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  97. <div class="title">structural/VABS_Calc/practice/timoshenko.cpp</div>  </div>
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    99. 

  99. <div class="contents">
    100. 

  100. <a href="timoshenko_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
    101. 

  101. <a name="l00002"></a>00002 <span class="comment">// This is some source code that ensures that I understand the Timoshenko VABS model</span>
    102. 

  102. <a name="l00003"></a>00003 
    103. 

  103. <a name="l00004"></a>00004 <span class="preprocessor">#include &lt;iostream&gt;</span>
    104. 

  104. <a name="l00005"></a>00005 <span class="preprocessor">#include &lt;sstream&gt;</span>
    105. 

  105. <a name="l00006"></a>00006 <span class="preprocessor">#include &lt;vector&gt;</span>
    106. 

  106. <a name="l00007"></a>00007 <span class="preprocessor">#include &lt;list&gt;</span>
    107. 

  107. <a name="l00008"></a>00008 <span class="preprocessor">#include &lt;cstdlib&gt;</span>
    108. 

  108. <a name="l00009"></a>00009 
    109. 

  109. <a name="l00010"></a>00010 <span class="keyword">using namespace </span>std;
    110. 

  110. <a name="l00011"></a>00011 
    111. 

  111. <a name="l00012"></a>00012 <span class="comment">// This was written in the middle when a new matrix library was being integrated to replace the old... so the code uses the old but written below to be easily replace with the new</span>
    112. 

  112. <a name="l00013"></a>00013 
    113. 

  113. <a name="l00014"></a>00014 <span class="preprocessor">#include &quot;../../../utility/cpplapack/trunk/include/cpplapack.h&quot;</span>
    114. 

  114. <a name="l00015"></a>00015 <span class="preprocessor">#include &quot;../../../utility/eMsg/ver_1/eMsg.h&quot;</span>
    115. 

  115. <a name="l00016"></a>00016 <span class="preprocessor">#include &quot;../../../utility/matrix/ver_2/matrixClass.h&quot;</span>
    116. 

  116. <a name="l00017"></a>00017 <span class="preprocessor">#include &quot;../../../utility/matrix_Solver/source/ver_1/matrixSolverSudo.cpp&quot;</span>
    117. 

  117. <a name="l00018"></a>00018 
    118. 

  118. <a name="l00019"></a><a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">00019</a> <span class="keyword">typedef</span> <span class="keywordtype">double</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>;
    119. 

  119. <a name="l00020"></a><a class="code" href="timoshenko_8cpp.html#aafc02576e05cd19ef8450044d881c1b5">00020</a> <span class="keyword">typedef</span> <a class="code" href="classmatrixRdWtSzVectCol__Data.html">matrixRdWtSzVectCol_Data&lt;double&gt;</a> <a class="code" href="timoshenko_8cpp.html#aafc02576e05cd19ef8450044d881c1b5">type_vector</a>;
    120. 

  120. <a name="l00021"></a><a class="code" href="timoshenko_8cpp.html#a0f9208db513a67c73562d6bc2acb2438">00021</a> <span class="keyword">typedef</span> <a class="code" href="classmatrixRdWtSzSqr__Data.html">matrixRdWtSzSqr_Data&lt;double&gt;</a> <a class="code" href="timoshenko_8cpp.html#a0f9208db513a67c73562d6bc2acb2438">type_squareMatrix</a>;
    121. 

  121. <a name="l00022"></a><a class="code" href="timoshenko_8cpp.html#ad87bbfc7dec18456e301e1a58ac12185">00022</a> <span class="keyword">typedef</span> <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> <a class="code" href="timoshenko_8cpp.html#ad87bbfc7dec18456e301e1a58ac12185">type_matrix</a>;
    122. 

  122. <a name="l00023"></a>00023 
    123. 

  123. <a name="l00024"></a>00024 <span class="comment">// problem specific stuff</span>
    124. 

  124. <a name="l00025"></a>00025 
    125. 

  125. <a name="l00026"></a><a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">00026</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>;
    126. 

  126. <a name="l00027"></a><a class="code" href="timoshenko_8cpp.html#a488a005f6c18cfe6a45f0dab98134def">00027</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a488a005f6c18cfe6a45f0dab98134def">material</a>;
    127. 

  127. <a name="l00028"></a><a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">00028</a> <a class="code" href="classmatrixRdWtSzVectCol__Data.html">type_vector</a> <a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>;
    128. 

  128. <a name="l00029"></a>00029 
    129. 

  129. <a name="l00030"></a>00030 <span class="comment">// some utility code</span>
    130. 

  130. <a name="l00031"></a>00031 
    131. 

  131. <a name="l00032"></a><a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">00032</a> <span class="keywordtype">void</span> <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<span class="keyword">const</span> <a class="code" href="classmatrix.html">matrix&lt;double&gt;</a>&amp; mtx)
    132. 

  132. <a name="l00033"></a>00033 {
    133. 

  133. <a name="l00034"></a>00034         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> r,c;
    134. 

  134. <a name="l00035"></a>00035 
    135. 

  135. <a name="l00036"></a>00036         mtx.<a class="code" href="classmatrix.html#a3a26f3543df8cff3e662e949e8b9234d">size</a>(r,c);
    136. 

  136. <a name="l00037"></a>00037 
    137. 

  137. <a name="l00038"></a>00038         stringstream ssArray;
    138. 

  138. <a name="l00039"></a>00039 
    139. 

  139. <a name="l00040"></a>00040         vector&lt;unsigned long&gt; maxCol(c,0);
    140. 

  140. <a name="l00041"></a>00041 
    141. 

  141. <a name="l00042"></a>00042         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;r;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    142. 

  142. <a name="l00043"></a>00043         {
    143. 

  143. <a name="l00044"></a>00044                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;c;j++)
    144. 

  144. <a name="l00045"></a>00045                 {
    145. 

  145. <a name="l00046"></a>00046                         ssArray.str(<span class="stringliteral">&quot;&quot;</span>);
    146. 

  146. <a name="l00047"></a>00047                         ssArray &lt;&lt; mtx.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    147. 

  147. <a name="l00048"></a>00048                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz=ssArray.str().size();
    148. 

  148. <a name="l00049"></a>00049                         <span class="keywordflow">if</span>(sz&gt;maxCol[j])
    149. 

  149. <a name="l00050"></a>00050                                 maxCol[j]=sz;
    150. 

  150. <a name="l00051"></a>00051                 }
    151. 

  151. <a name="l00052"></a>00052         }
    152. 

  152. <a name="l00053"></a>00053 
    153. 

  153. <a name="l00054"></a>00054         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;r;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    154. 

  154. <a name="l00055"></a>00055         {
    155. 

  155. <a name="l00056"></a>00056                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;c;j++)
    156. 

  156. <a name="l00057"></a>00057                 {
    157. 

  157. <a name="l00058"></a>00058                         ssArray.str(<span class="stringliteral">&quot;&quot;</span>);
    158. 

  158. <a name="l00059"></a>00059                         ssArray &lt;&lt; mtx.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    159. 

  159. <a name="l00060"></a>00060                         cout &lt;&lt; ssArray.str().c_str();
    160. 

  160. <a name="l00061"></a>00061                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> k=ssArray.str().size();k&lt;=maxCol[j];k++)
    161. 

  161. <a name="l00062"></a>00062                                 cout &lt;&lt; <span class="charliteral">&#39; &#39;</span>;
    162. 

  162. <a name="l00063"></a>00063                 }
    163. 

  163. <a name="l00064"></a>00064                 cout &lt;&lt; endl;
    164. 

  164. <a name="l00065"></a>00065         }
    165. 

  165. <a name="l00066"></a>00066 }
    166. 

  166. <a name="l00067"></a>00067 
    167. 

  167. <a name="l00068"></a>00068 <span class="comment">// The following class&#39;s are temporary. They are meant to represent object that actually exist within the hiearchy.</span>
    168. 

  168. <a name="l00069"></a>00069 
    169. 

  169. <a name="l00070"></a>00070 <span class="keyword">template</span>&lt;<span class="keyword">class</span> retType&gt;
    170. 

  170. <a name="l00071"></a>00071 <span class="keyword">class </span><a class="code" href="classkernel.html">kernel</a>
    171. 

  171. <a name="l00072"></a>00072 {
    172. 

  172. <a name="l00073"></a>00073         <span class="keyword">public</span>:
    173. 

  173. <a name="l00074"></a>00074 
    174. 

  174. <a name="l00075"></a><a class="code" href="classkernel.html#a97692a5d1deced27bcf03133ed862096">00075</a>                 <a class="code" href="classkernel.html">kernel</a>()
    175. 

  175. <a name="l00076"></a>00076                 {}
    176. 

  176. <a name="l00077"></a>00077 
    177. 

  177. <a name="l00078"></a><a class="code" href="classkernel.html#aea52ea16c27097a2a28995516f88a388">00078</a>                 <span class="keyword">virtual</span> ~<a class="code" href="classkernel.html">kernel</a>()
    178. 

  178. <a name="l00079"></a>00079                 {}
    179. 

  179. <a name="l00080"></a>00080 
    180. 

  180. <a name="l00081"></a>00081                 <span class="keyword">virtual</span> retType value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)=0;
    181. 

  181. <a name="l00082"></a>00082 };
    182. 

  182. <a name="l00083"></a>00083 
    183. 

  183. <a name="l00084"></a>00084 <span class="keyword">class </span><a class="code" href="classkernel__dyad.html">kernel_dyad</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    184. 

  184. <a name="l00085"></a>00085 {
    185. 

  185. <a name="l00086"></a>00086         <span class="keyword">private</span>:
    186. 

  186. <a name="l00087"></a>00087 
    187. 

  187. <a name="l00088"></a>00088                 <a class="code" href="classkernel.html">kernel&lt;type_vector&gt;</a>&amp; vectKrnl;
    188. 

  188. <a name="l00089"></a>00089 
    189. 

  189. <a name="l00090"></a>00090         <span class="keyword">public</span>:
    190. 

  190. <a name="l00091"></a>00091 
    191. 

  191. <a name="l00092"></a><a class="code" href="classkernel__dyad.html#af1fe11d91ec2a57d132d9315f2c960fc">00092</a>                 <a class="code" href="classkernel__dyad.html">kernel_dyad</a>(<a class="code" href="classkernel.html">kernel&lt;type_vector&gt;</a>&amp; vectKrnl_in) : vectKrnl(vectKrnl_in)
    192. 

  192. <a name="l00093"></a>00093                 {}
    193. 

  193. <a name="l00094"></a>00094 
    194. 

  194. <a name="l00095"></a><a class="code" href="classkernel__dyad.html#a1d251deb0934aaa10d4e7452395feb5e">00095</a>                 ~<a class="code" href="classkernel__dyad.html">kernel_dyad</a>()
    195. 

  195. <a name="l00096"></a>00096                 {}
    196. 

  196. <a name="l00097"></a>00097 
    197. 

  197. <a name="l00098"></a><a class="code" href="classkernel__dyad.html#a0d3cb39653f00b3559c37706e7001254">00098</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    198. 

  198. <a name="l00099"></a>00099                 {
    199. 

  199. <a name="l00100"></a>00100                         <span class="keywordflow">return</span> vectKrnl.value(x,y,N0,N1,N2,N3,d0_dx,d0_dy,d1_dx,d1_dy,d2_dx,d2_dy,d3_dx,d3_dy)*(vectKrnl.value(x,y,N0,N1,N2,N3,d0_dx,d0_dy,d1_dx,d1_dy,d2_dx,d2_dy,d3_dx,d3_dy)).<a class="code" href="rotationMath_8cpp.html#a77ad922cc714adc5ebf10e36b2dd58f8">T</a>();
    200. 

  200. <a name="l00101"></a>00101                 }
    201. 

  201. <a name="l00102"></a>00102 };
    202. 

  202. <a name="l00103"></a>00103 
    203. 

  203. <a name="l00104"></a>00104 <span class="keyword">class </span><a class="code" href="classkernel__shape.html">kernel_shape</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_vector&gt;
    204. 

  204. <a name="l00105"></a>00105 {
    205. 

  205. <a name="l00106"></a>00106         <span class="keyword">public</span>:
    206. 

  206. <a name="l00107"></a>00107 
    207. 

  207. <a name="l00108"></a><a class="code" href="classkernel__shape.html#a1d9164f7ba8887b40af4f3eae5b3df13">00108</a>                 <a class="code" href="classkernel__shape.html">kernel_shape</a>()
    208. 

  208. <a name="l00109"></a>00109                 {}
    209. 

  209. <a name="l00110"></a>00110 
    210. 

  210. <a name="l00111"></a><a class="code" href="classkernel__shape.html#affb60d94d3506839608e268378859721">00111</a>                 ~<a class="code" href="classkernel__shape.html">kernel_shape</a>()
    211. 

  211. <a name="l00112"></a>00112                 {}
    212. 

  212. <a name="l00113"></a>00113 
    213. 

  213. <a name="l00114"></a><a class="code" href="classkernel__shape.html#a30d87f05f9ba21bec121e322fd4db809">00114</a>                 <a class="code" href="classmatrixRdWtSzVectCol__Data.html">type_vector</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    214. 

  214. <a name="l00115"></a>00115                 {
    215. 

  215. <a name="l00116"></a>00116                         <a class="code" href="classmatrixRdWtSzVectCol__Data.html">type_vector</a> retVal(12);
    216. 

  216. <a name="l00117"></a>00117 
    217. 

  217. <a name="l00118"></a>00118                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0)=N0;
    218. 

  218. <a name="l00119"></a>00119                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1)=N0;
    219. 

  219. <a name="l00120"></a>00120                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)=N0;
    220. 

  220. <a name="l00121"></a>00121 
    221. 

  221. <a name="l00122"></a>00122                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(3)=N1;
    222. 

  222. <a name="l00123"></a>00123                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(4)=N1;
    223. 

  223. <a name="l00124"></a>00124                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(5)=N1;
    224. 

  224. <a name="l00125"></a>00125 
    225. 

  225. <a name="l00126"></a>00126                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(6)=N2;
    226. 

  226. <a name="l00127"></a>00127                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(7)=N2;
    227. 

  227. <a name="l00128"></a>00128                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(8)=N2;
    228. 

  228. <a name="l00129"></a>00129 
    229. 

  229. <a name="l00130"></a>00130                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(9)=N3;
    230. 

  230. <a name="l00131"></a>00131                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(10)=N3;
    231. 

  231. <a name="l00132"></a>00132                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(11)=N3;
    232. 

  232. <a name="l00133"></a>00133 
    233. 

  233. <a name="l00134"></a>00134                         <span class="keywordflow">return</span> retVal;
    234. 

  234. <a name="l00135"></a>00135                 }
    235. 

  235. <a name="l00136"></a>00136 };
    236. 

  236. <a name="l00137"></a>00137 
    237. 

  237. <a name="l00138"></a>00138 <span class="keyword">template</span> &lt;<span class="keyword">class</span> retType,<span class="keyword">class</span> leftType,<span class="keyword">class</span> rightType&gt;
    238. 

  238. <a name="l00139"></a>00139 <span class="keyword">class </span><a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;retType&gt;
    239. 

  239. <a name="l00140"></a>00140 {
    240. 

  240. <a name="l00141"></a>00141         <span class="keyword">private</span>:
    241. 

  241. <a name="l00142"></a>00142 
    242. 

  242. <a name="l00143"></a>00143                 <a class="code" href="classkernel.html">kernel&lt;leftType&gt;</a>&amp; gammaLeft;
    243. 

  243. <a name="l00144"></a>00144                 <a class="code" href="classkernel.html">kernel&lt;rightType&gt;</a>&amp; gammaRight;
    244. 

  244. <a name="l00145"></a>00145 
    245. 

  245. <a name="l00146"></a>00146         <span class="keyword">public</span>:
    246. 

  246. <a name="l00147"></a>00147 
    247. 

  247. <a name="l00148"></a><a class="code" href="classkernel__GammaDGamma.html#a763203063d61b2c4d63e4c1f74aae14a">00148</a>                 <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma</a>(<a class="code" href="classkernel.html">kernel&lt;leftType&gt;</a>&amp; gammaLeft_in,<a class="code" href="classkernel.html">kernel&lt;rightType&gt;</a>&amp; gammaRight_in) : gammaLeft(gammaLeft_in) , gammaRight(gammaRight_in)
    248. 

  248. <a name="l00149"></a>00149                 {}
    249. 

  249. <a name="l00150"></a>00150 
    250. 

  250. <a name="l00151"></a><a class="code" href="classkernel__GammaDGamma.html#af8564e982dc5577c89456e7ad1bf2a91">00151</a>                 ~<a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma</a>()
    251. 

  251. <a name="l00152"></a>00152                 {}
    252. 

  252. <a name="l00153"></a>00153 
    253. 

  253. <a name="l00154"></a><a class="code" href="classkernel__GammaDGamma.html#a2eb35f3ff8b3aa0670529254f371d7c3">00154</a>                 retType value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    254. 

  254. <a name="l00155"></a>00155                 {
    255. 

  255. <a name="l00156"></a>00156                         <span class="keywordtype">double</span> crvScl=sqrt(1.0-x*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)+y*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    256. 

  256. <a name="l00157"></a>00157 
    257. 

  257. <a name="l00158"></a>00158                         <span class="keywordflow">return</span> ((gammaLeft.value(x, y,N0,N1,N2,N3,d0_dx,d0_dy,d1_dx,d1_dy,d2_dx,d2_dy,d3_dx,d3_dy)).<a class="code" href="rotationMath_8cpp.html#a77ad922cc714adc5ebf10e36b2dd58f8">T</a>())*<a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*<a class="code" href="timoshenko_8cpp.html#a488a005f6c18cfe6a45f0dab98134def">material</a>*<a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>*(gammaRight.value(x, y,N0,N1,N2,N3,d0_dx,d0_dy,d1_dx,d1_dy,d2_dx,d2_dy,d3_dx,d3_dy))*crvScl;
    258. 

  258. <a name="l00159"></a>00159                 }
    259. 

  259. <a name="l00160"></a>00160 };
    260. 

  260. <a name="l00161"></a>00161 
    261. 

  261. <a name="l00162"></a>00162 <span class="keyword">class </span><a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    262. 

  262. <a name="l00163"></a>00163 {
    263. 

  263. <a name="l00164"></a>00164         <span class="keyword">public</span>:
    264. 

  264. <a name="l00165"></a>00165 
    265. 

  265. <a name="l00166"></a><a class="code" href="classkernel__Gamma__a.html#a49e3a0ae0cbe3722c0e69f650f90ad67">00166</a>                 <a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a>()
    266. 

  266. <a name="l00167"></a>00167                 {}
    267. 

  267. <a name="l00168"></a>00168 
    268. 

  268. <a name="l00169"></a><a class="code" href="classkernel__Gamma__a.html#adee9d9dcd13838b557ae2f6634cae2a1">00169</a>                 ~<a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a>()
    269. 

  269. <a name="l00170"></a>00170                 {}
    270. 

  270. <a name="l00171"></a>00171 
    271. 

  271. <a name="l00172"></a><a class="code" href="classkernel__Gamma__a.html#a4671aa915ad0bab8e1d5a4725dbaf284">00172</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    272. 

  272. <a name="l00173"></a>00173                 {
    273. 

  273. <a name="l00174"></a>00174                         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(6,12);
    274. 

  274. <a name="l00175"></a>00175 
    275. 

  275. <a name="l00176"></a>00176                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;6;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    276. 

  276. <a name="l00177"></a>00177                         {
    277. 

  277. <a name="l00178"></a>00178                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;12;j++)
    278. 

  278. <a name="l00179"></a>00179                                 {
    279. 

  279. <a name="l00180"></a>00180                                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    280. 

  280. <a name="l00181"></a>00181                                 }
    281. 

  281. <a name="l00182"></a>00182                         }
    282. 

  282. <a name="l00183"></a>00183 
    283. 

  283. <a name="l00184"></a>00184                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,0)=d0_dx;
    284. 

  284. <a name="l00185"></a>00185                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,0)=d0_dy;
    285. 

  285. <a name="l00186"></a>00186                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,1)=d0_dx;
    286. 

  286. <a name="l00187"></a>00187                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,1)=d0_dy;
    287. 

  287. <a name="l00188"></a>00188                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,2)=d0_dx;
    288. 

  288. <a name="l00189"></a>00189                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,2)=d0_dy;
    289. 

  289. <a name="l00190"></a>00190 
    290. 

  290. <a name="l00191"></a>00191                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,3)=d1_dx;
    291. 

  291. <a name="l00192"></a>00192                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,3)=d1_dy;
    292. 

  292. <a name="l00193"></a>00193                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,4)=d1_dx;
    293. 

  293. <a name="l00194"></a>00194                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,4)=d1_dy;
    294. 

  294. <a name="l00195"></a>00195                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,5)=d1_dx;
    295. 

  295. <a name="l00196"></a>00196                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,5)=d1_dy;
    296. 

  296. <a name="l00197"></a>00197 
    297. 

  297. <a name="l00198"></a>00198                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,6)=d2_dx;
    298. 

  298. <a name="l00199"></a>00199                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,6)=d2_dy;
    299. 

  299. <a name="l00200"></a>00200                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,7)=d2_dx;
    300. 

  300. <a name="l00201"></a>00201                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,7)=d2_dy;
    301. 

  301. <a name="l00202"></a>00202                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,8)=d2_dx;
    302. 

  302. <a name="l00203"></a>00203                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,8)=d2_dy;
    303. 

  303. <a name="l00204"></a>00204 
    304. 

  304. <a name="l00205"></a>00205                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,9)=d3_dx;
    305. 

  305. <a name="l00206"></a>00206                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,9)=d3_dy;
    306. 

  306. <a name="l00207"></a>00207                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,10)=d3_dx;
    307. 

  307. <a name="l00208"></a>00208                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,10)=d3_dy;
    308. 

  308. <a name="l00209"></a>00209                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,11)=d3_dx;
    309. 

  309. <a name="l00210"></a>00210                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,11)=d3_dy;
    310. 

  310. <a name="l00211"></a>00211 
    311. 

  311. <a name="l00212"></a>00212 <span class="keyword">static</span> list&lt;double&gt; xList;
    312. 

  312. <a name="l00213"></a>00213 <span class="keyword">static</span> list&lt;double&gt; yList;
    313. 

  313. <a name="l00214"></a>00214 <span class="keywordtype">bool</span> isFnd=<span class="keyword">false</span>;
    314. 

  314. <a name="l00215"></a>00215 list&lt;double&gt;::iterator itY=yList.begin();
    315. 

  315. <a name="l00216"></a>00216 <span class="keywordflow">for</span>(list&lt;double&gt;::iterator itX=xList.begin();itX!=xList.end();itX++)
    316. 

  316. <a name="l00217"></a>00217 {
    317. 

  317. <a name="l00218"></a>00218         <span class="keywordflow">if</span>( (*itX)==x &amp;&amp; (*itY)==y )
    318. 

  318. <a name="l00219"></a>00219         {
    319. 

  319. <a name="l00220"></a>00220                 isFnd=<span class="keyword">true</span>;
    320. 

  320. <a name="l00221"></a>00221                 <span class="keywordflow">break</span>;
    321. 

  321. <a name="l00222"></a>00222         }
    322. 

  322. <a name="l00223"></a>00223         itY++;
    323. 

  323. <a name="l00224"></a>00224 }
    324. 

  324. <a name="l00225"></a>00225 <span class="keywordflow">if</span>(!isFnd)
    325. 

  325. <a name="l00226"></a>00226 {
    326. 

  326. <a name="l00227"></a>00227         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Gamma_a at x=&quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; and y=&quot;</span> &lt;&lt; y &lt;&lt; endl;
    327. 

  327. <a name="l00228"></a>00228         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(retVal);
    328. 

  328. <a name="l00229"></a>00229         xList.push_back(x);
    329. 

  329. <a name="l00230"></a>00230         yList.push_back(y);
    330. 

  330. <a name="l00231"></a>00231 }
    331. 

  331. <a name="l00232"></a>00232 
    332. 

  332. <a name="l00233"></a>00233                         <span class="keywordflow">return</span> retVal;
    333. 

  333. <a name="l00234"></a>00234                 }
    334. 

  334. <a name="l00235"></a>00235 };
    335. 

  335. <a name="l00236"></a>00236 
    336. 

  336. <a name="l00237"></a>00237 <span class="keyword">class </span><a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    337. 

  337. <a name="l00238"></a>00238 {
    338. 

  338. <a name="l00239"></a>00239         <span class="keyword">public</span>:
    339. 

  339. <a name="l00240"></a>00240 
    340. 

  340. <a name="l00241"></a><a class="code" href="classkernel__Gamma__e.html#a032a1a24ec1b5b1d283d1b6fb785b3a9">00241</a>                 <a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a>()
    341. 

  341. <a name="l00242"></a>00242                 {}
    342. 

  342. <a name="l00243"></a>00243 
    343. 

  343. <a name="l00244"></a><a class="code" href="classkernel__Gamma__e.html#aea5a494f4b519b9337bfe5b0d4ea6bc4">00244</a>                 ~<a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a>()
    344. 

