1576 lines
74 KiB
C++
1576 lines
74 KiB
C++
//
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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_CONCEPTS_
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#define _BOOST_UBLAS_CONCEPTS_
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#include <boost/concept_check.hpp>
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// Concept checks based on ideas of Jeremy Siek
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namespace boost { namespace numeric { namespace ublas {
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template<class I>
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struct Indexed1DIteratorConcept {
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typedef I iterator_type;
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void constraints () {
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iterator_type it = iterator_type ();
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// Index
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it.index ();
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}
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};
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template<class I>
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struct IndexedBidirectional1DIteratorConcept {
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typedef I iterator_type;
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void constraints () {
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function_requires< BidirectionalIteratorConcept<iterator_type> >();
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function_requires< Indexed1DIteratorConcept<iterator_type> >();
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}
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};
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template<class I>
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struct Mutable_IndexedBidirectional1DIteratorConcept {
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typedef I iterator_type;
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void constraints () {
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function_requires< Mutable_BidirectionalIteratorConcept<iterator_type> >();
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function_requires< Indexed1DIteratorConcept<iterator_type> >();
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}
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};
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template<class I>
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struct IndexedRandomAccess1DIteratorConcept {
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typedef I iterator_type;
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void constraints () {
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function_requires< RandomAccessIteratorConcept<iterator_type> >();
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function_requires< Indexed1DIteratorConcept<iterator_type> >();
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}
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};
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template<class I>
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struct Mutable_IndexedRandomAccess1DIteratorConcept {
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typedef I iterator_type;
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void constraints () {
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function_requires< Mutable_RandomAccessIteratorConcept<iterator_type> >();
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function_requires< Indexed1DIteratorConcept<iterator_type> >();
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}
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};
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template<class I>
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struct Indexed2DIteratorConcept {
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typedef I iterator_type;
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typedef typename I::dual_iterator_type dual_iterator_type;
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typedef typename I::dual_reverse_iterator_type dual_reverse_iterator_type;
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void constraints () {
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iterator_type it = iterator_type ();
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// Indices
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it.index1 ();
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it.index2 ();
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// Iterator begin/end
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dual_iterator_type it_begin (it.begin ());
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dual_iterator_type it_end (it.end ());
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// Reverse iterator begin/end
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dual_reverse_iterator_type it_rbegin (it.rbegin ());
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dual_reverse_iterator_type it_rend (it.rend ());
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ignore_unused_variable_warning (it_begin);
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ignore_unused_variable_warning (it_end);
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ignore_unused_variable_warning (it_rbegin);
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ignore_unused_variable_warning (it_rend);
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}
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};
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template<class I1, class I2>
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struct IndexedBidirectional2DIteratorConcept {
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typedef I1 subiterator1_type;
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typedef I2 subiterator2_type;
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void constraints () {
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function_requires< BidirectionalIteratorConcept<subiterator1_type> >();
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function_requires< BidirectionalIteratorConcept<subiterator2_type> >();
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function_requires< Indexed2DIteratorConcept<subiterator1_type> >();
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function_requires< Indexed2DIteratorConcept<subiterator2_type> >();
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}
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};
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template<class I1, class I2>
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struct Mutable_IndexedBidirectional2DIteratorConcept {
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typedef I1 subiterator1_type;
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typedef I2 subiterator2_type;
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void constraints () {
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function_requires< Mutable_BidirectionalIteratorConcept<subiterator1_type> >();
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function_requires< Mutable_BidirectionalIteratorConcept<subiterator2_type> >();
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function_requires< Indexed2DIteratorConcept<subiterator1_type> >();
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function_requires< Indexed2DIteratorConcept<subiterator2_type> >();
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}
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};
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template<class I1, class I2>
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struct IndexedRandomAccess2DIteratorConcept {
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typedef I1 subiterator1_type;
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typedef I2 subiterator2_type;
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void constraints () {
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function_requires< RandomAccessIteratorConcept<subiterator1_type> >();
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function_requires< RandomAccessIteratorConcept<subiterator2_type> >();
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function_requires< Indexed2DIteratorConcept<subiterator1_type> >();
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function_requires< Indexed2DIteratorConcept<subiterator2_type> >();
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}
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};
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template<class I1, class I2>
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struct Mutable_IndexedRandomAccess2DIteratorConcept {
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typedef I1 subiterator1_type;
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typedef I2 subiterator2_type;
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void constraints () {
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function_requires< Mutable_RandomAccessIteratorConcept<subiterator1_type> >();
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function_requires< Mutable_RandomAccessIteratorConcept<subiterator2_type> >();
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function_requires< Indexed2DIteratorConcept<subiterator1_type> >();
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function_requires< Indexed2DIteratorConcept<subiterator2_type> >();
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}
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};
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template<class C>
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struct StorageArrayConcept {
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typedef C container_type;
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typedef typename C::size_type size_type;
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typedef typename C::value_type value_type;
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void constraints () {
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function_requires< RandomAccessContainerConcept<container_type> >();
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size_type n (0);
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// Sizing constructor
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container_type c = container_type (n);
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// Initialised sizing constructor
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container_type (n, value_type (5));
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ignore_unused_variable_warning (c);
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}
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};
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template<class C>
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struct Mutable_StorageArrayConcept {
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typedef C container_type;
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typedef typename C::size_type size_type;
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typedef typename C::value_type value_type;
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typedef typename C::iterator iterator_type;
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void constraints () {
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function_requires< Mutable_RandomAccessContainerConcept<container_type> > ();
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size_type n (0);
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// Sizing constructor
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container_type c = container_type (n);
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// Initialised sizing constructor
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c = container_type (n, value_type (3));
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// Resize
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c.resize (n, value_type (5));
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// Resize - none preserving
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c.resize (n);
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}
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};
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template<class C>
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struct StorageSparseConcept {
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typedef C container_type;
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typedef typename C::size_type size_type;
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void constraints () {
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function_requires< ReversibleContainerConcept<container_type> > ();
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}
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};
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template<class C>
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struct Mutable_StorageSparseConcept {
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typedef C container_type;
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typedef typename C::size_type size_type;
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typedef typename C::value_type value_type;
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typedef typename C::iterator iterator_type;
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void constraints () {
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// NOTE - Not Mutable_ReversibleContainerConcept
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function_requires< ReversibleContainerConcept<container_type> >();
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container_type c = container_type ();
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value_type t = value_type ();
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iterator_type it = iterator_type (), it1 = iterator_type (), it2 = iterator_type ();
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// Insert
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c.insert (it, t);
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// Erase
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c.erase (it);
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// Range erase
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c.erase (it1, it2);
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// Clear
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c.clear ();
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}
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};
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template<class G>
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struct IndexSetConcept {
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typedef G generator_type;
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typedef typename G::size_type size_type;
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typedef typename G::value_type value_type;
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void constraints () {
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function_requires< AssignableConcept<generator_type> >();
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function_requires< ReversibleContainerConcept<generator_type> >();
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generator_type g = generator_type ();
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size_type n (0);
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value_type t;
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// Element access
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t = g (n);
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ignore_unused_variable_warning (t);
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}
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};
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/** \brief Scalar expression concept.
