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    </ul>
  </div>
<h1>functional.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) 2000-2009</span>
<a name="l00003"></a>00003 <span class="comment">//  Joerg Walter, Mathias Koch, Gunter Winkler</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_FUNCTIONAL_</span>
<a name="l00014"></a>00014 <span class="preprocessor"></span><span class="preprocessor">#define _BOOST_UBLAS_FUNCTIONAL_</span>
<a name="l00015"></a>00015 <span class="preprocessor"></span>
<a name="l00016"></a>00016 <span class="preprocessor">#include &lt;functional&gt;</span>
<a name="l00017"></a>00017 
<a name="l00018"></a>00018 <span class="preprocessor">#include &lt;boost/numeric/ublas/traits.hpp&gt;</span>
<a name="l00019"></a>00019 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_DUFF_DEVICE</span>
<a name="l00020"></a>00020 <span class="preprocessor"></span><span class="preprocessor">#include &lt;boost/numeric/ublas/detail/duff.hpp&gt;</span>
<a name="l00021"></a>00021 <span class="preprocessor">#endif</span>
<a name="l00022"></a>00022 <span class="preprocessor"></span><span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
<a name="l00023"></a>00023 <span class="preprocessor"></span><span class="preprocessor">#include &lt;boost/numeric/ublas/detail/raw.hpp&gt;</span>
<a name="l00024"></a>00024 <span class="preprocessor">#else</span>
<a name="l00025"></a>00025 <span class="preprocessor"></span><span class="keyword">namespace </span>boost { <span class="keyword">namespace </span>numeric { <span class="keyword">namespace </span>ublas { <span class="keyword">namespace </span>raw {
<a name="l00026"></a>00026 }}}}
<a name="l00027"></a>00027 <span class="preprocessor">#endif</span>
<a name="l00028"></a>00028 <span class="preprocessor"></span><span class="preprocessor">#ifdef BOOST_UBLAS_HAVE_BINDINGS</span>
<a name="l00029"></a>00029 <span class="preprocessor"></span><span class="preprocessor">#include &lt;boost/numeric/bindings/traits/std_vector.hpp&gt;</span>
<a name="l00030"></a>00030 <span class="preprocessor">#include &lt;boost/numeric/bindings/traits/ublas_vector.hpp&gt;</span>
<a name="l00031"></a>00031 <span class="preprocessor">#include &lt;boost/numeric/bindings/traits/ublas_matrix.hpp&gt;</span>
<a name="l00032"></a>00032 <span class="preprocessor">#include &lt;boost/numeric/bindings/atlas/cblas.hpp&gt;</span>
<a name="l00033"></a>00033 <span class="preprocessor">#endif</span>
<a name="l00034"></a>00034 <span class="preprocessor"></span>
<a name="l00035"></a>00035 <span class="preprocessor">#include &lt;boost/numeric/ublas/detail/definitions.hpp&gt;</span>
<a name="l00036"></a>00036 
<a name="l00037"></a>00037 
<a name="l00038"></a>00038 
<a name="l00039"></a>00039 <span class="keyword">namespace </span>boost { <span class="keyword">namespace </span>numeric { <span class="keyword">namespace </span>ublas {
<a name="l00040"></a>00040 
<a name="l00041"></a>00041     <span class="comment">// Scalar functors</span>
<a name="l00042"></a>00042 
<a name="l00043"></a>00043     <span class="comment">// Unary</span>
<a name="l00044"></a>00044     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00045"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">00045</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor</a> {
<a name="l00046"></a>00046         <span class="keyword">typedef</span> T value_type;
<a name="l00047"></a>00047         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;T&gt;::const_reference</a> argument_type;
<a name="l00048"></a>00048         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;T&gt;::value_type</a> result_type;
<a name="l00049"></a>00049     };
<a name="l00050"></a>00050 
<a name="l00051"></a>00051     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00052"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__identity.html">00052</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__identity.html">scalar_identity</a>:
<a name="l00053"></a>00053         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor</a>&lt;T&gt; {
<a name="l00054"></a>00054         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor&lt;T&gt;::argument_type</a> argument_type;
<a name="l00055"></a>00055         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor&lt;T&gt;::result_type</a> result_type;
<a name="l00056"></a>00056 
<a name="l00057"></a>00057         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00058"></a>00058         result_type apply (argument_type t) {
<a name="l00059"></a>00059             <span class="keywordflow">return</span> t;
<a name="l00060"></a>00060         }
<a name="l00061"></a>00061     };
<a name="l00062"></a>00062     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00063"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__negate.html">00063</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__negate.html">scalar_negate</a>:
<a name="l00064"></a>00064         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor</a>&lt;T&gt; {
<a name="l00065"></a>00065         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor&lt;T&gt;::argument_type</a> argument_type;
<a name="l00066"></a>00066         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor&lt;T&gt;::result_type</a> result_type;
<a name="l00067"></a>00067 
<a name="l00068"></a>00068         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00069"></a>00069         result_type apply (argument_type t) {
<a name="l00070"></a>00070             <span class="keywordflow">return</span> - t;
<a name="l00071"></a>00071         }
<a name="l00072"></a>00072     };
<a name="l00073"></a>00073     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00074"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__conj.html">00074</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__conj.html">scalar_conj</a>:
<a name="l00075"></a>00075         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor</a>&lt;T&gt; {
<a name="l00076"></a>00076         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor&lt;T&gt;::value_type</a> value_type;
<a name="l00077"></a>00077         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor&lt;T&gt;::argument_type</a> argument_type;
<a name="l00078"></a>00078         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__unary__functor.html">scalar_unary_functor&lt;T&gt;::result_type</a> result_type;
<a name="l00079"></a>00079 
<a name="l00080"></a>00080         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00081"></a>00081         result_type apply (argument_type t) {
<a name="l00082"></a>00082             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::conj</a> (t);
<a name="l00083"></a>00083         }
<a name="l00084"></a>00084     };
<a name="l00085"></a>00085 
<a name="l00086"></a>00086     <span class="comment">// Unary returning real</span>
<a name="l00087"></a>00087     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00088"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">00088</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">scalar_real_unary_functor</a> {
<a name="l00089"></a>00089         <span class="keyword">typedef</span> T value_type;
<a name="l00090"></a>00090         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;T&gt;::const_reference</a> argument_type;
<a name="l00091"></a>00091         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;T&gt;::real_type</a> result_type;
<a name="l00092"></a>00092     };
<a name="l00093"></a>00093 
<a name="l00094"></a>00094     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00095"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real.html">00095</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real.html">scalar_real</a>:
<a name="l00096"></a>00096         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">scalar_real_unary_functor</a>&lt;T&gt; {
<a name="l00097"></a>00097         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">scalar_real_unary_functor&lt;T&gt;::value_type</a> value_type;
<a name="l00098"></a>00098         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">scalar_real_unary_functor&lt;T&gt;::argument_type</a> argument_type;
<a name="l00099"></a>00099         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">scalar_real_unary_functor&lt;T&gt;::result_type</a> result_type;
<a name="l00100"></a>00100 
<a name="l00101"></a>00101         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00102"></a>00102         result_type apply (argument_type t) {
<a name="l00103"></a>00103             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::real</a> (t);
<a name="l00104"></a>00104         }
<a name="l00105"></a>00105     };
<a name="l00106"></a>00106     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00107"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__imag.html">00107</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__imag.html">scalar_imag</a>:
<a name="l00108"></a>00108         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">scalar_real_unary_functor</a>&lt;T&gt; {
<a name="l00109"></a>00109         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">scalar_real_unary_functor&lt;T&gt;::value_type</a> value_type;
<a name="l00110"></a>00110         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">scalar_real_unary_functor&lt;T&gt;::argument_type</a> argument_type;
<a name="l00111"></a>00111         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__real__unary__functor.html">scalar_real_unary_functor&lt;T&gt;::result_type</a> result_type;
<a name="l00112"></a>00112 
<a name="l00113"></a>00113         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00114"></a>00114         result_type apply (argument_type t) {
<a name="l00115"></a>00115             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::imag</a> (t);
<a name="l00116"></a>00116         }
<a name="l00117"></a>00117     };
<a name="l00118"></a>00118 
<a name="l00119"></a>00119     <span class="comment">// Binary</span>
<a name="l00120"></a>00120     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00121"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">00121</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor</a> {
<a name="l00122"></a>00122         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;T1&gt;::const_reference</a> argument1_type;
<a name="l00123"></a>00123         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;T2&gt;::const_reference</a> argument2_type;
<a name="l00124"></a>00124         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1promote__traits.html">promote_traits&lt;T1, T2&gt;::promote_type</a> result_type;
<a name="l00125"></a>00125     };
<a name="l00126"></a>00126 
<a name="l00127"></a>00127     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00128"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__plus.html">00128</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__plus.html">scalar_plus</a>:
<a name="l00129"></a>00129         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor</a>&lt;T1, T2&gt; {
<a name="l00130"></a>00130         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00131"></a>00131         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00132"></a>00132         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::result_type</a> result_type;
<a name="l00133"></a>00133 
<a name="l00134"></a>00134         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00135"></a>00135         result_type apply (argument1_type t1, argument2_type t2) {
<a name="l00136"></a>00136             <span class="keywordflow">return</span> t1 + t2;
<a name="l00137"></a>00137         }
<a name="l00138"></a>00138     };
<a name="l00139"></a>00139     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00140"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__minus.html">00140</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__minus.html">scalar_minus</a>:
<a name="l00141"></a>00141         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor</a>&lt;T1, T2&gt; {
<a name="l00142"></a>00142         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00143"></a>00143         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00144"></a>00144         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::result_type</a> result_type;
<a name="l00145"></a>00145 
<a name="l00146"></a>00146         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00147"></a>00147         result_type apply (argument1_type t1, argument2_type t2) {
<a name="l00148"></a>00148             <span class="keywordflow">return</span> t1 - t2;
<a name="l00149"></a>00149         }
<a name="l00150"></a>00150     };
<a name="l00151"></a>00151     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00152"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__multiplies.html">00152</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__multiplies.html">scalar_multiplies</a>:
<a name="l00153"></a>00153         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor</a>&lt;T1, T2&gt; {
<a name="l00154"></a>00154         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00155"></a>00155         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00156"></a>00156         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::result_type</a> result_type;
<a name="l00157"></a>00157 
<a name="l00158"></a>00158         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00159"></a>00159         result_type apply (argument1_type t1, argument2_type t2) {
<a name="l00160"></a>00160             <span class="keywordflow">return</span> t1 * t2;
<a name="l00161"></a>00161         }
<a name="l00162"></a>00162     };
<a name="l00163"></a>00163     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00164"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__divides.html">00164</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__divides.html">scalar_divides</a>:
<a name="l00165"></a>00165         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor</a>&lt;T1, T2&gt; {
<a name="l00166"></a>00166         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00167"></a>00167         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00168"></a>00168         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__functor.html">scalar_binary_functor&lt;T1, T2&gt;::result_type</a> result_type;
<a name="l00169"></a>00169 
<a name="l00170"></a>00170         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00171"></a>00171         result_type apply (argument1_type t1, argument2_type t2) {
<a name="l00172"></a>00172             <span class="keywordflow">return</span> t1 / t2;
<a name="l00173"></a>00173         }
<a name="l00174"></a>00174     };
<a name="l00175"></a>00175 
<a name="l00176"></a>00176     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00177"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">00177</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor</a> {
<a name="l00178"></a>00178         <span class="comment">// ISSUE Remove reference to avoid reference to reference problems</span>
<a name="l00179"></a>00179         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;typename boost::remove_reference&lt;T1&gt;::type</a>&gt;::reference argument1_type;
<a name="l00180"></a>00180         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;T2&gt;::const_reference</a> argument2_type;
<a name="l00181"></a>00181     };
<a name="l00182"></a>00182 
<a name="l00183"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1assign__tag.html">00183</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1assign__tag.html">assign_tag</a> {};
<a name="l00184"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1computed__assign__tag.html">00184</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1computed__assign__tag.html">computed_assign_tag</a> {};
<a name="l00185"></a>00185 
<a name="l00186"></a>00186     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00187"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__assign.html">00187</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__assign.html">scalar_assign</a>:
<a name="l00188"></a>00188         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor</a>&lt;T1, T2&gt; {
<a name="l00189"></a>00189         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00190"></a>00190         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00191"></a>00191 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
<a name="l00192"></a>00192 <span class="preprocessor"></span>        <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> computed ;
<a name="l00193"></a>00193 <span class="preprocessor">#else</span>
<a name="l00194"></a>00194 <span class="preprocessor"></span>        <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> computed = false ;
<a name="l00195"></a>00195 <span class="preprocessor">#endif</span>
<a name="l00196"></a>00196 <span class="preprocessor"></span>
<a name="l00197"></a>00197         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00198"></a>00198         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
<a name="l00199"></a>00199             t1 = t2;
<a name="l00200"></a>00200         }
<a name="l00201"></a>00201 
<a name="l00202"></a>00202         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
<a name="l00203"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__assign_1_1rebind.html">00203</a>         <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__assign_1_1rebind.html">rebind</a> {
<a name="l00204"></a>00204             <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__assign.html">scalar_assign&lt;U1, U2&gt;</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__assign.html">other</a>;
<a name="l00205"></a>00205         };
<a name="l00206"></a>00206     };
<a name="l00207"></a>00207 
<a name="l00208"></a>00208 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
<a name="l00209"></a>00209 <span class="preprocessor"></span>    <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00210"></a>00210     <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__assign.html">scalar_assign&lt;T1,T2&gt;::computed</a> = <span class="keyword">false</span>;
<a name="l00211"></a>00211 <span class="preprocessor">#endif</span>
