Chris@16: //
Chris@16: //  Copyright (c) 2000-2007
Chris@16: //  Joerg Walter, Mathias Koch, Gunter Winkler
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_SPARSE_
Chris@16: #define _BOOST_UBLAS_MATRIX_SPARSE_
Chris@16: 
Chris@16: #include <boost/numeric/ublas/vector_sparse.hpp>
Chris@16: #include <boost/numeric/ublas/matrix_expression.hpp>
Chris@16: #include <boost/numeric/ublas/detail/matrix_assign.hpp>
Chris@16: #if BOOST_UBLAS_TYPE_CHECK
Chris@16: #include <boost/numeric/ublas/matrix.hpp>
Chris@16: #endif
Chris@16: 
Chris@16: // Iterators based on ideas of Jeremy Siek
Chris@16: 
Chris@16: namespace boost { namespace numeric { namespace ublas {
Chris@16: 
Chris@16: #ifdef BOOST_UBLAS_STRICT_MATRIX_SPARSE
Chris@16: 
Chris@16:     template<class M>
Chris@16:     class sparse_matrix_element:
Chris@16:        public container_reference<M> {
Chris@16:     public:
Chris@16:         typedef M matrix_type;
Chris@16:         typedef typename M::size_type size_type;
Chris@16:         typedef typename M::value_type value_type;
Chris@16:         typedef const value_type &const_reference;
Chris@16:         typedef value_type *pointer;
Chris@16:         typedef const value_type *const_pointer;
Chris@16: 
Chris@16:     private:
Chris@16:         // Proxied element operations
Chris@16:         void get_d () const {
Chris@16:             const_pointer p = (*this) ().find_element (i_, j_);
Chris@16:             if (p)
Chris@16:                 d_ = *p;
Chris@16:             else
Chris@16:                 d_ = value_type/*zero*/();
Chris@16:         }
Chris@16: 
Chris@16:         void set (const value_type &s) const {
Chris@16:             pointer p = (*this) ().find_element (i_, j_);
Chris@16:             if (!p)
Chris@16:                 (*this) ().insert_element (i_, j_, s);
Chris@16:             else
Chris@16:                 *p = s;
Chris@16:         }
Chris@16:         
Chris@16:     public:
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         sparse_matrix_element (matrix_type &m, size_type i, size_type j):
Chris@16:             container_reference<matrix_type> (m), i_ (i), j_ (j) {
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         sparse_matrix_element (const sparse_matrix_element &p):
Chris@16:             container_reference<matrix_type> (p), i_ (p.i_), j_ (p.j_) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         ~sparse_matrix_element () {
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         sparse_matrix_element &operator = (const sparse_matrix_element &p) {
Chris@16:             // Overide the implict copy assignment
Chris@16:             p.get_d ();
Chris@16:             set (p.d_);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         sparse_matrix_element &operator = (const D &d) {
Chris@16:             set (d);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         sparse_matrix_element &operator += (const D &d) {
Chris@16:             get_d ();
Chris@16:             d_ += d;
Chris@16:             set (d_);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         sparse_matrix_element &operator -= (const D &d) {
Chris@16:             get_d ();
Chris@16:             d_ -= d;
Chris@16:             set (d_);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         sparse_matrix_element &operator *= (const D &d) {
Chris@16:             get_d ();
Chris@16:             d_ *= d;
Chris@16:             set (d_);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         sparse_matrix_element &operator /= (const D &d) {
Chris@16:             get_d ();
Chris@16:             d_ /= d;
Chris@16:             set (d_);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Comparison
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bool operator == (const D &d) const {
Chris@16:             get_d ();
Chris@16:             return d_ == d;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bool operator != (const D &d) const {
Chris@16:             get_d ();
Chris@16:             return d_ != d;
Chris@16:         }
Chris@16: 
Chris@16:         // Conversion - weak link in proxy as d_ is not a perfect alias for the element
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         operator const_reference () const {
Chris@16:             get_d ();
Chris@16:             return d_;
Chris@16:         }
Chris@16: 
Chris@16:         // Conversion to reference - may be invalidated
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         value_type& ref () const {
Chris@16:             const pointer p = (*this) ().find_element (i_, j_);
Chris@16:             if (!p)
Chris@16:                 return (*this) ().insert_element (i_, j_, value_type/*zero*/());
Chris@16:             else
Chris@16:                 return *p;
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         size_type i_;
Chris@16:         size_type j_;
Chris@16:         mutable value_type d_;
Chris@16:     };
Chris@16: 
Chris@16:     /*
Chris@16:      * Generalise explicit reference access
Chris@16:      */
Chris@16:     namespace detail {
Chris@16:         template <class V>
Chris@16:         struct element_reference<sparse_matrix_element<V> > {
Chris@16:             typedef typename V::value_type& reference;
Chris@16:             static reference get_reference (const sparse_matrix_element<V>& sve)
Chris@16:             {
Chris@16:                 return sve.ref ();
Chris@16:             }
Chris@16:         };
Chris@16:     }
Chris@16: 
Chris@16: 
Chris@16:     template<class M>
Chris@16:     struct type_traits<sparse_matrix_element<M> > {
Chris@16:         typedef typename M::value_type element_type;
Chris@16:         typedef type_traits<sparse_matrix_element<M> > self_type;
Chris@16:         typedef typename type_traits<element_type>::value_type value_type;
Chris@16:         typedef typename type_traits<element_type>::const_reference const_reference;
Chris@16:         typedef sparse_matrix_element<M> reference;
Chris@16:         typedef typename type_traits<element_type>::real_type real_type;
Chris@16:         typedef typename type_traits<element_type>::precision_type precision_type;
Chris@16: 
Chris@16:         static const unsigned plus_complexity = type_traits<element_type>::plus_complexity;
Chris@16:         static const unsigned multiplies_complexity = type_traits<element_type>::multiplies_complexity;
Chris@16: 
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type real (const_reference t) {
Chris@16:             return type_traits<element_type>::real (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type imag (const_reference t) {
Chris@16:             return type_traits<element_type>::imag (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         value_type conj (const_reference t) {
Chris@16:             return type_traits<element_type>::conj (t);
Chris@16:         }
Chris@16: 
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type type_abs (const_reference t) {
Chris@16:             return type_traits<element_type>::type_abs (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         value_type type_sqrt (const_reference t) {
Chris@16:             return type_traits<element_type>::type_sqrt (t);
Chris@16:         }
Chris@16: 
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type norm_1 (const_reference t) {
Chris@16:             return type_traits<element_type>::norm_1 (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type norm_2 (const_reference t) {
Chris@16:             return type_traits<element_type>::norm_2 (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type norm_inf (const_reference t) {
Chris@16:             return type_traits<element_type>::norm_inf (t);
Chris@16:         }
Chris@16: 
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bool equals (const_reference t1, const_reference t2) {
Chris@16:             return type_traits<element_type>::equals (t1, t2);
Chris@16:         }
Chris@16:     };
Chris@16: 
Chris@16:     template<class M1, class T2>
Chris@16:     struct promote_traits<sparse_matrix_element<M1>, T2> {
Chris@16:         typedef typename promote_traits<typename sparse_matrix_element<M1>::value_type, T2>::promote_type promote_type;
Chris@16:     };
Chris@16:     template<class T1, class M2>
Chris@16:     struct promote_traits<T1, sparse_matrix_element<M2> > {
Chris@16:         typedef typename promote_traits<T1, typename sparse_matrix_element<M2>::value_type>::promote_type promote_type;
Chris@16:     };
Chris@16:     template<class M1, class M2>
Chris@16:     struct promote_traits<sparse_matrix_element<M1>, sparse_matrix_element<M2> > {
Chris@16:         typedef typename promote_traits<typename sparse_matrix_element<M1>::value_type,
Chris@16:                                         typename sparse_matrix_element<M2>::value_type>::promote_type promote_type;
Chris@16:     };
Chris@16: 
Chris@16: #endif
Chris@16: 
Chris@16:    /** \brief Index map based sparse matrix of values of type \c T
Chris@16:     *
Chris@16:     * This class represents a matrix by using a \c key to value mapping. The default type is
Chris@16:     * \code template<class T, class L = row_major, class A =  map_std<std::size_t, T> > class mapped_matrix; \endcode
Chris@16:     * So, by default a STL map container is used to associate keys and values. The key is computed depending on 
Chris@16:     * the layout type \c L as \code key = layout_type::element(i, size1_, j, size2_); \endcode
Chris@16:     * which means \code key = (i*size2+j) \endcode for a row major matrix.
Chris@16:     * Limitations: The matrix size must not exceed \f$(size1*size2) < \f$ \code std::limits<std::size_t> \endcode. 
Chris@16:     * The \ref find1() and \ref find2() operations have a complexity of at least \f$\mathcal{O}(log(nnz))\f$, depending
Chris@16:     * on the efficiency of \c std::lower_bound on the key set of the map.
Chris@16:     * Orientation and storage can also be specified, otherwise a row major orientation is used. 
Chris@16:     * It is \b not required by the storage to initialize elements of the matrix. By default, the orientation is \c row_major. 
Chris@16:     *
Chris@16:     * \sa fwd.hpp, storage_sparse.hpp
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:     */
Chris@16:     template<class T, class L, class A>
Chris@16:     class mapped_matrix:
Chris@16:         public matrix_container<mapped_matrix<T, L, A> > {
Chris@16: 
Chris@16:         typedef T &true_reference;
Chris@16:         typedef T *pointer;
Chris@16:         typedef const T * const_pointer;
Chris@16:         typedef L layout_type;
Chris@16:         typedef mapped_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 A array_type;
Chris@16:         typedef const T &const_reference;
Chris@16: #ifndef BOOST_UBLAS_STRICT_MATRIX_SPARSE
Chris@16:         typedef typename detail::map_traits<A, T>::reference reference;
Chris@16: #else
Chris@16:         typedef sparse_matrix_element<self_type> reference;
Chris@16: #endif
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef mapped_vector<T, A> vector_temporary_type;
Chris@16:         typedef self_type matrix_temporary_type;
Chris@16:         typedef sparse_tag storage_category;
Chris@16:         typedef typename L::orientation_category orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_matrix ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (0), size2_ (0), data_ () {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_matrix (size_type size1, size_type size2, size_type non_zeros = 0):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), data_ () {
Chris@16:             detail::map_reserve (data (), restrict_capacity (non_zeros));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_matrix (const mapped_matrix &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:         mapped_matrix (const matrix_expression<AE> &ae, size_type non_zeros = 0):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (ae ().size1 ()), size2_ (ae ().size2 ()), data_ () {
Chris@16:             detail::map_reserve (data (), restrict_capacity (non_zeros));
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:         size_type nnz_capacity () const {
Chris@16:             return detail::map_capacity (data ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type nnz () const {
Chris@16:             return data (). size ();
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:     private:
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type restrict_capacity (size_type non_zeros) const {
Chris@16:             // Guarding against overflow - thanks to Alexei Novakov for the hint.