  344. <a name="l00245"></a>00245                 {}
    345. 

  345. <a name="l00246"></a>00246 
    346. 

  346. <a name="l00247"></a><a class="code" href="classkernel__Gamma__e.html#acd486b90b112472ab22aac52ea58e0ee">00247</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    347. 

  347. <a name="l00248"></a>00248                 {
    348. 

  348. <a name="l00249"></a>00249                         <span class="keywordtype">double</span> crvScl=1.0/sqrt(1.0-x*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)+y*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    349. 

  349. <a name="l00250"></a>00250 
    350. 

  350. <a name="l00251"></a>00251                         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(6,4);
    351. 

  351. <a name="l00252"></a>00252 
    352. 

  352. <a name="l00253"></a>00253                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;6;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    353. 

  353. <a name="l00254"></a>00254                         {
    354. 

  354. <a name="l00255"></a>00255                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    355. 

  355. <a name="l00256"></a>00256                                 {
    356. 

  356. <a name="l00257"></a>00257                                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    357. 

  357. <a name="l00258"></a>00258                                 }
    358. 

  358. <a name="l00259"></a>00259                         }
    359. 

  359. <a name="l00260"></a>00260 
    360. 

  360. <a name="l00261"></a>00261                         retVal.entry(0,0)=crvScl;
    361. 

  361. <a name="l00262"></a>00262                         retVal.entry(0,2)=y*crvScl;
    362. 

  362. <a name="l00263"></a>00263                         retVal.entry(0,3)=-x*crvScl;
    363. 

  363. <a name="l00264"></a>00264                         retVal.entry(1,1)=-y*crvScl;
    364. 

  364. <a name="l00265"></a>00265                         retVal.entry(2,1)=x*crvScl;
    365. 

  365. <a name="l00266"></a>00266 
    366. 

  366. <a name="l00267"></a>00267 <span class="keyword">static</span> list&lt;double&gt; xList;
    367. 

  367. <a name="l00268"></a>00268 <span class="keyword">static</span> list&lt;double&gt; yList;
    368. 

  368. <a name="l00269"></a>00269 <span class="keywordtype">bool</span> isFnd=<span class="keyword">false</span>;
    369. 

  369. <a name="l00270"></a>00270 list&lt;double&gt;::iterator itY=yList.begin();
    370. 

  370. <a name="l00271"></a>00271 <span class="keywordflow">for</span>(list&lt;double&gt;::iterator itX=xList.begin();itX!=xList.end();itX++)
    371. 

  371. <a name="l00272"></a>00272 {
    372. 

  372. <a name="l00273"></a>00273         <span class="keywordflow">if</span>( (*itX)==x &amp;&amp; (*itY)==y )
    373. 

  373. <a name="l00274"></a>00274         {
    374. 

  374. <a name="l00275"></a>00275                 isFnd=<span class="keyword">true</span>;
    375. 

  375. <a name="l00276"></a>00276                 <span class="keywordflow">break</span>;
    376. 

  376. <a name="l00277"></a>00277         }
    377. 

  377. <a name="l00278"></a>00278         itY++;
    378. 

  378. <a name="l00279"></a>00279 }
    379. 

  379. <a name="l00280"></a>00280 <span class="keywordflow">if</span>(!isFnd)
    380. 

  380. <a name="l00281"></a>00281 {
    381. 

  381. <a name="l00282"></a>00282         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Gamma_e at x=&quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; and y=&quot;</span> &lt;&lt; y &lt;&lt; endl;
    382. 

  382. <a name="l00283"></a>00283         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(retVal);
    383. 

  383. <a name="l00284"></a>00284         xList.push_back(x);
    384. 

  384. <a name="l00285"></a>00285         yList.push_back(y);
    385. 

  385. <a name="l00286"></a>00286 }
    386. 

  386. <a name="l00287"></a>00287 
    387. 

  387. <a name="l00288"></a>00288                         <span class="keywordflow">return</span> retVal;
    388. 

  388. <a name="l00289"></a>00289                 }
    389. 

  389. <a name="l00290"></a>00290 };
    390. 

  390. <a name="l00291"></a>00291 
    391. 

  391. <a name="l00292"></a>00292 <span class="keyword">class </span><a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    392. 

  392. <a name="l00293"></a>00293 {
    393. 

  393. <a name="l00294"></a>00294         <span class="keyword">public</span>:
    394. 

  394. <a name="l00295"></a>00295 
    395. 

  395. <a name="l00296"></a><a class="code" href="classkernel__Gamma__R.html#a1ea0a2fa74e896a5b44114d4ecef4479">00296</a>                 <a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a>()
    396. 

  396. <a name="l00297"></a>00297                 {}
    397. 

  397. <a name="l00298"></a>00298 
    398. 

  398. <a name="l00299"></a><a class="code" href="classkernel__Gamma__R.html#aa33da423c6b89875fa73d0a42bd15eef">00299</a>                 ~<a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a>()
    399. 

  399. <a name="l00300"></a>00300                 {}
    400. 

  400. <a name="l00301"></a>00301 
    401. 

  401. <a name="l00302"></a><a class="code" href="classkernel__Gamma__R.html#ac87319b5a458f93e9a31a6cd22b86384">00302</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    402. 

  402. <a name="l00303"></a>00303                 {
    403. 

  403. <a name="l00304"></a>00304                         <span class="keywordtype">double</span> crvScl=1.0/sqrt(1.0-x*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)+y*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    404. 

  404. <a name="l00305"></a>00305 
    405. 

  405. <a name="l00306"></a>00306                         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(6,12);
    406. 

  406. <a name="l00307"></a>00307 
    407. 

  407. <a name="l00308"></a>00308                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;6;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    408. 

  408. <a name="l00309"></a>00309                         {
    409. 

  409. <a name="l00310"></a>00310                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;12;j++)
    410. 

  410. <a name="l00311"></a>00311                                 {
    411. 

  411. <a name="l00312"></a>00312                                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    412. 

  412. <a name="l00313"></a>00313                                 }
    413. 

  413. <a name="l00314"></a>00314                         }
    414. 

  414. <a name="l00315"></a>00315 
    415. 

  415. <a name="l00316"></a>00316                         <span class="keywordtype">double</span> k1=<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    416. 

  416. <a name="l00317"></a>00317                         <span class="keywordtype">double</span> k2=<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    417. 

  417. <a name="l00318"></a>00318                         <span class="keywordtype">double</span> k3=<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2);
    418. 

  418. <a name="l00319"></a>00319                         <span class="keywordtype">double</span> diag;
    419. 

  419. <a name="l00320"></a>00320 
    420. 

  420. <a name="l00321"></a>00321                         diag=k1*(y*d0_dx-x*d0_dy);
    421. 

  421. <a name="l00322"></a>00322                         retVal.entry(0,0)=(diag)*crvScl;
    422. 

  422. <a name="l00323"></a>00323                         retVal.entry(0,1)=(-k3)*crvScl*N0;
    423. 

  423. <a name="l00324"></a>00324                         retVal.entry(0,2)=(k2)*crvScl*N0;
    424. 

  424. <a name="l00325"></a>00325                         retVal.entry(1,0)=(k3)*crvScl*N0;
    425. 

  425. <a name="l00326"></a>00326                         retVal.entry(1,1)=(diag)*crvScl;
    426. 

  426. <a name="l00327"></a>00327                         retVal.entry(1,2)=(-k1)*crvScl*N0;
    427. 

  427. <a name="l00328"></a>00328                         retVal.entry(2,0)=(-k2)*crvScl*N0;
    428. 

  428. <a name="l00329"></a>00329                         retVal.entry(2,1)=(k1)*crvScl*N0;
    429. 

  429. <a name="l00330"></a>00330                         retVal.entry(2,2)=(diag)*crvScl;
    430. 

  430. <a name="l00331"></a>00331 
    431. 

  431. <a name="l00332"></a>00332                         diag=k1*(y*d1_dx-x*d1_dy);
    432. 

  432. <a name="l00333"></a>00333                         retVal.entry(0,3)=(diag)*crvScl;
    433. 

  433. <a name="l00334"></a>00334                         retVal.entry(0,4)=(-k3)*crvScl*N1;
    434. 

  434. <a name="l00335"></a>00335                         retVal.entry(0,5)=(k2)*crvScl*N1;
    435. 

  435. <a name="l00336"></a>00336                         retVal.entry(1,3)=(k3)*crvScl*N1;
    436. 

  436. <a name="l00337"></a>00337                         retVal.entry(1,4)=(diag)*crvScl;
    437. 

  437. <a name="l00338"></a>00338                         retVal.entry(1,5)=(-k1)*crvScl*N1;
    438. 

  438. <a name="l00339"></a>00339                         retVal.entry(2,3)=(-k2)*crvScl*N1;
    439. 

  439. <a name="l00340"></a>00340                         retVal.entry(2,4)=(k1)*crvScl*N1;
    440. 

  440. <a name="l00341"></a>00341                         retVal.entry(2,5)=(diag)*crvScl;
    441. 

  441. <a name="l00342"></a>00342 
    442. 

  442. <a name="l00343"></a>00343                         diag=k1*(y*d2_dx-x*d2_dy);
    443. 

  443. <a name="l00344"></a>00344                         retVal.entry(0,6)=(diag)*crvScl;
    444. 

  444. <a name="l00345"></a>00345                         retVal.entry(0,7)=(-k3)*crvScl*N2;
    445. 

  445. <a name="l00346"></a>00346                         retVal.entry(0,8)=(k2)*crvScl*N2;
    446. 

  446. <a name="l00347"></a>00347                         retVal.entry(1,6)=(k3)*crvScl*N2;
    447. 

  447. <a name="l00348"></a>00348                         retVal.entry(1,7)=(diag)*crvScl;
    448. 

  448. <a name="l00349"></a>00349                         retVal.entry(1,8)=(-k1)*crvScl*N2;
    449. 

  449. <a name="l00350"></a>00350                         retVal.entry(2,6)=(-k2)*crvScl*N2;
    450. 

  450. <a name="l00351"></a>00351                         retVal.entry(2,7)=(k1)*crvScl*N2;
    451. 

  451. <a name="l00352"></a>00352                         retVal.entry(2,8)=(diag)*crvScl;
    452. 

  452. <a name="l00353"></a>00353 
    453. 

  453. <a name="l00354"></a>00354                         diag=k1*(y*d3_dx-x*d3_dy);
    454. 

  454. <a name="l00355"></a>00355                         retVal.entry(0,9)=(diag)*crvScl;
    455. 

  455. <a name="l00356"></a>00356                         retVal.entry(0,10)=(-k3)*crvScl*N3;
    456. 

  456. <a name="l00357"></a>00357                         retVal.entry(0,11)=(k2)*crvScl*N3;
    457. 

  457. <a name="l00358"></a>00358                         retVal.entry(1,9)=(k3)*crvScl*N3;
    458. 

  458. <a name="l00359"></a>00359                         retVal.entry(1,10)=(diag)*crvScl;
    459. 

  459. <a name="l00360"></a>00360                         retVal.entry(1,11)=(-k1)*crvScl*N3;
    460. 

  460. <a name="l00361"></a>00361                         retVal.entry(2,9)=(-k2)*crvScl*N3;
    461. 

  461. <a name="l00362"></a>00362                         retVal.entry(2,10)=(k1)*crvScl*N3;
    462. 

  462. <a name="l00363"></a>00363                         retVal.entry(2,11)=(diag)*crvScl;
    463. 

  463. <a name="l00364"></a>00364 
    464. 

  464. <a name="l00365"></a>00365 <span class="keyword">static</span> list&lt;double&gt; xList;
    465. 

  465. <a name="l00366"></a>00366 <span class="keyword">static</span> list&lt;double&gt; yList;
    466. 

  466. <a name="l00367"></a>00367 <span class="keywordtype">bool</span> isFnd=<span class="keyword">false</span>;
    467. 

  467. <a name="l00368"></a>00368 list&lt;double&gt;::iterator itY=yList.begin();
    468. 

  468. <a name="l00369"></a>00369 <span class="keywordflow">for</span>(list&lt;double&gt;::iterator itX=xList.begin();itX!=xList.end();itX++)
    469. 

  469. <a name="l00370"></a>00370 {
    470. 

  470. <a name="l00371"></a>00371         <span class="keywordflow">if</span>( (*itX)==x &amp;&amp; (*itY)==y )
    471. 

  471. <a name="l00372"></a>00372         {
    472. 

  472. <a name="l00373"></a>00373                 isFnd=<span class="keyword">true</span>;
    473. 

  473. <a name="l00374"></a>00374                 <span class="keywordflow">break</span>;
    474. 

  474. <a name="l00375"></a>00375         }
    475. 

  475. <a name="l00376"></a>00376         itY++;
    476. 

  476. <a name="l00377"></a>00377 }
    477. 

  477. <a name="l00378"></a>00378 <span class="keywordflow">if</span>(!isFnd)
    478. 

  478. <a name="l00379"></a>00379 {
    479. 

  479. <a name="l00380"></a>00380         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Gamma_R at x=&quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; and y=&quot;</span> &lt;&lt; y &lt;&lt; endl;
    480. 

  480. <a name="l00381"></a>00381         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(retVal);
    481. 

  481. <a name="l00382"></a>00382         xList.push_back(x);
    482. 

  482. <a name="l00383"></a>00383         yList.push_back(y);
    483. 

  483. <a name="l00384"></a>00384 }
    484. 

  484. <a name="l00385"></a>00385 
    485. 

  485. <a name="l00386"></a>00386                         <span class="keywordflow">return</span> retVal;
    486. 

  486. <a name="l00387"></a>00387                 }
    487. 

  487. <a name="l00388"></a>00388 };
    488. 

  488. <a name="l00389"></a>00389 
    489. 

  489. <a name="l00390"></a>00390 <span class="keyword">class </span><a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    490. 

  490. <a name="l00391"></a>00391 {
    491. 

  491. <a name="l00392"></a>00392         <span class="keyword">public</span>:
    492. 

  492. <a name="l00393"></a>00393 
    493. 

  493. <a name="l00394"></a><a class="code" href="classkernel__Gamma__l.html#ace8a7f2eec4459c2ca82c2e7fdef52d6">00394</a>                 <a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a>()
    494. 

  494. <a name="l00395"></a>00395                 {}
    495. 

  495. <a name="l00396"></a>00396 
    496. 

  496. <a name="l00397"></a><a class="code" href="classkernel__Gamma__l.html#ac511c53641238dfb8bbbd6bf59d0734e">00397</a>                 ~<a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a>()
    497. 

  497. <a name="l00398"></a>00398                 {}
    498. 

  498. <a name="l00399"></a>00399 
    499. 

  499. <a name="l00400"></a><a class="code" href="classkernel__Gamma__l.html#a940739310670c9db333b3279baef50a9">00400</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    500. 

  500. <a name="l00401"></a>00401                 {
    501. 

  501. <a name="l00402"></a>00402                         <span class="keywordtype">double</span> crvScl=1.0/sqrt(1.0-x*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)+y*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    502. 

  502. <a name="l00403"></a>00403 
    503. 

  503. <a name="l00404"></a>00404                         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(6,12);
    504. 

  504. <a name="l00405"></a>00405 
    505. 

  505. <a name="l00406"></a>00406                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;6;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    506. 

  506. <a name="l00407"></a>00407                         {
    507. 

  507. <a name="l00408"></a>00408                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;12;j++)
    508. 

  508. <a name="l00409"></a>00409                                 {
    509. 

  509. <a name="l00410"></a>00410                                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    510. 

  510. <a name="l00411"></a>00411                                 }
    511. 

  511. <a name="l00412"></a>00412                         }
    512. 

  512. <a name="l00413"></a>00413 
    513. 

  513. <a name="l00414"></a>00414                         retVal.entry(0,0)=crvScl*N0;
    514. 

  514. <a name="l00415"></a>00415                         retVal.entry(1,1)=crvScl*N0;
    515. 

  515. <a name="l00416"></a>00416                         retVal.entry(2,2)=crvScl*N0;
    516. 

  516. <a name="l00417"></a>00417 
    517. 

  517. <a name="l00418"></a>00418                         retVal.entry(0,3)=crvScl*N1;
    518. 

  518. <a name="l00419"></a>00419                         retVal.entry(1,4)=crvScl*N1;
    519. 

  519. <a name="l00420"></a>00420                         retVal.entry(2,5)=crvScl*N1;
    520. 

  520. <a name="l00421"></a>00421 
    521. 

  521. <a name="l00422"></a>00422                         retVal.entry(0,6)=crvScl*N2;
    522. 

  522. <a name="l00423"></a>00423                         retVal.entry(1,7)=crvScl*N2;
    523. 

  523. <a name="l00424"></a>00424                         retVal.entry(2,8)=crvScl*N2;
    524. 

  524. <a name="l00425"></a>00425 
    525. 

  525. <a name="l00426"></a>00426                         retVal.entry(0,9)=crvScl*N3;
    526. 

  526. <a name="l00427"></a>00427                         retVal.entry(1,10)=crvScl*N3;
    527. 

  527. <a name="l00428"></a>00428                         retVal.entry(2,11)=crvScl*N3;
    528. 

  528. <a name="l00429"></a>00429 
    529. 

  529. <a name="l00430"></a>00430 <span class="keyword">static</span> list&lt;double&gt; xList;
    530. 

  530. <a name="l00431"></a>00431 <span class="keyword">static</span> list&lt;double&gt; yList;
    531. 

  531. <a name="l00432"></a>00432 <span class="keywordtype">bool</span> isFnd=<span class="keyword">false</span>;
    532. 

  532. <a name="l00433"></a>00433 list&lt;double&gt;::iterator itY=yList.begin();
    533. 

  533. <a name="l00434"></a>00434 <span class="keywordflow">for</span>(list&lt;double&gt;::iterator itX=xList.begin();itX!=xList.end();itX++)
    534. 

  534. <a name="l00435"></a>00435 {
    535. 

  535. <a name="l00436"></a>00436         <span class="keywordflow">if</span>( (*itX)==x &amp;&amp; (*itY)==y )
    536. 

  536. <a name="l00437"></a>00437         {
    537. 

  537. <a name="l00438"></a>00438                 isFnd=<span class="keyword">true</span>;
    538. 

  538. <a name="l00439"></a>00439                 <span class="keywordflow">break</span>;
    539. 

  539. <a name="l00440"></a>00440         }
    540. 

  540. <a name="l00441"></a>00441         itY++;
    541. 

  541. <a name="l00442"></a>00442 }
    542. 

  542. <a name="l00443"></a>00443 <span class="keywordflow">if</span>(!isFnd)
    543. 

  543. <a name="l00444"></a>00444 {
    544. 

  544. <a name="l00445"></a>00445         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Gamma_l at x=&quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; and y=&quot;</span> &lt;&lt; y &lt;&lt; endl;
    545. 

  545. <a name="l00446"></a>00446         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(retVal);
    546. 

  546. <a name="l00447"></a>00447         xList.push_back(x);
    547. 

  547. <a name="l00448"></a>00448         yList.push_back(y);
    548. 

  548. <a name="l00449"></a>00449 }
    549. 

  549. <a name="l00450"></a>00450 
    550. 

  550. <a name="l00451"></a>00451                         <span class="keywordflow">return</span> retVal;
    551. 

  551. <a name="l00452"></a>00452                 }
    552. 

  552. <a name="l00453"></a>00453 };
    553. 

  553. <a name="l00454"></a>00454 
    554. 

  554. <a name="l00455"></a>00455 <span class="keyword">class </span><a class="code" href="classkernel__Dc.html">kernel_Dc</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    555. 

  555. <a name="l00456"></a>00456 {
    556. 

  556. <a name="l00457"></a>00457         <span class="keyword">public</span>:
    557. 

  557. <a name="l00458"></a>00458 
    558. 

  558. <a name="l00459"></a><a class="code" href="classkernel__Dc.html#aea3dfa2b7f9768166ffb9e116231db20">00459</a>                 <a class="code" href="classkernel__Dc.html">kernel_Dc</a>()
    559. 

  559. <a name="l00460"></a>00460                 {}
    560. 

  560. <a name="l00461"></a>00461 
    561. 

  561. <a name="l00462"></a><a class="code" href="classkernel__Dc.html#a3d710340a043157b6da47b13e63b5776">00462</a>                 ~<a class="code" href="classkernel__Dc.html">kernel_Dc</a>()
    562. 

  562. <a name="l00463"></a>00463                 {}
    563. 

  563. <a name="l00464"></a>00464 
    564. 

  564. <a name="l00465"></a><a class="code" href="classkernel__Dc.html#a96dca14c45f0cfa3d96fb2b142fda57a">00465</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    565. 

  565. <a name="l00466"></a>00466                 {
    566. 

  566. <a name="l00467"></a>00467 <span class="comment">//                      double crvScl=1.0/sqrt(1.0-x*curvature.entry(2)+y*curvature.entry(1));</span>
    567. 

  567. <a name="l00468"></a>00468 
    568. 

  568. <a name="l00469"></a>00469                         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(12,4);
    569. 

  569. <a name="l00470"></a>00470 
    570. 

  570. <a name="l00471"></a>00471                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;12;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    571. 

  571. <a name="l00472"></a>00472                         {
    572. 

  572. <a name="l00473"></a>00473                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    573. 

  573. <a name="l00474"></a>00474                                 {
    574. 

  574. <a name="l00475"></a>00475                                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    575. 

  575. <a name="l00476"></a>00476                                 }
    576. 

  576. <a name="l00477"></a>00477                         }
    577. 

  577. <a name="l00478"></a>00478 
    578. 

  578. <a name="l00479"></a>00479                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,0)=N0;
    579. 

  579. <a name="l00480"></a>00480                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,1)=N0;
    580. 

  580. <a name="l00481"></a>00481                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,2)=N0;
    581. 

  581. <a name="l00482"></a>00482                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,3)=d0_dy;
    582. 

  582. <a name="l00483"></a>00483                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,3)=-d0_dx;
    583. 

  583. <a name="l00484"></a>00484 
    584. 

  584. <a name="l00485"></a>00485                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,0)=N1;
    585. 

  585. <a name="l00486"></a>00486                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,1)=N1;
    586. 

  586. <a name="l00487"></a>00487                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,2)=N1;
    587. 

  587. <a name="l00488"></a>00488                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,3)=d1_dy;
    588. 

  588. <a name="l00489"></a>00489                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,3)=-d1_dx;
    589. 

  589. <a name="l00490"></a>00490 
    590. 

  590. <a name="l00491"></a>00491                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(6,0)=N2;
    591. 

  591. <a name="l00492"></a>00492                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(7,1)=N2;
    592. 

  592. <a name="l00493"></a>00493                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(8,2)=N2;
    593. 

  593. <a name="l00494"></a>00494                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(7,3)=d2_dy;
    594. 

  594. <a name="l00495"></a>00495                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(8,3)=-d2_dx;
    595. 

  595. <a name="l00496"></a>00496 
    596. 

  596. <a name="l00497"></a>00497                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(9,0)=N3;
    597. 

  597. <a name="l00498"></a>00498                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(10,1)=N3;
    598. 

  598. <a name="l00499"></a>00499                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(11,2)=N3;
    599. 

  599. <a name="l00500"></a>00500                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(10,3)=d3_dy;
    600. 

  600. <a name="l00501"></a>00501                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(11,3)=-d3_dx;
    601. 

  601. <a name="l00502"></a>00502 
    602. 

  602. <a name="l00503"></a>00503                         <span class="keywordflow">return</span> retVal;
    603. 

  603. <a name="l00504"></a>00504                 }
    604. 

  604. <a name="l00505"></a>00505 };
    605. 

  605. <a name="l00506"></a>00506 
    606. 

  606. <a name="l00507"></a>00507 <span class="keyword">class </span><a class="code" href="classcxModel.html">cxModel</a>
    607. 

  607. <a name="l00508"></a>00508 {
    608. 

  608. <a name="l00509"></a>00509         <span class="keyword">private</span>:
    609. 

  609. <a name="l00510"></a>00510 
    610. 

  610. <a name="l00511"></a>00511                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz;
    611. 

  611. <a name="l00512"></a>00512                 <span class="keywordtype">double</span> w;
    612. 

  612. <a name="l00513"></a>00513                 <span class="keywordtype">double</span> h;
    613. 

  613. <a name="l00514"></a>00514 
    614. 

  614. <a name="l00515"></a>00515                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> getElmCnt();
    615. 

  615. <a name="l00516"></a>00516                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> getBLNode(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm);
    616. 

  616. <a name="l00517"></a>00517                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> getBRNode(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm);
    617. 

  617. <a name="l00518"></a>00518                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> getTLNode(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm);
    618. 

  618. <a name="l00519"></a>00519                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> getTRNode(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm);
    619. 

  619. <a name="l00520"></a>00520                 <span class="keywordtype">double</span> nodeX(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> nd);
    620. 

  620. <a name="l00521"></a>00521                 <span class="keywordtype">double</span> nodeY(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> nd);
    621. 

  621. <a name="l00522"></a>00522                 <span class="keywordtype">double</span> shape(<span class="keywordtype">unsigned</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    622. 

