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1669 lines
62 KiB
1669 lines
62 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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#ifndef _BOOST_UBLAS_VECTOR_EXPRESSION_ |
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#define _BOOST_UBLAS_VECTOR_EXPRESSION_ |
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#include <boost/numeric/ublas/expression_types.hpp> |
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// Expression templates based on ideas of Todd Veldhuizen and Geoffrey Furnish |
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// Iterators based on ideas of Jeremy Siek |
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// |
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// Classes that model the Vector Expression concept |
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namespace boost { namespace numeric { namespace ublas { |
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template<class E> |
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class vector_reference: |
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public vector_expression<vector_reference<E> > { |
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typedef vector_reference<E> self_type; |
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public: |
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#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS |
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using vector_expression<vector_reference<E> >::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::storage_category storage_category; |
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// Construction and destruction |
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BOOST_UBLAS_INLINE |
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explicit vector_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 size () const { |
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return expression ().size (); |
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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) const { |
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return expression () (i); |
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} |
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BOOST_UBLAS_INLINE |
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reference operator () (size_type i) { |
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return expression () (i); |
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} |
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BOOST_UBLAS_INLINE |
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const_reference operator [] (size_type i) const { |
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return expression () [i]; |
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} |
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BOOST_UBLAS_INLINE |
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reference operator [] (size_type i) { |
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return expression () [i]; |
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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) const { |
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return expression () (i); |
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} |
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BOOST_UBLAS_INLINE |
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reference operator [] (size_type i) const { |
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return expression () [i]; |
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} |
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#endif |
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// Assignment |
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BOOST_UBLAS_INLINE |
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vector_reference &operator = (const vector_reference &v) { |
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expression ().operator = (v); |
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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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vector_reference &operator = (const vector_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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vector_reference &assign (const vector_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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vector_reference &operator += (const vector_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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vector_reference &plus_assign (const vector_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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vector_reference &operator -= (const vector_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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vector_reference &minus_assign (const vector_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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vector_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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vector_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 (vector_reference &v) { |
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expression ().swap (v.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 vector_reference &vr) const { |
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return &(*this).e_ == &vr.e_; |
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} |
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// Iterator types |
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typedef typename E::const_iterator const_iterator; |
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typedef typename boost::mpl::if_<boost::is_const<E>, |
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typename E::const_iterator, |
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typename E::iterator>::type iterator; |
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// Element lookup |
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BOOST_UBLAS_INLINE |
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const_iterator find (size_type i) const { |
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return expression ().find (i); |
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} |
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BOOST_UBLAS_INLINE |
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iterator find (size_type i) { |
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return expression ().find (i); |
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} |
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// Iterator is the iterator of the referenced expression. |
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BOOST_UBLAS_INLINE |
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const_iterator begin () const { |
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return expression ().begin (); |
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} |
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BOOST_UBLAS_INLINE |
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const_iterator end () const { |
