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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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