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+<hr><h1>bezier_patch.cpp</h1><a href="bezier__patch_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="std3d_8h.html">std3d.h</a>"</font>
+00027
+00028 <font class="preprocessor">#include "<a class="code" href="bezier__patch_8h.html">3d/bezier_patch.h</a>"</font>
+00029 <font class="keyword">using</font> <font class="keyword">namespace </font>NLMISC;
+00030
+00031
+00032 <font class="keyword">namespace </font>NL3D {
+00033
+00034
+00035 <font class="comment">// ***************************************************************************</font>
+<a name="l00036"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#a1">00036</a> <font class="keywordtype">void</font> CBezierPatch::make(CVector vertices[4], CVector normals[4])
+00037 {
+00038 sint i;
+00039 <font class="keyword">static</font> sint starts[8]= {0,1, 1,2, 2,3, 3,0};
+00040 <font class="keyword">static</font> sint ends[8]= {1,0, 2,1, 3,2, 0,3};
+00041
+00042 <font class="keywordflow">for</font>(i=0;i&lt;4;i++)
+00043 <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[i]= vertices[i];
+00044
+00045 <font class="comment">// For all tangents.</font>
+00046 <font class="keywordflow">for</font>(i=0;i&lt;8;i++)
+00047 {
+00048 CVector tgt= <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[ends[i]] - <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[starts[i]];
+00049 CVector I,J,K;
+00050 J= normals[starts[i]];
+00051 I= J^tgt;
+00052 K= I^J;
+00053 K.normalize();
+00054 <font class="comment">// Yes, we store tangents as position, not vectors...</font>
+00055 <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[i]= <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[starts[i]] + K*tgt.norm()/3;
+00056 }
+00057
+00058 <a class="code" href="classNL3D_1_1CBezierPatch.html#a2">makeInteriors</a>();
+00059 }
+00060 <font class="comment">// ***************************************************************************</font>
+<a name="l00061"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#a2">00061</a> <font class="keywordtype">void</font> CBezierPatch::makeInteriors()
+00062 {
+00063 CVector &amp;a = <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0];
+00064 CVector &amp;b = <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1];
+00065 CVector &amp;c = <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2];
+00066 CVector &amp;d = <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[3];
+00067 <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[0] = <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[7] + <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[0] - a;
+00068 <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[1] = <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[1] + <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[2] - b;
+00069 <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[2] = <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[3] + <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[4] - c;
+00070 <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[3] = <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[5] + <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[6] - d;
+00071 }
+00072 <font class="comment">// ***************************************************************************</font>
+<a name="l00073"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#a3">00073</a> <font class="keywordtype">void</font> CBezierPatch::applyMatrix(<font class="keyword">const</font> CMatrix &amp;m)
+00074 {
+00075 sint i;
+00076
+00077 <font class="keywordflow">for</font>(i=0;i&lt;4;i++)
+00078 <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[i]= m*<a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[i];
+00079 <font class="keywordflow">for</font>(i=0;i&lt;8;i++)
+00080 <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[i]= m*<a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[i];
+00081 <font class="keywordflow">for</font>(i=0;i&lt;4;i++)
+00082 <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[i]= m*<a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[i];
+00083 }
+00084
+00085
+00086 <font class="comment">// ***************************************************************************</font>
+00087 <font class="keyword">static</font> <font class="keyword">inline</font> <font class="keywordtype">void</font> <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(CVector &amp;tgt, <font class="keyword">const</font> CVector &amp;<a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>, <font class="keywordtype">float</font> f)
+00088 {
+00089 tgt.x+= <a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>.x*f;
+00090 tgt.y+= <a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>.y*f;
+00091 tgt.z+= <a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>.z*f;
