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  77. <div class="title">src/Math/Matrix4.h</div>  </div>
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  79. <div class="contents">
    80. 

  80. <a href="_matrix4_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">//##************************</span>
    81. 

  81. <a name="l00002"></a>00002 <span class="comment">//##* This source code is licensed under the terms and conditions of the BSD license,</span>
    82. 

  82. <a name="l00003"></a>00003 <span class="comment">//##* the full text of which can be found in the file named &#39;License.txt&#39; that</span>
    83. 

  83. <a name="l00004"></a>00004 <span class="comment">//##* accompanies this code. (C) copyright Geoffrey French 1999-2010.</span>
    84. 

  84. <a name="l00005"></a>00005 <span class="comment">//##************************</span>
    85. 

  85. <a name="l00006"></a>00006 <span class="comment">/*      by:                                     Geoffrey French</span>
    86. 

  86. <a name="l00007"></a>00007 <span class="comment">        last revision:          14/Nov/2002</span>
    87. 

  87. <a name="l00008"></a>00008 <span class="comment">        title:                          4x4 transformation matrix class with mathematical operations.</span>
    88. 

  88. <a name="l00009"></a>00009 <span class="comment"></span>
    89. 

  89. <a name="l00010"></a>00010 <span class="comment">  Implemented as follows:</span>
    90. 

  90. <a name="l00011"></a>00011 <span class="comment"></span>
    91. 

  91. <a name="l00012"></a>00012 <span class="comment">  use the macros iMA, iMB,.... iMP to access the members by letter</span>
    92. 

  92. <a name="l00013"></a>00013 <span class="comment">  use the macros iMyx where x and y are numbers in the range 0..3 to access the</span>
    93. 

  93. <a name="l00014"></a>00014 <span class="comment">   members where x and y are the coordinates of the matrix member</span>
    94. 

  94. <a name="l00015"></a>00015 <span class="comment">*/</span>
    95. 

  95. <a name="l00016"></a>00016 <span class="preprocessor">#ifndef MATRIX4_H__</span>
    96. 

  96. <a name="l00017"></a>00017 <span class="preprocessor"></span><span class="preprocessor">#define MATRIX4_H__</span>
    97. 

  97. <a name="l00018"></a>00018 <span class="preprocessor"></span>
    98. 

  98. <a name="l00019"></a>00019 <span class="preprocessor">#include &lt;stdio.h&gt;</span>
    99. 

  99. <a name="l00020"></a>00020 
    100. 

  100. <a name="l00021"></a>00021 <span class="preprocessor">#include &lt;<a class="code" href="radians_8h.html">Math/radians.h</a>&gt;</span>
    101. 

  101. <a name="l00022"></a>00022 
    102. 

  102. <a name="l00023"></a>00023 <span class="preprocessor">#include &lt;<a class="code" href="_vector2_8h.html">Math/Vector2.h</a>&gt;</span>
    103. 

  103. <a name="l00024"></a>00024 <span class="preprocessor">#include &lt;<a class="code" href="_vector3_8h.html">Math/Vector3.h</a>&gt;</span>
    104. 

  104. <a name="l00025"></a>00025 <span class="preprocessor">#include &lt;<a class="code" href="_point2_8h.html">Math/Point2.h</a>&gt;</span>
    105. 

  105. <a name="l00026"></a>00026 <span class="preprocessor">#include &lt;<a class="code" href="_point3_8h.html">Math/Point3.h</a>&gt;</span>
    106. 

  106. <a name="l00027"></a>00027 <span class="preprocessor">#include &lt;<a class="code" href="_point4_8h.html">Math/Point4.h</a>&gt;</span>
    107. 

  107. <a name="l00028"></a>00028 <span class="preprocessor">#include &lt;<a class="code" href="_plane_8h.html">Math/Plane.h</a>&gt;</span>
    108. 