  622. <a name="l00523"></a>00523                 <span class="keywordtype">double</span> gradS(<span class="keywordtype">unsigned</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    623. 

  623. <a name="l00524"></a>00524                 <span class="keywordtype">double</span> gradT(<span class="keywordtype">unsigned</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    624. 

  624. <a name="l00525"></a>00525                 <span class="keywordtype">double</span> paramValue(<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3);
    625. 

  625. <a name="l00526"></a>00526                 <span class="keywordtype">double</span> paramGradS(<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3);
    626. 

  626. <a name="l00527"></a>00527                 <span class="keywordtype">double</span> paramGradT(<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3);
    627. 

  627. <a name="l00528"></a>00528                 <span class="keywordtype">double</span> xVal(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    628. 

  628. <a name="l00529"></a>00529                 <span class="keywordtype">double</span> yVal(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    629. 

  629. <a name="l00530"></a>00530                 <span class="keywordtype">double</span> dXdS(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    630. 

  630. <a name="l00531"></a>00531                 <span class="keywordtype">double</span> dXdT(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    631. 

  631. <a name="l00532"></a>00532                 <span class="keywordtype">double</span> dYdS(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    632. 

  632. <a name="l00533"></a>00533                 <span class="keywordtype">double</span> dYdT(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    633. 

  633. <a name="l00534"></a>00534                 <span class="keywordtype">double</span> jac(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    634. 

  634. <a name="l00535"></a>00535                 <span class="keywordtype">double</span> gradX(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    635. 

  635. <a name="l00536"></a>00536                 <span class="keywordtype">double</span> gradY(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    636. 

  636. <a name="l00537"></a>00537                 <span class="keywordtype">double</span> paramGradX(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3);
    637. 

  637. <a name="l00538"></a>00538                 <span class="keywordtype">double</span> paramGradY(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3);
    638. 

  638. <a name="l00539"></a>00539 
    639. 

  639. <a name="l00540"></a>00540                 <span class="keyword">template</span>&lt;<span class="keyword">class</span> largeType,<span class="keyword">class</span> smallType&gt; <span class="keywordtype">void</span> addMatrix(largeType&amp; lrg,<span class="keyword">const</span> smallType&amp; sml,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">bool</span> explodeRows=<span class="keyword">false</span>,<span class="keywordtype">bool</span> explodeCols=<span class="keyword">false</span>,<span class="keywordtype">double</span> scl=1.0);
    640. 

  640. <a name="l00541"></a>00541                 <span class="keyword">template</span>&lt;<span class="keyword">class</span> retType&gt; retType integrate(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<a class="code" href="classkernel.html">kernel&lt;retType&gt;</a>&amp; krnl);
    641. 

  641. <a name="l00542"></a>00542 
    642. 

  642. <a name="l00543"></a>00543         <span class="keyword">public</span>:
    643. 

  643. <a name="l00544"></a>00544 
    644. 

  644. <a name="l00545"></a><a class="code" href="classcxModel.html#afe9e40fd171ba9f1ce29942398f9e269">00545</a>                 <a class="code" href="classcxModel.html">cxModel</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz_in=0) : sz(sz_in) , w(1.0) , h(1.0)
    645. 

  645. <a name="l00546"></a>00546                 {}
    646. 

  646. <a name="l00547"></a>00547 
    647. 

  647. <a name="l00548"></a><a class="code" href="classcxModel.html#ae2a8c838778b765666687516980e1b37">00548</a>                 ~<a class="code" href="classcxModel.html">cxModel</a>()
    648. 

  648. <a name="l00549"></a>00549                 {}
    649. 

  649. <a name="l00550"></a>00550 
    650. 

  650. <a name="l00551"></a>00551                 <span class="keywordtype">void</span> resize(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz_in);
    651. 

  651. <a name="l00552"></a>00552                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> size();
    652. 

  652. <a name="l00553"></a>00553                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> ndCnt();
    653. 

  653. <a name="l00554"></a>00554                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elmDofCnt();
    654. 

  654. <a name="l00555"></a>00555                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> dofCnt();
    655. 

  655. <a name="l00556"></a>00556 
    656. 

  656. <a name="l00557"></a>00557                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> getPsi();
    657. 

  657. <a name="l00558"></a>00558                 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> getE();
    658. 

  658. <a name="l00559"></a>00559                 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> getH();
    659. 

  659. <a name="l00560"></a>00560                 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> getDee();
    660. 

  660. <a name="l00561"></a>00561                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> getDae();
    661. 

  661. <a name="l00562"></a>00562                 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> getDar();
    662. 

  662. <a name="l00563"></a>00563                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> getDre();
    663. 

  663. <a name="l00564"></a>00564                 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> getDal();
    664. 

  664. <a name="l00565"></a>00565                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> getDle();
    665. 

  665. <a name="l00566"></a>00566                 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> getDrr();
    666. 

  666. <a name="l00567"></a>00567                 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> getDll();
    667. 

  667. <a name="l00568"></a>00568                 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> getDrl();
    668. 

  668. <a name="l00569"></a>00569                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> getDc();
    669. 

  669. <a name="l00570"></a>00570 };
    670. 

  670. <a name="l00571"></a>00571 
    671. 

  671. <a name="l00572"></a><a class="code" href="classcxModel.html#a2279f156699d428f83ee1eeb25ed79d3">00572</a> <span class="keywordtype">void</span> <a class="code" href="classcxModel.html#a2279f156699d428f83ee1eeb25ed79d3">cxModel::resize</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz_in)
    672. 

  672. <a name="l00573"></a>00573 {
    673. 

  673. <a name="l00574"></a>00574         sz=sz_in;
    674. 

  674. <a name="l00575"></a>00575 }
    675. 

  675. <a name="l00576"></a>00576 
    676. 

  676. <a name="l00577"></a><a class="code" href="classcxModel.html#a4ec5ed20a25be01be805293e1c3586b3">00577</a> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classcxModel.html#a4ec5ed20a25be01be805293e1c3586b3">cxModel::size</a>()
    677. 

  677. <a name="l00578"></a>00578 {
    678. 

  678. <a name="l00579"></a>00579         <span class="keywordflow">return</span> sz;
    679. 

  679. <a name="l00580"></a>00580 }
    680. 

  680. <a name="l00581"></a>00581 
    681. 

  681. <a name="l00582"></a><a class="code" href="classcxModel.html#a4b12e2705af1623f602c6a1551a44c9b">00582</a> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classcxModel.html#a4b12e2705af1623f602c6a1551a44c9b">cxModel::ndCnt</a>()
    682. 

  682. <a name="l00583"></a>00583 {
    683. 

  683. <a name="l00584"></a>00584         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> retVal=(sz+1)*(sz+1);
    684. 

  684. <a name="l00585"></a>00585         <span class="keywordflow">return</span> retVal;
    685. 

  685. <a name="l00586"></a>00586 }
    686. 

  686. <a name="l00587"></a>00587 
    687. 

  687. <a name="l00588"></a>00588 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classcxModel.html#ab4fc167cd5ee5681591644618d9e5a19">cxModel::elmDofCnt</a>()
    688. 

  688. <a name="l00589"></a>00589 {
    689. 

  689. <a name="l00590"></a>00590         <span class="keywordflow">return</span> 12;
    690. 

  690. <a name="l00591"></a>00591 }
    691. 

  691. <a name="l00592"></a>00592 
    692. 

  692. <a name="l00593"></a>00593 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classcxModel.html#a635f7fb8d72d8e9034c106060f65fa56">cxModel::dofCnt</a>()
    693. 

  693. <a name="l00594"></a>00594 {
    694. 

  694. <a name="l00595"></a>00595         <span class="keywordflow">return</span> 3.0*this-&gt;ndCnt();
    695. 

  695. <a name="l00596"></a>00596 }
    696. 

  696. <a name="l00597"></a>00597 
    697. 

  697. <a name="l00598"></a><a class="code" href="classcxModel.html#aa026cdb3d052da5c34a681eb0980d970">00598</a> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classcxModel.html#aa026cdb3d052da5c34a681eb0980d970">cxModel::getElmCnt</a>()
    698. 

  698. <a name="l00599"></a>00599 {
    699. 

  699. <a name="l00600"></a>00600         <span class="keywordflow">return</span> sz*sz;
    700. 

  700. <a name="l00601"></a>00601 }
    701. 

  701. <a name="l00602"></a>00602 
    702. 

  702. <a name="l00603"></a>00603 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> cxModel::getBLNode(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm)
    703. 

  703. <a name="l00604"></a>00604 {
    704. 

  704. <a name="l00605"></a>00605         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> retVal=elm+(elm-elm%sz)/sz;
    705. 

  705. <a name="l00606"></a>00606         <span class="keywordflow">return</span> retVal;
    706. 

  706. <a name="l00607"></a>00607 }
    707. 

  707. <a name="l00608"></a>00608 
    708. 

  708. <a name="l00609"></a>00609 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> cxModel::getBRNode(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm)
    709. 

  709. <a name="l00610"></a>00610 {
    710. 

  710. <a name="l00611"></a>00611         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> retVal=elm+1+(elm-elm%sz)/sz;
    711. 

  711. <a name="l00612"></a>00612         <span class="keywordflow">return</span> retVal;
    712. 

  712. <a name="l00613"></a>00613 }
    713. 

  713. <a name="l00614"></a>00614 
    714. 

  714. <a name="l00615"></a>00615 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> cxModel::getTLNode(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm)
    715. 

  715. <a name="l00616"></a>00616 {
    716. 

  716. <a name="l00617"></a>00617         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> retVal=getBLNode(elm+sz);
    717. 

  717. <a name="l00618"></a>00618         <span class="keywordflow">return</span> retVal;
    718. 

  718. <a name="l00619"></a>00619 }
    719. 

  719. <a name="l00620"></a>00620 
    720. 

  720. <a name="l00621"></a>00621 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> cxModel::getTRNode(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm)
    721. 

  721. <a name="l00622"></a>00622 {
    722. 

  722. <a name="l00623"></a>00623         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> retVal=getBRNode(elm+sz);
    723. 

  723. <a name="l00624"></a>00624         <span class="keywordflow">return</span> retVal;
    724. 

  724. <a name="l00625"></a>00625 }
    725. 

  725. <a name="l00626"></a>00626 
    726. 

  726. <a name="l00627"></a>00627 <span class="keywordtype">double</span> cxModel::nodeX(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> nd)
    727. 

  727. <a name="l00628"></a>00628 {
    728. 

  728. <a name="l00629"></a>00629         <span class="keywordtype">double</span> deltaX=w/double(sz);
    729. 

  729. <a name="l00630"></a>00630         <span class="keywordtype">double</span> retVal=double(nd%(sz+1))*deltaX-0.5*w;
    730. 

  730. <a name="l00631"></a>00631         <span class="keywordflow">return</span> retVal;
    731. 

  731. <a name="l00632"></a>00632 }
    732. 

  732. <a name="l00633"></a>00633 
    733. 

  733. <a name="l00634"></a>00634 <span class="keywordtype">double</span> cxModel::nodeY(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> nd)
    734. 

  734. <a name="l00635"></a>00635 {
    735. 

  735. <a name="l00636"></a>00636         <span class="keywordtype">double</span> deltaY=h/double(sz);
    736. 

  736. <a name="l00637"></a>00637         <span class="keywordtype">double</span> retVal=double((nd-nd%(sz+1))/(sz+1))*deltaY-0.5*h;
    737. 

  737. <a name="l00638"></a>00638         <span class="keywordflow">return</span> retVal;
    738. 

  738. <a name="l00639"></a>00639 }
    739. 

  739. <a name="l00640"></a>00640 
    740. 

  740. <a name="l00641"></a>00641 <span class="keywordtype">double</span> cxModel::shape(<span class="keywordtype">unsigned</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>)
    741. 

  741. <a name="l00642"></a>00642 {
    742. 

  742. <a name="l00643"></a>00643         <span class="keywordtype">double</span> retVal;
    743. 

  743. <a name="l00644"></a>00644         <span class="keywordflow">switch</span>(lclNd)
    744. 

  744. <a name="l00645"></a>00645         {
    745. 

  745. <a name="l00646"></a>00646                 <span class="keywordflow">case</span> 0:
    746. 

  746. <a name="l00647"></a>00647                         retVal=0.25*(1.0-s)*(1.0-t);
    747. 

  747. <a name="l00648"></a>00648                         <span class="keywordflow">break</span>;
    748. 

  748. <a name="l00649"></a>00649                 <span class="keywordflow">case</span> 1:
    749. 

  749. <a name="l00650"></a>00650                         retVal=0.25*(s+1.0)*(1.0-<a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    750. 

  750. <a name="l00651"></a>00651                         <span class="keywordflow">break</span>;
    751. 

  751. <a name="l00652"></a>00652                 <span class="keywordflow">case</span> 2:
    752. 

  752. <a name="l00653"></a>00653                         retVal=0.25*(1.0-s)*(t+1.0);
    753. 

  753. <a name="l00654"></a>00654                         <span class="keywordflow">break</span>;
    754. 

  754. <a name="l00655"></a>00655                 <span class="keywordflow">case</span> 3:
    755. 

  755. <a name="l00656"></a>00656                         retVal=0.25*(s+1.0)*(t+1.0);
    756. 

  756. <a name="l00657"></a>00657                         <span class="keywordflow">break</span>;
    757. 

  757. <a name="l00658"></a>00658                 <span class="keywordflow">default</span>:
    758. 

  758. <a name="l00659"></a>00659                         <span class="keywordflow">throw</span> 1;
    759. 

  759. <a name="l00660"></a>00660         }
    760. 

  760. <a name="l00661"></a>00661         <span class="keywordflow">return</span> retVal;
    761. 

  761. <a name="l00662"></a>00662 }
    762. 

  762. <a name="l00663"></a>00663 
    763. 

  763. <a name="l00664"></a>00664 <span class="keywordtype">double</span> cxModel::gradS(<span class="keywordtype">unsigned</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    764. 

  764. <a name="l00665"></a>00665 {
    765. 

  765. <a name="l00666"></a>00666         <span class="keywordtype">double</span> retVal;
    766. 

  766. <a name="l00667"></a>00667         <span class="keywordflow">switch</span>(lclNd)
    767. 

  767. <a name="l00668"></a>00668         {
    768. 

  768. <a name="l00669"></a>00669                 <span class="keywordflow">case</span> 0:
    769. 

  769. <a name="l00670"></a>00670                         retVal=-0.25*(1.0-<a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    770. 

  770. <a name="l00671"></a>00671                         <span class="keywordflow">break</span>;
    771. 

  771. <a name="l00672"></a>00672                 <span class="keywordflow">case</span> 1:
    772. 

  772. <a name="l00673"></a>00673                         retVal=0.25*(1.0-<a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    773. 

  773. <a name="l00674"></a>00674                         <span class="keywordflow">break</span>;
    774. 

  774. <a name="l00675"></a>00675                 <span class="keywordflow">case</span> 2:
    775. 

  775. <a name="l00676"></a>00676                         retVal=-0.25*(t+1.0);
    776. 

  776. <a name="l00677"></a>00677                         <span class="keywordflow">break</span>;
    777. 

  777. <a name="l00678"></a>00678                 <span class="keywordflow">case</span> 3:
    778. 

  778. <a name="l00679"></a>00679                         retVal=0.25*(t+1.0);
    779. 

  779. <a name="l00680"></a>00680                         <span class="keywordflow">break</span>;
    780. 

  780. <a name="l00681"></a>00681                 <span class="keywordflow">default</span>:
    781. 

  781. <a name="l00682"></a>00682                         <span class="keywordflow">throw</span> 1;
    782. 

  782. <a name="l00683"></a>00683         }
    783. 

  783. <a name="l00684"></a>00684         <span class="keywordflow">return</span> retVal;
    784. 

  784. <a name="l00685"></a>00685 }
    785. 

  785. <a name="l00686"></a>00686 
    786. 

  786. <a name="l00687"></a>00687 <span class="keywordtype">double</span> cxModel::gradT(<span class="keywordtype">unsigned</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    787. 

  787. <a name="l00688"></a>00688 {
    788. 

  788. <a name="l00689"></a>00689         <span class="keywordtype">double</span> retVal;
    789. 

  789. <a name="l00690"></a>00690         <span class="keywordflow">switch</span>(lclNd)
    790. 

  790. <a name="l00691"></a>00691         {
    791. 

  791. <a name="l00692"></a>00692                 <span class="keywordflow">case</span> 0:
    792. 

  792. <a name="l00693"></a>00693                         retVal=-0.25*(1.0-s);
    793. 

  793. <a name="l00694"></a>00694                         <span class="keywordflow">break</span>;
    794. 

  794. <a name="l00695"></a>00695                 <span class="keywordflow">case</span> 1:
    795. 

  795. <a name="l00696"></a>00696                         retVal=-0.25*(s+1.0);
    796. 

  796. <a name="l00697"></a>00697                         <span class="keywordflow">break</span>;
    797. 

  797. <a name="l00698"></a>00698                 <span class="keywordflow">case</span> 2:
    798. 

  798. <a name="l00699"></a>00699                         retVal=0.25*(1.0-s);
    799. 

  799. <a name="l00700"></a>00700                         <span class="keywordflow">break</span>;
    800. 

  800. <a name="l00701"></a>00701                 <span class="keywordflow">case</span> 3:
    801. 

  801. <a name="l00702"></a>00702                         retVal=0.25*(s+1.0);
    802. 

  802. <a name="l00703"></a>00703                         <span class="keywordflow">break</span>;
    803. 

  803. <a name="l00704"></a>00704                 <span class="keywordflow">default</span>:
    804. 

  804. <a name="l00705"></a>00705                         <span class="keywordflow">throw</span> 1;
    805. 

  805. <a name="l00706"></a>00706         }
    806. 

  806. <a name="l00707"></a>00707         <span class="keywordflow">return</span> retVal;
    807. 

  807. <a name="l00708"></a>00708 }
    808. 

  808. <a name="l00709"></a>00709 
    809. 

  809. <a name="l00710"></a>00710 <span class="keywordtype">double</span> cxModel::paramValue(<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3)
    810. 

  810. <a name="l00711"></a>00711 {
    811. 

  811. <a name="l00712"></a>00712         <span class="keywordtype">double</span> retVal=shape(0,s,t)*val0+shape(1,s,t)*val1+shape(2,s,t)*val2+shape(3,s,t)*val3;
    812. 

  812. <a name="l00713"></a>00713         <span class="keywordflow">return</span> retVal;
    813. 

  813. <a name="l00714"></a>00714 }
    814. 

  814. <a name="l00715"></a>00715 
    815. 

  815. <a name="l00716"></a>00716 <span class="keywordtype">double</span> cxModel::paramGradS(<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3)
    816. 

  816. <a name="l00717"></a>00717 {
    817. 

  817. <a name="l00718"></a>00718         <span class="keywordtype">double</span> retVal=gradS(0,s,t)*val0+gradS(1,s,t)*val1+gradS(2,s,t)*val2+gradS(3,s,t)*val3;
    818. 

  818. <a name="l00719"></a>00719         <span class="keywordflow">return</span> retVal;
    819. 

  819. <a name="l00720"></a>00720 }
    820. 

  820. <a name="l00721"></a>00721 
    821. 

  821. <a name="l00722"></a>00722 <span class="keywordtype">double</span> cxModel::paramGradT(<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3)
    822. 

  822. <a name="l00723"></a>00723 {
    823. 

  823. <a name="l00724"></a>00724         <span class="keywordtype">double</span> retVal=gradT(0,s,t)*val0+gradT(1,s,t)*val1+gradT(2,s,t)*val2+gradT(3,s,t)*val3;
    824. 

  824. <a name="l00725"></a>00725         <span class="keywordflow">return</span> retVal;
    825. 

  825. <a name="l00726"></a>00726 }
    826. 

  826. <a name="l00727"></a>00727 
    827. 

  827. <a name="l00728"></a>00728 <span class="keywordtype">double</span> cxModel::xVal(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    828. 

  828. <a name="l00729"></a>00729 {
    829. 

  829. <a name="l00730"></a>00730         <span class="keywordtype">double</span> val0=nodeX(getBLNode(elm));
    830. 

  830. <a name="l00731"></a>00731         <span class="keywordtype">double</span> val1=nodeX(getBRNode(elm));
    831. 

  831. <a name="l00732"></a>00732         <span class="keywordtype">double</span> val2=nodeX(getTLNode(elm));
    832. 

  832. <a name="l00733"></a>00733         <span class="keywordtype">double</span> val3=nodeX(getTRNode(elm));
    833. 

  833. <a name="l00734"></a>00734 
    834. 

  834. <a name="l00735"></a>00735         <span class="keywordtype">double</span> retVal=paramValue(s,t,val0,val1,val2,val3);
    835. 

  835. <a name="l00736"></a>00736 
    836. 

  836. <a name="l00737"></a>00737         <span class="keywordflow">return</span> retVal;
    837. 

  837. <a name="l00738"></a>00738 }
    838. 

  838. <a name="l00739"></a>00739 
    839. 

  839. <a name="l00740"></a>00740 <span class="keywordtype">double</span> cxModel::yVal(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    840. 

  840. <a name="l00741"></a>00741 {
    841. 

  841. <a name="l00742"></a>00742         <span class="keywordtype">double</span> val0=nodeY(getBLNode(elm));
    842. 

  842. <a name="l00743"></a>00743         <span class="keywordtype">double</span> val1=nodeY(getBRNode(elm));
    843. 

  843. <a name="l00744"></a>00744         <span class="keywordtype">double</span> val2=nodeY(getTLNode(elm));
    844. 

  844. <a name="l00745"></a>00745         <span class="keywordtype">double</span> val3=nodeY(getTRNode(elm));
    845. 

  845. <a name="l00746"></a>00746 
    846. 

  846. <a name="l00747"></a>00747         <span class="keywordtype">double</span> retVal=paramValue(s,t,val0,val1,val2,val3);
    847. 

  847. <a name="l00748"></a>00748 
    848. 

  848. <a name="l00749"></a>00749         <span class="keywordflow">return</span> retVal;
    849. 

  849. <a name="l00750"></a>00750 }
    850. 

  850. <a name="l00751"></a>00751 
    851. 

  851. <a name="l00752"></a>00752 <span class="keywordtype">double</span> cxModel::dXdS(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    852. 

  852. <a name="l00753"></a>00753 {
    853. 

  853. <a name="l00754"></a>00754         <span class="keywordtype">double</span> val0=nodeX(getBLNode(elm));
    854. 

  854. <a name="l00755"></a>00755         <span class="keywordtype">double</span> val1=nodeX(getBRNode(elm));
    855. 

  855. <a name="l00756"></a>00756         <span class="keywordtype">double</span> val2=nodeX(getTLNode(elm));
    856. 

  856. <a name="l00757"></a>00757         <span class="keywordtype">double</span> val3=nodeX(getTRNode(elm));
    857. 

  857. <a name="l00758"></a>00758 
    858. 

  858. <a name="l00759"></a>00759         <span class="keywordtype">double</span> retVal=paramGradS(s,t,val0,val1,val2,val3);
    859. 

  859. <a name="l00760"></a>00760 
    860. 

  860. <a name="l00761"></a>00761         <span class="keywordflow">return</span> retVal;
    861. 

  861. <a name="l00762"></a>00762 }
    862. 

  862. <a name="l00763"></a>00763 
    863. 

  863. <a name="l00764"></a>00764 <span class="keywordtype">double</span> cxModel::dXdT(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    864. 

  864. <a name="l00765"></a>00765 {
    865. 

  865. <a name="l00766"></a>00766         <span class="keywordtype">double</span> val0=nodeX(getBLNode(elm));
    866. 

  866. <a name="l00767"></a>00767         <span class="keywordtype">double</span> val1=nodeX(getBRNode(elm));
    867. 

  867. <a name="l00768"></a>00768         <span class="keywordtype">double</span> val2=nodeX(getTLNode(elm));
    868. 

  868. <a name="l00769"></a>00769         <span class="keywordtype">double</span> val3=nodeX(getTRNode(elm));
    869. 

  869. <a name="l00770"></a>00770 
    870. 

  870. <a name="l00771"></a>00771         <span class="keywordtype">double</span> retVal=paramGradT(s,t,val0,val1,val2,val3);
    871. 

  871. <a name="l00772"></a>00772 
    872. 

  872. <a name="l00773"></a>00773         <span class="keywordflow">return</span> retVal;
    873. 

  873. <a name="l00774"></a>00774 }
    874. 

  874. <a name="l00775"></a>00775 
    875. 

  875. <a name="l00776"></a>00776 <span class="keywordtype">double</span> cxModel::dYdS(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    876. 

  876. <a name="l00777"></a>00777 {
    877. 

  877. <a name="l00778"></a>00778         <span class="keywordtype">double</span> val0=nodeY(getBLNode(elm));
    878. 

  878. <a name="l00779"></a>00779         <span class="keywordtype">double</span> val1=nodeY(getBRNode(elm));
    879. 

  879. <a name="l00780"></a>00780         <span class="keywordtype">double</span> val2=nodeY(getTLNode(elm));
    880. 

  880. <a name="l00781"></a>00781         <span class="keywordtype">double</span> val3=nodeY(getTRNode(elm));
    881. 