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return expression ().end (); |
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} |
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BOOST_UBLAS_INLINE |
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iterator begin () { |
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return expression ().begin (); |
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} |
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BOOST_UBLAS_INLINE |
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iterator end () { |
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return expression ().end (); |
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} |
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// Reverse iterator |
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typedef reverse_iterator_base<const_iterator> const_reverse_iterator; |
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typedef reverse_iterator_base<iterator> reverse_iterator; |
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BOOST_UBLAS_INLINE |
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const_reverse_iterator rbegin () const { |
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return const_reverse_iterator (end ()); |
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} |
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BOOST_UBLAS_INLINE |
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const_reverse_iterator rend () const { |
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return const_reverse_iterator (begin ()); |
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} |
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BOOST_UBLAS_INLINE |
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reverse_iterator rbegin () { |
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return reverse_iterator (end ()); |
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} |
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BOOST_UBLAS_INLINE |
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reverse_iterator rend () { |
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return reverse_iterator (begin ()); |
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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 E, class F> |
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class vector_unary: |
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public vector_expression<vector_unary<E, F> > { |
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typedef F functor_type; |
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typedef typename boost::mpl::if_<boost::is_same<F, scalar_identity<typename E::value_type> >, |
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E, |
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const E>::type expression_type; |
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typedef typename boost::mpl::if_<boost::is_const<expression_type>, |
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typename E::const_closure_type, |
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typename E::closure_type>::type expression_closure_type; |
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typedef vector_unary<E, F> self_type; |
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public: |
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#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS |
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using vector_expression<vector_unary<E, F> >::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 F::result_type value_type; |
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typedef value_type const_reference; |
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typedef typename boost::mpl::if_<boost::is_same<F, scalar_identity<value_type> >, |
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typename E::reference, |
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value_type>::type reference; |
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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 unknown_storage_tag storage_category; |
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// Construction and destruction |
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BOOST_UBLAS_INLINE |
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// May be used as mutable expression. |
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explicit vector_unary (expression_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 size () const { |
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return e_.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 expression_closure_type &expression () const { |
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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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BOOST_UBLAS_INLINE |
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const_reference operator () (size_type i) const { |
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return functor_type::apply (e_ (i)); |
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} |
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BOOST_UBLAS_INLINE |
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reference operator () (size_type i) { |
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BOOST_STATIC_ASSERT ((boost::is_same<functor_type, scalar_identity<value_type > >::value)); |
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return e_ (i); |
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} |
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BOOST_UBLAS_INLINE |
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const_reference operator [] (size_type i) const { |
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return functor_type::apply (e_ [i]); |
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} |
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BOOST_UBLAS_INLINE |
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reference operator [] (size_type i) { |
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BOOST_STATIC_ASSERT ((boost::is_same<functor_type, scalar_identity<value_type > >::value)); |
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return e_ [i]; |
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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_unary &vu) const { |
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return (*this).expression ().same_closure (vu.expression ()); |
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} |
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// Iterator types |
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private: |
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typedef typename E::const_iterator const_subiterator_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 indexed_const_iterator<const_closure_type, typename const_subiterator_type::iterator_category> const_iterator; |
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typedef const_iterator iterator; |
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#else |
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class const_iterator; |
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typedef const_iterator iterator; |
