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<h1>operation_sparse.hpp</h1><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">//</span>
<a name="l00002"></a>00002 <span class="comment">// Copyright (c) 2000-2002</span>
<a name="l00003"></a>00003 <span class="comment">// Joerg Walter, Mathias Koch</span>
<a name="l00004"></a>00004 <span class="comment">//</span>
<a name="l00005"></a>00005 <span class="comment">// Distributed under the Boost Software License, Version 1.0. (See</span>
<a name="l00006"></a>00006 <span class="comment">// accompanying file LICENSE_1_0.txt or copy at</span>
<a name="l00007"></a>00007 <span class="comment">// http://www.boost.org/LICENSE_1_0.txt)</span>
<a name="l00008"></a>00008 <span class="comment">//</span>
<a name="l00009"></a>00009 <span class="comment">// The authors gratefully acknowledge the support of</span>
<a name="l00010"></a>00010 <span class="comment">// GeNeSys mbH &amp; Co. KG in producing this work.</span>
<a name="l00011"></a>00011 <span class="comment">//</span>
<a name="l00012"></a>00012
<a name="l00013"></a>00013 <span class="preprocessor">#ifndef _BOOST_UBLAS_OPERATION_SPARSE_</span>
<a name="l00014"></a>00014 <span class="preprocessor"></span><span class="preprocessor">#define _BOOST_UBLAS_OPERATION_SPARSE_</span>
<a name="l00015"></a>00015 <span class="preprocessor"></span>
<a name="l00016"></a>00016 <span class="preprocessor">#include &lt;boost/numeric/ublas/traits.hpp&gt;</span>
<a name="l00017"></a>00017
<a name="l00018"></a>00018 <span class="comment">// These scaled additions were borrowed from MTL unashamedly.</span>
<a name="l00019"></a>00019 <span class="comment">// But Alexei Novakov had a lot of ideas to improve these. Thanks.</span>
<a name="l00020"></a>00020
<a name="l00021"></a>00021 <span class="keyword">namespace </span>boost { <span class="keyword">namespace </span>numeric { <span class="keyword">namespace </span>ublas {
<a name="l00022"></a>00022
<a name="l00023"></a>00023 <span class="keyword">template</span>&lt;<span class="keyword">class</span> M, <span class="keyword">class</span> E1, <span class="keyword">class</span> E2, <span class="keyword">class</span> TRI&gt;
<a name="l00024"></a>00024 BOOST_UBLAS_INLINE
<a name="l00025"></a>00025 M &amp;
<a name="l00026"></a>00026 sparse_prod (<span class="keyword">const</span> matrix_expression&lt;E1&gt; &amp;e1,
<a name="l00027"></a>00027 <span class="keyword">const</span> matrix_expression&lt;E2&gt; &amp;e2,
<a name="l00028"></a>00028 M &amp;m, TRI,
<a name="l00029"></a>00029 row_major_tag) {
<a name="l00030"></a>00030 <span class="keyword">typedef</span> M matrix_type;
<a name="l00031"></a>00031 <span class="keyword">typedef</span> TRI triangular_restriction;
<a name="l00032"></a>00032 <span class="keyword">typedef</span> <span class="keyword">const</span> E1 expression1_type;
<a name="l00033"></a>00033 <span class="keyword">typedef</span> <span class="keyword">const</span> E2 expression2_type;
<a name="l00034"></a>00034 <span class="keyword">typedef</span> <span class="keyword">typename</span> M::size_type size_type;
<a name="l00035"></a>00035 <span class="keyword">typedef</span> <span class="keyword">typename</span> M::value_type value_type;
<a name="l00036"></a>00036
<a name="l00037"></a>00037 <span class="comment">// ISSUE why is there a dense vector here?</span>
<a name="l00038"></a>00038 vector&lt;value_type&gt; temporary (e2 ().size2 ());
