Chris@16: //
Chris@16: //  Copyright (c) 2000-2002
Chris@16: //  Joerg Walter, Mathias Koch
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_TRIANGULAR_
Chris@16: #define _BOOST_UBLAS_TRIANGULAR_
Chris@16: 
Chris@16: #include <boost/numeric/ublas/matrix.hpp>
Chris@16: #include <boost/numeric/ublas/detail/temporary.hpp>
Chris@16: #include <boost/type_traits/remove_const.hpp>
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:     namespace detail {
Chris@16:         using namespace boost::numeric::ublas;
Chris@16: 
Chris@16:         // Matrix resizing algorithm
Chris@16:         template <class L, class T, class M>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void matrix_resize_preserve (M& m, M& temporary) {
Chris@16:             typedef L layout_type;
Chris@16:             typedef T triangular_type;
Chris@16:             typedef typename M::size_type size_type;
Chris@16:             const size_type msize1 (m.size1 ());        // original size
Chris@16:             const size_type msize2 (m.size2 ());
Chris@16:             const size_type size1 (temporary.size1 ());    // new size is specified by temporary
Chris@16:             const size_type size2 (temporary.size2 ());
Chris@16:             // Common elements to preserve
Chris@16:             const size_type size1_min = (std::min) (size1, msize1);
Chris@16:             const size_type size2_min = (std::min) (size2, msize2);
Chris@16:             // Order for major and minor sizes
Chris@16:             const size_type major_size = layout_type::size_M (size1_min, size2_min);
Chris@16:             const size_type minor_size = layout_type::size_m (size1_min, size2_min);
Chris@16:             // Indexing copy over major
Chris@16:             for (size_type major = 0; major != major_size; ++major) {
Chris@16:                 for (size_type minor = 0; minor != minor_size; ++minor) {
Chris@16:                         // find indexes - use invertability of element_ functions
Chris@16:                     const size_type i1 = layout_type::index_M(major, minor);
Chris@16:                     const size_type i2 = layout_type::index_m(major, minor);
Chris@16:                     if ( triangular_type::other(i1,i2) ) {
Chris@16:                         temporary.data () [triangular_type::element (layout_type (), i1, size1, i2, size2)] =
Chris@16:                             m.data() [triangular_type::element (layout_type (), i1, msize1, i2, msize2)];
Chris@16:                     }
Chris@16:                 }
Chris@16:             }
Chris@16:             m.assign_temporary (temporary);
Chris@16:         }
Chris@16:     }
Chris@16: 
Chris@16:     /** \brief A triangular matrix of values of type \c T.
Chris@16:      *
Chris@16:      * For a \f$(n \times n )\f$-dimensional lower triangular matrix and if \f$0 \leq i < n\f$, \f$0 \leq j < n\f$ and \f$i>j\f$ holds, 
Chris@16:      * \f$m_{i,j}=0\f$. Furthermore if \f$m_{i,i}=1\f$, the matrix is called unit lower triangular.
Chris@16:      *
Chris@16:      * For a \f$(n \times n )\f$-dimensional upper triangular matrix and if \f$0 \leq i < n\f$, \f$0 \leq j < n\f$ and \f$i<j\f$ holds, 
Chris@16:      * \f$m_{i,j}=0\f$. Furthermore if \f$m_{i,i}=1\f$, the matrix is called unit upper triangular.
Chris@16:      *
Chris@16:      * The default storage for triangular matrices is packed. Orientation and storage can also be specified. 
Chris@16:      * Default is \c row_major and and unbounded_array. It is \b not required by the storage to initialize 
Chris@16:      * elements of the matrix.
Chris@16:      *
Chris@16:      * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
Chris@16:      * \tparam TRI the type of the triangular matrix. It can either be \c lower or \c upper. Default is \c lower
Chris@16:      * \tparam L the storage organization. It can be either \c row_major or \c column_major. Default is \c row_major
Chris@16:      * \tparam A the type of Storage array. Default is \c unbounded_array
Chris@16:      */
Chris@16:     template<class T, class TRI, class L, class A>
Chris@16:     class triangular_matrix:
Chris@16:         public matrix_container<triangular_matrix<T, TRI, L, A> > {
Chris@16: 
Chris@16:         typedef T *pointer;
Chris@16:         typedef TRI triangular_type;
Chris@16:         typedef L layout_type;
Chris@16:         typedef triangular_matrix<T, TRI, L, A> self_type;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_container<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef typename A::size_type size_type;
Chris@16:         typedef typename A::difference_type difference_type;
Chris@16:         typedef T value_type;
Chris@16:         typedef const T &const_reference;
Chris@16:         typedef T &reference;
Chris@16:         typedef A array_type;
Chris@16: 
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef vector<T, A> vector_temporary_type;
Chris@16:         typedef matrix<T, L, A> matrix_temporary_type;  // general sub-matrix
Chris@16:         typedef packed_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:         triangular_matrix ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (0), size2_ (0), data_ (0) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_matrix (size_type size1, size_type size2):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), data_ (triangular_type::packed_size (layout_type (), size1, size2)) {
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_matrix (size_type size1, size_type size2, const array_type &data):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (size1), size2_ (size2), data_ (data) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_matrix (const triangular_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:         triangular_matrix (const matrix_expression<AE> &ae):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size1_ (ae ().size1 ()), size2_ (ae ().size2 ()),
Chris@16:             data_ (triangular_type::packed_size (layout_type (), size1_, size2_)) {
Chris@16:             matrix_assign<scalar_assign> (*this, ae);
Chris@16:         }
Chris@16: 
Chris@16:         // Accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return size1_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const {
Chris@16:             return size2_;
Chris@16:         }
Chris@16: 
Chris@16:         // Storage accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const array_type &data () const {
Chris@16:             return data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         array_type &data () {
Chris@16:             return data_;
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool preserve = true) {
Chris@16:             if (preserve) {
Chris@16:                 self_type temporary (size1, size2);
Chris@16:                 detail::matrix_resize_preserve<layout_type, triangular_type> (*this, temporary);
Chris@16:             }
Chris@16:             else {
Chris@16:                 data ().resize (triangular_type::packed_size (layout_type (), size1, size2));
Chris@16:                 size1_ = size1;
Chris@16:                 size2_ = size2;
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize_packed_preserve (size_type size1, size_type size2) {
Chris@16:             size1_ = size1;
Chris@16:             size2_ = size2;
Chris@16:             data ().resize (triangular_type::packed_size (layout_type (), size1_, size2_), value_type ());
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type i, size_type j) const {
Chris@16:             BOOST_UBLAS_CHECK (i < size1_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2_, bad_index ());
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return data () [triangular_type::element (layout_type (), i, size1_, j, size2_)];
Chris@16:             else if (triangular_type::one (i, j))
Chris@16:                 return one_;
Chris@16:             else
Chris@16:                 return zero_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference at_element (size_type i, size_type j) {
Chris@16:             BOOST_UBLAS_CHECK (i < size1_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2_, bad_index ());
Chris@16:             return data () [triangular_type::element (layout_type (), i, size1_, j, size2_)];
