| 1 | //
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| 2 | // Copyright (c) 2009
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| 3 | // Gunter Winkler
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| 4 | //
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| 5 | // Distributed under the Boost Software License, Version 1.0. (See
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| 6 | // accompanying file LICENSE_1_0.txt or copy at
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| 7 | // http://www.boost.org/LICENSE_1_0.txt)
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| 8 | //
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| 9 | //
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| 10 |
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| 11 | #ifndef _BOOST_UBLAS_SPARSE_VIEW_
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| 12 | #define _BOOST_UBLAS_SPARSE_VIEW_
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| 13 |
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| 14 | #include <boost/numeric/ublas/matrix_expression.hpp>
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| 15 | #include <boost/numeric/ublas/detail/matrix_assign.hpp>
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| 16 | #if BOOST_UBLAS_TYPE_CHECK
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| 17 | #include <boost/numeric/ublas/matrix.hpp>
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| 18 | #endif
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| 19 |
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| 20 | #include <boost/next_prior.hpp>
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| 21 | #include <boost/type_traits/remove_cv.hpp>
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| 22 |
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| 23 | namespace boost { namespace numeric { namespace ublas {
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| 24 |
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| 25 | // view a chunk of memory as ublas array
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| 26 |
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| 27 | template < class T >
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| 28 | class c_array_view
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| 29 | : public storage_array< c_array_view<T> > {
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| 30 | private:
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| 31 | typedef c_array_view<T> self_type;
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| 32 | typedef T * pointer;
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| 33 |
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| 34 | public:
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| 35 | // TODO: think about a const pointer
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| 36 | typedef const pointer array_type;
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| 37 |
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| 38 | typedef std::size_t size_type;
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| 39 | typedef std::ptrdiff_t difference_type;
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| 40 |
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| 41 | typedef T value_type;
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| 42 | typedef const T &const_reference;
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| 43 | typedef const T *const_pointer;
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| 44 |
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| 45 | typedef const_pointer const_iterator;
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| 46 | typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
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| 47 |
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| 48 | //
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| 49 | // typedefs required by vector concept
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| 50 | //
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| 51 |
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| 52 | typedef dense_tag storage_category;
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| 53 | typedef const vector_reference<const self_type> const_closure_type;
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| 54 |
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| 55 | c_array_view(size_type size, array_type data) :
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| 56 | size_(size), data_(data)
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| 57 | {}
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| 58 |
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| 59 | ~c_array_view()
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| 60 | {}
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| 61 |
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| 62 | //
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| 63 | // immutable methods of container concept
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| 64 | //
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| 65 |
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| 66 | BOOST_UBLAS_INLINE
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| 67 | size_type size () const {
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| 68 | return size_;
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| 69 | }
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| 70 |
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| 71 | BOOST_UBLAS_INLINE
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| 72 | const_reference operator [] (size_type i) const {
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| 73 | BOOST_UBLAS_CHECK (i < size_, bad_index ());
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| 74 | return data_ [i];
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| 75 | }
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| 76 |
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| 77 | BOOST_UBLAS_INLINE
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| 78 | const_iterator begin () const {
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| 79 | return data_;
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| 80 | }
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| 81 | BOOST_UBLAS_INLINE
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| 82 | const_iterator end () const {
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| 83 | return data_ + size_;
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| 84 | }
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| 85 |
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| 86 | BOOST_UBLAS_INLINE
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| 87 | const_reverse_iterator rbegin () const {
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| 88 | return const_reverse_iterator (end ());
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| 89 | }
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| 90 | BOOST_UBLAS_INLINE
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| 91 | const_reverse_iterator rend () const {
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| 92 | return const_reverse_iterator (begin ());
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| 93 | }
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| 94 |
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| 95 | private:
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| 96 | size_type size_;
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| 97 | array_type data_;
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| 98 | };
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| 99 |
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| 100 |
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| 101 | /** \brief Present existing arrays as compressed array based
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| 102 | * sparse matrix.
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| 103 | * This class provides CRS / CCS storage layout.
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| 104 | *
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| 105 | * see also http://www.netlib.org/utk/papers/templates/node90.html
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| 106 | *
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| 107 | * \param L layout type, either row_major or column_major
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| 108 | * \param IB index base, use 0 for C indexing and 1 for
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| 109 | * FORTRAN indexing of the internal index arrays. This
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| 110 | * does not affect the operator()(int,int) where the first
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| 111 | * row/column has always index 0.
