Squashed 'third_party/boostorg/ublas/' content from commit e8607b3

Change-Id: Ia06afd642157a24e17fa9ddea28fb8601810b78e
git-subtree-dir: third_party/boostorg/ublas
git-subtree-split: e8607b3eea238e590eca93bfe498c21f470155c1
diff --git a/include/boost/numeric/ublas/operation_sparse.hpp b/include/boost/numeric/ublas/operation_sparse.hpp
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+++ b/include/boost/numeric/ublas/operation_sparse.hpp
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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_OPERATION_SPARSE_
+#define _BOOST_UBLAS_OPERATION_SPARSE_
+
+#include <boost/numeric/ublas/traits.hpp>
+
+// These scaled additions were borrowed from MTL unashamedly.
+// But Alexei Novakov had a lot of ideas to improve these. Thanks.
+
+namespace boost { namespace numeric { namespace ublas {
+
+    template<class M, class E1, class E2, class TRI>
+    BOOST_UBLAS_INLINE
+    M &
+    sparse_prod (const matrix_expression<E1> &e1,
+                 const matrix_expression<E2> &e2,
+                 M &m, TRI,
+                 row_major_tag) {
+        typedef M matrix_type;
+        typedef TRI triangular_restriction;
+        typedef const E1 expression1_type;
+        typedef const E2 expression2_type;
+        typedef typename M::size_type size_type;
+        typedef typename M::value_type value_type;
+
+        // ISSUE why is there a dense vector here?
+        vector<value_type> temporary (e2 ().size2 ());
+        temporary.clear ();
+        typename expression1_type::const_iterator1 it1 (e1 ().begin1 ());
+        typename expression1_type::const_iterator1 it1_end (e1 ().end1 ());
+        while (it1 != it1_end) {
+            size_type jb (temporary.size ());
+            size_type je (0);
+#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
+            typename expression1_type::const_iterator2 it2 (it1.begin ());
+            typename expression1_type::const_iterator2 it2_end (it1.end ());
+#else
+            typename expression1_type::const_iterator2 it2 (boost::numeric::ublas::begin (it1, iterator1_tag ()));
+            typename expression1_type::const_iterator2 it2_end (boost::numeric::ublas::end (it1, iterator1_tag ()));
+#endif
+            while (it2 != it2_end) {
+                // temporary.plus_assign (*it2 * row (e2 (), it2.index2 ()));
+                matrix_row<expression2_type> mr (e2 (), it2.index2 ());
+                typename matrix_row<expression2_type>::const_iterator itr (mr.begin ());
+                typename matrix_row<expression2_type>::const_iterator itr_end (mr.end ());
+                while (itr != itr_end) {
+                    size_type j (itr.index ());
+                    temporary (j) += *it2 * *itr;
+                    jb = (std::min) (jb, j);
+                    je = (std::max) (je, j);
+                    ++ itr;
+                }
+                ++ it2;
+            }
+            for (size_type j = jb; j < je + 1; ++ j) {
+                if (temporary (j) != value_type/*zero*/()) {
+                    // FIXME we'll need to extend the container interface!
+                    // m.push_back (it1.index1 (), j, temporary (j));
+                    // FIXME What to do with adaptors?
+                    // m.insert (it1.index1 (), j, temporary (j));
+                    if (triangular_restriction::other (it1.index1 (), j))
+                        m (it1.index1 (), j) = temporary (j);
+                    temporary (j) = value_type/*zero*/();
+                }
+            }
+            ++ it1;
+        }
+        return m;
+    }
+
+    template<class M, class E1, class E2, class TRI>
+    BOOST_UBLAS_INLINE
+    M &
+    sparse_prod (const matrix_expression<E1> &e1,
+                 const matrix_expression<E2> &e2,
+                 M &m, TRI,
+                 column_major_tag) {
+        typedef M matrix_type;
+        typedef TRI triangular_restriction;
+        typedef const E1 expression1_type;
+        typedef const E2 expression2_type;
+        typedef typename M::size_type size_type;
+        typedef typename M::value_type value_type;
+
+        // ISSUE why is there a dense vector here?