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*
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* requirements
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* \li \c SE::value_type is the type of the scalar expression
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* \li \c SE must be convertable to \c SE::value_type
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* \li the constant \c SE::complexity must exist
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*
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* \param SE the type of the scalar expression
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*/
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template<class SE>
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struct ScalarExpressionConcept {
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typedef SE scalar_expression_type;
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typedef typename SE::value_type value_type;
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static const unsigned complexity = SE::complexity;
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void constraints () {
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scalar_expression_type *sp;
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scalar_expression_type s = *sp;
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value_type t;
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// Conversion
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t = s;
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ignore_unused_variable_warning (t);
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}
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};
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/** \brief Vector expression concept.
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*
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* requirements
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* \li \c VE::value_type is the type of the elements
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* \li \c VE::const_reference The return type when accessing an element of a constant vector
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* expression. Must be convertable to a \c value_type.
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* \li \c VE::size_type is the (unsigned) type of the indices
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* \li \c VE::difference_type is the (signed) type of distances between indices
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* \li \c VE::category
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*
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* \li the constant \c SE::complexity must exist
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*
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* \param SE the type of the scalar expression
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*/
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template<class VE>
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struct VectorExpressionConcept {
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typedef VE vector_expression_type;
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typedef typename VE::type_category type_category;
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typedef typename VE::size_type size_type;
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typedef typename VE::difference_type difference_type;
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typedef typename VE::value_type value_type;
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typedef typename VE::const_reference const_reference;
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typedef typename VE::const_iterator const_iterator_type;
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typedef typename VE::const_reverse_iterator const_reverse_iterator_type;
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void constraints () {
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vector_expression_type *vp;
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const vector_expression_type *cvp;
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vector_expression_type v = *vp;
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const vector_expression_type cv = *cvp;
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size_type n (0), i (0);
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value_type t;
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// Find (internal?)
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const_iterator_type cit (v.find (i));
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// Beginning of range
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const_iterator_type cit_begin (v.begin ());
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// End of range
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const_iterator_type cit_end (v.end ());
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// Size
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n = v.size ();
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// Beginning of reverse range
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const_reverse_iterator_type crit_begin (cv.rbegin ());
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// End of reverse range
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const_reverse_iterator_type crit_end (cv.rend ());
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// Element access
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t = v (i);
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ignore_unused_variable_warning (n);
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ignore_unused_variable_warning (cit);
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ignore_unused_variable_warning (cit_begin);
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ignore_unused_variable_warning (cit_end);
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ignore_unused_variable_warning (crit_begin);
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ignore_unused_variable_warning (crit_end);
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ignore_unused_variable_warning (t);
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}
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};
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template<class VE>
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struct Mutable_VectorExpressionConcept {
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typedef VE vector_expression_type;
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typedef typename VE::size_type size_type;
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typedef typename VE::value_type value_type;
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typedef typename VE::iterator iterator_type;
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typedef typename VE::reverse_iterator reverse_iterator_type;
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void constraints () {
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function_requires< AssignableConcept<vector_expression_type> >();
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function_requires< VectorExpressionConcept<vector_expression_type> >();
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vector_expression_type *vp;
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vector_expression_type v = *vp, v1 = *vp, v2 = *vp;
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size_type i (0);
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value_type t = value_type ();
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// Find (internal?)
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iterator_type it (v.find (i));
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// Beginning of range
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iterator_type it_begin (v.begin ());
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// End of range
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iterator_type it_end (v.end ());
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// Swap
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v1.swap (v2);
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// Beginning of reverse range
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reverse_iterator_type rit_begin (v.rbegin ());
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// End of reverse range
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reverse_iterator_type rit_end (v.rend ());
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// Assignments
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v2 = v1;
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v2.assign (v1);
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v2 += v1;
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v2.plus_assign (v1);
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v2 -= v1;
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v2.minus_assign (v1);
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v *= t;
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ignore_unused_variable_warning (it);
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ignore_unused_variable_warning (it_begin);
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ignore_unused_variable_warning (it_end);
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ignore_unused_variable_warning (rit_begin);
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ignore_unused_variable_warning (rit_end);
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}
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};
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template<class ME>
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struct MatrixExpressionConcept {
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typedef ME matrix_expression_type;
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typedef typename ME::type_category type_category;
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typedef typename ME::size_type size_type;
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typedef typename ME::value_type value_type;
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typedef typename ME::const_iterator1 const_subiterator1_type;
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typedef typename ME::const_iterator2 const_subiterator2_type;
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typedef typename ME::const_reverse_iterator1 const_reverse_subiterator1_type;
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typedef typename ME::const_reverse_iterator2 const_reverse_subiterator2_type;
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void constraints () {
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matrix_expression_type *mp;
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const matrix_expression_type *cmp;
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matrix_expression_type m = *mp;
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const matrix_expression_type cm = *cmp;
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size_type n (0), i (0), j (0);
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value_type t;
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// Find (internal?)
