// | |
// Copyright (c) 2000-2002 | |
// Joerg Walter, Mathias Koch | |
// | |
// Distributed under the Boost Software License, Version 1.0. (See | |
// accompanying file LICENSE_1_0.txt or copy at | |
// http://www.boost.org/LICENSE_1_0.txt) | |
// | |
// The authors gratefully acknowledge the support of | |
// GeNeSys mbH & Co. KG in producing this work. | |
// | |
#ifndef _BOOST_UBLAS_CONCEPTS_ | |
#define _BOOST_UBLAS_CONCEPTS_ | |
#include <boost/concept_check.hpp> | |
// Concept checks based on ideas of Jeremy Siek | |
namespace boost { namespace numeric { namespace ublas { | |
template<class I> | |
struct Indexed1DIteratorConcept { | |
typedef I iterator_type; | |
void constraints () { | |
iterator_type it = iterator_type (); | |
// Index | |
it.index (); | |
} | |
}; | |
template<class I> | |
struct IndexedBidirectional1DIteratorConcept { | |
typedef I iterator_type; | |
void constraints () { | |
function_requires< BidirectionalIteratorConcept<iterator_type> >(); | |
function_requires< Indexed1DIteratorConcept<iterator_type> >(); | |
} | |
}; | |
template<class I> | |
struct Mutable_IndexedBidirectional1DIteratorConcept { | |
typedef I iterator_type; | |
void constraints () { | |
function_requires< Mutable_BidirectionalIteratorConcept<iterator_type> >(); | |
function_requires< Indexed1DIteratorConcept<iterator_type> >(); | |
} | |
}; | |
template<class I> | |
struct IndexedRandomAccess1DIteratorConcept { | |
typedef I iterator_type; | |
void constraints () { | |
function_requires< RandomAccessIteratorConcept<iterator_type> >(); | |
function_requires< Indexed1DIteratorConcept<iterator_type> >(); | |
} | |
}; | |
template<class I> | |
struct Mutable_IndexedRandomAccess1DIteratorConcept { | |
typedef I iterator_type; | |
void constraints () { | |
function_requires< Mutable_RandomAccessIteratorConcept<iterator_type> >(); | |
function_requires< Indexed1DIteratorConcept<iterator_type> >(); | |
} | |
}; | |
template<class I> | |
struct Indexed2DIteratorConcept { | |
typedef I iterator_type; | |
typedef typename I::dual_iterator_type dual_iterator_type; | |
typedef typename I::dual_reverse_iterator_type dual_reverse_iterator_type; | |
void constraints () { | |
iterator_type it = iterator_type (); | |
// Indices | |
it.index1 (); | |
it.index2 (); | |
// Iterator begin/end | |
dual_iterator_type it_begin (it.begin ()); | |
dual_iterator_type it_end (it.end ()); | |
// Reverse iterator begin/end | |
dual_reverse_iterator_type it_rbegin (it.rbegin ()); | |
dual_reverse_iterator_type it_rend (it.rend ()); | |
ignore_unused_variable_warning (it_begin); | |
ignore_unused_variable_warning (it_end); | |
ignore_unused_variable_warning (it_rbegin); | |
ignore_unused_variable_warning (it_rend); | |
} | |
}; | |
template<class I1, class I2> | |
struct IndexedBidirectional2DIteratorConcept { | |
typedef I1 subiterator1_type; | |
typedef I2 subiterator2_type; | |
void constraints () { | |
function_requires< BidirectionalIteratorConcept<subiterator1_type> >(); | |
function_requires< BidirectionalIteratorConcept<subiterator2_type> >(); | |
function_requires< Indexed2DIteratorConcept<subiterator1_type> >(); | |
function_requires< Indexed2DIteratorConcept<subiterator2_type> >(); | |
} | |
}; | |
template<class I1, class I2> | |
struct Mutable_IndexedBidirectional2DIteratorConcept { | |
typedef I1 subiterator1_type; | |
typedef I2 subiterator2_type; | |
void constraints () { | |
function_requires< Mutable_BidirectionalIteratorConcept<subiterator1_type> >(); | |
function_requires< Mutable_BidirectionalIteratorConcept<subiterator2_type> >(); | |