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#endif |
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// Element lookup |
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BOOST_UBLAS_INLINE |
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const_iterator find (size_type i) const { |
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#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR |
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const_subiterator_type it (e_.find (i)); |
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return const_iterator (*this, it.index ()); |
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#else |
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return const_iterator (*this, e_.find (i)); |
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#endif |
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} |
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// Iterator enhances the iterator of the referenced expression |
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// with the unary functor. |
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#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR |
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class const_iterator: |
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public container_const_reference<vector_unary>, |
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public iterator_base_traits<typename E::const_iterator::iterator_category>::template |
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iterator_base<const_iterator, value_type>::type { |
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public: |
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typedef typename E::const_iterator::iterator_category iterator_category; |
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typedef typename vector_unary::difference_type difference_type; |
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typedef typename vector_unary::value_type value_type; |
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typedef typename vector_unary::const_reference reference; |
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typedef typename vector_unary::const_pointer pointer; |
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// Construction and destruction |
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BOOST_UBLAS_INLINE |
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const_iterator (): |
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container_const_reference<self_type> (), it_ () {} |
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BOOST_UBLAS_INLINE |
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const_iterator (const self_type &vu, const const_subiterator_type &it): |
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container_const_reference<self_type> (vu), it_ (it) {} |
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// Arithmetic |
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BOOST_UBLAS_INLINE |
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const_iterator &operator ++ () { |
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++ it_; |
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return *this; |
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} |
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BOOST_UBLAS_INLINE |
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const_iterator &operator -- () { |
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-- it_; |
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return *this; |
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} |
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BOOST_UBLAS_INLINE |
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const_iterator &operator += (difference_type n) { |
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it_ += n; |
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return *this; |
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} |
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BOOST_UBLAS_INLINE |
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const_iterator &operator -= (difference_type n) { |
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it_ -= 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_iterator &it) const { |
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BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ()); |
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return it_ - it.it_; |
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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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return functor_type::apply (*it_); |
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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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// Index |
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BOOST_UBLAS_INLINE |
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size_type index () const { |
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return it_.index (); |
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} |
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// Assignment |
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BOOST_UBLAS_INLINE |
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const_iterator &operator = (const const_iterator &it) { |
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container_const_reference<self_type>::assign (&it ()); |
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it_ = it.it_; |
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return *this; |
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} |
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// Comparison |
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BOOST_UBLAS_INLINE |
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bool operator == (const const_iterator &it) const { |
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BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ()); |
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return it_ == it.it_; |
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} |
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BOOST_UBLAS_INLINE |
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bool operator < (const const_iterator &it) const { |
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BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ()); |
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return it_ < it.it_; |
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} |
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private: |
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const_subiterator_type it_; |
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}; |
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#endif |
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BOOST_UBLAS_INLINE |
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const_iterator begin () const { |
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return find (0); |
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} |
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BOOST_UBLAS_INLINE |