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16:             BOOST_UBLAS_CHECK (i < size1_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2_, bad_index ());
Chris@16:             if (!triangular_type::other (i, j)) {
Chris@16:                 bad_index ().raise ();
Chris@16:                 // NEVER reached
Chris@16:             }
Chris@16:             return data () [triangular_type::element (layout_type (), i, size1_, j, size2_)];
Chris@16:         }
Chris@16:         
Chris@16:         // Element assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference insert_element (size_type i, size_type j, const_reference t) {
Chris@16:             return (operator () (i, j) = t);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void erase_element (size_type i, size_type j) {
Chris@16:             operator () (i, j) = value_type/*zero*/();
Chris@16:         }
Chris@16:         
Chris@16:         // Zeroing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void clear () {
Chris@16:             // data ().clear ();
Chris@16:             std::fill (data ().begin (), data ().end (), value_type/*zero*/());
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_matrix &operator = (const triangular_matrix &m) {
Chris@16:             size1_ = m.size1_;
Chris@16:             size2_ = m.size2_;
Chris@16:             data () = m.data ();
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_matrix &assign_temporary (triangular_matrix &m) {
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_matrix &operator = (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_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:         triangular_matrix& operator += (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this + ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_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:         triangular_matrix& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this - ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_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:         triangular_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:         triangular_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 (triangular_matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 // BOOST_UBLAS_CHECK (size2_ == m.size2_, bad_size ());
Chris@16:                 std::swap (size1_, m.size1_);
Chris@16:                 std::swap (size2_, m.size2_);
Chris@16:                 data ().swap (m.data ());
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (triangular_matrix &m1, triangular_matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
Chris@16:         typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
Chris@16:         typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1;
Chris@16:         typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2;
Chris@16: #else
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
Chris@16: #endif
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16:         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 find1 (int rank, size_type i, size_type j) const {
Chris@16:             if (rank == 1)
Chris@16:                 i = triangular_type::restrict1 (i, j, size1_, size2_);
Chris@16:             if (rank == 0)
Chris@16:                 i = triangular_type::global_restrict1 (i, size1_, j, size2_);
Chris@16:             return const_iterator1 (*this, i, j);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 find1 (int rank, size_type i, size_type j) {
Chris@16:             if (rank == 1)
Chris@16:                 i = triangular_type::mutable_restrict1 (i, j, size1_, size2_);
Chris@16:             if (rank == 0)
Chris@16:                 i = triangular_type::global_mutable_restrict1 (i, size1_, j, size2_);
Chris@16:             return iterator1 (*this, i, j);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 find2 (int rank, size_type i, size_type j) const {
Chris@16:             if (rank == 1)
Chris@16:                 j = triangular_type::restrict2 (i, j, size1_, size2_);
Chris@16:             if (rank == 0)
Chris@16:                 j = triangular_type::global_restrict2 (i, size1_, j, size2_);
Chris@16:             return const_iterator2 (*this, i, j);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 find2 (int rank, size_type i, size_type j) {
Chris@16:             if (rank == 1)
Chris@16:                 j = triangular_type::mutable_restrict2 (i, j, size1_, size2_);
Chris@16:             if (rank == 0)
Chris@16:                 j = triangular_type::global_mutable_restrict2 (i, size1_, j, size2_);
Chris@16:             return iterator2 (*this, i, j);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterators simply are indices.
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<triangular_matrix>,
Chris@16:             public random_access_iterator_base<packed_random_access_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename triangular_matrix::value_type value_type;
Chris@16:             typedef typename triangular_matrix::difference_type difference_type;
Chris@16:             typedef typename triangular_matrix::const_reference reference;
Chris@16:             typedef const typename triangular_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> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, size_type it1, size_type it2):
Chris@16:                 container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 ++ it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 -- it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator += (difference_type n) {
Chris@16:                 it1_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -= (difference_type n) {
Chris@16:                 it1_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ - it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 return (*this) () (it1_, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 return (*this) ().find2 (1, it1_, 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:                 return (*this) ().find2 (1, it1_, (*this) ().size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ == it.it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ < it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type it1_;
Chris@16:             size_type it2_;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return find1 (0, size1_, 0);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator1:
Chris@16:             public container_reference<triangular_matrix>,
Chris@16:             public random_access_iterator_base<packed_random_access_iterator_tag,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename triangular_matrix::value_type value_type;
Chris@16:             typedef typename triangular_matrix::difference_type difference_type;
Chris@16:             typedef typename triangular_matrix::reference reference;
Chris@16:             typedef typename triangular_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> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, size_type it1, size_type it2):
Chris@16:                 container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 ++ it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 -- it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator += (difference_type n) {
Chris@16:                 it1_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -= (difference_type n) {
Chris@16:                 it1_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ - it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 return (*this) () (it1_, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 begin () const {
Chris@16:                 return (*this) ().find2 (1, it1_, 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:                 return (*this) ().find2 (1, it1_, (*this) ().size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rbegin () const {
Chris@16:                 return reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rend () const {
Chris@16:                 return reverse_iterator2 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator = (const iterator1 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ == it.it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ < it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type it1_;