  881. <a name="l00782"></a>00782 
    882. 

  882. <a name="l00783"></a>00783         <span class="keywordtype">double</span> retVal=paramGradS(s,t,val0,val1,val2,val3);
    883. 

  883. <a name="l00784"></a>00784 
    884. 

  884. <a name="l00785"></a>00785         <span class="keywordflow">return</span> retVal;
    885. 

  885. <a name="l00786"></a>00786 }
    886. 

  886. <a name="l00787"></a>00787 
    887. 

  887. <a name="l00788"></a>00788 <span class="keywordtype">double</span> cxModel::dYdT(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    888. 

  888. <a name="l00789"></a>00789 {
    889. 

  889. <a name="l00790"></a>00790         <span class="keywordtype">double</span> val0=nodeY(getBLNode(elm));
    890. 

  890. <a name="l00791"></a>00791         <span class="keywordtype">double</span> val1=nodeY(getBRNode(elm));
    891. 

  891. <a name="l00792"></a>00792         <span class="keywordtype">double</span> val2=nodeY(getTLNode(elm));
    892. 

  892. <a name="l00793"></a>00793         <span class="keywordtype">double</span> val3=nodeY(getTRNode(elm));
    893. 

  893. <a name="l00794"></a>00794 
    894. 

  894. <a name="l00795"></a>00795         <span class="keywordtype">double</span> retVal=paramGradT(s,t,val0,val1,val2,val3);
    895. 

  895. <a name="l00796"></a>00796 
    896. 

  896. <a name="l00797"></a>00797         <span class="keywordflow">return</span> retVal;
    897. 

  897. <a name="l00798"></a>00798 }
    898. 

  898. <a name="l00799"></a>00799 
    899. 

  899. <a name="l00800"></a>00800 <span class="keywordtype">double</span> cxModel::jac(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    900. 

  900. <a name="l00801"></a>00801 {
    901. 

  901. <a name="l00802"></a>00802         <span class="keywordtype">double</span> retVal=dXdS(elm,s,t)*dYdT(elm,s,t)-dXdT(elm,s,t)*dYdS(elm,s,t);
    902. 

  902. <a name="l00803"></a>00803 
    903. 

  903. <a name="l00804"></a>00804         <span class="keywordflow">return</span> retVal;
    904. 

  904. <a name="l00805"></a>00805 }
    905. 

  905. <a name="l00806"></a>00806 
    906. 

  906. <a name="l00807"></a>00807 <span class="keywordtype">double</span> cxModel::gradX(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    907. 

  907. <a name="l00808"></a>00808 {
    908. 

  908. <a name="l00809"></a>00809         <span class="keywordtype">double</span> gradS_val=gradS(lclNd,s,t);
    909. 

  909. <a name="l00810"></a>00810         <span class="keywordtype">double</span> gradT_val=gradT(lclNd,s,t);
    910. 

  910. <a name="l00811"></a>00811         <span class="keywordtype">double</span> dXdS_val=dXdS(elm,s,t);
    911. 

  911. <a name="l00812"></a>00812         <span class="keywordtype">double</span> dYdT_val=dYdT(elm,s,t);
    912. 

  912. <a name="l00813"></a>00813         <span class="keywordtype">double</span> dXdT_val=dXdT(elm,s,t);
    913. 

  913. <a name="l00814"></a>00814         <span class="keywordtype">double</span> dYdS_val=dYdS(elm,s,t);
    914. 

  914. <a name="l00815"></a>00815 
    915. 

  915. <a name="l00816"></a>00816         <span class="keywordtype">double</span> retVal=(dYdT_val*gradS_val-dYdS_val*gradT_val)/(dXdS_val*dYdT_val-dXdT_val*dYdS_val);
    916. 

  916. <a name="l00817"></a>00817 
    917. 

  917. <a name="l00818"></a>00818         <span class="keywordflow">return</span> retVal;
    918. 

  918. <a name="l00819"></a>00819 }
    919. 

  919. <a name="l00820"></a>00820 
    920. 

  920. <a name="l00821"></a>00821 <span class="keywordtype">double</span> cxModel::gradY(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> lclNd,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t)
    921. 

  921. <a name="l00822"></a>00822 {
    922. 

  922. <a name="l00823"></a>00823         <span class="keywordtype">double</span> gradS_val=gradS(lclNd,s,t);
    923. 

  923. <a name="l00824"></a>00824         <span class="keywordtype">double</span> gradT_val=gradT(lclNd,s,t);
    924. 

  924. <a name="l00825"></a>00825         <span class="keywordtype">double</span> dXdS_val=dXdS(elm,s,t);
    925. 

  925. <a name="l00826"></a>00826         <span class="keywordtype">double</span> dYdT_val=dYdT(elm,s,t);
    926. 

  926. <a name="l00827"></a>00827         <span class="keywordtype">double</span> dXdT_val=dXdT(elm,s,t);
    927. 

  927. <a name="l00828"></a>00828         <span class="keywordtype">double</span> dYdS_val=dYdS(elm,s,t);
    928. 

  928. <a name="l00829"></a>00829 
    929. 

  929. <a name="l00830"></a>00830         <span class="keywordtype">double</span> retVal=(dXdS_val*gradT_val-dXdT_val*gradS_val)/(dXdS_val*dYdT_val-dXdT_val*dYdS_val);
    930. 

  930. <a name="l00831"></a>00831 
    931. 

  931. <a name="l00832"></a>00832         <span class="keywordflow">return</span> retVal;
    932. 

  932. <a name="l00833"></a>00833 }
    933. 

  933. <a name="l00834"></a>00834 
    934. 

  934. <a name="l00835"></a>00835 <span class="keywordtype">double</span> cxModel::paramGradX(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3)
    935. 

  935. <a name="l00836"></a>00836 {
    936. 

  936. <a name="l00837"></a>00837         <span class="keywordtype">double</span> retVal=gradX(elm,0,s,t)*val0+gradX(elm,1,s,t)*val1+gradX(elm,2,s,t)*val2+gradX(elm,3,s,t)*val3;
    937. 

  937. <a name="l00838"></a>00838 
    938. 

  938. <a name="l00839"></a>00839         <span class="keywordflow">return</span> retVal;
    939. 

  939. <a name="l00840"></a>00840 }
    940. 

  940. <a name="l00841"></a>00841 
    941. 

  941. <a name="l00842"></a>00842 <span class="keywordtype">double</span> cxModel::paramGradY(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">double</span> s,<span class="keywordtype">double</span> t,<span class="keywordtype">double</span> val0, <span class="keywordtype">double</span> val1, <span class="keywordtype">double</span> val2, <span class="keywordtype">double</span> val3)
    942. 

  942. <a name="l00843"></a>00843 {
    943. 

  943. <a name="l00844"></a>00844         <span class="keywordtype">double</span> retVal=gradY(elm,0,s,t)*val0+gradY(elm,1,s,t)*val1+gradY(elm,2,s,t)*val2+gradY(elm,3,s,t)*val3;
    944. 

  944. <a name="l00845"></a>00845 
    945. 

  945. <a name="l00846"></a>00846         <span class="keywordflow">return</span> retVal;
    946. 

  946. <a name="l00847"></a>00847 }
    947. 

  947. <a name="l00848"></a>00848 
    948. 

  948. <a name="l00849"></a>00849 <span class="keyword">template</span>&lt;<span class="keyword">class</span> largeType,<span class="keyword">class</span> smallType&gt; <span class="keywordtype">void</span> cxModel::addMatrix(largeType&amp; lrg,<span class="keyword">const</span> smallType&amp; sml,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<span class="keywordtype">bool</span> explodeRows,<span class="keywordtype">bool</span> explodeCols,<span class="keywordtype">double</span> scl)
    949. 

  949. <a name="l00850"></a>00850 {
    950. 

  950. <a name="l00851"></a>00851         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> r,c;
    951. 

  951. <a name="l00852"></a>00852         sml.matrix&lt;double&gt;::size(r,c);
    952. 

  952. <a name="l00853"></a>00853 
    953. 

  953. <a name="l00854"></a>00854         <span class="keywordflow">if</span>( explodeRows )
    954. 

  954. <a name="l00855"></a>00855         {
    955. 

  955. <a name="l00856"></a>00856                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;3;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    956. 

  956. <a name="l00857"></a>00857                 {
    957. 

  957. <a name="l00858"></a>00858                         <span class="keywordflow">if</span>( explodeCols )
    958. 

  958. <a name="l00859"></a>00859                         {
    959. 

  959. <a name="l00860"></a>00860                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;3;j++)
    960. 

  960. <a name="l00861"></a>00861                                 {
    961. 

  961. <a name="l00862"></a>00862                                         lrg.entry(getBLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBLNode(elm)*3+j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    962. 

  962. <a name="l00863"></a>00863                                         lrg.entry(getBRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBLNode(elm)*3+j)+=scl*sml.entry(3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    963. 

  963. <a name="l00864"></a>00864                                         lrg.entry(getTLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBLNode(elm)*3+j)+=scl*sml.entry(6+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    964. 

  964. <a name="l00865"></a>00865                                         lrg.entry(getTRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBLNode(elm)*3+j)+=scl*sml.entry(9+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    965. 

  965. <a name="l00866"></a>00866 
    966. 

  966. <a name="l00867"></a>00867                                         lrg.entry(getBLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBRNode(elm)*3+j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+3);
    967. 

  967. <a name="l00868"></a>00868                                         lrg.entry(getBRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBRNode(elm)*3+j)+=scl*sml.entry(3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+3);
    968. 

  968. <a name="l00869"></a>00869                                         lrg.entry(getTLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBRNode(elm)*3+j)+=scl*sml.entry(6+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+3);
    969. 

  969. <a name="l00870"></a>00870                                         lrg.entry(getTRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBRNode(elm)*3+j)+=scl*sml.entry(9+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+3);
    970. 

  970. <a name="l00871"></a>00871 
    971. 

  971. <a name="l00872"></a>00872                                         lrg.entry(getBLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTLNode(elm)*3+j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+6);
    972. 

  972. <a name="l00873"></a>00873                                         lrg.entry(getBRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTLNode(elm)*3+j)+=scl*sml.entry(3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+6);
    973. 

  973. <a name="l00874"></a>00874                                         lrg.entry(getTLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTLNode(elm)*3+j)+=scl*sml.entry(6+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+6);
    974. 

  974. <a name="l00875"></a>00875                                         lrg.entry(getTRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTLNode(elm)*3+j)+=scl*sml.entry(9+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+6);
    975. 

  975. <a name="l00876"></a>00876 
    976. 

  976. <a name="l00877"></a>00877                                         lrg.entry(getBLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTRNode(elm)*3+j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+9);
    977. 

  977. <a name="l00878"></a>00878                                         lrg.entry(getBRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTRNode(elm)*3+j)+=scl*sml.entry(3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+9);
    978. 

  978. <a name="l00879"></a>00879                                         lrg.entry(getTLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTRNode(elm)*3+j)+=scl*sml.entry(6+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+9);
    979. 

  979. <a name="l00880"></a>00880                                         lrg.entry(getTRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTRNode(elm)*3+j)+=scl*sml.entry(9+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+9);
    980. 

  980. <a name="l00881"></a>00881                                 }
    981. 

  981. <a name="l00882"></a>00882                         }
    982. 

  982. <a name="l00883"></a>00883                         <span class="keywordflow">else</span>
    983. 

  983. <a name="l00884"></a>00884                         {
    984. 

  984. <a name="l00885"></a>00885                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;c;j++)
    985. 

  985. <a name="l00886"></a>00886                                 {
    986. 

  986. <a name="l00887"></a>00887                                         lrg.entry(getBLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    987. 

  987. <a name="l00888"></a>00888                                         lrg.entry(getBRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)+=scl*sml.entry(3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    988. 

  988. <a name="l00889"></a>00889                                         lrg.entry(getTLNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)+=scl*sml.entry(6+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    989. 

  989. <a name="l00890"></a>00890                                         lrg.entry(getTRNode(elm)*3+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)+=scl*sml.entry(9+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    990. 

  990. <a name="l00891"></a>00891                                 }
    991. 

  991. <a name="l00892"></a>00892                         }
    992. 

  992. <a name="l00893"></a>00893                 }
    993. 

  993. <a name="l00894"></a>00894         }
    994. 

  994. <a name="l00895"></a>00895         <span class="keywordflow">else</span>
    995. 

  995. <a name="l00896"></a>00896         {
    996. 

  996. <a name="l00897"></a>00897                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;r;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    997. 

  997. <a name="l00898"></a>00898                 {
    998. 

  998. <a name="l00899"></a>00899                         <span class="keywordflow">if</span>( explodeCols )
    999. 

  999. <a name="l00900"></a>00900                         {
    1000. 

  1000. <a name="l00901"></a>00901                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;3;j++)
    1001. 

  1001. <a name="l00902"></a>00902                                 {
    1002. 

  1002. <a name="l00903"></a>00903                                         lrg.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBLNode(elm)*3+j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    1003. 

  1003. <a name="l00904"></a>00904                                         lrg.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getBRNode(elm)*3+j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+3);
    1004. 

  1004. <a name="l00905"></a>00905                                         lrg.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTLNode(elm)*3+j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+6);
    1005. 

  1005. <a name="l00906"></a>00906                                         lrg.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,getTRNode(elm)*3+j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j+9);
    1006. 

  1006. <a name="l00907"></a>00907                                 }
    1007. 

  1007. <a name="l00908"></a>00908                         }
    1008. 

  1008. <a name="l00909"></a>00909                         <span class="keywordflow">else</span>
    1009. 

  1009. <a name="l00910"></a>00910                         {
    1010. 

  1010. <a name="l00911"></a>00911                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;c;j++)
    1011. 

  1011. <a name="l00912"></a>00912                                 {
    1012. 

  1012. <a name="l00913"></a>00913                                         lrg.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)+=scl*sml.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    1013. 

  1013. <a name="l00914"></a>00914                                 }
    1014. 

  1014. <a name="l00915"></a>00915                         }
    1015. 

  1015. <a name="l00916"></a>00916                 }
    1016. 

  1016. <a name="l00917"></a>00917         }
    1017. 

  1017. <a name="l00918"></a>00918 }
    1018. 

  1018. <a name="l00919"></a>00919 
    1019. 

  1019. <a name="l00920"></a>00920 <span class="keyword">template</span>&lt;<span class="keyword">class</span> retType&gt; retType cxModel::integrate(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm,<a class="code" href="classkernel.html">kernel&lt;retType&gt;</a>&amp; krnl)
    1020. 

  1020. <a name="l00921"></a>00921 {
    1021. 

  1021. <a name="l00922"></a>00922         <span class="keywordtype">double</span> s,<a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>;
    1022. 

  1022. <a name="l00923"></a>00923 
    1023. 

  1023. <a name="l00924"></a>00924         s=-1.0/sqrt(3.0);
    1024. 

  1024. <a name="l00925"></a>00925         t=-1.0/sqrt(3.0);
    1025. 

  1025. <a name="l00926"></a>00926         retType retVal=krnl.<a class="code" href="classkernel.html#a344dcefc15db36a8b90292676b22aef4">value</a>(xVal(elm,s,t),yVal(elm,s,t),shape(0,s,t),shape(1,s,t),shape(2,s,t),shape(3,s,t),gradX(elm,0,s,t),gradY(elm,0,s,t),gradX(elm,1,s,t),gradY(elm,1,s,t),gradX(elm,2,s,t),gradY(elm,2,s,t),gradX(elm,3,s,t),gradY(elm,3,s,t))*jac(elm,s,t);
    1026. 

  1026. <a name="l00927"></a>00927         s=1.0/sqrt(3.0);
    1027. 

  1027. <a name="l00928"></a>00928         t=-1.0/sqrt(3.0);
    1028. 

  1028. <a name="l00929"></a>00929         retVal+=krnl.<a class="code" href="classkernel.html#a344dcefc15db36a8b90292676b22aef4">value</a>(xVal(elm,s,t),yVal(elm,s,t),shape(0,s,t),shape(1,s,t),shape(2,s,t),shape(3,s,t),gradX(elm,0,s,t),gradY(elm,0,s,t),gradX(elm,1,s,t),gradY(elm,1,s,t),gradX(elm,2,s,t),gradY(elm,2,s,t),gradX(elm,3,s,t),gradY(elm,3,s,t))*jac(elm,s,t);
    1029. 

  1029. <a name="l00930"></a>00930         s=-1.0/sqrt(3.0);
    1030. 

  1030. <a name="l00931"></a>00931         t=1.0/sqrt(3.0);
    1031. 

  1031. <a name="l00932"></a>00932         retVal+=krnl.<a class="code" href="classkernel.html#a344dcefc15db36a8b90292676b22aef4">value</a>(xVal(elm,s,t),yVal(elm,s,t),shape(0,s,t),shape(1,s,t),shape(2,s,t),shape(3,s,t),gradX(elm,0,s,t),gradY(elm,0,s,t),gradX(elm,1,s,t),gradY(elm,1,s,t),gradX(elm,2,s,t),gradY(elm,2,s,t),gradX(elm,3,s,t),gradY(elm,3,s,t))*jac(elm,s,t);
    1032. 

  1032. <a name="l00933"></a>00933         s=1.0/sqrt(3.0);
    1033. 

  1033. <a name="l00934"></a>00934         t=1.0/sqrt(3.0);
    1034. 

  1034. <a name="l00935"></a>00935         retVal+=krnl.<a class="code" href="classkernel.html#a344dcefc15db36a8b90292676b22aef4">value</a>(xVal(elm,s,t),yVal(elm,s,t),shape(0,s,t),shape(1,s,t),shape(2,s,t),shape(3,s,t),gradX(elm,0,s,t),gradY(elm,0,s,t),gradX(elm,1,s,t),gradY(elm,1,s,t),gradX(elm,2,s,t),gradY(elm,2,s,t),gradX(elm,3,s,t),gradY(elm,3,s,t))*jac(elm,s,t);
    1035. 

  1035. <a name="l00936"></a>00936 
    1036. 

  1036. <a name="l00937"></a>00937         <span class="keywordflow">return</span> retVal;
    1037. 

  1037. <a name="l00938"></a>00938 }
    1038. 

  1038. <a name="l00939"></a>00939 
    1039. 

  1039. <a name="l00940"></a>00940 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="classcxModel.html#aad4472e199ba3fb3af07b759c90c6ddf">cxModel::getPsi</a>()
    1040. 

  1040. <a name="l00941"></a>00941 {
    1041. 

  1041. <a name="l00942"></a>00942         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(this-&gt;dofCnt(),4);
    1042. 

  1042. <a name="l00943"></a>00943 
    1043. 

  1043. <a name="l00944"></a>00944         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1044. 

  1044. <a name="l00945"></a>00945         {
    1045. 

  1045. <a name="l00946"></a>00946                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    1046. 

  1046. <a name="l00947"></a>00947                 {
    1047. 

  1047. <a name="l00948"></a>00948                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1048. 

  1048. <a name="l00949"></a>00949                 }
    1049. 

  1049. <a name="l00950"></a>00950         }
    1050. 

  1050. <a name="l00951"></a>00951 
    1051. 

  1051. <a name="l00952"></a>00952         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;ndCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1052. 

  1052. <a name="l00953"></a>00953         {
    1053. 

  1053. <a name="l00954"></a>00954                 retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>*3+0,0)=1.0;
    1054. 

  1054. <a name="l00955"></a>00955                 retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>*3+1,1)=1.0;
    1055. 

  1055. <a name="l00956"></a>00956                 retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>*3+2,2)=1.0;
    1056. 

  1056. <a name="l00957"></a>00957                 retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>*3+1,3)=-nodeY(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>);
    1057. 

  1057. <a name="l00958"></a>00958                 retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>*3+2,3)=nodeX(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>);
    1058. 

  1058. <a name="l00959"></a>00959         }
    1059. 

  1059. <a name="l00960"></a>00960 
    1060. 

  1060. <a name="l00961"></a>00961         <span class="keywordflow">return</span> retVal;
    1061. 

  1061. <a name="l00962"></a>00962 }
    1062. 

  1062. <a name="l00963"></a>00963 
    1063. 

  1063. <a name="l00964"></a>00964 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="classcxModel.html#a4d56b8037b8d1be03da75ca27bb62175">cxModel::getE</a>()
    1064. 

  1064. <a name="l00965"></a>00965 {
    1065. 

  1065. <a name="l00966"></a>00966         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> retVal(this-&gt;dofCnt());
    1066. 

  1066. <a name="l00967"></a>00967 
    1067. 

  1067. <a name="l00968"></a>00968         <a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a> gammaA;
    1068. 

  1068. <a name="l00969"></a>00969         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_squareMatrix,type_matrix,type_matrix&gt;</a> krnl(gammaA,gammaA);
    1069. 

  1069. <a name="l00970"></a>00970 
    1070. 

  1070. <a name="l00971"></a>00971         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1071. 

  1071. <a name="l00972"></a>00972         {
    1072. 

  1072. <a name="l00973"></a>00973                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;this-&gt;dofCnt();j++)
    1073. 

  1073. <a name="l00974"></a>00974                 {
    1074. 

  1074. <a name="l00975"></a>00975                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1075. 

  1075. <a name="l00976"></a>00976                 }
    1076. 

  1076. <a name="l00977"></a>00977         }
    1077. 

  1077. <a name="l00978"></a>00978 
    1078. 

  1078. <a name="l00979"></a>00979         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1079. 

  1079. <a name="l00980"></a>00980                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">true</span>,1.0);
    1080. 

  1080. <a name="l00981"></a>00981 
    1081. 

  1081. <a name="l00982"></a>00982         <span class="keywordflow">return</span> retVal;
    1082. 

  1082. <a name="l00983"></a>00983 }
    1083. 

  1083. <a name="l00984"></a>00984 
    1084. 

  1084. <a name="l00985"></a><a class="code" href="classcxModel.html#ab64623713132cf369f75dbf2353301cb">00985</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="classcxModel.html#ab64623713132cf369f75dbf2353301cb">cxModel::getH</a>()
    1085. 

  1085. <a name="l00986"></a>00986 {
    1086. 

  1086. <a name="l00987"></a>00987         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> retVal(this-&gt;dofCnt());
    1087. 

  1087. <a name="l00988"></a>00988 
    1088. 

  1088. <a name="l00989"></a>00989         <a class="code" href="classkernel__shape.html">kernel_shape</a> shapeKrnl;
    1089. 

  1089. <a name="l00990"></a>00990         <a class="code" href="classkernel__dyad.html">kernel_dyad</a> krnl(shapeKrnl);
    1090. 

  1090. <a name="l00991"></a>00991 
    1091. 

  1091. <a name="l00992"></a>00992         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1092. 

  1092. <a name="l00993"></a>00993         {
    1093. 

  1093. <a name="l00994"></a>00994                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;this-&gt;dofCnt();j++)
    1094. 

  1094. <a name="l00995"></a>00995                 {
    1095. 

  1095. <a name="l00996"></a>00996                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1096. 

  1096. <a name="l00997"></a>00997                 }
    1097. 

  1097. <a name="l00998"></a>00998         }
    1098. 

  1098. <a name="l00999"></a>00999 
    1099. 

  1099. <a name="l01000"></a>01000         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1100. 

  1100. <a name="l01001"></a>01001                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">true</span>,1.0);
    1101. 

  1101. <a name="l01002"></a>01002 
    1102. 

  1102. <a name="l01003"></a>01003         <span class="keywordflow">return</span> retVal;
    1103. 

  1103. <a name="l01004"></a>01004 }
    1104. 

  1104. <a name="l01005"></a>01005 
    1105. 

  1105. <a name="l01006"></a>01006 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="classcxModel.html#ada3c92ee1eed94f4390835e990f22731">cxModel::getDee</a>()
    1106. 

  1106. <a name="l01007"></a>01007 {
    1107. 

  1107. <a name="l01008"></a>01008         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> retVal(4);
    1108. 

  1108. <a name="l01009"></a>01009 
    1109. 

  1109. <a name="l01010"></a>01010         <a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a> gammaE;
    1110. 

  1110. <a name="l01011"></a>01011         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_squareMatrix,type_matrix,type_matrix&gt;</a> krnl(gammaE,gammaE);
    1111. 

  1111. <a name="l01012"></a>01012 
    1112. 

  1112. <a name="l01013"></a>01013         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;4;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1113. 

  1113. <a name="l01014"></a>01014         {
    1114. 

  1114. <a name="l01015"></a>01015                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    1115. 

  1115. <a name="l01016"></a>01016                 {
    1116. 

  1116. <a name="l01017"></a>01017                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1117. 

  1117. <a name="l01018"></a>01018                 }
    1118. 

  1118. <a name="l01019"></a>01019         }
    1119. 

  1119. <a name="l01020"></a>01020 
    1120. 

  1120. <a name="l01021"></a>01021         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1121. 

  1121. <a name="l01022"></a>01022                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">false</span>,<span class="keyword">false</span>,1.0);
    1122. 

  1122. <a name="l01023"></a>01023 
    1123. 

  1123. <a name="l01024"></a>01024         <span class="keywordflow">return</span> retVal;
    1124. 

