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  25. <h1>functional.hpp</h1><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">//</span>
    26. 

  26. <a name="l00002"></a>00002 <span class="comment">//  Copyright (c) 2000-2009</span>
    27. 

  27. <a name="l00003"></a>00003 <span class="comment">//  Joerg Walter, Mathias Koch, Gunter Winkler</span>
    28. 

  28. <a name="l00004"></a>00004 <span class="comment">//</span>
    29. 

  29. <a name="l00005"></a>00005 <span class="comment">//  Distributed under the Boost Software License, Version 1.0. (See</span>
    30. 

  30. <a name="l00006"></a>00006 <span class="comment">//  accompanying file LICENSE_1_0.txt or copy at</span>
    31. 

  31. <a name="l00007"></a>00007 <span class="comment">//  http://www.boost.org/LICENSE_1_0.txt)</span>
    32. 

  32. <a name="l00008"></a>00008 <span class="comment">//</span>
    33. 

  33. <a name="l00009"></a>00009 <span class="comment">//  The authors gratefully acknowledge the support of</span>
    34. 

  34. <a name="l00010"></a>00010 <span class="comment">//  GeNeSys mbH &amp; Co. KG in producing this work.</span>
    35. 

  35. <a name="l00011"></a>00011 <span class="comment">//</span>
    36. 

  36. <a name="l00012"></a>00012 
    37. 

  37. <a name="l00013"></a>00013 <span class="preprocessor">#ifndef _BOOST_UBLAS_FUNCTIONAL_</span>
    38. 

  38. <a name="l00014"></a>00014 <span class="preprocessor"></span><span class="preprocessor">#define _BOOST_UBLAS_FUNCTIONAL_</span>
    39. 

  39. <a name="l00015"></a>00015 <span class="preprocessor"></span>
    40. 

  40. <a name="l00016"></a>00016 <span class="preprocessor">#include &lt;functional&gt;</span>
    41. 

  41. <a name="l00017"></a>00017 
    42. 

  42. <a name="l00018"></a>00018 <span class="preprocessor">#include &lt;boost/numeric/ublas/traits.hpp&gt;</span>
    43. 

  43. <a name="l00019"></a>00019 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_DUFF_DEVICE</span>
    44. 

  44. <a name="l00020"></a>00020 <span class="preprocessor"></span><span class="preprocessor">#include &lt;boost/numeric/ublas/detail/duff.hpp&gt;</span>
    45. 

  45. <a name="l00021"></a>00021 <span class="preprocessor">#endif</span>
    46. 

  46. <a name="l00022"></a>00022 <span class="preprocessor"></span><span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
    47. 

  47. <a name="l00023"></a>00023 <span class="preprocessor"></span><span class="preprocessor">#include &lt;boost/numeric/ublas/detail/raw.hpp&gt;</span>
    48. 

  48. <a name="l00024"></a>00024 <span class="preprocessor">#else</span>
    49. 

  49. <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 {
    50. 

  50. <a name="l00026"></a>00026 }}}}
    51. 

  51. <a name="l00027"></a>00027 <span class="preprocessor">#endif</span>
    52. 

  52. <a name="l00028"></a>00028 <span class="preprocessor"></span><span class="preprocessor">#ifdef BOOST_UBLAS_HAVE_BINDINGS</span>
    53. 

  53. <a name="l00029"></a>00029 <span class="preprocessor"></span><span class="preprocessor">#include &lt;boost/numeric/bindings/traits/std_vector.hpp&gt;</span>
    54. 

  54. <a name="l00030"></a>00030 <span class="preprocessor">#include &lt;boost/numeric/bindings/traits/ublas_vector.hpp&gt;</span>
    55. 

  55. <a name="l00031"></a>00031 <span class="preprocessor">#include &lt;boost/numeric/bindings/traits/ublas_matrix.hpp&gt;</span>
    56. 

  56. <a name="l00032"></a>00032 <span class="preprocessor">#include &lt;boost/numeric/bindings/atlas/cblas.hpp&gt;</span>
    57. 

  57. <a name="l00033"></a>00033 <span class="preprocessor">#endif</span>
    58. 

  58. <a name="l00034"></a>00034 <span class="preprocessor"></span>
    59. 

  59. <a name="l00035"></a>00035 <span class="preprocessor">#include &lt;boost/numeric/ublas/detail/definitions.hpp&gt;</span>
    60. 

  60. <a name="l00036"></a>00036 
    61. 

  61. <a name="l00037"></a>00037 
    62. 

  62. <a name="l00038"></a>00038 
    63. 

  63. <a name="l00039"></a>00039 <span class="keyword">namespace </span>boost { <span class="keyword">namespace </span>numeric { <span class="keyword">namespace </span>ublas {
    64. 

  64. <a name="l00040"></a>00040 
    65. 

  65. <a name="l00041"></a>00041     <span class="comment">// Scalar functors</span>
    66. 

  66. <a name="l00042"></a>00042 
    67. 

  67. <a name="l00043"></a>00043     <span class="comment">// Unary</span>
    68. 

  68. <a name="l00044"></a>00044     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
    69. 

  69. <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> {
    70. 

  70. <a name="l00046"></a>00046         <span class="keyword">typedef</span> T value_type;
    71. 

  71. <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;
    72. 

  72. <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;
    73. 

  73. <a name="l00049"></a>00049     };
    74. 

  74. <a name="l00050"></a>00050 
    75. 

  75. <a name="l00051"></a>00051     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
    76. 

  76. <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>:
    77. 

  77. <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; {
    78. 

  78. <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;
    79. 

  79. <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;
    80. 

  80. <a name="l00056"></a>00056 
    81. 

  81. <a name="l00057"></a>00057         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    82. 

  82. <a name="l00058"></a>00058         result_type apply (argument_type t) {
    83. 

  83. <a name="l00059"></a>00059             <span class="keywordflow">return</span> t;
    84. 

  84. <a name="l00060"></a>00060         }
    85. 

  85. <a name="l00061"></a>00061     };
    86. 

  86. <a name="l00062"></a>00062     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
    87. 

  87. <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>:
    88. 

  88. <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; {
    89. 

  89. <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;
    90. 

  90. <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;
    91. 

  91. <a name="l00067"></a>00067 
    92. 

  92. <a name="l00068"></a>00068         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    93. 

  93. <a name="l00069"></a>00069         result_type apply (argument_type t) {
    94. 

  94. <a name="l00070"></a>00070             <span class="keywordflow">return</span> - t;
    95. 

  95. <a name="l00071"></a>00071         }
    96. 

  96. <a name="l00072"></a>00072     };
    97. 

  97. <a name="l00073"></a>00073     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
    98. 

  98. <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>:
    99. 

  99. <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; {
    100. 

  100. <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;
    101. 

  101. <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;
    102. 

  102. <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;
    103. 

  103. <a name="l00079"></a>00079 
    104. 

  104. <a name="l00080"></a>00080         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    105. 

  105. <a name="l00081"></a>00081         result_type apply (argument_type t) {
    106. 

  106. <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);
    107. 

  107. <a name="l00083"></a>00083         }
    108. 

  108. <a name="l00084"></a>00084     };
    109. 

  109. <a name="l00085"></a>00085 
    110. 

  110. <a name="l00086"></a>00086     <span class="comment">// Unary returning real</span>
    111. 

  111. <a name="l00087"></a>00087     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
    112. 

  112. <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> {
    113. 

  113. <a name="l00089"></a>00089         <span class="keyword">typedef</span> T value_type;
    114. 

  114. <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;
    115. 

  115. <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;
    116. 

  116. <a name="l00092"></a>00092     };
    117. 

  117. <a name="l00093"></a>00093 
    118. 

  118. <a name="l00094"></a>00094     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
    119. 

  119. <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>:
    120. 

  120. <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; {
    121. 

  121. <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;
    122. 

  122. <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;
    123. 

  123. <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;
    124. 

  124. <a name="l00100"></a>00100 
    125. 

  125. <a name="l00101"></a>00101         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    126. 

  126. <a name="l00102"></a>00102         result_type apply (argument_type t) {
    127. 

  127. <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);
    128. 

  128. <a name="l00104"></a>00104         }
    129. 

  129. <a name="l00105"></a>00105     };
    130. 

  130. <a name="l00106"></a>00106     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
    131. 

  131. <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>:
    132. 

  132. <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; {
    133. 

  133. <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;
    134. 

  134. <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;
    135. 

  135. <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;
    136. 

  136. <a name="l00112"></a>00112 
    137. 

  137. <a name="l00113"></a>00113         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    138. 

  138. <a name="l00114"></a>00114         result_type apply (argument_type t) {
    139. 

  139. <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);
    140. 

  140. <a name="l00116"></a>00116         }
    141. 

  141. <a name="l00117"></a>00117     };
    142. 

  142. <a name="l00118"></a>00118 
    143. 

  143. <a name="l00119"></a>00119     <span class="comment">// Binary</span>
    144. 

  144. <a name="l00120"></a>00120     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    145. 

  145. <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> {
    146. 

  146. <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;
    147. 

  147. <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;
    148. 

  148. <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;
    149. 

  149. <a name="l00125"></a>00125     };
    150. 

  150. <a name="l00126"></a>00126 
    151. 

  151. <a name="l00127"></a>00127     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    152. 

  152. <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>:
    153. 

  153. <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; {
    154. 

  154. <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;
    155. 

  155. <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;
    156. 

  156. <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;
    157. 

  157. <a name="l00133"></a>00133 
    158. 

  158. <a name="l00134"></a>00134         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    159. 

  159. <a name="l00135"></a>00135         result_type apply (argument1_type t1, argument2_type t2) {
    160. 

  160. <a name="l00136"></a>00136             <span class="keywordflow">return</span> t1 + t2;
    161. 

  161. <a name="l00137"></a>00137         }
    162. 

  162. <a name="l00138"></a>00138     };
    163. 

  163. <a name="l00139"></a>00139     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    164. 

  164. <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>:
    165. 

  165. <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; {
    166. 

  166. <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;
    167. 

  167. <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;
    168. 

  168. <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;
    169. 

  169. <a name="l00145"></a>00145 
    170. 

  170. <a name="l00146"></a>00146         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    171. 

  171. <a name="l00147"></a>00147         result_type apply (argument1_type t1, argument2_type t2) {
    172. 

  172. <a name="l00148"></a>00148             <span class="keywordflow">return</span> t1 - t2;
    173. 

  173. <a name="l00149"></a>00149         }
    174. 

  174. <a name="l00150"></a>00150     };
    175. 

  175. <a name="l00151"></a>00151     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    176. 

  176. <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>:
    177. 

  177. <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; {
    178. 

  178. <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;
    179. 

  179. <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;
    180. 

  180. <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;
    181. 

  181. <a name="l00157"></a>00157 
    182. 

  182. <a name="l00158"></a>00158         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    183. 

  183. <a name="l00159"></a>00159         result_type apply (argument1_type t1, argument2_type t2) {
    184. 

  184. <a name="l00160"></a>00160             <span class="keywordflow">return</span> t1 * t2;
    185. 

  185. <a name="l00161"></a>00161         }
    186. 

  186. <a name="l00162"></a>00162     };
    187. 

  187. <a name="l00163"></a>00163     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    188. 

  188. <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>:
    189. 

  189. <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; {
    190. 

  190. <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;
    191. 

  191. <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;
    192. 

  192. <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;
    193. 

  193. <a name="l00169"></a>00169 
    194. 

  194. <a name="l00170"></a>00170         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    195. 

  195. <a name="l00171"></a>00171         result_type apply (argument1_type t1, argument2_type t2) {
    196. 

  196. <a name="l00172"></a>00172             <span class="keywordflow">return</span> t1 / t2;
    197. 

  197. <a name="l00173"></a>00173         }
    198. 

  198. <a name="l00174"></a>00174     };
    199. 

  199. <a name="l00175"></a>00175 
    200. 

  200. <a name="l00176"></a>00176     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    201. 

  201. <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> {
    202. 

  202. <a name="l00178"></a>00178         <span class="comment">// ISSUE Remove reference to avoid reference to reference problems</span>
    203. 

  203. <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;
    204. 

  204. <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;
    205. 

  205. <a name="l00181"></a>00181     };
    206. 

  206. <a name="l00182"></a>00182 
    207. 

  207. <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> {};
    208. 

  208. <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> {};
    209. 

  209. <a name="l00185"></a>00185 
    210. 

  210. <a name="l00186"></a>00186     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    211. 

  211. <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>:
    212. 

  212. <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; {
    213. 

  213. <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;
    214. 

  214. <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;
    215. 

  215. <a name="l00191"></a>00191 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
    216. 

  216. <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 ;
    217. 

  217. <a name="l00193"></a>00193 <span class="preprocessor">#else</span>
    218. 

  218. <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 ;
    219. 

  219. <a name="l00195"></a>00195 <span class="preprocessor">#endif</span>
    220. 

  220. <a name="l00196"></a>00196 <span class="preprocessor"></span>
    221. 

  221. <a name="l00197"></a>00197         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    222. 

  222. <a name="l00198"></a>00198         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
    223. 

  223. <a name="l00199"></a>00199             t1 = t2;
    224. 

  224. <a name="l00200"></a>00200         }
    225. 

  225. <a name="l00201"></a>00201 
    226. 

  226. <a name="l00202"></a>00202         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
    227. 

  227. <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> {
    228. 

  228. <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>;
    229. 

  229. <a name="l00205"></a>00205         };
    230. 

  230. <a name="l00206"></a>00206     };
    231. 

  231. <a name="l00207"></a>00207 
    232. 

  232. <a name="l00208"></a>00208 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
    233. 

  233. <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;
    234. 

  234. <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>;
    235. 

  235. <a name="l00211"></a>00211 <span class="preprocessor">#endif</span>
    236. 

  236. <a name="l00212"></a>00212 <span class="preprocessor"></span>
    237. 

  237. <a name="l00213"></a>00213     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    238. 

  238. <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>:
    239. 

  239. <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; {
    240. 

  240. <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;
    241. 

  241. <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;
    242. 

  242. <a name="l00218"></a>00218 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
    243. 

  243. <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 ;
    244. 

  244. <a name="l00220"></a>00220 <span class="preprocessor">#else</span>
    245. 

  245. <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 ;
    246. 

  246. <a name="l00222"></a>00222 <span class="preprocessor">#endif</span>
    247. 

  247. <a name="l00223"></a>00223 <span class="preprocessor"></span>
    248. 

  248. <a name="l00224"></a>00224         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    249. 

  249. <a name="l00225"></a>00225         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
    250. 

  250. <a name="l00226"></a>00226             t1 += t2;
    251. 

  251. <a name="l00227"></a>00227         }
    252. 

  252. <a name="l00228"></a>00228 
    253. 

  253. <a name="l00229"></a>00229         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
    254. 

  254. <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> {
    255. 

  255. <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>;
    256. 

  256. <a name="l00232"></a>00232         };
    257. 

  257. <a name="l00233"></a>00233     };
    258. 

  258. <a name="l00234"></a>00234 
    259. 

  259. <a name="l00235"></a>00235 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
    260. 

  260. <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;
    261. 

  261. <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>;
    262. 

  262. <a name="l00238"></a>00238 <span class="preprocessor">#endif</span>
    263. 

  263. <a name="l00239"></a>00239 <span class="preprocessor"></span>
    264. 

  264. <a name="l00240"></a>00240     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    265. 

  265. <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>:
    266. 

  266. <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; {
    267. 

  267. <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;
    268. 

  268. <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;
    269. 

  269. <a name="l00245"></a>00245 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
    270. 

  270. <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 ;
    271. 

  271. <a name="l00247"></a>00247 <span class="preprocessor">#else</span>
    272. 

  272. <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 ;
    273. 

  273. <a name="l00249"></a>00249 <span class="preprocessor">#endif</span>
    274. 

  274. <a name="l00250"></a>00250 <span class="preprocessor"></span>
    275. 

  275. <a name="l00251"></a>00251         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    276. 

  276. <a name="l00252"></a>00252         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
    277. 

  277. <a name="l00253"></a>00253             t1 -= t2;
    278. 

  278. <a name="l00254"></a>00254         }
    279. 

  279. <a name="l00255"></a>00255 
    280. 

  280. <a name="l00256"></a>00256         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
    281. 

  281. <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> {
    282. 

  282. <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>;
    283. 

  283. <a name="l00259"></a>00259         };
    284. 

  284. <a name="l00260"></a>00260     };
    285. 

  285. <a name="l00261"></a>00261 
    286. 

  286. <a name="l00262"></a>00262 <span class="preprocessor">#if BOOST_WORKAROUND( __IBMCPP__, &lt;=600 )</span>
    287. 

  287. <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;
    288. 

  288. <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>;
    289. 

  289. <a name="l00265"></a>00265 <span class="preprocessor">#endif</span>
    290. 

  290. <a name="l00266"></a>00266 <span class="preprocessor"></span>
    291. 

  291. <a name="l00267"></a>00267     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    292. 

  292. <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>:
    293. 

  293. <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; {
    294. 

  294. <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;
    295. 

  295. <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;
    296. 

  296. <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>;
    297. 

  297. <a name="l00273"></a>00273 
    298. 

  298. <a name="l00274"></a>00274         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    299. 

  299. <a name="l00275"></a>00275         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
    300. 

  300. <a name="l00276"></a>00276             t1 *= t2;
    301. 

  301. <a name="l00277"></a>00277         }
    302. 

  302. <a name="l00278"></a>00278 
    303. 

  303. <a name="l00279"></a>00279         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
    304. 

  304. <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> {
    305. 

  305. <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>;
    306. 

  306. <a name="l00282"></a>00282         };
    307. 

  307. <a name="l00283"></a>00283     };
    308. 

  308. <a name="l00284"></a>00284     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    309. 

  309. <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>:
    310. 

  310. <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; {
    311. 

  311. <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;
    312. 

  312. <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;
    313. 

  313. <a name="l00289"></a>00289         <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> computed ;
    314. 

  314. <a name="l00290"></a>00290 
    315. 

  315. <a name="l00291"></a>00291         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    316. 

  316. <a name="l00292"></a>00292         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
    317. 

  317. <a name="l00293"></a>00293             t1 /= t2;
    318. 

  318. <a name="l00294"></a>00294         }
    319. 

  319. <a name="l00295"></a>00295 
    320. 

  320. <a name="l00296"></a>00296         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
    321. 

  321. <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> {
    322. 

  322. <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>;
    323. 

  323. <a name="l00299"></a>00299         };
    324. 

  324. <a name="l00300"></a>00300     };
    325. 

  325. <a name="l00301"></a>00301     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    326. 

  326. <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>;
    327. 

  327. <a name="l00303"></a>00303 
    328. 

  328. <a name="l00304"></a>00304     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    329. 

  329. <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> {
    330. 

  330. <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;
    331. 

  331. <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;
    332. 

  332. <a name="l00308"></a>00308     };
    333. 

  333. <a name="l00309"></a>00309 
    334. 

  334. <a name="l00310"></a>00310     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
    335. 

  335. <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>:
    336. 

  336. <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; {
    337. 

  337. <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;
    338. 

  338. <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;
    339. 

  339. <a name="l00315"></a>00315 
    340. 

  340. <a name="l00316"></a>00316         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    341. 

  341. <a name="l00317"></a>00317         <span class="keywordtype">void</span> apply (argument1_type t1, argument2_type t2) {
    342. 

  342. <a name="l00318"></a>00318             std::swap (t1, t2);
    343. 

  343. <a name="l00319"></a>00319         }
    344. 

  344. <a name="l00320"></a>00320 
    345. 

  345. <a name="l00321"></a>00321         <span class="keyword">template</span>&lt;<span class="keyword">class</span> U1, <span class="keyword">class</span> U2&gt;
    346. 

  346. <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> {
    347. 

  347. <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>;
    348. 

  348. <a name="l00324"></a>00324         };
    349. 

  349. <a name="l00325"></a>00325     };
    350. 

  350. <a name="l00326"></a>00326 
    351. 

  351. <a name="l00327"></a>00327     <span class="comment">// Vector functors</span>
    352. 

  352. <a name="l00328"></a>00328 
    353. 

  353. <a name="l00329"></a>00329     <span class="comment">// Unary returning scalar</span>
    354. 

  354. <a name="l00330"></a>00330     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
    355. 

  355. <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> {
    356. 

  356. <a name="l00332"></a>00332         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::value_type value_type;
    357. 

  357. <a name="l00333"></a>00333         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::value_type result_type;
    358. 

  358. <a name="l00334"></a>00334     };
    359. 

  359. <a name="l00335"></a>00335 
    360. 

  360. <a name="l00336"></a>00336     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
    361. 

  361. <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>: 
    362. 

  362. <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; {
    363. 

  363. <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;
    364. 

  364. <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;
    365. 

  365. <a name="l00341"></a>00341 
    366. 

  366. <a name="l00342"></a>00342         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
    367. 

  367. <a name="l00343"></a>00343         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    368. 

  368. <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) { 
    369. 

  369. <a name="l00345"></a>00345             result_type t = result_type (0);
    370. 

  370. <a name="l00346"></a>00346             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
    371. 

  371. <a name="l00347"></a>00347             vector_size_type size (e ().size ());
    372. 

  372. <a name="l00348"></a>00348             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i)
    373. 

  373. <a name="l00349"></a>00349                 t += e () (i);
    374. 

  374. <a name="l00350"></a>00350             <span class="keywordflow">return</span> t;
    375. 

  375. <a name="l00351"></a>00351         }
    376. 

  376. <a name="l00352"></a>00352         <span class="comment">// Dense case</span>
    377. 

  377. <a name="l00353"></a>00353         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
    378. 

  378. <a name="l00354"></a>00354         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    379. 

  379. <a name="l00355"></a>00355         result_type apply (D size, I it) { 
    380. 

  380. <a name="l00356"></a>00356             result_type t = result_type (0);
    381. 

  381. <a name="l00357"></a>00357             <span class="keywordflow">while</span> (-- size &gt;= 0)
    382. 

