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			2216 lines
		
	
	
		
			83 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| //
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| //  Copyright (c) 2000-2002
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| //  Joerg Walter, Mathias Koch
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| //
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| //  Distributed under the Boost Software License, Version 1.0. (See
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| //  accompanying file LICENSE_1_0.txt or copy at
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| //  http://www.boost.org/LICENSE_1_0.txt)
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| //
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| //  The authors gratefully acknowledge the support of
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| //  GeNeSys mbH & Co. KG in producing this work.
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| //
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| 
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| #ifndef _BOOST_UBLAS_VECTOR_SPARSE_
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| #define _BOOST_UBLAS_VECTOR_SPARSE_
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| 
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| #include <boost/numeric/ublas/storage_sparse.hpp>
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| #include <boost/numeric/ublas/vector_expression.hpp>
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| #include <boost/numeric/ublas/detail/vector_assign.hpp>
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| #if BOOST_UBLAS_TYPE_CHECK
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| #include <boost/numeric/ublas/vector.hpp>
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| #endif
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| 
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| // Iterators based on ideas of Jeremy Siek
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| 
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| namespace boost { namespace numeric { namespace ublas {
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| 
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| #ifdef BOOST_UBLAS_STRICT_VECTOR_SPARSE
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| 
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|     template<class V>
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|     class sparse_vector_element:
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|        public container_reference<V> {
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|     public:
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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_reference;
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|         typedef value_type *pointer;
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| 
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|     private:
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|         // Proxied element operations
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|         void get_d () const {
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|             pointer p = (*this) ().find_element (i_);
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|             if (p)
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|                 d_ = *p;
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|             else
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|                 d_ = value_type/*zero*/();
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|         }
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| 
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|         void set (const value_type &s) const {
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|             pointer p = (*this) ().find_element (i_);
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|             if (!p)
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|                 (*this) ().insert_element (i_, s);
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|             else
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|                 *p = s;
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|         }
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| 
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|     public:
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|         // Construction and destruction
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|         sparse_vector_element (vector_type &v, size_type i):
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|             container_reference<vector_type> (v), i_ (i) {
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|         }
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|         BOOST_UBLAS_INLINE
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|         sparse_vector_element (const sparse_vector_element &p):
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|             container_reference<vector_type> (p), i_ (p.i_) {}
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|         BOOST_UBLAS_INLINE
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|         ~sparse_vector_element () {
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|         }
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| 
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|         // Assignment
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|         BOOST_UBLAS_INLINE
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|         sparse_vector_element &operator = (const sparse_vector_element &p) {
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|             // Overide the implict copy assignment
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|             p.get_d ();
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|             set (p.d_);
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|             return *this;
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|         }
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|         template<class D>
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|         BOOST_UBLAS_INLINE
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|         sparse_vector_element &operator = (const D &d) {
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|             set (d);
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|             return *this;
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|         }
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|         template<class D>
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|         BOOST_UBLAS_INLINE
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|         sparse_vector_element &operator += (const D &d) {
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|             get_d ();
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|             d_ += d;
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|             set (d_);
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|             return *this;
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|         }
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|         template<class D>
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|         BOOST_UBLAS_INLINE
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|         sparse_vector_element &operator -= (const D &d) {
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|             get_d ();
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|             d_ -= d;
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|             set (d_);
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|             return *this;
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|         }
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|         template<class D>
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|         BOOST_UBLAS_INLINE
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|         sparse_vector_element &operator *= (const D &d) {
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|             get_d ();
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|             d_ *= d;
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|             set (d_);
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|             return *this;
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|         }
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|         template<class D>
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|         BOOST_UBLAS_INLINE
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|         sparse_vector_element &operator /= (const D &d) {
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|             get_d ();
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|             d_ /= d;
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|             set (d_);
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|             return *this;
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|         }
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| 
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|         // Comparison
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|         template<class D>
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|         BOOST_UBLAS_INLINE
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|         bool operator == (const D &d) const {
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|             get_d ();
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|             return d_ == d;
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|         }
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|         template<class D>
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|         BOOST_UBLAS_INLINE
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|         bool operator != (const D &d) const {
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|             get_d ();
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|             return d_ != d;
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|         }
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| 
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|         // Conversion - weak link in proxy as d_ is not a perfect alias for the element
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|         BOOST_UBLAS_INLINE
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|         operator const_reference () const {
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|             get_d ();
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|             return d_;
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|         }
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| 
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|         // Conversion to reference - may be invalidated
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|         BOOST_UBLAS_INLINE
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|         value_type& ref () const {
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|             const pointer p = (*this) ().find_element (i_);
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|             if (!p)
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|                 return (*this) ().insert_element (i_, value_type/*zero*/());
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|             else
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|                 return *p;
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|         }
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| 
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|     private:
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|         size_type i_;
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|         mutable value_type d_;
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|     };
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| 
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|     /*
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|      * Generalise explicit reference access
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|      */
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|     namespace detail {
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|         template <class R>
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|         struct element_reference {
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|             typedef R& reference;
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|             static reference get_reference (reference r)
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|             {
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|                 return r;
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|             }
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|         };
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|         template <class V>
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|         struct element_reference<sparse_vector_element<V> > {
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|             typedef typename V::value_type& reference;
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|             static reference get_reference (const sparse_vector_element<V>& sve)
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|             {
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|                 return sve.ref ();
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|             }
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|         };
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|     }
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|     template <class VER>
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|     typename detail::element_reference<VER>::reference ref (VER& ver) {
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|         return detail::element_reference<VER>::get_reference (ver);
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|     }
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|     template <class VER>
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|     typename detail::element_reference<VER>::reference ref (const VER& ver) {
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|         return detail::element_reference<VER>::get_reference (ver);
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|     }
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| 
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| 
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|     template<class V>
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|     struct type_traits<sparse_vector_element<V> > {
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|         typedef typename V::value_type element_type;
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|         typedef type_traits<sparse_vector_element<V> > self_type;
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|         typedef typename type_traits<element_type>::value_type value_type;
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|         typedef typename type_traits<element_type>::const_reference const_reference;
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|         typedef sparse_vector_element<V> reference;
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|         typedef typename type_traits<element_type>::real_type real_type;
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|         typedef typename type_traits<element_type>::precision_type precision_type;
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| 
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|         static const unsigned plus_complexity = type_traits<element_type>::plus_complexity;
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|         static const unsigned multiplies_complexity = type_traits<element_type>::multiplies_complexity;
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| 
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|         static
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|         BOOST_UBLAS_INLINE
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|         real_type real (const_reference t) {
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|             return type_traits<element_type>::real (t);
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|         }
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|         static
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|         BOOST_UBLAS_INLINE
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|         real_type imag (const_reference t) {
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|             return type_traits<element_type>::imag (t);
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|         }
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|         static
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|         BOOST_UBLAS_INLINE
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|         value_type conj (const_reference t) {
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|             return type_traits<element_type>::conj (t);
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|         }
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| 
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|         static
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|         BOOST_UBLAS_INLINE
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|         real_type type_abs (const_reference t) {
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|             return type_traits<element_type>::type_abs (t);
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|         }
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|         static
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|         BOOST_UBLAS_INLINE
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|         value_type type_sqrt (const_reference t) {
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|             return type_traits<element_type>::type_sqrt (t);
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|         }
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| 
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|         static
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|         BOOST_UBLAS_INLINE
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|         real_type norm_1 (const_reference t) {
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|             return type_traits<element_type>::norm_1 (t);
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|         }
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|         static
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|         BOOST_UBLAS_INLINE
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|         real_type norm_2 (const_reference t) {
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|             return type_traits<element_type>::norm_2 (t);
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|         }
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|         static
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|         BOOST_UBLAS_INLINE
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|         real_type norm_inf (const_reference t) {
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|             return type_traits<element_type>::norm_inf (t);
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|         }
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| 
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|         static
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|         BOOST_UBLAS_INLINE
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|         bool equals (const_reference t1, const_reference t2) {
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|             return type_traits<element_type>::equals (t1, t2);
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|         }
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|     };
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| 
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|     template<class V1, class T2>
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|     struct promote_traits<sparse_vector_element<V1>, T2> {
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|         typedef typename promote_traits<typename sparse_vector_element<V1>::value_type, T2>::promote_type promote_type;
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|     };
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|     template<class T1, class V2>
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|     struct promote_traits<T1, sparse_vector_element<V2> > {
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|         typedef typename promote_traits<T1, typename sparse_vector_element<V2>::value_type>::promote_type promote_type;
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|     };
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|     template<class V1, class V2>
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|     struct promote_traits<sparse_vector_element<V1>, sparse_vector_element<V2> > {
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|         typedef typename promote_traits<typename sparse_vector_element<V1>::value_type,
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|                                         typename sparse_vector_element<V2>::value_type>::promote_type promote_type;
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|     };
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| 
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| #endif
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| 
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| 
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|     /** \brief Index map based sparse vector
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|      *
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|      * A sparse vector of values of type T of variable size. The sparse storage type A can be 
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|      * \c std::map<size_t, T> or \c map_array<size_t, T>. This means that only non-zero elements
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|      * are effectively stored.
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|      *
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|      * For a \f$n\f$-dimensional sparse vector,  and 0 <= i < n the non-zero elements \f$v_i\f$ 
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|      * are mapped to consecutive elements of the associative container, i.e. for elements 
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|      * \f$k = v_{i_1}\f$ and \f$k + 1 = v_{i_2}\f$ of the container, holds \f$i_1 < i_2\f$.
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|      *
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|      * Supported parameters for the adapted array are \c map_array<std::size_t, T> and 
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|      * \c map_std<std::size_t, T>. The latter is equivalent to \c std::map<std::size_t, T>.
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|      *
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|      * \tparam T the type of object stored in the vector (like double, float, complex, etc...)