+00092 }
+00093
+00094
+00095 <font class="comment">// ***************************************************************************</font>
+00096 <font class="keyword">static</font> <font class="keyword">inline</font> <font class="keywordtype">void</font> <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(CVectorD &amp;tgt, <font class="keyword">const</font> CVector &amp;<a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>, <font class="keywordtype">double</font> f)
+00097 {
+00098 tgt.x+= <a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>.x*f;
+00099 tgt.y+= <a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>.y*f;
+00100 tgt.z+= <a class="code" href="driver__opengl__extension__def_8h.html#a409">src</a>.z*f;
+00101 }
+00102
+00103
+00104 <font class="comment">// ***************************************************************************</font>
+<a name="l00105"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#a4">00105</a> CVector CBezierPatch::eval(<font class="keywordtype">float</font> ps, <font class="keywordtype">float</font> pt)<font class="keyword"> const</font>
+00106 <font class="keyword"></font>{
+00107 CVector p;
+00108
+00109 <font class="keywordtype">float</font> ps2 = ps * ps;
+00110 <font class="keywordtype">float</font> ps1 = 1.0f - ps;
+00111 <font class="keywordtype">float</font> ps12 = ps1 * ps1;
+00112 <font class="keywordtype">float</font> s0 = ps12 * ps1;
+00113 <font class="keywordtype">float</font> s1 = 3.0f * ps * ps12;
+00114 <font class="keywordtype">float</font> s2 = 3.0f * ps2 * ps1;
+00115 <font class="keywordtype">float</font> s3 = ps2 * ps;
+00116 <font class="keywordtype">float</font> pt2 = pt * pt;
+00117 <font class="keywordtype">float</font> pt1 = 1.0f - pt;
+00118 <font class="keywordtype">float</font> pt12 = pt1 * pt1;
+00119 <font class="keywordtype">float</font> t0 = pt12 * pt1;
+00120 <font class="keywordtype">float</font> t1 = 3.0f * pt * pt12;
+00121 <font class="keywordtype">float</font> t2 = 3.0f * pt2 * pt1;
+00122 <font class="keywordtype">float</font> t3 = pt2 * pt;
+00123
+00124 p.set(0,0,0);
+00125 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0] , s0 * t0);
+00126 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[7] , s1 * t0);
+00127 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[6] , s2 * t0);
+00128 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[3] , s3 * t0);
+00129 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[0] , s0 * t1);
+00130 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[0], s1 * t1);
+00131 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[3], s2 * t1);
+00132 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[5] , s3 * t1);
+00133 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[1] , s0 * t2);
+00134 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[1], s1 * t2);
+00135 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[2], s2 * t2);
+00136 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[4] , s3 * t2);
+00137 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1] , s0 * t3);
+00138 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[2] , s1 * t3);
+00139 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[3] , s2 * t3);
+00140 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2] , s3 * t3);
+00141
+00142 <font class="keywordflow">return</font> p;
+00143 }
+00144 <font class="comment">// ***************************************************************************</font>
+<a name="l00145"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#a5">00145</a> CVectorD CBezierPatch::evalDouble(<font class="keywordtype">double</font> ps, <font class="keywordtype">double</font> pt)<font class="keyword"> const</font>
+00146 <font class="keyword"></font>{
+00147 CVectorD p;
+00148
+00149 <font class="keywordtype">double</font> ps2 = ps * ps;
+00150 <font class="keywordtype">double</font> ps1 = 1.0f - ps;
+00151 <font class="keywordtype">double</font> ps12 = ps1 * ps1;
+00152 <font class="keywordtype">double</font> s0 = ps12 * ps1;
+00153 <font class="keywordtype">double</font> s1 = 3.0f * ps * ps12;
+00154 <font class="keywordtype">double</font> s2 = 3.0f * ps2 * ps1;
+00155 <font class="keywordtype">double</font> s3 = ps2 * ps;
+00156 <font class="keywordtype">double</font> pt2 = pt * pt;
+00157 <font class="keywordtype">double</font> pt1 = 1.0f - pt;
+00158 <font class="keywordtype">double</font> pt12 = pt1 * pt1;
+00159 <font class="keywordtype">double</font> t0 = pt12 * pt1;
+00160 <font class="keywordtype">double</font> t1 = 3.0f * pt * pt12;
+00161 <font class="keywordtype">double</font> t2 = 3.0f * pt2 * pt1;
+00162 <font class="keywordtype">double</font> t3 = pt2 * pt;
+00163
+00164 p.set(0,0,0);
+00165 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0] , s0 * t0);