Chris@16:             // non_zeros = (std::min) (non_zeros, size1_ * size2_);
Chris@16:             if (size1_ > 0 && non_zeros / size1_ >= size2_)
Chris@16:                 non_zeros = size1_ * size2_;
Chris@16:             return non_zeros;
Chris@16:         }
Chris@16:     public:
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool preserve = true) {
Chris@16:             // FIXME preserve unimplemented
Chris@16:             BOOST_UBLAS_CHECK (!preserve, internal_logic ());
Chris@16:             size1_ = size1;
Chris@16:             size2_ = size2;
Chris@16:             data ().clear ();
Chris@16:         }
Chris@16: 
Chris@16:         // Reserving
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void reserve (size_type non_zeros, bool preserve = true) {
Chris@16:             detail::map_reserve (data (), restrict_capacity (non_zeros));
Chris@16:         }
Chris@16: 
Chris@16:         // Element support
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         pointer find_element (size_type i, size_type j) {
Chris@16:             return const_cast<pointer> (const_cast<const self_type&>(*this).find_element (i, j));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_pointer find_element (size_type i, size_type j) const {
Chris@16:             const size_type element = layout_type::element (i, size1_, j, size2_);
Chris@16:             const_subiterator_type it (data ().find (element));
Chris@16:             if (it == data ().end ())
Chris@16:                 return 0;
Chris@16:             BOOST_UBLAS_CHECK ((*it).first == element, internal_logic ());   // broken map
Chris@16:             return &(*it).second;
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:             const size_type element = layout_type::element (i, size1_, j, size2_);
Chris@16:             const_subiterator_type it (data ().find (element));
Chris@16:             if (it == data ().end ())
Chris@16:                 return zero_;
Chris@16:             BOOST_UBLAS_CHECK ((*it).first == element, internal_logic ());   // broken map
Chris@16:             return (*it).second;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16: #ifndef BOOST_UBLAS_STRICT_MATRIX_SPARSE
Chris@16:             const size_type element = layout_type::element (i, size1_, j, size2_);
Chris@16:             std::pair<subiterator_type, bool> ii (data ().insert (typename array_type::value_type (element, value_type/*zero*/())));
Chris@16:             BOOST_UBLAS_CHECK ((ii.first)->first == element, internal_logic ());   // broken map
Chris@16:             return (ii.first)->second;
Chris@16: #else
Chris@16:             return reference (*this, i, j);
Chris@16: #endif
Chris@16:         }
Chris@16: 
Chris@16:         // Element assingment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference insert_element (size_type i, size_type j, const_reference t) {
Chris@16:             BOOST_UBLAS_CHECK (!find_element (i, j), bad_index ());        // duplicate element
Chris@16:             const size_type element = layout_type::element (i, size1_, j, size2_);
Chris@16:             std::pair<subiterator_type, bool> ii (data ().insert (typename array_type::value_type (element, t)));
Chris@16:             BOOST_UBLAS_CHECK ((ii.first)->first == element, internal_logic ());   // broken map
Chris@16:             if (!ii.second)     // existing element
Chris@16:                 (ii.first)->second = t;
Chris@16:             return (ii.first)->second;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void erase_element (size_type i, size_type j) {
Chris@16:             subiterator_type it = data ().find (layout_type::element (i, size1_, j, size2_));
Chris@16:             if (it == data ().end ())
Chris@16:                 return;
Chris@16:             data ().erase (it);
Chris@16:         }
Chris@16:         
Chris@16:         // Zeroing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void clear () {
Chris@16:             data ().clear ();
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_matrix &operator = (const mapped_matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 size1_ = m.size1_;
Chris@16:                 size2_ = m.size2_;
Chris@16:                 data () = m.data ();
Chris@16:             }
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_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:         mapped_matrix &assign_temporary (mapped_matrix &m) {
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_matrix &operator = (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (ae, detail::map_capacity (data ()));
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_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:         mapped_matrix& operator += (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this + ae, detail::map_capacity (data ()));
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_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:         mapped_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:         mapped_matrix& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this - ae, detail::map_capacity (data ()));
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_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:         mapped_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:         mapped_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:         mapped_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 (mapped_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 (mapped_matrix &m1, mapped_matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use storage iterator
Chris@16:         typedef typename A::const_iterator const_subiterator_type;
Chris@16:         typedef typename A::iterator subiterator_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference at_element (size_type i, size_type j) {
Chris@16:             const size_type element = layout_type::element (i, size1_, j, size2_);
Chris@16:             subiterator_type it (data ().find (element));
Chris@16:             BOOST_UBLAS_CHECK (it != data ().end(), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK ((*it).first == element, internal_logic ());   // broken map
Chris@16:             return it->second;
Chris@16:         }
Chris@16: 
Chris@16:     public:
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
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 This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         const_iterator1 find1 (int rank, size_type i, size_type j, int direction = 1) const {
Chris@16:             const_subiterator_type it (data ().lower_bound (layout_type::address (i, size1_, j, size2_)));
Chris@16:             const_subiterator_type it_end (data ().end ());
Chris@16:             size_type index1 = size_type (-1);
Chris@16:             size_type index2 = size_type (-1);
Chris@16:             while (rank == 1 && it != it_end) {
Chris@16:                 index1 = layout_type::index_i ((*it).first, size1_, size2_);
Chris@16:                 index2 = layout_type::index_j ((*it).first, size1_, size2_);
Chris@16:                 if (direction > 0) {
Chris@16:                     if ((index1 >= i && index2 == j) || (i >= size1_))
Chris@16:                         break;
Chris@16:                     ++ i;
Chris@16:                 } else /* if (direction < 0) */ {
Chris@16:                     if ((index1 <= i && index2 == j) || (i == 0))
Chris@16:                         break;
Chris@16:                     -- i;
Chris@16:                 }
Chris@16:                 it = data ().lower_bound (layout_type::address (i, size1_, j, size2_));
Chris@16:             }
Chris@16:             if (rank == 1 && index2 != j) {
Chris@16:                 if (direction > 0)
Chris@16:                     i = size1_;
Chris@16:                 else /* if (direction < 0) */
Chris@16:                     i = 0;
Chris@16:                 rank = 0;
Chris@16:             }
Chris@16:             return const_iterator1 (*this, rank, i, j, it);
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         iterator1 find1 (int rank, size_type i, size_type j, int direction = 1) {
Chris@16:             subiterator_type it (data ().lower_bound (layout_type::address (i, size1_, j, size2_)));
Chris@16:             subiterator_type it_end (data ().end ());
Chris@16:             size_type index1 = size_type (-1);
Chris@16:             size_type index2 = size_type (-1);
Chris@16:             while (rank == 1 && it != it_end) {
Chris@16:                 index1 = layout_type::index_i ((*it).first, size1_, size2_);
Chris@16:                 index2 = layout_type::index_j ((*it).first, size1_, size2_);
Chris@16:                 if (direction > 0) {
Chris@16:                     if ((index1 >= i && index2 == j) || (i >= size1_))
Chris@16:                         break;
Chris@16:                     ++ i;
Chris@16:                 } else /* if (direction < 0) */ {
Chris@16:                     if ((index1 <= i && index2 == j) || (i == 0))
Chris@16:                         break;
Chris@16:                     -- i;
Chris@16:                 }
Chris@16:                 it = data ().lower_bound (layout_type::address (i, size1_, j, size2_));
Chris@16:             }
Chris@16:             if (rank == 1 && index2 != j) {
Chris@16:                 if (direction > 0)
Chris@16:                     i = size1_;
Chris@16:                 else /* if (direction < 0) */
Chris@16:                     i = 0;
Chris@16:                 rank = 0;
Chris@16:             }
Chris@16:             return iterator1 (*this, rank, i, j, it);
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         const_iterator2 find2 (int rank, size_type i, size_type j, int direction = 1) const {
Chris@16:             const_subiterator_type it (data ().lower_bound (layout_type::address (i, size1_, j, size2_)));
Chris@16:             const_subiterator_type it_end (data ().end ());
Chris@16:             size_type index1 = size_type (-1);
Chris@16:             size_type index2 = size_type (-1);
Chris@16:             while (rank == 1 && it != it_end) {
Chris@16:                 index1 = layout_type::index_i ((*it).first, size1_, size2_);
Chris@16:                 index2 = layout_type::index_j ((*it).first, size1_, size2_);
Chris@16:                 if (direction > 0) {
Chris@16:                     if ((index2 >= j && index1 == i) || (j >= size2_))
Chris@16:                         break;
Chris@16:                     ++ j;
Chris@16:                 } else /* if (direction < 0) */ {
Chris@16:                     if ((index2 <= j && index1 == i) || (j == 0))
Chris@16:                         break;
Chris@16:                     -- j;
Chris@16:                 }
Chris@16:                 it = data ().lower_bound (layout_type::address (i, size1_, j, size2_));
Chris@16:             }
Chris@16:             if (rank == 1 && index1 != i) {
Chris@16:                 if (direction > 0)
Chris@16:                     j = size2_;
Chris@16:                 else /* if (direction < 0) */
Chris@16:                     j = 0;
Chris@16:                 rank = 0;
Chris@16:             }
Chris@16:             return const_iterator2 (*this, rank, i, j, it);
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         iterator2 find2 (int rank, size_type i, size_type j, int direction = 1) {
Chris@16:             subiterator_type it (data ().lower_bound (layout_type::address (i, size1_, j, size2_)));
Chris@16:             subiterator_type it_end (data ().end ());
Chris@16:             size_type index1 = size_type (-1);
Chris@16:             size_type index2 = size_type (-1);
Chris@16:             while (rank == 1 && it != it_end) {
Chris@16:                 index1 = layout_type::index_i ((*it).first, size1_, size2_);
Chris@16:                 index2 = layout_type::index_j ((*it).first, size1_, size2_);
Chris@16:                 if (direction > 0) {
Chris@16:                     if ((index2 >= j && index1 == i) || (j >= size2_))
Chris@16:                         break;
Chris@16:                     ++ j;
Chris@16:                 } else /* if (direction < 0) */ {
Chris@16:                     if ((index2 <= j && index1 == i) || (j == 0))
Chris@16:                         break;
Chris@16:                     -- j;
Chris@16:                 }
Chris@16:                 it = data ().lower_bound (layout_type::address (i, size1_, j, size2_));
Chris@16:             }
Chris@16:             if (rank == 1 && index1 != i) {
Chris@16:                 if (direction > 0)
Chris@16:                     j = size2_;
Chris@16:                 else /* if (direction < 0) */
Chris@16:                     j = 0;
Chris@16:                 rank = 0;
Chris@16:             }
Chris@16:             return iterator2 (*this, rank, i, j, it);
Chris@16:         }
Chris@16: 
Chris@16: 
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<mapped_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename mapped_matrix::value_type value_type;
Chris@16:             typedef typename mapped_matrix::difference_type difference_type;
Chris@16:             typedef typename mapped_matrix::const_reference reference;
Chris@16:             typedef const typename mapped_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> (), rank_ (), i_ (), j_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, int rank, size_type i, size_type j, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), rank_ (rank), 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 ()), rank_ (it.rank_), 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:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else
Chris@16:                     *this = (*this) ().find1 (rank_, index1 () + 1, j_, 1);
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else
Chris@16:                     *this = (*this) ().find1 (rank_, index1 () - 1, j_, -1);
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 (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     return (*it_).second;
Chris@16:                 } else {
Chris@16:                     return (*this) () (i_, j_);
Chris@16:                 }
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:                 BOOST_UBLAS_CHECK (*this != (*this) ().find1 (0, (*this) ().size1 (), j_), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_i ((*it_).first, m.size1 (), m.size2 ()) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_i ((*it_).first, m.size1 (), m.size2 ());
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 if (rank_ == 1) {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_j ((*it_).first, m.size1 (), m.size2 ()) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_j ((*it_).first, m.size1 (), m.size2 ());
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             const_subiterator_type it_;
Chris@16:         };
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:         class iterator1:
Chris@16:             public container_reference<mapped_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename mapped_matrix::value_type value_type;
Chris@16:             typedef typename mapped_matrix::difference_type difference_type;
Chris@16:             typedef typename mapped_matrix::true_reference reference;
Chris@16:             typedef typename mapped_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> (), rank_ (), i_ (), j_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, int rank, size_type i, size_type j, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else
Chris@16:                     *this = (*this) ().find1 (rank_, index1 () + 1, j_, 1);
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else
Chris@16:                     *this = (*this) ().find1 (rank_, index1 () - 1, j_, -1);
Chris@16:                 return *this;
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:                 if (rank_ == 1) {
Chris@16:                     return (*it_).second;
Chris@16:                 } else {
Chris@16:                     return (*this) ().at_element (i_, j_);
Chris@16:                 }
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:                 BOOST_UBLAS_CHECK (*this != (*this) ().find1 (0, (*this) ().size1 (), j_), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_i ((*it_).first, m.size1 (), m.size2 ()) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_i ((*it_).first, m.size1 (), m.size2 ());
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 if (rank_ == 1) {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_j ((*it_).first, m.size1 (), m.size2 ()) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_j ((*it_).first, m.size1 (), m.size2 ());
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
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: 
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:         class const_iterator2:
Chris@16:             public container_const_reference<mapped_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename mapped_matrix::value_type value_type;
Chris@16:             typedef typename mapped_matrix::difference_type difference_type;
Chris@16:             typedef typename mapped_matrix::const_reference reference;
Chris@16:             typedef const typename mapped_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> (), rank_ (), i_ (), j_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, int rank, size_type i, size_type j, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), rank_ (rank), 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 ()), rank_ (it.rank_), 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:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else
Chris@16:                     *this = (*this) ().find2 (rank_, i_, index2 () + 1, 1);
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else
Chris@16:                     *this = (*this) ().find2 (rank_, i_, index2 () - 1, -1);
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 (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     return (*it_).second;
Chris@16:                 } else {
Chris@16:                     return (*this) () (i_, j_);
Chris@16:                 }
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:                 if (rank_ == 1) {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_i ((*it_).first, m.size1 (), m.size2 ()) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_i ((*it_).first, m.size1 (), m.size2 ());
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (*this != (*this) ().find2 (0, i_, (*this) ().size2 ()), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_j ((*it_).first, m.size1 (), m.size2 ()) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_j ((*it_).first, m.size1 (), m.size2 ());
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             const_subiterator_type it_;
Chris@16:         };
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:         class iterator2:
Chris@16:             public container_reference<mapped_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename mapped_matrix::value_type value_type;
Chris@16:             typedef typename mapped_matrix::difference_type difference_type;
Chris@16:             typedef typename mapped_matrix::true_reference reference;
Chris@16:             typedef typename mapped_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> (), rank_ (), i_ (), j_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, int rank, size_type i, size_type j, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else
Chris@16:                     *this = (*this) ().find2 (rank_, i_, index2 () + 1, 1);
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else
Chris@16:                     *this = (*this) ().find2 (rank_, i_, index2 () - 1, -1);
Chris@16:                 return *this;
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:                 if (rank_ == 1) {
Chris@16:                     return (*it_).second;
Chris@16:                 } else {
Chris@16:                     return (*this) ().at_element (i_, j_);
Chris@16:                 }
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:                 if (rank_ == 1) {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_i ((*it_).first, m.size1 (), m.size2 ()) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_i ((*it_).first, m.size1 (), m.size2 ());
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (*this != (*this) ().find2 (0, i_, (*this) ().size2 ()), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_j ((*it_).first, m.size1 (), m.size2 ()) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_j ((*it_).first, m.size1 (), m.size2 ());
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
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: 
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:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:             ar & serialization::make_nvp("size1",s1);
Chris@16:             ar & serialization::make_nvp("size2",s2);
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:         static const value_type zero_;
Chris@16:     };
Chris@16: 
Chris@16:     template<class T, class L, class A>
Chris@16:     const typename mapped_matrix<T, L, A>::value_type mapped_matrix<T, L, A>::zero_ = value_type/*zero*/();
Chris@16: 
Chris@16: 
Chris@16:     // Vector index map based sparse matrix class