<a name="l00212"></a>00212 <span class="preprocessor"></span>
<a name="l00213"></a>00213     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00214"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__plus__assign.html">00214</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__plus__assign.html">scalar_plus_assign</a>:
<a name="l00215"></a>00215         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor</a>&lt;T1, T2&gt; {
<a name="l00216"></a>00216         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00217"></a>00217         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00218"></a>00218 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
<a name="l00219"></a>00219 <span class="preprocessor"></span>        <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> computed ;
<a name="l00220"></a>00220 <span class="preprocessor">#else</span>
<a name="l00221"></a>00221 <span class="preprocessor"></span>        <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> computed = true ;
<a name="l00222"></a>00222 <span class="preprocessor">#endif</span>
<a name="l00223"></a>00223 <span class="preprocessor"></span>
<a name="l00224"></a>00224         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00225"></a>00225         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
<a name="l00226"></a>00226             t1 += t2;
<a name="l00227"></a>00227         }
<a name="l00228"></a>00228 
<a name="l00229"></a>00229         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
<a name="l00230"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__plus__assign_1_1rebind.html">00230</a>         <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__plus__assign_1_1rebind.html">rebind</a> {
<a name="l00231"></a>00231             <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__plus__assign.html">scalar_plus_assign&lt;U1, U2&gt;</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__plus__assign.html">other</a>;
<a name="l00232"></a>00232         };
<a name="l00233"></a>00233     };
<a name="l00234"></a>00234 
<a name="l00235"></a>00235 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
<a name="l00236"></a>00236 <span class="preprocessor"></span>    <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00237"></a>00237     <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__plus__assign.html">scalar_plus_assign&lt;T1,T2&gt;::computed</a> = <span class="keyword">true</span>;
<a name="l00238"></a>00238 <span class="preprocessor">#endif</span>
<a name="l00239"></a>00239 <span class="preprocessor"></span>
<a name="l00240"></a>00240     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00241"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__minus__assign.html">00241</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__minus__assign.html">scalar_minus_assign</a>:
<a name="l00242"></a>00242         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor</a>&lt;T1, T2&gt; {
<a name="l00243"></a>00243         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00244"></a>00244         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00245"></a>00245 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
<a name="l00246"></a>00246 <span class="preprocessor"></span>        <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> computed ;
<a name="l00247"></a>00247 <span class="preprocessor">#else</span>
<a name="l00248"></a>00248 <span class="preprocessor"></span>        <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> computed = true ;
<a name="l00249"></a>00249 <span class="preprocessor">#endif</span>
<a name="l00250"></a>00250 <span class="preprocessor"></span>
<a name="l00251"></a>00251         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00252"></a>00252         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
<a name="l00253"></a>00253             t1 -= t2;
<a name="l00254"></a>00254         }
<a name="l00255"></a>00255 
<a name="l00256"></a>00256         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
<a name="l00257"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__minus__assign_1_1rebind.html">00257</a>         <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__minus__assign_1_1rebind.html">rebind</a> {
<a name="l00258"></a>00258             <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__minus__assign.html">scalar_minus_assign&lt;U1, U2&gt;</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__minus__assign.html">other</a>;
<a name="l00259"></a>00259         };
<a name="l00260"></a>00260     };
<a name="l00261"></a>00261 
<a name="l00262"></a>00262 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
<a name="l00263"></a>00263 <span class="preprocessor"></span>    <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00264"></a>00264     <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__minus__assign.html">scalar_minus_assign&lt;T1,T2&gt;::computed</a> = <span class="keyword">true</span>;
<a name="l00265"></a>00265 <span class="preprocessor">#endif</span>
<a name="l00266"></a>00266 <span class="preprocessor"></span>
<a name="l00267"></a>00267     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00268"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__multiplies__assign.html">00268</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__multiplies__assign.html">scalar_multiplies_assign</a>:
<a name="l00269"></a>00269         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor</a>&lt;T1, T2&gt; {
<a name="l00270"></a>00270         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00271"></a>00271         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00272"></a>00272         <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> computed = <span class="keyword">true</span>;
<a name="l00273"></a>00273 
<a name="l00274"></a>00274         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00275"></a>00275         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
<a name="l00276"></a>00276             t1 *= t2;
<a name="l00277"></a>00277         }
<a name="l00278"></a>00278 
<a name="l00279"></a>00279         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
<a name="l00280"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__multiplies__assign_1_1rebind.html">00280</a>         <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__multiplies__assign_1_1rebind.html">rebind</a> {
<a name="l00281"></a>00281             <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__multiplies__assign.html">scalar_multiplies_assign&lt;U1, U2&gt;</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__multiplies__assign.html">other</a>;
<a name="l00282"></a>00282         };
<a name="l00283"></a>00283     };
<a name="l00284"></a>00284     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00285"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__divides__assign.html">00285</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__divides__assign.html">scalar_divides_assign</a>:
<a name="l00286"></a>00286         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor</a>&lt;T1, T2&gt; {
<a name="l00287"></a>00287         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00288"></a>00288         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__assign__functor.html">scalar_binary_assign_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00289"></a>00289         <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> computed ;
<a name="l00290"></a>00290 
<a name="l00291"></a>00291         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00292"></a>00292         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
<a name="l00293"></a>00293             t1 /= t2;
<a name="l00294"></a>00294         }
<a name="l00295"></a>00295 
<a name="l00296"></a>00296         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
<a name="l00297"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__divides__assign_1_1rebind.html">00297</a>         <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__divides__assign_1_1rebind.html">rebind</a> {
<a name="l00298"></a>00298             <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__divides__assign.html">scalar_divides_assign&lt;U1, U2&gt;</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__divides__assign.html">other</a>;
<a name="l00299"></a>00299         };
<a name="l00300"></a>00300     };
<a name="l00301"></a>00301     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00302"></a>00302     <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__divides__assign.html">scalar_divides_assign&lt;T1,T2&gt;::computed</a> = <span class="keyword">true</span>;
<a name="l00303"></a>00303 
<a name="l00304"></a>00304     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00305"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__swap__functor.html">00305</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__swap__functor.html">scalar_binary_swap_functor</a> {
<a name="l00306"></a>00306         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;typename boost::remove_reference&lt;T1&gt;::type</a>&gt;::reference argument1_type;
<a name="l00307"></a>00307         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;typename boost::remove_reference&lt;T2&gt;::type</a>&gt;::reference argument2_type;
<a name="l00308"></a>00308     };
<a name="l00309"></a>00309 
<a name="l00310"></a>00310     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00311"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__swap.html">00311</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__swap.html">scalar_swap</a>:
<a name="l00312"></a>00312         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__swap__functor.html">scalar_binary_swap_functor</a>&lt;T1, T2&gt; {
<a name="l00313"></a>00313         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__swap__functor.html">scalar_binary_swap_functor&lt;T1, T2&gt;::argument1_type</a> argument1_type;
<a name="l00314"></a>00314         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__binary__swap__functor.html">scalar_binary_swap_functor&lt;T1, T2&gt;::argument2_type</a> argument2_type;
<a name="l00315"></a>00315 
<a name="l00316"></a>00316         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00317"></a>00317         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
<a name="l00318"></a>00318             std::swap (t1, t2);
<a name="l00319"></a>00319         }
<a name="l00320"></a>00320 
<a name="l00321"></a>00321         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
<a name="l00322"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__swap_1_1rebind.html">00322</a>         <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__swap_1_1rebind.html">rebind</a> {
<a name="l00323"></a>00323             <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__swap.html">scalar_swap&lt;U1, U2&gt;</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__swap.html">other</a>;
<a name="l00324"></a>00324         };
<a name="l00325"></a>00325     };
<a name="l00326"></a>00326 
<a name="l00327"></a>00327     <span class="comment">// Vector functors</span>
<a name="l00328"></a>00328 
<a name="l00329"></a>00329     <span class="comment">// Unary returning scalar</span>
<a name="l00330"></a>00330     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
<a name="l00331"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__unary__functor.html">00331</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__unary__functor.html">vector_scalar_unary_functor</a> {
<a name="l00332"></a>00332         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::value_type value_type;
<a name="l00333"></a>00333         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::value_type result_type;
<a name="l00334"></a>00334     };
<a name="l00335"></a>00335 
<a name="l00336"></a>00336     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
<a name="l00337"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__sum.html">00337</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__sum.html">vector_sum</a>: 
<a name="l00338"></a>00338         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__unary__functor.html">vector_scalar_unary_functor</a>&lt;V&gt; {
<a name="l00339"></a>00339         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__unary__functor.html">vector_scalar_unary_functor&lt;V&gt;::value_type</a> value_type;
<a name="l00340"></a>00340         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__unary__functor.html">vector_scalar_unary_functor&lt;V&gt;::result_type</a> result_type;
<a name="l00341"></a>00341 
<a name="l00342"></a>00342         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
<a name="l00343"></a>00343         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00344"></a>00344         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;E&gt;</a> &amp;e) { 
<a name="l00345"></a>00345             result_type t = result_type (0);
<a name="l00346"></a>00346             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
<a name="l00347"></a>00347             vector_size_type size (e ().size ());
<a name="l00348"></a>00348             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i)
<a name="l00349"></a>00349                 t += e () (i);
<a name="l00350"></a>00350             <span class="keywordflow">return</span> t;
<a name="l00351"></a>00351         }
<a name="l00352"></a>00352         <span class="comment">// Dense case</span>
<a name="l00353"></a>00353         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
<a name="l00354"></a>00354         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00355"></a>00355         result_type apply (D size, I it) { 
<a name="l00356"></a>00356             result_type t = result_type (0);
<a name="l00357"></a>00357             <span class="keywordflow">while</span> (-- size &gt;= 0)
<a name="l00358"></a>00358                 t += *it, ++ it;
<a name="l00359"></a>00359             <span class="keywordflow">return</span> t; 
<a name="l00360"></a>00360         }
<a name="l00361"></a>00361         <span class="comment">// Sparse case</span>
<a name="l00362"></a>00362         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l00363"></a>00363         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00364"></a>00364         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) {
<a name="l00365"></a>00365             result_type t = result_type (0);
<a name="l00366"></a>00366             <span class="keywordflow">while</span> (it != it_end) 
<a name="l00367"></a>00367                 t += *it, ++ it;
<a name="l00368"></a>00368             <span class="keywordflow">return</span> t; 
<a name="l00369"></a>00369         }
<a name="l00370"></a>00370     };
<a name="l00371"></a>00371 
<a name="l00372"></a>00372     <span class="comment">// Unary returning real scalar </span>
<a name="l00373"></a>00373     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
<a name="l00374"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">00374</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor</a> {
<a name="l00375"></a>00375         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::value_type value_type;
<a name="l00376"></a>00376         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::real_type</a> real_type;
<a name="l00377"></a>00377         <span class="keyword">typedef</span> real_type result_type;
<a name="l00378"></a>00378     };
<a name="l00379"></a>00379 
<a name="l00380"></a>00380     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
<a name="l00381"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__norm__1.html">00381</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__norm__1.html">vector_norm_1</a>:
<a name="l00382"></a>00382         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor</a>&lt;V&gt; {
<a name="l00383"></a>00383         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor&lt;V&gt;::value_type</a> value_type;
<a name="l00384"></a>00384         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor&lt;V&gt;::real_type</a> real_type;
<a name="l00385"></a>00385         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor&lt;V&gt;::result_type</a> result_type;
<a name="l00386"></a>00386 
<a name="l00387"></a>00387         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
<a name="l00388"></a>00388         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00389"></a>00389         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;E&gt;</a> &amp;e) {
<a name="l00390"></a>00390             real_type t = real_type ();
<a name="l00391"></a>00391             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
<a name="l00392"></a>00392             vector_size_type size (e ().size ());
<a name="l00393"></a>00393             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i) {
<a name="l00394"></a>00394                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::type_abs</a> (e () (i)));
<a name="l00395"></a>00395                 t += u;
<a name="l00396"></a>00396             }
<a name="l00397"></a>00397             <span class="keywordflow">return</span> t;
<a name="l00398"></a>00398         }
<a name="l00399"></a>00399         <span class="comment">// Dense case</span>
<a name="l00400"></a>00400         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
<a name="l00401"></a>00401         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00402"></a>00402         result_type apply (D size, I it) {
<a name="l00403"></a>00403             real_type t = real_type ();
<a name="l00404"></a>00404             <span class="keywordflow">while</span> (-- size &gt;= 0) {
<a name="l00405"></a>00405                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_1</a> (*it));
<a name="l00406"></a>00406                 t += u;
<a name="l00407"></a>00407                 ++ it;
<a name="l00408"></a>00408             }
<a name="l00409"></a>00409             <span class="keywordflow">return</span> t;
<a name="l00410"></a>00410         }
<a name="l00411"></a>00411         <span class="comment">// Sparse case</span>
<a name="l00412"></a>00412         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l00413"></a>00413         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00414"></a>00414         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) {