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const_subiterator1_type cit1 (m.find1 (0, i, j));
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const_subiterator2_type cit2 (m.find2 (0, i, j));
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// Beginning of range
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const_subiterator1_type cit1_begin (m.begin1 ());
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const_subiterator2_type cit2_begin (m.begin2 ());
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// End of range
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const_subiterator1_type cit1_end (m.end1 ());
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const_subiterator2_type cit2_end (m.end2 ());
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// Size
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n = m.size1 ();
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n = m.size2 ();
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// Beginning of reverse range
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const_reverse_subiterator1_type crit1_begin (cm.rbegin1 ());
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const_reverse_subiterator2_type crit2_begin (cm.rbegin2 ());
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// End of reverse range
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const_reverse_subiterator1_type crit1_end (cm.rend1 ());
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const_reverse_subiterator2_type crit2_end (cm.rend2 ());
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// Element access
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t = m (i, j);
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ignore_unused_variable_warning (n);
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ignore_unused_variable_warning (cit1);
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ignore_unused_variable_warning (cit2);
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ignore_unused_variable_warning (cit1_begin);
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ignore_unused_variable_warning (cit2_begin);
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ignore_unused_variable_warning (cit1_end);
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ignore_unused_variable_warning (cit2_end);
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ignore_unused_variable_warning (crit1_begin);
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ignore_unused_variable_warning (crit2_begin);
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ignore_unused_variable_warning (crit1_end);
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ignore_unused_variable_warning (crit2_end);
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ignore_unused_variable_warning (t);
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}
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};
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template<class ME>
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struct Mutable_MatrixExpressionConcept {
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typedef ME matrix_expression_type;
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typedef typename ME::size_type size_type;
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typedef typename ME::value_type value_type;
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typedef typename ME::iterator1 subiterator1_type;
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typedef typename ME::iterator2 subiterator2_type;
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typedef typename ME::reverse_iterator1 reverse_subiterator1_type;
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typedef typename ME::reverse_iterator2 reverse_subiterator2_type;
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void constraints () {
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function_requires< AssignableConcept<matrix_expression_type> >();
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function_requires< MatrixExpressionConcept<matrix_expression_type> >();
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matrix_expression_type *mp;
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matrix_expression_type m = *mp, m1 = *mp, m2 = *mp;
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size_type i (0), j (0);
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value_type t = value_type ();
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// Find (internal?)
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subiterator1_type it1 (m.find1 (0, i, j));
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subiterator2_type it2 (m.find2 (0, i, j));
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// Beginning of range
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subiterator1_type it1_begin (m.begin1 ());
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subiterator2_type it2_begin (m.begin2 ());
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// End of range
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subiterator1_type it1_end (m.end1 ());
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subiterator2_type it2_end (m.end2 ());
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// Swap
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m1.swap (m2);
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// Beginning of reverse range
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reverse_subiterator1_type rit1_begin (m.rbegin1 ());
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reverse_subiterator2_type rit2_begin (m.rbegin2 ());
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// End of reverse range
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reverse_subiterator1_type rit1_end (m.rend1 ());
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reverse_subiterator2_type rit2_end (m.rend2 ());
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// Assignments
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m2 = m1;
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m2.assign (m1);
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m2 += m1;
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m2.plus_assign (m1);
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m2 -= m1;
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m2.minus_assign (m1);
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m *= t;