Chris@16:             size_type it2_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 begin1 () {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 end1 () {
Chris@16:             return find1 (0, size1_, 0);
Chris@16:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<triangular_matrix>,
Chris@16:             public random_access_iterator_base<packed_random_access_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename triangular_matrix::value_type value_type;
Chris@16:             typedef typename triangular_matrix::difference_type difference_type;
Chris@16:             typedef typename triangular_matrix::const_reference reference;
Chris@16:             typedef const typename triangular_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> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, size_type it1, size_type it2):
Chris@16:                 container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 ++ it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 -- it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator += (difference_type n) {
Chris@16:                 it2_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -= (difference_type n) {
Chris@16:                 it2_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ - it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 return (*this) () (it1_, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 return (*this) ().find1 (1, 0, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator1 end () const {
Chris@16:                 return (*this) ().find1 (1, (*this) ().size1 (), it2_);
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: 
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ == it.it2_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ < it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type it1_;
Chris@16:             size_type it2_;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator2:
Chris@16:             public container_reference<triangular_matrix>,
Chris@16:             public random_access_iterator_base<packed_random_access_iterator_tag,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename triangular_matrix::value_type value_type;
Chris@16:             typedef typename triangular_matrix::difference_type difference_type;
Chris@16:             typedef typename triangular_matrix::reference reference;
Chris@16:             typedef typename triangular_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> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, size_type it1, size_type it2):
Chris@16:                 container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 ++ it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 -- it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator += (difference_type n) {
Chris@16:                 it2_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -= (difference_type n) {
Chris@16:                 it2_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ - it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 return (*this) () (it1_, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 begin () const {
Chris@16:                 return (*this) ().find1 (1, 0, it2_);
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:                 return (*this) ().find1 (1, (*this) ().size1 (), it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rbegin () const {
Chris@16:                 return reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rend () const {
Chris@16:                 return reverse_iterator1 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator = (const iterator2 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ == it.it2_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ < it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type it1_;
Chris@16:             size_type it2_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 begin2 () {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 end2 () {
Chris@16:             return find2 (0, 0, size2_);
Chris@16:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rbegin1 () {
Chris@16:             return reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rend1 () {
Chris@16:             return reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rbegin2 () {
Chris@16:             return reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rend2 () {
Chris@16:             return reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@16: 
Chris@16:     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:         static const value_type one_;
Chris@16:     };
Chris@16: 
Chris@16:     template<class T, class TRI, class L, class A>
Chris@16:     const typename triangular_matrix<T, TRI, L, A>::value_type triangular_matrix<T, TRI, L, A>::zero_ = value_type/*zero*/();
Chris@16:     template<class T, class TRI, class L, class A>
Chris@16:     const typename triangular_matrix<T, TRI, L, A>::value_type triangular_matrix<T, TRI, L, A>::one_ (1);
Chris@16: 
Chris@16: 
Chris@16:     // Triangular matrix adaptor class
Chris@16:     template<class M, class TRI>
Chris@16:     class triangular_adaptor:
Chris@16:         public matrix_expression<triangular_adaptor<M, TRI> > {
Chris@16: 
Chris@16:         typedef triangular_adaptor<M, TRI> self_type;
Chris@16: 
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_expression<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef const M const_matrix_type;
Chris@16:         typedef M matrix_type;
Chris@16:         typedef TRI triangular_type;
Chris@16:         typedef typename M::size_type size_type;
Chris@16:         typedef typename M::difference_type difference_type;
Chris@16:         typedef typename M::value_type value_type;
Chris@16:         typedef typename M::const_reference const_reference;
Chris@16:         typedef typename boost::mpl::if_<boost::is_const<M>,
Chris@16:                                           typename M::const_reference,
Chris@16:                                           typename M::reference>::type reference;
Chris@16:         typedef typename boost::mpl::if_<boost::is_const<M>,
Chris@16:                                           typename M::const_closure_type,
Chris@16:                                           typename M::closure_type>::type matrix_closure_type;
Chris@16:         typedef const self_type const_closure_type;
Chris@16:         typedef self_type closure_type;
Chris@16:         // Replaced by _temporary_traits to avoid type requirements on M
Chris@16:         //typedef typename M::vector_temporary_type vector_temporary_type;
Chris@16:         //typedef typename M::matrix_temporary_type matrix_temporary_type;
Chris@16:         typedef typename storage_restrict_traits<typename M::storage_category,
Chris@16:                                                  packed_proxy_tag>::storage_category storage_category;
Chris@16:         typedef typename M::orientation_category orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_adaptor (matrix_type &data):
Chris@16:             matrix_expression<self_type> (),
Chris@16:             data_ (data) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_adaptor (const triangular_adaptor &m):
Chris@16:             matrix_expression<self_type> (),
Chris@16:             data_ (m.data_) {}
Chris@16: 
Chris@16:         // Accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return data_.size1 ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const {
Chris@16:             return data_.size2 ();
Chris@16:         }
Chris@16: 
Chris@16:         // Storage accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const matrix_closure_type &data () const {
Chris@16:             return data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix_closure_type &data () {
Chris@16:             return data_;
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16: #ifndef BOOST_UBLAS_PROXY_CONST_MEMBER
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type i, size_type j) const {
Chris@16:             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return data () (i, j);
Chris@16:             else if (triangular_type::one (i, j))