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|      * \tparam A the type of Storage array
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|      */
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|     template<class T, class A>
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|     class mapped_vector:
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|         public vector_container<mapped_vector<T, A> > {
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| 
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|         typedef T &true_reference;
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|         typedef T *pointer;
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|         typedef const T *const_pointer;
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|         typedef mapped_vector<T, A> self_type;
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|     public:
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| #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
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|         using vector_container<self_type>::operator ();
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| #endif
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|         typedef typename A::size_type size_type;
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|         typedef typename A::difference_type difference_type;
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|         typedef T value_type;
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|         typedef A array_type;
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|         typedef const value_type &const_reference;
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| #ifndef BOOST_UBLAS_STRICT_VECTOR_SPARSE
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|         typedef typename detail::map_traits<A,T>::reference reference;
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| #else
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|         typedef sparse_vector_element<self_type> reference;
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| #endif
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|         typedef const vector_reference<const self_type> const_closure_type;
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|         typedef vector_reference<self_type> closure_type;
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|         typedef self_type vector_temporary_type;
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|         typedef sparse_tag storage_category;
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| 
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|         // Construction and destruction
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|         BOOST_UBLAS_INLINE
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|         mapped_vector ():
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|             vector_container<self_type> (),
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|             size_ (0), data_ () {}
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|         BOOST_UBLAS_INLINE
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|         mapped_vector (size_type size, size_type non_zeros = 0):
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|             vector_container<self_type> (),
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|             size_ (size), data_ () {
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|             detail::map_reserve (data(), restrict_capacity (non_zeros));
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|         }
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|         BOOST_UBLAS_INLINE
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|         mapped_vector (const mapped_vector &v):
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|             vector_container<self_type> (),
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|             size_ (v.size_), data_ (v.data_) {}
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|         template<class AE>
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|         BOOST_UBLAS_INLINE
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|         mapped_vector (const vector_expression<AE> &ae, size_type non_zeros = 0):
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|             vector_container<self_type> (),
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|             size_ (ae ().size ()), data_ () {
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|             detail::map_reserve (data(), restrict_capacity (non_zeros));
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|             vector_assign<scalar_assign> (*this, ae);
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|         }
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| 
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|         // Accessors
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|         BOOST_UBLAS_INLINE
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|         size_type size () const {
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|             return size_;
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|         }
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|         BOOST_UBLAS_INLINE
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|         size_type nnz_capacity () const {
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|             return detail::map_capacity (data ());
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|         }
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|         BOOST_UBLAS_INLINE
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|         size_type nnz () const {
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|             return data (). size ();
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|         }
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| 
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|         // Storage accessors
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|         BOOST_UBLAS_INLINE
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|         const array_type &data () const {
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|             return data_;
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|         }
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|         BOOST_UBLAS_INLINE
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|         array_type &data () {
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|             return data_;
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|         }
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| 
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|         // Resizing
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|     private:
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|         BOOST_UBLAS_INLINE
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|         size_type restrict_capacity (size_type non_zeros) const {
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|             non_zeros = (std::min) (non_zeros, size_);
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|             return non_zeros;
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|         }
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|     public:
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|         BOOST_UBLAS_INLINE
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|         void resize (size_type size, bool preserve = true) {
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|             size_ = size;
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|             if (preserve) {
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|                 data ().erase (data ().lower_bound(size_), data ().end());
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|             }
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|             else {
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|                 data ().clear ();
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|             }
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|         }
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| 
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|         // Reserving
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|         BOOST_UBLAS_INLINE
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|         void reserve (size_type non_zeros = 0, bool preserve = true) {
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|             detail::map_reserve (data (), restrict_capacity (non_zeros));
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|         }
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| 
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|         // Element support
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|         BOOST_UBLAS_INLINE
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|         pointer find_element (size_type i) {
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|             return const_cast<pointer> (const_cast<const self_type&>(*this).find_element (i));
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|         }
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|         BOOST_UBLAS_INLINE
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|         const_pointer find_element (size_type i) const {
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|             const_subiterator_type it (data ().find (i));
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|             if (it == data ().end ())
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|                 return 0;
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|             BOOST_UBLAS_CHECK ((*it).first == i, internal_logic ());   // broken map
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|             return &(*it).second;
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|         }
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| 
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|         // Element access
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|         BOOST_UBLAS_INLINE
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|         const_reference operator () (size_type i) const {
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|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
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|             const_subiterator_type it (data ().find (i));
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|             if (it == data ().end ())
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|                 return zero_;
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|             BOOST_UBLAS_CHECK ((*it).first == i, internal_logic ());   // broken map
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|             return (*it).second;
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|         }
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|         BOOST_UBLAS_INLINE
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|         true_reference ref (size_type i) {
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|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
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|             std::pair<subiterator_type, bool> ii (data ().insert (typename array_type::value_type (i, value_type/*zero*/())));
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|             BOOST_UBLAS_CHECK ((ii.first)->first == i, internal_logic ());   // broken map
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|             return (ii.first)->second;
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|         }
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|         BOOST_UBLAS_INLINE
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|         reference operator () (size_type i) {
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| #ifndef BOOST_UBLAS_STRICT_VECTOR_SPARSE
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|             return ref (i);
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| #else
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|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
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|             return reference (*this, i);
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| #endif
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|         }
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| 
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|         BOOST_UBLAS_INLINE
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|         const_reference operator [] (size_type i) const {
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|             return (*this) (i);
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|         }
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|         BOOST_UBLAS_INLINE
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|         reference operator [] (size_type i) {
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|             return (*this) (i);
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|         }
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| 
 | |
|         // Element assignment
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|         BOOST_UBLAS_INLINE
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|         true_reference insert_element (size_type i, const_reference t) {
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|             std::pair<subiterator_type, bool> ii = data ().insert (typename array_type::value_type (i, t));
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|             BOOST_UBLAS_CHECK (ii.second, bad_index ());        // duplicate element
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|             BOOST_UBLAS_CHECK ((ii.first)->first == i, internal_logic ());   // broken map
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|             if (!ii.second)     // existing element
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|                 (ii.first)->second = t;
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|             return (ii.first)->second;
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|         }
 | |
|         BOOST_UBLAS_INLINE
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|         void erase_element (size_type i) {
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|             subiterator_type it = data ().find (i);
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|             if (it == data ().end ())
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|                 return;
 | |
|             data ().erase (it);
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|         }
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| 
 | |
|         // Zeroing
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|         BOOST_UBLAS_INLINE
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|         void clear () {
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|             data ().clear ();
 | |
|         }
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| 
 | |
|         // Assignment
 | |
|         BOOST_UBLAS_INLINE
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|         mapped_vector &operator = (const mapped_vector &v) {
 | |
|             if (this != &v) {
 | |
|                 size_ = v.size_;
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|                 data () = v.data ();
 | |
|             }
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|             return *this;
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|         }
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|         template<class C>          // Container assignment without temporary
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &operator = (const vector_container<C> &v) {
 | |
|             resize (v ().size (), false);
 | |
|             assign (v);
 | |
|             return *this;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &assign_temporary (mapped_vector &v) {
 | |
|             swap (v);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &operator = (const vector_expression<AE> &ae) {
 | |
|             self_type temporary (ae, detail::map_capacity (data()));
 | |
|             return assign_temporary (temporary);
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
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|         mapped_vector &assign (const vector_expression<AE> &ae) {
 | |
|             vector_assign<scalar_assign> (*this, ae);
 | |
|             return *this;
 | |
|         }
 | |
| 
 | |
|         // Computed assignment
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &operator += (const vector_expression<AE> &ae) {
 | |
|             self_type temporary (*this + ae, detail::map_capacity (data()));
 | |
|             return assign_temporary (temporary);
 | |
|         }
 | |
|         template<class C>          // Container assignment without temporary
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &operator += (const vector_container<C> &v) {
 | |
|             plus_assign (v);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &plus_assign (const vector_expression<AE> &ae) {
 | |
|             vector_assign<scalar_plus_assign> (*this, ae);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &operator -= (const vector_expression<AE> &ae) {
 | |
|             self_type temporary (*this - ae, detail::map_capacity (data()));
 | |
|             return assign_temporary (temporary);
 | |
|         }
 | |
|         template<class C>          // Container assignment without temporary
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &operator -= (const vector_container<C> &v) {
 | |
|             minus_assign (v);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &minus_assign (const vector_expression<AE> &ae) {
 | |
|             vector_assign<scalar_minus_assign> (*this, ae);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AT>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &operator *= (const AT &at) {
 | |
|             vector_assign_scalar<scalar_multiplies_assign> (*this, at);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AT>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         mapped_vector &operator /= (const AT &at) {
 | |
|             vector_assign_scalar<scalar_divides_assign> (*this, at);
 | |
|             return *this;
 | |
|         }
 | |
| 
 | |
|         // Swapping
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void swap (mapped_vector &v) {
 | |
|             if (this != &v) {
 | |
|                 std::swap (size_, v.size_);
 | |
|                 data ().swap (v.data ());
 | |
|             }
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         friend void swap (mapped_vector &v1, mapped_vector &v2) {
 | |
|             v1.swap (v2);
 | |
|         }
 | |
| 
 | |
|         // Iterator types
 | |
|     private:
 | |
|         // Use storage iterator
 | |
|         typedef typename A::const_iterator const_subiterator_type;
 | |
|         typedef typename A::iterator subiterator_type;
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         true_reference at_element (size_type i) {
 | |
|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
 | |
|             subiterator_type it (data ().find (i));
 | |
|             BOOST_UBLAS_CHECK (it != data ().end(), bad_index ());
 | |
|             BOOST_UBLAS_CHECK ((*it).first == i, internal_logic ());   // broken map
 | |
|             return it->second;
 | |
|         }
 | |
| 
 | |
|     public:
 | |
|         class const_iterator;
 | |
|         class iterator;
 | |
| 
 | |
|         // Element lookup
 | |
|         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.
 | |
|         const_iterator find (size_type i) const {
 | |
|             return const_iterator (*this, data ().lower_bound (i));
 | |
|         }
 | |
|         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.