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ignore_unused_variable_warning (it1);
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ignore_unused_variable_warning (it2);
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ignore_unused_variable_warning (it1_begin);
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ignore_unused_variable_warning (it2_begin);
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ignore_unused_variable_warning (it1_end);
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ignore_unused_variable_warning (it2_end);
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ignore_unused_variable_warning (rit1_begin);
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ignore_unused_variable_warning (rit2_begin);
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ignore_unused_variable_warning (rit1_end);
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ignore_unused_variable_warning (rit2_end);
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}
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};
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template<class V>
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struct VectorConcept {
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typedef V vector_type;
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typedef typename V::size_type size_type;
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typedef typename V::value_type value_type;
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typedef const value_type *const_pointer;
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void constraints () {
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function_requires< VectorExpressionConcept<vector_type> >();
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size_type n (0);
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size_type i (0);
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// Sizing constructor
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vector_type v (n);
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// Element support
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const_pointer p = v.find_element (i);
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ignore_unused_variable_warning (p);
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}
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};
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template<class V>
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struct Mutable_VectorConcept {
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typedef V vector_type;
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typedef typename V::size_type size_type;
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typedef typename V::value_type value_type;
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typedef value_type *pointer;
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void constraints () {
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function_requires< VectorConcept<vector_type> >();
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function_requires< DefaultConstructible<vector_type> >();
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function_requires< Mutable_VectorExpressionConcept<vector_type> >();
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size_type n (0);
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|
value_type t = value_type ();
|
|
size_type i (0);
|
|
vector_type v;
|
|
// Element support
|
|
pointer p = v.find_element (i);
|
|
// Element assignment
|
|
value_type r = v.insert_element (i, t);
|
|
v.insert_element (i, t) = r;
|
|
// Zeroing
|
|
v.clear ();
|
|
// Resize
|
|
v.resize (n);
|
|
|
|
ignore_unused_variable_warning (p);
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
template<class V>
|
|
struct SparseVectorConcept {
|
|
typedef V vector_type;
|
|
typedef typename V::size_type size_type;
|
|
|
|
void constraints () {
|
|
function_requires< VectorConcept<vector_type> >();
|
|
}
|
|
};
|
|
|
|
template<class V>
|
|
struct Mutable_SparseVectorConcept {
|
|
typedef V vector_type;
|
|
typedef typename V::size_type size_type;
|
|
typedef typename V::value_type value_type;
|
|
|
|
void constraints () {
|
|
function_requires< SparseVectorConcept<vector_type> >();
|
|
function_requires< Mutable_VectorConcept<vector_type> >();
|
|
size_type i (0);
|
|
vector_type v;
|
|
// Element erasure
|
|
v.erase_element (i);
|
|
}
|
|
};
|
|
|
|
template<class M>
|
|
struct MatrixConcept {
|
|
typedef M matrix_type;
|
|
typedef typename M::size_type size_type;
|
|
typedef typename M::value_type value_type;
|
|
typedef const value_type *const_pointer;
|
|
|
|
void constraints () {
|
|
function_requires< MatrixExpressionConcept<matrix_type> >();
|
|
size_type n (0);
|
|
size_type i (0), j (0);
|
|
// Sizing constructor
|
|
matrix_type m (n, n);
|
|
// Element support
|
|
#ifndef SKIP_BAD
|
|
const_pointer p = m.find_element (i, j);
|
|
#else
|
|
const_pointer p;
|
|
ignore_unused_variable_warning (i);
|
|
ignore_unused_variable_warning (j);
|
|
#endif
|
|
ignore_unused_variable_warning (p);
|
|
}
|
|
};
|
|
|
|
template<class M>
|
|
struct Mutable_MatrixConcept {
|
|
typedef M matrix_type;
|
|
typedef typename M::size_type size_type;
|
|
typedef typename M::value_type value_type;
|
|
typedef value_type *pointer;
|
|
|
|
void constraints () {
|
|
function_requires< MatrixConcept<matrix_type> >();
|
|
function_requires< DefaultConstructible<matrix_type> >();
|
|
function_requires< Mutable_MatrixExpressionConcept<matrix_type> >();
|
|
size_type n (0);
|
|
value_type t = value_type ();
|
|
size_type i (0), j (0);
|
|
matrix_type m;
|
|
// Element support
|
|
#ifndef SKIP_BAD
|
|
pointer p = m.find_element (i, j);
|
|
ignore_unused_variable_warning (i);
|
|
ignore_unused_variable_warning (j);
|
|
#else
|
|
pointer p;
|
|
#endif
|
|
// Element assigment
|
|
value_type r = m.insert_element (i, j, t);
|
|
m.insert_element (i, j, t) = r;
|
|
// Zeroing
|
|
m.clear ();
|
|
// Resize
|
|
m.resize (n, n);
|
|
m.resize (n, n, false);
|
|
|
|
ignore_unused_variable_warning (p);
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
template<class M>
|
|
struct SparseMatrixConcept {
|
|
typedef M matrix_type;
|
|
typedef typename M::size_type size_type;
|
|
|
|
void constraints () {
|
|
function_requires< MatrixConcept<matrix_type> >();
|
|
}
|
|
};
|
|
|
|
template<class M>
|
|
struct Mutable_SparseMatrixConcept {
|
|
typedef M matrix_type;
|
|
typedef typename M::size_type size_type;
|
|