Chris@16:                 return one_;
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:             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
Chris@16:             if (!triangular_type::other (i, j)) {
Chris@16:                 bad_index ().raise ();
Chris@16:                 // NEVER reached
Chris@16:             }
Chris@16:             return data () (i, j);
Chris@16:         }
Chris@16: #else
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) const {
Chris@16:             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
Chris@16:             if (!triangular_type::other (i, j)) {
Chris@16:                 bad_index ().raise ();
Chris@16:                 // NEVER reached
Chris@16:             }
Chris@16:             return data () (i, j);
Chris@16:         }
Chris@16: #endif
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_adaptor &operator = (const triangular_adaptor &m) {
Chris@16:             matrix_assign<scalar_assign> (*this, m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_adaptor &assign_temporary (triangular_adaptor &m) {
Chris@16:             *this = m;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_adaptor &operator = (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_assign> (*this, matrix<value_type> (ae));
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_adaptor &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:         triangular_adaptor& operator += (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_assign> (*this, matrix<value_type> (*this + ae));
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_adaptor &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:         triangular_adaptor& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_assign> (*this, matrix<value_type> (*this - ae));
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         triangular_adaptor &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:         triangular_adaptor& 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:         triangular_adaptor& operator /= (const AT &at) {
Chris@16:             matrix_assign_scalar<scalar_divides_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Closure comparison
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bool same_closure (const triangular_adaptor &ta) const {
Chris@16:             return (*this).data ().same_closure (ta.data ());
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (triangular_adaptor &m) {
Chris@16:             if (this != &m)
Chris@16:                 matrix_swap<scalar_swap> (*this, m);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (triangular_adaptor &m1, triangular_adaptor &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:    private:
Chris@16:         typedef typename M::const_iterator1 const_subiterator1_type;
Chris@16:         typedef typename boost::mpl::if_<boost::is_const<M>,
Chris@16:                                           typename M::const_iterator1,
Chris@16:                                           typename M::iterator1>::type subiterator1_type;
Chris@16:         typedef typename M::const_iterator2 const_subiterator2_type;
Chris@16:         typedef typename boost::mpl::if_<boost::is_const<M>,
Chris@16:                                           typename M::const_iterator2,
Chris@16:                                           typename M::iterator2>::type subiterator2_type;
Chris@16: 
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
Chris@16:         typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
Chris@16:         typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1;
Chris@16:         typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2;
Chris@16: #else
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
Chris@16: #endif
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16:         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 find1 (int rank, size_type i, size_type j) const {
Chris@16:             if (rank == 1)
Chris@16:                 i = triangular_type::restrict1 (i, j, size1(), size2());
Chris@16:             if (rank == 0)
Chris@16:                 i = triangular_type::global_restrict1 (i, size1(), j, size2());
Chris@16:             return const_iterator1 (*this, data ().find1 (rank, i, j));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 find1 (int rank, size_type i, size_type j) {
Chris@16:             if (rank == 1)
Chris@16:                 i = triangular_type::mutable_restrict1 (i, j, size1(), size2());
Chris@16:             if (rank == 0)
Chris@16:                 i = triangular_type::global_mutable_restrict1 (i, size1(), j, size2());
Chris@16:             return iterator1 (*this, data ().find1 (rank, i, j));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 find2 (int rank, size_type i, size_type j) const {
Chris@16:             if (rank == 1)
Chris@16:                 j = triangular_type::restrict2 (i, j, size1(), size2());
Chris@16:             if (rank == 0)
Chris@16:                 j = triangular_type::global_restrict2 (i, size1(), j, size2());
Chris@16:             return const_iterator2 (*this, data ().find2 (rank, i, j));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 find2 (int rank, size_type i, size_type j) {
Chris@16:             if (rank == 1)
Chris@16:                 j = triangular_type::mutable_restrict2 (i, j, size1(), size2());
Chris@16:             if (rank == 0)
Chris@16:                 j = triangular_type::global_mutable_restrict2 (i, size1(), j, size2());
Chris@16:             return iterator2 (*this, data ().find2 (rank, i, j));
Chris@16:         }
Chris@16: 
Chris@16:         // Iterators simply are indices.
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<triangular_adaptor>,
Chris@16:             public random_access_iterator_base<typename iterator_restrict_traits<
Chris@16:                                                    typename const_subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename const_subiterator1_type::value_type value_type;
Chris@16:             typedef typename const_subiterator1_type::difference_type difference_type;
Chris@16:             typedef typename const_subiterator1_type::reference reference;
Chris@16:             typedef typename const_subiterator1_type::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> (), it1_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, const const_subiterator1_type &it1):
Chris@16:                 container_const_reference<self_type> (m), it1_ (it1) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it1_ (it.it1_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 ++ it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 -- it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator += (difference_type n) {
Chris@16:                 it1_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -= (difference_type n) {
Chris@16:                 it1_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it1_ - it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 size_type i = index1 ();
Chris@16:                 size_type j = index2 ();
Chris@16:                 BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
Chris@16:                 if (triangular_type::other (i, j))
Chris@16:                     return *it1_;
Chris@16:                 else
Chris@16:                     return (*this) () (i, j);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 return (*this) ().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:                 return (*this) ().find2 (1, index1 (), (*this) ().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: 
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_.index1 ();
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it1_.index2 ();
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:                 it1_ = it.it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it1_ == it.it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it1_ < it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator1_type it1_;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return find1 (0, size1 (), 0);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator1:
