::size_m (size1, size2));
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type i, size_type j) const {
Chris@16:             return data () [layout_type::index_M (i, j)] [layout_type::index_m (i, j)];
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference at_element (size_type i, size_type j) {
Chris@16:             return data () [layout_type::index_M (i, j)] [layout_type::index_m (i, j)];
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16:             return at_element (i, j); 
Chris@16:         }
Chris@16: 
Chris@16:         // Element assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference insert_element (size_type i, size_type j, const_reference t) {
Chris@16:             return (at_element (i, j) = t); 
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void erase_element (size_type i, size_type j) {
Chris@16:             at_element (i, j) = value_type/*zero*/(); 
Chris@16:         }
Chris@16:         
Chris@16:         // Zeroing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void clear () {
Chris@16:             for (size_type k = 0; k < layout_type::size_M (size1_, size2_); ++ k)
Chris@16:                 std::fill (data () [k].begin (), data () [k].end (), value_type/*zero*/());
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector &operator = (const vector_of_vector &m) {
Chris@16:             size1_ = m.size1_;
Chris@16:             size2_ = m.size2_;
Chris@16:             data () = m.data ();
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector &assign_temporary (vector_of_vector &m) { 
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector &operator = (const matrix_expression<AE> &ae) { 
Chris@16:             self_type temporary (ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector &operator = (const matrix_container<C> &m) {
Chris@16:             resize (m ().size1 (), m ().size2 (), false);
Chris@16:             assign (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector &assign (const matrix_expression<AE> &ae) { 
Chris@16:             matrix_assign<scalar_assign> (*this, ae); 
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector& operator += (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this + ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector &operator += (const matrix_container<C> &m) {
Chris@16:             plus_assign (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector &plus_assign (const matrix_expression<AE> &ae) { 
Chris@16:             matrix_assign<scalar_plus_assign> (*this, ae); 
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this - ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector &operator -= (const matrix_container<C> &m) {
Chris@16:             minus_assign (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector &minus_assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_minus_assign> (*this, ae); 
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector& operator *= (const AT &at) {
Chris@16:             matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         vector_of_vector& operator /= (const AT &at) {
Chris@16:             matrix_assign_scalar<scalar_divides_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (vector_of_vector &m) {
Chris@16:             if (this != &m) {
Chris@16:                 std::swap (size1_, m.size1_);
Chris@16:                 std::swap (size2_, m.size2_);
Chris@16:                 data ().swap (m.data ());
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (vector_of_vector &m1, vector_of_vector &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use the vector iterator
Chris@16:         typedef typename A::value_type::const_iterator const_subiterator_type;
Chris@16:         typedef typename A::value_type::iterator subiterator_type;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         typedef indexed_iterator1<self_type, dense_random_access_iterator_tag> iterator1;
Chris@16:         typedef indexed_iterator2<self_type, dense_random_access_iterator_tag> iterator2;
Chris@16:         typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
Chris@16:         typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
Chris@16: #else
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
Chris@16: #endif
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16:         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 find1 (int /*rank*/, size_type i, size_type j) const {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return const_iterator1 (*this, i, j);
Chris@16: #else
Chris@16:             return const_iterator1 (*this, i, j, data () [layout_type::index_M (i, j)].begin ()  + layout_type::index_m (i, j));
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 find1 (int /*rank*/, size_type i, size_type j) {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return iterator1 (*this, i, j);
Chris@16: #else
Chris@16:             return iterator1 (*this, i, j, data () [layout_type::index_M (i, j)].begin ()  + layout_type::index_m (i, j));
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 find2 (int /*rank*/, size_type i, size_type j) const {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return const_iterator2 (*this, i, j);
Chris@16: #else
Chris@16:             return const_iterator2 (*this, i, j, data () [layout_type::index_M (i, j)].begin ()  + layout_type::index_m (i, j));
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 find2 (int /*rank*/, size_type i, size_type j) {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return iterator2 (*this, i, j);
Chris@16: #else
Chris@16:             return iterator2 (*this, i, j, data () [layout_type::index_M (i, j)].begin () + layout_type::index_m (i, j));
Chris@16: #endif
Chris@16:         }
Chris@16: 
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<vector_of_vector>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename vector_of_vector::value_type value_type;
Chris@16:             typedef typename vector_of_vector::difference_type difference_type;
Chris@16:             typedef typename vector_of_vector::const_reference reference;
Chris@16:             typedef const typename vector_of_vector::pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator2 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 ():
Chris@16:                 container_const_reference<self_type> (), i_ (), j_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, size_type i, size_type j, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), i_ (i), j_ (j), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()), i_ (it.i_), j_ (it.j_), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 ++ i_;
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 if (layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else 
Chris@16:                     it_ = m.find1 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 -- i_;
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 if (layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else
Chris@16:                     it_ = m.find1 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator += (difference_type n) {
Chris@16:                 i_ += n;
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 it_ = m.find1 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -= (difference_type n) {
Chris@16:                 i_ -= n;
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 it_ = m.find1 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () == it.index2 (), bad_index ());
Chris@16:                 return index1 () - it.index1 ();
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator2 end () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return i_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return j_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () == it.index2 (), bad_index ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () == it.index2 (), bad_index ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             const_subiterator_type it_;
Chris@16: 
Chris@16:             friend class iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return find1 (0, size1_, 0);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator1:
Chris@16:             public container_reference<vector_of_vector>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename vector_of_vector::value_type value_type;
Chris@16:             typedef typename vector_of_vector::difference_type difference_type;
Chris@16:             typedef typename vector_of_vector::reference reference;
Chris@16:             typedef typename vector_of_vector::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator2 dual_iterator_type;
Chris@16:             typedef reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 ():
Chris@16:                 container_reference<self_type> (), i_ (), j_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, size_type i, size_type j, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), i_ (i), j_ (j), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 ++ i_;
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 if (layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else