  382. <a name="l00358"></a>00358                 t += *it, ++ it;
    383. 

  383. <a name="l00359"></a>00359             <span class="keywordflow">return</span> t; 
    384. 

  384. <a name="l00360"></a>00360         }
    385. 

  385. <a name="l00361"></a>00361         <span class="comment">// Sparse case</span>
    386. 

  386. <a name="l00362"></a>00362         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    387. 

  387. <a name="l00363"></a>00363         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    388. 

  388. <a name="l00364"></a>00364         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) {
    389. 

  389. <a name="l00365"></a>00365             result_type t = result_type (0);
    390. 

  390. <a name="l00366"></a>00366             <span class="keywordflow">while</span> (it != it_end) 
    391. 

  391. <a name="l00367"></a>00367                 t += *it, ++ it;
    392. 

  392. <a name="l00368"></a>00368             <span class="keywordflow">return</span> t; 
    393. 

  393. <a name="l00369"></a>00369         }
    394. 

  394. <a name="l00370"></a>00370     };
    395. 

  395. <a name="l00371"></a>00371 
    396. 

  396. <a name="l00372"></a>00372     <span class="comment">// Unary returning real scalar </span>
    397. 

  397. <a name="l00373"></a>00373     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
    398. 

  398. <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> {
    399. 

  399. <a name="l00375"></a>00375         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::value_type value_type;
    400. 

  400. <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;
    401. 

  401. <a name="l00377"></a>00377         <span class="keyword">typedef</span> real_type result_type;
    402. 

  402. <a name="l00378"></a>00378     };
    403. 

  403. <a name="l00379"></a>00379 
    404. 

  404. <a name="l00380"></a>00380     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
    405. 

  405. <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>:
    406. 

  406. <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; {
    407. 

  407. <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;
    408. 

  408. <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;
    409. 

  409. <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;
    410. 

  410. <a name="l00386"></a>00386 
    411. 

  411. <a name="l00387"></a>00387         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
    412. 

  412. <a name="l00388"></a>00388         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    413. 

  413. <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) {
    414. 

  414. <a name="l00390"></a>00390             real_type t = real_type ();
    415. 

  415. <a name="l00391"></a>00391             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
    416. 

  416. <a name="l00392"></a>00392             vector_size_type size (e ().size ());
    417. 

  417. <a name="l00393"></a>00393             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i) {
    418. 

  418. <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)));
    419. 

  419. <a name="l00395"></a>00395                 t += u;
    420. 

  420. <a name="l00396"></a>00396             }
    421. 

  421. <a name="l00397"></a>00397             <span class="keywordflow">return</span> t;
    422. 

  422. <a name="l00398"></a>00398         }
    423. 

  423. <a name="l00399"></a>00399         <span class="comment">// Dense case</span>
    424. 

  424. <a name="l00400"></a>00400         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
    425. 

  425. <a name="l00401"></a>00401         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    426. 

  426. <a name="l00402"></a>00402         result_type apply (D size, I it) {
    427. 

  427. <a name="l00403"></a>00403             real_type t = real_type ();
    428. 

  428. <a name="l00404"></a>00404             <span class="keywordflow">while</span> (-- size &gt;= 0) {
    429. 

  429. <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));
    430. 

  430. <a name="l00406"></a>00406                 t += u;
    431. 

  431. <a name="l00407"></a>00407                 ++ it;
    432. 

  432. <a name="l00408"></a>00408             }
    433. 

  433. <a name="l00409"></a>00409             <span class="keywordflow">return</span> t;
    434. 

  434. <a name="l00410"></a>00410         }
    435. 

  435. <a name="l00411"></a>00411         <span class="comment">// Sparse case</span>
    436. 

  436. <a name="l00412"></a>00412         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    437. 

  437. <a name="l00413"></a>00413         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    438. 

  438. <a name="l00414"></a>00414         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) {
    439. 

  439. <a name="l00415"></a>00415             real_type t = real_type ();
    440. 

  440. <a name="l00416"></a>00416             <span class="keywordflow">while</span> (it != it_end) {
    441. 

  441. <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));
    442. 

  442. <a name="l00418"></a>00418                 t += u;
    443. 

  443. <a name="l00419"></a>00419                 ++ it;
    444. 

  444. <a name="l00420"></a>00420             }
    445. 

  445. <a name="l00421"></a>00421             <span class="keywordflow">return</span> t;
    446. 

  446. <a name="l00422"></a>00422         }
    447. 

  447. <a name="l00423"></a>00423     };
    448. 

  448. <a name="l00424"></a>00424     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
    449. 

  449. <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>:
    450. 

  450. <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; {
    451. 

  451. <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;
    452. 

  452. <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;
    453. 

  453. <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;
    454. 

  454. <a name="l00430"></a>00430 
    455. 

  455. <a name="l00431"></a>00431         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
    456. 

  456. <a name="l00432"></a>00432         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    457. 

  457. <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) {
    458. 

  458. <a name="l00434"></a>00434 <span class="preprocessor">#ifndef BOOST_UBLAS_SCALED_NORM</span>
    459. 

  459. <a name="l00435"></a>00435 <span class="preprocessor"></span>            real_type t = real_type ();
    460. 

  460. <a name="l00436"></a>00436             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
    461. 

  461. <a name="l00437"></a>00437             vector_size_type size (e ().size ());
    462. 

  462. <a name="l00438"></a>00438             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i) {
    463. 

  463. <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)));
    464. 

  464. <a name="l00440"></a>00440                 t +=  u * u;
    465. 

  465. <a name="l00441"></a>00441             }
    466. 

  466. <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);
    467. 

  467. <a name="l00443"></a>00443 <span class="preprocessor">#else</span>
    468. 

  468. <a name="l00444"></a>00444 <span class="preprocessor"></span>            real_type scale = real_type ();
    469. 

  469. <a name="l00445"></a>00445             real_type sum_squares (1);
    470. 

  470. <a name="l00446"></a>00446             size_type size (e ().size ());
    471. 

  471. <a name="l00447"></a>00447             <span class="keywordflow">for</span> (size_type i = 0; i &lt; size; ++ i) {
    472. 

  472. <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)));
    473. 

  473. <a name="l00449"></a>00449                 <span class="keywordflow">if</span> ( real_type () <span class="comment">/* zero */</span> == u ) <span class="keywordflow">continue</span>;
    474. 

  474. <a name="l00450"></a>00450                 <span class="keywordflow">if</span> (scale &lt; u) {
    475. 

  475. <a name="l00451"></a>00451                     real_type v (scale / u);
    476. 

  476. <a name="l00452"></a>00452                     sum_squares = sum_squares * v * v + real_type (1);
    477. 

  477. <a name="l00453"></a>00453                     scale = u;
    478. 

  478. <a name="l00454"></a>00454                 } <span class="keywordflow">else</span> {
    479. 

  479. <a name="l00455"></a>00455                     real_type v (u / scale);
    480. 

  480. <a name="l00456"></a>00456                     sum_squares += v * v;
    481. 

  481. <a name="l00457"></a>00457                 }
    482. 

  482. <a name="l00458"></a>00458             }
    483. 

  483. <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);
    484. 

  484. <a name="l00460"></a>00460 <span class="preprocessor">#endif</span>
    485. 

  485. <a name="l00461"></a>00461 <span class="preprocessor"></span>        }
    486. 

  486. <a name="l00462"></a>00462         <span class="comment">// Dense case</span>
    487. 

  487. <a name="l00463"></a>00463         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
    488. 

  488. <a name="l00464"></a>00464         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    489. 

  489. <a name="l00465"></a>00465         result_type apply (D size, I it) {
    490. 

  490. <a name="l00466"></a>00466 <span class="preprocessor">#ifndef BOOST_UBLAS_SCALED_NORM</span>
    491. 

  491. <a name="l00467"></a>00467 <span class="preprocessor"></span>            real_type t = real_type ();
    492. 

  492. <a name="l00468"></a>00468             <span class="keywordflow">while</span> (-- size &gt;= 0) {
    493. 

  493. <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));
    494. 

  494. <a name="l00470"></a>00470                 t +=  u * u;
    495. 

  495. <a name="l00471"></a>00471                 ++ it;
    496. 

  496. <a name="l00472"></a>00472             }
    497. 

  497. <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);
    498. 

  498. <a name="l00474"></a>00474 <span class="preprocessor">#else</span>
    499. 

  499. <a name="l00475"></a>00475 <span class="preprocessor"></span>            real_type scale = real_type ();
    500. 

  500. <a name="l00476"></a>00476             real_type sum_squares (1);
    501. 

  501. <a name="l00477"></a>00477             <span class="keywordflow">while</span> (-- size &gt;= 0) {
    502. 

  502. <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));
    503. 

  503. <a name="l00479"></a>00479                 <span class="keywordflow">if</span> (scale &lt; u) {
    504. 

  504. <a name="l00480"></a>00480                     real_type v (scale / u);
    505. 

  505. <a name="l00481"></a>00481                     sum_squares = sum_squares * v * v + real_type (1);
    506. 

  506. <a name="l00482"></a>00482                     scale = u;
    507. 

  507. <a name="l00483"></a>00483                 } <span class="keywordflow">else</span> {
    508. 

  508. <a name="l00484"></a>00484                     real_type v (u / scale);
    509. 

  509. <a name="l00485"></a>00485                     sum_squares += v * v;
    510. 

  510. <a name="l00486"></a>00486                 }
    511. 

  511. <a name="l00487"></a>00487                 ++ it;
    512. 

  512. <a name="l00488"></a>00488             }
    513. 

  513. <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);
    514. 

  514. <a name="l00490"></a>00490 <span class="preprocessor">#endif</span>
    515. 

  515. <a name="l00491"></a>00491 <span class="preprocessor"></span>        }
    516. 

  516. <a name="l00492"></a>00492         <span class="comment">// Sparse case</span>
    517. 

  517. <a name="l00493"></a>00493         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    518. 

  518. <a name="l00494"></a>00494         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    519. 

  519. <a name="l00495"></a>00495         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) {
    520. 

  520. <a name="l00496"></a>00496 <span class="preprocessor">#ifndef BOOST_UBLAS_SCALED_NORM</span>
    521. 

  521. <a name="l00497"></a>00497 <span class="preprocessor"></span>            real_type t = real_type ();
    522. 

  522. <a name="l00498"></a>00498             <span class="keywordflow">while</span> (it != it_end) {
    523. 

  523. <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));
    524. 

  524. <a name="l00500"></a>00500                 t +=  u * u;
    525. 

  525. <a name="l00501"></a>00501                 ++ it;
    526. 

  526. <a name="l00502"></a>00502             }
    527. 

  527. <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);
    528. 

  528. <a name="l00504"></a>00504 <span class="preprocessor">#else</span>
    529. 

  529. <a name="l00505"></a>00505 <span class="preprocessor"></span>            real_type scale = real_type ();
    530. 

  530. <a name="l00506"></a>00506             real_type sum_squares (1);
    531. 

  531. <a name="l00507"></a>00507             <span class="keywordflow">while</span> (it != it_end) {
    532. 

  532. <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));
    533. 

  533. <a name="l00509"></a>00509                 <span class="keywordflow">if</span> (scale &lt; u) {
    534. 

  534. <a name="l00510"></a>00510                     real_type v (scale / u);
    535. 

  535. <a name="l00511"></a>00511                     sum_squares = sum_squares * v * v + real_type (1);
    536. 

  536. <a name="l00512"></a>00512                     scale = u;
    537. 

  537. <a name="l00513"></a>00513                 } <span class="keywordflow">else</span> {
    538. 

  538. <a name="l00514"></a>00514                     real_type v (u / scale);
    539. 

  539. <a name="l00515"></a>00515                     sum_squares += v * v;
    540. 

  540. <a name="l00516"></a>00516                 }
    541. 

  541. <a name="l00517"></a>00517                 ++ it;
    542. 

  542. <a name="l00518"></a>00518             }
    543. 

  543. <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);
    544. 

  544. <a name="l00520"></a>00520 <span class="preprocessor">#endif</span>
    545. 

  545. <a name="l00521"></a>00521 <span class="preprocessor"></span>        }
    546. 

  546. <a name="l00522"></a>00522     };
    547. 

  547. <a name="l00523"></a>00523     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
    548. 

  548. <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>:
    549. 

  549. <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; {
    550. 

  550. <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;
    551. 

  551. <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;
    552. 

  552. <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;
    553. 

  553. <a name="l00529"></a>00529 
    554. 

  554. <a name="l00530"></a>00530         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
    555. 

  555. <a name="l00531"></a>00531         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    556. 

  556. <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) {
    557. 

  557. <a name="l00533"></a>00533             real_type t = real_type ();
    558. 

  558. <a name="l00534"></a>00534             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
    559. 

  559. <a name="l00535"></a>00535             vector_size_type size (e ().size ());
    560. 

  560. <a name="l00536"></a>00536             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i) {
    561. 

  561. <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)));
    562. 

  562. <a name="l00538"></a>00538                 <span class="keywordflow">if</span> (u &gt; t)
    563. 

  563. <a name="l00539"></a>00539                     t = u;
    564. 

  564. <a name="l00540"></a>00540             }
    565. 

  565. <a name="l00541"></a>00541             <span class="keywordflow">return</span> t;
    566. 

  566. <a name="l00542"></a>00542         }
    567. 

  567. <a name="l00543"></a>00543         <span class="comment">// Dense case</span>
    568. 

  568. <a name="l00544"></a>00544         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
    569. 

  569. <a name="l00545"></a>00545         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    570. 

  570. <a name="l00546"></a>00546         result_type apply (D size, I it) {
    571. 

  571. <a name="l00547"></a>00547             real_type t = real_type ();
    572. 

  572. <a name="l00548"></a>00548             <span class="keywordflow">while</span> (-- size &gt;= 0) {
    573. 

  573. <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));
    574. 

  574. <a name="l00550"></a>00550                 <span class="keywordflow">if</span> (u &gt; t)
    575. 

  575. <a name="l00551"></a>00551                     t = u;
    576. 

  576. <a name="l00552"></a>00552                 ++ it;
    577. 

  577. <a name="l00553"></a>00553             }
    578. 

  578. <a name="l00554"></a>00554             <span class="keywordflow">return</span> t;
    579. 

  579. <a name="l00555"></a>00555         }
    580. 

  580. <a name="l00556"></a>00556         <span class="comment">// Sparse case</span>
    581. 

  581. <a name="l00557"></a>00557         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    582. 

  582. <a name="l00558"></a>00558         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    583. 

  583. <a name="l00559"></a>00559         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) { 
    584. 

  584. <a name="l00560"></a>00560             real_type t = real_type ();
    585. 

  585. <a name="l00561"></a>00561             <span class="keywordflow">while</span> (it != it_end) {
    586. 

  586. <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));
    587. 

  587. <a name="l00563"></a>00563                 <span class="keywordflow">if</span> (u &gt; t) 
    588. 

  588. <a name="l00564"></a>00564                     t = u;
    589. 

  589. <a name="l00565"></a>00565                 ++ it;
    590. 

  590. <a name="l00566"></a>00566             }
    591. 

  591. <a name="l00567"></a>00567             <span class="keywordflow">return</span> t; 
    592. 

  592. <a name="l00568"></a>00568         }
    593. 

  593. <a name="l00569"></a>00569     };
    594. 

  594. <a name="l00570"></a>00570 
    595. 

  595. <a name="l00571"></a>00571     <span class="comment">// Unary returning index</span>
    596. 

  596. <a name="l00572"></a>00572     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
    597. 

  597. <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> {
    598. 

  598. <a name="l00574"></a>00574         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::value_type value_type;
    599. 

  599. <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;
    600. 

  600. <a name="l00576"></a>00576         <span class="keyword">typedef</span> <span class="keyword">typename</span> V::size_type result_type;
    601. 

  601. <a name="l00577"></a>00577     };
    602. 

  602. <a name="l00578"></a>00578 
    603. 

  603. <a name="l00579"></a>00579     <span class="keyword">template</span>&lt;<span class="keyword">class</span> V&gt;
    604. 

  604. <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>:
    605. 

  605. <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; {
    606. 

  606. <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;
    607. 

  607. <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;
    608. 

  608. <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;
    609. 

  609. <a name="l00585"></a>00585 
    610. 

  610. <a name="l00586"></a>00586         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
    611. 

  611. <a name="l00587"></a>00587         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    612. 

  612. <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) {
    613. 

  613. <a name="l00589"></a>00589             <span class="comment">// ISSUE For CBLAS compatibility return 0 index in empty case</span>
    614. 

  614. <a name="l00590"></a>00590             result_type i_norm_inf (0);
    615. 

  615. <a name="l00591"></a>00591             real_type t = real_type ();
    616. 

  616. <a name="l00592"></a>00592             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type vector_size_type;
    617. 

  617. <a name="l00593"></a>00593             vector_size_type size (e ().size ());
    618. 

  618. <a name="l00594"></a>00594             <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i) {
    619. 

  619. <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)));
    620. 

  620. <a name="l00596"></a>00596                 <span class="keywordflow">if</span> (u &gt; t) {
    621. 

  621. <a name="l00597"></a>00597                     i_norm_inf = i;
    622. 

  622. <a name="l00598"></a>00598                     t = u;
    623. 

  623. <a name="l00599"></a>00599                 }
    624. 

  624. <a name="l00600"></a>00600             }
    625. 

  625. <a name="l00601"></a>00601             <span class="keywordflow">return</span> i_norm_inf;
    626. 

  626. <a name="l00602"></a>00602         }
    627. 

  627. <a name="l00603"></a>00603         <span class="comment">// Dense case</span>
    628. 

  628. <a name="l00604"></a>00604         <span class="keyword">template</span>&lt;<span class="keyword">class</span> D, <span class="keyword">class</span> I&gt;
    629. 

  629. <a name="l00605"></a>00605         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    630. 

  630. <a name="l00606"></a>00606         result_type apply (D size, I it) {
    631. 

  631. <a name="l00607"></a>00607             <span class="comment">// ISSUE For CBLAS compatibility return 0 index in empty case</span>
    632. 

  632. <a name="l00608"></a>00608             result_type i_norm_inf (0);
    633. 

  633. <a name="l00609"></a>00609             real_type t = real_type ();
    634. 

  634. <a name="l00610"></a>00610             <span class="keywordflow">while</span> (-- size &gt;= 0) {
    635. 

  635. <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));
    636. 

  636. <a name="l00612"></a>00612                 <span class="keywordflow">if</span> (u &gt; t) {
    637. 

  637. <a name="l00613"></a>00613                     i_norm_inf = it.index ();
    638. 

  638. <a name="l00614"></a>00614                     t = u;
    639. 

  639. <a name="l00615"></a>00615                 }
    640. 

  640. <a name="l00616"></a>00616                 ++ it;
    641. 

  641. <a name="l00617"></a>00617             }
    642. 

  642. <a name="l00618"></a>00618             <span class="keywordflow">return</span> i_norm_inf;
    643. 

  643. <a name="l00619"></a>00619         }
    644. 

  644. <a name="l00620"></a>00620         <span class="comment">// Sparse case</span>
    645. 

  645. <a name="l00621"></a>00621         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    646. 

  646. <a name="l00622"></a>00622         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    647. 

  647. <a name="l00623"></a>00623         result_type apply (I it, <span class="keyword">const</span> I &amp;it_end) {
    648. 

  648. <a name="l00624"></a>00624             <span class="comment">// ISSUE For CBLAS compatibility return 0 index in empty case</span>
    649. 

  649. <a name="l00625"></a>00625             result_type i_norm_inf (0);
    650. 

  650. <a name="l00626"></a>00626             real_type t = real_type ();
    651. 

  651. <a name="l00627"></a>00627             <span class="keywordflow">while</span> (it != it_end) {
    652. 

  652. <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));
    653. 

  653. <a name="l00629"></a>00629                 <span class="keywordflow">if</span> (u &gt; t) {
    654. 

  654. <a name="l00630"></a>00630                     i_norm_inf = it.index ();
    655. 

  655. <a name="l00631"></a>00631                     t = u;
    656. 

  656. <a name="l00632"></a>00632                 }
    657. 

  657. <a name="l00633"></a>00633                 ++ it;
    658. 

  658. <a name="l00634"></a>00634             }
    659. 

  659. <a name="l00635"></a>00635             <span class="keywordflow">return</span> i_norm_inf;
    660. 

  660. <a name="l00636"></a>00636         }
    661. 

  661. <a name="l00637"></a>00637     };
    662. 

  662. <a name="l00638"></a>00638 
    663. 

  663. <a name="l00639"></a>00639     <span class="comment">// Binary returning scalar</span>
    664. 

  664. <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;
    665. 

  665. <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> {
    666. 

  666. <a name="l00642"></a>00642         <span class="keyword">typedef</span> TV value_type;
    667. 

  667. <a name="l00643"></a>00643         <span class="keyword">typedef</span> TV result_type;
    668. 

  668. <a name="l00644"></a>00644     };
    669. 

  669. <a name="l00645"></a>00645 
    670. 

  670. <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;
    671. 

  671. <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>:
    672. 

  672. <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; {
    673. 

  673. <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;
    674. 

  674. <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;
    675. 

  675. <a name="l00651"></a>00651 
    676. 

  676. <a name="l00652"></a>00652         <span class="keyword">template</span>&lt;<span class="keyword">class</span> C1, <span class="keyword">class</span> C2&gt;
    677. 

  677. <a name="l00653"></a>00653         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    678. 

  678. <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,
    679. 

  679. <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) {
    680. 

  680. <a name="l00656"></a>00656 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
    681. 

  681. <a name="l00657"></a>00657 <span class="preprocessor"></span>            <span class="keyword">using namespace </span>raw;
    682. 

  682. <a name="l00658"></a>00658             <span class="keyword">typedef</span> <span class="keyword">typename</span> C1::size_type vector_size_type;
    683. 

  683. <a name="l00659"></a>00659             vector_size_type size (BOOST_UBLAS_SAME (c1 ().size (), c2 ().size ()));
    684. 