Chris@16:             public container_reference<triangular_adaptor>,
Chris@16:             public random_access_iterator_base<typename iterator_restrict_traits<
Chris@16:                                                    typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename subiterator1_type::value_type value_type;
Chris@16:             typedef typename subiterator1_type::difference_type difference_type;
Chris@16:             typedef typename subiterator1_type::reference reference;
Chris@16:             typedef typename subiterator1_type::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> (), it1_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, const subiterator1_type &it1):
Chris@16:                 container_reference<self_type> (m), it1_ (it1) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 ++ it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 -- it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator += (difference_type n) {
Chris@16:                 it1_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -= (difference_type n) {
Chris@16:                 it1_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it1_ - it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 size_type i = index1 ();
Chris@16:                 size_type j = index2 ();
Chris@16:                 BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
Chris@16:                 if (triangular_type::other (i, j))
Chris@16:                     return *it1_;
Chris@16:                 else
Chris@16:                     return (*this) () (i, j);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 begin () const {
Chris@16:                 return (*this) ().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:                 return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rbegin () const {
Chris@16:                 return reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rend () const {
Chris@16:                 return reverse_iterator2 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_.index1 ();
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it1_.index2 ();
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:                 it1_ = it.it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it1_ == it.it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it1_ < it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             subiterator1_type it1_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 begin1 () {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 end1 () {
Chris@16:             return find1 (0, size1 (), 0);
Chris@16:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<triangular_adaptor>,
Chris@16:             public random_access_iterator_base<typename iterator_restrict_traits<
Chris@16:                                                    typename const_subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename const_subiterator2_type::value_type value_type;
Chris@16:             typedef typename const_subiterator2_type::difference_type difference_type;
Chris@16:             typedef typename const_subiterator2_type::reference reference;
Chris@16:             typedef typename const_subiterator2_type::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> (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, const const_subiterator2_type &it2):
Chris@16:                 container_const_reference<self_type> (m), it2_ (it2) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it2_ (it.it2_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 ++ it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 -- it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator += (difference_type n) {
Chris@16:                 it2_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -= (difference_type n) {
Chris@16:                 it2_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it2_ - it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 size_type i = index1 ();
Chris@16:                 size_type j = index2 ();
Chris@16:                 BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
Chris@16:                 if (triangular_type::other (i, j))
Chris@16:                     return *it2_;
Chris@16:                 else
Chris@16:                     return (*this) () (i, j);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 return (*this) ().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:                 return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rbegin () const {
Chris@16:                 return const_reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it2_.index1 ();
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_.index2 ();
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:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it2_ == it.it2_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it2_ < it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             const_subiterator2_type it2_;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return find2 (0, 0, size2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator2:
Chris@16:             public container_reference<triangular_adaptor>,
Chris@16:             public random_access_iterator_base<typename iterator_restrict_traits<
Chris@16:                                                    typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename subiterator2_type::value_type value_type;
Chris@16:             typedef typename subiterator2_type::difference_type difference_type;
Chris@16:             typedef typename subiterator2_type::reference reference;
Chris@16:             typedef typename subiterator2_type::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> (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, const subiterator2_type &it2):
Chris@16:                 container_reference<self_type> (m), it2_ (it2) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 ++ it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 -- it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator += (difference_type n) {
Chris@16:                 it2_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -= (difference_type n) {
Chris@16:                 it2_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it2_ - it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 size_type i = index1 ();
Chris@16:                 size_type j = index2 ();
Chris@16:                 BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
Chris@16:                 BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
Chris@16:                 if (triangular_type::other (i, j))
Chris@16:                     return *it2_;
Chris@16:                 else
Chris@16:                     return (*this) () (i, j);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 begin () const {
Chris@16:                 return (*this) ().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:                 return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rbegin () const {
Chris@16:                 return reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rend () const {
Chris@16:                 return reverse_iterator1 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it2_.index1 ();
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_.index2 ();
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:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it2_ == it.it2_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it2_ < it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             subiterator2_type it2_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 begin2 () {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 end2 () {
Chris@16:             return find2 (0, 0, size2 ());
Chris@16:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rbegin1 () {
Chris@16:             return reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rend1 () {
Chris@16:             return reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rbegin2 () {
Chris@16:             return reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rend2 () {
Chris@16:             return reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         matrix_closure_type data_;