<a name="l00039"></a>00039 temporary.clear ();
<a name="l00040"></a>00040 <span class="keyword">typename</span> expression1_type::const_iterator1 it1 (e1 ().begin1 ());
<a name="l00041"></a>00041 <span class="keyword">typename</span> expression1_type::const_iterator1 it1_end (e1 ().end1 ());
<a name="l00042"></a>00042 <span class="keywordflow">while</span> (it1 != it1_end) {
<a name="l00043"></a>00043 size_type jb (temporary.size ());
<a name="l00044"></a>00044 size_type je (0);
<a name="l00045"></a>00045 <span class="preprocessor">#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION</span>
<a name="l00046"></a>00046 <span class="preprocessor"></span> <span class="keyword">typename</span> expression1_type::const_iterator2 it2 (it1.begin ());
<a name="l00047"></a>00047 <span class="keyword">typename</span> expression1_type::const_iterator2 it2_end (it1.end ());
<a name="l00048"></a>00048 <span class="preprocessor">#else</span>
<a name="l00049"></a>00049 <span class="preprocessor"></span> <span class="keyword">typename</span> expression1_type::const_iterator2 it2 (boost::numeric::ublas::begin (it1, iterator1_tag ()));
<a name="l00050"></a>00050 <span class="keyword">typename</span> expression1_type::const_iterator2 it2_end (boost::numeric::ublas::end (it1, iterator1_tag ()));
<a name="l00051"></a>00051 <span class="preprocessor">#endif</span>
<a name="l00052"></a>00052 <span class="preprocessor"></span> <span class="keywordflow">while</span> (it2 != it2_end) {
<a name="l00053"></a>00053 <span class="comment">// temporary.plus_assign (*it2 * row (e2 (), it2.index2 ()));</span>
<a name="l00054"></a>00054 matrix_row&lt;expression2_type&gt; mr (e2 (), it2.index2 ());
<a name="l00055"></a>00055 <span class="keyword">typename</span> matrix_row&lt;expression2_type&gt;::const_iterator itr (mr.begin ());
<a name="l00056"></a>00056 <span class="keyword">typename</span> matrix_row&lt;expression2_type&gt;::const_iterator itr_end (mr.end ());
<a name="l00057"></a>00057 <span class="keywordflow">while</span> (itr != itr_end) {
<a name="l00058"></a>00058 size_type j (itr.index ());
<a name="l00059"></a>00059 temporary (j) += *it2 * *itr;
<a name="l00060"></a>00060 jb = (std::min) (jb, j);
<a name="l00061"></a>00061 je = (std::max) (je, j);
<a name="l00062"></a>00062 ++ itr;
<a name="l00063"></a>00063 }
<a name="l00064"></a>00064 ++ it2;
<a name="l00065"></a>00065 }
<a name="l00066"></a>00066 <span class="keywordflow">for</span> (size_type j = jb; j &lt; je + 1; ++ j) {
<a name="l00067"></a>00067 <span class="keywordflow">if</span> (temporary (j) != value_type<span class="comment">/*zero*/</span>()) {
<a name="l00068"></a>00068 <span class="comment">// FIXME we&apos;ll need to extend the container interface!</span>
<a name="l00069"></a>00069 <span class="comment">// m.push_back (it1.index1 (), j, temporary (j));</span>
<a name="l00070"></a>00070 <span class="comment">// FIXME What to do with adaptors?</span>
<a name="l00071"></a>00071 <span class="comment">// m.insert (it1.index1 (), j, temporary (j));</span>
<a name="l00072"></a>00072 <span class="keywordflow">if</span> (triangular_restriction::other (it1.index1 (), j))
<a name="l00073"></a>00073 m (it1.index1 (), j) = temporary (j);
<a name="l00074"></a>00074 temporary (j) = value_type<span class="comment">/*zero*/</span>();
<a name="l00075"></a>00075 }
<a name="l00076"></a>00076 }
<a name="l00077"></a>00077 ++ it1;
<a name="l00078"></a>00078 }
