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  97. <div class="title">structural/CAD_Calc/source/ver_1/meshSudo.cpp</div>  </div>
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  99. <div class="contents">
    100. 

  100. <a href="meshSudo_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="preprocessor">#include &lt;vector&gt;</span>
    102. 

  102. <a name="l00003"></a>00003 <span class="preprocessor">#include &lt;list&gt;</span>
    103. 

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

  104. <a name="l00005"></a>00005 <span class="comment">// #include &quot;geom.h&quot;</span>
    105. 

  105. <a name="l00006"></a>00006 <span class="comment">// #include &quot;matrix/matrixClass.h&quot;</span>
    106. 

  106. <a name="l00007"></a>00007 <span class="comment">// #include &quot;/home/mike/work/UVic/NonlinearBeam/VABS_Calc/source/ver_2/material.cpp&quot;</span>
    107. 

  107. <a name="l00008"></a>00008 <span class="comment">// #include &quot;../../../matrix_Solver/source/ver_1/matrixSolverSudo.cpp&quot;</span>
    108. 

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

  109. <a name="l00010"></a>00010 <span class="comment">// #include &quot;curveOffsetSudo.cpp&quot;</span>
    110. 

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

  111. <a name="l00012"></a>00012 <span class="preprocessor">#ifndef PI_VALUE</span>
    112. 

  112. <a name="l00013"></a><a class="code" href="meshSudo_8cpp.html#a6b7092bccd226a790f3fd4cd6c29419e">00013</a> <span class="preprocessor"></span><span class="preprocessor">#define PI_VALUE</span>
    113. 

  113. <a name="l00014"></a><a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">00014</a> <span class="preprocessor"></span><span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>=3.14159265358979323846264338327950288419716939937510;
    114. 

  114. <a name="l00015"></a>00015 <span class="preprocessor">#endif</span>
    115. 

  115. <a name="l00016"></a>00016 <span class="preprocessor"></span>
    116. 

  116. <a name="l00017"></a>00017 <span class="comment">// lets say there is a curve</span>
    117. 

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

  118. <a name="l00019"></a>00019 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    119. 

  119. <a name="l00020"></a><a class="code" href="classcurvePointData.html">00020</a> <span class="keyword">class </span><a class="code" href="classcurvePointData.html">curvePointData</a>
    120. 

  120. <a name="l00021"></a>00021 {
    121. 

  121. <a name="l00022"></a>00022         <span class="keyword">public</span>:
    122. 

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

  123. <a name="l00024"></a><a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">00024</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>;
    124. 

  124. <a name="l00025"></a><a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">00025</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>;
    125. 

  125. <a name="l00026"></a><a class="code" href="classcurvePointData.html#a8a6d5fff4e06528adf91c68e285a1edb">00026</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcurvePointData.html#a8a6d5fff4e06528adf91c68e285a1edb">sEstimate</a>; <span class="comment">// In the case of intersection-defined, this s value does not necessisarily correspond to position</span>
    126. 

  126. <a name="l00027"></a>00027 
    127. 

  127. <a name="l00028"></a><a class="code" href="classcurvePointData.html#ac7e4603f4659413fa219a99e9c18c84f">00028</a>                 <a class="code" href="classcurvePointData.html#ac7e4603f4659413fa219a99e9c18c84f">curvePointData</a>(<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> position_in=<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(0.0,0.0),<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> angle_in=0.0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sEstimate_in=0.0) : <a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>(position_in) , <a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>(angle_in) , <a class="code" href="classcurvePointData.html#a8a6d5fff4e06528adf91c68e285a1edb">sEstimate</a>(sEstimate_in)
    128. 

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

  129. <a name="l00030"></a>00030 };
    130. 

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

  131. <a name="l00032"></a>00032 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    132. 

  132. <a name="l00033"></a><a class="code" href="classcurve.html">00033</a> <span class="keyword">class </span><a class="code" href="classcurve.html">curve</a>
    133. 

  133. <a name="l00034"></a>00034 {
    134. 

  134. <a name="l00035"></a>00035         <span class="keyword">public</span>:
    135. 

  135. <a name="l00036"></a>00036 
    136. 

  136. <a name="l00037"></a><a class="code" href="classcurve.html#a2fefa3279b926e63336b8ce5a21cc7a0">00037</a>                 <a class="code" href="classcurve.html#a2fefa3279b926e63336b8ce5a21cc7a0">curve</a>()
    137. 

  137. <a name="l00038"></a>00038                 {}
    138. 

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

  139. <a name="l00040"></a><a class="code" href="classcurve.html#ad11809ad614ce3993d3bc2d2ebfba16e">00040</a>                 <span class="keyword">virtual</span> <a class="code" href="classcurve.html#ad11809ad614ce3993d3bc2d2ebfba16e">~curve</a>()
    140. 

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

  141. <a name="l00042"></a>00042 
    142. 

  142. <a name="l00043"></a>00043                 <span class="comment">// methods for meshing </span>
    143. 

  143. <a name="l00044"></a>00044                 <span class="keyword">virtual</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve.html#ad8e2c2bf619816412eafb5bd8f9dd260">getPosition</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s) <span class="keyword">const</span>=0;
    144. 

  144. <a name="l00045"></a>00045                 <span class="keyword">virtual</span> <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> <a class="code" href="classcurve.html#a92ca2b6aada5dfea9dab8c6ccbc98ab7">getPointData</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s) <span class="keyword">const</span>=0;
    145. 

  145. <a name="l00046"></a>00046                 <span class="keyword">virtual</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve.html#aabb98878481aad1c84b1b2e9d6b0b5c0">intersectFirst</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg) <span class="keyword">const</span>=0;
    146. 

  146. <a name="l00047"></a>00047                 <span class="keyword">virtual</span> <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> <a class="code" href="classcurve.html#a0f79a2d3330cfc9b6a69ff6e65e0e4b4">intersectFirstData</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg) <span class="keyword">const</span>=0;
    147. 

  147. <a name="l00048"></a>00048                 <span class="keyword">virtual</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve.html#ac8f7c771e200d407cf8785109039d916">intersectAverage</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg) <span class="keyword">const</span>=0;
    148. 

  148. <a name="l00049"></a>00049                 <span class="keyword">virtual</span> <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> <a class="code" href="classcurve.html#a0a2abad5b19cd97af4faaf5d935c6bfc">intersectAverageData</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg) <span class="keyword">const</span>=0;
    149. 

  149. <a name="l00050"></a>00050 
    150. 

  150. <a name="l00051"></a>00051                 <span class="comment">// this is other info... this gives the local jacobian for the curve</span>
    151. 

  151. <a name="l00052"></a>00052                 <span class="keyword">virtual</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcurve.html#ae2d18100cf0cba91b7f9c92e85ba62da">jacobian</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s) <span class="keyword">const</span> =0;
    152. 

  152. <a name="l00053"></a>00053                 <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classcurve.html#af06f868b6a21971365a2475e943534d2">boundingBox</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xMin,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yMin,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xMax,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yMax) <span class="keyword">const</span> =0;
    153. 

  153. <a name="l00054"></a>00054 };
    154. 

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

  155. <a name="l00056"></a>00056 <span class="comment">// This is the data at a node that is specific to the element</span>
    156. 

  156. <a name="l00057"></a>00057 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    157. 

  157. <a name="l00058"></a><a class="code" href="classelementNodeData.html">00058</a> <span class="keyword">class </span><a class="code" href="classelementNodeData.html">elementNodeData</a>
    158. 

  158. <a name="l00059"></a>00059 {
    159. 

  159. <a name="l00060"></a>00060         <span class="keyword">public</span>:
    160. 

  160. <a name="l00061"></a>00061 
    161. 

  161. <a name="l00062"></a><a class="code" href="classelementNodeData.html#a9cec7bd5b4047a5ee409fb0ebd5c29e6">00062</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classelementNodeData.html#a9cec7bd5b4047a5ee409fb0ebd5c29e6">angle</a>;
    162. 

  162. <a name="l00063"></a><a class="code" href="classelementNodeData.html#aacb362ba67e9fb454bc8e3b4a7cad3b1">00063</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classelementNodeData.html#aacb362ba67e9fb454bc8e3b4a7cad3b1">h_over_H</a>;
    163. 

  163. <a name="l00064"></a>00064 
    164. 

  164. <a name="l00065"></a><a class="code" href="classelementNodeData.html#a5af10523acff82a18324a2945ea2d23a">00065</a>                 <a class="code" href="classelementNodeData.html#a5af10523acff82a18324a2945ea2d23a">elementNodeData</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> angle_in=0.0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h_over_H_in=0.5) : <a class="code" href="classelementNodeData.html#a9cec7bd5b4047a5ee409fb0ebd5c29e6">angle</a>(angle_in) , <a class="code" href="classelementNodeData.html#aacb362ba67e9fb454bc8e3b4a7cad3b1">h_over_H</a>(h_over_H_in)
    165. 

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

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

  167. <a name="l00068"></a><a class="code" href="classelementNodeData.html#ab52fe67211176420a5737b87aaa96c35">00068</a>                 <a class="code" href="classelementNodeData.html#a5af10523acff82a18324a2945ea2d23a">elementNodeData</a>(<span class="keyword">const</span> <a class="code" href="classelementNodeData.html">elementNodeData&lt;dataType&gt;</a>&amp; asg) : <a class="code" href="classelementNodeData.html#a9cec7bd5b4047a5ee409fb0ebd5c29e6">angle</a>(asg.<a class="code" href="classelementNodeData.html#a9cec7bd5b4047a5ee409fb0ebd5c29e6">angle</a>) , <a class="code" href="classelementNodeData.html#aacb362ba67e9fb454bc8e3b4a7cad3b1">h_over_H</a>(asg.<a class="code" href="classelementNodeData.html#aacb362ba67e9fb454bc8e3b4a7cad3b1">h_over_H</a>)
    168. 

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

  169. <a name="l00070"></a>00070 
    170. 

  170. <a name="l00071"></a><a class="code" href="classelementNodeData.html#ae7c95168cae355fb509223df2546392b">00071</a>                 <a class="code" href="classelementNodeData.html">elementNodeData&lt;dataType&gt;</a>&amp; <a class="code" href="classelementNodeData.html#ae7c95168cae355fb509223df2546392b">operator=</a>(<span class="keyword">const</span> <a class="code" href="classelementNodeData.html">elementNodeData&lt;dataType&gt;</a>&amp; asg)
    171. 

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

  172. <a name="l00073"></a>00073                         <span class="keywordflow">if</span>(<span class="keyword">this</span>==&amp;asg)
    173. 

  173. <a name="l00074"></a>00074                                 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    174. 

  174. <a name="l00075"></a>00075 
    175. 

  175. <a name="l00076"></a>00076                          this-&gt;<a class="code" href="classelementNodeData.html#a9cec7bd5b4047a5ee409fb0ebd5c29e6">angle</a>=asg.<a class="code" href="classelementNodeData.html#a9cec7bd5b4047a5ee409fb0ebd5c29e6">angle</a>;
    176. 

  176. <a name="l00077"></a>00077                          this-&gt;<a class="code" href="classelementNodeData.html#aacb362ba67e9fb454bc8e3b4a7cad3b1">h_over_H</a>=asg.<a class="code" href="classelementNodeData.html#aacb362ba67e9fb454bc8e3b4a7cad3b1">h_over_H</a>;
    177. 

  177. <a name="l00078"></a>00078                          <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    178. 

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

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

  180. <a name="l00081"></a>00081 
    181. 

  181. <a name="l00082"></a>00082 <span class="comment">// a node is merely a planePoint with some additional information</span>
    182. 

  182. <a name="l00083"></a>00083 <span class="comment">// that information could be the data that was used to generate the position</span>
    183. 

  183. <a name="l00084"></a>00084 <span class="comment">// other information could be the the through thickness position</span>
    184. 

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

  185. <a name="l00086"></a>00086 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    186. 

  186. <a name="l00087"></a>00087 <span class="keyword">class </span><a class="code" href="classcxNode.html">cxNode</a>;
    187. 

  187. <a name="l00088"></a>00088 
    188. 

  188. <a name="l00089"></a>00089 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt; 
    189. 

  189. <a name="l00090"></a>00090 std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out,const cxNode&lt;dataType&gt;&amp; nd);
    190. 

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

  191. <a name="l00092"></a>00092 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    192. 

  192. <a name="l00093"></a><a class="code" href="classcxNode.html">00093</a> <span class="keyword">class </span><a class="code" href="classcxNode.html">cxNode</a> : <span class="keyword">public</span> <a class="code" href="classplanePoint.html">planePoint</a>&lt;dataType&gt;
    193. 

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

  194. <a name="l00095"></a>00095                 <span class="keyword">template</span>&lt;<span class="keyword">class</span> funcType&gt; <span class="keyword">friend</span> std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out,const cxNode&lt;funcType&gt;&amp; nd);
    195. 

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

  196. <a name="l00097"></a>00097         <span class="keyword">public</span>:
    197. 

  197. <a name="l00098"></a>00098 
    198. 

  198. <a name="l00099"></a><a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">00099</a>                 std::vector&lt;elementNodeData&lt;dataType&gt; &gt; <a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>;
    199. 

  199. <a name="l00100"></a>00100 
    200. 

  200. <a name="l00101"></a><a class="code" href="classcxNode.html#a9e88ae7a2f01abc7854f9382d3718714">00101</a>                 <a class="code" href="classcxNode.html#a9e88ae7a2f01abc7854f9382d3718714">cxNode</a>() : <a class="code" href="classplanePoint.html">planePoint</a>&lt;<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&gt;(0.0,0.0) , <a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>(0)
    201. 

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

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

  203. <a name="l00104"></a><a class="code" href="classcxNode.html#a6c86dba345b617cac4b392d8762b0796">00104</a>                 <a class="code" href="classcxNode.html#a9e88ae7a2f01abc7854f9382d3718714">cxNode</a>(<span class="keyword">const</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>&amp; pnt,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> angle_in=0.0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h_over_H_in=0.5) : <a class="code" href="classplanePoint.html">planePoint</a>&lt;<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&gt;(pnt) , <a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>(1,<a class="code" href="classelementNodeData.html">elementNodeData</a>&lt;<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&gt;(angle_in,h_over_H_in))
    204. 

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

  205. <a name="l00106"></a>00106 
    206. 

  206. <a name="l00107"></a><a class="code" href="classcxNode.html#a5d3523f55966fc3377b836e41b3ca92b">00107</a>                 <a class="code" href="classcxNode.html#a9e88ae7a2f01abc7854f9382d3718714">cxNode</a>(<span class="keyword">const</span> <a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>&amp; asg) : <a class="code" href="classplanePoint.html">planePoint</a>&lt;<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&gt;(asg) , <a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>(asg.<a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>)
    207. 

  207. <a name="l00108"></a>00108                 {}
    208. 

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

  209. <a name="l00110"></a><a class="code" href="classcxNode.html#a3015220a4e4dd70eb7a55d2d941edd88">00110</a>                 <a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>&amp; <a class="code" href="classcxNode.html#a3015220a4e4dd70eb7a55d2d941edd88">operator=</a>(<span class="keyword">const</span> <a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>&amp; asg)
    210. 

  210. <a name="l00111"></a>00111                 {
    211. 

  211. <a name="l00112"></a>00112                         <span class="keywordflow">if</span>(<span class="keyword">this</span>==&amp;asg)
    212. 

  212. <a name="l00113"></a>00113                                 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    213. 

  213. <a name="l00114"></a>00114 
    214. 

  214. <a name="l00115"></a>00115                         <a class="code" href="classcxNode.html#a3015220a4e4dd70eb7a55d2d941edd88">planePoint&lt;dataType&gt;::operator=</a>(asg);
    215. 

  215. <a name="l00116"></a>00116                         this-&gt;<a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>=asg.<a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>;
    216. 

  216. <a name="l00117"></a>00117                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    217. 

  217. <a name="l00118"></a>00118                 }
    218. 

  218. <a name="l00119"></a>00119 
    219. 

  219. <a name="l00120"></a><a class="code" href="classcxNode.html#a6f5a603ffa25e0b9092734efedb753ab">00120</a>                 <span class="keywordtype">bool</span> <a class="code" href="classcxNode.html#a6f5a603ffa25e0b9092734efedb753ab">samePoint</a>(<span class="keyword">const</span> <a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>&amp; nd)<span class="keyword"> const</span>
    220. 

  220. <a name="l00121"></a>00121 <span class="keyword">                </span>{
    221. 

  221. <a name="l00122"></a>00122                         <span class="keywordflow">return</span> this-&gt;<a class="code" href="classplanePoint.html#a66e9d183e41dfade635e77291110d014">planePoint&lt;dataType&gt;::operator==</a>(nd);
    222. 

  222. <a name="l00123"></a>00123                 }
    223. 

  223. <a name="l00124"></a>00124 
    224. 

  224. <a name="l00125"></a><a class="code" href="classcxNode.html#a7ae40410458533ab40f196c3ec019eba">00125</a>                 <a class="code" href="classelementNodeData.html">elementNodeData&lt;dataType&gt;</a>&amp; <a class="code" href="classcxNode.html#a7ae40410458533ab40f196c3ec019eba">getNodeData</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at)
    225. 

  225. <a name="l00126"></a>00126                 {
    226. 

  226. <a name="l00127"></a>00127                         <span class="keywordflow">if</span>(at&gt;=<a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>.size())
    227. 

  227. <a name="l00128"></a>00128                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;cxNode::getNodeData(): The requested data does not exist&quot;</span>);
    228. 

  228. <a name="l00129"></a>00129                         <span class="keywordflow">return</span> <a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>[at];
    229. 

  229. <a name="l00130"></a>00130                 }
    230. 

  230. <a name="l00131"></a>00131 
    231. 

  231. <a name="l00132"></a><a class="code" href="classcxNode.html#abd25fb89eb6ee8bac053a5699f604ce9">00132</a>                 <span class="keyword">const</span> <a class="code" href="classelementNodeData.html">elementNodeData&lt;dataType&gt;</a>&amp; <a class="code" href="classcxNode.html#a7ae40410458533ab40f196c3ec019eba">getNodeData</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at)<span class="keyword"> const</span>
    232. 

  232. <a name="l00133"></a>00133 <span class="keyword">                </span>{
    233. 

  233. <a name="l00134"></a>00134                         <span class="keywordflow">if</span>(at&gt;=<a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>.size())
    234. 

  234. <a name="l00135"></a>00135                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;cxNode::getNodeData(): The requested data does not exist&quot;</span>);
    235. 

  235. <a name="l00136"></a>00136                         <span class="keywordflow">return</span> <a class="code" href="classcxNode.html#aae1886fc55db8932da99d39830ba0743">nodeData</a>[at];
    236. 

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

  237. <a name="l00138"></a>00138 };
    238. 

  238. <a name="l00139"></a>00139 
    239. 

  239. <a name="l00140"></a><a class="code" href="classelementNodeHandle.html">00140</a> <span class="keyword">class </span><a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>
    240. 

  240. <a name="l00141"></a>00141 {
    241. 

  241. <a name="l00142"></a>00142         <span class="keyword">public</span>:
    242. 

  242. <a name="l00143"></a>00143 
    243. 

  243. <a name="l00144"></a><a class="code" href="classelementNodeHandle.html#a3e3f124ec2e48db9bc07c5c966a2f1c4">00144</a>                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classelementNodeHandle.html#a3e3f124ec2e48db9bc07c5c966a2f1c4">nodeID</a>;
    244. 

  244. <a name="l00145"></a><a class="code" href="classelementNodeHandle.html#a0097e445a2e681a288ee5249e7fad412">00145</a>                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classelementNodeHandle.html#a0097e445a2e681a288ee5249e7fad412">dataID</a>;
    245. 

  245. <a name="l00146"></a>00146 
    246. 

  246. <a name="l00147"></a><a class="code" href="classelementNodeHandle.html#a94e331ce51b73bdf5fbbc741cb2ca5b6">00147</a>                 <a class="code" href="classelementNodeHandle.html#a94e331ce51b73bdf5fbbc741cb2ca5b6">elementNodeHandle</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> nodeID_in=0,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> dataID_in=0) : <a class="code" href="classelementNodeHandle.html#a3e3f124ec2e48db9bc07c5c966a2f1c4">nodeID</a>(nodeID_in) , <a class="code" href="classelementNodeHandle.html#a0097e445a2e681a288ee5249e7fad412">dataID</a>(dataID_in)
    247. 

  247. <a name="l00148"></a>00148                 {}
    248. 

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

  249. <a name="l00150"></a><a class="code" href="classelementNodeHandle.html#a8dee7599f0af41e9a1a1e09bed931211">00150</a>                 <a class="code" href="classelementNodeHandle.html#a94e331ce51b73bdf5fbbc741cb2ca5b6">elementNodeHandle</a>(<span class="keyword">const</span> <a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>&amp; asg) : <a class="code" href="classelementNodeHandle.html#a3e3f124ec2e48db9bc07c5c966a2f1c4">nodeID</a>(asg.<a class="code" href="classelementNodeHandle.html#a3e3f124ec2e48db9bc07c5c966a2f1c4">nodeID</a>) , <a class="code" href="classelementNodeHandle.html#a0097e445a2e681a288ee5249e7fad412">dataID</a>(asg.<a class="code" href="classelementNodeHandle.html#a0097e445a2e681a288ee5249e7fad412">dataID</a>)
    250. 

  250. <a name="l00151"></a>00151                 {}
    251. 

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

  252. <a name="l00153"></a><a class="code" href="classelementNodeHandle.html#ac61760b946f4107c882f61a39abee6e1">00153</a>                 <a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>&amp; <a class="code" href="classelementNodeHandle.html#ac61760b946f4107c882f61a39abee6e1">operator=</a>(<span class="keyword">const</span> <a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>&amp; asg)
    253. 

  253. <a name="l00154"></a>00154                 {
    254. 

  254. <a name="l00155"></a>00155                         <span class="keywordflow">if</span>(<span class="keyword">this</span>==&amp;asg)
    255. 

  255. <a name="l00156"></a>00156                                 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    256. 

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

  257. <a name="l00158"></a>00158                         this-&gt;<a class="code" href="classelementNodeHandle.html#a3e3f124ec2e48db9bc07c5c966a2f1c4">nodeID</a>=asg.<a class="code" href="classelementNodeHandle.html#a3e3f124ec2e48db9bc07c5c966a2f1c4">nodeID</a>;
    258. 

  258. <a name="l00159"></a>00159                         this-&gt;<a class="code" href="classelementNodeHandle.html#a0097e445a2e681a288ee5249e7fad412">dataID</a>=asg.<a class="code" href="classelementNodeHandle.html#a0097e445a2e681a288ee5249e7fad412">dataID</a>;
    259. 

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

  260. <a name="l00161"></a>00161                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    261. 

  261. <a name="l00162"></a>00162                 }
    262. 

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

  263. <a name="l00164"></a>00164 
    264. 

  264. <a name="l00165"></a>00165 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    265. 

  265. <a name="l00166"></a><a class="code" href="meshSudo_8cpp.html#ac2f9ab84e640002c0ca810c3ef39e4b8">00166</a> std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out,const cxNode&lt;dataType&gt;&amp; nd)
    266. 

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

  267. <a name="l00168"></a>00168         out &lt;&lt; nd.x &lt;&lt; <span class="charliteral">&#39;\t&#39;</span> &lt;&lt; nd.y &lt;&lt; std::endl;
    268. 

  268. <a name="l00169"></a>00169         <span class="keywordflow">return</span> out;
    269. 

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

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

  271. <a name="l00172"></a>00172 <span class="comment">// an element has four handles to nodes</span>
    272. 

  272. <a name="l00173"></a>00173 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    273. 

  273. <a name="l00174"></a><a class="code" href="classelement.html">00174</a> <span class="keyword">class </span><a class="code" href="classelement.html">element</a>
    274. 

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

  275. <a name="l00176"></a>00176         <span class="keyword">public</span>:
    276. 

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

  277. <a name="l00178"></a><a class="code" href="classelement.html#a2ad20d89339c633be50d1280e5af6ec0">00178</a>                 std::vector&lt;elementNodeHandle&gt; <a class="code" href="classelement.html#a2ad20d89339c633be50d1280e5af6ec0">nodeHndl</a>;
    278. 

  278. <a name="l00179"></a><a class="code" href="classelement.html#a17261b8e9cfa2fbd22ad289e75ceb7e7">00179</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classelement.html#a17261b8e9cfa2fbd22ad289e75ceb7e7">material</a>;
    279. 

  279. <a name="l00180"></a>00180 
    280. 

  280. <a name="l00181"></a><a class="code" href="classelement.html#a822e30ccd1311c4f15c25d64b5195030">00181</a>                 <a class="code" href="classelement.html#a822e30ccd1311c4f15c25d64b5195030">element</a>() : <a class="code" href="classelement.html#a2ad20d89339c633be50d1280e5af6ec0">nodeHndl</a>(4,<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>(0,0))
    281. 

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

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

  283. <a name="l00184"></a><a class="code" href="classelement.html#a8bbc6c2c8a520c869c794dd97b1c7a44">00184</a>                 <a class="code" href="classelement.html#a822e30ccd1311c4f15c25d64b5195030">element</a>(<span class="keyword">const</span> <a class="code" href="classelement.html">element</a>&amp; asg) : <a class="code" href="classelement.html#a2ad20d89339c633be50d1280e5af6ec0">nodeHndl</a>(asg.<a class="code" href="classelement.html#a2ad20d89339c633be50d1280e5af6ec0">nodeHndl</a>) , <a class="code" href="classelement.html#a17261b8e9cfa2fbd22ad289e75ceb7e7">material</a>(asg.<a class="code" href="classelement.html#a17261b8e9cfa2fbd22ad289e75ceb7e7">material</a>)
    284. 

  284. <a name="l00185"></a>00185                 {}
    285. 

  285. <a name="l00186"></a>00186 
    286. 

  286. <a name="l00187"></a><a class="code" href="classelement.html#a7cc5580b6d85248f6b56880ce3a1890f">00187</a>                 <a class="code" href="classelement.html">element&lt;dataType&gt;</a>&amp; <a class="code" href="classelement.html#a7cc5580b6d85248f6b56880ce3a1890f">operator=</a>(<span class="keyword">const</span> <a class="code" href="classelement.html">element&lt;dataType&gt;</a>&amp; asg)
    287. 

  287. <a name="l00188"></a>00188                 {
    288. 

  288. <a name="l00189"></a>00189                         <span class="keywordflow">if</span>(<span class="keyword">this</span>==&amp;asg)
    289. 

  289. <a name="l00190"></a>00190                                 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    290. 

  290. <a name="l00191"></a>00191 
    291. 

  291. <a name="l00192"></a>00192                         this-&gt;<a class="code" href="classelement.html#a2ad20d89339c633be50d1280e5af6ec0">nodeHndl</a>=asg.<a class="code" href="classelement.html#a2ad20d89339c633be50d1280e5af6ec0">nodeHndl</a>;
    292. 

  292. <a name="l00193"></a>00193                         this-&gt;<a class="code" href="classelement.html#a17261b8e9cfa2fbd22ad289e75ceb7e7">material</a>=asg.<a class="code" href="classelement.html#a17261b8e9cfa2fbd22ad289e75ceb7e7">material</a>;
    293. 

  293. <a name="l00194"></a>00194 
    294. 

  294. <a name="l00195"></a>00195                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    295. 

  295. <a name="l00196"></a>00196                 }
    296. 

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

  297. <a name="l00198"></a>00198 
    298. 

  298. <a name="l00199"></a>00199 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    299. 

  299. <a name="l00200"></a><a class="code" href="classcxAreaIntProp.html">00200</a> <span class="keyword">class </span><a class="code" href="classcxAreaIntProp.html">cxAreaIntProp</a>
    300. 

  300. <a name="l00201"></a>00201 {
    301. 

  301. <a name="l00202"></a>00202         <span class="keyword">public</span>:
    302. 

  302. <a name="l00203"></a>00203 
    303. 

  303. <a name="l00204"></a><a class="code" href="classcxAreaIntProp.html#a67b3030c37a6dbeac50536489bf29479">00204</a>                 <span class="keyword">virtual</span> <a class="code" href="classcxAreaIntProp.html#a67b3030c37a6dbeac50536489bf29479">~cxAreaIntProp</a>()
    304. 

  304. <a name="l00205"></a>00205                 {}
    305. 

  305. <a name="l00206"></a>00206 
    306. 

  306. <a name="l00207"></a>00207                 <span class="keyword">virtual</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp.html#ae76ad19e1ce32de8d2e1bf268bf1d400">getArea</a>() <span class="keyword">const</span> =0;
    307. 

  307. <a name="l00208"></a>00208                 <span class="keyword">virtual</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp.html#a1853d2f2754d26c6606dd673040086ce">getXBar</a>() <span class="keyword">const</span> =0;
    308. 

  308. <a name="l00209"></a>00209                 <span class="keyword">virtual</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp.html#af788beb81f1f0ff9878fb9d08a43dbad">getYBar</a>() <span class="keyword">const</span> =0;
    309. 

  309. <a name="l00210"></a>00210                 <span class="keyword">virtual</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp.html#a50a912173e153171e535548d1a8255e3">getIxx</a>() <span class="keyword">const</span> =0;
    310. 

  310. <a name="l00211"></a>00211                 <span class="keyword">virtual</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp.html#a5862ae8cd0d0ab1eb6d8c57fcaa9b184">getIxy</a>() <span class="keyword">const</span> =0;
    311. 

  311. <a name="l00212"></a>00212                 <span class="keyword">virtual</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp.html#a76e28c48c914b63d0d981a6279a793cc">getIyy</a>() <span class="keyword">const</span> =0;
    312. 

  312. <a name="l00213"></a>00213 };
    313. 

  313. <a name="l00214"></a>00214 
    314. 

  314. <a name="l00215"></a>00215 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    315. 

  315. <a name="l00216"></a><a class="code" href="classcxAreaIntProp__Data.html">00216</a> <span class="keyword">class </span><a class="code" href="classcxAreaIntProp__Data.html">cxAreaIntProp_Data</a> : <span class="keyword">public</span> <a class="code" href="classcxAreaIntProp.html">cxAreaIntProp</a>&lt;dataType&gt;
    316. 

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

  317. <a name="l00218"></a>00218         <span class="keyword">public</span>:
    318. 

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

  319. <a name="l00220"></a><a class="code" href="classcxAreaIntProp__Data.html#a82c4f4eca875b355a6e29536068e3e6f">00220</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a82c4f4eca875b355a6e29536068e3e6f">area</a>;
    320. 

  320. <a name="l00221"></a><a class="code" href="classcxAreaIntProp__Data.html#ab86f0909c220377d1061b9bf3929d0e7">00221</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#ab86f0909c220377d1061b9bf3929d0e7">xBar</a>;
    321. 

  321. <a name="l00222"></a><a class="code" href="classcxAreaIntProp__Data.html#a63d4dfb4f8b34a79c499168bc16f3a8b">00222</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a63d4dfb4f8b34a79c499168bc16f3a8b">yBar</a>;
    322. 

  322. <a name="l00223"></a><a class="code" href="classcxAreaIntProp__Data.html#a22676e2d1f0237e334098168c81099a2">00223</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a22676e2d1f0237e334098168c81099a2">Ixx</a>;
    323. 

  323. <a name="l00224"></a><a class="code" href="classcxAreaIntProp__Data.html#a7c383866c65e682bc35a6ef77449e7b1">00224</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a7c383866c65e682bc35a6ef77449e7b1">Ixy</a>;
    324. 

  324. <a name="l00225"></a><a class="code" href="classcxAreaIntProp__Data.html#a45805f2d23b775427190a00a4cbf9a9a">00225</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a45805f2d23b775427190a00a4cbf9a9a">Iyy</a>;
    325. 

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

  326. <a name="l00227"></a>00227                 <a class="code" href="classcxAreaIntProp__Data.html#a749abd819f54eb68a73bf75b7ecac0fb">cxAreaIntProp_Data</a>();
    327. 

  327. <a name="l00228"></a>00228                 <a class="code" href="classcxAreaIntProp__Data.html#a749abd819f54eb68a73bf75b7ecac0fb">cxAreaIntProp_Data</a>(<span class="keyword">const</span> <a class="code" href="classcxAreaIntProp__Data.html">cxAreaIntProp_Data&lt;dataType&gt;</a>&amp; asg);
    328. 

  328. <a name="l00229"></a>00229                 <a class="code" href="classcxAreaIntProp__Data.html#a749abd819f54eb68a73bf75b7ecac0fb">cxAreaIntProp_Data</a>(<span class="keyword">const</span> <a class="code" href="classcxAreaIntProp.html">cxAreaIntProp&lt;dataType&gt;</a>&amp; asg);
    329. 

  329. <a name="l00230"></a>00230                 <span class="keyword">virtual</span> <a class="code" href="classcxAreaIntProp__Data.html#a8f950690ea9c19617e08159522631358">~cxAreaIntProp_Data</a>();
    330. 

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

  331. <a name="l00232"></a>00232                 <a class="code" href="classcxAreaIntProp__Data.html">cxAreaIntProp_Data&lt;dataType&gt;</a>&amp; <a class="code" href="classcxAreaIntProp__Data.html#adda7c79e4d6d310672b248bc09891a37">operator=</a>(<span class="keyword">const</span> <a class="code" href="classcxAreaIntProp.html">cxAreaIntProp&lt;dataType&gt;</a>&amp; asg);
    332. 

  332. <a name="l00233"></a>00233 
    333. 

  333. <a name="l00234"></a>00234                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a6409f46efd32e214ea4cd151acf1d8b4">getArea</a>() <span class="keyword">const</span>;
    334. 

  334. <a name="l00235"></a>00235                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#aa15419615eff044cb203def9f8880916">getXBar</a>() <span class="keyword">const</span>;
    335. 

  335. <a name="l00236"></a>00236                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#ac0e909647a50c080ae688247dfb69bca">getYBar</a>() <span class="keyword">const</span>;
    336. 

  336. <a name="l00237"></a>00237                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a6c0172a976874e6af891b4842922276e">getIxx</a>() <span class="keyword">const</span>;
    337. 

  337. <a name="l00238"></a>00238                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a7936b0a4ea324d1bc5de4e5b68b9d8c5">getIxy</a>() <span class="keyword">const</span>;
    338. 

  338. <a name="l00239"></a>00239                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a8657a28777b2cdd28126e1325f23ba6a">getIyy</a>() <span class="keyword">const</span>;
    339. 

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

  340. <a name="l00241"></a>00241 
    341. 

  341. <a name="l00242"></a>00242 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    342. 

  342. <a name="l00243"></a><a class="code" href="classcxAreaIntProp__Data.html#a6409f46efd32e214ea4cd151acf1d8b4">00243</a> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a6409f46efd32e214ea4cd151acf1d8b4">cxAreaIntProp_Data&lt;dataType&gt;::getArea</a>()<span class="keyword"> const</span>
    343. 

  343. <a name="l00244"></a>00244 <span class="keyword"></span>{
    344. 

  344. <a name="l00245"></a>00245         <span class="keywordflow">return</span> area;
    345. 

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

  346. <a name="l00247"></a>00247 
    347. 

  347. <a name="l00248"></a>00248 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    348. 

  348. <a name="l00249"></a><a class="code" href="classcxAreaIntProp__Data.html#aa15419615eff044cb203def9f8880916">00249</a> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#aa15419615eff044cb203def9f8880916">cxAreaIntProp_Data&lt;dataType&gt;::getXBar</a>()<span class="keyword"> const</span>
    349. 

  349. <a name="l00250"></a>00250 <span class="keyword"></span>{
    350. 

  350. <a name="l00251"></a>00251         <span class="keywordflow">return</span> xBar;
    351. 

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

  352. <a name="l00253"></a>00253 
    353. 

  353. <a name="l00254"></a>00254 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    354. 

  354. <a name="l00255"></a><a class="code" href="classcxAreaIntProp__Data.html#ac0e909647a50c080ae688247dfb69bca">00255</a> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#ac0e909647a50c080ae688247dfb69bca">cxAreaIntProp_Data&lt;dataType&gt;::getYBar</a>()<span class="keyword"> const</span>
    355. 

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

  356. <a name="l00257"></a>00257         <span class="keywordflow">return</span> yBar;
    357. 

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

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

  359. <a name="l00260"></a>00260 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    360. 

  360. <a name="l00261"></a><a class="code" href="classcxAreaIntProp__Data.html#a6c0172a976874e6af891b4842922276e">00261</a> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a6c0172a976874e6af891b4842922276e">cxAreaIntProp_Data&lt;dataType&gt;::getIxx</a>()<span class="keyword"> const</span>
    361. 

  361. <a name="l00262"></a>00262 <span class="keyword"></span>{
    362. 

  362. <a name="l00263"></a>00263         <span class="keywordflow">return</span> Ixx;
    363. 

  363. <a name="l00264"></a>00264 }
    364. 

  364. <a name="l00265"></a>00265 
    365. 

  365. <a name="l00266"></a>00266 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    366. 

  366. <a name="l00267"></a><a class="code" href="classcxAreaIntProp__Data.html#a7936b0a4ea324d1bc5de4e5b68b9d8c5">00267</a> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a7936b0a4ea324d1bc5de4e5b68b9d8c5">cxAreaIntProp_Data&lt;dataType&gt;::getIxy</a>()<span class="keyword"> const</span>
    367. 

  367. <a name="l00268"></a>00268 <span class="keyword"></span>{
    368. 

  368. <a name="l00269"></a>00269         <span class="keywordflow">return</span> Ixy;
    369. 

  369. <a name="l00270"></a>00270 }
    370. 

  370. <a name="l00271"></a>00271 
    371. 

  371. <a name="l00272"></a>00272 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    372. 

  372. <a name="l00273"></a><a class="code" href="classcxAreaIntProp__Data.html#a8657a28777b2cdd28126e1325f23ba6a">00273</a> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcxAreaIntProp__Data.html#a8657a28777b2cdd28126e1325f23ba6a">cxAreaIntProp_Data&lt;dataType&gt;::getIyy</a>()<span class="keyword"> const</span>
    373. 

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

  374. <a name="l00275"></a>00275         <span class="keywordflow">return</span> Iyy;
    375. 

  375. <a name="l00276"></a>00276 }
    376. 

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

  377. <a name="l00278"></a>00278 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    378. 

  378. <a name="l00279"></a><a class="code" href="classcxAreaIntProp__Data.html#a749abd819f54eb68a73bf75b7ecac0fb">00279</a> <a class="code" href="classcxAreaIntProp__Data.html#a749abd819f54eb68a73bf75b7ecac0fb">cxAreaIntProp_Data&lt;dataType&gt;::cxAreaIntProp_Data</a>() : area(0.0) , xBar(0.0) , yBar(0.0) , Ixx(0.0) , Ixy(0.0) , Iyy(0.0)
    379. 

  379. <a name="l00280"></a>00280 {}
    380. 

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

  381. <a name="l00282"></a>00282 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    382. 

  382. <a name="l00283"></a><a class="code" href="classcxAreaIntProp__Data.html#a9644439beaf38613276a431eb2c33e53">00283</a> <a class="code" href="classcxAreaIntProp__Data.html#a749abd819f54eb68a73bf75b7ecac0fb">cxAreaIntProp_Data&lt;dataType&gt;::cxAreaIntProp_Data</a>(<span class="keyword">const</span> <a class="code" href="classcxAreaIntProp__Data.html">cxAreaIntProp_Data&lt;dataType&gt;</a>&amp; asg) : area(asg.area) , xBar(asg.xBar) , yBar(asg.yBar) , Ixx(asg.Ixx) , Ixy(asg.Ixy) , Iyy(asg.Iyy)
    383. 

  383. <a name="l00284"></a>00284 {}
    384. 

  384. <a name="l00285"></a>00285 
    385. 

  385. <a name="l00286"></a>00286 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    386. 

  386. <a name="l00287"></a><a class="code" href="classcxAreaIntProp__Data.html#ab7663de16ac9005ccb60f6247e390929">00287</a> <a class="code" href="classcxAreaIntProp__Data.html#a749abd819f54eb68a73bf75b7ecac0fb">cxAreaIntProp_Data&lt;dataType&gt;::cxAreaIntProp_Data</a>(<span class="keyword">const</span> <a class="code" href="classcxAreaIntProp.html">cxAreaIntProp&lt;dataType&gt;</a>&amp; asg)
    387. 

  387. <a name="l00288"></a>00288 {
    388. 

  388. <a name="l00289"></a>00289         this-&gt;area=asg.<a class="code" href="classcxAreaIntProp.html#ae76ad19e1ce32de8d2e1bf268bf1d400">getArea</a>();
    389. 

  389. <a name="l00290"></a>00290         this-&gt;xBar=asg.<a class="code" href="classcxAreaIntProp.html#a1853d2f2754d26c6606dd673040086ce">getXBar</a>();
    390. 

  390. <a name="l00291"></a>00291         this-&gt;yBar=asg.<a class="code" href="classcxAreaIntProp.html#af788beb81f1f0ff9878fb9d08a43dbad">getYBar</a>();
    391. 

  391. <a name="l00292"></a>00292         this-&gt;Ixx=asg.<a class="code" href="classcxAreaIntProp.html#a50a912173e153171e535548d1a8255e3">getIxx</a>();
    392. 

  392. <a name="l00293"></a>00293         this-&gt;Ixy=asg.<a class="code" href="classcxAreaIntProp.html#a5862ae8cd0d0ab1eb6d8c57fcaa9b184">getIxy</a>();
    393. 

  393. <a name="l00294"></a>00294         this-&gt;Iyy=asg.<a class="code" href="classcxAreaIntProp.html#a76e28c48c914b63d0d981a6279a793cc">getIyy</a>();
    394. 

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

  395. <a name="l00296"></a>00296 
    396. 

  396. <a name="l00297"></a>00297 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    397. 

  397. <a name="l00298"></a><a class="code" href="classcxAreaIntProp__Data.html#a8f950690ea9c19617e08159522631358">00298</a> <a class="code" href="classcxAreaIntProp__Data.html#a8f950690ea9c19617e08159522631358">cxAreaIntProp_Data&lt;dataType&gt;::~cxAreaIntProp_Data</a>()
    398. 

  398. <a name="l00299"></a>00299 {}
    399. 

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

  400. <a name="l00301"></a>00301 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    401. 

  401. <a name="l00302"></a><a class="code" href="classcxAreaIntProp__Data.html#adda7c79e4d6d310672b248bc09891a37">00302</a> <a class="code" href="classcxAreaIntProp__Data.html">cxAreaIntProp_Data&lt;dataType&gt;</a>&amp; <a class="code" href="classcxAreaIntProp__Data.html#adda7c79e4d6d310672b248bc09891a37">cxAreaIntProp_Data&lt;dataType&gt;::operator=</a>(<span class="keyword">const</span> <a class="code" href="classcxAreaIntProp.html">cxAreaIntProp&lt;dataType&gt;</a>&amp; asg)
    402. 

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

  403. <a name="l00304"></a>00304         this-&gt;area=asg.<a class="code" href="classcxAreaIntProp.html#ae76ad19e1ce32de8d2e1bf268bf1d400">getArea</a>();
    404. 

  404. <a name="l00305"></a>00305         this-&gt;xBar=asg.<a class="code" href="classcxAreaIntProp.html#a1853d2f2754d26c6606dd673040086ce">getXBar</a>();
    405. 

  405. <a name="l00306"></a>00306         this-&gt;yBar=asg.<a class="code" href="classcxAreaIntProp.html#af788beb81f1f0ff9878fb9d08a43dbad">getYBar</a>();
    406. 

  406. <a name="l00307"></a>00307         this-&gt;Ixx=asg.<a class="code" href="classcxAreaIntProp.html#a50a912173e153171e535548d1a8255e3">getIxx</a>();
    407. 

  407. <a name="l00308"></a>00308         this-&gt;Ixy=asg.<a class="code" href="classcxAreaIntProp.html#a5862ae8cd0d0ab1eb6d8c57fcaa9b184">getIxy</a>();
    408. 

  408. <a name="l00309"></a>00309         this-&gt;Iyy=asg.<a class="code" href="classcxAreaIntProp.html#a76e28c48c914b63d0d981a6279a793cc">getIyy</a>();
    409. 

  409. <a name="l00310"></a>00310         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    410. 

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

  411. <a name="l00312"></a>00312 
    412. 

  412. <a name="l00313"></a>00313 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt; <span class="keyword">class </span><a class="code" href="classmesh.html">mesh</a>;
    413. 

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

  414. <a name="l00315"></a>00315 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    415. 

  415. <a name="l00316"></a>00316 std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out,const mesh&lt;dataType&gt;&amp; msh);
    416. 

  416. <a name="l00317"></a>00317 
    417. 

  417. <a name="l00318"></a>00318 <span class="comment">// now lets have a mesh</span>
    418. 

  418. <a name="l00319"></a>00319 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    419. 

  419. <a name="l00320"></a><a class="code" href="classmesh.html">00320</a> <span class="keyword">class </span><a class="code" href="classmesh.html">mesh</a>
    420. 

  420. <a name="l00321"></a>00321 {
    421. 

  421. <a name="l00322"></a>00322                 <span class="keyword">template</span>&lt;<span class="keyword">class</span> newType&gt;
    422. 

  422. <a name="l00323"></a>00323                 <span class="keyword">friend</span> std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out,const mesh&lt;newType&gt;&amp; msh);
    423. 

  423. <a name="l00324"></a>00324 
    424. 

  424. <a name="l00325"></a>00325         <span class="keyword">private</span>:
    425. 

  425. <a name="l00326"></a>00326 
    426. 

  426. <a name="l00327"></a>00327                 std::vector&lt;cxNode&lt;dataType&gt; &gt; nds;
    427. 

  427. <a name="l00328"></a>00328                 std::vector&lt;element&lt;dataType&gt; &gt; elms;
    428. 

  428. <a name="l00329"></a>00329 
    429. 

  429. <a name="l00330"></a>00330                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> N1(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    430. 

  430. <a name="l00331"></a>00331                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> N2(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    431. 

  431. <a name="l00332"></a>00332                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> N3(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    432. 

  432. <a name="l00333"></a>00333                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> N4(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    433. 

  433. <a name="l00334"></a>00334                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> dN1dS(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    434. 

  434. <a name="l00335"></a>00335                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> dN2dS(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    435. 

  435. <a name="l00336"></a>00336                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> dN3dS(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    436. 

  436. <a name="l00337"></a>00337                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> dN4dS(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    437. 

  437. <a name="l00338"></a>00338                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> dN1dT(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    438. 

  438. <a name="l00339"></a>00339                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> dN2dT(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    439. 

  439. <a name="l00340"></a>00340                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> dN3dT(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    440. 

  440. <a name="l00341"></a>00341                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> dN4dT(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t);
    441. 

  441. <a name="l00342"></a>00342                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> d_dS(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeVals);
    442. 

  442. <a name="l00343"></a>00343                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> d_dT(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeVals);
    443. 

  443. <a name="l00344"></a>00344                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> jacobian(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; xVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; yVals);
    444. 

  444. <a name="l00345"></a>00345                 <span class="keywordtype">void</span> quadConstants(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,std::vector&lt;dataType&gt;&amp; X,std::vector&lt;dataType&gt;&amp; W);
    445. 

  445. <a name="l00346"></a>00346                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classintegral.html">integral</a>(<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; X,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; W,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; xVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; yVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeVals);
    446. 

  446. <a name="l00347"></a>00347                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> integralSquare(<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; X,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; W,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; xVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; yVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeValsA,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeValsB);
    447. 

  447. <a name="l00348"></a>00348 
    448. 

  448. <a name="l00349"></a>00349         <span class="keyword">public</span>:
    449. 

  449. <a name="l00350"></a>00350 
    450. 

  450. <a name="l00351"></a><a class="code" href="classmesh.html#addeb702f57ddbe3df73a311d6f95435f">00351</a>                 <a class="code" href="classmesh.html#addeb702f57ddbe3df73a311d6f95435f">mesh</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> ndCnt=0,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elmCnt=0) : nds(ndCnt) , elms(elmCnt)
    451. 

  451. <a name="l00352"></a>00352                 {}
    452. 

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

  453. <a name="l00354"></a><a class="code" href="classmesh.html#a89ba23f3fb3bd3258e9a8d74dfec9f0f">00354</a>                 <span class="keywordtype">void</span> <a class="code" href="classmesh.html#a89ba23f3fb3bd3258e9a8d74dfec9f0f">resize</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> ndCnt,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elmCnt)
    454. 

  454. <a name="l00355"></a>00355                 {
    455. 

  455. <a name="l00356"></a>00356                         nds.resize(ndCnt);
    456. 

  456. <a name="l00357"></a>00357                         elms.resize(elmCnt);
    457. 

  457. <a name="l00358"></a>00358                 }
    458. 

  458. <a name="l00359"></a>00359 
    459. 

  459. <a name="l00360"></a><a class="code" href="classmesh.html#a29af308711e22c1b68ab612c2acc5f9d">00360</a>                 <span class="keywordtype">void</span> <a class="code" href="classmesh.html#a29af308711e22c1b68ab612c2acc5f9d">size</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; ndCnt,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; elmCnt)<span class="keyword"> const</span>
    460. 

  460. <a name="l00361"></a>00361 <span class="keyword">                </span>{
    461. 

  461. <a name="l00362"></a>00362                         ndCnt=nds.size();
    462. 

  462. <a name="l00363"></a>00363                         elmCnt=elms.size();
    463. 

  463. <a name="l00364"></a>00364                         <span class="keywordflow">return</span>;
    464. 

  464. <a name="l00365"></a>00365                 }
    465. 

  465. <a name="l00366"></a>00366 
    466. 

  466. <a name="l00367"></a><a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">00367</a>                 <a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>&amp; <a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <span class="keywordtype">id</span>)
    467. 

  467. <a name="l00368"></a>00368                 {
    468. 

  468. <a name="l00369"></a>00369                         <span class="keywordflow">if</span>(<span class="keywordtype">id</span>&gt;=nds.size())
    469. 

  469. <a name="l00370"></a>00370                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;mesh::getNode(): The node does not exist&quot;</span>);
    470. 

  470. <a name="l00371"></a>00371                         <span class="keywordflow">return</span> nds[id];
    471. 

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

  472. <a name="l00373"></a>00373 
    473. 

  473. <a name="l00374"></a><a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">00374</a>                 <a class="code" href="classelement.html">element&lt;dataType&gt;</a>&amp; <a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <span class="keywordtype">id</span>)
    474. 

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

  475. <a name="l00376"></a>00376                         <span class="keywordflow">if</span>(<span class="keywordtype">id</span>&gt;=elms.size())
    476. 

  476. <a name="l00377"></a>00377                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;mesh::getElement(): The element does not exist&quot;</span>);
    477. 

  477. <a name="l00378"></a>00378                         <span class="keywordflow">return</span> elms[id];
    478. 

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

  479. <a name="l00380"></a>00380 
    480. 

  480. <a name="l00381"></a><a class="code" href="classmesh.html#a55f0504476488e10f8ff082576eb11c4">00381</a>                 <span class="keyword">const</span> <a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>&amp; <a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <span class="keywordtype">id</span>)<span class="keyword"> const</span>
    481. 

  481. <a name="l00382"></a>00382 <span class="keyword">                </span>{
    482. 

  482. <a name="l00383"></a>00383                         <span class="keywordflow">if</span>(<span class="keywordtype">id</span>&gt;=nds.size())
    483. 

  483. <a name="l00384"></a>00384                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;mesh::getNode(): The node does not exist&quot;</span>);
    484. 

  484. <a name="l00385"></a>00385                         <span class="keywordflow">return</span> nds[id];
    485. 

  485. <a name="l00386"></a>00386                 }
    486. 

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

  487. <a name="l00388"></a><a class="code" href="classmesh.html#a009b31942c44a9b1048b41e856253b0d">00388</a>                 <span class="keyword">const</span> <a class="code" href="classelement.html">element&lt;dataType&gt;</a>&amp; <a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <span class="keywordtype">id</span>)<span class="keyword"> const</span>
    488. 

  488. <a name="l00389"></a>00389 <span class="keyword">                </span>{
    489. 

  489. <a name="l00390"></a>00390                         <span class="keywordflow">if</span>(<span class="keywordtype">id</span>&gt;=elms.size())
    490. 

  490. <a name="l00391"></a>00391                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;mesh::getElement(): The element does not exist&quot;</span>);
    491. 

  491. <a name="l00392"></a>00392                         <span class="keywordflow">return</span> elms[id];
    492. 

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

  493. <a name="l00394"></a>00394 
    494. 

  494. <a name="l00395"></a><a class="code" href="classmesh.html#a16f338040b8caf85f37a48d9eaa1c744">00395</a>                 <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a>&amp; <a class="code" href="classmesh.html#a16f338040b8caf85f37a48d9eaa1c744">shift</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> deltaX,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> deltaY)
    495. 

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

  496. <a name="l00397"></a>00397                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;nds.size();i++)
    497. 