Chris@16:         static const value_type zero_;
Chris@16:         static const value_type one_;
Chris@16:     };
Chris@16: 
Chris@16:     template<class M, class TRI>
Chris@16:     const typename triangular_adaptor<M, TRI>::value_type triangular_adaptor<M, TRI>::zero_ = value_type/*zero*/();
Chris@16:     template<class M, class TRI>
Chris@16:     const typename triangular_adaptor<M, TRI>::value_type triangular_adaptor<M, TRI>::one_ (1);
Chris@16: 
Chris@16:     template <class M, class TRI>
Chris@16:     struct vector_temporary_traits< triangular_adaptor<M, TRI> >
Chris@16:     : vector_temporary_traits< typename boost::remove_const<M>::type > {} ;
Chris@16:     template <class M, class TRI>
Chris@16:     struct vector_temporary_traits< const triangular_adaptor<M, TRI> >
Chris@16:     : vector_temporary_traits< typename boost::remove_const<M>::type > {} ;
Chris@16: 
Chris@16:     template <class M, class TRI>
Chris@16:     struct matrix_temporary_traits< triangular_adaptor<M, TRI> >
Chris@16:     : matrix_temporary_traits< typename boost::remove_const<M>::type > {};
Chris@16:     template <class M, class TRI>
Chris@16:     struct matrix_temporary_traits< const triangular_adaptor<M, TRI> >
Chris@16:     : matrix_temporary_traits< typename boost::remove_const<M>::type > {};
Chris@16: 
Chris@16: 
Chris@16:     template<class E1, class E2>
Chris@16:     struct matrix_vector_solve_traits {
Chris@16:         typedef typename promote_traits<typename E1::value_type, typename E2::value_type>::promote_type promote_type;
Chris@16:         typedef vector<promote_type> result_type;
Chris@16:     };
Chris@16: 
Chris@16:     // Operations:
Chris@16:     //  n * (n - 1) / 2 + n = n * (n + 1) / 2 multiplications,
Chris@16:     //  n * (n - 1) / 2 additions
Chris@16: 
Chris@16:     // Dense (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         lower_tag, column_major_tag, dense_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e2 ().size ();
Chris@16:         for (size_type n = 0; n < size; ++ n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n) /= e1 () (n, n);
Chris@16:             if (t != value_type/*zero*/()) {
Chris@16:                 for (size_type m = n + 1; m < size; ++ m)
Chris@16:                     e2 () (m) -= e1 () (m, n) * t;
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Packed (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         lower_tag, column_major_tag, packed_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e2 ().size ();
Chris@16:         for (size_type n = 0; n < size; ++ n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n) /= e1 () (n, n);
Chris@16:             if (t != value_type/*zero*/()) {
Chris@16:                 typename E1::const_iterator1 it1e1 (e1 ().find1 (1, n + 1, n));
Chris@16:                 typename E1::const_iterator1 it1e1_end (e1 ().find1 (1, e1 ().size1 (), n));
Chris@16:                 difference_type m (it1e1_end - it1e1);
Chris@16:                 while (-- m >= 0)
Chris@16:                     e2 () (it1e1.index1 ()) -= *it1e1 * t, ++ it1e1;
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Sparse (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         lower_tag, column_major_tag, unknown_storage_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e2 ().size ();
Chris@16:         for (size_type n = 0; n < size; ++ n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n) /= e1 () (n, n);
Chris@16:             if (t != value_type/*zero*/()) {
Chris@16:                 typename E1::const_iterator1 it1e1 (e1 ().find1 (1, n + 1, n));
Chris@16:                 typename E1::const_iterator1 it1e1_end (e1 ().find1 (1, e1 ().size1 (), n));
Chris@16:                 while (it1e1 != it1e1_end)
Chris@16:                     e2 () (it1e1.index1 ()) -= *it1e1 * t, ++ it1e1;
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16: 
Chris@16:     // Dense (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         lower_tag, row_major_tag, dense_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e2 ().size ();
Chris@16:         for (size_type n = 0; n < size; ++ n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n) /= e1 () (n, n);
Chris@16:             if (t != value_type/*zero*/()) {
Chris@16:                 for (size_type m = n + 1; m < size; ++ m)
Chris@16:                     e2 () (m) -= e1 () (m, n) * t;
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Packed (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         lower_tag, row_major_tag, packed_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e2 ().size ();
Chris@16:         for (size_type n = 0; n < size; ++ n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n);
Chris@16:             typename E1::const_iterator2 it2e1 (e1 ().find2 (1, n, 0));
Chris@16:             typename E1::const_iterator2 it2e1_end (e1 ().find2 (1, n, n));
Chris@16:             while (it2e1 != it2e1_end) {
Chris@16:               t -= *it2e1 * e2 () (it2e1.index2());
Chris@16:               ++ it2e1;
Chris@16:             }
Chris@16:             e2() (n) = t / e1 () (n, n);
Chris@16:         }
Chris@16:     }
Chris@16:     // Sparse (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         lower_tag, row_major_tag, unknown_storage_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e2 ().size ();
Chris@16:         for (size_type n = 0; n < size; ++ n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n);
Chris@16:             typename E1::const_iterator2 it2e1 (e1 ().find2 (1, n, 0));
Chris@16:             typename E1::const_iterator2 it2e1_end (e1 ().find2 (1, n, n));
Chris@16:             while (it2e1 != it2e1_end) {
Chris@16:               t -= *it2e1 * e2 () (it2e1.index2());
Chris@16:               ++ it2e1;
Chris@16:             }
Chris@16:             e2() (n) = t / e1 () (n, n);
Chris@16:         }
Chris@16:     }
Chris@16: 
Chris@16:     // Redirectors :-)
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         lower_tag, column_major_tag) {
Chris@16:         typedef typename E1::storage_category storage_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        lower_tag (), column_major_tag (), storage_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         lower_tag, row_major_tag) {
Chris@16:         typedef typename E1::storage_category storage_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        lower_tag (), row_major_tag (), storage_category ());
Chris@16:     }
Chris@16:     // Dispatcher
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         lower_tag) {
Chris@16:         typedef typename E1::orientation_category orientation_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        lower_tag (), orientation_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         unit_lower_tag) {
Chris@16:         typedef typename E1::orientation_category orientation_category;
Chris@16:         inplace_solve (triangular_adaptor<const E1, unit_lower> (e1 ()), e2,
Chris@16:                        unit_lower_tag (), orientation_category ());
Chris@16:     }
Chris@16: 
Chris@16:     // Dense (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         upper_tag, column_major_tag, dense_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e2 ().size ();
Chris@16:         for (difference_type n = size - 1; n >= 0; -- n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n) /= e1 () (n, n);
Chris@16:             if (t != value_type/*zero*/()) {
Chris@16:                 for (difference_type m = n - 1; m >= 0; -- m)
Chris@16:                     e2 () (m) -= e1 () (m, n) * t;
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Packed (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         upper_tag, column_major_tag, packed_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e2 ().size ();
Chris@16:         for (difference_type n = size - 1; n >= 0; -- n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n) /= e1 () (n, n);
Chris@16:             if (t != value_type/*zero*/()) {
Chris@16:                 typename E1::const_reverse_iterator1 it1e1 (e1 ().find1 (1, n, n));
Chris@16:                 typename E1::const_reverse_iterator1 it1e1_rend (e1 ().find1 (1, 0, n));