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const_iterator end () const { |
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return find (size ()); |
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} |
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// Reverse iterator |
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typedef reverse_iterator_base<const_iterator> const_reverse_iterator; |
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BOOST_UBLAS_INLINE |
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const_reverse_iterator rbegin () const { |
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return const_reverse_iterator (end ()); |
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} |
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BOOST_UBLAS_INLINE |
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const_reverse_iterator rend () const { |
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return const_reverse_iterator (begin ()); |
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} |
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private: |
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expression_closure_type e_; |
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}; |
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template<class E, class F> |
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struct vector_unary_traits { |
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typedef vector_unary<E, F> expression_type; |
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//FIXME |
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// #ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG |
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typedef expression_type result_type; |
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// #else |
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// typedef typename E::vector_temporary_type result_type; |
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// #endif |
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}; |
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// (- v) [i] = - v [i] |
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template<class E> |
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BOOST_UBLAS_INLINE |
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typename vector_unary_traits<E, scalar_negate<typename E::value_type> >::result_type |
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operator - (const vector_expression<E> &e) { |
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typedef typename vector_unary_traits<E, scalar_negate<typename E::value_type> >::expression_type expression_type; |
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return expression_type (e ()); |
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} |
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// (conj v) [i] = conj (v [i]) |
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template<class E> |
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BOOST_UBLAS_INLINE |
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typename vector_unary_traits<E, scalar_conj<typename E::value_type> >::result_type |
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conj (const vector_expression<E> &e) { |
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typedef typename vector_unary_traits<E, scalar_conj<typename E::value_type> >::expression_type expression_type; |
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return expression_type (e ()); |
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} |
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// (real v) [i] = real (v [i]) |
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template<class E> |
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BOOST_UBLAS_INLINE |
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typename vector_unary_traits<E, scalar_real<typename E::value_type> >::result_type |
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real (const vector_expression<E> &e) { |
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typedef typename vector_unary_traits<E, scalar_real<typename E::value_type> >::expression_type expression_type; |
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return expression_type (e ()); |
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} |
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// (imag v) [i] = imag (v [i]) |
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template<class E> |
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BOOST_UBLAS_INLINE |
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typename vector_unary_traits<E, scalar_imag<typename E::value_type> >::result_type |
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imag (const vector_expression<E> &e) { |
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typedef typename vector_unary_traits<E, scalar_imag<typename E::value_type> >::expression_type expression_type; |
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return expression_type (e ()); |
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} |
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// (trans v) [i] = v [i] |
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template<class E> |
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BOOST_UBLAS_INLINE |
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typename vector_unary_traits<const E, scalar_identity<typename E::value_type> >::result_type |
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trans (const vector_expression<E> &e) { |
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typedef typename vector_unary_traits<const E, scalar_identity<typename E::value_type> >::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 vector_unary_traits<E, scalar_identity<typename E::value_type> >::result_type |
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trans (vector_expression<E> &e) { |
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typedef typename vector_unary_traits<E, scalar_identity<typename E::value_type> >::expression_type expression_type; |
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return expression_type (e ()); |
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} |
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// (herm v) [i] = conj (v [i]) |
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template<class E> |
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BOOST_UBLAS_INLINE |
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typename vector_unary_traits<E, scalar_conj<typename E::value_type> >::result_type |
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herm (const vector_expression<E> &e) { |
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typedef typename vector_unary_traits<E, scalar_conj<typename E::value_type> >::expression_type expression_type; |
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return expression_type (e ()); |
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} |
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template<class E1, class E2, class F> |
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class vector_binary: |
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public vector_expression<vector_binary<E1, E2, F> > { |