<a name="l00415"></a>00415             real_type t = real_type ();
<a name="l00416"></a>00416             <span class="keywordflow">while</span> (it != it_end) {
<a name="l00417"></a>00417                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_1</a> (*it));
<a name="l00418"></a>00418                 t += u;
<a name="l00419"></a>00419                 ++ it;
<a name="l00420"></a>00420             }
<a name="l00421"></a>00421             <span class="keywordflow">return</span> t;
<a name="l00422"></a>00422         }
<a name="l00423"></a>00423     };
<a name="l00424"></a>00424     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
<a name="l00425"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__norm__2.html">00425</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__norm__2.html">vector_norm_2</a>:
<a name="l00426"></a>00426         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor</a>&lt;V&gt; {
<a name="l00427"></a>00427         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor&lt;V&gt;::value_type</a> value_type;
<a name="l00428"></a>00428         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor&lt;V&gt;::real_type</a> real_type;
<a name="l00429"></a>00429         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor&lt;V&gt;::result_type</a> result_type;
<a name="l00430"></a>00430 
<a name="l00431"></a>00431         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
<a name="l00432"></a>00432         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00433"></a>00433         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;E&gt;</a> &amp;e) {
<a name="l00434"></a>00434 <span class="preprocessor">#ifndef BOOST_UBLAS_SCALED_NORM</span>
<a name="l00435"></a>00435 <span class="preprocessor"></span>            real_type t = real_type ();
<a name="l00436"></a>00436             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
<a name="l00437"></a>00437             vector_size_type size (e ().size ());
<a name="l00438"></a>00438             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i) {
<a name="l00439"></a>00439                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_2</a> (e () (i)));
<a name="l00440"></a>00440                 t +=  u * u;
<a name="l00441"></a>00441             }
<a name="l00442"></a>00442             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;real_type&gt;::type_sqrt</a> (t);
<a name="l00443"></a>00443 <span class="preprocessor">#else</span>
<a name="l00444"></a>00444 <span class="preprocessor"></span>            real_type scale = real_type ();
<a name="l00445"></a>00445             real_type sum_squares (1);
<a name="l00446"></a>00446             size_type size (e ().size ());
<a name="l00447"></a>00447             <span class="keywordflow">for</span> (size_type i = 0; i &lt; size; ++ i) {
<a name="l00448"></a>00448                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_2</a> (e () (i)));
<a name="l00449"></a>00449                 <span class="keywordflow">if</span> ( real_type () <span class="comment">/* zero */</span> == u ) <span class="keywordflow">continue</span>;
<a name="l00450"></a>00450                 <span class="keywordflow">if</span> (scale &lt; u) {
<a name="l00451"></a>00451                     real_type v (scale / u);
<a name="l00452"></a>00452                     sum_squares = sum_squares * v * v + real_type (1);
<a name="l00453"></a>00453                     scale = u;
<a name="l00454"></a>00454                 } <span class="keywordflow">else</span> {
<a name="l00455"></a>00455                     real_type v (u / scale);
<a name="l00456"></a>00456                     sum_squares += v * v;
<a name="l00457"></a>00457                 }
<a name="l00458"></a>00458             }
<a name="l00459"></a>00459             <span class="keywordflow">return</span> scale * <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;real_type&gt;::type_sqrt</a> (sum_squares);
<a name="l00460"></a>00460 <span class="preprocessor">#endif</span>
<a name="l00461"></a>00461 <span class="preprocessor"></span>        }
<a name="l00462"></a>00462         <span class="comment">// Dense case</span>
<a name="l00463"></a>00463         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
<a name="l00464"></a>00464         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00465"></a>00465         result_type apply (D size, I it) {
<a name="l00466"></a>00466 <span class="preprocessor">#ifndef BOOST_UBLAS_SCALED_NORM</span>
<a name="l00467"></a>00467 <span class="preprocessor"></span>            real_type t = real_type ();
<a name="l00468"></a>00468             <span class="keywordflow">while</span> (-- size &gt;= 0) {
<a name="l00469"></a>00469                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_2</a> (*it));
<a name="l00470"></a>00470                 t +=  u * u;
<a name="l00471"></a>00471                 ++ it;
<a name="l00472"></a>00472             }
<a name="l00473"></a>00473             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;real_type&gt;::type_sqrt</a> (t);
<a name="l00474"></a>00474 <span class="preprocessor">#else</span>
<a name="l00475"></a>00475 <span class="preprocessor"></span>            real_type scale = real_type ();
<a name="l00476"></a>00476             real_type sum_squares (1);
<a name="l00477"></a>00477             <span class="keywordflow">while</span> (-- size &gt;= 0) {
<a name="l00478"></a>00478                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_2</a> (*it));
<a name="l00479"></a>00479                 <span class="keywordflow">if</span> (scale &lt; u) {
<a name="l00480"></a>00480                     real_type v (scale / u);
<a name="l00481"></a>00481                     sum_squares = sum_squares * v * v + real_type (1);
<a name="l00482"></a>00482                     scale = u;
<a name="l00483"></a>00483                 } <span class="keywordflow">else</span> {
<a name="l00484"></a>00484                     real_type v (u / scale);
<a name="l00485"></a>00485                     sum_squares += v * v;
<a name="l00486"></a>00486                 }
<a name="l00487"></a>00487                 ++ it;
<a name="l00488"></a>00488             }
<a name="l00489"></a>00489             <span class="keywordflow">return</span> scale * <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;real_type&gt;::type_sqrt</a> (sum_squares);
<a name="l00490"></a>00490 <span class="preprocessor">#endif</span>
<a name="l00491"></a>00491 <span class="preprocessor"></span>        }
<a name="l00492"></a>00492         <span class="comment">// Sparse case</span>
<a name="l00493"></a>00493         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l00494"></a>00494         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00495"></a>00495         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) {
<a name="l00496"></a>00496 <span class="preprocessor">#ifndef BOOST_UBLAS_SCALED_NORM</span>
<a name="l00497"></a>00497 <span class="preprocessor"></span>            real_type t = real_type ();
<a name="l00498"></a>00498             <span class="keywordflow">while</span> (it != it_end) {
<a name="l00499"></a>00499                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_2</a> (*it));
<a name="l00500"></a>00500                 t +=  u * u;
<a name="l00501"></a>00501                 ++ it;
<a name="l00502"></a>00502             }
<a name="l00503"></a>00503             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;real_type&gt;::type_sqrt</a> (t);
<a name="l00504"></a>00504 <span class="preprocessor">#else</span>
<a name="l00505"></a>00505 <span class="preprocessor"></span>            real_type scale = real_type ();
<a name="l00506"></a>00506             real_type sum_squares (1);
<a name="l00507"></a>00507             <span class="keywordflow">while</span> (it != it_end) {
<a name="l00508"></a>00508                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_2</a> (*it));
<a name="l00509"></a>00509                 <span class="keywordflow">if</span> (scale &lt; u) {
<a name="l00510"></a>00510                     real_type v (scale / u);
<a name="l00511"></a>00511                     sum_squares = sum_squares * v * v + real_type (1);
<a name="l00512"></a>00512                     scale = u;
<a name="l00513"></a>00513                 } <span class="keywordflow">else</span> {
<a name="l00514"></a>00514                     real_type v (u / scale);
<a name="l00515"></a>00515                     sum_squares += v * v;
<a name="l00516"></a>00516                 }
<a name="l00517"></a>00517                 ++ it;
<a name="l00518"></a>00518             }
<a name="l00519"></a>00519             <span class="keywordflow">return</span> scale * <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;real_type&gt;::type_sqrt</a> (sum_squares);
<a name="l00520"></a>00520 <span class="preprocessor">#endif</span>
<a name="l00521"></a>00521 <span class="preprocessor"></span>        }
<a name="l00522"></a>00522     };
<a name="l00523"></a>00523     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
<a name="l00524"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__norm__inf.html">00524</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__norm__inf.html">vector_norm_inf</a>:
<a name="l00525"></a>00525         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor</a>&lt;V&gt; {
<a name="l00526"></a>00526         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor&lt;V&gt;::value_type</a> value_type;
<a name="l00527"></a>00527         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor&lt;V&gt;::real_type</a> real_type;
<a name="l00528"></a>00528         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__real__unary__functor.html">vector_scalar_real_unary_functor&lt;V&gt;::result_type</a> result_type;
<a name="l00529"></a>00529 
<a name="l00530"></a>00530         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
<a name="l00531"></a>00531         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00532"></a>00532         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;E&gt;</a> &amp;e) {
<a name="l00533"></a>00533             real_type t = real_type ();
<a name="l00534"></a>00534             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
<a name="l00535"></a>00535             vector_size_type size (e ().size ());
<a name="l00536"></a>00536             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i) {
<a name="l00537"></a>00537                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_inf</a> (e () (i)));
<a name="l00538"></a>00538                 <span class="keywordflow">if</span> (u &gt; t)
<a name="l00539"></a>00539                     t = u;
<a name="l00540"></a>00540             }
<a name="l00541"></a>00541             <span class="keywordflow">return</span> t;
<a name="l00542"></a>00542         }
<a name="l00543"></a>00543         <span class="comment">// Dense case</span>
<a name="l00544"></a>00544         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
<a name="l00545"></a>00545         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00546"></a>00546         result_type apply (D size, I it) {
<a name="l00547"></a>00547             real_type t = real_type ();
<a name="l00548"></a>00548             <span class="keywordflow">while</span> (-- size &gt;= 0) {
<a name="l00549"></a>00549                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_inf</a> (*it));
<a name="l00550"></a>00550                 <span class="keywordflow">if</span> (u &gt; t)
<a name="l00551"></a>00551                     t = u;
<a name="l00552"></a>00552                 ++ it;
<a name="l00553"></a>00553             }
<a name="l00554"></a>00554             <span class="keywordflow">return</span> t;
<a name="l00555"></a>00555         }
<a name="l00556"></a>00556         <span class="comment">// Sparse case</span>
<a name="l00557"></a>00557         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l00558"></a>00558         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00559"></a>00559         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) { 
<a name="l00560"></a>00560             real_type t = real_type ();
<a name="l00561"></a>00561             <span class="keywordflow">while</span> (it != it_end) {
<a name="l00562"></a>00562                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_inf</a> (*it));
<a name="l00563"></a>00563                 <span class="keywordflow">if</span> (u &gt; t) 
<a name="l00564"></a>00564                     t = u;
<a name="l00565"></a>00565                 ++ it;
<a name="l00566"></a>00566             }
<a name="l00567"></a>00567             <span class="keywordflow">return</span> t; 
<a name="l00568"></a>00568         }
<a name="l00569"></a>00569     };
<a name="l00570"></a>00570 
<a name="l00571"></a>00571     <span class="comment">// Unary returning index</span>
<a name="l00572"></a>00572     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
<a name="l00573"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__index__unary__functor.html">00573</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__index__unary__functor.html">vector_scalar_index_unary_functor</a> {
<a name="l00574"></a>00574         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::value_type value_type;
<a name="l00575"></a>00575         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::real_type</a> real_type;
<a name="l00576"></a>00576         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::size_type result_type;
<a name="l00577"></a>00577     };
<a name="l00578"></a>00578 
<a name="l00579"></a>00579     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
<a name="l00580"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__index__norm__inf.html">00580</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__index__norm__inf.html">vector_index_norm_inf</a>:
<a name="l00581"></a>00581         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__index__unary__functor.html">vector_scalar_index_unary_functor</a>&lt;V&gt; {
<a name="l00582"></a>00582         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__index__unary__functor.html">vector_scalar_index_unary_functor&lt;V&gt;::value_type</a> value_type;
<a name="l00583"></a>00583         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__index__unary__functor.html">vector_scalar_index_unary_functor&lt;V&gt;::real_type</a> real_type;
<a name="l00584"></a>00584         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__index__unary__functor.html">vector_scalar_index_unary_functor&lt;V&gt;::result_type</a> result_type;
<a name="l00585"></a>00585 
<a name="l00586"></a>00586         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
<a name="l00587"></a>00587         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00588"></a>00588         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;E&gt;</a> &amp;e) {
<a name="l00589"></a>00589             <span class="comment">// ISSUE For CBLAS compatibility return 0 index in empty case</span>
<a name="l00590"></a>00590             result_type i_norm_inf (0);
<a name="l00591"></a>00591             real_type t = real_type ();
<a name="l00592"></a>00592             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
<a name="l00593"></a>00593             vector_size_type size (e ().size ());
<a name="l00594"></a>00594             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i) {
<a name="l00595"></a>00595                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_inf</a> (e () (i)));
<a name="l00596"></a>00596                 <span class="keywordflow">if</span> (u &gt; t) {
<a name="l00597"></a>00597                     i_norm_inf = i;
<a name="l00598"></a>00598                     t = u;
<a name="l00599"></a>00599                 }
<a name="l00600"></a>00600             }
<a name="l00601"></a>00601             <span class="keywordflow">return</span> i_norm_inf;
<a name="l00602"></a>00602         }
<a name="l00603"></a>00603         <span class="comment">// Dense case</span>
<a name="l00604"></a>00604         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
<a name="l00605"></a>00605         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00606"></a>00606         result_type apply (D size, I it) {
<a name="l00607"></a>00607             <span class="comment">// ISSUE For CBLAS compatibility return 0 index in empty case</span>
<a name="l00608"></a>00608             result_type i_norm_inf (0);
<a name="l00609"></a>00609             real_type t = real_type ();
<a name="l00610"></a>00610             <span class="keywordflow">while</span> (-- size &gt;= 0) {
<a name="l00611"></a>00611                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_inf</a> (*it));
<a name="l00612"></a>00612                 <span class="keywordflow">if</span> (u &gt; t) {
<a name="l00613"></a>00613                     i_norm_inf = it.index ();
<a name="l00614"></a>00614                     t = u;
<a name="l00615"></a>00615                 }
<a name="l00616"></a>00616                 ++ it;
<a name="l00617"></a>00617             }
<a name="l00618"></a>00618             <span class="keywordflow">return</span> i_norm_inf;
<a name="l00619"></a>00619         }
<a name="l00620"></a>00620         <span class="comment">// Sparse case</span>
<a name="l00621"></a>00621         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l00622"></a>00622         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00623"></a>00623         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) {
<a name="l00624"></a>00624             <span class="comment">// ISSUE For CBLAS compatibility return 0 index in empty case</span>
<a name="l00625"></a>00625             result_type i_norm_inf (0);
<a name="l00626"></a>00626             real_type t = real_type ();
<a name="l00627"></a>00627             <span class="keywordflow">while</span> (it != it_end) {
<a name="l00628"></a>00628                 real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_inf</a> (*it));
<a name="l00629"></a>00629                 <span class="keywordflow">if</span> (u &gt; t) {
<a name="l00630"></a>00630                     i_norm_inf = it.index ();
