5634 lines
214 KiB
Plaintext
5634 lines
214 KiB
Plaintext
//
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// Copyright (c) 2000-2002
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// Joerg Walter, Mathias Koch
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//
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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//
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// The authors gratefully acknowledge the support of
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// GeNeSys mbH & Co. KG in producing this work.
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//
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#ifndef _BOOST_UBLAS_MATRIX_EXPRESSION_
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#define _BOOST_UBLAS_MATRIX_EXPRESSION_
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#include <boost/numeric/ublas/vector_expression.hpp>
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// Expression templates based on ideas of Todd Veldhuizen and Geoffrey Furnish
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// Iterators based on ideas of Jeremy Siek
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//
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// Classes that model the Matrix Expression concept
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namespace boost { namespace numeric { namespace ublas {
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template<class E>
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class matrix_reference:
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public matrix_expression<matrix_reference<E> > {
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typedef matrix_reference<E> self_type;
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public:
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#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
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using matrix_expression<self_type>::operator ();
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#endif
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typedef typename E::size_type size_type;
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typedef typename E::difference_type difference_type;
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typedef typename E::value_type value_type;
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typedef typename E::const_reference const_reference;
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typedef typename boost::mpl::if_<boost::is_const<E>,
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typename E::const_reference,
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typename E::reference>::type reference;
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typedef E referred_type;
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typedef const self_type const_closure_type;
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typedef self_type closure_type;
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typedef typename E::orientation_category orientation_category;
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typedef typename E::storage_category storage_category;
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// Construction and destruction
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BOOST_UBLAS_INLINE
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explicit matrix_reference (referred_type &e):
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e_ (e) {}
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// Accessors
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BOOST_UBLAS_INLINE
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size_type size1 () const {
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return e_.size1 ();
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}
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BOOST_UBLAS_INLINE
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size_type size2 () const {
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return e_.size2 ();
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}
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public:
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// Expression accessors - const correct
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BOOST_UBLAS_INLINE
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const referred_type &expression () const {
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return e_;
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}
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BOOST_UBLAS_INLINE
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referred_type &expression () {
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return e_;
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}
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public:
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// Element access
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#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER
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BOOST_UBLAS_INLINE
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const_reference operator () (size_type i, size_type j) const {
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return expression () (i, j);
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}
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BOOST_UBLAS_INLINE
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reference operator () (size_type i, size_type j) {
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return expression () (i, j);
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}
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#else
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BOOST_UBLAS_INLINE
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reference operator () (size_type i, size_type j) const {
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return expression () (i, j);
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}
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#endif
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// Assignment
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BOOST_UBLAS_INLINE
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matrix_reference &operator = (const matrix_reference &m) {
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expression ().operator = (m);
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return *this;
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}
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template<class AE>
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BOOST_UBLAS_INLINE
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matrix_reference &operator = (const matrix_expression<AE> &ae) {
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expression ().operator = (ae);
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return *this;
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}
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template<class AE>
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BOOST_UBLAS_INLINE
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matrix_reference &assign (const matrix_expression<AE> &ae) {
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expression ().assign (ae);
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return *this;
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}
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template<class AE>
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BOOST_UBLAS_INLINE
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matrix_reference &operator += (const matrix_expression<AE> &ae) {
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expression ().operator += (ae);
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return *this;
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}
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template<class AE>
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BOOST_UBLAS_INLINE
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matrix_reference &plus_assign (const matrix_expression<AE> &ae) {
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expression ().plus_assign (ae);
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return *this;
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}
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template<class AE>
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BOOST_UBLAS_INLINE
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matrix_reference &operator -= (const matrix_expression<AE> &ae) {
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expression ().operator -= (ae);
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return *this;
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}
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template<class AE>
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BOOST_UBLAS_INLINE
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matrix_reference &minus_assign (const matrix_expression<AE> &ae) {
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expression ().minus_assign (ae);
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return *this;
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}
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template<class AT>
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BOOST_UBLAS_INLINE
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matrix_reference &operator *= (const AT &at) {
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expression ().operator *= (at);
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return *this;
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}
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template<class AT>
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BOOST_UBLAS_INLINE
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matrix_reference &operator /= (const AT &at) {
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expression ().operator /= (at);
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return *this;
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}
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// Swapping
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BOOST_UBLAS_INLINE
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void swap (matrix_reference &m) {
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expression ().swap (m.expression ());
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}
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// Closure comparison
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BOOST_UBLAS_INLINE
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bool same_closure (const matrix_reference &mr) const {
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return &(*this).e_ == &mr.e_;
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}
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// Iterator types
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typedef typename E::const_iterator1 const_iterator1;
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typedef typename boost::mpl::if_<boost::is_const<E>,
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typename E::const_iterator1,
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typename E::iterator1>::type iterator1;
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typedef typename E::const_iterator2 const_iterator2;
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typedef typename boost::mpl::if_<boost::is_const<E>,
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typename E::const_iterator2,
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typename E::iterator2>::type iterator2;
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// Element lookup
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BOOST_UBLAS_INLINE
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const_iterator1 find1 (int rank, size_type i, size_type j) const {
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return expression ().find1 (rank, i, j);
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}
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BOOST_UBLAS_INLINE
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iterator1 find1 (int rank, size_type i, size_type j) {
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return expression ().find1 (rank, i, j);
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}
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BOOST_UBLAS_INLINE
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const_iterator2 find2 (int rank, size_type i, size_type j) const {
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return expression ().find2 (rank, i, j);
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}
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BOOST_UBLAS_INLINE
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iterator2 find2 (int rank, size_type i, size_type j) {
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return expression ().find2 (rank, i, j);
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}
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// Iterators are the iterators of the referenced expression.
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BOOST_UBLAS_INLINE
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const_iterator1 begin1 () const {
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return expression ().begin1 ();
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}
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BOOST_UBLAS_INLINE
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const_iterator1 cbegin1 () const {
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return begin1 ();
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}
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BOOST_UBLAS_INLINE
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const_iterator1 end1 () const {
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return expression ().end1 ();
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}
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BOOST_UBLAS_INLINE
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const_iterator1 cend1 () const {
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return end1 ();
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}
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BOOST_UBLAS_INLINE
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iterator1 begin1 () {
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return expression ().begin1 ();
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}
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BOOST_UBLAS_INLINE
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iterator1 end1 () {
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return expression ().end1 ();
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}
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BOOST_UBLAS_INLINE
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const_iterator2 begin2 () const {
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return expression ().begin2 ();
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}
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BOOST_UBLAS_INLINE
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const_iterator2 cbegin2 () const {
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return begin2 ();
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}
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BOOST_UBLAS_INLINE
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const_iterator2 end2 () const {
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return expression ().end2 ();
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}
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BOOST_UBLAS_INLINE
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const_iterator2 cend2 () const {
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return end2 ();
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}
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BOOST_UBLAS_INLINE
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iterator2 begin2 () {
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return expression ().begin2 ();
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}
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BOOST_UBLAS_INLINE
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iterator2 end2 () {
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return expression ().end2 ();
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}
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// Reverse iterators
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typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
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typedef reverse_iterator_base1<iterator1> reverse_iterator1;
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BOOST_UBLAS_INLINE
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const_reverse_iterator1 rbegin1 () const {
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return const_reverse_iterator1 (end1 ());
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}
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BOOST_UBLAS_INLINE
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const_reverse_iterator1 crbegin1 () const {
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return rbegin1 ();
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}
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BOOST_UBLAS_INLINE
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const_reverse_iterator1 rend1 () const {
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return const_reverse_iterator1 (begin1 ());
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}
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BOOST_UBLAS_INLINE
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const_reverse_iterator1 crend1 () const {
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return rend1 ();
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}
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BOOST_UBLAS_INLINE
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reverse_iterator1 rbegin1 () {
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return reverse_iterator1 (end1 ());
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}
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BOOST_UBLAS_INLINE
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reverse_iterator1 rend1 () {
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return reverse_iterator1 (begin1 ());
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}
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typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
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typedef reverse_iterator_base2<iterator2> reverse_iterator2;
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BOOST_UBLAS_INLINE
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const_reverse_iterator2 rbegin2 () const {
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return const_reverse_iterator2 (end2 ());
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}
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BOOST_UBLAS_INLINE
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const_reverse_iterator2 crbegin2 () const {
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return rbegin2 ();
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}
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BOOST_UBLAS_INLINE
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const_reverse_iterator2 rend2 () const {
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return const_reverse_iterator2 (begin2 ());
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}
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BOOST_UBLAS_INLINE
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const_reverse_iterator2 crend2 () const {
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return rend2 ();
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}
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BOOST_UBLAS_INLINE
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reverse_iterator2 rbegin2 () {
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return reverse_iterator2 (end2 ());
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}
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BOOST_UBLAS_INLINE
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reverse_iterator2 rend2 () {
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return reverse_iterator2 (begin2 ());
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}
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private:
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referred_type &e_;
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};
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template<class E1, class E2, class F>
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class vector_matrix_binary:
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public matrix_expression<vector_matrix_binary<E1, E2, F> > {
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typedef E1 expression1_type;
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typedef E2 expression2_type;
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public:
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typedef typename E1::const_closure_type expression1_closure_type;
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typedef typename E2::const_closure_type expression2_closure_type;
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private:
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typedef vector_matrix_binary<E1, E2, F> self_type;
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public:
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#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
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using matrix_expression<self_type>::operator ();
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#endif
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typedef F functor_type;
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typedef typename promote_traits<typename E1::size_type, typename E2::size_type>::promote_type size_type;
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typedef typename promote_traits<typename E1::difference_type, typename E2::difference_type>::promote_type difference_type;
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typedef typename F::result_type value_type;
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typedef value_type const_reference;
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typedef const_reference reference;
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typedef const self_type const_closure_type;
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typedef const_closure_type closure_type;
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typedef unknown_orientation_tag orientation_category;
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typedef unknown_storage_tag storage_category;
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// Construction and destruction
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BOOST_UBLAS_INLINE
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vector_matrix_binary (const expression1_type &e1, const expression2_type &e2):
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e1_ (e1), e2_ (e2) {}
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// Accessors
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BOOST_UBLAS_INLINE
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size_type size1 () const {
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return e1_.size ();
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}
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BOOST_UBLAS_INLINE
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size_type size2 () const {
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return e2_.size ();
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}
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public:
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// Expression accessors
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BOOST_UBLAS_INLINE
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const expression1_closure_type &expression1 () const {
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return e1_;
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}
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BOOST_UBLAS_INLINE
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const expression2_closure_type &expression2 () const {
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return e2_;
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}
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public:
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// Element access
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BOOST_UBLAS_INLINE
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const_reference operator () (size_type i, size_type j) const {
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return functor_type::apply (e1_ (i), e2_ (j));
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}
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// Closure comparison
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BOOST_UBLAS_INLINE
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bool same_closure (const vector_matrix_binary &vmb) const {
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return (*this).expression1 ().same_closure (vmb.expression1 ()) &&
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(*this).expression2 ().same_closure (vmb.expression2 ());
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}
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// Iterator types
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private:
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typedef typename E1::const_iterator const_subiterator1_type;
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typedef typename E2::const_iterator const_subiterator2_type;
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typedef const value_type *const_pointer;
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public:
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#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
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typedef typename iterator_restrict_traits<typename const_subiterator1_type::iterator_category,
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typename const_subiterator2_type::iterator_category>::iterator_category iterator_category;
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typedef indexed_const_iterator1<const_closure_type, iterator_category> const_iterator1;
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typedef const_iterator1 iterator1;
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typedef indexed_const_iterator2<const_closure_type, iterator_category> const_iterator2;
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typedef const_iterator2 iterator2;
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#else
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class const_iterator1;
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typedef const_iterator1 iterator1;
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class const_iterator2;
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typedef const_iterator2 iterator2;
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#endif
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typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
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typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
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// Element lookup
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BOOST_UBLAS_INLINE
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const_iterator1 find1 (int rank, size_type i, size_type j) const {
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const_subiterator1_type it1 (e1_.find (i));
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const_subiterator1_type it1_end (e1_.find (size1 ()));
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const_subiterator2_type it2 (e2_.find (j));
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const_subiterator2_type it2_end (e2_.find (size2 ()));
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if (it2 == it2_end || (rank == 1 && (it2.index () != j || *it2 == value_type/*zero*/()))) {
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it1 = it1_end;
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it2 = it2_end;
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}
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#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
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return const_iterator1 (*this, it1.index (), it2.index ());
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#else
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#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
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return const_iterator1 (*this, it1, it2, it2 != it2_end ? *it2 : value_type/*zero*/());
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#else
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return const_iterator1 (*this, it1, it2);
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#endif
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#endif
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}
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BOOST_UBLAS_INLINE
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const_iterator2 find2 (int rank, size_type i, size_type j) const {
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const_subiterator2_type it2 (e2_.find (j));
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const_subiterator2_type it2_end (e2_.find (size2 ()));
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const_subiterator1_type it1 (e1_.find (i));
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const_subiterator1_type it1_end (e1_.find (size1 ()));
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if (it1 == it1_end || (rank == 1 && (it1.index () != i || *it1 == value_type/*zero*/()))) {
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it2 = it2_end;
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it1 = it1_end;
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}
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#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
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return const_iterator2 (*this, it1.index (), it2.index ());
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#else
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#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
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return const_iterator2 (*this, it1, it2, it1 != it1_end ? *it1 : value_type/*zero*/());
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#else
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return const_iterator2 (*this, it1, it2);
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#endif
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#endif
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}
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// Iterators enhance the iterators of the referenced expressions
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// with the binary functor.