Chris@16:                     it_ = m.find1 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 -- i_;
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 if (layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else
Chris@16:                     it_ = m.find1 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator += (difference_type n) {
Chris@16:                 i_ += n;
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 it_ = m.find1 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -= (difference_type n) {
Chris@16:                 i_ -= n;
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 it_ = m.find1 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () == it.index2 (), bad_index ());
Chris@16:                 return index1 () - it.index1 ();
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 begin () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 end () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rbegin () const {
Chris@16:                 return reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rend () const {
Chris@16:                 return reverse_iterator2 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return i_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return j_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator = (const iterator1 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () == it.index2 (), bad_index ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () == it.index2 (), bad_index ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 begin1 () {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 end1 () {
Chris@16:             return find1 (0, size1_, 0);
Chris@16:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<vector_of_vector>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename vector_of_vector::value_type value_type;
Chris@16:             typedef typename vector_of_vector::difference_type difference_type;
Chris@16:             typedef typename vector_of_vector::const_reference reference;
Chris@16:             typedef const typename vector_of_vector::pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator1 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 ():
Chris@16:                 container_const_reference<self_type> (), i_ (), j_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, size_type i, size_type j, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), i_ (i), j_ (j), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()), i_ (it.i_), j_ (it.j_), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 ++ j_;
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 if (layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else
Chris@16:                     it_ = m.find2 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 -- j_;
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 if (layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else
Chris@16:                     it_ = m.find2 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator += (difference_type n) {
Chris@16:                 j_ += n;
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 it_ = m.find2 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -= (difference_type n) {
Chris@16:                 j_ -= n;
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 it_ = m.find2 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index1 () == it.index1 (), bad_index ());
Chris@16:                 return index2 () - it.index2 ();
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, 0, index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator1 end () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, m.size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rbegin () const {
Chris@16:                 return const_reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return i_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return j_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index1 () == it.index1 (), bad_index ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index1 () == it.index1 (), bad_index ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             const_subiterator_type it_;
Chris@16: 
Chris@16:             friend class iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator2:
Chris@16:             public container_reference<vector_of_vector>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename vector_of_vector::value_type value_type;
Chris@16:             typedef typename vector_of_vector::difference_type difference_type;
Chris@16:             typedef typename vector_of_vector::reference reference;
Chris@16:             typedef typename vector_of_vector::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator1 dual_iterator_type;
Chris@16:             typedef reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 ():
Chris@16:                 container_reference<self_type> (), i_ (), j_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, size_type i, size_type j, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), i_ (i), j_ (j), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 ++ j_;
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 if (layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else
Chris@16:                     it_ = m.find2 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 -- j_;
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 if (layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else
Chris@16:                     it_ = m.find2 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator += (difference_type n) {
Chris@16:                 j_ += n;
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 it_ = m.find2 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -= (difference_type n) {
Chris@16:                 j_ -= n;
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 it_ = m.find2 (1, i_, j_).it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index1 () == it.index1 (), bad_index ());
Chris@16:                 return index2 () - it.index2 ();
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 begin () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, 0, index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 end () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, m.size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rbegin () const {
Chris@16:                 return reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rend () const {
Chris@16:                 return reverse_iterator1 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return i_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return j_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator = (const iterator2 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index1 () == it.index1 (), bad_index ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (index1 () == it.index1 (), bad_index ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 begin2 () {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 end2 () {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rbegin1 () {
Chris@16:             return reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rend1 () {
Chris@16:             return reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rbegin2 () {
Chris@16:             return reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rend2 () {
Chris@16:             return reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@16: 
Chris@16:         // Serialization
Chris@16:         template<class Archive>
Chris@16:         void serialize(Archive & ar, const unsigned int /* file_version */){
Chris@16:         
Chris@16:             // we need to copy to a collection_size_type to get a portable
Chris@16:             // and efficient serialization
Chris@16:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:           
Chris@16:             // serialize the sizes
Chris@16:             ar & serialization::make_nvp("size1",s1)
Chris@16:                & serialization::make_nvp("size2",s2);
Chris@16: 
Chris@16:             // copy the values back if loading
Chris@16:             if (Archive::is_loading::value) {
Chris@16:                 size1_ = s1;
Chris@16:                 size2_ = s2;
Chris@16:             }
Chris@16:             ar & serialization::make_nvp("data",data_);
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         size_type size1_;
Chris@16:         size_type size2_;
Chris@16:         array_type data_;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     /** \brief A matrix with all values of type \c T equal to zero
Chris@16:      *
Chris@16:      * Changing values does not affect the matrix, however assigning it to a normal matrix will put zero 
Chris@16:      * everywhere in the target matrix. All accesses are constant time, due to the trivial value.
Chris@16:      *
Chris@16:      * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
Chris@16:      * \tparam ALLOC an allocator for storing the zero element. By default, a standar allocator is used.
