1753 lines
65 KiB
Plaintext
1753 lines
65 KiB
Plaintext
//
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// Copyright (c) 2000-2002
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// Joerg Walter, Mathias Koch
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//
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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//
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// The authors gratefully acknowledge the support of
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// GeNeSys mbH & Co. KG in producing this work.
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//
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#ifndef _BOOST_UBLAS_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 cbegin () const {
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return 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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const_iterator cend () const {
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return 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 crbegin () const {
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return rbegin ();
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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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const_reverse_iterator crend () const {
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return rend ();
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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 cbegin () const {
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return 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 find (size ());
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}
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BOOST_UBLAS_INLINE
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const_iterator cend () const {
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return 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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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 crbegin () const {
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return rbegin ();
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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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const_reverse_iterator crend () const {
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return rend ();
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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;
|
|
return expression_type (e ());
|
|
}
|
|
|
|
template<class E1, class E2, class F>
|
|
class vector_binary:
|
|
public vector_expression<vector_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 vector_binary<E1, E2, F> self_type;
|
|
public:
|
|
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
|
|
using vector_expression<vector_binary<E1, E2, F> >::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_storage_tag storage_category;
|
|
|
|
// Construction and destruction
|
|
BOOST_UBLAS_INLINE
|
|
vector_binary (const expression1_type &e1, const expression2_type &e2):
|
|
e1_ (e1), e2_ (e2) {}
|
|
|
|
// Accessors
|
|
BOOST_UBLAS_INLINE
|
|
size_type size () const {
|
|
return BOOST_UBLAS_SAME (e1_.size (), e2_.size ());
|
|
}
|
|
|
|
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:
|
|
// Element access
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator () (size_type i) const {
|
|
return functor_type::apply (e1_ (i), e2_ (i));
|
|
}
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reference operator [] (size_type i) const {
|
|
return functor_type::apply (e1_ [i], e2_ [i]);
|
|
}
|
|
|
|
// Closure comparison
|
|
BOOST_UBLAS_INLINE
|
|
bool same_closure (const vector_binary &vb) const {
|
|
return (*this).expression1 ().same_closure (vb.expression1 ()) &&
|
|
(*this).expression2 ().same_closure (vb.expression2 ());
|
|
}
|
|
|
|
// Iterator types
|
|
private:
|
|
typedef typename E1::const_iterator 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 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;
|
|
#else
|
|
class const_iterator;
|
|
typedef const_iterator iterator;
|
|
#endif
|
|
|
|
// Element lookup
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator find (size_type i) const {
|
|
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 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator end () const {
|
|
return find (size ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator cend () const {
|
|
return end ();
|
|
}
|
|
|
|
// Reverse iterator
|
|
typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rbegin () const {
|
|
return const_reverse_iterator (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rend () const {
|
|
return const_reverse_iterator (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crend () const {
|
|
return rend ();
|
|
}
|
|
|
|
private:
|
|
expression1_closure_type e1_;
|
|
expression2_closure_type e2_;
|
|
};
|
|
|
|
template<class 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 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator end () const {
|
|
return find (size ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator cend () const {
|
|
return end ();
|
|
}
|
|
|
|
// Reverse iterator
|
|
typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rbegin () const {
|
|
return const_reverse_iterator (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rend () const {
|
|
return const_reverse_iterator (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crend () const {
|
|
return end ();
|
|
}
|
|
|
|
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 cbegin () const {
|
|
return begin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator end () const {
|
|
return find (size ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_iterator cend () const {
|
|
return end ();
|
|
}
|
|
|
|
// Reverse iterator
|
|
typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
|
|
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rbegin () const {
|
|
return const_reverse_iterator (end ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crbegin () const {
|
|
return rbegin ();
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator rend () const {
|
|
return const_reverse_iterator (begin ());
|
|
}
|
|
BOOST_UBLAS_INLINE
|
|
const_reverse_iterator crend () const {
|
|
return rend ();
|
|
}
|
|
|
|
private:
|
|
expression1_closure_type e1_;
|
|
expression2_closure_type e2_;
|
|
};
|
|
|
|
template<class 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 enable_if< is_convertible<T2, typename E1::value_type >,
|
|
typename vector_binary_scalar2_traits<E1, const T2, scalar_divides<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_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
|