  684. <a name="l00660"></a>00660             <span class="keyword">const</span> <span class="keyword">typename</span> V1::value_type *data1 = data_const (c1 ());
    685. 

  685. <a name="l00661"></a>00661             <span class="keyword">const</span> <span class="keyword">typename</span> V1::value_type *data2 = data_const (c2 ());
    686. 

  686. <a name="l00662"></a>00662             vector_size_type s1 = stride (c1 ());
    687. 

  687. <a name="l00663"></a>00663             vector_size_type s2 = stride (c2 ());
    688. 

  688. <a name="l00664"></a>00664             result_type t = result_type (0);
    689. 

  689. <a name="l00665"></a>00665             <span class="keywordflow">if</span> (s1 == 1 &amp;&amp; s2 == 1) {
    690. 

  690. <a name="l00666"></a>00666                 <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i)
    691. 

  691. <a name="l00667"></a>00667                     t += data1 [i] * data2 [i];
    692. 

  692. <a name="l00668"></a>00668             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s2 == 1) {
    693. 

  693. <a name="l00669"></a>00669                 <span class="keywordflow">for</span> (vector_size_type i = 0, i1 = 0; i &lt; size; ++ i, i1 += s1)
    694. 

  694. <a name="l00670"></a>00670                     t += data1 [i1] * data2 [i];
    695. 

  695. <a name="l00671"></a>00671             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s1 == 1) {
    696. 

  696. <a name="l00672"></a>00672                 <span class="keywordflow">for</span> (vector_size_type i = 0, i2 = 0; i &lt; size; ++ i, i2 += s2)
    697. 

  697. <a name="l00673"></a>00673                     t += data1 [i] * data2 [i2];
    698. 

  698. <a name="l00674"></a>00674             } <span class="keywordflow">else</span> {
    699. 

  699. <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)
    700. 

  700. <a name="l00676"></a>00676                     t += data1 [i1] * data2 [i2];
    701. 

  701. <a name="l00677"></a>00677             }
    702. 

  702. <a name="l00678"></a>00678             <span class="keywordflow">return</span> t;
    703. 

  703. <a name="l00679"></a>00679 <span class="preprocessor">#elif defined(BOOST_UBLAS_HAVE_BINDINGS)</span>
    704. 

  704. <a name="l00680"></a>00680 <span class="preprocessor"></span>            <span class="keywordflow">return</span> boost::numeric::bindings::atlas::dot (c1 (), c2 ());
    705. 

  705. <a name="l00681"></a>00681 <span class="preprocessor">#else</span>
    706. 

  706. <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));
    707. 

  707. <a name="l00683"></a>00683 <span class="preprocessor">#endif</span>
    708. 

  708. <a name="l00684"></a>00684 <span class="preprocessor"></span>        }
    709. 

  709. <a name="l00685"></a>00685         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
    710. 

  710. <a name="l00686"></a>00686         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    711. 

  711. <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,
    712. 

  712. <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) {
    713. 

  713. <a name="l00689"></a>00689             <span class="keyword">typedef</span> <span class="keyword">typename</span> E1::size_type vector_size_type;
    714. 

  714. <a name="l00690"></a>00690             vector_size_type size (BOOST_UBLAS_SAME (e1 ().size (), e2 ().size ()));
    715. 

  715. <a name="l00691"></a>00691             result_type t = result_type (0);
    716. 

  716. <a name="l00692"></a>00692 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
    717. 

  717. <a name="l00693"></a>00693 <span class="preprocessor"></span>            <span class="keywordflow">for</span> (vector_size_type i = 0; i &lt; size; ++ i)
    718. 

  718. <a name="l00694"></a>00694                 t += e1 () (i) * e2 () (i);
    719. 

  719. <a name="l00695"></a>00695 <span class="preprocessor">#else</span>
    720. 

  720. <a name="l00696"></a>00696 <span class="preprocessor"></span>            vector_size_type i (0);
    721. 

  721. <a name="l00697"></a>00697             DD (size, 4, r, (t += e1 () (i) * e2 () (i), ++ i));
    722. 

  722. <a name="l00698"></a>00698 <span class="preprocessor">#endif</span>
    723. 

  723. <a name="l00699"></a>00699 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
    724. 

  724. <a name="l00700"></a>00700         }
    725. 

  725. <a name="l00701"></a>00701         <span class="comment">// Dense case</span>
    726. 

  726. <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;
    727. 

  727. <a name="l00703"></a>00703         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    728. 

  728. <a name="l00704"></a>00704         result_type apply (D size, I1 it1, I2 it2) {
    729. 

  729. <a name="l00705"></a>00705             result_type t = result_type (0);
    730. 

  730. <a name="l00706"></a>00706 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
    731. 

  731. <a name="l00707"></a>00707 <span class="preprocessor"></span>            <span class="keywordflow">while</span> (-- size &gt;= 0)
    732. 

  732. <a name="l00708"></a>00708                 t += *it1 * *it2, ++ it1, ++ it2;
    733. 

  733. <a name="l00709"></a>00709 <span class="preprocessor">#else</span>
    734. 

  734. <a name="l00710"></a>00710 <span class="preprocessor"></span>            DD (size, 4, r, (t += *it1 * *it2, ++ it1, ++ it2));
    735. 

  735. <a name="l00711"></a>00711 <span class="preprocessor">#endif</span>
    736. 

  736. <a name="l00712"></a>00712 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
    737. 

  737. <a name="l00713"></a>00713         }
    738. 

  738. <a name="l00714"></a>00714         <span class="comment">// Packed case</span>
    739. 

  739. <a name="l00715"></a>00715         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    740. 

  740. <a name="l00716"></a>00716         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    741. 

  741. <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) {
    742. 

  742. <a name="l00718"></a>00718             result_type t = result_type (0);
    743. 

  743. <a name="l00719"></a>00719             <span class="keyword">typedef</span> <span class="keyword">typename</span> I1::difference_type vector_difference_type;
    744. 

  744. <a name="l00720"></a>00720             vector_difference_type it1_size (it1_end - it1);
    745. 

  745. <a name="l00721"></a>00721             vector_difference_type it2_size (it2_end - it2);
    746. 

  746. <a name="l00722"></a>00722             vector_difference_type diff (0);
    747. 

  747. <a name="l00723"></a>00723             <span class="keywordflow">if</span> (it1_size &gt; 0 &amp;&amp; it2_size &gt; 0)
    748. 

  748. <a name="l00724"></a>00724                 diff = it2.index () - it1.index ();
    749. 

  749. <a name="l00725"></a>00725             <span class="keywordflow">if</span> (diff != 0) {
    750. 

  750. <a name="l00726"></a>00726                 vector_difference_type size = (std::min) (diff, it1_size);
    751. 

  751. <a name="l00727"></a>00727                 <span class="keywordflow">if</span> (size &gt; 0) {
    752. 

  752. <a name="l00728"></a>00728                     it1 += size;
    753. 

  753. <a name="l00729"></a>00729                     it1_size -= size;
    754. 

  754. <a name="l00730"></a>00730                     diff -= size;
    755. 

  755. <a name="l00731"></a>00731                 }
    756. 

  756. <a name="l00732"></a>00732                 size = (std::min) (- diff, it2_size);
    757. 

  757. <a name="l00733"></a>00733                 <span class="keywordflow">if</span> (size &gt; 0) {
    758. 

  758. <a name="l00734"></a>00734                     it2 += size;
    759. 

  759. <a name="l00735"></a>00735                     it2_size -= size;
    760. 

  760. <a name="l00736"></a>00736                     diff += size;
    761. 

  761. <a name="l00737"></a>00737                 }
    762. 

  762. <a name="l00738"></a>00738             }
    763. 

  763. <a name="l00739"></a>00739             vector_difference_type size ((std::min) (it1_size, it2_size));
    764. 

  764. <a name="l00740"></a>00740             <span class="keywordflow">while</span> (-- size &gt;= 0)
    765. 

  765. <a name="l00741"></a>00741                 t += *it1 * *it2, ++ it1, ++ it2;
    766. 

  766. <a name="l00742"></a>00742             <span class="keywordflow">return</span> t;
    767. 

  767. <a name="l00743"></a>00743         }
    768. 

  768. <a name="l00744"></a>00744         <span class="comment">// Sparse case</span>
    769. 

  769. <a name="l00745"></a>00745         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    770. 

  770. <a name="l00746"></a>00746         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    771. 

  771. <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>) {
    772. 

  772. <a name="l00748"></a>00748             result_type t = result_type (0);
    773. 

  773. <a name="l00749"></a>00749             <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
    774. 

  774. <a name="l00750"></a>00750                 <span class="keywordflow">while</span> (<span class="keyword">true</span>) {
    775. 

  775. <a name="l00751"></a>00751                     <span class="keywordflow">if</span> (it1.index () == it2.index ()) {
    776. 

  776. <a name="l00752"></a>00752                         t += *it1 * *it2, ++ it1, ++ it2;
    777. 

  777. <a name="l00753"></a>00753                         <span class="keywordflow">if</span> (it1 == it1_end || it2 == it2_end)
    778. 

  778. <a name="l00754"></a>00754                             <span class="keywordflow">break</span>;
    779. 

  779. <a name="l00755"></a>00755                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (it1.index () &lt; it2.index ()) {
    780. 

  780. <a name="l00756"></a>00756                         increment (it1, it1_end, it2.index () - it1.index ());
    781. 

  781. <a name="l00757"></a>00757                         <span class="keywordflow">if</span> (it1 == it1_end)
    782. 

  782. <a name="l00758"></a>00758                             <span class="keywordflow">break</span>;
    783. 

  783. <a name="l00759"></a>00759                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (it1.index () &gt; it2.index ()) {
    784. 

  784. <a name="l00760"></a>00760                         increment (it2, it2_end, it1.index () - it2.index ());
    785. 

  785. <a name="l00761"></a>00761                         <span class="keywordflow">if</span> (it2 == it2_end)
    786. 

  786. <a name="l00762"></a>00762                             <span class="keywordflow">break</span>;
    787. 

  787. <a name="l00763"></a>00763                     }
    788. 

  788. <a name="l00764"></a>00764                 }
    789. 

  789. <a name="l00765"></a>00765             }
    790. 

  790. <a name="l00766"></a>00766             <span class="keywordflow">return</span> t;
    791. 

  791. <a name="l00767"></a>00767         }
    792. 

  792. <a name="l00768"></a>00768     };
    793. 

  793. <a name="l00769"></a>00769 
    794. 

  794. <a name="l00770"></a>00770     <span class="comment">// Matrix functors</span>
    795. 

  795. <a name="l00771"></a>00771 
    796. 

  796. <a name="l00772"></a>00772     <span class="comment">// Binary returning vector</span>
    797. 

  797. <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;
    798. 

  798. <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> {
    799. 

  799. <a name="l00775"></a>00775         <span class="keyword">typedef</span> <span class="keyword">typename</span> M1::size_type size_type;
    800. 

  800. <a name="l00776"></a>00776         <span class="keyword">typedef</span> <span class="keyword">typename</span> M1::difference_type difference_type;
    801. 

  801. <a name="l00777"></a>00777         <span class="keyword">typedef</span> TV value_type;
    802. 

  802. <a name="l00778"></a>00778         <span class="keyword">typedef</span> TV result_type;
    803. 

  803. <a name="l00779"></a>00779     };
    804. 

  804. <a name="l00780"></a>00780 
    805. 

  805. <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;
    806. 

  806. <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>:
    807. 

  807. <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; {
    808. 

  808. <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;
    809. 

  809. <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;
    810. 

  810. <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;
    811. 

  811. <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;
    812. 

  812. <a name="l00788"></a>00788 
    813. 

  813. <a name="l00789"></a>00789         <span class="keyword">template</span>&lt;<span class="keyword">class</span> C1, <span class="keyword">class</span> C2&gt;
    814. 

  814. <a name="l00790"></a>00790         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    815. 

  815. <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,
    816. 

  816. <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,
    817. 

  817. <a name="l00793"></a>00793                            size_type i) {
    818. 

  818. <a name="l00794"></a>00794 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
    819. 

  819. <a name="l00795"></a>00795 <span class="preprocessor"></span>            <span class="keyword">using namespace </span>raw;
    820. 

  820. <a name="l00796"></a>00796             size_type size = BOOST_UBLAS_SAME (c1 ().size2 (), c2 ().size ());
    821. 

  821. <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 ());
    822. 

  822. <a name="l00798"></a>00798             <span class="keyword">const</span> <span class="keyword">typename</span> M2::value_type *data2 = data_const (c2 ());
    823. 

  823. <a name="l00799"></a>00799             size_type s1 = stride2 (c1 ());
    824. 

  824. <a name="l00800"></a>00800             size_type s2 = stride (c2 ());
    825. 

  825. <a name="l00801"></a>00801             result_type t = result_type (0);
    826. 

  826. <a name="l00802"></a>00802             <span class="keywordflow">if</span> (s1 == 1 &amp;&amp; s2 == 1) {
    827. 

  827. <a name="l00803"></a>00803                 <span class="keywordflow">for</span> (size_type j = 0; j &lt; size; ++ j)
    828. 

  828. <a name="l00804"></a>00804                     t += data1 [j] * data2 [j];
    829. 

  829. <a name="l00805"></a>00805             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s2 == 1) {
    830. 

  830. <a name="l00806"></a>00806                 <span class="keywordflow">for</span> (size_type j = 0, j1 = 0; j &lt; size; ++ j, j1 += s1)
    831. 

  831. <a name="l00807"></a>00807                     t += data1 [j1] * data2 [j];
    832. 

  832. <a name="l00808"></a>00808             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s1 == 1) {
    833. 

  833. <a name="l00809"></a>00809                 <span class="keywordflow">for</span> (size_type j = 0, j2 = 0; j &lt; size; ++ j, j2 += s2)
    834. 

  834. <a name="l00810"></a>00810                     t += data1 [j] * data2 [j2];
    835. 

  835. <a name="l00811"></a>00811             } <span class="keywordflow">else</span> {
    836. 

  836. <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)
    837. 

  837. <a name="l00813"></a>00813                     t += data1 [j1] * data2 [j2];
    838. 

  838. <a name="l00814"></a>00814             }
    839. 

  839. <a name="l00815"></a>00815             <span class="keywordflow">return</span> t;
    840. 

  840. <a name="l00816"></a>00816 <span class="preprocessor">#elif defined(BOOST_UBLAS_HAVE_BINDINGS)</span>
    841. 

  841. <a name="l00817"></a>00817 <span class="preprocessor"></span>            <span class="keywordflow">return</span> boost::numeric::bindings::atlas::dot (c1 ().row (i), c2 ());
    842. 

  842. <a name="l00818"></a>00818 <span class="preprocessor">#else</span>
    843. 

  843. <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));
    844. 

  844. <a name="l00820"></a>00820 <span class="preprocessor">#endif</span>
    845. 

  845. <a name="l00821"></a>00821 <span class="preprocessor"></span>        }
    846. 

  846. <a name="l00822"></a>00822         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
    847. 

  847. <a name="l00823"></a>00823         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    848. 

  848. <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,
    849. 

  849. <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,
    850. 

  850. <a name="l00826"></a>00826                            size_type i) {
    851. 

  851. <a name="l00827"></a>00827             size_type size = BOOST_UBLAS_SAME (e1 ().size2 (), e2 ().size ());
    852. 

  852. <a name="l00828"></a>00828             result_type t = result_type (0);
    853. 

  853. <a name="l00829"></a>00829 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
    854. 

  854. <a name="l00830"></a>00830 <span class="preprocessor"></span>            <span class="keywordflow">for</span> (size_type j = 0; j &lt; size; ++ j)
    855. 

  855. <a name="l00831"></a>00831                 t += e1 () (i, j) * e2 () (j);
    856. 

  856. <a name="l00832"></a>00832 <span class="preprocessor">#else</span>
    857. 

  857. <a name="l00833"></a>00833 <span class="preprocessor"></span>            size_type j (0);
    858. 

  858. <a name="l00834"></a>00834             DD (size, 4, r, (t += e1 () (i, j) * e2 () (j), ++ j));
    859. 

  859. <a name="l00835"></a>00835 <span class="preprocessor">#endif</span>
    860. 

  860. <a name="l00836"></a>00836 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
    861. 

  861. <a name="l00837"></a>00837         }
    862. 

  862. <a name="l00838"></a>00838         <span class="comment">// Dense case</span>
    863. 

  863. <a name="l00839"></a>00839         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    864. 

  864. <a name="l00840"></a>00840         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    865. 

  865. <a name="l00841"></a>00841         result_type apply (difference_type size, I1 it1, I2 it2) {
    866. 

  866. <a name="l00842"></a>00842             result_type t = result_type (0);
    867. 

  867. <a name="l00843"></a>00843 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
    868. 

  868. <a name="l00844"></a>00844 <span class="preprocessor"></span>            <span class="keywordflow">while</span> (-- size &gt;= 0)
    869. 

  869. <a name="l00845"></a>00845                 t += *it1 * *it2, ++ it1, ++ it2;
    870. 

  870. <a name="l00846"></a>00846 <span class="preprocessor">#else</span>
    871. 

  871. <a name="l00847"></a>00847 <span class="preprocessor"></span>            DD (size, 4, r, (t += *it1 * *it2, ++ it1, ++ it2));
    872. 

  872. <a name="l00848"></a>00848 <span class="preprocessor">#endif</span>
    873. 

  873. <a name="l00849"></a>00849 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
    874. 

  874. <a name="l00850"></a>00850         }
    875. 

  875. <a name="l00851"></a>00851         <span class="comment">// Packed case</span>
    876. 

  876. <a name="l00852"></a>00852         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    877. 

  877. <a name="l00853"></a>00853         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    878. 

  878. <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) {
    879. 

  879. <a name="l00855"></a>00855             result_type t = result_type (0);
    880. 

  880. <a name="l00856"></a>00856             difference_type it1_size (it1_end - it1);
    881. 

  881. <a name="l00857"></a>00857             difference_type it2_size (it2_end - it2);
    882. 

  882. <a name="l00858"></a>00858             difference_type diff (0);
    883. 

  883. <a name="l00859"></a>00859             <span class="keywordflow">if</span> (it1_size &gt; 0 &amp;&amp; it2_size &gt; 0)
    884. 

  884. <a name="l00860"></a>00860                 diff = it2.index () - it1.index2 ();
    885. 

  885. <a name="l00861"></a>00861             <span class="keywordflow">if</span> (diff != 0) {
    886. 

  886. <a name="l00862"></a>00862                 difference_type size = (std::min) (diff, it1_size);
    887. 

  887. <a name="l00863"></a>00863                 <span class="keywordflow">if</span> (size &gt; 0) {
    888. 

  888. <a name="l00864"></a>00864                     it1 += size;
    889. 

  889. <a name="l00865"></a>00865                     it1_size -= size;
    890. 

  890. <a name="l00866"></a>00866                     diff -= size;
    891. 

  891. <a name="l00867"></a>00867                 }
    892. 

  892. <a name="l00868"></a>00868                 size = (std::min) (- diff, it2_size);
    893. 

  893. <a name="l00869"></a>00869                 <span class="keywordflow">if</span> (size &gt; 0) {
    894. 

  894. <a name="l00870"></a>00870                     it2 += size;
    895. 

  895. <a name="l00871"></a>00871                     it2_size -= size;
    896. 

  896. <a name="l00872"></a>00872                     diff += size;
    897. 

  897. <a name="l00873"></a>00873                 }
    898. 

  898. <a name="l00874"></a>00874             }
    899. 

  899. <a name="l00875"></a>00875             difference_type size ((std::min) (it1_size, it2_size));
    900. 

  900. <a name="l00876"></a>00876             <span class="keywordflow">while</span> (-- size &gt;= 0)
    901. 

  901. <a name="l00877"></a>00877                 t += *it1 * *it2, ++ it1, ++ it2;
    902. 

  902. <a name="l00878"></a>00878             <span class="keywordflow">return</span> t;
    903. 

  903. <a name="l00879"></a>00879         }
    904. 

  904. <a name="l00880"></a>00880         <span class="comment">// Sparse case</span>
    905. 

  905. <a name="l00881"></a>00881         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    906. 

  906. <a name="l00882"></a>00882         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    907. 

  907. <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,
    908. 

  908. <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>) {
    909. 

  909. <a name="l00885"></a>00885             result_type t = result_type (0);
    910. 

  910. <a name="l00886"></a>00886             <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
    911. 

  911. <a name="l00887"></a>00887                 size_type it1_index = it1.index2 (), it2_index = it2.index ();
    912. 

  912. <a name="l00888"></a>00888                 <span class="keywordflow">while</span> (<span class="keyword">true</span>) {
    913. 

  913. <a name="l00889"></a>00889                     difference_type compare = it1_index - it2_index;
    914. 

  914. <a name="l00890"></a>00890                     <span class="keywordflow">if</span> (compare == 0) {
    915. 

  915. <a name="l00891"></a>00891                         t += *it1 * *it2, ++ it1, ++ it2;
    916. 

  916. <a name="l00892"></a>00892                         <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
    917. 

  917. <a name="l00893"></a>00893                             it1_index = it1.index2 ();
    918. 

  918. <a name="l00894"></a>00894                             it2_index = it2.index ();
    919. 

  919. <a name="l00895"></a>00895                         } <span class="keywordflow">else</span>
    920. 

  920. <a name="l00896"></a>00896                             <span class="keywordflow">break</span>;
    921. 

  921. <a name="l00897"></a>00897                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &lt; 0) {
    922. 

  922. <a name="l00898"></a>00898                         increment (it1, it1_end, - compare);
    923. 

  923. <a name="l00899"></a>00899                         <span class="keywordflow">if</span> (it1 != it1_end)
    924. 

  924. <a name="l00900"></a>00900                             it1_index = it1.index2 ();
    925. 

  925. <a name="l00901"></a>00901                         <span class="keywordflow">else</span>
    926. 

  926. <a name="l00902"></a>00902                             <span class="keywordflow">break</span>;
    927. 

  927. <a name="l00903"></a>00903                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &gt; 0) {
    928. 