  1124. <a name="l01025"></a>01025 }
    1125. 

  1125. <a name="l01026"></a>01026 
    1126. 

  1126. <a name="l01027"></a>01027 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="classcxModel.html#aa2fa536e17099ff234cb4095f64511e2">cxModel::getDae</a>()
    1127. 

  1127. <a name="l01028"></a>01028 {
    1128. 

  1128. <a name="l01029"></a>01029         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(this-&gt;dofCnt(),4);
    1129. 

  1129. <a name="l01030"></a>01030 
    1130. 

  1130. <a name="l01031"></a>01031         <a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a> gammaA;
    1131. 

  1131. <a name="l01032"></a>01032         <a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a> gammaE;
    1132. 

  1132. <a name="l01033"></a>01033         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_matrix,type_matrix,type_matrix&gt;</a> krnl(gammaA,gammaE);
    1133. 

  1133. <a name="l01034"></a>01034 
    1134. 

  1134. <a name="l01035"></a>01035         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1135. 

  1135. <a name="l01036"></a>01036         {
    1136. 

  1136. <a name="l01037"></a>01037                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    1137. 

  1137. <a name="l01038"></a>01038                 {
    1138. 

  1138. <a name="l01039"></a>01039                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1139. 

  1139. <a name="l01040"></a>01040                 }
    1140. 

  1140. <a name="l01041"></a>01041         }
    1141. 

  1141. <a name="l01042"></a>01042 
    1142. 

  1142. <a name="l01043"></a>01043         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1143. 

  1143. <a name="l01044"></a>01044                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">false</span>,1.0);
    1144. 

  1144. <a name="l01045"></a>01045 
    1145. 

  1145. <a name="l01046"></a>01046         <span class="keywordflow">return</span> retVal;
    1146. 

  1146. <a name="l01047"></a>01047 }
    1147. 

  1147. <a name="l01048"></a>01048 
    1148. 

  1148. <a name="l01049"></a>01049 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="classcxModel.html#a8d98c0688518c0e6d6a15da5fd4bb047">cxModel::getDar</a>()
    1149. 

  1149. <a name="l01050"></a>01050 {
    1150. 

  1150. <a name="l01051"></a>01051         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> retVal(this-&gt;dofCnt());
    1151. 

  1151. <a name="l01052"></a>01052 
    1152. 

  1152. <a name="l01053"></a>01053         <a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a> gammaA;
    1153. 

  1153. <a name="l01054"></a>01054         <a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a> gammaR;
    1154. 

  1154. <a name="l01055"></a>01055         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_squareMatrix,type_matrix,type_matrix&gt;</a> krnl(gammaA,gammaR);
    1155. 

  1155. <a name="l01056"></a>01056 
    1156. 

  1156. <a name="l01057"></a>01057         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1157. 

  1157. <a name="l01058"></a>01058         {
    1158. 

  1158. <a name="l01059"></a>01059                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;this-&gt;dofCnt();j++)
    1159. 

  1159. <a name="l01060"></a>01060                 {
    1160. 

  1160. <a name="l01061"></a>01061                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1161. 

  1161. <a name="l01062"></a>01062                 }
    1162. 

  1162. <a name="l01063"></a>01063         }
    1163. 

  1163. <a name="l01064"></a>01064 
    1164. 

  1164. <a name="l01065"></a>01065         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1165. 

  1165. <a name="l01066"></a>01066                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">true</span>,1.0);
    1166. 

  1166. <a name="l01067"></a>01067 
    1167. 

  1167. <a name="l01068"></a>01068         <span class="keywordflow">return</span> retVal;
    1168. 

  1168. <a name="l01069"></a>01069 }
    1169. 

  1169. <a name="l01070"></a>01070 
    1170. 

  1170. <a name="l01071"></a>01071 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="classcxModel.html#a3dd6523d642e6ba31d83f6386034deb2">cxModel::getDre</a>()
    1171. 

  1171. <a name="l01072"></a>01072 {
    1172. 

  1172. <a name="l01073"></a>01073         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(this-&gt;dofCnt(),4);
    1173. 

  1173. <a name="l01074"></a>01074 
    1174. 

  1174. <a name="l01075"></a>01075         <a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a> gammaR;
    1175. 

  1175. <a name="l01076"></a>01076         <a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a> gammaE;
    1176. 

  1176. <a name="l01077"></a>01077         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_matrix,type_matrix,type_matrix&gt;</a> krnl(gammaR,gammaE);
    1177. 

  1177. <a name="l01078"></a>01078 
    1178. 

  1178. <a name="l01079"></a>01079         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1179. 

  1179. <a name="l01080"></a>01080         {
    1180. 

  1180. <a name="l01081"></a>01081                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    1181. 

  1181. <a name="l01082"></a>01082                 {
    1182. 

  1182. <a name="l01083"></a>01083                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1183. 

  1183. <a name="l01084"></a>01084                 }
    1184. 

  1184. <a name="l01085"></a>01085         }
    1185. 

  1185. <a name="l01086"></a>01086 
    1186. 

  1186. <a name="l01087"></a>01087         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1187. 

  1187. <a name="l01088"></a>01088                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">false</span>,1.0);
    1188. 

  1188. <a name="l01089"></a>01089 
    1189. 

  1189. <a name="l01090"></a>01090         <span class="keywordflow">return</span> retVal;
    1190. 

  1190. <a name="l01091"></a>01091 }
    1191. 

  1191. <a name="l01092"></a>01092 
    1192. 

  1192. <a name="l01093"></a>01093 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="classcxModel.html#a94ef1aa82a7d67290541f54c9517700d">cxModel::getDal</a>()
    1193. 

  1193. <a name="l01094"></a>01094 {
    1194. 

  1194. <a name="l01095"></a>01095         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> retVal(this-&gt;dofCnt());
    1195. 

  1195. <a name="l01096"></a>01096 
    1196. 

  1196. <a name="l01097"></a>01097         <a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a> gammaA;
    1197. 

  1197. <a name="l01098"></a>01098         <a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a> gammaL;
    1198. 

  1198. <a name="l01099"></a>01099         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_squareMatrix,type_matrix,type_matrix&gt;</a> krnl(gammaA,gammaL);
    1199. 

  1199. <a name="l01100"></a>01100 
    1200. 

  1200. <a name="l01101"></a>01101         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1201. 

  1201. <a name="l01102"></a>01102         {
    1202. 

  1202. <a name="l01103"></a>01103                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;this-&gt;dofCnt();j++)
    1203. 

  1203. <a name="l01104"></a>01104                 {
    1204. 

  1204. <a name="l01105"></a>01105                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1205. 

  1205. <a name="l01106"></a>01106                 }
    1206. 

  1206. <a name="l01107"></a>01107         }
    1207. 

  1207. <a name="l01108"></a>01108 
    1208. 

  1208. <a name="l01109"></a>01109         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1209. 

  1209. <a name="l01110"></a>01110                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">true</span>,1.0);
    1210. 

  1210. <a name="l01111"></a>01111 
    1211. 

  1211. <a name="l01112"></a>01112         <span class="keywordflow">return</span> retVal;
    1212. 

  1212. <a name="l01113"></a>01113 }
    1213. 

  1213. <a name="l01114"></a>01114 
    1214. 

  1214. <a name="l01115"></a>01115 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="classcxModel.html#afb882882f9cea6d4b4ed034f66fe2026">cxModel::getDle</a>()
    1215. 

  1215. <a name="l01116"></a>01116 {
    1216. 

  1216. <a name="l01117"></a>01117         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(this-&gt;dofCnt(),4);
    1217. 

  1217. <a name="l01118"></a>01118 
    1218. 

  1218. <a name="l01119"></a>01119         <a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a> gammaL;
    1219. 

  1219. <a name="l01120"></a>01120         <a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a> gammaE;
    1220. 

  1220. <a name="l01121"></a>01121         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_matrix,type_matrix,type_matrix&gt;</a> krnl(gammaL,gammaE);
    1221. 

  1221. <a name="l01122"></a>01122 
    1222. 

  1222. <a name="l01123"></a>01123         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1223. 

  1223. <a name="l01124"></a>01124         {
    1224. 

  1224. <a name="l01125"></a>01125                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    1225. 

  1225. <a name="l01126"></a>01126                 {
    1226. 

  1226. <a name="l01127"></a>01127                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1227. 

  1227. <a name="l01128"></a>01128                 }
    1228. 

  1228. <a name="l01129"></a>01129         }
    1229. 

  1229. <a name="l01130"></a>01130 
    1230. 

  1230. <a name="l01131"></a>01131         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1231. 

  1231. <a name="l01132"></a>01132                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">false</span>,1.0);
    1232. 

  1232. <a name="l01133"></a>01133 
    1233. 

  1233. <a name="l01134"></a>01134         <span class="keywordflow">return</span> retVal;
    1234. 

  1234. <a name="l01135"></a>01135 }
    1235. 

  1235. <a name="l01136"></a>01136 
    1236. 

  1236. <a name="l01137"></a>01137 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="classcxModel.html#ade68efdb530bee1c2a182b85fe13b3fc">cxModel::getDrr</a>()
    1237. 

  1237. <a name="l01138"></a>01138 {
    1238. 

  1238. <a name="l01139"></a>01139         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> retVal(this-&gt;dofCnt());
    1239. 

  1239. <a name="l01140"></a>01140 
    1240. 

  1240. <a name="l01141"></a>01141         <a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a> gammaR;
    1241. 

  1241. <a name="l01142"></a>01142         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_squareMatrix,type_matrix,type_matrix&gt;</a> krnl(gammaR,gammaR);
    1242. 

  1242. <a name="l01143"></a>01143 
    1243. 

  1243. <a name="l01144"></a>01144         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1244. 

  1244. <a name="l01145"></a>01145         {
    1245. 

  1245. <a name="l01146"></a>01146                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;this-&gt;dofCnt();j++)
    1246. 

  1246. <a name="l01147"></a>01147                 {
    1247. 

  1247. <a name="l01148"></a>01148                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1248. 

  1248. <a name="l01149"></a>01149                 }
    1249. 

  1249. <a name="l01150"></a>01150         }
    1250. 

  1250. <a name="l01151"></a>01151 
    1251. 

  1251. <a name="l01152"></a>01152         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1252. 

  1252. <a name="l01153"></a>01153                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">true</span>,1.0);
    1253. 

  1253. <a name="l01154"></a>01154 
    1254. 

  1254. <a name="l01155"></a>01155         <span class="keywordflow">return</span> retVal;
    1255. 

  1255. <a name="l01156"></a>01156 }
    1256. 

  1256. <a name="l01157"></a>01157 
    1257. 

  1257. <a name="l01158"></a>01158 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="classcxModel.html#ae8b403f0a6ac5dcdc023c32f7015cb3b">cxModel::getDll</a>()
    1258. 

  1258. <a name="l01159"></a>01159 {
    1259. 

  1259. <a name="l01160"></a>01160         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> retVal(this-&gt;dofCnt());
    1260. 

  1260. <a name="l01161"></a>01161 
    1261. 

  1261. <a name="l01162"></a>01162         <a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a> gammaL;
    1262. 

  1262. <a name="l01163"></a>01163         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_squareMatrix,type_matrix,type_matrix&gt;</a> krnl(gammaL,gammaL);
    1263. 

  1263. <a name="l01164"></a>01164 
    1264. 

  1264. <a name="l01165"></a>01165         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1265. 

  1265. <a name="l01166"></a>01166         {
    1266. 

  1266. <a name="l01167"></a>01167                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;this-&gt;dofCnt();j++)
    1267. 

  1267. <a name="l01168"></a>01168                 {
    1268. 

  1268. <a name="l01169"></a>01169                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1269. 

  1269. <a name="l01170"></a>01170                 }
    1270. 

  1270. <a name="l01171"></a>01171         }
    1271. 

  1271. <a name="l01172"></a>01172 
    1272. 

  1272. <a name="l01173"></a>01173         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1273. 

  1273. <a name="l01174"></a>01174                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">true</span>,1.0);
    1274. 

  1274. <a name="l01175"></a>01175 
    1275. 

  1275. <a name="l01176"></a>01176         <span class="keywordflow">return</span> retVal;
    1276. 

  1276. <a name="l01177"></a>01177 }
    1277. 

  1277. <a name="l01178"></a>01178 
    1278. 

  1278. <a name="l01179"></a>01179 <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="classcxModel.html#acd5a99a81613b3536b35871ed571d75a">cxModel::getDrl</a>()
    1279. 

  1279. <a name="l01180"></a>01180 {
    1280. 

  1280. <a name="l01181"></a>01181         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> retVal(this-&gt;dofCnt());
    1281. 

  1281. <a name="l01182"></a>01182 
    1282. 

  1282. <a name="l01183"></a>01183         <a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a> gammaR;
    1283. 

  1283. <a name="l01184"></a>01184         <a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a> gammaL;
    1284. 

  1284. <a name="l01185"></a>01185         <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma&lt;type_squareMatrix,type_matrix,type_matrix&gt;</a> krnl(gammaR,gammaL);
    1285. 

  1285. <a name="l01186"></a>01186 
    1286. 

  1286. <a name="l01187"></a>01187         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1287. 

  1287. <a name="l01188"></a>01188         {
    1288. 

  1288. <a name="l01189"></a>01189                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;this-&gt;dofCnt();j++)
    1289. 

  1289. <a name="l01190"></a>01190                 {
    1290. 

  1290. <a name="l01191"></a>01191                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1291. 

  1291. <a name="l01192"></a>01192                 }
    1292. 

  1292. <a name="l01193"></a>01193         }
    1293. 

  1293. <a name="l01194"></a>01194 
    1294. 

  1294. <a name="l01195"></a>01195         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1295. 

  1295. <a name="l01196"></a>01196                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">true</span>,1.0);
    1296. 

  1296. <a name="l01197"></a>01197 
    1297. 

  1297. <a name="l01198"></a>01198         <span class="keywordflow">return</span> retVal;
    1298. 

  1298. <a name="l01199"></a>01199 }
    1299. 

  1299. <a name="l01200"></a>01200 
    1300. 

  1300. <a name="l01201"></a>01201 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="classcxModel.html#a7288e0a8f2bb4750b2b3e650d148a037">cxModel::getDc</a>()
    1301. 

  1301. <a name="l01202"></a>01202 {
    1302. 

  1302. <a name="l01203"></a>01203         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(this-&gt;dofCnt(),4);
    1303. 

  1303. <a name="l01204"></a>01204 
    1304. 

  1304. <a name="l01205"></a>01205         <a class="code" href="classkernel__Dc.html">kernel_Dc</a> krnl;
    1305. 

  1305. <a name="l01206"></a>01206 
    1306. 

  1306. <a name="l01207"></a>01207         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;this-&gt;dofCnt();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1307. 

  1307. <a name="l01208"></a>01208         {
    1308. 

  1308. <a name="l01209"></a>01209                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    1309. 

  1309. <a name="l01210"></a>01210                 {
    1310. 

  1310. <a name="l01211"></a>01211                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1311. 

  1311. <a name="l01212"></a>01212                 }
    1312. 

  1312. <a name="l01213"></a>01213         }
    1313. 

  1313. <a name="l01214"></a>01214 
    1314. 

  1314. <a name="l01215"></a>01215         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elm=0;elm&lt;this-&gt;getElmCnt();elm++)
    1315. 

  1315. <a name="l01216"></a>01216                 addMatrix(retVal,integrate(elm,krnl),elm,<span class="keyword">true</span>,<span class="keyword">false</span>,1.0);
    1316. 

  1316. <a name="l01217"></a>01217 
    1317. 

  1317. <a name="l01218"></a>01218         <span class="keywordflow">return</span> retVal;
    1318. 

  1318. <a name="l01219"></a>01219 }
    1319. 

  1319. <a name="l01220"></a>01220 
    1320. 

  1320. <a name="l01221"></a><a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">01221</a> <a class="code" href="classcxModel.html">cxModel</a> <a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>;
    1321. 

  1321. <a name="l01222"></a>01222 
    1322. 

  1322. <a name="l01223"></a>01223 <span class="comment">// This is the data for the vabs calculations... it is global however it should all become members of a class so this should affect the implementation.</span>
    1323. 

  1323. <a name="l01224"></a>01224 
    1324. 

  1324. <a name="l01225"></a>01225 <span class="comment">// things used for every thing</span>
    1325. 

  1325. <a name="l01226"></a><a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">01226</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>;
    1326. 

  1326. <a name="l01227"></a><a class="code" href="timoshenko_8cpp.html#a5a56a5b7f3180db41b25d154f2da773a">01227</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a5a56a5b7f3180db41b25d154f2da773a">E</a>;
    1327. 

  1327. <a name="l01228"></a><a class="code" href="timoshenko_8cpp.html#a61e26f9dc99fba49f7fadb4c55cad0d9">01228</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a61e26f9dc99fba49f7fadb4c55cad0d9">H</a>;
    1328. 

  1328. <a name="l01229"></a><a class="code" href="timoshenko_8cpp.html#aa0f213d5eeb85b3efd937aa06d2e4cd0">01229</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#aa0f213d5eeb85b3efd937aa06d2e4cd0">Dee</a>;
    1329. 

  1329. <a name="l01230"></a><a class="code" href="timoshenko_8cpp.html#a57ce364b18d0e78717aa34455ad9b927">01230</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a57ce364b18d0e78717aa34455ad9b927">Dae</a>;
    1330. 

  1330. <a name="l01231"></a><a class="code" href="timoshenko_8cpp.html#aa3aa169a6426c8a525120992cfdc24d0">01231</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#aa3aa169a6426c8a525120992cfdc24d0">Dar</a>;
    1331. 

  1331. <a name="l01232"></a><a class="code" href="timoshenko_8cpp.html#a00497b204b46d65857a12425167b8e69">01232</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a00497b204b46d65857a12425167b8e69">Dre</a>;
    1332. 

  1332. <a name="l01233"></a><a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">01233</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>;
    1333. 

  1333. <a name="l01234"></a><a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">01234</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>;
    1334. 

  1334. <a name="l01235"></a><a class="code" href="timoshenko_8cpp.html#a8811e34b0658e8be58029c728afdc26d">01235</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a8811e34b0658e8be58029c728afdc26d">Drr</a>;
    1335. 

  1335. <a name="l01236"></a><a class="code" href="timoshenko_8cpp.html#a84c12d6f670acdf07311f85f71c281cb">01236</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a84c12d6f670acdf07311f85f71c281cb">Dll</a>;
    1336. 

  1336. <a name="l01237"></a><a class="code" href="timoshenko_8cpp.html#a382df93203eda8f5d3d7cadcce4b7900">01237</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a382df93203eda8f5d3d7cadcce4b7900">Drl</a>;
    1337. 

  1337. <a name="l01238"></a><a class="code" href="timoshenko_8cpp.html#a95d8388cb35b6302b596440dfb076330">01238</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a95d8388cb35b6302b596440dfb076330">Dc</a>;
    1338. 

  1338. <a name="l01239"></a><a class="code" href="timoshenko_8cpp.html#a413d8f25f8a2a8d8908744b81c619ead">01239</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a413d8f25f8a2a8d8908744b81c619ead">DcTPsi_inverse</a>;
    1339. 

  1339. <a name="l01240"></a><a class="code" href="timoshenko_8cpp.html#ab8d0d14f89c56d73dc22d85560b8670d">01240</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#ab8d0d14f89c56d73dc22d85560b8670d">PsiTDc_inverse</a>;
    1340. 

  1340. <a name="l01241"></a><a class="code" href="timoshenko_8cpp.html#a491397dd6423a65c6ec1a79d1b284311">01241</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a491397dd6423a65c6ec1a79d1b284311">E_nonSingular</a>;
    1341. 

  1341. <a name="l01242"></a><a class="code" href="timoshenko_8cpp.html#a8a13241405abac2c1c971fe9cf1cf6ac">01242</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a8a13241405abac2c1c971fe9cf1cf6ac">lambda</a>;
    1342. 

  1342. <a name="l01243"></a>01243 
    1343. 

  1343. <a name="l01244"></a>01244 <span class="comment">// first warping solution</span>
    1344. 

  1344. <a name="l01245"></a><a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">01245</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>;
    1345. 

  1345. <a name="l01246"></a><a class="code" href="timoshenko_8cpp.html#a7020c7b9e96e4aa0057eb33ee051eeda">01246</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a7020c7b9e96e4aa0057eb33ee051eeda">K1</a>;
    1346. 

  1346. <a name="l01247"></a>01247 
    1347. 

  1347. <a name="l01248"></a>01248 <span class="comment">// second warping solution</span>
    1348. 

  1348. <a name="l01249"></a><a class="code" href="timoshenko_8cpp.html#a3f3afa6499529da46bbbc18e1d1472f6">01249</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a3f3afa6499529da46bbbc18e1d1472f6">V1R</a>;
    1349. 

  1349. <a name="l01250"></a><a class="code" href="timoshenko_8cpp.html#a3643a3f9e1e609449a181ff4627f8052">01250</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a3643a3f9e1e609449a181ff4627f8052">V1S</a>;
    1350. 

  1350. <a name="l01251"></a><a class="code" href="timoshenko_8cpp.html#a306770b52af1c7e60056633690a88abd">01251</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a306770b52af1c7e60056633690a88abd">V1L</a>;
    1351. 

  1351. <a name="l01252"></a>01252 
    1352. 

  1352. <a name="l01253"></a>01253 <span class="comment">// second order constitutive</span>
    1353. 

  1353. <a name="l01254"></a><a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">01254</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>;
    1354. 

  1354. <a name="l01255"></a><a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">01255</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>;
    1355. 

  1355. <a name="l01256"></a><a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">01256</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>;
    1356. 

  1356. <a name="l01257"></a><a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">01257</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>;
    1357. 

  1357. <a name="l01258"></a>01258 
    1358. 

  1358. <a name="l01259"></a>01259 <span class="comment">// timoshenko </span>
    1359. 

  1359. <a name="l01260"></a><a class="code" href="timoshenko_8cpp.html#a838a996015778bc0a1cd42951d343f39">01260</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a838a996015778bc0a1cd42951d343f39">XSoln</a>;
    1360. 

  1360. <a name="l01261"></a><a class="code" href="timoshenko_8cpp.html#a7e5e4e7714d5989985d85f0ae383b9df">01261</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a7e5e4e7714d5989985d85f0ae383b9df">YSoln</a>;
    1361. 

  1361. <a name="l01262"></a><a class="code" href="timoshenko_8cpp.html#ab3d457ebe89f1bbd370a529bbab0e9bc">01262</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#ab3d457ebe89f1bbd370a529bbab0e9bc">GSoln</a>;
    1362. 

  1362. <a name="l01263"></a><a class="code" href="timoshenko_8cpp.html#a6ef54be9ea5b0617c64f365a21e87ba7">01263</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#a6ef54be9ea5b0617c64f365a21e87ba7">Fe</a>;
    1363. 

  1363. <a name="l01264"></a><a class="code" href="timoshenko_8cpp.html#ad23728669aaba2679dfbd6ba9713b997">01264</a> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> <a class="code" href="timoshenko_8cpp.html#ad23728669aaba2679dfbd6ba9713b997">Fe_prime</a>;
    1364. 

  1364. <a name="l01265"></a>01265 
    1365. 

  1365. <a name="l01266"></a>01266 <span class="comment">// These are functions that outline the major steps in the vabs process</span>
    1366. 

  1366. <a name="l01267"></a>01267 
    1367. 

  1367. <a name="l01268"></a><a class="code" href="timoshenko_8cpp.html#a858c3bcdde49062e37eb091ec5fd0903">01268</a> <span class="keywordtype">void</span> <a class="code" href="timoshenko_8cpp.html#a858c3bcdde49062e37eb091ec5fd0903">buildModel</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz_in=3)
    1368. 

  1368. <a name="l01269"></a>01269 {
    1369. 

  1369. <a name="l01270"></a>01270         <a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#a2279f156699d428f83ee1eeb25ed79d3">resize</a>(sz_in);
    1370. 

  1370. <a name="l01271"></a>01271 }
    1371. 

  1371. <a name="l01272"></a>01272 
    1372. 

  1372. <a name="l01273"></a><a class="code" href="timoshenko_8cpp.html#aed382645bcc4f3f48b417906879fcefd">01273</a> <span class="keywordtype">void</span> <a class="code" href="timoshenko_8cpp.html#aed382645bcc4f3f48b417906879fcefd">buildCommon</a>()
    1373. 

  1373. <a name="l01274"></a>01274 {
    1374. 

  1374. <a name="l01275"></a>01275         <a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#aad4472e199ba3fb3af07b759c90c6ddf">getPsi</a>();
    1375. 

  1375. <a name="l01276"></a>01276         <a class="code" href="timoshenko_8cpp.html#a5a56a5b7f3180db41b25d154f2da773a">E</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#a4d56b8037b8d1be03da75ca27bb62175">getE</a>();
    1376. 

  1376. <a name="l01277"></a>01277         <a class="code" href="timoshenko_8cpp.html#a61e26f9dc99fba49f7fadb4c55cad0d9">H</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#ab64623713132cf369f75dbf2353301cb">getH</a>();
    1377. 

