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<hr><h1>polygon.cpp</h1><a href="polygon_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre>00001 
00007 <font class="comment">/* Copyright, 2000 Nevrax Ltd.</font>
00008 <font class="comment"> *</font>
00009 <font class="comment"> * This file is part of NEVRAX NEL.</font>
00010 <font class="comment"> * NEVRAX NEL is free software; you can redistribute it and/or modify</font>
00011 <font class="comment"> * it under the terms of the GNU General Public License as published by</font>
00012 <font class="comment"> * the Free Software Foundation; either version 2, or (at your option)</font>
00013 <font class="comment"> * any later version.</font>
00014 <font class="comment"></font>
00015 <font class="comment"> * NEVRAX NEL is distributed in the hope that it will be useful, but</font>
00016 <font class="comment"> * WITHOUT ANY WARRANTY; without even the implied warranty of</font>
00017 <font class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU</font>
00018 <font class="comment"> * General Public License for more details.</font>
00019 <font class="comment"></font>
00020 <font class="comment"> * You should have received a copy of the GNU General Public License</font>
00021 <font class="comment"> * along with NEVRAX NEL; see the file COPYING. If not, write to the</font>
00022 <font class="comment"> * Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,</font>
00023 <font class="comment"> * MA 02111-1307, USA.</font>
00024 <font class="comment"> */</font>
00025 
00026 <font class="preprocessor">#include "<a class="code" href="stdmisc_8h.html">stdmisc.h</a>"</font>
00027 
00028 <font class="preprocessor">#include "<a class="code" href="polygon_8h.html">nel/misc/polygon.h</a>"</font>
00029 <font class="preprocessor">#include "<a class="code" href="plane_8h.html">nel/misc/plane.h</a>"</font>
00030 <font class="preprocessor">#include "<a class="code" href="triangle_8h.html">nel/misc/triangle.h</a>"</font>
00031 
00032 
00033 <font class="keyword">using</font> <font class="keyword">namespace </font>std;
00034 <font class="keyword">using</font> <font class="keyword">namespace </font>NLMISC;
00035 
00036 
00037 <font class="keyword">namespace </font>NLMISC 
00038 {
00039 
00040 
00041 <font class="comment">//==================================//</font>
00042 <font class="comment">//              CPolygon implementation     //</font>
00043 <font class="comment">//==================================//</font>
00044 
00045 <font class="comment">// ***************************************************************************</font>
<a name="l00046"></a><a class="code" href="classNLMISC_1_1CPolygon.html#a1">00046</a> CPolygon::CPolygon(<font class="keyword">const</font> CVector &amp;a, <font class="keyword">const</font> CVector &amp;b, <font class="keyword">const</font> CVector &amp;c)
00047 {
00048         <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.reserve(3);
00049         <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.push_back(a);
00050         <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.push_back(b);
00051         <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.push_back(c);
00052 }
00053 
00054 
00055 <font class="comment">// ***************************************************************************</font>
<a name="l00056"></a><a class="code" href="classNLMISC_1_1CPolygon.html#a3">00056</a> <font class="keywordtype">void</font>                    CPolygon::clip(<font class="keyword">const</font> CPlane      *planes, uint nPlanes)
00057 {
00058         <font class="keywordflow">if</font>(nPlanes==0 || <a class="code" href="classNLMISC_1_1CPolygon.html#a2">getNumVertices</a>()==0)
00059                 <font class="keywordflow">return</font>;
00060 
00061         <font class="comment">// The final polygon has at maximum currentVertices+number of clipping planes.</font>
00062         <font class="comment">// For performance, the vectors are static, so reallocation rarely occurs.</font>
00063         <font class="keyword">static</font>  vector&lt;CVector&gt;         tab0, tab1;
00064         tab0.resize(<a class="code" href="classNLMISC_1_1CPolygon.html#a2">getNumVertices</a>()+nPlanes);
00065         tab1.resize(<a class="code" href="classNLMISC_1_1CPolygon.html#a2">getNumVertices</a>()+nPlanes);
00066         <font class="comment">// Init tab0 with Vertices.</font>
00067         copy(<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.begin(), <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.end(), tab0.begin());
00068         CVector                         *<a class="code" href="driver__opengl__extension__def_8h.html#a404">in</a>=&amp;(*tab0.begin()), *out= &amp;(*tab1.begin());
00069         sint                            nin= <a class="code" href="classNLMISC_1_1CPolygon.html#a2">getNumVertices</a>(), nout;
00070         <font class="keywordflow">for</font>(sint i=0;i&lt;(sint)nPlanes;i++)
00071         {
00072                 nout= planes[i].clipPolygonBack(<a class="code" href="driver__opengl__extension__def_8h.html#a404">in</a>, out, nin);
00073                 swap(<a class="code" href="driver__opengl__extension__def_8h.html#a404">in</a>, out);
00074                 nin= nout;
00075                 <font class="keywordflow">if</font>(nin==0)
00076                         <font class="keywordflow">break</font>;
00077         }
00078 
00079         <font class="comment">// Final result in "in".</font>
00080         <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.resize(nin);
00081         <font class="keywordflow">if</font>(nin&gt;0)
00082         {
00083                 memcpy(&amp;(*<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.begin()), <a class="code" href="driver__opengl__extension__def_8h.html#a404">in</a>, nin*<font class="keyword">sizeof</font>(CVector));
00084         }
00085 }
00086 
00087 
00088 <font class="comment">// ***************************************************************************</font>
<a name="l00089"></a><a class="code" href="classNLMISC_1_1CPolygon.html#a4">00089</a> <font class="keywordtype">void</font>                    CPolygon::clip(<font class="keyword">const</font> std::vector&lt;CPlane&gt; &amp;planes)
00090 {
00091         <font class="keywordflow">if</font>(planes.size()==0)
00092                 <font class="keywordflow">return</font>;
00093         <a class="code" href="classNLMISC_1_1CPolygon.html#a3">clip</a>(&amp;(*planes.begin()), planes.size());
00094 }
00095 
00096 
00097 
00098 <font class="comment">// ***************************************************************************</font>
<a name="l00099"></a><a class="code" href="classNLMISC_1_1CPolygon.html#a5">00099</a> <font class="keywordtype">void</font> CPolygon::serial(<a class="code" href="classNLMISC_1_1IStream.html">NLMISC::IStream</a> &amp;f) <font class="keywordflow">throw</font>(NLMISC::EStream)
00100 {
00101         f.serialVersion(0);
00102         f.serialCont(Vertices);
00103 }
00104 
00105 <font class="comment">// ***************************************************************************</font>
<a name="l00106"></a><a class="code" href="classNLMISC_1_1CPolygon.html#a8">00106</a> <font class="keywordtype">void</font> CPolygon::getBestTriplet(uint &amp;index0,uint &amp;index1,uint &amp;index2)
00107 {
00108         <a class="code" href="debug_8h.html#a6">nlassert</a>(<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.size() &gt;= 3);
00109         uint i, j, k;
00110         <font class="keywordtype">float</font> bestArea = 0.f;
00111         <font class="keyword">const</font> uint numVerts = <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.size();
00112         <font class="keywordflow">for</font> (i = 0; i &lt; numVerts; ++i)
00113         {
00114                 <font class="keywordflow">for</font> (j = 0; j &lt; numVerts; ++j)
00115                 {
00116                         <font class="keywordflow">if</font> (i != j)
00117                         {
00118                                 <font class="keywordflow">for</font> (k = 0; k &lt; numVerts; ++k)
00119                                 {
00120                                         <font class="keywordflow">if</font> (k != i &amp;&amp; k != j)
00121                                         {
00122                                                 CVector v0 = <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[j] - <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[i];
00123                                                 CVector v1 = <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[k] - <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[i];                                         
00124                                                 <font class="keywordtype">float</font> area = (v0 ^ v1).norm();
00125                                                 <font class="keywordflow">if</font> (area &gt; bestArea)
00126                                                 {
00127                                                         bestArea = area;
00128                                                         index0 = i;
00129                                                         index1 = j;
00130                                                         index2 = k;
00131                                                 }
00132                                         }
00133                                 }
00134                         }
00135                 }
00136         }
00137 
00138 }
00139 
00140 <font class="comment">// ***************************************************************************</font>
<a name="l00141"></a><a class="code" href="classNLMISC_1_1CPolygon.html#a9">00141</a> <font class="keywordtype">void</font> CPolygon::buildBasis(CMatrix &amp;dest)
00142 {
00143         <a class="code" href="debug_8h.html#a6">nlassert</a>(<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.size() &gt; 3);
00144         uint i1, i2, i3;
00145         <a class="code" href="classNLMISC_1_1CPolygon.html#a8">getBestTriplet</a>(i1, i2, i3);
00146         CVector v1 = (<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[i2] - <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[i1]).normed();
00147         CVector v2 = (<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[i3] - <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[i1]).normed();
00148         CVector K = v2 ^ v1;
00149         CVector I = v1 - (v1 * K) * v1;
00150         CVector J = K ^ I;
00151         dest.setRot(I, J, K);
00152         dest.setPos(<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[i1]);
00153 }
00154 
00155 <font class="comment">// ***************************************************************************</font>
00156 
<a name="l00157"></a><a class="code" href="classNLMISC_1_1CConcavePolygonsVertexDesc.html">00157</a> <font class="keyword">class </font>CConcavePolygonsVertexDesc
00158 {
00159 <font class="keyword">public</font>:
00160 
<a name="l00161"></a><a class="code" href="classNLMISC_1_1CConcavePolygonsVertexDesc.html#a0">00161</a>         <a class="code" href="classNLMISC_1_1CConcavePolygonsVertexDesc.html#a0">CConcavePolygonsVertexDesc</a> (<font class="keywordtype">float</font> length, uint <a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>)
00162         {
00163                 <a class="code" href="classNLMISC_1_1CConcavePolygonsVertexDesc.html#m0">Length</a> = length;
00164                 <a class="code" href="classNLMISC_1_1CConcavePolygonsVertexDesc.html#m1">Index</a> = <a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>;
00165         }
00166 
00167         <font class="comment">// Length &gt; 0</font>
<a name="l00168"></a><a class="code" href="classNLMISC_1_1CConcavePolygonsVertexDesc.html#m0">00168</a>         <font class="keywordtype">float</font>   <a class="code" href="classNLMISC_1_1CConcavePolygonsVertexDesc.html#m0">Length</a>;
00169 
00170         <font class="comment">// First vertex index</font>
<a name="l00171"></a><a class="code" href="classNLMISC_1_1CConcavePolygonsVertexDesc.html#m1">00171</a>         uint    <a class="code" href="classNLMISC_1_1CConcavePolygonsVertexDesc.html#m1">Index</a>;
00172 };
00173 <font class="keyword">typedef</font> std::map&lt;float, CConcavePolygonsVertexDesc&gt; <a class="code" href="namespaceNLMISC.html#a199">TCConcavePolygonsVertexMap</a>;