Chris@16:                 while (it1e1 != it1e1_rend) {
Chris@16:                   e2 () (it1e1.index1 ()) -= *it1e1 * t, ++ it1e1;
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Sparse (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         upper_tag, column_major_tag, unknown_storage_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e2 ().size ();
Chris@16:         for (difference_type n = size - 1; n >= 0; -- n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n) /= e1 () (n, n);
Chris@16:             if (t != value_type/*zero*/()) {
Chris@16:                 typename E1::const_reverse_iterator1 it1e1 (e1 ().find1 (1, n, n));
Chris@16:                 typename E1::const_reverse_iterator1 it1e1_rend (e1 ().find1 (1, 0, n));
Chris@16:                 while (it1e1 != it1e1_rend) {
Chris@16:                   e2 () (it1e1.index1 ()) -= *it1e1 * t, ++ it1e1;
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16: 
Chris@16:     // Dense (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         upper_tag, row_major_tag, dense_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e1 ().size1 ();
Chris@16:         for (difference_type n = size-1; n >=0; -- n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n);
Chris@101:             for (difference_type m = n + 1; m < static_cast<difference_type>(e1 ().size2()); ++ m) {
Chris@16:               t -= e1 () (n, m)  * e2 () (m);
Chris@16:             }
Chris@16:             e2() (n) = t / e1 () (n, n);
Chris@16:         }
Chris@16:     }
Chris@16:     // Packed (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         upper_tag, row_major_tag, packed_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e1 ().size1 ();
Chris@16:         for (difference_type n = size-1; n >=0; -- n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n);
Chris@16:             typename E1::const_iterator2 it2e1 (e1 ().find2 (1, n, n+1));
Chris@16:             typename E1::const_iterator2 it2e1_end (e1 ().find2 (1, n, e1 ().size2 ()));
Chris@16:             while (it2e1 != it2e1_end) {
Chris@16:               t -= *it2e1 * e2 () (it2e1.index2());
Chris@16:               ++ it2e1;
Chris@16:             }
Chris@16:             e2() (n) = t / e1 () (n, n);
Chris@16: 
Chris@16:         }
Chris@16:     }
Chris@16:     // Sparse (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         upper_tag, row_major_tag, unknown_storage_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ());
Chris@16:         size_type size = e1 ().size1 ();
Chris@16:         for (difference_type n = size-1; n >=0; -- n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             value_type t = e2 () (n);
Chris@16:             typename E1::const_iterator2 it2e1 (e1 ().find2 (1, n, n+1));
Chris@16:             typename E1::const_iterator2 it2e1_end (e1 ().find2 (1, n, e1 ().size2 ()));
Chris@16:             while (it2e1 != it2e1_end) {
Chris@16:               t -= *it2e1 * e2 () (it2e1.index2());
Chris@16:               ++ it2e1;
Chris@16:             }
Chris@16:             e2() (n) = t / e1 () (n, n);
Chris@16: 
Chris@16:         }
Chris@16:     }
Chris@16: 
Chris@16:     // Redirectors :-)
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         upper_tag, column_major_tag) {
Chris@16:         typedef typename E1::storage_category storage_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        upper_tag (), column_major_tag (), storage_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         upper_tag, row_major_tag) {
Chris@16:         typedef typename E1::storage_category storage_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        upper_tag (), row_major_tag (), storage_category ());
Chris@16:     }
Chris@16:     // Dispatcher
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         upper_tag) {
Chris@16:         typedef typename E1::orientation_category orientation_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        upper_tag (), orientation_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2,
Chris@16:                         unit_upper_tag) {
Chris@16:         typedef typename E1::orientation_category orientation_category;
Chris@16:         inplace_solve (triangular_adaptor<const E1, unit_upper> (e1 ()), e2,
Chris@16:                        unit_upper_tag (), orientation_category ());
Chris@16:     }
Chris@16: 
Chris@16:     template<class E1, class E2, class C>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     typename matrix_vector_solve_traits<E1, E2>::result_type
Chris@16:     solve (const matrix_expression<E1> &e1,
Chris@16:            const vector_expression<E2> &e2,
Chris@16:            C) {
Chris@16:         typename matrix_vector_solve_traits<E1, E2>::result_type r (e2);
Chris@16:         inplace_solve (e1, r, C ());
Chris@16:         return r;
Chris@16:     }
Chris@16: 
Chris@16: 
Chris@16:     // Redirectors :-)
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2,
Chris@16:                         lower_tag, row_major_tag) {
Chris@16:         typedef typename E2::storage_category storage_category;
Chris@16:         inplace_solve (trans(e2), e1,
Chris@16:                        upper_tag (), column_major_tag (), storage_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2,
Chris@16:                         lower_tag, column_major_tag) {
Chris@16:         typedef typename E2::storage_category storage_category;
Chris@16:         inplace_solve (trans (e2), e1,
Chris@16:                        upper_tag (), row_major_tag (), storage_category ());
Chris@16:     }
Chris@16:     // Dispatcher
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2,
Chris@16:                         lower_tag) {
Chris@16:         typedef typename E2::orientation_category orientation_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        lower_tag (), orientation_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2,
Chris@16:                         unit_lower_tag) {
Chris@16:         typedef typename E2::orientation_category orientation_category;
Chris@16:         inplace_solve (e1, triangular_adaptor<const E2, unit_lower> (e2 ()),
Chris@16:                        unit_lower_tag (), orientation_category ());
Chris@16:     }
Chris@16: 
Chris@16: 
Chris@16:     // Redirectors :-)
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2,
Chris@16:                         upper_tag, row_major_tag) {
Chris@16:         typedef typename E2::storage_category storage_category;
Chris@16:         inplace_solve (trans(e2), e1,
Chris@16:                        lower_tag (), column_major_tag (), storage_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2,
Chris@16:                         upper_tag, column_major_tag) {
Chris@16:         typedef typename E2::storage_category storage_category;
Chris@16:         inplace_solve (trans (e2), e1,
Chris@16:                        lower_tag (), row_major_tag (), storage_category ());
Chris@16:     }
Chris@16:     // Dispatcher
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2,
Chris@16:                         upper_tag) {
Chris@16:         typedef typename E2::orientation_category orientation_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        upper_tag (), orientation_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2,
Chris@16:                         unit_upper_tag) {
Chris@16:         typedef typename E2::orientation_category orientation_category;
Chris@16:         inplace_solve (e1, triangular_adaptor<const E2, unit_upper> (e2 ()),
Chris@16:                        unit_upper_tag (), orientation_category ());
Chris@16:     }
Chris@16: 
Chris@16:     template<class E1, class E2, class C>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     typename matrix_vector_solve_traits<E1, E2>::result_type
Chris@16:     solve (const vector_expression<E1> &e1,
Chris@16:            const matrix_expression<E2> &e2,
Chris@16:            C) {
Chris@16:         typename matrix_vector_solve_traits<E1, E2>::result_type r (e1);
Chris@16:         inplace_solve (r, e2, C ());
Chris@16:         return r;
Chris@16:     }
Chris@16: 
Chris@16:     template<class E1, class E2>
Chris@16:     struct matrix_matrix_solve_traits {
