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<hr><h1>frustum.cpp</h1><a href="frustum_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="frustum_8h.html">nel/3d/frustum.h</a>"</font>
00029 <font class="preprocessor">#include "<a class="code" href="matrix_8h.html">nel/misc/matrix.h</a>"</font>
00030 <font class="preprocessor">#include &lt;math.h&gt;</font>
00031 
00032 
00033 <font class="keyword">using</font> <font class="keyword">namespace </font>NLMISC;
00034 
00035 <font class="keyword">namespace </font>NL3D
00036 {
00037 
00038 
<a name="l00039"></a><a class="code" href="classNL3D_1_1CFrustum.html#a2">00039</a> <font class="keywordtype">void</font>                    CFrustum::init(<font class="keywordtype">float</font> left, <font class="keywordtype">float</font> right, <font class="keywordtype">float</font> bottom, <font class="keywordtype">float</font> top, <font class="keywordtype">float</font> znear, <font class="keywordtype">float</font> zfar, <font class="keywordtype">bool</font> perspective)
00040 {
00041         <a class="code" href="classNL3D_1_1CFrustum.html#m0">Left</a>= left;
00042         <a class="code" href="classNL3D_1_1CFrustum.html#m1">Right</a>= right;
00043         <a class="code" href="classNL3D_1_1CFrustum.html#m2">Bottom</a>= bottom;
00044         <a class="code" href="classNL3D_1_1CFrustum.html#m3">Top</a>= top;
00045         <a class="code" href="classNL3D_1_1CFrustum.html#m4">Near</a>= znear;
00046         <a class="code" href="classNL3D_1_1CFrustum.html#m5">Far</a>= zfar;
00047         <a class="code" href="classNL3D_1_1CFrustum.html#m6">Perspective</a>= perspective;
00048 }
00049 
<a name="l00050"></a><a class="code" href="classNL3D_1_1CFrustum.html#a3">00050</a> <font class="keywordtype">void</font>                    CFrustum::init(<font class="keywordtype">float</font> <a class="code" href="driver__opengl__extension__def_8h.html#a266">width</a>, <font class="keywordtype">float</font> <a class="code" href="driver__opengl__extension__def_8h.html#a267">height</a>, <font class="keywordtype">float</font> znear, <font class="keywordtype">float</font> zfar, <font class="keywordtype">bool</font> perspective)
00051 {
00052         <a class="code" href="classNL3D_1_1CFrustum.html#a2">init</a>(-<a class="code" href="driver__opengl__extension__def_8h.html#a266">width</a>/2, <a class="code" href="driver__opengl__extension__def_8h.html#a266">width</a>/2, -<a class="code" href="driver__opengl__extension__def_8h.html#a267">height</a>/2, <a class="code" href="driver__opengl__extension__def_8h.html#a267">height</a>/2, znear, zfar, perspective);
00053 }
<a name="l00054"></a><a class="code" href="classNL3D_1_1CFrustum.html#a4">00054</a> <font class="keywordtype">void</font>                    CFrustum::initPerspective(<font class="keywordtype">float</font> fov, <font class="keywordtype">float</font> aspectRatio, <font class="keywordtype">float</font> znear, <font class="keywordtype">float</font> zfar)
00055 {
00056         <font class="keywordtype">float</font>   <a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>,h;
00057         <a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>= 2*znear*(float)tan(fov/2);
00058         h= <a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>/aspectRatio;
00059         <a class="code" href="classNL3D_1_1CFrustum.html#a2">init</a>(<a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>,h,znear,zfar,<font class="keyword">true</font>);
00060 }
<a name="l00061"></a><a class="code" href="classNL3D_1_1CFrustum.html#a5">00061</a> <font class="keywordtype">void</font>                    CFrustum::getValues(<font class="keywordtype">float</font> &amp;left, <font class="keywordtype">float</font> &amp;right, <font class="keywordtype">float</font> &amp;bottom, <font class="keywordtype">float</font> &amp;top, <font class="keywordtype">float</font> &amp;znear, <font class="keywordtype">float</font> &amp;zfar)<font class="keyword"> const</font>