typedef typename M::value_type value_type;
|
|
|
|
void constraints () {
|
|
function_requires< SparseMatrixConcept<matrix_type> >();
|
|
function_requires< Mutable_MatrixConcept<matrix_type> >();
|
|
size_type i (0), j (0);
|
|
matrix_type m;
|
|
// Elemnent erasure
|
|
m.erase_element (i, j);
|
|
}
|
|
};
|
|
|
|
/** introduce anonymous namespace to make following functions
|
|
* local to the current compilation unit.
|
|
*/
|
|
namespace {
|
|
|
|
// Replaced the ZeroElement and OneElement functions with the templated versions
|
|
// because the former where giving warnings with clang
|
|
template<class T>
|
|
T
|
|
ZeroElement (T) {
|
|
return T(0.0);
|
|
}
|
|
|
|
template<class T>
|
|
vector<T>
|
|
ZeroElement (vector<T>) {
|
|
return zero_vector<T> ();
|
|
}
|
|
|
|
template<class T>
|
|
matrix<T>
|
|
ZeroElement (matrix<T>) {
|
|
return zero_matrix<T> ();
|
|
}
|
|
|
|
template<class T>
|
|
T
|
|
OneElement (T) {
|
|
return T(0.0);
|
|
}
|
|
|
|
template<class T>
|
|
vector<T>
|
|
OneElement (vector<T>) {
|
|
return zero_vector<T> ();
|
|
}
|
|
|
|
template<class T>
|
|
matrix<T>
|
|
OneElement (matrix<T>) {
|
|
return identity_matrix<T> ();
|
|
}
|
|
|
|
// template<>
|
|
// float
|
|
// ZeroElement (float) {
|
|
// return 0.f;
|
|
// }
|
|
// template<>
|
|
// double
|
|
// ZeroElement (double) {
|
|
// return 0.;
|
|
// }
|
|
// template<>
|
|
// vector<float>
|
|
// ZeroElement (vector<float>) {
|
|
// return zero_vector<float> ();
|
|
// }
|
|
// template<>
|
|
// vector<double>
|
|
// ZeroElement (vector<double>) {
|
|
// return zero_vector<double> ();
|
|
// }
|
|
// template<>
|
|
// matrix<float>
|
|
// ZeroElement (matrix<float>) {
|
|
// return zero_matrix<float> ();
|
|
// }
|
|
// template<>
|
|
// matrix<double>
|
|
// ZeroElement (matrix<double>) {
|
|
// return zero_matrix<double> ();
|
|
// }
|
|
// template<>
|
|
// std::complex<float>
|
|
// ZeroElement (std::complex<float>) {
|
|
// return std::complex<float> (0.f);
|
|
// }
|
|
// template<>
|
|
// std::complex<double>
|
|
// ZeroElement (std::complex<double>) {
|
|
// return std::complex<double> (0.);
|
|
// }
|
|
// template<>
|
|
// vector<std::complex<float> >
|
|
// ZeroElement (vector<std::complex<float> >) {
|
|
// return zero_vector<std::complex<float> > ();
|
|
// }
|
|
// template<>
|
|
// vector<std::complex<double> >
|
|
// ZeroElement (vector<std::complex<double> >) {
|
|
// return zero_vector<std::complex<double> > ();
|
|
// }
|
|
// template<>
|
|
// matrix<std::complex<float> >
|
|
// ZeroElement (matrix<std::complex<float> >) {
|
|
// return zero_matrix<std::complex<float> > ();
|
|
// }
|
|
// template<>
|
|
// matrix<std::complex<double> >
|
|
// ZeroElement (matrix<std::complex<double> >) {
|
|
// return zero_matrix<std::complex<double> > ();
|
|
// }
|
|
|
|
// template<class T>
|
|
// T
|
|
// OneElement (T);
|
|
// template<>
|
|
// float
|
|
// OneElement (float) {
|
|
// return 1.f;
|
|
// }
|
|
// template<>
|
|
// double
|
|
// OneElement (double) {
|
|
// return 1.;
|
|
// }
|
|
// template<>
|
|
// matrix<float>
|
|
// OneElement (matrix<float>) {
|
|
// return identity_matrix<float> ();
|
|
// }
|
|
// template<>
|
|
// matrix<double>
|
|
// OneElement (matrix<double>) {
|
|
// return identity_matrix<double> ();
|
|
// }
|
|
// template<>
|
|
// std::complex<float>
|
|
// OneElement (std::complex<float>) {
|
|
// return std::complex<float> (1.f);
|
|
// }
|
|
// template<>
|
|
// std::complex<double>
|
|
// OneElement (std::complex<double>) {
|
|
// return std::complex<double> (1.);
|
|
// }
|
|
// template<>
|
|
// matrix<std::complex<float> >
|
|
// OneElement (matrix<std::complex<float> >) {
|
|
// return identity_matrix<std::complex<float> > ();
|
|
// }
|
|
// template<>
|
|
// matrix<std::complex<double> >
|
|
// OneElement (matrix<std::complex<double> >) {
|
|
// return identity_matrix<std::complex<double> > ();
|
|
// }
|
|
|
|
template<class E1, class E2>
|
|
bool
|
|
operator == (const vector_expression<E1> &e1, const vector_expression<E2> &e2) {
|
|
typedef typename promote_traits<typename E1::value_type,
|
|
typename E2::value_type>::promote_type value_type;
|
|
typedef typename type_traits<value_type>::real_type real_type;
|
|
return norm_inf (e1 - e2) == real_type/*zero*/();
|
|
}
|
|
template<class E1, class E2>
|
|
bool
|
|
operator == (const matrix_expression<E1> &e1, const matrix_expression<E2> &e2) {
|
|
typedef typename promote_traits<typename E1::value_type,
|
|
typename E2::value_type>::promote_type value_type;
|
|
typedef typename type_traits<value_type>::real_type real_type;
|
|
return norm_inf (e1 - e2) == real_type/*zero*/();
|
|
}
|
|
|
|
template<class T>
|
|
struct AdditiveAbelianGroupConcept {
|
|
typedef T value_type;
|
|
|
|
void constraints () {
|
|
bool r;
|
|
value_type a = value_type (), b = value_type (), c = value_type ();
|
|
r = (a + b) + c == a + (b + c);
|
|
r = ZeroElement (value_type ()) + a == a;
|
|
r = a + ZeroElement (value_type ()) == a;
|
|
r = a + (- a) == ZeroElement (value_type ());
|
|
r = (- a) + a == ZeroElement (value_type ());
|
|
r = a + b == b + a;
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
template<class T>
|
|
struct MultiplicativeAbelianGroupConcept {
|
|
typedef T value_type;
|
|
|
|
void constraints () {
|
|
bool r;
|
|
value_type a = value_type (), b = value_type (), c = value_type ();
|
|
r = (a * b) * c == a * (b * c);
|
|
r = OneElement (value_type ()) * a == a;
|
|
r = a * OneElement (value_type ()) == a;
|
|
r = a * (OneElement (value_type ()) / a) == a;
|
|
r = (OneElement (value_type ()) / a) * a == a;
|
|
r = a * b == b * a;
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
template<class T>
|
|
struct RingWithIdentityConcept {
|
|
typedef T value_type;
|
|
|
|
void constraints () {
|
|
function_requires< AdditiveAbelianGroupConcept<value_type> >();
|
|
bool r;
|
|
value_type a = value_type (), b = value_type (), c = value_type ();
|
|
r = (a * b) * c == a * (b * c);
|
|
r = (a + b) * c == a * c + b * c;
|
|
r = OneElement (value_type ()) * a == a;
|
|
r = a * OneElement (value_type ()) == a;
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
template<class T>
|
|
struct Prod_RingWithIdentityConcept {
|
|
typedef T value_type;
|
|
|
|
void constraints () {
|
|
function_requires< AdditiveAbelianGroupConcept<value_type> >();
|
|
bool r;
|
|
value_type a = value_type (), b = value_type (), c = value_type ();
|
|
r = prod (T (prod (a, b)), c) == prod (a, T (prod (b, c)));
|
|
r = prod (a + b, c) == prod (a, c) + prod (b, c);
|
|