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#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
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class const_iterator1:
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public container_const_reference<vector_matrix_binary>,
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public iterator_base_traits<typename iterator_restrict_traits<typename E1::const_iterator::iterator_category,
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typename E2::const_iterator::iterator_category>::iterator_category>::template
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iterator_base<const_iterator1, value_type>::type {
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public:
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typedef typename iterator_restrict_traits<typename E1::const_iterator::iterator_category,
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typename E2::const_iterator::iterator_category>::iterator_category iterator_category;
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typedef typename vector_matrix_binary::difference_type difference_type;
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typedef typename vector_matrix_binary::value_type value_type;
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typedef typename vector_matrix_binary::const_reference reference;
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typedef typename vector_matrix_binary::const_pointer pointer;
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typedef const_iterator2 dual_iterator_type;
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typedef const_reverse_iterator2 dual_reverse_iterator_type;
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// Construction and destruction
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#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
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BOOST_UBLAS_INLINE
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const_iterator1 ():
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container_const_reference<self_type> (), it1_ (), it2_ (), t2_ () {}
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BOOST_UBLAS_INLINE
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const_iterator1 (const self_type &vmb, const const_subiterator1_type &it1, const const_subiterator2_type &it2, value_type t2):
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container_const_reference<self_type> (vmb), it1_ (it1), it2_ (it2), t2_ (t2) {}
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#else
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BOOST_UBLAS_INLINE
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const_iterator1 ():
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container_const_reference<self_type> (), it1_ (), it2_ () {}
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BOOST_UBLAS_INLINE
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const_iterator1 (const self_type &vmb, const const_subiterator1_type &it1, const const_subiterator2_type &it2):
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container_const_reference<self_type> (vmb), it1_ (it1), it2_ (it2) {}
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#endif
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// Arithmetic
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BOOST_UBLAS_INLINE
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const_iterator1 &operator ++ () {
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++ it1_;
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return *this;
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}
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BOOST_UBLAS_INLINE
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const_iterator1 &operator -- () {
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-- it1_;
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return *this;
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}
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BOOST_UBLAS_INLINE
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const_iterator1 &operator += (difference_type n) {
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it1_ += n;
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return *this;
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}
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BOOST_UBLAS_INLINE
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const_iterator1 &operator -= (difference_type n) {
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it1_ -= n;
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return *this;
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}
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BOOST_UBLAS_INLINE
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difference_type operator - (const const_iterator1 &it) const {
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BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
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BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
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return it1_ - it.it1_;
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}
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// Dereference
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BOOST_UBLAS_INLINE
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const_reference operator * () const {
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#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
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return functor_type::apply (*it1_, t2_);
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#else
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return functor_type::apply (*it1_, *it2_);
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#endif
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}
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BOOST_UBLAS_INLINE
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const_reference operator [] (difference_type n) const {
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return *(*this + n);
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}
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#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 begin () const {
|
|
return (*this) ().find2 (1, index1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 end () const {
|
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rbegin () const {
|
|
return const_reverse_iterator2 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rend () const {
|
|
return const_reverse_iterator2 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it1_.index ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it2_.index ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator = (const const_iterator1 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it1_ = it.it1_;
|
|
it2_ = it.it2_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
t2_ = it.t2_;
|
|
#endif
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ == it.it1_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ < it.it1_;
|
|
}
|
|
|
|
private:
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
const_subiterator1_type it1_;
|
|
// Mutable due to assignment
|
|
/* const */ const_subiterator2_type it2_;
|
|
value_type t2_;
|
|
#else
|
|
const_subiterator1_type it1_;
|
|
const_subiterator2_type it2_;
|
|
#endif
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 begin1 () const {
|
|
return find1 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cbegin1 () const {
|
|
return begin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 end1 () const {
|
|
return find1 (0, size1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cend1 () const {
|
|
return end1 ();
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator2:
|
|
public container_const_reference<vector_matrix_binary>,
|
|
public iterator_base_traits<typename iterator_restrict_traits<typename E1::const_iterator::iterator_category,
|
|
typename E2::const_iterator::iterator_category>::iterator_category>::template
|
|
iterator_base<const_iterator2, value_type>::type {
|
|
public:
|
|
typedef typename iterator_restrict_traits<typename E1::const_iterator::iterator_category,
|
|
typename E2::const_iterator::iterator_category>::iterator_category iterator_category;
|
|
typedef typename vector_matrix_binary::difference_type difference_type;
|
|
typedef typename vector_matrix_binary::value_type value_type;
|
|
typedef typename vector_matrix_binary::const_reference reference;
|
|
typedef typename vector_matrix_binary::const_pointer pointer;
|
|
|
|
typedef const_iterator1 dual_iterator_type;
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ (), t1_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 (const self_type &vmb, const const_subiterator1_type &it1, const const_subiterator2_type &it2, value_type t1):
|
|
container_const_reference<self_type> (vmb), it1_ (it1), it2_ (it2), t1_ (t1) {}
|
|
#else
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 (const self_type &vmb, const const_subiterator1_type &it1, const const_subiterator2_type &it2):
|
|
container_const_reference<self_type> (vmb), it1_ (it1), it2_ (it2) {}
|
|
#endif
|
|
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator ++ () {
|
|
++ it2_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -- () {
|
|
-- it2_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator += (difference_type n) {
|
|
it2_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -= (difference_type n) {
|
|
it2_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure(it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ - it.it2_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (t1_, *it2_);
|
|
#else
|
|
return functor_type::apply (*it1_, *it2_);
|
|
#endif
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 begin () const {
|
|
return (*this) ().find1 (1, 0, index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 end () const {
|
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rbegin () const {
|
|
return const_reverse_iterator1 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rend () const {
|
|
return const_reverse_iterator1 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it1_.index ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it2_.index ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator = (const const_iterator2 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it1_ = it.it1_;
|
|
it2_ = it.it2_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
t1_ = it.t1_;
|
|
#endif
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure( it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ == it.it2_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ < it.it2_;
|
|
}
|
|
|
|
private:
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
// Mutable due to assignment
|
|
/* const */ const_subiterator1_type it1_;
|
|
const_subiterator2_type it2_;
|
|
value_type t1_;
|
|
#else
|
|
const_subiterator1_type it1_;
|
|
const_subiterator2_type it2_;
|
|
#endif
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 begin2 () const {
|
|
return find2 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cbegin2 () const {
|
|
return begin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 end2 () const {
|
|
return find2 (0, 0, size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cend2 () const {
|
|
return end2 ();
|
|
}
|
|
|
|
// Reverse iterators
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rbegin1 () const {
|
|
return const_reverse_iterator1 (end1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crbegin1 () const {
|
|
return rbegin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rend1 () const {
|
|
return const_reverse_iterator1 (begin1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crend1 () const {
|
|
return rend1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rbegin2 () const {
|
|
return const_reverse_iterator2 (end2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crbegin2 () const {
|
|
return rbegin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rend2 () const {
|
|
return const_reverse_iterator2 (begin2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crend2 () const {
|
|
return rend2 ();
|
|
}
|
|
|
|
private:
|
|
expression1_closure_type e1_;
|
|
expression2_closure_type e2_;
|
|
};
|
|
|
|
template<class E1, class E2, class F>
|
|
struct vector_matrix_binary_traits {
|
|
typedef vector_matrix_binary<E1, E2, F> expression_type;
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
// ISSUE matrix is arbitary temporary type
|
|
typedef matrix<typename F::value_type> result_type;
|
|
#endif
|
|
};
|
|
|
|
// (outer_prod (v1, v2)) [i] [j] = v1 [i] * v2 [j]
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename vector_matrix_binary_traits<E1, E2, scalar_multiplies<typename E1::value_type, typename E2::value_type> >::result_type
|
|
outer_prod (const vector_expression<E1> &e1,
|
|
const vector_expression<E2> &e2) {
|
|
BOOST_STATIC_ASSERT (E1::complexity == 0 && E2::complexity == 0);
|
|
typedef typename vector_matrix_binary_traits<E1, E2, scalar_multiplies<typename E1::value_type, typename E2::value_type> >::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
template<class E, class F>
|
|
class matrix_unary1:
|
|
public matrix_expression<matrix_unary1<E, F> > {
|
|
|
|
typedef E expression_type;
|
|
typedef F functor_type;
|
|
public:
|
|
typedef typename E::const_closure_type expression_closure_type;
|
|
private:
|
|
typedef matrix_unary1<E, F> self_type;
|
|
public:
|
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
|
|
using matrix_expression<self_type>::operator ();
|
|
#endif
|
|
typedef typename E::size_type size_type;
|
|
typedef typename E::difference_type difference_type;
|
|
typedef typename F::result_type value_type;
|
|
typedef value_type const_reference;
|
|
typedef const_reference reference;
|
|
typedef const self_type const_closure_type;
|
|
typedef const_closure_type closure_type;
|
|
typedef typename E::orientation_category orientation_category;
|
|
typedef unknown_storage_tag storage_category;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
explicit matrix_unary1 (const expression_type &e):
|
|
e_ (e) {}
|
|
|
|
// Accessors
|
|
BOOST_UBLAS_INLINE
|
|
size_type size1 () const {
|
|
return e_.size1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type size2 () const {
|
|
return e_.size2 ();
|
|
}
|
|
|
|
public:
|
|
// Expression accessors
|
|
BOOST_UBLAS_INLINE
|
|
const expression_closure_type &expression () const {
|
|
return e_;
|
|
}
|
|
|
|
public:
|
|
// Element access
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator () (size_type i, size_type j) const {
|
|
return functor_type::apply (e_ (i, j));
|
|
}
|
|
|
|
// Closure comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool same_closure (const matrix_unary1 &mu1) const {
|
|
return (*this).expression ().same_closure (mu1.expression ());
|
|
}
|
|
|
|
// Iterator types
|
|
private:
|
|
typedef typename E::const_iterator1 const_subiterator1_type;
|
|
typedef typename E::const_iterator2 const_subiterator2_type;
|
|
typedef const value_type *const_pointer;
|
|
|
|
public:
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
typedef indexed_const_iterator1<const_closure_type, typename const_subiterator1_type::iterator_category> const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
typedef indexed_const_iterator2<const_closure_type, typename const_subiterator2_type::iterator_category> const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#else
|
|
class const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
class const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#endif
|
|
typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
|
|
typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
|
|
|
|
// Element lookup
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 find1 (int rank, size_type i, size_type j) const {
|
|
const_subiterator1_type it1 (e_.find1 (rank, i, j));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator1 (*this, it1.index1 (), it1.index2 ());
|
|
#else
|
|
return const_iterator1 (*this, it1);
|
|
#endif
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 find2 (int rank, size_type i, size_type j) const {
|
|
const_subiterator2_type it2 (e_.find2 (rank, i, j));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator2 (*this, it2.index1 (), it2.index2 ());
|
|
#else
|
|
return const_iterator2 (*this, it2);
|
|
#endif
|
|
}
|
|
|
|
// Iterators enhance the iterators of the referenced expression
|
|
// with the unary functor.
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator1:
|
|
public container_const_reference<matrix_unary1>,
|
|
public iterator_base_traits<typename E::const_iterator1::iterator_category>::template
|
|
iterator_base<const_iterator1, value_type>::type {
|
|
public:
|
|
typedef typename E::const_iterator1::iterator_category iterator_category;
|
|
typedef typename matrix_unary1::difference_type difference_type;
|
|
typedef typename matrix_unary1::value_type value_type;
|
|
typedef typename matrix_unary1::const_reference reference;
|
|
typedef typename matrix_unary1::const_pointer pointer;
|
|
|
|
typedef const_iterator2 dual_iterator_type;
|
|
typedef const_reverse_iterator2 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 ():
|
|
container_const_reference<self_type> (), it_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 (const self_type &mu, const const_subiterator1_type &it):
|
|
container_const_reference<self_type> (mu), it_ (it) {}
|
|
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator ++ () {
|
|
++ it_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -- () {
|
|
-- it_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator += (difference_type n) {
|
|
it_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -= (difference_type n) {
|
|
it_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ - it.it_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return functor_type::apply (*it_);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 begin () const {
|
|
return (*this) ().find2 (1, index1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 end () const {
|
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rbegin () const {
|
|
return const_reverse_iterator2 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rend () const {
|
|
return const_reverse_iterator2 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it_.index1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it_.index2 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator = (const const_iterator1 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it_ = it.it_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ == it.it_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ < it.it_;
|
|
}
|
|
|
|
private:
|
|
const_subiterator1_type it_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 begin1 () const {
|
|
return find1 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cbegin1 () const {
|
|
return begin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 end1 () const {
|
|
return find1 (0, size1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cend1 () const {
|
|
return end1 ();
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator2:
|
|
public container_const_reference<matrix_unary1>,
|
|
public iterator_base_traits<typename E::const_iterator2::iterator_category>::template
|
|
iterator_base<const_iterator2, value_type>::type {
|
|
public:
|
|
typedef typename E::const_iterator2::iterator_category iterator_category;
|
|
typedef typename matrix_unary1::difference_type difference_type;
|
|
typedef typename matrix_unary1::value_type value_type;
|
|
typedef typename matrix_unary1::const_reference reference;
|
|
typedef typename matrix_unary1::const_pointer pointer;
|
|
|
|
typedef const_iterator1 dual_iterator_type;
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 ():
|
|
container_const_reference<self_type> (), it_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 (const self_type &mu, const const_subiterator2_type &it):
|
|
container_const_reference<self_type> (mu), it_ (it) {}
|
|
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator ++ () {
|
|
++ it_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -- () {
|
|
-- it_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator += (difference_type n) {
|
|
it_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -= (difference_type n) {
|
|
it_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ - it.it_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return functor_type::apply (*it_);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 begin () const {
|
|
return (*this) ().find1 (1, 0, index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 end () const {
|
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rbegin () const {
|
|
return const_reverse_iterator1 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rend () const {
|
|
return const_reverse_iterator1 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it_.index1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it_.index2 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator = (const const_iterator2 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it_ = it.it_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ == it.it_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ < it.it_;
|
|
}
|
|
|
|
private:
|
|
const_subiterator2_type it_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 begin2 () const {
|
|
return find2 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cbegin2 () const {
|
|
return begin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 end2 () const {
|
|
return find2 (0, 0, size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cend2 () const {
|
|
return end2 ();
|
|
}
|
|
|
|
// Reverse iterators
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rbegin1 () const {
|
|
return const_reverse_iterator1 (end1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crbegin1 () const {
|
|
return rbegin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rend1 () const {
|
|
return const_reverse_iterator1 (begin1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crend1 () const {
|
|
return rend1 ();
|
|
}
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rbegin2 () const {
|
|
return const_reverse_iterator2 (end2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crbegin2 () const {
|
|
return rbegin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rend2 () const {
|
|
return const_reverse_iterator2 (begin2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crend2 () const {
|
|
return rend2 ();
|
|
}
|
|
|
|
private:
|
|
expression_closure_type e_;
|
|
};
|
|
|
|
template<class E, class F>
|
|
struct matrix_unary1_traits {
|
|
typedef matrix_unary1<E, F> expression_type;
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
typedef typename E::matrix_temporary_type result_type;
|
|
#endif
|
|
};
|
|
|
|
// (- m) [i] [j] = - m [i] [j]
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_unary1_traits<E, scalar_negate<typename E::value_type> >::result_type
|
|
operator - (const matrix_expression<E> &e) {
|
|
typedef typename matrix_unary1_traits<E, scalar_negate<typename E::value_type> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
// (conj m) [i] [j] = conj (m [i] [j])
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_unary1_traits<E, scalar_conj<typename E::value_type> >::result_type
|
|
conj (const matrix_expression<E> &e) {
|
|
typedef typename matrix_unary1_traits<E, scalar_conj<typename E::value_type> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
// (real m) [i] [j] = real (m [i] [j])
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_unary1_traits<E, scalar_real<typename E::value_type> >::result_type
|
|
real (const matrix_expression<E> &e) {
|
|
typedef typename matrix_unary1_traits<E, scalar_real<typename E::value_type> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
// (imag m) [i] [j] = imag (m [i] [j])
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_unary1_traits<E, scalar_imag<typename E::value_type> >::result_type
|
|
imag (const matrix_expression<E> &e) {
|
|
typedef typename matrix_unary1_traits<E, scalar_imag<typename E::value_type> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
template<class E, class F>
|
|
class matrix_unary2:
|
|
public matrix_expression<matrix_unary2<E, F> > {
|
|
|
|
typedef typename boost::mpl::if_<boost::is_same<F, scalar_identity<typename E::value_type> >,
|
|
E,
|
|
const E>::type expression_type;
|
|
typedef F functor_type;
|
|
public:
|
|
typedef typename boost::mpl::if_<boost::is_const<expression_type>,
|
|
typename E::const_closure_type,
|
|
typename E::closure_type>::type expression_closure_type;
|
|
private:
|
|
typedef matrix_unary2<E, F> self_type;
|
|
public:
|
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
|
|
using matrix_expression<self_type>::operator ();
|
|
#endif
|
|
typedef typename E::size_type size_type;
|
|
typedef typename E::difference_type difference_type;
|
|
typedef typename F::result_type value_type;
|
|
typedef value_type const_reference;
|
|
typedef typename boost::mpl::if_<boost::is_same<F, scalar_identity<value_type> >,
|
|
typename E::reference,
|
|
value_type>::type reference;
|
|
|
|
typedef const self_type const_closure_type;
|
|
typedef self_type closure_type;
|
|
typedef typename boost::mpl::if_<boost::is_same<typename E::orientation_category,
|
|
row_major_tag>,
|
|
column_major_tag,
|
|
typename boost::mpl::if_<boost::is_same<typename E::orientation_category,
|
|
column_major_tag>,
|
|
row_major_tag,
|
|
typename E::orientation_category>::type>::type orientation_category;
|
|
typedef typename E::storage_category storage_category;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
// matrix_unary2 may be used as mutable expression -
|
|
// this is the only non const expression constructor
|
|
explicit matrix_unary2 (expression_type &e):
|
|
e_ (e) {}
|
|
|
|
// Accessors
|
|
BOOST_UBLAS_INLINE
|
|
size_type size1 () const {
|
|
return e_.size2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type size2 () const {
|
|
return e_.size1 ();
|
|
}
|
|
|
|
public:
|
|
// Expression accessors
|
|
BOOST_UBLAS_INLINE
|
|
const expression_closure_type &expression () const {
|
|
return e_;
|
|
}
|
|
|
|
public:
|
|
// Element access
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator () (size_type i, size_type j) const {
|
|
return functor_type::apply (e_ (j, i));
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
reference operator () (size_type i, size_type j) {
|
|
BOOST_STATIC_ASSERT ((boost::is_same<functor_type, scalar_identity<value_type > >::value));
|
|
return e_ (j, i);
|
|
}
|
|
|
|
// Closure comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool same_closure (const matrix_unary2 &mu2) const {
|
|
return (*this).expression ().same_closure (mu2.expression ());
|
|
}
|
|
|
|
// Iterator types
|
|
private:
|
|
typedef typename E::const_iterator1 const_subiterator2_type;
|
|
typedef typename E::const_iterator2 const_subiterator1_type;
|
|
typedef const value_type *const_pointer;
|
|
|
|
public:
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
typedef indexed_const_iterator1<const_closure_type, typename const_subiterator1_type::iterator_category> const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
typedef indexed_const_iterator2<const_closure_type, typename const_subiterator2_type::iterator_category> const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#else
|
|
class const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
class const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#endif
|
|
typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
|
|
typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
|
|
|
|
// Element lookup
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 find1 (int rank, size_type i, size_type j) const {
|
|
const_subiterator1_type it1 (e_.find2 (rank, j, i));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator1 (*this, it1.index2 (), it1.index1 ());
|
|
#else
|
|
return const_iterator1 (*this, it1);
|
|
#endif
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 find2 (int rank, size_type i, size_type j) const {
|
|
const_subiterator2_type it2 (e_.find1 (rank, j, i));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator2 (*this, it2.index2 (), it2.index1 ());
|
|
#else
|
|
return const_iterator2 (*this, it2);
|
|
#endif
|
|
}
|
|
|
|
// Iterators enhance the iterators of the referenced expression
|
|
// with the unary functor.