function_requires< Indexed2DIteratorConcept<subiterator1_type> >(); | |
function_requires< Indexed2DIteratorConcept<subiterator2_type> >(); | |
} | |
}; | |
template<class I1, class I2> | |
struct IndexedRandomAccess2DIteratorConcept { | |
typedef I1 subiterator1_type; | |
typedef I2 subiterator2_type; | |
void constraints () { | |
function_requires< RandomAccessIteratorConcept<subiterator1_type> >(); | |
function_requires< RandomAccessIteratorConcept<subiterator2_type> >(); | |
function_requires< Indexed2DIteratorConcept<subiterator1_type> >(); | |
function_requires< Indexed2DIteratorConcept<subiterator2_type> >(); | |
} | |
}; | |
template<class I1, class I2> | |
struct Mutable_IndexedRandomAccess2DIteratorConcept { | |
typedef I1 subiterator1_type; | |
typedef I2 subiterator2_type; | |
void constraints () { | |
function_requires< Mutable_RandomAccessIteratorConcept<subiterator1_type> >(); | |
function_requires< Mutable_RandomAccessIteratorConcept<subiterator2_type> >(); | |
function_requires< Indexed2DIteratorConcept<subiterator1_type> >(); | |
function_requires< Indexed2DIteratorConcept<subiterator2_type> >(); | |
} | |
}; | |
template<class C> | |
struct StorageArrayConcept { | |
typedef C container_type; | |
typedef typename C::size_type size_type; | |
typedef typename C::value_type value_type; | |
void constraints () { | |
function_requires< RandomAccessContainerConcept<container_type> >(); | |
size_type n (0); | |
// Sizing constructor | |
container_type c = container_type (n); | |
// Initialised sizing constructor | |
container_type (n, value_type (5)); | |
ignore_unused_variable_warning (c); | |
} | |
}; | |
template<class C> | |
struct Mutable_StorageArrayConcept { | |
typedef C container_type; | |
typedef typename C::size_type size_type; | |
typedef typename C::value_type value_type; | |
typedef typename C::iterator iterator_type; | |
void constraints () { | |
function_requires< Mutable_RandomAccessContainerConcept<container_type> > (); | |
size_type n (0); | |
// Sizing constructor | |
container_type c = container_type (n); | |
// Initialised sizing constructor | |
c = container_type (n, value_type (3)); | |
// Resize | |
c.resize (n, value_type (5)); | |
// Resize - none preserving | |
c.resize (n); | |
} | |
}; | |
template<class C> | |
struct StorageSparseConcept { | |
typedef C container_type; | |
typedef typename C::size_type size_type; | |
void constraints () { | |
function_requires< ReversibleContainerConcept<container_type> > (); | |
} | |
}; | |
template<class C> | |
struct Mutable_StorageSparseConcept { | |
typedef C container_type; | |
typedef typename C::size_type size_type; | |
typedef typename C::value_type value_type; | |
typedef typename C::iterator iterator_type; | |
void constraints () { | |
// NOTE - Not Mutable_ReversibleContainerConcept | |
function_requires< ReversibleContainerConcept<container_type> >(); | |
container_type c = container_type (); | |
value_type t = value_type (); | |
iterator_type it = iterator_type (), it1 = iterator_type (), it2 = iterator_type (); | |
// Insert | |
c.insert (it, t); | |
// Erase | |
c.erase (it); | |
// Range erase | |
c.erase (it1, it2); | |
// Clear | |
c.clear (); | |
} | |
}; | |
template<class G> | |
struct IndexSetConcept { | |
typedef G generator_type; | |
typedef typename G::size_type size_type; | |
typedef typename G::value_type value_type; | |
void constraints () { | |
function_requires< AssignableConcept<generator_type> >(); | |
function_requires< ReversibleContainerConcept<generator_type> >(); | |
generator_type g = generator_type (); | |
size_type n (0); | |