  928. <a name="l00904"></a>00904                         increment (it2, it2_end, compare);
    929. 

  929. <a name="l00905"></a>00905                         <span class="keywordflow">if</span> (it2 != it2_end)
    930. 

  930. <a name="l00906"></a>00906                             it2_index = it2.index ();
    931. 

  931. <a name="l00907"></a>00907                         <span class="keywordflow">else</span>
    932. 

  932. <a name="l00908"></a>00908                             <span class="keywordflow">break</span>;
    933. 

  933. <a name="l00909"></a>00909                     }
    934. 

  934. <a name="l00910"></a>00910                 }
    935. 

  935. <a name="l00911"></a>00911             }
    936. 

  936. <a name="l00912"></a>00912             <span class="keywordflow">return</span> t;
    937. 

  937. <a name="l00913"></a>00913         }
    938. 

  938. <a name="l00914"></a>00914         <span class="comment">// Sparse packed case</span>
    939. 

  939. <a name="l00915"></a>00915         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    940. 

  940. <a name="l00916"></a>00916         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    941. 

  941. <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>,
    942. 

  942. <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>) {
    943. 

  943. <a name="l00919"></a>00919             result_type t = result_type (0);
    944. 

  944. <a name="l00920"></a>00920             <span class="keywordflow">while</span> (it1 != it1_end) {
    945. 

  945. <a name="l00921"></a>00921                 t += *it1 * it2 () (it1.index2 ());
    946. 

  946. <a name="l00922"></a>00922                 ++ it1;
    947. 

  947. <a name="l00923"></a>00923             }
    948. 

  948. <a name="l00924"></a>00924             <span class="keywordflow">return</span> t;
    949. 

  949. <a name="l00925"></a>00925         }
    950. 

  950. <a name="l00926"></a>00926         <span class="comment">// Packed sparse case</span>
    951. 

  951. <a name="l00927"></a>00927         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    952. 

  952. <a name="l00928"></a>00928         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    953. 

  953. <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,
    954. 

  954. <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>) {
    955. 

  955. <a name="l00931"></a>00931             result_type t = result_type (0);
    956. 

  956. <a name="l00932"></a>00932             <span class="keywordflow">while</span> (it2 != it2_end) {
    957. 

  957. <a name="l00933"></a>00933                 t += it1 () (it1.index1 (), it2.index ()) * *it2;
    958. 

  958. <a name="l00934"></a>00934                 ++ it2;
    959. 

  959. <a name="l00935"></a>00935             }
    960. 

  960. <a name="l00936"></a>00936             <span class="keywordflow">return</span> t;
    961. 

  961. <a name="l00937"></a>00937         }
    962. 

  962. <a name="l00938"></a>00938         <span class="comment">// Another dispatcher</span>
    963. 

  963. <a name="l00939"></a>00939         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    964. 

  964. <a name="l00940"></a>00940         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    965. 

  965. <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,
    966. 

  966. <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>) {
    967. 

  967. <a name="l00943"></a>00943             <span class="keyword">typedef</span> <span class="keyword">typename</span> I1::iterator_category iterator1_category;
    968. 

  968. <a name="l00944"></a>00944             <span class="keyword">typedef</span> <span class="keyword">typename</span> I2::iterator_category iterator2_category;
    969. 

  969. <a name="l00945"></a>00945             <span class="keywordflow">return</span> apply (it1, it1_end, it2, it2_end, iterator1_category (), iterator2_category ());
    970. 

  970. <a name="l00946"></a>00946         }
    971. 

  971. <a name="l00947"></a>00947     };
    972. 

  972. <a name="l00948"></a>00948 
    973. 

  973. <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;
    974. 

  974. <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>:
    975. 

  975. <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; {
    976. 

  976. <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;
    977. 

  977. <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;
    978. 

  978. <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;
    979. 

  979. <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;
    980. 

  980. <a name="l00956"></a>00956 
    981. 

  981. <a name="l00957"></a>00957         <span class="keyword">template</span>&lt;<span class="keyword">class</span> C1, <span class="keyword">class</span> C2&gt;
    982. 

  982. <a name="l00958"></a>00958         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    983. 

  983. <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,
    984. 

  984. <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,
    985. 

  985. <a name="l00961"></a>00961                            size_type i) {
    986. 

  986. <a name="l00962"></a>00962 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
    987. 

  987. <a name="l00963"></a>00963 <span class="preprocessor"></span>            <span class="keyword">using namespace </span>raw;
    988. 

  988. <a name="l00964"></a>00964             size_type size = BOOST_UBLAS_SAME (c1 ().size (), c2 ().size1 ());
    989. 

  989. <a name="l00965"></a>00965             <span class="keyword">const</span> <span class="keyword">typename</span> M1::value_type *data1 = data_const (c1 ());
    990. 

  990. <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 ());
    991. 

  991. <a name="l00967"></a>00967             size_type s1 = stride (c1 ());
    992. 

  992. <a name="l00968"></a>00968             size_type s2 = stride1 (c2 ());
    993. 

  993. <a name="l00969"></a>00969             result_type t = result_type (0);
    994. 

  994. <a name="l00970"></a>00970             <span class="keywordflow">if</span> (s1 == 1 &amp;&amp; s2 == 1) {
    995. 

  995. <a name="l00971"></a>00971                 <span class="keywordflow">for</span> (size_type j = 0; j &lt; size; ++ j)
    996. 

  996. <a name="l00972"></a>00972                     t += data1 [j] * data2 [j];
    997. 

  997. <a name="l00973"></a>00973             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s2 == 1) {
    998. 

  998. <a name="l00974"></a>00974                 <span class="keywordflow">for</span> (size_type j = 0, j1 = 0; j &lt; size; ++ j, j1 += s1)
    999. 

  999. <a name="l00975"></a>00975                     t += data1 [j1] * data2 [j];
    1000. 

  1000. <a name="l00976"></a>00976             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s1 == 1) {
    1001. 

  1001. <a name="l00977"></a>00977                 <span class="keywordflow">for</span> (size_type j = 0, j2 = 0; j &lt; size; ++ j, j2 += s2)
    1002. 

  1002. <a name="l00978"></a>00978                     t += data1 [j] * data2 [j2];
    1003. 

  1003. <a name="l00979"></a>00979             } <span class="keywordflow">else</span> {
    1004. 

  1004. <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)
    1005. 

  1005. <a name="l00981"></a>00981                     t += data1 [j1] * data2 [j2];
    1006. 

  1006. <a name="l00982"></a>00982             }
    1007. 

  1007. <a name="l00983"></a>00983             <span class="keywordflow">return</span> t;
    1008. 

  1008. <a name="l00984"></a>00984 <span class="preprocessor">#elif defined(BOOST_UBLAS_HAVE_BINDINGS)</span>
    1009. 

  1009. <a name="l00985"></a>00985 <span class="preprocessor"></span>            <span class="keywordflow">return</span> boost::numeric::bindings::atlas::dot (c1 (), c2 ().column (i));
    1010. 

  1010. <a name="l00986"></a>00986 <span class="preprocessor">#else</span>
    1011. 

  1011. <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));
    1012. 

  1012. <a name="l00988"></a>00988 <span class="preprocessor">#endif</span>
    1013. 

  1013. <a name="l00989"></a>00989 <span class="preprocessor"></span>        }
    1014. 

  1014. <a name="l00990"></a>00990         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
    1015. 

  1015. <a name="l00991"></a>00991         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1016. 

  1016. <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,
    1017. 

  1017. <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,
    1018. 

  1018. <a name="l00994"></a>00994                            size_type i) {
    1019. 

  1019. <a name="l00995"></a>00995             size_type size = BOOST_UBLAS_SAME (e1 ().size (), e2 ().size1 ());
    1020. 

  1020. <a name="l00996"></a>00996             result_type t = result_type (0);
    1021. 

  1021. <a name="l00997"></a>00997 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
    1022. 

  1022. <a name="l00998"></a>00998 <span class="preprocessor"></span>            <span class="keywordflow">for</span> (size_type j = 0; j &lt; size; ++ j)
    1023. 

  1023. <a name="l00999"></a>00999                 t += e1 () (j) * e2 () (j, i);
    1024. 

  1024. <a name="l01000"></a>01000 <span class="preprocessor">#else</span>
    1025. 

  1025. <a name="l01001"></a>01001 <span class="preprocessor"></span>            size_type j (0);
    1026. 

  1026. <a name="l01002"></a>01002             DD (size, 4, r, (t += e1 () (j) * e2 () (j, i), ++ j));
    1027. 

  1027. <a name="l01003"></a>01003 <span class="preprocessor">#endif</span>
    1028. 

  1028. <a name="l01004"></a>01004 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
    1029. 

  1029. <a name="l01005"></a>01005         }
    1030. 

  1030. <a name="l01006"></a>01006         <span class="comment">// Dense case</span>
    1031. 

  1031. <a name="l01007"></a>01007         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    1032. 

  1032. <a name="l01008"></a>01008         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1033. 

  1033. <a name="l01009"></a>01009         result_type apply (difference_type size, I1 it1, I2 it2) {
    1034. 

  1034. <a name="l01010"></a>01010             result_type t = result_type (0);
    1035. 

  1035. <a name="l01011"></a>01011 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
    1036. 

  1036. <a name="l01012"></a>01012 <span class="preprocessor"></span>            <span class="keywordflow">while</span> (-- size &gt;= 0)
    1037. 

  1037. <a name="l01013"></a>01013                 t += *it1 * *it2, ++ it1, ++ it2;
    1038. 

  1038. <a name="l01014"></a>01014 <span class="preprocessor">#else</span>
    1039. 

  1039. <a name="l01015"></a>01015 <span class="preprocessor"></span>            DD (size, 4, r, (t += *it1 * *it2, ++ it1, ++ it2));
    1040. 

  1040. <a name="l01016"></a>01016 <span class="preprocessor">#endif</span>
    1041. 

  1041. <a name="l01017"></a>01017 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
    1042. 

  1042. <a name="l01018"></a>01018         }
    1043. 

  1043. <a name="l01019"></a>01019         <span class="comment">// Packed case</span>
    1044. 

  1044. <a name="l01020"></a>01020         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    1045. 

  1045. <a name="l01021"></a>01021         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1046. 

  1046. <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) {
    1047. 

  1047. <a name="l01023"></a>01023             result_type t = result_type (0);
    1048. 

  1048. <a name="l01024"></a>01024             difference_type it1_size (it1_end - it1);
    1049. 

  1049. <a name="l01025"></a>01025             difference_type it2_size (it2_end - it2);
    1050. 

  1050. <a name="l01026"></a>01026             difference_type diff (0);
    1051. 

  1051. <a name="l01027"></a>01027             <span class="keywordflow">if</span> (it1_size &gt; 0 &amp;&amp; it2_size &gt; 0)
    1052. 

  1052. <a name="l01028"></a>01028                 diff = it2.index1 () - it1.index ();
    1053. 

  1053. <a name="l01029"></a>01029             <span class="keywordflow">if</span> (diff != 0) {
    1054. 

  1054. <a name="l01030"></a>01030                 difference_type size = (std::min) (diff, it1_size);
    1055. 

  1055. <a name="l01031"></a>01031                 <span class="keywordflow">if</span> (size &gt; 0) {
    1056. 

  1056. <a name="l01032"></a>01032                     it1 += size;
    1057. 

  1057. <a name="l01033"></a>01033                     it1_size -= size;
    1058. 

  1058. <a name="l01034"></a>01034                     diff -= size;
    1059. 

  1059. <a name="l01035"></a>01035                 }
    1060. 

  1060. <a name="l01036"></a>01036                 size = (std::min) (- diff, it2_size);
    1061. 

  1061. <a name="l01037"></a>01037                 <span class="keywordflow">if</span> (size &gt; 0) {
    1062. 

  1062. <a name="l01038"></a>01038                     it2 += size;
    1063. 

  1063. <a name="l01039"></a>01039                     it2_size -= size;
    1064. 

  1064. <a name="l01040"></a>01040                     diff += size;
    1065. 

  1065. <a name="l01041"></a>01041                 }
    1066. 

  1066. <a name="l01042"></a>01042             }
    1067. 

  1067. <a name="l01043"></a>01043             difference_type size ((std::min) (it1_size, it2_size));
    1068. 

  1068. <a name="l01044"></a>01044             <span class="keywordflow">while</span> (-- size &gt;= 0)
    1069. 

  1069. <a name="l01045"></a>01045                 t += *it1 * *it2, ++ it1, ++ it2;
    1070. 

  1070. <a name="l01046"></a>01046             <span class="keywordflow">return</span> t;
    1071. 

  1071. <a name="l01047"></a>01047         }
    1072. 

  1072. <a name="l01048"></a>01048         <span class="comment">// Sparse case</span>
    1073. 

  1073. <a name="l01049"></a>01049         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    1074. 

  1074. <a name="l01050"></a>01050         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1075. 

  1075. <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,
    1076. 

  1076. <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>) {
    1077. 

  1077. <a name="l01053"></a>01053             result_type t = result_type (0);
    1078. 

  1078. <a name="l01054"></a>01054             <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
    1079. 

  1079. <a name="l01055"></a>01055                 size_type it1_index = it1.index (), it2_index = it2.index1 ();
    1080. 

  1080. <a name="l01056"></a>01056                 <span class="keywordflow">while</span> (<span class="keyword">true</span>) {
    1081. 

  1081. <a name="l01057"></a>01057                     difference_type compare = it1_index - it2_index;
    1082. 

  1082. <a name="l01058"></a>01058                     <span class="keywordflow">if</span> (compare == 0) {
    1083. 

  1083. <a name="l01059"></a>01059                         t += *it1 * *it2, ++ it1, ++ it2;
    1084. 

  1084. <a name="l01060"></a>01060                         <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
    1085. 

  1085. <a name="l01061"></a>01061                             it1_index = it1.index ();
    1086. 

  1086. <a name="l01062"></a>01062                             it2_index = it2.index1 ();
    1087. 

  1087. <a name="l01063"></a>01063                         } <span class="keywordflow">else</span>
    1088. 

  1088. <a name="l01064"></a>01064                             <span class="keywordflow">break</span>;
    1089. 

  1089. <a name="l01065"></a>01065                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &lt; 0) {
    1090. 

  1090. <a name="l01066"></a>01066                         increment (it1, it1_end, - compare);
    1091. 

  1091. <a name="l01067"></a>01067                         <span class="keywordflow">if</span> (it1 != it1_end)
    1092. 

  1092. <a name="l01068"></a>01068                             it1_index = it1.index ();
    1093. 

  1093. <a name="l01069"></a>01069                         <span class="keywordflow">else</span>
    1094. 

  1094. <a name="l01070"></a>01070                             <span class="keywordflow">break</span>;
    1095. 

  1095. <a name="l01071"></a>01071                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &gt; 0) {
    1096. 

  1096. <a name="l01072"></a>01072                         increment (it2, it2_end, compare);
    1097. 

  1097. <a name="l01073"></a>01073                         <span class="keywordflow">if</span> (it2 != it2_end)
    1098. 

  1098. <a name="l01074"></a>01074                             it2_index = it2.index1 ();
    1099. 

  1099. <a name="l01075"></a>01075                         <span class="keywordflow">else</span>
    1100. 

  1100. <a name="l01076"></a>01076                             <span class="keywordflow">break</span>;
    1101. 

  1101. <a name="l01077"></a>01077                     }
    1102. 

  1102. <a name="l01078"></a>01078                 }
    1103. 

  1103. <a name="l01079"></a>01079             }
    1104. 

  1104. <a name="l01080"></a>01080             <span class="keywordflow">return</span> t;
    1105. 

  1105. <a name="l01081"></a>01081         }
    1106. 

  1106. <a name="l01082"></a>01082         <span class="comment">// Packed sparse case</span>
    1107. 

  1107. <a name="l01083"></a>01083         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    1108. 

  1108. <a name="l01084"></a>01084         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1109. 

  1109. <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,
    1110. 

  1110. <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>) {
    1111. 

  1111. <a name="l01087"></a>01087             result_type t = result_type (0);
    1112. 

  1112. <a name="l01088"></a>01088             <span class="keywordflow">while</span> (it2 != it2_end) {
    1113. 

  1113. <a name="l01089"></a>01089                 t += it1 () (it2.index1 ()) * *it2;
    1114. 

  1114. <a name="l01090"></a>01090                 ++ it2;
    1115. 

  1115. <a name="l01091"></a>01091             }
    1116. 

  1116. <a name="l01092"></a>01092             <span class="keywordflow">return</span> t;
    1117. 

  1117. <a name="l01093"></a>01093         }
    1118. 

  1118. <a name="l01094"></a>01094         <span class="comment">// Sparse packed case</span>
    1119. 

  1119. <a name="l01095"></a>01095         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    1120. 

  1120. <a name="l01096"></a>01096         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1121. 

  1121. <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>,
    1122. 

  1122. <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>) {
    1123. 

  1123. <a name="l01099"></a>01099             result_type t = result_type (0);
    1124. 

  1124. <a name="l01100"></a>01100             <span class="keywordflow">while</span> (it1 != it1_end) {
    1125. 

  1125. <a name="l01101"></a>01101                 t += *it1 * it2 () (it1.index (), it2.index2 ());
    1126. 

  1126. <a name="l01102"></a>01102                 ++ it1;
    1127. 

  1127. <a name="l01103"></a>01103             }
    1128. 

  1128. <a name="l01104"></a>01104             <span class="keywordflow">return</span> t;
    1129. 

  1129. <a name="l01105"></a>01105         }
    1130. 

  1130. <a name="l01106"></a>01106         <span class="comment">// Another dispatcher</span>
    1131. 

  1131. <a name="l01107"></a>01107         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    1132. 

  1132. <a name="l01108"></a>01108         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1133. 

  1133. <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,
    1134. 

  1134. <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>) {
    1135. 

  1135. <a name="l01111"></a>01111             <span class="keyword">typedef</span> <span class="keyword">typename</span> I1::iterator_category iterator1_category;
    1136. 

  1136. <a name="l01112"></a>01112             <span class="keyword">typedef</span> <span class="keyword">typename</span> I2::iterator_category iterator2_category;
    1137. 

  1137. <a name="l01113"></a>01113             <span class="keywordflow">return</span> apply (it1, it1_end, it2, it2_end, iterator1_category (), iterator2_category ());
    1138. 

  1138. <a name="l01114"></a>01114         }
    1139. 

  1139. <a name="l01115"></a>01115     };
    1140. 

  1140. <a name="l01116"></a>01116 
    1141. 

  1141. <a name="l01117"></a>01117     <span class="comment">// Binary returning matrix</span>
    1142. 

  1142. <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;
    1143. 

  1143. <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> {
    1144. 

  1144. <a name="l01120"></a>01120         <span class="keyword">typedef</span> <span class="keyword">typename</span> M1::size_type size_type;
    1145. 

  1145. <a name="l01121"></a>01121         <span class="keyword">typedef</span> <span class="keyword">typename</span> M1::difference_type difference_type;
    1146. 

  1146. <a name="l01122"></a>01122         <span class="keyword">typedef</span> TV value_type;
    1147. 

  1147. <a name="l01123"></a>01123         <span class="keyword">typedef</span> TV result_type;
    1148. 

  1148. <a name="l01124"></a>01124     };
    1149. 

  1149. <a name="l01125"></a>01125 
    1150. 

  1150. <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;
    1151. 

  1151. <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>:
    1152. 

  1152. <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; {
    1153. 

  1153. <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;
    1154. 

  1154. <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;
    1155. 

  1155. <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;
    1156. 

  1156. <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;
    1157. 

  1157. <a name="l01133"></a>01133 
    1158. 

  1158. <a name="l01134"></a>01134         <span class="keyword">template</span>&lt;<span class="keyword">class</span> C1, <span class="keyword">class</span> C2&gt;
    1159. 

  1159. <a name="l01135"></a>01135         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1160. 

  1160. <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,
    1161. 

  1161. <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,
    1162. 

  1162. <a name="l01138"></a>01138                            size_type i, size_type j) {
    1163. 

  1163. <a name="l01139"></a>01139 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_SIMD</span>
    1164. 

  1164. <a name="l01140"></a>01140 <span class="preprocessor"></span>            <span class="keyword">using namespace </span>raw;
    1165. 

  1165. <a name="l01141"></a>01141             size_type size = BOOST_UBLAS_SAME (c1 ().size2 (), c2 ().sizc1 ());
    1166. 

  1166. <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 ());
    1167. 

  1167. <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 ());
    1168. 

  1168. <a name="l01144"></a>01144             size_type s1 = stride2 (c1 ());
    1169. 

  1169. <a name="l01145"></a>01145             size_type s2 = stride1 (c2 ());
    1170. 

  1170. <a name="l01146"></a>01146             result_type t = result_type (0);
    1171. 

  1171. <a name="l01147"></a>01147             <span class="keywordflow">if</span> (s1 == 1 &amp;&amp; s2 == 1) {
    1172. 

  1172. <a name="l01148"></a>01148                 <span class="keywordflow">for</span> (size_type k = 0; k &lt; size; ++ k)
    1173. 

  1173. <a name="l01149"></a>01149                     t += data1 [k] * data2 [k];
    1174. 

  1174. <a name="l01150"></a>01150             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s2 == 1) {
    1175. 

  1175. <a name="l01151"></a>01151                 <span class="keywordflow">for</span> (size_type k = 0, k1 = 0; k &lt; size; ++ k, k1 += s1)
    1176. 

  1176. <a name="l01152"></a>01152                     t += data1 [k1] * data2 [k];
    1177. 

  1177. <a name="l01153"></a>01153             } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s1 == 1) {
    1178. 

  1178. <a name="l01154"></a>01154                 <span class="keywordflow">for</span> (size_type k = 0, k2 = 0; k &lt; size; ++ k, k2 += s2)
    1179. 

  1179. <a name="l01155"></a>01155                     t += data1 [k] * data2 [k2];
    1180. 

  1180. <a name="l01156"></a>01156             } <span class="keywordflow">else</span> {
    1181. 