Chris@16:     template<class T, class L, class A>
Chris@16:     class mapped_vector_of_mapped_vector:
Chris@16:         public matrix_container<mapped_vector_of_mapped_vector<T, L, A> > {
Chris@16: 
Chris@16:         typedef T &true_reference;
Chris@16:         typedef T *pointer;
Chris@16:         typedef const T *const_pointer;
Chris@16:         typedef A array_type;
Chris@16:         typedef const A const_array_type;
Chris@16:         typedef L layout_type;
Chris@16:         typedef mapped_vector_of_mapped_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: #ifndef BOOST_UBLAS_STRICT_MATRIX_SPARSE
Chris@16:         typedef typename detail::map_traits<typename A::data_value_type, T>::reference reference;
Chris@16: #else
Chris@16:         typedef sparse_matrix_element<self_type> reference;
Chris@16: #endif
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef mapped_vector<T> vector_temporary_type;
Chris@16:         typedef self_type matrix_temporary_type;
Chris@16:         typedef typename A::value_type::second_type vector_data_value_type;
Chris@16:         typedef sparse_tag storage_category;
Chris@16:         typedef typename L::orientation_category orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_vector_of_mapped_vector ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (0), size2_ (0), data_ () {
Chris@16:             data_ [layout_type::size_M (size1_, size2_)] = vector_data_value_type ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_vector_of_mapped_vector (size_type size1, size_type size2, size_type non_zeros = 0):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), data_ () {
Chris@16:             data_ [layout_type::size_M (size1_, size2_)] = vector_data_value_type ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_vector_of_mapped_vector (const mapped_vector_of_mapped_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:         mapped_vector_of_mapped_vector (const matrix_expression<AE> &ae, size_type non_zeros = 0):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (ae ().size1 ()), size2_ (ae ().size2 ()), data_ () {
Chris@16:             data_ [layout_type::size_M (size1_, size2_)] = vector_data_value_type ();
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:         size_type nnz_capacity () const {
Chris@16:             size_type non_zeros = 0;
Chris@16:             for (vector_const_subiterator_type itv = data_ ().begin (); itv != data_ ().end (); ++ itv)
Chris@16:                 non_zeros += detail::map_capacity (*itv);
Chris@16:             return non_zeros;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type nnz () const {
Chris@16:             size_type filled = 0;
Chris@16:             for (vector_const_subiterator_type itv = data_ ().begin (); itv != data_ ().end (); ++ itv)
Chris@16:                 filled += (*itv).size ();
Chris@16:             return filled;
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:             // FIXME preserve unimplemented
Chris@16:             BOOST_UBLAS_CHECK (!preserve, internal_logic ());
Chris@16:             size1_ = size1;
Chris@16:             size2_ = size2;
Chris@16:             data ().clear ();
Chris@16:             data () [layout_type::size_M (size1_, size2_)] = vector_data_value_type ();
Chris@16:         }
Chris@16: 
Chris@16:         // Element support
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         pointer find_element (size_type i, size_type j) {
Chris@16:             return const_cast<pointer> (const_cast<const self_type&>(*this).find_element (i, j));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_pointer find_element (size_type i, size_type j) const {
Chris@16:             const size_type element1 = layout_type::index_M (i, j);
Chris@16:             const size_type element2 = layout_type::index_m (i, j);
Chris@16:             vector_const_subiterator_type itv (data ().find (element1));
Chris@16:             if (itv == data ().end ())
Chris@16:                 return 0;
Chris@16:             BOOST_UBLAS_CHECK ((*itv).first == element1, internal_logic ());   // broken map
Chris@16:             const_subiterator_type it ((*itv).second.find (element2));
Chris@16:             if (it == (*itv).second.end ())
Chris@16:                 return 0;
Chris@16:             BOOST_UBLAS_CHECK ((*it).first == element2, internal_logic ());   // broken map
Chris@16:             return &(*it).second;
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:             const size_type element1 = layout_type::index_M (i, j);
Chris@16:             const size_type element2 = layout_type::index_m (i, j);
Chris@16:             vector_const_subiterator_type itv (data ().find (element1));
Chris@16:             if (itv == data ().end ())
Chris@16:                 return zero_;
Chris@16:             BOOST_UBLAS_CHECK ((*itv).first == element1, internal_logic ());   // broken map
Chris@16:             const_subiterator_type it ((*itv).second.find (element2));
Chris@16:             if (it == (*itv).second.end ())
Chris@16:                 return zero_;
Chris@16:             BOOST_UBLAS_CHECK ((*itv).first == element1, internal_logic ());   // broken map
Chris@16:             return (*it).second;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16: #ifndef BOOST_UBLAS_STRICT_MATRIX_SPARSE
Chris@16:             const size_type element1 = layout_type::index_M (i, j);
Chris@16:             const size_type element2 = layout_type::index_m (i, j);
Chris@16:             vector_data_value_type& vd (data () [element1]);
Chris@16:             std::pair<subiterator_type, bool> ii (vd.insert (typename array_type::value_type::second_type::value_type (element2, value_type/*zero*/())));
Chris@16:             BOOST_UBLAS_CHECK ((ii.first)->first == element2, internal_logic ());   // broken map
Chris@16:             return (ii.first)->second;
Chris@16: #else
Chris@16:             return reference (*this, i, j);
Chris@16: #endif
Chris@16:         }
Chris@16: 
Chris@16:         // Element assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference insert_element (size_type i, size_type j, const_reference t) {
Chris@16:             BOOST_UBLAS_CHECK (!find_element (i, j), bad_index ());        // duplicate element
Chris@16:             const size_type element1 = layout_type::index_M (i, j);
Chris@16:             const size_type element2 = layout_type::index_m (i, j);
Chris@16: 
Chris@16:             vector_data_value_type& vd (data () [element1]);
Chris@16:             std::pair<subiterator_type, bool> ii (vd.insert (typename vector_data_value_type::value_type (element2, t)));
Chris@16:             BOOST_UBLAS_CHECK ((ii.first)->first == element2, internal_logic ());   // broken map
Chris@16:             if (!ii.second)     // existing element
Chris@16:                 (ii.first)->second = t;
Chris@16:             return (ii.first)->second;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void erase_element (size_type i, size_type j) {
Chris@16:             vector_subiterator_type itv (data ().find (layout_type::index_M (i, j)));
Chris@16:             if (itv == data ().end ())
Chris@16:                 return;
Chris@16:             subiterator_type it ((*itv).second.find (layout_type::index_m (i, j)));
Chris@16:             if (it == (*itv).second.end ())
Chris@16:                 return;
Chris@16:             (*itv).second.erase (it);
Chris@16:         }
Chris@16:         
Chris@16:         // Zeroing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void clear () {
Chris@16:             data ().clear ();
Chris@16:             data_ [layout_type::size_M (size1_, size2_)] = vector_data_value_type ();
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_vector_of_mapped_vector &operator = (const mapped_vector_of_mapped_vector &m) {
Chris@16:             if (this != &m) {
Chris@16:                 size1_ = m.size1_;
Chris@16:                 size2_ = m.size2_;
Chris@16:                 data () = m.data ();
Chris@16:             }
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_vector_of_mapped_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:         BOOST_UBLAS_INLINE
Chris@16:         mapped_vector_of_mapped_vector &assign_temporary (mapped_vector_of_mapped_vector &m) {
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_vector_of_mapped_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 AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         mapped_vector_of_mapped_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:         mapped_vector_of_mapped_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:         mapped_vector_of_mapped_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:         mapped_vector_of_mapped_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:         mapped_vector_of_mapped_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:         mapped_vector_of_mapped_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:         mapped_vector_of_mapped_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:         mapped_vector_of_mapped_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:         mapped_vector_of_mapped_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 (mapped_vector_of_mapped_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 (mapped_vector_of_mapped_vector &m1, mapped_vector_of_mapped_vector &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use storage iterators
Chris@16:         typedef typename A::const_iterator vector_const_subiterator_type;
Chris@16:         typedef typename A::iterator vector_subiterator_type;
Chris@16:         typedef typename A::value_type::second_type::const_iterator const_subiterator_type;
Chris@16:         typedef typename A::value_type::second_type::iterator subiterator_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference at_element (size_type i, size_type j) {
Chris@16:             const size_type element1 = layout_type::index_M (i, j);
Chris@16:             const size_type element2 = layout_type::index_m (i, j);
Chris@16:             vector_subiterator_type itv (data ().find (element1));
Chris@16:             BOOST_UBLAS_CHECK (itv != data ().end(), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK ((*itv).first == element1, internal_logic ());   // broken map
Chris@16:             subiterator_type it ((*itv).second.find (element2));
Chris@16:             BOOST_UBLAS_CHECK (it != (*itv).second.end (), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK ((*it).first == element2, internal_logic ());    // broken map
Chris@16:             
Chris@16:             return it->second;
Chris@16:         }
Chris@16: 
Chris@16:     public:
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
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 This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         const_iterator1 find1 (int rank, size_type i, size_type j, int direction = 1) const {
Chris@16:             BOOST_UBLAS_CHECK (data ().begin () != data ().end (), internal_logic ());
Chris@16:             for (;;) {
Chris@16:                 vector_const_subiterator_type itv (data ().lower_bound (layout_type::index_M (i, j)));
Chris@16:                 vector_const_subiterator_type itv_end (data ().end ());
Chris@16:                 if (itv == itv_end)
Chris@16:                     return const_iterator1 (*this, rank, i, j, itv_end, (*(-- itv)).second.end ());
Chris@16: 
Chris@16:                 const_subiterator_type it ((*itv).second.lower_bound (layout_type::index_m (i, j)));
Chris@16:                 const_subiterator_type it_end ((*itv).second.end ());
Chris@16:                 if (rank == 0) {
Chris@16:                     // advance to the first available major index
Chris@16:                     size_type M = itv->first;
Chris@16:                     size_type m;
Chris@16:                     if (it != it_end) { 
Chris@16:                         m = it->first; 
Chris@16:                     } else {
Chris@16:                         m = layout_type::size_m(size1_, size2_);
Chris@16:                     }
Chris@16:                     size_type first_i = layout_type::index_M(M,m);
Chris@16:                     return const_iterator1 (*this, rank, first_i, j, itv, it);
Chris@16:                 }
Chris@16:                 if (it != it_end && (*it).first == layout_type::index_m (i, j))
Chris@16:                     return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = (*it).first;
Chris@16:                     } else {
Chris@16:                         if (i >= size1_)
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         ++ i;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == (*itv).second.begin ())
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         -- it;
Chris@16:                         i = (*it).first;
Chris@16:                     } else {
Chris@16:                         if (i == 0)
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         -- i;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         iterator1 find1 (int rank, size_type i, size_type j, int direction = 1) {
Chris@16:             BOOST_UBLAS_CHECK (data ().begin () != data ().end (), internal_logic ());
Chris@16:             for (;;) {
Chris@16:                 vector_subiterator_type itv (data ().lower_bound (layout_type::index_M (i, j)));
Chris@16:                 vector_subiterator_type itv_end (data ().end ());
Chris@16:                 if (itv == itv_end)
Chris@16:                     return iterator1 (*this, rank, i, j, itv_end, (*(-- itv)).second.end ());
Chris@16: 
Chris@16:                 subiterator_type it ((*itv).second.lower_bound (layout_type::index_m (i, j)));
Chris@16:                 subiterator_type it_end ((*itv).second.end ());
Chris@16:                 if (rank == 0) {
Chris@16:                     // advance to the first available major index
Chris@16:                     size_type M = itv->first;
Chris@16:                     size_type m;
Chris@16:                     if (it != it_end) { 
Chris@16:                         m = it->first; 
Chris@16:                     } else {
Chris@16:                         m = layout_type::size_m(size1_, size2_);
Chris@16:                     }
Chris@16:                     size_type first_i = layout_type::index_M(M,m);
Chris@16:                     return iterator1 (*this, rank, first_i, j, itv, it);
Chris@16:                 }
Chris@16:                 if (it != it_end && (*it).first == layout_type::index_m (i, j))
Chris@16:                     return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = (*it).first;
Chris@16:                     } else {
Chris@16:                         if (i >= size1_)
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         ++ i;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == (*itv).second.begin ())
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         -- it;
Chris@16:                         i = (*it).first;
Chris@16:                     } else {
Chris@16:                         if (i == 0)
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         -- i;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         const_iterator2 find2 (int rank, size_type i, size_type j, int direction = 1) const {
Chris@16:             BOOST_UBLAS_CHECK (data ().begin () != data ().end (), internal_logic ());
Chris@16:             for (;;) {
Chris@16:                 vector_const_subiterator_type itv (data ().lower_bound (layout_type::index_M (i, j)));
Chris@16:                 vector_const_subiterator_type itv_end (data ().end ());
Chris@16:                 if (itv == itv_end)
Chris@16:                     return const_iterator2 (*this, rank, i, j, itv_end, (*(-- itv)).second.end ());
Chris@16: 
Chris@16:                 const_subiterator_type it ((*itv).second.lower_bound (layout_type::index_m (i, j)));
Chris@16:                 const_subiterator_type it_end ((*itv).second.end ());
Chris@16:                 if (rank == 0) {
Chris@16:                     // advance to the first available major index
Chris@16:                     size_type M = itv->first;
Chris@16:                     size_type m;
Chris@16:                     if (it != it_end) { 
Chris@16:                         m = it->first; 
Chris@16:                     } else {
Chris@16:                         m = layout_type::size_m(size1_, size2_);
Chris@16:                     }
Chris@16:                     size_type first_j = layout_type::index_m(M,m);
Chris@16:                     return const_iterator2 (*this, rank, i, first_j, itv, it);
Chris@16:                 }
Chris@16:                 if (it != it_end && (*it).first == layout_type::index_m (i, j))
Chris@16:                     return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = (*it).first;
Chris@16:                     } else {
Chris@16:                         if (j >= size2_)
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         ++ j;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == (*itv).second.begin ())
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         -- it;
Chris@16:                         j = (*it).first;
Chris@16:                     } else {
Chris@16:                         if (j == 0)
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         -- j;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         iterator2 find2 (int rank, size_type i, size_type j, int direction = 1) {
Chris@16:             BOOST_UBLAS_CHECK (data ().begin () != data ().end (), internal_logic ());
Chris@16:             for (;;) {
Chris@16:                 vector_subiterator_type itv (data ().lower_bound (layout_type::index_M (i, j)));
Chris@16:                 vector_subiterator_type itv_end (data ().end ());
Chris@16:                 if (itv == itv_end)
Chris@16:                     return iterator2 (*this, rank, i, j, itv_end, (*(-- itv)).second.end ());
Chris@16: 
Chris@16:                 subiterator_type it ((*itv).second.lower_bound (layout_type::index_m (i, j)));
Chris@16:                 subiterator_type it_end ((*itv).second.end ());
Chris@16:                 if (rank == 0) {
Chris@16:                     // advance to the first available major index
Chris@16:                     size_type M = itv->first;
Chris@16:                     size_type m;
Chris@16:                     if (it != it_end) { 
Chris@16:                         m = it->first; 
Chris@16:                     } else {
Chris@16:                         m = layout_type::size_m(size1_, size2_);
Chris@16:                     }
Chris@16:                     size_type first_j = layout_type::index_m(M,m);
Chris@16:                     return iterator2 (*this, rank, i, first_j, itv, it);
Chris@16:                 }
Chris@16:                 if (it != it_end && (*it).first == layout_type::index_m (i, j))
Chris@16:                     return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = (*it).first;
Chris@16:                     } else {
Chris@16:                         if (j >= size2_)
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         ++ j;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == (*itv).second.begin ())
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         -- it;
Chris@16:                         j = (*it).first;
Chris@16:                     } else {
Chris@16:                         if (j == 0)
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         -- j;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<mapped_vector_of_mapped_vector>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename mapped_vector_of_mapped_vector::value_type value_type;
Chris@16:             typedef typename mapped_vector_of_mapped_vector::difference_type difference_type;
Chris@16:             typedef typename mapped_vector_of_mapped_vector::const_reference reference;
Chris@16:             typedef const typename mapped_vector_of_mapped_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, int rank, size_type i, size_type j, const vector_const_subiterator_type &itv, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()), rank_ (it.rank_), i_ (it.i_), j_ (it.j_), itv_ (it.itv_), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     if (rank_ == 0) {
Chris@16:                         ++ itv_;
Chris@16:                         i_ = itv_->first;
Chris@16:                     } else {
Chris@16:                         i_ = index1 () + 1;
Chris@16:                     }
Chris@16:                     if (rank_ == 1 && ++ itv_ == m.end1 ().itv_)
Chris@16:                         *this = m.find1 (rank_, i_, j_, 1);
Chris@16:                     else if (rank_ == 1) {
Chris@16:                         it_ = (*itv_).second.begin ();
Chris@16:                         if (it_ == (*itv_).second.end () || index2 () != j_)
Chris@16:                             *this = m.find1 (rank_, i_, j_, 1);
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     if (rank_ == 0) {
Chris@16:                         -- itv_;
Chris@16:                         i_ = itv_->first;
Chris@16:                     } else {
Chris@16:                         i_ = index1 () - 1;
Chris@16:                     }
Chris@16:                     // FIXME: this expression should never become true!