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator1:
|
|
public container_const_reference<matrix_unary2>,
|
|
public iterator_base_traits<typename E::const_iterator2::iterator_category>::template
|
|
iterator_base<const_iterator1, value_type>::type {
|
|
public:
|
|
typedef typename E::const_iterator2::iterator_category iterator_category;
|
|
typedef typename matrix_unary2::difference_type difference_type;
|
|
typedef typename matrix_unary2::value_type value_type;
|
|
typedef typename matrix_unary2::const_reference reference;
|
|
typedef typename matrix_unary2::const_pointer pointer;
|
|
|
|
typedef const_iterator2 dual_iterator_type;
|
|
typedef const_reverse_iterator2 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 ():
|
|
container_const_reference<self_type> (), it_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 (const self_type &mu, const const_subiterator1_type &it):
|
|
container_const_reference<self_type> (mu), it_ (it) {}
|
|
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator ++ () {
|
|
++ it_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -- () {
|
|
-- it_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator += (difference_type n) {
|
|
it_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -= (difference_type n) {
|
|
it_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ - it.it_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return functor_type::apply (*it_);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 begin () const {
|
|
return (*this) ().find2 (1, index1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 end () const {
|
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rbegin () const {
|
|
return const_reverse_iterator2 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rend () const {
|
|
return const_reverse_iterator2 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it_.index2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it_.index1 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator = (const const_iterator1 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it_ = it.it_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ == it.it_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ < it.it_;
|
|
}
|
|
|
|
private:
|
|
const_subiterator1_type it_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 begin1 () const {
|
|
return find1 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cbegin1 () const {
|
|
return begin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 end1 () const {
|
|
return find1 (0, size1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cend1 () const {
|
|
return end1 ();
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator2:
|
|
public container_const_reference<matrix_unary2>,
|
|
public iterator_base_traits<typename E::const_iterator1::iterator_category>::template
|
|
iterator_base<const_iterator2, value_type>::type {
|
|
public:
|
|
typedef typename E::const_iterator1::iterator_category iterator_category;
|
|
typedef typename matrix_unary2::difference_type difference_type;
|
|
typedef typename matrix_unary2::value_type value_type;
|
|
typedef typename matrix_unary2::const_reference reference;
|
|
typedef typename matrix_unary2::const_pointer pointer;
|
|
|
|
typedef const_iterator1 dual_iterator_type;
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 ():
|
|
container_const_reference<self_type> (), it_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 (const self_type &mu, const const_subiterator2_type &it):
|
|
container_const_reference<self_type> (mu), it_ (it) {}
|
|
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator ++ () {
|
|
++ it_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -- () {
|
|
-- it_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator += (difference_type n) {
|
|
it_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -= (difference_type n) {
|
|
it_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ - it.it_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return functor_type::apply (*it_);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 begin () const {
|
|
return (*this) ().find1 (1, 0, index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 end () const {
|
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rbegin () const {
|
|
return const_reverse_iterator1 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rend () const {
|
|
return const_reverse_iterator1 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it_.index2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it_.index1 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator = (const const_iterator2 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it_ = it.it_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ == it.it_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it_ < it.it_;
|
|
}
|
|
|
|
private:
|
|
const_subiterator2_type it_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 begin2 () const {
|
|
return find2 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cbegin2 () const {
|
|
return begin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 end2 () const {
|
|
return find2 (0, 0, size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cend2 () const {
|
|
return end2 ();
|
|
}
|
|
|
|
// Reverse iterators
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rbegin1 () const {
|
|
return const_reverse_iterator1 (end1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crbegin1 () const {
|
|
return rbegin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rend1 () const {
|
|
return const_reverse_iterator1 (begin1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crend1 () const {
|
|
return rend1 ();
|
|
}
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rbegin2 () const {
|
|
return const_reverse_iterator2 (end2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crbegin2 () const {
|
|
return rbegin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rend2 () const {
|
|
return const_reverse_iterator2 (begin2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crend2 () const {
|
|
return rend2 ();
|
|
}
|
|
|
|
private:
|
|
expression_closure_type e_;
|
|
};
|
|
|
|
template<class E, class F>
|
|
struct matrix_unary2_traits {
|
|
typedef matrix_unary2<E, F> expression_type;
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
typedef typename E::matrix_temporary_type result_type;
|
|
#endif
|
|
};
|
|
|
|
// (trans m) [i] [j] = m [j] [i]
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_unary2_traits<const E, scalar_identity<typename E::value_type> >::result_type
|
|
trans (const matrix_expression<E> &e) {
|
|
typedef typename matrix_unary2_traits<const E, scalar_identity<typename E::value_type> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_unary2_traits<E, scalar_identity<typename E::value_type> >::result_type
|
|
trans (matrix_expression<E> &e) {
|
|
typedef typename matrix_unary2_traits<E, scalar_identity<typename E::value_type> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
// (herm m) [i] [j] = conj (m [j] [i])
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_unary2_traits<E, scalar_conj<typename E::value_type> >::result_type
|
|
herm (const matrix_expression<E> &e) {
|
|
typedef typename matrix_unary2_traits<E, scalar_conj<typename E::value_type> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
template<class E1, class E2, class F>
|
|
class matrix_binary:
|
|
public matrix_expression<matrix_binary<E1, E2, F> > {
|
|
|
|
typedef E1 expression1_type;
|
|
typedef E2 expression2_type;
|
|
typedef F functor_type;
|
|
public:
|
|
typedef typename E1::const_closure_type expression1_closure_type;
|
|
typedef typename E2::const_closure_type expression2_closure_type;
|
|
private:
|
|
typedef matrix_binary<E1, E2, F> self_type;
|
|
public:
|
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
|
|
using matrix_expression<self_type>::operator ();
|
|
#endif
|
|
typedef typename promote_traits<typename E1::size_type, typename E2::size_type>::promote_type size_type;
|
|
typedef typename promote_traits<typename E1::difference_type, typename E2::difference_type>::promote_type difference_type;
|
|
typedef typename F::result_type value_type;
|
|
typedef value_type const_reference;
|
|
typedef const_reference reference;
|
|
typedef const self_type const_closure_type;
|
|
typedef const_closure_type closure_type;
|
|
typedef unknown_orientation_tag orientation_category;
|
|
typedef unknown_storage_tag storage_category;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
matrix_binary (const E1 &e1, const E2 &e2):
|
|
e1_ (e1), e2_ (e2) {}
|
|
|
|
// Accessors
|
|
BOOST_UBLAS_INLINE
|
|
size_type size1 () const {
|
|
return BOOST_UBLAS_SAME (e1_.size1 (), e2_.size1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type size2 () const {
|
|
return BOOST_UBLAS_SAME (e1_.size2 (), e2_.size2 ());
|
|
}
|
|
|
|
public:
|
|
// Expression accessors
|
|
BOOST_UBLAS_INLINE
|
|
const expression1_closure_type &expression1 () const {
|
|
return e1_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const expression2_closure_type &expression2 () const {
|
|
return e2_;
|
|
}
|
|
|
|
public:
|
|
// Element access
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator () (size_type i, size_type j) const {
|
|
return functor_type::apply (e1_ (i, j), e2_ (i, j));
|
|
}
|
|
|
|
// Closure comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool same_closure (const matrix_binary &mb) const {
|
|
return (*this).expression1 ().same_closure (mb.expression1 ()) &&
|
|
(*this).expression2 ().same_closure (mb.expression2 ());
|
|
}
|
|
|
|
// Iterator types
|
|
private:
|
|
typedef typename E1::const_iterator1 const_iterator11_type;
|
|
typedef typename E1::const_iterator2 const_iterator12_type;
|
|
typedef typename E2::const_iterator1 const_iterator21_type;
|
|
typedef typename E2::const_iterator2 const_iterator22_type;
|
|
typedef const value_type *const_pointer;
|
|
|
|
public:
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
typedef typename iterator_restrict_traits<typename const_iterator11_type::iterator_category,
|
|
typename const_iterator21_type::iterator_category>::iterator_category iterator_category1;
|
|
typedef indexed_const_iterator1<const_closure_type, iterator_category1> const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
typedef typename iterator_restrict_traits<typename const_iterator12_type::iterator_category,
|
|
typename const_iterator22_type::iterator_category>::iterator_category iterator_category2;
|
|
typedef indexed_const_iterator2<const_closure_type, iterator_category2> const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#else
|
|
class const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
class const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#endif
|
|
typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
|
|
typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
|
|
|
|
// Element lookup
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 find1 (int rank, size_type i, size_type j) const {
|
|
const_iterator11_type it11 (e1_.find1 (rank, i, j));
|
|
const_iterator11_type it11_end (e1_.find1 (rank, size1 (), j));
|
|
const_iterator21_type it21 (e2_.find1 (rank, i, j));
|
|
const_iterator21_type it21_end (e2_.find1 (rank, size1 (), j));
|
|
BOOST_UBLAS_CHECK (rank == 0 || it11 == it11_end || it11.index2 () == j, internal_logic ())
|
|
BOOST_UBLAS_CHECK (rank == 0 || it21 == it21_end || it21.index2 () == j, internal_logic ())
|
|
i = (std::min) (it11 != it11_end ? it11.index1 () : size1 (),
|
|
it21 != it21_end ? it21.index1 () : size1 ());
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator1 (*this, i, j);
|
|
#else
|
|
return const_iterator1 (*this, i, j, it11, it11_end, it21, it21_end);
|
|
#endif
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 find2 (int rank, size_type i, size_type j) const {
|
|
const_iterator12_type it12 (e1_.find2 (rank, i, j));
|
|
const_iterator12_type it12_end (e1_.find2 (rank, i, size2 ()));
|
|
const_iterator22_type it22 (e2_.find2 (rank, i, j));
|
|
const_iterator22_type it22_end (e2_.find2 (rank, i, size2 ()));
|
|
BOOST_UBLAS_CHECK (rank == 0 || it12 == it12_end || it12.index1 () == i, internal_logic ())
|
|
BOOST_UBLAS_CHECK (rank == 0 || it22 == it22_end || it22.index1 () == i, internal_logic ())
|
|
j = (std::min) (it12 != it12_end ? it12.index2 () : size2 (),
|
|
it22 != it22_end ? it22.index2 () : size2 ());
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator2 (*this, i, j);
|
|
#else
|
|
return const_iterator2 (*this, i, j, it12, it12_end, it22, it22_end);
|
|
#endif
|
|
}
|
|
|
|
// Iterators enhance the iterators of the referenced expression
|
|
// with the binary functor.