+00166 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[7] , s1 * t0);
+00167 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[6] , s2 * t0);
+00168 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[3] , s3 * t0);
+00169 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[0] , s0 * t1);
+00170 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[0], s1 * t1);
+00171 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[3], s2 * t1);
+00172 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[5] , s3 * t1);
+00173 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[1] , s0 * t2);
+00174 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[1], s1 * t2);
+00175 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[2], s2 * t2);
+00176 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[4] , s3 * t2);
+00177 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1] , s0 * t3);
+00178 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[2] , s1 * t3);
+00179 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[3] , s2 * t3);
+00180 <a class="code" href="namespaceNL3D.html#a318">mulAddD</a>(p, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2] , s3 * t3);
+00181
+00182 <font class="keywordflow">return</font> p;
+00183 }
+00184
+00185
+00186 <font class="comment">// ***************************************************************************</font>
+<a name="l00187"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#a6">00187</a> CVector CBezierPatch::evalNormal(<font class="keywordtype">float</font> ps, <font class="keywordtype">float</font> pt)<font class="keyword"> const</font>
+00188 <font class="keyword"></font>{
+00189 CVector tgtS, tgtT;
+00190
+00191 <font class="keywordtype">float</font> s0,s1,s2,s3;
+00192 <font class="keywordtype">float</font> t0,t1,t2,t3;
+00193 <font class="keywordtype">float</font> ps2 = ps * ps;
+00194 <font class="keywordtype">float</font> ps1 = 1.0f - ps;
+00195 <font class="keywordtype">float</font> ps12 = ps1 * ps1;
+00196 <font class="keywordtype">float</font> pt2 = pt * pt;
+00197 <font class="keywordtype">float</font> pt1 = 1.0f - pt;
+00198 <font class="keywordtype">float</font> pt12 = pt1 * pt1;
+00199
+00200 <font class="comment">// Compute tangentS</font>
+00201 <font class="comment">//=================</font>
+00202 <font class="comment">// s/ds.</font>
+00203 s0 = -3* ps12;
+00204 s1 = 9*ps2 + 3 -12*ps;
+00205 s2 =-9*ps2 + 6*ps ;
+00206 s3 = 3* ps2;
+00207 <font class="comment">// t/dt.</font>
+00208 t0 = pt12 * pt1;
+00209 t1 = 3.0f * pt * pt12;
+00210 t2 = 3.0f * pt2 * pt1;
+00211 t3 = pt2 * pt;
+00212
+00213 tgtS.set(0,0,0);
+00214 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0] , s0 * t0);
+00215 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[7] , s1 * t0);
+00216 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[6] , s2 * t0);
+00217 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[3] , s3 * t0);
+00218 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[0] , s0 * t1);
+00219 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[0], s1 * t1);
+00220 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[3], s2 * t1);
+00221 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[5] , s3 * t1);
+00222 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[1] , s0 * t2);
+00223 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[1], s1 * t2);
+00224 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[2], s2 * t2);
+00225 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[4] , s3 * t2);
+00226 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1] , s0 * t3);
+00227 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[2] , s1 * t3);
+00228 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[3] , s2 * t3);
+00229 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2] , s3 * t3);
+00230
+00231 <font class="comment">// Compute tangentT</font>
+00232 <font class="comment">//=================</font>
+00233 <font class="comment">// s/ds.</font>
+00234 s0 = ps12 * ps1;
+00235 s1 = 3.0f * ps * ps12;
+00236 s2 = 3.0f * ps2 * ps1;
+00237 s3 = ps2 * ps;
+00238 <font class="comment">// t/dt.</font>
+00239 t0 = -3* pt12;
+00240 t1 = 9*pt2 + 3 -12*pt;
+00241 t2 =-9*pt2 + 6*pt ;
+00242 t3 = 3* pt2;
+00243
+00244 tgtT.set(0,0,0);
+00245 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0] , s0 * t0);
+00246 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[7] , s1 * t0);
+00247 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[6] , s2 * t0);
+00248 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[3] , s3 * t0);
+00249 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[0] , s0 * t1);
+00250 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[0], s1 * t1);
+00251 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[3], s2 * t1);
+00252 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[5] , s3 * t1);