 | |
|         iterator find (size_type i) {
 | |
|             return iterator (*this, data ().lower_bound (i));
 | |
|         }
 | |
| 
 | |
| 
 | |
|         class const_iterator:
 | |
|             public container_const_reference<mapped_vector>,
 | |
|             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
 | |
|                                                const_iterator, value_type> {
 | |
|         public:
 | |
|             typedef typename mapped_vector::value_type value_type;
 | |
|             typedef typename mapped_vector::difference_type difference_type;
 | |
|             typedef typename mapped_vector::const_reference reference;
 | |
|             typedef const typename mapped_vector::pointer pointer;
 | |
| 
 | |
|             // Construction and destruction
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator ():
 | |
|                 container_const_reference<self_type> (), it_ () {}
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator (const self_type &v, const const_subiterator_type &it):
 | |
|                 container_const_reference<self_type> (v), it_ (it) {}
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator (const typename self_type::iterator &it):  // ISSUE self_type:: stops VC8 using std::iterator here
 | |
|                 container_const_reference<self_type> (it ()), it_ (it.it_) {}
 | |
| 
 | |
|             // Arithmetic
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator &operator ++ () {
 | |
|                 ++ it_;
 | |
|                 return *this;
 | |
|             }
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator &operator -- () {
 | |
|                 -- it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Dereference
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_reference operator * () const {
 | |
|                 BOOST_UBLAS_CHECK (index () < (*this) ().size (), bad_index ());
 | |
|                 return (*it_).second;
 | |
|             }
 | |
| 
 | |
|             // Index
 | |
|             BOOST_UBLAS_INLINE
 | |
|             size_type index () const {
 | |
|                 BOOST_UBLAS_CHECK (*this != (*this) ().end (), bad_index ());
 | |
|                 BOOST_UBLAS_CHECK ((*it_).first < (*this) ().size (), bad_index ());
 | |
|                 return (*it_).first;
 | |
|             }
 | |
| 
 | |
|             // Assignment
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator &operator = (const const_iterator &it) {
 | |
|                 container_const_reference<self_type>::assign (&it ());
 | |
|                 it_ = it.it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Comparison
 | |
|             BOOST_UBLAS_INLINE
 | |
|             bool operator == (const const_iterator &it) const {
 | |
|                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
 | |
|                 return it_ == it.it_;
 | |
|             }
 | |
| 
 | |
|         private:
 | |
|             const_subiterator_type it_;
 | |
|         };
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator begin () const {
 | |
|             return const_iterator (*this, data ().begin ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator cbegin () const {
 | |
|             return begin ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator end () const {
 | |
|             return const_iterator (*this, data ().end ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator cend () const {
 | |
|             return end ();
 | |
|         }
 | |
| 
 | |
|         class iterator:
 | |
|             public container_reference<mapped_vector>,
 | |
|             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
 | |
|                                                iterator, value_type> {
 | |
|         public:
 | |
|             typedef typename mapped_vector::value_type value_type;
 | |
|             typedef typename mapped_vector::difference_type difference_type;
 | |
|             typedef typename mapped_vector::true_reference reference;
 | |
|             typedef typename mapped_vector::pointer pointer;
 | |
| 
 | |
|             // Construction and destruction
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator ():
 | |
|                 container_reference<self_type> (), it_ () {}
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator (self_type &v, const subiterator_type &it):
 | |
|                 container_reference<self_type> (v), it_ (it) {}
 | |
| 
 | |
|             // Arithmetic
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator &operator ++ () {
 | |
|                 ++ it_;
 | |
|                 return *this;
 | |
|             }
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator &operator -- () {
 | |
|                 -- it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Dereference
 | |
|             BOOST_UBLAS_INLINE
 | |
|             reference operator * () const {
 | |
|                 BOOST_UBLAS_CHECK (index () < (*this) ().size (), bad_index ());
 | |
|                 return (*it_).second;
 | |
|             }
 | |
| 
 | |
|             // Index
 | |
|             BOOST_UBLAS_INLINE
 | |
|             size_type index () const {
 | |
|                 BOOST_UBLAS_CHECK (*this != (*this) ().end (), bad_index ());
 | |
|                 BOOST_UBLAS_CHECK ((*it_).first < (*this) ().size (), bad_index ());
 | |
|                 return (*it_).first;
 | |
|             }
 | |
| 
 | |
|             // Assignment
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator &operator = (const iterator &it) {
 | |
|                 container_reference<self_type>::assign (&it ());
 | |
|                 it_ = it.it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Comparison
 | |
|             BOOST_UBLAS_INLINE
 | |
|             bool operator == (const iterator &it) const {
 | |
|                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
 | |
|                 return it_ == it.it_;
 | |
|             }
 | |
| 
 | |
|         private:
 | |
|             subiterator_type it_;
 | |
| 
 | |
|             friend class const_iterator;
 | |
|         };
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         iterator begin () {
 | |
|             return iterator (*this, data ().begin ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         iterator end () {
 | |
|             return iterator (*this, data ().end ());
 | |
|         }
 | |
| 
 | |
|         // Reverse iterator
 | |
|         typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
 | |
|         typedef reverse_iterator_base<iterator> reverse_iterator;
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator rbegin () const {
 | |
|             return const_reverse_iterator (end ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator crbegin () const {
 | |
|             return rbegin ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator rend () const {
 | |
|             return const_reverse_iterator (begin ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator crend () const {
 | |
|             return rend ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reverse_iterator rbegin () {
 | |
|             return reverse_iterator (end ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reverse_iterator rend () {
 | |
|             return reverse_iterator (begin ());
 | |
|         }
 | |
| 
 | |
|          // Serialization
 | |
|         template<class Archive>
 | |
|         void serialize(Archive & ar, const unsigned int /* file_version */){
 | |
|             serialization::collection_size_type s (size_);
 | |
|             ar & serialization::make_nvp("size",s);
 | |
|             if (Archive::is_loading::value) {
 | |
|                 size_ = s;
 | |
|             }
 | |
|             ar & serialization::make_nvp("data", data_);
 | |
|         }
 | |
| 
 | |
|     private:
 | |
|         size_type size_;
 | |
|         array_type data_;
 | |
|         static const value_type zero_;
 | |
|     };
 | |
| 
 | |
|     template<class T, class A>
 | |
|     const typename mapped_vector<T, A>::value_type mapped_vector<T, A>::zero_ = value_type/*zero*/();
 | |
| 
 | |
| 
 | |
|     // Thanks to Kresimir Fresl for extending this to cover different index bases.
 | |
|     
 | |
|     /** \brief Compressed array based sparse vector
 | |
|      *
 | |
|      * a sparse vector of values of type T of variable size. The non zero values are stored as 
 | |
|      * two seperate arrays: an index array and a value array. The index array is always sorted 
 | |
|      * and there is at most one entry for each index. Inserting an element can be time consuming.
 | |
|      * If the vector contains a few zero entries, then it is better to have a normal vector.
 | |
|      * If the vector has a very high dimension with a few non-zero values, then this vector is
 | |
|      * very memory efficient (at the cost of a few more computations).
 | |
|      *
 | |
|      * For a \f$n\f$-dimensional compressed vector and \f$0 \leq i < n\f$ the non-zero elements 
 | |
|      * \f$v_i\f$ are mapped to consecutive elements of the index and value container, i.e. for 
 | |
|      * elements \f$k = v_{i_1}\f$ and \f$k + 1 = v_{i_2}\f$ of these containers holds \f$i_1 < i_2\f$.
 | |
|      *
 | |
|      * Supported parameters for the adapted array (indices and values) are \c unbounded_array<> ,
 | |
|      * \c bounded_array<> and \c std::vector<>.
 | |
|      *
 | |
|      * \tparam T the type of object stored in the vector (like double, float, complex, etc...)
