199 lines
8.1 KiB
C++
199 lines
8.1 KiB
C++
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//
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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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#ifndef _BOOST_UBLAS_OPERATION_SPARSE_
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#define _BOOST_UBLAS_OPERATION_SPARSE_
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#include <boost/numeric/ublas/traits.hpp>
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// These scaled additions were borrowed from MTL unashamedly.
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// But Alexei Novakov had a lot of ideas to improve these. Thanks.
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namespace boost { namespace numeric { namespace ublas {
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template<class M, class E1, class E2, class TRI>
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BOOST_UBLAS_INLINE
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M &
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sparse_prod (const matrix_expression<E1> &e1,
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const matrix_expression<E2> &e2,
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M &m, TRI,
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row_major_tag) {
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typedef M matrix_type;
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typedef TRI triangular_restriction;
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typedef const E1 expression1_type;
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typedef const E2 expression2_type;
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typedef typename M::size_type size_type;
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typedef typename M::value_type value_type;
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// ISSUE why is there a dense vector here?
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vector<value_type> temporary (e2 ().size2 ());
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temporary.clear ();
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typename expression1_type::const_iterator1 it1 (e1 ().begin1 ());
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typename expression1_type::const_iterator1 it1_end (e1 ().end1 ());
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while (it1 != it1_end) {
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size_type jb (temporary.size ());
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size_type je (0);
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#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
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typename expression1_type::const_iterator2 it2 (it1.begin ());
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typename expression1_type::const_iterator2 it2_end (it1.end ());
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#else
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typename expression1_type::const_iterator2 it2 (boost::numeric::ublas::begin (it1, iterator1_tag ()));
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typename expression1_type::const_iterator2 it2_end (boost::numeric::ublas::end (it1, iterator1_tag ()));
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#endif
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while (it2 != it2_end) {
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// temporary.plus_assign (*it2 * row (e2 (), it2.index2 ()));
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matrix_row<expression2_type> mr (e2 (), it2.index2 ());
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typename matrix_row<expression2_type>::const_iterator itr (mr.begin ());
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typename matrix_row<expression2_type>::const_iterator itr_end (mr.end ());
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while (itr != itr_end) {
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size_type j (itr.index ());
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temporary (j) += *it2 * *itr;
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jb = (std::min) (jb, j);
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je = (std::max) (je, j);
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++ itr;
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}
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++ it2;
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}
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for (size_type j = jb; j < je + 1; ++ j) {
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if (temporary (j) != value_type/*zero*/()) {
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// FIXME we'll need to extend the container interface!
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// m.push_back (it1.index1 (), j, temporary (j));
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// FIXME What to do with adaptors?
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// m.insert (it1.index1 (), j, temporary (j));
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if (triangular_restriction::other (it1.index1 (), j))
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m (it1.index1 (), j) = temporary (j);
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temporary (j) = value_type/*zero*/();
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}
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}
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++ it1;
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}
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return m;
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}
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template<class M, class E1, class E2, class TRI>
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BOOST_UBLAS_INLINE
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M &
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sparse_prod (const matrix_expression<E1> &e1,
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const matrix_expression<E2> &e2,
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M &m, TRI,
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column_major_tag) {
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typedef M matrix_type;
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typedef TRI triangular_restriction;
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typedef const E1 expression1_type;
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typedef const E2 expression2_type;
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typedef typename M::size_type size_type;
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typedef typename M::value_type value_type;
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// ISSUE why is there a dense vector here?
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vector<value_type> temporary (e1 ().size1 ());
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temporary.clear ();
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typename expression2_type::const_iterator2 it2 (e2 ().begin2 ());
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typename expression2_type::const_iterator2 it2_end (e2 ().end2 ());
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while (it2 != it2_end) {
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size_type ib (temporary.size ());
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size_type ie (0);
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#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
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typename expression2_type::const_iterator1 it1 (it2.begin ());
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typename expression2_type::const_iterator1 it1_end (it2.end ());
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#else
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typename expression2_type::const_iterator1 it1 (boost::numeric::ublas::begin (it2, iterator2_tag ()));
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typename expression2_type::const_iterator1 it1_end (boost::numeric::ublas::end (it2, iterator2_tag ()));
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#endif
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while (it1 != it1_end) {
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// column (m, it2.index2 ()).plus_assign (*it1 * column (e1 (), it1.index1 ()));
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matrix_column<expression1_type> mc (e1 (), it1.index1 ());
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typename matrix_column<expression1_type>::const_iterator itc (mc.begin ());
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typename matrix_column<expression1_type>::const_iterator itc_end (mc.end ());
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while (itc != itc_end) {
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size_type i (itc.index ());
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temporary (i) += *it1 * *itc;
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ib = (std::min) (ib, i);
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ie = (std::max) (ie, i);
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++ itc;
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}
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++ it1;
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}
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for (size_type i = ib; i < ie + 1; ++ i) {
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if (temporary (i) != value_type/*zero*/()) {
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// FIXME we'll need to extend the container interface!
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// m.push_back (i, it2.index2 (), temporary (i));
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// FIXME What to do with adaptors?
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// m.insert (i, it2.index2 (), temporary (i));
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if (triangular_restriction::other (i, it2.index2 ()))
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m (i, it2.index2 ()) = temporary (i);
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temporary (i) = value_type/*zero*/();
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}
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}
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++ it2;
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}
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return m;
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}
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// Dispatcher
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template<class M, class E1, class E2, class TRI>
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BOOST_UBLAS_INLINE
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M &
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sparse_prod (const matrix_expression<E1> &e1,
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const matrix_expression<E2> &e2,
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M &m, TRI, bool init = true) {
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typedef typename M::value_type value_type;
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typedef TRI triangular_restriction;
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typedef typename M::orientation_category orientation_category;
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if (init)
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m.assign (zero_matrix<value_type> (e1 ().size1 (), e2 ().size2 ()));
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return sparse_prod (e1, e2, m, triangular_restriction (), orientation_category ());
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}
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template<class M, class E1, class E2, class TRI>
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BOOST_UBLAS_INLINE
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M
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sparse_prod (const matrix_expression<E1> &e1,
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const matrix_expression<E2> &e2,
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TRI) {
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typedef M matrix_type;
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typedef TRI triangular_restriction;
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matrix_type m (e1 ().size1 (), e2 ().size2 ());
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// FIXME needed for c_matrix?!
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// return sparse_prod (e1, e2, m, triangular_restriction (), false);
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return sparse_prod (e1, e2, m, triangular_restriction (), true);
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}
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template<class M, class E1, class E2>
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BOOST_UBLAS_INLINE
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M &
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sparse_prod (const matrix_expression<E1> &e1,
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const matrix_expression<E2> &e2,
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M &m, bool init = true) {
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typedef typename M::value_type value_type;
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typedef typename M::orientation_category orientation_category;
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if (init)
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m.assign (zero_matrix<value_type> (e1 ().size1 (), e2 ().size2 ()));
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return sparse_prod (e1, e2, m, full (), orientation_category ());
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}
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template<class M, class E1, class E2>
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BOOST_UBLAS_INLINE
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M
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sparse_prod (const matrix_expression<E1> &e1,
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const matrix_expression<E2> &e2) {
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typedef M matrix_type;
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matrix_type m (e1 ().size1 (), e2 ().size2 ());
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// FIXME needed for c_matrix?!
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// return sparse_prod (e1, e2, m, full (), false);
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return sparse_prod (e1, e2, m, full (), true);
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}
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}}}
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#endif
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