+00253 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[1] , s0 * t2);
+00254 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[1], s1 * t2);
+00255 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[2], s2 * t2);
+00256 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[4] , s3 * t2);
+00257 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1] , s0 * t3);
+00258 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[2] , s1 * t3);
+00259 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[3] , s2 * t3);
+00260 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2] , s3 * t3);
+00261
+00262
+00263 <font class="comment">// Return the normal.</font>
+00264 CVector norm= tgtT^tgtS;
+00265 norm.normalize();
+00266 <font class="keywordflow">return</font> norm;
+00267 }
+00268
+00269
+00270 <font class="comment">// ***************************************************************************</font>
+<a name="l00271"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#a7">00271</a> CVector CBezierPatch::evalTangentS(<font class="keywordtype">float</font> ps, <font class="keywordtype">float</font> pt)<font class="keyword"> const</font>
+00272 <font class="keyword"></font>{
+00273 CVector tgtS;
+00274
+00275 <font class="keywordtype">float</font> s0,s1,s2,s3;
+00276 <font class="keywordtype">float</font> t0,t1,t2,t3;
+00277 <font class="keywordtype">float</font> ps2 = ps * ps;
+00278 <font class="keywordtype">float</font> ps1 = 1.0f - ps;
+00279 <font class="keywordtype">float</font> ps12 = ps1 * ps1;
+00280 <font class="keywordtype">float</font> pt2 = pt * pt;
+00281 <font class="keywordtype">float</font> pt1 = 1.0f - pt;
+00282 <font class="keywordtype">float</font> pt12 = pt1 * pt1;
+00283
+00284 <font class="comment">// Compute tangentS</font>
+00285 <font class="comment">//=================</font>
+00286 <font class="comment">// s/ds.</font>
+00287 s0 = -3* ps12;
+00288 s1 = 9*ps2 + 3 -12*ps;
+00289 s2 =-9*ps2 + 6*ps ;
+00290 s3 = 3* ps2;
+00291 <font class="comment">// t/dt.</font>
+00292 t0 = pt12 * pt1;
+00293 t1 = 3.0f * pt * pt12;
+00294 t2 = 3.0f * pt2 * pt1;
+00295 t3 = pt2 * pt;
+00296
+00297 tgtS.set(0,0,0);
+00298 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0] , s0 * t0);
+00299 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[7] , s1 * t0);
+00300 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[6] , s2 * t0);
+00301 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[3] , s3 * t0);
+00302 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[0] , s0 * t1);
+00303 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[0], s1 * t1);
+00304 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[3], s2 * t1);
+00305 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[5] , s3 * t1);
+00306 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[1] , s0 * t2);
+00307 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[1], s1 * t2);
+00308 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[2], s2 * t2);
+00309 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[4] , s3 * t2);
+00310 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1] , s0 * t3);
+00311 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[2] , s1 * t3);
+00312 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[3] , s2 * t3);
+00313 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtS, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2] , s3 * t3);
+00314
+00315 <font class="comment">// Return the tgt normalized</font>
+00316 <font class="keywordflow">return</font> tgtS.normed();
+00317 }
+00318
+00319
+00320 <font class="comment">// ***************************************************************************</font>
+<a name="l00321"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#a8">00321</a> CVector CBezierPatch::evalTangentT(<font class="keywordtype">float</font> ps, <font class="keywordtype">float</font> pt)<font class="keyword"> const</font>
+00322 <font class="keyword"></font>{
+00323 CVector tgtT;
+00324
+00325 <font class="keywordtype">float</font> s0,s1,s2,s3;
+00326 <font class="keywordtype">float</font> t0,t1,t2,t3;
+00327 <font class="keywordtype">float</font> ps2 = ps * ps;
+00328 <font class="keywordtype">float</font> ps1 = 1.0f - ps;
+00329 <font class="keywordtype">float</font> ps12 = ps1 * ps1;
+00330 <font class="keywordtype">float</font> pt2 = pt * pt;
+00331 <font class="keywordtype">float</font> pt1 = 1.0f - pt;
+00332 <font class="keywordtype">float</font> pt12 = pt1 * pt1;
+00333
+00334 <font class="comment">// Compute tangentT</font>
+00335 <font class="comment">//=================</font>
+00336 <font class="comment">// s/ds.</font>
+00337 s0 = ps12 * ps1;
+00338 s1 = 3.0f * ps * ps12;
+00339 s2 = 3.0f * ps2 * ps1;
+00340 s3 = ps2 * ps;
+00341 <font class="comment">// t/dt.</font>
