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			507 lines
		
	
	
		
			18 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
|   | //  Copyright (c) 2000-2013 | ||
|  | //  Joerg Walter, Mathias Koch. David Bellot | ||
|  | // | ||
|  | //  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_EXPRESSION_TYPE_ | ||
|  | #define _BOOST_UBLAS_EXPRESSION_TYPE_ | ||
|  | 
 | ||
|  | #include <boost/numeric/ublas/exception.hpp> | ||
|  | #include <boost/numeric/ublas/traits.hpp> | ||
|  | #include <boost/numeric/ublas/functional.hpp> | ||
|  | 
 | ||
|  | 
 | ||
|  | // Expression templates based on ideas of Todd Veldhuizen and Geoffrey Furnish | ||
|  | // Iterators based on ideas of Jeremy Siek | ||
|  | 
 | ||
|  | namespace boost { namespace numeric { namespace ublas { | ||
|  | 
 | ||
|  |     /** \brief Base class for uBLAS statically derived expressions using the the Barton Nackman trick | ||
|  |      * | ||
|  |      * This is a NonAssignable class | ||
|  |      * Directly implement nonassignable - simplifes debugging call trace! | ||
|  |      *  | ||
|  |      * \tparam E an expression type | ||
|  |      */ | ||
|  |     template<class E> | ||
|  |     class ublas_expression { | ||
|  |     public: | ||
|  |         typedef E expression_type; | ||
|  |         /* E can be an incomplete type - to define the following we would need more template arguments | ||
|  |         typedef typename E::type_category type_category; | ||
|  |         typedef typename E::value_type value_type; | ||
|  |         */ | ||
|  |          | ||
|  |     protected: | ||
|  |         ublas_expression () {} | ||
|  |         ~ublas_expression () {} | ||
|  |     private: | ||
|  |         const ublas_expression& operator= (const ublas_expression &); | ||
|  |     }; | ||
|  | 
 | ||
|  | 
 | ||
|  |     /** \brief Base class for Scalar Expression models | ||
|  |      * | ||
|  |      * It does not model the Scalar Expression concept but all derived types should. | ||
|  |      * The class defines a common base type and some common interface for all statically  | ||
|  |      * derived Scalar Expression classes. | ||
|  |      * | ||
|  |      * We implement the casts to the statically derived type. | ||
|  |      * | ||
|  |      * \tparam E an expression type | ||
|  |      */ | ||
|  |     template<class E> | ||
|  |     class scalar_expression: | ||
|  |         public ublas_expression<E> { | ||
|  |     public: | ||
|  |         typedef E expression_type; | ||
|  |         typedef scalar_tag type_category; | ||
|  | 
 | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const expression_type &operator () () const { | ||
|  |             return *static_cast<const expression_type *> (this); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         expression_type &operator () () { | ||
|  |             return *static_cast<expression_type *> (this); | ||
|  |         } | ||
|  |     }; | ||
|  | 
 | ||
|  |     template<class T> | ||
|  |     class scalar_reference: | ||
|  |         public scalar_expression<scalar_reference<T> > { | ||
|  | 
 | ||
|  |         typedef scalar_reference<T> self_type; | ||
|  |     public: | ||
|  |         typedef T value_type; | ||
|  |         typedef const value_type &const_reference; | ||
|  |         typedef typename boost::mpl::if_<boost::is_const<T>, | ||
|  |                                           const_reference, | ||
|  |                                           value_type &>::type reference; | ||
|  |         typedef const self_type const_closure_type; | ||
|  |         typedef const_closure_type closure_type; | ||
|  | 
 | ||
|  |         // Construction and destruction | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         explicit scalar_reference (reference t): | ||
|  |             t_ (t) {} | ||
|  | 
 | ||
|  |         // Conversion | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         operator value_type () const { | ||
|  |             return t_; | ||
|  |         } | ||
|  | 
 | ||
|  |         // Assignment | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         scalar_reference &operator = (const scalar_reference &s) { | ||
|  |             t_ = s.t_; | ||
|  |             return *this; | ||
|  |         } | ||
|  |         template<class AE> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         scalar_reference &operator = (const scalar_expression<AE> &ae) { | ||
|  |             t_ = ae; | ||
|  |             return *this; | ||
|  |         } | ||
|  | 
 | ||
|  |         // Closure comparison | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         bool same_closure (const scalar_reference &sr) const { | ||