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typedef E1 expression1_type; |
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typedef E2 expression2_type; |
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typedef F functor_type; |
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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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typedef vector_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 vector_expression<vector_binary<E1, E2, F> >::operator (); |
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#endif |
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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_storage_tag storage_category; |
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|
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// Construction and destruction |
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BOOST_UBLAS_INLINE |
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vector_binary (const expression1_type &e1, const expression2_type &e2): |
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e1_ (e1), e2_ (e2) {} |
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|
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// Accessors |
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BOOST_UBLAS_INLINE |
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size_type size () const { |
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return BOOST_UBLAS_SAME (e1_.size (), e2_.size ()); |
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} |
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|
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private: |
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// 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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|
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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) const { |
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return functor_type::apply (e1_ (i), e2_ (i)); |
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} |
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|
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BOOST_UBLAS_INLINE |
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const_reference operator [] (size_type i) const { |
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return functor_type::apply (e1_ [i], e2_ [i]); |
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} |
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|
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// Closure comparison |
|
BOOST_UBLAS_INLINE |
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bool same_closure (const vector_binary &vb) const { |
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return (*this).expression1 ().same_closure (vb.expression1 ()) && |
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(*this).expression2 ().same_closure (vb.expression2 ()); |
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} |
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|
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// Iterator types |
|
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; |
|
typedef const value_type *const_pointer; |
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|
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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, |
|
typename const_subiterator2_type::iterator_category>::iterator_category iterator_category; |
|
typedef indexed_const_iterator<const_closure_type, iterator_category> const_iterator; |
|
typedef const_iterator iterator; |
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#else |
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class const_iterator; |
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typedef const_iterator iterator; |
|
#endif |
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|
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// Element lookup |
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BOOST_UBLAS_INLINE |
|
const_iterator find (size_type i) const { |
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const_subiterator1_type it1 (e1_.find (i)); |
|
const_subiterator1_type it1_end (e1_.find (size ())); |
|
const_subiterator2_type it2 (e2_.find (i)); |
|
const_subiterator2_type it2_end (e2_.find (size ())); |
|
i = (std::min) (it1 != it1_end ? it1.index () : size (), |
|
it2 != it2_end ? it2.index () : size ()); |
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR |
|
return const_iterator (*this, i); |
|
#else |
|
return const_iterator (*this, i, it1, it1_end, it2, it2_end); |
|
#endif |
|
} |
|
|
|
// Iterator merges the iterators of the referenced expressions and |
|
// enhances them with the binary functor. |
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR |
|
class const_iterator: |
|
public container_const_reference<vector_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_iterator, 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_binary::difference_type difference_type; |
|
typedef typename vector_binary::value_type value_type; |
|
typedef typename vector_binary::const_reference reference; |
|
typedef typename vector_binary::const_pointer pointer; |
|
|
|
// Construction and destruction |
|
BOOST_UBLAS_INLINE |
|
const_iterator (): |
|
container_const_reference<self_type> (), i_ (), it1_ (), it1_end_ (), it2_ (), it2_end_ () {} |
|
BOOST_UBLAS_INLINE |
|
const_iterator (const self_type &vb, size_type i, |
|
const const_subiterator1_type &it1, const const_subiterator1_type &it1_end, |
|
const const_subiterator2_type &it2, const const_subiterator2_type &it2_end): |
|
container_const_reference<self_type> (vb), i_ (i), 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_.index () <= i_) |
|
++ it1_; |
|
if (it2_ != it2_end_) |
|
if (it2_.index () <= i_) |
|
++ it2_; |
|
++ i_; |
|
} |
|
BOOST_UBLAS_INLINE |
|
void decrement (packed_random_access_iterator_tag) { |
|
if (it1_ != it1_end_) |
|
if (i_ <= it1_.index ()) |
|
-- it1_; |
|
if (it2_ != it2_end_) |
|
if (i_ <= it2_.index ()) |
|
-- 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_) |
|
if (it1_.index () == i_) |
|
t1 = *it1_; |
|
value_type t2 = value_type/*zero*/(); |
|
if (it2_ != it2_end_) |
|
if (it2_.index () == i_) |
|
t2 = *it2_; |
|
return functor_type::apply (t1, t2); |
|
} |
|
|
|
// Sparse specializations |
|
BOOST_UBLAS_INLINE |
|
void increment (sparse_bidirectional_iterator_tag) { |
|
size_type index1 = (*this) ().size (); |
|
if (it1_ != it1_end_) { |
|
if (it1_.index () <= i_) |
|
++ it1_; |
|
if (it1_ != it1_end_) |
|
index1 = it1_.index (); |
|
} |
|
size_type index2 = (*this) ().size (); |
|
if (it2_ != it2_end_) { |
|
if (it2_.index () <= i_) |
|
++ it2_; |
|
if (it2_ != it2_end_) |
|
index2 = it2_.index (); |
|
} |
|
i_ = (std::min) (index1, index2); |
|
} |
|
BOOST_UBLAS_INLINE |
|
void decrement (sparse_bidirectional_iterator_tag) { |
|
size_type index1 = (*this) ().size (); |
|
if (it1_ != it1_end_) { |
|
if (i_ <= it1_.index ()) |
|
-- it1_; |
|
if (it1_ != it1_end_) |
|
index1 = it1_.index (); |
|
} |
|
size_type index2 = (*this) ().size (); |
|
if (it2_ != it2_end_) { |
|
if (i_ <= it2_.index ()) |
|
-- it2_; |
|
if (it2_ != it2_end_) |
|
index2 = it2_.index (); |
|
} |
|