Chris@16:                     if (rank_ == 1 && -- itv_ == m.end1 ().itv_)
Chris@16:                         *this = m.find1 (rank_, i_, j_, -1);
Chris@16:                     else if (rank_ == 1) {
Chris@16:                         it_ = (*itv_).second.begin ();
Chris@16:                         if (it_ == (*itv_).second.end () || index2 () != j_)
Chris@16:                             *this = m.find1 (rank_, i_, j_, -1);
Chris@16:                     }
Chris@16:                 }
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 (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     return (*it_).second;
Chris@16:                 } else {
Chris@16:                     return (*this) () (i_, j_);
Chris@16:                 }
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:                 BOOST_UBLAS_CHECK (*this != (*this) ().find1 (0, (*this) ().size1 (), j_), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M ((*itv_).first, (*it_).first) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M ((*itv_).first, (*it_).first);
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m ((*itv_).first, (*it_).first) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m ((*itv_).first, (*it_).first);
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_const_subiterator_type itv_;
Chris@16:             const_subiterator_type it_;
Chris@16:         };
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:         class iterator1:
Chris@16:             public container_reference<mapped_vector_of_mapped_vector>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename mapped_vector_of_mapped_vector::value_type value_type;
Chris@16:             typedef typename mapped_vector_of_mapped_vector::difference_type difference_type;
Chris@16:             typedef typename mapped_vector_of_mapped_vector::true_reference reference;
Chris@16:             typedef typename mapped_vector_of_mapped_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, int rank, size_type i, size_type j, const vector_subiterator_type &itv, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     self_type &m = (*this) ();
Chris@16:                     if (rank_ == 0) {
Chris@16:                         ++ itv_;
Chris@16:                         i_ = itv_->first;
Chris@16:                     } else {
Chris@16:                         i_ = index1 () + 1;
Chris@16:                     }
Chris@16:                     if (rank_ == 1 && ++ itv_ == m.end1 ().itv_)
Chris@16:                         *this = m.find1 (rank_, i_, j_, 1);
Chris@16:                     else if (rank_ == 1) {
Chris@16:                         it_ = (*itv_).second.begin ();
Chris@16:                         if (it_ == (*itv_).second.end () || index2 () != j_)
Chris@16:                             *this = m.find1 (rank_, i_, j_, 1);
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     self_type &m = (*this) ();
Chris@16:                     if (rank_ == 0) {
Chris@16:                         -- itv_;
Chris@16:                         i_ = itv_->first;
Chris@16:                     } else {
Chris@16:                         i_ = index1 () - 1;
Chris@16:                     }
Chris@16:                     // FIXME: this expression should never become true!
Chris@16:                     if (rank_ == 1 && -- itv_ == m.end1 ().itv_)
Chris@16:                         *this = m.find1 (rank_, i_, j_, -1);
Chris@16:                     else if (rank_ == 1) {
Chris@16:                         it_ = (*itv_).second.begin ();
Chris@16:                         if (it_ == (*itv_).second.end () || index2 () != j_)
Chris@16:                             *this = m.find1 (rank_, i_, j_, -1);
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
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:                 if (rank_ == 1) {
Chris@16:                     return (*it_).second;
Chris@16:                 } else {
Chris@16:                     return (*this) ().at_element (i_, j_);
Chris@16:                 }
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:                 BOOST_UBLAS_CHECK (*this != (*this) ().find1 (0, (*this) ().size1 (), j_), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M ((*itv_).first, (*it_).first) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M ((*itv_).first, (*it_).first);
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m ((*itv_).first, (*it_).first) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m ((*itv_).first, (*it_).first);
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_subiterator_type itv_;
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
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:         class const_iterator2:
Chris@16:             public container_const_reference<mapped_vector_of_mapped_vector>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename mapped_vector_of_mapped_vector::value_type value_type;
Chris@16:             typedef typename mapped_vector_of_mapped_vector::difference_type difference_type;
Chris@16:             typedef typename mapped_vector_of_mapped_vector::const_reference reference;
Chris@16:             typedef const typename mapped_vector_of_mapped_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, int rank, size_type i, size_type j, const vector_const_subiterator_type &itv, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()), rank_ (it.rank_), i_ (it.i_), j_ (it.j_), itv_ (it.itv_), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     if (rank_ == 0) {
Chris@16:                         ++ itv_;
Chris@16:                         j_ = itv_->first;
Chris@16:                     } else {
Chris@16:                         j_ = index2 () + 1;
Chris@16:                     }
Chris@16:                     if (rank_ == 1 && ++ itv_ == m.end2 ().itv_)
Chris@16:                         *this = m.find2 (rank_, i_, j_, 1);
Chris@16:                     else if (rank_ == 1) {
Chris@16:                         it_ = (*itv_).second.begin ();
Chris@16:                         if (it_ == (*itv_).second.end () || index1 () != i_)
Chris@16:                             *this = m.find2 (rank_, i_, j_, 1);
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     const self_type &m = (*this) ();
Chris@16:                     if (rank_ == 0) {
Chris@16:                         -- itv_;
Chris@16:                         j_ = itv_->first;
Chris@16:                     } else {
Chris@16:                         j_ = index2 () - 1;
Chris@16:                     }
Chris@16:                     // FIXME: this expression should never become true!
Chris@16:                     if (rank_ == 1 && -- itv_ == m.end2 ().itv_)
Chris@16:                         *this = m.find2 (rank_, i_, j_, -1);
Chris@16:                     else if (rank_ == 1) {
Chris@16:                         it_ = (*itv_).second.begin ();
Chris@16:                         if (it_ == (*itv_).second.end () || index1 () != i_)
Chris@16:                             *this = m.find2 (rank_, i_, j_, -1);
Chris@16:                     }
Chris@16:                 }
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 (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     return (*it_).second;
Chris@16:                 } else {
Chris@16:                     return (*this) () (i_, j_);
Chris@16:                 }
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:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M ((*itv_).first, (*it_).first) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M ((*itv_).first, (*it_).first);
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (*this != (*this) ().find2 (0, i_, (*this) ().size2 ()), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m ((*itv_).first, (*it_).first) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m ((*itv_).first, (*it_).first);
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_const_subiterator_type itv_;
Chris@16:             const_subiterator_type it_;
Chris@16:         };
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:         class iterator2:
Chris@16:             public container_reference<mapped_vector_of_mapped_vector>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename mapped_vector_of_mapped_vector::value_type value_type;
Chris@16:             typedef typename mapped_vector_of_mapped_vector::difference_type difference_type;
Chris@16:             typedef typename mapped_vector_of_mapped_vector::true_reference reference;
Chris@16:             typedef typename mapped_vector_of_mapped_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, int rank, size_type i, size_type j, const vector_subiterator_type &itv, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     self_type &m = (*this) ();
Chris@16:                     if (rank_ == 0) {
Chris@16:                         ++ itv_;
Chris@16:                         j_ = itv_->first;
Chris@16:                     } else {
Chris@16:                         j_ = index2 () + 1;
Chris@16:                     }
Chris@16:                     if (rank_ == 1 && ++ itv_ == m.end2 ().itv_)
Chris@16:                         *this = m.find2 (rank_, i_, j_, 1);
Chris@16:                     else if (rank_ == 1) {
Chris@16:                         it_ = (*itv_).second.begin ();
Chris@16:                         if (it_ == (*itv_).second.end () || index1 () != i_)
Chris@16:                             *this = m.find2 (rank_, i_, j_, 1);
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     self_type &m = (*this) ();
Chris@16:                     if (rank_ == 0) {
Chris@16:                         -- itv_;
Chris@16:                         j_ = itv_->first;
Chris@16:                     } else {
Chris@16:                         j_ = index2 () - 1;
Chris@16:                     }
Chris@16:                     // FIXME: this expression should never become true!
Chris@16:                     if (rank_ == 1 && -- itv_ == m.end2 ().itv_)
Chris@16:                         *this = m.find2 (rank_, i_, j_, -1);
Chris@16:                     else if (rank_ == 1) {
Chris@16:                         it_ = (*itv_).second.begin ();
Chris@16:                         if (it_ == (*itv_).second.end () || index1 () != i_)
Chris@16:                             *this = m.find2 (rank_, i_, j_, -1);
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
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:                 if (rank_ == 1) {
Chris@16:                     return (*it_).second;
Chris@16:                 } else {
Chris@16:                     return (*this) ().at_element (i_, j_);
Chris@16:                 }
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:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M ((*itv_).first, (*it_).first) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M ((*itv_).first, (*it_).first);
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (*this != (*this) ().find2 (0, i_, (*this) ().size2 ()), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m ((*itv_).first, (*it_).first) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m ((*itv_).first, (*it_).first);
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_subiterator_type itv_;
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
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:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:             ar & serialization::make_nvp("size1",s1);
Chris@16:             ar & serialization::make_nvp("size2",s2);
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:         static const value_type zero_;
Chris@16:     };
Chris@16: 
Chris@16:     template<class T, class L, class A>
Chris@16:     const typename mapped_vector_of_mapped_vector<T, L, A>::value_type mapped_vector_of_mapped_vector<T, L, A>::zero_ = value_type/*zero*/();
Chris@16: 
Chris@16: 
Chris@16:     // Comperssed array based sparse matrix class
Chris@16:     // Thanks to Kresimir Fresl for extending this to cover different index bases.
Chris@16:     template<class T, class L, std::size_t IB, class IA, class TA>
Chris@16:     class compressed_matrix:
Chris@16:         public matrix_container<compressed_matrix<T, L, IB, IA, TA> > {
Chris@16: 
Chris@16:         typedef T &true_reference;
Chris@16:         typedef T *pointer;
Chris@16:         typedef const T *const_pointer;
Chris@16:         typedef L layout_type;
Chris@16:         typedef compressed_matrix<T, L, IB, IA, TA> 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:         // ISSUE require type consistency check
Chris@16:         // is_convertable (IA::size_type, TA::size_type)
Chris@16:         typedef typename IA::value_type size_type;
Chris@16:         // size_type for the data arrays.
Chris@16:         typedef typename IA::size_type array_size_type;
Chris@16:         // FIXME difference type for sparse storage iterators should it be in the container?
Chris@16:         typedef typename IA::difference_type difference_type;
Chris@16:         typedef T value_type;
Chris@16:         typedef const T &const_reference;
Chris@16: #ifndef BOOST_UBLAS_STRICT_MATRIX_SPARSE
Chris@16:         typedef T &reference;
Chris@16: #else
Chris@16:         typedef sparse_matrix_element<self_type> reference;
Chris@16: #endif
Chris@16:         typedef IA index_array_type;
Chris@16:         typedef TA value_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 compressed_vector<T, IB, IA, TA> vector_temporary_type;
Chris@16:         typedef self_type matrix_temporary_type;
Chris@16:         typedef sparse_tag storage_category;
Chris@16:         typedef typename L::orientation_category orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_matrix ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (0), size2_ (0), capacity_ (restrict_capacity (0)),
Chris@16:             filled1_ (1), filled2_ (0),
Chris@16:             index1_data_ (layout_type::size_M (size1_, size2_) + 1), index2_data_ (capacity_), value_data_ (capacity_) {
Chris@16:             index1_data_ [filled1_ - 1] = k_based (filled2_);
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_matrix (size_type size1, size_type size2, size_type non_zeros = 0):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), capacity_ (restrict_capacity (non_zeros)),
Chris@16:             filled1_ (1), filled2_ (0),
Chris@16:             index1_data_ (layout_type::size_M (size1_, size2_) + 1), index2_data_ (capacity_), value_data_ (capacity_) {
Chris@16:             index1_data_ [filled1_ - 1] = k_based (filled2_);
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_matrix (const compressed_matrix &m):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (m.size1_), size2_ (m.size2_), capacity_ (m.capacity_),
Chris@16:             filled1_ (m.filled1_), filled2_ (m.filled2_),
Chris@16:             index1_data_ (m.index1_data_), index2_data_ (m.index2_data_), value_data_ (m.value_data_) {
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:          
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_matrix (const coordinate_matrix<T, L, IB, IA, TA> &m):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (m.size1()), size2_ (m.size2()),
Chris@16:             index1_data_ (layout_type::size_M (size1_, size2_) + 1)
Chris@16:         {
Chris@16:             m.sort();
Chris@16:             reserve(m.nnz(), false);
Chris@16:             filled2_ = m.nnz();
Chris@16:             const_subiterator_type  i_start = m.index1_data().begin();
Chris@16:             const_subiterator_type  i_end   = (i_start + filled2_);
Chris@16:             const_subiterator_type  i = i_start;
Chris@16:             size_type r = 1;
Chris@16:             for (; (r < layout_type::size_M (size1_, size2_)) && (i != i_end); ++r) {
Chris@16:                 i = std::lower_bound(i, i_end, r);
Chris@16:                 index1_data_[r] = k_based( i - i_start );
Chris@16:             }
Chris@16:             filled1_ = r + 1;
Chris@16:             std::copy( m.index2_data().begin(), m.index2_data().begin() + filled2_, index2_data_.begin());
Chris@16:             std::copy( m.value_data().begin(), m.value_data().begin() + filled2_, value_data_.begin());
Chris@16:             index1_data_ [filled1_ - 1] = k_based(filled2_);
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16: 
Chris@16:        template<class AE>
Chris@16:        BOOST_UBLAS_INLINE
Chris@16:        compressed_matrix (const matrix_expression<AE> &ae, size_type non_zeros = 0):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (ae ().size1 ()), size2_ (ae ().size2 ()), capacity_ (restrict_capacity (non_zeros)),
Chris@16:             filled1_ (1), filled2_ (0),
Chris@16:             index1_data_ (layout_type::size_M (ae ().size1 (), ae ().size2 ()) + 1),
Chris@16:             index2_data_ (capacity_), value_data_ (capacity_) {
Chris@16:             index1_data_ [filled1_ - 1] = k_based (filled2_);
Chris@16:             storage_invariants ();
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:         size_type nnz_capacity () const {
Chris@16:             return capacity_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type nnz () const {
Chris@16:             return filled2_;
Chris@16:         }
Chris@16:         
Chris@16:         // Storage accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         static size_type index_base () {
Chris@16:             return IB;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         array_size_type filled1 () const {
Chris@16:             return filled1_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         array_size_type filled2 () const {
Chris@16:             return filled2_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const index_array_type &index1_data () const {
Chris@16:             return index1_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const index_array_type &index2_data () const {
Chris@16:             return index2_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const value_array_type &value_data () const {
Chris@16:             return value_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void set_filled (const array_size_type& filled1, const array_size_type& filled2) {
Chris@16:             filled1_ = filled1;
Chris@16:             filled2_ = filled2;
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         index_array_type &index1_data () {
Chris@16:             return index1_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         index_array_type &index2_data () {
Chris@16:             return index2_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         value_array_type &value_data () {
Chris@16:             return value_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void complete_index1_data () {
Chris@16:             while (filled1_ <= layout_type::size_M (size1_, size2_)) {
Chris@16:                 this->index1_data_ [filled1_] = k_based (filled2_);
Chris@16:                 ++ this->filled1_;
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16:     private:
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type restrict_capacity (size_type non_zeros) const {
Chris@16:             non_zeros = (std::max) (non_zeros, (std::min) (size1_, size2_));
Chris@16:             // Guarding against overflow - Thanks to Alexei Novakov for the hint.
