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<h1>triangle.h</h1><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">//</span>
<a name="l00002"></a>00002 <span class="comment">// triangle.h</span>
<a name="l00003"></a>00003 <span class="comment">//</span>
<a name="l00004"></a>00004 <span class="comment">// Copyright (C) 1996 Limit Point Systems, Inc.</span>
<a name="l00005"></a>00005 <span class="comment">//</span>
<a name="l00006"></a>00006 <span class="comment">// Author: Curtis Janssen &lt;cljanss@limitpt.com&gt;</span>
<a name="l00007"></a>00007 <span class="comment">// Maintainer: LPS</span>
<a name="l00008"></a>00008 <span class="comment">//</span>
<a name="l00009"></a>00009 <span class="comment">// This file is part of the SC Toolkit.</span>
<a name="l00010"></a>00010 <span class="comment">//</span>
<a name="l00011"></a>00011 <span class="comment">// The SC Toolkit is free software; you can redistribute it and/or modify</span>
<a name="l00012"></a>00012 <span class="comment">// it under the terms of the GNU Library General Public License as published by</span>
<a name="l00013"></a>00013 <span class="comment">// the Free Software Foundation; either version 2, or (at your option)</span>
<a name="l00014"></a>00014 <span class="comment">// any later version.</span>
<a name="l00015"></a>00015 <span class="comment">//</span>
<a name="l00016"></a>00016 <span class="comment">// The SC Toolkit is distributed in the hope that it will be useful,</span>
<a name="l00017"></a>00017 <span class="comment">// but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
<a name="l00018"></a>00018 <span class="comment">// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span>
<a name="l00019"></a>00019 <span class="comment">// GNU Library General Public License for more details.</span>
<a name="l00020"></a>00020 <span class="comment">//</span>
<a name="l00021"></a>00021 <span class="comment">// You should have received a copy of the GNU Library General Public License</span>
<a name="l00022"></a>00022 <span class="comment">// along with the SC Toolkit; see the file COPYING.LIB.  If not, write to</span>
<a name="l00023"></a>00023 <span class="comment">// the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.</span>
<a name="l00024"></a>00024 <span class="comment">//</span>
<a name="l00025"></a>00025 <span class="comment">// The U.S. Government is granted a limited license as per AL 91-7.</span>
<a name="l00026"></a>00026 <span class="comment">//</span>
<a name="l00027"></a>00027 
<a name="l00028"></a>00028 <span class="preprocessor">#ifndef _math_isosurf_triangle_h</span>
<a name="l00029"></a>00029 <span class="preprocessor"></span><span class="preprocessor">#define _math_isosurf_triangle_h</span>
<a name="l00030"></a>00030 <span class="preprocessor"></span>
<a name="l00031"></a>00031 <span class="preprocessor">#ifdef __GNUC__</span>
<a name="l00032"></a>00032 <span class="preprocessor"></span><span class="preprocessor">#pragma interface</span>
<a name="l00033"></a>00033 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00034"></a>00034 <span class="preprocessor"></span>
<a name="l00035"></a>00035 <span class="preprocessor">#include &lt;math/isosurf/tricoef.h&gt;</span>
<a name="l00036"></a>00036 <span class="preprocessor">#include &lt;math/isosurf/edge.h&gt;</span>
<a name="l00037"></a>00037 
<a name="l00038"></a>00038 <span class="keyword">namespace </span>sc {
<a name="l00039"></a>00039 
<a name="l00040"></a>00040 <span class="keyword">class </span>Triangle: <span class="keyword">public</span> RefCount {
<a name="l00041"></a>00041   <span class="keyword">protected</span>:
<a name="l00042"></a>00042     <span class="comment">// these break gcc 2.5.8</span>
<a name="l00043"></a>00043     <span class="comment">//unsigned int _order:5;</span>
<a name="l00044"></a>00044     <span class="comment">//unsigned int _orientation0:1;</span>
<a name="l00045"></a>00045     <span class="comment">//unsigned int _orientation1:1;</span>
<a name="l00046"></a>00046     <span class="comment">//unsigned int _orientation2:1;</span>
<a name="l00047"></a>00047     <span class="comment">//unsigned char _order;</span>
<a name="l00048"></a>00048     <span class="comment">//unsigned char _orientation0;</span>
<a name="l00049"></a>00049     <span class="comment">//unsigned char _orientation1;</span>
<a name="l00050"></a>00050     <span class="comment">//unsigned char _orientation2;</span>
<a name="l00051"></a>00051     <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> _order;