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

  498. <a name="l00399"></a>00399                                 nds[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].x+=deltaX;
    499. 

  499. <a name="l00400"></a>00400                                 nds[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].y+=deltaY;
    500. 

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

  501. <a name="l00402"></a>00402                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    502. 

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

  503. <a name="l00404"></a>00404 
    504. 

  504. <a name="l00405"></a><a class="code" href="classmesh.html#a6e8277d4d6e90a55d384b6dce29c755f">00405</a>                 <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a>&amp; <a class="code" href="classmesh.html#a6e8277d4d6e90a55d384b6dce29c755f">scale</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> scaleMag)
    505. 

  505. <a name="l00406"></a>00406                 {
    506. 

  506. <a name="l00407"></a>00407                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;nds.size();i++)
    507. 

  507. <a name="l00408"></a>00408                         {
    508. 

  508. <a name="l00409"></a>00409                                 nds[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].x*=scaleMag;
    509. 

  509. <a name="l00410"></a>00410                                 nds[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].y*=scaleMag;
    510. 

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

  511. <a name="l00412"></a>00412                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    512. 

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

  513. <a name="l00414"></a>00414 
    514. 

  514. <a name="l00415"></a><a class="code" href="classmesh.html#a5a1537dc32069794a5295a4a5e506ce7">00415</a>                 <a class="code" href="classcxAreaIntProp__Data.html">cxAreaIntProp_Data&lt;dataType&gt;</a> <a class="code" href="classmesh.html#a5a1537dc32069794a5295a4a5e506ce7">getProperties</a>()
    515. 

  515. <a name="l00416"></a>00416                 {
    516. 

  516. <a name="l00417"></a>00417                         std::vector&lt;dataType&gt; X;
    517. 

  517. <a name="l00418"></a>00418                         std::vector&lt;dataType&gt; W;
    518. 

  518. <a name="l00419"></a>00419                         std::vector&lt;dataType&gt; oneVals=std::vector&lt;dataType&gt;(4,1.0);
    519. 

  519. <a name="l00420"></a>00420                         std::vector&lt;dataType&gt; xVals=std::vector&lt;dataType&gt;(4,1.0);
    520. 

  520. <a name="l00421"></a>00421                         std::vector&lt;dataType&gt; yVals=std::vector&lt;dataType&gt;(4,1.0);
    521. 

  521. <a name="l00422"></a>00422                         <a class="code" href="classcxAreaIntProp__Data.html">cxAreaIntProp_Data&lt;dataType&gt;</a> retVal;
    522. 

  522. <a name="l00423"></a>00423 
    523. 

  523. <a name="l00424"></a>00424                         <span class="comment">// retrieve the quadrature constants</span>
    524. 

  524. <a name="l00425"></a>00425                         quadConstants(1,X,W);
    525. 

  525. <a name="l00426"></a>00426 
    526. 

  526. <a name="l00427"></a>00427                         <span class="comment">// retrieve all the integral values</span>
    527. 

  527. <a name="l00428"></a>00428                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;elms.size();i++)
    528. 

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

  529. <a name="l00430"></a>00430                                 <span class="comment">// retrieve the element and get the node position values</span>
    530. 

  530. <a name="l00431"></a>00431                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    531. 

  531. <a name="l00432"></a>00432                                 {
    532. 

  532. <a name="l00433"></a>00433                                         xVals[j]=nds[elms[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].nodeHndl[j].nodeID].x;
    533. 

  533. <a name="l00434"></a>00434                                         yVals[j]=nds[elms[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].nodeHndl[j].nodeID].y;
    534. 

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

  535. <a name="l00436"></a>00436                                 <span class="comment">// get the area integral</span>
    536. 

  536. <a name="l00437"></a>00437                                 retVal.<a class="code" href="classcxAreaIntProp__Data.html#a82c4f4eca875b355a6e29536068e3e6f">area</a>+=integral(X,W,xVals,yVals,oneVals);
    537. 

  537. <a name="l00438"></a>00438                                 retVal.<a class="code" href="classcxAreaIntProp__Data.html#ab86f0909c220377d1061b9bf3929d0e7">xBar</a>+=integral(X,W,xVals,yVals,xVals);
    538. 

  538. <a name="l00439"></a>00439                                 retVal.<a class="code" href="classcxAreaIntProp__Data.html#a63d4dfb4f8b34a79c499168bc16f3a8b">yBar</a>+=integral(X,W,xVals,yVals,yVals);
    539. 

  539. <a name="l00440"></a>00440                                 retVal.<a class="code" href="classcxAreaIntProp__Data.html#a22676e2d1f0237e334098168c81099a2">Ixx</a>+=integralSquare(X,W,xVals,yVals,xVals,xVals);
    540. 

  540. <a name="l00441"></a>00441                                 retVal.<a class="code" href="classcxAreaIntProp__Data.html#a7c383866c65e682bc35a6ef77449e7b1">Ixy</a>+=integralSquare(X,W,xVals,yVals,xVals,yVals);
    541. 

  541. <a name="l00442"></a>00442                                 retVal.<a class="code" href="classcxAreaIntProp__Data.html#a45805f2d23b775427190a00a4cbf9a9a">Iyy</a>+=integralSquare(X,W,xVals,yVals,yVals,yVals);
    542. 

  542. <a name="l00443"></a>00443                         }
    543. 

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

  544. <a name="l00445"></a>00445                         <span class="comment">// get the properties</span>
    545. 

  545. <a name="l00446"></a>00446                         retVal.<a class="code" href="classcxAreaIntProp__Data.html#ab86f0909c220377d1061b9bf3929d0e7">xBar</a>/=retVal.<a class="code" href="classcxAreaIntProp__Data.html#a82c4f4eca875b355a6e29536068e3e6f">area</a>;
    546. 

  546. <a name="l00447"></a>00447                         retVal.<a class="code" href="classcxAreaIntProp__Data.html#a63d4dfb4f8b34a79c499168bc16f3a8b">yBar</a>/=retVal.<a class="code" href="classcxAreaIntProp__Data.html#a82c4f4eca875b355a6e29536068e3e6f">area</a>;
    547. 

  547. <a name="l00448"></a>00448                         retVal.<a class="code" href="classcxAreaIntProp__Data.html#a22676e2d1f0237e334098168c81099a2">Ixx</a>-=retVal.<a class="code" href="classcxAreaIntProp__Data.html#ab86f0909c220377d1061b9bf3929d0e7">xBar</a>*retVal.<a class="code" href="classcxAreaIntProp__Data.html#ab86f0909c220377d1061b9bf3929d0e7">xBar</a>*retVal.<a class="code" href="classcxAreaIntProp__Data.html#a82c4f4eca875b355a6e29536068e3e6f">area</a>;
    548. 

  548. <a name="l00449"></a>00449                         retVal.<a class="code" href="classcxAreaIntProp__Data.html#a7c383866c65e682bc35a6ef77449e7b1">Ixy</a>-=retVal.<a class="code" href="classcxAreaIntProp__Data.html#ab86f0909c220377d1061b9bf3929d0e7">xBar</a>*retVal.<a class="code" href="classcxAreaIntProp__Data.html#a63d4dfb4f8b34a79c499168bc16f3a8b">yBar</a>*retVal.<a class="code" href="classcxAreaIntProp__Data.html#a82c4f4eca875b355a6e29536068e3e6f">area</a>;
    549. 

  549. <a name="l00450"></a>00450                         retVal.<a class="code" href="classcxAreaIntProp__Data.html#a45805f2d23b775427190a00a4cbf9a9a">Iyy</a>-=retVal.<a class="code" href="classcxAreaIntProp__Data.html#a63d4dfb4f8b34a79c499168bc16f3a8b">yBar</a>*retVal.<a class="code" href="classcxAreaIntProp__Data.html#a63d4dfb4f8b34a79c499168bc16f3a8b">yBar</a>*retVal.<a class="code" href="classcxAreaIntProp__Data.html#a82c4f4eca875b355a6e29536068e3e6f">area</a>;
    550. 

  550. <a name="l00451"></a>00451 
    551. 

  551. <a name="l00452"></a>00452                         <span class="comment">// return the results</span>
    552. 

  552. <a name="l00453"></a>00453                         <span class="keywordflow">return</span> retVal;
    553. 

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

  554. <a name="l00455"></a>00455 
    555. 

  555. <a name="l00456"></a><a class="code" href="classmesh.html#a895beb007b06e5cb856086c1218f097d">00456</a>                 <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a>&amp; <a class="code" href="classmesh.html#a895beb007b06e5cb856086c1218f097d">operator=</a>(<span class="keyword">const</span> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a>&amp; rhs)
    556. 

  556. <a name="l00457"></a>00457                 {
    557. 

  557. <a name="l00458"></a>00458                         <span class="keywordflow">if</span>(<span class="keyword">this</span>==&amp;rhs)
    558. 

  558. <a name="l00459"></a>00459                                 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    559. 

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

  560. <a name="l00461"></a>00461                         this-&gt;nds=rhs.nds;
    561. 

  561. <a name="l00462"></a>00462                         this-&gt;elms=rhs.elms;
    562. 

  562. <a name="l00463"></a>00463                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    563. 

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

  564. <a name="l00465"></a>00465 
    565. 

  565. <a name="l00466"></a><a class="code" href="classmesh.html#a087a8f69b54fe8e4bd76774f491e90c5">00466</a>                 <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a>&amp; <a class="code" href="classmesh.html#a087a8f69b54fe8e4bd76774f491e90c5">operator+=</a>(<span class="keyword">const</span> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a>&amp; rhs)
    566. 

  566. <a name="l00467"></a>00467                 {
    567. 

  567. <a name="l00468"></a>00468                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> ndCnt=0;
    568. 

  568. <a name="l00469"></a>00469                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> elmCnt=0;
    569. 

  569. <a name="l00470"></a>00470                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> oldCnt=elms.size();
    570. 

  570. <a name="l00471"></a>00471 
    571. 

  571. <a name="l00472"></a>00472                         rhs.<a class="code" href="classmesh.html#a29af308711e22c1b68ab612c2acc5f9d">size</a>(ndCnt,elmCnt);
    572. 

  572. <a name="l00473"></a>00473 
    573. 

  573. <a name="l00474"></a>00474                         std::vector&lt;bool&gt; isNew(ndCnt,<span class="keyword">true</span>);
    574. 

  574. <a name="l00475"></a>00475                         std::vector&lt;unsigned long&gt; thisID(ndCnt,0);
    575. 

  575. <a name="l00476"></a>00476                         std::vector&lt;std::vector&lt;unsigned long&gt; &gt; thisData(ndCnt,std::vector&lt;unsigned long&gt;(0));
    576. 

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

  577. <a name="l00478"></a>00478                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at=nds.size();
    578. 

  578. <a name="l00479"></a>00479 
    579. 

  579. <a name="l00480"></a>00480                         <span class="comment">// loop through all the nodes of the argument mesh</span>
    580. 

  580. <a name="l00481"></a>00481                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;ndCnt;i++)
    581. 

  581. <a name="l00482"></a>00482                         {
    582. 

  582. <a name="l00483"></a>00483                                 thisData[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].resize(rhs.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i).nodeData.size());
    583. 

  583. <a name="l00484"></a>00484                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> k=0;k&lt;thisData[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].size();k++)
    584. 

  584. <a name="l00485"></a>00485                                         thisData[i][k]=k;
    585. 

  585. <a name="l00486"></a>00486                                 <span class="comment">// loop through all of &quot;this&quot; nodes to determine if there are any copies</span>
    586. 

  586. <a name="l00487"></a>00487                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;nds.size();j++)
    587. 

  587. <a name="l00488"></a>00488                                 {
    588. 

  588. <a name="l00489"></a>00489                                         <span class="keywordflow">if</span>(rhs.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i).samePoint(this-&gt;nds[j]))
    589. 

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

  590. <a name="l00491"></a>00491                                                 isNew[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<span class="keyword">false</span>;
    591. 

  591. <a name="l00492"></a>00492                                                 thisID[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=j;
    592. 

  592. <a name="l00493"></a>00493                                                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> oldSize=this-&gt;nds[j].nodeData.size();
    593. 

  593. <a name="l00494"></a>00494                                                 <span class="comment">// resize the nodeData vector to accept data from more elements</span>
    594. 

  594. <a name="l00495"></a>00495                                                 this-&gt;nds[j].nodeData.resize(oldSize+thisData[i].<a class="code" href="classmesh.html#a29af308711e22c1b68ab612c2acc5f9d">size</a>());
    595. 

  595. <a name="l00496"></a>00496                                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> k=0;k&lt;thisData[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].size();k++)
    596. 

  596. <a name="l00497"></a>00497                                                 {
    597. 

  597. <a name="l00498"></a>00498                                                         <span class="comment">// copy over the nodeData from the argument nodes</span>
    598. 

  598. <a name="l00499"></a>00499                                                         this-&gt;nds[j].nodeData[oldSize+k]=rhs.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i).nodeData[k];
    599. 

  599. <a name="l00500"></a>00500                                                         <span class="comment">// store the location of this new node data</span>
    600. 

  600. <a name="l00501"></a>00501                                                         thisData[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>][k]=oldSize+k;
    601. 

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

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

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

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

  605. <a name="l00506"></a>00506                                 <span class="keywordflow">if</span>(isNew[i])
    606. 

  606. <a name="l00507"></a>00507                                 {
    607. 

  607. <a name="l00508"></a>00508                                         thisID[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=at;
    608. 

  608. <a name="l00509"></a>00509                                         at++;
    609. 

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

  610. <a name="l00511"></a>00511                         }
    611. 

  611. <a name="l00512"></a>00512                         nds.resize(at);
    612. 

  612. <a name="l00513"></a>00513                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;ndCnt;i++)
    613. 

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

  614. <a name="l00515"></a>00515                                 <span class="keywordflow">if</span>(isNew[i])
    615. 

  615. <a name="l00516"></a>00516                                         nds[thisID[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]]=rhs.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i);
    616. 

  616. <a name="l00517"></a>00517                         }
    617. 

  617. <a name="l00518"></a>00518                         elms.resize(oldCnt+elmCnt);
    618. 

  618. <a name="l00519"></a>00519                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;elmCnt;i++)
    619. 

  619. <a name="l00520"></a>00520                         {
    620. 

  620. <a name="l00521"></a>00521                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;rhs.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i).nodeHndl.size();j++)
    621. 

  621. <a name="l00522"></a>00522                                 {
    622. 

  622. <a name="l00523"></a>00523                                         <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; rhsNodeId=rhs.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i).nodeHndl[j].nodeID;
    623. 

  623. <a name="l00524"></a>00524                                         <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; rhsDataId=rhs.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i).nodeHndl[j].dataID;
    624. 

  624. <a name="l00525"></a>00525                                         elms[oldCnt+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].nodeHndl[j]=<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>(thisID[rhsNodeId],thisData[rhsNodeId][rhsDataId]);
    625. 

  625. <a name="l00526"></a>00526                                 }
    626. 

  626. <a name="l00527"></a>00527                                 elms[oldCnt+<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].material=rhs.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i).material;
    627. 

  627. <a name="l00528"></a>00528                         }
    628. 

  628. <a name="l00529"></a>00529 
    629. 

  629. <a name="l00530"></a>00530                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    630. 

  630. <a name="l00531"></a>00531                 }
    631. 

  631. <a name="l00532"></a>00532 
    632. 

  632. <a name="l00533"></a><a class="code" href="classmesh.html#a1af77c2a8144b9f22d1305ae6a87288d">00533</a>                 <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a> <a class="code" href="classmesh.html#a1af77c2a8144b9f22d1305ae6a87288d">operator+</a>(<span class="keyword">const</span> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a>&amp; rhs)
    633. 

  633. <a name="l00534"></a>00534                 {
    634. 

  634. <a name="l00535"></a>00535                         <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a> retVal;
    635. 

  635. <a name="l00536"></a>00536                         retVal=*<span class="keyword">this</span>;
    636. 

  636. <a name="l00537"></a>00537                         retVal+=rhs;
    637. 

  637. <a name="l00538"></a>00538                         <span class="keywordflow">return</span> retVal;
    638. 

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

  639. <a name="l00540"></a>00540 
    640. 

  640. <a name="l00541"></a>00541                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html#a64c1128d27c9557c9e92d6f8844308c4">value</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeVals);
    641. 

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

  642. <a name="l00543"></a><a class="code" href="classmesh.html#a5ec4fdd5896d908df74952b202bfcde1">00543</a>                 <span class="keywordtype">void</span> <a class="code" href="classmesh.html#a5ec4fdd5896d908df74952b202bfcde1">print</a>()
    643. 

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

  644. <a name="l00545"></a>00545                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;elms.size();i++)
    645. 

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

  646. <a name="l00547"></a>00547                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;5;j++)
    647. 

  647. <a name="l00548"></a>00548                                         std::cout &lt;&lt; nds[elms[i].nodeHndl[j%4].nodeID].x &lt;&lt; <span class="charliteral">&#39;\t&#39;</span> &lt;&lt; nds[elms[i].nodeHndl[j%4].nodeID].y &lt;&lt; std::endl;
    648. 

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

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

  650. <a name="l00551"></a>00551 };
    651. 

  651. <a name="l00552"></a>00552 
    652. 

  652. <a name="l00553"></a>00553 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    653. 

  653. <a name="l00554"></a>00554 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::N1</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>)
    654. 

  654. <a name="l00555"></a>00555 {
    655. 

  655. <a name="l00556"></a>00556         <span class="keywordflow">return</span> 0.25*(1.0-s)*(1.0-t);
    656. 

  656. <a name="l00557"></a>00557 }
    657. 

  657. <a name="l00558"></a>00558 
    658. 

  658. <a name="l00559"></a>00559 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    659. 

  659. <a name="l00560"></a>00560 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::N2</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    660. 

  660. <a name="l00561"></a>00561 {
    661. 

  661. <a name="l00562"></a>00562         <span class="keywordflow">return</span> 0.25*(1.0-s)*(1.0+t);
    662. 

  662. <a name="l00563"></a>00563 }
    663. 

  663. <a name="l00564"></a>00564 
    664. 

  664. <a name="l00565"></a>00565 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    665. 

  665. <a name="l00566"></a>00566 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::N3</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    666. 

  666. <a name="l00567"></a>00567 {
    667. 

  667. <a name="l00568"></a>00568         <span class="keywordflow">return</span> 0.25*(1.0+s)*(1.0+t);
    668. 

  668. <a name="l00569"></a>00569 }
    669. 

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

  670. <a name="l00571"></a>00571 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    671. 

  671. <a name="l00572"></a>00572 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::N4</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    672. 

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

  673. <a name="l00574"></a>00574         <span class="keywordflow">return</span> 0.25*(1.0+s)*(1.0-t);
    674. 

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

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

  676. <a name="l00577"></a>00577 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    677. 

  677. <a name="l00578"></a>00578 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::dN1dS</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    678. 

  678. <a name="l00579"></a>00579 {
    679. 

  679. <a name="l00580"></a>00580         <span class="keywordflow">return</span> -0.25*(1.0-<a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    680. 

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

  681. <a name="l00582"></a>00582 
    682. 

  682. <a name="l00583"></a>00583 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    683. 

  683. <a name="l00584"></a>00584 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::dN2dS</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    684. 

  684. <a name="l00585"></a>00585 {
    685. 

  685. <a name="l00586"></a>00586         <span class="keywordflow">return</span> -0.25*(1.0+<a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    686. 

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

  687. <a name="l00588"></a>00588 
    688. 

  688. <a name="l00589"></a>00589 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    689. 

  689. <a name="l00590"></a>00590 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::dN3dS</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    690. 

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

  691. <a name="l00592"></a>00592         <span class="keywordflow">return</span> 0.25*(1.0+<a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    692. 

  692. <a name="l00593"></a>00593 }
    693. 

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

  694. <a name="l00595"></a>00595 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    695. 

  695. <a name="l00596"></a>00596 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::dN4dS</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    696. 

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

  697. <a name="l00598"></a>00598         <span class="keywordflow">return</span> 0.25*(1.0-<a class="code" href="namespaceCPPL.html#ab544de2e0cfe3ab6180d91ac5febff72">t</a>);
    698. 

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

  699. <a name="l00600"></a>00600 
    700. 

  700. <a name="l00601"></a>00601 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    701. 

  701. <a name="l00602"></a>00602 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::dN1dT</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    702. 

  702. <a name="l00603"></a>00603 {
    703. 

  703. <a name="l00604"></a>00604         <span class="keywordflow">return</span> -0.25*(1.0-s);
    704. 

  704. <a name="l00605"></a>00605 }
    705. 

  705. <a name="l00606"></a>00606 
    706. 

  706. <a name="l00607"></a>00607 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    707. 

  707. <a name="l00608"></a>00608 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::dN2dT</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    708. 

  708. <a name="l00609"></a>00609 {
    709. 

  709. <a name="l00610"></a>00610         <span class="keywordflow">return</span> 0.25*(1.0-s);
    710. 

  710. <a name="l00611"></a>00611 }
    711. 

  711. <a name="l00612"></a>00612 
    712. 

  712. <a name="l00613"></a>00613 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    713. 

  713. <a name="l00614"></a>00614 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::dN3dT</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    714. 

  714. <a name="l00615"></a>00615 {
    715. 

  715. <a name="l00616"></a>00616         <span class="keywordflow">return</span> 0.25*(1.0+s);
    716. 

  716. <a name="l00617"></a>00617 }
    717. 

  717. <a name="l00618"></a>00618 
    718. 

  718. <a name="l00619"></a>00619 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    719. 

  719. <a name="l00620"></a>00620 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::dN4dT</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t)
    720. 

  720. <a name="l00621"></a>00621 {
    721. 

  721. <a name="l00622"></a>00622         <span class="keywordflow">return</span> -0.25*(1.0+s);
    722. 

  722. <a name="l00623"></a>00623 }
    723. 

  723. <a name="l00624"></a>00624 
    724. 

  724. <a name="l00625"></a>00625 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    725. 

  725. <a name="l00626"></a><a class="code" href="classmesh.html#a64c1128d27c9557c9e92d6f8844308c4">00626</a> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html#a64c1128d27c9557c9e92d6f8844308c4">mesh&lt;dataType&gt;::value</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeVals)
    726. 

  726. <a name="l00627"></a>00627 {
    727. 

  727. <a name="l00628"></a>00628         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> retVal=0.0;
    728. 

  728. <a name="l00629"></a>00629 
    729. 

  729. <a name="l00630"></a>00630         retVal+=nodeVals[0]*N1(s,t);
    730. 

  730. <a name="l00631"></a>00631         retVal+=nodeVals[1]*N2(s,t);
    731. 

  731. <a name="l00632"></a>00632         retVal+=nodeVals[2]*N3(s,t);
    732. 

  732. <a name="l00633"></a>00633         retVal+=nodeVals[3]*N4(s,t);
    733. 

  733. <a name="l00634"></a>00634 
    734. 

  734. <a name="l00635"></a>00635         <span class="keywordflow">return</span> retVal;
    735. 

  735. <a name="l00636"></a>00636 }
    736. 

  736. <a name="l00637"></a>00637 
    737. 

  737. <a name="l00638"></a>00638 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    738. 

  738. <a name="l00639"></a>00639 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::d_dS</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeVals)
    739. 

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

  740. <a name="l00641"></a>00641         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> retVal=0.0;
    741. 

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

  742. <a name="l00643"></a>00643         retVal+=nodeVals[0]*dN1dS(s,t);
    743. 

  743. <a name="l00644"></a>00644         retVal+=nodeVals[1]*dN2dS(s,t);
    744. 

  744. <a name="l00645"></a>00645         retVal+=nodeVals[2]*dN3dS(s,t);
    745. 

  745. <a name="l00646"></a>00646         retVal+=nodeVals[3]*dN4dS(s,t);
    746. 

  746. <a name="l00647"></a>00647 
    747. 

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

  748. <a name="l00649"></a>00649 }
    749. 

  749. <a name="l00650"></a>00650 
    750. 

  750. <a name="l00651"></a>00651 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    751. 

  751. <a name="l00652"></a>00652 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::d_dT</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeVals)
    752. 

  752. <a name="l00653"></a>00653 {
    753. 

  753. <a name="l00654"></a>00654         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> retVal=0.0;
    754. 

  754. <a name="l00655"></a>00655 
    755. 

  755. <a name="l00656"></a>00656         retVal+=nodeVals[0]*dN1dT(s,t);
    756. 

  756. <a name="l00657"></a>00657         retVal+=nodeVals[1]*dN2dT(s,t);
    757. 

  757. <a name="l00658"></a>00658         retVal+=nodeVals[2]*dN3dT(s,t);
    758. 

  758. <a name="l00659"></a>00659         retVal+=nodeVals[3]*dN4dT(s,t);
    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="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    764. 

  764. <a name="l00665"></a>00665 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::jacobian</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; xVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; yVals)
    765. 

  765. <a name="l00666"></a>00666 {
    766. 

  766. <a name="l00667"></a>00667         <span class="keywordflow">return</span> fabs(d_dS(s,t,xVals)*d_dT(s,t,yVals)-d_dS(s,t,yVals)*d_dT(s,t,xVals));
    767. 

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

  768. <a name="l00669"></a>00669 
    769. 

  769. <a name="l00670"></a>00670 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    770. 

  770. <a name="l00671"></a>00671 <span class="keywordtype">void</span> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::quadConstants</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,std::vector&lt;dataType&gt;&amp; X,std::vector&lt;dataType&gt;&amp; W)
    771. 

  771. <a name="l00672"></a>00672 {
    772. 

  772. <a name="l00673"></a>00673         <span class="keywordflow">switch</span>(i)
    773. 

  773. <a name="l00674"></a>00674         {
    774. 

  774. <a name="l00675"></a>00675                 <span class="keywordflow">case</span> 0:
    775. 

  775. <a name="l00676"></a>00676                         X.<a class="code" href="classmesh.html#a89ba23f3fb3bd3258e9a8d74dfec9f0f">resize</a>(1);
    776. 

  776. <a name="l00677"></a>00677                         W.resize(1);
    777. 

  777. <a name="l00678"></a>00678                         X[0]=0;
    778. 

  778. <a name="l00679"></a>00679                         W[0]=2;
    779. 

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

  780. <a name="l00681"></a>00681                 <span class="keywordflow">case</span> 1:
    781. 

  781. <a name="l00682"></a>00682                         X.resize(2);
    782. 

  782. <a name="l00683"></a>00683                         W.resize(2);
    783. 

  783. <a name="l00684"></a>00684                         X[0]=-1.0/sqrt(3.0);
    784. 

  784. <a name="l00685"></a>00685                         X[1]=1.0/sqrt(3.0);
    785. 

  785. <a name="l00686"></a>00686                         W[0]=1.0;
    786. 

  786. <a name="l00687"></a>00687                         W[1]=1.0;
    787. 

  787. <a name="l00688"></a>00688                         <span class="keywordflow">return</span>;
    788. 

  788. <a name="l00689"></a>00689                 <span class="keywordflow">case</span> 2:
    789. 

  789. <a name="l00690"></a>00690                         X.resize(3);
    790. 

  790. <a name="l00691"></a>00691                         W.resize(3);
    791. 

  791. <a name="l00692"></a>00692                         X[0]=-sqrt(3.0/5.0);
    792. 

  792. <a name="l00693"></a>00693                         X[1]=0.0;
    793. 

  793. <a name="l00694"></a>00694                         X[2]=sqrt(3.0/5.0);
    794. 

  794. <a name="l00695"></a>00695                         W[0]=5.0/9.0;
    795. 

  795. <a name="l00696"></a>00696                         W[1]=8.0/9.0;
    796. 

  796. <a name="l00697"></a>00697                         W[2]=5.0/9.0;
    797. 

  797. <a name="l00698"></a>00698                         <span class="keywordflow">return</span>;
    798. 

  798. <a name="l00699"></a>00699                 <span class="keywordflow">case</span> 3:
    799. 

  799. <a name="l00700"></a>00700                         X.resize(4);
    800. 

  800. <a name="l00701"></a>00701                         W.resize(4);
    801. 

  801. <a name="l00702"></a>00702                         X[0]=-sqrt((3.0+2.0*sqrt(6.0/5.0))/7.0);
    802. 

  802. <a name="l00703"></a>00703                         X[1]=-sqrt((3.0-2.0*sqrt(6.0/5.0))/7.0);
    803. 

  803. <a name="l00704"></a>00704                         X[2]=sqrt((3.0-2.0*sqrt(6.0/5.0))/7.0);
    804. 

  804. <a name="l00705"></a>00705                         X[3]=sqrt((3.0+2.0*sqrt(6.0/5.0))/7.0);
    805. 

  805. <a name="l00706"></a>00706                         W[0]=(18.0-sqrt(30.0))/36.0;
    806. 

  806. <a name="l00707"></a>00707                         W[1]=(18.0+sqrt(30.0))/36.0;
    807. 

  807. <a name="l00708"></a>00708                         W[2]=(18.0+sqrt(30.0))/36.0;
    808. 

  808. <a name="l00709"></a>00709                         W[3]=(18.0-sqrt(30.0))/36.0;
    809. 

  809. <a name="l00710"></a>00710                         <span class="keywordflow">return</span>;
    810. 

  810. <a name="l00711"></a>00711                 <span class="keywordflow">case</span> 4:
    811. 

  811. <a name="l00712"></a>00712                         X.resize(5);
    812. 

  812. <a name="l00713"></a>00713                         W.resize(5);
    813. 

  813. <a name="l00714"></a>00714                         X[0]=-sqrt(5.0+2.0*sqrt(10.0/7.0))/3.0;
    814. 

  814. <a name="l00715"></a>00715                         X[1]=-sqrt(5.0-2.0*sqrt(10.0/7.0))/3.0;
    815. 

  815. <a name="l00716"></a>00716                         X[2]=0.0;
    816. 

  816. <a name="l00717"></a>00717                         X[3]=sqrt(5.0-2.0*sqrt(10.0/7.0))/3.0;
    817. 

  817. <a name="l00718"></a>00718                         X[4]=sqrt(5.0+2.0*sqrt(10.0/7.0))/3.0;
    818. 

  818. <a name="l00719"></a>00719                         W[0]=(322.0-13.0*sqrt(70.0))/900.0;
    819. 

  819. <a name="l00720"></a>00720                         W[1]=(322.0+13.0*sqrt(70.0))/900.0;
    820. 

  820. <a name="l00721"></a>00721                         W[2]=128.0/225.0;
    821. 

  821. <a name="l00722"></a>00722                         W[3]=(322.0+13.0*sqrt(70.0))/900.0;
    822. 

  822. <a name="l00723"></a>00723                         W[4]=(322.0-13.0*sqrt(70.0))/900.0;
    823. 

  823. <a name="l00724"></a>00724                         <span class="keywordflow">return</span>;
    824. 

  824. <a name="l00725"></a>00725                 <span class="keywordflow">default</span>:
    825. 

  825. <a name="l00726"></a>00726                         <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;The requested quadrature have not been defined&quot;</span>);
    826. 

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

  827. <a name="l00728"></a>00728 }
    828. 

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

  829. <a name="l00730"></a>00730 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    830. 

  830. <a name="l00731"></a>00731 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::integral</a>(<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; X,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; W,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; xVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; yVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeVals)
    831. 

  831. <a name="l00732"></a>00732 {
    832. 

  832. <a name="l00733"></a>00733         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> retVal=0.0;
    833. 

  833. <a name="l00734"></a>00734         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;X.size();i++)
    834. 

  834. <a name="l00735"></a>00735                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;X.size();j++)
    835. 

  835. <a name="l00736"></a>00736                         retVal+=value(X[i],X[j],nodeVals)*W[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*W[j]*jacobian(X[i],X[j],xVals,yVals);
    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="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    840. 

  840. <a name="l00741"></a>00741 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;::integralSquare</a>(<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; X,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; W,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; xVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; yVals,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeValsA,<span class="keyword">const</span> std::vector&lt;dataType&gt;&amp; nodeValsB)
    841. 

  841. <a name="l00742"></a>00742 {
    842. 

  842. <a name="l00743"></a>00743         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> retVal=0.0;
    843. 

  843. <a name="l00744"></a>00744         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;X.size();i++)
    844. 

  844. <a name="l00745"></a>00745                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;X.size();j++)
    845. 

  845. <a name="l00746"></a>00746                         retVal+=value(X[i],X[j],nodeValsA)*value(X[i],X[j],nodeValsB)*W[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*W[j]*jacobian(X[i],X[j],xVals,yVals);
    846. 

  846. <a name="l00747"></a>00747         <span class="keywordflow">return</span> retVal;
    847. 

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

  848. <a name="l00749"></a>00749 
    849. 

  849. <a name="l00750"></a>00750 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    850. 

  850. <a name="l00751"></a><a class="code" href="meshSudo_8cpp.html#a29e5c31e77f04548e0340e7d367e6ca5">00751</a> std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out,const mesh&lt;dataType&gt;&amp; msh)
    851. 

  851. <a name="l00752"></a>00752 {
    852. 

  852. <a name="l00753"></a>00753         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;msh.elms.size();i++)
    853. 

  853. <a name="l00754"></a>00754         {
    854. 

  854. <a name="l00755"></a>00755                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;msh.elms[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].nodeHndl.size();j++)
    855. 

  855. <a name="l00756"></a>00756                 {
    856. 

  856. <a name="l00757"></a>00757                         out &lt;&lt; msh.nds[msh.elms[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].nodeHndl[j].nodeID];
    857. 

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

  858. <a name="l00759"></a>00759                 out &lt;&lt; msh.nds[msh.elms[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].nodeHndl[0].nodeID];
    859. 

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

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

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

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

  863. <a name="l00764"></a>00764 <span class="comment">// lets say there is a box that has a constant topology mesh in it</span>
    864. 

  864. <a name="l00765"></a>00765 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    865. 

  865. <a name="l00766"></a><a class="code" href="classbox.html">00766</a> <span class="keyword">class </span><a class="code" href="classbox.html">box</a>
    866. 

  866. <a name="l00767"></a>00767 {
    867. 

  867. <a name="l00768"></a>00768         <span class="keyword">public</span>:
    868. 

  868. <a name="l00769"></a>00769 
    869. 

  869. <a name="l00770"></a><a class="code" href="classbox.html#ad0f62fd2ce6d906916515fb0a78a1d8a">00770</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classbox.html#ad0f62fd2ce6d906916515fb0a78a1d8a">material</a>;
    870. 

  870. <a name="l00771"></a>00771 
    871. 

  871. <a name="l00772"></a><a class="code" href="classbox.html#a0518df8926e9945b9fcbfa77a4eceec9">00772</a>                 <a class="code" href="classbox.html#a0518df8926e9945b9fcbfa77a4eceec9">box</a>(<a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* material_in=NULL) : <a class="code" href="classbox.html#ad0f62fd2ce6d906916515fb0a78a1d8a">material</a>(material_in)
    872. 

  872. <a name="l00773"></a>00773                 {}
    873. 

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

  874. <a name="l00775"></a><a class="code" href="classbox.html#a82d89ef2460e52a429ed4a873a1d60e0">00775</a>                 <a class="code" href="classbox.html#a0518df8926e9945b9fcbfa77a4eceec9">box</a>(<span class="keyword">const</span> <a class="code" href="classbox.html">box&lt;dataType&gt;</a>&amp; asg) : <a class="code" href="classbox.html#ad0f62fd2ce6d906916515fb0a78a1d8a">material</a>(asg.<a class="code" href="classbox.html#ad0f62fd2ce6d906916515fb0a78a1d8a">material</a>)
    875. 

  875. <a name="l00776"></a>00776                 {}
    876. 

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

  877. <a name="l00778"></a><a class="code" href="classbox.html#afad0b54143370dc8c01aa042eed7998a">00778</a>                 <span class="keyword">virtual</span> <a class="code" href="classbox.html#afad0b54143370dc8c01aa042eed7998a">~box</a>()
    878. 

  878. <a name="l00779"></a>00779                 {}
    879. 

  879. <a name="l00780"></a>00780 
    880. 

  880. <a name="l00781"></a>00781                 <span class="comment">// now we need some methods to retrieve the mesh</span>
    881. 

  881. <a name="l00782"></a>00782                 <span class="keyword">virtual</span> <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a> <a class="code" href="classbox.html#a33d0339c38cb265c96813bcb41ce1666">getMesh</a>() <span class="keyword">const</span>=0;
    882. 

  882. <a name="l00783"></a>00783 };
    883. 

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

  884. <a name="l00785"></a>00785 <span class="comment">// lets define a set of information that would be common to all adjacent box&#39;s</span>
    885. 

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

  886. <a name="l00787"></a>00787 <span class="comment">// this is a family of curves that are common to a set of adjacent curves</span>
    887. 

  887. <a name="l00788"></a>00788 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    888. 

  888. <a name="l00789"></a><a class="code" href="classcommonEW.html">00789</a> <span class="keyword">class </span><a class="code" href="classcommonEW.html">commonEW</a>
    889. 

  889. <a name="l00790"></a>00790 {
    890. 

  890. <a name="l00791"></a>00791         <span class="keyword">public</span>:
    891. 

  891. <a name="l00792"></a>00792 
    892. 

  892. <a name="l00793"></a><a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">00793</a>                 std::vector&lt;curve&lt;dataType&gt;*&gt; <a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>;
    893. 

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

  894. <a name="l00795"></a><a class="code" href="classcommonEW.html#ad20a68921c019d7aa5f997ab6b9c5784">00795</a>                 <a class="code" href="classcommonEW.html#ad20a68921c019d7aa5f997ab6b9c5784">commonEW</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz=0) : <a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>(sz,NULL)
    895. 

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

  896. <a name="l00797"></a>00797 
    897. 

  897. <a name="l00798"></a><a class="code" href="classcommonEW.html#a309717dcd7ec6fc729f31defebfa3dda">00798</a>                 <a class="code" href="classcommonEW.html#ad20a68921c019d7aa5f997ab6b9c5784">commonEW</a>(<span class="keyword">const</span> <a class="code" href="classcommonEW.html">commonEW&lt;dataType&gt;</a>&amp; asg) : <a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>(asg.size(),NULL)
    898. 

  898. <a name="l00799"></a>00799                 {
    899. 

  899. <a name="l00800"></a>00800                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;<a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>.size();i++)
    900. 

  900. <a name="l00801"></a>00801                                 this-&gt;<a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>[i]=asg.<a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>[i];
    901. 

  901. <a name="l00802"></a>00802                 }
    902. 

  902. <a name="l00803"></a>00803 
    903. 

  903. <a name="l00804"></a><a class="code" href="classcommonEW.html#a202b477f608477365b1e9fe58d72d2e7">00804</a>                 <a class="code" href="classcommonEW.html#a202b477f608477365b1e9fe58d72d2e7">~commonEW</a>()
    904. 

  904. <a name="l00805"></a>00805                 {}
    905. 

  905. <a name="l00806"></a>00806 
    906. 

  906. <a name="l00807"></a><a class="code" href="classcommonEW.html#af03cb0f988588d34a4fc7243a7dc1b85">00807</a>                 <a class="code" href="classcommonEW.html">commonEW&lt;dataType&gt;</a>&amp; <a class="code" href="classcommonEW.html#af03cb0f988588d34a4fc7243a7dc1b85">operator=</a>(<span class="keyword">const</span> <a class="code" href="classcommonEW.html">commonEW&lt;dataType&gt;</a>&amp; asg)
    907. 

  907. <a name="l00808"></a>00808                 {
    908. 

  908. <a name="l00809"></a>00809                         this-&gt;<a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>.resize(asg.size());
    909. 

  909. <a name="l00810"></a>00810                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;<a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>.size();i++)
    910. 

  910. <a name="l00811"></a>00811                                 this-&gt;<a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>[i]=asg.<a class="code" href="classcommonEW.html#adc4545c6344cfb9b1bbf3c8596e2e78b">curves</a>[i];
    911. 

  911. <a name="l00812"></a>00812                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    912. 

  912. <a name="l00813"></a>00813                 }
    913. 

  913. <a name="l00814"></a>00814 };
    914. 

  914. <a name="l00815"></a>00815 
    915. 

  915. <a name="l00816"></a>00816 <span class="comment">// this is the number of internal points that are used in the mesh along a curve. This data is common to all adjacent blocks</span>
    916. 

  916. <a name="l00817"></a><a class="code" href="classcommonNS.html">00817</a> <span class="keyword">class </span><a class="code" href="classcommonNS.html">commonNS</a>
    917. 

  917. <a name="l00818"></a>00818 {
    918. 

  918. <a name="l00819"></a>00819         <span class="keyword">public</span>:
    919. 

  919. <a name="l00820"></a>00820 
    920. 

  920. <a name="l00821"></a>00821                 <span class="comment">// the number of internal points</span>
    921. 

  921. <a name="l00822"></a><a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">00822</a>                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">nInt</a>;
    922. 

  922. <a name="l00823"></a>00823 
    923. 

  923. <a name="l00824"></a><a class="code" href="classcommonNS.html#a93c70a42970016d6a6ac31ef406ae2ba">00824</a>                 <a class="code" href="classcommonNS.html#a93c70a42970016d6a6ac31ef406ae2ba">commonNS</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> nInt_in=0) : <a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">nInt</a>(nInt_in)
    924. 

  924. <a name="l00825"></a>00825                 {}
    925. 

  925. <a name="l00826"></a>00826 
    926. 

  926. <a name="l00827"></a><a class="code" href="classcommonNS.html#aef55920512347b77a6cddf6dbb6489e0">00827</a>                 <a class="code" href="classcommonNS.html#a93c70a42970016d6a6ac31ef406ae2ba">commonNS</a>(<span class="keyword">const</span> <a class="code" href="classcommonNS.html">commonNS</a>&amp; asg) : <a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">nInt</a>(asg.<a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">nInt</a>)
    927. 

  927. <a name="l00828"></a>00828                 {}
    928. 

  928. <a name="l00829"></a>00829 
    929. 

  929. <a name="l00830"></a><a class="code" href="classcommonNS.html#ab69f25879e2b613f4ed3fd9af4aec3be">00830</a>                 <a class="code" href="classcommonNS.html#ab69f25879e2b613f4ed3fd9af4aec3be">~commonNS</a>()
    930. 

  930. <a name="l00831"></a>00831                 {}
    931. 

  931. <a name="l00832"></a>00832 
    932. 

  932. <a name="l00833"></a><a class="code" href="classcommonNS.html#abba08fee37012d8f8386f101c0de981d">00833</a>                 <a class="code" href="classcommonNS.html">commonNS</a>&amp; <a class="code" href="classcommonNS.html#abba08fee37012d8f8386f101c0de981d">operator=</a>(<span class="keyword">const</span> <a class="code" href="classcommonNS.html">commonNS</a>&amp; asg)
    933. 

  933. <a name="l00834"></a>00834                 {
    934. 

  934. <a name="l00835"></a>00835                         this-&gt;<a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">nInt</a>=asg.<a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">nInt</a>;
    935. 

  935. <a name="l00836"></a>00836                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    936. 

  936. <a name="l00837"></a>00837                 }
    937. 

  937. <a name="l00838"></a>00838 };
    938. 

  938. <a name="l00839"></a>00839 
    939. 

  939. <a name="l00840"></a>00840 <span class="comment">// at an intersect between two blocks connected at a curve, this defines the start and end of the interface.</span>
    940. 

  940. <a name="l00841"></a>00841 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    941. 

  941. <a name="l00842"></a><a class="code" href="classcommonPoint.html">00842</a> <span class="keyword">class </span><a class="code" href="classcommonPoint.html">commonPoint</a>
    942. 

  942. <a name="l00843"></a>00843 {
    943. 

  943. <a name="l00844"></a>00844         <span class="keyword">public</span>:
    944. 

  944. <a name="l00845"></a>00845 
    945. 

  945. <a name="l00846"></a><a class="code" href="classcommonPoint.html#ab91ab26b198fcf48c3cb581cb397ab16">00846</a>                 <span class="keyword">virtual</span> <a class="code" href="classcommonPoint.html#ab91ab26b198fcf48c3cb581cb397ab16">~commonPoint</a>()
    946. 

  946. <a name="l00847"></a>00847                 {}
    947. 

  947. <a name="l00848"></a>00848 
    948. 

  948. <a name="l00849"></a>00849                 <span class="keyword">virtual</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <span class="keyword">get</span>() <span class="keyword">const</span>=0;
    949. 

  949. <a name="l00850"></a>00850 };
    950. 

  950. <a name="l00851"></a>00851 
    951. 

  951. <a name="l00852"></a>00852 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    952. 

  952. <a name="l00853"></a><a class="code" href="classcommonPoint__Data.html">00853</a> <span class="keyword">class </span><a class="code" href="classcommonPoint__Data.html">commonPoint_Data</a> : <span class="keyword">public</span> <a class="code" href="classcommonPoint.html">commonPoint</a>&lt;dataType&gt;
    953. 

  953. <a name="l00854"></a>00854 {
    954. 

  954. <a name="l00855"></a>00855         <span class="keyword">public</span>:
    955. 

  955. <a name="l00856"></a>00856 
    956. 

  956. <a name="l00857"></a><a class="code" href="classcommonPoint__Data.html#a29773035d7b102059354220827b49951">00857</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcommonPoint__Data.html#a29773035d7b102059354220827b49951">s</a>;
    957. 

  957. <a name="l00858"></a>00858 
    958. 

  958. <a name="l00859"></a><a class="code" href="classcommonPoint__Data.html#a925f77e28a7790890109b6b715e2d9a1">00859</a>                 <a class="code" href="classcommonPoint__Data.html#a925f77e28a7790890109b6b715e2d9a1">commonPoint_Data</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s_in=0.0) : s(s_in)
    959. 

  959. <a name="l00860"></a>00860                 {}
    960. 

  960. <a name="l00861"></a>00861 
    961. 

  961. <a name="l00862"></a><a class="code" href="classcommonPoint__Data.html#a2a8809c6135e76a82ebb98ebce78e227">00862</a>                 <a class="code" href="classcommonPoint__Data.html#a925f77e28a7790890109b6b715e2d9a1">commonPoint_Data</a>(<span class="keyword">const</span> <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a>&amp; asg) : s(asg.s)
    962. 

  962. <a name="l00863"></a>00863                 {}
    963. 

  963. <a name="l00864"></a>00864 
    964. 

  964. <a name="l00865"></a><a class="code" href="classcommonPoint__Data.html#a9e48e76dcbf49f32564b4e7162d8e76f">00865</a>                 <span class="keyword">virtual</span> <a class="code" href="classcommonPoint__Data.html#a9e48e76dcbf49f32564b4e7162d8e76f">~commonPoint_Data</a>()
    965. 

  965. <a name="l00866"></a>00866                 {}
    966. 

  966. <a name="l00867"></a>00867 
    967. 

  967. <a name="l00868"></a><a class="code" href="classcommonPoint__Data.html#a06dad9d1fc48cfb8b976211de88d49b5">00868</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a>&amp; <a class="code" href="classcommonPoint__Data.html#a06dad9d1fc48cfb8b976211de88d49b5">operator=</a>(<span class="keyword">const</span> <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a>&amp; asg)
    968. 

  968. <a name="l00869"></a>00869                 {
    969. 

  969. <a name="l00870"></a>00870                         this-&gt;s=asg.<a class="code" href="classcommonPoint__Data.html#a29773035d7b102059354220827b49951">s</a>;
    970. 

  970. <a name="l00871"></a>00871                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    971. 

  971. <a name="l00872"></a>00872                 }
    972. 

  972. <a name="l00873"></a>00873 
    973. 

  973. <a name="l00874"></a><a class="code" href="classcommonPoint__Data.html#ab2aa698d86f55d29f1026b310040b27f">00874</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <span class="keyword">get</span>() <span class="keyword">const</span>
    974. 

  974. <a name="l00875"></a>00875                 {
    975. 

  975. <a name="l00876"></a>00876                         <span class="keywordflow">return</span> <a class="code" href="classcommonPoint__Data.html#a29773035d7b102059354220827b49951">s</a>;
    976. 

  976. <a name="l00877"></a>00877                 }
    977. 

  977. <a name="l00878"></a>00878 };
    978. 

  978. <a name="l00879"></a>00879 
    979. 

  979. <a name="l00880"></a>00880 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    980. 

  980. <a name="l00881"></a><a class="code" href="classcommonPoint__Wrap.html">00881</a> <span class="keyword">class </span><a class="code" href="classcommonPoint__Wrap.html">commonPoint_Wrap</a> : <span class="keyword">public</span> <a class="code" href="classcommonPoint.html">commonPoint</a>&lt;dataType&gt;
    981. 

  981. <a name="l00882"></a>00882 {
    982. 

  982. <a name="l00883"></a>00883         <span class="keyword">public</span>:
    983. 

  983. <a name="l00884"></a>00884 
    984. 

  984. <a name="l00885"></a><a class="code" href="classcommonPoint__Wrap.html#acc03cbaa8c4318bcf79225cbb9961aae">00885</a>                 <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* <a class="code" href="classcommonPoint__Wrap.html#acc03cbaa8c4318bcf79225cbb9961aae">pnt</a>;
    985. 

  985. <a name="l00886"></a>00886 
    986. 

  986. <a name="l00887"></a><a class="code" href="classcommonPoint__Wrap.html#adda885cf958503f26cb23d9457577268">00887</a>                 <a class="code" href="classcommonPoint__Wrap.html#adda885cf958503f26cb23d9457577268">commonPoint_Wrap</a>(<a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* pnt_in=NULL) : <a class="code" href="classcommonPoint__Wrap.html#acc03cbaa8c4318bcf79225cbb9961aae">pnt</a>(pnt_in)
    987. 

  987. <a name="l00888"></a>00888                 {}
    988. 

  988. <a name="l00889"></a>00889 
    989. 

  989. <a name="l00890"></a><a class="code" href="classcommonPoint__Wrap.html#acea0335602053b308499d5e6000a96ad">00890</a>                 <a class="code" href="classcommonPoint__Wrap.html#adda885cf958503f26cb23d9457577268">commonPoint_Wrap</a>(<span class="keyword">const</span> <a class="code" href="classcommonPoint__Wrap.html">commonPoint_Wrap&lt;dataType&gt;</a>&amp; asg) : <a class="code" href="classcommonPoint__Wrap.html#acc03cbaa8c4318bcf79225cbb9961aae">pnt</a>(asg.<a class="code" href="classcommonPoint__Wrap.html#acc03cbaa8c4318bcf79225cbb9961aae">pnt</a>)
    990. 

  990. <a name="l00891"></a>00891                 {}
    991. 

  991. <a name="l00892"></a>00892 
    992. 

  992. <a name="l00893"></a><a class="code" href="classcommonPoint__Wrap.html#a9fb008642b046641698aae452510b7e3">00893</a>                 <span class="keyword">virtual</span> <a class="code" href="classcommonPoint__Wrap.html#a9fb008642b046641698aae452510b7e3">~commonPoint_Wrap</a>()
    993. 

  993. <a name="l00894"></a>00894                 {}
    994. 

  994. <a name="l00895"></a>00895 
    995. 

  995. <a name="l00896"></a><a class="code" href="classcommonPoint__Wrap.html#a895da31cd7f73fa8a5b1c1fbc1f05dbc">00896</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <span class="keyword">get</span>() <span class="keyword">const</span>
    996. 

  996. <a name="l00897"></a>00897                 {
    997. 

  997. <a name="l00898"></a>00898                         <span class="keywordflow">if</span>(<a class="code" href="classcommonPoint__Wrap.html#acc03cbaa8c4318bcf79225cbb9961aae">pnt</a>==NULL)
    998. 

  998. <a name="l00899"></a>00899                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;commonPoint_wrap::get(): The pointer has not been set&quot;</span>);
    999. 

  999. <a name="l00900"></a>00900                         <span class="keywordflow">return</span> <a class="code" href="classcommonPoint__Wrap.html#acc03cbaa8c4318bcf79225cbb9961aae">pnt</a>-&gt;get()+1.0;
    1000. 

  1000. <a name="l00901"></a>00901                 }
    1001. 

  1001. <a name="l00902"></a>00902 };
    1002. 

  1002. <a name="l00903"></a>00903 
    1003. 

  1003. <a name="l00904"></a>00904 <span class="comment">// there is a version that is bound by two curves... but contains several intermediate curves</span>
    1004. 

  1004. <a name="l00905"></a>00905 <span class="comment">// the ends of the box are defined by two lines between the top and bottom...</span>
    1005. 

  1005. <a name="l00906"></a>00906 <span class="comment">// then we define a set of cross lines evenly spaced</span>
    1006. 

  1006. <a name="l00907"></a>00907 
    1007. 

  1007. <a name="l00908"></a>00908 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    1008. 

  1008. <a name="l00909"></a><a class="code" href="classbox__basic.html">00909</a> <span class="keyword">class </span><a class="code" href="classbox__basic.html">box_basic</a> : <span class="keyword">public</span> <a class="code" href="classbox.html">box</a>&lt;dataType&gt;
    1009. 