 | |
|      * \tparam IB the index base of the compressed vector. Default is 0. Other supported value is 1
 | |
|      * \tparam IA the type of adapted array for indices. Default is \c unbounded_array<std::size_t>
 | |
|      * \tparam TA the type of adapted array for values. Default is unbounded_array<T>
 | |
|      */
 | |
|     template<class T, std::size_t IB, class IA, class TA>
 | |
|     class compressed_vector:
 | |
|         public vector_container<compressed_vector<T, IB, IA, TA> > {
 | |
| 
 | |
|         typedef T &true_reference;
 | |
|         typedef T *pointer;
 | |
|         typedef const T *const_pointer;
 | |
|         typedef compressed_vector<T, IB, IA, TA> self_type;
 | |
|     public:
 | |
| #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
 | |
|         using vector_container<self_type>::operator ();
 | |
| #endif
 | |
|         // ISSUE require type consistency check
 | |
|         // is_convertable (IA::size_type, TA::size_type)
 | |
|         typedef typename IA::value_type size_type;
 | |
|         typedef typename IA::difference_type difference_type;
 | |
|         typedef T value_type;
 | |
|         typedef const T &const_reference;
 | |
| #ifndef BOOST_UBLAS_STRICT_VECTOR_SPARSE
 | |
|         typedef T &reference;
 | |
| #else
 | |
|         typedef sparse_vector_element<self_type> reference;
 | |
| #endif
 | |
|         typedef IA index_array_type;
 | |
|         typedef TA value_array_type;
 | |
|         typedef const vector_reference<const self_type> const_closure_type;
 | |
|         typedef vector_reference<self_type> closure_type;
 | |
|         typedef self_type vector_temporary_type;
 | |
|         typedef sparse_tag storage_category;
 | |
| 
 | |
|         // Construction and destruction
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector ():
 | |
|             vector_container<self_type> (),
 | |
|             size_ (0), capacity_ (restrict_capacity (0)), filled_ (0),
 | |
|             index_data_ (capacity_), value_data_ (capacity_) {
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         explicit BOOST_UBLAS_INLINE
 | |
|         compressed_vector (size_type size, size_type non_zeros = 0):
 | |
|             vector_container<self_type> (),
 | |
|             size_ (size), capacity_ (restrict_capacity (non_zeros)), filled_ (0),
 | |
|             index_data_ (capacity_), value_data_ (capacity_) {
 | |
|         storage_invariants ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector (const compressed_vector &v):
 | |
|             vector_container<self_type> (),
 | |
|             size_ (v.size_), capacity_ (v.capacity_), filled_ (v.filled_),
 | |
|             index_data_ (v.index_data_), value_data_ (v.value_data_) {
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector (const vector_expression<AE> &ae, size_type non_zeros = 0):
 | |
|             vector_container<self_type> (),
 | |
|             size_ (ae ().size ()), capacity_ (restrict_capacity (non_zeros)), filled_ (0),
 | |
|             index_data_ (capacity_), value_data_ (capacity_) {
 | |
|             storage_invariants ();
 | |
|             vector_assign<scalar_assign> (*this, ae);
 | |
|         }
 | |
| 
 | |
|         // Accessors
 | |
|         BOOST_UBLAS_INLINE
 | |
|         size_type size () const {
 | |
|             return size_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         size_type nnz_capacity () const {
 | |
|             return capacity_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         size_type nnz () const {
 | |
|             return filled_;
 | |
|         }
 | |
| 
 | |
|         // Storage accessors
 | |
|         BOOST_UBLAS_INLINE
 | |
|         static size_type index_base () {
 | |
|             return IB;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         typename index_array_type::size_type filled () const {
 | |
|             return filled_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const index_array_type &index_data () const {
 | |
|             return index_data_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const value_array_type &value_data () const {
 | |
|             return value_data_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void set_filled (const typename index_array_type::size_type & filled) {
 | |
|             filled_ = filled;
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         index_array_type &index_data () {
 | |
|             return index_data_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         value_array_type &value_data () {
 | |
|             return value_data_;
 | |
|         }
 | |
| 
 | |
|         // Resizing
 | |
|     private:
 | |
|         BOOST_UBLAS_INLINE
 | |
|         size_type restrict_capacity (size_type non_zeros) const {
 | |
|             non_zeros = (std::max) (non_zeros, size_type (1));
 | |
|             non_zeros = (std::min) (non_zeros, size_);
 | |
|             return non_zeros;
 | |
|         }
 | |
|     public:
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void resize (size_type size, bool preserve = true) {
 | |
|             size_ = size;
 | |
|             capacity_ = restrict_capacity (capacity_);
 | |
|             if (preserve) {
 | |
|                 index_data_. resize (capacity_, size_type ());
 | |
|                 value_data_. resize (capacity_, value_type ());
 | |
|                 filled_ = (std::min) (capacity_, filled_);
 | |
|                 while ((filled_ > 0) && (zero_based(index_data_[filled_ - 1]) >= size)) {
 | |
|                     --filled_;
 | |
|                 }
 | |
|             }
 | |
|             else {
 | |
|                 index_data_. resize (capacity_);
 | |
|                 value_data_. resize (capacity_);
 | |
|                 filled_ = 0;
 | |
|             }
 | |
|             storage_invariants ();
 | |
|         }
 | |
| 
 | |
|         // Reserving
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void reserve (size_type non_zeros, bool preserve = true) {
 | |
|             capacity_ = restrict_capacity (non_zeros);
 | |
|             if (preserve) {
 | |
|                 index_data_. resize (capacity_, size_type ());
 | |
|                 value_data_. resize (capacity_, value_type ());
 | |
|                 filled_ = (std::min) (capacity_, filled_);
 | |
|             }
 | |
|             else {
 | |
|                 index_data_. resize (capacity_);
 | |
|                 value_data_. resize (capacity_);
 | |
|                 filled_ = 0;
 | |
|             }
 | |
|             storage_invariants ();
 | |
|         }
 | |
| 
 | |
|         // Element support
 | |
|         BOOST_UBLAS_INLINE
 | |
|         pointer find_element (size_type i) {
 | |
|             return const_cast<pointer> (const_cast<const self_type&>(*this).find_element (i));
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_pointer find_element (size_type i) const {
 | |
|             const_subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             if (it == index_data_.begin () + filled_ || *it != k_based (i))
 | |
|                 return 0;
 | |
|             return &value_data_ [it - index_data_.begin ()];
 | |
|         }
 | |
| 
 | |
|         // Element access
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reference operator () (size_type i) const {
 | |
|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
 | |
|             const_subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             if (it == index_data_.begin () + filled_ || *it != k_based (i))
 | |
|                 return zero_;
 | |
|             return value_data_ [it - index_data_.begin ()];
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         true_reference ref (size_type i) {
 | |
|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
 | |
|             subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             if (it == index_data_.begin () + filled_ || *it != k_based (i))
 | |
|                 return insert_element (i, value_type/*zero*/());
 | |
|             else
 | |
|                 return value_data_ [it - index_data_.begin ()];
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reference operator () (size_type i) {
 | |
| #ifndef BOOST_UBLAS_STRICT_VECTOR_SPARSE
 | |
|             return ref (i) ;
 | |
| #else
 | |
|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
 | |
|             return reference (*this, i);
 | |
| #endif
 | |
|         }
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reference operator [] (size_type i) const {
 | |
|             return (*this) (i);
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reference operator [] (size_type i) {
 | |
|             return (*this) (i);
 | |
|         }
 | |
| 
 | |
|         // Element assignment
 | |
|         BOOST_UBLAS_INLINE
 | |
|         true_reference insert_element (size_type i, const_reference t) {
 | |
|             BOOST_UBLAS_CHECK (!find_element (i), bad_index ());        // duplicate element
 | |
|             if (filled_ >= capacity_)
 | |
|                 reserve (2 * capacity_, true);
 | |
|             subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             // ISSUE max_capacity limit due to difference_type
 | |
|             typename std::iterator_traits<subiterator_type>::difference_type n = it - index_data_.begin ();
 | |
|             BOOST_UBLAS_CHECK (filled_ == 0 || filled_ == typename index_array_type::size_type (n) || *it != k_based (i), internal_logic ());   // duplicate found by lower_bound
 | |
|             ++ filled_;
 | |
|             it = index_data_.begin () + n;
 | |
|             std::copy_backward (it, index_data_.begin () + filled_ - 1, index_data_.begin () + filled_);
 | |
|             *it = k_based (i);
 | |
|             typename value_array_type::iterator itt (value_data_.begin () + n);
 | |
|             std::copy_backward (itt, value_data_.begin () + filled_ - 1, value_data_.begin () + filled_);
 | |
|             *itt = t;
 | |
|             storage_invariants ();
 | |
|             return *itt;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void erase_element (size_type i) {
 | |
|             subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             typename std::iterator_traits<subiterator_type>::difference_type  n = it - index_data_.begin ();
 | |
|             if (filled_ > typename index_array_type::size_type (n) && *it == k_based (i)) {
 | |
|                 std::copy (it + 1, index_data_.begin () + filled_, it);
 | |
|                 typename value_array_type::iterator itt (value_data_.begin () + n);
 | |
|                 std::copy (itt + 1, value_data_.begin () + filled_, itt);
 | |
|                 -- filled_;
 | |
|             }
 | |
|             storage_invariants ();
 | |
|         }
 | |
| 
 | |
|         // Zeroing
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void clear () {
 | |
|             filled_ = 0;
 | |
|             storage_invariants ();
 | |
|         }
 | |
| 
 | |
|         // Assignment
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &operator = (const compressed_vector &v) {
 | |
|             if (this != &v) {
 | |
|                 size_ = v.size_;
 | |
|                 capacity_ = v.capacity_;
 | |
|                 filled_ = v.filled_;
 | |
|                 index_data_ = v.index_data_;
 | |
|                 value_data_ = v.value_data_;
 | |
|             }
 | |
|             storage_invariants ();
 | |
|             return *this;
 | |
|         }
 | |
|         template<class C>          // Container assignment without temporary
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &operator = (const vector_container<C> &v) {
 | |
|             resize (v ().size (), false);
 | |
|             assign (v);
 | |
|             return *this;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &assign_temporary (compressed_vector &v) {
 | |
|             swap (v);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &operator = (const vector_expression<AE> &ae) {
 | |
|             self_type temporary (ae, capacity_);
 | |
|             return assign_temporary (temporary);
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &assign (const vector_expression<AE> &ae) {
 | |
|             vector_assign<scalar_assign> (*this, ae);
 | |
|             return *this;
 | |
|         }
 | |
| 
 | |
|         // Computed assignment
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &operator += (const vector_expression<AE> &ae) {
 | |
|             self_type temporary (*this + ae, capacity_);
 | |
|             return assign_temporary (temporary);
 | |
|         }
 | |
|         template<class C>          // Container assignment without temporary
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &operator += (const vector_container<C> &v) {
 | |
|             plus_assign (v);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &plus_assign (const vector_expression<AE> &ae) {
 | |
|             vector_assign<scalar_plus_assign> (*this, ae);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &operator -= (const vector_expression<AE> &ae) {
 | |
|             self_type temporary (*this - ae, capacity_);
 | |
|             return assign_temporary (temporary);
 | |
|         }
 | |
|         template<class C>          // Container assignment without temporary
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &operator -= (const vector_container<C> &v) {
 | |
|             minus_assign (v);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &minus_assign (const vector_expression<AE> &ae) {
 | |
|             vector_assign<scalar_minus_assign> (*this, ae);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AT>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &operator *= (const AT &at) {
 | |
|             vector_assign_scalar<scalar_multiplies_assign> (*this, at);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AT>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         compressed_vector &operator /= (const AT &at) {
 | |
|             vector_assign_scalar<scalar_divides_assign> (*this, at);
 | |
|             return *this;
 | |
|         }
 | |
| 
 | |
|         // Swapping
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void swap (compressed_vector &v) {
 | |
|             if (this != &v) {
 | |
|                 std::swap (size_, v.size_);
 | |
|                 std::swap (capacity_, v.capacity_);
 | |
|                 std::swap (filled_, v.filled_);
 | |
|                 index_data_.swap (v.index_data_);
 | |
|                 value_data_.swap (v.value_data_);
 | |
|             }
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         friend void swap (compressed_vector &v1, compressed_vector &v2) {
 | |
|             v1.swap (v2);
 | |
|         }
 | |
| 
 | |
|         // Back element insertion and erasure
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void push_back (size_type i, const_reference t) {
 | |
|             BOOST_UBLAS_CHECK (filled_ == 0 || index_data_ [filled_ - 1] < k_based (i), external_logic ());
 | |
|             if (filled_ >= capacity_)
 | |
|                 reserve (2 * capacity_, true);
 | |
|             BOOST_UBLAS_CHECK (filled_ < capacity_, internal_logic ());
 | |
|             index_data_ [filled_] = k_based (i);
 | |
|             value_data_ [filled_] = t;
 | |
|             ++ filled_;
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void pop_back () {
 | |
|             BOOST_UBLAS_CHECK (filled_ > 0, external_logic ());
 | |
|             -- filled_;
 | |
|             storage_invariants ();
 | |
|         }
 | |
| 
 | |
|         // Iterator types
 | |
|     private:
 | |
|         // Use index array iterator
 | |
|         typedef typename IA::const_iterator const_subiterator_type;
 | |
|         typedef typename IA::iterator subiterator_type;
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         true_reference at_element (size_type i) {
 | |
|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
 | |
|             subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             BOOST_UBLAS_CHECK (it != index_data_.begin () + filled_ && *it == k_based (i), bad_index ());
 | |
|             return value_data_ [it - index_data_.begin ()];
 | |
|         }
 | |
| 
 | |
|     public:
 | |
|         class const_iterator;
 | |
|         class iterator;
 | |
| 
 | |
|         // Element lookup
 | |
|         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.