<a name="l00079"></a>00079 <span class="keywordflow">return</span> m;
<a name="l00080"></a>00080 }
<a name="l00081"></a>00081
<a name="l00082"></a>00082 <span class="keyword">template</span>&lt;<span class="keyword">class</span> M, <span class="keyword">class</span> E1, <span class="keyword">class</span> E2, <span class="keyword">class</span> TRI&gt;
<a name="l00083"></a>00083 BOOST_UBLAS_INLINE
<a name="l00084"></a>00084 M &amp;
<a name="l00085"></a>00085 sparse_prod (<span class="keyword">const</span> matrix_expression&lt;E1&gt; &amp;e1,
<a name="l00086"></a>00086 <span class="keyword">const</span> matrix_expression&lt;E2&gt; &amp;e2,
<a name="l00087"></a>00087 M &amp;m, TRI,
<a name="l00088"></a>00088 column_major_tag) {
<a name="l00089"></a>00089 <span class="keyword">typedef</span> M matrix_type;
<a name="l00090"></a>00090 <span class="keyword">typedef</span> TRI triangular_restriction;
<a name="l00091"></a>00091 <span class="keyword">typedef</span> <span class="keyword">const</span> E1 expression1_type;
<a name="l00092"></a>00092 <span class="keyword">typedef</span> <span class="keyword">const</span> E2 expression2_type;
<a name="l00093"></a>00093 <span class="keyword">typedef</span> <span class="keyword">typename</span> M::size_type size_type;
<a name="l00094"></a>00094 <span class="keyword">typedef</span> <span class="keyword">typename</span> M::value_type value_type;
<a name="l00095"></a>00095
<a name="l00096"></a>00096 <span class="comment">// ISSUE why is there a dense vector here?</span>
<a name="l00097"></a>00097 vector&lt;value_type&gt; temporary (e1 ().size1 ());
<a name="l00098"></a>00098 temporary.clear ();
<a name="l00099"></a>00099 <span class="keyword">typename</span> expression2_type::const_iterator2 it2 (e2 ().begin2 ());
<a name="l00100"></a>00100 <span class="keyword">typename</span> expression2_type::const_iterator2 it2_end (e2 ().end2 ());
<a name="l00101"></a>00101 <span class="keywordflow">while</span> (it2 != it2_end) {
<a name="l00102"></a>00102 size_type ib (temporary.size ());
<a name="l00103"></a>00103 size_type ie (0);
<a name="l00104"></a>00104 <span class="preprocessor">#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION</span>
<a name="l00105"></a>00105 <span class="preprocessor"></span> <span class="keyword">typename</span> expression2_type::const_iterator1 it1 (it2.begin ());
<a name="l00106"></a>00106 <span class="keyword">typename</span> expression2_type::const_iterator1 it1_end (it2.end ());
<a name="l00107"></a>00107 <span class="preprocessor">#else</span>
<a name="l00108"></a>00108 <span class="preprocessor"></span> <span class="keyword">typename</span> expression2_type::const_iterator1 it1 (boost::numeric::ublas::begin (it2, iterator2_tag ()));
<a name="l00109"></a>00109 <span class="keyword">typename</span> expression2_type::const_iterator1 it1_end (boost::numeric::ublas::end (it2, iterator2_tag ()));
<a name="l00110"></a>00110 <span class="preprocessor">#endif</span>
<a name="l00111"></a>00111 <span class="preprocessor"></span> <span class="keywordflow">while</span> (it1 != it1_end) {
<a name="l00112"></a>00112 <span class="comment">// column (m, it2.index2 ()).plus_assign (*it1 * column (e1 (), it1.index1 ()));</span>
<a name="l00113"></a>00113 matrix_column&lt;expression1_type&gt; mc (e1 (), it1.index1 ());
<a name="l00114"></a>00114 <span class="keyword">typename</span> matrix_column&lt;expression1_type&gt;::const_iterator itc (mc.begin ());