  1009. <a name="l00910"></a>00910 {
    1010. 

  1010. <a name="l00911"></a>00911         <span class="keyword">public</span>:
    1011. 

  1011. <a name="l00912"></a>00912 
    1012. 

  1012. <a name="l00913"></a><a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">00913</a>                 <a class="code" href="classcommonEW.html">commonEW&lt;dataType&gt;</a>* <a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>;
    1013. 

  1013. <a name="l00914"></a><a class="code" href="classbox__basic.html#a70a902aaeccf1152fc8270aa34007e9e">00914</a>                 <a class="code" href="classcommonNS.html">commonNS</a>* <a class="code" href="classbox__basic.html#a70a902aaeccf1152fc8270aa34007e9e">ns</a>;
    1014. 

  1014. <a name="l00915"></a><a class="code" href="classbox__basic.html#a2dd0ad1a73fbaea8308aff4b72e3a3bd">00915</a>                 <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* <a class="code" href="classbox__basic.html#a2dd0ad1a73fbaea8308aff4b72e3a3bd">ne</a>;
    1015. 

  1015. <a name="l00916"></a><a class="code" href="classbox__basic.html#aae0196c6e8261e7f6af27ffba12dee4c">00916</a>                 <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* <a class="code" href="classbox__basic.html#aae0196c6e8261e7f6af27ffba12dee4c">nw</a>;
    1016. 

  1016. <a name="l00917"></a><a class="code" href="classbox__basic.html#af590f7b16d9d22ab2ef3066231cdfa3f">00917</a>                 <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* <a class="code" href="classbox__basic.html#af590f7b16d9d22ab2ef3066231cdfa3f">sw</a>;
    1017. 

  1017. <a name="l00918"></a><a class="code" href="classbox__basic.html#a6fd6cad54fbd2bc1d0729da620b0633d">00918</a>                 <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* <a class="code" href="classbox__basic.html#a6fd6cad54fbd2bc1d0729da620b0633d">se</a>;
    1018. 

  1018. <a name="l00919"></a>00919 
    1019. 

  1019. <a name="l00920"></a><a class="code" href="classbox__basic.html#a68fe81fc153b69046a5194f15fe35b29">00920</a>                 <a class="code" href="classbox__basic.html#a68fe81fc153b69046a5194f15fe35b29">box_basic</a>(
    1020. 

  1020. <a name="l00921"></a>00921                         <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* material_in=NULL,
    1021. 

  1021. <a name="l00922"></a>00922                         <a class="code" href="classcommonEW.html">commonEW&lt;dataType&gt;</a>* ew_in=NULL,
    1022. 

  1022. <a name="l00923"></a>00923                         <a class="code" href="classcommonNS.html">commonNS</a>* ns_in=NULL,
    1023. 

  1023. <a name="l00924"></a>00924                         <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* ne_in=NULL,
    1024. 

  1024. <a name="l00925"></a>00925                         <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* nw_in=NULL,
    1025. 

  1025. <a name="l00926"></a>00926                         <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* sw_in=NULL,
    1026. 

  1026. <a name="l00927"></a>00927                         <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* se_in=NULL)
    1027. 

  1027. <a name="l00928"></a>00928                                 : <a class="code" href="classbox.html">box</a>&lt;<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&gt;(material_in)
    1028. 

  1028. <a name="l00929"></a>00929                                 , <a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>(ew_in) , <a class="code" href="classbox__basic.html#a70a902aaeccf1152fc8270aa34007e9e">ns</a>(ns_in) , <a class="code" href="classbox__basic.html#a2dd0ad1a73fbaea8308aff4b72e3a3bd">ne</a>(ne_in)
    1029. 

  1029. <a name="l00930"></a>00930                                 , <a class="code" href="classbox__basic.html#aae0196c6e8261e7f6af27ffba12dee4c">nw</a>(nw_in) , <a class="code" href="classbox__basic.html#af590f7b16d9d22ab2ef3066231cdfa3f">sw</a>(sw_in) , <a class="code" href="classbox__basic.html#a6fd6cad54fbd2bc1d0729da620b0633d">se</a>(se_in)
    1030. 

  1030. <a name="l00931"></a>00931                 {}
    1031. 

  1031. <a name="l00932"></a>00932 
    1032. 

  1032. <a name="l00933"></a><a class="code" href="classbox__basic.html#ac59822d4e1c7a2f6cc3efa0725abe636">00933</a>                 <a class="code" href="classbox__basic.html#a68fe81fc153b69046a5194f15fe35b29">box_basic</a>(<span class="keyword">const</span> <a class="code" href="classbox__basic.html">box_basic&lt;dataType&gt;</a>&amp; asg)
    1033. 

  1033. <a name="l00934"></a>00934                                 : <a class="code" href="classbox.html">box</a>&lt;<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&gt;(asg.<a class="code" href="classbox.html#ad0f62fd2ce6d906916515fb0a78a1d8a">material</a>)
    1034. 

  1034. <a name="l00935"></a>00935                                 , <a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>(asg.<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>) , <a class="code" href="classbox__basic.html#a70a902aaeccf1152fc8270aa34007e9e">ns</a>(asg.<a class="code" href="classbox__basic.html#a70a902aaeccf1152fc8270aa34007e9e">ns</a>) , <a class="code" href="classbox__basic.html#a2dd0ad1a73fbaea8308aff4b72e3a3bd">ne</a>(asg.<a class="code" href="classbox__basic.html#a2dd0ad1a73fbaea8308aff4b72e3a3bd">ne</a>)
    1035. 

  1035. <a name="l00936"></a>00936                                 , <a class="code" href="classbox__basic.html#aae0196c6e8261e7f6af27ffba12dee4c">nw</a>(asg.<a class="code" href="classbox__basic.html#aae0196c6e8261e7f6af27ffba12dee4c">nw</a>) , <a class="code" href="classbox__basic.html#af590f7b16d9d22ab2ef3066231cdfa3f">sw</a>(asg.<a class="code" href="classbox__basic.html#af590f7b16d9d22ab2ef3066231cdfa3f">sw</a>) , <a class="code" href="classbox__basic.html#a6fd6cad54fbd2bc1d0729da620b0633d">se</a>(asg.<a class="code" href="classbox__basic.html#a6fd6cad54fbd2bc1d0729da620b0633d">se</a>)
    1036. 

  1036. <a name="l00937"></a>00937                 {}
    1037. 

  1037. <a name="l00938"></a>00938 
    1038. 

  1038. <a name="l00939"></a><a class="code" href="classbox__basic.html#a27239b610aa25e549d43140862b84e65">00939</a>                 <span class="keyword">virtual</span> <a class="code" href="classbox__basic.html#a27239b610aa25e549d43140862b84e65">~box_basic</a>()
    1039. 

  1039. <a name="l00940"></a>00940                 {}
    1040. 

  1040. <a name="l00941"></a>00941 
    1041. 

  1041. <a name="l00942"></a><a class="code" href="classbox__basic.html#aa6eb5a2e2e14589078d0adf617828958">00942</a>                 <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a> <a class="code" href="classbox__basic.html#aa6eb5a2e2e14589078d0adf617828958">getMesh</a>()<span class="keyword"> const</span>
    1042. 

  1042. <a name="l00943"></a>00943 <span class="keyword">                </span>{
    1043. 

  1043. <a name="l00944"></a>00944                         <span class="keywordflow">if</span>(<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>==NULL || <a class="code" href="classbox__basic.html#a70a902aaeccf1152fc8270aa34007e9e">ns</a>==NULL || <a class="code" href="classbox__basic.html#a2dd0ad1a73fbaea8308aff4b72e3a3bd">ne</a>==NULL || <a class="code" href="classbox__basic.html#aae0196c6e8261e7f6af27ffba12dee4c">nw</a>==NULL || <a class="code" href="classbox__basic.html#af590f7b16d9d22ab2ef3066231cdfa3f">sw</a>==NULL || <a class="code" href="classbox__basic.html#a6fd6cad54fbd2bc1d0729da620b0633d">se</a>==NULL)
    1044. 

  1044. <a name="l00945"></a>00945                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;box_basic&lt;&gt;::getMesh(): the box information has not been defined&quot;</span>);
    1045. 

  1045. <a name="l00946"></a>00946 
    1046. 

  1046. <a name="l00947"></a>00947                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> x=<a class="code" href="classbox__basic.html#a70a902aaeccf1152fc8270aa34007e9e">ns</a>-&gt;<a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">nInt</a>;
    1047. 

  1047. <a name="l00948"></a>00948                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> y=<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>-&gt;curves.size();
    1048. 

  1048. <a name="l00949"></a>00949                         <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a> retVal((x+1)*(y-1)+y+x+1,(x+1)*(y-1));
    1049. 

  1049. <a name="l00950"></a>00950 
    1050. 

  1050. <a name="l00951"></a>00951                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;(x+2);i++)
    1051. 

  1051. <a name="l00952"></a>00952                         {
    1052. 

  1052. <a name="l00953"></a>00953                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atS=<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>;
    1053. 

  1053. <a name="l00954"></a>00954                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> div=x+1;
    1054. 

  1054. <a name="l00955"></a>00955                                 atS/=div;
    1055. 

  1055. <a name="l00956"></a>00956                                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> start=<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>-&gt;curves[0]-&gt;getPosition(<a class="code" href="classbox__basic.html#a2dd0ad1a73fbaea8308aff4b72e3a3bd">ne</a>-&gt;get()*(1.0-atS)+<a class="code" href="classbox__basic.html#aae0196c6e8261e7f6af27ffba12dee4c">nw</a>-&gt;get()*atS);
    1056. 

  1056. <a name="l00957"></a>00957                                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> end=<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>-&gt;curves[<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>-&gt;curves.size()-1]-&gt;getPosition(<a class="code" href="classbox__basic.html#a6fd6cad54fbd2bc1d0729da620b0633d">se</a>-&gt;get()*(1.0-atS)+<a class="code" href="classbox__basic.html#af590f7b16d9d22ab2ef3066231cdfa3f">sw</a>-&gt;get()*atS);
    1057. 

  1057. <a name="l00958"></a>00958                                 <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a> <a class="code" href="vector_01functions_8cpp.html#a0881962290c575e179efea1532ba31fa">cross</a>(start,end-start);
    1058. 

  1058. <a name="l00959"></a>00959                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;y;j++)
    1059. 

  1059. <a name="l00960"></a>00960                                 {
    1060. 

  1060. <a name="l00961"></a>00961                                         <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> data;
    1061. 

  1061. <a name="l00962"></a>00962                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atH=j;
    1062. 

  1062. <a name="l00963"></a>00963                                         div=y-1;
    1063. 

  1063. <a name="l00964"></a>00964                                         atH/=div;
    1064. 

  1064. <a name="l00965"></a>00965 
    1065. 

  1065. <a name="l00966"></a>00966                                         <span class="comment">// this may seem redundant but it was done out of paranoya.</span>
    1066. 

  1066. <a name="l00967"></a>00967                                         <span class="comment">// I wanted to make sure that all corner node locations were found with the same logic</span>
    1067. 

  1067. <a name="l00968"></a>00968                                         <span class="keywordflow">if</span>( j==0 || j==(y-1) )
    1068. 

  1068. <a name="l00969"></a>00969                                         {
    1069. 

  1069. <a name="l00970"></a>00970                                                 <span class="keywordflow">if</span>(i==0)
    1070. 

  1070. <a name="l00971"></a>00971                                                 {
    1071. 

  1071. <a name="l00972"></a>00972                                                         <span class="keywordflow">if</span>(j==0)
    1072. 

  1072. <a name="l00973"></a>00973                                                         {
    1073. 

  1073. <a name="l00974"></a>00974                                                                 data=<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>-&gt;curves[j]-&gt;getPointData(<a class="code" href="classbox__basic.html#a2dd0ad1a73fbaea8308aff4b72e3a3bd">ne</a>-&gt;get());
    1074. 

  1074. <a name="l00975"></a>00975                                                         }
    1075. 

  1075. <a name="l00976"></a>00976                                                         <span class="keywordflow">else</span>
    1076. 

  1076. <a name="l00977"></a>00977                                                         {
    1077. 

  1077. <a name="l00978"></a>00978                                                                 data=<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>-&gt;curves[j]-&gt;getPointData(<a class="code" href="classbox__basic.html#a6fd6cad54fbd2bc1d0729da620b0633d">se</a>-&gt;get());
    1078. 

  1078. <a name="l00979"></a>00979                                                         }
    1079. 

  1079. <a name="l00980"></a>00980                                                 }
    1080. 

  1080. <a name="l00981"></a>00981                                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(i==(x+1))
    1081. 

  1081. <a name="l00982"></a>00982                                                 {
    1082. 

  1082. <a name="l00983"></a>00983                                                         <span class="keywordflow">if</span>(j==0)
    1083. 

  1083. <a name="l00984"></a>00984                                                         {
    1084. 

  1084. <a name="l00985"></a>00985                                                                 data=<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>-&gt;curves[j]-&gt;getPointData(<a class="code" href="classbox__basic.html#aae0196c6e8261e7f6af27ffba12dee4c">nw</a>-&gt;get());
    1085. 

  1085. <a name="l00986"></a>00986                                                         }
    1086. 

  1086. <a name="l00987"></a>00987                                                         <span class="keywordflow">else</span>
    1087. 

  1087. <a name="l00988"></a>00988                                                         {
    1088. 

  1088. <a name="l00989"></a>00989                                                                 data=<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>-&gt;curves[j]-&gt;getPointData(<a class="code" href="classbox__basic.html#af590f7b16d9d22ab2ef3066231cdfa3f">sw</a>-&gt;get());
    1089. 

  1089. <a name="l00990"></a>00990                                                         }
    1090. 

  1090. <a name="l00991"></a>00991                                                 }
    1091. 

  1091. <a name="l00992"></a>00992                                                 <span class="keywordflow">else</span>
    1092. 

  1092. <a name="l00993"></a>00993                                                 {
    1093. 

  1093. <a name="l00994"></a>00994                                                         <span class="keywordflow">if</span>(j==0)
    1094. 

  1094. <a name="l00995"></a>00995                                                         {
    1095. 

  1095. <a name="l00996"></a>00996                                                                 data=start;
    1096. 

  1096. <a name="l00997"></a>00997                                                         }
    1097. 

  1097. <a name="l00998"></a>00998                                                         <span class="keywordflow">else</span>
    1098. 

  1098. <a name="l00999"></a>00999                                                         {
    1099. 

  1099. <a name="l01000"></a>01000                                                                 data=end;
    1100. 

  1100. <a name="l01001"></a>01001                                                         }
    1101. 

  1101. <a name="l01002"></a>01002                                                 }
    1102. 

  1102. <a name="l01003"></a>01003                                         }
    1103. 

  1103. <a name="l01004"></a>01004                                         <span class="keywordflow">else</span>
    1104. 

  1104. <a name="l01005"></a>01005                                         {
    1105. 

  1105. <a name="l01006"></a>01006                                                 data=<a class="code" href="classbox__basic.html#ace4a55c64b484a8725a242a796344233">ew</a>-&gt;curves[j]-&gt;intersectAverageData(cross);
    1106. 

  1106. <a name="l01007"></a>01007                                         }
    1107. 

  1107. <a name="l01008"></a>01008                                         retVal.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i*y+j)=<a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>(data.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>,data.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>,atH);
    1108. 

  1108. <a name="l01009"></a>01009                                 }
    1109. 

  1109. <a name="l01010"></a>01010                         }
    1110. 

  1110. <a name="l01011"></a>01011                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;(x+1);i++)
    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> j=0;j&lt;(y-1);j++)
    1113. 

  1113. <a name="l01014"></a>01014                                 {
    1114. 

  1114. <a name="l01015"></a>01015                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y-1)+j).nodeHndl[0]=<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>(i*y+j,0);
    1115. 

  1115. <a name="l01016"></a>01016                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y-1)+j).nodeHndl[1]=<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>((i+1)*y+j,0);
    1116. 

  1116. <a name="l01017"></a>01017                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y-1)+j).nodeHndl[2]=<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>((i+1)*y+j+1,0);
    1117. 

  1117. <a name="l01018"></a>01018                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y-1)+j).nodeHndl[3]=<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>(i*y+j+1,0);
    1118. 

  1118. <a name="l01019"></a>01019                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y-1)+j).material=this-&gt;<a class="code" href="classbox.html#ad0f62fd2ce6d906916515fb0a78a1d8a">material</a>;
    1119. 

  1119. <a name="l01020"></a>01020                                 }
    1120. 

  1120. <a name="l01021"></a>01021                         }
    1121. 

  1121. <a name="l01022"></a>01022 
    1122. 

  1122. <a name="l01023"></a>01023                         <span class="keywordflow">return</span> retVal;
    1123. 

  1123. <a name="l01024"></a>01024                 }
    1124. 

  1124. <a name="l01025"></a>01025 };
    1125. 

  1125. <a name="l01026"></a>01026 
    1126. 

  1126. <a name="l01027"></a>01027 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    1127. 

  1127. <a name="l01028"></a><a class="code" href="classbox__web.html">01028</a> <span class="keyword">class </span><a class="code" href="classbox__web.html">box_web</a> : <span class="keyword">public</span> <a class="code" href="classbox.html">box</a>&lt;dataType&gt;
    1128. 

  1128. <a name="l01029"></a>01029 {
    1129. 

  1129. <a name="l01030"></a>01030         <span class="keyword">public</span>:
    1130. 

  1130. <a name="l01031"></a>01031 
    1131. 

  1131. <a name="l01032"></a><a class="code" href="classbox__web.html#a09bc36178d67732c16a4cd236f09d610">01032</a>                 <a class="code" href="classcurve.html">curve&lt;dataType&gt;</a>* <a class="code" href="classbox__web.html#a09bc36178d67732c16a4cd236f09d610">top</a>;
    1132. 

  1132. <a name="l01033"></a><a class="code" href="classbox__web.html#a051c91da1484cd7bfb6e9d64da0632d3">01033</a>                 <a class="code" href="classcurve.html">curve&lt;dataType&gt;</a>* <a class="code" href="classbox__web.html#a051c91da1484cd7bfb6e9d64da0632d3">bot</a>;
    1133. 

  1133. <a name="l01034"></a><a class="code" href="classbox__web.html#aaff111fb51525ba8b338292cec27a53a">01034</a>                 <a class="code" href="classcommonNS.html">commonNS</a>* <a class="code" href="classbox__web.html#aaff111fb51525ba8b338292cec27a53a">ns</a>;
    1134. 

  1134. <a name="l01035"></a><a class="code" href="classbox__web.html#a94f05a785d2139a95d4b78a9eb925bc2">01035</a>                 <a class="code" href="classcommonNS.html">commonNS</a>* <a class="code" href="classbox__web.html#a94f05a785d2139a95d4b78a9eb925bc2">ew</a>;
    1135. 

  1135. <a name="l01036"></a><a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">01036</a>                 <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* <a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">ne</a>;
    1136. 

  1136. <a name="l01037"></a><a class="code" href="classbox__web.html#a28367abd07a991d7d7b0c16969a3d16e">01037</a>                 <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* <a class="code" href="classbox__web.html#a28367abd07a991d7d7b0c16969a3d16e">nw</a>;
    1137. 

  1137. <a name="l01038"></a><a class="code" href="classbox__web.html#a188a69d68d8e0096baf254002bfaf023">01038</a>                 <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* <a class="code" href="classbox__web.html#a188a69d68d8e0096baf254002bfaf023">sw</a>;
    1138. 

  1138. <a name="l01039"></a><a class="code" href="classbox__web.html#a65b8afae0c1be1c5893a8e4487d06f72">01039</a>                 <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* <a class="code" href="classbox__web.html#a65b8afae0c1be1c5893a8e4487d06f72">se</a>;
    1139. 

  1139. <a name="l01040"></a>01040 
    1140. 

  1140. <a name="l01041"></a><a class="code" href="classbox__web.html#a8bd13fa8bdc7fea5bb9a2e2b53147cec">01041</a>                 <a class="code" href="classbox__web.html#a8bd13fa8bdc7fea5bb9a2e2b53147cec">box_web</a>(
    1141. 

  1141. <a name="l01042"></a>01042                         <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* material_in=NULL
    1142. 

  1142. <a name="l01043"></a>01043                         , <a class="code" href="classcurve.html">curve&lt;dataType&gt;</a>* top_in=NULL
    1143. 

  1143. <a name="l01044"></a>01044                         , <a class="code" href="classcurve.html">curve&lt;dataType&gt;</a>* bot_in=NULL
    1144. 

  1144. <a name="l01045"></a>01045                         , <a class="code" href="classcommonNS.html">commonNS</a>* ns_in=NULL
    1145. 

  1145. <a name="l01046"></a>01046                         , <a class="code" href="classcommonNS.html">commonNS</a>* ew_in=NULL
    1146. 

  1146. <a name="l01047"></a>01047                         , <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* ne_in=NULL
    1147. 

  1147. <a name="l01048"></a>01048                         , <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* nw_in=NULL
    1148. 

  1148. <a name="l01049"></a>01049                         , <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* sw_in=NULL
    1149. 

  1149. <a name="l01050"></a>01050                         , <a class="code" href="classcommonPoint.html">commonPoint&lt;dataType&gt;</a>* se_in=NULL)
    1150. 

  1150. <a name="l01051"></a>01051                                 : <a class="code" href="classbox.html">box</a>&lt;<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&gt;(material_in)
    1151. 

  1151. <a name="l01052"></a>01052                                 , <a class="code" href="classbox__web.html#a09bc36178d67732c16a4cd236f09d610">top</a>(top_in) , <a class="code" href="classbox__web.html#a051c91da1484cd7bfb6e9d64da0632d3">bot</a>(bot_in) , <a class="code" href="classbox__web.html#aaff111fb51525ba8b338292cec27a53a">ns</a>(ns_in) , <a class="code" href="classbox__web.html#a94f05a785d2139a95d4b78a9eb925bc2">ew</a>(ew_in)
    1152. 

  1152. <a name="l01053"></a>01053                                 , <a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">ne</a>(ne_in) , <a class="code" href="classbox__web.html#a28367abd07a991d7d7b0c16969a3d16e">nw</a>(nw_in) , <a class="code" href="classbox__web.html#a188a69d68d8e0096baf254002bfaf023">sw</a>(sw_in) , <a class="code" href="classbox__web.html#a65b8afae0c1be1c5893a8e4487d06f72">se</a>(se_in)
    1153. 

  1153. <a name="l01054"></a>01054                 {}
    1154. 

  1154. <a name="l01055"></a>01055 
    1155. 

  1155. <a name="l01056"></a><a class="code" href="classbox__web.html#ac0ae7d11bb5a090ee9a72d30d7ee663d">01056</a>                 <a class="code" href="classbox__web.html#a8bd13fa8bdc7fea5bb9a2e2b53147cec">box_web</a>(<span class="keyword">const</span> <a class="code" href="classbox__web.html">box_web&lt;dataType&gt;</a>&amp; asg)
    1156. 

  1156. <a name="l01057"></a>01057                                 : <a class="code" href="classbox.html">box</a>&lt;<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&gt;(asg.<a class="code" href="classbox.html#ad0f62fd2ce6d906916515fb0a78a1d8a">material</a>)
    1157. 

  1157. <a name="l01058"></a>01058                                 , <a class="code" href="classbox__web.html#a09bc36178d67732c16a4cd236f09d610">top</a>(asg.<a class="code" href="classbox__web.html#a09bc36178d67732c16a4cd236f09d610">top</a>) , <a class="code" href="classbox__web.html#a051c91da1484cd7bfb6e9d64da0632d3">bot</a>(asg.<a class="code" href="classbox__web.html#a051c91da1484cd7bfb6e9d64da0632d3">bot</a>) , <a class="code" href="classbox__web.html#aaff111fb51525ba8b338292cec27a53a">ns</a>(asg.<a class="code" href="classbox__web.html#aaff111fb51525ba8b338292cec27a53a">ns</a>) , <a class="code" href="classbox__web.html#a94f05a785d2139a95d4b78a9eb925bc2">ew</a>(asg.<a class="code" href="classbox__web.html#a94f05a785d2139a95d4b78a9eb925bc2">ew</a>)
    1158. 

  1158. <a name="l01059"></a>01059                                 , <a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">ne</a>(asg.<a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">ne</a>) , <a class="code" href="classbox__web.html#a28367abd07a991d7d7b0c16969a3d16e">nw</a>(asg.<a class="code" href="classbox__web.html#a28367abd07a991d7d7b0c16969a3d16e">nw</a>) , <a class="code" href="classbox__web.html#a188a69d68d8e0096baf254002bfaf023">sw</a>(asg.<a class="code" href="classbox__web.html#a188a69d68d8e0096baf254002bfaf023">sw</a>) , <a class="code" href="classbox__web.html#a65b8afae0c1be1c5893a8e4487d06f72">se</a>(asg.<a class="code" href="classbox__web.html#a65b8afae0c1be1c5893a8e4487d06f72">se</a>)
    1159. 

  1159. <a name="l01060"></a>01060                 {}
    1160. 

  1160. <a name="l01061"></a>01061 
    1161. 

  1161. <a name="l01062"></a><a class="code" href="classbox__web.html#ac7fc42e97b2f6e64d0ccfb44ad886b11">01062</a>                 <span class="keyword">virtual</span> <a class="code" href="classbox__web.html#ac7fc42e97b2f6e64d0ccfb44ad886b11">~box_web</a>()
    1162. 

  1162. <a name="l01063"></a>01063                 {}
    1163. 

  1163. <a name="l01064"></a>01064 
    1164. 

  1164. <a name="l01065"></a><a class="code" href="classbox__web.html#a71e22004952b94d2d7d02674457361e5">01065</a>                 <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a> <a class="code" href="classbox__web.html#a71e22004952b94d2d7d02674457361e5">getMesh</a>()<span class="keyword"> const</span>
    1165. 

  1165. <a name="l01066"></a>01066 <span class="keyword">                </span>{
    1166. 

  1166. <a name="l01067"></a>01067                         <span class="keywordflow">if</span>(<a class="code" href="classbox__web.html#a09bc36178d67732c16a4cd236f09d610">top</a>==NULL || <a class="code" href="classbox__web.html#a051c91da1484cd7bfb6e9d64da0632d3">bot</a>==NULL || <a class="code" href="classbox__web.html#aaff111fb51525ba8b338292cec27a53a">ns</a>==NULL || <a class="code" href="classbox__web.html#a94f05a785d2139a95d4b78a9eb925bc2">ew</a>==NULL || <a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">ne</a>==NULL || <a class="code" href="classbox__web.html#a28367abd07a991d7d7b0c16969a3d16e">nw</a>==NULL || <a class="code" href="classbox__web.html#a188a69d68d8e0096baf254002bfaf023">sw</a>==NULL || <a class="code" href="classbox__web.html#a65b8afae0c1be1c5893a8e4487d06f72">se</a>==NULL)
    1167. 

  1167. <a name="l01068"></a>01068                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;box_web&lt;&gt;::getMesh(): the box information has not been defined&quot;</span>);
    1168. 

  1168. <a name="l01069"></a>01069 
    1169. 

  1169. <a name="l01070"></a>01070                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> x=<a class="code" href="classbox__web.html#aaff111fb51525ba8b338292cec27a53a">ns</a>-&gt;<a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">nInt</a>;
    1170. 

  1170. <a name="l01071"></a>01071                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> y=<a class="code" href="classbox__web.html#a94f05a785d2139a95d4b78a9eb925bc2">ew</a>-&gt;<a class="code" href="classcommonNS.html#ac9d4698595b8ac865f4d0da1f9dacc2a">nInt</a>;
    1171. 

  1171. <a name="l01072"></a>01072                         <a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a> retVal((x+2)*(y+2),(x+1)*(y+1));
    1172. 

  1172. <a name="l01073"></a>01073 
    1173. 

  1173. <a name="l01074"></a>01074                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;(x+2);i++)
    1174. 

  1174. <a name="l01075"></a>01075                         {
    1175. 

  1175. <a name="l01076"></a>01076                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atH=<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>;
    1176. 

  1176. <a name="l01077"></a>01077                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> div=x+1;
    1177. 

  1177. <a name="l01078"></a>01078                                 atH/=div;
    1178. 

  1178. <a name="l01079"></a>01079                                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> start=<a class="code" href="classbox__web.html#a09bc36178d67732c16a4cd236f09d610">top</a>-&gt;getPosition(<a class="code" href="classbox__web.html#a28367abd07a991d7d7b0c16969a3d16e">nw</a>-&gt;get()*(1.0-atH)+<a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">ne</a>-&gt;get()*atH);
    1179. 

  1179. <a name="l01080"></a>01080                                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> end=<a class="code" href="classbox__web.html#a051c91da1484cd7bfb6e9d64da0632d3">bot</a>-&gt;getPosition(<a class="code" href="classbox__web.html#a188a69d68d8e0096baf254002bfaf023">sw</a>-&gt;get()*(1.0-atH)+<a class="code" href="classbox__web.html#a65b8afae0c1be1c5893a8e4487d06f72">se</a>-&gt;get()*atH);
    1180. 

  1180. <a name="l01081"></a>01081                                 <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a> <a class="code" href="vector_01functions_8cpp.html#a0881962290c575e179efea1532ba31fa">cross</a>(start,end-start);
    1181. 

  1181. <a name="l01082"></a>01082                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;(y+2);j++)
    1182. 

  1182. <a name="l01083"></a>01083                                 {
    1183. 

  1183. <a name="l01084"></a>01084                                         <span class="keywordflow">if</span>( (i==0 || i==(x+1)) &amp;&amp; (j==0 || j==(y+1)) )
    1184. 

  1184. <a name="l01085"></a>01085                                         {
    1185. 

  1185. <a name="l01086"></a>01086                                                 <span class="keywordflow">if</span>(i==0)
    1186. 

  1186. <a name="l01087"></a>01087                                                 {
    1187. 

  1187. <a name="l01088"></a>01088                                                         <span class="keywordflow">if</span>(j==0)
    1188. 

  1188. <a name="l01089"></a>01089                                                         {
    1189. 

  1189. <a name="l01090"></a>01090                                                                 retVal.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i*(y+2)+j)=<a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>(<a class="code" href="classbox__web.html#a09bc36178d67732c16a4cd236f09d610">top</a>-&gt;getPosition(<a class="code" href="classbox__web.html#a28367abd07a991d7d7b0c16969a3d16e">nw</a>-&gt;get()),atan2(cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.y,cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.x),atH);
    1190. 

  1190. <a name="l01091"></a>01091                                                         }
    1191. 

  1191. <a name="l01092"></a>01092                                                         <span class="keywordflow">else</span>
    1192. 

  1192. <a name="l01093"></a>01093                                                         {
    1193. 

  1193. <a name="l01094"></a>01094                                                                 retVal.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i*(y+2)+j)=<a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>(<a class="code" href="classbox__web.html#a051c91da1484cd7bfb6e9d64da0632d3">bot</a>-&gt;getPosition(<a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">ne</a>-&gt;get()),atan2(cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.y,cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.x),atH);
    1194. 

  1194. <a name="l01095"></a>01095                                                         }
    1195. 

  1195. <a name="l01096"></a>01096                                                 }
    1196. 

  1196. <a name="l01097"></a>01097                                                 <span class="keywordflow">else</span>
    1197. 

  1197. <a name="l01098"></a>01098                                                 {
    1198. 

  1198. <a name="l01099"></a>01099                                                         <span class="keywordflow">if</span>(j==0)
    1199. 

  1199. <a name="l01100"></a>01100                                                         {
    1200. 

  1200. <a name="l01101"></a>01101                                                                 retVal.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i*(y+2)+j)=<a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>(<a class="code" href="classbox__web.html#a09bc36178d67732c16a4cd236f09d610">top</a>-&gt;getPosition(<a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">ne</a>-&gt;get()),atan2(cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.y,cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.x),atH);
    1201. 

  1201. <a name="l01102"></a>01102                                                         }
    1202. 

  1202. <a name="l01103"></a>01103                                                         <span class="keywordflow">else</span>
    1203. 

  1203. <a name="l01104"></a>01104                                                         {
    1204. 

  1204. <a name="l01105"></a>01105                                                                 retVal.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i*(y+2)+j)=<a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>(<a class="code" href="classbox__web.html#a051c91da1484cd7bfb6e9d64da0632d3">bot</a>-&gt;getPosition(<a class="code" href="classbox__web.html#aaa0af379696867b7163bf00d13ee95a8">ne</a>-&gt;get()),atan2(cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.y,cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.x),atH);
    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">else</span>
    1209. 

  1209. <a name="l01110"></a>01110                                         {
    1210. 

  1210. <a name="l01111"></a>01111                                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atS=j;
    1211. 

  1211. <a name="l01112"></a>01112                                                 div=y+1;
    1212. 

  1212. <a name="l01113"></a>01113                                                 atS/=div;
    1213. 

  1213. <a name="l01114"></a>01114                                                 retVal.<a class="code" href="classmesh.html#abe809fe2c8a3c3a199567206b1645407">getNode</a>(i*(y+2)+j)=<a class="code" href="classcxNode.html">cxNode&lt;dataType&gt;</a>(cross.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(atS),atan2(cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.y,cross.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.x),atH);
    1214. 

  1214. <a name="l01115"></a>01115                                         }
    1215. 

  1215. <a name="l01116"></a>01116                                 }
    1216. 

  1216. <a name="l01117"></a>01117                         }
    1217. 

  1217. <a name="l01118"></a>01118                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;(x+1);i++)
    1218. 

  1218. <a name="l01119"></a>01119                         {
    1219. 

  1219. <a name="l01120"></a>01120                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;(y+1);j++)
    1220. 

  1220. <a name="l01121"></a>01121                                 {
    1221. 

  1221. <a name="l01122"></a>01122                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y+1)+j).nodeHndl[0]=<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>(i*(y+2)+j,0);
    1222. 

  1222. <a name="l01123"></a>01123                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y+1)+j).nodeHndl[1]=<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>((i+1)*(y+2)+j,0);
    1223. 

  1223. <a name="l01124"></a>01124                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y+1)+j).nodeHndl[2]=<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>((i+1)*(y+2)+j+1,0);
    1224. 

  1224. <a name="l01125"></a>01125                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y+1)+j).nodeHndl[3]=<a class="code" href="classelementNodeHandle.html">elementNodeHandle</a>(i*(y+2)+j+1,0);
    1225. 

  1225. <a name="l01126"></a>01126                                         retVal.<a class="code" href="classmesh.html#a974bac3c03cec36e2703e2116a89f2c4">getElement</a>(i*(y+1)+j).material=this-&gt;<a class="code" href="classbox.html#ad0f62fd2ce6d906916515fb0a78a1d8a">material</a>;
    1226. 

  1226. <a name="l01127"></a>01127                                 }
    1227. 

  1227. <a name="l01128"></a>01128                         }
    1228. 

  1228. <a name="l01129"></a>01129 
    1229. 

  1229. <a name="l01130"></a>01130                         <span class="keywordflow">return</span> retVal;
    1230. 

  1230. <a name="l01131"></a>01131                 }
    1231. 

  1231. <a name="l01132"></a>01132 };
    1232. 

  1232. <a name="l01133"></a>01133 
    1233. 

  1233. <a name="l01134"></a>01134 <span class="comment">// Now we have a test implementation</span>
    1234. 

  1234. <a name="l01135"></a>01135 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    1235. 

  1235. <a name="l01136"></a><a class="code" href="classcurve__circle.html">01136</a> <span class="keyword">class </span><a class="code" href="classcurve__circle.html">curve_circle</a> : <span class="keyword">public</span> <a class="code" href="classcurve.html">curve</a>&lt;dataType&gt;
    1236. 

  1236. <a name="l01137"></a>01137 {
    1237. 

  1237. <a name="l01138"></a>01138         <span class="keyword">public</span>:
    1238. 

  1238. <a name="l01139"></a>01139 
    1239. 

  1239. <a name="l01140"></a><a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">01140</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1240. 

  1240. <a name="l01141"></a><a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">01141</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>;
    1241. 

  1241. <a name="l01142"></a>01142 
    1242. 

  1242. <a name="l01143"></a><a class="code" href="classcurve__circle.html#a0679f1f9dcdd801bd7eeb7df8284e95f">01143</a>                 <a class="code" href="classcurve__circle.html#a0679f1f9dcdd801bd7eeb7df8284e95f">curve_circle</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> r_in=1.0,<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> center_in=<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(0.0,0.0)) : <a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>(r_in) , <a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>(center_in)
    1243. 

  1243. <a name="l01144"></a>01144                 {}
    1244. 

  1244. <a name="l01145"></a>01145 
    1245. 

  1245. <a name="l01146"></a><a class="code" href="classcurve__circle.html#aba5ff39010b5187e225bcf6ca2527081">01146</a>                 <span class="keyword">virtual</span> <a class="code" href="classcurve__circle.html#aba5ff39010b5187e225bcf6ca2527081">~curve_circle</a>()
    1246. 

  1246. <a name="l01147"></a>01147                 {}
    1247. 

  1247. <a name="l01148"></a>01148 
    1248. 

  1248. <a name="l01149"></a><a class="code" href="classcurve__circle.html#a65bdf5c4b2648c31b949e451796eae5a">01149</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve__circle.html#a65bdf5c4b2648c31b949e451796eae5a">getPosition</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s)<span class="keyword"> const</span>
    1249. 

  1249. <a name="l01150"></a>01150 <span class="keyword">                </span>{
    1250. 

  1250. <a name="l01151"></a>01151                         <span class="keywordflow">return</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>*cos(s*2.0*<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>),<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>*sin(s*2.0*pi));
    1251. 

  1251. <a name="l01152"></a>01152                 }
    1252. 

  1252. <a name="l01153"></a>01153 
    1253. 

  1253. <a name="l01154"></a><a class="code" href="classcurve__circle.html#aa4cd71f2aea7cb5531adefd29e2ed46e">01154</a>                 <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> <a class="code" href="classcurve__circle.html#aa4cd71f2aea7cb5531adefd29e2ed46e">getPointData</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s)<span class="keyword"> const</span>
    1254. 

  1254. <a name="l01155"></a>01155 <span class="keyword">                </span>{
    1255. 

  1255. <a name="l01156"></a>01156                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> ang=s*<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>*2.0+<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>/2.0;
    1256. 

  1256. <a name="l01157"></a>01157                         <span class="keywordflow">while</span>(ang&gt;<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>)
    1257. 

  1257. <a name="l01158"></a>01158                                 ang-=2.0*<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>;
    1258. 

  1258. <a name="l01159"></a>01159                         <span class="keywordflow">while</span>(ang&lt;-<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>)
    1259. 

  1259. <a name="l01160"></a>01160                                 ang+=2.0*<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>;
    1260. 

  1260. <a name="l01161"></a>01161                         <span class="keywordflow">return</span> <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a>(this-&gt;<a class="code" href="classcurve__circle.html#a65bdf5c4b2648c31b949e451796eae5a">getPosition</a>(s),ang,s);
    1261. 

  1261. <a name="l01162"></a>01162                 }
    1262. 

  1262. <a name="l01163"></a>01163 
    1263. 

  1263. <a name="l01164"></a><a class="code" href="classcurve__circle.html#a667305391f1e846fe8991602ee33bb67">01164</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve__circle.html#a667305391f1e846fe8991602ee33bb67">intersectFirst</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg)<span class="keyword"> const</span>
    1264. 

  1264. <a name="l01165"></a>01165 <span class="keyword">                </span>{
    1265. 

  1265. <a name="l01166"></a>01166                         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> retVal;
    1266. 

  1266. <a name="l01167"></a>01167 
    1267. 

  1267. <a name="l01168"></a>01168                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; x0=seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.x;
    1268. 

  1268. <a name="l01169"></a>01169                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; y0=seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.y;
    1269. 

  1269. <a name="l01170"></a>01170                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xD=seg.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.x;
    1270. 

  1270. <a name="l01171"></a>01171                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yD=seg.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.y;
    1271. 

  1271. <a name="l01172"></a>01172                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xC=<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>.x;
    1272. 

  1272. <a name="l01173"></a>01173                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yC=<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>.y;
    1273. 

  1273. <a name="l01174"></a>01174 
    1274. 

  1274. <a name="l01175"></a>01175                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>=pow(xD,2.0)+pow(yD,2.0);
    1275. 

  1275. <a name="l01176"></a>01176                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>=2.0*(x0*xD-xC*xD+y0*yD-yC*yD);
    1276. 

  1276. <a name="l01177"></a>01177                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>=pow(x0,2.0)+pow(y0,2.0)+pow(xC,2.0)+pow(yC,2.0)-pow(<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>,2.0)-2.0*(x0*xC+y0*yC);
    1277. 

  1277. <a name="l01178"></a>01178 
    1278. 

  1278. <a name="l01179"></a>01179                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> desc=pow(B,2.0)-4.0*A*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>;
    1279. 

  1279. <a name="l01180"></a>01180 
    1280. 

  1280. <a name="l01181"></a>01181                         <span class="keywordflow">if</span>(desc&lt;0.0)
    1281. 

  1281. <a name="l01182"></a>01182                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curve_circle::intersectFirst(): Intersect does not exist&quot;</span>);
    1282. 

  1282. <a name="l01183"></a>01183 
    1283. 

  1283. <a name="l01184"></a>01184                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> a1=(-B-sqrt(desc))/(2.0*A);
    1284. 

  1284. <a name="l01185"></a>01185                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> a2=(-B+sqrt(desc))/(2.0*A);
    1285. 

  1285. <a name="l01186"></a>01186 
    1286. 

  1286. <a name="l01187"></a>01187                         <span class="keywordflow">if</span>(a1&lt;0.0)
    1287. 

  1287. <a name="l01188"></a>01188                         {
    1288. 

  1288. <a name="l01189"></a>01189                                 <span class="keywordflow">if</span>(a2&lt;0.0)
    1289. 

  1289. <a name="l01190"></a>01190                                 {
    1290. 

  1290. <a name="l01191"></a>01191                                         <span class="keywordflow">if</span>(a1&gt;a2)
    1291. 

  1291. <a name="l01192"></a>01192                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1292. 

  1292. <a name="l01193"></a>01193                                         <span class="keywordflow">else</span>
    1293. 

  1293. <a name="l01194"></a>01194                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1294. 

  1294. <a name="l01195"></a>01195                                 }
    1295. 

  1295. <a name="l01196"></a>01196                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(a2&gt;1.0)
    1296. 

  1296. <a name="l01197"></a>01197                                 {
    1297. 

  1297. <a name="l01198"></a>01198                                         <span class="keywordflow">if</span>(-a1&lt;(a2-1.0))
    1298. 

  1298. <a name="l01199"></a>01199                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1299. 

  1299. <a name="l01200"></a>01200                                         <span class="keywordflow">else</span>
    1300. 

  1300. <a name="l01201"></a>01201                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1301. 

  1301. <a name="l01202"></a>01202                                 }
    1302. 

  1302. <a name="l01203"></a>01203                                 <span class="keywordflow">else</span>
    1303. 

  1303. <a name="l01204"></a>01204                                 {
    1304. 

  1304. <a name="l01205"></a>01205                                         retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1305. 

  1305. <a name="l01206"></a>01206                                 }
    1306. 

  1306. <a name="l01207"></a>01207                         }
    1307. 

  1307. <a name="l01208"></a>01208                         <span class="keywordflow">else</span> <span class="keywordflow">if</span>(a1&gt;1.0)
    1308. 

  1308. <a name="l01209"></a>01209                         {
    1309. 

  1309. <a name="l01210"></a>01210                                 <span class="keywordflow">if</span>(a2&lt;0.0)
    1310. 

  1310. <a name="l01211"></a>01211                                 {
    1311. 

  1311. <a name="l01212"></a>01212                                         <span class="keywordflow">if</span>(-a2&lt;(a1-1.0))
    1312. 

  1312. <a name="l01213"></a>01213                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1313. 

  1313. <a name="l01214"></a>01214                                         <span class="keywordflow">else</span>
    1314. 

  1314. <a name="l01215"></a>01215                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1315. 

  1315. <a name="l01216"></a>01216                                 }
    1316. 

  1316. <a name="l01217"></a>01217                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(a2&gt;1.0)
    1317. 

  1317. <a name="l01218"></a>01218                                 {
    1318. 

  1318. <a name="l01219"></a>01219                                         <span class="keywordflow">if</span>(a2&lt;a1)
    1319. 

  1319. <a name="l01220"></a>01220                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1320. 

  1320. <a name="l01221"></a>01221                                         <span class="keywordflow">else</span>
    1321. 

  1321. <a name="l01222"></a>01222                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1322. 

  1322. <a name="l01223"></a>01223                                 }
    1323. 

  1323. <a name="l01224"></a>01224                                 <span class="keywordflow">else</span>
    1324. 

  1324. <a name="l01225"></a>01225                                 {
    1325. 

  1325. <a name="l01226"></a>01226                                         retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1326. 

  1326. <a name="l01227"></a>01227                                 }
    1327. 

  1327. <a name="l01228"></a>01228                         }
    1328. 

  1328. <a name="l01229"></a>01229                         <span class="keywordflow">else</span>
    1329. 

  1329. <a name="l01230"></a>01230                         {
    1330. 

  1330. <a name="l01231"></a>01231                                 <span class="keywordflow">if</span>(a2&lt;0.0)
    1331. 

  1331. <a name="l01232"></a>01232                                 {
    1332. 

  1332. <a name="l01233"></a>01233                                         retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1333. 

  1333. <a name="l01234"></a>01234                                 }
    1334. 

  1334. <a name="l01235"></a>01235                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(a2&gt;1.0)
    1335. 

  1335. <a name="l01236"></a>01236                                 {
    1336. 

  1336. <a name="l01237"></a>01237                                         retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1337. 

  1337. <a name="l01238"></a>01238                                 }
    1338. 

  1338. <a name="l01239"></a>01239                                 <span class="keywordflow">else</span>
    1339. 

  1339. <a name="l01240"></a>01240                                 {
    1340. 

  1340. <a name="l01241"></a>01241                                         <span class="keywordflow">if</span>(a2&lt;a1)
    1341. 

  1341. <a name="l01242"></a>01242                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1342. 

  1342. <a name="l01243"></a>01243                                         <span class="keywordflow">else</span>
    1343. 

  1343. <a name="l01244"></a>01244                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1344. 

  1344. <a name="l01245"></a>01245                                 }
    1345. 

  1345. <a name="l01246"></a>01246                         }
    1346. 

  1346. <a name="l01247"></a>01247 
    1347. 

  1347. <a name="l01248"></a>01248                         <span class="keywordflow">return</span> retVal;
    1348. 

  1348. <a name="l01249"></a>01249                 }
    1349. 

  1349. <a name="l01250"></a>01250 
    1350. 

  1350. <a name="l01251"></a><a class="code" href="classcurve__circle.html#a754512bd29216f1ee733d305167bbb8c">01251</a>                 <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> <a class="code" href="classcurve__circle.html#a754512bd29216f1ee733d305167bbb8c">intersectFirstData</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg)<span class="keyword"> const</span>
    1351. 

  1351. <a name="l01252"></a>01252 <span class="keyword">                </span>{
    1352. 

  1352. <a name="l01253"></a>01253                         <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> retVal;
    1353. 

  1353. <a name="l01254"></a>01254 
    1354. 

  1354. <a name="l01255"></a>01255                         retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>=<a class="code" href="classcurve__circle.html#a667305391f1e846fe8991602ee33bb67">intersectFirst</a>(seg);
    1355. 

  1355. <a name="l01256"></a>01256 
    1356. 

  1356. <a name="l01257"></a>01257                         <span class="comment">// now we solve the angle</span>
    1357. 

  1357. <a name="l01258"></a>01258                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> x=(retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>-this-&gt;<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>).x/<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1358. 

  1358. <a name="l01259"></a>01259                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> y=(retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>-this-&gt;<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>).y/<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1359. 

  1359. <a name="l01260"></a>01260                         retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>=atan2(y,x)+<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>/2.0;
    1360. 

  1360. <a name="l01261"></a>01261                         <span class="keywordflow">while</span>(retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>&gt;<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>)
    1361. 

  1361. <a name="l01262"></a>01262                                 retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>-=2.0*<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>;
    1362. 

  1362. <a name="l01263"></a>01263                         retVal.<a class="code" href="classcurvePointData.html#a8a6d5fff4e06528adf91c68e285a1edb">sEstimate</a>=retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>-<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>;
    1363. 

  1363. <a name="l01264"></a>01264 
    1364. 

  1364. <a name="l01265"></a>01265                         <span class="keywordflow">return</span> retVal;
    1365. 

  1365. <a name="l01266"></a>01266                 }
    1366. 

  1366. <a name="l01267"></a>01267 
    1367. 

  1367. <a name="l01268"></a><a class="code" href="classcurve__circle.html#ab2b548b174df15d4cb5b89adaf4a7910">01268</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve__circle.html#ab2b548b174df15d4cb5b89adaf4a7910">intersectAverage</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg)<span class="keyword"> const</span>
    1368. 

  1368. <a name="l01269"></a>01269 <span class="keyword">                </span>{
    1369. 

  1369. <a name="l01270"></a>01270                         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> retVal;
    1370. 

  1370. <a name="l01271"></a>01271 
    1371. 

  1371. <a name="l01272"></a>01272                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; x0=seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.x;
    1372. 

  1372. <a name="l01273"></a>01273                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; y0=seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.y;
    1373. 

  1373. <a name="l01274"></a>01274                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xD=seg.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.x;
    1374. 

  1374. <a name="l01275"></a>01275                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yD=seg.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.y;
    1375. 

  1375. <a name="l01276"></a>01276                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xC=<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>.x;
    1376. 

  1376. <a name="l01277"></a>01277                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yC=<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>.y;
    1377. 

  1377. <a name="l01278"></a>01278 
    1378. 

  1378. <a name="l01279"></a>01279                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>=pow(xD,2.0)+pow(yD,2.0);
    1379. 

  1379. <a name="l01280"></a>01280                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>=2.0*(x0*xD-xC*xD+y0*yD-yC*yD);
    1380. 

  1380. <a name="l01281"></a>01281                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>=pow(x0,2.0)+pow(y0,2.0)+pow(xC,2.0)+pow(yC,2.0)-pow(<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>,2.0)-2.0*(x0*xC+y0*yC);
    1381. 

  1381. <a name="l01282"></a>01282 
    1382. 

  1382. <a name="l01283"></a>01283                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> desc=pow(B,2.0)-4.0*A*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>;
    1383. 

  1383. <a name="l01284"></a>01284 
    1384. 

  1384. <a name="l01285"></a>01285                         <span class="keywordflow">if</span>(desc&lt;0.0)
    1385. 

  1385. <a name="l01286"></a>01286                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curve_circle::intersectAverage(): Intersect does not exist&quot;</span>);
    1386. 

  1386. <a name="l01287"></a>01287 
    1387. 

  1387. <a name="l01288"></a>01288                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> a1=(-B-sqrt(desc))/(2.0*A);
    1388. 

  1388. <a name="l01289"></a>01289                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> a2=(-B+sqrt(desc))/(2.0*A);
    1389. 

  1389. <a name="l01290"></a>01290 
    1390. 

  1390. <a name="l01291"></a>01291                         <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curve_circle::intersectAverage(): This has not been implemeted to give averages&quot;</span>);
    1391. 

  1391. <a name="l01292"></a>01292 
    1392. 

  1392. <a name="l01293"></a>01293                         <span class="keywordflow">if</span>(a1&lt;0.0)
    1393. 

  1393. <a name="l01294"></a>01294                         {
    1394. 

  1394. <a name="l01295"></a>01295                                 <span class="keywordflow">if</span>(a2&lt;0.0)
    1395. 

  1395. <a name="l01296"></a>01296                                 {
    1396. 

  1396. <a name="l01297"></a>01297                                         <span class="keywordflow">if</span>(a1&gt;a2)
    1397. 

  1397. <a name="l01298"></a>01298                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1398. 

  1398. <a name="l01299"></a>01299                                         <span class="keywordflow">else</span>
    1399. 

  1399. <a name="l01300"></a>01300                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1400. 

  1400. <a name="l01301"></a>01301                                 }
    1401. 

  1401. <a name="l01302"></a>01302                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(a2&gt;1.0)
    1402. 

  1402. <a name="l01303"></a>01303                                 {
    1403. 

  1403. <a name="l01304"></a>01304                                         <span class="keywordflow">if</span>(-a1&lt;(a2-1.0))
    1404. 

  1404. <a name="l01305"></a>01305                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1405. 

  1405. <a name="l01306"></a>01306                                         <span class="keywordflow">else</span>
    1406. 

  1406. <a name="l01307"></a>01307                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1407. 

  1407. <a name="l01308"></a>01308                                 }
    1408. 

  1408. <a name="l01309"></a>01309                                 <span class="keywordflow">else</span>
    1409. 

  1409. <a name="l01310"></a>01310                                 {
    1410. 