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator1:
|
|
public container_const_reference<matrix_binary>,
|
|
public iterator_base_traits<typename iterator_restrict_traits<typename E1::const_iterator1::iterator_category,
|
|
typename E2::const_iterator1::iterator_category>::iterator_category>::template
|
|
iterator_base<const_iterator1, value_type>::type {
|
|
public:
|
|
typedef typename iterator_restrict_traits<typename E1::const_iterator1::iterator_category,
|
|
typename E2::const_iterator1::iterator_category>::iterator_category iterator_category;
|
|
typedef typename matrix_binary::difference_type difference_type;
|
|
typedef typename matrix_binary::value_type value_type;
|
|
typedef typename matrix_binary::const_reference reference;
|
|
typedef typename matrix_binary::const_pointer pointer;
|
|
|
|
typedef const_iterator2 dual_iterator_type;
|
|
typedef const_reverse_iterator2 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 ():
|
|
container_const_reference<self_type> (), i_ (), j_ (), it1_ (), it1_end_ (), it2_ (), it2_end_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 (const self_type &mb, size_type i, size_type j,
|
|
const const_iterator11_type &it1, const const_iterator11_type &it1_end,
|
|
const const_iterator21_type &it2, const const_iterator21_type &it2_end):
|
|
container_const_reference<self_type> (mb), i_ (i), j_ (j), it1_ (it1), it1_end_ (it1_end), it2_ (it2), it2_end_ (it2_end) {}
|
|
|
|
private:
|
|
// Dense specializations
|
|
BOOST_UBLAS_INLINE
|
|
void increment (dense_random_access_iterator_tag) {
|
|
++ i_; ++ it1_; ++ it2_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (dense_random_access_iterator_tag) {
|
|
-- i_; -- it1_; -- it2_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void increment (dense_random_access_iterator_tag, difference_type n) {
|
|
i_ += n; it1_ += n; it2_ += n;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (dense_random_access_iterator_tag, difference_type n) {
|
|
i_ -= n; it1_ -= n; it2_ -= n;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (dense_random_access_iterator_tag) const {
|
|
return functor_type::apply (*it1_, *it2_);
|
|
}
|
|
|
|
// Packed specializations
|
|
BOOST_UBLAS_INLINE
|
|
void increment (packed_random_access_iterator_tag) {
|
|
if (it1_ != it1_end_)
|
|
if (it1_.index1 () <= i_)
|
|
++ it1_;
|
|
if (it2_ != it2_end_)
|
|
if (it2_.index1 () <= i_)
|
|
++ it2_;
|
|
++ i_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (packed_random_access_iterator_tag) {
|
|
if (it1_ != it1_end_)
|
|
if (i_ <= it1_.index1 ())
|
|
-- it1_;
|
|
if (it2_ != it2_end_)
|
|
if (i_ <= it2_.index1 ())
|
|
-- it2_;
|
|
-- i_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void increment (packed_random_access_iterator_tag, difference_type n) {
|
|
while (n > 0) {
|
|
increment (packed_random_access_iterator_tag ());
|
|
--n;
|
|
}
|
|
while (n < 0) {
|
|
decrement (packed_random_access_iterator_tag ());
|
|
++n;
|
|
}
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (packed_random_access_iterator_tag, difference_type n) {
|
|
while (n > 0) {
|
|
decrement (packed_random_access_iterator_tag ());
|
|
--n;
|
|
}
|
|
while (n < 0) {
|
|
increment (packed_random_access_iterator_tag ());
|
|
++n;
|
|
}
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (packed_random_access_iterator_tag) const {
|
|
value_type t1 = value_type/*zero*/();
|
|
if (it1_ != it1_end_) {
|
|
BOOST_UBLAS_CHECK (it1_.index2 () == j_, internal_logic ());
|
|
if (it1_.index1 () == i_)
|
|
t1 = *it1_;
|
|
}
|
|
value_type t2 = value_type/*zero*/();
|
|
if (it2_ != it2_end_) {
|
|
BOOST_UBLAS_CHECK (it2_.index2 () == j_, internal_logic ());
|
|
if (it2_.index1 () == i_)
|
|
t2 = *it2_;
|
|
}
|
|
return functor_type::apply (t1, t2);
|
|
}
|
|
|
|
// Sparse specializations
|
|
BOOST_UBLAS_INLINE
|
|
void increment (sparse_bidirectional_iterator_tag) {
|
|
size_type index1 = (*this) ().size1 ();
|
|
if (it1_ != it1_end_) {
|
|
if (it1_.index1 () <= i_)
|
|
++ it1_;
|
|
if (it1_ != it1_end_)
|
|
index1 = it1_.index1 ();
|
|
}
|
|
size_type index2 = (*this) ().size1 ();
|
|
if (it2_ != it2_end_)
|
|
if (it2_.index1 () <= i_)
|
|
++ it2_;
|
|
if (it2_ != it2_end_) {
|
|
index2 = it2_.index1 ();
|
|
}
|
|
i_ = (std::min) (index1, index2);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (sparse_bidirectional_iterator_tag) {
|
|
size_type index1 = (*this) ().size1 ();
|
|
if (it1_ != it1_end_) {
|
|
if (i_ <= it1_.index1 ())
|
|
-- it1_;
|
|
if (it1_ != it1_end_)
|
|
index1 = it1_.index1 ();
|
|
}
|
|
size_type index2 = (*this) ().size1 ();
|
|
if (it2_ != it2_end_) {
|
|
if (i_ <= it2_.index1 ())
|
|
-- it2_;
|
|
if (it2_ != it2_end_)
|
|
index2 = it2_.index1 ();
|
|
}
|
|
i_ = (std::max) (index1, index2);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void increment (sparse_bidirectional_iterator_tag, difference_type n) {
|
|
while (n > 0) {
|
|
increment (sparse_bidirectional_iterator_tag ());
|
|
--n;
|
|
}
|
|
while (n < 0) {
|
|
decrement (sparse_bidirectional_iterator_tag ());
|
|
++n;
|
|
}
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (sparse_bidirectional_iterator_tag, difference_type n) {
|
|
while (n > 0) {
|
|
decrement (sparse_bidirectional_iterator_tag ());
|
|
--n;
|
|
}
|
|
while (n < 0) {
|
|
increment (sparse_bidirectional_iterator_tag ());
|
|
++n;
|
|
}
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (sparse_bidirectional_iterator_tag) const {
|
|
value_type t1 = value_type/*zero*/();
|
|
if (it1_ != it1_end_) {
|
|
BOOST_UBLAS_CHECK (it1_.index2 () == j_, internal_logic ());
|
|
if (it1_.index1 () == i_)
|
|
t1 = *it1_;
|
|
}
|
|
value_type t2 = value_type/*zero*/();
|
|
if (it2_ != it2_end_) {
|
|
BOOST_UBLAS_CHECK (it2_.index2 () == j_, internal_logic ());
|
|
if (it2_.index1 () == i_)
|
|
t2 = *it2_;
|
|
}
|
|
return functor_type::apply (t1, t2);
|
|
}
|
|
|
|
public:
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator ++ () {
|
|
increment (iterator_category ());
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -- () {
|
|
decrement (iterator_category ());
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator += (difference_type n) {
|
|
increment (iterator_category (), n);
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -= (difference_type n) {
|
|
decrement (iterator_category (), n);
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (index2 () == it.index2 (), external_logic ());
|
|
return index1 () - it.index1 ();
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return dereference (iterator_category ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 begin () const {
|
|
return (*this) ().find2 (1, index1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 end () const {
|
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rbegin () const {
|
|
return const_reverse_iterator2 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rend () const {
|
|
return const_reverse_iterator2 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return i_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
// if (it1_ != it1_end_ && it2_ != it2_end_)
|
|
// return BOOST_UBLAS_SAME (it1_.index2 (), it2_.index2 ());
|
|
// else
|
|
return j_;
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator = (const const_iterator1 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
i_ = it.i_;
|
|
j_ = it.j_;
|
|
it1_ = it.it1_;
|
|
it1_end_ = it.it1_end_;
|
|
it2_ = it.it2_;
|
|
it2_end_ = it.it2_end_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (index2 () == it.index2 (), external_logic ());
|
|
return index1 () == it.index1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (index2 () == it.index2 (), external_logic ());
|
|
return index1 () < it.index1 ();
|
|
}
|
|
|
|
private:
|
|
size_type i_;
|
|
size_type j_;
|
|
const_iterator11_type it1_;
|
|
const_iterator11_type it1_end_;
|
|
const_iterator21_type it2_;
|
|
const_iterator21_type it2_end_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 begin1 () const {
|
|
return find1 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cbegin1 () const {
|
|
return begin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 end1 () const {
|
|
return find1 (0, size1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cend1 () const {
|
|
return end1 ();
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator2:
|
|
public container_const_reference<matrix_binary>,
|
|
public iterator_base_traits<typename iterator_restrict_traits<typename E1::const_iterator2::iterator_category,
|
|
typename E2::const_iterator2::iterator_category>::iterator_category>::template
|
|
iterator_base<const_iterator2, value_type>::type {
|
|
public:
|
|
typedef typename iterator_restrict_traits<typename E1::const_iterator2::iterator_category,
|
|
typename E2::const_iterator2::iterator_category>::iterator_category iterator_category;
|
|
typedef typename matrix_binary::difference_type difference_type;
|
|
typedef typename matrix_binary::value_type value_type;
|
|
typedef typename matrix_binary::const_reference reference;
|
|
typedef typename matrix_binary::const_pointer pointer;
|
|
|
|
typedef const_iterator1 dual_iterator_type;
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 ():
|
|
container_const_reference<self_type> (), i_ (), j_ (), it1_ (), it1_end_ (), it2_ (), it2_end_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 (const self_type &mb, size_type i, size_type j,
|
|
const const_iterator12_type &it1, const const_iterator12_type &it1_end,
|
|
const const_iterator22_type &it2, const const_iterator22_type &it2_end):
|
|
container_const_reference<self_type> (mb), i_ (i), j_ (j), it1_ (it1), it1_end_ (it1_end), it2_ (it2), it2_end_ (it2_end) {}
|
|
|
|
private:
|
|
// Dense access specializations
|
|
BOOST_UBLAS_INLINE
|
|
void increment (dense_random_access_iterator_tag) {
|
|
++ j_; ++ it1_; ++ it2_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (dense_random_access_iterator_tag) {
|
|
-- j_; -- it1_; -- it2_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void increment (dense_random_access_iterator_tag, difference_type n) {
|
|
j_ += n; it1_ += n; it2_ += n;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (dense_random_access_iterator_tag, difference_type n) {
|
|
j_ -= n; it1_ -= n; it2_ -= n;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (dense_random_access_iterator_tag) const {
|
|
return functor_type::apply (*it1_, *it2_);
|
|
}
|
|
|
|
// Packed specializations
|
|
BOOST_UBLAS_INLINE
|
|
void increment (packed_random_access_iterator_tag) {
|
|
if (it1_ != it1_end_)
|
|
if (it1_.index2 () <= j_)
|
|
++ it1_;
|
|
if (it2_ != it2_end_)
|
|
if (it2_.index2 () <= j_)
|
|
++ it2_;
|
|
++ j_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (packed_random_access_iterator_tag) {
|
|
if (it1_ != it1_end_)
|
|
if (j_ <= it1_.index2 ())
|
|
-- it1_;
|
|
if (it2_ != it2_end_)
|
|
if (j_ <= it2_.index2 ())
|
|
-- it2_;
|
|
-- j_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void increment (packed_random_access_iterator_tag, difference_type n) {
|
|
while (n > 0) {
|
|
increment (packed_random_access_iterator_tag ());
|
|
--n;
|
|
}
|
|
while (n < 0) {
|
|
decrement (packed_random_access_iterator_tag ());
|
|
++n;
|
|
}
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (packed_random_access_iterator_tag, difference_type n) {
|
|
while (n > 0) {
|
|
decrement (packed_random_access_iterator_tag ());
|
|
--n;
|
|
}
|
|
while (n < 0) {
|
|
increment (packed_random_access_iterator_tag ());
|
|
++n;
|
|
}
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (packed_random_access_iterator_tag) const {
|
|
value_type t1 = value_type/*zero*/();
|
|
if (it1_ != it1_end_) {
|
|
BOOST_UBLAS_CHECK (it1_.index1 () == i_, internal_logic ());
|
|
if (it1_.index2 () == j_)
|
|
t1 = *it1_;
|
|
}
|
|
value_type t2 = value_type/*zero*/();
|
|
if (it2_ != it2_end_) {
|
|
BOOST_UBLAS_CHECK (it2_.index1 () == i_, internal_logic ());
|
|
if (it2_.index2 () == j_)
|
|
t2 = *it2_;
|
|
}
|
|
return functor_type::apply (t1, t2);
|
|
}
|
|
|
|
// Sparse specializations
|
|
BOOST_UBLAS_INLINE
|
|
void increment (sparse_bidirectional_iterator_tag) {
|
|
size_type index1 = (*this) ().size2 ();
|
|
if (it1_ != it1_end_) {
|
|
if (it1_.index2 () <= j_)
|
|
++ it1_;
|
|
if (it1_ != it1_end_)
|
|
index1 = it1_.index2 ();
|
|
}
|
|
size_type index2 = (*this) ().size2 ();
|
|
if (it2_ != it2_end_) {
|
|
if (it2_.index2 () <= j_)
|
|
++ it2_;
|
|
if (it2_ != it2_end_)
|
|
index2 = it2_.index2 ();
|
|
}
|
|
j_ = (std::min) (index1, index2);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (sparse_bidirectional_iterator_tag) {
|
|
size_type index1 = (*this) ().size2 ();
|
|
if (it1_ != it1_end_) {
|
|
if (j_ <= it1_.index2 ())
|
|
-- it1_;
|
|
if (it1_ != it1_end_)
|
|
index1 = it1_.index2 ();
|
|
}
|
|
size_type index2 = (*this) ().size2 ();
|
|
if (it2_ != it2_end_) {
|
|
if (j_ <= it2_.index2 ())
|
|
-- it2_;
|
|
if (it2_ != it2_end_)
|
|
index2 = it2_.index2 ();
|
|
}
|
|
j_ = (std::max) (index1, index2);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void increment (sparse_bidirectional_iterator_tag, difference_type n) {
|
|
while (n > 0) {
|
|
increment (sparse_bidirectional_iterator_tag ());
|
|
--n;
|
|
}
|
|
while (n < 0) {
|
|
decrement (sparse_bidirectional_iterator_tag ());
|
|
++n;
|
|
}
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
void decrement (sparse_bidirectional_iterator_tag, difference_type n) {
|
|
while (n > 0) {
|
|
decrement (sparse_bidirectional_iterator_tag ());
|
|
--n;
|
|
}
|
|
while (n < 0) {
|
|
increment (sparse_bidirectional_iterator_tag ());
|
|
++n;
|
|
}
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (sparse_bidirectional_iterator_tag) const {
|
|
value_type t1 = value_type/*zero*/();
|
|
if (it1_ != it1_end_) {
|
|
BOOST_UBLAS_CHECK (it1_.index1 () == i_, internal_logic ());
|
|
if (it1_.index2 () == j_)
|
|
t1 = *it1_;
|
|
}
|
|
value_type t2 = value_type/*zero*/();
|
|
if (it2_ != it2_end_) {
|
|
BOOST_UBLAS_CHECK (it2_.index1 () == i_, internal_logic ());
|
|
if (it2_.index2 () == j_)
|
|
t2 = *it2_;
|
|
}
|
|
return functor_type::apply (t1, t2);
|
|
}
|
|
|
|
public:
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator ++ () {
|
|
increment (iterator_category ());
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -- () {
|
|
decrement (iterator_category ());
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator += (difference_type n) {
|
|
increment (iterator_category (), n);
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -= (difference_type n) {
|
|
decrement (iterator_category (), n);
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (index1 () == it.index1 (), external_logic ());
|
|
return index2 () - it.index2 ();
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return dereference (iterator_category ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 begin () const {
|
|
return (*this) ().find1 (1, 0, index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 end () const {
|
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rbegin () const {
|
|
return const_reverse_iterator1 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rend () const {
|
|
return const_reverse_iterator1 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
// if (it1_ != it1_end_ && it2_ != it2_end_)
|
|
// return BOOST_UBLAS_SAME (it1_.index1 (), it2_.index1 ());
|
|
// else
|
|
return i_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return j_;
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator = (const const_iterator2 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
i_ = it.i_;
|
|
j_ = it.j_;
|
|
it1_ = it.it1_;
|
|
it1_end_ = it.it1_end_;
|
|
it2_ = it.it2_;
|
|
it2_end_ = it.it2_end_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (index1 () == it.index1 (), external_logic ());
|
|
return index2 () == it.index2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (index1 () == it.index1 (), external_logic ());
|
|
return index2 () < it.index2 ();
|
|
}
|
|
|
|
private:
|
|
size_type i_;
|
|
size_type j_;
|
|
const_iterator12_type it1_;
|
|
const_iterator12_type it1_end_;
|
|
const_iterator22_type it2_;
|
|
const_iterator22_type it2_end_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 begin2 () const {
|
|
return find2 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cbegin2 () const {
|
|
return begin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 end2 () const {
|
|
return find2 (0, 0, size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cend2 () const {
|
|
return end2 ();
|
|
}
|
|
|
|
// Reverse iterators
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rbegin1 () const {
|
|
return const_reverse_iterator1 (end1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crbegin1 () const {
|
|
return rbegin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rend1 () const {
|
|
return const_reverse_iterator1 (begin1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crend1 () const {
|
|
return rend1 ();
|
|
}
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rbegin2 () const {
|
|
return const_reverse_iterator2 (end2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crbegin2 () const {
|
|
return rbegin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rend2 () const {
|
|
return const_reverse_iterator2 (begin2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crend2 () const {
|
|
return rend2 ();
|
|
}
|
|
|
|
private:
|
|
expression1_closure_type e1_;
|
|
expression2_closure_type e2_;
|
|
};
|
|
|
|
template<class E1, class E2, class F>
|
|
struct matrix_binary_traits {
|
|
typedef matrix_binary<E1, E2, F> expression_type;
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
typedef typename E1::matrix_temporary_type result_type;
|
|
#endif
|
|
};
|
|
|
|
// (m1 + m2) [i] [j] = m1 [i] [j] + m2 [i] [j]
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_binary_traits<E1, E2, scalar_plus<typename E1::value_type,
|
|
typename E2::value_type> >::result_type
|
|
operator + (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
typedef typename matrix_binary_traits<E1, E2, scalar_plus<typename E1::value_type,
|
|
typename E2::value_type> >::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
// (m1 - m2) [i] [j] = m1 [i] [j] - m2 [i] [j]
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_binary_traits<E1, E2, scalar_minus<typename E1::value_type,
|
|
typename E2::value_type> >::result_type
|
|
operator - (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
typedef typename matrix_binary_traits<E1, E2, scalar_minus<typename E1::value_type,
|
|
typename E2::value_type> >::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
// (m1 * m2) [i] [j] = m1 [i] [j] * m2 [i] [j]
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_binary_traits<E1, E2, scalar_multiplies<typename E1::value_type,
|
|
typename E2::value_type> >::result_type
|
|
element_prod (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
typedef typename matrix_binary_traits<E1, E2, scalar_multiplies<typename E1::value_type,
|
|
typename E2::value_type> >::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
// (m1 / m2) [i] [j] = m1 [i] [j] / m2 [i] [j]
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_binary_traits<E1, E2, scalar_divides<typename E1::value_type,
|
|
typename E2::value_type> >::result_type
|
|
element_div (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
typedef typename matrix_binary_traits<E1, E2, scalar_divides<typename E1::value_type,
|
|
typename E2::value_type> >::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
template<class E1, class E2, class F>
|
|
class matrix_binary_scalar1:
|
|
public matrix_expression<matrix_binary_scalar1<E1, E2, F> > {
|
|
|
|
typedef E1 expression1_type;
|
|
typedef E2 expression2_type;
|
|
typedef F functor_type;
|
|
typedef const E1& expression1_closure_type;
|
|
typedef typename E2::const_closure_type expression2_closure_type;
|
|
typedef matrix_binary_scalar1<E1, E2, F> self_type;
|
|
public:
|
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
|
|
using matrix_expression<self_type>::operator ();
|
|
#endif
|
|
typedef typename E2::size_type size_type;
|
|
typedef typename E2::difference_type difference_type;
|
|
typedef typename F::result_type value_type;
|
|
typedef value_type const_reference;
|
|
typedef const_reference reference;
|
|
typedef const self_type const_closure_type;
|
|
typedef const_closure_type closure_type;
|
|
typedef typename E2::orientation_category orientation_category;
|
|
typedef unknown_storage_tag storage_category;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
matrix_binary_scalar1 (const expression1_type &e1, const expression2_type &e2):
|
|
e1_ (e1), e2_ (e2) {}
|
|
|
|
// Accessors
|
|
BOOST_UBLAS_INLINE
|
|
size_type size1 () const {
|
|
return e2_.size1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type size2 () const {
|
|
return e2_.size2 ();
|
|
}
|
|
|
|
public:
|
|
// Element access
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator () (size_type i, size_type j) const {
|
|
return functor_type::apply (expression1_type (e1_), e2_ (i, j));
|
|
}
|
|
|
|
// Closure comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool same_closure (const matrix_binary_scalar1 &mbs1) const {
|
|
return &e1_ == &(mbs1.e1_) &&
|
|
(*this).e2_.same_closure (mbs1.e2_);
|
|
}
|
|
|
|
// Iterator types
|
|
private:
|
|
typedef expression1_type const_subiterator1_type;
|
|
typedef typename E2::const_iterator1 const_iterator21_type;
|
|
typedef typename E2::const_iterator2 const_iterator22_type;
|
|
typedef const value_type *const_pointer;
|
|
|
|
public:
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
typedef indexed_const_iterator1<const_closure_type, typename const_iterator21_type::iterator_category> const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
typedef indexed_const_iterator2<const_closure_type, typename const_iterator22_type::iterator_category> const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#else
|
|
class const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
class const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#endif
|
|
typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
|
|
typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
|
|
|
|
// Element lookup
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 find1 (int rank, size_type i, size_type j) const {
|
|
const_iterator21_type it21 (e2_.find1 (rank, i, j));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator1 (*this, it21.index1 (), it21.index2 ());
|
|
#else
|
|
return const_iterator1 (*this, const_subiterator1_type (e1_), it21);
|
|
#endif
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 find2 (int rank, size_type i, size_type j) const {
|
|
const_iterator22_type it22 (e2_.find2 (rank, i, j));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator2 (*this, it22.index1 (), it22.index2 ());
|
|
#else
|
|
return const_iterator2 (*this, const_subiterator1_type (e1_), it22);
|
|
#endif
|
|
}
|
|
|
|
// Iterators enhance the iterators of the referenced expression
|
|
// with the binary functor.