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_) |
|
if (it1_.index () == i_) |
|
t1 = *it1_; |
|
value_type t2 = value_type/*zero*/(); |
|
if (it2_ != it2_end_) |
|
if (it2_.index () == i_) |
|
t2 = *it2_; |
|
return functor_type::apply (t1, t2); |
|
} |
|
|
|
public: |
|
// Arithmetic |
|
BOOST_UBLAS_INLINE |
|
const_iterator &operator ++ () { |
|
increment (iterator_category ()); |
|
return *this; |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_iterator &operator -- () { |
|
decrement (iterator_category ()); |
|
return *this; |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_iterator &operator += (difference_type n) { |
|
increment (iterator_category (), n); |
|
return *this; |
|
} |
|
BOOST_UBLAS_INLINE |
|
const_iterator &operator -= (difference_type n) { |
|
decrement (iterator_category (), n); |
|
return *this; |
|
} |
|
BOOST_UBLAS_INLINE |
|
difference_type operator - (const const_iterator &it) const { |
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ()); |
|
return index () - it.index (); |
|
} |
|
|
|
// 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 i_; |
|
} |
|
|
|
// Assignment |
|
BOOST_UBLAS_INLINE |
|
const_iterator &operator = (const const_iterator &it) { |
|
container_const_reference<self_type>::assign (&it ()); |
|
i_ = it.i_; |
|
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_iterator &it) const { |
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ()); |
|
return index () == it.index (); |
|
} |
|
BOOST_UBLAS_INLINE |
|
bool operator < (const const_iterator &it) const { |
|
BOOST_UBLAS_CHECK ((*this) ().same_closure (it ()), external_logic ()); |
|
return index () < it.index (); |
|
} |
|
|
|
private: |
|
size_type i_; |
|
const_subiterator1_type it1_; |
|
const_subiterator1_type it1_end_; |
|
const_subiterator2_type it2_; |
|
const_subiterator2_type it2_end_; |
|
}; |
|
#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 E1, class E2, class F> |
|
struct vector_binary_traits { |
|
typedef vector_binary<E1, E2, F> expression_type; |
|
#ifndef BOOST_UBLAS_SIMPLE_ET_DEBUG |
|
typedef expression_type result_type; |
|
#else |
|
typedef typename E1::vector_temporary_type result_type; |
|
#endif |
|
}; |
|
|
|
// (v1 + v2) [i] = v1 [i] + v2 [i] |
|
template<class E1, class E2> |
|
BOOST_UBLAS_INLINE |
|
typename vector_binary_traits<E1, E2, scalar_plus<typename E1::value_type, |
|
typename E2::value_type> >::result_type |
|
operator + (const vector_expression<E1> &e1, |
|
const vector_expression<E2> &e2) { |
|
typedef typename vector_binary_traits<E1, E2, scalar_plus<typename E1::value_type, |
|
typename E2::value_type> >::expression_type expression_type; |
|
return expression_type (e1 (), e2 ()); |
|
} |
|
|
|
// (v1 - v2) [i] = v1 [i] - v2 [i] |
|
template<class E1, class E2> |
|
BOOST_UBLAS_INLINE |
|
typename vector_binary_traits<E1, E2, scalar_minus<typename E1::value_type, |
|
typename E2::value_type> >::result_type |
|
operator - (const vector_expression<E1> &e1, |
|
const vector_expression<E2> &e2) { |
|
typedef typename vector_binary_traits<E1, E2, scalar_minus<typename E1::value_type, |
|
typename E2::value_type> >::expression_type expression_type; |
|
return expression_type (e1 (), e2 ()); |
|
} |
|
|
|
// (v1 * v2) [i] = v1 [i] * v2 [i] |
|
template<class E1, class E2> |
|
BOOST_UBLAS_INLINE |
|
typename vector_binary_traits<E1, E2, scalar_multiplies<typename E1::value_type, |
|
typename E2::value_type> >::result_type |
|
element_prod (const vector_expression<E1> &e1, |
|
const vector_expression<E2> &e2) { |
|
typedef typename vector_binary_traits<E1, E2, scalar_multiplies<typename E1::value_type, |
|
typename E2::value_type> >::expression_type expression_type; |
|
return expression_type (e1 (), e2 ()); |
|
} |
|
|
|
// (v1 / v2) [i] = v1 [i] / v2 [i] |
|
template<class E1, class E2> |
|
BOOST_UBLAS_INLINE |
|
typename vector_binary_traits<E1, E2, scalar_divides<typename E1::value_type, |
|
typename E2::value_type> >::result_type |
|
element_div (const vector_expression<E1> &e1, |
|
const vector_expression<E2> &e2) { |
|
typedef typename vector_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 vector_binary_scalar1: |
|
public vector_expression<vector_binary_scalar1<E1, E2, F> > { |
|
|
|
typedef F functor_type; |
|
typedef E1 expression1_type; |
|
typedef E2 expression2_type; |
|
public: |
|
typedef const E1& expression1_closure_type; |
|
typedef typename E2::const_closure_type expression2_closure_type; |
|
private: |
|
typedef vector_binary_scalar1<E1, E2, F> self_type; |
|
public: |
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS |
|
using vector_expression<vector_binary_scalar1<E1, E2, F> >::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 unknown_storage_tag storage_category; |
|
|
|
// Construction and destruction |
|
BOOST_UBLAS_INLINE |
|
vector_binary_scalar1 (const expression1_type &e1, const expression2_type &e2): |
|
e1_ (e1), e2_ (e2) {} |
|
|
|
// Accessors |
|
BOOST_UBLAS_INLINE |
|
size_type size () const { |
|
return e2_.size (); |
|
} |
|
|
|
public: |
|
// Element access |
|
BOOST_UBLAS_INLINE |
|
const_reference operator () (size_type i) const { |
|
return functor_type::apply (e1_, e2_ (i)); |
|
} |
|
|
|
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 vector_binary_scalar1 &vbs1) const { |
|
return &e1_ == &(vbs1.e1_) && |
|
(*this).e2_.same_closure (vbs1.e2_); |
|
} |
|
|
|
// Iterator types |
|
private: |
|
typedef expression1_type const_subiterator1_type; |
|
typedef typename expression2_type::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_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 i) const { |
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR |
|
const_subiterator2_type it (e2_.find (i)); |
|
return const_iterator (*this, it.index ()); |
|
#else |
|
return const_iterator (*this, const_subiterator1_type (e1_), e2_.find (i)); |
|
#endif |
|
} |
|
|
|
// Iterator enhances the iterator of the referenced vector expression |
|
// with the binary functor. |
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR |
|
class const_iterator: |
|
public container_const_reference<vector_binary_scalar1>, |
|
public iterator_base_traits<typename E2::const_iterator::iterator_category>::template |
|
iterator_base<const_iterator, value_type>::type { |
|
public: |
|
typedef typename E2::const_iterator::iterator_category iterator_category; |
|
typedef typename vector_binary_scalar1::difference_type difference_type; |
|
typedef typename vector_binary_scalar1::value_type value_type; |
|
typedef typename vector_binary_scalar1::const_reference reference; |
|
typedef typename vector_binary_scalar1::const_pointer pointer; |
|
|
|
// Construction and destruction |
|
BOOST_UBLAS_INLINE |
|
const_iterator (): |
|
container_const_reference<self_type> (), it1_ (), it2_ () {} |
|
BOOST_UBLAS_INLINE |
|
const_iterator (const self_type &vbs, const const_subiterator1_type &it1, const const_subiterator2_type &it2): |
|
container_const_reference<self_type> (vbs), it1_ (it1), it2_ (it2) {} |
|
|
|
// 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 ()); |
|
// 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); |
|
} |
|
|
|
// Index |
|
BOOST_UBLAS_INLINE |
|
size_type index () const { |
|
return it2_.index (); |
|
} |
|
|
|
// Assignment |
|
BOOST_UBLAS_INLINE |
|
const_iterator &operator = (const const_iterator &it) { |
|
container_const_reference<self_type>::assign (&it ()); |