  1410. <a name="l01311"></a>01311                                         retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1411. 

  1411. <a name="l01312"></a>01312                                 }
    1412. 

  1412. <a name="l01313"></a>01313                         }
    1413. 

  1413. <a name="l01314"></a>01314                         <span class="keywordflow">else</span> <span class="keywordflow">if</span>(a1&gt;1.0)
    1414. 

  1414. <a name="l01315"></a>01315                         {
    1415. 

  1415. <a name="l01316"></a>01316                                 <span class="keywordflow">if</span>(a2&lt;0.0)
    1416. 

  1416. <a name="l01317"></a>01317                                 {
    1417. 

  1417. <a name="l01318"></a>01318                                         <span class="keywordflow">if</span>(-a2&lt;(a1-1.0))
    1418. 

  1418. <a name="l01319"></a>01319                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1419. 

  1419. <a name="l01320"></a>01320                                         <span class="keywordflow">else</span>
    1420. 

  1420. <a name="l01321"></a>01321                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1421. 

  1421. <a name="l01322"></a>01322                                 }
    1422. 

  1422. <a name="l01323"></a>01323                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(a2&gt;1.0)
    1423. 

  1423. <a name="l01324"></a>01324                                 {
    1424. 

  1424. <a name="l01325"></a>01325                                         <span class="keywordflow">if</span>(a2&lt;a1)
    1425. 

  1425. <a name="l01326"></a>01326                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1426. 

  1426. <a name="l01327"></a>01327                                         <span class="keywordflow">else</span>
    1427. 

  1427. <a name="l01328"></a>01328                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1428. 

  1428. <a name="l01329"></a>01329                                 }
    1429. 

  1429. <a name="l01330"></a>01330                                 <span class="keywordflow">else</span>
    1430. 

  1430. <a name="l01331"></a>01331                                 {
    1431. 

  1431. <a name="l01332"></a>01332                                         retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1432. 

  1432. <a name="l01333"></a>01333                                 }
    1433. 

  1433. <a name="l01334"></a>01334                         }
    1434. 

  1434. <a name="l01335"></a>01335                         <span class="keywordflow">else</span>
    1435. 

  1435. <a name="l01336"></a>01336                         {
    1436. 

  1436. <a name="l01337"></a>01337                                 <span class="keywordflow">if</span>(a2&lt;0.0)
    1437. 

  1437. <a name="l01338"></a>01338                                 {
    1438. 

  1438. <a name="l01339"></a>01339                                         retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1439. 

  1439. <a name="l01340"></a>01340                                 }
    1440. 

  1440. <a name="l01341"></a>01341                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(a2&gt;1.0)
    1441. 

  1441. <a name="l01342"></a>01342                                 {
    1442. 

  1442. <a name="l01343"></a>01343                                         retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1443. 

  1443. <a name="l01344"></a>01344                                 }
    1444. 

  1444. <a name="l01345"></a>01345                                 <span class="keywordflow">else</span>
    1445. 

  1445. <a name="l01346"></a>01346                                 {
    1446. 

  1446. <a name="l01347"></a>01347                                         <span class="keywordflow">if</span>(a2&lt;a1)
    1447. 

  1447. <a name="l01348"></a>01348                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a2);
    1448. 

  1448. <a name="l01349"></a>01349                                         <span class="keywordflow">else</span>
    1449. 

  1449. <a name="l01350"></a>01350                                                 retVal=seg.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(a1);
    1450. 

  1450. <a name="l01351"></a>01351                                 }
    1451. 

  1451. <a name="l01352"></a>01352                         }
    1452. 

  1452. <a name="l01353"></a>01353 
    1453. 

  1453. <a name="l01354"></a>01354                         <span class="keywordflow">return</span> retVal;
    1454. 

  1454. <a name="l01355"></a>01355                 }
    1455. 

  1455. <a name="l01356"></a>01356 
    1456. 

  1456. <a name="l01357"></a><a class="code" href="classcurve__circle.html#a2616ca8cb8d687ffae4dd29a9818e7bb">01357</a>                 <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> <a class="code" href="classcurve__circle.html#a2616ca8cb8d687ffae4dd29a9818e7bb">intersectAverageData</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg)<span class="keyword"> const</span>
    1457. 

  1457. <a name="l01358"></a>01358 <span class="keyword">                </span>{
    1458. 

  1458. <a name="l01359"></a>01359                         <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> retVal;
    1459. 

  1459. <a name="l01360"></a>01360 
    1460. 

  1460. <a name="l01361"></a>01361                         retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>=<a class="code" href="classcurve__circle.html#ab2b548b174df15d4cb5b89adaf4a7910">intersectAverage</a>(seg);
    1461. 

  1461. <a name="l01362"></a>01362 
    1462. 

  1462. <a name="l01363"></a>01363                         <span class="comment">// now we solve the angle</span>
    1463. 

  1463. <a name="l01364"></a>01364                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> x=(retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>-this-&gt;<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>).x/<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1464. 

  1464. <a name="l01365"></a>01365                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> y=(retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>-this-&gt;<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>).y/<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1465. 

  1465. <a name="l01366"></a>01366                         retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>=atan2(y,x)+<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>/2.0;
    1466. 

  1466. <a name="l01367"></a>01367                         <span class="keywordflow">while</span>(retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>&gt;<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>)
    1467. 

  1467. <a name="l01368"></a>01368                                 retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>-=2.0*<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>;
    1468. 

  1468. <a name="l01369"></a>01369                         retVal.<a class="code" href="classcurvePointData.html#a8a6d5fff4e06528adf91c68e285a1edb">sEstimate</a>=retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>-<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>;
    1469. 

  1469. <a name="l01370"></a>01370 
    1470. 

  1470. <a name="l01371"></a>01371                         <span class="keywordflow">return</span> retVal;
    1471. 

  1471. <a name="l01372"></a>01372                 }
    1472. 

  1472. <a name="l01373"></a>01373 
    1473. 

  1473. <a name="l01374"></a><a class="code" href="classcurve__circle.html#a50714898dbd9201a9ff3cc1523b64c08">01374</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcurve__circle.html#a50714898dbd9201a9ff3cc1523b64c08">jacobian</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s)<span class="keyword"> const</span>
    1474. 

  1474. <a name="l01375"></a>01375 <span class="keyword">                </span>{
    1475. 

  1475. <a name="l01376"></a>01376                         <span class="keywordflow">return</span> 2.0*<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>*<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1476. 

  1476. <a name="l01377"></a>01377                 }
    1477. 

  1477. <a name="l01378"></a>01378 
    1478. 

  1478. <a name="l01379"></a><a class="code" href="classcurve__circle.html#ad8619e0d5cd9b8de32928354ba71630c">01379</a>                 <span class="keywordtype">void</span> <a class="code" href="classcurve__circle.html#ad8619e0d5cd9b8de32928354ba71630c">boundingBox</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xMin,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yMin,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xMax,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yMax)<span class="keyword"> const</span>
    1479. 

  1479. <a name="l01380"></a>01380 <span class="keyword">                </span>{
    1480. 

  1480. <a name="l01381"></a>01381                         xMin=this-&gt;<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>.x-<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1481. 

  1481. <a name="l01382"></a>01382                         yMin=this-&gt;<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>.y-<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1482. 

  1482. <a name="l01383"></a>01383                         xMax=this-&gt;<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>.x+<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1483. 

  1483. <a name="l01384"></a>01384                         yMax=this-&gt;<a class="code" href="classcurve__circle.html#a49b5c44277849311698bffe0da35e0bc">center</a>.y+<a class="code" href="classcurve__circle.html#a72b0a42e53af4cb3e35c2554794f313d">r</a>;
    1484. 

  1484. <a name="l01385"></a>01385                 }
    1485. 

  1485. <a name="l01386"></a>01386 };
    1486. 

  1486. <a name="l01387"></a>01387 
    1487. 

  1487. <a name="l01388"></a>01388 <span class="comment">// template&lt;class dataType&gt;</span>
    1488. 

  1488. <a name="l01389"></a>01389 <span class="comment">// void printMatrix(const matrix&lt;dataType&gt;&amp; mtx)</span>
    1489. 

  1489. <a name="l01390"></a>01390 <span class="comment">// {</span>
    1490. 

  1490. <a name="l01391"></a>01391 <span class="comment">//      unsigned long rCnt;</span>
    1491. 

  1491. <a name="l01392"></a>01392 <span class="comment">//      unsigned long cCnt;</span>
    1492. 

  1492. <a name="l01393"></a>01393 <span class="comment">// </span>
    1493. 

  1493. <a name="l01394"></a>01394 <span class="comment">//      mtx.size(rCnt,cCnt);</span>
    1494. 

  1494. <a name="l01395"></a>01395 <span class="comment">//      for(unsigned long i=0;i&lt;rCnt;i++)</span>
    1495. 

  1495. <a name="l01396"></a>01396 <span class="comment">//      {</span>
    1496. 

  1496. <a name="l01397"></a>01397 <span class="comment">//              for(unsigned long j=0;j&lt;cCnt;j++)</span>
    1497. 

  1497. <a name="l01398"></a>01398 <span class="comment">//              {</span>
    1498. 

  1498. <a name="l01399"></a>01399 <span class="comment">// //                   if(j!=0)</span>
    1499. 

  1499. <a name="l01400"></a>01400 <span class="comment">// //                           std::cout &lt;&lt; &#39;\t&#39;;</span>
    1500. 

  1500. <a name="l01401"></a>01401 <span class="comment">//                      std::cout.width(14);</span>
    1501. 

  1501. <a name="l01402"></a>01402 <span class="comment">//                      std::cout &lt;&lt; mtx.entry(i,j);</span>
    1502. 

  1502. <a name="l01403"></a>01403 <span class="comment">//              }</span>
    1503. 

  1503. <a name="l01404"></a>01404 <span class="comment">//              std::cout &lt;&lt; std::endl;</span>
    1504. 

  1504. <a name="l01405"></a>01405 <span class="comment">//      }</span>
    1505. 

  1505. <a name="l01406"></a>01406 <span class="comment">// }</span>
    1506. 

  1506. <a name="l01407"></a>01407 
    1507. 

  1507. <a name="l01408"></a>01408 
    1508. 

  1508. <a name="l01409"></a>01409 
    1509. 

  1509. <a name="l01410"></a>01410 
    1510. 

  1510. <a name="l01411"></a>01411 
    1511. 

  1511. <a name="l01412"></a>01412 
    1512. 

  1512. <a name="l01413"></a>01413 <span class="comment">// this is a simple class that merely stores the points of a polygon</span>
    1513. 

  1513. <a name="l01414"></a>01414 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    1514. 

  1514. <a name="l01415"></a><a class="code" href="classpolygon.html">01415</a> <span class="keyword">class </span><a class="code" href="classpolygon.html">polygon</a>
    1515. 

  1515. <a name="l01416"></a>01416 {
    1516. 

  1516. <a name="l01417"></a>01417         <span class="keyword">private</span>:
    1517. 

  1517. <a name="l01418"></a>01418 
    1518. 

  1518. <a name="l01419"></a>01419                 std::vector&lt;planePoint&lt;dataType&gt; &gt; pnts;
    1519. 

  1519. <a name="l01420"></a>01420 
    1520. 

  1520. <a name="l01421"></a>01421         <span class="keyword">public</span>:
    1521. 

  1521. <a name="l01422"></a>01422 
    1522. 

  1522. <a name="l01423"></a><a class="code" href="classpolygon.html#a56b9ca479ca53443b109c540a3ec98b4">01423</a>                 <a class="code" href="classpolygon.html#a56b9ca479ca53443b109c540a3ec98b4">polygon</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz_in=0) : pnts(sz_in)
    1523. 

  1523. <a name="l01424"></a>01424                 {}
    1524. 

  1524. <a name="l01425"></a>01425 
    1525. 

  1525. <a name="l01426"></a><a class="code" href="classpolygon.html#aefd94b1ac2266272b090260ead926d5e">01426</a>                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classpolygon.html#aefd94b1ac2266272b090260ead926d5e">size</a>()<span class="keyword"> const</span>
    1526. 

  1526. <a name="l01427"></a>01427 <span class="keyword">                </span>{
    1527. 

  1527. <a name="l01428"></a>01428                         <span class="keywordflow">return</span> pnts.size();
    1528. 

  1528. <a name="l01429"></a>01429                 }
    1529. 

  1529. <a name="l01430"></a>01430 
    1530. 

  1530. <a name="l01431"></a><a class="code" href="classpolygon.html#abed08f93b09b4c40df2cb78a324db19e">01431</a>                 <span class="keywordtype">void</span> <a class="code" href="classpolygon.html#abed08f93b09b4c40df2cb78a324db19e">resize</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz)
    1531. 

  1531. <a name="l01432"></a>01432                 {
    1532. 

  1532. <a name="l01433"></a>01433                         pnts.resize(sz);
    1533. 

  1533. <a name="l01434"></a>01434                 }
    1534. 

  1534. <a name="l01435"></a>01435 
    1535. 

  1535. <a name="l01436"></a><a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">01436</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>&amp; <a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at)
    1536. 

  1536. <a name="l01437"></a>01437                 {
    1537. 

  1537. <a name="l01438"></a>01438                         <span class="keywordflow">if</span>(at&gt;=pnts.size())
    1538. 

  1538. <a name="l01439"></a>01439                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;polygon::getPoint(): The point does not exist&quot;</span>);
    1539. 

  1539. <a name="l01440"></a>01440                         <span class="keywordflow">return</span> pnts[at];
    1540. 

  1540. <a name="l01441"></a>01441                 }
    1541. 

  1541. <a name="l01442"></a>01442 
    1542. 

  1542. <a name="l01443"></a><a class="code" href="classpolygon.html#a49837d617e369c9bb013109a57119048">01443</a>                 <span class="keyword">const</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>&amp; <a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at)<span class="keyword"> const</span>
    1543. 

  1543. <a name="l01444"></a>01444 <span class="keyword">                </span>{
    1544. 

  1544. <a name="l01445"></a>01445                         <span class="keywordflow">if</span>(at&gt;=pnts.size())
    1545. 

  1545. <a name="l01446"></a>01446                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;polygon::getPoint(): The point does not exist&quot;</span>);
    1546. 

  1546. <a name="l01447"></a>01447                         <span class="keywordflow">return</span> pnts[at];
    1547. 

  1547. <a name="l01448"></a>01448                 }
    1548. 

  1548. <a name="l01449"></a>01449 
    1549. 

  1549. <a name="l01450"></a><a class="code" href="classpolygon.html#a9b01d5ead424910701cee8e4fd51039e">01450</a>                 <span class="keywordtype">void</span> <a class="code" href="classpolygon.html#a9b01d5ead424910701cee8e4fd51039e">print</a>(std::ostream&amp; out)
    1550. 

  1550. <a name="l01451"></a>01451                 {
    1551. 

  1551. <a name="l01452"></a>01452                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;pnts.size();i++)
    1552. 

  1552. <a name="l01453"></a>01453                                 out &lt;&lt; pnts[i].x &lt;&lt; <span class="charliteral">&#39;\t&#39;</span> &lt;&lt; pnts[i].y &lt;&lt; std::endl;
    1553. 

  1553. <a name="l01454"></a>01454                 }
    1554. 

  1554. <a name="l01455"></a>01455 };
    1555. 

  1555. <a name="l01456"></a>01456 
    1556. 

  1556. <a name="l01457"></a>01457 <span class="comment">// this is the data structure for just one line segment for an approximated polygon</span>
    1557. 

  1557. <a name="l01458"></a>01458 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    1558. 

  1558. <a name="l01459"></a><a class="code" href="classapproxSegment.html">01459</a> <span class="keyword">class </span><a class="code" href="classapproxSegment.html">approxSegment</a>
    1559. 

  1559. <a name="l01460"></a>01460 {
    1560. 

  1560. <a name="l01461"></a>01461         <span class="keyword">private</span>:
    1561. 

  1561. <a name="l01462"></a>01462 
    1562. 

  1562. <a name="l01463"></a>01463                 <span class="keywordtype">bool</span> dataSet;
    1563. 

  1563. <a name="l01464"></a>01464                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> angleData;
    1564. 

  1564. <a name="l01465"></a>01465                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> L0;
    1565. 

  1565. <a name="l01466"></a>01466                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> M0;
    1566. 

  1566. <a name="l01467"></a>01467                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> start0;
    1567. 

  1567. <a name="l01468"></a>01468                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> end0;
    1568. 

  1568. <a name="l01469"></a>01469                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> defaultSlope;
    1569. 

  1569. <a name="l01470"></a>01470                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> kParam;
    1570. 

  1570. <a name="l01471"></a>01471                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> rhoParam;
    1571. 

  1571. <a name="l01472"></a>01472 
    1572. 

  1572. <a name="l01473"></a>01473 <span class="comment">//              class event</span>
    1573. 

  1573. <a name="l01474"></a>01474 <span class="comment">//              {</span>
    1574. 

  1574. <a name="l01475"></a>01475 <span class="comment">//                      public:</span>
    1575. 

  1575. <a name="l01476"></a>01476 <span class="comment">// </span>
    1576. 

  1576. <a name="l01477"></a>01477 <span class="comment">//                              dataType h; // this is the offset this event occurs at</span>
    1577. 

  1577. <a name="l01478"></a>01478 <span class="comment">//                              dataType step; // this is the step change in length</span>
    1578. 

  1578. <a name="l01479"></a>01479 <span class="comment">//                              dataType dStep; // this is the step change in slope</span>
    1579. 

  1579. <a name="l01480"></a>01480 <span class="comment">//              };</span>
    1580. 

  1580. <a name="l01481"></a>01481 
    1581. 

  1581. <a name="l01482"></a>01482                 <span class="keyword">class </span>event
    1582. 

  1582. <a name="l01483"></a>01483                 {
    1583. 

  1583. <a name="l01484"></a>01484                         <span class="keyword">public</span>:
    1584. 

  1584. <a name="l01485"></a>01485 
    1585. 

  1585. <a name="l01486"></a>01486                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h;
    1586. 

  1586. <a name="l01487"></a>01487                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> l;
    1587. 

  1587. <a name="l01488"></a>01488 
    1588. 

  1588. <a name="l01489"></a>01489                                 event(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h_in=0.0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> l_in=0.0) : h(h_in) , l(l_in)
    1589. 

  1589. <a name="l01490"></a>01490                                 {}
    1590. 

  1590. <a name="l01491"></a>01491                 };
    1591. 

  1591. <a name="l01492"></a>01492 
    1592. 

  1592. <a name="l01493"></a>01493                 <span class="keyword">class </span>step
    1593. 

  1593. <a name="l01494"></a>01494                 {
    1594. 

  1594. <a name="l01495"></a>01495                         <span class="keyword">public</span>:
    1595. 

  1595. <a name="l01496"></a>01496 
    1596. 

  1596. <a name="l01497"></a>01497                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h;
    1597. 

  1597. <a name="l01498"></a>01498                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classapproxSegment.html#a3397e4b1b24691b8bb54d26b0cce1b0d">deltaY</a>;
    1598. 

  1598. <a name="l01499"></a>01499                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> deltaM;
    1599. 

  1599. <a name="l01500"></a>01500 
    1600. 

  1600. <a name="l01501"></a>01501                                 step(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h_in=0.0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> deltaY_in=0.0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> deltaM_in=0.0) : h(h_in) , <a class="code" href="classapproxSegment.html#a3397e4b1b24691b8bb54d26b0cce1b0d">deltaY</a>(deltaY_in) , deltaM(deltaM_in)
    1601. 

  1601. <a name="l01502"></a>01502                                 {}
    1602. 

  1602. <a name="l01503"></a>01503                 };
    1603. 

  1603. <a name="l01504"></a>01504 
    1604. 

  1604. <a name="l01505"></a>01505                 std::list&lt;event&gt; events;
    1605. 

  1605. <a name="l01506"></a>01506                 std::list&lt;step&gt; steps;
    1606. 

  1606. <a name="l01507"></a>01507 
    1607. 

  1607. <a name="l01508"></a>01508         <span class="keyword">public</span>:
    1608. 

  1608. <a name="l01509"></a>01509 
    1609. 

  1609. <a name="l01510"></a><a class="code" href="classapproxSegment.html#a0e99c7e4106c1205026750b74457da4b">01510</a>                 <a class="code" href="classapproxSegment.html#a0e99c7e4106c1205026750b74457da4b">approxSegment</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> defaultSlope_in=-1.0,<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> start0_in=<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(0.0,0.0),<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> end0_in=<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(0.0,0.0),<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> kParam_in=2000.0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> rhoParam_in=200.0)
    1610. 

  1610. <a name="l01511"></a>01511                         : dataSet(false) 
    1611. 

  1611. <a name="l01512"></a>01512                         , angleData(0.0) 
    1612. 

  1612. <a name="l01513"></a>01513                         , L0(0.0) 
    1613. 

  1613. <a name="l01514"></a>01514                         , M0(0.0) 
    1614. 

  1614. <a name="l01515"></a>01515                         , start0(start0_in) 
    1615. 

  1615. <a name="l01516"></a>01516                         , end0(end0_in) 
    1616. 

  1616. <a name="l01517"></a>01517                         , defaultSlope(defaultSlope_in) 
    1617. 

  1617. <a name="l01518"></a>01518                         , kParam(kParam_in) 
    1618. 

  1618. <a name="l01519"></a>01519                         , rhoParam(rhoParam_in)
    1619. 

  1619. <a name="l01520"></a>01520                 {}
    1620. 

  1620. <a name="l01521"></a>01521 
    1621. 

  1621. <a name="l01522"></a><a class="code" href="classapproxSegment.html#aeb1768770ea9b17683a935575c9e6bd0">01522</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>&amp; <a class="code" href="classapproxSegment.html#aeb1768770ea9b17683a935575c9e6bd0">start</a>()
    1622. 

  1622. <a name="l01523"></a>01523                 {
    1623. 

  1623. <a name="l01524"></a>01524                         <span class="keywordflow">return</span> start0;
    1624. 

  1624. <a name="l01525"></a>01525                 }
    1625. 

  1625. <a name="l01526"></a>01526 
    1626. 

  1626. <a name="l01527"></a><a class="code" href="classapproxSegment.html#a5018fa722a48eaa81af30364e6c452f1">01527</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>&amp; <a class="code" href="classapproxSegment.html#a5018fa722a48eaa81af30364e6c452f1">end</a>()
    1627. 

  1627. <a name="l01528"></a>01528                 {
    1628. 

  1628. <a name="l01529"></a>01529                         <span class="keywordflow">return</span> end0;
    1629. 

  1629. <a name="l01530"></a>01530                 }
    1630. 

  1630. <a name="l01531"></a>01531 
    1631. 

  1631. <a name="l01532"></a><a class="code" href="classapproxSegment.html#a928daee29b0f6685accc41f341392cfa">01532</a>                 <span class="keywordtype">void</span> <a class="code" href="classapproxSegment.html#a928daee29b0f6685accc41f341392cfa">addEvent</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classapproxSegment.html#aba4715c01c2aa16b7d9d7ea59d5f5b2a">length</a>)
    1632. 

  1632. <a name="l01533"></a>01533                 {
    1633. 

  1633. <a name="l01534"></a>01534                         events.push_back(event(h,length));
    1634. 

  1634. <a name="l01535"></a>01535                 }
    1635. 

  1635. <a name="l01536"></a>01536 
    1636. 

  1636. <a name="l01537"></a><a class="code" href="classapproxSegment.html#ae2fc4a56b2f1e28333804d89b7842c8f">01537</a>                 <span class="keywordtype">void</span> <a class="code" href="classapproxSegment.html#ae2fc4a56b2f1e28333804d89b7842c8f">finalize</a>()
    1637. 

  1637. <a name="l01538"></a>01538                 {
    1638. 

  1638. <a name="l01539"></a>01539                         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> delta=end0-start0;
    1639. 

  1639. <a name="l01540"></a>01540                         angleData=atan2(delta.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>,delta.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>);
    1640. 

  1640. <a name="l01541"></a>01541                         L0=delta.<a class="code" href="classplanePoint.html#a71e47c23ee1607864e54c100533e4333">length</a>();
    1641. 

  1641. <a name="l01542"></a>01542 
    1642. 

  1642. <a name="l01543"></a>01543                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> lastH=0.0;
    1643. 

  1643. <a name="l01544"></a>01544                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> lastL=L0;
    1644. 

  1644. <a name="l01545"></a>01545                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> lastDelta=0.0;
    1645. 

  1645. <a name="l01546"></a>01546                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> lastSlope=0.0;
    1646. 

  1646. <a name="l01547"></a>01547                         <span class="keywordflow">for</span>(<span class="keyword">typename</span> std::list&lt;event&gt;::iterator it=events.begin();it!=events.end();it++)
    1647. 

  1647. <a name="l01548"></a>01548                         {
    1648. 

  1648. <a name="l01549"></a>01549                                 <span class="keywordflow">if</span>(it-&gt;h!=lastH)
    1649. 

  1649. <a name="l01550"></a>01550                                 {
    1650. 

  1650. <a name="l01551"></a>01551                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> slope=(it-&gt;l-lastL)/(it-&gt;h-lastH);
    1651. 

  1651. <a name="l01552"></a>01552                                         <span class="keywordflow">if</span>(lastH==0.0)
    1652. 

  1652. <a name="l01553"></a>01553                                         {
    1653. 

  1653. <a name="l01554"></a>01554                                                 M0=slope;
    1654. 

  1654. <a name="l01555"></a>01555                                                 <span class="keywordflow">if</span>(lastDelta!=0.0)
    1655. 

  1655. <a name="l01556"></a>01556                                                         steps.push_back(step(0.0,lastDelta,0.0));
    1656. 

  1656. <a name="l01557"></a>01557                                         }
    1657. 

  1657. <a name="l01558"></a>01558                                         <span class="keywordflow">else</span>
    1658. 

  1658. <a name="l01559"></a>01559                                         {
    1659. 

  1659. <a name="l01560"></a>01560                                                 <span class="keywordflow">if</span>(lastDelta!=0.0 || slope!=lastSlope)
    1660. 

  1660. <a name="l01561"></a>01561                                                         steps.push_back(step(lastH,lastDelta,slope-lastSlope));
    1661. 

  1661. <a name="l01562"></a>01562                                         }
    1662. 

  1662. <a name="l01563"></a>01563                                         lastL=it-&gt;l;
    1663. 

  1663. <a name="l01564"></a>01564                                         lastSlope=slope;
    1664. 

  1664. <a name="l01565"></a>01565                                         lastH=it-&gt;h;
    1665. 

  1665. <a name="l01566"></a>01566                                 }
    1666. 

  1666. <a name="l01567"></a>01567                                 <span class="keywordflow">else</span>
    1667. 

  1667. <a name="l01568"></a>01568                                 {
    1668. 

  1668. <a name="l01569"></a>01569                                         lastDelta=it-&gt;l-lastL;
    1669. 

  1669. <a name="l01570"></a>01570                                 }
    1670. 

  1670. <a name="l01571"></a>01571                         }
    1671. 

  1671. <a name="l01572"></a>01572                         <span class="comment">// scenario where there is a zero at the first point</span>
    1672. 

  1672. <a name="l01573"></a>01573                         <span class="keywordflow">if</span>(lastH==0.0)
    1673. 

  1673. <a name="l01574"></a>01574                         {
    1674. 

  1674. <a name="l01575"></a>01575                                 M0=defaultSlope;
    1675. 

  1675. <a name="l01576"></a>01576                                 lastSlope=defaultSlope;
    1676. 

  1676. <a name="l01577"></a>01577                         }
    1677. 

  1677. <a name="l01578"></a>01578                         <span class="keywordflow">if</span>(lastL!=0.0 || lastSlope&gt;=0.0)
    1678. 

  1678. <a name="l01579"></a>01579                         {
    1679. 

  1679. <a name="l01580"></a>01580                                 <span class="keywordflow">if</span>(lastSlope&lt;0.0)
    1680. 

  1680. <a name="l01581"></a>01581                                         steps.push_back(step(lastH,0.0-lastL,0.0));
    1681. 

  1681. <a name="l01582"></a>01582                                 <span class="keywordflow">else</span>
    1682. 

  1682. <a name="l01583"></a>01583                                         steps.push_back(step(lastH,0.0-lastL,defaultSlope-lastSlope));
    1683. 

  1683. <a name="l01584"></a>01584                         }
    1684. 

  1684. <a name="l01585"></a>01585                         <span class="keywordflow">if</span>(lastL!=0.0 || lastSlope!=defaultSlope)
    1685. 

  1685. <a name="l01586"></a>01586                                 steps.push_back(step(lastH,0.0-lastL,defaultSlope-lastSlope));
    1686. 

  1686. <a name="l01587"></a>01587                         dataSet=<span class="keyword">true</span>;
    1687. 

  1687. <a name="l01588"></a>01588                 }
    1688. 

  1688. <a name="l01589"></a>01589 
    1689. 

  1689. <a name="l01590"></a><a class="code" href="classapproxSegment.html#a524e8b1bc2768b162ad4de0b1cfb6a2b">01590</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classapproxSegment.html#aba4715c01c2aa16b7d9d7ea59d5f5b2a">length</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> x)
    1690. 

  1690. <a name="l01591"></a>01591                 {
    1691. 

  1691. <a name="l01592"></a>01592                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> L=L0+M0*x;
    1692. 

  1692. <a name="l01593"></a>01593                         <span class="keywordflow">for</span>(<span class="keyword">typename</span> std::list&lt;step&gt;::iterator it=steps.begin();it!=steps.end();it++)
    1693. 

  1693. <a name="l01594"></a>01594                         {
    1694. 

  1694. <a name="l01595"></a>01595                                 <span class="keywordflow">if</span>(it-&gt;deltaY!=0)
    1695. 

  1695. <a name="l01596"></a>01596                                         L+=it-&gt;deltaY/(1.0+exp(-kParam*(x-it-&gt;h)));
    1696. 

  1696. <a name="l01597"></a>01597                                 <span class="keywordflow">if</span>(it-&gt;deltaM!=0)
    1697. 

  1697. <a name="l01598"></a>01598                                         L+=(it-&gt;deltaM/kParam)*log(1.0+exp(kParam*(x-it-&gt;h)));
    1698. 

  1698. <a name="l01599"></a>01599                         }
    1699. 

  1699. <a name="l01600"></a>01600                         L=(1.0/rhoParam)*log(exp(rhoParam*1e-6)+exp(rhoParam*L));
    1700. 

  1700. <a name="l01601"></a>01601                         <span class="keywordflow">return</span> L;
    1701. 

  1701. <a name="l01602"></a>01602                 }
    1702. 

  1702. <a name="l01603"></a>01603 
    1703. 

  1703. <a name="l01604"></a><a class="code" href="classapproxSegment.html#aba4715c01c2aa16b7d9d7ea59d5f5b2a">01604</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classapproxSegment.html#aba4715c01c2aa16b7d9d7ea59d5f5b2a">length</a>()
    1704. 

  1704. <a name="l01605"></a>01605                 {
    1705. 

  1705. <a name="l01606"></a>01606                         <span class="keywordflow">return</span> L0;
    1706. 

  1706. <a name="l01607"></a>01607                 }
    1707. 

  1707. <a name="l01608"></a>01608 
    1708. 

  1708. <a name="l01609"></a><a class="code" href="classapproxSegment.html#ab3b5d6a05fa4084f2ef9cf267268f8d7">01609</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classapproxSegment.html#ab3b5d6a05fa4084f2ef9cf267268f8d7">angle</a>()
    1709. 

  1709. <a name="l01610"></a>01610                 {
    1710. 

  1710. <a name="l01611"></a>01611                         <span class="keywordflow">return</span> angleData;
    1711. 

  1711. <a name="l01612"></a>01612                 }
    1712. 

  1712. <a name="l01613"></a>01613 
    1713. 

  1713. <a name="l01614"></a><a class="code" href="classapproxSegment.html#a97ba8f38ed2d0df88b778f5ad9c71ced">01614</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classapproxSegment.html#a97ba8f38ed2d0df88b778f5ad9c71ced">deltaX</a>()
    1714. 

  1714. <a name="l01615"></a>01615                 {
    1715. 

  1715. <a name="l01616"></a>01616                         <span class="keywordflow">return</span> end0.x-start0.x;
    1716. 

  1716. <a name="l01617"></a>01617                 }
    1717. 

  1717. <a name="l01618"></a>01618 
    1718. 

  1718. <a name="l01619"></a><a class="code" href="classapproxSegment.html#a3397e4b1b24691b8bb54d26b0cce1b0d">01619</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classapproxSegment.html#a3397e4b1b24691b8bb54d26b0cce1b0d">deltaY</a>()
    1719. 

  1719. <a name="l01620"></a>01620                 {
    1720. 

  1720. <a name="l01621"></a>01621                         <span class="keywordflow">return</span> end0.y-start0.y;
    1721. 

  1721. <a name="l01622"></a>01622                 }
    1722. 

  1722. <a name="l01623"></a>01623 
    1723. 

  1723. <a name="l01624"></a><a class="code" href="classapproxSegment.html#a3526f793daac4c714240ac91261e56c0">01624</a>                 <span class="keywordtype">void</span> <a class="code" href="classapproxSegment.html#a3526f793daac4c714240ac91261e56c0">print</a>()
    1724. 

  1724. <a name="l01625"></a>01625                 {
    1725. 

  1725. <a name="l01626"></a>01626                         <span class="keywordflow">for</span>(<span class="keyword">typename</span> std::list&lt;event&gt;::iterator it=events.begin();it!=events.end();it++)
    1726. 

  1726. <a name="l01627"></a>01627                                 std::cout &lt;&lt; it-&gt;h &lt;&lt; <span class="charliteral">&#39;\t&#39;</span> &lt;&lt; it-&gt;l &lt;&lt; std::endl;
    1727. 

  1727. <a name="l01628"></a>01628                 }
    1728. 

  1728. <a name="l01629"></a>01629 };
    1729. 

  1729. <a name="l01630"></a>01630 
    1730. 

  1730. <a name="l01631"></a>01631 <span class="comment">// this is the data structure for polygon offseting</span>
    1731. 

  1731. <a name="l01632"></a>01632 <span class="comment">// this data structure is initialized with a set of points (or a simple polygon)</span>
    1732. 

  1732. <a name="l01633"></a>01633 <span class="comment">// this data structure provides the approximated offset for a polygon</span>
    1733. 

  1733. <a name="l01634"></a>01634 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    1734. 

  1734. <a name="l01635"></a><a class="code" href="classapproxOffset.html">01635</a> <span class="keyword">class </span><a class="code" href="classapproxOffset.html">approxOffset</a>
    1735. 

  1735. <a name="l01636"></a>01636 {
    1736. 

  1736. <a name="l01637"></a>01637         <span class="keyword">private</span>:
    1737. 

  1737. <a name="l01638"></a>01638 
    1738. 

  1738. <a name="l01639"></a>01639                 std::vector&lt;approxSegment&lt;dataType&gt; &gt; segments;
    1739. 

  1739. <a name="l01640"></a>01640                 std::vector&lt;bool&gt; segSet;
    1740. 

  1740. <a name="l01641"></a>01641                 <span class="keywordtype">bool</span> setsBuilt;
    1741. 

  1741. <a name="l01642"></a>01642                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> maxHData;
    1742. 

  1742. <a name="l01643"></a>01643 
    1743. 

  1743. <a name="l01644"></a>01644                 <span class="keyword">class </span>offsetData;
    1744. 

  1744. <a name="l01645"></a>01645 
    1745. 

  1745. <a name="l01646"></a>01646                 offsetData* data;
    1746. 

  1746. <a name="l01647"></a>01647 
    1747. 

  1747. <a name="l01648"></a>01648                 <span class="keyword">class </span><a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">topoCollapse</a>
    1748. 

  1748. <a name="l01649"></a>01649                 {
    1749. 

  1749. <a name="l01650"></a>01650                         <span class="keyword">public</span>:
    1750. 

  1750. <a name="l01651"></a>01651                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h;
    1751. 

  1751. <a name="l01652"></a>01652                                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at_0;
    1752. 

  1752. <a name="l01653"></a>01653                                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at_1;
    1753. 

  1753. <a name="l01654"></a>01654                                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> b0;
    1754. 

  1754. <a name="l01655"></a>01655                                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> b1;
    1755. 

  1755. <a name="l01656"></a>01656                                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> meet;
    1756. 

  1756. <a name="l01657"></a>01657                                 <span class="keywordtype">bool</span> valid;
    1757. 

  1757. <a name="l01658"></a>01658                 
    1758. 

  1758. <a name="l01659"></a>01659                                 <a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">topoCollapse</a>();
    1759. 

  1759. <a name="l01660"></a>01660                                 <a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">topoCollapse</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> edge,std::vector&lt;<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> &gt;&amp; pntsTmp,<span class="keyword">const</span> <a class="code" href="classapproxOffset.html">approxOffset</a>&amp; pLine);
    1760. 

  1760. <a name="l01661"></a>01661                                 <a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">topoCollapse</a>(<span class="keyword">const</span> <a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">topoCollapse</a>&amp; asg);
    1761. 

  1761. <a name="l01662"></a>01662                                 ~<a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">topoCollapse</a>();
    1762. 

  1762. <a name="l01663"></a>01663 
    1763. 

  1763. <a name="l01664"></a>01664                                 <a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">topoCollapse</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">topoCollapse</a>&amp; asg);
    1764. 

  1764. <a name="l01665"></a>01665                 };
    1765. 

  1765. <a name="l01666"></a>01666 
    1766. 

  1766. <a name="l01667"></a><a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">01667</a>                 <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">topoCollapse</a>;
    1767. 

  1767. <a name="l01668"></a>01668 
    1768. 

  1768. <a name="l01669"></a>01669                 <span class="comment">// find the events</span>
    1769. 

  1769. <a name="l01670"></a>01670                 <span class="comment">// this class has many of the methods used in the polyline offset.</span>
    1770. 

  1770. <a name="l01671"></a>01671                 <span class="comment">// these methods are modified somewhat to detect events</span>
    1771. 

  1771. <a name="l01672"></a>01672 
    1772. 

  1772. <a name="l01673"></a>01673                 <span class="keyword">class </span>offsetData
    1773. 

  1773. <a name="l01674"></a>01674                 {
    1774. 

  1774. <a name="l01675"></a>01675                         <span class="keyword">public</span>:
    1775. 

  1775. <a name="l01676"></a>01676 
    1776. 

  1776. <a name="l01677"></a>01677                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atH;
    1777. 

  1777. <a name="l01678"></a>01678                                 std::vector&lt;planePoint&lt;dataType&gt; &gt; pnts;
    1778. 

  1778. <a name="l01679"></a>01679                                 std::vector&lt;unsigned long&gt; segMap;
    1779. 

  1779. <a name="l01680"></a>01680 
    1780. 

  1780. <a name="l01681"></a>01681                                 offsetData(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz) : atH(0.0) , pnts(sz) , segMap(sz)
    1781. 

  1781. <a name="l01682"></a>01682                                 {}
    1782. 

  1782. <a name="l01683"></a>01683                 };
    1783. 

  1783. <a name="l01684"></a>01684 
    1784. 

  1784. <a name="l01685"></a>01685                 <a class="code" href="classmatrixVectorSolver.html">matrixVectorSolver</a> slvr;
    1785. 

  1785. <a name="l01686"></a>01686 
    1786. 

  1786. <a name="l01687"></a>01687                 <span class="comment">// This gets the indices offset in a sequence that wraps</span>
    1787. 

  1787. <a name="l01688"></a>01688                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> wrapIndex(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at,<span class="keywordtype">long</span> <a class="code" href="classapproxOffset.html#ac0d6991ecf091dc329b616a993914caf">offset</a>) <span class="keyword">const</span>;
    1788. 

  1788. <a name="l01689"></a>01689                 <span class="comment">// removes points</span>
    1789. 

  1789. <a name="l01690"></a>01690                 <span class="keywordtype">void</span> removePoints(std::vector&lt;unsigned long&gt;&amp; indices);
    1790. 

  1790. <a name="l01691"></a>01691                 <span class="comment">// Gives a segment defined by</span>
    1791. 

  1791. <a name="l01692"></a>01692                 <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a> getSegVect(<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> start,<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> end);
    1792. 

  1792. <a name="l01693"></a>01693                 <span class="comment">// retrieves the line segment in std::vector format for the point [at] to [at+1]</span>
    1793. 

  1793. <a name="l01694"></a>01694                 <span class="comment">// if at+1=size then it is to at=0</span>
    1794. 

  1794. <a name="l01695"></a>01695                 <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a> getSegVect(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at);
    1795. 

  1795. <a name="l01696"></a>01696                 <span class="comment">// This function finds the next event where an offsetting line segment is collapsed by the adjecent sections</span>
    1796. 

  1796. <a name="l01697"></a>01697                 <span class="keywordtype">void</span> nextCollapse(<span class="keywordtype">bool</span>&amp; isPos,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; minH,std::vector&lt;topoCollapse&gt; &amp;topoClps,<span class="keywordtype">bool</span>&amp; isNeg,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; minNegH,std::vector&lt;topoCollapse&gt; &amp;negTopoClps);
    1797. 

  1797. <a name="l01698"></a>01698                 <span class="comment">// Given a vertex and segment this will find if there is a split and some properties of the split</span>
    1798. 

  1798. <a name="l01699"></a>01699                 <span class="keywordtype">bool</span> testSplit(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> vertex,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> segment,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; h);
    1799. 

  1799. <a name="l01700"></a>01700                 <span class="comment">// Given a reflex vertex this function attempts to find the next split event</span>
    1800. 

  1800. <a name="l01701"></a>01701                 <span class="keywordtype">bool</span> seekSplit(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> vertex,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; segment,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; h);
    1801. 

  1801. <a name="l01702"></a>01702                 <span class="comment">// This function attempts to find where the next split is. The dir is either 1 or -1, and is used to specify direction.</span>
    1802. 

  1802. <a name="l01703"></a>01703                 <span class="comment">// offset to the left of the segment is positive</span>
    1803. 

  1803. <a name="l01704"></a>01704                 <span class="keywordtype">bool</span> nextSplit(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; segment,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; h);
    1804. 

  1804. <a name="l01705"></a>01705                 <span class="comment">// This function will create a new polygon with a set of collapses. the ne poly gone has been offsetted h (should be same as offset in collapse)</span>
    1805. 

  1805. <a name="l01706"></a>01706                 <span class="keywordtype">void</span> collapseTopology(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h,std::vector&lt;topoCollapse&gt;&amp; topoClps);
    1806. 

  1806. <a name="l01707"></a>01707                 <span class="comment">// joins all adjacent segments that are co-linear deletes coincident points</span>
    1807. 

  1807. <a name="l01708"></a>01708                 <span class="keywordtype">void</span> cleanPolygon(<span class="keywordtype">bool</span>&amp; isValid,<span class="keywordtype">bool</span>&amp; faceMeetTmp);
    1808. 

  1808. <a name="l01709"></a>01709                 <span class="comment">// This retrieves the bisect vector</span>
    1809. 

  1809. <a name="l01710"></a>01710                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> getBisect(<span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; at) <span class="keyword">const</span>;
    1810. 

  1810. <a name="l01711"></a>01711                 <span class="comment">// this determines how much a bisect extends per unit h</span>
    1811. 

  1811. <a name="l01712"></a>01712                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> bisectScale(<span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; at) <span class="keyword">const</span>;
    1812. 

  1812. <a name="l01713"></a>01713 
    1813. 

  1813. <a name="l01714"></a>01714                 <span class="keywordtype">void</span> setLengths()
    1814. 

  1814. <a name="l01715"></a>01715                 {
    1815. 

  1815. <a name="l01716"></a>01716                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;segMap.size();i++)
    1816. 

  1816. <a name="l01717"></a>01717                                 segments[data-&gt;segMap[i]].addEvent(data-&gt;atH, getSegVect(wrapIndex(i,-1)).delta.length());
    1817. 

  1817. <a name="l01718"></a>01718                 }
    1818. 

  1818. <a name="l01719"></a>01719 
    1819. 

  1819. <a name="l01720"></a>01720                 <span class="keywordtype">void</span> done()
    1820. 

  1820. <a name="l01721"></a>01721                 {
    1821. 

  1821. <a name="l01722"></a>01722                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;segMap.size();i++)
    1822. 

  1822. <a name="l01723"></a>01723                                 segments[data-&gt;segMap[i]].addEvent(data-&gt;atH,0.0);
    1823. 

  1823. <a name="l01724"></a>01724                         maxHData=data-&gt;atH;
    1824. 

  1824. <a name="l01725"></a>01725                 }
    1825. 

  1825. <a name="l01726"></a>01726 
    1826. 

  1826. <a name="l01727"></a>01727                 <span class="keywordtype">void</span> buildSegments()
    1827. 

  1827. <a name="l01728"></a>01728                 {
    1828. 

  1828. <a name="l01729"></a>01729                         <span class="comment">// create the data structures</span>
    1829. 

  1829. <a name="l01730"></a>01730                         data=<span class="keyword">new</span> offsetData(segments.size());
    1830. 

  1830. <a name="l01731"></a>01731                         <span class="keywordflow">if</span>(data==NULL)
    1831. 

  1831. <a name="l01732"></a>01732                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;approxOffset::buildSegments()&quot;</span>);
    1832. 

  1832. <a name="l01733"></a>01733 
    1833. 

  1833. <a name="l01734"></a>01734                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;pnts.size();i++)
    1834. 

  1834. <a name="l01735"></a>01735                         {
    1835. 

  1835. <a name="l01736"></a>01736                                 data-&gt;pnts[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].start();
    1836. 

  1836. <a name="l01737"></a>01737                                 data-&gt;segMap[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=wrapIndex(i,-1);
    1837. 

  1837. <a name="l01738"></a>01738                         }
    1838. 

  1838. <a name="l01739"></a>01739 
    1839. 

  1839. <a name="l01740"></a>01740                         <span class="comment">// Next step is a little nebulous</span>
    1840. 

  1840. <a name="l01741"></a>01741                         <span class="keywordtype">bool</span> isValid=<span class="keyword">true</span>;
    1841. 

  1841. <a name="l01742"></a>01742                         <span class="keywordtype">bool</span> isPos;
    1842. 

  1842. <a name="l01743"></a>01743                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> minH;
    1843. 

  1843. <a name="l01744"></a>01744                         std::vector&lt;typename approxOffset&lt;dataType&gt;::topoCollapse&gt; topoClps;
    1844. 

  1844. <a name="l01745"></a>01745                         <span class="keywordtype">bool</span> isNeg;
    1845. 

  1845. <a name="l01746"></a>01746                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> minNegH;
    1846. 

  1846. <a name="l01747"></a>01747                         std::vector&lt;typename approxOffset&lt;dataType&gt;::topoCollapse&gt; negTopoClps;
    1847. 

  1847. <a name="l01748"></a>01748                         <span class="keywordtype">bool</span> isClps;
    1848. 

  1848. <a name="l01749"></a>01749                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> clpsH;
    1849. 

  1849. <a name="l01750"></a>01750                         std::vector&lt;typename approxOffset&lt;dataType&gt;::topoCollapse&gt; Clps;
    1850. 

  1850. <a name="l01751"></a>01751                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> segment;
    1851. 

  1851. <a name="l01752"></a>01752                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> hSplit;
    1852. 

  1852. <a name="l01753"></a>01753                         <span class="keywordtype">bool</span> faceMeetTst; <span class="comment">// This is just a dummy variable that is ignored. It detects the condition where upon a collapse two adjacent segments become coincident ie 180 degree turn</span>
    1853. 

  1853. <a name="l01754"></a>01754 
    1854. 

  1854. <a name="l01755"></a>01755                         <span class="comment">// here we pre-event</span>
    1855. 

  1855. <a name="l01756"></a>01756                         setLengths();
    1856. 

  1856. <a name="l01757"></a>01757                         <span class="keywordflow">while</span>(isValid)
    1857. 

  1857. <a name="l01758"></a>01758                         {
    1858. 

  1858. <a name="l01759"></a>01759                                 cleanPolygon(isValid,faceMeetTst);
    1859. 

  1859. <a name="l01760"></a>01760                                 <span class="comment">// if cleanPolygon is flagged as invalid then pop out of loop here</span>
    1860. 

  1860. <a name="l01761"></a>01761                                 <span class="keywordflow">if</span>(!isValid)
    1861. 

  1861. <a name="l01762"></a>01762                                         <span class="keywordflow">break</span>;
    1862. 

  1862. <a name="l01763"></a>01763                                 <span class="comment">// here we post-event the valid </span>
    1863. 

  1863. <a name="l01764"></a>01764                                 setLengths();
    1864. 

  1864. <a name="l01765"></a>01765 
    1865. 

  1865. <a name="l01766"></a>01766                                 isClps=<span class="keyword">false</span>;
    1866. 

  1866. <a name="l01767"></a>01767                                 clpsH=0.0;
    1867. 

  1867. <a name="l01768"></a>01768                                 Clps=std::vector&lt;typename approxOffset&lt;dataType&gt;::topoCollapse&gt;(0);
    1868. 

  1868. <a name="l01769"></a>01769                                 nextCollapse(isPos,minH,topoClps,isNeg,minNegH,negTopoClps);
    1869. 

  1869. <a name="l01770"></a>01770                                 <span class="keywordflow">if</span>(isPos)
    1870. 

  1870. <a name="l01771"></a>01771                                 {
    1871. 

  1871. <a name="l01772"></a>01772                                         isClps=<span class="keyword">true</span>;
    1872. 

  1872. <a name="l01773"></a>01773                                         clpsH=minH;
    1873. 

  1873. <a name="l01774"></a>01774                                         Clps=topoClps;
    1874. 

  1874. <a name="l01775"></a>01775                                 }
    1875. 

  1875. <a name="l01776"></a>01776 
    1876. 

  1876. <a name="l01777"></a>01777                                 <span class="keywordflow">if</span>(nextSplit(segment,hSplit))
    1877. 

  1877. <a name="l01778"></a>01778                                 {
    1878. 

  1878. <a name="l01779"></a>01779                                         <span class="comment">// There needs to be logic to set the last event</span>
    1879. 

  1879. <a name="l01780"></a>01780                                         <span class="keywordflow">if</span>(!isClps || hSplit&lt;fabs(clpsH))
    1880. 

  1880. <a name="l01781"></a>01781                                         {
    1881. 

  1881. <a name="l01782"></a>01782                                                 isValid=<span class="keyword">false</span>;
    1882. 

  1882. <a name="l01783"></a>01783                                                 clpsH=hSplit;
    1883. 

  1883. <a name="l01784"></a>01784                                                 isClps=<span class="keyword">true</span>;
    1884. 

  1884. <a name="l01785"></a>01785                                         }
    1885. 

  1885. <a name="l01786"></a>01786                                 }
    1886. 

  1886. <a name="l01787"></a>01787 
    1887. 

  1887. <a name="l01788"></a>01788                                 <span class="keywordflow">if</span>(!isClps)
    1888. 

  1888. <a name="l01789"></a>01789                                         <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;approxOffset::buildSegments(): No collapse detected&quot;</span>);
    1889. 

  1889. <a name="l01790"></a>01790 
    1890. 

  1890. <a name="l01791"></a>01791                                 collapseTopology(clpsH,Clps);
    1891. 

  1891. <a name="l01792"></a>01792                                 <span class="comment">// here we pre-event</span>
    1892. 

  1892. <a name="l01793"></a>01793                                 setLengths();
    1893. 

  1893. <a name="l01794"></a>01794                         }
    1894. 

  1894. <a name="l01795"></a>01795                         done();
    1895. 

  1895. <a name="l01796"></a>01796                         setsBuilt=<span class="keyword">true</span>;
    1896. 

  1896. <a name="l01797"></a>01797 
    1897. 

  1897. <a name="l01798"></a>01798                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;segments.size();i++)
    1898. 

  1898. <a name="l01799"></a>01799                                 segments[i].finalize();
    1899. 

  1899. <a name="l01800"></a>01800 
    1900. 

  1900. <a name="l01801"></a>01801                         <span class="keyword">delete</span> data;
    1901. 

  1901. <a name="l01802"></a>01802                         data=NULL;
    1902. 

  1902. <a name="l01803"></a>01803                 }
    1903. 

  1903. <a name="l01804"></a>01804 
    1904. 

  1904. <a name="l01805"></a>01805         <span class="keyword">public</span>:
    1905. 

  1905. <a name="l01806"></a>01806 
    1906. 

  1906. <a name="l01807"></a><a class="code" href="classapproxOffset.html#acac537d81e7f9e4711152e26d6135367">01807</a>                 <a class="code" href="classapproxOffset.html#acac537d81e7f9e4711152e26d6135367">approxOffset</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> size_in=0) : segments(size_in) , segSet(size_in) , setsBuilt(false) , maxHData(0.0) , data(NULL)
    1907. 

  1907. <a name="l01808"></a>01808                 {}
    1908. 

  1908. <a name="l01809"></a>01809 
    1909. 