<a name="l00052"></a>00052     <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> _orientation0;
<a name="l00053"></a>00053     <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> _orientation1;
<a name="l00054"></a>00054     <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> _orientation2;
<a name="l00055"></a>00055     Ref&lt;Edge&gt; _edges[3];
<a name="l00056"></a>00056     Ref&lt;Vertex&gt; *_vertices;
<a name="l00057"></a>00057   <span class="keyword">public</span>:
<a name="l00058"></a>00058     <span class="keyword">enum</span> {max_order = 10};
<a name="l00059"></a>00059 
<a name="l00060"></a>00060     Triangle(<span class="keyword">const</span> Ref&lt;Edge&gt;&amp; v1, <span class="keyword">const</span> Ref&lt;Edge&gt;&amp; v2, <span class="keyword">const</span> Ref&lt;Edge&gt;&amp; v3,
<a name="l00061"></a>00061              <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> orient0 = 0);
<a name="l00062"></a>00062     Ref&lt;Edge&gt; edge(<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> _edges[i]; };
<a name="l00063"></a>00063     <span class="keywordtype">int</span> contains(<span class="keyword">const</span> Ref&lt;Edge&gt;&amp;) <span class="keyword">const</span>;
<a name="l00064"></a>00064     <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> orientation(<span class="keywordtype">int</span> i)<span class="keyword"> const</span>
<a name="l00065"></a>00065 <span class="keyword">    </span>{
<a name="l00066"></a>00066       <span class="keywordflow">return</span> i==0?_orientation0:i==1?_orientation1:_orientation2;
<a name="l00067"></a>00067     }
<a name="l00068"></a>00068     <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> orientation(<span class="keyword">const</span> Ref&lt;Edge&gt;&amp;) <span class="keyword">const</span>;
<a name="l00069"></a>00069     ~Triangle();
<a name="l00070"></a>00070     <span class="keywordtype">void</span> add_edges(std::set&lt;Ref&lt;Edge&gt; &gt;&amp;);
<a name="l00071"></a>00071     <span class="keywordtype">void</span> add_vertices(std::set&lt;Ref&lt;Vertex&gt; &gt;&amp;);
<a name="l00072"></a>00072 
<a name="l00073"></a>00073     <span class="comment">// returns the surface area element</span>
<a name="l00074"></a>00074     <span class="comment">// 0&lt;=r&lt;=1, 0&lt;=s&lt;=1, 0&lt;=r+s&lt;=1</span>
<a name="l00075"></a>00075     <span class="comment">// Ref&lt;Vertex&gt; is the intepolated vertex (both point and normal)</span>
<a name="l00076"></a>00076     <span class="keywordtype">void</span> interpolate(<span class="keyword">const</span> Ref&lt;TriInterpCoef&gt;&amp;,
<a name="l00077"></a>00077                      <span class="keywordtype">double</span> r,<span class="keywordtype">double</span> s,<span class="keyword">const</span> Ref&lt;Vertex&gt;&amp;v, SCVector3&amp; dA);
<a name="l00078"></a>00078     <span class="keywordtype">void</span> interpolate(<span class="keywordtype">double</span> r,<span class="keywordtype">double</span> s,<span class="keyword">const</span> Ref&lt;Vertex&gt;&amp;v, SCVector3&amp; dA);
<a name="l00079"></a>00079     <span class="keywordtype">void</span> interpolate(<span class="keywordtype">double</span> r,<span class="keywordtype">double</span> s,<span class="keyword">const</span> Ref&lt;Vertex&gt;&amp;v, SCVector3&amp; dA,
<a name="l00080"></a>00080                      <span class="keyword">const</span> Ref&lt;Volume&gt; &amp;vol, <span class="keywordtype">double</span> isovalue);
<a name="l00081"></a>00081 
<a name="l00082"></a>00082     <span class="comment">// returns a corner vertex from the triangle</span>
<a name="l00083"></a>00083     <span class="comment">// i = 0 is the (0,0) vertex (or L1 = 1, L2 = 0, L3 = 0)</span>
<a name="l00084"></a>00084     <span class="comment">// i = 1 is the (r=1,s=0) vertex (or L1 = 0, L2 = 1, L3 = 0)</span>
<a name="l00085"></a>00085     <span class="comment">// i = 2 is the (r=0,s=1) vertex (or L1 = 0, L2 = 0, L3 = 1)</span>
<a name="l00086"></a>00086     Ref&lt;Vertex&gt; vertex(<span class="keywordtype">int</span> i);
<a name="l00087"></a>00087 
<a name="l00088"></a>00088     <span class="keywordtype">double</span> flat_area();
<a name="l00089"></a>00089 
<a name="l00090"></a>00090     <span class="comment">// flip the orientation</span>
<a name="l00091"></a>00091     <span class="keywordtype">void</span> flip();
<a name="l00092"></a>00092 
<a name="l00093"></a>00093     <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> order()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> _order; }
<a name="l00094"></a>00094 