00174 
00175 <font class="comment">// ***************************************************************************</font>
00176 
<a name="l00177"></a><a class="code" href="classNLMISC_1_1CPolygon.html#d0">00177</a> <font class="keywordtype">bool</font> CPolygon::toConvexPolygonsEdgeIntersect (<font class="keyword">const</font> CVector2f&amp; a0, <font class="keyword">const</font> CVector2f&amp; a1, <font class="keyword">const</font> CVector2f&amp; b0, <font class="keyword">const</font> CVector2f&amp; b1)
00178 {
00179         <font class="keywordtype">float</font> Aa = (a0.y - a1.y) / (a0.x - a1.x);
00180         <font class="keywordtype">float</font> Ba = a0.y - a0.x * Aa;
00181         <font class="keywordtype">float</font> Ab = (b0.y - b1.y) / (b0.x - b1.x);
00182         <font class="keywordtype">float</font> Bb = b0.y - b0.x * Ab;
00183 
00184         <font class="comment">// Intersection </font>
00185         CVector2f intersection;
00186         intersection.x = (Bb - Ba) / (Aa - Ab);
00187         intersection.y = Aa * intersection.x + Ba;
00188 
00189         <font class="comment">// In it ?</font>
00190         <font class="keywordflow">return</font> ( ( (a0-intersection)*(a1-intersection) &lt; 0 ) &amp;&amp; ( (b0-intersection)*(b1-intersection) &lt; 0 ) );
00191 }
00192 
00193 <font class="comment">// ***************************************************************************</font>
00194 
<a name="l00195"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html">00195</a> <font class="keyword">class </font>CBSPNode2v
00196 {
00197 <font class="keyword">public</font>:
<a name="l00198"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#a0">00198</a>         <a class="code" href="classNLMISC_1_1CBSPNode2v.html#a0">CBSPNode2v</a> () 
00199         {
00200                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m0">Back</a> = NULL;
00201                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m1">Front</a> = NULL;
00202         }
<a name="l00203"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#a1">00203</a>         <a class="code" href="classNLMISC_1_1CBSPNode2v.html#a0">CBSPNode2v</a> ( <font class="keyword">const</font> CPlane &amp;plane, CVector p0, CVector p1, uint v0, uint v1 ) : <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m3">Plane</a> (plane), <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m4">P0</a> (p0), <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m5">P1</a> (p1)
00204         {
00205                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m0">Back</a> = NULL;
00206                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m1">Front</a> = NULL;
00207                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m2">Parent</a> = NULL;
00208                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m6">V0</a> = v0;
00209                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m7">V1</a> = v1;
00210         }
<a name="l00211"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#a2">00211</a>         <a class="code" href="classNLMISC_1_1CBSPNode2v.html#a2">~CBSPNode2v</a> ()
00212         {
00213                 <font class="keywordflow">if</font> (Front)
00214                         <font class="keyword">delete</font> <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m1">Front</a>;
00215                 <font class="keywordflow">if</font> (Back)
00216                         <font class="keyword">delete</font> <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m0">Back</a>;
00217         }
00218 
<a name="l00219"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#a3">00219</a>         <font class="keywordtype">void</font> <a class="code" href="classNLMISC_1_1CBSPNode2v.html#a3">insert</a> (<a class="code" href="classNLMISC_1_1CBSPNode2v.html#a0">CBSPNode2v</a> *node)
00220         {
00221                 <font class="comment">// Front ?</font>
00222                 <font class="keywordtype">bool</font> p0Front = (<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m3">Plane</a> * node-&gt;P0) &gt; 0;
00223                 <font class="keywordtype">bool</font> p1Front = (<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m3">Plane</a> * node-&gt;P1) &gt; 0;
00224                 <font class="keywordflow">if</font> (p0Front &amp;&amp; p1Front)
00225                 {
00226                         <font class="comment">// Front child ?</font>
00227                         <font class="keywordflow">if</font> (Front)
00228                                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m1">Front</a>-&gt;insert (node);
00229                         <font class="keywordflow">else</font>
00230                         {
00231                                 <font class="comment">// Link left</font>
00232                                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m1">Front</a> = node;
00233                                 node-&gt;Parent = <font class="keyword">this</font>;
00234                         }
00235                 }
00236                 <font class="keywordflow">else</font> <font class="keywordflow">if</font> ((!p0Front) &amp;&amp; (!p1Front))
00237                 {
00238                         <font class="comment">// Back child ?</font>
00239                         <font class="keywordflow">if</font> (Back)
00240                                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m0">Back</a>-&gt;insert (node);
00241                         <font class="keywordflow">else</font>
00242                         {
00243                                 <font class="comment">// Link left</font>
00244                                 <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m0">Back</a> = node;
00245                                 node-&gt;Parent = <font class="keyword">this</font>;
00246                         }
00247                 }
00248                 <font class="keywordflow">else</font>
00249                 {
00250                         <font class="comment">// Split vertex</font>
00251                         CVector newVertex = <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m3">Plane</a>.intersect (node-&gt;P0, node-&gt;P1);
00252 
00253                         <font class="comment">// New node</font>
00254                         <a class="code" href="classNLMISC_1_1CBSPNode2v.html#a0">CBSPNode2v</a> *newNode = <font class="keyword">new</font> <a class="code" href="classNLMISC_1_1CBSPNode2v.html#a0">CBSPNode2v</a> (node-&gt;Plane, node-&gt;P0, newVertex, node-&gt;V0, node-&gt;V1);
00255 
00256                         <font class="comment">// Old node</font>
00257                         node-&gt;P0 = newVertex;
00258 
00259                         <font class="comment">// Insert child</font>
00260                         CBSPNode2v **p0Parent;
00261                         CBSPNode2v **p1Parent;
00262 
00263                         <font class="comment">// Get insertion pointer</font>
00264                         <font class="keywordflow">if</font> (p0Front)
00265                         {
00266                                 p0Parent = &amp;<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m1">Front</a>;
00267                                 p1Parent = &amp;<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m0">Back</a>;
00268                         }
00269                         <font class="keywordflow">else</font>
00270                         {
00271                                 p0Parent = &amp;<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m0">Back</a>;
00272                                 p1Parent = &amp;<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m1">Front</a>;
00273                         }
00274 
00275                         <font class="comment">// Insert children</font>
00276                         <font class="keywordflow">if</font> (*p0Parent)
00277                         {
00278                                 (*p0Parent)-&gt;insert (newNode);
00279                         }
00280                         <font class="keywordflow">else</font>
00281                         {
00282                                 *p0Parent = newNode;
00283                                 newNode-&gt;Parent = <font class="keyword">this</font>;
00284                         }
00285 
00286                         <font class="comment">// Insert children</font>
00287                         <font class="keywordflow">if</font> (*p1Parent)
00288                         {
00289                                 (*p1Parent)-&gt;insert (node);
00290                         }
00291                         <font class="keywordflow">else</font>
00292                         {
00293                                 *p1Parent = node;
00294                                 node-&gt;Parent = <font class="keyword">this</font>;
00295                         }
00296                 }
00297         }
00298 
<a name="l00299"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#a4">00299</a>         <font class="keywordtype">bool</font> <a class="code" href="classNLMISC_1_1CBSPNode2v.html#a4">intersect</a> (<font class="keyword">const</font> CVector &amp;p0, <font class="keyword">const</font> CVector &amp;p1, uint v0, uint v1)<font class="keyword"> const</font>
00300 <font class="keyword">        </font>{
00301                 <font class="comment">// Front ?</font>
00302                 <font class="keywordtype">bool</font> p0Front = (<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m3">Plane</a> * p0) &gt; 0;
00303                 <font class="keywordtype">bool</font> p1Front = (<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m3">Plane</a> * p1) &gt; 0;
00304 
00305                 <font class="keywordflow">if</font> (p0Front != p1Front)
00306                         <font class="keywordflow">if</font> ( (v0 != <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m6">V0</a>) &amp;&amp; (v0 != <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m7">V1</a>) &amp;&amp; (v1 != <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m6">V0</a>) &amp;&amp; (v1 != <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m7">V1</a>) )
00307                                 <font class="keywordflow">if</font> (CPolygon::toConvexPolygonsEdgeIntersect ((CVector2f) <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m4">P0</a>, (CVector2f) <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m5">P1</a>, (CVector2f) p0, (CVector2f) p1))
00308                                         <font class="keywordflow">return</font> <font class="keyword">true</font>;
00309 
00310                 <font class="keywordflow">if</font> (p0Front || p1Front)
00311                 {
00312                         <font class="keywordflow">if</font> (Front)
00313                                 <font class="keywordflow">if</font> (<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m1">Front</a>-&gt;intersect (p0, p1, v0, v1))
00314                                         <font class="keywordflow">return</font> <font class="keyword">true</font>;
00315                 }
00316 
00317                 <font class="keywordflow">if</font> ((!p0Front) || (!p1Front))
00318                 {
00319                         <font class="keywordflow">if</font> (Back)
00320                                 <font class="keywordflow">if</font> (<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m0">Back</a>-&gt;intersect (p0, p1, v0, v1))
00321                                         <font class="keywordflow">return</font> <font class="keyword">true</font>;
00322                 }
00323 
00324                 <font class="keywordflow">return</font> <font class="keyword">false</font>;
00325         }
00326 
<a name="l00327"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#m2">00327</a>         <a class="code" href="classNLMISC_1_1CBSPNode2v.html#a0">CBSPNode2v</a>      *<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m0">Back</a>, *<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m1">Front</a>, *<a class="code" href="classNLMISC_1_1CBSPNode2v.html#m2">Parent</a>;
<a name="l00328"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#m3">00328</a>         CPlane          <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m3">Plane</a>;