 | |
|         const_iterator find (size_type i) const {
 | |
|             return const_iterator (*this, detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|         }
 | |
|         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.
 | |
|         iterator find (size_type i) {
 | |
|             return iterator (*this, detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|         }
 | |
| 
 | |
| 
 | |
|         class const_iterator:
 | |
|             public container_const_reference<compressed_vector>,
 | |
|             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
 | |
|                                                const_iterator, value_type> {
 | |
|         public:
 | |
|             typedef typename compressed_vector::value_type value_type;
 | |
|             typedef typename compressed_vector::difference_type difference_type;
 | |
|             typedef typename compressed_vector::const_reference reference;
 | |
|             typedef const typename compressed_vector::pointer pointer;
 | |
| 
 | |
|             // Construction and destruction
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator ():
 | |
|                 container_const_reference<self_type> (), it_ () {}
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator (const self_type &v, const const_subiterator_type &it):
 | |
|                 container_const_reference<self_type> (v), it_ (it) {}
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator (const typename self_type::iterator &it):  // ISSUE self_type:: stops VC8 using std::iterator here
 | |
|                 container_const_reference<self_type> (it ()), it_ (it.it_) {}
 | |
| 
 | |
|             // Arithmetic
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator &operator ++ () {
 | |
|                 ++ it_;
 | |
|                 return *this;
 | |
|             }
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator &operator -- () {
 | |
|                 -- it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Dereference
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_reference operator * () const {
 | |
|                 BOOST_UBLAS_CHECK (index () < (*this) ().size (), bad_index ());
 | |
|                 return (*this) ().value_data_ [it_ - (*this) ().index_data_.begin ()];
 | |
|             }
 | |
| 
 | |
|             // Index
 | |
|             BOOST_UBLAS_INLINE
 | |
|             size_type index () const {
 | |
|                 BOOST_UBLAS_CHECK (*this != (*this) ().end (), bad_index ());
 | |
|                 BOOST_UBLAS_CHECK ((*this) ().zero_based (*it_) < (*this) ().size (), bad_index ());
 | |
|                 return (*this) ().zero_based (*it_);
 | |
|             }
 | |
| 
 | |
|             // Assignment
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator &operator = (const const_iterator &it) {
 | |
|                 container_const_reference<self_type>::assign (&it ());
 | |
|                 it_ = it.it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Comparison
 | |
|             BOOST_UBLAS_INLINE
 | |
|             bool operator == (const const_iterator &it) const {
 | |
|                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
 | |
|                 return it_ == it.it_;
 | |
|             }
 | |
| 
 | |
|         private:
 | |
|             const_subiterator_type it_;
 | |
|         };
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator begin () const {
 | |
|             return find (0);
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator cbegin () const {
 | |
|             return begin ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator end () const {
 | |
|             return find (size_);
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator cend () const {
 | |
|             return end ();
 | |
|         }
 | |
| 
 | |
|         class iterator:
 | |
|             public container_reference<compressed_vector>,
 | |
|             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
 | |
|                                                iterator, value_type> {
 | |
|         public:
 | |
|             typedef typename compressed_vector::value_type value_type;
 | |
|             typedef typename compressed_vector::difference_type difference_type;
 | |
|             typedef typename compressed_vector::true_reference reference;
 | |
|             typedef typename compressed_vector::pointer pointer;
 | |
| 
 | |
|             // Construction and destruction
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator ():
 | |
|                 container_reference<self_type> (), it_ () {}
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator (self_type &v, const subiterator_type &it):
 | |
|                 container_reference<self_type> (v), it_ (it) {}
 | |
| 
 | |
|             // Arithmetic
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator &operator ++ () {
 | |
|                 ++ it_;
 | |
|                 return *this;
 | |
|             }
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator &operator -- () {
 | |
|                 -- it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Dereference
 | |
|             BOOST_UBLAS_INLINE
 | |
|             reference operator * () const {
 | |
|                 BOOST_UBLAS_CHECK (index () < (*this) ().size (), bad_index ());
 | |
|                 return (*this) ().value_data_ [it_ - (*this) ().index_data_.begin ()];
 | |
|             }
 | |
| 
 | |
|             // Index
 | |
|             BOOST_UBLAS_INLINE
 | |
|             size_type index () const {
 | |
|                 BOOST_UBLAS_CHECK (*this != (*this) ().end (), bad_index ());
 | |
|                 BOOST_UBLAS_CHECK ((*this) ().zero_based (*it_) < (*this) ().size (), bad_index ());
 | |
|                 return (*this) ().zero_based (*it_);
 | |
|             }
 | |
| 
 | |
|             // Assignment
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator &operator = (const iterator &it) {
 | |
|                 container_reference<self_type>::assign (&it ());
 | |
|                 it_ = it.it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Comparison
 | |
|             BOOST_UBLAS_INLINE
 | |
|             bool operator == (const iterator &it) const {
 | |
|                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
 | |
|                 return it_ == it.it_;
 | |
|             }
 | |
| 
 | |
|         private:
 | |
|             subiterator_type it_;
 | |
| 
 | |
|             friend class const_iterator;
 | |
|         };
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         iterator begin () {
 | |
|             return find (0);
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         iterator end () {
 | |
|             return find (size_);
 | |
|         }
 | |
| 
 | |
|         // Reverse iterator
 | |
|         typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
 | |
|         typedef reverse_iterator_base<iterator> reverse_iterator;
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator rbegin () const {
 | |
|             return const_reverse_iterator (end ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator crbegin () const {
 | |
|             return rbegin ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator rend () const {
 | |
|             return const_reverse_iterator (begin ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator crend () const {
 | |
|             return rend ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reverse_iterator rbegin () {
 | |
|             return reverse_iterator (end ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reverse_iterator rend () {
 | |
|             return reverse_iterator (begin ());
 | |
|         }
 | |
| 
 | |
|          // Serialization
 | |
|         template<class Archive>
 | |
|         void serialize(Archive & ar, const unsigned int /* file_version */){
 | |
|             serialization::collection_size_type s (size_);
 | |
|             ar & serialization::make_nvp("size",s);
 | |
|             if (Archive::is_loading::value) {
 | |
|                 size_ = s;
 | |
|             }
 | |
|             // ISSUE: filled may be much less than capacity
 | |
|             // ISSUE: index_data_ and value_data_ are undefined between filled and capacity (trouble with 'nan'-values)
 | |
|             ar & serialization::make_nvp("capacity", capacity_);
 | |
|             ar & serialization::make_nvp("filled", filled_);
 | |
|             ar & serialization::make_nvp("index_data", index_data_);
 | |
|             ar & serialization::make_nvp("value_data", value_data_);
 | |
|             storage_invariants();
 | |
|         }
 | |
| 
 | |
|     private:
 | |
|         void storage_invariants () const
 | |
|         {
 | |
|             BOOST_UBLAS_CHECK (capacity_ == index_data_.size (), internal_logic ());
 | |
|             BOOST_UBLAS_CHECK (capacity_ == value_data_.size (), internal_logic ());
 | |
|             BOOST_UBLAS_CHECK (filled_ <= capacity_, internal_logic ());
 | |
|             BOOST_UBLAS_CHECK ((0 == filled_) || (zero_based(index_data_[filled_ - 1]) < size_), internal_logic ());
 | |
|         }
 | |
| 
 | |
|         size_type size_;
 | |
|         typename index_array_type::size_type capacity_;
 | |
|         typename index_array_type::size_type filled_;
 | |
|         index_array_type index_data_;
 | |
|         value_array_type value_data_;
 | |
|         static const value_type zero_;
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         static size_type zero_based (size_type k_based_index) {
 | |
|             return k_based_index - IB;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         static size_type k_based (size_type zero_based_index) {
 | |
|             return zero_based_index + IB;
 | |
|         }
 | |
| 
 | |
|         friend class iterator;
 | |
|         friend class const_iterator;
 | |
|     };
 | |
| 
 | |
|     template<class T, std::size_t IB, class IA, class TA>
 | |
|     const typename compressed_vector<T, IB, IA, TA>::value_type compressed_vector<T, IB, IA, TA>::zero_ = value_type/*zero*/();
 | |
| 
 | |
|     // Thanks to Kresimir Fresl for extending this to cover different index bases.