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator1:
|
|
public container_const_reference<matrix_binary_scalar1>,
|
|
public iterator_base_traits<typename E2::const_iterator1::iterator_category>::template
|
|
iterator_base<const_iterator1, value_type>::type {
|
|
public:
|
|
typedef typename E2::const_iterator1::iterator_category iterator_category;
|
|
typedef typename matrix_binary_scalar1::difference_type difference_type;
|
|
typedef typename matrix_binary_scalar1::value_type value_type;
|
|
typedef typename matrix_binary_scalar1::const_reference reference;
|
|
typedef typename matrix_binary_scalar1::const_pointer pointer;
|
|
|
|
typedef const_iterator2 dual_iterator_type;
|
|
typedef const_reverse_iterator2 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 (const self_type &mbs, const const_subiterator1_type &it1, const const_iterator21_type &it2):
|
|
container_const_reference<self_type> (mbs), it1_ (it1), it2_ (it2) {}
|
|
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator ++ () {
|
|
++ it2_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -- () {
|
|
-- it2_ ;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator += (difference_type n) {
|
|
it2_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -= (difference_type n) {
|
|
it2_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ - it.it2_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return functor_type::apply (it1_, *it2_);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 begin () const {
|
|
return (*this) ().find2 (1, index1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 end () const {
|
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rbegin () const {
|
|
return const_reverse_iterator2 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rend () const {
|
|
return const_reverse_iterator2 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it2_.index1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it2_.index2 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator = (const const_iterator1 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it1_ = it.it1_;
|
|
it2_ = it.it2_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ == it.it2_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ < it.it2_;
|
|
}
|
|
|
|
private:
|
|
const_subiterator1_type it1_;
|
|
const_iterator21_type it2_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 begin1 () const {
|
|
return find1 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cbegin1 () const {
|
|
return begin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 end1 () const {
|
|
return find1 (0, size1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cend1 () const {
|
|
return end1 ();
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator2:
|
|
public container_const_reference<matrix_binary_scalar1>,
|
|
public iterator_base_traits<typename E2::const_iterator2::iterator_category>::template
|
|
iterator_base<const_iterator2, value_type>::type {
|
|
public:
|
|
typedef typename E2::const_iterator2::iterator_category iterator_category;
|
|
typedef typename matrix_binary_scalar1::difference_type difference_type;
|
|
typedef typename matrix_binary_scalar1::value_type value_type;
|
|
typedef typename matrix_binary_scalar1::const_reference reference;
|
|
typedef typename matrix_binary_scalar1::const_pointer pointer;
|
|
|
|
typedef const_iterator1 dual_iterator_type;
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 (const self_type &mbs, const const_subiterator1_type &it1, const const_iterator22_type &it2):
|
|
container_const_reference<self_type> (mbs), it1_ (it1), it2_ (it2) {}
|
|
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator ++ () {
|
|
++ it2_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -- () {
|
|
-- it2_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator += (difference_type n) {
|
|
it2_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -= (difference_type n) {
|
|
it2_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ - it.it2_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return functor_type::apply (it1_, *it2_);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 begin () const {
|
|
return (*this) ().find1 (1, 0, index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 end () const {
|
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rbegin () const {
|
|
return const_reverse_iterator1 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rend () const {
|
|
return const_reverse_iterator1 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it2_.index1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it2_.index2 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator = (const const_iterator2 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it1_ = it.it1_;
|
|
it2_ = it.it2_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ == it.it2_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ < it.it2_;
|
|
}
|
|
|
|
private:
|
|
const_subiterator1_type it1_;
|
|
const_iterator22_type it2_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 begin2 () const {
|
|
return find2 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cbegin2 () const {
|
|
return begin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 end2 () const {
|
|
return find2 (0, 0, size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cend2 () const {
|
|
return end2 ();
|
|
}
|
|
|
|
// Reverse iterators
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rbegin1 () const {
|
|
return const_reverse_iterator1 (end1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crbegin1 () const {
|
|
return rbegin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rend1 () const {
|
|
return const_reverse_iterator1 (begin1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crend1 () const {
|
|
return rend1 ();
|
|
}
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rbegin2 () const {
|
|
return const_reverse_iterator2 (end2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crbegin2 () const {
|
|
return rbegin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rend2 () const {
|
|
return const_reverse_iterator2 (begin2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crend2 () const {
|
|
return rend2 ();
|
|
}
|
|
|
|
private:
|
|
expression1_closure_type e1_;
|
|
expression2_closure_type e2_;
|
|
};
|
|
|
|
template<class E1, class E2, class F>
|
|
struct matrix_binary_scalar1_traits {
|
|
typedef matrix_binary_scalar1<E1, E2, F> expression_type; // allow E1 to be builtin type
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
typedef typename E2::matrix_temporary_type result_type;
|
|
#endif
|
|
};
|
|
|
|
// (t * m) [i] [j] = t * m [i] [j]
|
|
template<class T1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename enable_if< is_convertible<T1, typename E2::value_type >,
|
|
typename matrix_binary_scalar1_traits<const T1, E2, scalar_multiplies<T1, typename E2::value_type> >::result_type
|
|
>::type
|
|
operator * (const T1 &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
typedef typename matrix_binary_scalar1_traits<const T1, E2, scalar_multiplies<T1, typename E2::value_type> >::expression_type expression_type;
|
|
return expression_type (e1, e2 ());
|
|
}
|
|
|
|
|
|
template<class E1, class E2, class F>
|
|
class matrix_binary_scalar2:
|
|
public matrix_expression<matrix_binary_scalar2<E1, E2, F> > {
|
|
|
|
typedef E1 expression1_type;
|
|
typedef E2 expression2_type;
|
|
typedef F functor_type;
|
|
public:
|
|
typedef typename E1::const_closure_type expression1_closure_type;
|
|
typedef const E2& expression2_closure_type;
|
|
private:
|
|
typedef matrix_binary_scalar2<E1, E2, F> self_type;
|
|
public:
|
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
|
|
using matrix_expression<self_type>::operator ();
|
|
#endif
|
|
typedef typename E1::size_type size_type;
|
|
typedef typename E1::difference_type difference_type;
|
|
typedef typename F::result_type value_type;
|
|
typedef value_type const_reference;
|
|
typedef const_reference reference;
|
|
|
|
typedef const self_type const_closure_type;
|
|
typedef const_closure_type closure_type;
|
|
typedef typename E1::orientation_category orientation_category;
|
|
typedef unknown_storage_tag storage_category;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
matrix_binary_scalar2 (const expression1_type &e1, const expression2_type &e2):
|
|
e1_ (e1), e2_ (e2) {}
|
|
|
|
// Accessors
|
|
BOOST_UBLAS_INLINE
|
|
size_type size1 () const {
|
|
return e1_.size1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type size2 () const {
|
|
return e1_.size2 ();
|
|
}
|
|
|
|
public:
|
|
// Element access
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator () (size_type i, size_type j) const {
|
|
return functor_type::apply (e1_ (i, j), expression2_type (e2_));
|
|
}
|
|
|
|
// Closure comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool same_closure (const matrix_binary_scalar2 &mbs2) const {
|
|
return (*this).e1_.same_closure (mbs2.e1_) &&
|
|
&e2_ == &(mbs2.e2_);
|
|
}
|
|
|
|
// Iterator types
|
|
private:
|
|
typedef typename E1::const_iterator1 const_iterator11_type;
|
|
typedef typename E1::const_iterator2 const_iterator12_type;
|
|
typedef expression2_type const_subiterator2_type;
|
|
typedef const value_type *const_pointer;
|
|
|
|
public:
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
typedef indexed_const_iterator1<const_closure_type, typename const_iterator11_type::iterator_category> const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
typedef indexed_const_iterator2<const_closure_type, typename const_iterator12_type::iterator_category> const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#else
|
|
class const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
class const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#endif
|
|
typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
|
|
typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
|
|
|
|
// Element lookup
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 find1 (int rank, size_type i, size_type j) const {
|
|
const_iterator11_type it11 (e1_.find1 (rank, i, j));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator1 (*this, it11.index1 (), it11.index2 ());
|
|
#else
|
|
return const_iterator1 (*this, it11, const_subiterator2_type (e2_));
|
|
#endif
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 find2 (int rank, size_type i, size_type j) const {
|
|
const_iterator12_type it12 (e1_.find2 (rank, i, j));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator2 (*this, it12.index1 (), it12.index2 ());
|
|
#else
|
|
return const_iterator2 (*this, it12, const_subiterator2_type (e2_));
|
|
#endif
|
|
}
|
|
|
|
// Iterators enhance the iterators of the referenced expression
|
|
// with the binary functor.