<a name="l00329"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#m4">00329</a>         CVector         <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m4">P0</a>;
<a name="l00330"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#m5">00330</a>         CVector         <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m5">P1</a>;
<a name="l00331"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#m6">00331</a>         uint            <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m6">V0</a>;
<a name="l00332"></a><a class="code" href="classNLMISC_1_1CBSPNode2v.html#m7">00332</a>         uint            <a class="code" href="classNLMISC_1_1CBSPNode2v.html#m7">V1</a>;
00333 };
00334 
00335 <font class="comment">// ***************************************************************************</font>
00336 
<a name="l00337"></a><a class="code" href="classNLMISC_1_1CPolygon.html#d1">00337</a> <font class="keywordtype">bool</font> CPolygon::toConvexPolygonsLeft (<font class="keyword">const</font> std::vector&lt;CVector&gt; &amp;vertex, uint a, uint b, uint c)
00338 {
00339         <font class="keywordflow">return</font> ( (vertex[b].x - vertex[a].x) * (vertex[c].y - vertex[a].y) - (vertex[c].x - vertex[a].x) * (vertex[b].y - vertex[a].y) ) &lt; 0;
00340 }
00341 
00342 <font class="comment">// ***************************************************************************</font>
00343 
<a name="l00344"></a><a class="code" href="classNLMISC_1_1CPolygon.html#d2">00344</a> <font class="keywordtype">bool</font> CPolygon::toConvexPolygonsLeftOn (<font class="keyword">const</font> std::vector&lt;CVector&gt; &amp;vertex, uint a, uint b, uint c)
00345 {
00346         <font class="keywordflow">return</font> ( (vertex[b].x - vertex[a].x) * (vertex[c].y - vertex[a].y) - (vertex[c].x - vertex[a].x) * (vertex[b].y - vertex[a].y) ) &lt;= 0;
00347 }
00348 
00349 <font class="comment">// ***************************************************************************</font>
00350 
<a name="l00351"></a><a class="code" href="classNLMISC_1_1CPolygon.html#d3">00351</a> <font class="keywordtype">bool</font> CPolygon::toConvexPolygonsInCone (<font class="keyword">const</font> std::vector&lt;CVector&gt; &amp;vertex, uint a, uint b)
00352 {
00353         <font class="comment">// Prev and next</font>
00354         uint a0 = a+1;
00355         <font class="keywordflow">if</font> (a0==vertex.size())
00356                 a0=0;
00357         uint a1;
00358         <font class="keywordflow">if</font> (a==0)
00359                 a1=vertex.size()-1;
00360         <font class="keywordflow">else</font>
00361                 a1= a-1;
00362 
00363         <font class="keywordflow">if</font> (<a class="code" href="classNLMISC_1_1CPolygon.html#d2">toConvexPolygonsLeftOn</a> (vertex, a, a1, a0) )
00364         {
00365                 <font class="keywordflow">return</font> <a class="code" href="classNLMISC_1_1CPolygon.html#d1">toConvexPolygonsLeft</a> ( vertex, a, b, a0) &amp;&amp; <a class="code" href="classNLMISC_1_1CPolygon.html#d1">toConvexPolygonsLeft</a> ( vertex, b, a, a1);
00366         }
00367         <font class="keywordflow">else</font>
00368         {
00369                 <font class="keywordflow">return</font> !( <a class="code" href="classNLMISC_1_1CPolygon.html#d1">toConvexPolygonsLeft</a> ( vertex, a, b, a1) &amp;&amp; <a class="code" href="classNLMISC_1_1CPolygon.html#d1">toConvexPolygonsLeft</a> ( vertex, b, a, a0) );
00370         }
00371 }
00372 
00373 <font class="comment">// ***************************************************************************</font>
00374 
<a name="l00375"></a><a class="code" href="classNLMISC_1_1CPolygon.html#d4">00375</a> <font class="keywordtype">bool</font> CPolygon::toConvexPolygonsDiagonal (<font class="keyword">const</font> std::vector&lt;CVector&gt; &amp;vertex, <font class="keyword">const</font> CBSPNode2v &amp;bsp, uint a, uint b)
00376 {
00377         <font class="comment">// Check it is a border</font>
00378         <font class="keywordflow">if</font> ( ( (b - a) == 1) || ( (a - b) == 1) || ( (a==0) &amp;&amp; (b ==(vertex.size()-1))) || ( (b==0) &amp;&amp; (a ==(vertex.size()-1))) )
00379                 <font class="keywordflow">return</font> <font class="keyword">true</font>;
00380 
00381         <font class="comment">// Check visibility</font>
00382         <font class="keywordflow">if</font> (<a class="code" href="classNLMISC_1_1CPolygon.html#d3">toConvexPolygonsInCone</a> (vertex, a, b) &amp;&amp; <a class="code" href="classNLMISC_1_1CPolygon.html#d3">toConvexPolygonsInCone</a> (vertex, b, a))
00383         {
00384                 <font class="comment">// Intersection ?</font>
00385                 <font class="keywordflow">return</font> !bsp.intersect (vertex[a], vertex[b], a, b);
00386         }
00387         <font class="keywordflow">return</font> <font class="keyword">false</font>;
00388 }
00389 
00390 <font class="comment">// ***************************************************************************</font>
00391 
<a name="l00392"></a><a class="code" href="classNLMISC_1_1CPolygon.html#a10">00392</a> <font class="keywordtype">void</font> CPolygon::toConvexPolygonsLocalAndBSP (std::vector&lt;CVector&gt; &amp;localVertices, CBSPNode2v &amp;root, <font class="keyword">const</font> CMatrix &amp;basis)<font class="keyword"> const</font>
00393 <font class="keyword"></font>{
00394         <font class="comment">// Invert matrix</font>
00395         CMatrix invert = basis;
00396         invert.invert ();
00397 
00398         <font class="comment">// Insert vertices in an ordered table</font>
00399         uint vertexCount = <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.size();
00400         <a class="code" href="namespaceNLMISC.html#a199">TCConcavePolygonsVertexMap</a> vertexMap;
00401         localVertices.resize (vertexCount);
00402         uint i, j;
00403         
00404         <font class="comment">// Transform the vertex</font>
00405         <font class="keywordflow">for</font> (i=0; i&lt;vertexCount; i++)
00406         {
00407                 CVector local = invert*<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[i];
00408                 localVertices[i] = CVector (local.x, local.y, 0);
00409         }
00410 
00411         <font class="comment">// Plane direction</font>
00412         i=0;
00413         j=<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.size()-1;
00414         CVector normal = localVertices[i] - localVertices[j];
00415         normal = normal ^ CVector::K;
00416         CPlane clipPlane;
00417         clipPlane.make(normal, localVertices[i]);
00418 
00419         <font class="comment">// Build the BSP root</font>
00420         root = CBSPNode2v (clipPlane, localVertices[i], localVertices[j], i, j);
00421 
00422         <font class="comment">// Insert all others edges</font>
00423         j=i++;
00424         <font class="keywordflow">for</font> (; i&lt;<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.size(); i++)
00425         {
00426                 <font class="comment">// Plane direction</font>
00427                 normal = localVertices[i] - localVertices[j];
00428                 normal = normal ^ CVector::K;
00429                 clipPlane.make(normal, localVertices[i]);
00430 
00431                 <font class="comment">// Build the BSP root</font>
00432                 root.insert ( <font class="keyword">new</font> CBSPNode2v (clipPlane, localVertices[i], localVertices[j], i, j) );
00433 
00434                 j=i;
00435         }
00436 }
00437 
00438 <font class="comment">// ***************************************************************************</font>
00439 
<a name="l00440"></a><a class="code" href="classNLMISC_1_1CPolygon.html#a6">00440</a> <font class="keywordtype">bool</font> CPolygon::toConvexPolygons (<a class="code" href="classstd_1_1list.html">std::list&lt;CPolygon&gt;</a>&amp; outputPolygons, <font class="keyword">const</font> CMatrix&amp; basis)<font class="keyword"> const</font>
00441 <font class="keyword"></font>{
00442         <font class="comment">// Some vertices ?</font>
00443         <font class="keywordflow">if</font> (<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.size()&gt;2)
00444         {
00445                 <font class="comment">// Local vertices</font>
00446                 std::vector&lt;CVector&gt;    localVertices;
00447 
00448                 <font class="comment">// Build the BSP root</font>
00449                 CBSPNode2v root;
00450 
00451                 <font class="comment">// Build the local array and the BSP</font>
00452                 <a class="code" href="classNLMISC_1_1CPolygon.html#a10">toConvexPolygonsLocalAndBSP</a> (localVertices, root, basis);
00453 
00454                 <font class="comment">// Build a vertex list</font>
00455                 <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a> vertexList;
00456                 uint i;
00457                 <font class="keywordflow">for</font> (i=0; i&lt;<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.size(); i++)
00458                         vertexList.push_back (i);
00459 
00460                 <font class="comment">// Clip ears while there is some polygons</font>
00461                 <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a>::iterator current=vertexList.begin();
00462                 <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a>::iterator begin=vertexList.begin();
00463                 <font class="keywordflow">do</font>
00464                 {
00465 again:;
00466                         <font class="comment">// Search for a diagonal</font>
00467                         <font class="keywordtype">bool</font> found = <font class="keyword">false</font>;
00468 
00469                         <font class="comment">// Get next vertex</font>
00470                         <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a>::iterator first = current;
00471                         <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a>::iterator lastPreviousPrevious=current;
00472                         <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a>::iterator lastPrevious=current;
00473                         lastPrevious++;
00474                         <font class="keywordflow">if</font> (lastPrevious==vertexList.end())
00475                                 lastPrevious = vertexList.begin();
00476                         <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a>::iterator currentNext = lastPrevious;
00477                         <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a>::iterator last = lastPrevious;
00478                         last++;
00479                         <font class="keywordflow">if</font> (last==vertexList.end())
00480                                 last = vertexList.begin();
00481                         <font class="keywordflow">while</font> (last != current)
00482                         {
00483                                 <font class="comment">// Is a diagonal ?</font>
00484                                 <font class="keywordflow">if</font> ( 
00485                                         (<a class="code" href="classNLMISC_1_1CPolygon.html#d4">toConvexPolygonsDiagonal</a> (localVertices, root, *lastPreviousPrevious, *last)) &amp;&amp;
00486                                         (<a class="code" href="classNLMISC_1_1CPolygon.html#d4">toConvexPolygonsDiagonal</a> (localVertices, root, *currentNext, *last)) &amp;&amp;
00487                                         (<a class="code" href="classNLMISC_1_1CPolygon.html#d4">toConvexPolygonsDiagonal</a> (localVertices, root, *last, *current)) 
00488                                         )
00489                                 {
00490                                         <font class="comment">// Find one</font>
00491                                         found = <font class="keyword">true</font>;
00492                                 }
00493                                 <font class="keywordflow">else</font>
00494                                 {
00495                                         <font class="comment">// Come back</font>
00496                                         last = lastPrevious;
00497                                         lastPrevious = lastPreviousPrevious;
00498                                         <font class="keywordflow">break</font>;