|  |             return &t_ == &sr.t_; | ||
|  |         } | ||
|  | 
 | ||
|  |     private: | ||
|  |         reference t_; | ||
|  |     }; | ||
|  | 
 | ||
|  |     template<class T> | ||
|  |     class scalar_value: | ||
|  |         public scalar_expression<scalar_value<T> > { | ||
|  | 
 | ||
|  |         typedef scalar_value<T> self_type; | ||
|  |     public: | ||
|  |         typedef T value_type; | ||
|  |         typedef const value_type &const_reference; | ||
|  |         typedef typename boost::mpl::if_<boost::is_const<T>, | ||
|  |                                           const_reference, | ||
|  |                                           value_type &>::type reference; | ||
|  |         typedef const scalar_reference<const self_type> const_closure_type; | ||
|  |         typedef scalar_reference<self_type> closure_type; | ||
|  | 
 | ||
|  |         // Construction and destruction | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         scalar_value (): | ||
|  |             t_ () {} | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         scalar_value (const value_type &t): | ||
|  |             t_ (t) {} | ||
|  | 
 | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         operator value_type () const { | ||
|  |             return t_; | ||
|  |         } | ||
|  | 
 | ||
|  |         // Assignment | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         scalar_value &operator = (const scalar_value &s) { | ||
|  |             t_ = s.t_; | ||
|  |             return *this; | ||
|  |         } | ||
|  |         template<class AE> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         scalar_value &operator = (const scalar_expression<AE> &ae) { | ||
|  |             t_ = ae; | ||
|  |             return *this; | ||
|  |         } | ||
|  | 
 | ||
|  |         // Closure comparison | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         bool same_closure (const scalar_value &sv) const { | ||
|  |             return this == &sv;    // self closing on instances value | ||
|  |         } | ||
|  | 
 | ||
|  |     private: | ||
|  |         value_type t_; | ||
|  |     }; | ||
|  | 
 | ||
|  | 
 | ||
|  |     /** \brief Base class for Vector Expression models | ||
|  |      * | ||
|  |      * it does not model the Vector Expression concept but all derived types should. | ||
|  |      * The class defines a common base type and some common interface for all | ||
|  |      * statically derived Vector Expression classes. | ||
|  |      * We implement the casts to the statically derived type. | ||
|  |      */ | ||
|  |     template<class E> | ||
|  |     class vector_expression: | ||
|  |         public ublas_expression<E> { | ||
|  |     public: | ||
|  |         static const unsigned complexity = 0; | ||
|  |         typedef E expression_type; | ||
|  |         typedef vector_tag type_category; | ||
|  |         /* E can be an incomplete type - to define the following we would need more template arguments | ||
|  |         typedef typename E::size_type size_type; | ||
|  |         */ | ||
|  |   | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const expression_type &operator () () const { | ||
|  |             return *static_cast<const expression_type *> (this); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         expression_type &operator () () { | ||
|  |             return *static_cast<expression_type *> (this); | ||
|  |         } | ||
|  | 
 | ||
|  | #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS | ||
|  |     private: | ||
|  |         // projection types | ||
|  |         typedef vector_range<E> vector_range_type; | ||
|  |         typedef vector_range<const E> const_vector_range_type; | ||
|  |         typedef vector_slice<E> vector_slice_type; | ||
|  |         typedef vector_slice<const E> const_vector_slice_type; | ||
|  |         // vector_indirect_type will depend on the A template parameter  | ||
|  |         typedef basic_range<> default_range;    // required to avoid range/slice name confusion | ||
|  |         typedef basic_slice<> default_slice; | ||
|  |    public: | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_vector_range_type operator () (const default_range &r) const { | ||
|  |             return const_vector_range_type (operator () (), r); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         vector_range_type operator () (const default_range &r) { | ||
|  |             return vector_range_type (operator () (), r); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_vector_slice_type operator () (const default_slice &s) const { | ||