+00342 t0 = -3* pt12;
+00343 t1 = 9*pt2 + 3 -12*pt;
+00344 t2 =-9*pt2 + 6*pt ;
+00345 t3 = 3* pt2;
+00346
+00347 tgtT.set(0,0,0);
+00348 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0] , s0 * t0);
+00349 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[7] , s1 * t0);
+00350 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[6] , s2 * t0);
+00351 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[3] , s3 * t0);
+00352 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[0] , s0 * t1);
+00353 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[0], s1 * t1);
+00354 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[3], s2 * t1);
+00355 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[5] , s3 * t1);
+00356 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[1] , s0 * t2);
+00357 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[1], s1 * t2);
+00358 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[2], s2 * t2);
+00359 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[4] , s3 * t2);
+00360 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1] , s0 * t3);
+00361 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[2] , s1 * t3);
+00362 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[3] , s2 * t3);
+00363 <a class="code" href="namespaceNL3D.html#a317">mulAdd</a>(tgtT, <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2] , s3 * t3);
+00364
+00365 <font class="comment">// Return the tgt normalized</font>
+00366 <font class="keywordflow">return</font> tgtT.normed();
+00367 }
+00368
+00369
+00370 <font class="comment">// ***************************************************************************</font>
+<a name="l00371"></a><a class="code" href="structNL3D_1_1CBezierPatch_1_1CBezierCurve.html#a0">00371</a> <font class="keywordtype">void</font> CBezierPatch::CBezierCurve::subdivide(CBezierCurve &amp;left, CBezierCurve &amp;right, <font class="keywordtype">float</font> <a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>)
+00372 {
+00373 <font class="keywordtype">float</font> t1= 1-<a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>;
+00374
+00375 <font class="comment">// Subdivide the 2 curves.</font>
+00376 left.P0= <a class="code" href="structNL3D_1_1CBezierPatch_1_1CBezierCurve.html#m0">P0</a>;
+00377 right.P3= <a class="code" href="structNL3D_1_1CBezierPatch_1_1CBezierCurve.html#m3">P3</a>;
+00378
+00379 left.P1= t1*<a class="code" href="structNL3D_1_1CBezierPatch_1_1CBezierCurve.html#m0">P0</a> + <a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>*<a class="code" href="structNL3D_1_1CBezierPatch_1_1CBezierCurve.html#m1">P1</a>;
+00380 right.P2= t1*<a class="code" href="structNL3D_1_1CBezierPatch_1_1CBezierCurve.html#m2">P2</a> + <a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>*<a class="code" href="structNL3D_1_1CBezierPatch_1_1CBezierCurve.html#m3">P3</a>;
+00381 CVector middle12= t1*<a class="code" href="structNL3D_1_1CBezierPatch_1_1CBezierCurve.html#m1">P1</a> + <a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>*<a class="code" href="structNL3D_1_1CBezierPatch_1_1CBezierCurve.html#m2">P2</a>;
+00382
+00383 left.P2= t1*left.P1 + <a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>*middle12;
+00384 right.P1= t1*middle12 + <a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>*right.P2;
+00385
+00386 left.P3= right.P0= t1*left.P2 + <a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>*right.P1;
+00387 }
+00388
+00389
+00390 <font class="comment">// ***************************************************************************</font>
+<a name="l00391"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#z386_0">00391</a> <font class="keywordtype">void</font> CBezierPatch::subdivideS(<a class="code" href="classNL3D_1_1CBezierPatch.html#a0">CBezierPatch</a> &amp;left, <a class="code" href="classNL3D_1_1CBezierPatch.html#a0">CBezierPatch</a> &amp;right, <font class="keywordtype">float</font> <a class="code" href="driver__opengl__extension__def_8h.html#a383">s</a>)<font class="keyword"> const</font>
+00392 <font class="keyword"></font>{
+00393 CBezierCurve curveT[4];
+00394 CBezierCurve curveTLeft[4];
+00395 CBezierCurve curveTRight[4];
+00396
+00397 <font class="comment">// Setup horizontal curves.</font>
+00398 curveT[0].set(<a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0], <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[7] , <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[6] , <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[3]);
+00399 curveT[1].set(<a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[0], <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[0], <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[3], <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[5]);