r = prod (OneElement (value_type ()), a) == a;
|
|
r = prod (a, OneElement (value_type ())) == a;
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
template<class T>
|
|
struct CommutativeRingWithIdentityConcept {
|
|
typedef T value_type;
|
|
|
|
void constraints () {
|
|
function_requires< RingWithIdentityConcept<value_type> >();
|
|
bool r;
|
|
value_type a = value_type (), b = value_type ();
|
|
r = a * b == b * a;
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
template<class T>
|
|
struct FieldConcept {
|
|
typedef T value_type;
|
|
|
|
void constraints () {
|
|
function_requires< CommutativeRingWithIdentityConcept<value_type> >();
|
|
bool r;
|
|
value_type a = value_type ();
|
|
r = a == ZeroElement (value_type ()) || a * (OneElement (value_type ()) / a) == a;
|
|
r = a == ZeroElement (value_type ()) || (OneElement (value_type ()) / a) * a == a;
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
template<class T, class V>
|
|
struct VectorSpaceConcept {
|
|
typedef T value_type;
|
|
typedef V vector_type;
|
|
|
|
void constraints () {
|
|
function_requires< FieldConcept<value_type> >();
|
|
function_requires< AdditiveAbelianGroupConcept<vector_type> >();
|
|
bool r;
|
|
value_type alpha = value_type (), beta = value_type ();
|
|
vector_type a = vector_type (), b = vector_type ();
|
|
r = alpha * (a + b) == alpha * a + alpha * b;
|
|
r = (alpha + beta) * a == alpha * a + beta * a;
|
|
r = (alpha * beta) * a == alpha * (beta * a);
|
|
r = OneElement (value_type ()) * a == a;
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
template<class T, class V, class M>
|
|
struct LinearOperatorConcept {
|
|
typedef T value_type;
|
|
typedef V vector_type;
|
|
typedef M matrix_type;
|
|
|
|
void constraints () {
|
|
function_requires< VectorSpaceConcept<value_type, vector_type> >();
|
|
bool r;
|
|
value_type alpha = value_type (), beta = value_type ();
|
|
vector_type a = vector_type (), b = vector_type ();
|
|
matrix_type A = matrix_type ();
|
|
r = prod (A, alpha * a + beta * b) == alpha * prod (A, a) + beta * prod (A, b);
|
|
ignore_unused_variable_warning (r);
|
|
}
|
|
};
|
|
|
|
inline void concept_checks () {
|
|
|
|
// Allow tests to be group to keep down compiler storage requirement
|
|
#ifdef INTERAL
|
|
#define INTERNAL_STORAGE
|
|
#define INTERNAL_VECTOR
|
|
#define INTERNAL_MATRIX
|
|
#define INTERNAL_SPECIAL
|
|
#define INTERNAL_SPARSE
|
|
#define INTERNAL_EXPRESSION
|
|
#endif
|
|
|
|
// TODO enable this for development
|
|
// #define VIEW_CONCEPTS
|
|
|
|
// Element value type for tests
|
|
typedef float T;
|
|
|
|
// Storage Array
|
|
#if defined (INTERNAL_STORAGE) || defined (INTERNAL_STORAGE_DENSE)
|
|
{
|
|
typedef std::vector<T> container_model;
|
|
function_requires< Mutable_StorageArrayConcept<container_model> >();
|
|
function_requires< RandomAccessIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_RandomAccessIteratorConcept<container_model::iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef bounded_array<T, 1> container_model;
|
|
function_requires< Mutable_StorageArrayConcept<container_model> >();
|
|
function_requires< RandomAccessIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_RandomAccessIteratorConcept<container_model::iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef unbounded_array<T> container_model;
|
|
function_requires< Mutable_StorageArrayConcept<container_model> >();
|
|
function_requires< RandomAccessIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_RandomAccessIteratorConcept<container_model::iterator> >();
|
|
}
|
|
|
|
/* FIXME array_adaptors are in progress
|
|
{
|
|
typedef array_adaptor<T> container_model;
|
|
function_requires< Mutable_StorageArrayConcept<container_model> >();
|
|
function_requires< RandomAccessIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_RandomAccessIteratorConcept<container_model::iterator> >();
|
|
}
|
|
*/
|
|
|
|
{
|
|
typedef range container_model;
|
|
function_requires< IndexSetConcept<range> >();
|
|
function_requires< RandomAccessIteratorConcept<range::const_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef slice container_model;
|
|
function_requires< IndexSetConcept<range> >();
|
|
function_requires< RandomAccessIteratorConcept<range::const_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef indirect_array<> container_model;
|
|
function_requires< IndexSetConcept<range> >();
|
|
function_requires< RandomAccessIteratorConcept<range::const_iterator> >();
|
|
}
|
|
#endif
|
|
|
|
// Storage Sparse
|
|
#if defined (INTERNAL_STORAGE) || defined (INTERNAL_STORAGE_SPARSE)
|
|
{
|
|
typedef map_array<std::size_t, T> container_model;
|
|
function_requires< Mutable_StorageSparseConcept<container_model> >();
|
|
function_requires< RandomAccessIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< RandomAccessIteratorConcept<container_model::iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef std::map<std::size_t, T> container_model;
|
|
function_requires< Mutable_StorageSparseConcept<container_model > >();
|
|
function_requires< BidirectionalIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< BidirectionalIteratorConcept<container_model::iterator> >();
|
|
}
|
|
#endif
|
|
|
|
#ifdef VIEW_CONCEPTS
|
|
// read only vectors
|
|
{
|
|
typedef vector_view<T> container_model;
|
|
function_requires< RandomAccessContainerConcept<container_model> >();
|
|
function_requires< VectorConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
}
|
|
#endif
|
|
|
|
// Vector
|
|
#if defined (INTERNAL_VECTOR) || defined (INTERNAL_VECTOR_DENSE)
|
|
{
|
|
typedef vector<T> container_model;
|
|
function_requires< RandomAccessContainerConcept<container_model> >();
|
|
function_requires< Mutable_VectorConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef zero_vector<T> container_model;
|
|
function_requires< VectorConcept<container_model> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef unit_vector<T> container_model;
|
|
function_requires< VectorConcept<container_model> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef scalar_vector<T> container_model;
|
|
function_requires< VectorConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef c_vector<T, 1> container_model;
|
|
function_requires< Mutable_VectorConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
#endif
|
|
|
|
// Vector Proxies
|
|
#if defined (INTERNAL_VECTOR) || defined (INTERNAL_VECTOR_PROXY)
|
|
{
|
|
typedef vector_range<vector<T> > container_model;
|
|
function_requires< Mutable_VectorExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_slice<vector<T> > container_model;