  1909. <a name="l01810"></a><a class="code" href="classapproxOffset.html#ab9396a25d7bfb22dd5ba5598446eb74f">01810</a>                 <a class="code" href="classapproxOffset.html#ab9396a25d7bfb22dd5ba5598446eb74f">~approxOffset</a>()
    1910. 

  1910. <a name="l01811"></a>01811                 {
    1911. 

  1911. <a name="l01812"></a>01812                         <span class="keywordflow">if</span>(data!=NULL)
    1912. 

  1912. <a name="l01813"></a>01813                                 <span class="keyword">delete</span> data;
    1913. 

  1913. <a name="l01814"></a>01814                 }
    1914. 

  1914. <a name="l01815"></a>01815 
    1915. 

  1915. <a name="l01816"></a><a class="code" href="classapproxOffset.html#a7a9ce7ef4356bf96465ef66cc1b1eecc">01816</a>                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classapproxOffset.html#a7a9ce7ef4356bf96465ef66cc1b1eecc">size</a>()
    1916. 

  1916. <a name="l01817"></a>01817                 {
    1917. 

  1917. <a name="l01818"></a>01818                         <span class="keywordflow">return</span> segments.size();
    1918. 

  1918. <a name="l01819"></a>01819                 }
    1919. 

  1919. <a name="l01820"></a>01820 
    1920. 

  1920. <a name="l01821"></a><a class="code" href="classapproxOffset.html#a463dab75995fd25c23da5b7ebbd59388">01821</a>                 <span class="keywordtype">void</span> <a class="code" href="classapproxOffset.html#a463dab75995fd25c23da5b7ebbd59388">resize</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> size_in)
    1921. 

  1921. <a name="l01822"></a>01822                 {
    1922. 

  1922. <a name="l01823"></a>01823                         segments.resize(size_in);
    1923. 

  1923. <a name="l01824"></a>01824                         segSet.resize(size_in,<span class="keyword">false</span>);
    1924. 

  1924. <a name="l01825"></a>01825                 }
    1925. 

  1925. <a name="l01826"></a>01826 
    1926. 

  1926. <a name="l01827"></a><a class="code" href="classapproxOffset.html#aeb585fb2b546cdd6acb7449702c8102b">01827</a>                 <span class="keywordtype">void</span> <a class="code" href="classapproxOffset.html#aeb585fb2b546cdd6acb7449702c8102b">addPoint</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at,<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> pnt_in)
    1927. 

  1927. <a name="l01828"></a>01828                 {
    1928. 

  1928. <a name="l01829"></a>01829                         <span class="keywordflow">if</span>(at&gt;=segments.size())
    1929. 

  1929. <a name="l01830"></a>01830                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;approxOffset::addPoint(): The given point does not exist&quot;</span>);
    1930. 

  1930. <a name="l01831"></a>01831                         segments[wrapIndex(at,0)].start()=pnt_in;
    1931. 

  1931. <a name="l01832"></a>01832                         segments[wrapIndex(at,-1)].end()=pnt_in;
    1932. 

  1932. <a name="l01833"></a>01833                         segSet[wrapIndex(at,0)]=<span class="keyword">true</span>;
    1933. 

  1933. <a name="l01834"></a>01834                 }
    1934. 

  1934. <a name="l01835"></a>01835 
    1935. 

  1935. <a name="l01836"></a><a class="code" href="classapproxOffset.html#ac0d6991ecf091dc329b616a993914caf">01836</a>                 <a class="code" href="classpolygon.html">polygon&lt;dataType&gt;</a> <a class="code" href="classapproxOffset.html#ac0d6991ecf091dc329b616a993914caf">offset</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h)
    1936. 

  1936. <a name="l01837"></a>01837                 {
    1937. 

  1937. <a name="l01838"></a>01838                         <span class="keywordflow">if</span>(!setsBuilt)
    1938. 

  1938. <a name="l01839"></a>01839                                 buildSegments();
    1939. 

  1939. <a name="l01840"></a>01840 
    1940. 

  1940. <a name="l01841"></a>01841                         slvr.<a class="code" href="classmatrixVectorSolver.html#ac1dd8a47143533da291f2211de8e2500">resize</a>(2*segments.size()+3);
    1941. 

  1941. <a name="l01842"></a>01842                         slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>()=<a class="code" href="classmatrix.html">matrix&lt;dataType&gt;::zeroMatrix</a>(2*segments.size()+3,2*segments.size()+3);
    1942. 

  1942. <a name="l01843"></a>01843                         slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>()=<a class="code" href="classmatrix.html">matrix&lt;dataType&gt;::zeroMatrix</a>(2*segments.size()+3,1);
    1943. 

  1943. <a name="l01844"></a>01844 
    1944. 

  1944. <a name="l01845"></a>01845                         std::vector&lt;dataType&gt; <a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>(segments.size());
    1945. 

  1945. <a name="l01846"></a>01846                         std::vector&lt;dataType&gt; angle(segments.size());
    1946. 

  1946. <a name="l01847"></a>01847                         std::vector&lt;dataType&gt; LCos(segments.size());
    1947. 

  1947. <a name="l01848"></a>01848                         std::vector&lt;dataType&gt; LSin(segments.size());
    1948. 

  1948. <a name="l01849"></a>01849                         std::vector&lt;dataType&gt; LCos2(segments.size());
    1949. 

  1949. <a name="l01850"></a>01850                         std::vector&lt;dataType&gt; LCosSin(segments.size());
    1950. 

  1950. <a name="l01851"></a>01851                         std::vector&lt;dataType&gt; LSin2(segments.size());
    1951. 

  1951. <a name="l01852"></a>01852                         std::vector&lt;dataType&gt; xCoeff(segments.size());
    1952. 

  1952. <a name="l01853"></a>01853                         std::vector&lt;dataType&gt; yCoeff(segments.size());
    1953. 

  1953. <a name="l01854"></a>01854                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> LCosSum=0.0;
    1954. 

  1954. <a name="l01855"></a>01855                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> LSinSum=0.0;
    1955. 

  1955. <a name="l01856"></a>01856                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> LCos2Sum=0.0;
    1956. 

  1956. <a name="l01857"></a>01857                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> LCosSinSum=0.0;
    1957. 

  1957. <a name="l01858"></a>01858                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> LSin2Sum=0.0;
    1958. 

  1958. <a name="l01859"></a>01859                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> scaleSource=0.0;
    1959. 

  1959. <a name="l01860"></a>01860                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> xBarSource=0.0;
    1960. 

  1960. <a name="l01861"></a>01861                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> yBarSource=0.0;
    1961. 

  1961. <a name="l01862"></a>01862 
    1962. 

  1962. <a name="l01863"></a>01863                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;segments.size();i++)
    1963. 

  1963. <a name="l01864"></a>01864                         {
    1964. 

  1964. <a name="l01865"></a>01865                                 <a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].length(h);
    1965. 

  1965. <a name="l01866"></a>01866                                 angle[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].angle();
    1966. 

  1966. <a name="l01867"></a>01867                                 LCos[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*cos(angle[i]);
    1967. 

  1967. <a name="l01868"></a>01868                                 LSin[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*sin(angle[i]);
    1968. 

  1968. <a name="l01869"></a>01869                                 LCos2[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*pow(cos(angle[i]),2.0);
    1969. 

  1969. <a name="l01870"></a>01870                                 LCosSin[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*cos(angle[i])*sin(angle[i]);
    1970. 

  1970. <a name="l01871"></a>01871                                 LSin2[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*pow(sin(angle[i]),2.0);
    1971. 

  1971. <a name="l01872"></a>01872                                 xCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=-<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].deltaY()/segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].length();
    1972. 

  1972. <a name="l01873"></a>01873                                 yCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].deltaX()/segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].length();
    1973. 

  1973. <a name="l01874"></a>01874                                 LCosSum+=LCos[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>];
    1974. 

  1974. <a name="l01875"></a>01875                                 LSinSum+=LSin[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>];
    1975. 

  1975. <a name="l01876"></a>01876                                 LCos2Sum+=LCos2[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>];
    1976. 

  1976. <a name="l01877"></a>01877                                 LCosSinSum+=LCosSin[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>];
    1977. 

  1977. <a name="l01878"></a>01878                                 LSin2Sum+=LSin2[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>];
    1978. 

  1978. <a name="l01879"></a>01879                                 scaleSource+=xCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].start().x+yCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].start().y+<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*h;
    1979. 

  1979. <a name="l01880"></a>01880                                 xBarSource+=xCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*(xCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].start().x+yCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].start().y+<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*h);
    1980. 

  1980. <a name="l01881"></a>01881                                 yBarSource+=yCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*(xCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].start().x+yCoeff[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*segments[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>].start().y+<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]*h);
    1981. 

  1981. <a name="l01882"></a>01882                         }
    1982. 

  1982. <a name="l01883"></a>01883 
    1983. 

  1983. <a name="l01884"></a>01884                         <span class="comment">// insert the relative position equations</span>
    1984. 

  1984. <a name="l01885"></a>01885                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;(segments.size()-1);i++)
    1985. 

  1985. <a name="l01886"></a>01886                         {
    1986. 

  1986. <a name="l01887"></a>01887                                 <span class="comment">// The x index</span>
    1987. 

  1987. <a name="l01888"></a>01888                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2,i*2)=-1.0;
    1988. 

  1988. <a name="l01889"></a>01889                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2,i*2+2)=1.0;
    1989. 

  1989. <a name="l01890"></a>01890                                 <span class="comment">// The y index</span>
    1990. 

  1990. <a name="l01891"></a>01891                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2+1,i*2+1)=-1.0;
    1991. 

  1991. <a name="l01892"></a>01892                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2+1,i*2+3)=1.0;
    1992. 

  1992. <a name="l01893"></a>01893                                 <span class="comment">// The alpha beta gamma</span>
    1993. 

  1993. <a name="l01894"></a>01894                                 <span class="comment">// x</span>
    1994. 

  1994. <a name="l01895"></a>01895                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2,segments.size()*2)=-LCos2[i];
    1995. 

  1995. <a name="l01896"></a>01896                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2,segments.size()*2+1)=-LCosSin[i];
    1996. 

  1996. <a name="l01897"></a>01897                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2,segments.size()*2+2)=-LCos[i];
    1997. 

  1997. <a name="l01898"></a>01898                                 <span class="comment">// y</span>
    1998. 

  1998. <a name="l01899"></a>01899                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2+1,segments.size()*2)=-LCosSin[i];
    1999. 

  1999. <a name="l01900"></a>01900                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2+1,segments.size()*2+1)=-LSin2[i];
    2000. 

  2000. <a name="l01901"></a>01901                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(i*2+1,segments.size()*2+2)=-LSin[i];
    2001. 

  2001. <a name="l01902"></a>01902                                 <span class="comment">// source term</span>
    2002. 

  2002. <a name="l01903"></a>01903                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>().<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(i*2)=LCos[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>];
    2003. 

  2003. <a name="l01904"></a>01904                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>().<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(i*2+1)=LSin[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>];
    2004. 

  2004. <a name="l01905"></a>01905                         }
    2005. 

  2005. <a name="l01906"></a>01906 
    2006. 

  2006. <a name="l01907"></a>01907                         <span class="comment">// insert the closure constraints</span>
    2007. 

  2007. <a name="l01908"></a>01908                         slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>((segments.size()-1)*2,segments.size()*2)=LCos2Sum;
    2008. 

  2008. <a name="l01909"></a>01909                         slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>((segments.size()-1)*2+1,segments.size()*2)=LCosSinSum;
    2009. 

  2009. <a name="l01910"></a>01910                         slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>((segments.size()-1)*2,segments.size()*2+1)=LCosSinSum;
    2010. 

  2010. <a name="l01911"></a>01911                         slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>((segments.size()-1)*2+1,segments.size()*2+1)=LSin2Sum;
    2011. 

  2011. <a name="l01912"></a>01912                         slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>((segments.size()-1)*2,segments.size()*2+2)=LCosSum;
    2012. 

  2012. <a name="l01913"></a>01913                         slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>((segments.size()-1)*2+1,segments.size()*2+2)=LSinSum;
    2013. 

  2013. <a name="l01914"></a>01914                         slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>().<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>((segments.size()-1)*2)=-LCosSum;
    2014. 

  2014. <a name="l01915"></a>01915                         slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>().<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>((segments.size()-1)*2+1)=-LSinSum;
    2015. 

  2015. <a name="l01916"></a>01916 
    2016. 

  2016. <a name="l01917"></a>01917                         <span class="comment">// insert the scale and center constraints</span>
    2017. 

  2017. <a name="l01918"></a>01918                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;segments.size();i++)
    2018. 

  2018. <a name="l01919"></a>01919                         {
    2019. 

  2019. <a name="l01920"></a>01920                                 <span class="comment">// scale constraint</span>
    2020. 

  2020. <a name="l01921"></a>01921                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(segments.size()*2,i*2)=xCoeff[i];
    2021. 

  2021. <a name="l01922"></a>01922                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(segments.size()*2,i*2+1)=yCoeff[i];
    2022. 

  2022. <a name="l01923"></a>01923                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>().<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(segments.size()*2)=scaleSource;
    2023. 

  2023. <a name="l01924"></a>01924                                 <span class="comment">// Average X position</span>
    2024. 

  2024. <a name="l01925"></a>01925                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(segments.size()*2+1,i*2)=xCoeff[i]*xCoeff[i];
    2025. 

  2025. <a name="l01926"></a>01926                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(segments.size()*2+1,i*2+1)=xCoeff[i]*yCoeff[i];
    2026. 

  2026. <a name="l01927"></a>01927                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>().<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(segments.size()*2+1)=xBarSource;
    2027. 

  2027. <a name="l01928"></a>01928                                 <span class="comment">// Average Y position</span>
    2028. 

  2028. <a name="l01929"></a>01929                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(segments.size()*2+2,i*2)=yCoeff[i]*xCoeff[i];
    2029. 

  2029. <a name="l01930"></a>01930                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a436841316325da875108c1cd9578014a">A</a>().<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(segments.size()*2+2,i*2+1)=yCoeff[i]*yCoeff[i];
    2030. 

  2030. <a name="l01931"></a>01931                                 slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>().<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(segments.size()*2+2)=yBarSource;
    2031. 

  2031. <a name="l01932"></a>01932                         }
    2032. 

  2032. <a name="l01933"></a>01933 
    2033. 

  2033. <a name="l01934"></a>01934                         slvr.<a class="code" href="classmatrixVectorSolver.html#ab9b2e9bb3706acc5807ad4ec49a7a7b7">solve</a>();
    2034. 

  2034. <a name="l01935"></a>01935 
    2035. 

  2035. <a name="l01936"></a>01936                         <a class="code" href="classpolygon.html">polygon&lt;dataType&gt;</a> retVal(segments.size());
    2036. 

  2036. <a name="l01937"></a>01937 
    2037. 

  2037. <a name="l01938"></a>01938                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;segments.size();i++)
    2038. 

  2038. <a name="l01939"></a>01939                                 retVal.<a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>(i)=<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>().<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(i*2),slvr.<a class="code" href="classmatrixVectorSolver.html#a8ace97aea50702cb4ccfe299d3e3784a">B</a>().<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(i*2+1));
    2039. 

  2039. <a name="l01940"></a>01940 
    2040. 

  2040. <a name="l01941"></a>01941                         <span class="comment">// with all the segment length trends established we can build the matrix and solve the offset ...</span>
    2041. 

  2041. <a name="l01942"></a>01942                         <span class="keywordflow">return</span> retVal;
    2042. 

  2042. <a name="l01943"></a>01943                 }
    2043. 

  2043. <a name="l01944"></a>01944 
    2044. 

  2044. <a name="l01945"></a><a class="code" href="classapproxOffset.html#a749e13f6b9d6a32099731f382a41746b">01945</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classapproxOffset.html#a749e13f6b9d6a32099731f382a41746b">maxH</a>()
    2045. 

  2045. <a name="l01946"></a>01946                 {
    2046. 

  2046. <a name="l01947"></a>01947                         <span class="keywordflow">if</span>(!setsBuilt)
    2047. 

  2047. <a name="l01948"></a>01948                                 buildSegments();
    2048. 

  2048. <a name="l01949"></a>01949                         <span class="keywordflow">return</span> maxHData;
    2049. 

  2049. <a name="l01950"></a>01950                 }
    2050. 

  2050. <a name="l01951"></a>01951 };
    2051. 

  2051. <a name="l01952"></a>01952 
    2052. 

  2052. <a name="l01953"></a>01953 <span class="comment">// template&lt;class dataType&gt;</span>
    2053. 

  2053. <a name="l01954"></a>01954 <span class="comment">// unsigned long cubicSoln(dataType a,dataType b,dataType c,dataType d,std::complex&lt;dataType&gt;&amp; root1,std::complex&lt;dataType&gt;&amp; root2,std::complex&lt;dataType&gt;&amp; root3)</span>
    2054. 

  2054. <a name="l01955"></a>01955 <span class="comment">// {</span>
    2055. 

  2055. <a name="l01956"></a>01956 <span class="comment">//      std::complex&lt;dataType&gt; A(a,0.0);</span>
    2056. 

  2056. <a name="l01957"></a>01957 <span class="comment">//      std::complex&lt;dataType&gt; B(b,0.0);</span>
    2057. 

  2057. <a name="l01958"></a>01958 <span class="comment">//      std::complex&lt;dataType&gt; C(c,0.0);</span>
    2058. 

  2058. <a name="l01959"></a>01959 <span class="comment">//      std::complex&lt;dataType&gt; D(d,0.0);</span>
    2059. 

  2059. <a name="l01960"></a>01960 <span class="comment">// </span>
    2060. 

  2060. <a name="l01961"></a>01961 <span class="comment">//      dataType p=(3.0*a*c-b*b)/(3.0*a*a);</span>
    2061. 

  2061. <a name="l01962"></a>01962 <span class="comment">//      dataType q=(2.0*b*b*b-9.0*a*b*c+27.0*a*a*d)/(27.0*a*a*a);</span>
    2062. 

  2062. <a name="l01963"></a>01963 <span class="comment">// </span>
    2063. 

  2063. <a name="l01964"></a>01964 <span class="comment">// //   std::complex&lt;dataType&gt; innerSqrt=sqrt(pow(2.0*B*B*B-9.0*A*B*C+27.0*A*A*D,2.0)-4.0*pow(B*B-3.0*A*C,3.0));</span>
    2064. 

  2064. <a name="l01965"></a>01965 <span class="comment">// //   std::complex&lt;dataType&gt; innerTerm=2.0*B*B*B-9.0*A*B*C+27.0*A*A*D;</span>
    2065. 

  2065. <a name="l01966"></a>01966 <span class="comment">// //   root1=-(B/(3.0*A))</span>
    2066. 

  2066. <a name="l01967"></a>01967 <span class="comment">// //                   -(1.0/(3.0*A))*pow(0.5*(innerTerm+innerSqrt),1.0/3.0)</span>
    2067. 

  2067. <a name="l01968"></a>01968 <span class="comment">// //                   -(1.0/(3.0*A))*pow(0.5*(innerTerm-innerSqrt),1.0/3.0);</span>
    2068. 

  2068. <a name="l01969"></a>01969 <span class="comment">// //   root2=-(B/(3.0*A))</span>
    2069. 

  2069. <a name="l01970"></a>01970 <span class="comment">// //                   +(std::complex&lt;dataType&gt;(1.0,sqrt(3.0))/(6.0*A))*pow(0.5*(innerTerm+innerSqrt),1.0/3.0)</span>
    2070. 

  2070. <a name="l01971"></a>01971 <span class="comment">// //                   +(std::complex&lt;dataType&gt;(1.0,-sqrt(3.0))/(6.0*A))*pow(0.5*(innerTerm-innerSqrt),1.0/3.0);</span>
    2071. 

  2071. <a name="l01972"></a>01972 <span class="comment">// //   root3=-(B/(3.0*A))</span>
    2072. 

  2072. <a name="l01973"></a>01973 <span class="comment">// //                   +(std::complex&lt;dataType&gt;(1.0,-sqrt(3.0))/(6.0*A))*pow(0.5*(innerTerm+innerSqrt),1.0/3.0)</span>
    2073. 

  2073. <a name="l01974"></a>01974 <span class="comment">// //                   +(std::complex&lt;dataType&gt;(1.0,sqrt(3.0))/(6.0*A))*pow(0.5*(innerTerm-innerSqrt),1.0/3.0);</span>
    2074. 

  2074. <a name="l01975"></a>01975 <span class="comment">// // </span>
    2075. 

  2075. <a name="l01976"></a>01976 <span class="comment">// //   unsigned long cnt=0.0;</span>
    2076. 

  2076. <a name="l01977"></a>01977 <span class="comment">// //   if(root1.imag()==0.0)</span>
    2077. 

  2077. <a name="l01978"></a>01978 <span class="comment">// //           cnt++;</span>
    2078. 

  2078. <a name="l01979"></a>01979 <span class="comment">// //   if(root2.imag()==0.0)</span>
    2079. 

  2079. <a name="l01980"></a>01980 <span class="comment">// //           cnt++;</span>
    2080. 

  2080. <a name="l01981"></a>01981 <span class="comment">// //   if(root3.imag()==0.0)</span>
    2081. 

  2081. <a name="l01982"></a>01982 <span class="comment">// //           cnt++;</span>
    2082. 

  2082. <a name="l01983"></a>01983 <span class="comment">// </span>
    2083. 

  2083. <a name="l01984"></a>01984 <span class="comment">//      return cnt;</span>
    2084. 

  2084. <a name="l01985"></a>01985 <span class="comment">// }</span>
    2085. 

  2085. <a name="l01986"></a>01986 
    2086. 

  2086. <a name="l01987"></a>01987 <span class="comment">// this is the class that given a polygon it will produce a smooth curve</span>
    2087. 

  2087. <a name="l01988"></a>01988 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    2088. 

  2088. <a name="l01989"></a><a class="code" href="classcurve__polygon.html">01989</a> <span class="keyword">class </span><a class="code" href="classcurve__polygon.html">curve_polygon</a> : <span class="keyword">public</span> <a class="code" href="classcurve.html">curve</a>&lt;dataType&gt;
    2089. 

  2089. <a name="l01990"></a>01990 {
    2090. 

  2090. <a name="l01991"></a>01991         <span class="keyword">private</span>:
    2091. 

  2091. <a name="l01992"></a>01992 
    2092. 

  2092. <a name="l01993"></a>01993                 std::vector&lt;dataType&gt; sPoints;
    2093. 

  2093. <a name="l01994"></a>01994                 std::vector&lt;matrixRdWtStatic_Data&lt;dataType,4,2&gt; &gt; cubics;
    2094. 

  2094. <a name="l01995"></a>01995 
    2095. 

  2095. <a name="l01996"></a>01996                 <span class="keywordtype">void</span> setVertices(<span class="keyword">const</span> <a class="code" href="classpolygon.html">polygon&lt;dataType&gt;</a>&amp; poly)
    2096. 

  2096. <a name="l01997"></a>01997                 {
    2097. 

  2097. <a name="l01998"></a>01998                         <span class="comment">// create</span>
    2098. 

  2098. <a name="l01999"></a>01999                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz=poly.<a class="code" href="classpolygon.html#aefd94b1ac2266272b090260ead926d5e">size</a>();
    2099. 

  2099. <a name="l02000"></a>02000 
    2100. 

  2100. <a name="l02001"></a>02001                         <span class="comment">// First generate the set of s points</span>
    2101. 

  2101. <a name="l02002"></a>02002                         sPoints.resize(sz);
    2102. 

  2102. <a name="l02003"></a>02003                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;sz;i++)
    2103. 

  2103. <a name="l02004"></a>02004                         {
    2104. 

  2104. <a name="l02005"></a>02005                                 <span class="keywordflow">if</span>(i!=0)
    2105. 

  2105. <a name="l02006"></a>02006                                         sPoints[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=sPoints[i-1];
    2106. 

  2106. <a name="l02007"></a>02007                                 <span class="keywordflow">else</span>
    2107. 

  2107. <a name="l02008"></a>02008                                         sPoints[0]=0.0;
    2108. 

  2108. <a name="l02009"></a>02009                                 sPoints[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]+=(poly.<a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>((i+1)%sz)-poly.<a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>(i%sz)).<a class="code" href="rotationMath_8cpp.html#a5c585f7f82a9507ad212639d44663ac2">length</a>();
    2109. 

  2109. <a name="l02010"></a>02010                         }
    2110. 

  2110. <a name="l02011"></a>02011                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> S=sPoints[sz-1];
    2111. 

  2111. <a name="l02012"></a>02012                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=sz-1;i&gt;0;i--)
    2112. 

  2112. <a name="l02013"></a>02013                                 sPoints[i]=sPoints[i-1]/S;
    2113. 

  2113. <a name="l02014"></a>02014                         sPoints[0]=0.0;
    2114. 

  2114. <a name="l02015"></a>02015 
    2115. 

  2115. <a name="l02016"></a>02016                         <span class="comment">// This is the set of coefficients for quadratics</span>
    2116. 

  2116. <a name="l02017"></a>02017                         std::vector&lt;matrixRdWtStatic_Data&lt;dataType,3,2&gt; &gt; quads(sz+1);
    2117. 

  2117. <a name="l02018"></a>02018                         <a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,3,2&gt;</a> source;
    2118. 

  2118. <a name="l02019"></a>02019                         <a class="code" href="classmatrixRdWtStaticSqr__Data.html">matrixRdWtStaticSqr_Data&lt;dataType,3&gt;</a> sValues;
    2119. 

  2119. <a name="l02020"></a>02020                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;=sz;i++)
    2120. 

  2120. <a name="l02021"></a>02021                         {
    2121. 

  2121. <a name="l02022"></a>02022                                 <span class="keywordflow">if</span>(i==0)
    2122. 

  2122. <a name="l02023"></a>02023                                 {
    2123. 

  2123. <a name="l02024"></a>02024                                         <span class="comment">// i-1</span>
    2124. 

  2124. <a name="l02025"></a>02025                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,0)=1.0;
    2125. 

  2125. <a name="l02026"></a>02026                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,1)=sPoints[((i+sz)-1)%sz]-1.0;
    2126. 

  2126. <a name="l02027"></a>02027                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,2)=pow(sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,1),2.0);
    2127. 

  2127. <a name="l02028"></a>02028                                         source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)=poly.<a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>(sz-1).x;
    2128. 

  2128. <a name="l02029"></a>02029                                         source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1)=poly.<a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>(sz-1).y;
    2129. 

  2129. <a name="l02030"></a>02030                                         <span class="comment">// i</span>
    2130. 

  2130. <a name="l02031"></a>02031                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,0)=1.0;
    2131. 

  2131. <a name="l02032"></a>02032                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,1)=0.0;
    2132. 

  2132. <a name="l02033"></a>02033                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,2)=0.0;
    2133. 

  2133. <a name="l02034"></a>02034                                         source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)=poly.<a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>(0).x;
    2134. 

  2134. <a name="l02035"></a>02035                                         source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)=poly.<a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>(0).y;
    2135. 

  2135. <a name="l02036"></a>02036                                         <span class="comment">// i+1</span>
    2136. 

  2136. <a name="l02037"></a>02037                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,0)=1.0;
    2137. 

  2137. <a name="l02038"></a>02038                                 }
    2138. 

  2138. <a name="l02039"></a>02039                                 <span class="keywordflow">else</span>
    2139. 

  2139. <a name="l02040"></a>02040                                 {
    2140. 

  2140. <a name="l02041"></a>02041                                         <span class="comment">// i-1</span>
    2141. 

  2141. <a name="l02042"></a>02042                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,1)=sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,1);
    2142. 

  2142. <a name="l02043"></a>02043                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,2)=sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,2);
    2143. 

  2143. <a name="l02044"></a>02044                                         source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)=source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0);
    2144. 

  2144. <a name="l02045"></a>02045                                         source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1)=source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1);
    2145. 

  2145. <a name="l02046"></a>02046                                         <span class="comment">// i</span>
    2146. 

  2146. <a name="l02047"></a>02047                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,1)=sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,1);
    2147. 

  2147. <a name="l02048"></a>02048                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,2)=sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,2);
    2148. 

  2148. <a name="l02049"></a>02049                                         source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)=source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,0);
    2149. 

  2149. <a name="l02050"></a>02050                                         source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)=source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1);
    2150. 

  2150. <a name="l02051"></a>02051                                 }
    2151. 

  2151. <a name="l02052"></a>02052                                 <span class="comment">// i+1</span>
    2152. 

  2152. <a name="l02053"></a>02053                                 <span class="keywordflow">if</span>(i==(sz-1))
    2153. 

  2153. <a name="l02054"></a>02054                                 {
    2154. 

  2154. <a name="l02055"></a>02055                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,1)=1.0;
    2155. 

  2155. <a name="l02056"></a>02056                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,2)=1.0;
    2156. 

  2156. <a name="l02057"></a>02057                                 }
    2157. 

  2157. <a name="l02058"></a>02058                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(i==sz)
    2158. 

  2158. <a name="l02059"></a>02059                                 {
    2159. 

  2159. <a name="l02060"></a>02060                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,1)=1.0+sPoints[1];
    2160. 

  2160. <a name="l02061"></a>02061                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,2)=pow(sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,1),2.0);
    2161. 

  2161. <a name="l02062"></a>02062                                 }
    2162. 

  2162. <a name="l02063"></a>02063                                 <span class="keywordflow">else</span>
    2163. 

  2163. <a name="l02064"></a>02064                                 {
    2164. 

  2164. <a name="l02065"></a>02065                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,1)=sPoints[i+1];
    2165. 

  2165. <a name="l02066"></a>02066                                         sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,2)=pow(sValues.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,1),2.0);
    2166. 

  2166. <a name="l02067"></a>02067                                 }
    2167. 

  2167. <a name="l02068"></a>02068                                 source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,0)=poly.<a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>((i+1)%sz).x;
    2168. 

  2168. <a name="l02069"></a>02069                                 source.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1)=poly.<a class="code" href="classpolygon.html#afacfb555417d495769e88a176755c528">getPoint</a>((i+1)%sz).y;
    2169. 

  2169. <a name="l02070"></a>02070 
    2170. 

  2170. <a name="l02071"></a>02071                                 quads[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=sValues.<a class="code" href="classmatrixSqr.html#a991ebad568b11587f75c85cc3b8da408">inverse</a>()*source;
    2171. 

  2171. <a name="l02072"></a>02072                         }
    2172. 

  2172. <a name="l02073"></a>02073 
    2173. 

  2173. <a name="l02074"></a>02074                         <span class="comment">// now we create the cubics</span>
    2174. 

  2174. <a name="l02075"></a>02075                         cubics.resize(sz);
    2175. 

  2175. <a name="l02076"></a>02076                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;sz;i++)
    2176. 

  2176. <a name="l02077"></a>02077                         {
    2177. 

  2177. <a name="l02078"></a>02078                                 <a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,4,3&gt;</a> Map_1;
    2178. 

  2178. <a name="l02079"></a>02079                                 <a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,4,3&gt;</a> Map_2;
    2179. 

  2179. <a name="l02080"></a>02080                                 <span class="keywordflow">if</span>(i==0)
    2180. 

  2180. <a name="l02081"></a>02081                                 {
    2181. 

  2181. <a name="l02082"></a>02082                                         Map_1=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,4,3&gt;</a>();
    2182. 

  2182. <a name="l02083"></a>02083                                         Map_2=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,4,3&gt;</a>();
    2183. 

  2183. <a name="l02084"></a>02084                                         Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)=-1.0;
    2184. 

  2184. <a name="l02085"></a>02085                                         Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1)=-1.0;
    2185. 

  2185. <a name="l02086"></a>02086                                         Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3,2)=-1.0;
    2186. 

  2186. <a name="l02087"></a>02087                                         Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)=1.0;
    2187. 

  2187. <a name="l02088"></a>02088                                         Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1)=1.0;
    2188. 

  2188. <a name="l02089"></a>02089                                         Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3,2)=1.0;
    2189. 

  2189. <a name="l02090"></a>02090                                         Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)=0.0;
    2190. 

  2190. <a name="l02091"></a>02091                                         Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)=0.0;
    2191. 

  2191. <a name="l02092"></a>02092                                         Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,2)=0.0;
    2192. 

  2192. <a name="l02093"></a>02093                                 }
    2193. 

  2193. <a name="l02094"></a>02094                                 <span class="keywordflow">else</span>
    2194. 

  2194. <a name="l02095"></a>02095                                 {
    2195. 

  2195. <a name="l02096"></a>02096                                         Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)=-Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0);
    2196. 

  2196. <a name="l02097"></a>02097                                         Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)=-Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1);
    2197. 

  2197. <a name="l02098"></a>02098                                         Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,2)=-Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,2);
    2198. 

  2198. <a name="l02099"></a>02099                                 }
    2199. 

  2199. <a name="l02100"></a>02100                                 <span class="keywordflow">if</span>(i==(sz-1))
    2200. 

  2200. <a name="l02101"></a>02101                                 {
    2201. 

  2201. <a name="l02102"></a>02102                                         Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)=1.0;
    2202. 

  2202. <a name="l02103"></a>02103                                         Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)=1.0;
    2203. 

  2203. <a name="l02104"></a>02104                                         Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,2)=1.0;
    2204. 

  2204. <a name="l02105"></a>02105                                 }
    2205. 

  2205. <a name="l02106"></a>02106                                 <span class="keywordflow">else</span>
    2206. 

  2206. <a name="l02107"></a>02107                                 {
    2207. 

  2207. <a name="l02108"></a>02108                                         Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)=sPoints[i+1];
    2208. 

  2208. <a name="l02109"></a>02109                                         Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)=sPoints[i+1];
    2209. 

  2209. <a name="l02110"></a>02110                                         Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,2)=sPoints[i+1];
    2210. 

  2210. <a name="l02111"></a>02111                                 }
    2211. 

  2211. <a name="l02112"></a>02112                                 cubics[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=(1.0/(Map_1.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)+Map_2.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)))*(Map_1*quads[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]+Map_2*quads[i+1]);
    2212. 

  2212. <a name="l02113"></a>02113                         }
    2213. 

  2213. <a name="l02114"></a>02114                 }
    2214. 

  2214. <a name="l02115"></a>02115 
    2215. 

  2215. <a name="l02116"></a>02116                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> getAt(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; s)<span class="keyword"> const</span>
    2216. 

  2216. <a name="l02117"></a>02117 <span class="keyword">                </span>{
    2217. 

  2217. <a name="l02118"></a>02118                         s=s-floor(s);
    2218. 

  2218. <a name="l02119"></a>02119                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at=0;
    2219. 

  2219. <a name="l02120"></a>02120                         <span class="keywordflow">while</span>(at&lt;(sPoints.size()-1) &amp;&amp; s&gt;sPoints[at+1])
    2220. 

  2220. <a name="l02121"></a>02121                                 at++;
    2221. 

  2221. <a name="l02122"></a>02122                         <span class="keywordflow">return</span> at;
    2222. 

  2222. <a name="l02123"></a>02123                 }
    2223. 

  2223. <a name="l02124"></a>02124 
    2224. 

  2224. <a name="l02125"></a>02125                 <span class="keywordtype">void</span> position(<span class="keyword">const</span> <a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,4,2&gt;</a>&amp; cube,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atS,<a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a>&amp; pnt)<span class="keyword"> const</span>
    2225. 

  2225. <a name="l02126"></a>02126 <span class="keyword">                </span>{
    2226. 

  2226. <a name="l02127"></a>02127                         <span class="comment">// solve the position</span>
    2227. 

  2227. <a name="l02128"></a>02128                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,4&gt;</a> sLocs=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,1,4&gt;</a>();
    2228. 

  2228. <a name="l02129"></a>02129                         sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(0)=1.0;
    2229. 

  2229. <a name="l02130"></a>02130                         sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(1)=atS;
    2230. 

  2230. <a name="l02131"></a>02131                         sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(2)=sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(1)*sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(1);
    2231. 

  2231. <a name="l02132"></a>02132                         sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(3)=sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(2)*sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(1);
    2232. 

  2232. <a name="l02133"></a>02133                         pnt=sLocs*cube;
    2233. 

  2233. <a name="l02134"></a>02134                 }
    2234. 

  2234. <a name="l02135"></a>02135 
    2235. 

  2235. <a name="l02136"></a>02136                 <span class="keywordtype">void</span> gradient(<span class="keyword">const</span> <a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,4,2&gt;</a>&amp; cube,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atS,<a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a>&amp; pnt)<span class="keyword"> const</span>
    2236. 

  2236. <a name="l02137"></a>02137 <span class="keyword">                </span>{
    2237. 

  2237. <a name="l02138"></a>02138                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,3&gt;</a> sLocs=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,1,3&gt;</a>();
    2238. 

  2238. <a name="l02139"></a>02139                         <a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,3,4&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,3,4&gt;</a>();
    2239. 

  2239. <a name="l02140"></a>02140                         grad.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1)=1.0;
    2240. 

  2240. <a name="l02141"></a>02141                         grad.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,2)=2.0;
    2241. 

  2241. <a name="l02142"></a>02142                         grad.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,3)=3.0;
    2242. 

  2242. <a name="l02143"></a>02143                         sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(0)=1.0;
    2243. 

  2243. <a name="l02144"></a>02144                         sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(1)=atS;
    2244. 

  2244. <a name="l02145"></a>02145                         sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(2)=sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(1)*sLocs.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(1);
    2245. 

  2245. <a name="l02146"></a>02146                         pnt=sLocs*grad*cube;
    2246. 

  2246. <a name="l02147"></a>02147                 }
    2247. 

  2247. <a name="l02148"></a>02148 
    2248. 

  2248. <a name="l02149"></a>02149                 <span class="keyword">struct </span>iPoint
    2249. 

  2249. <a name="l02150"></a>02150                 {
    2250. 

  2250. <a name="l02151"></a>02151                         <span class="keyword">public</span>:
    2251. 

  2251. <a name="l02152"></a>02152 
    2252. 

  2252. <a name="l02153"></a>02153                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s;
    2253. 

  2253. <a name="l02154"></a>02154                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> w;
    2254. 

  2254. <a name="l02155"></a>02155                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt;
    2255. 

  2255. <a name="l02156"></a>02156                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    2256. 

  2256. <a name="l02157"></a>02157 
    2257. 

  2257. <a name="l02158"></a>02158                                 iPoint(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s_in=0.0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> w_in=0.0) : s(s_in) , w(w_in)
    2258. 

  2258. <a name="l02159"></a>02159                                 {}
    2259. 

  2259. <a name="l02160"></a>02160                 };
    2260. 

  2260. <a name="l02161"></a>02161 
    2261. 

  2261. <a name="l02162"></a>02162                 <span class="keywordtype">void</span> sRange(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; sLow,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; sHigh)<span class="keyword"> const</span>
    2262. 

  2262. <a name="l02163"></a>02163 <span class="keyword">                </span>{
    2263. 

  2263. <a name="l02164"></a>02164                         sLow=sPoints[at];
    2264. 

  2264. <a name="l02165"></a>02165                         <span class="keywordflow">if</span>(at&lt;(sPoints.size()-1))
    2265. 

  2265. <a name="l02166"></a>02166                                 sHigh=sPoints[at+1];
    2266. 

  2266. <a name="l02167"></a>02167                         <span class="keywordflow">else</span>
    2267. 

  2267. <a name="l02168"></a>02168                                 sHigh=1.0;
    2268. 

  2268. <a name="l02169"></a>02169                 }
    2269. 

  2269. <a name="l02170"></a>02170 
    2270. 

  2270. <a name="l02171"></a>02171                 <span class="keywordtype">void</span> solveCubic(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh,<span class="keyword">const</span> <a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,4,2&gt;</a>&amp; cube,std::list&lt;iPoint&gt;&amp; iPnts)<span class="keyword"> const</span>
    2271. 

  2271. <a name="l02172"></a>02172 <span class="keyword">                </span>{
    2272. 

  2272. <a name="l02173"></a>02173 
    2273. 

  2273. <a name="l02174"></a>02174                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; a=cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3,1);
    2274. 

  2274. <a name="l02175"></a>02175                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; b=cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1);
    2275. 

  2275. <a name="l02176"></a>02176                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; c=cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1);
    2276. 

  2276. <a name="l02177"></a>02177                         <span class="keyword">const</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; d=cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1);
    2277. 

  2277. <a name="l02178"></a>02178                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> p=(3.0*a*c-b*b)/(3.0*a*a);
    2278. 

  2278. <a name="l02179"></a>02179                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> q=(2.0*b*b*b-9.0*a*b*c+27.0*a*a*d)/(27.0*a*a*a);
    2279. 

  2279. <a name="l02180"></a>02180                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> desc=-4.0*p*p*p-27.0*q*q;
    2280. 

  2280. <a name="l02181"></a>02181 
    2281. 

  2281. <a name="l02182"></a>02182                         <span class="keywordflow">if</span>(desc&gt;=0.0)
    2282. 

  2282. <a name="l02183"></a>02183                         {
    2283. 

  2283. <a name="l02184"></a>02184                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt;
    2284. 

  2284. <a name="l02185"></a>02185 
    2285. 

  2285. <a name="l02186"></a>02186                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> theta=(1.0/3.0)*<a class="code" href="ComplexMathExt_8cpp.html#aa3da7a96d23cd4396c5fbf21898194a0">acos</a>(3.0*q*sqrt(-3.0/p)/(2.0*p));
    2286. 

  2286. <a name="l02187"></a>02187 
    2287. 

  2287. <a name="l02188"></a>02188                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t1=2.0*sqrt(-p/3.0)*cos(theta);
    2288. 

  2288. <a name="l02189"></a>02189                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s1=t1-b/(3.0*a);
    2289. 

  2289. <a name="l02190"></a>02190                                 <span class="keywordflow">if</span>(sLow&lt;=s1 &amp;&amp; s1&lt;=sHigh)
    2290. 

  2290. <a name="l02191"></a>02191                                 {
    2291. 

  2291. <a name="l02192"></a>02192                                         position(cube,s1,pnt);
    2292. 

  2292. <a name="l02193"></a>02193                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> &amp;x=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    2293. 

  2293. <a name="l02194"></a>02194                                         <span class="keywordflow">if</span>(0.0&lt;=x &amp;&amp; x&lt;=1.0)
    2294. 

  2294. <a name="l02195"></a>02195                                         {
    2295. 

  2295. <a name="l02196"></a>02196                                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    2296. 

  2296. <a name="l02197"></a>02197                                                 gradient(cube,s1,grad);
    2297. 

  2297. <a name="l02198"></a>02198                                                 iPnts.push_back(iPoint(s1,fabs(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1))/sqrt(pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),2.0)+pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),2.0))));
    2298. 

  2298. <a name="l02199"></a>02199                                         }
    2299. 

  2299. <a name="l02200"></a>02200                                 }
    2300. 

  2300. <a name="l02201"></a>02201 
    2301. 

  2301. <a name="l02202"></a>02202                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t2=2.0*sqrt(-p/3.0)*cos(theta-2.0*<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>/3.0);
    2302. 

  2302. <a name="l02203"></a>02203                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s2=t2-b/(3.0*a);
    2303. 

  2303. <a name="l02204"></a>02204                                 <span class="keywordflow">if</span>(sLow&lt;=s2 &amp;&amp; s2&lt;=sHigh)
    2304. 

  2304. <a name="l02205"></a>02205                                 {
    2305. 

  2305. <a name="l02206"></a>02206                                         position(cube,s2,pnt);
    2306. 

  2306. <a name="l02207"></a>02207                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> &amp;x=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    2307. 

  2307. <a name="l02208"></a>02208                                         <span class="keywordflow">if</span>(0.0&lt;=x &amp;&amp; x&lt;=1.0)
    2308. 

  2308. <a name="l02209"></a>02209                                         {
    2309. 

  2309. <a name="l02210"></a>02210                                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    2310. 

  2310. <a name="l02211"></a>02211                                                 gradient(cube,s2,grad);
    2311. 

  2311. <a name="l02212"></a>02212                                                 iPnts.push_back(iPoint(s2,fabs(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1))/sqrt(pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),2.0)+pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),2.0))));
    2312. 

  2312. <a name="l02213"></a>02213                                         }
    2313. 

  2313. <a name="l02214"></a>02214                                 }
    2314. 

  2314. <a name="l02215"></a>02215 
    2315. 

  2315. <a name="l02216"></a>02216                                 <span class="keywordflow">if</span>(theta!=0.0)
    2316. 

  2316. <a name="l02217"></a>02217                                 {
    2317. 

  2317. <a name="l02218"></a>02218                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t3=2.0*sqrt(-p/3.0)*cos(theta-4.0*<a class="code" href="meshSudo_8cpp.html#a43016d873124d39034edb8cd164794db">pi</a>/3.0);
    2318. 

  2318. <a name="l02219"></a>02219                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s3=t3-b/(3.0*a);
    2319. 

  2319. <a name="l02220"></a>02220                                         <span class="keywordflow">if</span>(sLow&lt;=s3 &amp;&amp; s3&lt;=sHigh)
    2320. 

  2320. <a name="l02221"></a>02221                                         {
    2321. 

  2321. <a name="l02222"></a>02222                                                 position(cube,s3,pnt);
    2322. 

  2322. <a name="l02223"></a>02223                                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> &amp;x=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    2323. 

  2323. <a name="l02224"></a>02224                                                 <span class="keywordflow">if</span>(0.0&lt;=x &amp;&amp; x&lt;=1.0)
    2324. 

  2324. <a name="l02225"></a>02225                                                 {
    2325. 

  2325. <a name="l02226"></a>02226                                                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    2326. 

  2326. <a name="l02227"></a>02227                                                         gradient(cube,s3,grad);
    2327. 

  2327. <a name="l02228"></a>02228                                                         iPnts.push_back(iPoint(s3,fabs(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1))/sqrt(pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),2.0)+pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),2.0))));
    2328. 

  2328. <a name="l02229"></a>02229                                                 }
    2329. 

  2329. <a name="l02230"></a>02230                                         }
    2330. 

  2330. <a name="l02231"></a>02231                                 }
    2331. 

  2331. <a name="l02232"></a>02232                         }
    2332. 

  2332. <a name="l02233"></a>02233                         <span class="keywordflow">else</span>
    2333. 

  2333. <a name="l02234"></a>02234                         {
    2334. 

  2334. <a name="l02235"></a>02235                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt;
    2335. 

  2335. <a name="l02236"></a>02236 
    2336. 

  2336. <a name="l02237"></a>02237                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> quadDesc=q*q/4.0+p*p*p/27.0;
    2337. 

  2337. <a name="l02238"></a>02238                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> cube1=-q/2.0+sqrt(quadDesc);
    2338. 

  2338. <a name="l02239"></a>02239                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> cube2=-q/2.0-sqrt(quadDesc);
    2339. 

  2339. <a name="l02240"></a>02240                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> root1;
    2340. 

  2340. <a name="l02241"></a>02241                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> root2;
    2341. 

  2341. <a name="l02242"></a>02242                                 <span class="keywordflow">if</span>(cube1&lt;0.0)
    2342. 

  2342. <a name="l02243"></a>02243                                         root1=-1.0*pow(-1.0*cube1,1.0/3.0);
    2343. 

  2343. <a name="l02244"></a>02244                                 <span class="keywordflow">else</span>
    2344. 

  2344. <a name="l02245"></a>02245                                         root1=pow(cube1,1.0/3.0);
    2345. 

  2345. <a name="l02246"></a>02246                                 <span class="keywordflow">if</span>(cube2&lt;0.0)
    2346. 

  2346. <a name="l02247"></a>02247                                         root2=-1.0*pow(-1.0*cube2,1.0/3.0);
    2347. 

  2347. <a name="l02248"></a>02248                                 <span class="keywordflow">else</span>
    2348. 

  2348. <a name="l02249"></a>02249                                         root2=pow(cube2,1.0/3.0);
    2349. 

  2349. <a name="l02250"></a>02250                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> t=root1+root2;
    2350. 

  2350. <a name="l02251"></a>02251                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s=t-b/(3.0*a);
    2351. 

  2351. <a name="l02252"></a>02252                                 <span class="keywordflow">if</span>(sLow&lt;=s &amp;&amp; s&lt;=sHigh)
    2352. 

  2352. <a name="l02253"></a>02253                                 {
    2353. 

  2353. <a name="l02254"></a>02254                                         position(cube,s,pnt);
    2354. 

  2354. <a name="l02255"></a>02255                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> &amp;x=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    2355. 

  2355. <a name="l02256"></a>02256                                         <span class="keywordflow">if</span>(0.0&lt;=x &amp;&amp; x&lt;=1.0)
    2356. 

  2356. <a name="l02257"></a>02257                                         {
    2357. 

  2357. <a name="l02258"></a>02258                                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    2358. 

  2358. <a name="l02259"></a>02259                                                 gradient(cube,s,grad);
    2359. 

  2359. <a name="l02260"></a>02260                                                 iPnts.push_back(iPoint(s,fabs(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1))/sqrt(pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),2.0)+pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),2.0))));
    2360. 

  2360. <a name="l02261"></a>02261                                         }
    2361. 

  2361. <a name="l02262"></a>02262                                 }
    2362. 

  2362. <a name="l02263"></a>02263                         }
    2363. 

  2363. <a name="l02264"></a>02264 
    2364. 

  2364. <a name="l02265"></a>02265                         <span class="comment">// This is an old version that relies on numerical methods</span>
    2365. 

  2365. <a name="l02266"></a>02266 <span class="comment">//                      // First lets retrieve all the critical points and let that guide us to determine if it is worth solving the roots</span>
    2366. 

  2366. <a name="l02267"></a>02267 <span class="comment">//                      dataType descY=pow(2.0*cube.entry(2,1),2.0)-12.0*cube.entry(3,1)*cube.entry(1,1);</span>
    2367. 

  2367. <a name="l02268"></a>02268 <span class="comment">// </span>
    2368. 

  2368. <a name="l02269"></a>02269 <span class="comment">//                      // this will get all the critical points for the x equation</span>
    2369. 

  2369. <a name="l02270"></a>02270 <span class="comment">//                      std::list&lt;dataType&gt; critX;</span>
    2370. 

  2370. <a name="l02271"></a>02271 <span class="comment">//                      critX.push_back(sLow);</span>
    2371. 

  2371. <a name="l02272"></a>02272 <span class="comment">//                      if(cube.entry(3,0)!=0.0)</span>
    2372. 

  2372. <a name="l02273"></a>02273 <span class="comment">//                      {</span>
    2373. 

  2373. <a name="l02274"></a>02274 <span class="comment">//                              dataType descX=pow(2.0*cube.entry(2,0),2.0)-12.0*cube.entry(3,0)*cube.entry(1,0);</span>
    2374. 

  2374. <a name="l02275"></a>02275 <span class="comment">//                              if(descX&gt;0.0)</span>
    2375. 

  2375. <a name="l02276"></a>02276 <span class="comment">//                              {</span>
    2376. 

  2376. <a name="l02277"></a>02277 <span class="comment">//                                      // there is a potential for multiple solutions !!!</span>
    2377. 

  2377. <a name="l02278"></a>02278 <span class="comment">//                                      dataType crit1X=(-2.0*cube.entry(2,0)-sqrt(descX))/(6.0*cube.entry(3,0));</span>
    2378. 

  2378. <a name="l02279"></a>02279 <span class="comment">//                                      dataType crit2X=(-2.0*cube.entry(2,0)+sqrt(descX))/(6.0*cube.entry(3,0));</span>
    2379. 

  2379. <a name="l02280"></a>02280 <span class="comment">//                                      if(crit1X&gt;sLow &amp;&amp; crit1X&lt;sHigh)</span>
    2380. 

  2380. <a name="l02281"></a>02281 <span class="comment">//                                              critX.push_back(crit1X);</span>
    2381. 

  2381. <a name="l02282"></a>02282 <span class="comment">//                                      if(crit2X&gt;sLow &amp;&amp; crit2X&lt;sHigh)</span>
    2382. 

  2382. <a name="l02283"></a>02283 <span class="comment">//                                              critX.push_back(crit2X);</span>
    2383. 

  2383. <a name="l02284"></a>02284 <span class="comment">//                              }</span>
    2384. 

  2384. <a name="l02285"></a>02285 <span class="comment">//                      }</span>
    2385. 

  2385. <a name="l02286"></a>02286 <span class="comment">//                      else if(cube.entry(2,0)!=0.0)</span>
    2386. 

  2386. <a name="l02287"></a>02287 <span class="comment">//                      {</span>
    2387. 

  2387. <a name="l02288"></a>02288 <span class="comment">//                              dataType crit1X=-cube.entry(1,0)/(2.0*cube.entry(2,0));</span>
    2388. 

  2388. <a name="l02289"></a>02289 <span class="comment">//                              if(crit1X&gt;sLow &amp;&amp; crit1X&lt;sHigh)</span>
    2389. 

  2389. <a name="l02290"></a>02290 <span class="comment">//                                      critX.push_back(crit1X);</span>
    2390. 