Chris@16:      */
Chris@16:     template<class T, class ALLOC>
Chris@16:     class zero_matrix:
Chris@16:         public matrix_container<zero_matrix<T, ALLOC> > {
Chris@16: 
Chris@16:         typedef const T *const_pointer;
Chris@16:         typedef zero_matrix<T, ALLOC> self_type;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_container<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef typename ALLOC::size_type size_type;
Chris@16:         typedef typename ALLOC::difference_type difference_type;
Chris@16:         typedef T value_type;
Chris@16:         typedef const T &const_reference;
Chris@16:         typedef T &reference;
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef sparse_tag storage_category;
Chris@16:         typedef unknown_orientation_tag orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         zero_matrix ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (0), size2_ (0) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         zero_matrix (size_type size):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size), size2_ (size) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         zero_matrix (size_type size1, size_type size2):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         zero_matrix (const zero_matrix &m):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (m.size1_), size2_ (m.size2_) {}
Chris@16: 
Chris@16:         // Accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return size1_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const {
Chris@16:             return size2_;
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         void resize (size_type size, bool /*preserve*/ = true) {
Chris@16:             size1_ = size;
Chris@16:             size2_ = size;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool /*preserve*/ = true) {
Chris@16:             size1_ = size1;
Chris@16:             size2_ = size2;
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type /* i */, size_type /* j */) const {
Chris@16:             return zero_;
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         zero_matrix &operator = (const zero_matrix &m) {
Chris@16:             size1_ = m.size1_;
Chris@16:             size2_ = m.size2_;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         zero_matrix &assign_temporary (zero_matrix &m) {
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (zero_matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 std::swap (size1_, m.size1_);
Chris@16:                 std::swap (size2_, m.size2_);
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (zero_matrix &m1, zero_matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     public:
Chris@16:         class const_iterator1;
Chris@16:         class const_iterator2;
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 find1 (int /*rank*/, size_type /*i*/, size_type /*j*/) const {
Chris@16:             return const_iterator1 (*this);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 find2 (int /*rank*/, size_type /*i*/, size_type /*j*/) const {
Chris@16:             return const_iterator2 (*this);
Chris@16:         }
Chris@16: 
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<zero_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename zero_matrix::value_type value_type;
Chris@16:             typedef typename zero_matrix::difference_type difference_type;
Chris@16:             typedef typename zero_matrix::const_reference reference;
Chris@16:             typedef typename zero_matrix::const_pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator2 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 ():
Chris@16:                 container_const_reference<self_type> () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m):
Chris@16:                 container_const_reference<self_type> (m) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return zero_;   // arbitary return value
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 return const_iterator2 ((*this) ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator2 end () const {
Chris@16:                 return const_iterator2 ((*this) ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return 0;   // arbitary return value
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return 0;   // arbitary return value
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 detail::ignore_unused_variable_warning(it);
Chris@16:                 return true;
Chris@16:             }
Chris@16:         };
Chris@16: 
Chris@16:         typedef const_iterator1 iterator1;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return const_iterator1 (*this);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return const_iterator1 (*this);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<zero_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename zero_matrix::value_type value_type;
Chris@16:             typedef typename zero_matrix::difference_type difference_type;
Chris@16:             typedef typename zero_matrix::const_reference reference;
Chris@16:             typedef typename zero_matrix::const_pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator1 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 ():
Chris@16:                 container_const_reference<self_type> () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m):
Chris@16:                 container_const_reference<self_type> (m) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return zero_;   // arbitary return value
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 return const_iterator1 ((*this) ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator1 end () const {
Chris@16:                 return const_iterator1 ((*this) ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rbegin () const {
Chris@16:                 return const_reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return 0;   // arbitary return value
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK_FALSE (bad_index ());
Chris@16:                 return 0;   // arbitary return value
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 detail::ignore_unused_variable_warning(it);
Chris@16:                 return true;
Chris@16:             }
Chris@16:         };
Chris@16: 
Chris@16:         typedef const_iterator2 iterator2;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:          // Serialization
Chris@16:         template<class Archive>
Chris@16:         void serialize(Archive & ar, const unsigned int /* file_version */){
Chris@16:         
Chris@16:             // we need to copy to a collection_size_type to get a portable
Chris@16:             // and efficient serialization
Chris@16:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:           
Chris@16:             // serialize the sizes
Chris@16:             ar & serialization::make_nvp("size1",s1)
Chris@16:                & serialization::make_nvp("size2",s2);
Chris@16: 
Chris@16:             // copy the values back if loading
Chris@16:             if (Archive::is_loading::value) {
Chris@16:                 size1_ = s1;
Chris@16:                 size2_ = s2;
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         size_type size1_;
Chris@16:         size_type size2_;
Chris@16:         static const value_type zero_;
Chris@16:     };
Chris@16: 
Chris@16:     template<class T, class ALLOC>
Chris@16:     const typename zero_matrix<T, ALLOC>::value_type zero_matrix<T, ALLOC>::zero_ = T(/*zero*/);
Chris@16: 
Chris@16:     /** \brief An identity matrix with values of type \c T
Chris@16:      *
Chris@16:      * Elements or cordinates \f$(i,i)\f$ are equal to 1 (one) and all others to 0 (zero). 
Chris@16:      * Changing values does not affect the matrix, however assigning it to a normal matrix will
Chris@16:      * make the matrix equal to an identity matrix. All accesses are constant du to the trivial values.