Chris@16:             // non_zeros = (std::min) (non_zeros, size1_ * size2_);
Chris@16:             if (size1_ > 0 && non_zeros / size1_ >= size2_)
Chris@16:                 non_zeros = size1_ * size2_;
Chris@16:             return non_zeros;
Chris@16:         }
Chris@16:     public:
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool preserve = true) {
Chris@16:             // FIXME preserve unimplemented
Chris@16:             BOOST_UBLAS_CHECK (!preserve, internal_logic ());
Chris@16:             size1_ = size1;
Chris@16:             size2_ = size2;
Chris@16:             capacity_ = restrict_capacity (capacity_);
Chris@16:             filled1_ = 1;
Chris@16:             filled2_ = 0;
Chris@16:             index1_data_.resize (layout_type::size_M (size1_, size2_) + 1);
Chris@16:             index2_data_.resize (capacity_);
Chris@16:             value_data_.resize (capacity_);
Chris@16:             index1_data_ [filled1_ - 1] = k_based (filled2_);
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16: 
Chris@16:         // Reserving
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void reserve (size_type non_zeros, bool preserve = true) {
Chris@16:             capacity_ = restrict_capacity (non_zeros);
Chris@16:             if (preserve) {
Chris@16:                 index2_data_.resize (capacity_, size_type ());
Chris@16:                 value_data_.resize (capacity_, value_type ());
Chris@16:                 filled2_ = (std::min) (capacity_, filled2_);
Chris@16:             }
Chris@16:             else {
Chris@16:                 index2_data_.resize (capacity_);
Chris@16:                 value_data_.resize (capacity_);
Chris@16:                 filled1_ = 1;
Chris@16:                 filled2_ = 0;
Chris@16:                 index1_data_ [filled1_ - 1] = k_based (filled2_);
Chris@16:             }
Chris@16:             storage_invariants ();
Chris@16:        }
Chris@16: 
Chris@16:         // Element support
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         pointer find_element (size_type i, size_type j) {
Chris@16:             return const_cast<pointer> (const_cast<const self_type&>(*this).find_element (i, j));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_pointer find_element (size_type i, size_type j) const {
Chris@16:             size_type element1 (layout_type::index_M (i, j));
Chris@16:             size_type element2 (layout_type::index_m (i, j));
Chris@16:             if (filled1_ <= element1 + 1)
Chris@16:                 return 0;
Chris@16:             vector_const_subiterator_type itv (index1_data_.begin () + element1);
Chris@16:             const_subiterator_type it_begin (index2_data_.begin () + zero_based (*itv));
Chris@16:             const_subiterator_type it_end (index2_data_.begin () + zero_based (*(itv + 1)));
Chris@16:             const_subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (element2), std::less<size_type> ()));
Chris@16:             if (it == it_end || *it != k_based (element2))
Chris@16:                 return 0;
Chris@16:             return &value_data_ [it - index2_data_.begin ()];
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:             const_pointer p = find_element (i, j);
Chris@16:             if (p)
Chris@16:                 return *p;
Chris@16:             else
Chris@16:                 return zero_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16: #ifndef BOOST_UBLAS_STRICT_MATRIX_SPARSE
Chris@16:             size_type element1 (layout_type::index_M (i, j));
Chris@16:             size_type element2 (layout_type::index_m (i, j));
Chris@16:             if (filled1_ <= element1 + 1)
Chris@16:                 return insert_element (i, j, value_type/*zero*/());
Chris@16:             pointer p = find_element (i, j);
Chris@16:             if (p)
Chris@16:                 return *p;
Chris@16:             else
Chris@16:                 return insert_element (i, j, value_type/*zero*/());
Chris@16: #else
Chris@16:             return reference (*this, i, j);
Chris@16: #endif
Chris@16:         }
Chris@16: 
Chris@16:         // Element assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference insert_element (size_type i, size_type j, const_reference t) {
Chris@16:             BOOST_UBLAS_CHECK (!find_element (i, j), bad_index ());        // duplicate element
Chris@16:             if (filled2_ >= capacity_)
Chris@16:                 reserve (2 * filled2_, true);
Chris@16:             BOOST_UBLAS_CHECK (filled2_ < capacity_, internal_logic ());
Chris@16:             size_type element1 = layout_type::index_M (i, j);
Chris@16:             size_type element2 = layout_type::index_m (i, j);
Chris@16:             while (filled1_ <= element1 + 1) {
Chris@16:                 index1_data_ [filled1_] = k_based (filled2_);
Chris@16:                 ++ filled1_;
Chris@16:             }
Chris@16:             vector_subiterator_type itv (index1_data_.begin () + element1);
Chris@16:             subiterator_type it_begin (index2_data_.begin () + zero_based (*itv));
Chris@16:             subiterator_type it_end (index2_data_.begin () + zero_based (*(itv + 1)));
Chris@16:             subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (element2), std::less<size_type> ()));
Chris@16:             typename std::iterator_traits<subiterator_type>::difference_type n = it - index2_data_.begin ();
Chris@16:             BOOST_UBLAS_CHECK (it == it_end || *it != k_based (element2), internal_logic ());   // duplicate bound by lower_bound
Chris@16:             ++ filled2_;
Chris@16:             it = index2_data_.begin () + n;
Chris@16:             std::copy_backward (it, index2_data_.begin () + filled2_ - 1, index2_data_.begin () + filled2_);
Chris@16:             *it = k_based (element2);
Chris@16:             typename value_array_type::iterator itt (value_data_.begin () + n);
Chris@16:             std::copy_backward (itt, value_data_.begin () + filled2_ - 1, value_data_.begin () + filled2_);
Chris@16:             *itt = t;
Chris@16:             while (element1 + 1 < filled1_) {
Chris@16:                 ++ index1_data_ [element1 + 1];
Chris@16:                 ++ element1;
Chris@16:             }
Chris@16:             storage_invariants ();
Chris@16:             return *itt;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void erase_element (size_type i, size_type j) {
Chris@16:             size_type element1 = layout_type::index_M (i, j);
Chris@16:             size_type element2 = layout_type::index_m (i, j);
Chris@16:             if (element1 + 1 >= filled1_)
Chris@16:                 return;
Chris@16:             vector_subiterator_type itv (index1_data_.begin () + element1);
Chris@16:             subiterator_type it_begin (index2_data_.begin () + zero_based (*itv));
Chris@16:             subiterator_type it_end (index2_data_.begin () + zero_based (*(itv + 1)));
Chris@16:             subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (element2), std::less<size_type> ()));
Chris@16:             if (it != it_end && *it == k_based (element2)) {
Chris@16:                 typename std::iterator_traits<subiterator_type>::difference_type n = it - index2_data_.begin ();
Chris@16:                 std::copy (it + 1, index2_data_.begin () + filled2_, it);
Chris@16:                 typename value_array_type::iterator itt (value_data_.begin () + n);
Chris@16:                 std::copy (itt + 1, value_data_.begin () + filled2_, itt);
Chris@16:                 -- filled2_;
Chris@16:                 while (index1_data_ [filled1_ - 2] > k_based (filled2_)) {
Chris@16:                     index1_data_ [filled1_ - 1] = 0;
Chris@16:                     -- filled1_;
Chris@16:                 }
Chris@16:                 while (element1 + 1 < filled1_) {
Chris@16:                     -- index1_data_ [element1 + 1];
Chris@16:                     ++ element1;
Chris@16:                 }
Chris@16:             }
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         
Chris@16:         // Zeroing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void clear () {
Chris@16:             filled1_ = 1;
Chris@16:             filled2_ = 0;
Chris@16:             index1_data_ [filled1_ - 1] = k_based (filled2_);
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_matrix &operator = (const compressed_matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 size1_ = m.size1_;
Chris@16:                 size2_ = m.size2_;
Chris@16:                 capacity_ = m.capacity_;
Chris@16:                 filled1_ = m.filled1_;
Chris@16:                 filled2_ = m.filled2_;
Chris@16:                 index1_data_ = m.index1_data_;
Chris@16:                 index2_data_ = m.index2_data_;
Chris@16:                 value_data_ = m.value_data_;
Chris@16:             }
Chris@16:             storage_invariants ();
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_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:         compressed_matrix &assign_temporary (compressed_matrix &m) {
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_matrix &operator = (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (ae, capacity_);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_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:         compressed_matrix& operator += (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this + ae, capacity_);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_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:         compressed_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:         compressed_matrix& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this - ae, capacity_);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         compressed_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:         compressed_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:         compressed_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:         compressed_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 (compressed_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 (capacity_, m.capacity_);
Chris@16:                 std::swap (filled1_, m.filled1_);
Chris@16:                 std::swap (filled2_, m.filled2_);
Chris@16:                 index1_data_.swap (m.index1_data_);
Chris@16:                 index2_data_.swap (m.index2_data_);
Chris@16:                 value_data_.swap (m.value_data_);
Chris@16:             }
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (compressed_matrix &m1, compressed_matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Back element insertion and erasure
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void push_back (size_type i, size_type j, const_reference t) {
Chris@16:             if (filled2_ >= capacity_)
Chris@16:                 reserve (2 * filled2_, true);
Chris@16:             BOOST_UBLAS_CHECK (filled2_ < capacity_, internal_logic ());
Chris@16:             size_type element1 = layout_type::index_M (i, j);
Chris@16:             size_type element2 = layout_type::index_m (i, j);
Chris@16:             while (filled1_ < element1 + 2) {
Chris@16:                 index1_data_ [filled1_] = k_based (filled2_);
Chris@16:                 ++ filled1_;
Chris@16:             }
Chris@16:             // must maintain sort order
Chris@16:             BOOST_UBLAS_CHECK ((filled1_ == element1 + 2 &&
Chris@16:                                 (filled2_ == zero_based (index1_data_ [filled1_ - 2]) ||
Chris@16:                                 index2_data_ [filled2_ - 1] < k_based (element2))), external_logic ());
Chris@16:             ++ filled2_;
Chris@16:             index1_data_ [filled1_ - 1] = k_based (filled2_);
Chris@16:             index2_data_ [filled2_ - 1] = k_based (element2);
Chris@16:             value_data_ [filled2_ - 1] = t;
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void pop_back () {
Chris@16:             BOOST_UBLAS_CHECK (filled1_ > 0 && filled2_ > 0, external_logic ());
Chris@16:             -- filled2_;
Chris@16:             while (index1_data_ [filled1_ - 2] > k_based (filled2_)) {
Chris@16:                 index1_data_ [filled1_ - 1] = 0;
Chris@16:                 -- filled1_;
Chris@16:             }
Chris@16:             -- index1_data_ [filled1_ - 1];
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use index array iterator
Chris@16:         typedef typename IA::const_iterator vector_const_subiterator_type;
Chris@16:         typedef typename IA::iterator vector_subiterator_type;
Chris@16:         typedef typename IA::const_iterator const_subiterator_type;
Chris@16:         typedef typename IA::iterator subiterator_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference at_element (size_type i, size_type j) {
Chris@16:             pointer p = find_element (i, j);
Chris@16:             BOOST_UBLAS_CHECK (p, bad_index ());
Chris@16:             return *p;
Chris@16:         }
Chris@16: 
Chris@16:     public:
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
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 This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         const_iterator1 find1 (int rank, size_type i, size_type j, int direction = 1) const {
Chris@16:             for (;;) {
Chris@16:                 array_size_type address1 (layout_type::index_M (i, j));
Chris@16:                 array_size_type address2 (layout_type::index_m (i, j));
Chris@16:                 vector_const_subiterator_type itv (index1_data_.begin () + (std::min) (filled1_ - 1, address1));
Chris@16:                 if (filled1_ <= address1 + 1)
Chris@16:                     return const_iterator1 (*this, rank, i, j, itv, index2_data_.begin () + filled2_);
Chris@16: 
Chris@16:                 const_subiterator_type it_begin (index2_data_.begin () + zero_based (*itv));
Chris@16:                 const_subiterator_type it_end (index2_data_.begin () + zero_based (*(itv + 1)));
Chris@16: 
Chris@16:                 const_subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (address2), std::less<size_type> ()));
Chris@16:                 if (rank == 0)
Chris@16:                     return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (it != it_end && zero_based (*it) == address2)
Chris@16:                     return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = zero_based (*it);
Chris@16:                     } else {
Chris@16:                         if (i >= size1_)
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         ++ i;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == index2_data_.begin () + zero_based (*itv))
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = zero_based (*(it - 1));
Chris@16:                     } else {
Chris@16:                         if (i == 0)
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         -- i;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         iterator1 find1 (int rank, size_type i, size_type j, int direction = 1) {
Chris@16:             for (;;) {
Chris@16:                 array_size_type address1 (layout_type::index_M (i, j));
Chris@16:                 array_size_type address2 (layout_type::index_m (i, j));
Chris@16:                 vector_subiterator_type itv (index1_data_.begin () + (std::min) (filled1_ - 1, address1));
Chris@16:                 if (filled1_ <= address1 + 1)
Chris@16:                     return iterator1 (*this, rank, i, j, itv, index2_data_.begin () + filled2_);
Chris@16: 
