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| author | neodarz <neodarz@neodarz.net> | 2018-08-11 20:21:34 +0200 |
|---|---|---|
| committer | neodarz <neodarz@neodarz.net> | 2018-08-11 20:21:34 +0200 |
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doxygen="_cgi:http://www.nevrax.org/cgi-bin/nel-search.cgi" href="http://www.nevrax.org/cgi-bin/nel-search.cgi">Search</a> </center> +<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> + +<!-- footer --> +<BR><FONT Size=+5> </FONT> +</TD> +<TD WIDTH=15><IMG SRC=http://www.nevrax.org/inc/img/pixel.gif WIDTH=15 HEIGHT=15 BORDER=0 ALT=""></TD> +</TR> +</TABLE> +</BODY> +</HTML> |