Chris@16:      *
Chris@16:      * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
Chris@16:      * \tparam ALLOC an allocator for storing the zeros and one elements. By default, a standar allocator is used.
Chris@16:      */ 
Chris@16:     template<class T, class ALLOC>
Chris@16:     class identity_matrix:
Chris@16:         public matrix_container<identity_matrix<T, ALLOC> > {
Chris@16: 
Chris@16:         typedef const T *const_pointer;
Chris@16:         typedef identity_matrix<T, ALLOC> self_type;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_container<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef typename ALLOC::size_type size_type;
Chris@16:         typedef typename ALLOC::difference_type difference_type;
Chris@16:         typedef T value_type;
Chris@16:         typedef const T &const_reference;
Chris@16:         typedef T &reference;
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef sparse_tag storage_category;
Chris@16:         typedef unknown_orientation_tag orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         identity_matrix ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (0), size2_ (0), size_common_ (0) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         identity_matrix (size_type size):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size), size2_ (size), size_common_ ((std::min) (size1_, size2_)) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         identity_matrix (size_type size1, size_type size2):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), size_common_ ((std::min) (size1_, size2_)) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         identity_matrix (const identity_matrix &m):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (m.size1_), size2_ (m.size2_), size_common_ ((std::min) (size1_, size2_)) {}
Chris@16: 
Chris@16:         // Accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return size1_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const {
Chris@16:             return size2_;
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         void resize (size_type size, bool /*preserve*/ = true) {
Chris@16:             size1_ = size;
Chris@16:             size2_ = size;
Chris@16:             size_common_ = ((std::min)(size1_, size2_));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool /*preserve*/ = true) {
Chris@16:             size1_ = size1;
Chris@16:             size2_ = size2;
Chris@16:             size_common_ = ((std::min)(size1_, size2_));
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type i, size_type j) const {
Chris@16:             if (i == j)
Chris@16:                 return one_;
Chris@16:             else
Chris@16:                 return zero_;
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         identity_matrix &operator = (const identity_matrix &m) {
Chris@16:             size1_ = m.size1_;
Chris@16:             size2_ = m.size2_;
Chris@16:             size_common_ = m.size_common_;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         identity_matrix &assign_temporary (identity_matrix &m) { 
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (identity_matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 std::swap (size1_, m.size1_);
Chris@16:                 std::swap (size2_, m.size2_);
Chris@16:                 std::swap (size_common_, m.size_common_);
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (identity_matrix &m1, identity_matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use an index
Chris@16:         typedef size_type const_subiterator_type;
Chris@16: 
Chris@16:     public:
Chris@16:         class const_iterator1;
Chris@16:         class const_iterator2;
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 find1 (int rank, size_type i, size_type j) const {
Chris@16:             if (rank == 1) {
Chris@16:                 i = (std::max) (i, j);
Chris@16:                 i = (std::min) (i, j + 1);
Chris@16:             }
Chris@16:             return const_iterator1 (*this, i);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 find2 (int rank, size_type i, size_type j) const {
Chris@16:             if (rank == 1) {
Chris@16:                 j = (std::max) (j, i);
Chris@16:                 j = (std::min) (j, i + 1);
Chris@16:             }
Chris@16:             return const_iterator2 (*this, j);
Chris@16:         }
Chris@16: 
Chris@16: 
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<identity_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename identity_matrix::value_type value_type;
Chris@16:             typedef typename identity_matrix::difference_type difference_type;
Chris@16:             typedef typename identity_matrix::const_reference reference;
Chris@16:             typedef typename identity_matrix::const_pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator2 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 ():
Chris@16:                 container_const_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 BOOST_UBLAS_CHECK (it_ < (*this) ().size1 (), bad_index ());
Chris@16:                 ++it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 BOOST_UBLAS_CHECK (it_ > 0, bad_index ());
Chris@16:                 --it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 return one_;
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 return const_iterator2 ((*this) (), it_); 
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator2 end () const {
Chris@16:                 return const_iterator2 ((*this) (), it_ + 1); 
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator_type it_;
Chris@16:         };
Chris@16: 
Chris@16:         typedef const_iterator1 iterator1;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return const_iterator1 (*this, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return const_iterator1 (*this, size_common_);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<identity_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename identity_matrix::value_type value_type;
Chris@16:             typedef typename identity_matrix::difference_type difference_type;
Chris@16:             typedef typename identity_matrix::const_reference reference;
Chris@16:             typedef typename identity_matrix::const_pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator1 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 ():
Chris@16:                 container_const_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 BOOST_UBLAS_CHECK (it_ < (*this) ().size_common_, bad_index ());
Chris@16:                 ++it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 BOOST_UBLAS_CHECK (it_ > 0, bad_index ());
Chris@16:                 --it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 return one_;
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 return const_iterator1 ((*this) (), it_); 
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator1 end () const {
Chris@16:                 return const_iterator1 ((*this) (), it_ + 1); 
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rbegin () const {
Chris@16:                 return const_reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator_type it_;
Chris@16:         };
Chris@16: 
Chris@16:         typedef const_iterator2 iterator2;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return const_iterator2 (*this, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return const_iterator2 (*this, size_common_);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:          // Serialization
Chris@16:         template<class Archive>
Chris@16:         void serialize(Archive & ar, const unsigned int /* file_version */){
Chris@16:         
Chris@16:             // we need to copy to a collection_size_type to get a portable
Chris@16:             // and efficient serialization
Chris@16:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:           
Chris@16:             // serialize the sizes
Chris@16:             ar & serialization::make_nvp("size1",s1)
Chris@16:                & serialization::make_nvp("size2",s2);
Chris@16: 
Chris@16:             // copy the values back if loading
Chris@16:             if (Archive::is_loading::value) {
Chris@16:                 size1_ = s1;
Chris@16:                 size2_ = s2;
Chris@16:                 size_common_ = ((std::min)(size1_, size2_));
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         size_type size1_;
Chris@16:         size_type size2_;
Chris@16:         size_type size_common_;
Chris@16:         static const value_type zero_;
Chris@16:         static const value_type one_;
Chris@16:     };
Chris@16: 
Chris@16:     template<class T, class ALLOC>
Chris@16:     const typename identity_matrix<T, ALLOC>::value_type identity_matrix<T, ALLOC>::zero_ = T(/*zero*/);
Chris@16:     template<class T, class ALLOC>
Chris@16:     const typename identity_matrix<T, ALLOC>::value_type identity_matrix<T, ALLOC>::one_ (1); // ISSUE: need 'one'-traits here
Chris@16: 
Chris@16: 
Chris@16:     /** \brief A matrix with all values of type \c T equal to the same value
Chris@16:      *
Chris@16:      * Changing one value has the effect of changing all the values. Assigning it to a normal matrix will copy
Chris@16:      * the same value everywhere in this matrix. All accesses are constant time, due to the trivial value.