  1181. <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)
    1182. 

  1182. <a name="l01158"></a>01158                     t += data1 [k1] * data2 [k2];
    1183. 

  1183. <a name="l01159"></a>01159             }
    1184. 

  1184. <a name="l01160"></a>01160             <span class="keywordflow">return</span> t;
    1185. 

  1185. <a name="l01161"></a>01161 <span class="preprocessor">#elif defined(BOOST_UBLAS_HAVE_BINDINGS)</span>
    1186. 

  1186. <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));
    1187. 

  1187. <a name="l01163"></a>01163 <span class="preprocessor">#else</span>
    1188. 

  1188. <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));
    1189. 

  1189. <a name="l01165"></a>01165 <span class="preprocessor">#endif</span>
    1190. 

  1190. <a name="l01166"></a>01166 <span class="preprocessor"></span>        }
    1191. 

  1191. <a name="l01167"></a>01167         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E1, <span class="keyword">class</span> E2&gt;
    1192. 

  1192. <a name="l01168"></a>01168         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1193. 

  1193. <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,
    1194. 

  1194. <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,
    1195. 

  1195. <a name="l01171"></a>01171                            size_type i, size_type j) {
    1196. 

  1196. <a name="l01172"></a>01172             size_type size = BOOST_UBLAS_SAME (e1 ().size2 (), e2 ().size1 ());
    1197. 

  1197. <a name="l01173"></a>01173             result_type t = result_type (0);
    1198. 

  1198. <a name="l01174"></a>01174 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
    1199. 

  1199. <a name="l01175"></a>01175 <span class="preprocessor"></span>            <span class="keywordflow">for</span> (size_type k = 0; k &lt; size; ++ k)
    1200. 

  1200. <a name="l01176"></a>01176                 t += e1 () (i, k) * e2 () (k, j);
    1201. 

  1201. <a name="l01177"></a>01177 <span class="preprocessor">#else</span>
    1202. 

  1202. <a name="l01178"></a>01178 <span class="preprocessor"></span>            size_type k (0);
    1203. 

  1203. <a name="l01179"></a>01179             DD (size, 4, r, (t += e1 () (i, k) * e2 () (k, j), ++ k));
    1204. 

  1204. <a name="l01180"></a>01180 <span class="preprocessor">#endif</span>
    1205. 

  1205. <a name="l01181"></a>01181 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
    1206. 

  1206. <a name="l01182"></a>01182         }
    1207. 

  1207. <a name="l01183"></a>01183         <span class="comment">// Dense case</span>
    1208. 

  1208. <a name="l01184"></a>01184         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    1209. 

  1209. <a name="l01185"></a>01185         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1210. 

  1210. <a name="l01186"></a>01186         result_type apply (difference_type size, I1 it1, I2 it2) {
    1211. 

  1211. <a name="l01187"></a>01187             result_type t = result_type (0);
    1212. 

  1212. <a name="l01188"></a>01188 <span class="preprocessor">#ifndef BOOST_UBLAS_USE_DUFF_DEVICE</span>
    1213. 

  1213. <a name="l01189"></a>01189 <span class="preprocessor"></span>            <span class="keywordflow">while</span> (-- size &gt;= 0)
    1214. 

  1214. <a name="l01190"></a>01190                 t += *it1 * *it2, ++ it1, ++ it2;
    1215. 

  1215. <a name="l01191"></a>01191 <span class="preprocessor">#else</span>
    1216. 

  1216. <a name="l01192"></a>01192 <span class="preprocessor"></span>            DD (size, 4, r, (t += *it1 * *it2, ++ it1, ++ it2));
    1217. 

  1217. <a name="l01193"></a>01193 <span class="preprocessor">#endif</span>
    1218. 

  1218. <a name="l01194"></a>01194 <span class="preprocessor"></span>            <span class="keywordflow">return</span> t;
    1219. 

  1219. <a name="l01195"></a>01195         }
    1220. 

  1220. <a name="l01196"></a>01196         <span class="comment">// Packed case</span>
    1221. 

  1221. <a name="l01197"></a>01197         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    1222. 

  1222. <a name="l01198"></a>01198         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1223. 

  1223. <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>) {
    1224. 

  1224. <a name="l01200"></a>01200             result_type t = result_type (0);
    1225. 

  1225. <a name="l01201"></a>01201             difference_type it1_size (it1_end - it1);
    1226. 

  1226. <a name="l01202"></a>01202             difference_type it2_size (it2_end - it2);
    1227. 

  1227. <a name="l01203"></a>01203             difference_type diff (0);
    1228. 

  1228. <a name="l01204"></a>01204             <span class="keywordflow">if</span> (it1_size &gt; 0 &amp;&amp; it2_size &gt; 0)
    1229. 

  1229. <a name="l01205"></a>01205                 diff = it2.index1 () - it1.index2 ();
    1230. 

  1230. <a name="l01206"></a>01206             <span class="keywordflow">if</span> (diff != 0) {
    1231. 

  1231. <a name="l01207"></a>01207                 difference_type size = (std::min) (diff, it1_size);
    1232. 

  1232. <a name="l01208"></a>01208                 <span class="keywordflow">if</span> (size &gt; 0) {
    1233. 

  1233. <a name="l01209"></a>01209                     it1 += size;
    1234. 

  1234. <a name="l01210"></a>01210                     it1_size -= size;
    1235. 

  1235. <a name="l01211"></a>01211                     diff -= size;
    1236. 

  1236. <a name="l01212"></a>01212                 }
    1237. 

  1237. <a name="l01213"></a>01213                 size = (std::min) (- diff, it2_size);
    1238. 

  1238. <a name="l01214"></a>01214                 <span class="keywordflow">if</span> (size &gt; 0) {
    1239. 

  1239. <a name="l01215"></a>01215                     it2 += size;
    1240. 

  1240. <a name="l01216"></a>01216                     it2_size -= size;
    1241. 

  1241. <a name="l01217"></a>01217                     diff += size;
    1242. 

  1242. <a name="l01218"></a>01218                 }
    1243. 

  1243. <a name="l01219"></a>01219             }
    1244. 

  1244. <a name="l01220"></a>01220             difference_type size ((std::min) (it1_size, it2_size));
    1245. 

  1245. <a name="l01221"></a>01221             <span class="keywordflow">while</span> (-- size &gt;= 0)
    1246. 

  1246. <a name="l01222"></a>01222                 t += *it1 * *it2, ++ it1, ++ it2;
    1247. 

  1247. <a name="l01223"></a>01223             <span class="keywordflow">return</span> t;
    1248. 

  1248. <a name="l01224"></a>01224         }
    1249. 

  1249. <a name="l01225"></a>01225         <span class="comment">// Sparse case</span>
    1250. 

  1250. <a name="l01226"></a>01226         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I1, <span class="keyword">class</span> I2&gt;
    1251. 

  1251. <a name="l01227"></a>01227         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1252. 

  1252. <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>) {
    1253. 

  1253. <a name="l01229"></a>01229             result_type t = result_type (0);
    1254. 

  1254. <a name="l01230"></a>01230             <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
    1255. 

  1255. <a name="l01231"></a>01231                 size_type it1_index = it1.index2 (), it2_index = it2.index1 ();
    1256. 

  1256. <a name="l01232"></a>01232                 <span class="keywordflow">while</span> (<span class="keyword">true</span>) {
    1257. 

  1257. <a name="l01233"></a>01233                     difference_type compare = difference_type (it1_index - it2_index);
    1258. 

  1258. <a name="l01234"></a>01234                     <span class="keywordflow">if</span> (compare == 0) {
    1259. 

  1259. <a name="l01235"></a>01235                         t += *it1 * *it2, ++ it1, ++ it2;
    1260. 

  1260. <a name="l01236"></a>01236                         <span class="keywordflow">if</span> (it1 != it1_end &amp;&amp; it2 != it2_end) {
    1261. 

  1261. <a name="l01237"></a>01237                             it1_index = it1.index2 ();
    1262. 

  1262. <a name="l01238"></a>01238                             it2_index = it2.index1 ();
    1263. 

  1263. <a name="l01239"></a>01239                         } <span class="keywordflow">else</span>
    1264. 

  1264. <a name="l01240"></a>01240                             <span class="keywordflow">break</span>;
    1265. 

  1265. <a name="l01241"></a>01241                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &lt; 0) {
    1266. 

  1266. <a name="l01242"></a>01242                         increment (it1, it1_end, - compare);
    1267. 

  1267. <a name="l01243"></a>01243                         <span class="keywordflow">if</span> (it1 != it1_end)
    1268. 

  1268. <a name="l01244"></a>01244                             it1_index = it1.index2 ();
    1269. 

  1269. <a name="l01245"></a>01245                         <span class="keywordflow">else</span>
    1270. 

  1270. <a name="l01246"></a>01246                             <span class="keywordflow">break</span>;
    1271. 

  1271. <a name="l01247"></a>01247                     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compare &gt; 0) {
    1272. 

  1272. <a name="l01248"></a>01248                         increment (it2, it2_end, compare);
    1273. 

  1273. <a name="l01249"></a>01249                         <span class="keywordflow">if</span> (it2 != it2_end)
    1274. 

  1274. <a name="l01250"></a>01250                             it2_index = it2.index1 ();
    1275. 

  1275. <a name="l01251"></a>01251                         <span class="keywordflow">else</span>
    1276. 

  1276. <a name="l01252"></a>01252                             <span class="keywordflow">break</span>;
    1277. 

  1277. <a name="l01253"></a>01253                     }
    1278. 

  1278. <a name="l01254"></a>01254                 }
    1279. 

  1279. <a name="l01255"></a>01255             }
    1280. 

  1280. <a name="l01256"></a>01256             <span class="keywordflow">return</span> t;
    1281. 

  1281. <a name="l01257"></a>01257         }
    1282. 

  1282. <a name="l01258"></a>01258     };
    1283. 

  1283. <a name="l01259"></a>01259 
    1284. 

  1284. <a name="l01260"></a>01260     <span class="comment">// Unary returning scalar norm</span>
    1285. 

  1285. <a name="l01261"></a>01261     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M&gt;
    1286. 

  1286. <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> {
    1287. 

  1287. <a name="l01263"></a>01263         <span class="keyword">typedef</span> <span class="keyword">typename</span> M::value_type value_type;
    1288. 

  1288. <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;
    1289. 

  1289. <a name="l01265"></a>01265         <span class="keyword">typedef</span> real_type result_type;
    1290. 

  1290. <a name="l01266"></a>01266     };
    1291. 

  1291. <a name="l01267"></a>01267 
    1292. 

  1292. <a name="l01268"></a>01268     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M&gt;
    1293. 

  1293. <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>:
    1294. 

  1294. <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; {
    1295. 

  1295. <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;
    1296. 

  1296. <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;
    1297. 

  1297. <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;
    1298. 

  1298. <a name="l01274"></a>01274 
    1299. 

  1299. <a name="l01275"></a>01275         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
    1300. 

  1300. <a name="l01276"></a>01276         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1301. 

  1301. <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) {
    1302. 

  1302. <a name="l01278"></a>01278             real_type t = real_type ();
    1303. 

  1303. <a name="l01279"></a>01279             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type matrix_size_type;
    1304. 

  1304. <a name="l01280"></a>01280             matrix_size_type size2 (e ().size2 ());
    1305. 

  1305. <a name="l01281"></a>01281             <span class="keywordflow">for</span> (matrix_size_type j = 0; j &lt; size2; ++ j) {
    1306. 

  1306. <a name="l01282"></a>01282                 real_type u = real_type ();
    1307. 

  1307. <a name="l01283"></a>01283                 matrix_size_type size1 (e ().size1 ());
    1308. 

  1308. <a name="l01284"></a>01284                 <span class="keywordflow">for</span> (matrix_size_type i = 0; i &lt; size1; ++ i) {
    1309. 

  1309. <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)));
    1310. 

  1310. <a name="l01286"></a>01286                     u += v;
    1311. 

  1311. <a name="l01287"></a>01287                 }
    1312. 

  1312. <a name="l01288"></a>01288                 <span class="keywordflow">if</span> (u &gt; t)
    1313. 

  1313. <a name="l01289"></a>01289                     t = u;
    1314. 

  1314. <a name="l01290"></a>01290             }
    1315. 

  1315. <a name="l01291"></a>01291             <span class="keywordflow">return</span> t; 
    1316. 

  1316. <a name="l01292"></a>01292         }
    1317. 

  1317. <a name="l01293"></a>01293     };
    1318. 

  1318. <a name="l01294"></a>01294 
    1319. 

  1319. <a name="l01295"></a>01295     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M&gt;
    1320. 

  1320. <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>:
    1321. 

  1321. <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; {
    1322. 

  1322. <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;
    1323. 

  1323. <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;
    1324. 

  1324. <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;
    1325. 

  1325. <a name="l01301"></a>01301 
    1326. 

  1326. <a name="l01302"></a>01302         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
    1327. 

  1327. <a name="l01303"></a>01303         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1328. 

  1328. <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) { 
    1329. 

  1329. <a name="l01305"></a>01305             real_type t = real_type ();
    1330. 

  1330. <a name="l01306"></a>01306             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type matrix_size_type;
    1331. 

  1331. <a name="l01307"></a>01307             matrix_size_type size1 (e ().size1 ());
    1332. 

  1332. <a name="l01308"></a>01308             <span class="keywordflow">for</span> (matrix_size_type i = 0; i &lt; size1; ++ i) {
    1333. 

  1333. <a name="l01309"></a>01309                 matrix_size_type size2 (e ().size2 ());
    1334. 

  1334. <a name="l01310"></a>01310                 <span class="keywordflow">for</span> (matrix_size_type j = 0; j &lt; size2; ++ j) {
    1335. 

  1335. <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)));
    1336. 

  1336. <a name="l01312"></a>01312                     t +=  u * u;
    1337. 

  1337. <a name="l01313"></a>01313                 }
    1338. 

  1338. <a name="l01314"></a>01314             }
    1339. 

  1339. <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); 
    1340. 

  1340. <a name="l01316"></a>01316         }
    1341. 

  1341. <a name="l01317"></a>01317     };
    1342. 

  1342. <a name="l01318"></a>01318 
    1343. 

  1343. <a name="l01319"></a>01319     <span class="keyword">template</span>&lt;<span class="keyword">class</span> M&gt;
    1344. 

  1344. <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>: 
    1345. 

  1345. <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; {
    1346. 

  1346. <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;
    1347. 

  1347. <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;
    1348. 

  1348. <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;
    1349. 

  1349. <a name="l01325"></a>01325 
    1350. 

  1350. <a name="l01326"></a>01326         <span class="keyword">template</span>&lt;<span class="keyword">class</span> E&gt;
    1351. 

  1351. <a name="l01327"></a>01327         <span class="keyword">static</span> BOOST_UBLAS_INLINE
    1352. 

  1352. <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) {
    1353. 

  1353. <a name="l01329"></a>01329             real_type t = real_type ();
    1354. 

  1354. <a name="l01330"></a>01330             <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type matrix_size_type;
    1355. 

  1355. <a name="l01331"></a>01331             matrix_size_type size1 (e ().size1 ());
    1356. 

  1356. <a name="l01332"></a>01332             <span class="keywordflow">for</span> (matrix_size_type i = 0; i &lt; size1; ++ i) {
    1357. 

  1357. <a name="l01333"></a>01333                 real_type u = real_type ();
    1358. 

  1358. <a name="l01334"></a>01334                 matrix_size_type size2 (e ().size2 ());
    1359. 

  1359. <a name="l01335"></a>01335                 <span class="keywordflow">for</span> (matrix_size_type j = 0; j &lt; size2; ++ j) {
    1360. 

  1360. <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)));
    1361. 

  1361. <a name="l01337"></a>01337                     u += v;
    1362. 

  1362. <a name="l01338"></a>01338                 }
    1363. 

  1363. <a name="l01339"></a>01339                 <span class="keywordflow">if</span> (u &gt; t) 
    1364. 

  1364. <a name="l01340"></a>01340                     t = u;  
    1365. 

  1365. <a name="l01341"></a>01341             }
    1366. 

  1366. <a name="l01342"></a>01342             <span class="keywordflow">return</span> t; 
    1367. 

  1367. <a name="l01343"></a>01343         }
    1368. 

  1368. <a name="l01344"></a>01344     };
    1369. 

  1369. <a name="l01345"></a>01345 
    1370. 

  1370. <a name="l01346"></a>01346     <span class="comment">// forward declaration</span>
    1371. 

  1371. <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>;
    1372. 

  1372. <a name="l01348"></a>01348 
    1373. 

  1373. <a name="l01349"></a>01349     <span class="comment">// This functor defines storage layout and it&apos;s properties</span>
    1374. 

  1374. <a name="l01350"></a>01350     <span class="comment">// matrix (i,j) -&gt; storage [i * size_i + j]</span>
    1375. 

  1375. <a name="l01351"></a>01351     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z, <span class="keyword">class</span> D&gt;
    1376. 

  1376. <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> {
    1377. 

  1377. <a name="l01353"></a>01353         <span class="keyword">typedef</span> Z size_type;
    1378. 

  1378. <a name="l01354"></a>01354         <span class="keyword">typedef</span> D difference_type;
    1379. 

  1379. <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>;
    1380. 

  1380. <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>;
    1381. 

  1381. <a name="l01357"></a>01357 
    1382. 

  1382. <a name="l01358"></a>01358         <span class="keyword">static</span>
    1383. 

  1383. <a name="l01359"></a>01359         BOOST_UBLAS_INLINE
    1384. 

  1384. <a name="l01360"></a>01360         size_type storage_size (size_type size_i, size_type size_j) {
    1385. 

  1385. <a name="l01361"></a>01361             <span class="comment">// Guard against size_type overflow</span>
    1386. 

  1386. <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> ());
    1387. 

  1387. <a name="l01363"></a>01363             <span class="keywordflow">return</span> size_i * size_j;
    1388. 

  1388. <a name="l01364"></a>01364         }
    1389. 

  1389. <a name="l01365"></a>01365 
    1390. 

  1390. <a name="l01366"></a>01366         <span class="comment">// Indexing conversion to storage element</span>
    1391. 

  1391. <a name="l01367"></a>01367         <span class="keyword">static</span>
    1392. 

  1392. <a name="l01368"></a>01368         BOOST_UBLAS_INLINE
    1393. 

  1393. <a name="l01369"></a>01369         size_type element (size_type i, size_type size_i, size_type j, size_type size_j) {
    1394. 

  1394. <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> ());
    1395. 

  1395. <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> ());
    1396. 

  1396. <a name="l01372"></a>01372             detail::ignore_unused_variable_warning(size_i);
    1397. 

  1397. <a name="l01373"></a>01373             <span class="comment">// Guard against size_type overflow</span>
    1398. 

  1398. <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> ());
    1399. 

  1399. <a name="l01375"></a>01375             <span class="keywordflow">return</span> i * size_j + j;
    1400. 

  1400. <a name="l01376"></a>01376         }
    1401. 

  1401. <a name="l01377"></a>01377         <span class="keyword">static</span>
    1402. 

  1402. <a name="l01378"></a>01378         BOOST_UBLAS_INLINE
    1403. 

  1403. <a name="l01379"></a>01379         size_type address (size_type i, size_type size_i, size_type j, size_type size_j) {
    1404. 

  1404. <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> ());
    1405. 

  1405. <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> ());
    1406. 

  1406. <a name="l01382"></a>01382             <span class="comment">// Guard against size_type overflow - address may be size_j past end of storage</span>
    1407. 

  1407. <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> ());
    1408. 

  1408. <a name="l01384"></a>01384             detail::ignore_unused_variable_warning(size_i);
    1409. 

  1409. <a name="l01385"></a>01385             <span class="keywordflow">return</span> i * size_j + j;
    1410. 

  1410. <a name="l01386"></a>01386         }
    1411. 

  1411. <a name="l01387"></a>01387 
    1412. 

  1412. <a name="l01388"></a>01388         <span class="comment">// Storage element to index conversion</span>
    1413. 

  1413. <a name="l01389"></a>01389         <span class="keyword">static</span>
    1414. 

  1414. <a name="l01390"></a>01390         BOOST_UBLAS_INLINE
    1415. 

  1415. <a name="l01391"></a>01391         difference_type distance_i (difference_type k, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
    1416. 

  1416. <a name="l01392"></a>01392             <span class="keywordflow">return</span> size_j != 0 ? k / size_j : 0;
    1417. 

  1417. <a name="l01393"></a>01393         }
    1418. 

  1418. <a name="l01394"></a>01394         <span class="keyword">static</span>
    1419. 

  1419. <a name="l01395"></a>01395         BOOST_UBLAS_INLINE
    1420. 

  1420. <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>) {
    1421. 

  1421. <a name="l01397"></a>01397             <span class="keywordflow">return</span> k;
    1422. 

  1422. <a name="l01398"></a>01398         }
    1423. 

  1423. <a name="l01399"></a>01399         <span class="keyword">static</span>
    1424. 

  1424. <a name="l01400"></a>01400         BOOST_UBLAS_INLINE
    1425. 

  1425. <a name="l01401"></a>01401         size_type index_i (difference_type k, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
    1426. 

  1426. <a name="l01402"></a>01402             <span class="keywordflow">return</span> size_j != 0 ? k / size_j : 0;
    1427. 

  1427. <a name="l01403"></a>01403         }
    1428. 

  1428. <a name="l01404"></a>01404         <span class="keyword">static</span>
    1429. 

  1429. <a name="l01405"></a>01405         BOOST_UBLAS_INLINE
    1430. 

  1430. <a name="l01406"></a>01406         size_type index_j (difference_type k, size_type <span class="comment">/* size_i */</span>, size_type size_j) {
    1431. 

  1431. <a name="l01407"></a>01407             <span class="keywordflow">return</span> size_j != 0 ? k % size_j : 0;
    1432. 

  1432. <a name="l01408"></a>01408         }
    1433. 

  1433. <a name="l01409"></a>01409         <span class="keyword">static</span>
    1434. 