<a name="l00631"></a>00631                     t = u;
<a name="l00632"></a>00632                 }
<a name="l00633"></a>00633                 ++ it;
<a name="l00634"></a>00634             }
<a name="l00635"></a>00635             <span class="keywordflow">return</span> i_norm_inf;
<a name="l00636"></a>00636         }
<a name="l00637"></a>00637     };
<a name="l00638"></a>00638 
<a name="l00639"></a>00639     <span class="comment">// Binary returning scalar</span>
<a name="l00640"></a>00640     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V1, <span class="keyword">class</span> V2, <span class="keyword">class</span> TV&gt;
<a name="l00641"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__binary__functor.html">00641</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__binary__functor.html">vector_scalar_binary_functor</a> {
<a name="l00642"></a>00642         <span class="keyword">typedef</span> TV value_type;
<a name="l00643"></a>00643         <span class="keyword">typedef</span> TV result_type;
<a name="l00644"></a>00644     };
<a name="l00645"></a>00645 
<a name="l00646"></a>00646     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V1, <span class="keyword">class</span> V2, <span class="keyword">class</span> TV&gt;
<a name="l00647"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__inner__prod.html">00647</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__inner__prod.html">vector_inner_prod</a>:
<a name="l00648"></a>00648         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__binary__functor.html">vector_scalar_binary_functor</a>&lt;V1, V2, TV&gt; {
<a name="l00649"></a>00649         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__binary__functor.html">vector_scalar_binary_functor&lt;V1, V2, TV&gt;::value_type</a> value_type;
<a name="l00650"></a>00650         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__scalar__binary__functor.html">vector_scalar_binary_functor&lt;V1, V2, TV&gt;::result_type</a> result_type;
<a name="l00651"></a>00651 
<a name="l00652"></a>00652         <span class="keyword">template</span>&lt;<span class="keyword">class</span> C1, <span class="keyword">class</span> C2&gt;
<a name="l00653"></a>00653         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00654"></a>00654         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__container.html" title="Base class for Vector container models.">vector_container&lt;C1&gt;</a> &amp;c1,
<a name="l00655"></a>00655                            <span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__container.html" title="Base class for Vector container models.">vector_container&lt;C2&gt;</a> &amp;c2) {
<a name="l00656"></a>00656 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
<a name="l00657"></a>00657 <span class="preprocessor"></span>            <span class="keyword">using namespace </span>raw;
<a name="l00658"></a>00658             <span class="keyword">typedef</span> <span class="keyword">typename</span> C1::size_type vector_size_type;
<a name="l00659"></a>00659             vector_size_type size (BOOST_UBLAS_SAME (c1 ().size (), c2 ().size ()));
<a name="l00660"></a>00660             <span class="keyword">const</span> <span class="keyword">typename</span> V1::value_type *data1 = data_const (c1 ());
<a name="l00661"></a>00661             <span class="keyword">const</span> <span class="keyword">typename</span> V1::value_type *data2 = data_const (c2 ());
<a name="l00662"></a>00662             vector_size_type s1 = stride (c1 ());
<a name="l00663"></a>00663             vector_size_type s2 = stride (c2 ());
<a name="l00664"></a>00664             result_type t = result_type (0);
<a name="l00665"></a>00665             <span class="keywordflow">if</span> (s1 == 1 &amp;&amp; s2 == 1) {
<a name="l00666"></a>00666                 <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i)
<a name="l00667"></a>00667                     t += data1 [i] * data2 [i];
<a name="l00668"></a>00668             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s2 == 1) {
<a name="l00669"></a>00669                 <span class="keywordflow">for</span> (vector_size_type i = 0, i1 = 0; i &lt; size; ++ i, i1 += s1)
<a name="l00670"></a>00670                     t += data1 [i1] * data2 [i];
<a name="l00671"></a>00671             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s1 == 1) {
<a name="l00672"></a>00672                 <span class="keywordflow">for</span> (vector_size_type i = 0, i2 = 0; i &lt; size; ++ i, i2 += s2)
<a name="l00673"></a>00673                     t += data1 [i] * data2 [i2];
<a name="l00674"></a>00674             } <span class="keywordflow">else</span> {
<a name="l00675"></a>00675                 <span class="keywordflow">for</span> (vector_size_type i = 0, i1 = 0, i2 = 0; i &lt; size; ++ i, i1 += s1, i2 += s2)
<a name="l00676"></a>00676                     t += data1 [i1] * data2 [i2];
<a name="l00677"></a>00677             }
<a name="l00678"></a>00678             <span class="keywordflow">return</span> t;
<a name="l00679"></a>00679 <span class="preprocessor">#elif defined(BOOST_UBLAS_HAVE_BINDINGS)</span>
<a name="l00680"></a>00680 <span class="preprocessor"></span>            <span class="keywordflow">return</span> boost::numeric::bindings::atlas::dot (c1 (), c2 ());
<a name="l00681"></a>00681 <span class="preprocessor">#else</span>
<a name="l00682"></a>00682 <span class="preprocessor"></span>            <span class="keywordflow">return</span> apply (<span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;C1&gt;</a> <span class="keyword">&gt;</span> (c1), <span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;C2&gt;</a> <span class="keyword">&gt;</span> (c2));
<a name="l00683"></a>00683 <span class="preprocessor">#endif</span>
<a name="l00684"></a>00684 <span class="preprocessor"></span>        }
<a name="l00685"></a>00685         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
<a name="l00686"></a>00686         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00687"></a>00687         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;E1&gt;</a> &amp;e1,
<a name="l00688"></a>00688                            <span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;E2&gt;</a> &amp;e2) {
<a name="l00689"></a>00689             <span class="keyword">typedef</span> <span class="keyword">typename</span> E1::size_type vector_size_type;
<a name="l00690"></a>00690             vector_size_type size (BOOST_UBLAS_SAME (e1 ().size (), e2 ().size ()));
<a name="l00691"></a>00691             result_type t = result_type (0);
<a name="l00692"></a>00692 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
<a name="l00693"></a>00693 <span class="preprocessor"></span>            <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i)
<a name="l00694"></a>00694                 t += e1 () (i) * e2 () (i);
<a name="l00695"></a>00695 <span class="preprocessor">#else</span>
<a name="l00696"></a>00696 <span class="preprocessor"></span>            vector_size_type i (0);
<a name="l00697"></a>00697             DD (size, 4, r, (t += e1 () (i) * e2 () (i), ++ i));
<a name="l00698"></a>00698 <span class="preprocessor">#endif</span>
<a name="l00699"></a>00699 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
<a name="l00700"></a>00700         }
<a name="l00701"></a>00701         <span class="comment">// Dense case</span>
<a name="l00702"></a>00702         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l00703"></a>00703         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00704"></a>00704         result_type apply (D size, I1 it1, I2 it2) {
<a name="l00705"></a>00705             result_type t = result_type (0);
<a name="l00706"></a>00706 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
<a name="l00707"></a>00707 <span class="preprocessor"></span>            <span class="keywordflow">while</span> (-- size &gt;= 0)
<a name="l00708"></a>00708                 t += *it1 * *it2, ++ it1, ++ it2;
<a name="l00709"></a>00709 <span class="preprocessor">#else</span>
<a name="l00710"></a>00710 <span class="preprocessor"></span>            DD (size, 4, r, (t += *it1 * *it2, ++ it1, ++ it2));
<a name="l00711"></a>00711 <span class="preprocessor">#endif</span>
<a name="l00712"></a>00712 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
<a name="l00713"></a>00713         }
<a name="l00714"></a>00714         <span class="comment">// Packed case</span>
<a name="l00715"></a>00715         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l00716"></a>00716         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00717"></a>00717         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end) {
<a name="l00718"></a>00718             result_type t = result_type (0);
<a name="l00719"></a>00719             <span class="keyword">typedef</span> <span class="keyword">typename</span> I1::difference_type vector_difference_type;
<a name="l00720"></a>00720             vector_difference_type it1_size (it1_end - it1);
<a name="l00721"></a>00721             vector_difference_type it2_size (it2_end - it2);
<a name="l00722"></a>00722             vector_difference_type diff (0);
<a name="l00723"></a>00723             <span class="keywordflow">if</span> (it1_size &gt; 0 &amp;&amp; it2_size &gt; 0)
<a name="l00724"></a>00724                 diff = it2.index () - it1.index ();
<a name="l00725"></a>00725             <span class="keywordflow">if</span> (diff != 0) {
<a name="l00726"></a>00726                 vector_difference_type size = (std::min) (diff, it1_size);
<a name="l00727"></a>00727                 <span class="keywordflow">if</span> (size &gt; 0) {
<a name="l00728"></a>00728                     it1 += size;
<a name="l00729"></a>00729                     it1_size -= size;
<a name="l00730"></a>00730                     diff -= size;
<a name="l00731"></a>00731                 }
<a name="l00732"></a>00732                 size = (std::min) (- diff, it2_size);
<a name="l00733"></a>00733                 <span class="keywordflow">if</span> (size &gt; 0) {
<a name="l00734"></a>00734                     it2 += size;
<a name="l00735"></a>00735                     it2_size -= size;
<a name="l00736"></a>00736                     diff += size;
<a name="l00737"></a>00737                 }
<a name="l00738"></a>00738             }
<a name="l00739"></a>00739             vector_difference_type size ((std::min) (it1_size, it2_size));
<a name="l00740"></a>00740             <span class="keywordflow">while</span> (-- size &gt;= 0)
<a name="l00741"></a>00741                 t += *it1 * *it2, ++ it1, ++ it2;
<a name="l00742"></a>00742             <span class="keywordflow">return</span> t;
<a name="l00743"></a>00743         }
<a name="l00744"></a>00744         <span class="comment">// Sparse case</span>
<a name="l00745"></a>00745         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l00746"></a>00746         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00747"></a>00747         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>) {
<a name="l00748"></a>00748             result_type t = result_type (0);
<a name="l00749"></a>00749             <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
<a name="l00750"></a>00750                 <span class="keywordflow">while</span> (<span class="keyword">true</span>) {
<a name="l00751"></a>00751                     <span class="keywordflow">if</span> (it1.index () == it2.index ()) {
<a name="l00752"></a>00752                         t += *it1 * *it2, ++ it1, ++ it2;
<a name="l00753"></a>00753                         <span class="keywordflow">if</span> (it1 == it1_end || it2 == it2_end)
<a name="l00754"></a>00754                             <span class="keywordflow">break</span>;
<a name="l00755"></a>00755                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (it1.index () &lt; it2.index ()) {
<a name="l00756"></a>00756                         increment (it1, it1_end, it2.index () - it1.index ());
<a name="l00757"></a>00757                         <span class="keywordflow">if</span> (it1 == it1_end)
<a name="l00758"></a>00758                             <span class="keywordflow">break</span>;
<a name="l00759"></a>00759                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (it1.index () &gt; it2.index ()) {
<a name="l00760"></a>00760                         increment (it2, it2_end, it1.index () - it2.index ());
<a name="l00761"></a>00761                         <span class="keywordflow">if</span> (it2 == it2_end)
<a name="l00762"></a>00762                             <span class="keywordflow">break</span>;
<a name="l00763"></a>00763                     }
<a name="l00764"></a>00764                 }
<a name="l00765"></a>00765             }
<a name="l00766"></a>00766             <span class="keywordflow">return</span> t;
<a name="l00767"></a>00767         }
<a name="l00768"></a>00768     };
<a name="l00769"></a>00769 
<a name="l00770"></a>00770     <span class="comment">// Matrix functors</span>
<a name="l00771"></a>00771 
<a name="l00772"></a>00772     <span class="comment">// Binary returning vector</span>
<a name="l00773"></a>00773     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M1, <span class="keyword">class</span> M2, <span class="keyword">class</span> TV&gt;
<a name="l00774"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">00774</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor</a> {
<a name="l00775"></a>00775         <span class="keyword">typedef</span> <span class="keyword">typename</span> M1::size_type size_type;
<a name="l00776"></a>00776         <span class="keyword">typedef</span> <span class="keyword">typename</span> M1::difference_type difference_type;
<a name="l00777"></a>00777         <span class="keyword">typedef</span> TV value_type;
<a name="l00778"></a>00778         <span class="keyword">typedef</span> TV result_type;
<a name="l00779"></a>00779     };
<a name="l00780"></a>00780 
<a name="l00781"></a>00781     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M1, <span class="keyword">class</span> M2, <span class="keyword">class</span> TV&gt;
<a name="l00782"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__prod1.html">00782</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__prod1.html">matrix_vector_prod1</a>:
<a name="l00783"></a>00783         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor</a>&lt;M1, M2, TV&gt; {
<a name="l00784"></a>00784         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor&lt;M1, M2, TV&gt;::size_type</a> size_type;
<a name="l00785"></a>00785         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor&lt;M1, M2, TV&gt;::difference_type</a> difference_type;
<a name="l00786"></a>00786         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor&lt;M1, M2, TV&gt;::value_type</a> value_type;
<a name="l00787"></a>00787         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor&lt;M1, M2, TV&gt;::result_type</a> result_type;
<a name="l00788"></a>00788 
<a name="l00789"></a>00789         <span class="keyword">template</span>&lt;<span class="keyword">class</span> C1, <span class="keyword">class</span> C2&gt;
<a name="l00790"></a>00790         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00791"></a>00791         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__container.html" title="Base class for Matrix container models.">matrix_container&lt;C1&gt;</a> &amp;c1,
<a name="l00792"></a>00792                            <span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__container.html" title="Base class for Vector container models.">vector_container&lt;C2&gt;</a> &amp;c2,
<a name="l00793"></a>00793                            size_type i) {
<a name="l00794"></a>00794 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
<a name="l00795"></a>00795 <span class="preprocessor"></span>            <span class="keyword">using namespace </span>raw;
<a name="l00796"></a>00796             size_type size = BOOST_UBLAS_SAME (c1 ().size2 (), c2 ().size ());
<a name="l00797"></a>00797             <span class="keyword">const</span> <span class="keyword">typename</span> M1::value_type *data1 = data_const (c1 ()) + i * stride1 (c1 ());
<a name="l00798"></a>00798             <span class="keyword">const</span> <span class="keyword">typename</span> M2::value_type *data2 = data_const (c2 ());
<a name="l00799"></a>00799             size_type s1 = stride2 (c1 ());
<a name="l00800"></a>00800             size_type s2 = stride (c2 ());
<a name="l00801"></a>00801             result_type t = result_type (0);
<a name="l00802"></a>00802             <span class="keywordflow">if</span> (s1 == 1 &amp;&amp; s2 == 1) {
<a name="l00803"></a>00803                 <span class="keywordflow">for</span> (size_type j = 0; j &lt; size; ++ j)
<a name="l00804"></a>00804                     t += data1 [j] * data2 [j];
<a name="l00805"></a>00805             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s2 == 1) {
<a name="l00806"></a>00806                 <span class="keywordflow">for</span> (size_type j = 0, j1 = 0; j &lt; size; ++ j, j1 += s1)
<a name="l00807"></a>00807                     t += data1 [j1] * data2 [j];
<a name="l00808"></a>00808             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s1 == 1) {
<a name="l00809"></a>00809                 <span class="keywordflow">for</span> (size_type j = 0, j2 = 0; j &lt; size; ++ j, j2 += s2)
<a name="l00810"></a>00810                     t += data1 [j] * data2 [j2];
<a name="l00811"></a>00811             } <span class="keywordflow">else</span> {
<a name="l00812"></a>00812                 <span class="keywordflow">for</span> (size_type j = 0, j1 = 0, j2 = 0; j &lt; size; ++ j, j1 += s1, j2 += s2)
<a name="l00813"></a>00813                     t += data1 [j1] * data2 [j2];
<a name="l00814"></a>00814             }
<a name="l00815"></a>00815             <span class="keywordflow">return</span> t;
<a name="l00816"></a>00816 <span class="preprocessor">#elif defined(BOOST_UBLAS_HAVE_BINDINGS)</span>
<a name="l00817"></a>00817 <span class="preprocessor"></span>            <span class="keywordflow">return</span> boost::numeric::bindings::atlas::dot (c1 ().row (i), c2 ());
<a name="l00818"></a>00818 <span class="preprocessor">#else</span>