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator1:
|
|
public container_const_reference<matrix_binary_scalar2>,
|
|
public iterator_base_traits<typename E1::const_iterator1::iterator_category>::template
|
|
iterator_base<const_iterator1, value_type>::type {
|
|
public:
|
|
typedef typename E1::const_iterator1::iterator_category iterator_category;
|
|
typedef typename matrix_binary_scalar2::difference_type difference_type;
|
|
typedef typename matrix_binary_scalar2::value_type value_type;
|
|
typedef typename matrix_binary_scalar2::const_reference reference;
|
|
typedef typename matrix_binary_scalar2::const_pointer pointer;
|
|
|
|
typedef const_iterator2 dual_iterator_type;
|
|
typedef const_reverse_iterator2 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 (const self_type &mbs, const const_iterator11_type &it1, const const_subiterator2_type &it2):
|
|
container_const_reference<self_type> (mbs), it1_ (it1), it2_ (it2) {}
|
|
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator ++ () {
|
|
++ it1_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -- () {
|
|
-- it1_ ;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator += (difference_type n) {
|
|
it1_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -= (difference_type n) {
|
|
it1_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ - it.it1_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return functor_type::apply (*it1_, it2_);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 begin () const {
|
|
return (*this) ().find2 (1, index1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 end () const {
|
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rbegin () const {
|
|
return const_reverse_iterator2 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rend () const {
|
|
return const_reverse_iterator2 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it1_.index1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it1_.index2 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator = (const const_iterator1 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it1_ = it.it1_;
|
|
it2_ = it.it2_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ == it.it1_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ < it.it1_;
|
|
}
|
|
|
|
private:
|
|
const_iterator11_type it1_;
|
|
const_subiterator2_type it2_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 begin1 () const {
|
|
return find1 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cbegin1 () const {
|
|
return begin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 end1 () const {
|
|
return find1 (0, size1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cend1 () const {
|
|
return end1 ();
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator2:
|
|
public container_const_reference<matrix_binary_scalar2>,
|
|
public iterator_base_traits<typename E1::const_iterator2::iterator_category>::template
|
|
iterator_base<const_iterator2, value_type>::type {
|
|
public:
|
|
typedef typename E1::const_iterator2::iterator_category iterator_category;
|
|
typedef typename matrix_binary_scalar2::difference_type difference_type;
|
|
typedef typename matrix_binary_scalar2::value_type value_type;
|
|
typedef typename matrix_binary_scalar2::const_reference reference;
|
|
typedef typename matrix_binary_scalar2::const_pointer pointer;
|
|
|
|
typedef const_iterator1 dual_iterator_type;
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 (const self_type &mbs, const const_iterator12_type &it1, const const_subiterator2_type &it2):
|
|
container_const_reference<self_type> (mbs), it1_ (it1), it2_ (it2) {}
|
|
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator ++ () {
|
|
++ it1_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -- () {
|
|
-- it1_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator += (difference_type n) {
|
|
it1_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -= (difference_type n) {
|
|
it1_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ - it.it1_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return functor_type::apply (*it1_, it2_);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 begin () const {
|
|
return (*this) ().find1 (1, 0, index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 end () const {
|
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rbegin () const {
|
|
return const_reverse_iterator1 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rend () const {
|
|
return const_reverse_iterator1 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it1_.index1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it1_.index2 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator = (const const_iterator2 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it1_ = it.it1_;
|
|
it2_ = it.it2_;
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ == it.it1_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
// FIXME we shouldn't compare floats
|
|
// BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ < it.it1_;
|
|
}
|
|
|
|
private:
|
|
const_iterator12_type it1_;
|
|
const_subiterator2_type it2_;
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 begin2 () const {
|
|
return find2 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cbegin2 () const {
|
|
return begin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 end2 () const {
|
|
return find2 (0, 0, size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cend2 () const {
|
|
return end2 ();
|
|
}
|
|
|
|
// Reverse iterators
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rbegin1 () const {
|
|
return const_reverse_iterator1 (end1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crbegin1 () const {
|
|
return rbegin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rend1 () const {
|
|
return const_reverse_iterator1 (begin1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crend1 () const {
|
|
return rend1 ();
|
|
}
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rbegin2 () const {
|
|
return const_reverse_iterator2 (end2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crbegin2 () const {
|
|
return rbegin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rend2 () const {
|
|
return const_reverse_iterator2 (begin2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crend2 () const {
|
|
return rend2 ();
|
|
}
|
|
|
|
private:
|
|
expression1_closure_type e1_;
|
|
expression2_closure_type e2_;
|
|
};
|
|
|
|
template<class E1, class E2, class F>
|
|
struct matrix_binary_scalar2_traits {
|
|
typedef matrix_binary_scalar2<E1, E2, F> expression_type; // allow E2 to be builtin type
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
typedef typename E1::matrix_temporary_type result_type;
|
|
#endif
|
|
};
|
|
|
|
// (m * t) [i] [j] = m [i] [j] * t
|
|
template<class E1, class T2>
|
|
BOOST_UBLAS_INLINE
|
|
typename enable_if< is_convertible<T2, typename E1::value_type>,
|
|
typename matrix_binary_scalar2_traits<E1, const T2, scalar_multiplies<typename E1::value_type, T2> >::result_type
|
|
>::type
|
|
operator * (const matrix_expression<E1> &e1,
|
|
const T2 &e2) {
|
|
typedef typename matrix_binary_scalar2_traits<E1, const T2, scalar_multiplies<typename E1::value_type, T2> >::expression_type expression_type;
|
|
return expression_type (e1 (), e2);
|
|
}
|
|
|
|
// (m / t) [i] [j] = m [i] [j] / t
|
|
template<class E1, class T2>
|
|
BOOST_UBLAS_INLINE
|
|
typename enable_if< is_convertible<T2, typename E1::value_type>,
|
|
typename matrix_binary_scalar2_traits<E1, const T2, scalar_divides<typename E1::value_type, T2> >::result_type
|
|
>::type
|
|
operator / (const matrix_expression<E1> &e1,
|
|
const T2 &e2) {
|
|
typedef typename matrix_binary_scalar2_traits<E1, const T2, scalar_divides<typename E1::value_type, T2> >::expression_type expression_type;
|
|
return expression_type (e1 (), e2);
|
|
}
|
|
|
|
|
|
template<class E1, class E2, class F>
|
|
class matrix_vector_binary1:
|
|
public vector_expression<matrix_vector_binary1<E1, E2, F> > {
|
|
|
|
public:
|
|
typedef E1 expression1_type;
|
|
typedef E2 expression2_type;
|
|
private:
|
|
typedef F functor_type;
|
|
public:
|
|
typedef typename E1::const_closure_type expression1_closure_type;
|
|
typedef typename E2::const_closure_type expression2_closure_type;
|
|
private:
|
|
typedef matrix_vector_binary1<E1, E2, F> self_type;
|
|
public:
|
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
|
|
using vector_expression<self_type>::operator ();
|
|
#endif
|
|
static const unsigned complexity = 1;
|
|
typedef typename promote_traits<typename E1::size_type, typename E2::size_type>::promote_type size_type;
|
|
typedef typename promote_traits<typename E1::difference_type, typename E2::difference_type>::promote_type difference_type;
|
|
typedef typename F::result_type value_type;
|
|
typedef value_type const_reference;
|
|
typedef const_reference reference;
|
|
typedef const self_type const_closure_type;
|
|
typedef const_closure_type closure_type;
|
|
typedef unknown_storage_tag storage_category;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
matrix_vector_binary1 (const expression1_type &e1, const expression2_type &e2):
|
|
e1_ (e1), e2_ (e2) {}
|
|
|
|
// Accessors
|
|
BOOST_UBLAS_INLINE
|
|
size_type size () const {
|
|
return e1_.size1 ();
|
|
}
|
|
|
|
public:
|
|
// Expression accessors
|
|
BOOST_UBLAS_INLINE
|
|
const expression1_closure_type &expression1 () const {
|
|
return e1_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const expression2_closure_type &expression2 () const {
|
|
return e2_;
|
|
}
|
|
|
|
public:
|
|
// Element access
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator () (size_type i) const {
|
|
return functor_type::apply (e1_, e2_, i);
|
|
}
|
|
|
|
// Closure comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool same_closure (const matrix_vector_binary1 &mvb1) const {
|
|
return (*this).expression1 ().same_closure (mvb1.expression1 ()) &&
|
|
(*this).expression2 ().same_closure (mvb1.expression2 ());
|
|
}
|
|
|
|
// Iterator types
|
|
private:
|
|
typedef typename E1::const_iterator1 const_subiterator1_type;
|
|
typedef typename E2::const_iterator const_subiterator2_type;
|
|
typedef const value_type *const_pointer;
|
|
|
|
public:
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
typedef indexed_const_iterator<const_closure_type, typename const_subiterator1_type::iterator_category> const_iterator;
|
|
typedef const_iterator iterator;
|
|
#else
|
|
class const_iterator;
|
|
typedef const_iterator iterator;
|
|
#endif
|
|
|
|
// Element lookup
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator find (size_type i) const {
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
const_subiterator1_type it1 (e1_.find1 (0, i, 0));
|
|
return const_iterator (*this, it1.index1 ());
|
|
#else
|
|
return const_iterator (*this, e1_.find1 (0, i, 0));
|
|
#endif
|
|
}
|
|
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator:
|
|
public container_const_reference<matrix_vector_binary1>,
|
|
public iterator_base_traits<typename iterator_restrict_traits<typename E1::const_iterator1::iterator_category,
|
|
typename E2::const_iterator::iterator_category>::iterator_category>::template
|
|
iterator_base<const_iterator, value_type>::type {
|
|
public:
|
|
typedef typename iterator_restrict_traits<typename E1::const_iterator1::iterator_category,
|
|
typename E2::const_iterator::iterator_category>::iterator_category iterator_category;
|
|
typedef typename matrix_vector_binary1::difference_type difference_type;
|
|
typedef typename matrix_vector_binary1::value_type value_type;
|
|
typedef typename matrix_vector_binary1::const_reference reference;
|
|
typedef typename matrix_vector_binary1::const_pointer pointer;
|
|
|
|
// Construction and destruction
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator ():
|
|
container_const_reference<self_type> (), it1_ (), e2_begin_ (), e2_end_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator (const self_type &mvb, const const_subiterator1_type &it1):
|
|
container_const_reference<self_type> (mvb), it1_ (it1), e2_begin_ (mvb.expression2 ().begin ()), e2_end_ (mvb.expression2 ().end ()) {}
|
|
#else
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator ():
|
|
container_const_reference<self_type> (), it1_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator (const self_type &mvb, const const_subiterator1_type &it1):
|
|
container_const_reference<self_type> (mvb), it1_ (it1) {}
|
|
#endif
|
|
|
|
private:
|
|
// Dense random access specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (dense_random_access_iterator_tag) const {
|
|
const self_type &mvb = (*this) ();
|
|
#ifdef BOOST_UBLAS_USE_INDEXING
|
|
return mvb (index ());
|
|
#elif BOOST_UBLAS_USE_ITERATING
|
|
difference_type size = BOOST_UBLAS_SAME (mvb.expression1 ().size2 (), mvb.expression2 ().size ());
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (size, it1_.begin (), e2_begin_);
|
|
#else
|
|
return functor_type::apply (size, it1_.begin (), mvb.expression2 ().begin ());
|
|
#endif
|
|
#else
|
|
difference_type size = BOOST_UBLAS_SAME (mvb.expression1 ().size2 (), mvb.expression2 ().size ());
|
|
if (size >= BOOST_UBLAS_ITERATOR_THRESHOLD)
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (size, it1_.begin (), e2_begin_);
|
|
#else
|
|
return functor_type::apply (size, it1_.begin (), mvb.expression2 ().begin ());
|
|
#endif
|
|
else
|
|
return mvb (index ());
|
|
#endif
|
|
}
|
|
|
|
// Packed bidirectional specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (packed_random_access_iterator_tag) const {
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (it1_.begin (), it1_.end (), e2_begin_, e2_end_);
|
|
#else
|
|
const self_type &mvb = (*this) ();
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
return functor_type::apply (it1_.begin (), it1_.end (),
|
|
mvb.expression2 ().begin (), mvb.expression2 ().end ());
|
|
#else
|
|
return functor_type::apply (boost::numeric::ublas::begin (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::end (it1_, iterator1_tag ()),
|
|
mvb.expression2 ().begin (), mvb.expression2 ().end ());
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
// Sparse bidirectional specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (sparse_bidirectional_iterator_tag) const {
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (it1_.begin (), it1_.end (), e2_begin_, e2_end_, sparse_bidirectional_iterator_tag ());
|
|
#else
|
|
const self_type &mvb = (*this) ();
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
return functor_type::apply (it1_.begin (), it1_.end (),
|
|
mvb.expression2 ().begin (), mvb.expression2 ().end (), sparse_bidirectional_iterator_tag ());
|
|
#else
|
|
return functor_type::apply (boost::numeric::ublas::begin (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::end (it1_, iterator1_tag ()),
|
|
mvb.expression2 ().begin (), mvb.expression2 ().end (), sparse_bidirectional_iterator_tag ());
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
public:
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator ++ () {
|
|
++ it1_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator -- () {
|
|
-- it1_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator += (difference_type n) {
|
|
it1_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator -= (difference_type n) {
|
|
it1_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it1_ - it.it1_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return dereference (iterator_category ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
// Index
|
|
BOOST_UBLAS_INLINE
|
|
size_type index () const {
|
|
return it1_.index1 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator = (const const_iterator &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it1_ = it.it1_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
e2_begin_ = it.e2_begin_;
|
|
e2_end_ = it.e2_end_;
|
|
#endif
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it1_ == it.it1_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it1_ < it.it1_;
|
|
}
|
|
|
|
private:
|
|
const_subiterator1_type it1_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
// Mutable due to assignment
|
|
/* const */ const_subiterator2_type e2_begin_;
|
|
/* const */ const_subiterator2_type e2_end_;
|
|
#endif
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator begin () const {
|
|
return find (0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator end () const {
|
|
return find (size ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator cend () const {
|
|
return end ();
|
|
}
|
|
|
|
// Reverse iterator
|
|
typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rbegin () const {
|
|
return const_reverse_iterator (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rend () const {
|
|
return const_reverse_iterator (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crend () const {
|
|
return rend ();
|
|
}
|
|
|
|
private:
|
|
expression1_closure_type e1_;
|
|
expression2_closure_type e2_;
|
|
};
|
|
|
|
template<class T1, class E1, class T2, class E2>
|
|
struct matrix_vector_binary1_traits {
|
|
typedef unknown_storage_tag storage_category;
|
|
typedef row_major_tag orientation_category;
|
|
typedef typename promote_traits<T1, T2>::promote_type promote_type;
|
|
typedef matrix_vector_binary1<E1, E2, matrix_vector_prod1<E1, E2, promote_type> > expression_type;
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
typedef typename E1::vector_temporary_type result_type;
|
|
#endif
|
|
};
|
|
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_vector_binary1_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::result_type
|
|
prod (const matrix_expression<E1> &e1,
|
|
const vector_expression<E2> &e2,
|
|
unknown_storage_tag,
|
|
row_major_tag) {
|
|
typedef typename matrix_vector_binary1_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
// Dispatcher
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_vector_binary1_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::result_type
|
|
prod (const matrix_expression<E1> &e1,
|
|
const vector_expression<E2> &e2) {
|
|
BOOST_STATIC_ASSERT (E2::complexity == 0);
|
|
typedef typename matrix_vector_binary1_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::storage_category storage_category;
|
|
typedef typename matrix_vector_binary1_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::orientation_category orientation_category;
|
|
return prod (e1, e2, storage_category (), orientation_category ());
|
|
}
|
|
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_vector_binary1_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::result_type
|