Chris@16:                 subiterator_type it_begin (index2_data_.begin () + zero_based (*itv));
Chris@16:                 subiterator_type it_end (index2_data_.begin () + zero_based (*(itv + 1)));
Chris@16: 
Chris@16:                 subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (address2), std::less<size_type> ()));
Chris@16:                 if (rank == 0)
Chris@16:                     return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (it != it_end && zero_based (*it) == address2)
Chris@16:                     return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = zero_based (*it);
Chris@16:                     } else {
Chris@16:                         if (i >= size1_)
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         ++ i;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == index2_data_.begin () + zero_based (*itv))
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = zero_based (*(it - 1));
Chris@16:                     } else {
Chris@16:                         if (i == 0)
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         -- i;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         const_iterator2 find2 (int rank, size_type i, size_type j, int direction = 1) const {
Chris@16:             for (;;) {
Chris@16:                 array_size_type address1 (layout_type::index_M (i, j));
Chris@16:                 array_size_type address2 (layout_type::index_m (i, j));
Chris@16:                 vector_const_subiterator_type itv (index1_data_.begin () + (std::min) (filled1_ - 1, address1));
Chris@16:                 if (filled1_ <= address1 + 1)
Chris@16:                     return const_iterator2 (*this, rank, i, j, itv, index2_data_.begin () + filled2_);
Chris@16: 
Chris@16:                 const_subiterator_type it_begin (index2_data_.begin () + zero_based (*itv));
Chris@16:                 const_subiterator_type it_end (index2_data_.begin () + zero_based (*(itv + 1)));
Chris@16: 
Chris@16:                 const_subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (address2), std::less<size_type> ()));
Chris@16:                 if (rank == 0)
Chris@16:                     return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (it != it_end && zero_based (*it) == address2)
Chris@16:                     return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = zero_based (*it);
Chris@16:                     } else {
Chris@16:                         if (j >= size2_)
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         ++ j;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == index2_data_.begin () + zero_based (*itv))
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = zero_based (*(it - 1));
Chris@16:                     } else {
Chris@16:                         if (j == 0)
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         -- j;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         iterator2 find2 (int rank, size_type i, size_type j, int direction = 1) {
Chris@16:             for (;;) {
Chris@16:                 array_size_type address1 (layout_type::index_M (i, j));
Chris@16:                 array_size_type address2 (layout_type::index_m (i, j));
Chris@16:                 vector_subiterator_type itv (index1_data_.begin () + (std::min) (filled1_ - 1, address1));
Chris@16:                 if (filled1_ <= address1 + 1)
Chris@16:                     return iterator2 (*this, rank, i, j, itv, index2_data_.begin () + filled2_);
Chris@16: 
Chris@16:                 subiterator_type it_begin (index2_data_.begin () + zero_based (*itv));
Chris@16:                 subiterator_type it_end (index2_data_.begin () + zero_based (*(itv + 1)));
Chris@16: 
Chris@16:                 subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (address2), std::less<size_type> ()));
Chris@16:                 if (rank == 0)
Chris@16:                     return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (it != it_end && zero_based (*it) == address2)
Chris@16:                     return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = zero_based (*it);
Chris@16:                     } else {
Chris@16:                         if (j >= size2_)
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         ++ j;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == index2_data_.begin () + zero_based (*itv))
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = zero_based (*(it - 1));
Chris@16:                     } else {
Chris@16:                         if (j == 0)
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         -- j;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16: 
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<compressed_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename compressed_matrix::value_type value_type;
Chris@16:             typedef typename compressed_matrix::difference_type difference_type;
Chris@16:             typedef typename compressed_matrix::const_reference reference;
Chris@16:             typedef const typename compressed_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, int rank, size_type i, size_type j, const vector_const_subiterator_type &itv, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()), rank_ (it.rank_), i_ (it.i_), j_ (it.j_), itv_ (it.itv_), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     i_ = index1 () + 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find1 (rank_, i_, j_, 1);
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     --i_;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find1 (rank_, i_, j_, -1);
Chris@16:                 }
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 (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     return (*this) ().value_data_ [it_ - (*this) ().index2_data_.begin ()];
Chris@16:                 } else {
Chris@16:                     return (*this) () (i_, j_);
Chris@16:                 }
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:                 BOOST_UBLAS_CHECK (*this != (*this) ().find1 (0, (*this) ().size1 (), j_), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_)) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_)) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_const_subiterator_type itv_;
Chris@16:             const_subiterator_type it_;
Chris@16:         };
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:         class iterator1:
Chris@16:             public container_reference<compressed_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename compressed_matrix::value_type value_type;
Chris@16:             typedef typename compressed_matrix::difference_type difference_type;
Chris@16:             typedef typename compressed_matrix::true_reference reference;
Chris@16:             typedef typename compressed_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, int rank, size_type i, size_type j, const vector_subiterator_type &itv, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     i_ = index1 () + 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find1 (rank_, i_, j_, 1);
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     --i_;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find1 (rank_, i_, j_, -1);
Chris@16:                 }
Chris@16:                 return *this;
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:                 if (rank_ == 1) {
Chris@16:                     return (*this) ().value_data_ [it_ - (*this) ().index2_data_.begin ()];
Chris@16:                 } else {
Chris@16:                     return (*this) ().at_element (i_, j_);
Chris@16:                 }
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:                 BOOST_UBLAS_CHECK (*this != (*this) ().find1 (0, (*this) ().size1 (), j_), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_)) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_)) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_subiterator_type itv_;
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
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:         class const_iterator2:
Chris@16:             public container_const_reference<compressed_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename compressed_matrix::value_type value_type;
Chris@16:             typedef typename compressed_matrix::difference_type difference_type;
Chris@16:             typedef typename compressed_matrix::const_reference reference;
Chris@16:             typedef const typename compressed_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, int rank, size_type i, size_type j, const vector_const_subiterator_type itv, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()), rank_ (it.rank_), i_ (it.i_), j_ (it.j_), itv_ (it.itv_), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     j_ = index2 () + 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find2 (rank_, i_, j_, 1);
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     --j_;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find2 (rank_, i_, j_, -1);
Chris@16:                 }
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 (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     return (*this) ().value_data_ [it_ - (*this) ().index2_data_.begin ()];
Chris@16:                 } else {
Chris@16:                     return (*this) () (i_, j_);
Chris@16:                 }
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:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_)) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (*this != (*this) ().find2 (0, i_, (*this) ().size2 ()), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_)) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_const_subiterator_type itv_;
Chris@16:             const_subiterator_type it_;
Chris@16:         };
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:         class iterator2:
Chris@16:             public container_reference<compressed_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename compressed_matrix::value_type value_type;
Chris@16:             typedef typename compressed_matrix::difference_type difference_type;
Chris@16:             typedef typename compressed_matrix::true_reference reference;
Chris@16:             typedef typename compressed_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, int rank, size_type i, size_type j, const vector_subiterator_type &itv, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     j_ = index2 () + 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find2 (rank_, i_, j_, 1);
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     --j_;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find2 (rank_, i_, j_, -1);
Chris@16:                 }
Chris@16:                 return *this;
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:                 if (rank_ == 1) {
Chris@16:                     return (*this) ().value_data_ [it_ - (*this) ().index2_data_.begin ()];
Chris@16:                 } else {
Chris@16:                     return (*this) ().at_element (i_, j_);
Chris@16:                 }
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:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_)) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (*this != (*this) ().find2 (0, i_, (*this) ().size2 ()), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_)) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m (itv_ - (*this) ().index1_data_.begin (), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_subiterator_type itv_;
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
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:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:             ar & serialization::make_nvp("size1",s1);
Chris@16:             ar & serialization::make_nvp("size2",s2);
Chris@16:             if (Archive::is_loading::value) {
Chris@16:                 size1_ = s1;
Chris@16:                 size2_ = s2;
Chris@16:             }
Chris@16:             ar & serialization::make_nvp("capacity", capacity_);
Chris@16:             ar & serialization::make_nvp("filled1", filled1_);
Chris@16:             ar & serialization::make_nvp("filled2", filled2_);
Chris@16:             ar & serialization::make_nvp("index1_data", index1_data_);
Chris@16:             ar & serialization::make_nvp("index2_data", index2_data_);
Chris@16:             ar & serialization::make_nvp("value_data", value_data_);
Chris@16:             storage_invariants();
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         void storage_invariants () const {
Chris@16:             BOOST_UBLAS_CHECK (layout_type::size_M (size1_, size2_) + 1 == index1_data_.size (), internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (capacity_ == index2_data_.size (), internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (capacity_ == value_data_.size (), internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (filled1_ > 0 && filled1_ <= layout_type::size_M (size1_, size2_) + 1, internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (filled2_ <= capacity_, internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (index1_data_ [filled1_ - 1] == k_based (filled2_), internal_logic ());
Chris@16:         }
Chris@16:         
Chris@16:         size_type size1_;
Chris@16:         size_type size2_;
Chris@16:         array_size_type capacity_;
Chris@16:         array_size_type filled1_;
Chris@16:         array_size_type filled2_;
Chris@16:         index_array_type index1_data_;
Chris@16:         index_array_type index2_data_;
Chris@16:         value_array_type value_data_;
Chris@16:         static const value_type zero_;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         static size_type zero_based (size_type k_based_index) {
Chris@16:             return k_based_index - IB;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         static size_type k_based (size_type zero_based_index) {
Chris@16:             return zero_based_index + IB;
Chris@16:         }
Chris@16: 
Chris@16:         friend class iterator1;
Chris@16:         friend class iterator2;
Chris@16:         friend class const_iterator1;
Chris@16:         friend class const_iterator2;
Chris@16:     };
Chris@16: 
Chris@16:     template<class T, class L, std::size_t IB, class IA, class TA>
Chris@16:     const typename compressed_matrix<T, L, IB, IA, TA>::value_type compressed_matrix<T, L, IB, IA, TA>::zero_ = value_type/*zero*/();
Chris@16: 
Chris@16: 
Chris@16:     // Coordinate array based sparse matrix class
Chris@16:     // Thanks to Kresimir Fresl for extending this to cover different index bases.
Chris@16:     template<class T, class L, std::size_t IB, class IA, class TA>
Chris@16:     class coordinate_matrix:
Chris@16:         public matrix_container<coordinate_matrix<T, L, IB, IA, TA> > {
Chris@16: 
Chris@16:         typedef T &true_reference;
Chris@16:         typedef T *pointer;
Chris@16:         typedef const T *const_pointer;
Chris@16:         typedef L layout_type;
Chris@16:         typedef coordinate_matrix<T, L, IB, IA, TA> 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:         // ISSUE require type consistency check, is_convertable (IA::size_type, TA::size_type)
Chris@16:         typedef typename IA::value_type size_type;
Chris@16:         // ISSUE difference_type cannot be deduced for sparse indices, we only know the value_type
Chris@16:         typedef std::ptrdiff_t difference_type;
Chris@16:         // size_type for the data arrays.