<a name="l00819"></a>00819 <span class="preprocessor"></span>            <span class="keywordflow">return</span> apply (<span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;C1&gt;</a> <span class="keyword">&gt;</span> (c1), <span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;C2&gt;</a> <span class="keyword">&gt;</span> (c2, i));
<a name="l00820"></a>00820 <span class="preprocessor">#endif</span>
<a name="l00821"></a>00821 <span class="preprocessor"></span>        }
<a name="l00822"></a>00822         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
<a name="l00823"></a>00823         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00824"></a>00824         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;E1&gt;</a> &amp;e1,
<a name="l00825"></a>00825                            <span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;E2&gt;</a> &amp;e2,
<a name="l00826"></a>00826                            size_type i) {
<a name="l00827"></a>00827             size_type size = BOOST_UBLAS_SAME (e1 ().size2 (), e2 ().size ());
<a name="l00828"></a>00828             result_type t = result_type (0);
<a name="l00829"></a>00829 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
<a name="l00830"></a>00830 <span class="preprocessor"></span>            <span class="keywordflow">for</span> (size_type j = 0; j &lt; size; ++ j)
<a name="l00831"></a>00831                 t += e1 () (i, j) * e2 () (j);
<a name="l00832"></a>00832 <span class="preprocessor">#else</span>
<a name="l00833"></a>00833 <span class="preprocessor"></span>            size_type j (0);
<a name="l00834"></a>00834             DD (size, 4, r, (t += e1 () (i, j) * e2 () (j), ++ j));
<a name="l00835"></a>00835 <span class="preprocessor">#endif</span>
<a name="l00836"></a>00836 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
<a name="l00837"></a>00837         }
<a name="l00838"></a>00838         <span class="comment">// Dense case</span>
<a name="l00839"></a>00839         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l00840"></a>00840         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00841"></a>00841         result_type apply (difference_type size, I1 it1, I2 it2) {
<a name="l00842"></a>00842             result_type t = result_type (0);
<a name="l00843"></a>00843 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
<a name="l00844"></a>00844 <span class="preprocessor"></span>            <span class="keywordflow">while</span> (-- size &gt;= 0)
<a name="l00845"></a>00845                 t += *it1 * *it2, ++ it1, ++ it2;
<a name="l00846"></a>00846 <span class="preprocessor">#else</span>
<a name="l00847"></a>00847 <span class="preprocessor"></span>            DD (size, 4, r, (t += *it1 * *it2, ++ it1, ++ it2));
<a name="l00848"></a>00848 <span class="preprocessor">#endif</span>
<a name="l00849"></a>00849 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
<a name="l00850"></a>00850         }
<a name="l00851"></a>00851         <span class="comment">// Packed case</span>
<a name="l00852"></a>00852         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l00853"></a>00853         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00854"></a>00854         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end) {
<a name="l00855"></a>00855             result_type t = result_type (0);
<a name="l00856"></a>00856             difference_type it1_size (it1_end - it1);
<a name="l00857"></a>00857             difference_type it2_size (it2_end - it2);
<a name="l00858"></a>00858             difference_type diff (0);
<a name="l00859"></a>00859             <span class="keywordflow">if</span> (it1_size &gt; 0 &amp;&amp; it2_size &gt; 0)
<a name="l00860"></a>00860                 diff = it2.index () - it1.index2 ();
<a name="l00861"></a>00861             <span class="keywordflow">if</span> (diff != 0) {
<a name="l00862"></a>00862                 difference_type size = (std::min) (diff, it1_size);
<a name="l00863"></a>00863                 <span class="keywordflow">if</span> (size &gt; 0) {
<a name="l00864"></a>00864                     it1 += size;
<a name="l00865"></a>00865                     it1_size -= size;
<a name="l00866"></a>00866                     diff -= size;
<a name="l00867"></a>00867                 }
<a name="l00868"></a>00868                 size = (std::min) (- diff, it2_size);
<a name="l00869"></a>00869                 <span class="keywordflow">if</span> (size &gt; 0) {
<a name="l00870"></a>00870                     it2 += size;
<a name="l00871"></a>00871                     it2_size -= size;
<a name="l00872"></a>00872                     diff += size;
<a name="l00873"></a>00873                 }
<a name="l00874"></a>00874             }
<a name="l00875"></a>00875             difference_type size ((std::min) (it1_size, it2_size));
<a name="l00876"></a>00876             <span class="keywordflow">while</span> (-- size &gt;= 0)
<a name="l00877"></a>00877                 t += *it1 * *it2, ++ it1, ++ it2;
<a name="l00878"></a>00878             <span class="keywordflow">return</span> t;
<a name="l00879"></a>00879         }
<a name="l00880"></a>00880         <span class="comment">// Sparse case</span>
<a name="l00881"></a>00881         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l00882"></a>00882         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00883"></a>00883         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end,
<a name="l00884"></a>00884                            <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>) {
<a name="l00885"></a>00885             result_type t = result_type (0);
<a name="l00886"></a>00886             <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
<a name="l00887"></a>00887                 size_type it1_index = it1.index2 (), it2_index = it2.index ();
<a name="l00888"></a>00888                 <span class="keywordflow">while</span> (<span class="keyword">true</span>) {
<a name="l00889"></a>00889                     difference_type compare = it1_index - it2_index;
<a name="l00890"></a>00890                     <span class="keywordflow">if</span> (compare == 0) {
<a name="l00891"></a>00891                         t += *it1 * *it2, ++ it1, ++ it2;
<a name="l00892"></a>00892                         <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
<a name="l00893"></a>00893                             it1_index = it1.index2 ();
<a name="l00894"></a>00894                             it2_index = it2.index ();
<a name="l00895"></a>00895                         } <span class="keywordflow">else</span>
<a name="l00896"></a>00896                             <span class="keywordflow">break</span>;
<a name="l00897"></a>00897                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &lt; 0) {
<a name="l00898"></a>00898                         increment (it1, it1_end, - compare);
<a name="l00899"></a>00899                         <span class="keywordflow">if</span> (it1 != it1_end)
<a name="l00900"></a>00900                             it1_index = it1.index2 ();
<a name="l00901"></a>00901                         <span class="keywordflow">else</span>
<a name="l00902"></a>00902                             <span class="keywordflow">break</span>;
<a name="l00903"></a>00903                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &gt; 0) {
<a name="l00904"></a>00904                         increment (it2, it2_end, compare);
<a name="l00905"></a>00905                         <span class="keywordflow">if</span> (it2 != it2_end)
<a name="l00906"></a>00906                             it2_index = it2.index ();
<a name="l00907"></a>00907                         <span class="keywordflow">else</span>
<a name="l00908"></a>00908                             <span class="keywordflow">break</span>;
<a name="l00909"></a>00909                     }
<a name="l00910"></a>00910                 }
<a name="l00911"></a>00911             }
<a name="l00912"></a>00912             <span class="keywordflow">return</span> t;
<a name="l00913"></a>00913         }
<a name="l00914"></a>00914         <span class="comment">// Sparse packed case</span>
<a name="l00915"></a>00915         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l00916"></a>00916         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00917"></a>00917         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;<span class="comment">/* it2_end */</span>,
<a name="l00918"></a>00918                            <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>) {
<a name="l00919"></a>00919             result_type t = result_type (0);
<a name="l00920"></a>00920             <span class="keywordflow">while</span> (it1 != it1_end) {
<a name="l00921"></a>00921                 t += *it1 * it2 () (it1.index2 ());
<a name="l00922"></a>00922                 ++ it1;
<a name="l00923"></a>00923             }
<a name="l00924"></a>00924             <span class="keywordflow">return</span> t;
<a name="l00925"></a>00925         }
<a name="l00926"></a>00926         <span class="comment">// Packed sparse case</span>
<a name="l00927"></a>00927         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l00928"></a>00928         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00929"></a>00929         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;<span class="comment">/* it1_end */</span>, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end,
<a name="l00930"></a>00930                            <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>) {
<a name="l00931"></a>00931             result_type t = result_type (0);
<a name="l00932"></a>00932             <span class="keywordflow">while</span> (it2 != it2_end) {
<a name="l00933"></a>00933                 t += it1 () (it1.index1 (), it2.index ()) * *it2;
<a name="l00934"></a>00934                 ++ it2;
<a name="l00935"></a>00935             }
<a name="l00936"></a>00936             <span class="keywordflow">return</span> t;
<a name="l00937"></a>00937         }
<a name="l00938"></a>00938         <span class="comment">// Another dispatcher</span>
<a name="l00939"></a>00939         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l00940"></a>00940         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00941"></a>00941         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end,
<a name="l00942"></a>00942                            <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>) {
<a name="l00943"></a>00943             <span class="keyword">typedef</span> <span class="keyword">typename</span> I1::iterator_category iterator1_category;
<a name="l00944"></a>00944             <span class="keyword">typedef</span> <span class="keyword">typename</span> I2::iterator_category iterator2_category;
<a name="l00945"></a>00945             <span class="keywordflow">return</span> apply (it1, it1_end, it2, it2_end, iterator1_category (), iterator2_category ());
<a name="l00946"></a>00946         }
<a name="l00947"></a>00947     };
<a name="l00948"></a>00948 
<a name="l00949"></a>00949     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M1, <span class="keyword">class</span> M2, <span class="keyword">class</span> TV&gt;
<a name="l00950"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__prod2.html">00950</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__prod2.html">matrix_vector_prod2</a>:
<a name="l00951"></a>00951         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor</a>&lt;M1, M2, TV&gt; {
<a name="l00952"></a>00952         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor&lt;M1, M2, TV&gt;::size_type</a> size_type;
<a name="l00953"></a>00953         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor&lt;M1, M2, TV&gt;::difference_type</a> difference_type;
<a name="l00954"></a>00954         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor&lt;M1, M2, TV&gt;::value_type</a> value_type;
<a name="l00955"></a>00955         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__vector__binary__functor.html">matrix_vector_binary_functor&lt;M1, M2, TV&gt;::result_type</a> result_type;
<a name="l00956"></a>00956 
<a name="l00957"></a>00957         <span class="keyword">template</span>&lt;<span class="keyword">class</span> C1, <span class="keyword">class</span> C2&gt;
<a name="l00958"></a>00958         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00959"></a>00959         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__container.html" title="Base class for Vector container models.">vector_container&lt;C1&gt;</a> &amp;c1,
<a name="l00960"></a>00960                            <span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__container.html" title="Base class for Matrix container models.">matrix_container&lt;C2&gt;</a> &amp;c2,
<a name="l00961"></a>00961                            size_type i) {
<a name="l00962"></a>00962 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
<a name="l00963"></a>00963 <span class="preprocessor"></span>            <span class="keyword">using namespace </span>raw;
<a name="l00964"></a>00964             size_type size = BOOST_UBLAS_SAME (c1 ().size (), c2 ().size1 ());
<a name="l00965"></a>00965             <span class="keyword">const</span> <span class="keyword">typename</span> M1::value_type *data1 = data_const (c1 ());
<a name="l00966"></a>00966             <span class="keyword">const</span> <span class="keyword">typename</span> M2::value_type *data2 = data_const (c2 ()) + i * stride2 (c2 ());
<a name="l00967"></a>00967             size_type s1 = stride (c1 ());
<a name="l00968"></a>00968             size_type s2 = stride1 (c2 ());
<a name="l00969"></a>00969             result_type t = result_type (0);
<a name="l00970"></a>00970             <span class="keywordflow">if</span> (s1 == 1 &amp;&amp; s2 == 1) {
<a name="l00971"></a>00971                 <span class="keywordflow">for</span> (size_type j = 0; j &lt; size; ++ j)
<a name="l00972"></a>00972                     t += data1 [j] * data2 [j];
<a name="l00973"></a>00973             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s2 == 1) {
<a name="l00974"></a>00974                 <span class="keywordflow">for</span> (size_type j = 0, j1 = 0; j &lt; size; ++ j, j1 += s1)
<a name="l00975"></a>00975                     t += data1 [j1] * data2 [j];
<a name="l00976"></a>00976             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s1 == 1) {
<a name="l00977"></a>00977                 <span class="keywordflow">for</span> (size_type j = 0, j2 = 0; j &lt; size; ++ j, j2 += s2)
<a name="l00978"></a>00978                     t += data1 [j] * data2 [j2];
<a name="l00979"></a>00979             } <span class="keywordflow">else</span> {
<a name="l00980"></a>00980                 <span class="keywordflow">for</span> (size_type j = 0, j1 = 0, j2 = 0; j &lt; size; ++ j, j1 += s1, j2 += s2)
<a name="l00981"></a>00981                     t += data1 [j1] * data2 [j2];
<a name="l00982"></a>00982             }
<a name="l00983"></a>00983             <span class="keywordflow">return</span> t;
<a name="l00984"></a>00984 <span class="preprocessor">#elif defined(BOOST_UBLAS_HAVE_BINDINGS)</span>
<a name="l00985"></a>00985 <span class="preprocessor"></span>            <span class="keywordflow">return</span> boost::numeric::bindings::atlas::dot (c1 (), c2 ().column (i));
<a name="l00986"></a>00986 <span class="preprocessor">#else</span>
<a name="l00987"></a>00987 <span class="preprocessor"></span>            <span class="keywordflow">return</span> apply (<span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;C1&gt;</a> <span class="keyword">&gt;</span> (c1), <span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;C2&gt;</a> <span class="keyword">&gt;</span> (c2, i));
<a name="l00988"></a>00988 <span class="preprocessor">#endif</span>
<a name="l00989"></a>00989 <span class="preprocessor"></span>        }
<a name="l00990"></a>00990         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
<a name="l00991"></a>00991         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l00992"></a>00992         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1vector__expression.html" title="Base class for Vector Expression models.">vector_expression&lt;E1&gt;</a> &amp;e1,
<a name="l00993"></a>00993                            <span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;E2&gt;</a> &amp;e2,
<a name="l00994"></a>00994                            size_type i) {
<a name="l00995"></a>00995             size_type size = BOOST_UBLAS_SAME (e1 ().size (), e2 ().size1 ());
<a name="l00996"></a>00996             result_type t = result_type (0);
<a name="l00997"></a>00997 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
<a name="l00998"></a>00998 <span class="preprocessor"></span>            <span class="keywordflow">for</span> (size_type j = 0; j &lt; size; ++ j)
<a name="l00999"></a>00999                 t += e1 () (j) * e2 () (j, i);
<a name="l01000"></a>01000 <span class="preprocessor">#else</span>
<a name="l01001"></a>01001 <span class="preprocessor"></span>            size_type j (0);
<a name="l01002"></a>01002             DD (size, 4, r, (t += e1 () (j) * e2 () (j, i), ++ j));
<a name="l01003"></a>01003 <span class="preprocessor">#endif</span>
<a name="l01004"></a>01004 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
<a name="l01005"></a>01005         }
<a name="l01006"></a>01006         <span class="comment">// Dense case</span>
<a name="l01007"></a>01007         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l01008"></a>01008         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01009"></a>01009         result_type apply (difference_type size, I1 it1, I2 it2) {
<a name="l01010"></a>01010             result_type t = result_type (0);
<a name="l01011"></a>01011 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
<a name="l01012"></a>01012 <span class="preprocessor"></span>            <span class="keywordflow">while</span> (-- size &gt;= 0)
<a name="l01013"></a>01013                 t += *it1 * *it2, ++ it1, ++ it2;
<a name="l01014"></a>01014 <span class="preprocessor">#else</span>
<a name="l01015"></a>01015 <span class="preprocessor"></span>            DD (size, 4, r, (t += *it1 * *it2, ++ it1, ++ it2));
<a name="l01016"></a>01016 <span class="preprocessor">#endif</span>
<a name="l01017"></a>01017 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