|
prec_prod (const matrix_expression<E1> &e1,
|
|
const vector_expression<E2> &e2,
|
|
unknown_storage_tag,
|
|
row_major_tag) {
|
|
typedef typename matrix_vector_binary1_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
// Dispatcher
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_vector_binary1_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::result_type
|
|
prec_prod (const matrix_expression<E1> &e1,
|
|
const vector_expression<E2> &e2) {
|
|
BOOST_STATIC_ASSERT (E2::complexity == 0);
|
|
typedef typename matrix_vector_binary1_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::storage_category storage_category;
|
|
typedef typename matrix_vector_binary1_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::orientation_category orientation_category;
|
|
return prec_prod (e1, e2, storage_category (), orientation_category ());
|
|
}
|
|
|
|
template<class V, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
V &
|
|
prod (const matrix_expression<E1> &e1,
|
|
const vector_expression<E2> &e2,
|
|
V &v) {
|
|
return v.assign (prod (e1, e2));
|
|
}
|
|
|
|
template<class V, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
V &
|
|
prec_prod (const matrix_expression<E1> &e1,
|
|
const vector_expression<E2> &e2,
|
|
V &v) {
|
|
return v.assign (prec_prod (e1, e2));
|
|
}
|
|
|
|
template<class V, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
V
|
|
prod (const matrix_expression<E1> &e1,
|
|
const vector_expression<E2> &e2) {
|
|
return V (prod (e1, e2));
|
|
}
|
|
|
|
template<class V, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
V
|
|
prec_prod (const matrix_expression<E1> &e1,
|
|
const vector_expression<E2> &e2) {
|
|
return V (prec_prod (e1, e2));
|
|
}
|
|
|
|
template<class E1, class E2, class F>
|
|
class matrix_vector_binary2:
|
|
public vector_expression<matrix_vector_binary2<E1, E2, F> > {
|
|
|
|
typedef E1 expression1_type;
|
|
typedef E2 expression2_type;
|
|
typedef F functor_type;
|
|
public:
|
|
typedef typename E1::const_closure_type expression1_closure_type;
|
|
typedef typename E2::const_closure_type expression2_closure_type;
|
|
private:
|
|
typedef matrix_vector_binary2<E1, E2, F> self_type;
|
|
public:
|
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
|
|
using vector_expression<self_type>::operator ();
|
|
#endif
|
|
static const unsigned complexity = 1;
|
|
typedef typename promote_traits<typename E1::size_type, typename E2::size_type>::promote_type size_type;
|
|
typedef typename promote_traits<typename E1::difference_type, typename E2::difference_type>::promote_type difference_type;
|
|
typedef typename F::result_type value_type;
|
|
typedef value_type const_reference;
|
|
typedef const_reference reference;
|
|
typedef const self_type const_closure_type;
|
|
typedef const_closure_type closure_type;
|
|
typedef unknown_storage_tag storage_category;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
matrix_vector_binary2 (const expression1_type &e1, const expression2_type &e2):
|
|
e1_ (e1), e2_ (e2) {}
|
|
|
|
// Accessors
|
|
BOOST_UBLAS_INLINE
|
|
size_type size () const {
|
|
return e2_.size2 ();
|
|
}
|
|
|
|
public:
|
|
// Expression accessors
|
|
BOOST_UBLAS_INLINE
|
|
const expression1_closure_type &expression1 () const {
|
|
return e1_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const expression2_closure_type &expression2 () const {
|
|
return e2_;
|
|
}
|
|
public:
|
|
|
|
// Element access
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator () (size_type j) const {
|
|
return functor_type::apply (e1_, e2_, j);
|
|
}
|
|
|
|
// Closure comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool same_closure (const matrix_vector_binary2 &mvb2) const {
|
|
return (*this).expression1 ().same_closure (mvb2.expression1 ()) &&
|
|
(*this).expression2 ().same_closure (mvb2.expression2 ());
|
|
}
|
|
|
|
// Iterator types
|
|
private:
|
|
typedef typename E1::const_iterator const_subiterator1_type;
|
|
typedef typename E2::const_iterator2 const_subiterator2_type;
|
|
typedef const value_type *const_pointer;
|
|
|
|
public:
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
typedef indexed_const_iterator<const_closure_type, typename const_subiterator2_type::iterator_category> const_iterator;
|
|
typedef const_iterator iterator;
|
|
#else
|
|
class const_iterator;
|
|
typedef const_iterator iterator;
|
|
#endif
|
|
|
|
// Element lookup
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator find (size_type j) const {
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
const_subiterator2_type it2 (e2_.find2 (0, 0, j));
|
|
return const_iterator (*this, it2.index2 ());
|
|
#else
|
|
return const_iterator (*this, e2_.find2 (0, 0, j));
|
|
#endif
|
|
}
|
|
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator:
|
|
public container_const_reference<matrix_vector_binary2>,
|
|
public iterator_base_traits<typename iterator_restrict_traits<typename E1::const_iterator::iterator_category,
|
|
typename E2::const_iterator2::iterator_category>::iterator_category>::template
|
|
iterator_base<const_iterator, value_type>::type {
|
|
public:
|
|
typedef typename iterator_restrict_traits<typename E1::const_iterator::iterator_category,
|
|
typename E2::const_iterator2::iterator_category>::iterator_category iterator_category;
|
|
typedef typename matrix_vector_binary2::difference_type difference_type;
|
|
typedef typename matrix_vector_binary2::value_type value_type;
|
|
typedef typename matrix_vector_binary2::const_reference reference;
|
|
typedef typename matrix_vector_binary2::const_pointer pointer;
|
|
|
|
// Construction and destruction
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator ():
|
|
container_const_reference<self_type> (), it2_ (), e1_begin_ (), e1_end_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator (const self_type &mvb, const const_subiterator2_type &it2):
|
|
container_const_reference<self_type> (mvb), it2_ (it2), e1_begin_ (mvb.expression1 ().begin ()), e1_end_ (mvb.expression1 ().end ()) {}
|
|
#else
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator ():
|
|
container_const_reference<self_type> (), it2_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator (const self_type &mvb, const const_subiterator2_type &it2):
|
|
container_const_reference<self_type> (mvb), it2_ (it2) {}
|
|
#endif
|
|
|
|
private:
|
|
// Dense random access specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (dense_random_access_iterator_tag) const {
|
|
const self_type &mvb = (*this) ();
|
|
#ifdef BOOST_UBLAS_USE_INDEXING
|
|
return mvb (index ());
|
|
#elif BOOST_UBLAS_USE_ITERATING
|
|
difference_type size = BOOST_UBLAS_SAME (mvb.expression2 ().size1 (), mvb.expression1 ().size ());
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (size, e1_begin_, it2_.begin ());
|
|
#else
|
|
return functor_type::apply (size, mvb.expression1 ().begin (), it2_.begin ());
|
|
#endif
|
|
#else
|
|
difference_type size = BOOST_UBLAS_SAME (mvb.expression2 ().size1 (), mvb.expression1 ().size ());
|
|
if (size >= BOOST_UBLAS_ITERATOR_THRESHOLD)
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (size, e1_begin_, it2_.begin ());
|
|
#else
|
|
return functor_type::apply (size, mvb.expression1 ().begin (), it2_.begin ());
|
|
#endif
|
|
else
|
|
return mvb (index ());
|
|
#endif
|
|
}
|
|
|
|
// Packed bidirectional specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (packed_random_access_iterator_tag) const {
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (e1_begin_, e1_end_, it2_.begin (), it2_.end ());
|
|
#else
|
|
const self_type &mvb = (*this) ();
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
return functor_type::apply (mvb.expression1 ().begin (), mvb.expression1 ().end (),
|
|
it2_.begin (), it2_.end ());
|
|
#else
|
|
return functor_type::apply (mvb.expression1 ().begin (), mvb.expression1 ().end (),
|
|
boost::numeric::ublas::begin (it2_, iterator2_tag ()),
|
|
boost::numeric::ublas::end (it2_, iterator2_tag ()));
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
// Sparse bidirectional specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (sparse_bidirectional_iterator_tag) const {
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (e1_begin_, e1_end_, it2_.begin (), it2_.end (), sparse_bidirectional_iterator_tag ());
|
|
#else
|
|
const self_type &mvb = (*this) ();
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
return functor_type::apply (mvb.expression1 ().begin (), mvb.expression1 ().end (),
|
|
it2_.begin (), it2_.end (), sparse_bidirectional_iterator_tag ());
|
|
#else
|
|
return functor_type::apply (mvb.expression1 ().begin (), mvb.expression1 ().end (),
|
|
boost::numeric::ublas::begin (it2_, iterator2_tag ()),
|
|
boost::numeric::ublas::end (it2_, iterator2_tag ()), sparse_bidirectional_iterator_tag ());
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
public:
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator ++ () {
|
|
++ it2_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator -- () {
|
|
-- it2_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator += (difference_type n) {
|
|
it2_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator -= (difference_type n) {
|
|
it2_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it2_ - it.it2_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return dereference (iterator_category ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
// Index
|
|
BOOST_UBLAS_INLINE
|
|
size_type index () const {
|
|
return it2_.index2 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator &operator = (const const_iterator &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it2_ = it.it2_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
e1_begin_ = it.e1_begin_;
|
|
e1_end_ = it.e1_end_;
|
|
#endif
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it2_ == it.it2_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
return it2_ < it.it2_;
|
|
}
|
|
|
|
private:
|
|
const_subiterator2_type it2_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
// Mutable due to assignment
|
|
/* const */ const_subiterator1_type e1_begin_;
|
|
/* const */ const_subiterator1_type e1_end_;
|
|
#endif
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator begin () const {
|
|
return find (0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator end () const {
|
|
return find (size ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator cend () const {
|
|
return end ();
|
|
}
|
|
|
|
// Reverse iterator
|
|
typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rbegin () const {
|
|
return const_reverse_iterator (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rend () const {
|
|
return const_reverse_iterator (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crend () const {
|
|
return rend ();
|
|
}
|
|
|
|
private:
|
|
expression1_closure_type e1_;
|
|
expression2_closure_type e2_;
|
|
};
|
|
|
|
template<class T1, class E1, class T2, class E2>
|
|
struct matrix_vector_binary2_traits {
|
|
typedef unknown_storage_tag storage_category;
|
|
typedef column_major_tag orientation_category;
|
|
typedef typename promote_traits<T1, T2>::promote_type promote_type;
|
|
typedef matrix_vector_binary2<E1, E2, matrix_vector_prod2<E1, E2, promote_type> > expression_type;
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
typedef typename E2::vector_temporary_type result_type;
|
|
#endif
|
|
};
|
|
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_vector_binary2_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::result_type
|
|
prod (const vector_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2,
|
|
unknown_storage_tag,
|
|
column_major_tag) {
|
|
typedef typename matrix_vector_binary2_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
// Dispatcher
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_vector_binary2_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::result_type
|
|
prod (const vector_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
BOOST_STATIC_ASSERT (E1::complexity == 0);
|
|
typedef typename matrix_vector_binary2_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::storage_category storage_category;
|
|
typedef typename matrix_vector_binary2_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::orientation_category orientation_category;
|
|
return prod (e1, e2, storage_category (), orientation_category ());
|
|
}
|
|
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_vector_binary2_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::result_type
|
|
prec_prod (const vector_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2,
|
|
unknown_storage_tag,
|
|
column_major_tag) {
|
|
typedef typename matrix_vector_binary2_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
// Dispatcher
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_vector_binary2_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::result_type
|
|
prec_prod (const vector_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
BOOST_STATIC_ASSERT (E1::complexity == 0);
|
|
typedef typename matrix_vector_binary2_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::storage_category storage_category;
|
|
typedef typename matrix_vector_binary2_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::orientation_category orientation_category;
|
|
return prec_prod (e1, e2, storage_category (), orientation_category ());
|
|
}
|
|
|
|
template<class V, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
V &
|
|
prod (const vector_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2,
|
|
V &v) {
|
|
return v.assign (prod (e1, e2));
|
|
}
|
|
|
|
template<class V, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
V &
|
|
prec_prod (const vector_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2,
|
|
V &v) {
|
|
return v.assign (prec_prod (e1, e2));
|
|
}
|
|
|
|
template<class V, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
V
|
|
prod (const vector_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
return V (prod (e1, e2));
|
|
}
|
|
|
|
template<class V, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
V
|
|
prec_prod (const vector_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
return V (prec_prod (e1, e2));
|
|
}
|
|
|
|
template<class E1, class E2, class F>
|
|
class matrix_matrix_binary:
|
|
public matrix_expression<matrix_matrix_binary<E1, E2, F> > {
|
|
|
|
public:
|
|
typedef E1 expression1_type;
|
|
typedef E2 expression2_type;
|
|
private:
|
|
typedef F functor_type;
|
|
public:
|
|
typedef typename E1::const_closure_type expression1_closure_type;
|
|
typedef typename E2::const_closure_type expression2_closure_type;
|
|
private:
|
|
typedef matrix_matrix_binary<E1, E2, F> self_type;
|
|
public:
|
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
|
|
using matrix_expression<self_type>::operator ();
|
|
#endif
|
|
static const unsigned complexity = 1;
|
|
typedef typename promote_traits<typename E1::size_type, typename E2::size_type>::promote_type size_type;
|
|
typedef typename promote_traits<typename E1::difference_type, typename E2::difference_type>::promote_type difference_type;
|
|
typedef typename F::result_type value_type;
|
|
typedef value_type const_reference;
|
|
typedef const_reference reference;
|
|
typedef const self_type const_closure_type;
|
|
typedef const_closure_type closure_type;
|
|
typedef unknown_orientation_tag orientation_category;
|
|
typedef unknown_storage_tag storage_category;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
matrix_matrix_binary (const expression1_type &e1, const expression2_type &e2):
|
|
e1_ (e1), e2_ (e2) {}
|
|
|
|
// Accessors
|
|
BOOST_UBLAS_INLINE
|
|
size_type size1 () const {
|
|
return e1_.size1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type size2 () const {
|
|
return e2_.size2 ();
|
|
}
|
|
|
|
public:
|
|
// Expression accessors
|
|
BOOST_UBLAS_INLINE
|
|
const expression1_closure_type &expression1 () const {
|
|
return e1_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const expression2_closure_type &expression2 () const {
|
|
return e2_;
|
|
}
|
|
|
|
public:
|
|
// Element access
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator () (size_type i, size_type j) const {
|
|
return functor_type::apply (e1_, e2_, i, j);
|
|
}
|
|
|
|
// Closure comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool same_closure (const matrix_matrix_binary &mmb) const {
|
|
return (*this).expression1 ().same_closure (mmb.expression1 ()) &&
|
|
(*this).expression2 ().same_closure (mmb.expression2 ());
|
|
}
|
|
|
|
// Iterator types
|
|
private:
|
|
typedef typename E1::const_iterator1 const_iterator11_type;
|
|
typedef typename E1::const_iterator2 const_iterator12_type;
|
|
typedef typename E2::const_iterator1 const_iterator21_type;
|
|
typedef typename E2::const_iterator2 const_iterator22_type;
|
|
typedef const value_type *const_pointer;
|
|
|
|
public:
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
typedef typename iterator_restrict_traits<typename const_iterator11_type::iterator_category,
|
|
typename const_iterator22_type::iterator_category>::iterator_category iterator_category;
|
|
typedef indexed_const_iterator1<const_closure_type, iterator_category> const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
typedef indexed_const_iterator2<const_closure_type, iterator_category> const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#else
|
|
class const_iterator1;
|
|
typedef const_iterator1 iterator1;
|
|
class const_iterator2;
|
|
typedef const_iterator2 iterator2;
|
|
#endif
|
|
typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
|
|
typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
|
|
|
|
// Element lookup
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 find1 (int /* rank */, size_type i, size_type j) const {
|
|
// FIXME sparse matrix tests fail!
|
|
// const_iterator11_type it11 (e1_.find1 (rank, i, 0));
|
|
const_iterator11_type it11 (e1_.find1 (0, i, 0));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator1 (*this, it11.index1 (), j);
|
|
#else
|
|
// FIXME sparse matrix tests fail!
|
|
// const_iterator22_type it22 (e2_.find2 (rank, 0, j));
|
|
const_iterator22_type it22 (e2_.find2 (0, 0, j));
|
|
return const_iterator1 (*this, it11, it22);
|
|
#endif
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 find2 (int /* rank */, size_type i, size_type j) const {
|
|
// FIXME sparse matrix tests fail!
|
|
// const_iterator22_type it22 (e2_.find2 (rank, 0, j));
|
|
const_iterator22_type it22 (e2_.find2 (0, 0, j));
|
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
return const_iterator2 (*this, i, it22.index2 ());
|
|
#else
|
|
// FIXME sparse matrix tests fail!