 | |
| 
 | |
|     /** \brief Coordimate array based sparse vector
 | |
|      *
 | |
|      * a sparse vector of values of type \c T of variable size. The non zero values are stored 
 | |
|      * as two seperate arrays: an index array and a value array. The arrays may be out of order 
 | |
|      * with multiple entries for each vector element. If there are multiple values for the same 
 | |
|      * index the sum of these values is the real value. It is way more efficient for inserting values
 | |
|      * than a \c compressed_vector but less memory efficient. Also linearly parsing a vector can 
 | |
|      * be longer in specific cases than a \c compressed_vector.
 | |
|      *
 | |
|      * For a n-dimensional sorted coordinate vector and \f$ 0 \leq i < n\f$ the non-zero elements 
 | |
|      * \f$v_i\f$ are mapped to consecutive elements of the index and value container, i.e. for 
 | |
|      * elements \f$k = v_{i_1}\f$ and \f$k + 1 = v_{i_2}\f$ of these containers holds \f$i_1 < i_2\f$.
 | |
|      *
 | |
|      * Supported parameters for the adapted array (indices and values) are \c unbounded_array<> ,
 | |
|      * \c bounded_array<> and \c std::vector<>.
 | |
|      *
 | |
|      * \tparam T the type of object stored in the vector (like double, float, complex, etc...)
 | |
|      * \tparam IB the index base of the compressed vector. Default is 0. Other supported value is 1
 | |
|      * \tparam IA the type of adapted array for indices. Default is \c unbounded_array<std::size_t>
 | |
|      * \tparam TA the type of adapted array for values. Default is unbounded_array<T>
 | |
|      */
 | |
|     template<class T, std::size_t IB, class IA, class TA>
 | |
|     class coordinate_vector:
 | |
|         public vector_container<coordinate_vector<T, IB, IA, TA> > {
 | |
| 
 | |
|         typedef T &true_reference;
 | |
|         typedef T *pointer;
 | |
|         typedef const T *const_pointer;
 | |
|         typedef coordinate_vector<T, IB, IA, TA> self_type;
 | |
|     public:
 | |
| #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
 | |
|         using vector_container<self_type>::operator ();
 | |
| #endif
 | |
|         // ISSUE require type consistency check
 | |
|         // is_convertable (IA::size_type, TA::size_type)
 | |
|         typedef typename IA::value_type size_type;
 | |
|         typedef typename IA::difference_type difference_type;
 | |
|         typedef T value_type;
 | |
|         typedef const T &const_reference;
 | |
| #ifndef BOOST_UBLAS_STRICT_VECTOR_SPARSE
 | |
|         typedef T &reference;
 | |
| #else
 | |
|         typedef sparse_vector_element<self_type> reference;
 | |
| #endif
 | |
|         typedef IA index_array_type;
 | |
|         typedef TA value_array_type;
 | |
|         typedef const vector_reference<const self_type> const_closure_type;
 | |
|         typedef vector_reference<self_type> closure_type;
 | |
|         typedef self_type vector_temporary_type;
 | |
|         typedef sparse_tag storage_category;
 | |
| 
 | |
|         // Construction and destruction
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector ():
 | |
|             vector_container<self_type> (),
 | |
|             size_ (0), capacity_ (restrict_capacity (0)),
 | |
|             filled_ (0), sorted_filled_ (filled_), sorted_ (true),
 | |
|             index_data_ (capacity_), value_data_ (capacity_) {
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         explicit BOOST_UBLAS_INLINE
 | |
|         coordinate_vector (size_type size, size_type non_zeros = 0):
 | |
|             vector_container<self_type> (),
 | |
|             size_ (size), capacity_ (restrict_capacity (non_zeros)),
 | |
|             filled_ (0), sorted_filled_ (filled_), sorted_ (true),
 | |
|             index_data_ (capacity_), value_data_ (capacity_) {
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector (const coordinate_vector &v):
 | |
|             vector_container<self_type> (),
 | |
|             size_ (v.size_), capacity_ (v.capacity_),
 | |
|             filled_ (v.filled_), sorted_filled_ (v.sorted_filled_), sorted_ (v.sorted_),
 | |
|             index_data_ (v.index_data_), value_data_ (v.value_data_) {
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector (const vector_expression<AE> &ae, size_type non_zeros = 0):
 | |
|             vector_container<self_type> (),
 | |
|             size_ (ae ().size ()), capacity_ (restrict_capacity (non_zeros)),
 | |
|             filled_ (0), sorted_filled_ (filled_), sorted_ (true),
 | |
|             index_data_ (capacity_), value_data_ (capacity_) {
 | |
|             storage_invariants ();
 | |
|             vector_assign<scalar_assign> (*this, ae);
 | |
|         }
 | |
| 
 | |
|         // Accessors
 | |
|         BOOST_UBLAS_INLINE
 | |
|         size_type size () const {
 | |
|             return size_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         size_type nnz_capacity () const {
 | |
|             return capacity_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         size_type nnz () const {
 | |
|             return filled_;
 | |
|         }
 | |
| 
 | |
|         // Storage accessors
 | |
|         BOOST_UBLAS_INLINE
 | |
|         static size_type index_base () {
 | |
|             return IB;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         typename index_array_type::size_type filled () const {
 | |
|             return filled_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const index_array_type &index_data () const {
 | |
|             return index_data_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const value_array_type &value_data () const {
 | |
|             return value_data_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void set_filled (const typename index_array_type::size_type &sorted, const typename index_array_type::size_type &filled) {
 | |
|             sorted_filled_ = sorted;
 | |
|             filled_ = filled;
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         index_array_type &index_data () {
 | |
|             return index_data_;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         value_array_type &value_data () {
 | |
|             return value_data_;
 | |
|         }
 | |
| 
 | |
|         // Resizing
 | |
|     private:
 | |
|         BOOST_UBLAS_INLINE
 | |
|         size_type restrict_capacity (size_type non_zeros) const {
 | |
|              // minimum non_zeros
 | |
|              non_zeros = (std::max) (non_zeros, size_type (1));
 | |
|              // ISSUE no maximum as coordinate may contain inserted duplicates
 | |
|              return non_zeros;
 | |
|         }
 | |
|     public:
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void resize (size_type size, bool preserve = true) {
 | |
|             if (preserve)
 | |
|                 sort ();    // remove duplicate elements.
 | |
|             size_ = size;
 | |
|             capacity_ = restrict_capacity (capacity_);
 | |
|             if (preserve) {
 | |
|                 index_data_. resize (capacity_, size_type ());
 | |
|                 value_data_. resize (capacity_, value_type ());
 | |
|                 filled_ = (std::min) (capacity_, filled_);
 | |
|                 while ((filled_ > 0) && (zero_based(index_data_[filled_ - 1]) >= size)) {
 | |
|                     --filled_;
 | |
|                 }
 | |
|             }
 | |
|             else {
 | |
|                 index_data_. resize (capacity_);
 | |
|                 value_data_. resize (capacity_);
 | |
|                 filled_ = 0;
 | |
|             }
 | |
|             sorted_filled_ = filled_;
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         // Reserving
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void reserve (size_type non_zeros, bool preserve = true) {
 | |
|             if (preserve)
 | |
|                 sort ();    // remove duplicate elements.