Chris@16:      *
Chris@16:      * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
Chris@16:      * \tparam ALLOC an allocator for storing the unique value. By default, a standar allocator is used.
Chris@16:      */
Chris@16:     template<class T, class ALLOC>
Chris@16:     class scalar_matrix:
Chris@16:         public matrix_container<scalar_matrix<T, ALLOC> > {
Chris@16: 
Chris@16:         typedef const T *const_pointer;
Chris@16:         typedef scalar_matrix<T, ALLOC> self_type;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_container<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef std::size_t size_type;
Chris@16:         typedef std::ptrdiff_t difference_type;
Chris@16:         typedef T value_type;
Chris@16:         typedef const T &const_reference;
Chris@16:         typedef T &reference;
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef dense_tag storage_category;
Chris@16:         typedef unknown_orientation_tag orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         scalar_matrix ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (0), size2_ (0), value_ () {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         scalar_matrix (size_type size1, size_type size2, const value_type &value = value_type(1)):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), value_ (value) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         scalar_matrix (const scalar_matrix &m):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (m.size1_), size2_ (m.size2_), value_ (m.value_) {}
Chris@16: 
Chris@16:         // Accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return size1_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const {
Chris@16:             return size2_;
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool /*preserve*/ = true) {
Chris@16:             size1_ = size1;
Chris@16:             size2_ = size2;
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type /*i*/, size_type /*j*/) const {
Chris@16:             return value_; 
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         scalar_matrix &operator = (const scalar_matrix &m) {
Chris@16:             size1_ = m.size1_;
Chris@16:             size2_ = m.size2_;
Chris@16:             value_ = m.value_;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         scalar_matrix &assign_temporary (scalar_matrix &m) { 
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (scalar_matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 std::swap (size1_, m.size1_);
Chris@16:                 std::swap (size2_, m.size2_);
Chris@16:                 std::swap (value_, m.value_);
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (scalar_matrix &m1, scalar_matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use an index
Chris@16:         typedef size_type const_subiterator_type;
Chris@16: 
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> iterator1;
Chris@16:         typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> iterator2;
Chris@16:         typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
Chris@16:         typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
Chris@16: #else
Chris@16:         class const_iterator1;
Chris@16:         class const_iterator2;
Chris@16: #endif
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 find1 (int /*rank*/, size_type i, size_type j) const {
Chris@16:             return const_iterator1 (*this, i, j);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 find2 (int /*rank*/, size_type i, size_type j) const {
Chris@16:             return const_iterator2 (*this, i, j);
Chris@16:         }   
Chris@16: 
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<scalar_matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename scalar_matrix::value_type value_type;
Chris@16:             typedef typename scalar_matrix::difference_type difference_type;
Chris@16:             typedef typename scalar_matrix::const_reference reference;
Chris@16:             typedef typename scalar_matrix::const_pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator2 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 ():
Chris@16:                 container_const_reference<scalar_matrix> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const scalar_matrix &m, const const_subiterator_type &it1, const const_subiterator_type &it2):
Chris@16:                 container_const_reference<scalar_matrix> (m), it1_ (it1), it2_ (it2) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 ++ it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 -- it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator += (difference_type n) {
Chris@16:                 it1_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -= (difference_type n) {
Chris@16:                 it1_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ - it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return (*this) () (index1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 const scalar_matrix &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator2 end () const {
Chris@16:                 const scalar_matrix &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@16:                 container_const_reference<scalar_matrix>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ == it.it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ < it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator_type it1_;
Chris@16:             const_subiterator_type it2_;
Chris@16:         };
Chris@16: 
Chris@16:         typedef const_iterator1 iterator1;