|
|
// const_iterator11_type it11 (e1_.find1 (rank, i, 0));
|
|
const_iterator11_type it11 (e1_.find1 (0, i, 0));
|
|
return const_iterator2 (*this, it11, it22);
|
|
#endif
|
|
}
|
|
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator1:
|
|
public container_const_reference<matrix_matrix_binary>,
|
|
public iterator_base_traits<typename iterator_restrict_traits<typename E1::const_iterator1::iterator_category,
|
|
typename E2::const_iterator2::iterator_category>::iterator_category>::template
|
|
iterator_base<const_iterator1, value_type>::type {
|
|
public:
|
|
typedef typename iterator_restrict_traits<typename E1::const_iterator1::iterator_category,
|
|
typename E2::const_iterator2::iterator_category>::iterator_category iterator_category;
|
|
typedef typename matrix_matrix_binary::difference_type difference_type;
|
|
typedef typename matrix_matrix_binary::value_type value_type;
|
|
typedef typename matrix_matrix_binary::const_reference reference;
|
|
typedef typename matrix_matrix_binary::const_pointer pointer;
|
|
|
|
typedef const_iterator2 dual_iterator_type;
|
|
typedef const_reverse_iterator2 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ (), it2_begin_ (), it2_end_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 (const self_type &mmb, const const_iterator11_type &it1, const const_iterator22_type &it2):
|
|
container_const_reference<self_type> (mmb), it1_ (it1), it2_ (it2), it2_begin_ (it2.begin ()), it2_end_ (it2.end ()) {}
|
|
#else
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 (const self_type &mmb, const const_iterator11_type &it1, const const_iterator22_type &it2):
|
|
container_const_reference<self_type> (mmb), it1_ (it1), it2_ (it2) {}
|
|
#endif
|
|
|
|
private:
|
|
// Random access specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (dense_random_access_iterator_tag) const {
|
|
const self_type &mmb = (*this) ();
|
|
#ifdef BOOST_UBLAS_USE_INDEXING
|
|
return mmb (index1 (), index2 ());
|
|
#elif BOOST_UBLAS_USE_ITERATING
|
|
difference_type size = BOOST_UBLAS_SAME (mmb.expression1 ().size2 (), mmb.expression2 ().size1 ());
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (size, it1_.begin (), it2_begin_);
|
|
#else
|
|
return functor_type::apply (size, it1_.begin (), it2_.begin ());
|
|
#endif
|
|
#else
|
|
difference_type size = BOOST_UBLAS_SAME (mmb.expression1 ().size2 (), mmb.expression2 ().size1 ());
|
|
if (size >= BOOST_UBLAS_ITERATOR_THRESHOLD)
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (size, it1_.begin (), it2_begin_);
|
|
#else
|
|
return functor_type::apply (size, it1_.begin (), it2_.begin ());
|
|
#endif
|
|
else
|
|
return mmb (index1 (), index2 ());
|
|
#endif
|
|
}
|
|
|
|
// Packed bidirectional specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (packed_random_access_iterator_tag) const {
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (it1_.begin (), it1_.end (),
|
|
it2_begin_, it2_end_, packed_random_access_iterator_tag ());
|
|
#else
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
return functor_type::apply (it1_.begin (), it1_.end (),
|
|
it2_.begin (), it2_.end (), packed_random_access_iterator_tag ());
|
|
#else
|
|
return functor_type::apply (boost::numeric::ublas::begin (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::end (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::begin (it2_, iterator2_tag ()),
|
|
boost::numeric::ublas::end (it2_, iterator2_tag ()), packed_random_access_iterator_tag ());
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
// Sparse bidirectional specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (sparse_bidirectional_iterator_tag) const {
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (it1_.begin (), it1_.end (),
|
|
it2_begin_, it2_end_, sparse_bidirectional_iterator_tag ());
|
|
#else
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
return functor_type::apply (it1_.begin (), it1_.end (),
|
|
it2_.begin (), it2_.end (), sparse_bidirectional_iterator_tag ());
|
|
#else
|
|
return functor_type::apply (boost::numeric::ublas::begin (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::end (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::begin (it2_, iterator2_tag ()),
|
|
boost::numeric::ublas::end (it2_, iterator2_tag ()), sparse_bidirectional_iterator_tag ());
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
public:
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator ++ () {
|
|
++ it1_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -- () {
|
|
-- it1_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator += (difference_type n) {
|
|
it1_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator -= (difference_type n) {
|
|
it1_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ - it.it1_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return dereference (iterator_category ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 begin () const {
|
|
return (*this) ().find2 (1, index1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 end () const {
|
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator2 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rbegin () const {
|
|
return const_reverse_iterator2 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 rend () const {
|
|
return const_reverse_iterator2 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator2 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it1_.index1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it2_.index2 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 &operator = (const const_iterator1 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it1_ = it.it1_;
|
|
it2_ = it.it2_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
it2_begin_ = it.it2_begin_;
|
|
it2_end_ = it.it2_end_;
|
|
#endif
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ == it.it1_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator1 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
|
|
return it1_ < it.it1_;
|
|
}
|
|
|
|
private:
|
|
const_iterator11_type it1_;
|
|
// Mutable due to assignment
|
|
/* const */ const_iterator22_type it2_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
/* const */ const_iterator21_type it2_begin_;
|
|
/* const */ const_iterator21_type it2_end_;
|
|
#endif
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 begin1 () const {
|
|
return find1 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cbegin1 () const {
|
|
return begin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 end1 () const {
|
|
return find1 (0, size1 (), 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator1 cend1 () const {
|
|
return end1 ();
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
|
|
class const_iterator2:
|
|
public container_const_reference<matrix_matrix_binary>,
|
|
public iterator_base_traits<typename iterator_restrict_traits<typename E1::const_iterator1::iterator_category,
|
|
typename E2::const_iterator2::iterator_category>::iterator_category>::template
|
|
iterator_base<const_iterator2, value_type>::type {
|
|
public:
|
|
typedef typename iterator_restrict_traits<typename E1::const_iterator1::iterator_category,
|
|
typename E2::const_iterator2::iterator_category>::iterator_category iterator_category;
|
|
typedef typename matrix_matrix_binary::difference_type difference_type;
|
|
typedef typename matrix_matrix_binary::value_type value_type;
|
|
typedef typename matrix_matrix_binary::const_reference reference;
|
|
typedef typename matrix_matrix_binary::const_pointer pointer;
|
|
|
|
typedef const_iterator1 dual_iterator_type;
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;
|
|
|
|
// Construction and destruction
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ (), it1_begin_ (), it1_end_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 (const self_type &mmb, const const_iterator11_type &it1, const const_iterator22_type &it2):
|
|
container_const_reference<self_type> (mmb), it1_ (it1), it2_ (it2), it1_begin_ (it1.begin ()), it1_end_ (it1.end ()) {}
|
|
#else
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 ():
|
|
container_const_reference<self_type> (), it1_ (), it2_ () {}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 (const self_type &mmb, const const_iterator11_type &it1, const const_iterator22_type &it2):
|
|
container_const_reference<self_type> (mmb), it1_ (it1), it2_ (it2) {}
|
|
#endif
|
|
|
|
private:
|
|
// Random access specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (dense_random_access_iterator_tag) const {
|
|
const self_type &mmb = (*this) ();
|
|
#ifdef BOOST_UBLAS_USE_INDEXING
|
|
return mmb (index1 (), index2 ());
|
|
#elif BOOST_UBLAS_USE_ITERATING
|
|
difference_type size = BOOST_UBLAS_SAME (mmb.expression1 ().size2 (), mmb.expression2 ().size1 ());
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (size, it1_begin_, it2_.begin ());
|
|
#else
|
|
return functor_type::apply (size, it1_.begin (), it2_.begin ());
|
|
#endif
|
|
#else
|
|
difference_type size = BOOST_UBLAS_SAME (mmb.expression1 ().size2 (), mmb.expression2 ().size1 ());
|
|
if (size >= BOOST_UBLAS_ITERATOR_THRESHOLD)
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (size, it1_begin_, it2_.begin ());
|
|
#else
|
|
return functor_type::apply (size, it1_.begin (), it2_.begin ());
|
|
#endif
|
|
else
|
|
return mmb (index1 (), index2 ());
|
|
#endif
|
|
}
|
|
|
|
// Packed bidirectional specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (packed_random_access_iterator_tag) const {
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (it1_begin_, it1_end_,
|
|
it2_.begin (), it2_.end (), packed_random_access_iterator_tag ());
|
|
#else
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
return functor_type::apply (it1_.begin (), it1_.end (),
|
|
it2_.begin (), it2_.end (), packed_random_access_iterator_tag ());
|
|
#else
|
|
return functor_type::apply (boost::numeric::ublas::begin (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::end (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::begin (it2_, iterator2_tag ()),
|
|
boost::numeric::ublas::end (it2_, iterator2_tag ()), packed_random_access_iterator_tag ());
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
// Sparse bidirectional specialization
|
|
BOOST_UBLAS_INLINE
|
|
value_type dereference (sparse_bidirectional_iterator_tag) const {
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
return functor_type::apply (it1_begin_, it1_end_,
|
|
it2_.begin (), it2_.end (), sparse_bidirectional_iterator_tag ());
|
|
#else
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
return functor_type::apply (it1_.begin (), it1_.end (),
|
|
it2_.begin (), it2_.end (), sparse_bidirectional_iterator_tag ());
|
|
#else
|
|
return functor_type::apply (boost::numeric::ublas::begin (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::end (it1_, iterator1_tag ()),
|
|
boost::numeric::ublas::begin (it2_, iterator2_tag ()),
|
|
boost::numeric::ublas::end (it2_, iterator2_tag ()), sparse_bidirectional_iterator_tag ());
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
public:
|
|
// Arithmetic
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator ++ () {
|
|
++ it2_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -- () {
|
|
-- it2_;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator += (difference_type n) {
|
|
it2_ += n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator -= (difference_type n) {
|
|
it2_ -= n;
|
|
return *this;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
difference_type operator - (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ - it.it2_;
|
|
}
|
|
|
|
// Dereference
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator * () const {
|
|
return dereference (iterator_category ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (difference_type n) const {
|
|
return *(*this + n);
|
|
}
|
|
|
|
#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 begin () const {
|
|
return (*this) ().find1 (1, 0, index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 end () const {
|
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_iterator1 cend () const {
|
|
return end ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rbegin () const {
|
|
return const_reverse_iterator1 (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 rend () const {
|
|
return const_reverse_iterator1 (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
|
|
typename self_type::
|
|
#endif
|
|
const_reverse_iterator1 crend () const {
|
|
return rend ();
|
|
}
|
|
#endif
|
|
|
|
// Indices
|
|
BOOST_UBLAS_INLINE
|
|
size_type index1 () const {
|
|
return it1_.index1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
size_type index2 () const {
|
|
return it2_.index2 ();
|
|
}
|
|
|
|
// Assignment
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 &operator = (const const_iterator2 &it) {
|
|
container_const_reference<self_type>::assign (&it ());
|
|
it1_ = it.it1_;
|
|
it2_ = it.it2_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
it1_begin_ = it.it1_begin_;
|
|
it1_end_ = it.it1_end_;
|
|
#endif
|
|
return *this;
|
|
}
|
|
|
|
// Comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool operator == (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ == it.it2_;
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
bool operator < (const const_iterator2 &it) const {
|
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ());
|
|
BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
|
|
return it2_ < it.it2_;
|
|
}
|
|
|
|
private:
|
|
// Mutable due to assignment
|
|
/* const */ const_iterator11_type it1_;
|
|
const_iterator22_type it2_;
|
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
|
|
/* const */ const_iterator12_type it1_begin_;
|
|
/* const */ const_iterator12_type it1_end_;
|
|
#endif
|
|
};
|
|
#endif
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 begin2 () const {
|
|
return find2 (0, 0, 0);
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cbegin2 () const {
|
|
return begin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 end2 () const {
|
|
return find2 (0, 0, size2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator2 cend2 () const {
|
|
return end2 ();
|
|
}
|
|
|
|
// Reverse iterators
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rbegin1 () const {
|
|
return const_reverse_iterator1 (end1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crbegin1 () const {
|
|
return rbegin1 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 rend1 () const {
|
|
return const_reverse_iterator1 (begin1 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator1 crend1 () const {
|
|
return rend1 ();
|
|
}
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rbegin2 () const {
|
|
return const_reverse_iterator2 (end2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crbegin2 () const {
|
|
return rbegin2 ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 rend2 () const {
|
|
return const_reverse_iterator2 (begin2 ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator2 crend2 () const {
|
|
return rend2 ();
|
|
}
|
|
|
|
private:
|
|
expression1_closure_type e1_;
|
|
expression2_closure_type e2_;
|
|
};
|
|
|
|
template<class T1, class E1, class T2, class E2>
|
|
struct matrix_matrix_binary_traits {
|
|
typedef unknown_storage_tag storage_category;
|
|
typedef unknown_orientation_tag orientation_category;
|
|
typedef typename promote_traits<T1, T2>::promote_type promote_type;
|
|
typedef matrix_matrix_binary<E1, E2, matrix_matrix_prod<E1, E2, promote_type> > expression_type;
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
typedef typename E1::matrix_temporary_type result_type;
|
|
#endif
|
|
};
|
|
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_matrix_binary_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::result_type
|
|
prod (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2,
|
|
unknown_storage_tag,
|
|
unknown_orientation_tag) {
|
|
typedef typename matrix_matrix_binary_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
// Dispatcher
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_matrix_binary_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::result_type
|
|
prod (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
BOOST_STATIC_ASSERT (E1::complexity == 0 && E2::complexity == 0);
|
|
typedef typename matrix_matrix_binary_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::storage_category storage_category;
|
|
typedef typename matrix_matrix_binary_traits<typename E1::value_type, E1,
|
|
typename E2::value_type, E2>::orientation_category orientation_category;
|
|
return prod (e1, e2, storage_category (), orientation_category ());
|
|
}
|
|
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_matrix_binary_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::result_type
|
|
prec_prod (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2,
|
|
unknown_storage_tag,
|
|
unknown_orientation_tag) {
|
|
typedef typename matrix_matrix_binary_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::expression_type expression_type;
|
|
return expression_type (e1 (), e2 ());
|
|
}
|
|
|
|
// Dispatcher
|
|
template<class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_matrix_binary_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::result_type
|
|
prec_prod (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
BOOST_STATIC_ASSERT (E1::complexity == 0 && E2::complexity == 0);
|
|
typedef typename matrix_matrix_binary_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::storage_category storage_category;
|
|
typedef typename matrix_matrix_binary_traits<typename type_traits<typename E1::value_type>::precision_type, E1,
|
|
typename type_traits<typename E2::value_type>::precision_type, E2>::orientation_category orientation_category;
|
|
return prec_prod (e1, e2, storage_category (), orientation_category ());
|
|
}
|
|
|
|
template<class M, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
M &
|
|
prod (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2,
|
|
M &m) {
|
|
return m.assign (prod (e1, e2));
|
|
}
|
|
|
|
template<class M, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
M &
|
|
prec_prod (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2,
|
|
M &m) {
|
|
return m.assign (prec_prod (e1, e2));
|
|
}
|
|
|
|
template<class M, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
M
|
|
prod (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
return M (prod (e1, e2));
|
|
}
|
|
|
|
template<class M, class E1, class E2>
|
|
BOOST_UBLAS_INLINE
|
|
M
|
|
prec_prod (const matrix_expression<E1> &e1,
|
|
const matrix_expression<E2> &e2) {
|
|
return M (prec_prod (e1, e2));
|
|
}
|
|
|
|
template<class E, class F>
|
|
class matrix_scalar_unary:
|
|
public scalar_expression<matrix_scalar_unary<E, F> > {
|
|
public:
|
|
typedef E expression_type;
|
|
typedef F functor_type;
|
|
typedef typename F::result_type value_type;
|
|
typedef typename E::const_closure_type expression_closure_type;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
explicit matrix_scalar_unary (const expression_type &e):
|
|
e_ (e) {}
|
|
|
|
private:
|
|
// Expression accessors
|
|
BOOST_UBLAS_INLINE
|
|
const expression_closure_type &expression () const {
|
|
return e_;
|
|
}
|
|
|
|
public:
|
|
BOOST_UBLAS_INLINE
|
|
operator value_type () const {
|
|
return functor_type::apply (e_);
|
|
}
|
|
|
|
private:
|
|
expression_closure_type e_;
|
|
};
|
|
|
|
template<class E, class F>
|
|
struct matrix_scalar_unary_traits {
|
|
typedef matrix_scalar_unary<E, F> expression_type;
|
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG
|
|
typedef expression_type result_type;
|
|
#else
|
|
typedef typename F::result_type result_type;
|
|
#endif
|
|
};
|
|
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_scalar_unary_traits<E, matrix_norm_1<E> >::result_type
|
|
norm_1 (const matrix_expression<E> &e) {
|
|
typedef typename matrix_scalar_unary_traits<E, matrix_norm_1<E> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_scalar_unary_traits<E, matrix_norm_frobenius<E> >::result_type
|
|
norm_frobenius (const matrix_expression<E> &e) {
|
|
typedef typename matrix_scalar_unary_traits<E, matrix_norm_frobenius<E> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
template<class E>
|
|
BOOST_UBLAS_INLINE
|
|
typename matrix_scalar_unary_traits<E, matrix_norm_inf<E> >::result_type
|
|
norm_inf (const matrix_expression<E> &e) {
|
|
typedef typename matrix_scalar_unary_traits<E, matrix_norm_inf<E> >::expression_type expression_type;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
}}}
|
|
|
|
#endif
|