Chris@16:         typedef typename IA::size_type array_size_type;
Chris@16:         typedef T value_type;
Chris@16:         typedef const T &const_reference;
Chris@16: #ifndef BOOST_UBLAS_STRICT_MATRIX_SPARSE
Chris@16:         typedef T &reference;
Chris@16: #else
Chris@16:         typedef sparse_matrix_element<self_type> reference;
Chris@16: #endif
Chris@16:         typedef IA index_array_type;
Chris@16:         typedef TA value_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 coordinate_vector<T, IB, IA, TA> vector_temporary_type;
Chris@16:         typedef self_type matrix_temporary_type;
Chris@16:         typedef sparse_tag storage_category;
Chris@16:         typedef typename L::orientation_category orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_matrix ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (0), size2_ (0), capacity_ (restrict_capacity (0)),
Chris@16:             filled_ (0), sorted_filled_ (filled_), sorted_ (true),
Chris@16:             index1_data_ (capacity_), index2_data_ (capacity_), value_data_ (capacity_) {
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_matrix (size_type size1, size_type size2, array_size_type non_zeros = 0):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), capacity_ (restrict_capacity (non_zeros)),
Chris@16:             filled_ (0), sorted_filled_ (filled_), sorted_ (true),
Chris@16:             index1_data_ (capacity_), index2_data_ (capacity_), value_data_ (capacity_) {
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_matrix (const coordinate_matrix &m):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (m.size1_), size2_ (m.size2_), capacity_ (m.capacity_),
Chris@16:             filled_ (m.filled_), sorted_filled_ (m.sorted_filled_), sorted_ (m.sorted_),
Chris@16:             index1_data_ (m.index1_data_), index2_data_ (m.index2_data_), value_data_ (m.value_data_) {
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_matrix (const matrix_expression<AE> &ae, array_size_type non_zeros = 0):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (ae ().size1 ()), size2_ (ae ().size2 ()), capacity_ (restrict_capacity (non_zeros)),
Chris@16:             filled_ (0), sorted_filled_ (filled_), sorted_ (true),
Chris@16:             index1_data_ (capacity_), index2_data_ (capacity_), value_data_ (capacity_) {
Chris@16:             storage_invariants ();
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:         size_type nnz_capacity () const {
Chris@16:             return capacity_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type nnz () const {
Chris@16:             return filled_;
Chris@16:         }
Chris@16: 
Chris@16:         // Storage accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         static size_type index_base () {
Chris@16:             return IB;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         array_size_type filled () const {
Chris@16:             return filled_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const index_array_type &index1_data () const {
Chris@16:             return index1_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const index_array_type &index2_data () const {
Chris@16:             return index2_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const value_array_type &value_data () const {
Chris@16:             return value_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void set_filled (const array_size_type &filled) {
Chris@16:             // Make sure that storage_invariants() succeeds
Chris@16:             if (sorted_ && filled < filled_)
Chris@16:                 sorted_filled_ = filled;
Chris@16:             else
Chris@16:                 sorted_ = (sorted_filled_ == filled);
Chris@16:             filled_ = filled;
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         index_array_type &index1_data () {
Chris@16:             return index1_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         index_array_type &index2_data () {
Chris@16:             return index2_data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         value_array_type &value_data () {
Chris@16:             return value_data_;
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16:     private:
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         array_size_type restrict_capacity (array_size_type non_zeros) const {
Chris@16:             // minimum non_zeros
Chris@16:             non_zeros = (std::max) (non_zeros, array_size_type((std::min) (size1_, size2_)));
Chris@16:             // ISSUE no maximum as coordinate may contain inserted duplicates
Chris@16:             return non_zeros;
Chris@16:         }
Chris@16:     public:
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool preserve = true) {
Chris@16:             // FIXME preserve unimplemented
Chris@16:             BOOST_UBLAS_CHECK (!preserve, internal_logic ());
Chris@16:             size1_ = size1;
Chris@16:             size2_ = size2;
Chris@16:             capacity_ = restrict_capacity (capacity_);
Chris@16:             index1_data_.resize (capacity_);
Chris@16:             index2_data_.resize (capacity_);
Chris@16:             value_data_.resize (capacity_);
Chris@16:             filled_ = 0;
Chris@16:             sorted_filled_ = filled_;
Chris@16:             sorted_ = true;
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16: 
Chris@16:         // Reserving
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void reserve (array_size_type non_zeros, bool preserve = true) {
Chris@16:             sort ();    // remove duplicate elements
Chris@16:             capacity_ = restrict_capacity (non_zeros);
Chris@16:             if (preserve) {
Chris@16:                 index1_data_.resize (capacity_, size_type ());
Chris@16:                 index2_data_.resize (capacity_, size_type ());
Chris@16:                 value_data_.resize (capacity_, value_type ());
Chris@16:                 filled_ = (std::min) (capacity_, filled_);
Chris@16:             }
Chris@16:             else {
Chris@16:                 index1_data_.resize (capacity_);
Chris@16:                 index2_data_.resize (capacity_);
Chris@16:                 value_data_.resize (capacity_);
Chris@16:                 filled_ = 0;
Chris@16:             }
Chris@16:             sorted_filled_ = filled_;
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16: 
Chris@16:         // Element support
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         pointer find_element (size_type i, size_type j) {
Chris@16:             return const_cast<pointer> (const_cast<const self_type&>(*this).find_element (i, j));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_pointer find_element (size_type i, size_type j) const {
Chris@16:             sort ();
Chris@16:             size_type element1 (layout_type::index_M (i, j));
Chris@16:             size_type element2 (layout_type::index_m (i, j));
Chris@16:             vector_const_subiterator_type itv_begin (detail::lower_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (element1), std::less<size_type> ()));
Chris@16:             vector_const_subiterator_type itv_end (detail::upper_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (element1), std::less<size_type> ()));
Chris@16:             if (itv_begin == itv_end)
Chris@16:                 return 0;
Chris@16:             const_subiterator_type it_begin (index2_data_.begin () + (itv_begin - index1_data_.begin ()));
Chris@16:             const_subiterator_type it_end (index2_data_.begin () + (itv_end - index1_data_.begin ()));
Chris@16:             const_subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (element2), std::less<size_type> ()));
Chris@16:             if (it == it_end || *it != k_based (element2))
Chris@16:                 return 0;
Chris@16:             return &value_data_ [it - index2_data_.begin ()];
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:             const_pointer p = find_element (i, j);
Chris@16:             if (p)
Chris@16:                 return *p;
Chris@16:             else 
Chris@16:                 return zero_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16: #ifndef BOOST_UBLAS_STRICT_MATRIX_SPARSE
Chris@16:             pointer p = find_element (i, j);
Chris@16:             if (p)
Chris@16:                 return *p;
Chris@16:             else
Chris@16:                 return insert_element (i, j, value_type/*zero*/());
Chris@16: #else
Chris@16:             return reference (*this, i, j);
Chris@16: #endif
Chris@16:         }
Chris@16: 
Chris@16:         // Element assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void append_element (size_type i, size_type j, const_reference t) {
Chris@16:             if (filled_ >= capacity_)
Chris@16:                 reserve (2 * filled_, true);
Chris@16:             BOOST_UBLAS_CHECK (filled_ < capacity_, internal_logic ());
Chris@16:             size_type element1 = layout_type::index_M (i, j);
Chris@16:             size_type element2 = layout_type::index_m (i, j);
Chris@16:             index1_data_ [filled_] = k_based (element1);
Chris@16:             index2_data_ [filled_] = k_based (element2);
Chris@16:             value_data_ [filled_] = t;
Chris@16:             ++ filled_;
Chris@16:             sorted_ = false;
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference insert_element (size_type i, size_type j, const_reference t) {
Chris@16:             BOOST_UBLAS_CHECK (!find_element (i, j), bad_index ());        // duplicate element
Chris@16:             append_element (i, j, t);
Chris@16:             return value_data_ [filled_ - 1];
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void erase_element (size_type i, size_type j) {
Chris@16:             size_type element1 = layout_type::index_M (i, j);
Chris@16:             size_type element2 = layout_type::index_m (i, j);
Chris@16:             sort ();
Chris@16:             vector_subiterator_type itv_begin (detail::lower_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (element1), std::less<size_type> ()));
Chris@16:             vector_subiterator_type itv_end (detail::upper_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (element1), std::less<size_type> ()));
Chris@16:             subiterator_type it_begin (index2_data_.begin () + (itv_begin - index1_data_.begin ()));
Chris@16:             subiterator_type it_end (index2_data_.begin () + (itv_end - index1_data_.begin ()));
Chris@16:             subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (element2), std::less<size_type> ()));
Chris@16:             if (it != it_end && *it == k_based (element2)) {
Chris@16:                 typename std::iterator_traits<subiterator_type>::difference_type n = it - index2_data_.begin ();
Chris@16:                 vector_subiterator_type itv (index1_data_.begin () + n);
Chris@16:                 std::copy (itv + 1, index1_data_.begin () + filled_, itv);
Chris@16:                 std::copy (it + 1, index2_data_.begin () + filled_, it);
Chris@16:                 typename value_array_type::iterator itt (value_data_.begin () + n);
Chris@16:                 std::copy (itt + 1, value_data_.begin () + filled_, itt);
Chris@16:                 -- filled_;
Chris@16:                 sorted_filled_ = filled_;
Chris@16:             }
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         
Chris@16:         // Zeroing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void clear () {
Chris@16:             filled_ = 0;
Chris@16:             sorted_filled_ = filled_;
Chris@16:             sorted_ = true;
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_matrix &operator = (const coordinate_matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 size1_ = m.size1_;
Chris@16:                 size2_ = m.size2_;
Chris@16:                 capacity_ = m.capacity_;
Chris@16:                 filled_ = m.filled_;
Chris@16:                 sorted_filled_ = m.sorted_filled_;
Chris@16:                 sorted_ = m.sorted_;
Chris@16:                 index1_data_ = m.index1_data_;
Chris@16:                 index2_data_ = m.index2_data_;
Chris@16:                 value_data_ = m.value_data_;
Chris@16:                 BOOST_UBLAS_CHECK (capacity_ == index1_data_.size (), internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (capacity_ == index2_data_.size (), internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (capacity_ == value_data_.size (), internal_logic ());
Chris@16:             }
Chris@16:             storage_invariants ();
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_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:         coordinate_matrix &assign_temporary (coordinate_matrix &m) {
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_matrix &operator = (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (ae, capacity_);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_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:         coordinate_matrix& operator += (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this + ae, capacity_);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_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:         coordinate_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:         coordinate_matrix& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this - ae, capacity_);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class C>          // Container assignment without temporary
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         coordinate_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:         coordinate_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:         coordinate_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:         coordinate_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 (coordinate_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 (capacity_, m.capacity_);
Chris@16:                 std::swap (filled_, m.filled_);
Chris@16:                 std::swap (sorted_filled_, m.sorted_filled_);
Chris@16:                 std::swap (sorted_, m.sorted_);
Chris@16:                 index1_data_.swap (m.index1_data_);
Chris@16:                 index2_data_.swap (m.index2_data_);
Chris@16:                 value_data_.swap (m.value_data_);
Chris@16:             }
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (coordinate_matrix &m1, coordinate_matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // replacement if STL lower bound algorithm for use of inplace_merge
Chris@16:         array_size_type lower_bound (array_size_type beg, array_size_type end, array_size_type target) const {
Chris@16:             while (end > beg) {
Chris@16:                 array_size_type mid = (beg + end) / 2;
Chris@16:                 if (((index1_data_[mid] < index1_data_[target]) ||
Chris@16:                      ((index1_data_[mid] == index1_data_[target]) &&
Chris@16:                       (index2_data_[mid] < index2_data_[target])))) {
Chris@16:                     beg = mid + 1;
Chris@16:                 } else {
Chris@16:                     end = mid;
Chris@16:                 }
Chris@16:             }
Chris@16:             return beg;
Chris@16:         }
Chris@16: 
Chris@16:         // specialized replacement of STL inplace_merge to avoid compilation
Chris@16:         // problems with respect to the array_triple iterator
Chris@16:         void inplace_merge (array_size_type beg, array_size_type mid, array_size_type end) const {
Chris@16:             array_size_type len_lef = mid - beg;
Chris@16:             array_size_type len_rig = end - mid;
Chris@16: 
Chris@16:             if (len_lef == 1 && len_rig == 1) {
Chris@16:                 if ((index1_data_[mid] < index1_data_[beg]) ||
Chris@16:                     ((index1_data_[mid] == index1_data_[beg]) && (index2_data_[mid] < index2_data_[beg])))
Chris@16:                     {
Chris@16:                         std::swap(index1_data_[beg], index1_data_[mid]);
Chris@16:                         std::swap(index2_data_[beg], index2_data_[mid]);
Chris@16:                         std::swap(value_data_[beg], value_data_[mid]);
Chris@16:                     }
Chris@16:             } else if (len_lef > 0 && len_rig > 0) {
Chris@16:                 array_size_type lef_mid, rig_mid;
Chris@16:                 if (len_lef >= len_rig) {
Chris@16:                     lef_mid = (beg + mid) / 2;
Chris@16:                     rig_mid = lower_bound(mid, end, lef_mid);
Chris@16:                 } else {
Chris@16:                     rig_mid = (mid + end) / 2;
Chris@16:                     lef_mid = lower_bound(beg, mid, rig_mid);
Chris@16:                 }
Chris@16:                 std::rotate(&index1_data_[0] + lef_mid, &index1_data_[0] + mid, &index1_data_[0] + rig_mid);
Chris@16:                 std::rotate(&index2_data_[0] + lef_mid, &index2_data_[0] + mid, &index2_data_[0] + rig_mid);
Chris@16:                 std::rotate(&value_data_[0] + lef_mid, &value_data_[0] + mid, &value_data_[0] + rig_mid);
Chris@16: 
Chris@16:                 array_size_type new_mid = lef_mid + rig_mid - mid;
Chris@16:                 inplace_merge(beg, lef_mid, new_mid);
Chris@16:                 inplace_merge(new_mid, rig_mid, end);
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16:         // Sorting and summation of duplicates
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void sort () const {
Chris@16:             if (! sorted_ && filled_ > 0) {
Chris@16:                 typedef index_triple_array<index_array_type, index_array_type, value_array_type> array_triple;
Chris@16:                 array_triple ita (filled_, index1_data_, index2_data_, value_data_);
Chris@16: #ifndef BOOST_UBLAS_COO_ALWAYS_DO_FULL_SORT
Chris@16:                 const typename array_triple::iterator iunsorted = ita.begin () + sorted_filled_;
Chris@16:                 // sort new elements and merge
Chris@16:                 std::sort (iunsorted, ita.end ());
Chris@16:                 inplace_merge(0, sorted_filled_, filled_);
Chris@16: #else
Chris@16:                 const typename array_triple::iterator iunsorted = ita.begin ();
Chris@16:                 std::sort (iunsorted, ita.end ());
Chris@16: #endif                
Chris@16:                 // sum duplicates with += and remove
Chris@16:                 array_size_type filled = 0;
Chris@16:                 for (array_size_type i = 1; i < filled_; ++ i) {
Chris@16:                     if (index1_data_ [filled] != index1_data_ [i] ||
Chris@16:                         index2_data_ [filled] != index2_data_ [i]) {
Chris@16:                         ++ filled;
Chris@16:                         if (filled != i) {
Chris@16:                             index1_data_ [filled] = index1_data_ [i];
Chris@16:                             index2_data_ [filled] = index2_data_ [i];
Chris@16:                             value_data_ [filled] = value_data_ [i];
Chris@16:                         }
Chris@16:                     } else {
Chris@16:                         value_data_ [filled] += value_data_ [i];
Chris@16:                     }
Chris@16:                 }
Chris@16:                 filled_ = filled + 1;
Chris@16:                 sorted_filled_ = filled_;
Chris@16:                 sorted_ = true;
Chris@16:                 storage_invariants ();
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16:         // Back element insertion and erasure
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void push_back (size_type i, size_type j, const_reference t) {
Chris@16:             size_type element1 = layout_type::index_M (i, j);
Chris@16:             size_type element2 = layout_type::index_m (i, j);
Chris@16:             // must maintain sort order
Chris@16:             BOOST_UBLAS_CHECK (sorted_ && 
Chris@16:                     (filled_ == 0 ||
Chris@16:                     index1_data_ [filled_ - 1] < k_based (element1) ||
Chris@16:                     (index1_data_ [filled_ - 1] == k_based (element1) && index2_data_ [filled_ - 1] < k_based (element2)))
Chris@16:                     , external_logic ());
Chris@16:             if (filled_ >= capacity_)
Chris@16:                 reserve (2 * filled_, true);
Chris@16:             BOOST_UBLAS_CHECK (filled_ < capacity_, internal_logic ());
Chris@16:             index1_data_ [filled_] = k_based (element1);
Chris@16:             index2_data_ [filled_] = k_based (element2);
Chris@16:             value_data_ [filled_] = t;
Chris@16:             ++ filled_;
Chris@16:             sorted_filled_ = filled_;
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void pop_back () {
Chris@16:             // ISSUE invariants could be simpilfied if sorted required as precondition
Chris@16:             BOOST_UBLAS_CHECK (filled_ > 0, external_logic ());
Chris@16:             -- filled_;
Chris@16:             sorted_filled_ = (std::min) (sorted_filled_, filled_);
Chris@16:             sorted_ = sorted_filled_ = filled_;
Chris@16:             storage_invariants ();
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use index array iterator
Chris@16:         typedef typename IA::const_iterator vector_const_subiterator_type;
Chris@16:         typedef typename IA::iterator vector_subiterator_type;
Chris@16:         typedef typename IA::const_iterator const_subiterator_type;
Chris@16:         typedef typename IA::iterator subiterator_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference at_element (size_type i, size_type j) {
Chris@16:             pointer p = find_element (i, j);
Chris@16:             BOOST_UBLAS_CHECK (p, bad_index ());
Chris@16:             return *p;
Chris@16:         }
Chris@16: 
Chris@16:     public:
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
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 This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         const_iterator1 find1 (int rank, size_type i, size_type j, int direction = 1) const {
Chris@16:             sort ();
Chris@16:             for (;;) {
Chris@16:                 size_type address1 (layout_type::index_M (i, j));
Chris@16:                 size_type address2 (layout_type::index_m (i, j));
Chris@16:                 vector_const_subiterator_type itv_begin (detail::lower_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (address1), std::less<size_type> ()));
Chris@16:                 vector_const_subiterator_type itv_end (detail::upper_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (address1), std::less<size_type> ()));
Chris@16: 
Chris@16:                 const_subiterator_type it_begin (index2_data_.begin () + (itv_begin - index1_data_.begin ()));
Chris@16:                 const_subiterator_type it_end (index2_data_.begin () + (itv_end - index1_data_.begin ()));
Chris@16: 
Chris@16:                 const_subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (address2), std::less<size_type> ()));
Chris@16:                 vector_const_subiterator_type itv (index1_data_.begin () + (it - index2_data_.begin ()));
Chris@16:                 if (rank == 0)
Chris@16:                     return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (it != it_end && zero_based (*it) == address2)
Chris@16:                     return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = zero_based (*it);
Chris@16:                     } else {
Chris@16:                         if (i >= size1_)
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         ++ i;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == index2_data_.begin () + array_size_type (zero_based (*itv)))
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = zero_based (*(it - 1));
Chris@16:                     } else {
Chris@16:                         if (i == 0)
Chris@16:                             return const_iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         -- i;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         iterator1 find1 (int rank, size_type i, size_type j, int direction = 1) {
Chris@16:             sort ();
Chris@16:             for (;;) {
Chris@16:                 size_type address1 (layout_type::index_M (i, j));
Chris@16:                 size_type address2 (layout_type::index_m (i, j));
Chris@16:                 vector_subiterator_type itv_begin (detail::lower_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (address1), std::less<size_type> ()));
Chris@16:                 vector_subiterator_type itv_end (detail::upper_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (address1), std::less<size_type> ()));
Chris@16: 
Chris@16:                 subiterator_type it_begin (index2_data_.begin () + (itv_begin - index1_data_.begin ()));
Chris@16:                 subiterator_type it_end (index2_data_.begin () + (itv_end - index1_data_.begin ()));
Chris@16: 
Chris@16:                 subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (address2), std::less<size_type> ()));
Chris@16:                 vector_subiterator_type itv (index1_data_.begin () + (it - index2_data_.begin ()));
Chris@16:                 if (rank == 0)
Chris@16:                     return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (it != it_end && zero_based (*it) == address2)
Chris@16:                     return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = zero_based (*it);
Chris@16:                     } else {
Chris@16:                         if (i >= size1_)
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         ++ i;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_i ()) {
Chris@16:                         if (it == index2_data_.begin () + array_size_type (zero_based (*itv)))
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         i = zero_based (*(it - 1));
Chris@16:                     } else {
Chris@16:                         if (i == 0)
Chris@16:                             return iterator1 (*this, rank, i, j, itv, it);
Chris@16:                         -- i;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         const_iterator2 find2 (int rank, size_type i, size_type j, int direction = 1) const {
Chris@16:             sort ();
Chris@16:             for (;;) {
Chris@16:                 size_type address1 (layout_type::index_M (i, j));
Chris@16:                 size_type address2 (layout_type::index_m (i, j));
Chris@16:                 vector_const_subiterator_type itv_begin (detail::lower_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (address1), std::less<size_type> ()));
Chris@16:                 vector_const_subiterator_type itv_end (detail::upper_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (address1), std::less<size_type> ()));
Chris@16: 
Chris@16:                 const_subiterator_type it_begin (index2_data_.begin () + (itv_begin - index1_data_.begin ()));
Chris@16:                 const_subiterator_type it_end (index2_data_.begin () + (itv_end - index1_data_.begin ()));
Chris@16: 
Chris@16:                 const_subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (address2), std::less<size_type> ()));
Chris@16:                 vector_const_subiterator_type itv (index1_data_.begin () + (it - index2_data_.begin ()));
Chris@16:                 if (rank == 0)
Chris@16:                     return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (it != it_end && zero_based (*it) == address2)
Chris@16:                     return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = zero_based (*it);
Chris@16:                     } else {
Chris@16:                         if (j >= size2_)
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         ++ j;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == index2_data_.begin () + array_size_type (zero_based (*itv)))
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = zero_based (*(it - 1));
Chris@16:                     } else {
Chris@16:                         if (j == 0)
Chris@16:                             return const_iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         -- j;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.    
