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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<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<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 &a = <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[0];
00064 CVector &b = <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[1];
00065 CVector &c = <a class="code" href="classNL3D_1_1CBezierPatch.html#m0">Vertices</a>[2];
00066 CVector &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 &m)
00074 {
00075 sint i;
00076
00077 <font class="keywordflow">for</font>(i=0;i<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<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<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 &tgt, <font class="keyword">const</font> CVector &<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 &tgt, <font class="keyword">const</font> CVector &<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 &left, CBezierCurve &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> &left, <a class="code" href="classNL3D_1_1CBezierPatch.html#a0">CBezierPatch</a> &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<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 &top, CBezierPatch &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<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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