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return find1 (0, size1_, 0);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<scalar_matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename scalar_matrix::value_type value_type;
Chris@16:             typedef typename scalar_matrix::difference_type difference_type;
Chris@16:             typedef typename scalar_matrix::const_reference reference;
Chris@16:             typedef typename scalar_matrix::const_pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator1 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 ():
Chris@16:                 container_const_reference<scalar_matrix> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const scalar_matrix &m, const const_subiterator_type &it1, const const_subiterator_type &it2):
Chris@16:                 container_const_reference<scalar_matrix> (m), it1_ (it1), it2_ (it2) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 ++ it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 -- it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator += (difference_type n) {
Chris@16:                 it2_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -= (difference_type n) {
Chris@16:                 it2_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ - it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return (*this) () (index1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 const scalar_matrix &m = (*this) ();
Chris@16:                 return m.find1 (1, 0, index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator1 end () const {
Chris@16:                 const scalar_matrix &m = (*this) ();
Chris@16:                 return m.find1 (1, m.size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rbegin () const {
Chris@16:                 return const_reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@16:                 container_const_reference<scalar_matrix>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ == it.it2_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ < it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator_type it1_;
Chris@16:             const_subiterator_type it2_;
Chris@16:         };
Chris@16: 
Chris@16:         typedef const_iterator2 iterator2;
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:          // Serialization
Chris@16:         template<class Archive>
Chris@16:         void serialize(Archive & ar, const unsigned int /* file_version */){
Chris@16:         
Chris@16:             // we need to copy to a collection_size_type to get a portable
Chris@16:             // and efficient serialization
Chris@16:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:           
Chris@16:             // serialize the sizes
Chris@16:             ar & serialization::make_nvp("size1",s1)
Chris@16:                & serialization::make_nvp("size2",s2);
Chris@16: 
Chris@16:             // copy the values back if loading
Chris@16:             if (Archive::is_loading::value) {
Chris@16:                 size1_ = s1;
Chris@16:                 size2_ = s2;
Chris@16:             }
Chris@16: 
Chris@16:             ar & serialization::make_nvp("value", value_);
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         size_type size1_;
Chris@16:         size_type size2_;
Chris@16:         value_type value_;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     /** \brief An array based matrix class which size is defined at type specification or object instanciation
Chris@16:      *
Chris@16:      * This matrix is directly based on a predefined C-style arry of data, thus providing the fastest
Chris@16:      * implementation possible. The constraint is that dimensions of the matrix must be specified at 
Chris@16:      * the instanciation or the type specification. 
Chris@16:      *
Chris@16:      * For instance, \code typedef c_matrix<double,4,4> my_4by4_matrix \endcode 
Chris@16:      * defines a 4 by 4 double-precision matrix.  You can also instantiate it directly with 
Chris@16:      * \code c_matrix<int,8,5> my_fast_matrix \endcode. This will make a 8 by 5 integer matrix. The 
Chris@16:      * price to pay for this speed is that you cannot resize it to a size larger than the one defined 
Chris@16:      * in the template parameters. In the previous example, a size of 4 by 5 or 3 by 2 is acceptable, 
Chris@16:      * but a new size of 9 by 5 or even 10 by 10 will raise a bad_size() exception.
Chris@16:      *
Chris@16:      * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
Chris@16:      * \tparam N the default maximum number of rows
Chris@16:      * \tparam M the default maximum number of columns
Chris@16:      */
Chris@16:     template<class T, std::size_t N, std::size_t M>
Chris@16:     class c_matrix:
Chris@16:         public matrix_container<c_matrix<T, N, M> > {
Chris@16: 
Chris@16:         typedef c_matrix<T, N, M> self_type;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_container<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef std::size_t size_type;
Chris@16:         typedef std::ptrdiff_t difference_type;
Chris@16:         typedef T value_type;
Chris@16:         typedef const T &const_reference;
Chris@16:         typedef T &reference;
Chris@16:         typedef const T *const_pointer;
Chris@16:         typedef T *pointer;
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef c_vector<T, N * M> vector_temporary_type;     // vector able to store all elements of c_matrix
Chris@16:         typedef self_type matrix_temporary_type;
Chris@16:         typedef dense_tag storage_category;
Chris@16:         // This could be better for performance,
Chris@16:         // typedef typename unknown_orientation_tag orientation_category;
Chris@16:         // but others depend on the orientation information...