|
it1_ = it.it1_; |
|
it2_ = it.it2_; |
|
return *this; |
|
} |
|
|
|
// Comparison |
|
BOOST_UBLAS_INLINE |
|
bool operator == (const const_iterator &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_iterator &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_subiterator2_type it2_; |
|
}; |
|
#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 E1, class E2, class F> |
|
struct vector_binary_scalar1_traits { |
|
typedef vector_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::vector_temporary_type result_type; |
|
#endif |
|
}; |
|
|
|
// (t * v) [i] = t * v [i] |
|
template<class T1, class E2> |
|
BOOST_UBLAS_INLINE |
|
typename enable_if< is_convertible<T1, typename E2::value_type >, |
|
typename vector_binary_scalar1_traits<const T1, E2, scalar_multiplies<T1, typename E2::value_type> >::result_type |
|
>::type |
|
operator * (const T1 &e1, |
|
const vector_expression<E2> &e2) { |
|
typedef typename vector_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 vector_binary_scalar2: |
|
public vector_expression<vector_binary_scalar2<E1, E2, F> > { |
|
|
|
typedef F functor_type; |
|
typedef E1 expression1_type; |
|
typedef E2 expression2_type; |
|
typedef typename E1::const_closure_type expression1_closure_type; |
|
typedef const E2& expression2_closure_type; |
|
typedef vector_binary_scalar2<E1, E2, F> self_type; |
|
public: |
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS |
|
using vector_expression<vector_binary_scalar2<E1, E2, F> >::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 unknown_storage_tag storage_category; |
|
|
|
// Construction and destruction |
|
BOOST_UBLAS_INLINE |
|
vector_binary_scalar2 (const expression1_type &e1, const expression2_type &e2): |
|
e1_ (e1), e2_ (e2) {} |
|
|
|
// Accessors |
|
BOOST_UBLAS_INLINE |
|
size_type size () const { |
|
return e1_.size (); |
|
} |
|
|
|
public: |
|
// Element access |
|
BOOST_UBLAS_INLINE |
|
const_reference operator () (size_type i) const { |
|
return functor_type::apply (e1_ (i), e2_); |
|
} |
|
|
|
BOOST_UBLAS_INLINE |
|
const_reference operator [] (size_type i) const { |
|
return functor_type::apply (e1_ [i], e2_); |
|
} |
|
|
|
// Closure comparison |
|
BOOST_UBLAS_INLINE |
|
bool same_closure (const vector_binary_scalar2 &vbs2) const { |
|
return (*this).e1_.same_closure (vbs2.e1_) && |
|
&e2_ == &(vbs2.e2_); |
|
} |
|
|
|
// Iterator types |
|
private: |
|
typedef typename expression1_type::const_iterator const_subiterator1_type; |
|
typedef expression2_type 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 i) const { |
|
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR |
|
const_subiterator1_type it (e1_.find (i)); |
|
return const_iterator (*this, it.index ()); |
|
#else |
|
return const_iterator (*this, e1_.find (i), const_subiterator2_type (e2_)); |
|
#endif |
|
} |
|
|
|
// Iterator enhances the iterator of the referenced vector expression |
|
// with the binary functor. |
|
|
|
#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR |
|
class const_iterator: |
|
public container_const_reference<vector_binary_scalar2>, |
|
public iterator_base_traits<typename E1::const_iterator::iterator_category>::template |
|
iterator_base<const_iterator, value_type>::type { |
|
public: |
|
typedef typename E1::const_iterator::iterator_category iterator_category; |
|
typedef typename vector_binary_scalar2::difference_type difference_type; |
|
typedef typename vector_binary_scalar2::value_type value_type; |
|
typedef typename vector_binary_scalar2::const_reference reference; |
|
typedef typename vector_binary_scalar2::const_pointer pointer; |
|
|
|
// Construction and destruction |
|
BOOST_UBLAS_INLINE |
|
const_iterator (): |
|
container_const_reference<self_type> (), it1_ (), it2_ () {} |
|
BOOST_UBLAS_INLINE |
|
const_iterator (const self_type &vbs, const const_subiterator1_type &it1, const const_subiterator2_type &it2): |
|
container_const_reference<self_type> (vbs), it1_ (it1), it2_ (it2) {} |
|
|
|
// 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 ()); |
|
// 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); |
|
} |
|
|
|
// Index |
|
BOOST_UBLAS_INLINE |
|
size_type index () const { |
|
return it1_.index (); |
|
} |
|
|
|
// Assignment |
|
BOOST_UBLAS_INLINE |
|
const_iterator &operator = (const const_iterator &it) { |
|
container_const_reference<self_type>::assign (&it ()); |
|
it1_ = it.it1_; |
|
it2_ = it.it2_; |
|
return *this; |
|
} |
|
|
|
// Comparison |
|
BOOST_UBLAS_INLINE |
|
bool operator == (const const_iterator &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_iterator &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_subiterator1_type it1_; |
|
const_subiterator2_type it2_; |
|
}; |
|
#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 E1, class E2, class F> |
|
struct vector_binary_scalar2_traits { |
|
typedef vector_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::vector_temporary_type result_type; |
|
#endif |
|
}; |
|
|
|
// (v * t) [i] = v [i] * t |
|
template<class E1, class T2> |
|
BOOST_UBLAS_INLINE |
|
typename enable_if< is_convertible<T2, typename E1::value_type >, |
|
typename vector_binary_scalar2_traits<E1, const T2, scalar_multiplies<typename E1::value_type, T2> >::result_type |
|
>::type |
|
operator * (const vector_expression<E1> &e1, |
|
const T2 &e2) { |
|
typedef typename vector_binary_scalar2_traits<E1, const T2, scalar_multiplies<typename E1::value_type, T2> >::expression_type expression_type; |
|
return expression_type (e1 (), e2); |
|
} |
|
|
|
// (v / t) [i] = v [i] / t |
|
template<class E1, class T2> |
|
BOOST_UBLAS_INLINE |
|
typename vector_binary_scalar2_traits<E1, const T2, scalar_divides<typename E1::value_type, T2> >::result_type |
|
operator / (const vector_expression<E1> &e1, |
|
const T2 &e2) { |
|
typedef typename vector_binary_scalar2_traits<E1, const T2, scalar_divides<typename E1::value_type, T2> >::expression_type expression_type; |
|
return expression_type (e1 (), e2); |
|
} |
|
|
|
|
|
template<class E, class F> |
|
class vector_scalar_unary: |
|
public scalar_expression<vector_scalar_unary<E, F> > { |
|
|
|
typedef E expression_type; |
|
typedef F functor_type; |
|
typedef typename E::const_closure_type expression_closure_type; |
|
typedef typename E::const_iterator::iterator_category iterator_category; |
|
typedef vector_scalar_unary<E, F> self_type; |
|
public: |
|
typedef typename F::result_type value_type; |
|
typedef typename E::difference_type difference_type; |
|
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 |
|
explicit vector_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 evaluate (iterator_category ()); |
|
} |
|
|
|
private: |
|
// Dense random access specialization |
|
BOOST_UBLAS_INLINE |
|
value_type evaluate (dense_random_access_iterator_tag) const { |
|
#ifdef BOOST_UBLAS_USE_INDEXING |
|
return functor_type::apply (e_); |
|
#elif BOOST_UBLAS_USE_ITERATING |
|
difference_type size = e_.size (); |
|
return functor_type::apply (size, e_.begin ()); |
|
#else |
|
difference_type size = e_.size (); |
|
if (size >= BOOST_UBLAS_ITERATOR_THRESHOLD) |
|
return functor_type::apply (size, e_.begin ()); |
|
else |
|
return functor_type::apply (e_); |
|
#endif |
|
} |
|
|
|
// Packed bidirectional specialization |
|
BOOST_UBLAS_INLINE |
|
value_type evaluate (packed_random_access_iterator_tag) const { |
|