 | |
|             capacity_ = restrict_capacity (non_zeros);
 | |
|             if (preserve) {
 | |
|                 index_data_. resize (capacity_, size_type ());
 | |
|                 value_data_. resize (capacity_, value_type ());
 | |
|                 filled_ = (std::min) (capacity_, filled_);
 | |
|                 }
 | |
|             else {
 | |
|                 index_data_. resize (capacity_);
 | |
|                 value_data_. resize (capacity_);
 | |
|                 filled_ = 0;
 | |
|             }
 | |
|             sorted_filled_ = filled_;
 | |
|             storage_invariants ();
 | |
|         }
 | |
| 
 | |
|         // Element support
 | |
|         BOOST_UBLAS_INLINE
 | |
|         pointer find_element (size_type i) {
 | |
|             return const_cast<pointer> (const_cast<const self_type&>(*this).find_element (i));
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_pointer find_element (size_type i) const {
 | |
|             sort ();
 | |
|             const_subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             if (it == index_data_.begin () + filled_ || *it != k_based (i))
 | |
|                 return 0;
 | |
|             return &value_data_ [it - index_data_.begin ()];
 | |
|         }
 | |
| 
 | |
|         // Element access
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reference operator () (size_type i) const {
 | |
|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
 | |
|             sort ();
 | |
|             const_subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             if (it == index_data_.begin () + filled_ || *it != k_based (i))
 | |
|                 return zero_;
 | |
|             return value_data_ [it - index_data_.begin ()];
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         true_reference ref (size_type i) {
 | |
|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
 | |
|             sort ();
 | |
|             subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             if (it == index_data_.begin () + filled_ || *it != k_based (i))
 | |
|                 return insert_element (i, value_type/*zero*/());
 | |
|             else
 | |
|                 return value_data_ [it - index_data_.begin ()];
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reference operator () (size_type i) {
 | |
| #ifndef BOOST_UBLAS_STRICT_VECTOR_SPARSE
 | |
|             return ref (i);
 | |
| #else
 | |
|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
 | |
|             return reference (*this, i);
 | |
| #endif
 | |
|         }
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reference operator [] (size_type i) const {
 | |
|             return (*this) (i);
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reference operator [] (size_type i) {
 | |
|             return (*this) (i);
 | |
|         }
 | |
| 
 | |
|         // Element assignment
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void append_element (size_type i, const_reference t) {
 | |
|             if (filled_ >= capacity_)
 | |
|                 reserve (2 * filled_, true);
 | |
|             BOOST_UBLAS_CHECK (filled_ < capacity_, internal_logic ());
 | |
|             index_data_ [filled_] = k_based (i);
 | |
|             value_data_ [filled_] = t;
 | |
|             ++ filled_;
 | |
|             sorted_ = false;
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         true_reference insert_element (size_type i, const_reference t) {
 | |
|             BOOST_UBLAS_CHECK (!find_element (i), bad_index ());        // duplicate element
 | |
|             append_element (i, t);
 | |
|             return value_data_ [filled_ - 1];
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void erase_element (size_type i) {
 | |
|             sort ();
 | |
|             subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             typename std::iterator_traits<subiterator_type>::difference_type n = it - index_data_.begin ();
 | |
|             if (filled_ > typename index_array_type::size_type (n) && *it == k_based (i)) {
 | |
|                 std::copy (it + 1, index_data_.begin () + filled_, it);
 | |
|                 typename value_array_type::iterator itt (value_data_.begin () + n);
 | |
|                 std::copy (itt + 1, value_data_.begin () + filled_, itt);
 | |
|                 -- filled_;
 | |
|                 sorted_filled_ = filled_;
 | |
|             }
 | |
|             storage_invariants ();
 | |
|         }
 | |
| 
 | |
|         // Zeroing
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void clear () {
 | |
|             filled_ = 0;
 | |
|             sorted_filled_ = filled_;
 | |
|             sorted_ = true;
 | |
|             storage_invariants ();
 | |
|         }
 | |
| 
 | |
|         // Assignment
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &operator = (const coordinate_vector &v) {
 | |
|             if (this != &v) {
 | |
|                 size_ = v.size_;
 | |
|                 capacity_ = v.capacity_;
 | |
|                 filled_ = v.filled_;
 | |
|                 sorted_filled_ = v.sorted_filled_;
 | |
|                 sorted_ = v.sorted_;
 | |
|                 index_data_ = v.index_data_;
 | |
|                 value_data_ = v.value_data_;
 | |
|             }
 | |
|             storage_invariants ();
 | |
|             return *this;
 | |
|         }
 | |
|         template<class C>          // Container assignment without temporary
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &operator = (const vector_container<C> &v) {
 | |
|             resize (v ().size (), false);
 | |
|             assign (v);
 | |
|             return *this;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &assign_temporary (coordinate_vector &v) {
 | |
|             swap (v);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &operator = (const vector_expression<AE> &ae) {
 | |
|             self_type temporary (ae, capacity_);
 | |
|             return assign_temporary (temporary);
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &assign (const vector_expression<AE> &ae) {
 | |
|             vector_assign<scalar_assign> (*this, ae);
 | |
|             return *this;
 | |
|         }
 | |
| 
 | |
|         // Computed assignment
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &operator += (const vector_expression<AE> &ae) {
 | |
|             self_type temporary (*this + ae, capacity_);
 | |
|             return assign_temporary (temporary);
 | |
|         }
 | |
|         template<class C>          // Container assignment without temporary
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &operator += (const vector_container<C> &v) {
 | |
|             plus_assign (v);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &plus_assign (const vector_expression<AE> &ae) {
 | |
|             vector_assign<scalar_plus_assign> (*this, ae);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &operator -= (const vector_expression<AE> &ae) {
 | |
|             self_type temporary (*this - ae, capacity_);
 | |
|             return assign_temporary (temporary);
 | |
|         }
 | |
|         template<class C>          // Container assignment without temporary
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &operator -= (const vector_container<C> &v) {
 | |
|             minus_assign (v);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AE>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &minus_assign (const vector_expression<AE> &ae) {
 | |
|             vector_assign<scalar_minus_assign> (*this, ae);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AT>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &operator *= (const AT &at) {
 | |
|             vector_assign_scalar<scalar_multiplies_assign> (*this, at);
 | |
|             return *this;
 | |
|         }
 | |
|         template<class AT>
 | |
|         BOOST_UBLAS_INLINE
 | |
|         coordinate_vector &operator /= (const AT &at) {
 | |
|             vector_assign_scalar<scalar_divides_assign> (*this, at);
 | |
|             return *this;
 | |
|         }
 | |
| 
 | |
|         // Swapping
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void swap (coordinate_vector &v) {
 | |
|             if (this != &v) {
 | |
|                 std::swap (size_, v.size_);
 | |
|                 std::swap (capacity_, v.capacity_);
 | |
|                 std::swap (filled_, v.filled_);
 | |
|                 std::swap (sorted_filled_, v.sorted_filled_);
 | |
|                 std::swap (sorted_, v.sorted_);
 | |
|                 index_data_.swap (v.index_data_);
 | |
|                 value_data_.swap (v.value_data_);
 | |
|             }
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         friend void swap (coordinate_vector &v1, coordinate_vector &v2) {
 | |
|             v1.swap (v2);
 | |
|         }
 | |
| 
 | |
|         // replacement if STL lower bound algorithm for use of inplace_merge
 | |
|         size_type lower_bound (size_type beg, size_type end, size_type target) const {
 | |
|             while (end > beg) {
 | |
|                 size_type mid = (beg + end) / 2;
 | |
|                 if (index_data_[mid] < index_data_[target]) {
 | |
|                     beg = mid + 1;
 | |
|                 } else {
 | |
|                     end = mid;
 | |
|                 }
 | |
|             }
 | |
|             return beg;
 | |
|         }
 | |
| 
 | |
|         // specialized replacement of STL inplace_merge to avoid compilation
 | |
|         // problems with respect to the array_triple iterator
 | |
|         void inplace_merge (size_type beg, size_type mid, size_type end) const {
 | |
|             size_type len_lef = mid - beg;
 | |
|             size_type len_rig = end - mid;
 | |
| 
 | |
|             if (len_lef == 1 && len_rig == 1) {
 | |
|                 if (index_data_[mid] < index_data_[beg]) {
 | |
|                     std::swap(index_data_[beg], index_data_[mid]);
 | |
|                     std::swap(value_data_[beg], value_data_[mid]);
 | |
|                 }
 | |
|             } else if (len_lef > 0 && len_rig > 0) {
 | |
|                 size_type lef_mid, rig_mid;
 | |
|                 if (len_lef >= len_rig) {
 | |
|                     lef_mid = (beg + mid) / 2;
 | |
|                     rig_mid = lower_bound(mid, end, lef_mid);
 | |
|                 } else {
 | |
|                     rig_mid = (mid + end) / 2;
 | |
|                     lef_mid = lower_bound(beg, mid, rig_mid);
 | |
|                 }
 | |
|                 std::rotate(&index_data_[0] + lef_mid, &index_data_[0] + mid, &index_data_[0] + rig_mid);
 | |
|                 std::rotate(&value_data_[0] + lef_mid, &value_data_[0] + mid, &value_data_[0] + rig_mid);
 | |
| 
 | |
|                 size_type new_mid = lef_mid + rig_mid - mid;
 | |
|                 inplace_merge(beg, lef_mid, new_mid);
 | |
|                 inplace_merge(new_mid, rig_mid, end);
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         // Sorting and summation of duplicates
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void sort () const {
 | |
|             if (! sorted_ && filled_ > 0) {
 | |
|                 typedef index_pair_array<index_array_type, value_array_type> array_pair;
 | |
|                 array_pair ipa (filled_, index_data_, value_data_);
 | |
| #ifndef BOOST_UBLAS_COO_ALWAYS_DO_FULL_SORT
 | |
|                 const typename array_pair::iterator iunsorted = ipa.begin () + sorted_filled_;
 | |
|                 // sort new elements and merge
 | |
|                 std::sort (iunsorted, ipa.end ());
 | |
|                 inplace_merge(0, sorted_filled_, filled_);
 | |
| #else
 | |
|                 const typename array_pair::iterator iunsorted = ipa.begin ();
 | |
|                 std::sort (iunsorted, ipa.end ());
 | |
| #endif
 | |
| 
 | |
|                 // sum duplicates with += and remove
 | |
|                 size_type filled = 0;
 | |
|                 for (size_type i = 1; i < filled_; ++ i) {
 | |
|                     if (index_data_ [filled] != index_data_ [i]) {
 | |
|                         ++ filled;
 | |
|                         if (filled != i) {
 | |
|                             index_data_ [filled] = index_data_ [i];
 | |
|                             value_data_ [filled] = value_data_ [i];
 | |
|                         }
 | |
|                     } else {
 | |
|                         value_data_ [filled] += value_data_ [i];
 | |
|                     }
 | |
|                 }
 | |
|                 filled_ = filled + 1;
 | |
|                 sorted_filled_ = filled_;
 | |
|                 sorted_ = true;
 | |
|                 storage_invariants ();
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         // Back element insertion and erasure
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void push_back (size_type i, const_reference t) {
 | |
|             // must maintain sort order
 | |
|             BOOST_UBLAS_CHECK (sorted_ && (filled_ == 0 || index_data_ [filled_ - 1] < k_based (i)), external_logic ());
 | |
|             if (filled_ >= capacity_)
 | |
|                 reserve (2 * filled_, true);
 | |
|             BOOST_UBLAS_CHECK (filled_ < capacity_, internal_logic ());
 | |
|             index_data_ [filled_] = k_based (i);
 | |
|             value_data_ [filled_] = t;
 | |
|             ++ filled_;
 | |
|             sorted_filled_ = filled_;
 | |
|             storage_invariants ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         void pop_back () {
 | |
|             // ISSUE invariants could be simpilfied if sorted required as precondition
 | |
|             BOOST_UBLAS_CHECK (filled_ > 0, external_logic ());
 | |
|             -- filled_;
 | |
|             sorted_filled_ = (std::min) (sorted_filled_, filled_);
 | |
|             sorted_ = sorted_filled_ = filled_;
 | |
|             storage_invariants ();
 | |
|         }
 | |
| 
 | |
|         // Iterator types
 | |
|     private:
 | |
|         // Use index array iterator
 | |
|         typedef typename IA::const_iterator const_subiterator_type;
 | |
|         typedef typename IA::iterator subiterator_type;
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         true_reference at_element (size_type i) {
 | |
|             BOOST_UBLAS_CHECK (i < size_, bad_index ());
 | |
|             sort ();
 | |
|             subiterator_type it (detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|             BOOST_UBLAS_CHECK (it != index_data_.begin () + filled_ && *it == k_based (i), bad_index ());
 | |
|             return value_data_ [it - index_data_.begin ()];
 | |
|         }
 | |
| 
 | |
|     public:
 | |
|         class const_iterator;
 | |
|         class iterator;
 | |
| 
 | |
|         // Element lookup
 | |
|         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.