<a name="l01018"></a>01018         }
<a name="l01019"></a>01019         <span class="comment">// Packed case</span>
<a name="l01020"></a>01020         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l01021"></a>01021         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01022"></a>01022         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end) {
<a name="l01023"></a>01023             result_type t = result_type (0);
<a name="l01024"></a>01024             difference_type it1_size (it1_end - it1);
<a name="l01025"></a>01025             difference_type it2_size (it2_end - it2);
<a name="l01026"></a>01026             difference_type diff (0);
<a name="l01027"></a>01027             <span class="keywordflow">if</span> (it1_size &gt; 0 &amp;&amp; it2_size &gt; 0)
<a name="l01028"></a>01028                 diff = it2.index1 () - it1.index ();
<a name="l01029"></a>01029             <span class="keywordflow">if</span> (diff != 0) {
<a name="l01030"></a>01030                 difference_type size = (std::min) (diff, it1_size);
<a name="l01031"></a>01031                 <span class="keywordflow">if</span> (size &gt; 0) {
<a name="l01032"></a>01032                     it1 += size;
<a name="l01033"></a>01033                     it1_size -= size;
<a name="l01034"></a>01034                     diff -= size;
<a name="l01035"></a>01035                 }
<a name="l01036"></a>01036                 size = (std::min) (- diff, it2_size);
<a name="l01037"></a>01037                 <span class="keywordflow">if</span> (size &gt; 0) {
<a name="l01038"></a>01038                     it2 += size;
<a name="l01039"></a>01039                     it2_size -= size;
<a name="l01040"></a>01040                     diff += size;
<a name="l01041"></a>01041                 }
<a name="l01042"></a>01042             }
<a name="l01043"></a>01043             difference_type size ((std::min) (it1_size, it2_size));
<a name="l01044"></a>01044             <span class="keywordflow">while</span> (-- size &gt;= 0)
<a name="l01045"></a>01045                 t += *it1 * *it2, ++ it1, ++ it2;
<a name="l01046"></a>01046             <span class="keywordflow">return</span> t;
<a name="l01047"></a>01047         }
<a name="l01048"></a>01048         <span class="comment">// Sparse case</span>
<a name="l01049"></a>01049         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l01050"></a>01050         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01051"></a>01051         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end,
<a name="l01052"></a>01052                            <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>) {
<a name="l01053"></a>01053             result_type t = result_type (0);
<a name="l01054"></a>01054             <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
<a name="l01055"></a>01055                 size_type it1_index = it1.index (), it2_index = it2.index1 ();
<a name="l01056"></a>01056                 <span class="keywordflow">while</span> (<span class="keyword">true</span>) {
<a name="l01057"></a>01057                     difference_type compare = it1_index - it2_index;
<a name="l01058"></a>01058                     <span class="keywordflow">if</span> (compare == 0) {
<a name="l01059"></a>01059                         t += *it1 * *it2, ++ it1, ++ it2;
<a name="l01060"></a>01060                         <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
<a name="l01061"></a>01061                             it1_index = it1.index ();
<a name="l01062"></a>01062                             it2_index = it2.index1 ();
<a name="l01063"></a>01063                         } <span class="keywordflow">else</span>
<a name="l01064"></a>01064                             <span class="keywordflow">break</span>;
<a name="l01065"></a>01065                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &lt; 0) {
<a name="l01066"></a>01066                         increment (it1, it1_end, - compare);
<a name="l01067"></a>01067                         <span class="keywordflow">if</span> (it1 != it1_end)
<a name="l01068"></a>01068                             it1_index = it1.index ();
<a name="l01069"></a>01069                         <span class="keywordflow">else</span>
<a name="l01070"></a>01070                             <span class="keywordflow">break</span>;
<a name="l01071"></a>01071                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &gt; 0) {
<a name="l01072"></a>01072                         increment (it2, it2_end, compare);
<a name="l01073"></a>01073                         <span class="keywordflow">if</span> (it2 != it2_end)
<a name="l01074"></a>01074                             it2_index = it2.index1 ();
<a name="l01075"></a>01075                         <span class="keywordflow">else</span>
<a name="l01076"></a>01076                             <span class="keywordflow">break</span>;
<a name="l01077"></a>01077                     }
<a name="l01078"></a>01078                 }
<a name="l01079"></a>01079             }
<a name="l01080"></a>01080             <span class="keywordflow">return</span> t;
<a name="l01081"></a>01081         }
<a name="l01082"></a>01082         <span class="comment">// Packed sparse case</span>
<a name="l01083"></a>01083         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l01084"></a>01084         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01085"></a>01085         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;<span class="comment">/* it1_end */</span>, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end,
<a name="l01086"></a>01086                            <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>) {
<a name="l01087"></a>01087             result_type t = result_type (0);
<a name="l01088"></a>01088             <span class="keywordflow">while</span> (it2 != it2_end) {
<a name="l01089"></a>01089                 t += it1 () (it2.index1 ()) * *it2;
<a name="l01090"></a>01090                 ++ it2;
<a name="l01091"></a>01091             }
<a name="l01092"></a>01092             <span class="keywordflow">return</span> t;
<a name="l01093"></a>01093         }
<a name="l01094"></a>01094         <span class="comment">// Sparse packed case</span>
<a name="l01095"></a>01095         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l01096"></a>01096         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01097"></a>01097         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;<span class="comment">/* it2_end */</span>,
<a name="l01098"></a>01098                            <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>) {
<a name="l01099"></a>01099             result_type t = result_type (0);
<a name="l01100"></a>01100             <span class="keywordflow">while</span> (it1 != it1_end) {
<a name="l01101"></a>01101                 t += *it1 * it2 () (it1.index (), it2.index2 ());
<a name="l01102"></a>01102                 ++ it1;
<a name="l01103"></a>01103             }
<a name="l01104"></a>01104             <span class="keywordflow">return</span> t;
<a name="l01105"></a>01105         }
<a name="l01106"></a>01106         <span class="comment">// Another dispatcher</span>
<a name="l01107"></a>01107         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l01108"></a>01108         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01109"></a>01109         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end,
<a name="l01110"></a>01110                            <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>) {
<a name="l01111"></a>01111             <span class="keyword">typedef</span> <span class="keyword">typename</span> I1::iterator_category iterator1_category;
<a name="l01112"></a>01112             <span class="keyword">typedef</span> <span class="keyword">typename</span> I2::iterator_category iterator2_category;
<a name="l01113"></a>01113             <span class="keywordflow">return</span> apply (it1, it1_end, it2, it2_end, iterator1_category (), iterator2_category ());
<a name="l01114"></a>01114         }
<a name="l01115"></a>01115     };
<a name="l01116"></a>01116 
<a name="l01117"></a>01117     <span class="comment">// Binary returning matrix</span>
<a name="l01118"></a>01118     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M1, <span class="keyword">class</span> M2, <span class="keyword">class</span> TV&gt;
<a name="l01119"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__matrix__binary__functor.html">01119</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__matrix__binary__functor.html">matrix_matrix_binary_functor</a> {
<a name="l01120"></a>01120         <span class="keyword">typedef</span> <span class="keyword">typename</span> M1::size_type size_type;
<a name="l01121"></a>01121         <span class="keyword">typedef</span> <span class="keyword">typename</span> M1::difference_type difference_type;
<a name="l01122"></a>01122         <span class="keyword">typedef</span> TV value_type;
<a name="l01123"></a>01123         <span class="keyword">typedef</span> TV result_type;
<a name="l01124"></a>01124     };
<a name="l01125"></a>01125 
<a name="l01126"></a>01126     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M1, <span class="keyword">class</span> M2, <span class="keyword">class</span> TV&gt;
<a name="l01127"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__matrix__prod.html">01127</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__matrix__prod.html">matrix_matrix_prod</a>:
<a name="l01128"></a>01128         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__matrix__binary__functor.html">matrix_matrix_binary_functor</a>&lt;M1, M2, TV&gt; {
<a name="l01129"></a>01129         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__matrix__binary__functor.html">matrix_matrix_binary_functor&lt;M1, M2, TV&gt;::size_type</a> size_type;
<a name="l01130"></a>01130         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__matrix__binary__functor.html">matrix_matrix_binary_functor&lt;M1, M2, TV&gt;::difference_type</a> difference_type;
<a name="l01131"></a>01131         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__matrix__binary__functor.html">matrix_matrix_binary_functor&lt;M1, M2, TV&gt;::value_type</a> value_type;
<a name="l01132"></a>01132         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__matrix__binary__functor.html">matrix_matrix_binary_functor&lt;M1, M2, TV&gt;::result_type</a> result_type;
<a name="l01133"></a>01133 
<a name="l01134"></a>01134         <span class="keyword">template</span>&lt;<span class="keyword">class</span> C1, <span class="keyword">class</span> C2&gt;
<a name="l01135"></a>01135         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01136"></a>01136         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__container.html" title="Base class for Matrix container models.">matrix_container&lt;C1&gt;</a> &amp;c1,
<a name="l01137"></a>01137                            <span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__container.html" title="Base class for Matrix container models.">matrix_container&lt;C2&gt;</a> &amp;c2,
<a name="l01138"></a>01138                            size_type i, size_type j) {
<a name="l01139"></a>01139 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
<a name="l01140"></a>01140 <span class="preprocessor"></span>            <span class="keyword">using namespace </span>raw;
<a name="l01141"></a>01141             size_type size = BOOST_UBLAS_SAME (c1 ().size2 (), c2 ().sizc1 ());
<a name="l01142"></a>01142             <span class="keyword">const</span> <span class="keyword">typename</span> M1::value_type *data1 = data_const (c1 ()) + i * stride1 (c1 ());
<a name="l01143"></a>01143             <span class="keyword">const</span> <span class="keyword">typename</span> M2::value_type *data2 = data_const (c2 ()) + j * stride2 (c2 ());
<a name="l01144"></a>01144             size_type s1 = stride2 (c1 ());
<a name="l01145"></a>01145             size_type s2 = stride1 (c2 ());
<a name="l01146"></a>01146             result_type t = result_type (0);
<a name="l01147"></a>01147             <span class="keywordflow">if</span> (s1 == 1 &amp;&amp; s2 == 1) {
<a name="l01148"></a>01148                 <span class="keywordflow">for</span> (size_type k = 0; k &lt; size; ++ k)
<a name="l01149"></a>01149                     t += data1 [k] * data2 [k];
<a name="l01150"></a>01150             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s2 == 1) {
<a name="l01151"></a>01151                 <span class="keywordflow">for</span> (size_type k = 0, k1 = 0; k &lt; size; ++ k, k1 += s1)
<a name="l01152"></a>01152                     t += data1 [k1] * data2 [k];
<a name="l01153"></a>01153             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s1 == 1) {
<a name="l01154"></a>01154                 <span class="keywordflow">for</span> (size_type k = 0, k2 = 0; k &lt; size; ++ k, k2 += s2)
<a name="l01155"></a>01155                     t += data1 [k] * data2 [k2];
<a name="l01156"></a>01156             } <span class="keywordflow">else</span> {
<a name="l01157"></a>01157                 <span class="keywordflow">for</span> (size_type k = 0, k1 = 0, k2 = 0; k &lt; size; ++ k, k1 += s1, k2 += s2)
<a name="l01158"></a>01158                     t += data1 [k1] * data2 [k2];
<a name="l01159"></a>01159             }
<a name="l01160"></a>01160             <span class="keywordflow">return</span> t;
<a name="l01161"></a>01161 <span class="preprocessor">#elif defined(BOOST_UBLAS_HAVE_BINDINGS)</span>
<a name="l01162"></a>01162 <span class="preprocessor"></span>            <span class="keywordflow">return</span> boost::numeric::bindings::atlas::dot (c1 ().row (i), c2 ().column (j));
<a name="l01163"></a>01163 <span class="preprocessor">#else</span>
<a name="l01164"></a>01164 <span class="preprocessor"></span>            <span class="keywordflow">return</span> apply (<span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;C1&gt;</a> <span class="keyword">&gt;</span> (c1), <span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;C2&gt;</a> <span class="keyword">&gt;</span> (c2, i));
<a name="l01165"></a>01165 <span class="preprocessor">#endif</span>
<a name="l01166"></a>01166 <span class="preprocessor"></span>        }
<a name="l01167"></a>01167         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
<a name="l01168"></a>01168         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01169"></a>01169         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;E1&gt;</a> &amp;e1,
<a name="l01170"></a>01170                            <span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;E2&gt;</a> &amp;e2,
<a name="l01171"></a>01171                            size_type i, size_type j) {
<a name="l01172"></a>01172             size_type size = BOOST_UBLAS_SAME (e1 ().size2 (), e2 ().size1 ());
<a name="l01173"></a>01173             result_type t = result_type (0);
<a name="l01174"></a>01174 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
<a name="l01175"></a>01175 <span class="preprocessor"></span>            <span class="keywordflow">for</span> (size_type k = 0; k &lt; size; ++ k)
<a name="l01176"></a>01176                 t += e1 () (i, k) * e2 () (k, j);
<a name="l01177"></a>01177 <span class="preprocessor">#else</span>
<a name="l01178"></a>01178 <span class="preprocessor"></span>            size_type k (0);
<a name="l01179"></a>01179             DD (size, 4, r, (t += e1 () (i, k) * e2 () (k, j), ++ k));
<a name="l01180"></a>01180 <span class="preprocessor">#endif</span>
<a name="l01181"></a>01181 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
<a name="l01182"></a>01182         }
<a name="l01183"></a>01183         <span class="comment">// Dense case</span>
<a name="l01184"></a>01184         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l01185"></a>01185         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01186"></a>01186         result_type apply (difference_type size, I1 it1, I2 it2) {
<a name="l01187"></a>01187             result_type t = result_type (0);
<a name="l01188"></a>01188 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
<a name="l01189"></a>01189 <span class="preprocessor"></span>            <span class="keywordflow">while</span> (-- size &gt;= 0)
<a name="l01190"></a>01190                 t += *it1 * *it2, ++ it1, ++ it2;
<a name="l01191"></a>01191 <span class="preprocessor">#else</span>
<a name="l01192"></a>01192 <span class="preprocessor"></span>            DD (size, 4, r, (t += *it1 * *it2, ++ it1, ++ it2));
<a name="l01193"></a>01193 <span class="preprocessor">#endif</span>
<a name="l01194"></a>01194 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
<a name="l01195"></a>01195         }
<a name="l01196"></a>01196         <span class="comment">// Packed case</span>
<a name="l01197"></a>01197         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l01198"></a>01198         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01199"></a>01199         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>) {
<a name="l01200"></a>01200             result_type t = result_type (0);
<a name="l01201"></a>01201             difference_type it1_size (it1_end - it1);
<a name="l01202"></a>01202             difference_type it2_size (it2_end - it2);
<a name="l01203"></a>01203             difference_type diff (0);
<a name="l01204"></a>01204             <span class="keywordflow">if</span> (it1_size &gt; 0 &amp;&amp; it2_size &gt; 0)
<a name="l01205"></a>01205                 diff = it2.index1 () - it1.index2 ();
<a name="l01206"></a>01206             <span class="keywordflow">if</span> (diff != 0) {
<a name="l01207"></a>01207                 difference_type size = (std::min) (diff, it1_size);
<a name="l01208"></a>01208                 <span class="keywordflow">if</span> (size &gt; 0) {
<a name="l01209"></a>01209                     it1 += size;
<a name="l01210"></a>01210                     it1_size -= size;
<a name="l01211"></a>01211                     diff -= size;
<a name="l01212"></a>01212                 }
<a name="l01213"></a>01213                 size = (std::min) (- diff, it2_size);
<a name="l01214"></a>01214                 <span class="keywordflow">if</span> (size &gt; 0) {
<a name="l01215"></a>01215                     it2 += size;