+        vector<value_type> temporary (e1 ().size1 ());
+        temporary.clear ();
+        typename expression2_type::const_iterator2 it2 (e2 ().begin2 ());
+        typename expression2_type::const_iterator2 it2_end (e2 ().end2 ());
+        while (it2 != it2_end) {
+            size_type ib (temporary.size ());
+            size_type ie (0);
+#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
+            typename expression2_type::const_iterator1 it1 (it2.begin ());
+            typename expression2_type::const_iterator1 it1_end (it2.end ());
+#else
+            typename expression2_type::const_iterator1 it1 (boost::numeric::ublas::begin (it2, iterator2_tag ()));
+            typename expression2_type::const_iterator1 it1_end (boost::numeric::ublas::end (it2, iterator2_tag ()));
+#endif
+            while (it1 != it1_end) {
+                // column (m, it2.index2 ()).plus_assign (*it1 * column (e1 (), it1.index1 ()));
+                matrix_column<expression1_type> mc (e1 (), it1.index1 ());
+                typename matrix_column<expression1_type>::const_iterator itc (mc.begin ());
+                typename matrix_column<expression1_type>::const_iterator itc_end (mc.end ());
+                while (itc != itc_end) {
+                    size_type i (itc.index ());
+                    temporary (i) += *it1 * *itc;
+                    ib = (std::min) (ib, i);
+                    ie = (std::max) (ie, i);
+                    ++ itc;
+                }
+                ++ it1;
+            }
+            for (size_type i = ib; i < ie + 1; ++ i) {
+                if (temporary (i) != value_type/*zero*/()) {
+                    // FIXME we'll need to extend the container interface!
+                    // m.push_back (i, it2.index2 (), temporary (i));
+                    // FIXME What to do with adaptors?
+                    // m.insert (i, it2.index2 (), temporary (i));
+                    if (triangular_restriction::other (i, it2.index2 ()))
+                        m (i, it2.index2 ()) = temporary (i);
+                    temporary (i) = value_type/*zero*/();
+                }
+            }
+            ++ it2;
+        }
+        return m;
+    }
+
+    // Dispatcher
+    template<class M, class E1, class E2, class TRI>
+    BOOST_UBLAS_INLINE
+    M &
+    sparse_prod (const matrix_expression<E1> &e1,
+                 const matrix_expression<E2> &e2,
+                 M &m, TRI, bool init = true) {
+        typedef typename M::value_type value_type;
+        typedef TRI triangular_restriction;
+        typedef typename M::orientation_category orientation_category;
+
+        if (init)
+            m.assign (zero_matrix<value_type> (e1 ().size1 (), e2 ().size2 ()));
+        return sparse_prod (e1, e2, m, triangular_restriction (), orientation_category ());
+    }
+    template<class M, class E1, class E2, class TRI>
+    BOOST_UBLAS_INLINE
+    M
+    sparse_prod (const matrix_expression<E1> &e1,
+                 const matrix_expression<E2> &e2,
+                 TRI) {
+        typedef M matrix_type;
+        typedef TRI triangular_restriction;
+
+        matrix_type m (e1 ().size1 (), e2 ().size2 ());
+        // FIXME needed for c_matrix?!
+        // return sparse_prod (e1, e2, m, triangular_restriction (), false);
+        return sparse_prod (e1, e2, m, triangular_restriction (), true);
+    }
+    template<class M, class E1, class E2>
+    BOOST_UBLAS_INLINE
+    M &
+    sparse_prod (const matrix_expression<E1> &e1,
+                 const matrix_expression<E2> &e2,
+                 M &m, bool init = true) {
+        typedef typename M::value_type value_type;
+        typedef typename M::orientation_category orientation_category;
+
+        if (init)
+            m.assign (zero_matrix<value_type> (e1 ().size1 (), e2 ().size2 ()));
+        return sparse_prod (e1, e2, m, full (), orientation_category ());
+    }
+    template<class M, class E1, class E2>
+    BOOST_UBLAS_INLINE
+    M
+    sparse_prod (const matrix_expression<E1> &e1,
+                 const matrix_expression<E2> &e2) {
+        typedef M matrix_type;
+
+        matrix_type m (e1 ().size1 (), e2 ().size2 ());
+        // FIXME needed for c_matrix?!
+        // return sparse_prod (e1, e2, m, full (), false);
+        return sparse_prod (e1, e2, m, full (), true);
+    }
+
+}}}
+
+#endif