Chris@16:         typedef row_major_tag orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix ():
Chris@16:             size1_ (N), size2_ (M) /* , data_ () */ {
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix (size_type size1, size_type size2):
Chris@16:             size1_ (size1), size2_ (size2) /* , data_ () */ {
Chris@16:             if (size1_ > N || size2_ > M)
Chris@16:                 bad_size ().raise ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix (const c_matrix &m):
Chris@16:             size1_ (m.size1_), size2_ (m.size2_) /* , data_ () */ {
Chris@16:             if (size1_ > N || size2_ > M)
Chris@16:                 bad_size ().raise ();
Chris@16:             assign(m);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix (const matrix_expression<AE> &ae):
Chris@16:             size1_ (ae ().size1 ()), size2_ (ae ().size2 ()) /* , data_ () */ {
Chris@16:             if (size1_ > N || size2_ > M)
Chris@16:                 bad_size ().raise ();
Chris@16:             matrix_assign<scalar_assign> (*this, ae);
Chris@16:         }
Chris@16: 
Chris@16:         // Accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return size1_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const {
Chris@16:             return size2_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_pointer data () const {
Chris@16:             return reinterpret_cast<const_pointer> (data_);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         pointer data () {
Chris@16:             return reinterpret_cast<pointer> (data_);
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool preserve = true) {
Chris@16:             if (size1 > N || size2 > M)
Chris@16:                 bad_size ().raise ();
Chris@16:             if (preserve) {
Chris@16:                 self_type temporary (size1, size2);
Chris@16:                 // Common elements to preserve
Chris@16:                 const size_type size1_min = (std::min) (size1, size1_);
Chris@16:                 const size_type size2_min = (std::min) (size2, size2_);
Chris@16:                 for (size_type i = 0; i != size1_min; ++i) {    // indexing copy over major
Chris@16:                     for (size_type j = 0; j != size2_min; ++j) {
Chris@16:                         temporary.data_[i][j] = data_[i][j];
Chris@16:                     }
Chris@16:                 }
Chris@16:                 assign_temporary (temporary);
Chris@16:             }
Chris@16:             else {
Chris@16:                 size1_ = size1;
Chris@16:                 size2_ = size2;
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type i, size_type j) const {
Chris@16:             BOOST_UBLAS_CHECK (i < size1_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2_, bad_index ());
Chris@16:             return data_ [i] [j];
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference at_element (size_type i, size_type j) {
Chris@16:             BOOST_UBLAS_CHECK (i < size1_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2_, bad_index ());
Chris@16:             return data_ [i] [j];
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16:             return at_element (i, j);
Chris@16:         }
Chris@16: 
Chris@16:         // Element assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference insert_element (size_type i, size_type j, const_reference t) {
Chris@16:             return (at_element (i, j) = t);
Chris@16:         }
Chris@16:         
Chris@16:         // Zeroing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void clear () {
Chris@16:             for (size_type i = 0; i < size1_; ++ i)
Chris@16:                 std::fill (data_ [i], data_ [i] + size2_, value_type/*zero*/());
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16: #ifdef BOOST_UBLAS_MOVE_SEMANTICS
Chris@16: 
Chris@16:         /*! @note "pass by value" the key idea to enable move semantics */
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &operator = (c_matrix m) {
Chris@16:             assign_temporary(m);
Chris@16:             return *this;
Chris@16:         }
Chris@16: #else
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &operator = (const c_matrix &m) {
Chris@16:             size1_ = m.size1_;
Chris@16:             size2_ = m.size2_;
Chris@16:             for (size_type i = 0; i < m.size1_; ++ i)
Chris@16:                 std::copy (m.data_ [i], m.data_ [i] + m.size2_, data_ [i]);
Chris@16:             return *this;
Chris@16:         }
Chris@16: #endif
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &operator = (const matrix_container<C> &m) {
Chris@16:             resize (m ().size1 (), m ().size2 (), false);
Chris@16:             assign (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &assign_temporary (c_matrix &m) {
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &operator = (const matrix_expression<AE> &ae) { 
Chris@16:             self_type temporary (ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &assign (const matrix_expression<AE> &ae) { 
Chris@16:             matrix_assign<scalar_assign> (*this, ae); 
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix& operator += (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this + ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &operator += (const matrix_container<C> &m) {
Chris@16:             plus_assign (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &plus_assign (const matrix_expression<AE> &ae) { 
Chris@16:             matrix_assign<scalar_plus_assign> (*this, ae); 
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this - ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &operator -= (const matrix_container<C> &m) {
Chris@16:             minus_assign (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix &minus_assign (const matrix_expression<AE> &ae) { 
Chris@16:             matrix_assign<scalar_minus_assign> (*this, ae); 
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix& operator *= (const AT &at) {
Chris@16:             matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         c_matrix& operator /= (const AT &at) {
Chris@16:             matrix_assign_scalar<scalar_divides_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (c_matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 BOOST_UBLAS_CHECK (size1_ == m.size1_, bad_size ());
Chris@16:                 BOOST_UBLAS_CHECK (size2_ == m.size2_, bad_size ());
Chris@16:                 std::swap (size1_, m.size1_);
Chris@16:                 std::swap (size2_, m.size2_);
Chris@16:                 for (size_type i = 0; i < size1_; ++ i)
Chris@16:                     std::swap_ranges (data_ [i], data_ [i] + size2_, m.data_ [i]);
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (c_matrix &m1, c_matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use pointers for iterator
Chris@16:         typedef const_pointer const_subiterator_type;
Chris@16:         typedef pointer subiterator_type;
Chris@16: 
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         typedef indexed_iterator1<self_type, dense_random_access_iterator_tag> iterator1;
Chris@16:         typedef indexed_iterator2<self_type, dense_random_access_iterator_tag> iterator2;
Chris@16:         typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
Chris@16:         typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
Chris@16: #else
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
Chris@16: #endif
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16:         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 find1 (int /*rank*/, size_type i, size_type j) const {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return const_iterator1 (*this, i, j);
Chris@16: #else
Chris@16:             return const_iterator1 (*this, &data_ [i] [j]);
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         iterator1 find1 (int /*rank*/, size_type i, size_type j) {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return iterator1 (*this, i, j);
Chris@16: #else
Chris@16:             return iterator1 (*this, &data_ [i] [j]);
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 find2 (int /*rank*/, size_type i, size_type j) const {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return const_iterator2 (*this, i, j);
Chris@16: #else
Chris@16:             return const_iterator2 (*this, &data_ [i] [j]);
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         iterator2 find2 (int /*rank*/, size_type i, size_type j) {
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:             return iterator2 (*this, i, j);
Chris@16: #else
Chris@16:             return iterator2 (*this, &data_ [i] [j]);
Chris@16: #endif
Chris@16:         }
Chris@16: 