00499                                 }
00500 
00501                                 <font class="comment">// Next vertex</font>
00502                                 lastPreviousPrevious = lastPrevious;
00503                                 lastPrevious = last++;
00504                                 <font class="keywordflow">if</font> (last==vertexList.end())
00505                                         last = vertexList.begin();
00506                         }
00507 
00508                         <font class="comment">// Last polygon ?</font>
00509                         <font class="keywordflow">if</font> (last==current)
00510                         {
00511                                 <font class="comment">// Add a polygon</font>
00512                                 outputPolygons.push_back (<a class="code" href="classNLMISC_1_1CPolygon.html#a0">CPolygon</a>());
00513                                 <a class="code" href="classNLMISC_1_1CPolygon.html#a0">CPolygon</a> &amp;back = outputPolygons.back ();
00514                                 back.Vertices.reserve (vertexList.size());
00515 
00516                                 <font class="comment">// Add each vertex in the new polygon</font>
00517                                 current=vertexList.begin();
00518                                 <font class="keywordflow">while</font> (current!=vertexList.end())
00519                                 {
00520                                         back.Vertices.push_back (<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[*current]);
00521                                         current++;
00522                                 }
00523 
00524                                 <font class="comment">// Exit</font>
00525                                 <font class="keywordflow">return</font> <font class="keyword">true</font>;
00526                         }
00527                         <font class="keywordflow">else</font>
00528                         {
00529                                 <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a>::iterator firstNext = current;
00530                                 <a class="code" href="classstd_1_1list.html">std::list&lt;uint&gt;</a>::iterator firstNextNext = currentNext;
00531                                 <font class="keywordflow">if</font> (first != vertexList.begin())
00532                                         first--;
00533                                 <font class="keywordflow">else</font>
00534                                 {
00535                                         first = vertexList.end();
00536                                         first--;
00537                                 }
00538 
00539                                 <font class="keywordflow">while</font> (current != first)
00540                                 {
00541                                         <font class="comment">// Is a diagonal ?</font>
00542                                         <font class="keywordflow">if</font> (
00543                                                 (<a class="code" href="classNLMISC_1_1CPolygon.html#d4">toConvexPolygonsDiagonal</a> (localVertices, root, *firstNextNext, *first)) &amp;&amp;
00544                                                 (<a class="code" href="classNLMISC_1_1CPolygon.html#d4">toConvexPolygonsDiagonal</a> (localVertices, root, *lastPrevious, *first)) &amp;&amp;
00545                                                 (<a class="code" href="classNLMISC_1_1CPolygon.html#d4">toConvexPolygonsDiagonal</a> (localVertices, root, *last, *first)) 
00546                                                 )
00547                                         {
00548                                                 <font class="comment">// Find one</font>
00549                                                 found = <font class="keyword">true</font>;
00550                                         }
00551                                         <font class="keywordflow">else</font>
00552                                         {
00553                                                 <font class="comment">// Come back</font>
00554                                                 first = firstNext;
00555                                                 <font class="keywordflow">break</font>;
00556                                         }
00557 
00558                                         <font class="comment">// Next vertex</font>
00559                                         firstNextNext = firstNext;
00560                                         firstNext = first;
00561                                         <font class="keywordflow">if</font> (first==vertexList.begin())
00562                                         {
00563                                                 first = vertexList.end();
00564                                                 first--;
00565                                         }
00566                                         <font class="keywordflow">else</font>
00567                                                 first--;
00568                                 }
00569                         }
00570 
00571                         <font class="comment">// Found ?</font>
00572                         <font class="keywordflow">if</font> (found)
00573                         {
00574                                 <font class="comment">// Count vertex</font>
00575                                 outputPolygons.push_back (<a class="code" href="classNLMISC_1_1CPolygon.html#a0">CPolygon</a>());
00576                                 <a class="code" href="classNLMISC_1_1CPolygon.html#a0">CPolygon</a> &amp;back = outputPolygons.back ();
00577 
00578                                 <font class="comment">// Vertex count</font>
00579                                 uint vertexCount = 1;
00580                                 current = first;
00581                                 <font class="keywordflow">while</font> (current != last)
00582                                 {
00583                                         vertexCount++;
00584                                         current++;
00585                                         <font class="keywordflow">if</font> (current == vertexList.end())
00586                                                 current = vertexList.begin();
00587                                 }
00588 
00589                                 <font class="comment">// Alloc vertices</font>
00590                                 back.Vertices.reserve (vertexCount);
00591 
00592                                 <font class="comment">// Copy and remove vertices</font>
00593                                 back.Vertices.push_back (<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[*first]);
00594                                 first++;
00595                                 <font class="keywordflow">if</font> (first == vertexList.end())
00596                                         first = vertexList.begin();
00597                                 <font class="keywordflow">while</font> (first != last)
00598                                 {
00599                                         back.Vertices.push_back (<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[*first]);
00600 
00601                                         <font class="comment">// Remove from list</font>
00602                                         first = vertexList.erase (first);
00603                                         <font class="keywordflow">if</font> (first == vertexList.end())
00604                                                 first = vertexList.begin();
00605                                         <a class="code" href="debug_8h.html#a6">nlassert</a> (first != vertexList.end());
00606                                 }
00607                                 back.Vertices.push_back (<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>[*first]);
00608                                 current = begin = last;
00609                                 <font class="keywordflow">goto</font> again;
00610                         }
00611 
00612                         <font class="comment">// Next current</font>
00613                         current++;
00614                         <font class="keywordflow">if</font> (current == vertexList.end())
00615                                 current = vertexList.begin ();
00616                 }
00617                 <font class="keywordflow">while</font> (current != begin);
00618         }
00619         <font class="keywordflow">return</font> <font class="keyword">false</font>;
00620 }
00621 
00622 <font class="comment">// ***************************************************************************</font>
00623 
<a name="l00624"></a><a class="code" href="classNLMISC_1_1CPolygon.html#a7">00624</a> <font class="keywordtype">bool</font> CPolygon::chain (<font class="keyword">const</font> std::vector&lt;CPolygon&gt; &amp;other, <font class="keyword">const</font> CMatrix&amp; basis)
00625 {
00626         <font class="comment">// Local vertices</font>
00627         std::vector&lt;CVector&gt;    localVertices;
00628 
00629         <font class="comment">// Build the BSP root</font>
00630         CBSPNode2v root;
00631 
00632         <font class="comment">// Build the local array and the BSP</font>
00633         <a class="code" href="classNLMISC_1_1CPolygon.html#a10">toConvexPolygonsLocalAndBSP</a> (localVertices, root, basis);
00634 
00635         <font class="comment">// Local vertices</font>
00636         std::vector&lt;std::vector&lt;CVector&gt; &gt;      localVerticesOther (other.size());
00637 
00638         <font class="comment">// Build the BSP root</font>
00639         std::vector&lt;CBSPNode2v&gt; rootOther (other.size());
00640 
00641         <font class="comment">// Build a copy of the polygons</font>
00642         std::vector&lt;CPolygon&gt; copy = other;
00643 
00644         <font class="comment">// Main copy</font>
00645         <a class="code" href="classNLMISC_1_1CPolygon.html#a0">CPolygon</a> mainCopy = *<font class="keyword">this</font>;
00646 
00647         <font class="comment">// For each other polygons</font>
00648         uint o;
00649         <font class="keywordflow">for</font> (o=0; o&lt;other.size(); o++)
00650         {
00651                 <font class="comment">// Build the local array and the BSP</font>
00652                 other[o].toConvexPolygonsLocalAndBSP (localVerticesOther[o], rootOther[o], basis);
00653         }
00654 
00655         <font class="comment">// Look for a couple..</font>
00656         uint thisCount = <a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.size();
00657         uint i, j;
00658         <font class="keywordflow">for</font> (o=0; o&lt;other.size(); o++)
00659         {
00660                 uint otherCount = other[o].Vertices.size();
00661 
00662                 <font class="comment">// Try to link in the main polygon</font>
00663                 <font class="keywordflow">for</font> (i=0; i&lt;thisCount; i++)
00664                 {
00665                         <font class="keywordflow">for</font> (j=0; j&lt;otherCount; j++)
00666                         {
00667                                 <font class="comment">// Test this segement</font>
00668                                 <font class="keywordflow">if</font> (!root.intersect (localVertices[i], localVerticesOther[o][j], i, 0xffffffff))
00669                                 {
00670                                         <font class="comment">// Test each other polygons</font>
00671                                         uint otherO;
00672                                         <font class="keywordflow">for</font> (otherO=0; otherO&lt;other.size(); otherO++)
00673                                         {
00674                                                 <font class="comment">// Intersect ?</font>
00675                                                 <font class="keywordflow">if</font> (rootOther[otherO].intersect (localVertices[i], localVerticesOther[o][j], 0xffffffff, (otherO == o)?j:0xffffffff))
00676                                                         <font class="keywordflow">break</font>;
00677                                         }
00678 
00679                                         <font class="comment">// Continue ?</font>