value_type t; | |
// Element access | |
t = g (n); | |
ignore_unused_variable_warning (t); | |
} | |
}; | |
/** \brief Scalar expression concept. | |
* | |
* requirements | |
* \li \c SE::value_type is the type of the scalar expression | |
* \li \c SE must be convertable to \c SE::value_type | |
* \li the constant \c SE::complexity must exist | |
* | |
* \param SE the type of the scalar expression | |
*/ | |
template<class SE> | |
struct ScalarExpressionConcept { | |
typedef SE scalar_expression_type; | |
typedef typename SE::value_type value_type; | |
static const unsigned complexity = SE::complexity; | |
void constraints () { | |
scalar_expression_type *sp; | |
scalar_expression_type s = *sp; | |
value_type t; | |
// Conversion | |
t = s; | |
ignore_unused_variable_warning (t); | |
} | |
}; | |
/** \brief Vector expression concept. | |
* | |
* requirements | |
* \li \c VE::value_type is the type of the elements | |
* \li \c VE::const_reference The return type when accessing an element of a constant vector | |
* expression. Must be convertable to a \c value_type. | |
* \li \c VE::size_type is the (unsigned) type of the indices | |
* \li \c VE::difference_type is the (signed) type of distances between indices | |
* \li \c VE::category | |
* | |
* \li the constant \c SE::complexity must exist | |
* | |
* \param SE the type of the scalar expression | |
*/ | |
template<class VE> | |
struct VectorExpressionConcept { | |
typedef VE vector_expression_type; | |
typedef typename VE::type_category type_category; | |
typedef typename VE::size_type size_type; | |
typedef typename VE::difference_type difference_type; | |
typedef typename VE::value_type value_type; | |
typedef typename VE::const_reference const_reference; | |
typedef typename VE::const_iterator const_iterator_type; | |
typedef typename VE::const_reverse_iterator const_reverse_iterator_type; | |
void constraints () { | |
vector_expression_type *vp; | |
const vector_expression_type *cvp; | |
vector_expression_type v = *vp; | |
const vector_expression_type cv = *cvp; | |
size_type n (0), i (0); | |
value_type t; | |
// Find (internal?) | |
const_iterator_type cit (v.find (i)); | |
// Beginning of range | |
const_iterator_type cit_begin (v.begin ()); | |
// End of range | |
const_iterator_type cit_end (v.end ()); | |
// Size | |
n = v.size (); | |
// Beginning of reverse range | |
const_reverse_iterator_type crit_begin (cv.rbegin ()); | |
// End of reverse range | |
const_reverse_iterator_type crit_end (cv.rend ()); | |
// Element access | |
t = v (i); | |
ignore_unused_variable_warning (n); | |
ignore_unused_variable_warning (cit); | |
ignore_unused_variable_warning (cit_begin); | |
ignore_unused_variable_warning (cit_end); | |
ignore_unused_variable_warning (crit_begin); | |
ignore_unused_variable_warning (crit_end); | |
ignore_unused_variable_warning (t); | |
} | |
}; | |
template<class VE> | |
struct Mutable_VectorExpressionConcept { | |
typedef VE vector_expression_type; | |
typedef typename VE::size_type size_type; | |
typedef typename VE::value_type value_type; | |
typedef typename VE::iterator iterator_type; | |
typedef typename VE::reverse_iterator reverse_iterator_type; | |
void constraints () { | |
function_requires< AssignableConcept<vector_expression_type> >(); | |
function_requires< VectorExpressionConcept<vector_expression_type> >(); | |
vector_expression_type *vp; | |
vector_expression_type v = *vp, v1 = *vp, v2 = *vp; | |
size_type i (0); | |
value_type t = value_type (); | |
// Find (internal?) | |
iterator_type it (v.find (i)); | |
// Beginning of range | |