|  |             return const_vector_slice_type (operator () (), s); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         vector_slice_type operator () (const default_slice &s) { | ||
|  |             return vector_slice_type (operator () (), s); | ||
|  |         } | ||
|  |         template<class A> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const vector_indirect<const E, indirect_array<A> > operator () (const indirect_array<A> &ia) const { | ||
|  |             return vector_indirect<const E, indirect_array<A> >  (operator () (), ia); | ||
|  |         } | ||
|  |         template<class A> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         vector_indirect<E, indirect_array<A> > operator () (const indirect_array<A> &ia) { | ||
|  |             return vector_indirect<E, indirect_array<A> > (operator () (), ia); | ||
|  |         } | ||
|  | 
 | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_vector_range_type project (const default_range &r) const { | ||
|  |             return const_vector_range_type (operator () (), r); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         vector_range_type project (const default_range &r) { | ||
|  |             return vector_range_type (operator () (), r); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_vector_slice_type project (const default_slice &s) const { | ||
|  |             return const_vector_slice_type (operator () (), s); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         vector_slice_type project (const default_slice &s) { | ||
|  |             return vector_slice_type (operator () (), s); | ||
|  |         } | ||
|  |         template<class A> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const vector_indirect<const E, indirect_array<A> > project (const indirect_array<A> &ia) const { | ||
|  |             return vector_indirect<const E, indirect_array<A> > (operator () (), ia); | ||
|  |         } | ||
|  |         template<class A> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         vector_indirect<E, indirect_array<A> > project (const indirect_array<A> &ia) { | ||
|  |             return vector_indirect<E, indirect_array<A> > (operator () (), ia); | ||
|  |         } | ||
|  | #endif | ||
|  |     }; | ||
|  | 
 | ||
|  |     /** \brief Base class for Vector container models | ||
|  |      * | ||
|  |      * it does not model the Vector concept but all derived types should. | ||
|  |      * The class defines a common base type and some common interface for all | ||
|  |      * statically derived Vector classes | ||
|  |      * We implement the casts to the statically derived type. | ||
|  |      */ | ||
|  |     template<class C> | ||
|  |     class vector_container: | ||
|  |         public vector_expression<C> { | ||
|  |     public: | ||
|  |         static const unsigned complexity = 0; | ||
|  |         typedef C container_type; | ||
|  |         typedef vector_tag type_category; | ||
|  |   | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const container_type &operator () () const { | ||
|  |             return *static_cast<const container_type *> (this); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         container_type &operator () () { | ||
|  |             return *static_cast<container_type *> (this); | ||
|  |         } | ||
|  | 
 | ||
|  | #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS | ||
|  |         using vector_expression<C>::operator (); | ||
|  | #endif | ||
|  |     }; | ||
|  | 
 | ||
|  | 
 | ||
|  |     /** \brief Base class for Matrix Expression models | ||
|  |      * | ||
|  |      * it does not model the Matrix Expression concept but all derived types should. | ||
|  |      * The class defines a common base type and some common interface for all | ||
|  |      * statically derived Matrix Expression classes | ||
|  |      * We implement the casts to the statically derived type. | ||
|  |      */ | ||
|  |     template<class E> | ||
|  |     class matrix_expression: | ||
|  |         public ublas_expression<E> { | ||
|  |     private: | ||
|  |         typedef matrix_expression<E> self_type; | ||
|  |     public: | ||
|  |         static const unsigned complexity = 0; | ||
|  |         typedef E expression_type; | ||
|  |         typedef matrix_tag type_category; | ||
|  |         /* E can be an incomplete type - to define the following we would need more template arguments | ||
|  |         typedef typename E::size_type size_type; | ||
|  |         */ | ||
|  | 
 | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const expression_type &operator () () const { | ||