00680                                         <font class="keywordflow">if</font> (otherO==other.size())
00681                                         {
00682                                                 <font class="comment">// Insert new vertices</font>
00683                                                 mainCopy.Vertices.insert (mainCopy.Vertices.begin()+i, 2+otherCount, CVector());
00684 
00685                                                 <font class="comment">// Copy the first vertex</font>
00686                                                 mainCopy.Vertices[i] = mainCopy.Vertices[i+otherCount+2];
00687 
00688                                                 <font class="comment">// Copy the new vertices</font>
00689                                                 uint k;
00690                                                 <font class="keywordflow">for</font> (k=0; k&lt;otherCount; k++)
00691                                                 {
00692                                                         uint <a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a> = j+k;
00693                                                         <font class="keywordflow">if</font> (<a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>&gt;=otherCount)
00694                                                                 <a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a> -= otherCount;
00695                                                         mainCopy.Vertices[i+k+1] = copy[o].Vertices[<a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>];
00696                                                 }
00697 
00698                                                 <font class="comment">// Copy the last one</font>
00699                                                 mainCopy.Vertices[i+otherCount+1] = copy[o].Vertices[j];
00700                                                 <font class="keywordflow">break</font>;
00701                                         }
00702                                 }
00703                         }
00704                         <font class="keywordflow">if</font> (j!=otherCount)
00705                                 <font class="keywordflow">break</font>;
00706                 }
00707 
00708                 <font class="comment">// Not found ?</font>
00709                 <font class="keywordflow">if</font> (i==thisCount)
00710                 {
00711                         <font class="comment">// Try to link in the sub polygons</font>
00712                         uint otherToCheck;
00713                         <font class="keywordflow">for</font> (otherToCheck=o+1; otherToCheck&lt;other.size(); otherToCheck++)
00714                         {
00715                                 uint otherToCheckCount = other[otherToCheck].Vertices.size();
00716                                 <font class="keywordflow">for</font> (i=0; i&lt;otherToCheckCount; i++)
00717                                 {
00718                                         <font class="keywordflow">for</font> (j=0; j&lt;otherCount; j++)
00719                                         {
00720                                                 <font class="comment">// Test this segement</font>
00721                                                 <font class="keywordflow">if</font> (!rootOther[otherToCheck].intersect (localVerticesOther[otherToCheck][i], localVerticesOther[o][j], i, 0xffffffff))
00722                                                 {
00723                                                         <font class="comment">// Test each other polygons</font>
00724                                                         uint otherO;
00725                                                         <font class="keywordflow">for</font> (otherO=0; otherO&lt;other.size(); otherO++)
00726                                                         {
00727                                                                 <font class="comment">// Intersect ?</font>
00728                                                                 <font class="keywordflow">if</font> (rootOther[otherO].intersect (localVerticesOther[otherToCheck][i], localVerticesOther[o][j],  (otherToCheck == otherO)?i:0xffffffff,  (otherO == o)?j:0xffffffff))
00729                                                                         <font class="keywordflow">break</font>;
00730                                                         }
00731 
00732                                                         <font class="comment">// Continue ?</font>
00733                                                         <font class="keywordflow">if</font> (otherO==other.size())
00734                                                         {
00735                                                                 <font class="comment">// Insert new vertices</font>
00736                                                                 copy[otherToCheck].Vertices.insert (copy[otherToCheck].<a class="code" href="classNLMISC_1_1CPolygon.html#m0">Vertices</a>.begin()+i, 2+otherCount, CVector());
00737 
00738                                                                 <font class="comment">// Copy the first vertex</font>
00739                                                                 copy[otherToCheck].Vertices[i] = copy[otherToCheck].Vertices[i+otherCount+2];
00740 
00741                                                                 <font class="comment">// Copy the new vertices</font>
00742                                                                 uint k;
00743                                                                 <font class="keywordflow">for</font> (k=0; k&lt;otherCount; k++)
00744                                                                 {
00745                                                                         uint <a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a> = j+k;
00746                                                                         <font class="keywordflow">if</font> (<a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>&gt;=otherCount)
00747                                                                                 <a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a> -= otherCount;
00748                                                                         copy[otherToCheck].Vertices[i+k+1] = copy[otherO].Vertices[<a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>];
00749                                                                 }
00750 
00751                                                                 <font class="comment">// Copy the last one</font>
00752                                                                 copy[otherToCheck].Vertices[i+otherCount+1] = copy[otherO].Vertices[j];
00753                                                                 <font class="keywordflow">break</font>;
00754                                                         }
00755                                                 }
00756                                         }
00757                                         <font class="keywordflow">if</font> (j!=otherCount)
00758                                                 <font class="keywordflow">break</font>;
00759                                 }
00760                                 <font class="keywordflow">if</font> (i!=otherToCheckCount)
00761                                         <font class="keywordflow">break</font>;
00762                         }
00763                         <font class="keywordflow">if</font> (otherToCheck==other.size())
00764                         {
00765                                 <font class="comment">// Not ok</font>
00766                                 <font class="keywordflow">return</font> <font class="keyword">false</font>;
00767                         }
00768                 }
00769         }
00770 
00771         <font class="comment">// Ok</font>
00772         *<font class="keyword">this</font> = mainCopy;
00773         <font class="keywordflow">return</font> <font class="keyword">true</font>;
00774 }
00775 
00776 <font class="comment">// ***************************************************************************</font>
00777 
00778 
00779 <font class="comment">//====================================//</font>
00780 <font class="comment">//              CPolygon2d implementation     //</font>
00781 <font class="comment">//====================================//</font>
00782 
00783 
00784 
<a name="l00785"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a1">00785</a> CPolygon2D::CPolygon2D(<font class="keyword">const</font> CPolygon &amp;<a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>, <font class="keyword">const</font> CMatrix &amp;projMat)
00786 {
00787         uint size = <a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>.Vertices.size();
00788         <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.resize(size);
00789         <font class="keywordflow">for</font> (uint k = 0; k &lt; size; ++k)
00790         {
00791                 CVector proj = projMat * <a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>.Vertices[k];
00792                 <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[k].set(proj.x, proj.y);
00793         }
00794 }
00795 
00796 <font class="comment">// ***************************************************************************</font>
00797 
<a name="l00798"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a3">00798</a> <font class="keywordtype">bool</font>            CPolygon2D::isConvex()
00799 {
00800         <font class="keywordtype">bool</font> Front  = <font class="keyword">true</font>, Back = <font class="keyword">false</font>;       
00801         <font class="comment">// we apply a dummy algo for now : check wether every vertex is in the same side </font>
00802         <font class="comment">// of every plane defined by a segment of this poly</font>
00803         uint numVerts = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size();
00804         <font class="keywordflow">if</font> (numVerts &lt; 3) <font class="keywordflow">return</font> <font class="keyword">true</font>;
00805         CVector         segStart, segEnd;
00806         CPlane          clipPlane;
00807         <font class="keywordflow">for</font> (TVec2fVect::const_iterator it = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.begin(); it != <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.end(); ++it)
00808         {               
00809                 segStart.set(it-&gt;x, it-&gt;y, 0);            <font class="comment">// segment start</font>
00810                 segEnd.set((it + 1)-&gt;<a class="code" href="driver__opengl__extension__def_8h.html#a364">x</a>, (it + 1)-&gt;<a class="code" href="driver__opengl__extension__def_8h.html#a365">y</a>, 0);  <font class="comment">// segment end</font>
00811                 <font class="keywordtype">float</font> n = (segStart - segEnd).norm();     <font class="comment">// segment norm</font>
00812                 <font class="keywordflow">if</font> (n != 0)
00813                 {
00814                         clipPlane.make(segStart, segEnd, (n &gt; 10 ? n : 10) * CVector::K + segStart); <font class="comment">// make a plane, with this segment and the poly normal</font>
00815                         <font class="comment">// check each other vertices against this plane</font>
00816                         <font class="keywordflow">for</font> (TVec2fVect::const_iterator it2 = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.begin(); it2 != <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.end(); ++it2)
00817                         {
00818                                 <font class="keywordflow">if</font> (it2 != it &amp;&amp; it2 != (it + 1)) <font class="comment">// the vertices must not be part of the test plane (because of imprecision)</font>
00819                                 {
00820 
00821                                         <font class="keywordtype">float</font> dist  = clipPlane * CVector(it2-&gt;x, it2-&gt; <a class="code" href="driver__opengl__extension__def_8h.html#a365">y</a>, 0);
00822                                         <font class="keywordflow">if</font> (dist != 0) <font class="comment">// midlle pos</font>
00823                                         {