Chris@16:         typedef typename promote_traits<typename E1::value_type, typename E2::value_type>::promote_type promote_type;
Chris@16:         typedef matrix<promote_type> result_type;
Chris@16:     };
Chris@16: 
Chris@16:     // Operations:
Chris@16:     //  k * n * (n - 1) / 2 + k * n = k * n * (n + 1) / 2 multiplications,
Chris@16:     //  k * n * (n - 1) / 2 additions
Chris@16: 
Chris@16:     // Dense (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         lower_tag, dense_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ());
Chris@16:         size_type size1 = e2 ().size1 ();
Chris@16:         size_type size2 = e2 ().size2 ();
Chris@16:         for (size_type n = 0; n < size1; ++ n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             for (size_type l = 0; l < size2; ++ l) {
Chris@16:                 value_type t = e2 () (n, l) /= e1 () (n, n);
Chris@16:                 if (t != value_type/*zero*/()) {
Chris@16:                     for (size_type m = n + 1; m < size1; ++ m)
Chris@16:                         e2 () (m, l) -= e1 () (m, n) * t;
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Packed (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         lower_tag, packed_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ());
Chris@16:         size_type size1 = e2 ().size1 ();
Chris@16:         size_type size2 = e2 ().size2 ();
Chris@16:         for (size_type n = 0; n < size1; ++ n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             for (size_type l = 0; l < size2; ++ l) {
Chris@16:                 value_type t = e2 () (n, l) /= e1 () (n, n);
Chris@16:                 if (t != value_type/*zero*/()) {
Chris@16:                     typename E1::const_iterator1 it1e1 (e1 ().find1 (1, n + 1, n));
Chris@16:                     typename E1::const_iterator1 it1e1_end (e1 ().find1 (1, e1 ().size1 (), n));
Chris@16:                     difference_type m (it1e1_end - it1e1);
Chris@16:                     while (-- m >= 0)
Chris@16:                         e2 () (it1e1.index1 (), l) -= *it1e1 * t, ++ it1e1;
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Sparse (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         lower_tag, unknown_storage_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ());
Chris@16:         size_type size1 = e2 ().size1 ();
Chris@16:         size_type size2 = e2 ().size2 ();
Chris@16:         for (size_type n = 0; n < size1; ++ n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             for (size_type l = 0; l < size2; ++ l) {
Chris@16:                 value_type t = e2 () (n, l) /= e1 () (n, n);
Chris@16:                 if (t != value_type/*zero*/()) {
Chris@16:                     typename E1::const_iterator1 it1e1 (e1 ().find1 (1, n + 1, n));
Chris@16:                     typename E1::const_iterator1 it1e1_end (e1 ().find1 (1, e1 ().size1 (), n));
Chris@16:                     while (it1e1 != it1e1_end)
Chris@16:                         e2 () (it1e1.index1 (), l) -= *it1e1 * t, ++ it1e1;
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Dispatcher
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         lower_tag) {
Chris@16:         typedef typename E1::storage_category dispatch_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        lower_tag (), dispatch_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         unit_lower_tag) {
Chris@16:         typedef typename E1::storage_category dispatch_category;
Chris@16:         inplace_solve (triangular_adaptor<const E1, unit_lower> (e1 ()), e2,
Chris@16:                        unit_lower_tag (), dispatch_category ());
Chris@16:     }
Chris@16: 
Chris@16:     // Dense (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         upper_tag, dense_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ());
Chris@16:         size_type size1 = e2 ().size1 ();
Chris@16:         size_type size2 = e2 ().size2 ();
Chris@16:         for (difference_type n = size1 - 1; n >= 0; -- n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             for (difference_type l = size2 - 1; l >= 0; -- l) {
Chris@16:                 value_type t = e2 () (n, l) /= e1 () (n, n);
Chris@16:                 if (t != value_type/*zero*/()) {
Chris@16:                     for (difference_type m = n - 1; m >= 0; -- m)
Chris@16:                         e2 () (m, l) -= e1 () (m, n) * t;
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Packed (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         upper_tag, packed_proxy_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ());
Chris@16:         size_type size1 = e2 ().size1 ();
Chris@16:         size_type size2 = e2 ().size2 ();
Chris@16:         for (difference_type n = size1 - 1; n >= 0; -- n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             for (difference_type l = size2 - 1; l >= 0; -- l) {
Chris@16:                 value_type t = e2 () (n, l) /= e1 () (n, n);
Chris@16:                 if (t != value_type/*zero*/()) {
Chris@16:                     typename E1::const_reverse_iterator1 it1e1 (e1 ().find1 (1, n, n));
Chris@16:                     typename E1::const_reverse_iterator1 it1e1_rend (e1 ().find1 (1, 0, n));
Chris@16:                     difference_type m (it1e1_rend - it1e1);
Chris@16:                     while (-- m >= 0)
Chris@16:                         e2 () (it1e1.index1 (), l) -= *it1e1 * t, ++ it1e1;
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Sparse (proxy) case
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         upper_tag, unknown_storage_tag) {
Chris@16:         typedef typename E2::size_type size_type;
Chris@16:         typedef typename E2::difference_type difference_type;
Chris@16:         typedef typename E2::value_type value_type;
Chris@16: 
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ());
Chris@16:         BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ());
Chris@16:         size_type size1 = e2 ().size1 ();
Chris@16:         size_type size2 = e2 ().size2 ();
Chris@16:         for (difference_type n = size1 - 1; n >= 0; -- n) {
Chris@16: #ifndef BOOST_UBLAS_SINGULAR_CHECK
Chris@16:             BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ());
Chris@16: #else
Chris@16:             if (e1 () (n, n) == value_type/*zero*/())
Chris@16:                 singular ().raise ();
Chris@16: #endif
Chris@16:             for (difference_type l = size2 - 1; l >= 0; -- l) {
Chris@16:                 value_type t = e2 () (n, l) /= e1 () (n, n);
Chris@16:                 if (t != value_type/*zero*/()) {
Chris@16:                     typename E1::const_reverse_iterator1 it1e1 (e1 ().find1 (1, n, n));
Chris@16:                     typename E1::const_reverse_iterator1 it1e1_rend (e1 ().find1 (1, 0, n));
Chris@16:                     while (it1e1 != it1e1_rend)
Chris@16:                         e2 () (it1e1.index1 (), l) -= *it1e1 * t, ++ it1e1;
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:     }
Chris@16:     // Dispatcher
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         upper_tag) {
Chris@16:         typedef typename E1::storage_category dispatch_category;
Chris@16:         inplace_solve (e1, e2,
Chris@16:                        upper_tag (), dispatch_category ());
Chris@16:     }
Chris@16:     template<class E1, class E2>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2,
Chris@16:                         unit_upper_tag) {
Chris@16:         typedef typename E1::storage_category dispatch_category;
Chris@16:         inplace_solve (triangular_adaptor<const E1, unit_upper> (e1 ()), e2,
Chris@16:                        unit_upper_tag (), dispatch_category ());
Chris@16:     }
Chris@16: 
Chris@16:     template<class E1, class E2, class C>
Chris@16:     BOOST_UBLAS_INLINE
Chris@16:     typename matrix_matrix_solve_traits<E1, E2>::result_type
Chris@16:     solve (const matrix_expression<E1> &e1,
Chris@16:            const matrix_expression<E2> &e2,
Chris@16:            C) {
Chris@16:         typename matrix_matrix_solve_traits<E1, E2>::result_type r (e2);
Chris@16:         inplace_solve (e1, r, C ());
Chris@16:         return r;
Chris@16:     }
Chris@16: 
Chris@16: }}}
Chris@16: 
Chris@16: #endif