00062 <font class="keyword"></font>{
00063         left= <a class="code" href="classNL3D_1_1CFrustum.html#m0">Left</a>;
00064         right= <a class="code" href="classNL3D_1_1CFrustum.html#m1">Right</a>;
00065         bottom= <a class="code" href="classNL3D_1_1CFrustum.html#m2">Bottom</a>;
00066         top= <a class="code" href="classNL3D_1_1CFrustum.html#m3">Top</a>;
00067         znear= <a class="code" href="classNL3D_1_1CFrustum.html#m4">Near</a>;
00068         zfar= <a class="code" href="classNL3D_1_1CFrustum.html#m5">Far</a>;
00069 }
00070 
00071 
00072 <font class="comment">// ***************************************************************************</font>
<a name="l00073"></a><a class="code" href="classNL3D_1_1CFrustum.html#a6">00073</a> CVector                 CFrustum::project(<font class="keyword">const</font> CVector &amp;vec)<font class="keyword"> const</font>
00074 <font class="keyword"></font>{
00075         CVector         ret;
00076         <font class="keywordtype">float</font>           decalX, decalY;
00077         <font class="keywordtype">float</font>           <a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>, h;
00078         <font class="keywordtype">float</font>           OOw, OOh;
00079 
00080         <font class="comment">// Fast transform to openGL like axis.</font>
00081         CVector         pt;
00082         pt.x= vec.x;
00083         pt.y= vec.z;
00084         pt.z= -vec.y;
00085 
00086         decalX= (<a class="code" href="classNL3D_1_1CFrustum.html#m1">Right</a>+<a class="code" href="classNL3D_1_1CFrustum.html#m0">Left</a>);
00087         decalY= (<a class="code" href="classNL3D_1_1CFrustum.html#m3">Top</a>+<a class="code" href="classNL3D_1_1CFrustum.html#m2">Bottom</a>);
00088         <a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>= <a class="code" href="classNL3D_1_1CFrustum.html#m1">Right</a>-<a class="code" href="classNL3D_1_1CFrustum.html#m0">Left</a>;
00089         h= <a class="code" href="classNL3D_1_1CFrustum.html#m3">Top</a>-<a class="code" href="classNL3D_1_1CFrustum.html#m2">Bottom</a>;
00090         OOw= 1.0f/<a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>;
00091         OOh= 1.0f/h;
00092 
00093         <font class="comment">// project to -1..+1.</font>
00094         <font class="keywordflow">if</font>(Perspective)
00095         {
00096                 ret.x= (2*<a class="code" href="classNL3D_1_1CFrustum.html#m4">Near</a>*pt.x + decalX*pt.z)*OOw;
00097                 ret.x/= -pt.z;
00098                 ret.y= (2*<a class="code" href="classNL3D_1_1CFrustum.html#m4">Near</a>*pt.y + decalY*pt.z)*OOh;
00099                 ret.y/= -pt.z;
00100         }
00101         <font class="keywordflow">else</font>
00102         {
00103                 ret.x= (2*pt.x-decalX)*OOw;
00104                 ret.y= (2*pt.y-decalY)*OOh;
00105         }
00106 
00107 
00108         <font class="comment">// Map it to 0..1.</font>
00109         ret.x= 0.5f*(ret.x+1);
00110         ret.y= 0.5f*(ret.y+1);
00111         ret.z= 0;
00112 
00113         <font class="keywordflow">return</font> ret;
00114 }
00115 
00116 
00117 
00118 <font class="comment">// ***************************************************************************</font>
<a name="l00119"></a><a class="code" href="classNL3D_1_1CFrustum.html#a7">00119</a> CVector                 CFrustum::unProject(<font class="keyword">const</font> CVector &amp;vec)<font class="keyword"> const</font>
00120 <font class="keyword"></font>{
00121         CVector         ret;
00122         <font class="keywordtype">float</font>           decalX, decalY;
00123         <font class="keywordtype">float</font>           <a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>, h;