 | |
|         const_iterator find (size_type i) const {
 | |
|             sort ();
 | |
|             return const_iterator (*this, detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|         }
 | |
|         // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it.
 | |
|         iterator find (size_type i) {
 | |
|             sort ();
 | |
|             return iterator (*this, detail::lower_bound (index_data_.begin (), index_data_.begin () + filled_, k_based (i), std::less<size_type> ()));
 | |
|         }
 | |
| 
 | |
| 
 | |
|         class const_iterator:
 | |
|             public container_const_reference<coordinate_vector>,
 | |
|             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
 | |
|                                                const_iterator, value_type> {
 | |
|         public:
 | |
|             typedef typename coordinate_vector::value_type value_type;
 | |
|             typedef typename coordinate_vector::difference_type difference_type;
 | |
|             typedef typename coordinate_vector::const_reference reference;
 | |
|             typedef const typename coordinate_vector::pointer pointer;
 | |
| 
 | |
|             // Construction and destruction
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator ():
 | |
|                 container_const_reference<self_type> (), it_ () {}
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator (const self_type &v, const const_subiterator_type &it):
 | |
|                 container_const_reference<self_type> (v), it_ (it) {}
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator (const typename self_type::iterator &it):  // ISSUE self_type:: stops VC8 using std::iterator here
 | |
|                 container_const_reference<self_type> (it ()), it_ (it.it_) {}
 | |
| 
 | |
|             // Arithmetic
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator &operator ++ () {
 | |
|                 ++ it_;
 | |
|                 return *this;
 | |
|             }
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator &operator -- () {
 | |
|                 -- it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Dereference
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_reference operator * () const {
 | |
|                 BOOST_UBLAS_CHECK (index () < (*this) ().size (), bad_index ());
 | |
|                 return (*this) ().value_data_ [it_ - (*this) ().index_data_.begin ()];
 | |
|             }
 | |
| 
 | |
|             // Index
 | |
|             BOOST_UBLAS_INLINE
 | |
|             size_type index () const {
 | |
|                 BOOST_UBLAS_CHECK (*this != (*this) ().end (), bad_index ());
 | |
|                 BOOST_UBLAS_CHECK ((*this) ().zero_based (*it_) < (*this) ().size (), bad_index ());
 | |
|                 return (*this) ().zero_based (*it_);
 | |
|             }
 | |
| 
 | |
|             // Assignment
 | |
|             BOOST_UBLAS_INLINE
 | |
|             const_iterator &operator = (const const_iterator &it) {
 | |
|                 container_const_reference<self_type>::assign (&it ());
 | |
|                 it_ = it.it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Comparison
 | |
|             BOOST_UBLAS_INLINE
 | |
|             bool operator == (const const_iterator &it) const {
 | |
|                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
 | |
|                 return it_ == it.it_;
 | |
|             }
 | |
| 
 | |
|         private:
 | |
|             const_subiterator_type it_;
 | |
|         };
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator begin () const {
 | |
|             return find (0);
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator cbegin () const {
 | |
|             return begin();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator end () const {
 | |
|             return find (size_);
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_iterator cend () const {
 | |
|             return end();
 | |
|         }
 | |
| 
 | |
|         class iterator:
 | |
|             public container_reference<coordinate_vector>,
 | |
|             public bidirectional_iterator_base<sparse_bidirectional_iterator_tag,
 | |
|                                                iterator, value_type> {
 | |
|         public:
 | |
|             typedef typename coordinate_vector::value_type value_type;
 | |
|             typedef typename coordinate_vector::difference_type difference_type;
 | |
|             typedef typename coordinate_vector::true_reference reference;
 | |
|             typedef typename coordinate_vector::pointer pointer;
 | |
| 
 | |
|             // Construction and destruction
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator ():
 | |
|                 container_reference<self_type> (), it_ () {}
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator (self_type &v, const subiterator_type &it):
 | |
|                 container_reference<self_type> (v), it_ (it) {}
 | |
| 
 | |
|             // Arithmetic
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator &operator ++ () {
 | |
|                 ++ it_;
 | |
|                 return *this;
 | |
|             }
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator &operator -- () {
 | |
|                 -- it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Dereference
 | |
|             BOOST_UBLAS_INLINE
 | |
|             reference operator * () const {
 | |
|                 BOOST_UBLAS_CHECK (index () < (*this) ().size (), bad_index ());
 | |
|                 return (*this) ().value_data_ [it_ - (*this) ().index_data_.begin ()];
 | |
|             }
 | |
| 
 | |
|             // Index
 | |
|             BOOST_UBLAS_INLINE
 | |
|             size_type index () const {
 | |
|                 BOOST_UBLAS_CHECK (*this != (*this) ().end (), bad_index ());
 | |
|                 BOOST_UBLAS_CHECK ((*this) ().zero_based (*it_) < (*this) ().size (), bad_index ());
 | |
|                 return (*this) ().zero_based (*it_);
 | |
|             }
 | |
| 
 | |
|             // Assignment
 | |
|             BOOST_UBLAS_INLINE
 | |
|             iterator &operator = (const iterator &it) {
 | |
|                 container_reference<self_type>::assign (&it ());
 | |
|                 it_ = it.it_;
 | |
|                 return *this;
 | |
|             }
 | |
| 
 | |
|             // Comparison
 | |
|             BOOST_UBLAS_INLINE
 | |
|             bool operator == (const iterator &it) const {
 | |
|                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
 | |
|                 return it_ == it.it_;
 | |
|             }
 | |
| 
 | |
|         private:
 | |
|             subiterator_type it_;
 | |
| 
 | |
|             friend class const_iterator;
 | |
|         };
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         iterator begin () {
 | |
|             return find (0);
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         iterator end () {
 | |
|             return find (size_);
 | |
|         }
 | |
| 
 | |
|         // Reverse iterator
 | |
|         typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
 | |
|         typedef reverse_iterator_base<iterator> reverse_iterator;
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator rbegin () const {
 | |
|             return const_reverse_iterator (end ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator crbegin () const {
 | |
|             return rbegin ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator rend () const {
 | |
|             return const_reverse_iterator (begin ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         const_reverse_iterator crend () const {
 | |
|             return rend ();
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reverse_iterator rbegin () {
 | |
|             return reverse_iterator (end ());
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         reverse_iterator rend () {
 | |
|             return reverse_iterator (begin ());
 | |
|         }
 | |
| 
 | |
|          // Serialization
 | |
|         template<class Archive>
 | |
|         void serialize(Archive & ar, const unsigned int /* file_version */){
 | |
|             serialization::collection_size_type s (size_);
 | |
|             ar & serialization::make_nvp("size",s);
 | |
|             if (Archive::is_loading::value) {
 | |
|                 size_ = s;
 | |
|             }
 | |
|             // ISSUE: filled may be much less than capacity
 | |
|             // ISSUE: index_data_ and value_data_ are undefined between filled and capacity (trouble with 'nan'-values)
 | |
|             ar & serialization::make_nvp("capacity", capacity_);
 | |
|             ar & serialization::make_nvp("filled", filled_);
 | |
|             ar & serialization::make_nvp("sorted_filled", sorted_filled_);
 | |
|             ar & serialization::make_nvp("sorted", sorted_);
 | |
|             ar & serialization::make_nvp("index_data", index_data_);
 | |
|             ar & serialization::make_nvp("value_data", value_data_);
 | |
|             storage_invariants();
 | |
|         }
 | |
| 
 | |
|     private:
 | |
|         void storage_invariants () const
 | |
|         {
 | |
|             BOOST_UBLAS_CHECK (capacity_ == index_data_.size (), internal_logic ());
 | |
|             BOOST_UBLAS_CHECK (capacity_ == value_data_.size (), internal_logic ());
 | |
|             BOOST_UBLAS_CHECK (filled_ <= capacity_, internal_logic ());
 | |
|             BOOST_UBLAS_CHECK (sorted_filled_ <= filled_, internal_logic ());
 | |
|             BOOST_UBLAS_CHECK (sorted_ == (sorted_filled_ == filled_), internal_logic ());
 | |
|             BOOST_UBLAS_CHECK ((0 == filled_) || (zero_based(index_data_[filled_ - 1]) < size_), internal_logic ());
 | |
|         }
 | |
| 
 | |
|         size_type size_;
 | |
|         size_type capacity_;
 | |
|         mutable typename index_array_type::size_type filled_;
 | |
|         mutable typename index_array_type::size_type sorted_filled_;
 | |
|         mutable bool sorted_;
 | |
|         mutable index_array_type index_data_;
 | |
|         mutable value_array_type value_data_;
 | |
|         static const value_type zero_;
 | |
| 
 | |
|         BOOST_UBLAS_INLINE
 | |
|         static size_type zero_based (size_type k_based_index) {
 | |
|             return k_based_index - IB;
 | |
|         }
 | |
|         BOOST_UBLAS_INLINE
 | |
|         static size_type k_based (size_type zero_based_index) {
 | |
|             return zero_based_index + IB;
 | |
|         }
 | |
| 
 | |
|         friend class iterator;
 | |
|         friend class const_iterator;
 | |
|     };
 | |
| 
 | |
|     template<class T, std::size_t IB, class IA, class TA>
 | |
|     const typename coordinate_vector<T, IB, IA, TA>::value_type coordinate_vector<T, IB, IA, TA>::zero_ = value_type/*zero*/();
 | |
| 
 | |
| }}}
 | |
| 
 | |
| #endif
 | 