00824                                                 <font class="keywordflow">if</font> (dist &gt; 0) Front = <font class="keyword">true</font>; <font class="keywordflow">else</font> Back = <font class="keyword">true</font>;                                   
00825                                                 <font class="keywordflow">if</font> (Front &amp;&amp; Back) <font class="keywordflow">return</font> <font class="keyword">false</font>; <font class="comment">// there are both front end back vertices -&gt; failure</font>
00826                                         }
00827                                 }
00828                         }
00829                 }
00830         }
00831         <font class="keywordflow">return</font> <font class="keyword">true</font>;
00832 }
00833 
00834 <font class="comment">// ***************************************************************************</font>
00835 
<a name="l00836"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a4">00836</a> <font class="keywordtype">void</font>            CPolygon2D::buildConvexHull(CPolygon2D &amp;dest)<font class="keyword"> const</font>
00837 <font class="keyword"></font>{
00838         <a class="code" href="debug_8h.html#a6">nlassert</a>(&amp;dest != <font class="keyword">this</font>);
00839 
00840         <font class="keywordflow">if</font> (this-&gt;<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size() == 3) <font class="comment">// with 3 points it is always convex</font>
00841         {
00842                 dest = *<font class="keyword">this</font>;
00843                 <font class="keywordflow">return</font>;
00844         }
00845         uint k, <a class="code" href="namespaceNLAISCRIPT.html#a20">l</a>;
00846         uint numVerts = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size();        
00847         CVector2f p, curr, prev;
00848         uint      pIndex, p1Index, p2Index, pCurr, pPrev;
00849         <font class="comment">// this is not optimized, but not used in realtime.. =)</font>
00850         <a class="code" href="debug_8h.html#a6">nlassert</a>(numVerts &gt;= 3);
00851         dest.Vertices.clear();
00852 
00853         <font class="keyword">typedef</font> std::set&lt;uint&gt; TIndexSet;
00854         TIndexSet leftIndex;
00855         <font class="keywordflow">for</font> (k = 0; k &lt; <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size(); ++k)
00856         {
00857                 leftIndex.insert(k);
00858         }
00859         
00860 
00861         <font class="comment">// 1�) find the highest point p of the set. We are sure it belongs to the hull</font>
00862         pIndex = 0;
00863         p = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[0];
00864         <font class="keywordflow">for</font> (k = 1; k &lt; numVerts; ++k)
00865         {
00866                 <font class="keywordflow">if</font> (<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[k].y &lt; p.y)
00867                 {
00868                         pIndex = k;
00869                         p = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[k];
00870                 }
00871         }
00872 
00873         leftIndex.erase(pIndex);
00874 
00875 
00876         <font class="keywordtype">float</font> bestCP = 1.1f;
00877         p1Index = p2Index = pIndex;
00878 
00879         <font class="keywordflow">for</font> (k = 0; k &lt; numVerts; ++k)
00880         {
00881                 <font class="keywordflow">if</font> (k != pIndex)
00882                 {
00883                         <font class="keywordflow">for</font> (<a class="code" href="namespaceNLAISCRIPT.html#a20">l</a> = 0; <a class="code" href="namespaceNLAISCRIPT.html#a20">l</a> &lt; numVerts; ++<a class="code" href="namespaceNLAISCRIPT.html#a20">l</a>)
00884                         {
00885                                 <font class="keywordflow">if</font> (<a class="code" href="namespaceNLAISCRIPT.html#a20">l</a> != pIndex &amp;&amp; <a class="code" href="namespaceNLAISCRIPT.html#a20">l</a> != k)
00886                                 {
00887                                         CVector2f seg1 = (<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[<a class="code" href="namespaceNLAISCRIPT.html#a20">l</a>] - p).normed();
00888                                         CVector2f seg2 = (<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[k] - p).normed();
00889 
00890                                         <font class="comment">//CVector cp = CVector(seg1.x, seg1.y, 0) ^ CVector(seg2.x, seg2.y, 0);</font>
00891                                         <font class="comment">//float n = fabsf(cp.z);</font>
00892                                         <font class="keywordtype">float</font> n = seg1 * seg2;
00893                                         <font class="keywordflow">if</font> (n &lt; bestCP)
00894                                         {
00895                                                 p1Index = <a class="code" href="namespaceNLAISCRIPT.html#a20">l</a>;
00896                                                 p2Index = k;
00897                                                 bestCP  = n;
00898                                         }
00899                                 }
00900                         }
00901                 }
00902         }
00903 
00904 
00905         leftIndex.erase(p2Index);
00906 
00907         
00908 
00909         <font class="comment">// start from the given triplet, and complete the poly until we reach the first point</font>
00910         pCurr = p2Index;
00911         pPrev = pIndex;
00912 
00913         curr = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[pCurr];
00914         prev = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[pPrev];
00915 
00916         <font class="comment">// create the first triplet vertices</font>
00917         dest.Vertices.push_back(<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[p1Index]);
00918         dest.Vertices.push_back(prev);
00919         dest.Vertices.push_back(curr); 
00920 
00921         uint step = 0;
00922 
00923         <font class="keywordflow">for</font>(;;)
00924         {               
00925                 bestCP = 1.1f;          
00926                 CVector2f seg2 = (prev - curr).normed();
00927                 TIndexSet::const_iterator bestIt = leftIndex.end();
00928                 <font class="keywordflow">for</font> (TIndexSet::const_iterator it =  leftIndex.begin(); it != leftIndex.end(); ++it)
00929                 {       
00930                         <font class="keywordflow">if</font> (step == 0 &amp;&amp; *it == p1Index) <font class="keywordflow">continue</font>;
00931                         CVector2f seg1 = (<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[*it] - curr).normed();                                                       
00932                         <font class="keywordtype">float</font> n = seg1 * seg2;
00933                         <font class="keywordflow">if</font> (n &lt; bestCP)
00934                         {                               
00935                                 bestCP = n;
00936                                 bestIt = it;                            
00937                         }                       
00938                 }
00939 
00940                 <a class="code" href="debug_8h.html#a6">nlassert</a>(bestIt != leftIndex.end());            
00941                 <font class="keywordflow">if</font> (*bestIt == p1Index)
00942                 {                       
00943                         <font class="keywordflow">return</font>; <font class="comment">// if we reach the start point we have finished</font>
00944                 }                               
00945                 prev = curr;
00946                 curr = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[*bestIt];
00947                 pPrev = pCurr;
00948                 pCurr = *bestIt;
00949                 <font class="comment">// add new point to the destination</font>
00950                 dest.Vertices.push_back(curr);
00951                 ++step;
00952                 leftIndex.erase(bestIt);
00953         }
00954 }
00955 
00956 <font class="comment">// ***************************************************************************</font>
00957 
00958 
<a name="l00959"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a6">00959</a> <font class="keywordtype">void</font> CPolygon2D::serial(<a class="code" href="classNLMISC_1_1IStream.html">NLMISC::IStream</a> &amp;f) <font class="keywordflow">throw</font>(NLMISC::EStream)
00960 {
00961         (void)f.serialVersion(0);
00962         f.serialCont(Vertices);
00963 }
00964 
00965 <font class="comment">// ***************************************************************************</font>
<a name="l00967"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a5">00967</a> <font class="comment">void            CPolygon2D::getBestTriplet(uint &amp;index0, uint &amp;index1, uint &amp;index2)</font>
00968 {
00969         <a class="code" href="debug_8h.html#a6">nlassert</a>(Vertices.size() &gt;= 3);
00970         uint i, j, k;
00971         <font class="keywordtype">float</font> bestArea = 0.f;
00972         <font class="keyword">const</font> uint numVerts = Vertices.size();
00973         <font class="keywordflow">for</font> (i = 0; i &lt; numVerts; ++i)
00974         {
00975                 <font class="keywordflow">for</font> (j = 0; j &lt; numVerts; ++j)
00976                 {
00977                         <font class="keywordflow">if</font> (i != j)
00978                         {
00979                                 <font class="keywordflow">for</font> (k = 0; k &lt; numVerts; ++k)
00980                                 {
00981                                         <font class="keywordflow">if</font> (k != i &amp;&amp; k != j)
00982                                         {
00983                                                 CVector2f v0 = Vertices[j] - Vertices[i];
00984                                                 CVector2f v1 = Vertices[k] - Vertices[i];                                               
00985                                                 <font class="keywordtype">float</font> area = fabsf((CVector(v0.x, v0.y, 0) ^ CVector(v1.x, v1.y, 0)).norm());
00986                                                 <font class="keywordflow">if</font> (area &gt; bestArea)
00987                                                 {
00988                                                         bestArea = area;
00989                                                         index0 = i;
00990                                                         index1 = j;
00991                                                         index2 = k;
00992                                                 }
00993                                         }
00994                                 }
00995                         }
00996                 }
00997         }
00998 }
00999 
01000 
01002 <font class="comment">// scan a an edge of a poly and write it into a table</font>
01003 <font class="keyword">static</font> <font class="keywordtype">void</font> <a class="code" href="namespaceNLMISC.html#a309">ScanEdge</a>(CPolygon2D::TRasterVect &amp;outputVect, sint topY, <font class="keyword">const</font> CVector2f &amp;v1, <font class="keyword">const</font> CVector2f &amp;v2, <font class="keywordtype">bool</font> rightEdge = <font class="keyword">true</font>)
01004 {
01005          <font class="keyword">const</font> uint rol16 = 65536;
01006          sint ceilY1 = (sint) ceilf(v1.y);
01007          sint <a class="code" href="driver__opengl__extension__def_8h.html#a390">height</a>;
01008          <font class="keywordtype">float</font> deltaX, deltaY;
01009          <font class="keywordtype">float</font> fInverseSlope;
01010          sint  iInverseSlope, iPosX;
01011 
01012          <font class="comment">// check wether this segment gives a contribution to the final poly</font>
01013          <a class="code" href="driver__opengl__extension__def_8h.html#a390">height</a> = (sint) (ceilf(v2.y) - ceilY1);
01014          <font class="keywordflow">if</font> (<a class="code" href="driver__opengl__extension__def_8h.html#a390">height</a> &lt;= 0) <font class="keywordflow">return</font>;
01015 
01016          <font class="comment">// compute slope</font>