  2390. <a name="l02291"></a>02291 <span class="comment">//                      }</span>
    2391. 

  2391. <a name="l02292"></a>02292 <span class="comment">//                      critX.push_back(sHigh);</span>
    2392. 

  2392. <a name="l02293"></a>02293 <span class="comment">// </span>
    2393. 

  2393. <a name="l02294"></a>02294 <span class="comment">//                      // this will get all the critical points for the y equation</span>
    2394. 

  2394. <a name="l02295"></a>02295 <span class="comment">//                      std::list&lt;dataType&gt; critY;</span>
    2395. 

  2395. <a name="l02296"></a>02296 <span class="comment">//                      critY.push_back(sLow);</span>
    2396. 

  2396. <a name="l02297"></a>02297 <span class="comment">//                      if(descY&gt;0.0)</span>
    2397. 

  2397. <a name="l02298"></a>02298 <span class="comment">//                      {</span>
    2398. 

  2398. <a name="l02299"></a>02299 <span class="comment">//                              // there is a potential for multiple solutions !!!</span>
    2399. 

  2399. <a name="l02300"></a>02300 <span class="comment">//                              dataType crit1Y=(-2.0*cube.entry(2,1)-sqrt(descY))/(6.0*cube.entry(3,1));</span>
    2400. 

  2400. <a name="l02301"></a>02301 <span class="comment">//                              dataType crit2Y=(-2.0*cube.entry(2,1)+sqrt(descY))/(6.0*cube.entry(3,1));</span>
    2401. 

  2401. <a name="l02302"></a>02302 <span class="comment">//                              if(crit1Y&gt;sLow &amp;&amp; crit1Y&lt;sHigh)</span>
    2402. 

  2402. <a name="l02303"></a>02303 <span class="comment">//                                      critY.push_back(crit1Y);</span>
    2403. 

  2403. <a name="l02304"></a>02304 <span class="comment">//                              if(crit2Y&gt;sLow &amp;&amp; crit2Y&lt;sHigh)</span>
    2404. 

  2404. <a name="l02305"></a>02305 <span class="comment">//                                      critY.push_back(crit2Y);</span>
    2405. 

  2405. <a name="l02306"></a>02306 <span class="comment">//                      }</span>
    2406. 

  2406. <a name="l02307"></a>02307 <span class="comment">//                      critY.push_back(sHigh);</span>
    2407. 

  2407. <a name="l02308"></a>02308 <span class="comment">// </span>
    2408. 

  2408. <a name="l02309"></a>02309 <span class="comment">//                      // this will merge all the critical points</span>
    2409. 

  2409. <a name="l02310"></a>02310 <span class="comment">//                      std::list&lt;dataType&gt; crit;</span>
    2410. 

  2410. <a name="l02311"></a>02311 <span class="comment">//                      typename std::list&lt;dataType&gt;::iterator itX=critX.begin();</span>
    2411. 

  2411. <a name="l02312"></a>02312 <span class="comment">//                      typename std::list&lt;dataType&gt;::iterator itY=critY.begin();</span>
    2412. 

  2412. <a name="l02313"></a>02313 <span class="comment">//                      while( itX!=critX.end() || itY!=critY.end())</span>
    2413. 

  2413. <a name="l02314"></a>02314 <span class="comment">//                      {</span>
    2414. 

  2414. <a name="l02315"></a>02315 <span class="comment">//                              if(itX!=critX.end() &amp;&amp; itY!=critY.end())</span>
    2415. 

  2415. <a name="l02316"></a>02316 <span class="comment">//                              {</span>
    2416. 

  2416. <a name="l02317"></a>02317 <span class="comment">//                                      if((*itX)&lt;(*itY))</span>
    2417. 

  2417. <a name="l02318"></a>02318 <span class="comment">//                                      {</span>
    2418. 

  2418. <a name="l02319"></a>02319 <span class="comment">//                                              crit.push_back(*itX);</span>
    2419. 

  2419. <a name="l02320"></a>02320 <span class="comment">//                                              itX++;</span>
    2420. 

  2420. <a name="l02321"></a>02321 <span class="comment">//                                      }</span>
    2421. 

  2421. <a name="l02322"></a>02322 <span class="comment">//                                      else if((*itX)&gt;(*itY))</span>
    2422. 

  2422. <a name="l02323"></a>02323 <span class="comment">//                                      {</span>
    2423. 

  2423. <a name="l02324"></a>02324 <span class="comment">//                                              crit.push_back(*itY);</span>
    2424. 

  2424. <a name="l02325"></a>02325 <span class="comment">//                                              itY++;</span>
    2425. 

  2425. <a name="l02326"></a>02326 <span class="comment">//                                      }</span>
    2426. 

  2426. <a name="l02327"></a>02327 <span class="comment">//                                      else</span>
    2427. 

  2427. <a name="l02328"></a>02328 <span class="comment">//                                      {</span>
    2428. 

  2428. <a name="l02329"></a>02329 <span class="comment">//                                              crit.push_back(*itY);</span>
    2429. 

  2429. <a name="l02330"></a>02330 <span class="comment">//                                              itX++;</span>
    2430. 

  2430. <a name="l02331"></a>02331 <span class="comment">//                                              itY++;</span>
    2431. 

  2431. <a name="l02332"></a>02332 <span class="comment">//                                      }</span>
    2432. 

  2432. <a name="l02333"></a>02333 <span class="comment">//                              }</span>
    2433. 

  2433. <a name="l02334"></a>02334 <span class="comment">//                              else if(itX!=critX.end())</span>
    2434. 

  2434. <a name="l02335"></a>02335 <span class="comment">//                              {</span>
    2435. 

  2435. <a name="l02336"></a>02336 <span class="comment">//                                      crit.push_back(*itX);</span>
    2436. 

  2436. <a name="l02337"></a>02337 <span class="comment">//                                      itX++;</span>
    2437. 

  2437. <a name="l02338"></a>02338 <span class="comment">//                              }</span>
    2438. 

  2438. <a name="l02339"></a>02339 <span class="comment">//                              else</span>
    2439. 

  2439. <a name="l02340"></a>02340 <span class="comment">//                              {</span>
    2440. 

  2440. <a name="l02341"></a>02341 <span class="comment">//                                      crit.push_back(*itY);</span>
    2441. 

  2441. <a name="l02342"></a>02342 <span class="comment">//                                      itY++;</span>
    2442. 

  2442. <a name="l02343"></a>02343 <span class="comment">//                              }</span>
    2443. 

  2443. <a name="l02344"></a>02344 <span class="comment">//                      }</span>
    2444. 

  2444. <a name="l02345"></a>02345 <span class="comment">// </span>
    2445. 

  2445. <a name="l02346"></a>02346 <span class="comment">//                      // now we solve the position at all the critical points</span>
    2446. 

  2446. <a name="l02347"></a>02347 <span class="comment">//                      std::vector&lt;matrixRdWtStaticVectRow_Data&lt;dataType,2&gt; &gt; critPoints(crit.size());</span>
    2447. 

  2447. <a name="l02348"></a>02348 <span class="comment">//                      std::vector&lt;dataType&gt; sCrit(crit.size());</span>
    2448. 

  2448. <a name="l02349"></a>02349 <span class="comment">//                      unsigned long i=0;</span>
    2449. 

  2449. <a name="l02350"></a>02350 <span class="comment">//                      for(typename std::list&lt;dataType&gt;::iterator it=crit.begin();it!=crit.end();it++)</span>
    2450. 

  2450. <a name="l02351"></a>02351 <span class="comment">//                      {</span>
    2451. 

  2451. <a name="l02352"></a>02352 <span class="comment">//                              sCrit[i]=(*it);</span>
    2452. 

  2452. <a name="l02353"></a>02353 <span class="comment">//                              position(cube,sCrit[i],critPoints[i]);</span>
    2453. 

  2453. <a name="l02354"></a>02354 <span class="comment">//                              i++;</span>
    2454. 

  2454. <a name="l02355"></a>02355 <span class="comment">//                      }</span>
    2455. 

  2455. <a name="l02356"></a>02356 <span class="comment">// </span>
    2456. 

  2456. <a name="l02357"></a>02357 <span class="comment">//                      // Now we try to seek out an interval that is valid</span>
    2457. 

  2457. <a name="l02358"></a>02358 <span class="comment">//                      for(unsigned long i=0;i&lt;(sCrit.size()-1);i++)</span>
    2458. 

  2458. <a name="l02359"></a>02359 <span class="comment">//                      {</span>
    2459. 

  2459. <a name="l02360"></a>02360 <span class="comment">//                              if( !((critPoints[i].entry(0)&lt;0.0 &amp;&amp; critPoints[i+1].entry(0)&lt;0.0) || (critPoints[i].entry(0)&gt;1.0 &amp;&amp; critPoints[i+1].entry(0)&gt;1.0)) &amp;&amp; (critPoints[i].entry(1)*critPoints[i+1].entry(1)&lt;=0.0) )</span>
    2460. 

  2460. <a name="l02361"></a>02361 <span class="comment">//                              {</span>
    2461. 

  2461. <a name="l02362"></a>02362 <span class="comment">//                                      // this is a valid</span>
    2462. 

  2462. <a name="l02363"></a>02363 <span class="comment">// </span>
    2463. 

  2463. <a name="l02364"></a>02364 <span class="comment">//                                      // Now check the end points of the domain</span>
    2464. 

  2464. <a name="l02365"></a>02365 <span class="comment">//                                      if(critPoints[i].entry(1)==0.0)</span>
    2465. 

  2465. <a name="l02366"></a>02366 <span class="comment">//                                      {</span>
    2466. 

  2466. <a name="l02367"></a>02367 <span class="comment">//                                              if(critPoints[i].entry(0)&gt;=0.0 &amp;&amp; critPoints[i].entry(0)&lt;=1.0)</span>
    2467. 

  2467. <a name="l02368"></a>02368 <span class="comment">//                                              {</span>
    2468. 

  2468. <a name="l02369"></a>02369 <span class="comment">//                                                      matrixRdWtStaticVectRow_Data&lt;dataType,2&gt; grad;</span>
    2469. 

  2469. <a name="l02370"></a>02370 <span class="comment">//                                                      gradient(cube,sCrit[i],grad);</span>
    2470. 

  2470. <a name="l02371"></a>02371 <span class="comment">//                                                      iPnts.push_back(iPoint(sCrit[i],fabs(grad.entry(1))/sqrt(pow(grad.entry(0),2.0)+pow(grad.entry(1),2.0))));</span>
    2471. 

  2471. <a name="l02372"></a>02372 <span class="comment">//                                              }</span>
    2472. 

  2472. <a name="l02373"></a>02373 <span class="comment">//                                      }</span>
    2473. 

  2473. <a name="l02374"></a>02374 <span class="comment">//                                      else if(critPoints[i+1].entry(1)==0.0)</span>
    2474. 

  2474. <a name="l02375"></a>02375 <span class="comment">//                                      {</span>
    2475. 

  2475. <a name="l02376"></a>02376 <span class="comment">//                                              if(critPoints[i+1].entry(0)&gt;=0.0 &amp;&amp; critPoints[i+1].entry(0)&lt;=1.0)</span>
    2476. 

  2476. <a name="l02377"></a>02377 <span class="comment">//                                              {</span>
    2477. 

  2477. <a name="l02378"></a>02378 <span class="comment">//                                                      matrixRdWtStaticVectRow_Data&lt;dataType,2&gt; grad;</span>
    2478. 

  2478. <a name="l02379"></a>02379 <span class="comment">//                                                      gradient(cube,sCrit[i+1],grad);</span>
    2479. 

  2479. <a name="l02380"></a>02380 <span class="comment">//                                                      iPnts.push_back(iPoint(sCrit[i+1],fabs(grad.entry(1))/sqrt(pow(grad.entry(0),2.0)+pow(grad.entry(1),2.0))));</span>
    2480. 

  2480. <a name="l02381"></a>02381 <span class="comment">//                                              }</span>
    2481. 

  2481. <a name="l02382"></a>02382 <span class="comment">//                                              i++;</span>
    2482. 

  2482. <a name="l02383"></a>02383 <span class="comment">//                                      }</span>
    2483. 

  2483. <a name="l02384"></a>02384 <span class="comment">//                                      else</span>
    2484. 

  2484. <a name="l02385"></a>02385 <span class="comment">//                                      {</span>
    2485. 

  2485. <a name="l02386"></a>02386 <span class="comment">//                                              // numerically solve it to machine precision</span>
    2486. 

  2486. <a name="l02387"></a>02387 <span class="comment">//                                              dataType s0;</span>
    2487. 

  2487. <a name="l02388"></a>02388 <span class="comment">//                                              dataType s1;</span>
    2488. 

  2488. <a name="l02389"></a>02389 <span class="comment">//                                              dataType sTst;</span>
    2489. 

  2489. <a name="l02390"></a>02390 <span class="comment">// </span>
    2490. 

  2490. <a name="l02391"></a>02391 <span class="comment">//                                              if(critPoints[i].entry(1)&gt;critPoints[i+1].entry(1))</span>
    2491. 

  2491. <a name="l02392"></a>02392 <span class="comment">//                                              {</span>
    2492. 

  2492. <a name="l02393"></a>02393 <span class="comment">//                                                      s1=sCrit[i];</span>
    2493. 

  2493. <a name="l02394"></a>02394 <span class="comment">//                                                      s0=sCrit[i+1];</span>
    2494. 

  2494. <a name="l02395"></a>02395 <span class="comment">//                                              }</span>
    2495. 

  2495. <a name="l02396"></a>02396 <span class="comment">//                                              else</span>
    2496. 

  2496. <a name="l02397"></a>02397 <span class="comment">//                                              {</span>
    2497. 

  2497. <a name="l02398"></a>02398 <span class="comment">//                                                      s0=sCrit[i];</span>
    2498. 

  2498. <a name="l02399"></a>02399 <span class="comment">//                                                      s1=sCrit[i+1];</span>
    2499. 

  2499. <a name="l02400"></a>02400 <span class="comment">//                                              }</span>
    2500. 

  2500. <a name="l02401"></a>02401 <span class="comment">//                                              sTst=(s0+s1)/2.0;</span>
    2501. 

  2501. <a name="l02402"></a>02402 <span class="comment">// </span>
    2502. 

  2502. <a name="l02403"></a>02403 <span class="comment">//                                              dataType sVal=1.0;</span>
    2503. 

  2503. <a name="l02404"></a>02404 <span class="comment">//                                              while(sTst!=s0 &amp;&amp; sTst!=s1)</span>
    2504. 

  2504. <a name="l02405"></a>02405 <span class="comment">//                                              {</span>
    2505. 

  2505. <a name="l02406"></a>02406 <span class="comment">//                                                      sVal=cube.entry(3,1)*pow(sTst,3.0)+cube.entry(2,1)*pow(sTst,2.0)+cube.entry(1,1)*sTst+cube.entry(0,1);</span>
    2506. 

  2506. <a name="l02407"></a>02407 <span class="comment">//                                                      if(sVal&lt;0.0)</span>
    2507. 

  2507. <a name="l02408"></a>02408 <span class="comment">//                                                      {</span>
    2508. 

  2508. <a name="l02409"></a>02409 <span class="comment">//                                                              s0=sTst;</span>
    2509. 

  2509. <a name="l02410"></a>02410 <span class="comment">//                                                      }</span>
    2510. 

  2510. <a name="l02411"></a>02411 <span class="comment">//                                                      else if(sVal&gt;0.0)</span>
    2511. 

  2511. <a name="l02412"></a>02412 <span class="comment">//                                                      {</span>
    2512. 

  2512. <a name="l02413"></a>02413 <span class="comment">//                                                              s1=sTst;</span>
    2513. 

  2513. <a name="l02414"></a>02414 <span class="comment">//                                                      }</span>
    2514. 

  2514. <a name="l02415"></a>02415 <span class="comment">//                                                      else</span>
    2515. 

  2515. <a name="l02416"></a>02416 <span class="comment">//                                                      {</span>
    2516. 

  2516. <a name="l02417"></a>02417 <span class="comment">//                                                              break;</span>
    2517. 

  2517. <a name="l02418"></a>02418 <span class="comment">//                                                      }</span>
    2518. 

  2518. <a name="l02419"></a>02419 <span class="comment">//                                                      sTst=(s0+s1)/2.0;</span>
    2519. 

  2519. <a name="l02420"></a>02420 <span class="comment">//                                              }</span>
    2520. 

  2520. <a name="l02421"></a>02421 <span class="comment">// </span>
    2521. 

  2521. <a name="l02422"></a>02422 <span class="comment">//                                              // we have narrowed the solution down to machine precision</span>
    2522. 

  2522. <a name="l02423"></a>02423 <span class="comment">//                                              if(sVal==0.0 || s0==s1)</span>
    2523. 

  2523. <a name="l02424"></a>02424 <span class="comment">//                                              {</span>
    2524. 

  2524. <a name="l02425"></a>02425 <span class="comment">//                                                      dataType valX=cube.entry(3,0)*pow(sTst,3.0)+cube.entry(2,0)*pow(sTst,2.0)+cube.entry(1,0)*sTst+cube.entry(0,0);</span>
    2525. 

  2525. <a name="l02426"></a>02426 <span class="comment">//                                                      if(valX&gt;=0.0 &amp;&amp; valX&lt;=1.0)</span>
    2526. 

  2526. <a name="l02427"></a>02427 <span class="comment">//                                                      {</span>
    2527. 

  2527. <a name="l02428"></a>02428 <span class="comment">//                                                              matrixRdWtStaticVectRow_Data&lt;dataType,2&gt; grad;</span>
    2528. 

  2528. <a name="l02429"></a>02429 <span class="comment">//                                                              gradient(cube,sTst,grad);</span>
    2529. 

  2529. <a name="l02430"></a>02430 <span class="comment">//                                                              iPnts.push_back(iPoint(sTst,fabs(grad.entry(1))/sqrt(pow(grad.entry(0),2.0)+pow(grad.entry(1),2.0))));</span>
    2530. 

  2530. <a name="l02431"></a>02431 <span class="comment">//                                                      }</span>
    2531. 

  2531. <a name="l02432"></a>02432 <span class="comment">//                                              }</span>
    2532. 

  2532. <a name="l02433"></a>02433 <span class="comment">//                                              else</span>
    2533. 

  2533. <a name="l02434"></a>02434 <span class="comment">//                                              {</span>
    2534. 

  2534. <a name="l02435"></a>02435 <span class="comment">//                                                      dataType val0=cube.entry(3,1)*pow(s0,3.0)+cube.entry(2,1)*pow(s0,2.0)+cube.entry(1,1)*s0+cube.entry(0,1);</span>
    2535. 

  2535. <a name="l02436"></a>02436 <span class="comment">//                                                      dataType val1=cube.entry(3,1)*pow(s1,3.0)+cube.entry(2,1)*pow(s1,2.0)+cube.entry(1,1)*s1+cube.entry(0,1);</span>
    2536. 

  2536. <a name="l02437"></a>02437 <span class="comment">//                                                      if(fabs(val0)&lt;fabs(val1))</span>
    2537. 

  2537. <a name="l02438"></a>02438 <span class="comment">//                                                      {</span>
    2538. 

  2538. <a name="l02439"></a>02439 <span class="comment">//                                                              dataType valX=cube.entry(3,0)*pow(s0,3.0)+cube.entry(2,0)*pow(s0,2.0)+cube.entry(1,0)*s0+cube.entry(0,0);</span>
    2539. 

  2539. <a name="l02440"></a>02440 <span class="comment">//                                                              if(valX&gt;=0.0 &amp;&amp; valX&lt;=1.0)</span>
    2540. 

  2540. <a name="l02441"></a>02441 <span class="comment">//                                                              {</span>
    2541. 

  2541. <a name="l02442"></a>02442 <span class="comment">//                                                                      matrixRdWtStaticVectRow_Data&lt;dataType,2&gt; grad;</span>
    2542. 

  2542. <a name="l02443"></a>02443 <span class="comment">//                                                                      gradient(cube,s0,grad);</span>
    2543. 

  2543. <a name="l02444"></a>02444 <span class="comment">//                                                                      iPnts.push_back(iPoint(s0,fabs(grad.entry(1))/sqrt(pow(grad.entry(0),2.0)+pow(grad.entry(1),2.0))));</span>
    2544. 

  2544. <a name="l02445"></a>02445 <span class="comment">//                                                              }</span>
    2545. 

  2545. <a name="l02446"></a>02446 <span class="comment">//                                                      }</span>
    2546. 

  2546. <a name="l02447"></a>02447 <span class="comment">//                                                      else</span>
    2547. 

  2547. <a name="l02448"></a>02448 <span class="comment">//                                                      {</span>
    2548. 

  2548. <a name="l02449"></a>02449 <span class="comment">//                                                              dataType valX=cube.entry(3,0)*pow(s1,3.0)+cube.entry(2,0)*pow(s1,2.0)+cube.entry(1,0)*s1+cube.entry(0,0);</span>
    2549. 

  2549. <a name="l02450"></a>02450 <span class="comment">//                                                              if(valX&gt;=0.0 &amp;&amp; valX&lt;=1.0)</span>
    2550. 

  2550. <a name="l02451"></a>02451 <span class="comment">//                                                              {</span>
    2551. 

  2551. <a name="l02452"></a>02452 <span class="comment">//                                                                      matrixRdWtStaticVectRow_Data&lt;dataType,2&gt; grad;</span>
    2552. 

  2552. <a name="l02453"></a>02453 <span class="comment">//                                                                      gradient(cube,s1,grad);</span>
    2553. 

  2553. <a name="l02454"></a>02454 <span class="comment">//                                                                      iPnts.push_back(iPoint(s1,fabs(grad.entry(1))/sqrt(pow(grad.entry(0),2.0)+pow(grad.entry(1),2.0))));</span>
    2554. 

  2554. <a name="l02455"></a>02455 <span class="comment">//                                                              }</span>
    2555. 

  2555. <a name="l02456"></a>02456 <span class="comment">//                                                      }</span>
    2556. 

  2556. <a name="l02457"></a>02457 <span class="comment">//                                              }</span>
    2557. 

  2557. <a name="l02458"></a>02458 <span class="comment">//                                      }</span>
    2558. 

  2558. <a name="l02459"></a>02459 <span class="comment">//                              }</span>
    2559. 

  2559. <a name="l02460"></a>02460 <span class="comment">//                      }</span>
    2560. 

  2560. <a name="l02461"></a>02461                 }
    2561. 

  2561. <a name="l02462"></a>02462 
    2562. 

  2562. <a name="l02463"></a>02463                 <span class="keywordtype">void</span> solveQuadratic(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh,<a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,4,2&gt;</a>&amp; cube,std::list&lt;iPoint&gt;&amp; iPnts)<span class="keyword"> const</span>
    2563. 

  2563. <a name="l02464"></a>02464 <span class="keyword">                </span>{
    2564. 

  2564. <a name="l02465"></a>02465                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> desc=pow(cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1),2.0)-4.0*cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1)*cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1);
    2565. 

  2565. <a name="l02466"></a>02466                         <span class="keywordflow">if</span>(desc==0.0)
    2566. 

  2566. <a name="l02467"></a>02467                         {
    2567. 

  2567. <a name="l02468"></a>02468                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s=-cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)/(2.0*cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1));
    2568. 

  2568. <a name="l02469"></a>02469                                 <span class="keywordflow">if</span>(s&gt;=sLow &amp;&amp; s&lt;=sHigh)
    2569. 

  2569. <a name="l02470"></a>02470                                 {
    2570. 

  2570. <a name="l02471"></a>02471                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> valX=cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3,0)*pow(s,3.0)+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,0)*pow(s,2.0)+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)*s+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0);
    2571. 

  2571. <a name="l02472"></a>02472                                         <span class="keywordflow">if</span>(valX&gt;=0.0 &amp;&amp; valX&lt;=1.0)
    2572. 

  2572. <a name="l02473"></a>02473                                         {
    2573. 

  2573. <a name="l02474"></a>02474                                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    2574. 

  2574. <a name="l02475"></a>02475                                                 gradient(cube,s,grad);
    2575. 

  2575. <a name="l02476"></a>02476                                                 iPnts.push_back(iPoint(s,fabs(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1))/sqrt(pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),2.0)+pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),2.0))));
    2576. 

  2576. <a name="l02477"></a>02477                                         }
    2577. 

  2577. <a name="l02478"></a>02478                                 }
    2578. 

  2578. <a name="l02479"></a>02479                         }
    2579. 

  2579. <a name="l02480"></a>02480                         <span class="keywordflow">else</span> <span class="keywordflow">if</span>(desc&gt;0.0)
    2580. 

  2580. <a name="l02481"></a>02481                         {
    2581. 

  2581. <a name="l02482"></a>02482                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s=(-cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)-sqrt(desc))/(2.0*cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1));
    2582. 

  2582. <a name="l02483"></a>02483                                 <span class="keywordflow">if</span>(s&gt;=sLow &amp;&amp; s&lt;=sHigh)
    2583. 

  2583. <a name="l02484"></a>02484                                 {
    2584. 

  2584. <a name="l02485"></a>02485                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> valX=cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3,0)*pow(s,3.0)+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,0)*pow(s,2.0)+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)*s+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0);
    2585. 

  2585. <a name="l02486"></a>02486                                         <span class="keywordflow">if</span>(valX&gt;=0.0 &amp;&amp; valX&lt;=1.0)
    2586. 

  2586. <a name="l02487"></a>02487                                         {
    2587. 

  2587. <a name="l02488"></a>02488                                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    2588. 

  2588. <a name="l02489"></a>02489                                                 gradient(cube,s,grad);
    2589. 

  2589. <a name="l02490"></a>02490                                                 iPnts.push_back(iPoint(s,fabs(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1))/sqrt(pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),2.0)+pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),2.0))));
    2590. 

  2590. <a name="l02491"></a>02491                                         }
    2591. 

  2591. <a name="l02492"></a>02492                                 }
    2592. 

  2592. <a name="l02493"></a>02493                                 s=(-cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)+sqrt(desc))/(2.0*cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1));
    2593. 

  2593. <a name="l02494"></a>02494                                 <span class="keywordflow">if</span>(s&gt;=sLow &amp;&amp; s&lt;=sHigh)
    2594. 

  2594. <a name="l02495"></a>02495                                 {
    2595. 

  2595. <a name="l02496"></a>02496                                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> valX=cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3,0)*pow(s,3.0)+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,0)*pow(s,2.0)+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)*s+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0);
    2596. 

  2596. <a name="l02497"></a>02497                                         <span class="keywordflow">if</span>(valX&gt;=0.0 &amp;&amp; valX&lt;=1.0)
    2597. 

  2597. <a name="l02498"></a>02498                                         {
    2598. 

  2598. <a name="l02499"></a>02499                                                 <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    2599. 

  2599. <a name="l02500"></a>02500                                                 gradient(cube,s,grad);
    2600. 

  2600. <a name="l02501"></a>02501                                                 iPnts.push_back(iPoint(s,fabs(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1))/sqrt(pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),2.0)+pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),2.0))));
    2601. 

  2601. <a name="l02502"></a>02502                                         }
    2602. 

  2602. <a name="l02503"></a>02503                                 }
    2603. 

  2603. <a name="l02504"></a>02504                         }
    2604. 

  2604. <a name="l02505"></a>02505                 }
    2605. 

  2605. <a name="l02506"></a>02506 
    2606. 

  2606. <a name="l02507"></a>02507                 <span class="keywordtype">void</span> solveLinear(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh,<a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,4,2&gt;</a>&amp; cube,std::list&lt;iPoint&gt;&amp; iPnts)<span class="keyword"> const</span>
    2607. 

  2607. <a name="l02508"></a>02508 <span class="keyword">                </span>{
    2608. 

  2608. <a name="l02509"></a>02509                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s=-cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1)/cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1);
    2609. 

  2609. <a name="l02510"></a>02510                         <span class="keywordflow">if</span>(s&gt;=sLow &amp;&amp; s&lt;=sHigh)
    2610. 

  2610. <a name="l02511"></a>02511                         {
    2611. 

  2611. <a name="l02512"></a>02512                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> valX=cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3,0)*pow(s,3.0)+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,0)*pow(s,2.0)+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)*s+cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0);
    2612. 

  2612. <a name="l02513"></a>02513                                 <span class="keywordflow">if</span>(valX&gt;=0.0 &amp;&amp; valX&lt;=1.0)
    2613. 

  2613. <a name="l02514"></a>02514                                 {
    2614. 

  2614. <a name="l02515"></a>02515                                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    2615. 

  2615. <a name="l02516"></a>02516                                         gradient(cube,s,grad);
    2616. 

  2616. <a name="l02517"></a>02517                                         iPnts.push_back(iPoint(s,fabs(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1))/sqrt(pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),2.0)+pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),2.0))));
    2617. 

  2617. <a name="l02518"></a>02518                                 }
    2618. 

  2618. <a name="l02519"></a>02519                         }
    2619. 

  2619. <a name="l02520"></a>02520                 }
    2620. 

  2620. <a name="l02521"></a>02521 
    2621. 

  2621. <a name="l02522"></a>02522                 <span class="keywordtype">void</span> getIPoints(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh,<a class="code" href="classmatrixRdWtStatic__Data.html">matrixRdWtStatic_Data&lt;dataType,4,2&gt;</a> cube,<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg,std::list&lt;iPoint&gt;&amp; iPnts)<span class="keyword"> const</span>
    2622. 

  2622. <a name="l02523"></a>02523 <span class="keyword">                </span>{
    2623. 

  2623. <a name="l02524"></a>02524                         <span class="comment">// now create the shifted - rotated - scaled cubic</span>
    2624. 

  2624. <a name="l02525"></a>02525                         <span class="comment">// 1st we shift it so the origin is at the start of the segment</span>
    2625. 

  2625. <a name="l02526"></a>02526                         cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)-=seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.x;
    2626. 

  2626. <a name="l02527"></a>02527                         cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1)-=seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.y;
    2627. 

  2627. <a name="l02528"></a>02528                         <span class="comment">// then we rotate and scale the polynomials</span>
    2628. 

  2628. <a name="l02529"></a>02529                         <a class="code" href="classmatrixRdWtStaticSqr__Data.html">matrixRdWtStaticSqr_Data&lt;dataType,2&gt;</a> rot;
    2629. 

  2629. <a name="l02530"></a>02530                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> L=seg.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.length();
    2630. 

  2630. <a name="l02531"></a>02531                         rot.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,0)=seg.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.x/pow(L,2.0);
    2631. 

  2631. <a name="l02532"></a>02532                         rot.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,0)=seg.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.y/pow(L,2.0);
    2632. 

  2632. <a name="l02533"></a>02533                         rot.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1)=-seg.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.y/pow(L,2.0);
    2633. 

  2633. <a name="l02534"></a>02534                         rot.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)=seg.<a class="code" href="classlineSegment.html#ac80f03cc2352b52fd08e0b4d804815b8">delta</a>.x/pow(L,2.0);
    2634. 

  2634. <a name="l02535"></a>02535                         cube=cube*rot;
    2635. 

  2635. <a name="l02536"></a>02536 
    2636. 

  2636. <a name="l02537"></a>02537                         <span class="keywordflow">if</span>(cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3,1)!=0.0)
    2637. 

  2637. <a name="l02538"></a>02538                                 solveCubic(sLow,sHigh,cube,iPnts);
    2638. 

  2638. <a name="l02539"></a>02539                         <span class="keywordflow">else</span> <span class="keywordflow">if</span>(cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2,1)!=0.0)
    2639. 

  2639. <a name="l02540"></a>02540                                 solveQuadratic(sLow,sHigh,cube,iPnts);
    2640. 

  2640. <a name="l02541"></a>02541                         <span class="keywordflow">else</span> <span class="keywordflow">if</span>(cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)!=0.0)
    2641. 

  2641. <a name="l02542"></a>02542                                 solveLinear(sLow,sHigh,cube,iPnts);
    2642. 

  2642. <a name="l02543"></a>02543                         <span class="keywordflow">if</span>(cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1,1)==0.0 &amp;&amp; cube.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0,1)==0.0)
    2643. 

  2643. <a name="l02544"></a>02544                         {
    2644. 

  2644. <a name="l02545"></a>02545                                 std::cerr &lt;&lt; <span class="stringliteral">&quot;curve_polygon::getIPoints(): Warning detected an intersection with a co-linear line segment&quot;</span> &lt;&lt; std::endl;
    2645. 

  2645. <a name="l02546"></a>02546                                 iPnts.push_back(iPoint((sLow+sHigh)/2.0,0.0));
    2646. 

  2646. <a name="l02547"></a>02547                         }
    2647. 

  2647. <a name="l02548"></a>02548                 }
    2648. 

  2648. <a name="l02549"></a>02549 
    2649. 

  2649. <a name="l02550"></a>02550                 <span class="keyword">class </span>extrema
    2650. 

  2650. <a name="l02551"></a>02551                 {
    2651. 

  2651. <a name="l02552"></a>02552                         <span class="keyword">public</span>:
    2652. 

  2652. <a name="l02553"></a>02553 
    2653. 

  2653. <a name="l02554"></a>02554                                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> atCurve;
    2654. 

  2654. <a name="l02555"></a>02555                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atS;
    2655. 

  2655. <a name="l02556"></a>02556 
    2656. 

  2656. <a name="l02557"></a>02557                                 extrema(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> atCurve_in=0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atS_in=0.0) : atCurve(atCurve_in) , atS(atS_in)
    2657. 

  2657. <a name="l02558"></a>02558                                 {}
    2658. 

  2658. <a name="l02559"></a>02559 
    2659. 

  2659. <a name="l02560"></a>02560                                 extrema(<span class="keyword">const</span> extrema&amp; asg) : atCurve(asg.atCurve) , atS(asg.atS)
    2660. 

  2660. <a name="l02561"></a>02561                                 {}
    2661. 

  2661. <a name="l02562"></a>02562 
    2662. 

  2662. <a name="l02563"></a>02563                                 ~extrema()
    2663. 

  2663. <a name="l02564"></a>02564                                 {}
    2664. 

  2664. <a name="l02565"></a>02565 
    2665. 

  2665. <a name="l02566"></a>02566                                 extrema&amp; operator=(<span class="keyword">const</span> extrema&amp; asg)
    2666. 

  2666. <a name="l02567"></a>02567                                 {
    2667. 

  2667. <a name="l02568"></a>02568                                         this-&gt;atCurve=asg.atCurve;
    2668. 

  2668. <a name="l02569"></a>02569                                         this-&gt;atS=asg.atS;
    2669. 

  2669. <a name="l02570"></a>02570 
    2670. 

  2670. <a name="l02571"></a>02571                                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    2671. 

  2671. <a name="l02572"></a>02572                                 }
    2672. 

  2672. <a name="l02573"></a>02573                 };
    2673. 

  2673. <a name="l02574"></a>02574 
    2674. 

  2674. <a name="l02575"></a>02575                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> getExtrema(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; s0,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; s1)<span class="keyword"> const</span>
    2675. 

  2675. <a name="l02576"></a>02576 <span class="keyword">                </span>{
    2676. 

  2676. <a name="l02577"></a>02577                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> desc=B*B-4.0*A*<a class="code" href="timoshenko_8cpp.html#a782271fe256f5ab9801b612fc8c854d0">C</a>;
    2677. 

  2677. <a name="l02578"></a>02578                         <span class="keywordflow">if</span>(desc&lt;0.0)
    2678. 

  2678. <a name="l02579"></a>02579                                 <span class="keywordflow">return</span> 0;
    2679. 

  2679. <a name="l02580"></a>02580                         s1=s0=-B/(2.0*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>);
    2680. 

  2680. <a name="l02581"></a>02581                         <span class="keywordflow">if</span>(desc==0.0)
    2681. 

  2681. <a name="l02582"></a>02582                                 <span class="keywordflow">return</span> 1;
    2682. 

  2682. <a name="l02583"></a>02583                         desc=sqrt(desc)/(2.0*<a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>);
    2683. 

  2683. <a name="l02584"></a>02584                         s0-=desc;
    2684. 

  2684. <a name="l02585"></a>02585                         s1+=desc;
    2685. 

  2685. <a name="l02586"></a>02586                         <span class="keywordflow">return</span> 2;
    2686. 

  2686. <a name="l02587"></a>02587                 }
    2687. 

  2687. <a name="l02588"></a>02588 
    2688. 

  2688. <a name="l02589"></a>02589                 <span class="keywordtype">void</span> getExtrema(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> atCurve,<span class="keywordtype">bool</span> forX,std::list&lt;extrema&gt;&amp; pnts)<span class="keyword"> const</span>
    2689. 

  2689. <a name="l02590"></a>02590 <span class="keyword">                </span>{
    2690. 

  2690. <a name="l02591"></a>02591 <span class="comment">//                      const matrixRdWtStatic_Data&lt;dataType,4,2&gt;&amp; cube=cubics[atCurve];</span>
    2691. 

  2691. <a name="l02592"></a>02592                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> ord;
    2692. 

  2692. <a name="l02593"></a>02593                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> cnt;
    2693. 

  2693. <a name="l02594"></a>02594                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s0;
    2694. 

  2694. <a name="l02595"></a>02595                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s1;
    2695. 

  2695. <a name="l02596"></a>02596 
    2696. 

  2696. <a name="l02597"></a>02597                         <span class="keywordflow">if</span>(forX)
    2697. 

  2697. <a name="l02598"></a>02598                                 ord=0;
    2698. 

  2698. <a name="l02599"></a>02599                         <span class="keywordflow">else</span>
    2699. 

  2699. <a name="l02600"></a>02600                                 ord=1;
    2700. 

  2700. <a name="l02601"></a>02601 
    2701. 

  2701. <a name="l02602"></a>02602                         cnt=getExtrema(cubics[atCurve].entry(3,ord)*3.0,cubics[atCurve].entry(2,ord)*2.0,cubics[atCurve].entry(1,ord),s0,s1);
    2702. 

  2702. <a name="l02603"></a>02603                         <span class="keywordflow">if</span>(cnt&gt;0)
    2703. 

  2703. <a name="l02604"></a>02604                         {
    2704. 

  2704. <a name="l02605"></a>02605                                 <span class="keywordflow">if</span>(s0&gt;sLow &amp;&amp; sHigh&gt;=s0)
    2705. 

  2705. <a name="l02606"></a>02606                                         pnts.push_back(extrema(atCurve,s0));
    2706. 

  2706. <a name="l02607"></a>02607                                 <span class="keywordflow">if</span>(s0==sLow &amp;&amp; (pnts.size()==0 || s0!=pnts.back().atS) )
    2707. 

  2707. <a name="l02608"></a>02608                                         pnts.push_back(extrema(atCurve,s0));
    2708. 

  2708. <a name="l02609"></a>02609                                 <span class="keywordflow">if</span>(cnt==2)
    2709. 

  2709. <a name="l02610"></a>02610                                 {
    2710. 

  2710. <a name="l02611"></a>02611                                         <span class="keywordflow">if</span>(s1&gt;sLow &amp;&amp; sHigh&gt;=s1)
    2711. 

  2711. <a name="l02612"></a>02612                                                 pnts.push_back(extrema(atCurve,s1));
    2712. 

  2712. <a name="l02613"></a>02613                                         <span class="keywordflow">if</span>(s1==sLow &amp;&amp; (pnts.size()==0 || s1!=pnts.back().atS) )
    2713. 

  2713. <a name="l02614"></a>02614                                                 pnts.push_back(extrema(atCurve,s1));
    2714. 

  2714. <a name="l02615"></a>02615                                 }
    2715. 

  2715. <a name="l02616"></a>02616                         }
    2716. 

  2716. <a name="l02617"></a>02617                 }
    2717. 

  2717. <a name="l02618"></a>02618 
    2718. 

  2718. <a name="l02619"></a>02619                 <span class="keywordtype">void</span> getExtrema(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> atCurve,std::list&lt;extrema&gt;&amp; xPnts,std::list&lt;extrema&gt;&amp; yPnts)<span class="keyword"> const</span>
    2719. 

  2719. <a name="l02620"></a>02620 <span class="keyword">                </span>{
    2720. 

  2720. <a name="l02621"></a>02621                         getExtrema(sLow,sHigh,atCurve,<span class="keyword">true</span>,xPnts);
    2721. 

  2721. <a name="l02622"></a>02622                         getExtrema(sLow,sHigh,atCurve,<span class="keyword">false</span>,yPnts);
    2722. 

  2722. <a name="l02623"></a>02623                 }
    2723. 

  2723. <a name="l02624"></a>02624 
    2724. 

  2724. <a name="l02625"></a>02625         <span class="keyword">public</span>:
    2725. 

  2725. <a name="l02626"></a>02626 
    2726. 

  2726. <a name="l02627"></a><a class="code" href="classcurve__polygon.html#aaa67c1697d029e06168412aadfcdb599">02627</a>                 <a class="code" href="classcurve__polygon.html#a69ad7af73841588d60bd43dbaf76687a">curve_polygon</a>(<span class="keyword">const</span> <a class="code" href="classpolygon.html">polygon&lt;dataType&gt;</a>&amp; poly)
    2727. 

  2727. <a name="l02628"></a>02628                 {
    2728. 

  2728. <a name="l02629"></a>02629                         setVertices(poly);
    2729. 

  2729. <a name="l02630"></a>02630                 }
    2730. 

  2730. <a name="l02631"></a>02631 
    2731. 

  2731. <a name="l02632"></a><a class="code" href="classcurve__polygon.html#a975cb96da5e8d4c9c3194af76424c828">02632</a>                 <span class="keyword">virtual</span> <a class="code" href="classcurve__polygon.html#a975cb96da5e8d4c9c3194af76424c828">~curve_polygon</a>()
    2732. 

  2732. <a name="l02633"></a>02633                 {}
    2733. 

  2733. <a name="l02634"></a>02634 
    2734. 

  2734. <a name="l02635"></a><a class="code" href="classcurve__polygon.html#a34a8d37badde4c26d38ccc0bfa8cc309">02635</a>                 <a class="code" href="classcurve__polygon.html">curve_polygon&lt;dataType&gt;</a>&amp; <a class="code" href="classcurve__polygon.html#a34a8d37badde4c26d38ccc0bfa8cc309">setPolygon</a>(<span class="keyword">const</span> <a class="code" href="classpolygon.html">polygon&lt;dataType&gt;</a>&amp; poly)
    2735. 

  2735. <a name="l02636"></a>02636                 {
    2736. 

  2736. <a name="l02637"></a>02637                         setVertices(poly);
    2737. 

  2737. <a name="l02638"></a>02638                         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    2738. 

  2738. <a name="l02639"></a>02639                 }
    2739. 

  2739. <a name="l02640"></a>02640 
    2740. 

  2740. <a name="l02641"></a><a class="code" href="classcurve__polygon.html#ad9e5e04a691ac5d36932df7151fec22d">02641</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve__polygon.html#ad9e5e04a691ac5d36932df7151fec22d">getPosition</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s)<span class="keyword"> const</span>
    2741. 

  2741. <a name="l02642"></a>02642 <span class="keyword">                </span>{
    2742. 

  2742. <a name="l02643"></a>02643                         <span class="comment">// find the correct cubic</span>
    2743. 

  2743. <a name="l02644"></a>02644                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at=getAt(s);
    2744. 

  2744. <a name="l02645"></a>02645 
    2745. 

  2745. <a name="l02646"></a>02646                         <span class="comment">// solve the position</span>
    2746. 

  2746. <a name="l02647"></a>02647                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt;
    2747. 

  2747. <a name="l02648"></a>02648                         position(cubics[at],s,pnt);
    2748. 

  2748. <a name="l02649"></a>02649 
    2749. 

  2749. <a name="l02650"></a>02650                         <span class="comment">// return the results</span>
    2750. 

  2750. <a name="l02651"></a>02651                         <span class="keywordflow">return</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    2751. 

  2751. <a name="l02652"></a>02652                 }
    2752. 

  2752. <a name="l02653"></a>02653 
    2753. 

  2753. <a name="l02654"></a><a class="code" href="classcurve__polygon.html#a669bed1c86449f65e84203b0295b6dc1">02654</a>                 <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> <a class="code" href="classcurve__polygon.html#a669bed1c86449f65e84203b0295b6dc1">getPointData</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s)<span class="keyword"> const</span>
    2754. 

  2754. <a name="l02655"></a>02655 <span class="keyword">                </span>{
    2755. 

  2755. <a name="l02656"></a>02656                         <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> retVal;
    2756. 

  2756. <a name="l02657"></a>02657                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt;
    2757. 

  2757. <a name="l02658"></a>02658 
    2758. 

  2758. <a name="l02659"></a>02659                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at=getAt(s);
    2759. 

  2759. <a name="l02660"></a>02660                         position(cubics[at],s,pnt);
    2760. 

  2760. <a name="l02661"></a>02661 
    2761. 

  2761. <a name="l02662"></a>02662                         retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>.x=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    2762. 

  2762. <a name="l02663"></a>02663                         retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>.y=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    2763. 

  2763. <a name="l02664"></a>02664 
    2764. 

  2764. <a name="l02665"></a>02665                         gradient(cubics[at],s,pnt);
    2765. 

  2765. <a name="l02666"></a>02666 
    2766. 

  2766. <a name="l02667"></a>02667                         retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>=atan2(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0));
    2767. 

  2767. <a name="l02668"></a>02668 
    2768. 

  2768. <a name="l02669"></a>02669                         retVal.<a class="code" href="classcurvePointData.html#a8a6d5fff4e06528adf91c68e285a1edb">sEstimate</a>=s;
    2769. 

  2769. <a name="l02670"></a>02670 
    2770. 

  2770. <a name="l02671"></a>02671                         <span class="keywordflow">return</span> retVal;
    2771. 

  2771. <a name="l02672"></a>02672                 }
    2772. 

  2772. <a name="l02673"></a>02673 
    2773. 

  2773. <a name="l02674"></a><a class="code" href="classcurve__polygon.html#a1b0d46775544ab44226afa0d736d6641">02674</a>                 <span class="keyword">virtual</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve__polygon.html#a1b0d46775544ab44226afa0d736d6641">intersectFirst</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg)<span class="keyword"> const</span>
    2774. 

  2774. <a name="l02675"></a>02675 <span class="keyword">                </span>{
    2775. 

  2775. <a name="l02676"></a>02676                         <span class="comment">// find all the intersections</span>
    2776. 

  2776. <a name="l02677"></a>02677                         std::list&lt;iPoint&gt; iPnts;
    2777. 

  2777. <a name="l02678"></a>02678                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> weight=0.0;
    2778. 

  2778. <a name="l02679"></a>02679                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz;
    2779. 

  2779. <a name="l02680"></a>02680                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;cubics.size();i++)
    2780. 

  2780. <a name="l02681"></a>02681                         {
    2781. 

  2781. <a name="l02682"></a>02682                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow;
    2782. 

  2782. <a name="l02683"></a>02683                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh;
    2783. 

  2783. <a name="l02684"></a>02684 
    2784. 

  2784. <a name="l02685"></a>02685                                 sz=iPnts.size();
    2785. 

  2785. <a name="l02686"></a>02686                                 sRange(i,sLow,sHigh);
    2786. 

  2786. <a name="l02687"></a>02687                                 getIPoints(sLow,sHigh,cubics[i],seg,iPnts);
    2787. 

  2787. <a name="l02688"></a>02688 
    2788. 

  2788. <a name="l02689"></a>02689                                 <span class="keyword">typename</span> std::list&lt;iPoint&gt;::reverse_iterator it=iPnts.rbegin();
    2789. 

  2789. <a name="l02690"></a>02690 
    2790. 

  2790. <a name="l02691"></a>02691                                 <span class="comment">// solve the pnt for any new solution</span>
    2791. 

  2791. <a name="l02692"></a>02692                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;(iPnts.size()-sz);j++)
    2792. 

  2792. <a name="l02693"></a>02693                                 {
    2793. 

  2793. <a name="l02694"></a>02694                                         position(cubics[i],it-&gt;s,it-&gt;pnt);
    2794. 

  2794. <a name="l02695"></a>02695                                         weight+=it-&gt;w;
    2795. 

  2795. <a name="l02696"></a>02696                                         it++;
    2796. 

  2796. <a name="l02697"></a>02697                                 }
    2797. 

  2797. <a name="l02698"></a>02698                         }
    2798. 

  2798. <a name="l02699"></a>02699 
    2799. 

  2799. <a name="l02700"></a>02700                         <span class="comment">// confirm we have a solution</span>
    2800. 

  2800. <a name="l02701"></a>02701                         <span class="keywordflow">if</span>(iPnts.size()==0)
    2801. 

  2801. <a name="l02702"></a>02702                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curve_polygon::intersectFirst(): Failed to find intersection&quot;</span>);
    2802. 

  2802. <a name="l02703"></a>02703 
    2803. 

  2803. <a name="l02704"></a>02704                         <span class="comment">// Find the nearest                     </span>
    2804. 

  2804. <a name="l02705"></a>02705                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt=iPnts.front().pnt;
    2805. 

  2805. <a name="l02706"></a>02706                         <span class="keyword">typename</span> std::list&lt;iPoint&gt;::iterator it=iPnts.begin();
    2806. 

  2806. <a name="l02707"></a>02707                         it++;
    2807. 

  2807. <a name="l02708"></a>02708                         <span class="keywordflow">for</span>(;it!=iPnts.end();it++)
    2808. 

  2808. <a name="l02709"></a>02709                         {
    2809. 

  2809. <a name="l02710"></a>02710                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> distChamp=sqrt(pow(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0)-seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.x,2.0)+pow(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1)-seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.y,2.0));
    2810. 

  2810. <a name="l02711"></a>02711                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> distChalng=sqrt(pow(it-&gt;pnt.entry(0)-seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.x,2.0)+pow(it-&gt;pnt.entry(1)-seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.y,2.0));
    2811. 

  2811. <a name="l02712"></a>02712                                 <span class="keywordflow">if</span>(distChalng&lt;distChamp)
    2812. 

  2812. <a name="l02713"></a>02713                                         pnt=it-&gt;pnt;
    2813. 

  2813. <a name="l02714"></a>02714                         }
    2814. 

  2814. <a name="l02715"></a>02715 
    2815. 

  2815. <a name="l02716"></a>02716                         <span class="comment">// return the results</span>
    2816. 

  2816. <a name="l02717"></a>02717                         <span class="keywordflow">return</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    2817. 

  2817. <a name="l02718"></a>02718                 }
    2818. 

  2818. <a name="l02719"></a>02719 
    2819. 

  2819. <a name="l02720"></a><a class="code" href="classcurve__polygon.html#a1b30158567e2b00f5d79b296918c505a">02720</a>                 <span class="keyword">virtual</span> <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> <a class="code" href="classcurve__polygon.html#a1b30158567e2b00f5d79b296918c505a">intersectFirstData</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg)<span class="keyword"> const</span>
    2820. 

  2820. <a name="l02721"></a>02721 <span class="keyword">                </span>{
    2821. 

  2821. <a name="l02722"></a>02722                         <span class="comment">// note that the ply angle is not defined as the tangent but instead as the weighted averag of the all the intersection tangents</span>
    2822. 

  2822. <a name="l02723"></a>02723                         <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> retVal;
    2823. 

  2823. <a name="l02724"></a>02724 
    2824. 

  2824. <a name="l02725"></a>02725                         <span class="comment">// find all the intersections</span>
    2825. 

  2825. <a name="l02726"></a>02726                         std::list&lt;iPoint&gt; iPnts;
    2826. 

  2826. <a name="l02727"></a>02727                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> weight=0.0;
    2827. 

  2827. <a name="l02728"></a>02728                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz;
    2828. 

  2828. <a name="l02729"></a>02729                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;cubics.size();i++)
    2829. 

  2829. <a name="l02730"></a>02730                         {
    2830. 

  2830. <a name="l02731"></a>02731                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow;
    2831. 

  2831. <a name="l02732"></a>02732                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh;
    2832. 

  2832. <a name="l02733"></a>02733 
    2833. 

  2833. <a name="l02734"></a>02734                                 sz=iPnts.size();
    2834. 

  2834. <a name="l02735"></a>02735                                 sRange(i,sLow,sHigh);
    2835. 

  2835. <a name="l02736"></a>02736                                 getIPoints(sLow,sHigh,cubics[i],seg,iPnts);
    2836. 

  2836. <a name="l02737"></a>02737 
    2837. 

  2837. <a name="l02738"></a>02738                                 <span class="keyword">typename</span> std::list&lt;iPoint&gt;::reverse_iterator it=iPnts.rbegin();
    2838. 

  2838. <a name="l02739"></a>02739 
    2839. 

  2839. <a name="l02740"></a>02740                                 <span class="comment">// solve the pnt for any new solution</span>
    2840. 

  2840. <a name="l02741"></a>02741                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;(iPnts.size()-sz);j++)
    2841. 

  2841. <a name="l02742"></a>02742                                 {
    2842. 

  2842. <a name="l02743"></a>02743 
    2843. 

  2843. <a name="l02744"></a>02744                                         position(cubics[i],it-&gt;s,it-&gt;pnt);
    2844. 