  1434. <a name="l01410"></a>01410         BOOST_UBLAS_INLINE
    1435. 

  1435. <a name="l01411"></a>01411         <span class="keywordtype">bool</span> fast_i () {
    1436. 

  1436. <a name="l01412"></a>01412             <span class="keywordflow">return</span> <span class="keyword">false</span>;
    1437. 

  1437. <a name="l01413"></a>01413         }
    1438. 

  1438. <a name="l01414"></a>01414         <span class="keyword">static</span>
    1439. 

  1439. <a name="l01415"></a>01415         BOOST_UBLAS_INLINE
    1440. 

  1440. <a name="l01416"></a>01416         <span class="keywordtype">bool</span> fast_j () {
    1441. 

  1441. <a name="l01417"></a>01417             <span class="keywordflow">return</span> <span class="keyword">true</span>;
    1442. 

  1442. <a name="l01418"></a>01418         }
    1443. 

  1443. <a name="l01419"></a>01419 
    1444. 

  1444. <a name="l01420"></a>01420         <span class="comment">// Iterating storage elements</span>
    1445. 

  1445. <a name="l01421"></a>01421         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1446. 

  1446. <a name="l01422"></a>01422         <span class="keyword">static</span>
    1447. 

  1447. <a name="l01423"></a>01423         BOOST_UBLAS_INLINE
    1448. 

  1448. <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) {
    1449. 

  1449. <a name="l01425"></a>01425             it += size_j;
    1450. 

  1450. <a name="l01426"></a>01426         }
    1451. 

  1451. <a name="l01427"></a>01427         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1452. 

  1452. <a name="l01428"></a>01428         <span class="keyword">static</span>
    1453. 

  1453. <a name="l01429"></a>01429         BOOST_UBLAS_INLINE
    1454. 

  1454. <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) {
    1455. 

  1455. <a name="l01431"></a>01431             it += n * size_j;
    1456. 

  1456. <a name="l01432"></a>01432         }
    1457. 

  1457. <a name="l01433"></a>01433         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1458. 

  1458. <a name="l01434"></a>01434         <span class="keyword">static</span>
    1459. 

  1459. <a name="l01435"></a>01435         BOOST_UBLAS_INLINE
    1460. 

  1460. <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) {
    1461. 

  1461. <a name="l01437"></a>01437             it -= size_j;
    1462. 

  1462. <a name="l01438"></a>01438         }
    1463. 

  1463. <a name="l01439"></a>01439         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1464. 

  1464. <a name="l01440"></a>01440         <span class="keyword">static</span>
    1465. 

  1465. <a name="l01441"></a>01441         BOOST_UBLAS_INLINE
    1466. 

  1466. <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) {
    1467. 

  1467. <a name="l01443"></a>01443             it -= n * size_j;
    1468. 

  1468. <a name="l01444"></a>01444         }
    1469. 

  1469. <a name="l01445"></a>01445         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1470. 

  1470. <a name="l01446"></a>01446         <span class="keyword">static</span>
    1471. 

  1471. <a name="l01447"></a>01447         BOOST_UBLAS_INLINE
    1472. 

  1472. <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>) {
    1473. 

  1473. <a name="l01449"></a>01449             ++ it;
    1474. 

  1474. <a name="l01450"></a>01450         }
    1475. 

  1475. <a name="l01451"></a>01451         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1476. 

  1476. <a name="l01452"></a>01452         <span class="keyword">static</span>
    1477. 

  1477. <a name="l01453"></a>01453         BOOST_UBLAS_INLINE
    1478. 

  1478. <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>) {
    1479. 

  1479. <a name="l01455"></a>01455             it += n;
    1480. 

  1480. <a name="l01456"></a>01456         }
    1481. 

  1481. <a name="l01457"></a>01457         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1482. 

  1482. <a name="l01458"></a>01458         <span class="keyword">static</span>
    1483. 

  1483. <a name="l01459"></a>01459         BOOST_UBLAS_INLINE
    1484. 

  1484. <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>) {
    1485. 

  1485. <a name="l01461"></a>01461             -- it;
    1486. 

  1486. <a name="l01462"></a>01462         }
    1487. 

  1487. <a name="l01463"></a>01463         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1488. 

  1488. <a name="l01464"></a>01464         <span class="keyword">static</span>
    1489. 

  1489. <a name="l01465"></a>01465         BOOST_UBLAS_INLINE
    1490. 

  1490. <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>) {
    1491. 

  1491. <a name="l01467"></a>01467             it -= n;
    1492. 

  1492. <a name="l01468"></a>01468         }
    1493. 

  1493. <a name="l01469"></a>01469 
    1494. 

  1494. <a name="l01470"></a>01470         <span class="comment">// Triangular access</span>
    1495. 

  1495. <a name="l01471"></a>01471         <span class="keyword">static</span>
    1496. 

  1496. <a name="l01472"></a>01472         BOOST_UBLAS_INLINE
    1497. 

  1497. <a name="l01473"></a>01473         size_type triangular_size (size_type size_i, size_type size_j) {
    1498. 

  1498. <a name="l01474"></a>01474             size_type size = (std::max) (size_i, size_j);
    1499. 

  1499. <a name="l01475"></a>01475             <span class="comment">// Guard against size_type overflow - simplified</span>
    1500. 

  1500. <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> ());
    1501. 

  1501. <a name="l01477"></a>01477             <span class="keywordflow">return</span> ((size + 1) * size) / 2;
    1502. 

  1502. <a name="l01478"></a>01478         }
    1503. 

  1503. <a name="l01479"></a>01479         <span class="keyword">static</span>
    1504. 

  1504. <a name="l01480"></a>01480         BOOST_UBLAS_INLINE
    1505. 

  1505. <a name="l01481"></a>01481         size_type lower_element (size_type i, size_type size_i, size_type j, size_type size_j) {
    1506. 

  1506. <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> ());
    1507. 

  1507. <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> ());
    1508. 

  1508. <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> ());
    1509. 

  1509. <a name="l01485"></a>01485             detail::ignore_unused_variable_warning(size_i);
    1510. 

  1510. <a name="l01486"></a>01486             detail::ignore_unused_variable_warning(size_j);
    1511. 

  1511. <a name="l01487"></a>01487             <span class="comment">// FIXME size_type overflow</span>
    1512. 

  1512. <a name="l01488"></a>01488             <span class="comment">// sigma_i (i + 1) = (i + 1) * i / 2</span>
    1513. 

  1513. <a name="l01489"></a>01489             <span class="comment">// i = 0 1 2 3, sigma = 0 1 3 6</span>
    1514. 

  1514. <a name="l01490"></a>01490             <span class="keywordflow">return</span> ((i + 1) * i) / 2 + j;
    1515. 

  1515. <a name="l01491"></a>01491         }
    1516. 

  1516. <a name="l01492"></a>01492         <span class="keyword">static</span>
    1517. 

  1517. <a name="l01493"></a>01493         BOOST_UBLAS_INLINE
    1518. 

  1518. <a name="l01494"></a>01494         size_type upper_element (size_type i, size_type size_i, size_type j, size_type size_j) {
    1519. 

  1519. <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> ());
    1520. 

  1520. <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> ());
    1521. 

  1521. <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> ());
    1522. 

  1522. <a name="l01498"></a>01498             <span class="comment">// FIXME size_type overflow</span>
    1523. 

  1523. <a name="l01499"></a>01499             <span class="comment">// sigma_i (size - i) = size * i - i * (i - 1) / 2</span>
    1524. 

  1524. <a name="l01500"></a>01500             <span class="comment">// i = 0 1 2 3, sigma = 0 4 7 9</span>
    1525. 

  1525. <a name="l01501"></a>01501             <span class="keywordflow">return</span> (i * (2 * (std::max) (size_i, size_j) - i + 1)) / 2 + j - i;
    1526. 

  1526. <a name="l01502"></a>01502         }
    1527. 

  1527. <a name="l01503"></a>01503 
    1528. 

  1528. <a name="l01504"></a>01504         <span class="comment">// Major and minor indices</span>
    1529. 

  1529. <a name="l01505"></a>01505         <span class="keyword">static</span>
    1530. 

  1530. <a name="l01506"></a>01506         BOOST_UBLAS_INLINE
    1531. 

  1531. <a name="l01507"></a>01507         size_type index_M (size_type index1, size_type <span class="comment">/* index2 */</span>) {
    1532. 

  1532. <a name="l01508"></a>01508             <span class="keywordflow">return</span> index1;
    1533. 

  1533. <a name="l01509"></a>01509         }
    1534. 

  1534. <a name="l01510"></a>01510         <span class="keyword">static</span>
    1535. 

  1535. <a name="l01511"></a>01511         BOOST_UBLAS_INLINE
    1536. 

  1536. <a name="l01512"></a>01512         size_type index_m (size_type <span class="comment">/* index1 */</span>, size_type index2) {
    1537. 

  1537. <a name="l01513"></a>01513             <span class="keywordflow">return</span> index2;
    1538. 

  1538. <a name="l01514"></a>01514         }
    1539. 

  1539. <a name="l01515"></a>01515         <span class="keyword">static</span>
    1540. 

  1540. <a name="l01516"></a>01516         BOOST_UBLAS_INLINE
    1541. 

  1541. <a name="l01517"></a>01517         size_type size_M (size_type size_i, size_type <span class="comment">/* size_j */</span>) {
    1542. 

  1542. <a name="l01518"></a>01518             <span class="keywordflow">return</span> size_i;
    1543. 

  1543. <a name="l01519"></a>01519         }
    1544. 

  1544. <a name="l01520"></a>01520         <span class="keyword">static</span>
    1545. 

  1545. <a name="l01521"></a>01521         BOOST_UBLAS_INLINE
    1546. 

  1546. <a name="l01522"></a>01522         size_type size_m (size_type <span class="comment">/* size_i */</span>, size_type size_j) {
    1547. 

  1547. <a name="l01523"></a>01523             <span class="keywordflow">return</span> size_j;
    1548. 

  1548. <a name="l01524"></a>01524         }
    1549. 

  1549. <a name="l01525"></a>01525     };
    1550. 

  1550. <a name="l01526"></a>01526 
    1551. 

  1551. <a name="l01527"></a>01527     <span class="comment">// This functor defines storage layout and it&apos;s properties</span>
    1552. 

  1552. <a name="l01528"></a>01528     <span class="comment">// matrix (i,j) -&gt; storage [i + j * size_i]</span>
    1553. 

  1553. <a name="l01529"></a>01529     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z, <span class="keyword">class</span> D&gt;
    1554. 

  1554. <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> {
    1555. 

  1555. <a name="l01531"></a>01531         <span class="keyword">typedef</span> Z size_type;
    1556. 

  1556. <a name="l01532"></a>01532         <span class="keyword">typedef</span> D difference_type;
    1557. 

  1557. <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>;
    1558. 

  1558. <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>;
    1559. 

  1559. <a name="l01535"></a>01535 
    1560. 

  1560. <a name="l01536"></a>01536         <span class="keyword">static</span>
    1561. 

  1561. <a name="l01537"></a>01537         BOOST_UBLAS_INLINE
    1562. 

  1562. <a name="l01538"></a>01538         size_type storage_size (size_type size_i, size_type size_j) {
    1563. 

  1563. <a name="l01539"></a>01539             <span class="comment">// Guard against size_type overflow</span>
    1564. 

  1564. <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> ());
    1565. 

  1565. <a name="l01541"></a>01541             <span class="keywordflow">return</span> size_i * size_j;
    1566. 

  1566. <a name="l01542"></a>01542         }
    1567. 

  1567. <a name="l01543"></a>01543 
    1568. 

  1568. <a name="l01544"></a>01544         <span class="comment">// Indexing conversion to storage element</span>
    1569. 

  1569. <a name="l01545"></a>01545         <span class="keyword">static</span>
    1570. 

  1570. <a name="l01546"></a>01546         BOOST_UBLAS_INLINE
    1571. 

  1571. <a name="l01547"></a>01547         size_type element (size_type i, size_type size_i, size_type j, size_type size_j) {
    1572. 

  1572. <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> ());
    1573. 

  1573. <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> ());
    1574. 

  1574. <a name="l01550"></a>01550             detail::ignore_unused_variable_warning(size_j);
    1575. 

  1575. <a name="l01551"></a>01551             <span class="comment">// Guard against size_type overflow</span>
    1576. 

  1576. <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> ());
    1577. 

  1577. <a name="l01553"></a>01553             <span class="keywordflow">return</span> i + j * size_i;
    1578. 

  1578. <a name="l01554"></a>01554         }
    1579. 

  1579. <a name="l01555"></a>01555         <span class="keyword">static</span>
    1580. 

  1580. <a name="l01556"></a>01556         BOOST_UBLAS_INLINE
    1581. 

  1581. <a name="l01557"></a>01557         size_type address (size_type i, size_type size_i, size_type j, size_type size_j) {
    1582. 

  1582. <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> ());
    1583. 

  1583. <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> ());
    1584. 

  1584. <a name="l01560"></a>01560             detail::ignore_unused_variable_warning(size_j);
    1585. 

  1585. <a name="l01561"></a>01561             <span class="comment">// Guard against size_type overflow - address may be size_i past end of storage</span>
    1586. 

  1586. <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> ());
    1587. 

  1587. <a name="l01563"></a>01563             <span class="keywordflow">return</span> i + j * size_i;
    1588. 

  1588. <a name="l01564"></a>01564         }
    1589. 

  1589. <a name="l01565"></a>01565 
    1590. 

  1590. <a name="l01566"></a>01566         <span class="comment">// Storage element to index conversion</span>
    1591. 

  1591. <a name="l01567"></a>01567         <span class="keyword">static</span>
    1592. 

  1592. <a name="l01568"></a>01568         BOOST_UBLAS_INLINE
    1593. 

  1593. <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>) {
    1594. 

  1594. <a name="l01570"></a>01570             <span class="keywordflow">return</span> k;
    1595. 

  1595. <a name="l01571"></a>01571         }
    1596. 

  1596. <a name="l01572"></a>01572         <span class="keyword">static</span>
    1597. 

  1597. <a name="l01573"></a>01573         BOOST_UBLAS_INLINE
    1598. 

  1598. <a name="l01574"></a>01574         difference_type distance_j (difference_type k, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
    1599. 

  1599. <a name="l01575"></a>01575             <span class="keywordflow">return</span> size_i != 0 ? k / size_i : 0;
    1600. 

  1600. <a name="l01576"></a>01576         }
    1601. 

  1601. <a name="l01577"></a>01577         <span class="keyword">static</span>
    1602. 

  1602. <a name="l01578"></a>01578         BOOST_UBLAS_INLINE
    1603. 

  1603. <a name="l01579"></a>01579         size_type index_i (difference_type k, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
    1604. 

  1604. <a name="l01580"></a>01580             <span class="keywordflow">return</span> size_i != 0 ? k % size_i : 0;
    1605. 

  1605. <a name="l01581"></a>01581         }
    1606. 

  1606. <a name="l01582"></a>01582         <span class="keyword">static</span>
    1607. 

  1607. <a name="l01583"></a>01583         BOOST_UBLAS_INLINE
    1608. 

  1608. <a name="l01584"></a>01584         size_type index_j (difference_type k, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
    1609. 

  1609. <a name="l01585"></a>01585             <span class="keywordflow">return</span> size_i != 0 ? k / size_i : 0;
    1610. 

  1610. <a name="l01586"></a>01586         }
    1611. 

  1611. <a name="l01587"></a>01587         <span class="keyword">static</span>
    1612. 

  1612. <a name="l01588"></a>01588         BOOST_UBLAS_INLINE
    1613. 

  1613. <a name="l01589"></a>01589         <span class="keywordtype">bool</span> fast_i () {
    1614. 

  1614. <a name="l01590"></a>01590             <span class="keywordflow">return</span> <span class="keyword">true</span>;
    1615. 

  1615. <a name="l01591"></a>01591         }
    1616. 

  1616. <a name="l01592"></a>01592         <span class="keyword">static</span>
    1617. 

  1617. <a name="l01593"></a>01593         BOOST_UBLAS_INLINE
    1618. 

  1618. <a name="l01594"></a>01594         <span class="keywordtype">bool</span> fast_j () {
    1619. 

  1619. <a name="l01595"></a>01595             <span class="keywordflow">return</span> <span class="keyword">false</span>;
    1620. 

  1620. <a name="l01596"></a>01596         }
    1621. 

  1621. <a name="l01597"></a>01597 
    1622. 

  1622. <a name="l01598"></a>01598         <span class="comment">// Iterating</span>
    1623. 

  1623. <a name="l01599"></a>01599         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1624. 

  1624. <a name="l01600"></a>01600         <span class="keyword">static</span>
    1625. 

  1625. <a name="l01601"></a>01601         BOOST_UBLAS_INLINE
    1626. 

  1626. <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>) {
    1627. 

  1627. <a name="l01603"></a>01603             ++ it;
    1628. 

  1628. <a name="l01604"></a>01604         }
    1629. 

  1629. <a name="l01605"></a>01605         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1630. 

  1630. <a name="l01606"></a>01606         <span class="keyword">static</span>
    1631. 

  1631. <a name="l01607"></a>01607         BOOST_UBLAS_INLINE
    1632. 

  1632. <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>) {
    1633. 

  1633. <a name="l01609"></a>01609             it += n;
    1634. 

  1634. <a name="l01610"></a>01610         }
    1635. 

  1635. <a name="l01611"></a>01611         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1636. 

  1636. <a name="l01612"></a>01612         <span class="keyword">static</span>
    1637. 

  1637. <a name="l01613"></a>01613         BOOST_UBLAS_INLINE
    1638. 

  1638. <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>) {
    1639. 

  1639. <a name="l01615"></a>01615             -- it;
    1640. 

  1640. <a name="l01616"></a>01616         }
    1641. 

  1641. <a name="l01617"></a>01617         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1642. 

  1642. <a name="l01618"></a>01618         <span class="keyword">static</span>
    1643. 

  1643. <a name="l01619"></a>01619         BOOST_UBLAS_INLINE
    1644. 

  1644. <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>) {
    1645. 

  1645. <a name="l01621"></a>01621             it -= n;
    1646. 

  1646. <a name="l01622"></a>01622         }
    1647. 

  1647. <a name="l01623"></a>01623         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1648. 

  1648. <a name="l01624"></a>01624         <span class="keyword">static</span>
    1649. 

  1649. <a name="l01625"></a>01625         BOOST_UBLAS_INLINE
    1650. 

  1650. <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>) {
    1651. 

  1651. <a name="l01627"></a>01627             it += size_i;
    1652. 

  1652. <a name="l01628"></a>01628         }
    1653. 

  1653. <a name="l01629"></a>01629         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1654. 

  1654. <a name="l01630"></a>01630         <span class="keyword">static</span>
    1655. 

  1655. <a name="l01631"></a>01631         BOOST_UBLAS_INLINE
    1656. 

  1656. <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>) {
    1657. 

  1657. <a name="l01633"></a>01633             it += n * size_i;
    1658. 

  1658. <a name="l01634"></a>01634         }
    1659. 

  1659. <a name="l01635"></a>01635         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1660. 

  1660. <a name="l01636"></a>01636         <span class="keyword">static</span>
    1661. 

  1661. <a name="l01637"></a>01637         BOOST_UBLAS_INLINE
    1662. 

  1662. <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>) {
    1663. 

  1663. <a name="l01639"></a>01639             it -= size_i;
    1664. 

  1664. <a name="l01640"></a>01640         }
    1665. 

  1665. <a name="l01641"></a>01641         <span class="keyword">template</span>&lt;<span class="keyword">class</span> I&gt;
    1666. 

  1666. <a name="l01642"></a>01642         <span class="keyword">static</span>
    1667. 

  1667. <a name="l01643"></a>01643         BOOST_UBLAS_INLINE
    1668. 

  1668. <a name="l01644"></a>01644         <span class="keywordtype">void</span> decrement_j (I &amp;it, difference_type n, size_type size_i, size_type <span class="comment">/* size_j */</span>) {
    1669. 

  1669. <a name="l01645"></a>01645             it -= n* size_i;
    1670. 

  1670. <a name="l01646"></a>01646         }
    1671. 

  1671. <a name="l01647"></a>01647 
    1672. 

  1672. <a name="l01648"></a>01648         <span class="comment">// Triangular access</span>
    1673. 

  1673. <a name="l01649"></a>01649         <span class="keyword">static</span>
    1674. 

  1674. <a name="l01650"></a>01650         BOOST_UBLAS_INLINE
    1675. 

  1675. <a name="l01651"></a>01651         size_type triangular_size (size_type size_i, size_type size_j) {
    1676. 

  1676. <a name="l01652"></a>01652             size_type size = (std::max) (size_i, size_j);
    1677. 

  1677. <a name="l01653"></a>01653             <span class="comment">// Guard against size_type overflow - simplified</span>
    1678. 

  1678. <a name="l01654"></a>01654             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> ());
    1679. 

  1679. <a name="l01655"></a>01655             <span class="keywordflow">return</span> ((size + 1) * size) / 2;
    1680. 

  1680. <a name="l01656"></a>01656         }
    1681. 

  1681. <a name="l01657"></a>01657         <span class="keyword">static</span>
    1682. 

  1682. <a name="l01658"></a>01658         BOOST_UBLAS_INLINE
    1683. 

  1683. <a name="l01659"></a>01659         size_type lower_element (size_type i, size_type size_i, size_type j, size_type size_j) {
    1684. 

  1684. <a name="l01660"></a>01660             BOOST_UBLAS_CHECK (i &lt; size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    1685. 

  1685. <a name="l01661"></a>01661             BOOST_UBLAS_CHECK (j &lt; size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    1686. 

  1686. <a name="l01662"></a>01662             BOOST_UBLAS_CHECK (i &gt;= j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    1687. 

  1687. <a name="l01663"></a>01663             <span class="comment">// FIXME size_type overflow</span>
    1688. 