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<c_matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename c_matrix::difference_type difference_type;
Chris@16:             typedef typename c_matrix::value_type value_type;
Chris@16:             typedef typename c_matrix::const_reference reference;
Chris@16:             typedef typename c_matrix::const_pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator2 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 ():
Chris@16:                 container_const_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 it_ += M;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 it_ -= M;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator += (difference_type n) {
Chris@16:                 it_ += n * M;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -= (difference_type n) {
Chris@16:                 it_ -= n * M;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return (it_ - it.it_) / M;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator2 end () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return (it_ - m.begin1 ().it_) / M;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return (it_ - m.begin1 ().it_) % M;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator_type it_;
Chris@16: 
Chris@16:             friend class iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return find1 (0, size1_, 0);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator1:
Chris@16:             public container_reference<c_matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16: 
Chris@16:             typedef typename c_matrix::difference_type difference_type;
Chris@16:             typedef typename c_matrix::value_type value_type;
Chris@16:             typedef typename c_matrix::reference reference;
Chris@16:             typedef typename c_matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator2 dual_iterator_type;
Chris@16:             typedef reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 ():
Chris@16:                 container_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 it_ += M;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 it_ -= M;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator += (difference_type n) {
Chris@16:                 it_ += n * M;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -= (difference_type n) {
Chris@16:                 it_ -= n * M;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return (it_ - it.it_) / M;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 begin () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 end () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find2 (1, index1 (), m.size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rbegin () const {
Chris@16:                 return reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rend () const {
Chris@16:                 return reverse_iterator2 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return (it_ - m.begin1 ().it_) / M;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return (it_ - m.begin1 ().it_) % M;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator = (const iterator1 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 begin1 () {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 end1 () {
Chris@16:             return find1 (0, size1_, 0);
Chris@16:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<c_matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename c_matrix::difference_type difference_type;
Chris@16:             typedef typename c_matrix::value_type value_type;
Chris@16:             typedef typename c_matrix::const_reference reference;
Chris@16:             typedef typename c_matrix::const_reference pointer;
Chris@16: 
Chris@16:             typedef const_iterator1 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 ():
Chris@16:                 container_const_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 ++ it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 -- it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator += (difference_type n) {
Chris@16:                 it_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -= (difference_type n) {
Chris@16:                 it_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ - it.it_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, 0, index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator1 end () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, m.size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rbegin () const {
Chris@16:                 return const_reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return (it_ - m.begin2 ().it_) / M;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return (it_ - m.begin2 ().it_) % M;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator_type it_;
Chris@16: 
Chris@16:             friend class iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator2:
Chris@16:             public container_reference<c_matrix>,
Chris@16:             public random_access_iterator_base<dense_random_access_iterator_tag,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename c_matrix::difference_type difference_type;
Chris@16:             typedef typename c_matrix::value_type value_type;
Chris@16:             typedef typename c_matrix::reference reference;
Chris@16:             typedef typename c_matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator1 dual_iterator_type;
Chris@16:             typedef reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 ():
Chris@16:                 container_reference<self_type> (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 ++ it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 -- it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator += (difference_type n) {
Chris@16:                 it_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -= (difference_type n) {
Chris@16:                 it_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ - it.it_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 return *it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 begin () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, 0, index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 end () const {
Chris@16:                 self_type &m = (*this) ();
Chris@16:                 return m.find1 (1, m.size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rbegin () const {
Chris@16:                 return reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rend () const {
Chris@16:                 return reverse_iterator1 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return (it_ - m.begin2 ().it_) / M;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 const self_type &m = (*this) ();
Chris@16:                 return (it_ - m.begin2 ().it_) % M;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator = (const iterator2 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it_ = it.it_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ == it.it_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it_ < it.it_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 begin2 () {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 end2 () {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rbegin1 () {
Chris@16:             return reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rend1 () {
Chris@16:             return reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rbegin2 () {
Chris@16:             return reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rend2 () {
Chris@16:             return reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@16: 
Chris@16:          // Serialization
Chris@16:         template<class Archive>
Chris@16:         void serialize(Archive & ar, const unsigned int /* file_version */){
Chris@16:         
Chris@16:             // we need to copy to a collection_size_type to get a portable
Chris@16:             // and efficient serialization
Chris@16:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:           
Chris@16:             // serialize the sizes
Chris@16:             ar & serialization::make_nvp("size1",s1)
Chris@16:                & serialization::make_nvp("size2",s2);
Chris@16: 
Chris@16:             // copy the values back if loading
Chris@16:             if (Archive::is_loading::value) {
Chris@16:                 size1_ = s1;
Chris@16:                 size2_ = s2;
Chris@16:             }
Chris@16:             // could probably use make_array( &(data[0][0]), N*M ) 
Chris@16:             ar & serialization::make_array(data_, N);
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         size_type size1_;
Chris@16:         size_type size2_;
Chris@16:         value_type data_ [N] [M];
Chris@16:     };
Chris@16: 
Chris@16: }}}
Chris@16: 
Chris@16: #endif