  2844. <a name="l02745"></a>02745                                         gradient(cubics[i],it-&gt;s,it-&gt;grad);
    2845. 

  2845. <a name="l02746"></a>02746 
    2846. 

  2846. <a name="l02747"></a>02747                                         weight+=it-&gt;w;
    2847. 

  2847. <a name="l02748"></a>02748                                         it++;
    2848. 

  2848. <a name="l02749"></a>02749                                 }
    2849. 

  2849. <a name="l02750"></a>02750                         }
    2850. 

  2850. <a name="l02751"></a>02751 
    2851. 

  2851. <a name="l02752"></a>02752                         <span class="comment">// confirm we have a solution</span>
    2852. 

  2852. <a name="l02753"></a>02753                         <span class="keywordflow">if</span>(iPnts.size()==0)
    2853. 

  2853. <a name="l02754"></a>02754                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curve_polygon::intersectFirstData(): Failed to find intersection&quot;</span>);
    2854. 

  2854. <a name="l02755"></a>02755 
    2855. 

  2855. <a name="l02756"></a>02756                         <span class="comment">// Find the nearest</span>
    2856. 

  2856. <a name="l02757"></a>02757                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atS=iPnts.front().s;
    2857. 

  2857. <a name="l02758"></a>02758                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt=iPnts.front().pnt;
    2858. 

  2858. <a name="l02759"></a>02759                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>=iPnts.front().grad;
    2859. 

  2859. <a name="l02760"></a>02760                         <span class="keyword">typename</span> std::list&lt;iPoint&gt;::iterator it=iPnts.begin();
    2860. 

  2860. <a name="l02761"></a>02761                         it++;
    2861. 

  2861. <a name="l02762"></a>02762                         <span class="keywordflow">for</span>(;it!=iPnts.end();it++)
    2862. 

  2862. <a name="l02763"></a>02763                         {
    2863. 

  2863. <a name="l02764"></a>02764                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> distChamp=sqrt(pow(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0)-seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.x,2.0)+pow(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1)-seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.y,2.0));
    2864. 

  2864. <a name="l02765"></a>02765                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> distChalng=sqrt(pow(it-&gt;pnt.entry(0)-seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.x,2.0)+pow(it-&gt;pnt.entry(1)-seg.<a class="code" href="classlineSegment.html#a08b1e2ce361736f69809ae2b3200b8d5">start</a>.y,2.0));
    2865. 

  2865. <a name="l02766"></a>02766                                 <span class="keywordflow">if</span>(distChalng&lt;distChamp)
    2866. 

  2866. <a name="l02767"></a>02767                                 {
    2867. 

  2867. <a name="l02768"></a>02768                                         atS=it-&gt;s;
    2868. 

  2868. <a name="l02769"></a>02769                                         pnt=it-&gt;pnt;
    2869. 

  2869. <a name="l02770"></a>02770                                         grad=it-&gt;grad;
    2870. 

  2870. <a name="l02771"></a>02771                                 }
    2871. 

  2871. <a name="l02772"></a>02772                         }
    2872. 

  2872. <a name="l02773"></a>02773 
    2873. 

  2873. <a name="l02774"></a>02774                         <span class="comment">// build the return value</span>
    2874. 

  2874. <a name="l02775"></a>02775                         retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>.x=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    2875. 

  2875. <a name="l02776"></a>02776                         retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>.y=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    2876. 

  2876. <a name="l02777"></a>02777                         retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>=atan2(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0));
    2877. 

  2877. <a name="l02778"></a>02778                         retVal.<a class="code" href="classcurvePointData.html#a8a6d5fff4e06528adf91c68e285a1edb">sEstimate</a>=atS;
    2878. 

  2878. <a name="l02779"></a>02779 
    2879. 

  2879. <a name="l02780"></a>02780                         <span class="keywordflow">return</span> retVal;
    2880. 

  2880. <a name="l02781"></a>02781                 }
    2881. 

  2881. <a name="l02782"></a>02782 
    2882. 

  2882. <a name="l02783"></a><a class="code" href="classcurve__polygon.html#a64b6e115f461c4bd3fc34fb59fe8f509">02783</a>                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classcurve__polygon.html#a64b6e115f461c4bd3fc34fb59fe8f509">intersectAverage</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg)<span class="keyword"> const</span>
    2883. 

  2883. <a name="l02784"></a>02784 <span class="keyword">                </span>{
    2884. 

  2884. <a name="l02785"></a>02785                         <span class="comment">// find all the intersections</span>
    2885. 

  2885. <a name="l02786"></a>02786                         std::list&lt;iPoint&gt; iPnts;
    2886. 

  2886. <a name="l02787"></a>02787                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> weight=0.0;
    2887. 

  2887. <a name="l02788"></a>02788                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz;
    2888. 

  2888. <a name="l02789"></a>02789                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;cubics.size();i++)
    2889. 

  2889. <a name="l02790"></a>02790                         {
    2890. 

  2890. <a name="l02791"></a>02791                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow;
    2891. 

  2891. <a name="l02792"></a>02792                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh;
    2892. 

  2892. <a name="l02793"></a>02793 
    2893. 

  2893. <a name="l02794"></a>02794                                 sz=iPnts.size();
    2894. 

  2894. <a name="l02795"></a>02795                                 sRange(i,sLow,sHigh);
    2895. 

  2895. <a name="l02796"></a>02796                                 getIPoints(sLow,sHigh,cubics[i],seg,iPnts);
    2896. 

  2896. <a name="l02797"></a>02797 
    2897. 

  2897. <a name="l02798"></a>02798                                 <span class="keyword">typename</span> std::list&lt;iPoint&gt;::reverse_iterator it=iPnts.rbegin();
    2898. 

  2898. <a name="l02799"></a>02799 
    2899. 

  2899. <a name="l02800"></a>02800                                 <span class="comment">// solve the pnt for any new solution</span>
    2900. 

  2900. <a name="l02801"></a>02801                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;(iPnts.size()-sz);j++)
    2901. 

  2901. <a name="l02802"></a>02802                                 {
    2902. 

  2902. <a name="l02803"></a>02803                                         position(cubics[i],it-&gt;s,it-&gt;pnt);
    2903. 

  2903. <a name="l02804"></a>02804                                         weight+=it-&gt;w;
    2904. 

  2904. <a name="l02805"></a>02805                                         it++;
    2905. 

  2905. <a name="l02806"></a>02806                                 }
    2906. 

  2906. <a name="l02807"></a>02807                         }
    2907. 

  2907. <a name="l02808"></a>02808 
    2908. 

  2908. <a name="l02809"></a>02809                         <span class="comment">// confirm we have a solution</span>
    2909. 

  2909. <a name="l02810"></a>02810                         <span class="keywordflow">if</span>(iPnts.size()==0)
    2910. 

  2910. <a name="l02811"></a>02811                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curve_polygon::intersectAverage(): Failed to find intersection&quot;</span>);
    2911. 

  2911. <a name="l02812"></a>02812 
    2912. 

  2912. <a name="l02813"></a>02813                         <span class="comment">// Solve the weighted average</span>
    2913. 

  2913. <a name="l02814"></a>02814                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,1,2&gt;</a>();
    2914. 

  2914. <a name="l02815"></a>02815                         <span class="keywordflow">for</span>(<span class="keyword">typename</span> std::list&lt;iPoint&gt;::iterator it=iPnts.begin();it!=iPnts.end();it++)
    2915. 

  2915. <a name="l02816"></a>02816                         {
    2916. 

  2916. <a name="l02817"></a>02817                                 <span class="keywordflow">if</span>(weight==0.0)
    2917. 

  2917. <a name="l02818"></a>02818                                         pnt+=it-&gt;pnt;
    2918. 

  2918. <a name="l02819"></a>02819                                 <span class="keywordflow">else</span>
    2919. 

  2919. <a name="l02820"></a>02820                                         pnt+=it-&gt;pnt*it-&gt;w;
    2920. 

  2920. <a name="l02821"></a>02821                         }
    2921. 

  2921. <a name="l02822"></a>02822                         <span class="keywordflow">if</span>(weight==0.0)
    2922. 

  2922. <a name="l02823"></a>02823                                 pnt=pnt*(1.0/<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>(iPnts.size()));
    2923. 

  2923. <a name="l02824"></a>02824                         <span class="keywordflow">else</span>
    2924. 

  2924. <a name="l02825"></a>02825                                 pnt=pnt*(1.0/weight);
    2925. 

  2925. <a name="l02826"></a>02826 
    2926. 

  2926. <a name="l02827"></a>02827                         <span class="comment">// return the results</span>
    2927. 

  2927. <a name="l02828"></a>02828                         <span class="keywordflow">return</span> <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    2928. 

  2928. <a name="l02829"></a>02829                 }
    2929. 

  2929. <a name="l02830"></a>02830 
    2930. 

  2930. <a name="l02831"></a><a class="code" href="classcurve__polygon.html#a65e37425ea9208e509df9df3759d3d95">02831</a>                 <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> <a class="code" href="classcurve__polygon.html#a65e37425ea9208e509df9df3759d3d95">intersectAverageData</a>(<span class="keyword">const</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>&amp; seg)<span class="keyword"> const</span>
    2931. 

  2931. <a name="l02832"></a>02832 <span class="keyword">                </span>{
    2932. 

  2932. <a name="l02833"></a>02833                         <span class="comment">// note that the ply angle is not defined as the tangent but instead as the weighted averag of the all the intersection tangents</span>
    2933. 

  2933. <a name="l02834"></a>02834                         <a class="code" href="classcurvePointData.html">curvePointData&lt;dataType&gt;</a> retVal;
    2934. 

  2934. <a name="l02835"></a>02835 
    2935. 

  2935. <a name="l02836"></a>02836                         <span class="comment">// find all the intersections</span>
    2936. 

  2936. <a name="l02837"></a>02837                         std::list&lt;iPoint&gt; iPnts;
    2937. 

  2937. <a name="l02838"></a>02838                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> weight=0.0;
    2938. 

  2938. <a name="l02839"></a>02839                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz;
    2939. 

  2939. <a name="l02840"></a>02840                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;cubics.size();i++)
    2940. 

  2940. <a name="l02841"></a>02841                         {
    2941. 

  2941. <a name="l02842"></a>02842                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow;
    2942. 

  2942. <a name="l02843"></a>02843                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh;
    2943. 

  2943. <a name="l02844"></a>02844 
    2944. 

  2944. <a name="l02845"></a>02845                                 sz=iPnts.size();
    2945. 

  2945. <a name="l02846"></a>02846                                 sRange(i,sLow,sHigh);
    2946. 

  2946. <a name="l02847"></a>02847                                 getIPoints(sLow,sHigh,cubics[i],seg,iPnts);
    2947. 

  2947. <a name="l02848"></a>02848 
    2948. 

  2948. <a name="l02849"></a>02849                                 <span class="keyword">typename</span> std::list&lt;iPoint&gt;::reverse_iterator it=iPnts.rbegin();
    2949. 

  2949. <a name="l02850"></a>02850 
    2950. 

  2950. <a name="l02851"></a>02851                                 <span class="comment">// solve the pnt for any new solution</span>
    2951. 

  2951. <a name="l02852"></a>02852                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;(iPnts.size()-sz);j++)
    2952. 

  2952. <a name="l02853"></a>02853                                 {
    2953. 

  2953. <a name="l02854"></a>02854 
    2954. 

  2954. <a name="l02855"></a>02855                                         position(cubics[i],it-&gt;s,it-&gt;pnt);
    2955. 

  2955. <a name="l02856"></a>02856                                         gradient(cubics[i],it-&gt;s,it-&gt;grad);
    2956. 

  2956. <a name="l02857"></a>02857 
    2957. 

  2957. <a name="l02858"></a>02858                                         weight+=it-&gt;w;
    2958. 

  2958. <a name="l02859"></a>02859                                         it++;
    2959. 

  2959. <a name="l02860"></a>02860                                 }
    2960. 

  2960. <a name="l02861"></a>02861                         }
    2961. 

  2961. <a name="l02862"></a>02862 
    2962. 

  2962. <a name="l02863"></a>02863                         <span class="comment">// confirm we have a solution</span>
    2963. 

  2963. <a name="l02864"></a>02864                         <span class="keywordflow">if</span>(iPnts.size()==0)
    2964. 

  2964. <a name="l02865"></a>02865                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curve_polygon::intersectAverageData(): Failed to find intersection&quot;</span>);
    2965. 

  2965. <a name="l02866"></a>02866 
    2966. 

  2966. <a name="l02867"></a>02867                         <span class="comment">// determine the weghted average</span>
    2967. 

  2967. <a name="l02868"></a>02868                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,1,2&gt;</a>();
    2968. 

  2968. <a name="l02869"></a>02869                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,1,2&gt;</a>();
    2969. 

  2969. <a name="l02870"></a>02870                         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> atS=0.0;
    2970. 

  2970. <a name="l02871"></a>02871                         <span class="keywordflow">for</span>(<span class="keyword">typename</span> std::list&lt;iPoint&gt;::iterator it=iPnts.begin();it!=iPnts.end();it++)
    2971. 

  2971. <a name="l02872"></a>02872                         {
    2972. 

  2972. <a name="l02873"></a>02873                                 <span class="keywordflow">if</span>(weight==0.0)
    2973. 

  2973. <a name="l02874"></a>02874                                 {
    2974. 

  2974. <a name="l02875"></a>02875                                         pnt+=it-&gt;pnt;
    2975. 

  2975. <a name="l02876"></a>02876                                         grad+=it-&gt;grad;
    2976. 

  2976. <a name="l02877"></a>02877                                         atS+=it-&gt;s;
    2977. 

  2977. <a name="l02878"></a>02878                                 }
    2978. 

  2978. <a name="l02879"></a>02879                                 <span class="keywordflow">else</span>
    2979. 

  2979. <a name="l02880"></a>02880                                 {
    2980. 

  2980. <a name="l02881"></a>02881                                         pnt+=it-&gt;pnt*it-&gt;w;
    2981. 

  2981. <a name="l02882"></a>02882                                         grad+=it-&gt;grad*it-&gt;w;
    2982. 

  2982. <a name="l02883"></a>02883                                         atS+=it-&gt;s*it-&gt;w;
    2983. 

  2983. <a name="l02884"></a>02884                                 }
    2984. 

  2984. <a name="l02885"></a>02885                         }
    2985. 

  2985. <a name="l02886"></a>02886                         <span class="keywordflow">if</span>(weight==0.0)
    2986. 

  2986. <a name="l02887"></a>02887                         {
    2987. 

  2987. <a name="l02888"></a>02888                                 pnt=pnt*(1.0/<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>(iPnts.size()));
    2988. 

  2988. <a name="l02889"></a>02889                                 grad=grad*(1.0/<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>(iPnts.size()));
    2989. 

  2989. <a name="l02890"></a>02890                                 atS=atS*(1.0/<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>(iPnts.size()));
    2990. 

  2990. <a name="l02891"></a>02891                         }
    2991. 

  2991. <a name="l02892"></a>02892                         <span class="keywordflow">else</span>
    2992. 

  2992. <a name="l02893"></a>02893                         {
    2993. 

  2993. <a name="l02894"></a>02894                                 pnt=pnt*(1.0/weight);
    2994. 

  2994. <a name="l02895"></a>02895                                 grad=grad*(1.0/weight);
    2995. 

  2995. <a name="l02896"></a>02896                                 atS=atS*(1.0/weight);
    2996. 

  2996. <a name="l02897"></a>02897                         }
    2997. 

  2997. <a name="l02898"></a>02898 
    2998. 

  2998. <a name="l02899"></a>02899                         <span class="comment">// build the return value</span>
    2999. 

  2999. <a name="l02900"></a>02900                         retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>.x=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    3000. 

  3000. <a name="l02901"></a>02901                         retVal.<a class="code" href="classcurvePointData.html#a0eed9b95e394660b13ebab4080bc9afc">position</a>.y=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    3001. 

  3001. <a name="l02902"></a>02902                         retVal.<a class="code" href="classcurvePointData.html#a46594ff5b9f3d0b1a2c422f40113f23d">angle</a>=atan2(grad.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1),grad.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0));
    3002. 

  3002. <a name="l02903"></a>02903                         retVal.<a class="code" href="classcurvePointData.html#a8a6d5fff4e06528adf91c68e285a1edb">sEstimate</a>=atS;
    3003. 

  3003. <a name="l02904"></a>02904 
    3004. 

  3004. <a name="l02905"></a>02905                         <span class="keywordflow">return</span> retVal;
    3005. 

  3005. <a name="l02906"></a>02906                 }
    3006. 

  3006. <a name="l02907"></a>02907 
    3007. 

  3007. <a name="l02908"></a><a class="code" href="classcurve__polygon.html#aef03a3e48a8f9bd61a01ef388fb8a4d6">02908</a>                 <span class="keywordtype">void</span> <a class="code" href="classcurve__polygon.html#aef03a3e48a8f9bd61a01ef388fb8a4d6">print</a>(std::ostream&amp; out,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> cnt=240)
    3008. 

  3008. <a name="l02909"></a>02909                 {
    3009. 

  3009. <a name="l02910"></a>02910                         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> pnt;
    3010. 

  3010. <a name="l02911"></a>02911                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;=cnt;i++)
    3011. 

  3011. <a name="l02912"></a>02912                         {
    3012. 

  3012. <a name="l02913"></a>02913                                 pnt=<a class="code" href="classcurve__polygon.html#ad9e5e04a691ac5d36932df7151fec22d">getPosition</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>(i)/<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>(cnt));
    3013. 

  3013. <a name="l02914"></a>02914                                 out &lt;&lt; pnt.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a> &lt;&lt; <span class="charliteral">&#39;\t&#39;</span> &lt;&lt; pnt.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a> &lt;&lt; std::endl;
    3014. 

  3014. <a name="l02915"></a>02915                         }
    3015. 

  3015. <a name="l02916"></a>02916                 }
    3016. 

  3016. <a name="l02917"></a>02917 
    3017. 

  3017. <a name="l02918"></a><a class="code" href="classcurve__polygon.html#a164a04d076f0feb84fb89f9ad8e9438d">02918</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcurve__polygon.html#a164a04d076f0feb84fb89f9ad8e9438d">jacobian</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> s)<span class="keyword"> const</span>
    3018. 

  3018. <a name="l02919"></a>02919 <span class="keyword">                </span>{
    3019. 

  3019. <a name="l02920"></a>02920                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> <a class="code" href="namespaceTIMEALG.html#a601ffad978926698060401bb5bd9378b">grad</a>;
    3020. 

  3020. <a name="l02921"></a>02921                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at=getAt(s);
    3021. 

  3021. <a name="l02922"></a>02922                         gradient(cubics[at],s,grad);
    3022. 

  3022. <a name="l02923"></a>02923 
    3023. 

  3023. <a name="l02924"></a>02924                         <span class="keywordflow">return</span> sqrt(pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0),2.0)+pow(grad.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1),2.0));
    3024. 

  3024. <a name="l02925"></a>02925                 }
    3025. 

  3025. <a name="l02926"></a>02926 
    3026. 

  3026. <a name="l02927"></a><a class="code" href="classcurve__polygon.html#ab62141a9b166dd844a2e0f4a89381d7a">02927</a>                 <span class="keywordtype">void</span> <a class="code" href="classcurve__polygon.html#ab62141a9b166dd844a2e0f4a89381d7a">boundingBox</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xMin,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yMin,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; xMax,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; yMax)<span class="keyword"> const</span>
    3027. 

  3027. <a name="l02928"></a>02928 <span class="keyword">                </span>{
    3028. 

  3028. <a name="l02929"></a>02929                         std::list&lt;extrema&gt; xPnts;
    3029. 

  3029. <a name="l02930"></a>02930                         std::list&lt;extrema&gt; yPnts;
    3030. 

  3030. <a name="l02931"></a>02931                         <a class="code" href="classmatrixRdWtStaticVectRow__Data.html">matrixRdWtStaticVectRow_Data&lt;dataType,2&gt;</a> pnt;
    3031. 

  3031. <a name="l02932"></a>02932 
    3032. 

  3032. <a name="l02933"></a>02933                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;cubics.size();i++)
    3033. 

  3033. <a name="l02934"></a>02934                         {
    3034. 

  3034. <a name="l02935"></a>02935                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sLow;
    3035. 

  3035. <a name="l02936"></a>02936                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> sHigh;
    3036. 

  3036. <a name="l02937"></a>02937 
    3037. 

  3037. <a name="l02938"></a>02938                                 sRange(i,sLow,sHigh);
    3038. 

  3038. <a name="l02939"></a>02939                                 getExtrema(sLow,sHigh,i,xPnts,yPnts);
    3039. 

  3039. <a name="l02940"></a>02940                         }
    3040. 

  3040. <a name="l02941"></a>02941 
    3041. 

  3041. <a name="l02942"></a>02942                         <span class="keywordflow">if</span>(xPnts.size()&lt;2)
    3042. 

  3042. <a name="l02943"></a>02943                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curve_polygon::boundingBox(): Failed to find all the x extrema&quot;</span>);
    3043. 

  3043. <a name="l02944"></a>02944                         <span class="keywordflow">if</span>(yPnts.size()&lt;2)
    3044. 

  3044. <a name="l02945"></a>02945                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curve_polygon::boundingBox(): Failed to find all the y extrema&quot;</span>);
    3045. 

  3045. <a name="l02946"></a>02946 
    3046. 

  3046. <a name="l02947"></a>02947                         <span class="keyword">typename</span> std::list&lt;extrema&gt;::iterator it=xPnts.begin();
    3047. 

  3047. <a name="l02948"></a>02948                         position(cubics[it-&gt;atCurve],it-&gt;atS,pnt);
    3048. 

  3048. <a name="l02949"></a>02949                         xMin=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    3049. 

  3049. <a name="l02950"></a>02950                         xMax=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    3050. 

  3050. <a name="l02951"></a>02951                         it++;
    3051. 

  3051. <a name="l02952"></a>02952                         <span class="keywordflow">for</span>(;it!=xPnts.end();it++)
    3052. 

  3052. <a name="l02953"></a>02953                         {
    3053. 

  3053. <a name="l02954"></a>02954                                 position(cubics[it-&gt;atCurve],it-&gt;atS,pnt);
    3054. 

  3054. <a name="l02955"></a>02955                                 <span class="keywordflow">if</span>(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0)&lt;xMin)
    3055. 

  3055. <a name="l02956"></a>02956                                         xMin=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    3056. 

  3056. <a name="l02957"></a>02957                                 <span class="keywordflow">if</span>(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0)&gt;xMax)
    3057. 

  3057. <a name="l02958"></a>02958                                         xMax=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    3058. 

  3058. <a name="l02959"></a>02959                         }
    3059. 

  3059. <a name="l02960"></a>02960 
    3060. 

  3060. <a name="l02961"></a>02961                         it=yPnts.begin();
    3061. 

  3061. <a name="l02962"></a>02962                         position(cubics[it-&gt;atCurve],it-&gt;atS,pnt);
    3062. 

  3062. <a name="l02963"></a>02963                         yMin=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    3063. 

  3063. <a name="l02964"></a>02964                         yMax=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    3064. 

  3064. <a name="l02965"></a>02965                         it++;
    3065. 

  3065. <a name="l02966"></a>02966                         <span class="keywordflow">for</span>(;it!=yPnts.end();it++)
    3066. 

  3066. <a name="l02967"></a>02967                         {
    3067. 

  3067. <a name="l02968"></a>02968                                 position(cubics[it-&gt;atCurve],it-&gt;atS,pnt);
    3068. 

  3068. <a name="l02969"></a>02969                                 <span class="keywordflow">if</span>(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1)&lt;yMin)
    3069. 

  3069. <a name="l02970"></a>02970                                         yMin=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    3070. 

  3070. <a name="l02971"></a>02971                                 <span class="keywordflow">if</span>(pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1)&gt;yMax)
    3071. 

  3071. <a name="l02972"></a>02972                                         yMax=pnt.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    3072. 

  3072. <a name="l02973"></a>02973                         }
    3073. 

  3073. <a name="l02974"></a>02974                 }
    3074. 

  3074. <a name="l02975"></a>02975 
    3075. 

  3075. <a name="l02976"></a>02976 <span class="comment">//              void printCubics()</span>
    3076. 

  3076. <a name="l02977"></a>02977 <span class="comment">//              {</span>
    3077. 

  3077. <a name="l02978"></a>02978 <span class="comment">//                      dataType sLow;</span>
    3078. 

  3078. <a name="l02979"></a>02979 <span class="comment">//                      dataType sHigh;</span>
    3079. 

  3079. <a name="l02980"></a>02980 <span class="comment">// </span>
    3080. 

  3080. <a name="l02981"></a>02981 <span class="comment">//                      for(unsigned long i=0;i&lt;cubics.size();i++)</span>
    3081. 

  3081. <a name="l02982"></a>02982 <span class="comment">//                      {</span>
    3082. 

  3082. <a name="l02983"></a>02983 <span class="comment">//                              sRange(i,sLow,sHigh);</span>
    3083. 

  3083. <a name="l02984"></a>02984 <span class="comment">//                              std::cout &lt;&lt; &quot;X:\t&quot; &lt;&lt; sLow &lt;&lt; &#39;\t&#39; &lt;&lt; sHigh &lt;&lt; &#39;\t&#39; &lt;&lt; cubics[i].entry(0,0) &lt;&lt; &#39;\t&#39; &lt;&lt; cubics[i].entry(1,0) &lt;&lt; &#39;\t&#39; &lt;&lt; cubics[i].entry(2,0) &lt;&lt; &#39;\t&#39; &lt;&lt; cubics[i].entry(3,0) &lt;&lt; std::endl;</span>
    3084. 

  3084. <a name="l02985"></a>02985 <span class="comment">//                              std::cout &lt;&lt; &quot;Y:\t&quot; &lt;&lt; sLow &lt;&lt; &#39;\t&#39; &lt;&lt; sHigh &lt;&lt; &#39;\t&#39; &lt;&lt; cubics[i].entry(0,1) &lt;&lt; &#39;\t&#39; &lt;&lt; cubics[i].entry(1,1) &lt;&lt; &#39;\t&#39; &lt;&lt; cubics[i].entry(2,1) &lt;&lt; &#39;\t&#39; &lt;&lt; cubics[i].entry(3,1) &lt;&lt; std::endl;</span>
    3085. 

  3085. <a name="l02986"></a>02986 <span class="comment">//                      }</span>
    3086. 

  3086. <a name="l02987"></a>02987 <span class="comment">//              }</span>
    3087. 

  3087. <a name="l02988"></a>02988 };
    3088. 

  3088. <a name="l02989"></a>02989 
    3089. 

  3089. <a name="l02990"></a>02990 <span class="comment">// this is an abstract class in general...</span>
    3090. 

  3090. <a name="l02991"></a>02991 <span class="comment">// however it is meant to supply a family of curves that are all approximations of an offset</span>
    3091. 

  3091. <a name="l02992"></a>02992 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3092. 

  3092. <a name="l02993"></a><a class="code" href="classcurveFamily.html">02993</a> <span class="keyword">class </span><a class="code" href="classcurveFamily.html">curveFamily</a>
    3093. 

  3093. <a name="l02994"></a>02994 {
    3094. 

  3094. <a name="l02995"></a>02995         <span class="keyword">public</span>:
    3095. 

  3095. <a name="l02996"></a>02996 
    3096. 

  3096. <a name="l02997"></a><a class="code" href="classcurveFamily.html#a7158cd0b662c4f38984e7cbc1a5fe537">02997</a>                 <span class="keyword">virtual</span> <a class="code" href="classcurveFamily.html#a7158cd0b662c4f38984e7cbc1a5fe537">~curveFamily</a>()
    3097. 

  3097. <a name="l02998"></a>02998                 {}
    3098. 

  3098. <a name="l02999"></a>02999 
    3099. 

  3099. <a name="l03000"></a>03000                 <span class="comment">// creates new offset curves using the new command ** needs to be deleted **</span>
    3100. 

  3100. <a name="l03001"></a>03001                 <span class="keyword">virtual</span> <a class="code" href="classcurve.html">curve&lt;dataType&gt;</a>* <a class="code" href="classcurveFamily.html#a2cb814258325371060895d143b49cc4c">getCurve</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> offsetDist)=0;
    3101. 

  3101. <a name="l03002"></a>03002 
    3102. 

  3102. <a name="l03003"></a>03003                 <span class="comment">// returns the largest value of offsetDist that would still be valid</span>
    3103. 

  3103. <a name="l03004"></a>03004                 <span class="keyword">virtual</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcurveFamily.html#a4b0c63f6fedb17691750305af924069f">maximumOffset</a>()=0;
    3104. 

  3104. <a name="l03005"></a>03005 };
    3105. 

  3105. <a name="l03006"></a>03006 
    3106. 

  3106. <a name="l03007"></a>03007 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3107. 

  3107. <a name="l03008"></a><a class="code" href="classcurveFamily__curveApproxPolygon.html">03008</a> <span class="keyword">class </span><a class="code" href="classcurveFamily__curveApproxPolygon.html">curveFamily_curveApproxPolygon</a> : <span class="keyword">public</span> <a class="code" href="classcurveFamily.html">curveFamily</a>&lt;dataType&gt;
    3108. 

  3108. <a name="l03009"></a>03009 {
    3109. 

  3109. <a name="l03010"></a>03010         <span class="keyword">private</span>:
    3110. 

  3110. <a name="l03011"></a>03011 
    3111. 

  3111. <a name="l03012"></a>03012                 <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;</a>* polyApprox;
    3112. 

  3112. <a name="l03013"></a>03013                 <span class="keywordtype">bool</span> deletePolyApprox;
    3113. 

  3113. <a name="l03014"></a>03014 
    3114. 

  3114. <a name="l03015"></a>03015         <span class="keyword">public</span>:
    3115. 

  3115. <a name="l03016"></a>03016 
    3116. 

  3116. <a name="l03017"></a><a class="code" href="classcurveFamily__curveApproxPolygon.html#ae2454a9f670b15019f303bc8630ca98d">03017</a>                 <a class="code" href="classcurveFamily__curveApproxPolygon.html#ae2454a9f670b15019f303bc8630ca98d">curveFamily_curveApproxPolygon</a>(<a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;</a>* polyApprox_in=NULL,<span class="keywordtype">bool</span> deletePolyApprox_in=<span class="keyword">false</span>) : polyApprox(polyApprox_in) , deletePolyApprox(deletePolyApprox_in)
    3117. 

  3117. <a name="l03018"></a>03018                 {}
    3118. 

  3118. <a name="l03019"></a>03019 
    3119. 

  3119. <a name="l03020"></a><a class="code" href="classcurveFamily__curveApproxPolygon.html#a8dc6c5c086bd67c663ed0d4f97a5c19e">03020</a>                 <span class="keyword">virtual</span> <a class="code" href="classcurveFamily__curveApproxPolygon.html#a8dc6c5c086bd67c663ed0d4f97a5c19e">~curveFamily_curveApproxPolygon</a>()
    3120. 

  3120. <a name="l03021"></a>03021                 {
    3121. 

  3121. <a name="l03022"></a>03022                         <span class="keywordflow">if</span>(deletePolyApprox &amp;&amp; polyApprox!=NULL)
    3122. 

  3122. <a name="l03023"></a>03023                                 <span class="keyword">delete</span> polyApprox;
    3123. 

  3123. <a name="l03024"></a>03024                 }
    3124. 

  3124. <a name="l03025"></a>03025 
    3125. 

  3125. <a name="l03026"></a>03026                 <span class="comment">// creates new offset curves using the new command ** needs to be deleted **</span>
    3126. 

  3126. <a name="l03027"></a><a class="code" href="classcurveFamily__curveApproxPolygon.html#ae46d3491ae3d8aa8ec0c9715a2b54081">03027</a>                 <a class="code" href="classcurve.html">curve&lt;dataType&gt;</a>* <a class="code" href="classcurveFamily__curveApproxPolygon.html#ae46d3491ae3d8aa8ec0c9715a2b54081">getCurve</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> offsetDist)
    3127. 

  3127. <a name="l03028"></a>03028                 {
    3128. 

  3128. <a name="l03029"></a>03029                         <span class="keywordflow">if</span>(polyApprox==NULL)
    3129. 

  3129. <a name="l03030"></a>03030                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curveFamily_curveApproxPolygon::getCurve(): The polyApprox has not been set&quot;</span>);
    3130. 

  3130. <a name="l03031"></a>03031                         <a class="code" href="classcurve__polygon.html">curve_polygon&lt;dataType&gt;</a>* crv=<span class="keyword">new</span> <a class="code" href="classcurve__polygon.html">curve_polygon&lt;dataType&gt;</a>(polyApprox-&gt;offset(offsetDist));
    3131. 

  3131. <a name="l03032"></a>03032 <span class="comment">// crv-&gt;printCubics();</span>
    3132. 

  3132. <a name="l03033"></a>03033                         <span class="keywordflow">return</span> crv;
    3133. 

  3133. <a name="l03034"></a>03034                 }
    3134. 

  3134. <a name="l03035"></a>03035 
    3135. 

  3135. <a name="l03036"></a><a class="code" href="classcurveFamily__curveApproxPolygon.html#a6f0f9e1c1064de05b73a27b4e9d87062">03036</a>                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classcurveFamily__curveApproxPolygon.html#a6f0f9e1c1064de05b73a27b4e9d87062">maximumOffset</a>()
    3136. 

  3136. <a name="l03037"></a>03037                 {
    3137. 

  3137. <a name="l03038"></a>03038                         <span class="keywordflow">if</span>(polyApprox==NULL)
    3138. 

  3138. <a name="l03039"></a>03039                                 <span class="keywordflow">throw</span> <a class="code" href="classeMsg.html">eMsg</a>(<span class="stringliteral">&quot;curveFamily_curveApproxPolygon::maximumOffset(): The polyApprox has not been set&quot;</span>);
    3139. 

  3139. <a name="l03040"></a>03040                         <span class="keywordflow">return</span> polyApprox-&gt;maxH();
    3140. 

  3140. <a name="l03041"></a>03041                 }
    3141. 

  3141. <a name="l03042"></a>03042 };
    3142. 

  3142. <a name="l03043"></a>03043 
    3143. 

  3143. <a name="l03044"></a>03044 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3144. 

  3144. <a name="l03045"></a>03045 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::getBisect</a>(<span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; at)<span class="keyword"> const</span>
    3145. 

  3145. <a name="l03046"></a>03046 <span class="keyword"></span>{
    3146. 

  3146. <a name="l03047"></a>03047         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at_0=wrapIndex(at,-1);
    3147. 

  3147. <a name="l03048"></a>03048         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at_1=wrapIndex(at,0);
    3148. 

  3148. <a name="l03049"></a>03049         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at_2=wrapIndex(at,1);
    3149. 

  3149. <a name="l03050"></a>03050         <span class="comment">// Get the normals for each segment</span>
    3150. 

  3150. <a name="l03051"></a>03051         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> n0=(data-&gt;pnts[at_1]-data-&gt;pnts[at_0]).normal().<a class="code" href="classplanePoint.html#ae5d6aa1d23ecf2463092f5f9b506ceab">unit</a>();
    3151. 

  3151. <a name="l03052"></a>03052         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> n1=(data-&gt;pnts[at_2]-data-&gt;pnts[at_1]).normal().<a class="code" href="classplanePoint.html#ae5d6aa1d23ecf2463092f5f9b506ceab">unit</a>();
    3152. 

  3152. <a name="l03053"></a>03053         <span class="comment">// find the bisecting vector</span>
    3153. 

  3153. <a name="l03054"></a>03054         <span class="keywordflow">return</span> (n0+n1).unit();
    3154. 

  3154. <a name="l03055"></a>03055 }
    3155. 

  3155. <a name="l03056"></a>03056 
    3156. 

  3156. <a name="l03057"></a>03057 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3157. 

  3157. <a name="l03058"></a>03058 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::bisectScale</a>(<span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; at)<span class="keyword"> const</span>
    3158. 

  3158. <a name="l03059"></a>03059 <span class="keyword"></span>{
    3159. 

  3159. <a name="l03060"></a>03060         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> delta0=(data-&gt;pnts[wrapIndex(at,0)]-data-&gt;pnts[wrapIndex(at,-1)]).<a class="code" href="vector_01functions_8cpp.html#afec438cdf97f2f58378c6765f0871568">unit</a>();
    3160. 

  3160. <a name="l03061"></a>03061         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> norm0=delta0.<a class="code" href="classplanePoint.html#aed6dba70319518809f361942b41d716f">normal</a>().unit();
    3161. 

  3161. <a name="l03062"></a>03062 
    3162. 

  3162. <a name="l03063"></a>03063         <span class="keywordflow">return</span> 1.0/((this-&gt;getBisect(at)).<a class="code" href="vector_01functions_8cpp.html#a13c7499151a59c9cbb0c4813b549b27d">dot</a>(norm0));
    3163. 

  3163. <a name="l03064"></a>03064 }
    3164. 

  3164. <a name="l03065"></a>03065 
    3165. 

  3165. <a name="l03066"></a>03066 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3166. 

  3166. <a name="l03067"></a>03067 <a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">approxOffset&lt;dataType&gt;::topoCollapse::topoCollapse</a>()
    3167. 

  3167. <a name="l03068"></a>03068 {
    3168. 

  3168. <a name="l03069"></a>03069         valid=<span class="keyword">false</span>;
    3169. 

  3169. <a name="l03070"></a>03070         h=0.0;
    3170. 

  3170. <a name="l03071"></a>03071         at_0=0;
    3171. 

  3171. <a name="l03072"></a>03072         at_1=0;
    3172. 

  3172. <a name="l03073"></a>03073         b0=<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(0.0,0.0);
    3173. 

  3173. <a name="l03074"></a>03074         b1=<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(0.0,0.0);
    3174. 

  3174. <a name="l03075"></a>03075         meet=<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(0.0,0.0);
    3175. 

  3175. <a name="l03076"></a>03076 }
    3176. 

  3176. <a name="l03077"></a>03077 
    3177. 

  3177. <a name="l03078"></a>03078 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3178. 

  3178. <a name="l03079"></a>03079 <a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">approxOffset&lt;dataType&gt;::topoCollapse::topoCollapse</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> edge,std::vector&lt;<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> &gt;&amp; pntsTmp,<span class="keyword">const</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;</a>&amp; pLine)
    3179. 

  3179. <a name="l03080"></a>03080 {
    3180. 

  3180. <a name="l03081"></a>03081         at_0=pLine.wrapIndex(edge,0);
    3181. 

  3181. <a name="l03082"></a>03082         at_1=pLine.wrapIndex(edge,1);
    3182. 

  3182. <a name="l03083"></a>03083         <span class="comment">// find the bisecting vector</span>
    3183. 

  3183. <a name="l03084"></a>03084         b0=pLine.getBisect(at_0);
    3184. 

  3184. <a name="l03085"></a>03085         b1=pLine.getBisect(at_1);
    3185. 

  3185. <a name="l03086"></a>03086         <span class="comment">// check to see if the bisectors are parallel</span>
    3186. 

  3186. <a name="l03087"></a>03087         valid=(b0.cross(b1)!=0.0);
    3187. 

  3187. <a name="l03088"></a>03088         <span class="comment">// determine meet and h</span>
    3188. 

  3188. <a name="l03089"></a>03089         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> s=pntsTmp[at_1]-pntsTmp[at_0];
    3189. 

  3189. <a name="l03090"></a>03090         meet=pntsTmp[at_0]+b0*(s.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>*b1.x-s.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>*b1.y)/(b0.y*b1.x-b1.y*b0.x);
    3190. 

  3190. <a name="l03091"></a>03091         h=((s.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>*b1.x-s.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>*b1.y)*(s.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>*b0.y-s.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>*b0.x))/(s.<a class="code" href="classplanePoint.html#a71e47c23ee1607864e54c100533e4333">length</a>()*(b0.y*b1.x-b1.y*b0.x));
    3191. 

  3191. <a name="l03092"></a>03092 }
    3192. 

  3192. <a name="l03093"></a>03093 
    3193. 

  3193. <a name="l03094"></a>03094 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3194. 

  3194. <a name="l03095"></a>03095 <a class="code" href="classapproxOffset.html#a4f2e3421656c126521a32f9b1319cea9">approxOffset&lt;dataType&gt;::topoCollapse::topoCollapse</a>(<span class="keyword">const</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::topoCollapse</a>&amp; asg)
    3195. 

  3195. <a name="l03096"></a>03096 {
    3196. 

  3196. <a name="l03097"></a>03097         *<span class="keyword">this</span>=asg;
    3197. 

  3197. <a name="l03098"></a>03098 }
    3198. 

  3198. <a name="l03099"></a>03099 
    3199. 

  3199. <a name="l03100"></a>03100 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3200. 

  3200. <a name="l03101"></a>03101 <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::topoCollapse::~topoCollapse</a>()
    3201. 

  3201. <a name="l03102"></a>03102 {}
    3202. 

  3202. <a name="l03103"></a>03103 
    3203. 

  3203. <a name="l03104"></a>03104 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3204. 

  3204. <a name="l03105"></a>03105 <span class="keyword">typename</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::topoCollapse</a>&amp; <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::topoCollapse::operator=</a>(<span class="keyword">const</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::topoCollapse</a>&amp; asg)
    3205. 

  3205. <a name="l03106"></a>03106 {
    3206. 

  3206. <a name="l03107"></a>03107         this-&gt;h=asg.h;
    3207. 

  3207. <a name="l03108"></a>03108         this-&gt;at_0=asg.at_0;
    3208. 

  3208. <a name="l03109"></a>03109         this-&gt;at_1=asg.at_1;
    3209. 

  3209. <a name="l03110"></a>03110         this-&gt;b0=asg.b0;
    3210. 

  3210. <a name="l03111"></a>03111         this-&gt;b1=asg.b1;
    3211. 

  3211. <a name="l03112"></a>03112         this-&gt;meet=asg.meet;
    3212. 

  3212. <a name="l03113"></a>03113         this-&gt;valid=asg.valid;
    3213. 

  3213. <a name="l03114"></a>03114         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    3214. 

  3214. <a name="l03115"></a>03115 }
    3215. 

  3215. <a name="l03116"></a>03116 
    3216. 

  3216. <a name="l03117"></a>03117 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3217. 

  3217. <a name="l03118"></a>03118 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::wrapIndex</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at,<span class="keywordtype">long</span> offset)<span class="keyword"> const</span>
    3218. 

  3218. <a name="l03119"></a>03119 <span class="keyword"></span>{
    3219. 

  3219. <a name="l03120"></a>03120         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> size;
    3220. 

  3220. <a name="l03121"></a>03121         <span class="keywordflow">if</span>(data==NULL)
    3221. 

  3221. <a name="l03122"></a>03122                 size=segments.<a class="code" href="classapproxOffset.html#a7a9ce7ef4356bf96465ef66cc1b1eecc">size</a>();
    3222. 

  3222. <a name="l03123"></a>03123         <span class="keywordflow">else</span>
    3223. 

  3223. <a name="l03124"></a>03124                 size=data-&gt;pnts.size();
    3224. 

  3224. <a name="l03125"></a>03125         <span class="keywordflow">if</span>(offset&lt;0)
    3225. 

  3225. <a name="l03126"></a>03126         {
    3226. 

  3226. <a name="l03127"></a>03127                 offset=-((-offset)%size);
    3227. 

  3227. <a name="l03128"></a>03128                 offset+=size;
    3228. 

  3228. <a name="l03129"></a>03129         }
    3229. 

  3229. <a name="l03130"></a>03130         <span class="keywordflow">return</span> (at+offset)%size;
    3230. 

  3230. <a name="l03131"></a>03131 }
    3231. 

  3231. <a name="l03132"></a>03132 
    3232. 

  3232. <a name="l03133"></a>03133 <span class="comment">// removes points</span>
    3233. 

  3233. <a name="l03134"></a>03134 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3234. 

  3234. <a name="l03135"></a>03135 <span class="keywordtype">void</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::removePoints</a>(std::vector&lt;unsigned long&gt;&amp; indices)
    3235. 

  3235. <a name="l03136"></a>03136 {
    3236. 

  3236. <a name="l03137"></a>03137         <span class="comment">// this function we need to add a whole bunch of logic to properly remove the points and maps</span>
    3237. 

  3237. <a name="l03138"></a>03138         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> index;
    3238. 

  3238. <a name="l03139"></a>03139         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;indices.size();i++)
    3239. 

  3239. <a name="l03140"></a>03140         {
    3240. 

  3240. <a name="l03141"></a>03141                 index=indices[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>];
    3241. 

  3241. <a name="l03142"></a>03142                 segments[data-&gt;segMap[index]].addEvent(data-&gt;atH,0.0);
    3242. 

  3242. <a name="l03143"></a>03143                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=index;j&lt;(data-&gt;pnts.size()-1);j++)
    3243. 

  3243. <a name="l03144"></a>03144                 {
    3244. 

  3244. <a name="l03145"></a>03145                         data-&gt;pnts[j]=data-&gt;pnts[j+1];
    3245. 

  3245. <a name="l03146"></a>03146                         data-&gt;segMap[j]=data-&gt;segMap[j+1];
    3246. 

  3246. <a name="l03147"></a>03147                 }
    3247. 

  3247. <a name="l03148"></a>03148                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=i+1;j&lt;indices.size();j++)
    3248. 

  3248. <a name="l03149"></a>03149                 {
    3249. 

  3249. <a name="l03150"></a>03150                         <span class="keywordflow">if</span>(indices[j]&gt;index)
    3250. 

  3250. <a name="l03151"></a>03151                                 indices[j]--;
    3251. 

  3251. <a name="l03152"></a>03152                 }
    3252. 

  3252. <a name="l03153"></a>03153         }
    3253. 

  3253. <a name="l03154"></a>03154         data-&gt;pnts.<a class="code" href="classapproxOffset.html#a463dab75995fd25c23da5b7ebbd59388">resize</a>(data-&gt;pnts.size()-indices.size());
    3254. 

  3254. <a name="l03155"></a>03155         data-&gt;segMap.resize(data-&gt;segMap.size()-indices.size());
    3255. 

  3255. <a name="l03156"></a>03156 }
    3256. 

  3256. <a name="l03157"></a>03157 
    3257. 

  3257. <a name="l03158"></a>03158 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3258. 

  3258. <a name="l03159"></a>03159 <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::getSegVect</a>(<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> start,<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> end)
    3259. 

  3259. <a name="l03160"></a>03160 {
    3260. 

  3260. <a name="l03161"></a>03161         <span class="keywordflow">return</span> <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a>(start,end-start);
    3261. 

  3261. <a name="l03162"></a>03162 }
    3262. 

  3262. <a name="l03163"></a>03163 
    3263. 

  3263. <a name="l03164"></a>03164 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3264. 

  3264. <a name="l03165"></a>03165 <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::getSegVect</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> at)
    3265. 

  3265. <a name="l03166"></a>03166 {
    3266. 

  3266. <a name="l03167"></a>03167         at=wrapIndex(at,0);
    3267. 

  3267. <a name="l03168"></a>03168         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> atEnd=at+1;
    3268. 

  3268. <a name="l03169"></a>03169         <span class="keywordflow">if</span>(atEnd==data-&gt;pnts.size())
    3269. 

  3269. <a name="l03170"></a>03170                 atEnd=0;
    3270. 

  3270. <a name="l03171"></a>03171         <span class="keywordflow">return</span> getSegVect(data-&gt;pnts[wrapIndex(at,0)],data-&gt;pnts[wrapIndex(at,1)]);
    3271. 

  3271. <a name="l03172"></a>03172 }
    3272. 

  3272. <a name="l03173"></a>03173 
    3273. 

  3273. <a name="l03174"></a>03174 <span class="comment">// Need to give the offset and the new topology</span>
    3274. 

  3274. <a name="l03175"></a>03175 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3275. 

  3275. <a name="l03176"></a>03176 <span class="keywordtype">void</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::nextCollapse</a>(<span class="keywordtype">bool</span>&amp; isPos,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; minH,std::vector&lt;<a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::topoCollapse</a>&gt; &amp;topoClps,<span class="keywordtype">bool</span>&amp; isNeg,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; minNegH,std::vector&lt;<a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::topoCollapse</a>&gt; &amp;negTopoClps)
    3276. 

  3276. <a name="l03177"></a>03177 {
    3277. 

  3277. <a name="l03178"></a>03178         <span class="comment">// init</span>
    3278. 

  3278. <a name="l03179"></a>03179         isPos=<span class="keyword">false</span>;
    3279. 

  3279. <a name="l03180"></a>03180         minH=0.0;
    3280. 

  3280. <a name="l03181"></a>03181         topoClps=std::vector&lt;typename approxOffset&lt;dataType&gt;::topoCollapse&gt;(0);
    3281. 

  3281. <a name="l03182"></a>03182         isNeg=<span class="keyword">false</span>;
    3282. 

  3282. <a name="l03183"></a>03183         minNegH=0.0;
    3283. 

  3283. <a name="l03184"></a>03184         negTopoClps=std::vector&lt;typename approxOffset&lt;dataType&gt;::topoCollapse&gt;(0);
    3284. 

  3284. <a name="l03185"></a>03185         <span class="comment">// loop through all the edges</span>
    3285. 

  3285. <a name="l03186"></a>03186         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;pnts.size();i++)
    3286. 

  3286. <a name="l03187"></a>03187         {
    3287. 

  3287. <a name="l03188"></a>03188                 <span class="keyword">typename</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::topoCollapse</a> tst(i,data-&gt;pnts,*<span class="keyword">this</span>);
    3288. 

  3288. <a name="l03189"></a>03189                 <span class="keywordflow">if</span>(tst.valid)
    3289. 

  3289. <a name="l03190"></a>03190                 {
    3290. 

  3290. <a name="l03191"></a>03191                         <span class="keywordflow">if</span>(tst.h&gt;0.0)
    3291. 

  3291. <a name="l03192"></a>03192                         {
    3292. 

  3292. <a name="l03193"></a>03193                                 <span class="keywordflow">if</span>(!isPos || tst.h&lt;minH)
    3293. 

  3293. <a name="l03194"></a>03194                                 {
    3294. 

  3294. <a name="l03195"></a>03195                                         isPos=<span class="keyword">true</span>;
    3295. 

  3295. <a name="l03196"></a>03196                                         minH=tst.h;
    3296. 

  3296. <a name="l03197"></a>03197                                         topoClps=std::vector&lt;typename approxOffset&lt;dataType&gt;::topoCollapse&gt;(1,tst);
    3297. 

  3297. <a name="l03198"></a>03198                                 }
    3298. 

  3298. <a name="l03199"></a>03199                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(isPos &amp;&amp; tst.h==minH)
    3299. 

  3299. <a name="l03200"></a>03200                                 {
    3300. 

  3300. <a name="l03201"></a>03201                                         topoClps.resize(topoClps.size()+1,tst);
    3301. 

  3301. <a name="l03202"></a>03202                                 }
    3302. 

  3302. <a name="l03203"></a>03203                         }
    3303. 

  3303. <a name="l03204"></a>03204                         <span class="keywordflow">else</span>
    3304. 

  3304. <a name="l03205"></a>03205                         {
    3305. 

  3305. <a name="l03206"></a>03206                                 <span class="keywordflow">if</span>(!isNeg || tst.h&gt;minNegH)
    3306. 

  3306. <a name="l03207"></a>03207                                 {
    3307. 

  3307. <a name="l03208"></a>03208                                         isNeg=<span class="keyword">true</span>;
    3308. 

  3308. <a name="l03209"></a>03209                                         minNegH=tst.h;
    3309. 

  3309. <a name="l03210"></a>03210                                         negTopoClps=std::vector&lt;typename approxOffset&lt;dataType&gt;::topoCollapse&gt;(1,tst);
    3310. 

  3310. <a name="l03211"></a>03211                                 }
    3311. 

  3311. <a name="l03212"></a>03212                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(isNeg &amp;&amp; tst.h==minNegH)
    3312. 

  3312. <a name="l03213"></a>03213                                 {
    3313. 

  3313. <a name="l03214"></a>03214                                         negTopoClps.resize(negTopoClps.size()+1,tst);
    3314. 

  3314. <a name="l03215"></a>03215                                 }
    3315. 

  3315. <a name="l03216"></a>03216                         }
    3316. 

  3316. <a name="l03217"></a>03217                 }
    3317. 

  3317. <a name="l03218"></a>03218         }
    3318. 

  3318. <a name="l03219"></a>03219         <span class="keywordflow">return</span>;
    3319. 

  3319. <a name="l03220"></a>03220 }
    3320. 

  3320. <a name="l03221"></a>03221 
    3321. 

  3321. <a name="l03222"></a>03222 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3322. 

  3322. <a name="l03223"></a>03223 <span class="keywordtype">bool</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::testSplit</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> vertex,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> segment,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; h)
    3323. 

  3323. <a name="l03224"></a>03224 {
    3324. 