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| 112 | * \param IA index array type, e.g., int[]
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| 113 | * \param TA value array type, e.g., double[]
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| 114 | */
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| 115 | template<class L, std::size_t IB, class IA, class JA, class TA>
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| 116 | class compressed_matrix_view:
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| 117 | public matrix_expression<compressed_matrix_view<L, IB, IA, JA, TA> > {
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| 118 |
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| 119 | public:
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| 120 | typedef typename vector_view_traits<TA>::value_type value_type;
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| 121 |
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| 122 | private:
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| 123 | typedef value_type &true_reference;
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| 124 | typedef value_type *pointer;
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| 125 | typedef const value_type *const_pointer;
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| 126 | typedef L layout_type;
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| 127 | typedef compressed_matrix_view<L, IB, IA, JA, TA> self_type;
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| 128 |
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| 129 | public:
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| 130 | #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
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| 131 | using matrix_expression<self_type>::operator ();
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| 132 | #endif
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| 133 | // ISSUE require type consistency check
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| 134 | // is_convertable (IA::size_type, TA::size_type)
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| 135 | typedef typename boost::remove_cv<typename vector_view_traits<JA>::value_type>::type index_type;
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| 136 | // for compatibility, should be removed some day ...
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| 137 | typedef index_type size_type;
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| 138 | // size_type for the data arrays.
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| 139 | typedef typename vector_view_traits<JA>::size_type array_size_type;
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| 140 | typedef typename vector_view_traits<JA>::difference_type difference_type;
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| 141 | typedef const value_type & const_reference;
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| 142 |
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| 143 | // do NOT define reference type, because class is read only
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| 144 | // typedef value_type & reference;
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| 145 |
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| 146 | typedef IA rowptr_array_type;
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| 147 | typedef JA index_array_type;
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| 148 | typedef TA value_array_type;
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| 149 | typedef const matrix_reference<const self_type> const_closure_type;
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| 150 | typedef matrix_reference<self_type> closure_type;
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| 151 |
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| 152 | // FIXME: define a corresponding temporary type
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| 153 | // typedef compressed_vector<T, IB, IA, TA> vector_temporary_type;
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| 154 |
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| 155 | // FIXME: define a corresponding temporary type
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| 156 | // typedef self_type matrix_temporary_type;
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| 157 |
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| 158 | typedef sparse_tag storage_category;
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| 159 | typedef typename L::orientation_category orientation_category;
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| 160 |
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| 161 | //
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| 162 | // private types for internal use
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| 163 | //
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| 164 |
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| 165 | private:
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| 166 | typedef typename vector_view_traits<index_array_type>::const_iterator const_subiterator_type;
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| 167 |
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| 168 | //
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| 169 | // Construction and destruction
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| 170 | //
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| 171 | private:
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| 172 | /// private default constructor because data must be filled by caller
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| 173 | BOOST_UBLAS_INLINE
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| 174 | compressed_matrix_view () { }
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| 175 |
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| 176 | public:
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| 177 | BOOST_UBLAS_INLINE
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| 178 | compressed_matrix_view (index_type n_rows, index_type n_cols, array_size_type nnz
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| 179 | , const rowptr_array_type & iptr
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| 180 | , const index_array_type & jptr
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| 181 | , const value_array_type & values):
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| 182 | matrix_expression<self_type> (),
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| 183 | size1_ (n_rows), size2_ (n_cols),
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| 184 | nnz_ (nnz),
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| 185 | index1_data_ (iptr),
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| 186 | index2_data_ (jptr),
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| 187 | value_data_ (values) {
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| 188 | storage_invariants ();
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| 189 | }
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| 190 |
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| 191 | BOOST_UBLAS_INLINE
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| 192 | compressed_matrix_view(const compressed_matrix_view& o) :
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| 193 | size1_(o.size1_), size2_(o.size2_),
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| 194 | nnz_(o.nnz_),
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| 195 | index1_data_(o.index1_data_),
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| 196 | index2_data_(o.index2_data_),
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| 197 | value_data_(o.value_data_)
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| 198 | {}
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| 199 |
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| 200 | //
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| 201 | // implement immutable iterator types
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| 202 | //
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| 203 |
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| 204 | class const_iterator1 {};
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| 205 | class const_iterator2 {};
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| 206 |
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| 207 | typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
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| 208 | typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
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| 209 |
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| 210 | //
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| 211 | // implement all read only methods for the matrix expression concept
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| 212 | //