00124         <font class="keywordtype">float</font>           OOw, OOh;
00125 
00126         decalX= (<a class="code" href="classNL3D_1_1CFrustum.html#m1">Right</a>+<a class="code" href="classNL3D_1_1CFrustum.html#m0">Left</a>);
00127         decalY= (<a class="code" href="classNL3D_1_1CFrustum.html#m3">Top</a>+<a class="code" href="classNL3D_1_1CFrustum.html#m2">Bottom</a>);
00128         <a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>= <a class="code" href="classNL3D_1_1CFrustum.html#m1">Right</a>-<a class="code" href="classNL3D_1_1CFrustum.html#m0">Left</a>;
00129         h= <a class="code" href="classNL3D_1_1CFrustum.html#m3">Top</a>-<a class="code" href="classNL3D_1_1CFrustum.html#m2">Bottom</a>;
00130         OOw= 1.0f/<a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>;
00131         OOh= 1.0f/h;
00132 
00133         <font class="comment">// vec is a vector in a left hand axis.</font>
00134         CVector         pt;
00135         pt.x= vec.x;
00136         pt.y= vec.y;
00137         pt.z= vec.z;
00138         
00139         <font class="comment">// Map it to -1..1</font>
00140         pt.x= 2*(pt.x-0.5f);
00141         pt.y= 2*(pt.y-0.5f);
00142 
00143         <font class="comment">// Map Z to Near..Far.</font>
00144         <font class="comment">// Z IN is 1/Z, and is in 0..1.</font>
00145         <font class="comment">// inverse to 1..0.</font>
00146         pt.z= 1-pt.z;
00147         <font class="comment">// Map ret.z to 1/Far..1/Near.</font>
00148         pt.z= 1/<a class="code" href="classNL3D_1_1CFrustum.html#m5">Far</a>+(1/<a class="code" href="classNL3D_1_1CFrustum.html#m4">Near</a>-1/<a class="code" href="classNL3D_1_1CFrustum.html#m5">Far</a>)*pt.z;
00149         <font class="comment">// Inverse, so ret.z E Near..Far.</font>
00150         pt.z= 1/pt.z;
00151         <font class="comment">// Actually, pt.z==w, homogenous coordinate.</font>
00152 
00153 
00154         <font class="comment">// unproject</font>
00155         <font class="keywordflow">if</font>(Perspective)
00156         {
00157                 <font class="comment">// w of homogenous coordinate.</font>
00158                 <font class="keywordtype">float</font>   Wh;
00159                 <font class="keywordtype">float</font>   Zin;
00160                 Wh= pt.z;
00161                 Zin= -pt.z;
00162 
00163                 <font class="comment">// unproject.  (Projection is: x'= x/w.  y'= y/w).</font>
00164                 pt.x= pt.x*Wh;
00165                 pt.y= pt.y*Wh;
00166                 ret.x= (pt.x*<a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>-decalX*Zin)/(2*<a class="code" href="classNL3D_1_1CFrustum.html#m4">Near</a>);
00167                 ret.y= (pt.y*<a class="code" href="driver__opengl__extension__def_8h.html#a245">w</a>-decalY*Zin)/(2*<a class="code" href="classNL3D_1_1CFrustum.html#m4">Near</a>);
00168                 ret.z= Zin;
00169         }
00170         <font class="keywordflow">else</font>
00171         {
00172                 <font class="comment">// NOT DONE YET.</font>
00173                 <a class="code" href="debug_8h.html#a12">nlstop</a>;
00174                 <font class="comment">/*ret.x= (pt.x*w+decalX)/2;</font>
00175 <font class="comment">                ret.y= (pt.y*h+decalY)/2;</font>
00176 <font class="comment">                */</font>
00177         }
00178 
00179         <font class="comment">// Fast transform from openGL like axis.</font>
00180         pt =ret;
00181         ret.x= pt.x;
00182         ret.y= -pt.z;
00183         ret.z= pt.y;
00184 
00185         <font class="keywordflow">return</font> ret;
00186 }
00187 
00188 
00189 
00190 } <font class="comment">// NL3D</font>
</pre></div>

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