  1377. <a name="l01278"></a>01278         <a class="code" href="timoshenko_8cpp.html#aa0f213d5eeb85b3efd937aa06d2e4cd0">Dee</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#ada3c92ee1eed94f4390835e990f22731">getDee</a>();
    1378. 

  1378. <a name="l01279"></a>01279         <a class="code" href="timoshenko_8cpp.html#a57ce364b18d0e78717aa34455ad9b927">Dae</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#aa2fa536e17099ff234cb4095f64511e2">getDae</a>();
    1379. 

  1379. <a name="l01280"></a>01280         <a class="code" href="timoshenko_8cpp.html#aa3aa169a6426c8a525120992cfdc24d0">Dar</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#a8d98c0688518c0e6d6a15da5fd4bb047">getDar</a>();
    1380. 

  1380. <a name="l01281"></a>01281         <a class="code" href="timoshenko_8cpp.html#a00497b204b46d65857a12425167b8e69">Dre</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#a3dd6523d642e6ba31d83f6386034deb2">getDre</a>();
    1381. 

  1381. <a name="l01282"></a>01282         <a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#a94ef1aa82a7d67290541f54c9517700d">getDal</a>();
    1382. 

  1382. <a name="l01283"></a>01283         <a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#afb882882f9cea6d4b4ed034f66fe2026">getDle</a>();
    1383. 

  1383. <a name="l01284"></a>01284         <a class="code" href="timoshenko_8cpp.html#a8811e34b0658e8be58029c728afdc26d">Drr</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#ade68efdb530bee1c2a182b85fe13b3fc">getDrr</a>();
    1384. 

  1384. <a name="l01285"></a>01285         <a class="code" href="timoshenko_8cpp.html#a84c12d6f670acdf07311f85f71c281cb">Dll</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#ae8b403f0a6ac5dcdc023c32f7015cb3b">getDll</a>();
    1385. 

  1385. <a name="l01286"></a>01286         <a class="code" href="timoshenko_8cpp.html#a382df93203eda8f5d3d7cadcce4b7900">Drl</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#acd5a99a81613b3536b35871ed571d75a">getDrl</a>();
    1386. 

  1386. <a name="l01287"></a>01287         <a class="code" href="timoshenko_8cpp.html#a95d8388cb35b6302b596440dfb076330">Dc</a>=<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#a7288e0a8f2bb4750b2b3e650d148a037">getDc</a>();
    1387. 

  1387. <a name="l01288"></a>01288 
    1388. 

  1388. <a name="l01289"></a>01289         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Psi&quot;</span> &lt;&lt; endl;
    1389. 

  1389. <a name="l01290"></a>01290         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>);
    1390. 

  1390. <a name="l01291"></a>01291         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The E&quot;</span> &lt;&lt; endl;
    1391. 

  1391. <a name="l01292"></a>01292         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a5a56a5b7f3180db41b25d154f2da773a">E</a>);
    1392. 

  1392. <a name="l01293"></a>01293         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The H&quot;</span> &lt;&lt; endl;
    1393. 

  1393. <a name="l01294"></a>01294         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a61e26f9dc99fba49f7fadb4c55cad0d9">H</a>);
    1394. 

  1394. <a name="l01295"></a>01295         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Dee&quot;</span> &lt;&lt; endl;
    1395. 

  1395. <a name="l01296"></a>01296         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#aa0f213d5eeb85b3efd937aa06d2e4cd0">Dee</a>);
    1396. 

  1396. <a name="l01297"></a>01297         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Dae&quot;</span> &lt;&lt; endl;
    1397. 

  1397. <a name="l01298"></a>01298         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a57ce364b18d0e78717aa34455ad9b927">Dae</a>);
    1398. 

  1398. <a name="l01299"></a>01299         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Dar&quot;</span> &lt;&lt; endl;
    1399. 

  1399. <a name="l01300"></a>01300         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#aa3aa169a6426c8a525120992cfdc24d0">Dar</a>);
    1400. 

  1400. <a name="l01301"></a>01301         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Dre&quot;</span> &lt;&lt; endl;
    1401. 

  1401. <a name="l01302"></a>01302         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a00497b204b46d65857a12425167b8e69">Dre</a>);
    1402. 

  1402. <a name="l01303"></a>01303         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Dal&quot;</span> &lt;&lt; endl;
    1403. 

  1403. <a name="l01304"></a>01304         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>);
    1404. 

  1404. <a name="l01305"></a>01305         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Dle&quot;</span> &lt;&lt; endl;
    1405. 

  1405. <a name="l01306"></a>01306         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>);
    1406. 

  1406. <a name="l01307"></a>01307         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Drr&quot;</span> &lt;&lt; endl;
    1407. 

  1407. <a name="l01308"></a>01308         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a8811e34b0658e8be58029c728afdc26d">Drr</a>);
    1408. 

  1408. <a name="l01309"></a>01309         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Dll&quot;</span> &lt;&lt; endl;
    1409. 

  1409. <a name="l01310"></a>01310         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a84c12d6f670acdf07311f85f71c281cb">Dll</a>);
    1410. 

  1410. <a name="l01311"></a>01311         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Drl&quot;</span> &lt;&lt; endl;
    1411. 

  1411. <a name="l01312"></a>01312         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a382df93203eda8f5d3d7cadcce4b7900">Drl</a>);
    1412. 

  1412. <a name="l01313"></a>01313         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Dc&quot;</span> &lt;&lt; endl;
    1413. 

  1413. <a name="l01314"></a>01314         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a95d8388cb35b6302b596440dfb076330">Dc</a>);
    1414. 

  1414. <a name="l01315"></a>01315 
    1415. 

  1415. <a name="l01316"></a>01316         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> PsiDyad=<a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>*<a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1416. 

  1416. <a name="l01317"></a>01317 
    1417. 

  1417. <a name="l01318"></a>01318         <span class="keywordtype">double</span> trcE=0.0;
    1418. 

  1418. <a name="l01319"></a>01319         <span class="keywordtype">double</span> trcPsi=0.0;
    1419. 

  1419. <a name="l01320"></a>01320         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#a635f7fb8d72d8e9034c106060f65fa56">dofCnt</a>();<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1420. 

  1420. <a name="l01321"></a>01321         {
    1421. 

  1421. <a name="l01322"></a>01322                 trcE+=<a class="code" href="timoshenko_8cpp.html#a5a56a5b7f3180db41b25d154f2da773a">E</a>.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>);
    1422. 

  1422. <a name="l01323"></a>01323                 trcPsi+=PsiDyad.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>);
    1423. 

  1423. <a name="l01324"></a>01324         }
    1424. 

  1424. <a name="l01325"></a>01325 
    1425. 

  1425. <a name="l01326"></a>01326         <a class="code" href="timoshenko_8cpp.html#a491397dd6423a65c6ec1a79d1b284311">E_nonSingular</a>=<a class="code" href="timoshenko_8cpp.html#a5a56a5b7f3180db41b25d154f2da773a">E</a>+(trcE/trcPsi)*PsiDyad;
    1426. 

  1426. <a name="l01327"></a>01327 
    1427. 

  1427. <a name="l01328"></a>01328         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;E_nonSingular&quot;</span> &lt;&lt; endl;
    1428. 

  1428. <a name="l01329"></a>01329         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a491397dd6423a65c6ec1a79d1b284311">E_nonSingular</a>);
    1429. 

  1429. <a name="l01330"></a>01330 
    1430. 

  1430. <a name="l01331"></a>01331         <a class="code" href="timoshenko_8cpp.html#a413d8f25f8a2a8d8908744b81c619ead">DcTPsi_inverse</a>=<a class="code" href="timoshenko_8cpp.html#a95d8388cb35b6302b596440dfb076330">Dc</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>;
    1431. 

  1431. <a name="l01332"></a>01332         <a class="code" href="timoshenko_8cpp.html#a413d8f25f8a2a8d8908744b81c619ead">DcTPsi_inverse</a>=<a class="code" href="timoshenko_8cpp.html#a413d8f25f8a2a8d8908744b81c619ead">DcTPsi_inverse</a>.<a class="code" href="classmatrixSqr.html#a991ebad568b11587f75c85cc3b8da408">inverse</a>();
    1432. 

  1432. <a name="l01333"></a>01333         <a class="code" href="timoshenko_8cpp.html#ab8d0d14f89c56d73dc22d85560b8670d">PsiTDc_inverse</a>=<a class="code" href="timoshenko_8cpp.html#a413d8f25f8a2a8d8908744b81c619ead">DcTPsi_inverse</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>();
    1433. 

  1433. <a name="l01334"></a>01334 
    1434. 

  1434. <a name="l01335"></a>01335         <a class="code" href="timoshenko_8cpp.html#a8a13241405abac2c1c971fe9cf1cf6ac">lambda</a>=<a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>*<a class="code" href="timoshenko_8cpp.html#a413d8f25f8a2a8d8908744b81c619ead">DcTPsi_inverse</a>*<a class="code" href="timoshenko_8cpp.html#a95d8388cb35b6302b596440dfb076330">Dc</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1435. 

  1435. <a name="l01336"></a>01336 }
    1436. 

  1436. <a name="l01337"></a>01337 
    1437. 

  1437. <a name="l01338"></a><a class="code" href="timoshenko_8cpp.html#a1797cd74adcbc017e1f73c1de58227d6">01338</a> <span class="keywordtype">void</span> <a class="code" href="timoshenko_8cpp.html#a1797cd74adcbc017e1f73c1de58227d6">solveVabs</a>(<span class="keyword">const</span> <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a>&amp; source,<a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a>&amp; warping)
    1438. 

  1438. <a name="l01339"></a>01339 {
    1439. 

  1439. <a name="l01340"></a>01340         <span class="keyword">static</span> <a class="code" href="classmatrixMatrixSolver.html">matrixMatrixSolver</a> slvr(<a class="code" href="timoshenko_8cpp.html#a2f966add8c19cb4c2cdd65ce4ad6ac02">mdl</a>.<a class="code" href="classcxModel.html#a635f7fb8d72d8e9034c106060f65fa56">dofCnt</a>(),4);
    1440. 

  1440. <a name="l01341"></a>01341 
    1441. 

  1441. <a name="l01342"></a>01342         slvr.<a class="code" href="classmatrixMatrixSolver.html#a06093225d93b903dc93612fb23ddadf2">A</a>()=<a class="code" href="timoshenko_8cpp.html#a491397dd6423a65c6ec1a79d1b284311">E_nonSingular</a>;
    1442. 

  1442. <a name="l01343"></a>01343         slvr.B()=source;
    1443. 

  1443. <a name="l01344"></a>01344 
    1444. 

  1444. <a name="l01345"></a>01345         slvr.solve();
    1445. 

  1445. <a name="l01346"></a>01346 
    1446. 

  1446. <a name="l01347"></a>01347         warping=slvr.B()-<a class="code" href="timoshenko_8cpp.html#a8a13241405abac2c1c971fe9cf1cf6ac">lambda</a>*slvr.B();
    1447. 

  1447. <a name="l01348"></a>01348 }
    1448. 

  1448. <a name="l01349"></a>01349 
    1449. 

  1449. <a name="l01350"></a><a class="code" href="timoshenko_8cpp.html#a11efde658c4122f274ddc81ebac475b3">01350</a> <span class="keywordtype">void</span> <a class="code" href="timoshenko_8cpp.html#a11efde658c4122f274ddc81ebac475b3">firstVabs</a>()
    1450. 

  1450. <a name="l01351"></a>01351 {
    1451. 

  1451. <a name="l01352"></a>01352         <a class="code" href="timoshenko_8cpp.html#a1797cd74adcbc017e1f73c1de58227d6">solveVabs</a>(-<a class="code" href="timoshenko_8cpp.html#a57ce364b18d0e78717aa34455ad9b927">Dae</a>,<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>);
    1452. 

  1452. <a name="l01353"></a>01353 
    1453. 

  1453. <a name="l01354"></a>01354         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The V0&quot;</span> &lt;&lt; endl;
    1454. 

  1454. <a name="l01355"></a>01355         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>);
    1455. 

  1455. <a name="l01356"></a>01356 
    1456. 

  1456. <a name="l01357"></a>01357         <a class="code" href="timoshenko_8cpp.html#a7020c7b9e96e4aa0057eb33ee051eeda">K1</a>=<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a57ce364b18d0e78717aa34455ad9b927">Dae</a>+<a class="code" href="timoshenko_8cpp.html#aa0f213d5eeb85b3efd937aa06d2e4cd0">Dee</a>;
    1457. 

  1457. <a name="l01358"></a>01358 
    1458. 

  1458. <a name="l01359"></a>01359         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The K1 Matrix&quot;</span> &lt;&lt; endl;
    1459. 

  1459. <a name="l01360"></a>01360         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a7020c7b9e96e4aa0057eb33ee051eeda">K1</a>);
    1460. 

  1460. <a name="l01361"></a>01361 }
    1461. 

  1461. <a name="l01362"></a>01362 
    1462. 

  1462. <a name="l01363"></a><a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">01363</a> <span class="keywordtype">void</span> <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keywordtype">bool</span> v0pre,<span class="keyword">const</span> <a class="code" href="classmatrix.html">matrix&lt;double&gt;</a>&amp; pre,<span class="keyword">const</span> <a class="code" href="classmatrix.html">matrix&lt;double&gt;</a>&amp; post,<span class="keywordtype">bool</span> v0post,<span class="keyword">const</span> <span class="keywordtype">char</span>* msg,<a class="code" href="classmatrixRdWtSz.html">matrixRdWtSz&lt;double&gt;</a>* result)
    1463. 

  1463. <a name="l01364"></a>01364 {
    1464. 

  1464. <a name="l01365"></a>01365         <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> src;
    1465. 

  1465. <a name="l01366"></a>01366         <span class="keywordflow">if</span>(v0post)
    1466. 

  1466. <a name="l01367"></a>01367                 src=post*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>;
    1467. 

  1467. <a name="l01368"></a>01368         <span class="keywordflow">else</span>
    1468. 

  1468. <a name="l01369"></a>01369                 src=post;
    1469. 

  1469. <a name="l01370"></a>01370 
    1470. 

  1470. <a name="l01371"></a>01371         src=<a class="code" href="timoshenko_8cpp.html#a95d8388cb35b6302b596440dfb076330">Dc</a>*<a class="code" href="timoshenko_8cpp.html#ab8d0d14f89c56d73dc22d85560b8670d">PsiTDc_inverse</a>*<a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*src-src;
    1471. 

  1471. <a name="l01372"></a>01372         <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> sln;
    1472. 

  1472. <a name="l01373"></a>01373 
    1473. 

  1473. <a name="l01374"></a>01374         <a class="code" href="timoshenko_8cpp.html#a1797cd74adcbc017e1f73c1de58227d6">solveVabs</a>(src,sln);
    1474. 

  1474. <a name="l01375"></a>01375 
    1475. 

  1475. <a name="l01376"></a>01376         <span class="keywordflow">if</span>(v0pre)
    1476. 

  1476. <a name="l01377"></a>01377                 sln=V0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*pre*sln;
    1477. 

  1477. <a name="l01378"></a>01378         <span class="keywordflow">else</span>
    1478. 

  1478. <a name="l01379"></a>01379                 sln=pre*sln;
    1479. 

  1479. <a name="l01380"></a>01380 
    1480. 

  1480. <a name="l01381"></a>01381         <span class="keywordflow">if</span>(msg!=NULL)
    1481. 

  1481. <a name="l01382"></a>01382         {
    1482. 

  1482. <a name="l01383"></a>01383                 std::cout &lt;&lt; msg &lt;&lt; std::endl;
    1483. 

  1483. <a name="l01384"></a>01384                 <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(sln);
    1484. 

  1484. <a name="l01385"></a>01385         }
    1485. 

  1485. <a name="l01386"></a>01386         <span class="keywordflow">if</span>(result!=NULL)
    1486. 

  1486. <a name="l01387"></a>01387                 (*result)=sln;
    1487. 

  1487. <a name="l01388"></a>01388 }
    1488. 

  1488. <a name="l01389"></a>01389 
    1489. 

  1489. <a name="l01390"></a><a class="code" href="timoshenko_8cpp.html#ade8c5329b4ba60e9d2fefe15ac3cdbd7">01390</a> <span class="keywordtype">void</span> <a class="code" href="timoshenko_8cpp.html#ade8c5329b4ba60e9d2fefe15ac3cdbd7">secondVabs</a>()
    1490. 

  1490. <a name="l01391"></a>01391 {
    1491. 

  1491. <a name="l01392"></a>01392         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Dr=(<a class="code" href="timoshenko_8cpp.html#aa3aa169a6426c8a525120992cfdc24d0">Dar</a>+<a class="code" href="timoshenko_8cpp.html#aa3aa169a6426c8a525120992cfdc24d0">Dar</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>+<a class="code" href="timoshenko_8cpp.html#a00497b204b46d65857a12425167b8e69">Dre</a>;
    1492. 

  1492. <a name="l01393"></a>01393         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Ds=(<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>-<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>-<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>;
    1493. 

  1493. <a name="l01394"></a>01394 
    1494. 

  1494. <a name="l01395"></a>01395         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> src_e=<a class="code" href="timoshenko_8cpp.html#a95d8388cb35b6302b596440dfb076330">Dc</a>*<a class="code" href="timoshenko_8cpp.html#ab8d0d14f89c56d73dc22d85560b8670d">PsiTDc_inverse</a>*<a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Dr-Dr;
    1495. 

  1495. <a name="l01396"></a>01396         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> src_ePrm=<a class="code" href="timoshenko_8cpp.html#a95d8388cb35b6302b596440dfb076330">Dc</a>*<a class="code" href="timoshenko_8cpp.html#ab8d0d14f89c56d73dc22d85560b8670d">PsiTDc_inverse</a>*<a class="code" href="timoshenko_8cpp.html#af1537d9408c9c27303d0ebfe1c153255">Psi</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ds-Ds;
    1496. 

  1496. <a name="l01397"></a>01397 
    1497. 

  1497. <a name="l01398"></a>01398         <a class="code" href="timoshenko_8cpp.html#a1797cd74adcbc017e1f73c1de58227d6">solveVabs</a>(src_e,<a class="code" href="timoshenko_8cpp.html#a3f3afa6499529da46bbbc18e1d1472f6">V1R</a>);
    1498. 

  1498. <a name="l01399"></a>01399 
    1499. 

  1499. <a name="l01400"></a>01400         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The V1R&quot;</span> &lt;&lt; endl;
    1500. 

  1500. <a name="l01401"></a>01401         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a3f3afa6499529da46bbbc18e1d1472f6">V1R</a>);
    1501. 

  1501. <a name="l01402"></a>01402 
    1502. 

  1502. <a name="l01403"></a>01403         <a class="code" href="timoshenko_8cpp.html#a1797cd74adcbc017e1f73c1de58227d6">solveVabs</a>(src_ePrm,<a class="code" href="timoshenko_8cpp.html#a3643a3f9e1e609449a181ff4627f8052">V1S</a>);
    1503. 

  1503. <a name="l01404"></a>01404 
    1504. 

  1504. <a name="l01405"></a>01405         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The V1S&quot;</span> &lt;&lt; endl;
    1505. 

  1505. <a name="l01406"></a>01406         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a3643a3f9e1e609449a181ff4627f8052">V1S</a>);
    1506. 

  1506. <a name="l01407"></a>01407 
    1507. 

  1507. <a name="l01408"></a>01408         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Ds_bar=(<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>+<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>+<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>;
    1508. 

  1508. <a name="l01409"></a>01409 
    1509. 

  1509. <a name="l01410"></a>01410         <a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>=<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a57ce364b18d0e78717aa34455ad9b927">Dae</a>+<a class="code" href="timoshenko_8cpp.html#aa0f213d5eeb85b3efd937aa06d2e4cd0">Dee</a>+<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#aa3aa169a6426c8a525120992cfdc24d0">Dar</a>+<a class="code" href="timoshenko_8cpp.html#aa3aa169a6426c8a525120992cfdc24d0">Dar</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()+<a class="code" href="timoshenko_8cpp.html#a8811e34b0658e8be58029c728afdc26d">Drr</a>)*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>+<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a00497b204b46d65857a12425167b8e69">Dre</a>+<a class="code" href="timoshenko_8cpp.html#a00497b204b46d65857a12425167b8e69">Dre</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>+<a class="code" href="timoshenko_8cpp.html#a3f3afa6499529da46bbbc18e1d1472f6">V1R</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Dr;
    1510. 

  1510. <a name="l01411"></a>01411         <a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>=<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>+<a class="code" href="timoshenko_8cpp.html#a382df93203eda8f5d3d7cadcce4b7900">Drl</a>)*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>+<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>+(<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>+<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>())*<a class="code" href="timoshenko_8cpp.html#a3f3afa6499529da46bbbc18e1d1472f6">V1R</a>+0.5*(Dr.T()*<a class="code" href="timoshenko_8cpp.html#a3643a3f9e1e609449a181ff4627f8052">V1S</a>+<a class="code" href="timoshenko_8cpp.html#a3f3afa6499529da46bbbc18e1d1472f6">V1R</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ds_bar);
    1511. 

  1511. <a name="l01412"></a>01412         <a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>=<a class="code" href="timoshenko_8cpp.html#a3643a3f9e1e609449a181ff4627f8052">V1S</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ds_bar+<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a84c12d6f670acdf07311f85f71c281cb">Dll</a>*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>;
    1512. 

  1512. <a name="l01413"></a>01413         <a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>=(V0.T()*<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>+<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>())*<a class="code" href="timoshenko_8cpp.html#a3643a3f9e1e609449a181ff4627f8052">V1S</a>;
    1513. 

  1513. <a name="l01414"></a>01414 
    1514. 

  1514. <a name="l01415"></a>01415 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> DalT=<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>();
    1515. 

  1515. <a name="l01416"></a>01416 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> DleT=<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1516. 

  1516. <a name="l01417"></a>01417 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> C_11;
    1517. 

  1517. <a name="l01418"></a>01418 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> C_12;
    1518. 

  1518. <a name="l01419"></a>01419 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> C_13;
    1519. 

  1519. <a name="l01420"></a>01420 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> C_21;
    1520. 

  1520. <a name="l01421"></a>01421 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> C_22;
    1521. 

  1521. <a name="l01422"></a>01422 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> C_23;
    1522. 

  1522. <a name="l01423"></a>01423 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> C_31;
    1523. 

  1523. <a name="l01424"></a>01424 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> C_32;
    1524. 

  1524. <a name="l01425"></a>01425 <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> C_33;
    1525. 

  1525. <a name="l01426"></a>01426 
    1526. 

  1526. <a name="l01427"></a>01427 <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keyword">true</span>  ,DalT     ,<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>    , <span class="keyword">true</span> ,<span class="stringliteral">&quot;C_11&quot;</span>,&amp;C_11); <span class="comment">// symm</span>
    1527. 

  1527. <a name="l01428"></a>01428 <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keyword">true</span>  ,-<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>     ,<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>    , <span class="keyword">true</span> ,<span class="stringliteral">&quot;C_12&quot;</span>,&amp;C_12); <span class="comment">// skew with 21</span>
    1528. 

  1528. <a name="l01429"></a>01429 <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keyword">false</span> ,-DleT    ,<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>    , <span class="keyword">true</span> ,<span class="stringliteral">&quot;C_13&quot;</span>,&amp;C_13); <span class="comment">// skew with 31</span>
    1529. 

  1529. <a name="l01430"></a>01430 <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keyword">true</span>  ,DalT     ,DalT   , <span class="keyword">true</span> ,<span class="stringliteral">&quot;C_21&quot;</span>,&amp;C_21); <span class="comment">// skew with 12</span>
    1530. 

  1530. <a name="l01431"></a>01431 <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keyword">true</span>  ,-<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>     ,DalT   , <span class="keyword">true</span> ,<span class="stringliteral">&quot;C_22&quot;</span>,&amp;C_22); <span class="comment">// symm</span>
    1531. 

  1531. <a name="l01432"></a>01432 <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keyword">false</span> ,-DleT    ,DalT   , <span class="keyword">true</span> ,<span class="stringliteral">&quot;C_23&quot;</span>,&amp;C_23); <span class="comment">// combined symmetric</span>
    1532. 

  1532. <a name="l01433"></a>01433 <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keyword">true</span>  ,DalT     ,<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>    , <span class="keyword">false</span>,<span class="stringliteral">&quot;C_31&quot;</span>,&amp;C_31); <span class="comment">// // skew with 13</span>
    1533. 

  1533. <a name="l01434"></a>01434 <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keyword">true</span>  ,-<a class="code" href="timoshenko_8cpp.html#abb2de6c91615ad4180c2a135c454e753">Dal</a>     ,<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>    , <span class="keyword">false</span>,<span class="stringliteral">&quot;C_32&quot;</span>,&amp;C_32); <span class="comment">// combined symmetric</span>
    1534. 

  1534. <a name="l01435"></a>01435 <a class="code" href="timoshenko_8cpp.html#a9bd47060adc6b0cb9c4514ee7655a949">printMyCTerm</a>(<span class="keyword">false</span> ,-DleT    ,<a class="code" href="timoshenko_8cpp.html#a1023fbaeff92c773a8bd1706618e15e7">Dle</a>    , <span class="keyword">false</span>,<span class="stringliteral">&quot;C_33&quot;</span>,&amp;C_33); <span class="comment">// symm</span>
    1535. 