return functor_type::apply (e_.begin (), e_.end ()); |
|
} |
|
|
|
// Sparse bidirectional specialization |
|
BOOST_UBLAS_INLINE |
|
value_type evaluate (sparse_bidirectional_iterator_tag) const { |
|
return functor_type::apply (e_.begin (), e_.end ()); |
|
} |
|
|
|
private: |
|
expression_closure_type e_; |
|
}; |
|
|
|
template<class E, class F> |
|
struct vector_scalar_unary_traits { |
|
typedef vector_scalar_unary<E, F> expression_type; |
|
#if !defined (BOOST_UBLAS_SIMPLE_ET_DEBUG) && defined (BOOST_UBLAS_USE_SCALAR_ET) |
|
// FIXME don't define USE_SCALAR_ET other then for testing |
|
// They do not work for complex types |
|
typedef expression_type result_type; |
|
#else |
|
typedef typename F::result_type result_type; |
|
#endif |
|
}; |
|
|
|
// sum v = sum (v [i]) |
|
template<class E> |
|
BOOST_UBLAS_INLINE |
|
typename vector_scalar_unary_traits<E, vector_sum<E> >::result_type |
|
sum (const vector_expression<E> &e) { |
|
typedef typename vector_scalar_unary_traits<E, vector_sum<E> >::expression_type expression_type; |
|
return expression_type (e ()); |
|
} |
|
|
|
// real: norm_1 v = sum (abs (v [i])) |
|
// complex: norm_1 v = sum (abs (real (v [i])) + abs (imag (v [i]))) |
|
template<class E> |
|
BOOST_UBLAS_INLINE |
|
typename vector_scalar_unary_traits<E, vector_norm_1<E> >::result_type |
|
norm_1 (const vector_expression<E> &e) { |
|
typedef typename vector_scalar_unary_traits<E, vector_norm_1<E> >::expression_type expression_type; |
|
return expression_type (e ()); |
|
} |
|
|
|
// real: norm_2 v = sqrt (sum (v [i] * v [i])) |
|
// complex: norm_2 v = sqrt (sum (v [i] * conj (v [i]))) |
|
template<class E> |
|
BOOST_UBLAS_INLINE |
|
typename vector_scalar_unary_traits<E, vector_norm_2<E> >::result_type |
|
norm_2 (const vector_expression<E> &e) { |
|
typedef typename vector_scalar_unary_traits<E, vector_norm_2<E> >::expression_type expression_type; |
|
return expression_type (e ()); |
|
} |
|
|
|
// real: norm_inf v = maximum (abs (v [i])) |
|
// complex: norm_inf v = maximum (maximum (abs (real (v [i])), abs (imag (v [i])))) |
|
template<class E> |
|
BOOST_UBLAS_INLINE |
|
typename vector_scalar_unary_traits<E, vector_norm_inf<E> >::result_type |
|
norm_inf (const vector_expression<E> &e) { |
|
typedef typename vector_scalar_unary_traits<E, vector_norm_inf<E> >::expression_type expression_type; |
|
return expression_type (e ()); |
|
} |
|
|
|
// real: index_norm_inf v = minimum (i: abs (v [i]) == maximum (abs (v [i]))) |
|
template<class E> |
|
BOOST_UBLAS_INLINE |
|
typename vector_scalar_unary_traits<E, vector_index_norm_inf<E> >::result_type |
|
index_norm_inf (const vector_expression<E> &e) { |
|
typedef typename vector_scalar_unary_traits<E, vector_index_norm_inf<E> >::expression_type expression_type; |
|
return expression_type (e ()); |
|
} |
|
|
|
template<class E1, class E2, class F> |
|
class vector_scalar_binary: |
|
public scalar_expression<vector_scalar_binary<E1, E2, F> > { |
|
|
|
typedef E1 expression1_type; |
|
typedef E2 expression2_type; |
|
typedef F functor_type; |
|
typedef typename E1::const_closure_type expression1_closure_type; |
|
typedef typename E2::const_closure_type expression2_closure_type; |
|
typedef typename iterator_restrict_traits<typename E1::const_iterator::iterator_category, |
|
typename E2::const_iterator::iterator_category>::iterator_category iterator_category; |
|
typedef vector_scalar_binary<E1, E2, F> self_type; |
|
public: |
|
static const unsigned complexity = 1; |
|
typedef typename F::result_type value_type; |
|
typedef typename E1::difference_type difference_type; |
|
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 |
|
vector_scalar_binary (const expression1_type &e1, const expression2_type &e2): |
|
e1_ (e1), e2_ (e2) {} |
|
|
|
private: |
|
// Accessors |
|
BOOST_UBLAS_INLINE |
|
const expression1_closure_type &expression1 () const { |
|
return e1_; |
|
} |
|
BOOST_UBLAS_INLINE |
|
const expression2_closure_type &expression2 () const { |
|
return e2_; |
|
} |
|
|
|
public: |
|
BOOST_UBLAS_INLINE |
|
operator value_type () const { |
|
return evaluate (iterator_category ()); |
|
} |
|
|
|
private: |
|
// Dense random access specialization |
|
BOOST_UBLAS_INLINE |
|
value_type evaluate (dense_random_access_iterator_tag) const { |
|
BOOST_UBLAS_CHECK (e1_.size () == e2_.size (), external_logic()); |
|
#ifdef BOOST_UBLAS_USE_INDEXING |
|
return functor_type::apply (e1_, e2_); |
|
#elif BOOST_UBLAS_USE_ITERATING |
|
difference_type size = BOOST_UBLAS_SAME (e1_.size (), e2_.size ()); |
|
return functor_type::apply (size, e1_.begin (), e2_.begin ()); |
|
#else |
|
difference_type size = BOOST_UBLAS_SAME (e1_.size (), e2_.size ()); |
|
if (size >= BOOST_UBLAS_ITERATOR_THRESHOLD) |
|
return functor_type::apply (size, e1_.begin (), e2_.begin ()); |
|
else |
|
return functor_type::apply (e1_, e2_); |
|
#endif |
|
} |
|
|
|
// Packed bidirectional specialization |
|
BOOST_UBLAS_INLINE |
|
value_type evaluate (packed_random_access_iterator_tag) const { |
|
BOOST_UBLAS_CHECK (e1_.size () == e2_.size (), external_logic()); |
|
return functor_type::apply (e1_.begin (), e1_.end (), e2_.begin (), e2_.end ()); |
|
} |
|
|
|
// Sparse bidirectional specialization |
|
BOOST_UBLAS_INLINE |
|
value_type evaluate (sparse_bidirectional_iterator_tag) const { |
|
BOOST_UBLAS_CHECK (e1_.size () == e2_.size (), external_logic()); |
|
return functor_type::apply (e1_.begin (), e1_.end (), e2_.begin (), e2_.end (), sparse_bidirectional_iterator_tag ()); |
|
} |
|
|
|
private: |
|
expression1_closure_type e1_; |
|
expression2_closure_type e2_; |
|
}; |
|
|
|
template<class E1, class E2, class F> |
|
struct vector_scalar_binary_traits { |
|
typedef vector_scalar_binary<E1, E2, F> expression_type; |
|
#if !defined (BOOST_UBLAS_SIMPLE_ET_DEBUG) && defined (BOOST_UBLAS_USE_SCALAR_ET) |
|
// FIXME don't define USE_SCALAR_ET other then for testing |
|
// They do not work for complex types |
|
typedef expression_type result_type; |
|
#else |
|
typedef typename F::result_type result_type; |
|
#endif |
|
}; |
|
|
|
// inner_prod (v1, v2) = sum (v1 [i] * v2 [i]) |
|
template<class E1, class E2> |
|
BOOST_UBLAS_INLINE |
|
typename vector_scalar_binary_traits<E1, E2, vector_inner_prod<E1, E2, |
|
typename promote_traits<typename E1::value_type, |
|
typename E2::value_type>::promote_type> >::result_type |
|
inner_prod (const vector_expression<E1> &e1, |
|
const vector_expression<E2> &e2) { |
|
typedef typename vector_scalar_binary_traits<E1, E2, vector_inner_prod<E1, E2, |
|
typename promote_traits<typename E1::value_type, |
|
typename E2::value_type>::promote_type> >::expression_type expression_type; |
|
return expression_type (e1 (), e2 ()); |
|
} |
|
|
|
template<class E1, class E2> |
|
BOOST_UBLAS_INLINE |
|
typename vector_scalar_binary_traits<E1, E2, vector_inner_prod<E1, E2, |
|
typename type_traits<typename promote_traits<typename E1::value_type, |
|
typename E2::value_type>::promote_type>::precision_type> >::result_type |
|
prec_inner_prod (const vector_expression<E1> &e1, |
|
const vector_expression<E2> &e2) { |
|
typedef typename vector_scalar_binary_traits<E1, E2, vector_inner_prod<E1, E2, |
|
typename type_traits<typename promote_traits<typename E1::value_type, |
|
typename E2::value_type>::promote_type>::precision_type> >::expression_type expression_type; |
|
return expression_type (e1 (), e2 ()); |
|
} |
|
|
|
}}} |
|
|
|
#endif
|
|
|