  1688. <a name="l01664"></a>01664             <span class="comment">// sigma_j (size - j) = size * j - j * (j - 1) / 2</span>
    1689. 

  1689. <a name="l01665"></a>01665             <span class="comment">// j = 0 1 2 3, sigma = 0 4 7 9</span>
    1690. 

  1690. <a name="l01666"></a>01666             <span class="keywordflow">return</span> i - j + (j * (2 * (std::max) (size_i, size_j) - j + 1)) / 2;
    1691. 

  1691. <a name="l01667"></a>01667         }
    1692. 

  1692. <a name="l01668"></a>01668         <span class="keyword">static</span>
    1693. 

  1693. <a name="l01669"></a>01669         BOOST_UBLAS_INLINE
    1694. 

  1694. <a name="l01670"></a>01670         size_type upper_element (size_type i, size_type size_i, size_type j, size_type size_j) {
    1695. 

  1695. <a name="l01671"></a>01671             BOOST_UBLAS_CHECK (i &lt; size_i, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    1696. 

  1696. <a name="l01672"></a>01672             BOOST_UBLAS_CHECK (j &lt; size_j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    1697. 

  1697. <a name="l01673"></a>01673             BOOST_UBLAS_CHECK (i &lt;= j, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    1698. 

  1698. <a name="l01674"></a>01674             <span class="comment">// FIXME size_type overflow</span>
    1699. 

  1699. <a name="l01675"></a>01675             <span class="comment">// sigma_j (j + 1) = (j + 1) * j / 2</span>
    1700. 

  1700. <a name="l01676"></a>01676             <span class="comment">// j = 0 1 2 3, sigma = 0 1 3 6</span>
    1701. 

  1701. <a name="l01677"></a>01677             <span class="keywordflow">return</span> i + ((j + 1) * j) / 2;
    1702. 

  1702. <a name="l01678"></a>01678         }
    1703. 

  1703. <a name="l01679"></a>01679 
    1704. 

  1704. <a name="l01680"></a>01680         <span class="comment">// Major and minor indices</span>
    1705. 

  1705. <a name="l01681"></a>01681         <span class="keyword">static</span>
    1706. 

  1706. <a name="l01682"></a>01682         BOOST_UBLAS_INLINE
    1707. 

  1707. <a name="l01683"></a>01683         size_type index_M (size_type <span class="comment">/* index1 */</span>, size_type index2) {
    1708. 

  1708. <a name="l01684"></a>01684             <span class="keywordflow">return</span> index2;
    1709. 

  1709. <a name="l01685"></a>01685         }
    1710. 

  1710. <a name="l01686"></a>01686         <span class="keyword">static</span>
    1711. 

  1711. <a name="l01687"></a>01687         BOOST_UBLAS_INLINE
    1712. 

  1712. <a name="l01688"></a>01688         size_type index_m (size_type index1, size_type <span class="comment">/* index2 */</span>) {
    1713. 

  1713. <a name="l01689"></a>01689             <span class="keywordflow">return</span> index1;
    1714. 

  1714. <a name="l01690"></a>01690         }
    1715. 

  1715. <a name="l01691"></a>01691         <span class="keyword">static</span>
    1716. 

  1716. <a name="l01692"></a>01692         BOOST_UBLAS_INLINE
    1717. 

  1717. <a name="l01693"></a>01693         size_type size_M (size_type <span class="comment">/* size_i */</span>, size_type size_j) {
    1718. 

  1718. <a name="l01694"></a>01694             <span class="keywordflow">return</span> size_j;
    1719. 

  1719. <a name="l01695"></a>01695         }
    1720. 

  1720. <a name="l01696"></a>01696         <span class="keyword">static</span>
    1721. 

  1721. <a name="l01697"></a>01697         BOOST_UBLAS_INLINE
    1722. 

  1722. <a name="l01698"></a>01698         size_type size_m (size_type size_i, size_type <span class="comment">/* size_j */</span>) {
    1723. 

  1723. <a name="l01699"></a>01699             <span class="keywordflow">return</span> size_i;
    1724. 

  1724. <a name="l01700"></a>01700         }
    1725. 

  1725. <a name="l01701"></a>01701     };
    1726. 

  1726. <a name="l01702"></a>01702 
    1727. 

  1727. <a name="l01703"></a>01703 
    1728. 

  1728. <a name="l01704"></a>01704     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z&gt;
    1729. 

  1729. <a name="l01705"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__full.html">01705</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__full.html">basic_full</a> {
    1730. 

  1730. <a name="l01706"></a>01706         <span class="keyword">typedef</span> Z size_type;
    1731. 

  1731. <a name="l01707"></a>01707 
    1732. 

  1732. <a name="l01708"></a>01708         <span class="keyword">template</span>&lt;<span class="keyword">class</span> L&gt;
    1733. 

  1733. <a name="l01709"></a>01709         <span class="keyword">static</span>
    1734. 

  1734. <a name="l01710"></a>01710         BOOST_UBLAS_INLINE
    1735. 

  1735. <a name="l01711"></a>01711         size_type packed_size (L, size_type size_i, size_type size_j) {
    1736. 

  1736. <a name="l01712"></a>01712             <span class="keywordflow">return</span> L::storage_size (size_i, size_j);
    1737. 

  1737. <a name="l01713"></a>01713         }
    1738. 

  1738. <a name="l01714"></a>01714 
    1739. 

  1739. <a name="l01715"></a>01715         <span class="keyword">static</span>
    1740. 

  1740. <a name="l01716"></a>01716         BOOST_UBLAS_INLINE
    1741. 

  1741. <a name="l01717"></a>01717         <span class="keywordtype">bool</span> zero (size_type <span class="comment">/* i */</span>, size_type <span class="comment">/* j */</span>) {
    1742. 

  1742. <a name="l01718"></a>01718             <span class="keywordflow">return</span> <span class="keyword">false</span>;
    1743. 

  1743. <a name="l01719"></a>01719         }
    1744. 

  1744. <a name="l01720"></a>01720         <span class="keyword">static</span>
    1745. 

  1745. <a name="l01721"></a>01721         BOOST_UBLAS_INLINE
    1746. 

  1746. <a name="l01722"></a>01722         <span class="keywordtype">bool</span> one (size_type <span class="comment">/* i */</span>, size_type <span class="comment">/* j */</span>) {
    1747. 

  1747. <a name="l01723"></a>01723             <span class="keywordflow">return</span> <span class="keyword">false</span>;
    1748. 

  1748. <a name="l01724"></a>01724         }
    1749. 

  1749. <a name="l01725"></a>01725         <span class="keyword">static</span>
    1750. 

  1750. <a name="l01726"></a>01726         BOOST_UBLAS_INLINE
    1751. 

  1751. <a name="l01727"></a>01727         <span class="keywordtype">bool</span> other (size_type <span class="comment">/* i */</span>, size_type <span class="comment">/* j */</span>) {
    1752. 

  1752. <a name="l01728"></a>01728             <span class="keywordflow">return</span> <span class="keyword">true</span>;
    1753. 

  1753. <a name="l01729"></a>01729         }
    1754. 

  1754. <a name="l01730"></a>01730         <span class="comment">// FIXME: this should not be used at all</span>
    1755. 

  1755. <a name="l01731"></a>01731         <span class="keyword">static</span>
    1756. 

  1756. <a name="l01732"></a>01732         BOOST_UBLAS_INLINE
    1757. 

  1757. <a name="l01733"></a>01733         size_type restrict1 (size_type i, size_type <span class="comment">/* j */</span>) {
    1758. 

  1758. <a name="l01734"></a>01734             <span class="keywordflow">return</span> i;
    1759. 

  1759. <a name="l01735"></a>01735         }
    1760. 

  1760. <a name="l01736"></a>01736         <span class="keyword">static</span>
    1761. 

  1761. <a name="l01737"></a>01737         BOOST_UBLAS_INLINE
    1762. 

  1762. <a name="l01738"></a>01738         size_type restrict2 (size_type <span class="comment">/* i */</span>, size_type j) {
    1763. 

  1763. <a name="l01739"></a>01739             <span class="keywordflow">return</span> j;
    1764. 

  1764. <a name="l01740"></a>01740         }
    1765. 

  1765. <a name="l01741"></a>01741         <span class="keyword">static</span>
    1766. 

  1766. <a name="l01742"></a>01742         BOOST_UBLAS_INLINE
    1767. 

  1767. <a name="l01743"></a>01743         size_type mutable_restrict1 (size_type i, size_type <span class="comment">/* j */</span>) {
    1768. 

  1768. <a name="l01744"></a>01744             <span class="keywordflow">return</span> i;
    1769. 

  1769. <a name="l01745"></a>01745         }
    1770. 

  1770. <a name="l01746"></a>01746         <span class="keyword">static</span>
    1771. 

  1771. <a name="l01747"></a>01747         BOOST_UBLAS_INLINE
    1772. 

  1772. <a name="l01748"></a>01748         size_type mutable_restrict2 (size_type <span class="comment">/* i */</span>, size_type j) {
    1773. 

  1773. <a name="l01749"></a>01749             <span class="keywordflow">return</span> j;
    1774. 

  1774. <a name="l01750"></a>01750         }
    1775. 

  1775. <a name="l01751"></a>01751     };
    1776. 

  1776. <a name="l01752"></a>01752 
    1777. 

  1777. <a name="l01753"></a>01753     <span class="keyword">namespace </span>detail {
    1778. 

  1778. <a name="l01754"></a>01754         <span class="keyword">template</span> &lt; <span class="keyword">class</span> L &gt;
    1779. 

  1779. <a name="l01755"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1transposed__structure.html">01755</a>         <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1transposed__structure.html">transposed_structure</a> {
    1780. 

  1780. <a name="l01756"></a>01756             <span class="keyword">typedef</span> <span class="keyword">typename</span> L::size_type size_type;
    1781. 

  1781. <a name="l01757"></a>01757 
    1782. 

  1782. <a name="l01758"></a>01758             <span class="keyword">template</span>&lt;<span class="keyword">class</span> LAYOUT&gt;
    1783. 

  1783. <a name="l01759"></a>01759             <span class="keyword">static</span>
    1784. 

  1784. <a name="l01760"></a>01760             BOOST_UBLAS_INLINE
    1785. 

  1785. <a name="l01761"></a>01761             size_type packed_size (LAYOUT l, size_type size_i, size_type size_j) {
    1786. 

  1786. <a name="l01762"></a>01762                 <span class="keywordflow">return</span> L::packed_size(l, size_j, size_i);
    1787. 

  1787. <a name="l01763"></a>01763             }
    1788. 

  1788. <a name="l01764"></a>01764 
    1789. 

  1789. <a name="l01765"></a>01765             <span class="keyword">static</span>
    1790. 

  1790. <a name="l01766"></a>01766             BOOST_UBLAS_INLINE
    1791. 

  1791. <a name="l01767"></a>01767             <span class="keywordtype">bool</span> zero (size_type i, size_type j) {
    1792. 

  1792. <a name="l01768"></a>01768                 <span class="keywordflow">return</span> L::zero(j, i);
    1793. 

  1793. <a name="l01769"></a>01769             }
    1794. 

  1794. <a name="l01770"></a>01770             <span class="keyword">static</span>
    1795. 

  1795. <a name="l01771"></a>01771             BOOST_UBLAS_INLINE
    1796. 

  1796. <a name="l01772"></a>01772             <span class="keywordtype">bool</span> one (size_type i, size_type j) {
    1797. 

  1797. <a name="l01773"></a>01773                 <span class="keywordflow">return</span> L::one(j, i);
    1798. 

  1798. <a name="l01774"></a>01774             }
    1799. 

  1799. <a name="l01775"></a>01775             <span class="keyword">static</span>
    1800. 

  1800. <a name="l01776"></a>01776             BOOST_UBLAS_INLINE
    1801. 

  1801. <a name="l01777"></a>01777             <span class="keywordtype">bool</span> other (size_type i, size_type j) {
    1802. 

  1802. <a name="l01778"></a>01778                 <span class="keywordflow">return</span> L::other(j, i);
    1803. 

  1803. <a name="l01779"></a>01779             }
    1804. 

  1804. <a name="l01780"></a>01780             <span class="keyword">template</span>&lt;<span class="keyword">class</span> LAYOUT&gt;
    1805. 

  1805. <a name="l01781"></a>01781             <span class="keyword">static</span>
    1806. 

  1806. <a name="l01782"></a>01782             BOOST_UBLAS_INLINE
    1807. 

  1807. <a name="l01783"></a>01783             size_type element (LAYOUT <span class="comment">/* l */</span>, size_type i, size_type size_i, size_type j, size_type size_j) {
    1808. 

  1808. <a name="l01784"></a>01784                 <span class="keywordflow">return</span> L::element(<span class="keyword">typename</span> LAYOUT::transposed_layout(), j, size_j, i, size_i);
    1809. 

  1809. <a name="l01785"></a>01785             }
    1810. 

  1810. <a name="l01786"></a>01786 
    1811. 

  1811. <a name="l01787"></a>01787             <span class="keyword">static</span>
    1812. 

  1812. <a name="l01788"></a>01788             BOOST_UBLAS_INLINE
    1813. 

  1813. <a name="l01789"></a>01789             size_type restrict1 (size_type i, size_type j, size_type size1, size_type size2) {
    1814. 

  1814. <a name="l01790"></a>01790                 <span class="keywordflow">return</span> L::restrict2(j, i, size2, size1);
    1815. 

  1815. <a name="l01791"></a>01791             }
    1816. 

  1816. <a name="l01792"></a>01792             <span class="keyword">static</span>
    1817. 

  1817. <a name="l01793"></a>01793             BOOST_UBLAS_INLINE
    1818. 

  1818. <a name="l01794"></a>01794             size_type restrict2 (size_type i, size_type j, size_type size1, size_type size2) {
    1819. 

  1819. <a name="l01795"></a>01795                 <span class="keywordflow">return</span> L::restrict1(j, i, size2, size1);
    1820. 

  1820. <a name="l01796"></a>01796             }
    1821. 

  1821. <a name="l01797"></a>01797             <span class="keyword">static</span>
    1822. 

  1822. <a name="l01798"></a>01798             BOOST_UBLAS_INLINE
    1823. 

  1823. <a name="l01799"></a>01799             size_type mutable_restrict1 (size_type i, size_type j, size_type size1, size_type size2) {
    1824. 

  1824. <a name="l01800"></a>01800                 <span class="keywordflow">return</span> L::mutable_restrict2(j, i, size2, size1);
    1825. 

  1825. <a name="l01801"></a>01801             }
    1826. 

  1826. <a name="l01802"></a>01802             <span class="keyword">static</span>
    1827. 

  1827. <a name="l01803"></a>01803             BOOST_UBLAS_INLINE
    1828. 

  1828. <a name="l01804"></a>01804             size_type mutable_restrict2 (size_type i, size_type j, size_type size1, size_type size2) {
    1829. 

  1829. <a name="l01805"></a>01805                 <span class="keywordflow">return</span> L::mutable_restrict1(j, i, size2, size1);
    1830. 

  1830. <a name="l01806"></a>01806             }
    1831. 

  1831. <a name="l01807"></a>01807 
    1832. 

  1832. <a name="l01808"></a>01808             <span class="keyword">static</span>
    1833. 

  1833. <a name="l01809"></a>01809             BOOST_UBLAS_INLINE
    1834. 

  1834. <a name="l01810"></a>01810             size_type global_restrict1 (size_type index1, size_type size1, size_type index2, size_type size2) {
    1835. 

  1835. <a name="l01811"></a>01811                 <span class="keywordflow">return</span> L::global_restrict2(index2, size2, index1, size1);
    1836. 

  1836. <a name="l01812"></a>01812             }
    1837. 

  1837. <a name="l01813"></a>01813             <span class="keyword">static</span>
    1838. 

  1838. <a name="l01814"></a>01814             BOOST_UBLAS_INLINE
    1839. 

  1839. <a name="l01815"></a>01815             size_type global_restrict2 (size_type index1, size_type size1, size_type index2, size_type size2) {
    1840. 

  1840. <a name="l01816"></a>01816                 <span class="keywordflow">return</span> L::global_restrict1(index2, size2, index1, size1);
    1841. 

  1841. <a name="l01817"></a>01817             }
    1842. 

  1842. <a name="l01818"></a>01818             <span class="keyword">static</span>
    1843. 

  1843. <a name="l01819"></a>01819             BOOST_UBLAS_INLINE
    1844. 

  1844. <a name="l01820"></a>01820             size_type global_mutable_restrict1 (size_type index1, size_type size1, size_type index2, size_type size2) {
    1845. 

  1845. <a name="l01821"></a>01821                 <span class="keywordflow">return</span> L::global_mutable_restrict2(index2, size2, index1, size1);
    1846. 

  1846. <a name="l01822"></a>01822             }
    1847. 

  1847. <a name="l01823"></a>01823             <span class="keyword">static</span>
    1848. 

  1848. <a name="l01824"></a>01824             BOOST_UBLAS_INLINE
    1849. 

  1849. <a name="l01825"></a>01825             size_type global_mutable_restrict2 (size_type index1, size_type size1, size_type index2, size_type size2) {
    1850. 

  1850. <a name="l01826"></a>01826                 <span class="keywordflow">return</span> L::global_mutable_restrict1(index2, size2, index1, size1);
    1851. 

  1851. <a name="l01827"></a>01827             }
    1852. 

  1852. <a name="l01828"></a>01828         };
    1853. 

  1853. <a name="l01829"></a>01829     }
    1854. 

  1854. <a name="l01830"></a>01830 
    1855. 

  1855. <a name="l01831"></a>01831     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z&gt;
    1856. 

  1856. <a name="l01832"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__lower.html">01832</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__lower.html">basic_lower</a> {
    1857. 

  1857. <a name="l01833"></a>01833         <span class="keyword">typedef</span> Z size_type;
    1858. 

  1858. <a name="l01834"></a>01834         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1lower__tag.html">lower_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1lower__tag.html">triangular_type</a>;
    1859. 

  1859. <a name="l01835"></a>01835 
    1860. 

  1860. <a name="l01836"></a>01836         <span class="keyword">template</span>&lt;<span class="keyword">class</span> L&gt;
    1861. 

  1861. <a name="l01837"></a>01837         <span class="keyword">static</span>
    1862. 

  1862. <a name="l01838"></a>01838         BOOST_UBLAS_INLINE
    1863. 

  1863. <a name="l01839"></a>01839         size_type packed_size (L, size_type size_i, size_type size_j) {
    1864. 

  1864. <a name="l01840"></a>01840             <span class="keywordflow">return</span> L::triangular_size (size_i, size_j);
    1865. 

  1865. <a name="l01841"></a>01841         }
    1866. 

  1866. <a name="l01842"></a>01842 
    1867. 

  1867. <a name="l01843"></a>01843         <span class="keyword">static</span>
    1868. 

  1868. <a name="l01844"></a>01844         BOOST_UBLAS_INLINE
    1869. 

  1869. <a name="l01845"></a>01845         <span class="keywordtype">bool</span> zero (size_type i, size_type j) {
    1870. 

  1870. <a name="l01846"></a>01846             <span class="keywordflow">return</span> j &gt; i;
    1871. 

  1871. <a name="l01847"></a>01847         }
    1872. 

  1872. <a name="l01848"></a>01848         <span class="keyword">static</span>
    1873. 

  1873. <a name="l01849"></a>01849         BOOST_UBLAS_INLINE
    1874. 

  1874. <a name="l01850"></a>01850         <span class="keywordtype">bool</span> one (size_type <span class="comment">/* i */</span>, size_type <span class="comment">/* j */</span>) {
    1875. 

  1875. <a name="l01851"></a>01851             <span class="keywordflow">return</span> <span class="keyword">false</span>;
    1876. 

  1876. <a name="l01852"></a>01852         }
    1877. 

  1877. <a name="l01853"></a>01853         <span class="keyword">static</span>
    1878. 

  1878. <a name="l01854"></a>01854         BOOST_UBLAS_INLINE
    1879. 

  1879. <a name="l01855"></a>01855         <span class="keywordtype">bool</span> other (size_type i, size_type j) {
    1880. 

  1880. <a name="l01856"></a>01856             <span class="keywordflow">return</span> j &lt;= i;
    1881. 

  1881. <a name="l01857"></a>01857         }
    1882. 

  1882. <a name="l01858"></a>01858         <span class="keyword">template</span>&lt;<span class="keyword">class</span> L&gt;
    1883. 

  1883. <a name="l01859"></a>01859         <span class="keyword">static</span>
    1884. 

  1884. <a name="l01860"></a>01860         BOOST_UBLAS_INLINE
    1885. 

  1885. <a name="l01861"></a>01861         size_type element (L, size_type i, size_type size_i, size_type j, size_type size_j) {
    1886. 

  1886. <a name="l01862"></a>01862             <span class="keywordflow">return</span> L::lower_element (i, size_i, j, size_j);
    1887. 

  1887. <a name="l01863"></a>01863         }
    1888. 

  1888. <a name="l01864"></a>01864 
    1889. 

  1889. <a name="l01865"></a>01865         <span class="comment">// return nearest valid index in column j</span>
    1890. 

  1890. <a name="l01866"></a>01866         <span class="keyword">static</span>
    1891. 

  1891. <a name="l01867"></a>01867         BOOST_UBLAS_INLINE
    1892. 

  1892. <a name="l01868"></a>01868         size_type restrict1 (size_type i, size_type j, size_type size1, size_type size2) {
    1893. 

  1893. <a name="l01869"></a>01869             <span class="keywordflow">return</span> (std::max)(j, (std::min) (size1, i));
    1894. 

  1894. <a name="l01870"></a>01870         }
    1895. 

  1895. <a name="l01871"></a>01871         <span class="comment">// return nearest valid index in row i</span>
    1896. 

  1896. <a name="l01872"></a>01872         <span class="keyword">static</span>
    1897. 

  1897. <a name="l01873"></a>01873         BOOST_UBLAS_INLINE
    1898. 

  1898. <a name="l01874"></a>01874         size_type restrict2 (size_type i, size_type j, size_type <span class="comment">/* size1 */</span>, size_type <span class="comment">/* size2 */</span>) {
    1899. 