|
|
function_requires< Mutable_VectorExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_indirect<vector<T> > container_model;
|
|
function_requires< Mutable_VectorExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
#endif
|
|
|
|
// Sparse Vector
|
|
#if defined (INTERNAL_SPARSE) || defined (INTERNAL_VECTOR_SPARSE)
|
|
{
|
|
typedef mapped_vector<T> container_model;
|
|
function_requires< Mutable_SparseVectorConcept<container_model> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedBidirectional1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedBidirectional1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef compressed_vector<T> container_model;
|
|
function_requires< Mutable_SparseVectorConcept<container_model> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedBidirectional1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedBidirectional1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef coordinate_vector<T> container_model;
|
|
function_requires< Mutable_SparseVectorConcept<container_model> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedBidirectional1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedBidirectional1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedBidirectional1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
#endif
|
|
|
|
// Matrix
|
|
#if defined (INTERNAL_MATRIX) || defined (INTERNAL_MATRIX_DENSE)
|
|
{
|
|
typedef matrix<T> container_model;
|
|
function_requires< Mutable_MatrixConcept<matrix<T> > >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_of_vector<T> container_model;
|
|
function_requires< Mutable_MatrixConcept<matrix<T> > >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef zero_matrix<T> container_model;
|
|
function_requires< Mutable_MatrixConcept<matrix<T> > >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef identity_matrix<T> container_model;
|
|
function_requires< Mutable_MatrixConcept<matrix<T> > >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef scalar_matrix<T> container_model;
|
|
function_requires< Mutable_MatrixConcept<matrix<T> > >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef c_matrix<T, 1, 1> container_model;
|
|
function_requires< Mutable_MatrixConcept<matrix<T> > >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
#endif
|
|
|
|
// Matrix Proxies
|
|
#if defined (INTERNAL_MATRIX) || defined (INTERNAL_MATRIX_PROXY)
|
|
{
|
|
typedef matrix_row<matrix<T> > container_model;
|
|
function_requires< Mutable_VectorExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_column<matrix<T> > container_model;
|
|
function_requires< Mutable_VectorExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_vector_range<matrix<T> > container_model;
|
|
function_requires< Mutable_VectorExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_vector_slice<matrix<T> > container_model;
|
|
function_requires< Mutable_VectorExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_vector_indirect<matrix<T> > container_model;
|
|
function_requires< Mutable_VectorExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<container_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<container_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_range<matrix<T> > container_model;
|
|
function_requires< Mutable_MatrixExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_slice<matrix<T> > container_model;
|
|
function_requires< Mutable_MatrixExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_indirect<matrix<T> > container_model;
|
|
function_requires< Mutable_MatrixExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
#endif
|
|
|
|
// Banded Matrix
|
|
#if defined (INTERNAL_SPECIAL) || defined (INTERNAL_BANDED)
|
|
{
|
|
typedef banded_matrix<T> container_model;
|
|
function_requires< Mutable_MatrixConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef banded_adaptor<matrix<T> > container_model;
|
|
function_requires< Mutable_MatrixExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
#endif
|
|
|
|
// Triangular Matrix
|
|
#if defined (INTERNAL_SPECIAL) || defined (INTERNAL_TRIANGULAR)
|
|
{
|
|
typedef triangular_matrix<T> container_model;
|
|
function_requires< Mutable_MatrixConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef triangular_adaptor<matrix<T> > container_model;
|
|
function_requires< Mutable_MatrixExpressionConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
#endif
|
|
|
|
// Symmetric Matrix
|
|
#if defined (INTERNA_SPECIAL) || defined (INTERNAL_SYMMETRIC)
|
|
{
|
|
typedef symmetric_matrix<T> container_model;
|
|
function_requires< Mutable_MatrixConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef banded_adaptor<matrix<T> > container_model;
|
|
#ifndef SKIP_BAD
|
|
// const_iterator (iterator) constructor is bad
|
|
function_requires< Mutable_MatrixExpressionConcept<container_model> >();
|
|
#endif
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
#endif
|
|
|
|
// Hermitian Matrix
|
|
#if defined (INTERNAL_SPECIAL) || defined (INTERNAL_HERMITIAN)
|
|
{
|
|
typedef hermitian_matrix<T> container_model;
|
|
function_requires< Mutable_MatrixConcept<container_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef hermitian_adaptor<matrix<T> > container_model;
|
|
#ifndef SKIP_BAD
|
|
// const_iterator (iterator) constructor is bad
|
|
function_requires< Mutable_MatrixExpressionConcept<container_model> >();
|
|
#endif
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
#endif
|
|
|
|
// Sparse Matrix
|
|
#if defined (INTERNAL_SPARSE) || defined (INTERNAL_MATRIX_SPARSE)
|
|
{
|
|
typedef mapped_matrix<T> container_model;
|
|
function_requires< Mutable_SparseMatrixConcept<container_model> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
{
|
|
typedef mapped_vector_of_mapped_vector<T> container_model;
|
|
function_requires< Mutable_SparseMatrixConcept<container_model> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
{
|
|
typedef compressed_matrix<T> container_model;
|
|
function_requires< Mutable_SparseMatrixConcept<container_model> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
{
|
|
typedef coordinate_matrix<T> container_model;
|
|
function_requires< Mutable_SparseMatrixConcept<container_model> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
{
|
|
typedef generalized_vector_of_vector<T, row_major, vector< coordinate_vector<T> > > container_model;
|
|
function_requires< Mutable_SparseMatrixConcept<container_model> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_iterator1, container_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::iterator1, container_model::iterator2> >();
