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4952 lines
188 KiB
4952 lines
188 KiB
// |
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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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|
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#ifndef _BOOST_UBLAS_MATRIX_EXPRESSION_ |
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#define _BOOST_UBLAS_MATRIX_EXPRESSION_ |
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|
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#include <boost/numeric/ublas/vector_expression.hpp> |
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|
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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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|
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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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|
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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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|
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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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|
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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 end1 () const { |
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return expression ().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 end2 () const { |
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return expression ().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 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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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 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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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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|
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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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|
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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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|
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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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|
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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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|
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#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION |
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BOOST_UBLAS_INLINE |
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#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION |
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typename self_type:: |
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#endif |
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const_iterator2 begin () const { |
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return (*this) ().find2 (1, index1 (), 0); |
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} |
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BOOST_UBLAS_INLINE |
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#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION |
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typename self_type:: |
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#endif |
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const_iterator2 end () const { |
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return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); |
|
} |
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BOOST_UBLAS_INLINE |
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#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION |
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typename self_type:: |
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#endif |
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const_reverse_iterator2 rbegin () const { |
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return const_reverse_iterator2 (end ()); |
|
} |
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BOOST_UBLAS_INLINE |
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#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION |
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typename self_type:: |
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#endif |
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const_reverse_iterator2 rend () const { |
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return const_reverse_iterator2 (begin ()); |
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} |
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#endif |
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|
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// Indices |
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BOOST_UBLAS_INLINE |
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size_type index1 () const { |
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return it1_.index (); |
|
} |
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BOOST_UBLAS_INLINE |
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size_type index2 () const { |
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return it2_.index (); |
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} |
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|
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// Assignment |
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BOOST_UBLAS_INLINE |
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const_iterator1 &operator = (const const_iterator1 &it) { |
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container_const_reference<self_type>::assign (&it ()); |
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it1_ = it.it1_; |
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it2_ = it.it2_; |
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#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING |
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t2_ = it.t2_; |
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#endif |
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return *this; |
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} |
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|
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// Comparison |
|
BOOST_UBLAS_INLINE |
|
bool 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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BOOST_UBLAS_INLINE |
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bool operator < (const const_iterator1 &it) const { |
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BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ()); |
|
BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); |
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return it1_ < it.it1_; |
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} |
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|
|
private: |
|
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING |
|
const_subiterator1_type it1_; |
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// Mutable due to assignment |
|
/* const */ const_subiterator2_type it2_; |
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value_type t2_; |
|
#else |
|
const_subiterator1_type it1_; |
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const_subiterator2_type it2_; |
|
#endif |
|
}; |
|
#endif |
|
|
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BOOST_UBLAS_INLINE |
|
const_iterator1 begin1 () const { |
|
return find1 (0, 0, 0); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_iterator1 end1 () const { |
|
return find1 (0, size1 (), 0); |
|
} |
|
|
|
#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 end () const { |
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator1 (begin ()); |
|
} |
|
#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 end2 () const { |
|
return find2 (0, 0, size2 ()); |
|
} |
|
|
|
// Reverse iterators |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rbegin1 () const { |
|
return const_reverse_iterator1 (end1 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rend1 () const { |
|
return const_reverse_iterator1 (begin1 ()); |
|
} |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rbegin2 () const { |
|
return const_reverse_iterator2 (end2 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rend2 () const { |
|
return const_reverse_iterator2 (begin2 ()); |
|
} |
|
|
|