|  |             return *static_cast<const expression_type *> (this); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         expression_type &operator () () { | ||
|  |             return *static_cast<expression_type *> (this); | ||
|  |         } | ||
|  | 
 | ||
|  | #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS | ||
|  |     private: | ||
|  |         // projection types | ||
|  |         typedef vector_range<E> vector_range_type; | ||
|  |         typedef const vector_range<const E> const_vector_range_type; | ||
|  |         typedef vector_slice<E> vector_slice_type; | ||
|  |         typedef const vector_slice<const E> const_vector_slice_type; | ||
|  |         typedef matrix_row<E> matrix_row_type; | ||
|  |         typedef const matrix_row<const E> const_matrix_row_type; | ||
|  |         typedef matrix_column<E> matrix_column_type; | ||
|  |         typedef const  matrix_column<const E> const_matrix_column_type; | ||
|  |         typedef matrix_range<E> matrix_range_type; | ||
|  |         typedef const matrix_range<const E> const_matrix_range_type; | ||
|  |         typedef matrix_slice<E> matrix_slice_type; | ||
|  |         typedef const matrix_slice<const E> const_matrix_slice_type; | ||
|  |         // matrix_indirect_type will depend on the A template parameter  | ||
|  |         typedef basic_range<> default_range;    // required to avoid range/slice name confusion | ||
|  |         typedef basic_slice<> default_slice; | ||
|  | 
 | ||
|  |     public: | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_matrix_row_type operator [] (std::size_t i) const { | ||
|  |             return const_matrix_row_type (operator () (), i); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         matrix_row_type operator [] (std::size_t i) { | ||
|  |             return matrix_row_type (operator () (), i); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_matrix_row_type row (std::size_t i) const { | ||
|  |             return const_matrix_row_type (operator () (), i); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         matrix_row_type row (std::size_t i) { | ||
|  |             return matrix_row_type (operator () (), i); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_matrix_column_type column (std::size_t j) const { | ||
|  |             return const_matrix_column_type (operator () (), j); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         matrix_column_type column (std::size_t j) { | ||
|  |             return matrix_column_type (operator () (), j); | ||
|  |         } | ||
|  | 
 | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_matrix_range_type operator () (const default_range &r1, const default_range &r2) const { | ||
|  |             return const_matrix_range_type (operator () (), r1, r2); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         matrix_range_type operator () (const default_range &r1, const default_range &r2) { | ||
|  |             return matrix_range_type (operator () (), r1, r2); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_matrix_slice_type operator () (const default_slice &s1, const default_slice &s2) const { | ||
|  |             return const_matrix_slice_type (operator () (), s1, s2); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         matrix_slice_type operator () (const default_slice &s1, const default_slice &s2) { | ||
|  |             return matrix_slice_type (operator () (), s1, s2); | ||
|  |         } | ||
|  |         template<class A> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const matrix_indirect<const E, indirect_array<A> > operator () (const indirect_array<A> &ia1, const indirect_array<A> &ia2) const { | ||
|  |             return matrix_indirect<const E, indirect_array<A> > (operator () (), ia1, ia2); | ||
|  |         } | ||
|  |         template<class A> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         matrix_indirect<E, indirect_array<A> > operator () (const indirect_array<A> &ia1, const indirect_array<A> &ia2) { | ||
|  |             return matrix_indirect<E, indirect_array<A> > (operator () (), ia1, ia2); | ||
|  |         } | ||
|  | 
 | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_matrix_range_type project (const default_range &r1, const default_range &r2) const { | ||
|  |             return const_matrix_range_type (operator () (), r1, r2); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         matrix_range_type project (const default_range &r1, const default_range &r2) { | ||