|
|
function_requires< IndexedBidirectional2DIteratorConcept<container_model::const_reverse_iterator1, container_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedBidirectional2DIteratorConcept<container_model::reverse_iterator1, container_model::reverse_iterator2> >();
|
|
}
|
|
|
|
#endif
|
|
|
|
// Scalar Expressions
|
|
#if defined (INTERNAL_EXPRESSION) || defined (INTERNAL_VECTOR_EXPRESSION)
|
|
function_requires< ScalarExpressionConcept<scalar_value<T> > >();
|
|
function_requires< ScalarExpressionConcept<scalar_reference<T> > >();
|
|
|
|
// Vector Expressions
|
|
{
|
|
typedef vector_reference<vector<T> > expression_model;
|
|
function_requires< VectorExpressionConcept<expression_model> >();
|
|
function_requires< Mutable_VectorExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<expression_model::iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_reverse_iterator> >();
|
|
function_requires< Mutable_IndexedRandomAccess1DIteratorConcept<expression_model::reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_unary<vector<T>, scalar_identity<T> > expression_model;
|
|
function_requires< VectorExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_binary<vector<T>, vector<T>, scalar_plus<T, T> > expression_model;
|
|
function_requires< VectorExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_binary_scalar1<T, vector<T>, scalar_multiplies<T, T> > expression_model;
|
|
function_requires< VectorExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_binary_scalar2<vector<T>, scalar_value<T>, scalar_multiplies<T, T> > expression_model;
|
|
function_requires< VectorExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_binary_scalar1<scalar_value<T>, vector<T>, scalar_multiplies<T, T> > expression_model;
|
|
function_requires< VectorExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_binary_scalar2<vector<T>, scalar_value<T>, scalar_multiplies<T, T> > expression_model;
|
|
function_requires< VectorExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
function_requires< ScalarExpressionConcept<vector_scalar_unary<vector<T>, vector_sum<vector<T> > > > >();
|
|
function_requires< ScalarExpressionConcept<vector_scalar_unary<vector<T>, vector_norm_1<vector<T> > > > >();
|
|
function_requires< ScalarExpressionConcept<vector_scalar_unary<vector<T>, vector_norm_2<vector<T> > > > >();
|
|
function_requires< ScalarExpressionConcept<vector_scalar_unary<vector<T>, vector_norm_inf<vector<T> > > > >();
|
|
|
|
function_requires< ScalarExpressionConcept<vector_scalar_binary<vector<T>, vector<T>, vector_inner_prod<vector<T>, vector<T>, T> > > >();
|
|
#endif
|
|
|
|
// Matrix Expressions
|
|
#if defined (INTERNAL_EXPRESSION) || defined (INTERNAL_MATRIX_EXPRESSION)
|
|
{
|
|
typedef matrix_reference<matrix<T> > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< Mutable_MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<expression_model::iterator1, expression_model::iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
function_requires< Mutable_IndexedRandomAccess2DIteratorConcept<expression_model::reverse_iterator1, expression_model::reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef vector_matrix_binary<vector<T>, vector<T>, scalar_multiplies<T, T> > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_unary1<matrix<T>, scalar_identity<T> > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_unary2<matrix<T>, scalar_identity<T> > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_binary<matrix<T>, matrix<T>, scalar_plus<T, T> > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_binary_scalar1<T, matrix<T>, scalar_multiplies<T, T> > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_binary_scalar2<matrix<T>, T, scalar_multiplies<T, T> > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_binary_scalar1<scalar_value<T>, matrix<T>, scalar_multiplies<T, T> > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_binary_scalar2<matrix<T>, scalar_value<T>, scalar_multiplies<T, T> > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_vector_binary1<matrix<T>, vector<T>, matrix_vector_prod1<matrix<T>, vector<T>, T> > expression_model;
|
|
function_requires< VectorExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_vector_binary2<vector<T>, matrix<T>, matrix_vector_prod2<matrix<T>, vector<T>, T > > expression_model;
|
|
function_requires< VectorExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_iterator> >();
|
|
function_requires< IndexedRandomAccess1DIteratorConcept<expression_model::const_reverse_iterator> >();
|
|
}
|
|
|
|
{
|
|
typedef matrix_matrix_binary<matrix<T>, matrix<T>, matrix_matrix_prod<matrix<T>, matrix<T>, T > > expression_model;
|
|
function_requires< MatrixExpressionConcept<expression_model> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_iterator1, expression_model::const_iterator2> >();
|
|
function_requires< IndexedRandomAccess2DIteratorConcept<expression_model::const_reverse_iterator1, expression_model::const_reverse_iterator2> >();
|
|
}
|
|
|
|
function_requires< ScalarExpressionConcept<matrix_scalar_unary<matrix<T>, matrix_norm_1<vector<T> > > > >();
|
|
function_requires< ScalarExpressionConcept<matrix_scalar_unary<matrix<T>, matrix_norm_frobenius<vector<T> > > > >();
|
|
function_requires< ScalarExpressionConcept<matrix_scalar_unary<matrix<T>, matrix_norm_inf<vector<T> > > > >();
|
|
#endif
|
|
|
|
#ifdef EXTERNAL
|
|
function_requires< AdditiveAbelianGroupConcept<T> >();
|
|
function_requires< CommutativeRingWithIdentityConcept<T> >();
|
|
function_requires< FieldConcept<T> >();
|
|
function_requires< VectorSpaceConcept<T, vector<T> > >();
|
|
function_requires< Prod_RingWithIdentityConcept<matrix<T> > >();
|
|
function_requires< VectorSpaceConcept<T, matrix<T> > >();
|
|
function_requires< LinearOperatorConcept<T, vector<T>, matrix<T> > >();
|
|
|
|
function_requires< AdditiveAbelianGroupConcept<std::complex<T> > >();
|
|
function_requires< CommutativeRingWithIdentityConcept<std::complex<T> > >();
|
|
function_requires< FieldConcept<std::complex<T> > >();
|
|
function_requires< VectorSpaceConcept<std::complex<T>, vector<std::complex<T> > > >();
|
|
function_requires< Prod_RingWithIdentityConcept<matrix<std::complex<T> > > >();
|
|
function_requires< VectorSpaceConcept<std::complex<T>, matrix<std::complex<T> > > >();
|
|
function_requires< LinearOperatorConcept<std::complex<T>, vector<std::complex<T> >, matrix<std::complex<T> > > >();
|
|
#endif
|
|
}
|
|
|
|
} // end of anonymous namespace
|
|
|
|
}}}
|
|
|
|
#endif
|