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 end () const { |
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator2 (begin ()); |
|
} |
|
#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 end1 () const { |
|
return find1 (0, size1 (), 0); |
|
} |
|
|
|
#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 end () const { |
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator1 (begin ()); |
|
} |
|
#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 end2 () const { |
|
return find2 (0, 0, size2 ()); |
|
} |
|
|
|
// Reverse iterators |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rbegin1 () const { |
|
return const_reverse_iterator1 (end1 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rend1 () const { |
|
return const_reverse_iterator1 (begin1 ()); |
|
} |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rbegin2 () const { |
|
return const_reverse_iterator2 (end2 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rend2 () const { |
|
return const_reverse_iterator2 (begin2 ()); |
|
} |
|
|
|
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 end () const { |
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator2 (begin ()); |
|
} |
|
#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 end1 () const { |
|
return find1 (0, size1 (), 0); |
|
} |
|
|
|
#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 end () const { |
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator1 (begin ()); |
|
} |
|
#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 end2 () const { |
|
return find2 (0, 0, size2 ()); |
|
} |
|
|
|
// Reverse iterators |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rbegin1 () const { |
|
return const_reverse_iterator1 (end1 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rend1 () const { |
|
return const_reverse_iterator1 (begin1 ()); |
|
} |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rbegin2 () const { |
|
return const_reverse_iterator2 (end2 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rend2 () const { |
|
return const_reverse_iterator2 (begin2 ()); |
|
} |
|
|
|
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 end () const { |
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator2 (begin ()); |
|
} |
|
#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 end1 () const { |
|
return find1 (0, size1 (), 0); |
|
} |
|
|
|
#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 end () const { |
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator1 (begin ()); |
|
} |
|
#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 end2 () const { |
|
return find2 (0, 0, size2 ()); |
|
} |
|
|
|
// Reverse iterators |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rbegin1 () const { |
|
return const_reverse_iterator1 (end1 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rend1 () const { |
|
return const_reverse_iterator1 (begin1 ()); |
|
} |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rbegin2 () const { |
|
return const_reverse_iterator2 (end2 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rend2 () const { |
|
return const_reverse_iterator2 (begin2 ()); |
|
} |
|
|
|
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 end () const { |
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator2 (begin ()); |
|
} |
|
#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 end1 () const { |
|
return find1 (0, size1 (), 0); |
|
} |
|
|
|
#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 end () const { |
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator1 (begin ()); |
|
} |
|
#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 end2 () const { |
|
return find2 (0, 0, size2 ()); |
|
} |
|
|
|
// Reverse iterators |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rbegin1 () const { |
|
return const_reverse_iterator1 (end1 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rend1 () const { |
|
return const_reverse_iterator1 (begin1 ()); |
|
} |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rbegin2 () const { |
|
return const_reverse_iterator2 (end2 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rend2 () const { |
|
return const_reverse_iterator2 (begin2 ()); |
|
} |
|
|
|
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 end () const { |
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator2 (begin ()); |
|
} |
|
#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 end1 () const { |
|
return find1 (0, size1 (), 0); |
|
} |
|
|
|
#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 end () const { |
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator1 (begin ()); |
|
} |
|
#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 end2 () const { |
|
return find2 (0, 0, size2 ()); |
|
} |
|
|
|
// Reverse iterators |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rbegin1 () const { |
|
return const_reverse_iterator1 (end1 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rend1 () const { |
|
return const_reverse_iterator1 (begin1 ()); |
|
} |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rbegin2 () const { |
|
return const_reverse_iterator2 (end2 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rend2 () const { |
|
return const_reverse_iterator2 (begin2 ()); |
|
} |
|
|
|
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 matrix_binary_scalar2_traits<E1, const T2, scalar_divides<typename E1::value_type, T2> >::result_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 end () const { |
|
return find (size ()); |
|
} |
|
|
|
// 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 rend () const { |
|
return const_reverse_iterator (begin ()); |
|
} |
|
|
|
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 end () const { |
|
return find (size ()); |
|
} |
|
|
|
// 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 rend () const { |
|
return const_reverse_iterator (begin ()); |
|
} |
|
|
|
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 end () const { |
|
return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator2 (begin ()); |
|
} |
|
#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 end1 () const { |
|
return find1 (0, size1 (), 0); |
|
} |
|
|
|
#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 end () const { |
|
return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); |
|
} |
|
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 rend () const { |
|
return const_reverse_iterator1 (begin ()); |
|
} |
|
#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 end2 () const { |
|
return find2 (0, 0, size2 ()); |
|
} |
|
|
|
// Reverse iterators |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rbegin1 () const { |
|
return const_reverse_iterator1 (end1 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator1 rend1 () const { |
|
return const_reverse_iterator1 (begin1 ()); |
|
} |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rbegin2 () const { |
|
return const_reverse_iterator2 (end2 ()); |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_reverse_iterator2 rend2 () const { |
|
return const_reverse_iterator2 (begin2 ()); |
|
} |
|
|
|
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) { |
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typedef typename matrix_scalar_unary_traits<E, matrix_norm_1<E> >::expression_type expression_type; |
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return expression_type (e ()); |
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} |
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template<class E> |
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BOOST_UBLAS_INLINE |
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typename matrix_scalar_unary_traits<E, matrix_norm_frobenius<E> >::result_type |
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norm_frobenius (const matrix_expression<E> &e) { |
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typedef typename matrix_scalar_unary_traits<E, matrix_norm_frobenius<E> >::expression_type expression_type; |
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return expression_type (e ()); |
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} |
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template<class E> |
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BOOST_UBLAS_INLINE |
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typename matrix_scalar_unary_traits<E, matrix_norm_inf<E> >::result_type |
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norm_inf (const matrix_expression<E> &e) { |
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typedef typename matrix_scalar_unary_traits<E, matrix_norm_inf<E> >::expression_type expression_type; |
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return expression_type (e ()); |
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} |
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}}} |
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#endif
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