<a name="l00115"></a>00115 <span class="keyword">typename</span> matrix_column&lt;expression1_type&gt;::const_iterator itc_end (mc.end ());
<a name="l00116"></a>00116 <span class="keywordflow">while</span> (itc != itc_end) {
<a name="l00117"></a>00117 size_type i (itc.index ());
<a name="l00118"></a>00118 temporary (i) += *it1 * *itc;
<a name="l00119"></a>00119 ib = (std::min) (ib, i);
<a name="l00120"></a>00120 ie = (std::max) (ie, i);
<a name="l00121"></a>00121 ++ itc;
<a name="l00122"></a>00122 }
<a name="l00123"></a>00123 ++ it1;
<a name="l00124"></a>00124 }
<a name="l00125"></a>00125 <span class="keywordflow">for</span> (size_type i = ib; i &lt; ie + 1; ++ i) {
<a name="l00126"></a>00126 <span class="keywordflow">if</span> (temporary (i) != value_type<span class="comment">/*zero*/</span>()) {
<a name="l00127"></a>00127 <span class="comment">// FIXME we&apos;ll need to extend the container interface!</span>
<a name="l00128"></a>00128 <span class="comment">// m.push_back (i, it2.index2 (), temporary (i));</span>
<a name="l00129"></a>00129 <span class="comment">// FIXME What to do with adaptors?</span>
<a name="l00130"></a>00130 <span class="comment">// m.insert (i, it2.index2 (), temporary (i));</span>
<a name="l00131"></a>00131 <span class="keywordflow">if</span> (triangular_restriction::other (i, it2.index2 ()))
<a name="l00132"></a>00132 m (i, it2.index2 ()) = temporary (i);
<a name="l00133"></a>00133 temporary (i) = value_type<span class="comment">/*zero*/</span>();
<a name="l00134"></a>00134 }
<a name="l00135"></a>00135 }
<a name="l00136"></a>00136 ++ it2;
<a name="l00137"></a>00137 }
<a name="l00138"></a>00138 <span class="keywordflow">return</span> m;
<a name="l00139"></a>00139 }
<a name="l00140"></a>00140
<a name="l00141"></a>00141 <span class="comment">// Dispatcher</span>
<a name="l00142"></a>00142 <span class="keyword">template</span>&lt;<span class="keyword">class</span> M, <span class="keyword">class</span> E1, <span class="keyword">class</span> E2, <span class="keyword">class</span> TRI&gt;
<a name="l00143"></a>00143 BOOST_UBLAS_INLINE
<a name="l00144"></a>00144 M &amp;
<a name="l00145"></a>00145 sparse_prod (<span class="keyword">const</span> matrix_expression&lt;E1&gt; &amp;e1,
<a name="l00146"></a>00146 <span class="keyword">const</span> matrix_expression&lt;E2&gt; &amp;e2,
<a name="l00147"></a>00147 M &amp;m, TRI, <span class="keywordtype">bool</span> init = <span class="keyword">true</span>) {
<a name="l00148"></a>00148 <span class="keyword">typedef</span> <span class="keyword">typename</span> M::value_type value_type;
<a name="l00149"></a>00149 <span class="keyword">typedef</span> TRI triangular_restriction;
<a name="l00150"></a>00150 <span class="keyword">typedef</span> <span class="keyword">typename</span> M::orientation_category orientation_category;
<a name="l00151"></a>00151
<a name="l00152"></a>00152 <span class="keywordflow">if</span> (init)
<a name="l00153"></a>00153 m.assign (zero_matrix&lt;value_type&gt; (e1 ().size1 (), e2 ().size2 ()));
<a name="l00154"></a>00154 <span class="keywordflow">return</span> sparse_prod (e1, e2, m, triangular_restriction (), orientation_category ());
<a name="l00155"></a>00155 }
<a name="l00156"></a>00156 <span class="keyword">template</span>&lt;<span class="keyword">class</span> M, <span class="keyword">class</span> E1, <span class="keyword">class</span> E2, <span class="keyword">class</span> TRI&gt;
