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// // Copyright (c) 2000-2002 // Joerg Walter, Mathias Koch // // Distributed under the Boost Software License, Version 1.0. (See // accompanying file LICENSE_1_0.txt or copy at // http://www.boost.org/LICENSE_1_0.txt) // // The authors gratefully acknowledge the support of // GeNeSys mbH & Co. KG in producing this work. // #ifndef _BOOST_UBLAS_MATRIX_ASSIGN_ #define _BOOST_UBLAS_MATRIX_ASSIGN_ #include // Required for make_conformant storage #include // Iterators based on ideas of Jeremy Siek namespace boost { namespace numeric { namespace ublas { namespace detail { // Weak equality check - useful to compare equality two arbitary matrix expression results. // Since the actual expressions are unknown, we check for and arbitary error bound // on the relative error. // For a linear expression the infinity norm makes sense as we do not know how the elements will be // combined in the expression. False positive results are inevitable for arbirary expressions! template BOOST_UBLAS_INLINE bool equals (const matrix_expression &e1, const matrix_expression &e2, S epsilon, S min_norm) { return norm_inf (e1 - e2) <= epsilon * std::max (std::max (norm_inf (e1), norm_inf (e2)), min_norm); } template BOOST_UBLAS_INLINE bool expression_type_check (const matrix_expression &e1, const matrix_expression &e2) { typedef typename type_traits::promote_type>::real_type real_type; return equals (e1, e2, BOOST_UBLAS_TYPE_CHECK_EPSILON, BOOST_UBLAS_TYPE_CHECK_MIN); } template // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it. void make_conformant (M &m, const matrix_expression &e, row_major_tag, R) { BOOST_UBLAS_CHECK (m.size1 () == e ().size1 (), bad_size ()); BOOST_UBLAS_CHECK (m.size2 () == e ().size2 (), bad_size ()); typedef R conformant_restrict_type; typedef typename M::size_type size_type; typedef typename M::difference_type difference_type; typedef typename M::value_type value_type; // FIXME unbounded_array with push_back maybe better std::vector > index; typename M::iterator1 it1 (m.begin1 ()); typename M::iterator1 it1_end (m.end1 ()); typename E::const_iterator1 it1e (e ().begin1 ()); typename E::const_iterator1 it1e_end (e ().end1 ()); while (it1 != it1_end && it1e != it1e_end) { difference_type compare = it1.index1 () - it1e.index1 (); if (compare == 0) { #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION typename M::iterator2 it2 (it1.begin ()); typename M::iterator2 it2_end (it1.end ()); typename E::const_iterator2 it2e (it1e.begin ()); typename E::const_iterator2 it2e_end (it1e.end ()); #else typename M::iterator2 it2 (begin (it1, iterator1_tag ())); typename M::iterator2 it2_end (end (it1, iterator1_tag ())); typename E::const_iterator2 it2e (begin (it1e, iterator1_tag ())); typename E::const_iterator2 it2e_end (end (it1e, iterator1_tag ())); #endif if (it2 != it2_end && it2e != it2e_end) { size_type it2_index = it2.index2 (), it2e_index = it2e.index2 (); for (;;) { difference_type compare2 = it2_index - it2e_index; if (compare2 == 0) { ++ it2, ++ it2e; if (it2 != it2_end && it2e != it2e_end) { it2_index = it2.index2 (); it2e_index = it2e.index2 (); } else break; } else if (compare2 < 0) { increment (it2, it2_end, - compare2); if (it2 != it2_end) it2_index = it2.index2 (); else break; } else if (compare2 > 0) { if (conformant_restrict_type::other (it2e.index1 (), it2e.index2 ())) if (static_cast(*it2e) != value_type/*zero*/()) index.push_back (std::pair (it2e.index1 (), it2e.index2 ())); ++ it2e; if (it2e != it2e_end) it2e_index = it2e.index2 (); else break; } } } while (it2e != it2e_end) { if (conformant_restrict_type::other (it2e.index1 (), it2e.index2 ())) if (static_cast(*it2e) != value_type/*zero*/()) index.push_back (std::pair (it2e.index1 (), it2e.index2 ())); ++ it2e; } ++ it1, ++ it1e; } else if (compare < 0) { increment (it1, it1_end, - compare); } else if (compare > 0) { #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION typename E::const_iterator2 it2e (it1e.begin ()); typename E::const_iterator2 it2e_end (it1e.end ()); #else typename E::const_iterator2 it2e (begin (it1e, iterator1_tag ())); typename E::const_iterator2 it2e_end (end (it1e, iterator1_tag ())); #endif while (it2e != it2e_end) { if (conformant_restrict_type::other (it2e.index1 (), it2e.index2 ())) if (static_cast(*it2e) != value_type/*zero*/()) index.push_back (std::pair (it2e.index1 (), it2e.index2 ())); ++ it2e; } ++ it1e; } } while (it1e != it1e_end) { #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION typename E::const_iterator2 it2e (it1e.begin ()); typename E::const_iterator2 it2e_end (it1e.end ()); #else typename E::const_iterator2 it2e (begin (it1e, iterator1_tag ())); typename E::const_iterator2 it2e_end (end (it1e, iterator1_tag ())); #endif while (it2e != it2e_end) { if (conformant_restrict_type::other (it2e.index1 (), it2e.index2 ())) if (static_cast(*it2e) != value_type/*zero*/()) index.push_back (std::pair (it2e.index1 (), it2e.index2 ())); ++ it2e; } ++ it1e; } // ISSUE proxies require insert_element for (size_type k = 0; k < index.size (); ++ k) m (index [k].first, index [k].second) = value_type/*zero*/(); } template // BOOST_UBLAS_INLINE This function seems to be big. So we do not let the compiler inline it. void make_conformant (M &m, const matrix_expression &e, column_major_tag, R) { BOOST_UBLAS_CHECK (m.size1 () == e ().size1 (), bad_size ()); BOOST_UBLAS_CHECK (m.size2 () == e ().size2 (), bad_size ()); typedef R conformant_restrict_type; typedef typename M::size_type size_type; typedef typename M::difference_type difference_type; typedef typename M::value_type value_type; std::vector > index; typename M::iterator2 it2 (m.begin2 ()); typename M::iterator2 it2_end (m.end2 ()); typename E::const_iterator2 it2e (e ().begin2 ()); typename E::const_iterator2 it2e_end (e ().end2 ()); while (it2 != it2_end && it2e != it2e_end) { difference_type compare = it2.index2 () - it2e.index2 (); if (compare == 0) { #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION typename M::iterator1 it1 (it2.begin ()); typename M::iterator1 it1_end (it2.end ()); typename E::const_iterator1 it1e (it2e.begin ()); typename E::const_iterator1 it1e_end (it2e.end ()); #else typename M::iterator1 it1 (begin (it2, iterator2_tag ())); typename M::iterator1 it1_end (end (it2, iterator2_tag ())); typename E::const_iterator1 it1e (begin (it2e, iterator2_tag ())); typename E::const_iterator1 it1e_end (end (it2e, iterator2_tag ())); #endif if (it1 != it1_end && it1e != it1e_end) { size_type it1_index = it1.index1 (), it1e_index = it1e.index1 (); for (;;) { difference_type compare2 = it1_index - it1e_index; if (compare2 == 0) { ++ it1, ++ it1e; if (it1 != it1_end && it1e != it1e_end) { it1_index = it1.index1 (); it1e_index = it1e.index1 (); } else break; } else if (compare2 < 0) { increment (it1, it1_end, - compare2); if (it1 != it1_end) it1_index = it1.index1 (); else break; } else if (compare2 > 0) { if (conformant_restrict_type::other (it1e.index1 (), it1e.index2 ())) if (static_cast(*it1e) != value_type/*zero*/()) index.push_back (std::pair (it1e.index1 (), it1e.index2 ())); ++ it1e; if (it1e != it1e_end) it1e_index = it1e.index1 (); else break; } } } while (it1e != it1e_end) { if (conformant_restrict_type::other (it1e.index1 (), it1e.index2 ())) if (static_cast(*it1e) != value_type/*zero*/()) index.push_back (std::pair (it1e.index1 (), it1e.index2 ())); ++ it1e; } ++ it2, ++ it2e; } else if (compare < 0) { increment (it2, it2_end, - compare); } else if (compare > 0) { #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION typename E::const_iterator1 it1e (it2e.begin ()); typename E::const_iterator1 it1e_end (it2e.end ()); #else typename E::const_iterator1 it1e (begin (it2e, iterator2_tag ())); typename E::const_iterator1 it1e_end (end (it2e, iterator2_tag ())); #endif while (it1e != it1e_end) { if (conformant_restrict_type::other (it1e.index1 (), it1e.index2 ())) if (static_cast(*it1e) != value_type/*zero*/()) index.push_back (std::pair (it1e.index1 (), it1e.index2 ())); ++ it1e; } ++ it2e; } } while (it2e != it2e_end) { #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION typename E::const_iterator1 it1e (it2e.begin ()); typename E::const_iterator1 it1e_end (it2e.end ()); #else typename E::const_iterator1 it1e (begin (it2e, iterator2_tag ())); typename E::const_iterator1 it1e_end (end (it2e, iterator2_tag ())); #endif while (it1e != it1e_end) { if (conformant_restrict_type::other (it1e.index1 (), it1e.index2 ())) if (static_cast(*it1e) != value_type/*zero*/()) index.push_back (std::pair (it1e.index1 (), it1e.index2 ())); ++ it1e; } ++ it2e; } // ISSUE proxies require insert_element for (size_type k = 0; k < index.size (); ++ k) m (index [k].first, index [k].second) = value_type/*zero*/(); } }//namespace detail // Explicitly iterating row major template