<a name="l00095"></a>00095     <span class="keywordtype">void</span> set_order(<span class="keywordtype">int</span> order, <span class="keyword">const</span> Ref&lt;Volume&gt;&amp;vol,<span class="keywordtype">double</span> isovalue);
<a name="l00096"></a>00096 };
<a name="l00097"></a>00097 
<a name="l00098"></a>00098 
<a name="l00099"></a>00099 
<a name="l00100"></a>00100 <span class="keyword">class </span>TriangleIntegrator: <span class="keyword">public</span> DescribedClass {
<a name="l00101"></a>00101   <span class="keyword">private</span>:
<a name="l00102"></a>00102     <span class="keywordtype">int</span> _n;
<a name="l00103"></a>00103     <span class="keywordtype">double</span>* _r;
<a name="l00104"></a>00104     <span class="keywordtype">double</span>* _s;
<a name="l00105"></a>00105     <span class="keywordtype">double</span>* _w;
<a name="l00106"></a>00106     <span class="comment">// precomputed interpolation coefficients for triangles of various orders</span>
<a name="l00107"></a>00107     Ref&lt;TriInterpCoef&gt; **coef_; <span class="comment">// max_order by _n</span>
<a name="l00108"></a>00108   <span class="keyword">protected</span>:
<a name="l00109"></a>00109     <span class="keywordtype">void</span> set_r(<span class="keywordtype">int</span> i,<span class="keywordtype">double</span> r);
<a name="l00110"></a>00110     <span class="keywordtype">void</span> set_s(<span class="keywordtype">int</span> i,<span class="keywordtype">double</span> s);
<a name="l00111"></a>00111     <span class="keywordtype">void</span> set_w(<span class="keywordtype">int</span> i,<span class="keywordtype">double</span> w);
<a name="l00112"></a>00112     <span class="keywordtype">void</span> init_coef();
<a name="l00113"></a>00113     <span class="keywordtype">void</span> clear_coef();
<a name="l00114"></a>00114   <span class="keyword">public</span>:
<a name="l00115"></a>00115     TriangleIntegrator(<span class="keyword">const</span> Ref&lt;KeyVal&gt;&amp;);
<a name="l00116"></a>00116     TriangleIntegrator(<span class="keywordtype">int</span> n);
<a name="l00117"></a>00117     <span class="keyword">virtual</span> ~TriangleIntegrator();
<a name="l00118"></a>00118     <span class="keyword">inline</span> <span class="keywordtype">double</span> w(<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> _w[i]; }
<a name="l00119"></a>00119     <span class="keyword">inline</span> <span class="keywordtype">double</span> r(<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> _r[i]; }
<a name="l00120"></a>00120     <span class="keyword">inline</span> <span class="keywordtype">double</span> s(<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> _s[i]; }
<a name="l00121"></a>00121     <span class="keyword">inline</span> <span class="keywordtype">int</span> n() { <span class="keywordflow">return</span> _n; }
<a name="l00122"></a>00122     <span class="keyword">virtual</span> <span class="keywordtype">void</span> set_n(<span class="keywordtype">int</span> n);
<a name="l00123"></a>00123     Ref&lt;TriInterpCoef&gt; coef(<span class="keywordtype">int</span> order, <span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> coef_[order-1][i]; }
<a name="l00124"></a>00124 };
<a name="l00125"></a>00125 
<a name="l00126"></a>00126 
<a name="l00127"></a>00127 <span class="keyword">class </span>GaussTriangleIntegrator: <span class="keyword">public</span> TriangleIntegrator {
<a name="l00128"></a>00128   <span class="keyword">private</span>:
<a name="l00129"></a>00129     <span class="keywordtype">void</span> init_rw(<span class="keywordtype">int</span> order);
<a name="l00130"></a>00130   <span class="keyword">public</span>:
<a name="l00131"></a>00131     GaussTriangleIntegrator(<span class="keyword">const</span> Ref&lt;KeyVal&gt;&amp;);
<a name="l00132"></a>00132     GaussTriangleIntegrator(<span class="keywordtype">int</span> order);
<a name="l00133"></a>00133     ~GaussTriangleIntegrator();
<a name="l00134"></a>00134     <span class="keywordtype">void</span> set_n(<span class="keywordtype">int</span> n);
<a name="l00135"></a>00135 };
<a name="l00136"></a>00136 
<a name="l00137"></a>00137 }
<a name="l00138"></a>00138 
<a name="l00139"></a>00139 <span class="preprocessor">#endif</span>
<a name="l00140"></a>00140 <span class="preprocessor"></span>
<a name="l00141"></a>00141 <span class="comment">// Local Variables:</span>
<a name="l00142"></a>00142 <span class="comment">// mode: c++</span>
<a name="l00143"></a>00143 <span class="comment">// c-file-style: "CLJ"</span>
<a name="l00144"></a>00144 <span class="comment">// End:</span>
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