|  |             return matrix_range_type (operator () (), r1, r2); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const_matrix_slice_type project (const default_slice &s1, const default_slice &s2) const { | ||
|  |             return const_matrix_slice_type (operator () (), s1, s2); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         matrix_slice_type project (const default_slice &s1, const default_slice &s2) { | ||
|  |             return matrix_slice_type (operator () (), s1, s2); | ||
|  |         } | ||
|  |         template<class A> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const matrix_indirect<const E, indirect_array<A> > project (const indirect_array<A> &ia1, const indirect_array<A> &ia2) const { | ||
|  |             return matrix_indirect<const E, indirect_array<A> > (operator () (), ia1, ia2); | ||
|  |         } | ||
|  |         template<class A> | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         matrix_indirect<E, indirect_array<A> > project (const indirect_array<A> &ia1, const indirect_array<A> &ia2) { | ||
|  |             return matrix_indirect<E, indirect_array<A> > (operator () (), ia1, ia2); | ||
|  |         } | ||
|  | #endif | ||
|  |     }; | ||
|  | 
 | ||
|  | #ifdef BOOST_UBLAS_NO_NESTED_CLASS_RELATION | ||
|  |     struct iterator1_tag {}; | ||
|  |     struct iterator2_tag {}; | ||
|  | 
 | ||
|  |     template<class I> | ||
|  |     BOOST_UBLAS_INLINE | ||
|  |     typename I::dual_iterator_type begin (const I &it, iterator1_tag) { | ||
|  |         return it ().find2 (1, it.index1 (), 0); | ||
|  |     } | ||
|  |     template<class I> | ||
|  |     BOOST_UBLAS_INLINE | ||
|  |     typename I::dual_iterator_type end (const I &it, iterator1_tag) { | ||
|  |         return it ().find2 (1, it.index1 (), it ().size2 ()); | ||
|  |     } | ||
|  |     template<class I> | ||
|  |     BOOST_UBLAS_INLINE | ||
|  |     typename I::dual_reverse_iterator_type rbegin (const I &it, iterator1_tag) { | ||
|  |         return typename I::dual_reverse_iterator_type (end (it, iterator1_tag ())); | ||
|  |     } | ||
|  |     template<class I> | ||
|  |     BOOST_UBLAS_INLINE | ||
|  |     typename I::dual_reverse_iterator_type rend (const I &it, iterator1_tag) { | ||
|  |         return typename I::dual_reverse_iterator_type (begin (it, iterator1_tag ())); | ||
|  |     } | ||
|  | 
 | ||
|  |     template<class I> | ||
|  |     BOOST_UBLAS_INLINE | ||
|  |     typename I::dual_iterator_type begin (const I &it, iterator2_tag) { | ||
|  |         return it ().find1 (1, 0, it.index2 ()); | ||
|  |     } | ||
|  |     template<class I> | ||
|  |     BOOST_UBLAS_INLINE | ||
|  |     typename I::dual_iterator_type end (const I &it, iterator2_tag) { | ||
|  |         return it ().find1 (1, it ().size1 (), it.index2 ()); | ||
|  |     } | ||
|  |     template<class I> | ||
|  |     BOOST_UBLAS_INLINE | ||
|  |     typename I::dual_reverse_iterator_type rbegin (const I &it, iterator2_tag) { | ||
|  |         return typename I::dual_reverse_iterator_type (end (it, iterator2_tag ())); | ||
|  |     } | ||
|  |     template<class I> | ||
|  |     BOOST_UBLAS_INLINE | ||
|  |     typename I::dual_reverse_iterator_type rend (const I &it, iterator2_tag) { | ||
|  |         return typename I::dual_reverse_iterator_type (begin (it, iterator2_tag ())); | ||
|  |     } | ||
|  | #endif | ||
|  | 
 | ||
|  |     /** \brief Base class for Matrix container models | ||
|  |      * | ||
|  |      * it does not model the Matrix concept but all derived types should. | ||
|  |      * The class defines a common base type and some common interface for all | ||
|  |      * statically derived Matrix classes | ||
|  |      * We implement the casts to the statically derived type. | ||
|  |      */ | ||
|  |     template<class C> | ||
|  |     class matrix_container: | ||
|  |         public matrix_expression<C> { | ||
|  |     public: | ||
|  |         static const unsigned complexity = 0; | ||
|  |         typedef C container_type; | ||
|  |         typedef matrix_tag type_category; | ||
|  | 
 | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         const container_type &operator () () const { | ||
|  |             return *static_cast<const container_type *> (this); | ||
|  |         } | ||
|  |         BOOST_UBLAS_INLINE | ||
|  |         container_type &operator () () { | ||
|  |             return *static_cast<container_type *> (this); | ||
|  |         } | ||
|  | 
 | ||
|  | #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS | ||
|  |         using matrix_expression<C>::operator (); | ||
|  | #endif | ||
|  |     }; | ||
|  | 
 | ||
|  | }}} | ||
|  | 
 | ||
|  | #endif |