<a name="l00157"></a>00157 BOOST_UBLAS_INLINE
<a name="l00158"></a>00158 M
<a name="l00159"></a>00159 sparse_prod (<span class="keyword">const</span> matrix_expression&lt;E1&gt; &amp;e1,
<a name="l00160"></a>00160 <span class="keyword">const</span> matrix_expression&lt;E2&gt; &amp;e2,
<a name="l00161"></a>00161 TRI) {
<a name="l00162"></a>00162 <span class="keyword">typedef</span> M matrix_type;
<a name="l00163"></a>00163 <span class="keyword">typedef</span> TRI triangular_restriction;
<a name="l00164"></a>00164
<a name="l00165"></a>00165 matrix_type m (e1 ().size1 (), e2 ().size2 ());
<a name="l00166"></a>00166 <span class="comment">// FIXME needed for c_matrix?!</span>
<a name="l00167"></a>00167 <span class="comment">// return sparse_prod (e1, e2, m, triangular_restriction (), false);</span>
<a name="l00168"></a>00168 <span class="keywordflow">return</span> sparse_prod (e1, e2, m, triangular_restriction (), <span class="keyword">true</span>);
<a name="l00169"></a>00169 }
<a name="l00170"></a>00170 <span class="keyword">template</span>&lt;<span class="keyword">class</span> M, <span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
<a name="l00171"></a>00171 BOOST_UBLAS_INLINE
<a name="l00172"></a>00172 M &amp;
<a name="l00173"></a>00173 sparse_prod (<span class="keyword">const</span> matrix_expression&lt;E1&gt; &amp;e1,
<a name="l00174"></a>00174 <span class="keyword">const</span> matrix_expression&lt;E2&gt; &amp;e2,
<a name="l00175"></a>00175 M &amp;m, <span class="keywordtype">bool</span> init = <span class="keyword">true</span>) {
<a name="l00176"></a>00176 <span class="keyword">typedef</span> <span class="keyword">typename</span> M::value_type value_type;
<a name="l00177"></a>00177 <span class="keyword">typedef</span> <span class="keyword">typename</span> M::orientation_category orientation_category;
<a name="l00178"></a>00178
<a name="l00179"></a>00179 <span class="keywordflow">if</span> (init)
<a name="l00180"></a>00180 m.assign (zero_matrix&lt;value_type&gt; (e1 ().size1 (), e2 ().size2 ()));
<a name="l00181"></a>00181 <span class="keywordflow">return</span> sparse_prod (e1, e2, m, full (), orientation_category ());
<a name="l00182"></a>00182 }
<a name="l00183"></a>00183 <span class="keyword">template</span>&lt;<span class="keyword">class</span> M, <span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
<a name="l00184"></a>00184 BOOST_UBLAS_INLINE
<a name="l00185"></a>00185 M
<a name="l00186"></a>00186 sparse_prod (<span class="keyword">const</span> matrix_expression&lt;E1&gt; &amp;e1,
<a name="l00187"></a>00187 <span class="keyword">const</span> matrix_expression&lt;E2&gt; &amp;e2) {
<a name="l00188"></a>00188 <span class="keyword">typedef</span> M matrix_type;
<a name="l00189"></a>00189
<a name="l00190"></a>00190 matrix_type m (e1 ().size1 (), e2 ().size2 ());
<a name="l00191"></a>00191 <span class="comment">// FIXME needed for c_matrix?!</span>
<a name="l00192"></a>00192 <span class="comment">// return sparse_prod (e1, e2, m, full (), false);</span>
<a name="l00193"></a>00193 <span class="keywordflow">return</span> sparse_prod (e1, e2, m, full (), <span class="keyword">true</span>);
<a name="l00194"></a>00194 }
<a name="l00195"></a>00195
<a name="l00196"></a>00196 }}}
<a name="l00197"></a>00197
<a name="l00198"></a>00198 <span class="preprocessor">#endif</span>
</pre></div></div>
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