Chris@16:         iterator2 find2 (int rank, size_type i, size_type j, int direction = 1) {
Chris@16:             sort ();
Chris@16:             for (;;) {
Chris@16:                 size_type address1 (layout_type::index_M (i, j));
Chris@16:                 size_type address2 (layout_type::index_m (i, j));
Chris@16:                 vector_subiterator_type itv_begin (detail::lower_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (address1), std::less<size_type> ()));
Chris@16:                 vector_subiterator_type itv_end (detail::upper_bound (index1_data_.begin (), index1_data_.begin () + filled_, k_based (address1), std::less<size_type> ()));
Chris@16: 
Chris@16:                 subiterator_type it_begin (index2_data_.begin () + (itv_begin - index1_data_.begin ()));
Chris@16:                 subiterator_type it_end (index2_data_.begin () + (itv_end - index1_data_.begin ()));
Chris@16: 
Chris@16:                 subiterator_type it (detail::lower_bound (it_begin, it_end, k_based (address2), std::less<size_type> ()));
Chris@16:                 vector_subiterator_type itv (index1_data_.begin () + (it - index2_data_.begin ()));
Chris@16:                 if (rank == 0)
Chris@16:                     return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (it != it_end && zero_based (*it) == address2)
Chris@16:                     return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                 if (direction > 0) {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == it_end)
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = zero_based (*it);
Chris@16:                     } else {
Chris@16:                         if (j >= size2_)
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         ++ j;
Chris@16:                     }
Chris@16:                 } else /* if (direction < 0)  */ {
Chris@16:                     if (layout_type::fast_j ()) {
Chris@16:                         if (it == index2_data_.begin () + array_size_type (zero_based (*itv)))
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         j = zero_based (*(it - 1));
Chris@16:                     } else {
Chris@16:                         if (j == 0)
Chris@16:                             return iterator2 (*this, rank, i, j, itv, it);
Chris@16:                         -- j;
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16: 
Chris@16: 
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<coordinate_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename coordinate_matrix::value_type value_type;
Chris@16:             typedef typename coordinate_matrix::difference_type difference_type;
Chris@16:             typedef typename coordinate_matrix::const_reference reference;
Chris@16:             typedef const typename coordinate_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, int rank, size_type i, size_type j, const vector_const_subiterator_type &itv, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()), rank_ (it.rank_), i_ (it.i_), j_ (it.j_), itv_ (it.itv_), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     i_ = index1 () + 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find1 (rank_, i_, j_, 1);
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     i_ = index1 () - 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find1 (rank_, i_, j_, -1);
Chris@16:                 }
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 (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     return (*this) ().value_data_ [it_ - (*this) ().index2_data_.begin ()];
Chris@16:                 } else {
Chris@16:                     return (*this) () (i_, j_);
Chris@16:                 }
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:                 BOOST_UBLAS_CHECK (*this != (*this) ().find1 (0, (*this) ().size1 (), j_), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_)) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_)) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_const_subiterator_type itv_;
Chris@16:             const_subiterator_type it_;
Chris@16:         };
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:         class iterator1:
Chris@16:             public container_reference<coordinate_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename coordinate_matrix::value_type value_type;
Chris@16:             typedef typename coordinate_matrix::difference_type difference_type;
Chris@16:             typedef typename coordinate_matrix::true_reference reference;
Chris@16:             typedef typename coordinate_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, int rank, size_type i, size_type j, const vector_subiterator_type &itv, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     i_ = index1 () + 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find1 (rank_, i_, j_, 1);
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_i ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     i_ = index1 () - 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find1 (rank_, i_, j_, -1);
Chris@16:                 }
Chris@16:                 return *this;
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:                 if (rank_ == 1) {
Chris@16:                     return (*this) ().value_data_ [it_ - (*this) ().index2_data_.begin ()];
Chris@16:                 } else {
Chris@16:                     return (*this) ().at_element (i_, j_);
Chris@16:                 }
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:                 BOOST_UBLAS_CHECK (*this != (*this) ().find1 (0, (*this) ().size1 (), j_), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_)) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_)) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_subiterator_type itv_;
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
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:         class const_iterator2:
Chris@16:             public container_const_reference<coordinate_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename coordinate_matrix::value_type value_type;
Chris@16:             typedef typename coordinate_matrix::difference_type difference_type;
Chris@16:             typedef typename coordinate_matrix::const_reference reference;
Chris@16:             typedef const typename coordinate_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, int rank, size_type i, size_type j, const vector_const_subiterator_type itv, const const_subiterator_type &it):
Chris@16:                 container_const_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()), rank_ (it.rank_), i_ (it.i_), j_ (it.j_), itv_ (it.itv_), it_ (it.it_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     j_ = index2 () + 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find2 (rank_, i_, j_, 1);
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     j_ = index2 () - 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find2 (rank_, i_, j_, -1);
Chris@16:                 }
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 (index1 () < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (index2 () < (*this) ().size2 (), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     return (*this) ().value_data_ [it_ - (*this) ().index2_data_.begin ()];
Chris@16:                 } else {
Chris@16:                     return (*this) () (i_, j_);
Chris@16:                 }
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:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_)) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (*this != (*this) ().find2 (0, i_, (*this) ().size2 ()), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_)) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_const_subiterator_type itv_;
Chris@16:             const_subiterator_type it_;
Chris@16:         };
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:         class iterator2:
Chris@16:             public container_reference<coordinate_matrix>,
Chris@16:             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename coordinate_matrix::value_type value_type;
Chris@16:             typedef typename coordinate_matrix::difference_type difference_type;
Chris@16:             typedef typename coordinate_matrix::true_reference reference;
Chris@16:             typedef typename coordinate_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> (), rank_ (), i_ (), j_ (), itv_ (), it_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, int rank, size_type i, size_type j, const vector_subiterator_type &itv, const subiterator_type &it):
Chris@16:                 container_reference<self_type> (m), rank_ (rank), i_ (i), j_ (j), itv_ (itv), it_ (it) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     ++ it_;
Chris@16:                 else {
Chris@16:                     j_ = index2 () + 1;
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find2 (rank_, i_, j_, 1);
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 if (rank_ == 1 && layout_type::fast_j ())
Chris@16:                     -- it_;
Chris@16:                 else {
Chris@16:                     j_ = index2 ();
Chris@16:                     if (rank_ == 1)
Chris@16:                         *this = (*this) ().find2 (rank_, i_, j_, -1);
Chris@16:                 }
Chris@16:                 return *this;
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:                 if (rank_ == 1) {
Chris@16:                     return (*this) ().value_data_ [it_ - (*this) ().index2_data_.begin ()];
Chris@16:                 } else {
Chris@16:                     return (*this) ().at_element (i_, j_);
Chris@16:                 }
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:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_M ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_)) < (*this) ().size1 (), bad_index ());
Chris@16:                     return layout_type::index_M ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return i_;
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (*this != (*this) ().find2 (0, i_, (*this) ().size2 ()), bad_index ());
Chris@16:                 if (rank_ == 1) {
Chris@16:                     BOOST_UBLAS_CHECK (layout_type::index_m ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_)) < (*this) ().size2 (), bad_index ());
Chris@16:                     return layout_type::index_m ((*this) ().zero_based (*itv_), (*this) ().zero_based (*it_));
Chris@16:                 } else {
Chris@16:                     return j_;
Chris@16:                 }
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:                 rank_ = it.rank_;
Chris@16:                 i_ = it.i_;
Chris@16:                 j_ = it.j_;
Chris@16:                 itv_ = it.itv_;
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 (rank_ == it.rank_, internal_logic ());
Chris@16:                 if (rank_ == 1 || it.rank_ == 1) {
Chris@16:                     return it_ == it.it_;
Chris@16:                 } else {
Chris@16:                     return i_ == it.i_ && j_ == it.j_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int rank_;
Chris@16:             size_type i_;
Chris@16:             size_type j_;
Chris@16:             vector_subiterator_type itv_;
Chris@16:             subiterator_type it_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
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:             serialization::collection_size_type s1 (size1_);
Chris@16:             serialization::collection_size_type s2 (size2_);
Chris@16:             ar & serialization::make_nvp("size1",s1);
Chris@16:             ar & serialization::make_nvp("size2",s2);
Chris@16:             if (Archive::is_loading::value) {
Chris@16:                 size1_ = s1;
Chris@16:                 size2_ = s2;
Chris@16:             }
Chris@16:             ar & serialization::make_nvp("capacity", capacity_);
Chris@16:             ar & serialization::make_nvp("filled", filled_);
Chris@16:             ar & serialization::make_nvp("sorted_filled", sorted_filled_);
Chris@16:             ar & serialization::make_nvp("sorted", sorted_);
Chris@16:             ar & serialization::make_nvp("index1_data", index1_data_);
Chris@16:             ar & serialization::make_nvp("index2_data", index2_data_);
Chris@16:             ar & serialization::make_nvp("value_data", value_data_);
Chris@16:             storage_invariants();
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         void storage_invariants () const
Chris@16:         {
Chris@16:             BOOST_UBLAS_CHECK (capacity_ == index1_data_.size (), internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (capacity_ == index2_data_.size (), internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (capacity_ == value_data_.size (), internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (filled_ <= capacity_, internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (sorted_filled_ <= filled_, internal_logic ());
Chris@16:             BOOST_UBLAS_CHECK (sorted_ == (sorted_filled_ == filled_), internal_logic ());
Chris@16:         }
Chris@16: 
Chris@16:         size_type size1_;
Chris@16:         size_type size2_;
Chris@16:         array_size_type capacity_;
Chris@16:         mutable array_size_type filled_;
Chris@16:         mutable array_size_type sorted_filled_;
Chris@16:         mutable bool sorted_;
Chris@16:         mutable index_array_type index1_data_;
Chris@16:         mutable index_array_type index2_data_;
Chris@16:         mutable value_array_type value_data_;
Chris@16:         static const value_type zero_;
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         static size_type zero_based (size_type k_based_index) {
Chris@16:             return k_based_index - IB;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         static size_type k_based (size_type zero_based_index) {
Chris@16:             return zero_based_index + IB;
Chris@16:         }
Chris@16: 
Chris@16:         friend class iterator1;
Chris@16:         friend class iterator2;
Chris@16:         friend class const_iterator1;
Chris@16:         friend class const_iterator2;
Chris@16:     };
Chris@16: 
Chris@16:     template<class T, class L, std::size_t IB, class IA, class TA>
Chris@16:     const typename coordinate_matrix<T, L, IB, IA, TA>::value_type coordinate_matrix<T, L, IB, IA, TA>::zero_ = value_type/*zero*/();
Chris@16: 
Chris@16: }}}
Chris@16: 
Chris@16: #endif