  1535. <a name="l01436"></a>01436 
    1536. 

  1536. <a name="l01437"></a>01437 std::cout &lt;&lt; <span class="stringliteral">&quot;C_11+C_12+C_13+C_21+C_22+C_23+C_31+C_32+C_33+V0.T()*Dll*V0&quot;</span> &lt;&lt; std::endl;
    1537. 

  1537. <a name="l01438"></a>01438 <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(C_11+C_12+C_13+C_21+C_22+C_23+C_31+C_32+C_33+V0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a84c12d6f670acdf07311f85f71c281cb">Dll</a>*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>);
    1538. 

  1538. <a name="l01439"></a>01439 std::cout &lt;&lt; <span class="stringliteral">&quot;C_11+C_22+C_23+C_32+C_33+V0.T()*Dll*V0&quot;</span> &lt;&lt; std::endl;
    1539. 

  1539. <a name="l01440"></a>01440 <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(C_11+C_22+C_23+C_32+C_33+V0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a84c12d6f670acdf07311f85f71c281cb">Dll</a>*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>);
    1540. 

  1540. <a name="l01441"></a>01441 std::cout &lt;&lt; <span class="stringliteral">&quot;C_11-C_12-C_13+C_21-C_22-C_23+C_31-C_32-C_33+V0.T()*Dll*V0&quot;</span> &lt;&lt; std::endl;
    1541. 

  1541. <a name="l01442"></a>01442 <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(C_11-C_12-C_13+C_21-C_22-C_23+C_31-C_32-C_33+V0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a84c12d6f670acdf07311f85f71c281cb">Dll</a>*<a class="code" href="timoshenko_8cpp.html#a1d3a5dd5ac486ad4ab79899fe9ea0893">V0</a>);
    1542. 

  1542. <a name="l01443"></a>01443 
    1543. 

  1543. <a name="l01444"></a>01444         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The A Matrix&quot;</span> &lt;&lt; endl;
    1544. 

  1544. <a name="l01445"></a>01445         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>);
    1545. 

  1545. <a name="l01446"></a>01446         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The B Matrix&quot;</span> &lt;&lt; endl;
    1546. 

  1546. <a name="l01447"></a>01447         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>);
    1547. 

  1547. <a name="l01448"></a>01448         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The C Matrix&quot;</span> &lt;&lt; endl;
    1548. 

  1548. <a name="l01449"></a>01449         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(C);
    1549. 

  1549. <a name="l01450"></a>01450         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The D Matrix&quot;</span> &lt;&lt; endl;
    1550. 

  1550. <a name="l01451"></a>01451         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>);
    1551. 

  1551. <a name="l01452"></a>01452 }
    1552. 

  1552. <a name="l01453"></a>01453 
    1553. 

  1553. <a name="l01454"></a><a class="code" href="timoshenko_8cpp.html#a9b0062599d085bce366a3d549fd9ce4f">01454</a> <span class="keywordtype">void</span> <a class="code" href="timoshenko_8cpp.html#a9b0062599d085bce366a3d549fd9ce4f">timoshenkoTransform</a>()
    1554. 

  1554. <a name="l01455"></a>01455 {
    1555. 

  1555. <a name="l01456"></a>01456         <span class="keywordtype">double</span> k1=<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    1556. 

  1556. <a name="l01457"></a>01457         <span class="keywordtype">double</span> k2=<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    1557. 

  1557. <a name="l01458"></a>01458         <span class="keywordtype">double</span> k3=<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2);
    1558. 

  1558. <a name="l01459"></a>01459 
    1559. 

  1559. <a name="l01460"></a>01460         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Q(4,2);
    1560. 

  1560. <a name="l01461"></a>01461         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> P(4,2);
    1561. 

  1561. <a name="l01462"></a>01462         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> D1(2,2);
    1562. 

  1562. <a name="l01463"></a>01463         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> D2(2,4);
    1563. 

  1563. <a name="l01464"></a>01464         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> D3(4,4);
    1564. 

  1564. <a name="l01465"></a>01465         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> I_2(2,2);
    1565. 

  1565. <a name="l01466"></a>01466 
    1566. 

  1566. <a name="l01467"></a>01467         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;4;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1567. 

  1567. <a name="l01468"></a>01468         {
    1568. 

  1568. <a name="l01469"></a>01469                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    1569. 

  1569. <a name="l01470"></a>01470                 {
    1570. 

  1570. <a name="l01471"></a>01471                         D3.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1571. 

  1571. <a name="l01472"></a>01472                 }
    1572. 

  1572. <a name="l01473"></a>01473                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;2;j++)
    1573. 

  1573. <a name="l01474"></a>01474                 {
    1574. 

  1574. <a name="l01475"></a>01475                         Q.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1575. 

  1575. <a name="l01476"></a>01476                         P.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1576. 

  1576. <a name="l01477"></a>01477                 }
    1577. 

  1577. <a name="l01478"></a>01478         }
    1578. 

  1578. <a name="l01479"></a>01479         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;2;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1579. 

  1579. <a name="l01480"></a>01480         {
    1580. 

  1580. <a name="l01481"></a>01481                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    1581. 

  1581. <a name="l01482"></a>01482                 {
    1582. 

  1582. <a name="l01483"></a>01483                         D2.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1583. 

  1583. <a name="l01484"></a>01484                 }
    1584. 

  1584. <a name="l01485"></a>01485                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;2;j++)
    1585. 

  1585. <a name="l01486"></a>01486                 {
    1586. 

  1586. <a name="l01487"></a>01487                         D1.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1587. 

  1587. <a name="l01488"></a>01488                         I_2.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1588. 

  1588. <a name="l01489"></a>01489                 }
    1589. 

  1589. <a name="l01490"></a>01490         }
    1590. 

  1590. <a name="l01491"></a>01491 
    1591. 

  1591. <a name="l01492"></a>01492         Q.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,1)=-1.0;
    1592. 

  1592. <a name="l01493"></a>01493         Q.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,0)=-1.0;
    1593. 

  1593. <a name="l01494"></a>01494 
    1594. 

  1594. <a name="l01495"></a>01495         P.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,0)=k2;
    1595. 

  1595. <a name="l01496"></a>01496         P.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,1)=k3;
    1596. 

  1596. <a name="l01497"></a>01497         P.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,0)=-k1;
    1597. 

  1597. <a name="l01498"></a>01498         P.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,1)=-k1;
    1598. 

  1598. <a name="l01499"></a>01499 
    1599. 

  1599. <a name="l01500"></a>01500         D1.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,1)=-k1;
    1600. 

  1600. <a name="l01501"></a>01501         D1.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,0)=-k1;
    1601. 

  1601. <a name="l01502"></a>01502 
    1602. 

  1602. <a name="l01503"></a>01503         D2.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,0)=k3;
    1603. 

  1603. <a name="l01504"></a>01504         D2.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,0)=-k2;
    1604. 

  1604. <a name="l01505"></a>01505 
    1605. 

  1605. <a name="l01506"></a>01506         D3.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,2)=-k3;
    1606. 

  1606. <a name="l01507"></a>01507         D3.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,3)=k2;
    1607. 

  1607. <a name="l01508"></a>01508         D3.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,1)=k3;
    1608. 

  1608. <a name="l01509"></a>01509         D3.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,3)=-k1;
    1609. 

  1609. <a name="l01510"></a>01510         D3.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,1)=-k2;
    1610. 

  1610. <a name="l01511"></a>01511         D3.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,2)=k1;
    1611. 

  1611. <a name="l01512"></a>01512 
    1612. 

  1612. <a name="l01513"></a>01513         I_2.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,0)=1.0;
    1613. 

  1613. <a name="l01514"></a>01514         I_2.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,1)=1.0;
    1614. 

  1614. <a name="l01515"></a>01515 
    1615. 

  1615. <a name="l01516"></a>01516         <span class="comment">// this is the zero-order approximation</span>
    1616. 

  1616. <a name="l01517"></a>01517         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> Ainv=<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>.<a class="code" href="classmatrixSqr.html#a991ebad568b11587f75c85cc3b8da408">inverse</a>();
    1617. 

  1617. <a name="l01518"></a>01518         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> G0inv=Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*(<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>-<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>)*Ainv*Q;
    1618. 

  1618. <a name="l01519"></a>01519         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> G0=G0inv.<a class="code" href="classmatrixSqr.html#a991ebad568b11587f75c85cc3b8da408">inverse</a>();
    1619. 

  1619. <a name="l01520"></a>01520         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Y0=<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*Ainv*Q*G0;
    1620. 

  1620. <a name="l01521"></a>01521         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> X0=<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>+Y0*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1621. 

  1621. <a name="l01522"></a>01522         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> N0=<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>;
    1622. 

  1622. <a name="l01523"></a>01523         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> N0inv=Ainv;
    1623. 

  1623. <a name="l01524"></a>01524 
    1624. 

  1624. <a name="l01525"></a>01525         <span class="comment">// collect some of the intermediates that are dependent on the zero-order approximation</span>
    1625. 

  1625. <a name="l01526"></a>01526         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> phi0=Y0*G0inv*D1+D2.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1626. 

  1626. <a name="l01527"></a>01527         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> psi0=Y0*G0inv*D2-D3;
    1627. 

  1627. <a name="l01528"></a>01528         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> L0=Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*phi0+D1;
    1628. 

  1628. <a name="l01529"></a>01529         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> M0=Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*psi0+D2;
    1629. 

  1629. <a name="l01530"></a>01530         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> W_10=-P*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()-Q*G0inv*M0*N0;
    1630. 

  1630. <a name="l01531"></a>01531         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> Wp_10=(N0inv*psi0-Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*Q*D2)*N0;
    1631. 

  1631. <a name="l01532"></a>01532         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> Wpp_10=N0inv*Q*D2*N0;
    1632. 

  1632. <a name="l01533"></a>01533         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_00=Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*Q*G0;
    1633. 

  1633. <a name="l01534"></a>01534         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_p_00=-N0inv*Q*G0;
    1634. 

  1634. <a name="l01535"></a>01535         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_p_10=N0inv*(phi0*G0+psi0*Y0)-Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*Q*(D1*G0+D2*Y0)+(P*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv+Q*G0inv*M0)*Q*G0;
    1635. 

  1635. <a name="l01536"></a>01536         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_pp_10=N0inv*(Q*(D1*G0+D2*Y0)-psi0*Q*G0)+Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*Q*D2*Q*G0;
    1636. 

  1636. <a name="l01537"></a>01537 
    1637. 

  1637. <a name="l01538"></a>01538         <span class="comment">// This is the first order approximation</span>
    1638. 

  1638. <a name="l01539"></a>01539         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> N1=<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>*W_10+<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*Wp_10+<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*Wpp_10;
    1639. 

  1639. <a name="l01540"></a>01540         N1+=N1.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a914a36f3e45c52d0fd3ab30be109244c">transpose</a>();
    1640. 

  1640. <a name="l01541"></a>01541 
    1641. 

  1641. <a name="l01542"></a>01542         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> n1=-N0inv*N1;
    1642. 

  1642. <a name="l01543"></a>01543         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> S10=beta_p_00.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>*beta_p_10+beta_00.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*beta_p_10+<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*beta_pp_10);
    1643. 

  1643. <a name="l01544"></a>01544         S10+=S10.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a914a36f3e45c52d0fd3ab30be109244c">transpose</a>();
    1644. 

  1644. <a name="l01545"></a>01545 
    1645. 

  1645. <a name="l01546"></a>01546         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> G1=G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*n1.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>-<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>)*N0inv*Q*G0;
    1646. 

  1646. <a name="l01547"></a>01547         G1+=G1.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a914a36f3e45c52d0fd3ab30be109244c">transpose</a>();
    1647. 

  1647. <a name="l01548"></a>01548         G1-=S10;
    1648. 

  1648. <a name="l01549"></a>01549 
    1649. 

  1649. <a name="l01550"></a>01550         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> g1=-G1*G0inv;
    1650. 

  1650. <a name="l01551"></a>01551 
    1651. 

  1651. <a name="l01552"></a>01552         <span class="comment">// POSSIBLE ERROR: It seems that there are some terms that are post-multiplied by A when it should be Ainv</span>
    1652. 

  1652. <a name="l01553"></a>01553         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Fstar_10=G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*P*G0inv*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>+(G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*Ainv*Q-I_2-Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*Q)*(D1*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>+D2*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())+G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*psi0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*Ainv*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()-<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>)+(G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>-Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>())*Ainv*D3*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>+Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*P*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1653. 

  1653. <a name="l01554"></a>01554 
    1654. 

  1654. <a name="l01555"></a>01555         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Fstar_10_extra=Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*Y0*G0inv*D2*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>+Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Q*G0inv*D2*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>-G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*Ainv*Y0*G0inv*D2*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>+G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*Q*D2*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>-G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*D2.T()*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*Y0*G0inv*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()-<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>)+G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*D2.T()*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1655. 

  1655. <a name="l01556"></a>01556 
    1656. 

  1656. <a name="l01557"></a>01557         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Fstar_10_extra Matrix&quot;</span> &lt;&lt; endl;
    1657. 

  1657. <a name="l01558"></a>01558         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(Fstar_10_extra);
    1658. 

  1658. <a name="l01559"></a>01559         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Fstar_10 Matrix&quot;</span> &lt;&lt; endl;
    1659. 

  1659. <a name="l01560"></a>01560         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(Fstar_10);
    1660. 

  1660. <a name="l01561"></a>01561 
    1661. 

  1661. <a name="l01562"></a>01562         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;G0*Q.T()*Ainv*D*Q*G0inv*Y0.T()*Ainv*Q*D2*A&quot;</span> &lt;&lt; endl;
    1662. 

  1662. <a name="l01563"></a>01563         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*Q*D2*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>);
    1663. 

  1663. <a name="l01564"></a>01564 
    1664. 

  1664. <a name="l01565"></a>01565         Fstar_10+=Fstar_10_extra;
    1665. 

  1665. <a name="l01566"></a>01566 
    1666. 

  1666. <a name="l01567"></a>01567         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Fstar_10+Fstar_10_extra Matrix&quot;</span> &lt;&lt; endl;
    1667. 

  1667. <a name="l01568"></a>01568         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(Fstar_10);
    1668. 

  1668. <a name="l01569"></a>01569 
    1669. 

  1669. <a name="l01570"></a>01570         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Y1=-Y0*g1.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()-Fstar_10.T();
    1670. 

  1670. <a name="l01571"></a>01571 
    1671. 

  1671. <a name="l01572"></a>01572         <span class="comment">// type_squareMatrix G1inv=G0inv-G0inv*G1*G0inv;</span>
    1672. 

  1672. <a name="l01573"></a>01573 
    1673. 

  1673. <a name="l01574"></a>01574         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The N1 Matrix&quot;</span> &lt;&lt; endl;
    1674. 

  1674. <a name="l01575"></a>01575         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(N1);
    1675. 

  1675. <a name="l01576"></a>01576         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The G0inv*g1 Matrix&quot;</span> &lt;&lt; endl;
    1676. 

  1676. <a name="l01577"></a>01577         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(G0inv*g1);
    1677. 

  1677. <a name="l01578"></a>01578         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;Y1*G0inv*Y0.T()+Y0*G0inv*Y1.T()&quot;</span> &lt;&lt; endl;
    1678. 

  1678. <a name="l01579"></a>01579         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(Y1*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y0*G0inv*Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>());
    1679. 

  1679. <a name="l01580"></a>01580 
    1680. 

  1680. <a name="l01581"></a>01581 <span class="comment">//      type_matrix X1=N1+Y1.T()*G1inv*Y1;</span>
    1681. 

  1681. <a name="l01582"></a>01582         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> X1=N1+Y1*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y0*G0inv*g1*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y0*G0inv*Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1682. 

  1682. <a name="l01583"></a>01583 
    1683. 

  1683. <a name="l01584"></a>01584         <span class="comment">// Calculate some of the intermediates that will be used in the next approximation</span>
    1684. 

  1684. <a name="l01585"></a>01585         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> phi1=Y1*G0inv*D1+Y0*G0inv*g1*D1;
    1685. 

  1685. <a name="l01586"></a>01586         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> psi1=Y1*G0inv*D2+Y0*G0inv*g1*D2;
    1686. 

  1686. <a name="l01587"></a>01587         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> L1=Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*phi0+Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*n1*N0inv*phi0+Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*phi1;
    1687. 

  1687. <a name="l01588"></a>01588         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> M1=Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*psi0+Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*n1*N0inv*psi0+Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*psi1;
    1688. 

  1688. <a name="l01589"></a>01589         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> W_11=-P*G0inv*(g1*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>())-Q*G0inv*(g1*M0*N0+M1*N0+M0*N1);
    1689. 

  1689. <a name="l01590"></a>01590         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> Wp_11=(n1*N0inv*psi0+N0inv*psi1-Q*G0inv*(g1*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*n1)*N0inv*Q*D2)*N0+(N0inv*psi0-Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*Q*D2)*N1;
    1690. 

  1690. <a name="l01591"></a>01591         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> Wpp_11=N0inv*Q*D2*N1+n1*N0inv*Q*D2*N0;
    1691. 

  1691. <a name="l01592"></a>01592         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> Wp_20=(Q*G0inv*(L0*D2+M0*D3)-P*G0inv*M0)*N0;
    1692. 

  1692. <a name="l01593"></a>01593         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> Wpp_20=(Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*Q*(D1*D2+D2*D3)+(-N0inv*phi0+W_10*N0inv*Q)*D2-N0inv*psi0*D3)*N0;
    1693. 

  1693. <a name="l01594"></a>01594 <span class="comment">//      type_squareMatrix Wpp_20=((Q*G0inv*Y0.T()*N0inv*Q*D1-N0inv*phi0+W_10*N0inv*Q)*D2-N0inv*psi0*D3)*N0;</span>
    1694. 

  1694. <a name="l01595"></a>01595         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> A11=<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>*W_11+<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*Wp_11+<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*Wpp_11;
    1695. 

  1695. <a name="l01596"></a>01596         A11+=A11.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a914a36f3e45c52d0fd3ab30be109244c">transpose</a>();
    1696. 

  1696. <a name="l01597"></a>01597         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> A20=<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*Wp_20+<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*Wpp_20+W_10.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*Wp_10+<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*Wpp_10);
    1697. 

  1697. <a name="l01598"></a>01598         A20+=A20.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a914a36f3e45c52d0fd3ab30be109244c">transpose</a>();
    1698. 

  1698. <a name="l01599"></a>01599         A20+=W_10.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>*W_10+Wp_10.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>*Wp_10;
    1699. 

  1699. <a name="l01600"></a>01600         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_11=-Q*G0inv*((L0*G1+L1*G0+M0*Y1+M1*Y0)+g1*(L0*G0+M0*Y0));
    1700. 

  1700. <a name="l01601"></a>01601         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_p_11=N0inv*(phi0*G1+phi1*G0+psi1*Y0+psi0*Y1)+n1*N0inv*(phi0*G0+psi0*Y0)+(P*G0inv*(Y0.T()*n1+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+g1*Y0.T())*N0inv+Q*G0inv*(M1+g1*M0))*Q*G0+(P*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv+Q*G0inv*M0)*Q*G1-Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0inv*Q*(D1*G1+D2*Y1)-Q*G0inv*(Y0.T()*n1+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+g1*Y0.T())*N0inv*Q*(D1*G0+D2*Y0);
    1701. 

  1701. <a name="l01602"></a>01602         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_pp_11=N0inv*(Q*(D1*G1+D2*Y1)-psi1*Q*G0-psi0*Q*G1)+n1*N0inv*(Q*(D1*G0+D2*Y0)-psi0*Q*G0)+Q*G0inv*(g1*Y0.T()+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*n1)*N0inv*Q*D2*Q*G0+Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0inv*Q*D2*Q*G0;
    1702. 

  1702. <a name="l01603"></a>01603         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_01=Q*G0inv*((g1*Y0.T()+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y0.T()*n1)*N0inv*Q*G0+Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0inv*Q*G1);
    1703. 

  1703. <a name="l01604"></a>01604         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_p_01=-n1*N0inv*Q*G0-N0inv*Q*G1;
    1704. 

  1704. <a name="l01605"></a>01605         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_10=P-Q*G0inv*(L0*G0+M0*Y0);
    1705. 

  1705. <a name="l01606"></a>01606         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_p_20=Q*G0inv*(L0*(D1*G0+D2*Y0)+M0*(D3*Y0-D2.T()*G0))-P*G0inv*(L0*G0+M0*Y0);
    1706. 

  1706. <a name="l01607"></a>01607         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_pp_20=(Q*G0inv*Y0.T()*N0inv*Q*D1-N0inv*phi0-P*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*Q-Q*G0inv*M0*Q)*(D1*G0+D2*Y0)+(Q*G0inv*Y0.T()*N0inv*Q*D2-N0inv*psi0)*(D3*Y0-D2.T()*G0)-Q*G0inv*(L0*D2+M0*D3)*Q*G0+P*G0inv*M0*Q*G0;
    1707. 

  1707. <a name="l01608"></a>01608         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> S11=beta_01.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>*beta_10+<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*beta_p_10+<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*beta_pp_10)+beta_00.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*beta_p_11+<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*beta_pp_11)+beta_p_00.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>*beta_p_11+beta_p_01.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>*beta_p_00+beta_10.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*beta_p_01;
    1708. 

  1708. <a name="l01609"></a>01609         S11+=S11.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a914a36f3e45c52d0fd3ab30be109244c">transpose</a>();
    1709. 

  1709. <a name="l01610"></a>01610         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> S20=beta_p_00.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>*beta_p_20+beta_00.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*beta_p_20+<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*beta_pp_20)+beta_10.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*beta_p_10+<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>*beta_pp_10);
    1710. 

  1710. <a name="l01611"></a>01611         S20+=S20.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a914a36f3e45c52d0fd3ab30be109244c">transpose</a>();
    1711. 

  1711. <a name="l01612"></a>01612         S20+=beta_10.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>*beta_10+beta_p_10.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>*beta_p_10;
    1712. 

  1712. <a name="l01613"></a>01613         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> alphaS=beta_01.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>*beta_01+beta_p_01.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>*beta_p_01+beta_p_01.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*beta_01+beta_01.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*beta_p_01;
    1713. 

  1713. <a name="l01614"></a>01614 
    1714. 

  1714. <a name="l01615"></a>01615         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> B_star=Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1715. 

  1715. <a name="l01616"></a>01616         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> D_star=G0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#accb2153036f968b832dc2d0614bf32ec">D</a>;
    1716. 

  1716. <a name="l01617"></a>01617         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> W_10_star=(-P*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()-Q*G0inv*M0*N0)*Ainv*Q*G0;
    1717. 

  1717. <a name="l01618"></a>01618         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Wp_10_star=(N0inv*psi0-Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0inv*Q*D2)*Q*G0;
    1718. 

  1718. <a name="l01619"></a>01619         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Wp_20_star=(Q*G0inv*(L0*D2+M0*D3)-P*G0inv*M0)*Q*G0;
    1719. 

  1719. <a name="l01620"></a>01620         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Wpp_10_star=N0inv*Q*D2*Q*G0;
    1720. 

  1720. <a name="l01621"></a>01621         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Wpp_20_star=Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*Q*(D1*D2+D2*D3)*Ainv*Q*G0+(-N0inv*phi0+W_10*N0inv*Q)*D2*Ainv*Q*G0-N0inv*psi0*D3*Ainv*Q*G0;
    1721. 

  1721. <a name="l01622"></a>01622 
    1722. 

  1722. <a name="l01623"></a>01623         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_00_star=Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>();
    1723. 

  1723. <a name="l01624"></a>01624         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_10_star=P*G0inv*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0-Q*G0inv*(L0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0+M0*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>());
    1724. 

  1724. <a name="l01625"></a>01625         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_p_10_star=N0inv*(phi0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0+psi0*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())-Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0inv*Q*(D1*Q.T()*N0+D2*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())+(P*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv+Q*G0inv*M0)*N0;
    1725. 

  1725. <a name="l01626"></a>01626         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_p_20_star=-P*G0inv*(L0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0+M0*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())+Q*G0inv*M0*(D3*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()-D2.T()*Q.T()*N0)+Q*G0inv*L0*(D1*Q.T()*N0+D2*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>());
    1726. 

  1726. <a name="l01627"></a>01627         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_pp_10_star=-N0inv*psi0*N0+N0inv*Q*(D1*Q.T()*N0+D2*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())+Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0inv*Q*D2*N0;
    1727. 

  1727. <a name="l01628"></a>01628         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_pp_20_star=-N0inv*psi0*(D3*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()-D2.T()*Q.T()*N0)-N0inv*phi0*(D1*Q.T()*N0+D2*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())+P*G0inv*M0*N0-P*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv*Q*(D1*Q.T()*N0+D2*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())+Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0inv*Q*D2*(D3*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()-D2.T()*Q.T()*N0)-Q*G0inv*(M0*D3+L0*D2)*N0-Q*G0inv*(M0*Q-Y0.T()*N0inv*Q*D1)*(D1*Q.T()*N0+D2*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>());
    1728. 