<a name="l01216"></a>01216                     it2_size -= size;
<a name="l01217"></a>01217                     diff += size;
<a name="l01218"></a>01218                 }
<a name="l01219"></a>01219             }
<a name="l01220"></a>01220             difference_type size ((std::min) (it1_size, it2_size));
<a name="l01221"></a>01221             <span class="keywordflow">while</span> (-- size &gt;= 0)
<a name="l01222"></a>01222                 t += *it1 * *it2, ++ it1, ++ it2;
<a name="l01223"></a>01223             <span class="keywordflow">return</span> t;
<a name="l01224"></a>01224         }
<a name="l01225"></a>01225         <span class="comment">// Sparse case</span>
<a name="l01226"></a>01226         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
<a name="l01227"></a>01227         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01228"></a>01228         result_type apply (I1 it1, <span class="keyword">const</span> I1 &amp;it1_end, I2 it2, <span class="keyword">const</span> I2 &amp;it2_end, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>) {
<a name="l01229"></a>01229             result_type t = result_type (0);
<a name="l01230"></a>01230             <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
<a name="l01231"></a>01231                 size_type it1_index = it1.index2 (), it2_index = it2.index1 ();
<a name="l01232"></a>01232                 <span class="keywordflow">while</span> (<span class="keyword">true</span>) {
<a name="l01233"></a>01233                     difference_type compare = difference_type (it1_index - it2_index);
<a name="l01234"></a>01234                     <span class="keywordflow">if</span> (compare == 0) {
<a name="l01235"></a>01235                         t += *it1 * *it2, ++ it1, ++ it2;
<a name="l01236"></a>01236                         <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
<a name="l01237"></a>01237                             it1_index = it1.index2 ();
<a name="l01238"></a>01238                             it2_index = it2.index1 ();
<a name="l01239"></a>01239                         } <span class="keywordflow">else</span>
<a name="l01240"></a>01240                             <span class="keywordflow">break</span>;
<a name="l01241"></a>01241                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &lt; 0) {
<a name="l01242"></a>01242                         increment (it1, it1_end, - compare);
<a name="l01243"></a>01243                         <span class="keywordflow">if</span> (it1 != it1_end)
<a name="l01244"></a>01244                             it1_index = it1.index2 ();
<a name="l01245"></a>01245                         <span class="keywordflow">else</span>
<a name="l01246"></a>01246                             <span class="keywordflow">break</span>;
<a name="l01247"></a>01247                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &gt; 0) {
<a name="l01248"></a>01248                         increment (it2, it2_end, compare);
<a name="l01249"></a>01249                         <span class="keywordflow">if</span> (it2 != it2_end)
<a name="l01250"></a>01250                             it2_index = it2.index1 ();
<a name="l01251"></a>01251                         <span class="keywordflow">else</span>
<a name="l01252"></a>01252                             <span class="keywordflow">break</span>;
<a name="l01253"></a>01253                     }
<a name="l01254"></a>01254                 }
<a name="l01255"></a>01255             }
<a name="l01256"></a>01256             <span class="keywordflow">return</span> t;
<a name="l01257"></a>01257         }
<a name="l01258"></a>01258     };
<a name="l01259"></a>01259 
<a name="l01260"></a>01260     <span class="comment">// Unary returning scalar norm</span>
<a name="l01261"></a>01261     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M&gt;
<a name="l01262"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">01262</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor</a> {
<a name="l01263"></a>01263         <span class="keyword">typedef</span> <span class="keyword">typename</span> M::value_type value_type;
<a name="l01264"></a>01264         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::real_type</a> real_type;
<a name="l01265"></a>01265         <span class="keyword">typedef</span> real_type result_type;
<a name="l01266"></a>01266     };
<a name="l01267"></a>01267 
<a name="l01268"></a>01268     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M&gt;
<a name="l01269"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__norm__1.html">01269</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__norm__1.html">matrix_norm_1</a>:
<a name="l01270"></a>01270         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor</a>&lt;M&gt; {
<a name="l01271"></a>01271         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor&lt;M&gt;::value_type</a> value_type;
<a name="l01272"></a>01272         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor&lt;M&gt;::real_type</a> real_type;
<a name="l01273"></a>01273         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor&lt;M&gt;::result_type</a> result_type;
<a name="l01274"></a>01274 
<a name="l01275"></a>01275         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
<a name="l01276"></a>01276         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01277"></a>01277         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;E&gt;</a> &amp;e) {
<a name="l01278"></a>01278             real_type t = real_type ();
<a name="l01279"></a>01279             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type matrix_size_type;
<a name="l01280"></a>01280             matrix_size_type size2 (e ().size2 ());
<a name="l01281"></a>01281             <span class="keywordflow">for</span> (matrix_size_type j = 0; j &lt; size2; ++ j) {
<a name="l01282"></a>01282                 real_type u = real_type ();
<a name="l01283"></a>01283                 matrix_size_type size1 (e ().size1 ());
<a name="l01284"></a>01284                 <span class="keywordflow">for</span> (matrix_size_type i = 0; i &lt; size1; ++ i) {
<a name="l01285"></a>01285                     real_type v (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_1</a> (e () (i, j)));
<a name="l01286"></a>01286                     u += v;
<a name="l01287"></a>01287                 }
<a name="l01288"></a>01288                 <span class="keywordflow">if</span> (u &gt; t)
<a name="l01289"></a>01289                     t = u;
<a name="l01290"></a>01290             }
<a name="l01291"></a>01291             <span class="keywordflow">return</span> t; 
<a name="l01292"></a>01292         }
<a name="l01293"></a>01293     };
<a name="l01294"></a>01294 
<a name="l01295"></a>01295     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M&gt;
<a name="l01296"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__norm__frobenius.html">01296</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__norm__frobenius.html">matrix_norm_frobenius</a>:
<a name="l01297"></a>01297         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor</a>&lt;M&gt; {
<a name="l01298"></a>01298         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor&lt;M&gt;::value_type</a> value_type;
<a name="l01299"></a>01299         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor&lt;M&gt;::real_type</a> real_type;
<a name="l01300"></a>01300         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor&lt;M&gt;::result_type</a> result_type;
<a name="l01301"></a>01301 
<a name="l01302"></a>01302         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
<a name="l01303"></a>01303         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01304"></a>01304         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;E&gt;</a> &amp;e) { 
<a name="l01305"></a>01305             real_type t = real_type ();
<a name="l01306"></a>01306             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type matrix_size_type;
<a name="l01307"></a>01307             matrix_size_type size1 (e ().size1 ());
<a name="l01308"></a>01308             <span class="keywordflow">for</span> (matrix_size_type i = 0; i &lt; size1; ++ i) {
<a name="l01309"></a>01309                 matrix_size_type size2 (e ().size2 ());
<a name="l01310"></a>01310                 <span class="keywordflow">for</span> (matrix_size_type j = 0; j &lt; size2; ++ j) {
<a name="l01311"></a>01311                     real_type u (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_2</a> (e () (i, j)));
<a name="l01312"></a>01312                     t +=  u * u;
<a name="l01313"></a>01313                 }
<a name="l01314"></a>01314             }
<a name="l01315"></a>01315             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;real_type&gt;::type_sqrt</a> (t); 
<a name="l01316"></a>01316         }
<a name="l01317"></a>01317     };
<a name="l01318"></a>01318 
<a name="l01319"></a>01319     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M&gt;
<a name="l01320"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__norm__inf.html">01320</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__norm__inf.html">matrix_norm_inf</a>: 
<a name="l01321"></a>01321         <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor</a>&lt;M&gt; {
<a name="l01322"></a>01322         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor&lt;M&gt;::value_type</a> value_type;
<a name="l01323"></a>01323         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor&lt;M&gt;::real_type</a> real_type;
<a name="l01324"></a>01324         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__scalar__real__unary__functor.html">matrix_scalar_real_unary_functor&lt;M&gt;::result_type</a> result_type;
<a name="l01325"></a>01325 
<a name="l01326"></a>01326         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
<a name="l01327"></a>01327         <span class="keyword">static</span> BOOST_UBLAS_INLINE
<a name="l01328"></a>01328         result_type apply (<span class="keyword">const</span> <a class="code" href="classboost_1_1numeric_1_1ublas_1_1matrix__expression.html" title="Base class for Matrix Expression models.">matrix_expression&lt;E&gt;</a> &amp;e) {
<a name="l01329"></a>01329             real_type t = real_type ();
<a name="l01330"></a>01330             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type matrix_size_type;
<a name="l01331"></a>01331             matrix_size_type size1 (e ().size1 ());
<a name="l01332"></a>01332             <span class="keywordflow">for</span> (matrix_size_type i = 0; i &lt; size1; ++ i) {
<a name="l01333"></a>01333                 real_type u = real_type ();
<a name="l01334"></a>01334                 matrix_size_type size2 (e ().size2 ());
<a name="l01335"></a>01335                 <span class="keywordflow">for</span> (matrix_size_type j = 0; j &lt; size2; ++ j) {
<a name="l01336"></a>01336                     real_type v (<a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits&lt;value_type&gt;::norm_inf</a> (e () (i, j)));
<a name="l01337"></a>01337                     u += v;
<a name="l01338"></a>01338                 }
<a name="l01339"></a>01339                 <span class="keywordflow">if</span> (u &gt; t) 
<a name="l01340"></a>01340                     t = u;  
<a name="l01341"></a>01341             }
<a name="l01342"></a>01342             <span class="keywordflow">return</span> t; 
<a name="l01343"></a>01343         }
<a name="l01344"></a>01344     };
<a name="l01345"></a>01345 
<a name="l01346"></a>01346     <span class="comment">// forward declaration</span>
<a name="l01347"></a>01347     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z, <span class="keyword">class</span> D&gt; <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__column__major.html">basic_column_major</a>;
<a name="l01348"></a>01348 
<a name="l01349"></a>01349     <span class="comment">// This functor defines storage layout and it&apos;s properties</span>
<a name="l01350"></a>01350     <span class="comment">// matrix (i,j) -&gt; storage [i * size_i + j]</span>
<a name="l01351"></a>01351     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z, <span class="keyword">class</span> D&gt;
<a name="l01352"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__row__major.html">01352</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__row__major.html">basic_row_major</a> {
<a name="l01353"></a>01353         <span class="keyword">typedef</span> Z size_type;
<a name="l01354"></a>01354         <span class="keyword">typedef</span> D difference_type;
<a name="l01355"></a>01355         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1row__major__tag.html">row_major_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1row__major__tag.html">orientation_category</a>;
<a name="l01356"></a>01356         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__column__major.html">basic_column_major&lt;Z,D&gt;</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__column__major.html">transposed_layout</a>;
<a name="l01357"></a>01357 
<a name="l01358"></a>01358         <span class="keyword">static</span>
<a name="l01359"></a>01359         BOOST_UBLAS_INLINE
<a name="l01360"></a>01360         size_type storage_size (size_type size_i, size_type size_j) {
<a name="l01361"></a>01361             <span class="comment">// Guard against size_type overflow</span>
<a name="l01362"></a>01362             BOOST_UBLAS_CHECK (size_j == 0 || size_i &lt;= (std::numeric_limits&lt;size_type&gt;::max) () / size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__size.html">bad_size</a> ());
<a name="l01363"></a>01363             <span class="keywordflow">return</span> size_i * size_j;
<a name="l01364"></a>01364         }
<a name="l01365"></a>01365 
<a name="l01366"></a>01366         <span class="comment">// Indexing conversion to storage element</span>
<a name="l01367"></a>01367         <span class="keyword">static</span>
<a name="l01368"></a>01368         BOOST_UBLAS_INLINE
<a name="l01369"></a>01369         size_type element (size_type i, size_type size_i, size_type j, size_type size_j) {
<a name="l01370"></a>01370             BOOST_UBLAS_CHECK (i &lt; size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01371"></a>01371             BOOST_UBLAS_CHECK (j &lt; size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01372"></a>01372             detail::ignore_unused_variable_warning(size_i);
<a name="l01373"></a>01373             <span class="comment">// Guard against size_type overflow</span>
<a name="l01374"></a>01374             BOOST_UBLAS_CHECK (i &lt;= ((std::numeric_limits&lt;size_type&gt;::max) () - j) / size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01375"></a>01375             <span class="keywordflow">return</span> i * size_j + j;
<a name="l01376"></a>01376         }
<a name="l01377"></a>01377         <span class="keyword">static</span>
<a name="l01378"></a>01378         BOOST_UBLAS_INLINE
<a name="l01379"></a>01379         size_type address (size_type i, size_type size_i, size_type j, size_type size_j) {
<a name="l01380"></a>01380             BOOST_UBLAS_CHECK (i &lt;= size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01381"></a>01381             BOOST_UBLAS_CHECK (j &lt;= size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01382"></a>01382             <span class="comment">// Guard against size_type overflow - address may be size_j past end of storage</span>
<a name="l01383"></a>01383             BOOST_UBLAS_CHECK (size_j == 0 || i &lt;= ((std::numeric_limits&lt;size_type&gt;::max) () - j) / size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01384"></a>01384             detail::ignore_unused_variable_warning(size_i);
<a name="l01385"></a>01385             <span class="keywordflow">return</span> i * size_j + j;
<a name="l01386"></a>01386         }
<a name="l01387"></a>01387 
<a name="l01388"></a>01388         <span class="comment">// Storage element to index conversion</span>
<a name="l01389"></a>01389         <span class="keyword">static</span>
<a name="l01390"></a>01390         BOOST_UBLAS_INLINE
<a name="l01391"></a>01391         difference_type distance_i (difference_type k, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
<a name="l01392"></a>01392             <span class="keywordflow">return</span> size_j != 0 ? k / size_j : 0;
<a name="l01393"></a>01393         }
<a name="l01394"></a>01394         <span class="keyword">static</span>
<a name="l01395"></a>01395         BOOST_UBLAS_INLINE
<a name="l01396"></a>01396         difference_type distance_j (difference_type k, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01397"></a>01397             <span class="keywordflow">return</span> k;
<a name="l01398"></a>01398         }
<a name="l01399"></a>01399         <span class="keyword">static</span>
<a name="l01400"></a>01400         BOOST_UBLAS_INLINE
<a name="l01401"></a>01401         size_type index_i (difference_type k, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
<a name="l01402"></a>01402             <span class="keywordflow">return</span> size_j != 0 ? k / size_j : 0;
<a name="l01403"></a>01403         }
<a name="l01404"></a>01404         <span class="keyword">static</span>
<a name="l01405"></a>01405         BOOST_UBLAS_INLINE
<a name="l01406"></a>01406         size_type index_j (difference_type k, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
<a name="l01407"></a>01407             <span class="keywordflow">return</span> size_j != 0 ? k % size_j : 0;
<a name="l01408"></a>01408         }
<a name="l01409"></a>01409         <span class="keyword">static</span>
<a name="l01410"></a>01410         BOOST_UBLAS_INLINE
<a name="l01411"></a>01411         <span class="keywordtype">bool</span> fast_i () {
<a name="l01412"></a>01412             <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l01413"></a>01413         }
<a name="l01414"></a>01414         <span class="keyword">static</span>
<a name="l01415"></a>01415         BOOST_UBLAS_INLINE
<a name="l01416"></a>01416         <span class="keywordtype">bool</span> fast_j () {
<a name="l01417"></a>01417             <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l01418"></a>01418         }
<a name="l01419"></a>01419 
<a name="l01420"></a>01420         <span class="comment">// Iterating storage elements</span>
<a name="l01421"></a>01421         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01422"></a>01422         <span class="keyword">static</span>