iterator_type it_begin (v.begin ()); | |
// End of range | |
iterator_type it_end (v.end ()); | |
// Swap | |
v1.swap (v2); | |
// Beginning of reverse range | |
reverse_iterator_type rit_begin (v.rbegin ()); | |
// End of reverse range | |
reverse_iterator_type rit_end (v.rend ()); | |
// Assignments | |
v2 = v1; | |
v2.assign (v1); | |
v2 += v1; | |
v2.plus_assign (v1); | |
v2 -= v1; | |
v2.minus_assign (v1); | |
v *= t; | |
ignore_unused_variable_warning (it); | |
ignore_unused_variable_warning (it_begin); | |
ignore_unused_variable_warning (it_end); | |
ignore_unused_variable_warning (rit_begin); | |
ignore_unused_variable_warning (rit_end); | |
} | |
}; | |
template<class ME> | |
struct MatrixExpressionConcept { | |
typedef ME matrix_expression_type; | |
typedef typename ME::type_category type_category; | |
typedef typename ME::size_type size_type; | |
typedef typename ME::value_type value_type; | |
typedef typename ME::const_iterator1 const_subiterator1_type; | |
typedef typename ME::const_iterator2 const_subiterator2_type; | |
typedef typename ME::const_reverse_iterator1 const_reverse_subiterator1_type; | |
typedef typename ME::const_reverse_iterator2 const_reverse_subiterator2_type; | |
void constraints () { | |
matrix_expression_type *mp; | |
const matrix_expression_type *cmp; | |
matrix_expression_type m = *mp; | |
const matrix_expression_type cm = *cmp; | |
size_type n (0), i (0), j (0); | |
value_type t; | |
// Find (internal?) | |
const_subiterator1_type cit1 (m.find1 (0, i, j)); | |
const_subiterator2_type cit2 (m.find2 (0, i, j)); | |
// Beginning of range | |
const_subiterator1_type cit1_begin (m.begin1 ()); | |
const_subiterator2_type cit2_begin (m.begin2 ()); | |
// End of range | |
const_subiterator1_type cit1_end (m.end1 ()); | |
const_subiterator2_type cit2_end (m.end2 ()); | |
// Size | |
n = m.size1 (); | |
n = m.size2 (); | |
// Beginning of reverse range | |
const_reverse_subiterator1_type crit1_begin (cm.rbegin1 ()); | |
const_reverse_subiterator2_type crit2_begin (cm.rbegin2 ()); | |
// End of reverse range | |
const_reverse_subiterator1_type crit1_end (cm.rend1 ()); | |
const_reverse_subiterator2_type crit2_end (cm.rend2 ()); | |
// Element access | |
t = m (i, j); | |
ignore_unused_variable_warning (n); | |
ignore_unused_variable_warning (cit1); | |
ignore_unused_variable_warning (cit2); | |
ignore_unused_variable_warning (cit1_begin); | |
ignore_unused_variable_warning (cit2_begin); | |
ignore_unused_variable_warning (cit1_end); | |
ignore_unused_variable_warning (cit2_end); | |
ignore_unused_variable_warning (crit1_begin); | |
ignore_unused_variable_warning (crit2_begin); | |
ignore_unused_variable_warning (crit1_end); | |
ignore_unused_variable_warning (crit2_end); | |
ignore_unused_variable_warning (t); | |
} | |
}; | |
template<class ME> | |
struct Mutable_MatrixExpressionConcept { | |
typedef ME matrix_expression_type; | |
typedef typename ME::size_type size_type; | |
typedef typename ME::value_type value_type; | |
typedef typename ME::iterator1 subiterator1_type; | |
typedef typename ME::iterator2 subiterator2_type; | |
typedef typename ME::reverse_iterator1 reverse_subiterator1_type; | |
typedef typename ME::reverse_iterator2 reverse_subiterator2_type; | |
void constraints () { | |
function_requires< AssignableConcept<matrix_expression_type> >(); | |
function_requires< MatrixExpressionConcept<matrix_expression_type> >(); | |
matrix_expression_type *mp; | |
matrix_expression_type m = *mp, m1 = *mp, m2 = *mp; | |
size_type i (0), j (0); | |
value_type t = value_type (); | |
// Find (internal?) | |