  1728. <a name="l01629"></a>01629 
    1729. 

  1729. <a name="l01630"></a>01630         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> F20_star=B_star*beta_p_20_star+D_star*beta_pp_20_star+W_10_star.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>*beta_10_star+<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*beta_p_10_star+D*beta_pp_10_star)+Wp_10_star.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*beta_10_star+<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>*beta_p_10_star)+Wp_20_star.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*beta_00_star-<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>)+Wpp_10_star.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*D.T()*beta_10_star+Wpp_20_star.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*D.T()*beta_00_star;
    1730. 

  1730. <a name="l01631"></a>01631 
    1731. 

  1731. <a name="l01632"></a>01632         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Wp_11_star=(n1*N0inv*psi0+N0inv*psi1-Q*G0inv*(g1*Y0.T()+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y0.T()*n1)*N0inv*Q*D2)*Q*G0+(N0inv*psi0-Q*G0inv*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0inv*Q*D2)*N1*Ainv*Q*G0;
    1732. 

  1732. <a name="l01633"></a>01633         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Wpp_11_star=N0inv*Q*D2*N1*Ainv*Q*G0+n1*N0inv*Q*D2*Q*G0;
    1733. 

  1733. <a name="l01634"></a>01634 
    1734. 

  1734. <a name="l01635"></a>01635         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_01_star=Q*G0inv*((g1*Y0.T()+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y0.T()*n1)+Y0.T()*N0inv*Q*G1*G0inv*Q.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0);
    1735. 

  1735. <a name="l01636"></a>01636         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> beta_11_star=-(L0*G1*G0inv*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0+L1*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0+M0*Y1*G0inv*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0+M1*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())-g1*(L0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0+M0*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>());
    1736. 

  1736. <a name="l01637"></a>01637         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_p_01_star=-n1-N0inv*Q*G1*G0inv*Q.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0;
    1737. 

  1737. <a name="l01638"></a>01638         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_p_11_star=N0inv*(phi0*G1*G0inv*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0+phi1*Q.T()*N0+psi1*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()+psi0*Y1*G0inv*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0)+n1*N0inv*(phi0*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0+psi0*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())+P*G0inv*(Y0.T()*n1+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+g1*Y0.T())+Q*G0inv*(M1+g1*M0)*N0+(P*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0inv+Q*G0inv*M0)*Q*G1*G0inv*Q.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*N0-Q*G0inv*Y0.T()*N0inv*Q*(D1*G1+D2*Y1)*G0inv*Q.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0-Q*G0inv*(Y0.T()*n1+Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+g1*Y0.T())*N0inv*Q*(D1*Q.T()*N0+D2*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>());
    1738. 

  1738. <a name="l01639"></a>01639         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> beta_pp_11_star=N0inv*(Q*(D1*G1+D2*Y1)-psi0*Q*G1)*G0inv*Q.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0-N0inv*psi1*N0+n1*N0inv*(Q*(D1*Q.T()*N0+D2*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>())-psi0*N0);
    1739. 

  1739. <a name="l01640"></a>01640 
    1740. 

  1740. <a name="l01641"></a>01641         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> F11_star=beta_11_star+B_star*beta_p_11_star+D_star*beta_pp_11_star+W_10_star.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>*beta_01_star+<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>*beta_p_01_star)+Wp_10_star.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*beta_01_star+<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>*beta_p_01_star)+Wp_11_star.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*beta_00_star-<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>)+Wpp_11_star.T()*D.T()*beta_00_star+Wpp_10_star.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()*D.T()*beta_01_star;
    1741. 

  1741. <a name="l01642"></a>01642 
    1742. 

  1742. <a name="l01643"></a>01643 <span class="comment">//      type_matrix F11=A*beta_11+B*beta_p_11+D*beta_pp_11+W_10.T()*(A*beta_01+B*beta_p_01)+Wp_10.T()*(B.T()*beta_01+C*beta_p_01)+Wp_11*(B.T()*beta_00+C*beta_p_00)+Wpp_11.T()*D.T()*beta_00+Wpp_10*D.T()*beta_01;</span>
    1743. 

  1743. <a name="l01644"></a>01644 <span class="comment">//      type_matrix F20=B*beta_p_20+D*beta_pp_20+W_10.T()*(A*beta_10+B*beta_p_10+D*beta_pp_10)+Wp_10.T()*(B.T()*beta_10+C*beta_p_10)+Wp_20.T()*(B.T()*beta_00+C*beta_p_00)+Wpp_10.T()*D.T()*beta_10+Wpp_20.T()*D.T()*beta_00;</span>
    1744. 

  1744. <a name="l01645"></a>01645 
    1745. 

  1745. <a name="l01646"></a>01646 <span class="comment">//      type_matrix F11_star=G0*Q.T()*Ainv*F11*G0inv*Q.T()*N0;</span>
    1746. 

  1746. <a name="l01647"></a>01647 <span class="comment">//      type_matrix F20_star=G0*Q.T()*Ainv*F20*G0inv*Q.T()*N0;</span>
    1747. 

  1747. <a name="l01648"></a>01648 
    1748. 

  1748. <a name="l01649"></a>01649         <span class="comment">// Now we calculate the second approximation</span>
    1749. 

  1749. <a name="l01650"></a>01650         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> N2=A11+A20;
    1750. 

  1750. <a name="l01651"></a>01651 
    1751. 

  1751. <a name="l01652"></a>01652         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> n2=N0inv*(N1*N0inv*N1-N2);
    1752. 

  1752. <a name="l01653"></a>01653 
    1753. 

  1753. <a name="l01654"></a>01654         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> G2=(n2*N0inv*Q*G0+n1*N0inv*Q*G1).<a class="code" href="rotationMath_8cpp.html#a77ad922cc714adc5ebf10e36b2dd58f8">T</a>()*(<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*Ainv*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>-<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>)*N0inv*Q*G0;
    1754. 

  1754. <a name="l01655"></a>01655         G2+=G2.<a class="code" href="classmatrixRdWtStaticSqr__Data.html#aaef181438e36b1bb8667f80ab3eae3f1">transpose</a>();
    1755. 

  1755. <a name="l01656"></a>01656         G2-=(S20+S11+alphaS);
    1756. 

  1756. <a name="l01657"></a>01657 
    1757. 

  1757. <a name="l01658"></a>01658         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> g2=(G1*G0inv*G1-G2)*G0inv;
    1758. 

  1758. <a name="l01659"></a>01659 
    1759. 

  1759. <a name="l01660"></a>01660         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> Y2=(-F11_star-F20_star-g2*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()-g1*Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()-(Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+g1*Y0.T())*n1-(Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+g1*Y0.T())*N0inv*Q*G1*G0inv*Q.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*N0).<a class="code" href="rotationMath_8cpp.html#a77ad922cc714adc5ebf10e36b2dd58f8">T</a>();
    1760. 

  1760. <a name="l01661"></a>01661 
    1761. 

  1761. <a name="l01662"></a>01662         <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> X2=N2+Y2*G0inv*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y1*G0inv*g1*Y0.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y1*G0inv*Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y0*G0inv*g2*Y0.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()+Y0*G0inv*g1*Y1.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>()+Y0*G0inv*Y2.<a class="code" href="classmatrixRdWtSz__Data.html#ae1c7af296930751d1ceaf95429e9bb57">T</a>();
    1762. 

  1762. <a name="l01663"></a>01663 
    1763. 

  1763. <a name="l01664"></a>01664         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The X0 Matrix&quot;</span> &lt;&lt; endl;
    1764. 

  1764. <a name="l01665"></a>01665         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(X0);
    1765. 

  1765. <a name="l01666"></a>01666         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Y0 Matrix&quot;</span> &lt;&lt; endl;
    1766. 

  1766. <a name="l01667"></a>01667         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(Y0);
    1767. 

  1767. <a name="l01668"></a>01668         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The G0 Matrix&quot;</span> &lt;&lt; endl;
    1768. 

  1768. <a name="l01669"></a>01669         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(G0);
    1769. 

  1769. <a name="l01670"></a>01670 
    1770. 

  1770. <a name="l01671"></a>01671         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The X1 Matrix&quot;</span> &lt;&lt; endl;
    1771. 

  1771. <a name="l01672"></a>01672         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(X1);
    1772. 

  1772. <a name="l01673"></a>01673         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Y1 Matrix&quot;</span> &lt;&lt; endl;
    1773. 

  1773. <a name="l01674"></a>01674         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(Y1);
    1774. 

  1774. <a name="l01675"></a>01675         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The G1 Matrix&quot;</span> &lt;&lt; endl;
    1775. 

  1775. <a name="l01676"></a>01676         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(G1);
    1776. 

  1776. <a name="l01677"></a>01677 
    1777. 

  1777. <a name="l01678"></a>01678         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The X2 Matrix&quot;</span> &lt;&lt; endl;
    1778. 

  1778. <a name="l01679"></a>01679         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(X2);
    1779. 

  1779. <a name="l01680"></a>01680         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Y2 Matrix&quot;</span> &lt;&lt; endl;
    1780. 

  1780. <a name="l01681"></a>01681         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(Y2);
    1781. 

  1781. <a name="l01682"></a>01682         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The G2 Matrix&quot;</span> &lt;&lt; endl;
    1782. 

  1782. <a name="l01683"></a>01683         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(G2);
    1783. 

  1783. <a name="l01684"></a>01684 
    1784. 

  1784. <a name="l01685"></a>01685         <a class="code" href="timoshenko_8cpp.html#a838a996015778bc0a1cd42951d343f39">XSoln</a>=X0+X1+X2;
    1785. 

  1785. <a name="l01686"></a>01686         <a class="code" href="timoshenko_8cpp.html#a7e5e4e7714d5989985d85f0ae383b9df">YSoln</a>=Y0+Y1+Y2;
    1786. 

  1786. <a name="l01687"></a>01687         <a class="code" href="timoshenko_8cpp.html#ab3d457ebe89f1bbd370a529bbab0e9bc">GSoln</a>=G0+G1+G2;
    1787. 

  1787. <a name="l01688"></a>01688 }
    1788. 

  1788. <a name="l01689"></a>01689 
    1789. 

  1789. <a name="l01690"></a><a class="code" href="timoshenko_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">01690</a> <span class="keywordtype">int</span> <a class="code" href="aero_2bird__wing_2build_2CMakeFiles_2CompilerIdCXX_2CMakeCXXCompilerId_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span>** argv)
    1790. 

  1790. <a name="l01691"></a>01691 {
    1791. 

  1791. <a name="l01692"></a>01692         <a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtSzVect.html#ab48db315193c737755585e4f1a107050">resize</a>(3);
    1792. 

  1792. <a name="l01693"></a>01693 
    1793. 

  1793. <a name="l01694"></a>01694         <a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0)=0.000001;
    1794. 

  1794. <a name="l01695"></a>01695         <a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1)=0.000001;
    1795. 

  1795. <a name="l01696"></a>01696         <a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)=0.000001;
    1796. 

  1796. <a name="l01697"></a>01697 
    1797. 

  1797. <a name="l01698"></a>01698         <a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>*=0.0;
    1798. 

  1798. <a name="l01699"></a>01699 
    1799. 

  1799. <a name="l01700"></a>01700         <span class="comment">// build the material matrix</span>
    1800. 

  1800. <a name="l01701"></a>01701         <a class="code" href="classmatrixRdWtStaticSqr__Data.html">matrixRdWtStaticSqr_Data&lt;double,6&gt;</a> matlMatrix;
    1801. 

  1801. <a name="l01702"></a>01702         <span class="comment">// This is an orthotropic material matrix</span>
    1802. 

  1802. <a name="l01703"></a>01703         <span class="keywordtype">double</span> E1=40200.0e6;
    1803. 

  1803. <a name="l01704"></a>01704         <span class="keywordtype">double</span> E2=10057.0e6;
    1804. 

  1804. <a name="l01705"></a>01705         <span class="keywordtype">double</span> E3=10057.0e6;
    1805. 

  1805. <a name="l01706"></a>01706         <span class="keywordtype">double</span> v12=0.256;
    1806. 

  1806. <a name="l01707"></a>01707         <span class="keywordtype">double</span> v13=0.256;
    1807. 

  1807. <a name="l01708"></a>01708         <span class="keywordtype">double</span> v23=0.274;
    1808. 

  1808. <a name="l01709"></a>01709         <span class="keywordtype">double</span> G12=5667.0e6;
    1809. 

  1809. <a name="l01710"></a>01710         <span class="keywordtype">double</span> G13=5667.0e6;
    1810. 

  1810. <a name="l01711"></a>01711         <span class="keywordtype">double</span> G23=3948.0e6;
    1811. 

  1811. <a name="l01712"></a>01712         <span class="comment">// now lets derive the other poisson ratios</span>
    1812. 

  1812. <a name="l01713"></a>01713         <span class="keywordtype">double</span> v21=v12*E2/E1;
    1813. 

  1813. <a name="l01714"></a>01714         <span class="keywordtype">double</span> v31=v13*E3/E1;
    1814. 

  1814. <a name="l01715"></a>01715         <span class="keywordtype">double</span> v32=v23*E3/E2;
    1815. 

  1815. <a name="l01716"></a>01716         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;6;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1816. 

  1816. <a name="l01717"></a>01717         {
    1817. 

  1817. <a name="l01718"></a>01718                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;6;j++)
    1818. 

  1818. <a name="l01719"></a>01719                 {
    1819. 

  1819. <a name="l01720"></a>01720                         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1820. 

  1820. <a name="l01721"></a>01721                 }
    1821. 

  1821. <a name="l01722"></a>01722         }
    1822. 

  1822. <a name="l01723"></a>01723         <span class="keywordtype">double</span> desc=(1.0-v12*v21-v13*v31-v23*v32-2.0*v12*v23*v31)/(E1*E2*E3);
    1823. 

  1823. <a name="l01724"></a>01724 
    1824. 

  1824. <a name="l01725"></a>01725         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)=(1.0-v23*v32)/(E2*E3*desc);
    1825. 

  1825. <a name="l01726"></a>01726         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1)=(v21+v31*v23)/(E2*E3*desc);
    1826. 

  1826. <a name="l01727"></a>01727         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,2)=(v31+v21*v32)/(E2*E3*desc);
    1827. 

  1827. <a name="l01728"></a>01728         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)=(v12+v13*v32)/(E1*E3*desc);
    1828. 

  1828. <a name="l01729"></a>01729         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)=(1.0-v31*v13)/(E1*E3*desc);
    1829. 

  1829. <a name="l01730"></a>01730         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,2)=(v32+v31*v12)/(E1*E3*desc);
    1830. 

  1830. <a name="l01731"></a>01731         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,0)=(v13+v12*v23)/(E1*E2*desc);
    1831. 

  1831. <a name="l01732"></a>01732         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1)=(v23+v13*v21)/(E1*E2*desc);
    1832. 

  1832. <a name="l01733"></a>01733         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,2)=(1.0-v12*v21)/(E1*E2*desc);
    1833. 

  1833. <a name="l01734"></a>01734         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3,3)=2.0*G23;
    1834. 

  1834. <a name="l01735"></a>01735         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(4,4)=2.0*G13;
    1835. 

  1835. <a name="l01736"></a>01736         matlMatrix.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(5,5)=2.0*G12;
    1836. 

  1836. <a name="l01737"></a>01737 
    1837. 

  1837. <a name="l01738"></a>01738         <a class="code" href="timoshenko_8cpp.html#a488a005f6c18cfe6a45f0dab98134def">material</a>=matlMatrix;
    1838. 

  1838. <a name="l01739"></a>01739 
    1839. 

  1839. <a name="l01740"></a>01740 <span class="comment">//      double nu=0.3;</span>
    1840. 

  1840. <a name="l01741"></a>01741 <span class="comment">//      double E=200e9;</span>
    1841. 

  1841. <a name="l01742"></a>01742 <span class="comment">//      double matlScl=E/((1.0+nu)*(1.0-2.0*nu));</span>
    1842. 

  1842. <a name="l01743"></a>01743 
    1843. 

  1843. <a name="l01744"></a>01744 <span class="comment">//      material.resize(6);</span>
    1844. 

  1844. <a name="l01745"></a>01745 <span class="comment">// </span>
    1845. 

  1845. <a name="l01746"></a>01746 <span class="comment">//      material.entry(0,0)=matlScl*(1.0-nu);                   material.entry(0,1)=matlScl*nu;                                 material.entry(0,2)=matlScl*nu;</span>
    1846. 

  1846. <a name="l01747"></a>01747 <span class="comment">//      material.entry(1,0)=matlScl*nu;                                 material.entry(1,1)=matlScl*(1.0-nu);                   material.entry(1,2)=matlScl*nu;</span>
    1847. 

  1847. <a name="l01748"></a>01748 <span class="comment">//      material.entry(2,0)=matlScl*nu;                                 material.entry(2,1)=matlScl*nu;                                 material.entry(2,2)=matlScl*(1.0-nu);</span>
    1848. 

  1848. <a name="l01749"></a>01749 <span class="comment">// </span>
    1849. 

  1849. <a name="l01750"></a>01750 <span class="comment">//      material.entry(0,3)=0.0;                                                material.entry(0,4)=0.0;                                                material.entry(0,5)=0.0;</span>
    1850. 

  1850. <a name="l01751"></a>01751 <span class="comment">//      material.entry(1,3)=0.0;                                                material.entry(1,4)=0.0;                                                material.entry(1,5)=0.0;</span>
    1851. 

  1851. <a name="l01752"></a>01752 <span class="comment">//      material.entry(2,3)=0.0;                                                material.entry(2,4)=0.0;                                                material.entry(2,5)=0.0;</span>
    1852. 

  1852. <a name="l01753"></a>01753 <span class="comment">// </span>
    1853. 

  1853. <a name="l01754"></a>01754 <span class="comment">//      material.entry(3,0)=0.0;                                                material.entry(3,1)=0.0;                                                material.entry(3,2)=0.0;</span>
    1854. 

  1854. <a name="l01755"></a>01755 <span class="comment">//      material.entry(4,0)=0.0;                                                material.entry(4,1)=0.0;                                                material.entry(4,2)=0.0;</span>
    1855. 

  1855. <a name="l01756"></a>01756 <span class="comment">//      material.entry(5,0)=0.0;                                                material.entry(5,1)=0.0;                                                material.entry(5,2)=0.0;</span>
    1856. 

  1856. <a name="l01757"></a>01757 <span class="comment">// </span>
    1857. 

  1857. <a name="l01758"></a>01758 <span class="comment">//      material.entry(3,3)=matlScl*0.5*(1.0-2.0*nu);   material.entry(3,4)=0.0;                                                material.entry(3,5)=0.0;</span>
    1858. 

  1858. <a name="l01759"></a>01759 <span class="comment">//      material.entry(4,3)=0.0;                                                material.entry(4,4)=matlScl*0.5*(1.0-2.0*nu);   material.entry(4,5)=0.0;</span>
    1859. 

  1859. <a name="l01760"></a>01760 <span class="comment">//      material.entry(5,3)=0.0;                                                material.entry(5,4)=0.0;                                                material.entry(5,5)=matlScl*0.5*(1.0-2.0*nu);</span>
    1860. 

  1860. <a name="l01761"></a>01761 
    1861. 

  1861. <a name="l01762"></a>01762         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The material Matrix&quot;</span> &lt;&lt; endl;
    1862. 

  1862. <a name="l01763"></a>01763         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a488a005f6c18cfe6a45f0dab98134def">material</a>);
    1863. 

  1863. <a name="l01764"></a>01764 
    1864. 

  1864. <a name="l01765"></a>01765         <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWtSzSqr.html#a1f0f3c7f3e70503a72135a46c1706aba">resize</a>(6);
    1865. 

  1865. <a name="l01766"></a>01766 
    1866. 

  1866. <a name="l01767"></a>01767         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;6;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    1867. 

  1867. <a name="l01768"></a>01768         {
    1868. 

  1868. <a name="l01769"></a>01769                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;6;j++)
    1869. 

  1869. <a name="l01770"></a>01770                         <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    1870. 

  1870. <a name="l01771"></a>01771         }
    1871. 

  1871. <a name="l01772"></a>01772 
    1872. 

  1872. <a name="l01773"></a>01773         <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,0)=1.0;
    1873. 

  1873. <a name="l01774"></a>01774         <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,3)=1.0;
    1874. 

  1874. <a name="l01775"></a>01775         <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,5)=1.0;
    1875. 

  1875. <a name="l01776"></a>01776         <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,1)=1.0;
    1876. 

  1876. <a name="l01777"></a>01777         <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,2)=1.0;
    1877. 

  1877. <a name="l01778"></a>01778         <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,4)=1.0;
    1878. 

  1878. <a name="l01779"></a>01779 
    1879. 

  1879. <a name="l01780"></a>01780         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The permutation Matrix&quot;</span> &lt;&lt; endl;
    1880. 

  1880. <a name="l01781"></a>01781         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>);
    1881. 

  1881. <a name="l01782"></a>01782 
    1882. 

  1882. <a name="l01783"></a>01783         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The permutation.T()*permutation Matrix&quot;</span> &lt;&lt; endl;
    1883. 

  1883. <a name="l01784"></a>01784         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*<a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>);
    1884. 

  1884. <a name="l01785"></a>01785 
    1885. 

  1885. <a name="l01786"></a>01786         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The permutation.T()*material*permutation Matrix&quot;</span> &lt;&lt; endl;
    1886. 

  1886. <a name="l01787"></a>01787         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*<a class="code" href="timoshenko_8cpp.html#a488a005f6c18cfe6a45f0dab98134def">material</a>*<a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>);
    1887. 

  1887. <a name="l01788"></a>01788 
    1888. 

  1888. <a name="l01789"></a>01789         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> cnt;
    1889. 

  1889. <a name="l01790"></a>01790         <span class="keywordflow">if</span>(argc&gt;1)
    1890. 

  1890. <a name="l01791"></a>01791         {
    1891. 

  1891. <a name="l01792"></a>01792                 cnt=atol(argv[1]);
    1892. 

  1892. <a name="l01793"></a>01793                 <span class="keywordflow">if</span>(cnt&lt;=0)
    1893. 

  1893. <a name="l01794"></a>01794                 {
    1894. 

  1894. <a name="l01795"></a>01795                         cout &lt;&lt; <span class="stringliteral">&quot;Please give a positive integer as the first argument for the size&quot;</span> &lt;&lt; endl;
    1895. 

  1895. <a name="l01796"></a>01796                         <span class="keywordflow">return</span> 1;
    1896. 

  1896. <a name="l01797"></a>01797                 }
    1897. 

  1897. <a name="l01798"></a>01798         }
    1898. 

  1898. <a name="l01799"></a>01799         <span class="keywordflow">else</span>
    1899. 

  1899. <a name="l01800"></a>01800         {
    1900. 

  1900. <a name="l01801"></a>01801                 cnt=1;
    1901. 

  1901. <a name="l01802"></a>01802         }
    1902. 

  1902. <a name="l01803"></a>01803 
    1903. 

  1903. <a name="l01804"></a>01804         <a class="code" href="timoshenko_8cpp.html#a858c3bcdde49062e37eb091ec5fd0903">buildModel</a>(cnt);
    1904. 

  1904. <a name="l01805"></a>01805         <a class="code" href="timoshenko_8cpp.html#aed382645bcc4f3f48b417906879fcefd">buildCommon</a>();
    1905. 

  1905. <a name="l01806"></a>01806         <a class="code" href="timoshenko_8cpp.html#a11efde658c4122f274ddc81ebac475b3">firstVabs</a>();
    1906. 

  1906. <a name="l01807"></a>01807         <a class="code" href="timoshenko_8cpp.html#ade8c5329b4ba60e9d2fefe15ac3cdbd7">secondVabs</a>();
    1907. 

  1907. <a name="l01808"></a>01808         <a class="code" href="timoshenko_8cpp.html#a9b0062599d085bce366a3d549fd9ce4f">timoshenkoTransform</a>();
    1908. 

  1908. <a name="l01809"></a>01809 
    1909. 

  1909. <a name="l01810"></a>01810         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The X Matrix&quot;</span> &lt;&lt; endl;
    1910. 

  1910. <a name="l01811"></a>01811         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a838a996015778bc0a1cd42951d343f39">XSoln</a>);
    1911. 

  1911. <a name="l01812"></a>01812         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Y Matrix&quot;</span> &lt;&lt; endl;
    1912. 

  1912. <a name="l01813"></a>01813         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#a7e5e4e7714d5989985d85f0ae383b9df">YSoln</a>);
    1913. 

  1913. <a name="l01814"></a>01814         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The G Matrix&quot;</span> &lt;&lt; endl;
    1914. 

  1914. <a name="l01815"></a>01815         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<a class="code" href="timoshenko_8cpp.html#ab3d457ebe89f1bbd370a529bbab0e9bc">GSoln</a>);
    1915. 

  1915. <a name="l01816"></a>01816 
    1916. 

  1916. <a name="l01817"></a>01817         <span class="keywordflow">return</span> 0;
    1917. 

  1917. <a name="l01818"></a>01818 }
    1918. 

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