<a name="l01423"></a>01423         BOOST_UBLAS_INLINE
<a name="l01424"></a>01424         <span class="keywordtype">void</span> increment_i (I &amp;it, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
<a name="l01425"></a>01425             it += size_j;
<a name="l01426"></a>01426         }
<a name="l01427"></a>01427         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01428"></a>01428         <span class="keyword">static</span>
<a name="l01429"></a>01429         BOOST_UBLAS_INLINE
<a name="l01430"></a>01430         <span class="keywordtype">void</span> increment_i (I &amp;it, difference_type n, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
<a name="l01431"></a>01431             it += n * size_j;
<a name="l01432"></a>01432         }
<a name="l01433"></a>01433         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01434"></a>01434         <span class="keyword">static</span>
<a name="l01435"></a>01435         BOOST_UBLAS_INLINE
<a name="l01436"></a>01436         <span class="keywordtype">void</span> decrement_i (I &amp;it, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
<a name="l01437"></a>01437             it -= size_j;
<a name="l01438"></a>01438         }
<a name="l01439"></a>01439         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01440"></a>01440         <span class="keyword">static</span>
<a name="l01441"></a>01441         BOOST_UBLAS_INLINE
<a name="l01442"></a>01442         <span class="keywordtype">void</span> decrement_i (I &amp;it, difference_type n, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
<a name="l01443"></a>01443             it -= n * size_j;
<a name="l01444"></a>01444         }
<a name="l01445"></a>01445         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01446"></a>01446         <span class="keyword">static</span>
<a name="l01447"></a>01447         BOOST_UBLAS_INLINE
<a name="l01448"></a>01448         <span class="keywordtype">void</span> increment_j (I &amp;it, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01449"></a>01449             ++ it;
<a name="l01450"></a>01450         }
<a name="l01451"></a>01451         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01452"></a>01452         <span class="keyword">static</span>
<a name="l01453"></a>01453         BOOST_UBLAS_INLINE
<a name="l01454"></a>01454         <span class="keywordtype">void</span> increment_j (I &amp;it, difference_type n, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01455"></a>01455             it += n;
<a name="l01456"></a>01456         }
<a name="l01457"></a>01457         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01458"></a>01458         <span class="keyword">static</span>
<a name="l01459"></a>01459         BOOST_UBLAS_INLINE
<a name="l01460"></a>01460         <span class="keywordtype">void</span> decrement_j (I &amp;it, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01461"></a>01461             -- it;
<a name="l01462"></a>01462         }
<a name="l01463"></a>01463         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01464"></a>01464         <span class="keyword">static</span>
<a name="l01465"></a>01465         BOOST_UBLAS_INLINE
<a name="l01466"></a>01466         <span class="keywordtype">void</span> decrement_j (I &amp;it, difference_type n, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01467"></a>01467             it -= n;
<a name="l01468"></a>01468         }
<a name="l01469"></a>01469 
<a name="l01470"></a>01470         <span class="comment">// Triangular access</span>
<a name="l01471"></a>01471         <span class="keyword">static</span>
<a name="l01472"></a>01472         BOOST_UBLAS_INLINE
<a name="l01473"></a>01473         size_type triangular_size (size_type size_i, size_type size_j) {
<a name="l01474"></a>01474             size_type size = (std::max) (size_i, size_j);
<a name="l01475"></a>01475             <span class="comment">// Guard against size_type overflow - simplified</span>
<a name="l01476"></a>01476             BOOST_UBLAS_CHECK (size == 0 || size / 2 &lt; (std::numeric_limits&lt;size_type&gt;::max) () / size <span class="comment">/* +1/2 */</span>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__size.html">bad_size</a> ());
<a name="l01477"></a>01477             <span class="keywordflow">return</span> ((size + 1) * size) / 2;
<a name="l01478"></a>01478         }
<a name="l01479"></a>01479         <span class="keyword">static</span>
<a name="l01480"></a>01480         BOOST_UBLAS_INLINE
<a name="l01481"></a>01481         size_type lower_element (size_type i, size_type size_i, size_type j, size_type size_j) {
<a name="l01482"></a>01482             BOOST_UBLAS_CHECK (i &lt; size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01483"></a>01483             BOOST_UBLAS_CHECK (j &lt; size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01484"></a>01484             BOOST_UBLAS_CHECK (i &gt;= j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01485"></a>01485             detail::ignore_unused_variable_warning(size_i);
<a name="l01486"></a>01486             detail::ignore_unused_variable_warning(size_j);
<a name="l01487"></a>01487             <span class="comment">// FIXME size_type overflow</span>
<a name="l01488"></a>01488             <span class="comment">// sigma_i (i + 1) = (i + 1) * i / 2</span>
<a name="l01489"></a>01489             <span class="comment">// i = 0 1 2 3, sigma = 0 1 3 6</span>
<a name="l01490"></a>01490             <span class="keywordflow">return</span> ((i + 1) * i) / 2 + j;
<a name="l01491"></a>01491         }
<a name="l01492"></a>01492         <span class="keyword">static</span>
<a name="l01493"></a>01493         BOOST_UBLAS_INLINE
<a name="l01494"></a>01494         size_type upper_element (size_type i, size_type size_i, size_type j, size_type size_j) {
<a name="l01495"></a>01495             BOOST_UBLAS_CHECK (i &lt; size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01496"></a>01496             BOOST_UBLAS_CHECK (j &lt; size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01497"></a>01497             BOOST_UBLAS_CHECK (i &lt;= j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01498"></a>01498             <span class="comment">// FIXME size_type overflow</span>
<a name="l01499"></a>01499             <span class="comment">// sigma_i (size - i) = size * i - i * (i - 1) / 2</span>
<a name="l01500"></a>01500             <span class="comment">// i = 0 1 2 3, sigma = 0 4 7 9</span>
<a name="l01501"></a>01501             <span class="keywordflow">return</span> (i * (2 * (std::max) (size_i, size_j) - i + 1)) / 2 + j - i;
<a name="l01502"></a>01502         }
<a name="l01503"></a>01503 
<a name="l01504"></a>01504         <span class="comment">// Major and minor indices</span>
<a name="l01505"></a>01505         <span class="keyword">static</span>
<a name="l01506"></a>01506         BOOST_UBLAS_INLINE
<a name="l01507"></a>01507         size_type index_M (size_type index1, size_type <span class="comment">/* index2 */</span>) {
<a name="l01508"></a>01508             <span class="keywordflow">return</span> index1;
<a name="l01509"></a>01509         }
<a name="l01510"></a>01510         <span class="keyword">static</span>
<a name="l01511"></a>01511         BOOST_UBLAS_INLINE
<a name="l01512"></a>01512         size_type index_m (size_type <span class="comment">/* index1 */</span>, size_type index2) {
<a name="l01513"></a>01513             <span class="keywordflow">return</span> index2;
<a name="l01514"></a>01514         }
<a name="l01515"></a>01515         <span class="keyword">static</span>
<a name="l01516"></a>01516         BOOST_UBLAS_INLINE
<a name="l01517"></a>01517         size_type size_M (size_type size_i, size_type <span class="comment">/* size_j */</span>) {
<a name="l01518"></a>01518             <span class="keywordflow">return</span> size_i;
<a name="l01519"></a>01519         }
<a name="l01520"></a>01520         <span class="keyword">static</span>
<a name="l01521"></a>01521         BOOST_UBLAS_INLINE
<a name="l01522"></a>01522         size_type size_m (size_type <span class="comment">/* size_i */</span>, size_type size_j) {
<a name="l01523"></a>01523             <span class="keywordflow">return</span> size_j;
<a name="l01524"></a>01524         }
<a name="l01525"></a>01525     };
<a name="l01526"></a>01526 
<a name="l01527"></a>01527     <span class="comment">// This functor defines storage layout and it&apos;s properties</span>
<a name="l01528"></a>01528     <span class="comment">// matrix (i,j) -&gt; storage [i + j * size_i]</span>
<a name="l01529"></a>01529     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z, <span class="keyword">class</span> D&gt;
<a name="l01530"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__column__major.html">01530</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__column__major.html">basic_column_major</a> {
<a name="l01531"></a>01531         <span class="keyword">typedef</span> Z size_type;
<a name="l01532"></a>01532         <span class="keyword">typedef</span> D difference_type;
<a name="l01533"></a>01533         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1column__major__tag.html">column_major_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1column__major__tag.html">orientation_category</a>;
<a name="l01534"></a>01534         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__row__major.html">basic_row_major&lt;Z,D&gt;</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__row__major.html">transposed_layout</a>;
<a name="l01535"></a>01535 
<a name="l01536"></a>01536         <span class="keyword">static</span>
<a name="l01537"></a>01537         BOOST_UBLAS_INLINE
<a name="l01538"></a>01538         size_type storage_size (size_type size_i, size_type size_j) {
<a name="l01539"></a>01539             <span class="comment">// Guard against size_type overflow</span>
<a name="l01540"></a>01540             BOOST_UBLAS_CHECK (size_i == 0 || size_j &lt;= (std::numeric_limits&lt;size_type&gt;::max) () / size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__size.html">bad_size</a> ());
<a name="l01541"></a>01541             <span class="keywordflow">return</span> size_i * size_j;
<a name="l01542"></a>01542         }
<a name="l01543"></a>01543 
<a name="l01544"></a>01544         <span class="comment">// Indexing conversion to storage element</span>
<a name="l01545"></a>01545         <span class="keyword">static</span>
<a name="l01546"></a>01546         BOOST_UBLAS_INLINE
<a name="l01547"></a>01547         size_type element (size_type i, size_type size_i, size_type j, size_type size_j) {
<a name="l01548"></a>01548             BOOST_UBLAS_CHECK (i &lt; size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01549"></a>01549             BOOST_UBLAS_CHECK (j &lt; size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01550"></a>01550             detail::ignore_unused_variable_warning(size_j);
<a name="l01551"></a>01551             <span class="comment">// Guard against size_type overflow</span>
<a name="l01552"></a>01552             BOOST_UBLAS_CHECK (j &lt;= ((std::numeric_limits&lt;size_type&gt;::max) () - i) / size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01553"></a>01553             <span class="keywordflow">return</span> i + j * size_i;
<a name="l01554"></a>01554         }
<a name="l01555"></a>01555         <span class="keyword">static</span>
<a name="l01556"></a>01556         BOOST_UBLAS_INLINE
<a name="l01557"></a>01557         size_type address (size_type i, size_type size_i, size_type j, size_type size_j) {
<a name="l01558"></a>01558             BOOST_UBLAS_CHECK (i &lt;= size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01559"></a>01559             BOOST_UBLAS_CHECK (j &lt;= size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01560"></a>01560             detail::ignore_unused_variable_warning(size_j);
<a name="l01561"></a>01561             <span class="comment">// Guard against size_type overflow - address may be size_i past end of storage</span>
<a name="l01562"></a>01562             BOOST_UBLAS_CHECK (size_i == 0 || j &lt;= ((std::numeric_limits&lt;size_type&gt;::max) () - i) / size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
<a name="l01563"></a>01563             <span class="keywordflow">return</span> i + j * size_i;
<a name="l01564"></a>01564         }
<a name="l01565"></a>01565 
<a name="l01566"></a>01566         <span class="comment">// Storage element to index conversion</span>
<a name="l01567"></a>01567         <span class="keyword">static</span>
<a name="l01568"></a>01568         BOOST_UBLAS_INLINE
<a name="l01569"></a>01569         difference_type distance_i (difference_type k, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01570"></a>01570             <span class="keywordflow">return</span> k;
<a name="l01571"></a>01571         }
<a name="l01572"></a>01572         <span class="keyword">static</span>
<a name="l01573"></a>01573         BOOST_UBLAS_INLINE
<a name="l01574"></a>01574         difference_type distance_j (difference_type k, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
<a name="l01575"></a>01575             <span class="keywordflow">return</span> size_i != 0 ? k / size_i : 0;
<a name="l01576"></a>01576         }
<a name="l01577"></a>01577         <span class="keyword">static</span>
<a name="l01578"></a>01578         BOOST_UBLAS_INLINE
<a name="l01579"></a>01579         size_type index_i (difference_type k, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
<a name="l01580"></a>01580             <span class="keywordflow">return</span> size_i != 0 ? k % size_i : 0;
<a name="l01581"></a>01581         }
<a name="l01582"></a>01582         <span class="keyword">static</span>
<a name="l01583"></a>01583         BOOST_UBLAS_INLINE
<a name="l01584"></a>01584         size_type index_j (difference_type k, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
<a name="l01585"></a>01585             <span class="keywordflow">return</span> size_i != 0 ? k / size_i : 0;
<a name="l01586"></a>01586         }
<a name="l01587"></a>01587         <span class="keyword">static</span>
<a name="l01588"></a>01588         BOOST_UBLAS_INLINE
<a name="l01589"></a>01589         <span class="keywordtype">bool</span> fast_i () {
<a name="l01590"></a>01590             <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l01591"></a>01591         }
<a name="l01592"></a>01592         <span class="keyword">static</span>
<a name="l01593"></a>01593         BOOST_UBLAS_INLINE
<a name="l01594"></a>01594         <span class="keywordtype">bool</span> fast_j () {
<a name="l01595"></a>01595             <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l01596"></a>01596         }
<a name="l01597"></a>01597 
<a name="l01598"></a>01598         <span class="comment">// Iterating</span>
<a name="l01599"></a>01599         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01600"></a>01600         <span class="keyword">static</span>
<a name="l01601"></a>01601         BOOST_UBLAS_INLINE
<a name="l01602"></a>01602         <span class="keywordtype">void</span> increment_i (I &amp;it, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01603"></a>01603             ++ it;
<a name="l01604"></a>01604         }
<a name="l01605"></a>01605         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01606"></a>01606         <span class="keyword">static</span>
<a name="l01607"></a>01607         BOOST_UBLAS_INLINE
<a name="l01608"></a>01608         <span class="keywordtype">void</span> increment_i (I &amp;it, difference_type n, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01609"></a>01609             it += n;
<a name="l01610"></a>01610         }
<a name="l01611"></a>01611         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01612"></a>01612         <span class="keyword">static</span>
<a name="l01613"></a>01613         BOOST_UBLAS_INLINE
<a name="l01614"></a>01614         <span class="keywordtype">void</span> decrement_i (I &amp;it, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01615"></a>01615             -- it;
<a name="l01616"></a>01616         }
<a name="l01617"></a>01617         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01618"></a>01618         <span class="keyword">static</span>
<a name="l01619"></a>01619         BOOST_UBLAS_INLINE
<a name="l01620"></a>01620         <span class="keywordtype">void</span> decrement_i (I &amp;it, difference_type n, size_type <span class="comment">/* size_i */</span>, size_type <span class="comment">/* size_j */</span>) {
<a name="l01621"></a>01621             it -= n;
<a name="l01622"></a>01622         }
<a name="l01623"></a>01623         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01624"></a>01624         <span class="keyword">static</span>
<a name="l01625"></a>01625         BOOST_UBLAS_INLINE
<a name="l01626"></a>01626         <span class="keywordtype">void</span> increment_j (I &amp;it, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
<a name="l01627"></a>01627             it += size_i;
<a name="l01628"></a>01628         }
<a name="l01629"></a>01629         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01630"></a>01630         <span class="keyword">static</span>
<a name="l01631"></a>01631         BOOST_UBLAS_INLINE
<a name="l01632"></a>01632         <span class="keywordtype">void</span> increment_j (I &amp;it, difference_type n, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
<a name="l01633"></a>01633             it += n * size_i;
<a name="l01634"></a>01634         }
<a name="l01635"></a>01635         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01636"></a>01636         <span class="keyword">static</span>
<a name="l01637"></a>01637         BOOST_UBLAS_INLINE
<a name="l01638"></a>01638         <span class="keywordtype">void</span> decrement_j (I &amp;it, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
<a name="l01639"></a>01639             it -= size_i;
<a name="l01640"></a>01640         }
<a name="l01641"></a>01641         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
<a name="l01642"></a>01642         <span class="keyword">static</span>
<a name="l01643"></a>01643         BOOST_UBLAS_INLINE
<a name="l01644"></a>01644         <span class="keywordtype">void</span> decrement_j (I &amp;it, difference_type n, size_type size_i, size_type <