+00400 curveT[2].set(<a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[1], <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[1], <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[2], <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[4]);
+00401 curveT[3].set(<a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1], <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[2] , <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[3] , <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2]);
+00402
+00403 <font class="comment">// Subdivide curves.</font>
+00404 <font class="keywordflow">for</font>(sint i=0;i&lt;4;i++)
+00405 curveT[i].subdivide(curveTLeft[i], curveTRight[i], <a class="code" href="driver__opengl__extension__def_8h.html#a383">s</a>);
+00406
+00407 <font class="comment">// Setup bezier patchs.</font>
+00408 <font class="comment">// left.</font>
+00409 curveTLeft[0].get(left.Vertices[0], left.Tangents[7] , left.Tangents[6] , left.Vertices[3]);
+00410 curveTLeft[1].get(left.Tangents[0], left.Interiors[0], left.Interiors[3], left.Tangents[5]);
+00411 curveTLeft[2].get(left.Tangents[1], left.Interiors[1], left.Interiors[2], left.Tangents[4]);
+00412 curveTLeft[3].get(left.Vertices[1], left.Tangents[2] , left.Tangents[3] , left.Vertices[2]);
+00413 <font class="comment">// right.</font>
+00414 curveTRight[0].get(right.Vertices[0], right.Tangents[7] , right.Tangents[6] , right.Vertices[3]);
+00415 curveTRight[1].get(right.Tangents[0], right.Interiors[0], right.Interiors[3], right.Tangents[5]);
+00416 curveTRight[2].get(right.Tangents[1], right.Interiors[1], right.Interiors[2], right.Tangents[4]);
+00417 curveTRight[3].get(right.Vertices[1], right.Tangents[2] , right.Tangents[3] , right.Vertices[2]);
+00418 }
+00419
+00420
+00421 <font class="comment">// ***************************************************************************</font>
+<a name="l00422"></a><a class="code" href="classNL3D_1_1CBezierPatch.html#z386_1">00422</a> <font class="keywordtype">void</font> CBezierPatch::subdivideT(CBezierPatch &amp;top, CBezierPatch &amp;bottom, <font class="keywordtype">float</font> <a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>)<font class="keyword"> const</font>
+00423 <font class="keyword"></font>{
+00424 CBezierCurve curveS[4];
+00425 CBezierCurve curveSTop[4];
+00426 CBezierCurve curveSBottom[4];
+00427
+00428 <font class="comment">// Setup vertical curves.</font>
+00429 curveS[0].set(<a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0], <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[0] , <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[1] , <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1]);
+00430 curveS[1].set(<a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[7], <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[0], <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[1], <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[2]);
+00431 curveS[2].set(<a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[6], <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[3], <a class="code" href="classNL3D_1_1CBezierPatch.html#m2">Interiors</a>[2], <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[3]);
+00432 curveS[3].set(<a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[3], <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[5] , <a class="code" href="classNL3D_1_1CBezierPatch.html#m1">Tangents</a>[4] , <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2]);
+00433
+00434 <font class="comment">// Subdivide curves.</font>
+00435 <font class="keywordflow">for</font>(sint i=0;i&lt;4;i++)
+00436 curveS[i].subdivide(curveSTop[i], curveSBottom[i], <a class="code" href="driver__opengl__extension__def_8h.html#a384">t</a>);
+00437
+00438 <font class="comment">// Setup bezier patchs.</font>
+00439 <font class="comment">// top.</font>
+00440 curveSTop[0].get(top.Vertices[0], top.Tangents[0] , top.Tangents[1] , top.Vertices[1]);
+00441 curveSTop[1].get(top.Tangents[7], top.Interiors[0], top.Interiors[1], top.Tangents[2]);
+00442 curveSTop[2].get(top.Tangents[6], top.Interiors[3], top.Interiors[2], top.Tangents[3]);
+00443 curveSTop[3].get(top.Vertices[3], top.Tangents[5] , top.Tangents[4] , top.Vertices[2]);
+00444 <font class="comment">// bottom.</font>
+00445 curveSBottom[0].get(bottom.Vertices[0], bottom.Tangents[0] , bottom.Tangents[1] , bottom.Vertices[1]);
+00446 curveSBottom[1].get(bottom.Tangents[7], bottom.Interiors[0], bottom.Interiors[1], bottom.Tangents[2]);
+00447 curveSBottom[2].get(bottom.Tangents[6], bottom.Interiors[3], bottom.Interiors[2], bottom.Tangents[3]);
+00448 curveSBottom[3].get(bottom.Vertices[3], bottom.Tangents[5] , bottom.Tangents[4] , bottom.Vertices[2]);
+00449 }
+00450
+00451
+00452
+00453 } <font class="comment">// NL3D</font>
+</pre></div>
+
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