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| 213 |
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| 214 | //! return the number of rows
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| 215 | index_type size1() const {
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| 216 | return size1_;
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| 217 | }
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| 218 |
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| 219 | //! return the number of columns
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| 220 | index_type size2() const {
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| 221 | return size2_;
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| 222 | }
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| 223 |
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| 224 | //! return value at position (i,j)
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| 225 | value_type operator()(index_type i, index_type j) const {
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| 226 | const_pointer p = find_element(i,j);
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| 227 | if (!p) {
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| 228 | return zero_;
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| 229 | } else {
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| 230 | return *p;
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| 231 | }
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| 232 | }
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| 233 |
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| 234 |
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| 235 | private:
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| 236 | //
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| 237 | // private helper functions
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| 238 | //
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| 239 |
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| 240 | const_pointer find_element (index_type i, index_type j) const {
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| 241 | index_type element1 (layout_type::index_M (i, j));
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| 242 | index_type element2 (layout_type::index_m (i, j));
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| 243 |
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| 244 | const array_size_type itv = zero_based( index1_data_[element1] );
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| 245 | const array_size_type itv_next = zero_based( index1_data_[element1+1] );
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| 246 |
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| 247 | const_subiterator_type it_start = boost::next(vector_view_traits<index_array_type>::begin(index2_data_),itv);
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| 248 | const_subiterator_type it_end = boost::next(vector_view_traits<index_array_type>::begin(index2_data_),itv_next);
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| 249 | const_subiterator_type it = find_index_in_row(it_start, it_end, element2) ;
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| 250 |
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| 251 | if (it == it_end || *it != k_based (element2))
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| 252 | return 0;
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| 253 | return &value_data_ [it - vector_view_traits<index_array_type>::begin(index2_data_)];
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| 254 | }
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| 255 |
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| 256 | const_subiterator_type find_index_in_row(const_subiterator_type it_start
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| 257 | , const_subiterator_type it_end
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| 258 | , index_type index) const {
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| 259 | return std::lower_bound( it_start
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| 260 | , it_end
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| 261 | , k_based (index) );
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| 262 | }
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| 263 |
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| 264 |
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| 265 | private:
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| 266 | void storage_invariants () const {
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| 267 | BOOST_UBLAS_CHECK (index1_data_ [layout_type::size_M (size1_, size2_)] == k_based (nnz_), external_logic ());
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| 268 | }
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| 269 |
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| 270 | index_type size1_;
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| 271 | index_type size2_;
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| 272 |
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| 273 | array_size_type nnz_;
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| 274 |
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| 275 | const rowptr_array_type & index1_data_;
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| 276 | const index_array_type & index2_data_;
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| 277 | const value_array_type & value_data_;
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| 278 |
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| 279 | static const value_type zero_;
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| 280 |
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| 281 | BOOST_UBLAS_INLINE
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| 282 | static index_type zero_based (index_type k_based_index) {
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| 283 | return k_based_index - IB;
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| 284 | }
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| 285 | BOOST_UBLAS_INLINE
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| 286 | static index_type k_based (index_type zero_based_index) {
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| 287 | return zero_based_index + IB;
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| 288 | }
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| 289 |
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| 290 | friend class iterator1;
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| 291 | friend class iterator2;
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| 292 | friend class const_iterator1;
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| 293 | friend class const_iterator2;
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| 294 | };
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| 295 |
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| 296 | template<class L, std::size_t IB, class IA, class JA, class TA >
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| 297 | const typename compressed_matrix_view<L,IB,IA,JA,TA>::value_type
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| 298 | compressed_matrix_view<L,IB,IA,JA,TA>::zero_ = value_type/*zero*/();
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| 299 |
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| 300 |
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| 301 | template<class L, std::size_t IB, class IA, class JA, class TA >
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| 302 | compressed_matrix_view<L,IB,IA,JA,TA>
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| 303 | make_compressed_matrix_view(typename vector_view_traits<JA>::value_type n_rows
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| 304 | , typename vector_view_traits<JA>::value_type n_cols
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| 305 | , typename vector_view_traits<JA>::size_type nnz
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| 306 | , const IA & ia
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| 307 | , const JA & ja
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| 308 | , const TA & ta) {
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| 309 |
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| 310 | return compressed_matrix_view<L,IB,IA,JA,TA>(n_rows, n_cols, nnz, ia, ja, ta);
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| 311 |
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| 312 | }
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| 313 |
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| 314 | }}}
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| 315 |
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| 316 | #endif
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