  3324. <a name="l03225"></a>03225         <span class="comment">// ######################################</span>
    3325. 

  3325. <a name="l03226"></a>03226         <span class="comment">// Gather some basic geometric information about locations and orientations</span>
    3326. 

  3326. <a name="l03227"></a>03227         <span class="comment">// ######################################</span>
    3327. 

  3327. <a name="l03228"></a>03228 
    3328. 

  3328. <a name="l03229"></a>03229         <span class="comment">// extract points</span>
    3329. 

  3329. <a name="l03230"></a>03230         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> p0=data-&gt;pnts[vertex];
    3330. 

  3330. <a name="l03231"></a>03231         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> p2=data-&gt;pnts[segment];
    3331. 

  3331. <a name="l03232"></a>03232         <span class="comment">// build delta vectors</span>
    3332. 

  3332. <a name="l03233"></a>03233         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> delta0=(p0-data-&gt;pnts[wrapIndex(vertex,-1)]).<a class="code" href="vector_01functions_8cpp.html#afec438cdf97f2f58378c6765f0871568">unit</a>();
    3333. 

  3333. <a name="l03234"></a>03234         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> delta1=(data-&gt;pnts[wrapIndex(vertex,1)]-p0).<a class="code" href="vector_01functions_8cpp.html#afec438cdf97f2f58378c6765f0871568">unit</a>();
    3334. 

  3334. <a name="l03235"></a>03235         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> endPnt=data-&gt;pnts[wrapIndex(segment,1)];
    3335. 

  3335. <a name="l03236"></a>03236         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> delta2=(endPnt-p2).<a class="code" href="vector_01functions_8cpp.html#afec438cdf97f2f58378c6765f0871568">unit</a>();
    3336. 

  3336. <a name="l03237"></a>03237         <span class="comment">// find normal vectors</span>
    3337. 

  3337. <a name="l03238"></a>03238         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> norm0=delta0.<a class="code" href="classplanePoint.html#aed6dba70319518809f361942b41d716f">normal</a>().unit();
    3338. 

  3338. <a name="l03239"></a>03239         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> norm1=delta1.<a class="code" href="classplanePoint.html#aed6dba70319518809f361942b41d716f">normal</a>().unit();
    3339. 

  3339. <a name="l03240"></a>03240         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> <a class="code" href="vector_01functions_8cpp.html#a9c3c2fd60a51fdcec1668fc036b4a41c">norm2</a>=delta2.<a class="code" href="classplanePoint.html#aed6dba70319518809f361942b41d716f">normal</a>().unit();
    3340. 

  3340. <a name="l03241"></a>03241         <span class="comment">// test if the vertex touches before the surfaces</span>
    3341. 

  3341. <a name="l03242"></a>03242         <span class="keywordflow">if</span>((norm0.<a class="code" href="classplanePoint.html#ac11da6a78e63c26f603668cc7c9c2342">cross</a>(-norm2)*(-<a class="code" href="vector_01functions_8cpp.html#a9c3c2fd60a51fdcec1668fc036b4a41c">norm2</a>).<a class="code" href="vector_01functions_8cpp.html#a0881962290c575e179efea1532ba31fa">cross</a>(norm1))&lt;=0.0)
    3342. 

  3342. <a name="l03243"></a>03243                 <span class="keywordflow">return</span> <span class="keyword">false</span>;
    3343. 

  3343. <a name="l03244"></a>03244 
    3344. 

  3344. <a name="l03245"></a>03245         <span class="comment">// ######################################</span>
    3345. 

  3345. <a name="l03246"></a>03246         <span class="comment">// Now we solve the triple point where all surfaces meet</span>
    3346. 

  3346. <a name="l03247"></a>03247         <span class="comment">// ######################################</span>
    3347. 

  3347. <a name="l03248"></a>03248 
    3348. 

  3348. <a name="l03249"></a>03249         <span class="comment">// build matrix</span>
    3349. 

  3349. <a name="l03250"></a>03250         <a class="code" href="classmatrixRdWtStaticSqr__Data.html">matrixRdWtStaticSqr_Data&lt;dataType,6&gt;</a> <a class="code" href="timoshenko_8cpp.html#ac5eb09f63c828d8b858cf5c18eabfe8a">A</a>=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,6,6&gt;</a>();
    3350. 

  3350. <a name="l03251"></a>03251         <a class="code" href="classmatrixRdWtStaticVectCol__Data.html">matrixRdWtStaticVectCol_Data&lt;dataType,6&gt;</a> <a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>=<a class="code" href="classmatrixStatic__Zero.html">matrixStatic_Zero&lt;dataType,6,1&gt;</a>();
    3351. 

  3351. <a name="l03252"></a>03252         <span class="comment">// add delta entries</span>
    3352. 

  3352. <a name="l03253"></a>03253         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,0)=delta0.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>;
    3353. 

  3353. <a name="l03254"></a>03254         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,0)=delta0.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>;
    3354. 

  3354. <a name="l03255"></a>03255         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,1)=delta1.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>;
    3355. 

  3355. <a name="l03256"></a>03256         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,1)=delta1.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>;
    3356. 

  3356. <a name="l03257"></a>03257         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,2)=delta2.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>;
    3357. 

  3357. <a name="l03258"></a>03258         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,2)=delta2.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>;
    3358. 

  3358. <a name="l03259"></a>03259         <span class="comment">// add normal entries</span>
    3359. 

  3359. <a name="l03260"></a>03260         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,3)=norm0.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>;
    3360. 

  3360. <a name="l03261"></a>03261         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,3)=norm0.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>;
    3361. 

  3361. <a name="l03262"></a>03262         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,3)=norm1.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>;
    3362. 

  3362. <a name="l03263"></a>03263         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,3)=norm1.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>;
    3363. 

  3363. <a name="l03264"></a>03264         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,3)=norm2.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>;
    3364. 

  3364. <a name="l03265"></a>03265         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,3)=norm2.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>;
    3365. 

  3365. <a name="l03266"></a>03266         <span class="comment">// add center</span>
    3366. 

  3366. <a name="l03267"></a>03267         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(0,4)=-1.0;
    3367. 

  3367. <a name="l03268"></a>03268         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,5)=-1.0;
    3368. 

  3368. <a name="l03269"></a>03269         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,4)=-1.0;
    3369. 

  3369. <a name="l03270"></a>03270         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,5)=-1.0;
    3370. 

  3370. <a name="l03271"></a>03271         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,4)=-1.0;
    3371. 

  3371. <a name="l03272"></a>03272         A.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,5)=-1.0;
    3372. 

  3372. <a name="l03273"></a>03273         <span class="comment">// test if there is a solution</span>
    3373. 

  3373. <a name="l03274"></a>03274         <span class="keywordflow">if</span>(A.<a class="code" href="classmatrixSqr.html#a21b5977b0d70c9302e6da7ce584f45c1">det</a>()==0.0)
    3374. 

  3374. <a name="l03275"></a>03275                 <span class="keywordflow">return</span> <span class="keyword">false</span>;
    3375. 

  3375. <a name="l03276"></a>03276         <span class="comment">// populate the B vector</span>
    3376. 

  3376. <a name="l03277"></a>03277         B.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(0)=-p0.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>;
    3377. 

  3377. <a name="l03278"></a>03278         B.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(1)=-p0.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>;
    3378. 

  3378. <a name="l03279"></a>03279         B.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(2)=-p0.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>;
    3379. 

  3379. <a name="l03280"></a>03280         B.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(3)=-p0.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>;
    3380. 

  3380. <a name="l03281"></a>03281         B.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(4)=-p2.<a class="code" href="classplanePoint.html#aa74fa1087ea6d64336c8bf9f8f4e9c6c">x</a>;
    3381. 

  3381. <a name="l03282"></a>03282         B.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(5)=-p2.<a class="code" href="classplanePoint.html#aaf99f5b126fa4b299ef00b308d5a10ed">y</a>;
    3382. 

  3382. <a name="l03283"></a>03283         <span class="comment">// solve the problem</span>
    3383. 

  3383. <a name="l03284"></a>03284         <a class="code" href="classmatrixRdWtStaticVectCol__Data.html">matrixRdWtStaticVectCol_Data&lt;dataType,6&gt;</a> X=A.<a class="code" href="classmatrixSqr.html#a991ebad568b11587f75c85cc3b8da408">inverse</a>()*<a class="code" href="timoshenko_8cpp.html#a8edcb78651b9b4807e1de4008fe949c4">B</a>;
    3384. 

  3384. <a name="l03285"></a>03285         <span class="comment">// test if it is a reflex vertex</span>
    3385. 

  3385. <a name="l03286"></a>03286         <span class="keywordflow">if</span>( X.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(0)&lt;0.0 || X.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(1)&gt;0.0 )
    3386. 

  3386. <a name="l03287"></a>03287                 <span class="keywordflow">return</span> <span class="keyword">false</span>;
    3387. 

  3387. <a name="l03288"></a>03288         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> center=<a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a>(X.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(4),X.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(5));
    3388. 

  3388. <a name="l03289"></a>03289 
    3389. 

  3389. <a name="l03290"></a>03290         <span class="comment">// ######################################</span>
    3390. 

  3390. <a name="l03291"></a>03291         <span class="comment">// Now we test the solution to determine if it is within bisectors</span>
    3391. 

  3391. <a name="l03292"></a>03292         <span class="comment">// ######################################</span>
    3392. 

  3392. <a name="l03293"></a>03293 
    3393. 

  3393. <a name="l03294"></a>03294         <span class="comment">// Now we get the bisectors</span>
    3394. 

  3394. <a name="l03295"></a>03295         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> bisectBack=this-&gt;getBisect(wrapIndex(segment,0));
    3395. 

  3395. <a name="l03296"></a>03296         <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> bisectFront=this-&gt;getBisect(wrapIndex(segment,1));
    3396. 

  3396. <a name="l03297"></a>03297         <span class="comment">// test if center falls within the bisectors</span>
    3397. 

  3397. <a name="l03298"></a>03298         <span class="keywordflow">if</span>(bisectBack.<a class="code" href="classplanePoint.html#ac11da6a78e63c26f603668cc7c9c2342">cross</a>(center-p2)&gt;0.0)
    3398. 

  3398. <a name="l03299"></a>03299                 <span class="keywordflow">return</span> <span class="keyword">false</span>;
    3399. 

  3399. <a name="l03300"></a>03300         <span class="keywordflow">if</span>((center-endPnt).cross(bisectFront)&gt;0.0)
    3400. 

  3400. <a name="l03301"></a>03301                 <span class="keywordflow">return</span> <span class="keyword">false</span>;
    3401. 

  3401. <a name="l03302"></a>03302         h=X.<a class="code" href="classmatrixVect.html#adb2ffeb4b912280fe62e0d0b46189eca">entry</a>(3);
    3402. 

  3402. <a name="l03303"></a>03303         <span class="keywordflow">return</span> <span class="keyword">true</span>;
    3403. 

  3403. <a name="l03304"></a>03304 }
    3404. 

  3404. <a name="l03305"></a>03305 
    3405. 

  3405. <a name="l03306"></a>03306 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3406. 

  3406. <a name="l03307"></a>03307 <span class="keywordtype">bool</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::seekSplit</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> vertex,<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; segment,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; h)
    3407. 

  3407. <a name="l03308"></a>03308 {
    3408. 

  3408. <a name="l03309"></a>03309         <span class="keywordtype">bool</span> splitFnd=<span class="keyword">false</span>;
    3409. 

  3409. <a name="l03310"></a>03310         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> hTst;
    3410. 

  3410. <a name="l03311"></a>03311 
    3411. 

  3411. <a name="l03312"></a>03312         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;pnts.size();i++)
    3412. 

  3412. <a name="l03313"></a>03313         {
    3413. 

  3413. <a name="l03314"></a>03314                 <span class="keywordflow">if</span>(wrapIndex(vertex,0)!=wrapIndex(i,0) &amp;&amp; wrapIndex(vertex,0)!=wrapIndex(i,1))
    3414. 

  3414. <a name="l03315"></a>03315                 {
    3415. 

  3415. <a name="l03316"></a>03316                         <span class="keywordflow">if</span>(testSplit(vertex,i,hTst) &amp;&amp; (!splitFnd || fabs(hTst)&lt;fabs(h)))
    3416. 

  3416. <a name="l03317"></a>03317                         {
    3417. 

  3417. <a name="l03318"></a>03318                                 segment=<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>;
    3418. 

  3418. <a name="l03319"></a>03319                                 h=hTst;
    3419. 

  3419. <a name="l03320"></a>03320                                 splitFnd=<span class="keyword">true</span>;
    3420. 

  3420. <a name="l03321"></a>03321                         }
    3421. 

  3421. <a name="l03322"></a>03322                 }
    3422. 

  3422. <a name="l03323"></a>03323         }
    3423. 

  3423. <a name="l03324"></a>03324         <span class="keywordflow">return</span> splitFnd;
    3424. 

  3424. <a name="l03325"></a>03325 }
    3425. 

  3425. <a name="l03326"></a>03326 
    3426. 

  3426. <a name="l03327"></a>03327 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3427. 

  3427. <a name="l03328"></a>03328 <span class="keywordtype">bool</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::nextSplit</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; segment,<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>&amp; h)
    3428. 

  3428. <a name="l03329"></a>03329 {
    3429. 

  3429. <a name="l03330"></a>03330         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> segmentTst;
    3430. 

  3430. <a name="l03331"></a>03331         <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> hTst;
    3431. 

  3431. <a name="l03332"></a>03332         <span class="keywordtype">bool</span> hFnd=<span class="keyword">false</span>;
    3432. 

  3432. <a name="l03333"></a>03333 
    3433. 

  3433. <a name="l03334"></a>03334         <span class="comment">// find reflex vertex...</span>
    3434. 

  3434. <a name="l03335"></a>03335         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;pnts.size();i++)
    3435. 

  3435. <a name="l03336"></a>03336         {
    3436. 

  3436. <a name="l03337"></a>03337                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> delta0=(data-&gt;pnts[wrapIndex(i,0)]-data-&gt;pnts[wrapIndex(i,-1)]).<a class="code" href="vector_01functions_8cpp.html#afec438cdf97f2f58378c6765f0871568">unit</a>();
    3437. 

  3437. <a name="l03338"></a>03338                 <a class="code" href="classplanePoint.html">planePoint&lt;dataType&gt;</a> delta1=(data-&gt;pnts[wrapIndex(i,1)]-data-&gt;pnts[wrapIndex(i,0)]).<a class="code" href="vector_01functions_8cpp.html#afec438cdf97f2f58378c6765f0871568">unit</a>();
    3438. 

  3438. <a name="l03339"></a>03339                 <span class="keywordflow">if</span>(delta0.<a class="code" href="classplanePoint.html#ac11da6a78e63c26f603668cc7c9c2342">cross</a>(delta1)&lt;0.0)
    3439. 

  3439. <a name="l03340"></a>03340                 {
    3440. 

  3440. <a name="l03341"></a>03341                         <span class="comment">// seek split</span>
    3441. 

  3441. <a name="l03342"></a>03342                         <span class="keywordflow">if</span>(seekSplit(i,segmentTst,hTst) &amp;&amp; (!hFnd || fabs(hTst)&lt;fabs(h)))
    3442. 

  3442. <a name="l03343"></a>03343                         {
    3443. 

  3443. <a name="l03344"></a>03344                                 h=hTst;
    3444. 

  3444. <a name="l03345"></a>03345                                 segment=segmentTst;
    3445. 

  3445. <a name="l03346"></a>03346                                 hFnd=<span class="keyword">true</span>;
    3446. 

  3446. <a name="l03347"></a>03347                         }
    3447. 

  3447. <a name="l03348"></a>03348                 }
    3448. 

  3448. <a name="l03349"></a>03349         }
    3449. 

  3449. <a name="l03350"></a>03350         <span class="keywordflow">return</span> hFnd;
    3450. 

  3450. <a name="l03351"></a>03351 }
    3451. 

  3451. <a name="l03352"></a>03352 
    3452. 

  3452. <a name="l03353"></a>03353 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3453. 

  3453. <a name="l03354"></a>03354 <span class="keywordtype">void</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::collapseTopology</a>(<a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> h,std::vector&lt;<a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::topoCollapse</a>&gt;&amp; topoClps)
    3454. 

  3454. <a name="l03355"></a>03355 {
    3455. 

  3455. <a name="l03356"></a>03356         <span class="comment">// is boolean on whether an old node is kept</span>
    3456. 

  3456. <a name="l03357"></a>03357         std::vector&lt;bool&gt; isNodeDone=std::vector&lt;bool&gt;(data-&gt;pnts.size(),<span class="keyword">false</span>);
    3457. 

  3457. <a name="l03358"></a>03358         <span class="comment">// state variable the manges whether a collapse has been applied</span>
    3458. 

  3458. <a name="l03359"></a>03359         std::vector&lt;bool&gt; clpsDone=std::vector&lt;bool&gt;(topoClps.size(),<span class="keyword">false</span>);
    3459. 

  3459. <a name="l03360"></a>03360         <span class="comment">// a variable for all the collapses that are common</span>
    3460. 

  3460. <a name="l03361"></a>03361         std::vector&lt;unsigned long&gt; mrgClps;
    3461. 

  3461. <a name="l03362"></a>03362         <span class="comment">// create a copy of the points to be modifed</span>
    3462. 

  3462. <a name="l03363"></a>03363         std::vector&lt;planePoint&lt;dataType&gt; &gt; pntsNew=data-&gt;pnts;
    3463. 

  3463. <a name="l03364"></a>03364 
    3464. 

  3464. <a name="l03365"></a>03365         <span class="comment">// process all the collapses</span>
    3465. 

  3465. <a name="l03366"></a>03366         <span class="keywordtype">bool</span> isClps=<span class="keyword">true</span>;
    3466. 

  3466. <a name="l03367"></a>03367         std::vector&lt;unsigned long&gt; indices(topoClps.size(),0);
    3467. 

  3467. <a name="l03368"></a>03368         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> atIndex=0;
    3468. 

  3468. <a name="l03369"></a>03369         <span class="keywordflow">while</span>(isClps)
    3469. 

  3469. <a name="l03370"></a>03370         {
    3470. 

  3470. <a name="l03371"></a>03371                 isClps=<span class="keyword">false</span>;
    3471. 

  3471. <a name="l03372"></a>03372 
    3472. 

  3472. <a name="l03373"></a>03373                 <span class="comment">// Find a unique collapse points</span>
    3473. 

  3473. <a name="l03374"></a>03374                 <span class="keywordtype">bool</span> clpsFnd=<span class="keyword">false</span>;
    3474. 

  3474. <a name="l03375"></a>03375                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> atClps=0;
    3475. 

  3475. <a name="l03376"></a>03376                 <span class="comment">// This loop detects collapses that meet at a common point</span>
    3476. 

  3476. <a name="l03377"></a>03377                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;topoClps.size();i++)
    3477. 

  3477. <a name="l03378"></a>03378                 {
    3478. 

  3478. <a name="l03379"></a>03379                         <span class="keywordflow">if</span>(!clpsDone[i])
    3479. 

  3479. <a name="l03380"></a>03380                         {
    3480. 

  3480. <a name="l03381"></a>03381                                 <span class="keywordflow">if</span>(!clpsFnd || topoClps[atClps].meet==topoClps[i].meet)
    3481. 

  3481. <a name="l03382"></a>03382                                 {
    3482. 

  3482. <a name="l03383"></a>03383                                         atClps=<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>;
    3483. 

  3483. <a name="l03384"></a>03384                                         <span class="keywordflow">if</span>(clpsFnd)
    3484. 

  3484. <a name="l03385"></a>03385                                                 mrgClps.resize(mrgClps.size()+1,<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>);
    3485. 

  3485. <a name="l03386"></a>03386                                         <span class="keywordflow">else</span>
    3486. 

  3486. <a name="l03387"></a>03387                                                 mrgClps=std::vector&lt;unsigned long&gt;(1,<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>);
    3487. 

  3487. <a name="l03388"></a>03388                                         clpsDone[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<span class="keyword">true</span>;
    3488. 

  3488. <a name="l03389"></a>03389                                         clpsFnd=<span class="keyword">true</span>;
    3489. 

  3489. <a name="l03390"></a>03390                                 }
    3490. 

  3490. <a name="l03391"></a>03391                                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(clpsFnd)
    3491. 

  3491. <a name="l03392"></a>03392                                         isClps=<span class="keyword">true</span>; <span class="comment">// there is another collaps but it meets at a different point</span>
    3492. 

  3492. <a name="l03393"></a>03393                         }
    3493. 

  3493. <a name="l03394"></a>03394                 }
    3494. 

  3494. <a name="l03395"></a>03395 
    3495. 

  3495. <a name="l03396"></a>03396                 <span class="comment">// prepare all the nodes for it to be deleted</span>
    3496. 

  3496. <a name="l03397"></a>03397                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;mrgClps.size();i++)
    3497. 

  3497. <a name="l03398"></a>03398                 {
    3498. 

  3498. <a name="l03399"></a>03399                         indices[atIndex++]=topoClps[mrgClps[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]].at_1;
    3499. 

  3499. <a name="l03400"></a>03400                         isNodeDone[topoClps[mrgClps[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]].at_1]=<span class="keyword">true</span>;
    3500. 

  3500. <a name="l03401"></a>03401                 }
    3501. 

  3501. <a name="l03402"></a>03402 
    3502. 

  3502. <a name="l03403"></a>03403                 <span class="comment">// find the indices at the beginning of the collapse</span>
    3503. 

  3503. <a name="l03404"></a>03404                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> first;
    3504. 

  3504. <a name="l03405"></a>03405                 <span class="keywordtype">bool</span> frstFnd=<span class="keyword">false</span>;
    3505. 

  3505. <a name="l03406"></a>03406                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;mrgClps.size();i++)
    3506. 

  3506. <a name="l03407"></a>03407                 {
    3507. 

  3507. <a name="l03408"></a>03408                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> fstCand=topoClps[mrgClps[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]].at_0;
    3508. 

  3508. <a name="l03409"></a>03409                         <span class="keywordtype">bool</span> cndFnd=<span class="keyword">false</span>;
    3509. 

  3509. <a name="l03410"></a>03410                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;mrgClps.size();j++)
    3510. 

  3510. <a name="l03411"></a>03411                         {
    3511. 

  3511. <a name="l03412"></a>03412                                 <span class="keywordflow">if</span>(fstCand==topoClps[mrgClps[j]].at_1)
    3512. 

  3512. <a name="l03413"></a>03413                                         cndFnd=<span class="keyword">true</span>;
    3513. 

  3513. <a name="l03414"></a>03414                         }
    3514. 

  3514. <a name="l03415"></a>03415                         <span class="keywordflow">if</span>(!cndFnd)
    3515. 

  3515. <a name="l03416"></a>03416                         {
    3516. 

  3516. <a name="l03417"></a>03417                                 first=fstCand;
    3517. 

  3517. <a name="l03418"></a>03418                                 frstFnd=<span class="keyword">true</span>;
    3518. 

  3518. <a name="l03419"></a>03419                                 <span class="keywordflow">break</span>;
    3519. 

  3519. <a name="l03420"></a>03420                         }
    3520. 

  3520. <a name="l03421"></a>03421                 }
    3521. 

  3521. <a name="l03422"></a>03422                 <span class="comment">// Can only process if the node is not deleted</span>
    3522. 

  3522. <a name="l03423"></a>03423                 <span class="keywordflow">if</span>(frstFnd)
    3523. 

  3523. <a name="l03424"></a>03424                 {
    3524. 

  3524. <a name="l03425"></a>03425                         isNodeDone[first]=<span class="keyword">true</span>;
    3525. 

  3525. <a name="l03426"></a>03426                         pntsNew[first]=topoClps[mrgClps[0]].meet;
    3526. 

  3526. <a name="l03427"></a>03427                 }
    3527. 

  3527. <a name="l03428"></a>03428         }
    3528. 

  3528. <a name="l03429"></a>03429 
    3529. 

  3529. <a name="l03430"></a>03430         <span class="comment">// regenerate all the points that are not part of a collapse</span>
    3530. 

  3530. <a name="l03431"></a>03431         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;pnts.size();i++)
    3531. 

  3531. <a name="l03432"></a>03432         {
    3532. 

  3532. <a name="l03433"></a>03433                 <span class="keywordflow">if</span>(!isNodeDone[i])
    3533. 

  3533. <a name="l03434"></a>03434                 {
    3534. 

  3534. <a name="l03435"></a>03435                         pntsNew[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=data-&gt;pnts[wrapIndex(i,0)]+this-&gt;getBisect(i)*h*this-&gt;bisectScale(i);
    3535. 

  3535. <a name="l03436"></a>03436                         isNodeDone[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<span class="keyword">true</span>;
    3536. 

  3536. <a name="l03437"></a>03437                 }
    3537. 

  3537. <a name="l03438"></a>03438         }
    3538. 

  3538. <a name="l03439"></a>03439         <span class="comment">// copy the new points then delete all the unused points</span>
    3539. 

  3539. <a name="l03440"></a>03440         data-&gt;atH+=h;
    3540. 

  3540. <a name="l03441"></a>03441         data-&gt;pnts=pntsNew;
    3541. 

  3541. <a name="l03442"></a>03442         removePoints(indices);
    3542. 

  3542. <a name="l03443"></a>03443 }
    3543. 

  3543. <a name="l03444"></a>03444 
    3544. 

  3544. <a name="l03445"></a>03445 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType&gt;
    3545. 

  3545. <a name="l03446"></a>03446 <span class="keywordtype">void</span> <a class="code" href="classapproxOffset.html">approxOffset&lt;dataType&gt;::cleanPolygon</a>(<span class="keywordtype">bool</span>&amp; isValid,<span class="keywordtype">bool</span>&amp; faceMeetTmp)
    3546. 

  3546. <a name="l03447"></a>03447 {
    3547. 

  3547. <a name="l03448"></a>03448         std::vector&lt;unsigned long&gt; indices;
    3548. 

  3548. <a name="l03449"></a>03449         std::vector&lt;bool&gt; killed;
    3549. 

  3549. <a name="l03450"></a>03450         isValid=<span class="keyword">true</span>;
    3550. 

  3550. <a name="l03451"></a>03451         <span class="keywordtype">bool</span> testKill=<span class="keyword">true</span>;
    3551. 

  3551. <a name="l03452"></a>03452         faceMeetTmp=<span class="keyword">false</span>;
    3552. 

  3552. <a name="l03453"></a>03453         <span class="comment">// first lets tackle some easy stuff</span>
    3553. 

  3553. <a name="l03454"></a>03454         <span class="comment">// adjacent points that are coincident</span>
    3554. 

  3554. <a name="l03455"></a>03455         <span class="keywordflow">while</span>(testKill)
    3555. 

  3555. <a name="l03456"></a>03456         {
    3556. 

  3556. <a name="l03457"></a>03457                 testKill=<span class="keyword">false</span>;
    3557. 

  3557. <a name="l03458"></a>03458                 indices=std::vector&lt;unsigned long&gt;(0);
    3558. 

  3558. <a name="l03459"></a>03459                 killed=std::vector&lt;bool&gt;(data-&gt;pnts.size(),<span class="keyword">false</span>);
    3559. 

  3559. <a name="l03460"></a>03460 
    3560. 

  3560. <a name="l03461"></a>03461                 <span class="comment">// this loop detects points that are identical</span>
    3561. 

  3561. <a name="l03462"></a>03462                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;pnts.size();i++)
    3562. 

  3562. <a name="l03463"></a>03463                 {
    3563. 

  3563. <a name="l03464"></a>03464                         <span class="keywordflow">if</span>(!killed[i] &amp;&amp; data-&gt;pnts[wrapIndex(i,0)]==data-&gt;pnts[wrapIndex(i,-1)])
    3564. 

  3564. <a name="l03465"></a>03465                         {
    3565. 

  3565. <a name="l03466"></a>03466                                 indices.<a class="code" href="classapproxOffset.html#a463dab75995fd25c23da5b7ebbd59388">resize</a>(indices.size()+1,<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>);
    3566. 

  3566. <a name="l03467"></a>03467                                 killed[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<span class="keyword">true</span>;
    3567. 

  3567. <a name="l03468"></a>03468                                 testKill=<span class="keyword">true</span>;
    3568. 

  3568. <a name="l03469"></a>03469                         }
    3569. 

  3569. <a name="l03470"></a>03470                 }
    3570. 

  3570. <a name="l03471"></a>03471                 <span class="comment">// Delete points that are between two colinear segments</span>
    3571. 

  3571. <a name="l03472"></a>03472                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;pnts.size();i++)
    3572. 

  3572. <a name="l03473"></a>03473                 {
    3573. 

  3573. <a name="l03474"></a>03474                         <span class="keywordflow">if</span>(!killed[i] &amp;&amp; getSegVect(wrapIndex(i,-1)).coLinear(getSegVect(wrapIndex(i,0))))
    3574. 

  3574. <a name="l03475"></a>03475                         {
    3575. 

  3575. <a name="l03476"></a>03476                                 <span class="keywordflow">if</span>( ((data-&gt;pnts[wrapIndex(i,0)]-data-&gt;pnts[wrapIndex(i,-1)]).<a class="code" href="vector_01functions_8cpp.html#afec438cdf97f2f58378c6765f0871568">unit</a>())==(-((data-&gt;pnts[wrapIndex(i,1)]-data-&gt;pnts[wrapIndex(i,0)]).<a class="code" href="vector_01functions_8cpp.html#afec438cdf97f2f58378c6765f0871568">unit</a>())) )
    3576. 

  3576. <a name="l03477"></a>03477                                 {
    3577. 

  3577. <a name="l03478"></a>03478                                         faceMeetTmp=<span class="keyword">true</span>; <span class="comment">// this detects points where there is a 180 degree reversal of the line segment</span>
    3578. 

  3578. <a name="l03479"></a>03479                                         indices.resize(indices.size()+1,<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>);
    3579. 

  3579. <a name="l03480"></a>03480                                         killed[<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>]=<span class="keyword">true</span>;
    3580. 

  3580. <a name="l03481"></a>03481                                         testKill=<span class="keyword">true</span>;
    3581. 

  3581. <a name="l03482"></a>03482                                         <span class="comment">// perform a little re-mapping logic</span>
    3582. 

  3582. <a name="l03483"></a>03483                                         <span class="keywordflow">if</span>(getSegVect(wrapIndex(i,0)).delta.length()&lt;getSegVect(wrapIndex(i,-1)).delta.length())
    3583. 

  3583. <a name="l03484"></a>03484                                         {
    3584. 

  3584. <a name="l03485"></a>03485                                                 <span class="comment">// switch map</span>
    3585. 

  3585. <a name="l03486"></a>03486                                                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> tmpMap=data-&gt;segMap[wrapIndex(i,0)];
    3586. 

  3586. <a name="l03487"></a>03487                                                 data-&gt;segMap[wrapIndex(i,0)]=data-&gt;segMap[wrapIndex(i,1)];
    3587. 

  3587. <a name="l03488"></a>03488                                                 data-&gt;segMap[wrapIndex(i,1)]=tmpMap;
    3588. 

  3588. <a name="l03489"></a>03489                                         }
    3589. 

  3589. <a name="l03490"></a>03490                                 }
    3590. 

  3590. <a name="l03491"></a>03491                         }
    3591. 

  3591. <a name="l03492"></a>03492                 }
    3592. 

  3592. <a name="l03493"></a>03493                 <span class="comment">// delete all the points...</span>
    3593. 

  3593. <a name="l03494"></a>03494                 <span class="keywordflow">if</span>(testKill)
    3594. 

  3594. <a name="l03495"></a>03495                         removePoints(indices);
    3595. 

  3595. <a name="l03496"></a>03496                 <span class="comment">// Ensure that there are enough valid points to make a polygon</span>
    3596. 

  3596. <a name="l03497"></a>03497                 <span class="keywordflow">if</span>(data-&gt;pnts.size()&lt;3)
    3597. 

  3597. <a name="l03498"></a>03498                         isValid=<span class="keyword">false</span>; <span class="comment">// at this point the polygon is nothing</span>
    3598. 

  3598. <a name="l03499"></a>03499         }
    3599. 

  3599. <a name="l03500"></a>03500         <span class="comment">// Now we check to see if there are any segments that are intersection...</span>
    3600. 

  3600. <a name="l03501"></a>03501         <span class="comment">// If the segment is not valid after this loop... then a new closed loop has been generated thus this h defines the limit to the offsetting...</span>
    3601. 

  3601. <a name="l03502"></a>03502         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i=0;i&lt;data-&gt;pnts.size() &amp;&amp; isValid;i++)
    3602. 

  3602. <a name="l03503"></a>03503         {
    3603. 

  3603. <a name="l03504"></a>03504                 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> limit=data-&gt;pnts.size();
    3604. 

  3604. <a name="l03505"></a>03505                 <span class="keywordflow">if</span>(i==0)
    3605. 

  3605. <a name="l03506"></a>03506                         limit--;
    3606. 

  3606. <a name="l03507"></a>03507                 <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a> champ=getSegVect(wrapIndex(i,0));
    3607. 

  3607. <a name="l03508"></a>03508                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=i+2;j&lt;limit &amp;&amp; isValid;j++)
    3608. 

  3608. <a name="l03509"></a>03509                 {
    3609. 

  3609. <a name="l03510"></a>03510                         <a class="code" href="classlineSegment.html">lineSegment&lt;dataType&gt;</a> chlng=getSegVect(wrapIndex(j,0));
    3610. 

  3610. <a name="l03511"></a>03511                         <span class="keywordflow">if</span>(champ.<a class="code" href="classlineSegment.html#accc6ee68372d87ac598d054ae35fb2d5">isParallel</a>(chlng))
    3611. 

  3611. <a name="l03512"></a>03512                         {
    3612. 

  3612. <a name="l03513"></a>03513                                 <span class="keywordflow">if</span>(champ.<a class="code" href="classlineSegment.html#a4103aced67051597b497ce904dd0ef7a">coLinear</a>(chlng))
    3613. 

  3613. <a name="l03514"></a>03514                                 {
    3614. 

  3614. <a name="l03515"></a>03515                                         <span class="keywordflow">if</span>((chlng.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(0.0)-champ.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(0.0)).<a class="code" href="vector_01functions_8cpp.html#a13c7499151a59c9cbb0c4813b549b27d">dot</a>(chlng.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(0.0)-champ.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(1.0))&lt;=0.0)
    3615. 

  3615. <a name="l03516"></a>03516                                                 isValid=<span class="keyword">false</span>;
    3616. 

  3616. <a name="l03517"></a>03517                                         <span class="keywordflow">if</span>((chlng.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(1.0)-champ.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(0.0)).<a class="code" href="vector_01functions_8cpp.html#a13c7499151a59c9cbb0c4813b549b27d">dot</a>(chlng.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(1.0)-champ.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(1.0))&lt;=0.0)
    3617. 

  3617. <a name="l03518"></a>03518                                                 isValid=<span class="keyword">false</span>;
    3618. 

  3618. <a name="l03519"></a>03519                                         <span class="keywordflow">if</span>((champ.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(1.0)-chlng.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(0.0)).<a class="code" href="vector_01functions_8cpp.html#a13c7499151a59c9cbb0c4813b549b27d">dot</a>(champ.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(1.0)-chlng.<a class="code" href="classlineSegment.html#acdb188f0770e669ba382ee5af9e95628">point</a>(1.0))&lt;=0.0)
    3619. 

  3619. <a name="l03520"></a>03520                                                 isValid=<span class="keyword">false</span>;
    3620. 

  3620. <a name="l03521"></a>03521                                 }
    3621. 

  3621. <a name="l03522"></a>03522                         }
    3622. 

  3622. <a name="l03523"></a>03523                         <span class="keywordflow">else</span>
    3623. 

  3623. <a name="l03524"></a>03524                         {
    3624. 

  3624. <a name="l03525"></a>03525                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> a;
    3625. 

  3625. <a name="l03526"></a>03526                                 <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a> b;
    3626. 

  3626. <a name="l03527"></a>03527                                 champ.<a class="code" href="classlineSegment.html#add93ba4d5093b54bc4eebfb4b8b03016">intersect</a>(chlng,a,b);
    3627. 

  3627. <a name="l03528"></a>03528                                 <span class="keywordflow">if</span>(a&gt;=0.0 &amp;&amp; a&lt;=1.0 &amp;&amp; b&gt;=0.0 &amp;&amp; b&lt;=1.0)
    3628. 

  3628. <a name="l03529"></a>03529                                         isValid=<span class="keyword">false</span>;
    3629. 

  3629. <a name="l03530"></a>03530                         }
    3630. 

  3630. <a name="l03531"></a>03531                 }
    3631. 

  3631. <a name="l03532"></a>03532         }
    3632. 

  3632. <a name="l03533"></a>03533 }
    3633. 

  3633. <a name="l03534"></a>03534 
    3634. 

  3634. <a name="l03535"></a>03535 <span class="comment">// this class is responsible for converting design parameters into a mesh</span>
    3635. 

  3635. <a name="l03536"></a>03536 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType,<span class="keyword">class</span> cxDesignType&gt;
    3636. 

  3636. <a name="l03537"></a><a class="code" href="classcrossSectionGeom.html">03537</a> <span class="keyword">class </span><a class="code" href="classcrossSectionGeom.html">crossSectionGeom</a>
    3637. 

  3637. <a name="l03538"></a>03538 {
    3638. 

  3638. <a name="l03539"></a>03539         <span class="keyword">public</span>:
    3639. 

  3639. <a name="l03540"></a>03540 
    3640. 

  3640. <a name="l03541"></a><a class="code" href="classcrossSectionGeom.html#ab82e4be71ae052379e2f4cd09253c7a7">03541</a>                 <span class="keyword">virtual</span> <a class="code" href="classcrossSectionGeom.html#ab82e4be71ae052379e2f4cd09253c7a7">~crossSectionGeom</a>()
    3641. 

  3641. <a name="l03542"></a>03542                 {}
    3642. 

  3642. <a name="l03543"></a>03543 
    3643. 

  3643. <a name="l03544"></a>03544                 <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classcrossSectionGeom.html#a333173a8ba27fd0632d1bad008295484">setDesign</a>(<span class="keyword">const</span> cxDesignType&amp; desParam) =0;
    3644. 

  3644. <a name="l03545"></a>03545                 <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classcrossSectionGeom.html#a686ac21be9f33ccac2622249c6c006c8">getMesh</a>(<a class="code" href="classmesh.html">mesh&lt;dataType&gt;</a>&amp; msh) =0;
    3645. 

  3645. <a name="l03546"></a>03546 };
    3646. 

  3646. <a name="l03547"></a>03547 
    3647. 

  3647. <a name="l03548"></a>03548 <span class="comment">// this class is an intermediate.</span>
    3648. 

  3648. <a name="l03549"></a>03549 <span class="comment">// All it does is hold all the Ibeam objects and ensures that all the pointers are set correctly. </span>
    3649. 

  3649. <a name="l03550"></a>03550 <span class="keyword">template</span>&lt;<span class="keyword">class</span> dataType,<span class="keyword">class</span> cxDesignType&gt;
    3650. 

  3650. <a name="l03551"></a><a class="code" href="classcrossSectionGeom__iBeam.html">03551</a> <span class="keyword">class </span><a class="code" href="classcrossSectionGeom__iBeam.html">crossSectionGeom_iBeam</a> : <span class="keyword">public</span> <a class="code" href="classcrossSectionGeom.html">crossSectionGeom</a>&lt;dataType,cxDesignType&gt;
    3651. 

  3651. <a name="l03552"></a>03552 {
    3652. 

  3652. <a name="l03553"></a>03553         <span class="keyword">protected</span>:
    3653. 

  3653. <a name="l03554"></a>03554 
    3654. 

  3654. <a name="l03555"></a>03555                 <span class="comment">// this is essentially the mold line and the offsets:</span>
    3655. 

  3655. <a name="l03556"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ae40404b3c0136b955376401fc16aa226">03556</a>                 <a class="code" href="classcurveFamily.html">curveFamily&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#ae40404b3c0136b955376401fc16aa226">curveSource</a>;
    3656. 

  3656. <a name="l03557"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a594de3b7e4f362c43f0326946d01a0a8">03557</a>                 <span class="keywordtype">bool</span> <a class="code" href="classcrossSectionGeom__iBeam.html#a594de3b7e4f362c43f0326946d01a0a8">deleteCurveSource</a>;
    3657. 

  3657. <a name="l03558"></a>03558 
    3658. 

  3658. <a name="l03559"></a>03559                 <span class="comment">// these are the actual objects required for the mesh</span>
    3659. 

  3659. <a name="l03560"></a>03560 
    3660. 

  3660. <a name="l03561"></a>03561                 <span class="comment">// these control the common curves</span>
    3661. 

  3661. <a name="l03562"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a68dfb68a70c914e4b99c9f080be0d624">03562</a>                 <a class="code" href="classcommonEW.html">commonEW&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a68dfb68a70c914e4b99c9f080be0d624">skinEW</a>;
    3662. 

  3662. <a name="l03563"></a><a class="code" href="classcrossSectionGeom__iBeam.html#af7143fa2c63ca69303c45818bbed80f9">03563</a>                 <a class="code" href="classcommonEW.html">commonEW&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#af7143fa2c63ca69303c45818bbed80f9">capTopEW</a>;
    3663. 

  3663. <a name="l03564"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ac79eb448af0db109c56639616c97657f">03564</a>                 <a class="code" href="classcommonEW.html">commonEW&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#ac79eb448af0db109c56639616c97657f">capBotEW</a>;
    3664. 

  3664. <a name="l03565"></a>03565 
    3665. 

  3665. <a name="l03566"></a>03566                 <span class="comment">// This controls the line density</span>
    3666. 

  3666. <a name="l03567"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a3b803d11c8714ca5c51de07fa48c40fd">03567</a>                 <a class="code" href="classcommonNS.html">commonNS</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a3b803d11c8714ca5c51de07fa48c40fd">teNS</a>;
    3667. 

  3667. <a name="l03568"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a639cd8fa1d793058507c0cce171211b3">03568</a>                 <a class="code" href="classcommonNS.html">commonNS</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a639cd8fa1d793058507c0cce171211b3">teTopCapNS</a>;
    3668. 

  3668. <a name="l03569"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ae2794e4d97d3439da2257090fc7282fa">03569</a>                 <a class="code" href="classcommonNS.html">commonNS</a> <a class="code" href="classcrossSectionGeom__iBeam.html#ae2794e4d97d3439da2257090fc7282fa">webCurveNS</a>;
    3669. 

  3669. <a name="l03570"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a34b3d0fbb3b5ef1df8367a57c13d184b">03570</a>                 <a class="code" href="classcommonNS.html">commonNS</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a34b3d0fbb3b5ef1df8367a57c13d184b">leTopCapNS</a>;
    3670. 

  3670. <a name="l03571"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a40553920906feab5e322b49166eccb4c">03571</a>                 <a class="code" href="classcommonNS.html">commonNS</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a40553920906feab5e322b49166eccb4c">leNS</a>;
    3671. 

  3671. <a name="l03572"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ad45f167177d0113542fa61fff6285e60">03572</a>                 <a class="code" href="classcommonNS.html">commonNS</a> <a class="code" href="classcrossSectionGeom__iBeam.html#ad45f167177d0113542fa61fff6285e60">leBotCapNS</a>;
    3672. 

  3672. <a name="l03573"></a><a class="code" href="classcrossSectionGeom__iBeam.html#af86894d98c77552a5d9e9eb69fd5ddac">03573</a>                 <a class="code" href="classcommonNS.html">commonNS</a> <a class="code" href="classcrossSectionGeom__iBeam.html#af86894d98c77552a5d9e9eb69fd5ddac">teBotCapNS</a>;
    3673. 

  3673. <a name="l03574"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a4cafbda5a77e6c89403f505fd0a91810">03574</a>                 <a class="code" href="classcommonNS.html">commonNS</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a4cafbda5a77e6c89403f505fd0a91810">webNS</a>;
    3674. 

  3674. <a name="l03575"></a>03575 
    3675. 

  3675. <a name="l03576"></a>03576                 <span class="comment">// these are the common points</span>
    3676. 

  3676. <a name="l03577"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a50afb49652bdad95d8f6c3778ef94bb6">03577</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a50afb49652bdad95d8f6c3778ef94bb6">A0</a>;
    3677. 

  3677. <a name="l03578"></a><a class="code" href="classcrossSectionGeom__iBeam.html#abac5a656e78e6671949f4c5826047faa">03578</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#abac5a656e78e6671949f4c5826047faa">B0</a>;
    3678. 

  3678. <a name="l03579"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ab9ea68ce2df8c76266dac3e1cd3f98c9">03579</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#ab9ea68ce2df8c76266dac3e1cd3f98c9">A1</a>;
    3679. 

  3679. <a name="l03580"></a><a class="code" href="classcrossSectionGeom__iBeam.html#af30edd23512b4a9e23db148c414a89a9">03580</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#af30edd23512b4a9e23db148c414a89a9">B1</a>;
    3680. 

  3680. <a name="l03581"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a7967c2c860e5646557604467e19b6991">03581</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a7967c2c860e5646557604467e19b6991">C1</a>;
    3681. 

  3681. <a name="l03582"></a><a class="code" href="classcrossSectionGeom__iBeam.html#adbf97b92a2a35f29da600eb7f5c68e3f">03582</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#adbf97b92a2a35f29da600eb7f5c68e3f">A2</a>;
    3682. 

  3682. <a name="l03583"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a3892357821c9f8267b6c7a00fd8c2b60">03583</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a3892357821c9f8267b6c7a00fd8c2b60">B2</a>;
    3683. 

  3683. <a name="l03584"></a><a class="code" href="classcrossSectionGeom__iBeam.html#aba35bd9e12d7bc00d1e7345725c7e82a">03584</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#aba35bd9e12d7bc00d1e7345725c7e82a">C2</a>;
    3684. 

  3684. <a name="l03585"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ab8f6c7b3f6fd20d975704edb535561b6">03585</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#ab8f6c7b3f6fd20d975704edb535561b6">A3</a>;
    3685. 

  3685. <a name="l03586"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ae8a7b98b2b013bd6fbaa814ef3dcfcc0">03586</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#ae8a7b98b2b013bd6fbaa814ef3dcfcc0">B3</a>;
    3686. 

  3686. <a name="l03587"></a><a class="code" href="classcrossSectionGeom__iBeam.html#acfc9a4bee28fe26fd4d8923dd18ebd9e">03587</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#acfc9a4bee28fe26fd4d8923dd18ebd9e">C3</a>;
    3687. 

  3687. <a name="l03588"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a753cf7a51b45bac02126562d6ff38f5c">03588</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a753cf7a51b45bac02126562d6ff38f5c">A4</a>;
    3688. 

  3688. <a name="l03589"></a><a class="code" href="classcrossSectionGeom__iBeam.html#aaa54f1e4a9ebf2f7162879cf9b6f7a6e">03589</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#aaa54f1e4a9ebf2f7162879cf9b6f7a6e">B4</a>;
    3689. 

  3689. <a name="l03590"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ab2554c3c570e63428f44f82110c8cbba">03590</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#ab2554c3c570e63428f44f82110c8cbba">C4</a>;
    3690. 

  3690. <a name="l03591"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ab822fa7dcbe5bd670474556d4affa256">03591</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#ab822fa7dcbe5bd670474556d4affa256">A5</a>;
    3691. 

  3691. <a name="l03592"></a><a class="code" href="classcrossSectionGeom__iBeam.html#add472063739aaf21482d0f2a63d3b634">03592</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#add472063739aaf21482d0f2a63d3b634">B5</a>;
    3692. 

  3692. <a name="l03593"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a07e29a6b91467de6c3a7dc0f83990177">03593</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a07e29a6b91467de6c3a7dc0f83990177">C5</a>;
    3693. 

  3693. <a name="l03594"></a><a class="code" href="classcrossSectionGeom__iBeam.html#acb6691c81f8809d25c22e20032d32ba3">03594</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#acb6691c81f8809d25c22e20032d32ba3">A6</a>;
    3694. 

  3694. <a name="l03595"></a><a class="code" href="classcrossSectionGeom__iBeam.html#aed5f423158a4d510fa68fde4ca537131">03595</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#aed5f423158a4d510fa68fde4ca537131">B6</a>;
    3695. 

  3695. <a name="l03596"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a7bc51005b136472ba09cf779835b0d44">03596</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a7bc51005b136472ba09cf779835b0d44">C6</a>;
    3696. 

  3696. <a name="l03597"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a1a206b0862c78d98b949e57e3728d69f">03597</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a1a206b0862c78d98b949e57e3728d69f">A7</a>;
    3697. 

  3697. <a name="l03598"></a><a class="code" href="classcrossSectionGeom__iBeam.html#aa742a0d139453e206e3bf2ed6399cdc4">03598</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#aa742a0d139453e206e3bf2ed6399cdc4">B7</a>;
    3698. 

  3698. <a name="l03599"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a334972db72d6175817c048e5eb18f5bc">03599</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a334972db72d6175817c048e5eb18f5bc">C7</a>;
    3699. 

  3699. <a name="l03600"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a96c0f858ae3a85e37c136056657f245b">03600</a>                 <a class="code" href="classcommonPoint__Wrap.html">commonPoint_Wrap&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a96c0f858ae3a85e37c136056657f245b">A8</a>;
    3700. 

  3700. <a name="l03601"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a8230155969a0326a4c2d5291abaef518">03601</a>                 <a class="code" href="classcommonPoint__Wrap.html">commonPoint_Wrap&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a8230155969a0326a4c2d5291abaef518">B8</a>;
    3701. 

  3701. <a name="l03602"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a1f16eb193afd8c73fcfbea33008c4684">03602</a>                 <a class="code" href="classcommonPoint__Data.html">commonPoint_Data&lt;dataType&gt;</a> <a class="code" href="classcrossSectionGeom__iBeam.html#a1f16eb193afd8c73fcfbea33008c4684">C8</a>;
    3702. 

  3702. <a name="l03603"></a>03603 
    3703. 

  3703. <a name="l03604"></a>03604                 <span class="comment">// These are the pointers to the material</span>
    3704. 

  3704. <a name="l03605"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ab28d958eedfba46eeff2511882412e96">03605</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#ab28d958eedfba46eeff2511882412e96">A0Matl</a>;
    3705. 

  3705. <a name="l03606"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a0614143f1ccba221cdb4427e21323d2f">03606</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#a0614143f1ccba221cdb4427e21323d2f">A1Matl</a>;
    3706. 

  3706. <a name="l03607"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ad1c401da77e3f6ff87f547a80de95116">03607</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#ad1c401da77e3f6ff87f547a80de95116">A2Matl</a>;
    3707. 

  3707. <a name="l03608"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a6a4a40c446b5b0b3d43a2c8e85f46b6d">03608</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#a6a4a40c446b5b0b3d43a2c8e85f46b6d">A3Matl</a>;
    3708. 

  3708. <a name="l03609"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ac320ea683ada0f84c231f64ce9ded87a">03609</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#ac320ea683ada0f84c231f64ce9ded87a">A4Matl</a>;
    3709. 

  3709. <a name="l03610"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ab28641328e29932ed0e939af065cc987">03610</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#ab28641328e29932ed0e939af065cc987">A5Matl</a>;
    3710. 

  3710. <a name="l03611"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ab1803de95a2518b9ff5889cff609c355">03611</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#ab1803de95a2518b9ff5889cff609c355">A6Matl</a>;
    3711. 

  3711. <a name="l03612"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a2f65cb50700de41706da65575c855307">03612</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#a2f65cb50700de41706da65575c855307">A7Matl</a>;
    3712. 

  3712. <a name="l03613"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ad3da5c81af293dabf9dbfc3d0852dddd">03613</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#ad3da5c81af293dabf9dbfc3d0852dddd">B1Matl</a>;
    3713. 

  3713. <a name="l03614"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a9de9f460b45d21d292021704640857ea">03614</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#a9de9f460b45d21d292021704640857ea">B2Matl</a>;
    3714. 

  3714. <a name="l03615"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ab7f7eb9506ab90f3d4b6b829ba90b8e5">03615</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#ab7f7eb9506ab90f3d4b6b829ba90b8e5">B3Matl</a>;
    3715. 

  3715. <a name="l03616"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a590704102fd8272896af94a370d86795">03616</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#a590704102fd8272896af94a370d86795">B5Matl</a>;
    3716. 

  3716. <a name="l03617"></a><a class="code" href="classcrossSectionGeom__iBeam.html#ab790eb007ddaf476d24164f5dbb62676">03617</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionGeom__iBeam.html#ab790eb007ddaf476d24164f5dbb62676">B6Matl</a>;
    3717. 

  3717. <a name="l03618"></a><a class="code" href="classcrossSectionGeom__iBeam.html#a29fe64e9501217c6164c3e91bcf0ed74">03618</a>                 <a class="code" href="classconstituitive.html">constituitive&lt;dataType&gt;</a>* <a class="code" href="classcrossSectionG
    3718.