subiterator1_type it1 (m.find1 (0, i, j)); | |
subiterator2_type it2 (m.find2 (0, i, j)); | |
// Beginning of range | |
subiterator1_type it1_begin (m.begin1 ()); | |
subiterator2_type it2_begin (m.begin2 ()); | |
// End of range | |
subiterator1_type it1_end (m.end1 ()); | |
subiterator2_type it2_end (m.end2 ()); | |
// Swap | |
m1.swap (m2); | |
// Beginning of reverse range | |
reverse_subiterator1_type rit1_begin (m.rbegin1 ()); | |
reverse_subiterator2_type rit2_begin (m.rbegin2 ()); | |
// End of reverse range | |
reverse_subiterator1_type rit1_end (m.rend1 ()); | |
reverse_subiterator2_type rit2_end (m.rend2 ()); | |
// Assignments | |
m2 = m1; | |
m2.assign (m1); | |
m2 += m1; | |
m2.plus_assign (m1); | |
m2 -= m1; | |
m2.minus_assign (m1); | |
m *= t; | |
ignore_unused_variable_warning (it1); | |
ignore_unused_variable_warning (it2); | |
ignore_unused_variable_warning (it1_begin); | |
ignore_unused_variable_warning (it2_begin); | |
ignore_unused_variable_warning (it1_end); | |
ignore_unused_variable_warning (it2_end); | |
ignore_unused_variable_warning (rit1_begin); | |
ignore_unused_variable_warning (rit2_begin); | |
ignore_unused_variable_warning (rit1_end); | |
ignore_unused_variable_warning (rit2_end); | |
} | |
}; | |
template<class V> | |
struct VectorConcept { | |
typedef V vector_type; | |
typedef typename V::size_type size_type; | |
typedef typename V::value_type value_type; | |
typedef const value_type *const_pointer; | |
void constraints () { | |
function_requires< VectorExpressionConcept<vector_type> >(); | |
size_type n (0); | |
size_type i (0); | |
// Sizing constructor | |
vector_type v (n); | |
// Element support | |
const_pointer p = v.find_element (i); | |
ignore_unused_variable_warning (p); | |
} | |
}; | |
template<class V> | |
struct Mutable_VectorConcept { | |
typedef V vector_type; | |
typedef typename V::size_type size_type; | |
typedef typename V::value_type value_type; | |
typedef value_type *pointer; | |
void constraints () { | |
function_requires< VectorConcept<vector_type> >(); | |
function_requires< DefaultConstructible<vector_type> >(); | |
function_requires< Mutable_VectorExpressionConcept<vector_type> >(); | |
size_type n (0); | |
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 { | |
template<class T> | |
T | |
ZeroElement (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); | |
} | |
}; | |
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<float> >(); | |
function_requires< CommutativeRingWithIdentityConcept<float> >(); | |
function_requires< FieldConcept<float> >(); | |
function_requires< VectorSpaceConcept<float, vector<float> > >(); | |
function_requires< Prod_RingWithIdentityConcept<matrix<float> > >(); | |
function_requires< VectorSpaceConcept<float, matrix<float> > >(); | |
function_requires< LinearOperatorConcept<float, vector<float>, matrix<float> > >(); | |
function_requires< AdditiveAbelianGroupConcept<std::complex<float> > >(); | |
function_requires< CommutativeRingWithIdentityConcept<std::complex<float> > >(); | |
function_requires< FieldConcept<std::complex<float> > >(); | |
function_requires< VectorSpaceConcept<std::complex<float>, vector<std::complex<float> > > >(); | |
function_requires< Prod_RingWithIdentityConcept<matrix<std::complex<float> > > >(); | |
function_requires< VectorSpaceConcept<std::complex<float>, matrix<std::complex<float> > > >(); | |
function_requires< LinearOperatorConcept<std::complex<float>, vector<std::complex<float> >, matrix<std::complex<float> > > >(); | |
#endif | |
} | |
} // end of anonymous namespace | |
}}} | |
#endif |