01017          deltaY = v2.y - v1.y;
01018          deltaX = v2.x - v1.x;
01019          fInverseSlope = deltaX / deltaY;
01020 
01021          
01022          CPolygon2D::TRasterVect::iterator  outputIt = outputVect.begin() + (ceilY1 - topY);
01023 
01024          <font class="comment">// slope with ints</font>
01025          iInverseSlope = (sint) (rol16 * fInverseSlope);         
01026 
01027          <font class="comment">// sub-pixel accuracy</font>
01028          iPosX = (int) (rol16 * (v1.x + fInverseSlope * (ceilY1 - v1.y))); 
01029 
01030          <font class="keyword">const</font> CPolygon2D::TRasterVect::iterator endIt = outputIt + <a class="code" href="driver__opengl__extension__def_8h.html#a390">height</a>;
01031          <font class="keywordflow">if</font> (rightEdge)
01032          {              
01033                  <font class="keywordflow">do</font>
01034                  {
01035                    outputIt-&gt;second =  iPosX &gt;&gt; 16;     
01036                    iPosX += iInverseSlope;
01037                    ++outputIt;
01038                  }
01039                  <font class="keywordflow">while</font> (outputIt != endIt);
01040          }
01041          <font class="keywordflow">else</font>
01042          {      
01043                  iPosX += (rol16 - 1);
01044                  <font class="keywordflow">do</font>
01045                  {
01046                    outputIt-&gt;first =  iPosX &gt;&gt; 16;      
01047                    iPosX += iInverseSlope;
01048                    ++outputIt;
01049                  }
01050                  <font class="keywordflow">while</font> (outputIt != endIt);
01051          }
01052 }
01053 
01054 
01055 <font class="comment">// *******************************************************************************</font>
01056 <font class="comment">// This function alow to cycle forward through a vertex vector like if it was a circular list</font>
01057 <font class="keyword">static</font> <font class="keyword">inline</font> CPolygon2D::TVec2fVect::const_iterator <a class="code" href="namespaceNLMISC.html#a310">Next</a>(<font class="keyword">const</font> CPolygon2D::TVec2fVect::const_iterator &amp;it, <font class="keyword">const</font> CPolygon2D::TVec2fVect &amp;cont)
01058 {
01059         <a class="code" href="debug_8h.html#a6">nlassert</a>(cont.size() != 0);
01060         <font class="keywordflow">if</font> ((it + 1) == cont.end()) <font class="keywordflow">return</font> cont.begin();
01061         <font class="keywordflow">return</font> (it + 1);
01062 }
01063 
01064 
01065 <font class="comment">// *******************************************************************************</font>
01066 <font class="comment">// This function alow to cycle backward through a (non null) vertex vector like if it was a circular list</font>
01067 <font class="keyword">static</font> <font class="keyword">inline</font> CPolygon2D::TVec2fVect::const_iterator <a class="code" href="namespaceNLMISC.html#a311">Prev</a>(<font class="keyword">const</font> CPolygon2D::TVec2fVect::const_iterator &amp;it, <font class="keyword">const</font> CPolygon2D::TVec2fVect &amp;cont)
01068 {
01069         <a class="code" href="debug_8h.html#a6">nlassert</a>(cont.size() != 0);
01070         <font class="keywordflow">if</font> (it == cont.begin()) <font class="keywordflow">return</font> cont.end() - 1;
01071         <font class="keywordflow">return</font> (it - 1);
01072 }
01073 
01074 <font class="comment">// *******************************************************************************</font>
<a name="l01075"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a7">01075</a> <font class="keywordtype">void</font>    CPolygon2D::computeBorders(TRasterVect &amp;borders, sint &amp;highestY)
01076 {
01077         <font class="comment">// an 'alias' to the vertices</font>
01078         <font class="keyword">const</font> <a class="code" href="classNLMISC_1_1CPolygon2D.html#s0">TVec2fVect</a> &amp;V = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>;
01079         <font class="keywordflow">if</font> (<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size() &lt; 3)
01080         {
01081                 borders.clear();
01082                 <font class="keywordflow">return</font>;
01083         }
01084         <font class="keywordtype">bool</font>    ccw;  <font class="comment">// set to true when it has a counter clock wise orientation</font>
01085                    
01086         <font class="comment">// compute highest and lowest pos of the poly</font>
01087         <font class="keywordtype">float</font> fHighest = V[0].y;
01088         <font class="keywordtype">float</font> fLowest  = fHighest;
01089 
01090         <font class="comment">// iterators to the thighest and lowest vertex</font>
01091         TVec2fVect::const_iterator pLowest = V.begin(), pHighest = V.begin();
01092         TVec2fVect::const_iterator it = V.begin() ;
01093         <font class="keyword">const</font> TVec2fVect::const_iterator endIt = V.end();
01094         <font class="keywordflow">do</font>
01095         {
01096                 <font class="keywordflow">if</font> (it-&gt;y &gt; fLowest)
01097                 {
01098                         fLowest = it-&gt;y;
01099                         pLowest = it;
01100                 }
01101                 <font class="keywordflow">else</font>
01102                 <font class="keywordflow">if</font> (it-&gt;y &lt; fHighest)
01103                 {
01104                         fHighest = it-&gt;y;
01105                         pHighest = it;
01106                 }
01107                 ++it;
01108         }
01109         <font class="keywordflow">while</font> (it != endIt);
01110         
01111 
01112         sint iHighest = (sint) ceilf(fHighest) ;
01113         sint iLowest  = (sint) ceilf(fLowest) ;
01114 
01115         highestY = iHighest;
01116 
01117 
01119         uint polyHeight = iLowest - iHighest;
01120         <font class="keywordflow">if</font> (polyHeight &lt;= 0)
01121         {
01122                 borders.clear();
01123                 <font class="keywordflow">return</font>;
01124         }
01125 
01126         borders.resize(polyHeight);
01127 
01128         <font class="comment">// iterator to the first vertex that has an y different from the top vertex</font>
01129         TVec2fVect::const_iterator pHighestRight = pHighest; 
01130         <font class="comment">// we seek this vertex  </font>
01131         <font class="keywordflow">while</font> (<a class="code" href="namespaceNLMISC.html#a310">Next</a>(pHighestRight, V)-&gt;y == fHighest)
01132         {
01133                 pHighestRight = <a class="code" href="namespaceNLMISC.html#a310">Next</a>(pHighestRight, V);
01134         }       
01135 
01136         <font class="comment">// iterator to the first vertex after pHighestRight, that has the same y than the highest vertex</font>
01137         TVec2fVect::const_iterator pHighestLeft = <a class="code" href="namespaceNLMISC.html#a310">Next</a>(pHighestRight, V);
01138         <font class="comment">// seek the vertex</font>
01139         <font class="keywordflow">while</font> (pHighestLeft-&gt;y != fHighest)
01140         {
01141                 pHighestLeft = <a class="code" href="namespaceNLMISC.html#a310">Next</a>(pHighestLeft, V);
01142         }
01143 
01144         TVec2fVect::const_iterator pPrevHighestLeft = <a class="code" href="namespaceNLMISC.html#a311">Prev</a>(pHighestLeft, V);
01145   
01146         <font class="comment">// we need to get the orientation of the polygon</font>
01147         <font class="comment">// There are 2 case : flat, and non-flat top</font>
01148 
01149         <font class="comment">// check for flat top</font>
01150         <font class="keywordflow">if</font> (pHighestLeft-&gt;x != pHighestRight-&gt;x)
01151         {
01152                 <font class="comment">// compare right and left side</font>
01153                 <font class="keywordflow">if</font> (pHighestLeft-&gt;x&gt; pHighestRight-&gt;x)
01154                 {
01155                         ccw = <font class="keyword">true</font>;  <font class="comment">// the list is CCW oriented</font>
01156                         std::swap(pHighestLeft, pHighestRight);         
01157                 }
01158                 <font class="keywordflow">else</font>
01159                 {
01160                         ccw = <font class="keyword">false</font>; <font class="comment">// the list is CW oriented </font>
01161                 }
01162         }
01163         <font class="keywordflow">else</font>
01164         {
01165                 <font class="comment">// The top of the poly is sharp</font>
01166                 <font class="comment">// We perform a cross product of the 2 highest vect to get its orientation</font>
01167 
01168                  <font class="keyword">const</font> <font class="keywordtype">float</font> deltaXN = <a class="code" href="namespaceNLMISC.html#a310">Next</a>(pHighestRight, V)-&gt;x - pHighestRight-&gt;x;
01169                  <font class="keyword">const</font> <font class="keywordtype">float</font> deltaYN = <a class="code" href="namespaceNLMISC.html#a310">Next</a>(pHighestRight, V)-&gt;y - pHighestRight-&gt;y;
01170                  <font class="keyword">const</font> <font class="keywordtype">float</font> deltaXP = pPrevHighestLeft-&gt;x - pHighestLeft-&gt;x;
01171                  <font class="keyword">const</font> <font class="keywordtype">float</font> deltaYP = pPrevHighestLeft-&gt;y - pHighestLeft-&gt;y;
01172                  <font class="keywordflow">if</font> ((deltaXN * deltaYP - deltaYN * deltaXP) &lt; 0)
01173                  {
01174                         ccw = <font class="keyword">true</font>;  <font class="comment">// the list is CCW oriented</font>
01175                         std::swap(pHighestLeft, pHighestRight);                            
01176                  }
01177                  <font class="keywordflow">else</font>
01178                  {
01179                         ccw = <font class="keyword">false</font>; <font class="comment">// the list is CW oriented</font>
01180                  }
01181         }
01182 
01183 
01184         <font class="comment">// compute borders</font>
01185         TVec2fVect::const_iterator currV, nextV; <font class="comment">// current and next vertex</font>
01186         <font class="keywordflow">if</font> (!ccw) <font class="comment">// clock wise order ?</font>
01187         {
01188                 currV = pHighestRight ;
01189                 <font class="comment">// compute right edge from top to bottom</font>
01190                 <font class="keywordflow">do</font>
01191                 {
01192                         nextV = <a class="code" href="namespaceNLMISC.html#a310">Next</a>(currV, V);
01193                         <a class="code" href="namespaceNLMISC.html#a309">ScanEdge</a>(borders, iHighest, *currV, *nextV, <font class="keyword">true</font>);
01194             currV = nextV;            
01195                 }
01196                 <font class="keywordflow">while</font> (currV != pLowest); <font class="comment">// repeat until we reach the bottom vertex</font>
01197 
01198                 <font class="comment">// compute left edge from bottom to top</font>
01199                 <font class="keywordflow">do</font>
01200                 {
01201                         nextV = <a class="code" href="namespaceNLMISC.html#a310">Next</a>(currV, V);
01202                         <a class="code" href="namespaceNLMISC.html#a309">ScanEdge</a>(borders, iHighest, *nextV, *currV, <font class="keyword">false</font>);
01203                         currV = nextV;
01204                 }
01205                 <font class="keywordflow">while</font> (currV != pHighestLeft);
01206         }
01207         <font class="keywordflow">else</font> <font class="comment">// ccw order</font>
01208         {        
01209                 currV = pHighestLeft;
01210                 <font class="comment">// compute left edge from top to bottom</font>
01211                 <font class="keywordflow">do</font>
01212                 {
01213                         nextV = <a class="code" href="namespaceNLMISC.html#a310">Next</a>(currV, V);
01214                         <a class="code" href="namespaceNLMISC.html#a309">ScanEdge</a>(borders, iHighest, *currV, *nextV, <font class="keyword">false</font>) ;