  1899. <a name="l01875"></a>01875             <span class="keywordflow">return</span> (std::max)(size_type(0), (std::min) (i+1, j));
    1900. 

  1900. <a name="l01876"></a>01876         }
    1901. 

  1901. <a name="l01877"></a>01877         <span class="comment">// return nearest valid mutable index in column j</span>
    1902. 

  1902. <a name="l01878"></a>01878         <span class="keyword">static</span>
    1903. 

  1903. <a name="l01879"></a>01879         BOOST_UBLAS_INLINE
    1904. 

  1904. <a name="l01880"></a>01880         size_type mutable_restrict1 (size_type i, size_type j, size_type size1, size_type <span class="comment">/* size2 */</span>) {
    1905. 

  1905. <a name="l01881"></a>01881             <span class="keywordflow">return</span> (std::max)(j, (std::min) (size1, i));
    1906. 

  1906. <a name="l01882"></a>01882         }
    1907. 

  1907. <a name="l01883"></a>01883         <span class="comment">// return nearest valid mutable index in row i</span>
    1908. 

  1908. <a name="l01884"></a>01884         <span class="keyword">static</span>
    1909. 

  1909. <a name="l01885"></a>01885         BOOST_UBLAS_INLINE
    1910. 

  1910. <a name="l01886"></a>01886         size_type mutable_restrict2 (size_type i, size_type j, size_type <span class="comment">/* size1 */</span>, size_type <span class="comment">/* size2 */</span>) {
    1911. 

  1911. <a name="l01887"></a>01887             <span class="keywordflow">return</span> (std::max)(size_type(0), (std::min) (i+1, j));
    1912. 

  1912. <a name="l01888"></a>01888         }
    1913. 

  1913. <a name="l01889"></a>01889 
    1914. 

  1914. <a name="l01890"></a>01890         <span class="comment">// return an index between the first and (1+last) filled row</span>
    1915. 

  1915. <a name="l01891"></a>01891         <span class="keyword">static</span>
    1916. 

  1916. <a name="l01892"></a>01892         BOOST_UBLAS_INLINE
    1917. 

  1917. <a name="l01893"></a>01893         size_type global_restrict1 (size_type index1, size_type size1, size_type <span class="comment">/* index2 */</span>, size_type <span class="comment">/* size2 */</span>) {
    1918. 

  1918. <a name="l01894"></a>01894             <span class="keywordflow">return</span> (std::max)(size_type(0), (std::min)(size1, index1) );
    1919. 

  1919. <a name="l01895"></a>01895         }
    1920. 

  1920. <a name="l01896"></a>01896         <span class="comment">// return an index between the first and (1+last) filled column</span>
    1921. 

  1921. <a name="l01897"></a>01897         <span class="keyword">static</span>
    1922. 

  1922. <a name="l01898"></a>01898         BOOST_UBLAS_INLINE
    1923. 

  1923. <a name="l01899"></a>01899         size_type global_restrict2 (size_type <span class="comment">/* index1 */</span>, size_type <span class="comment">/* size1 */</span>, size_type index2, size_type size2) {
    1924. 

  1924. <a name="l01900"></a>01900             <span class="keywordflow">return</span> (std::max)(size_type(0), (std::min)(size2, index2) );
    1925. 

  1925. <a name="l01901"></a>01901         }
    1926. 

  1926. <a name="l01902"></a>01902 
    1927. 

  1927. <a name="l01903"></a>01903         <span class="comment">// return an index between the first and (1+last) filled mutable row</span>
    1928. 

  1928. <a name="l01904"></a>01904         <span class="keyword">static</span>
    1929. 

  1929. <a name="l01905"></a>01905         BOOST_UBLAS_INLINE
    1930. 

  1930. <a name="l01906"></a>01906         size_type global_mutable_restrict1 (size_type index1, size_type size1, size_type <span class="comment">/* index2 */</span>, size_type <span class="comment">/* size2 */</span>) {
    1931. 

  1931. <a name="l01907"></a>01907             <span class="keywordflow">return</span> (std::max)(size_type(0), (std::min)(size1, index1) );
    1932. 

  1932. <a name="l01908"></a>01908         }
    1933. 

  1933. <a name="l01909"></a>01909         <span class="comment">// return an index between the first and (1+last) filled mutable column</span>
    1934. 

  1934. <a name="l01910"></a>01910         <span class="keyword">static</span>
    1935. 

  1935. <a name="l01911"></a>01911         BOOST_UBLAS_INLINE
    1936. 

  1936. <a name="l01912"></a>01912         size_type global_mutable_restrict2 (size_type <span class="comment">/* index1 */</span>, size_type <span class="comment">/* size1 */</span>, size_type index2, size_type size2) {
    1937. 

  1937. <a name="l01913"></a>01913             <span class="keywordflow">return</span> (std::max)(size_type(0), (std::min)(size2, index2) );
    1938. 

  1938. <a name="l01914"></a>01914         }
    1939. 

  1939. <a name="l01915"></a>01915     };
    1940. 

  1940. <a name="l01916"></a>01916 
    1941. 

  1941. <a name="l01917"></a>01917     <span class="comment">// the first row only contains a single 1. Thus it is not stored.</span>
    1942. 

  1942. <a name="l01918"></a>01918     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z&gt;
    1943. 

  1943. <a name="l01919"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__unit__lower.html">01919</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__unit__lower.html">basic_unit_lower</a> : <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__lower.html">basic_lower</a>&lt;Z&gt; {
    1944. 

  1944. <a name="l01920"></a>01920         <span class="keyword">typedef</span> Z size_type;
    1945. 

  1945. <a name="l01921"></a>01921         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1unit__lower__tag.html">unit_lower_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1lower__tag.html">triangular_type</a>;
    1946. 

  1946. <a name="l01922"></a>01922 
    1947. 

  1947. <a name="l01923"></a>01923         <span class="keyword">template</span>&lt;<span class="keyword">class</span> L&gt;
    1948. 

  1948. <a name="l01924"></a>01924         <span class="keyword">static</span>
    1949. 

  1949. <a name="l01925"></a>01925         BOOST_UBLAS_INLINE
    1950. 

  1950. <a name="l01926"></a>01926         size_type packed_size (L, size_type size_i, size_type size_j) {
    1951. 

  1951. <a name="l01927"></a>01927             <span class="comment">// Zero size strict triangles are bad at this point</span>
    1952. 

  1952. <a name="l01928"></a>01928             BOOST_UBLAS_CHECK (size_i != 0 &amp;&amp; size_j != 0, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    1953. 

  1953. <a name="l01929"></a>01929             <span class="keywordflow">return</span> L::triangular_size (size_i - 1, size_j - 1);
    1954. 

  1954. <a name="l01930"></a>01930         }
    1955. 

  1955. <a name="l01931"></a>01931 
    1956. 

  1956. <a name="l01932"></a>01932         <span class="keyword">static</span>
    1957. 

  1957. <a name="l01933"></a>01933         BOOST_UBLAS_INLINE
    1958. 

  1958. <a name="l01934"></a>01934         <span class="keywordtype">bool</span> one (size_type i, size_type j) {
    1959. 

  1959. <a name="l01935"></a>01935             <span class="keywordflow">return</span> j == i;
    1960. 

  1960. <a name="l01936"></a>01936         }
    1961. 

  1961. <a name="l01937"></a>01937         <span class="keyword">static</span>
    1962. 

  1962. <a name="l01938"></a>01938         BOOST_UBLAS_INLINE
    1963. 

  1963. <a name="l01939"></a>01939         <span class="keywordtype">bool</span> other (size_type i, size_type j) {
    1964. 

  1964. <a name="l01940"></a>01940             <span class="keywordflow">return</span> j &lt; i;
    1965. 

  1965. <a name="l01941"></a>01941         }
    1966. 

  1966. <a name="l01942"></a>01942         <span class="keyword">template</span>&lt;<span class="keyword">class</span> L&gt;
    1967. 

  1967. <a name="l01943"></a>01943         <span class="keyword">static</span>
    1968. 

  1968. <a name="l01944"></a>01944         BOOST_UBLAS_INLINE
    1969. 

  1969. <a name="l01945"></a>01945         size_type element (L, size_type i, size_type size_i, size_type j, size_type size_j) {
    1970. 

  1970. <a name="l01946"></a>01946             <span class="comment">// Zero size strict triangles are bad at this point</span>
    1971. 

  1971. <a name="l01947"></a>01947             BOOST_UBLAS_CHECK (size_i != 0 &amp;&amp; size_j != 0 &amp;&amp; i != 0, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    1972. 

  1972. <a name="l01948"></a>01948             <span class="keywordflow">return</span> L::lower_element (i-1, size_i - 1, j, size_j - 1);
    1973. 

  1973. <a name="l01949"></a>01949         }
    1974. 

  1974. <a name="l01950"></a>01950 
    1975. 

  1975. <a name="l01951"></a>01951         <span class="keyword">static</span>
    1976. 

  1976. <a name="l01952"></a>01952         BOOST_UBLAS_INLINE
    1977. 

  1977. <a name="l01953"></a>01953         size_type mutable_restrict1 (size_type i, size_type j, size_type size1, size_type <span class="comment">/* size2 */</span>) {
    1978. 

  1978. <a name="l01954"></a>01954             <span class="keywordflow">return</span> (std::max)(j+1, (std::min) (size1, i));
    1979. 

  1979. <a name="l01955"></a>01955         }
    1980. 

  1980. <a name="l01956"></a>01956         <span class="keyword">static</span>
    1981. 

  1981. <a name="l01957"></a>01957         BOOST_UBLAS_INLINE
    1982. 

  1982. <a name="l01958"></a>01958         size_type mutable_restrict2 (size_type i, size_type j, size_type <span class="comment">/* size1 */</span>, size_type <span class="comment">/* size2 */</span>) {
    1983. 

  1983. <a name="l01959"></a>01959             <span class="keywordflow">return</span> (std::max)(size_type(0), (std::min) (i, j));
    1984. 

  1984. <a name="l01960"></a>01960         }
    1985. 

  1985. <a name="l01961"></a>01961 
    1986. 

  1986. <a name="l01962"></a>01962         <span class="comment">// return an index between the first and (1+last) filled mutable row</span>
    1987. 

  1987. <a name="l01963"></a>01963         <span class="keyword">static</span>
    1988. 

  1988. <a name="l01964"></a>01964         BOOST_UBLAS_INLINE
    1989. 

  1989. <a name="l01965"></a>01965         size_type global_mutable_restrict1 (size_type index1, size_type size1, size_type <span class="comment">/* index2 */</span>, size_type <span class="comment">/* size2 */</span>) {
    1990. 

  1990. <a name="l01966"></a>01966             <span class="keywordflow">return</span> (std::max)(size_type(1), (std::min)(size1, index1) );
    1991. 

  1991. <a name="l01967"></a>01967         }
    1992. 

  1992. <a name="l01968"></a>01968         <span class="comment">// return an index between the first and (1+last) filled mutable column</span>
    1993. 

  1993. <a name="l01969"></a>01969         <span class="keyword">static</span>
    1994. 

  1994. <a name="l01970"></a>01970         BOOST_UBLAS_INLINE
    1995. 

  1995. <a name="l01971"></a>01971         size_type global_mutable_restrict2 (size_type <span class="comment">/* index1 */</span>, size_type <span class="comment">/* size1 */</span>, size_type index2, size_type size2) {
    1996. 

  1996. <a name="l01972"></a>01972             BOOST_UBLAS_CHECK( size2 &gt;= 1 , <a class="code" href="structboost_1_1numeric_1_1ublas_1_1external__logic.html">external_logic</a>() );
    1997. 

  1997. <a name="l01973"></a>01973             <span class="keywordflow">return</span> (std::max)(size_type(0), (std::min)(size2-1, index2) );
    1998. 

  1998. <a name="l01974"></a>01974         }
    1999. 

  1999. <a name="l01975"></a>01975     };
    2000. 

  2000. <a name="l01976"></a>01976 
    2001. 

  2001. <a name="l01977"></a>01977     <span class="comment">// the first row only contains no element. Thus it is not stored.</span>
    2002. 

  2002. <a name="l01978"></a>01978     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z&gt;
    2003. 

  2003. <a name="l01979"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__strict__lower.html">01979</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__strict__lower.html">basic_strict_lower</a> : <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__unit__lower.html">basic_unit_lower</a>&lt;Z&gt; {
    2004. 

  2004. <a name="l01980"></a>01980         <span class="keyword">typedef</span> Z size_type;
    2005. 

  2005. <a name="l01981"></a>01981         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1strict__lower__tag.html">strict_lower_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1lower__tag.html">triangular_type</a>;
    2006. 

  2006. <a name="l01982"></a>01982 
    2007. 

  2007. <a name="l01983"></a>01983         <span class="keyword">template</span>&lt;<span class="keyword">class</span> L&gt;
    2008. 

  2008. <a name="l01984"></a>01984         <span class="keyword">static</span>
    2009. 

  2009. <a name="l01985"></a>01985         BOOST_UBLAS_INLINE
    2010. 

  2010. <a name="l01986"></a>01986         size_type packed_size (L, size_type size_i, size_type size_j) {
    2011. 

  2011. <a name="l01987"></a>01987             <span class="comment">// Zero size strict triangles are bad at this point</span>
    2012. 

  2012. <a name="l01988"></a>01988             BOOST_UBLAS_CHECK (size_i != 0 &amp;&amp; size_j != 0, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    2013. 

  2013. <a name="l01989"></a>01989             <span class="keywordflow">return</span> L::triangular_size (size_i - 1, size_j - 1);
    2014. 

  2014. <a name="l01990"></a>01990         }
    2015. 

  2015. <a name="l01991"></a>01991 
    2016. 

  2016. <a name="l01992"></a>01992         <span class="keyword">static</span>
    2017. 

  2017. <a name="l01993"></a>01993         BOOST_UBLAS_INLINE
    2018. 

  2018. <a name="l01994"></a>01994         <span class="keywordtype">bool</span> zero (size_type i, size_type j) {
    2019. 

  2019. <a name="l01995"></a>01995             <span class="keywordflow">return</span> j &gt;= i;
    2020. 

  2020. <a name="l01996"></a>01996         }
    2021. 

  2021. <a name="l01997"></a>01997         <span class="keyword">static</span>
    2022. 

  2022. <a name="l01998"></a>01998         BOOST_UBLAS_INLINE
    2023. 

  2023. <a name="l01999"></a>01999         <span class="keywordtype">bool</span> one (size_type <span class="comment">/*i*/</span>, size_type <span class="comment">/*j*/</span>) {
    2024. 

  2024. <a name="l02000"></a>02000             <span class="keywordflow">return</span> <span class="keyword">false</span>;
    2025. 

  2025. <a name="l02001"></a>02001         }
    2026. 

  2026. <a name="l02002"></a>02002         <span class="keyword">static</span>
    2027. 

  2027. <a name="l02003"></a>02003         BOOST_UBLAS_INLINE
    2028. 

  2028. <a name="l02004"></a>02004         <span class="keywordtype">bool</span> other (size_type i, size_type j) {
    2029. 

  2029. <a name="l02005"></a>02005             <span class="keywordflow">return</span> j &lt; i;
    2030. 

  2030. <a name="l02006"></a>02006         }
    2031. 

  2031. <a name="l02007"></a>02007         <span class="keyword">template</span>&lt;<span class="keyword">class</span> L&gt;
    2032. 

  2032. <a name="l02008"></a>02008         <span class="keyword">static</span>
    2033. 

  2033. <a name="l02009"></a>02009         BOOST_UBLAS_INLINE
    2034. 

  2034. <a name="l02010"></a>02010         size_type element (L, size_type i, size_type size_i, size_type j, size_type size_j) {
    2035. 

  2035. <a name="l02011"></a>02011             <span class="comment">// Zero size strict triangles are bad at this point</span>
    2036. 

  2036. <a name="l02012"></a>02012             BOOST_UBLAS_CHECK (size_i != 0 &amp;&amp; size_j != 0 &amp;&amp; i != 0, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1bad__index.html">bad_index</a> ());
    2037. 

  2037. <a name="l02013"></a>02013             <span class="keywordflow">return</span> L::lower_element (i-1, size_i - 1, j, size_j - 1);
    2038. 

  2038. <a name="l02014"></a>02014         }
    2039. 

  2039. <a name="l02015"></a>02015 
    2040. 

  2040. <a name="l02016"></a>02016         <span class="keyword">static</span>
    2041. 

  2041. <a name="l02017"></a>02017         BOOST_UBLAS_INLINE
    2042. 

  2042. <a name="l02018"></a>02018         size_type restrict1 (size_type i, size_type j, size_type size1, size_type size2) {
    2043. 

  2043. <a name="l02019"></a>02019             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__unit__lower.html">basic_unit_lower&lt;Z&gt;::mutable_restrict1</a>(i, j, size1, size2);
    2044. 

  2044. <a name="l02020"></a>02020         }
    2045. 

  2045. <a name="l02021"></a>02021         <span class="keyword">static</span>
    2046. 

  2046. <a name="l02022"></a>02022         BOOST_UBLAS_INLINE
    2047. 

  2047. <a name="l02023"></a>02023         size_type restrict2 (size_type i, size_type j, size_type size1, size_type size2) {
    2048. 

  2048. <a name="l02024"></a>02024             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__unit__lower.html">basic_unit_lower&lt;Z&gt;::mutable_restrict2</a>(i, j, size1, size2);
    2049. 

  2049. <a name="l02025"></a>02025         }
    2050. 

  2050. <a name="l02026"></a>02026 
    2051. 

  2051. <a name="l02027"></a>02027         <span class="comment">// return an index between the first and (1+last) filled row</span>
    2052. 

  2052. <a name="l02028"></a>02028         <span class="keyword">static</span>
    2053. 

  2053. <a name="l02029"></a>02029         BOOST_UBLAS_INLINE
    2054. 

  2054. <a name="l02030"></a>02030         size_type global_restrict1 (size_type index1, size_type size1, size_type index2, size_type size2) {
    2055. 

  2055. <a name="l02031"></a>02031             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__unit__lower.html">basic_unit_lower&lt;Z&gt;::global_mutable_restrict1</a>(index1, size1, index2, size2);
    2056. 

  2056. <a name="l02032"></a>02032         }
    2057. 

  2057. <a name="l02033"></a>02033         <span class="comment">// return an index between the first and (1+last) filled column</span>
    2058. 

  2058. <a name="l02034"></a>02034         <span class="keyword">static</span>
    2059. 

  2059. <a name="l02035"></a>02035         BOOST_UBLAS_INLINE
    2060. 

  2060. <a name="l02036"></a>02036         size_type global_restrict2 (size_type index1, size_type size1, size_type index2, size_type size2) {
    2061. 

  2061. <a name="l02037"></a>02037             <span class="keywordflow">return</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__unit__lower.html">basic_unit_lower&lt;Z&gt;::global_mutable_restrict2</a>(index1, size1, index2, size2);
    2062. 

  2062. <a name="l02038"></a>02038         }
    2063. 

  2063. <a name="l02039"></a>02039     };
    2064. 

  2064. <a name="l02040"></a>02040 
    2065. 

  2065. <a name="l02041"></a>02041 
    2066. 

  2066. <a name="l02042"></a>02042     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z&gt;
    2067. 

  2067. <a name="l02043"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__upper.html">02043</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__upper.html">basic_upper</a> : <span class="keyword">public</span> detail::transposed_structure&lt;basic_lower&lt;Z&gt; &gt;
    2068. 

  2068. <a name="l02044"></a>02044     { 
    2069. 

  2069. <a name="l02045"></a>02045         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1upper__tag.html">upper_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1upper__tag.html">triangular_type</a>;
    2070. 

  2070. <a name="l02046"></a>02046     };
    2071. 

  2071. <a name="l02047"></a>02047 
    2072. 

  2072. <a name="l02048"></a>02048     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z&gt;
    2073. 

  2073. <a name="l02049"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__unit__upper.html">02049</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__unit__upper.html">basic_unit_upper</a> : <span class="keyword">public</span> detail::transposed_structure&lt;basic_unit_lower&lt;Z&gt; &gt;
    2074. 

  2074. <a name="l02050"></a>02050     { 
    2075. 

  2075. <a name="l02051"></a>02051         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1unit__upper__tag.html">unit_upper_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1unit__upper__tag.html">triangular_type</a>;
    2076. 

  2076. <a name="l02052"></a>02052     };
    2077. 

  2077. <a name="l02053"></a>02053 
    2078. 

  2078. <a name="l02054"></a>02054     <span class="keyword">template</span> &lt;<span class="keyword">class</span> Z&gt;
    2079. 

  2079. <a name="l02055"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__strict__upper.html">02055</a>     <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1basic__strict__upper.html">basic_strict_upper</a> : <span class="keyword">public</span> detail::transposed_structure&lt;basic_strict_lower&lt;Z&gt; &gt;
    2080. 

  2080. <a name="l02056"></a>02056     { 
    2081. 

  2081. <a name="l02057"></a>02057         <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1strict__upper__tag.html">strict_upper_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1strict__upper__tag.html">triangular_type</a>;
    2082. 

  2082. <a name="l02058"></a>02058     };
    2083. 

  2083. <a name="l02059"></a>02059 
    2084. 

  2084. <a name="l02060"></a>02060 
    2085. 

  2085. <a name="l02061"></a>02061 }}}
    2086. 

  2086. <a name="l02062"></a>02062 
    2087. 

  2087. <a name="l02063"></a>02063 <span class="preprocessor">#endif</span>
    2088. 

  2088. </pre></div></div>
    2089. 

  2089. <hr size="1"/><address style="text-align: right;"><small>Generated on Sun Jul 4 20:30:49 2010 for ublas by&nbsp;
    2090. 

  2090. <a href="http://www.doxygen.org/index.html">
    2091. 

  2091. <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address>
    2092. 

  2092. </body>
    2093. 

  2093. </html>
    2094. 

  2094.