01215                         currV = nextV;
01216                 }
01217                 <font class="keywordflow">while</font> (currV != pLowest) ;
01218 
01219                 <font class="comment">// compute right edge from bottom to top</font>
01220                 <font class="keywordflow">do</font>
01221                 {
01222                         nextV = <a class="code" href="namespaceNLMISC.html#a310">Next</a>(currV, V);
01223                         <a class="code" href="namespaceNLMISC.html#a309">ScanEdge</a>(borders, iHighest, *nextV, *currV, <font class="keyword">true</font>);
01224                         currV = nextV;
01225                 }
01226                 <font class="keywordflow">while</font> (currV != pHighestRight)  ;
01227         }
01228 }
01229 
01230 <font class="comment">// *******************************************************************************</font>
<a name="l01232"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#c0">01232</a> <font class="comment">float           CPolygon2D::sumDPAgainstLine(float a, float b, float c) const</font>
01233 {
01234         <font class="keywordtype">float</font> sum = 0.f;
01235         <font class="keywordflow">for</font> (uint k = 0; k &lt; Vertices.size(); ++k)
01236         {
01237                 <font class="keyword">const</font> CVector2f &amp;p = Vertices[k];
01238                 sum += a * p.x + b * p.y + c;
01239         }
01240         <font class="keywordflow">return</font> sum;
01241 }
01242 
01243 
01244 <font class="comment">// *******************************************************************************      </font>
<a name="l01245"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a10">01245</a> <font class="keywordtype">bool</font>  CPolygon2D::getNonNullSeg(uint &amp;<a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>)<font class="keyword"> const</font>
01246 <font class="keyword"></font>{
01247         <a class="code" href="debug_8h.html#a6">nlassert</a>(<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size() &gt; 0);
01248         <font class="keywordtype">float</font> bestLength = 0.f;
01249         sint  bestIndex = -1;
01250         <font class="keywordflow">for</font> (uint k = 0; k &lt; <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size() - 1; ++k)
01251         {
01252                 <font class="keywordtype">float</font> norm2 = (<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[k + 1] - <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[k]).sqrnorm();
01253                 <font class="keywordflow">if</font> ( norm2 &gt; bestLength)
01254                 {
01255                         bestLength = norm2;
01256                         bestIndex = (int) k;
01257                 }
01258         }
01259         <font class="keywordtype">float</font> norm2 = (<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size() - 1] - <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[0]).sqrnorm();
01260         <font class="keywordflow">if</font> ( norm2 &gt; bestLength) 
01261         { 
01262                 <a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a> = <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size() - 1;
01263                 <font class="keywordflow">return</font> <font class="keyword">true</font>;
01264         }
01265 
01266         <font class="keywordflow">if</font> (bestIndex != -1)
01267         {
01268                 <a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a> = bestIndex;
01269                 <font class="keywordflow">return</font> <font class="keyword">true</font>;
01270         }
01271         <font class="keywordflow">else</font>
01272         {
01273                 <font class="keywordflow">return</font> <font class="keyword">false</font>;
01274         }       
01275 }
01276 
01277 
01278 <font class="comment">// *******************************************************************************      </font>
<a name="l01279"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a11">01279</a> <font class="keywordtype">void</font>  CPolygon2D::getLineEquation(uint <a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>, <font class="keywordtype">float</font> &amp;a, <font class="keywordtype">float</font> &amp;b, <font class="keywordtype">float</font> &amp;c)<font class="keyword"> const</font>
01280 <font class="keyword"></font>{
01281         <a class="code" href="debug_8h.html#a6">nlassert</a>(<a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a> &lt; <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size());
01282         <font class="keyword">const</font> CVector2f &amp;v0 = <a class="code" href="classNLMISC_1_1CPolygon2D.html#c1">getSegRef0</a>(<a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>);
01283         <font class="keyword">const</font> CVector2f &amp;v1 = <a class="code" href="classNLMISC_1_1CPolygon2D.html#c2">getSegRef1</a>(<a class="code" href="driver__opengl__extension__def_8h.html#a358">index</a>);
01284         
01285         <a class="code" href="classNLMISC_1_1CVector2f.html">NLMISC::CVector2f</a> seg = v0 - v1;
01286         a = seg.<a class="code" href="classNLMISC_1_1CVector2f.html#m1">y</a>;
01287         b = - seg.<a class="code" href="classNLMISC_1_1CVector2f.html#m0">x</a>;
01288         c = - v0.x * a - v0.y * b;
01289 }
01290 
01291 <font class="comment">// *******************************************************************************</font>
<a name="l01292"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a8">01292</a> <font class="keywordtype">bool</font>        CPolygon2D::intersect(<font class="keyword">const</font> CPolygon2D &amp;other)<font class="keyword"> const</font>
01293 <font class="keyword"></font>{
01294         <a class="code" href="debug_8h.html#a6">nlassert</a>(other.Vertices.size() &gt; 0);
01295         uint nonNullSegIndex;
01297         <font class="keywordflow">if</font> (<a class="code" href="classNLMISC_1_1CPolygon2D.html#a10">getNonNullSeg</a>(nonNullSegIndex))
01298         {
01299                 <font class="keywordtype">float</font> a0, b0, c0; 
01300                 <a class="code" href="classNLMISC_1_1CPolygon2D.html#a11">getLineEquation</a>(nonNullSegIndex, a0, b0, c0);
01301                 <font class="keywordtype">float</font> orient = <a class="code" href="classNLMISC_1_1CPolygon2D.html#c0">sumDPAgainstLine</a>(a0, b0, c0);
01302 
01303                 <font class="keywordflow">for</font> (uint k = 0; k &lt; <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size(); ++k)
01304                 {
01306                     <font class="keywordflow">if</font> ( (<a class="code" href="classNLMISC_1_1CPolygon2D.html#c1">getSegRef0</a>(k) - <a class="code" href="classNLMISC_1_1CPolygon2D.html#c2">getSegRef1</a>(k)).sqrnorm() == 0.f) <font class="keywordflow">continue</font>;
01307 
01309                         <font class="keywordtype">float</font> a, b, c; 
01310                         <a class="code" href="classNLMISC_1_1CPolygon2D.html#a11">getLineEquation</a>(k, a, b, c);
01311                         uint <a class="code" href="namespaceNLAISCRIPT.html#a20">l</a>;
01312                         <font class="keywordflow">for</font> (<a class="code" href="namespaceNLAISCRIPT.html#a20">l</a> = 0; <a class="code" href="namespaceNLAISCRIPT.html#a20">l</a> &lt; other.Vertices.size(); ++<a class="code" href="namespaceNLAISCRIPT.html#a20">l</a>)
01313                         {
01314                                 <font class="keyword">const</font> CVector2f &amp;ov = other.Vertices[<a class="code" href="namespaceNLAISCRIPT.html#a20">l</a>];
01315                                 <font class="keywordflow">if</font> ( orient * (ov.x * a + ov.y * b +c) &gt; 0.f) <font class="keywordflow">break</font>;
01316                         }
01317                         <font class="keywordflow">if</font> (<a class="code" href="namespaceNLAISCRIPT.html#a20">l</a> == other.Vertices.size()) <font class="comment">// all point on the outside</font>
01318                         {
01319                                 <font class="keywordflow">return</font> <font class="keyword">false</font>; <font class="comment">// outside</font>
01320                         }
01321                 }
01322                 <font class="keywordflow">return</font> <font class="keyword">true</font>;
01323         }
01324         <font class="keywordflow">else</font> <font class="comment">// this poly is just a point</font>
01325         {
01326                 <font class="keywordflow">return</font> other.contains(<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[0]);
01327         }
01328 }
01329 
01330 <font class="comment">// *******************************************************************************</font>
<a name="l01331"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a9">01331</a> <font class="keywordtype">bool</font>            CPolygon2D::contains(<font class="keyword">const</font> CVector2f &amp;p)<font class="keyword"> const</font>
01332 <font class="keyword"></font>{
01333         <a class="code" href="debug_8h.html#a6">nlassert</a>(<a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size() &gt; 0);
01334         uint nonNullSegIndex;
01336         <font class="keywordflow">if</font> (<a class="code" href="classNLMISC_1_1CPolygon2D.html#a10">getNonNullSeg</a>(nonNullSegIndex))
01337         {
01338                 <font class="keywordtype">float</font> a0, b0, c0; 
01339                 <a class="code" href="classNLMISC_1_1CPolygon2D.html#a11">getLineEquation</a>(nonNullSegIndex, a0, b0, c0);
01340 
01341                 <font class="keywordflow">for</font> (uint k = 0; k &lt; <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.size(); ++k)
01342                 {
01344                     <font class="keywordflow">if</font> ( (<a class="code" href="classNLMISC_1_1CPolygon2D.html#c1">getSegRef0</a>(k) - <a class="code" href="classNLMISC_1_1CPolygon2D.html#c2">getSegRef1</a>(k)).sqrnorm() == 0.f) <font class="keywordflow">continue</font>;
01345 
01347                         <font class="keywordtype">float</font> a, b, c; 
01348                         <a class="code" href="classNLMISC_1_1CPolygon2D.html#a11">getLineEquation</a>(k, a, b, c);
01349 
01350                         <font class="keywordflow">if</font> (a * p.x + b * p.y + c &lt; 0) <font class="keywordflow">return</font> <font class="keyword">false</font>;
01351                         
01352                 }
01353                 <font class="keywordflow">return</font> <font class="keyword">true</font>;
01354         }
01355         <font class="keywordflow">else</font> <font class="comment">// this poly is just a point</font>
01356         {
01357                 <font class="keywordflow">return</font> p == <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[0];
01358         }               
01359 }
01360 
01361 
01362 <font class="comment">// *******************************************************************************</font>
<a name="l01363"></a><a class="code" href="classNLMISC_1_1CPolygon2D.html#a2">01363</a> CPolygon2D::CPolygon2D(<font class="keyword">const</font> CTriangle &amp;tri, <font class="keyword">const</font> CMatrix &amp;projMat)
01364 {
01365         <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>.resize(3);
01366         <a class="code" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> proj[3] = { projMat * tri.V0, projMat * tri.V1, projMat * tri.V2 };
01367         <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[0].set(proj[0].<a class="code" href="driver__opengl__extension__def_8h.html#a364">x</a>, proj[0].<a class="code" href="driver__opengl__extension__def_8h.html#a365">y</a>);
01368         <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[1].set(proj[1].<a class="code" href="driver__opengl__extension__def_8h.html#a364">x</a>, proj[1].<a class="code" href="driver__opengl__extension__def_8h.html#a365">y</a>);
01369         <a class="code" href="classNLMISC_1_1CPolygon2D.html#m0">Vertices</a>[2].set(proj[2].<a class="code" href="driver__opengl__extension__def_8h.html#a364">x</a>, proj[2].<a class="code" href="driver__opengl__extension__def_8h.html#a365">y</a>);
01370 }
01371 
01372 } <font class="comment">// NLMISC</font>
</pre></div>

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