  108. <a name="l00029"></a>00029 <span class="preprocessor">#include &lt;<a class="code" href="_euler_rotation_8h.html">Math/EulerRotation.h</a>&gt;</span>
    109. 

  109. <a name="l00030"></a>00030 <span class="preprocessor">#include &lt;<a class="code" href="_quaternion_8h.html">Math/Quaternion.h</a>&gt;</span>
    110. 

  110. <a name="l00031"></a>00031 <span class="preprocessor">#include &lt;<a class="code" href="_segment3_8h.html">Math/Segment3.h</a>&gt;</span>
    111. 

  111. <a name="l00032"></a>00032 <span class="preprocessor">#include &lt;<a class="code" href="_segment2_8h.html">Math/Segment2.h</a>&gt;</span>
    112. 

  112. <a name="l00033"></a>00033 <span class="preprocessor">#include &lt;<a class="code" href="_triangle2_8h.html">Math/Triangle2.h</a>&gt;</span>
    113. 

  113. <a name="l00034"></a>00034 <span class="preprocessor">#include &lt;<a class="code" href="_triangle3_8h.html">Math/Triangle3.h</a>&gt;</span>
    114. 

  114. <a name="l00035"></a>00035 <span class="preprocessor">#include &lt;<a class="code" href="epsilon_8h.html">Math/epsilon.h</a>&gt;</span>
    115. 

  115. <a name="l00036"></a>00036 
    116. 

  116. <a name="l00037"></a>00037 
    117. 

  117. <a name="l00038"></a>00038 
    118. 

  118. <a name="l00039"></a>00039 <span class="comment">//declaration of Vector3 operator*(const Vector3 &amp;v, const Matrix4 &amp;m)</span>
    119. 

  119. <a name="l00040"></a>00040 <span class="comment">//needed in Matrix4::transformUnit()</span>
    120. 

  120. <a name="l00041"></a>00041 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">class </span><a class="code" href="class_matrix4.html">Matrix4</a>;
    121. 

  121. <a name="l00042"></a>00042 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">inline</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> <a class="code" href="_matrix4_8h.html#a1297d29e0a3df70f644f376c83e9ebcd">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;v, <span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m);
    122. 

  122. <a name="l00043"></a>00043 
    123. 

  123. <a name="l00044"></a>00044 
    124. 

  124. <a name="l00086"></a><a class="code" href="class_matrix4.html">00086</a> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">class </span><a class="code" href="class_matrix4.html">Matrix4</a>
    125. 

  125. <a name="l00087"></a>00087 {
    126. 

  126. <a name="l00088"></a>00088 <span class="keyword">public</span>:
    127. 

  127. <a name="l00089"></a>00089         <span class="keyword">union</span>
    128. 

  128. <a name="l00090"></a>00090         {
    129. 

  129. <a name="l00091"></a><a class="code" href="class_matrix4.html#a4b456ca8031e6ea32d44f7a49ec57f3e">00091</a>                 Real <a class="code" href="class_matrix4.html#a4b456ca8031e6ea32d44f7a49ec57f3e">d</a>[16];                                     <span class="comment">//16 (4x4) floats</span>
    130. 

  130. <a name="l00092"></a>00092 
    131. 

  131. <a name="l00093"></a>00093                 <span class="keyword">struct</span>
    132. 

  132. <a name="l00094"></a>00094                 {
    133. 

  133. <a name="l00095"></a><a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">00095</a>                         Real <a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>, <a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>, <a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>, <a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>;
    134. 

  134. <a name="l00096"></a><a class="code" href="class_matrix4.html#a70e188ea648953cb3cc516c9510880e2">00096</a>                         Real <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>, <a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>, <a class="code" href="class_matrix4.html#a69ceb4b6a45f1b70247eeb7e0b3f5ee0">iMJ</a>, <a class="code" href="class_matrix4.html#a70e188ea648953cb3cc516c9510880e2">iMN</a>;
    135. 

  135. <a name="l00097"></a><a class="code" href="class_matrix4.html#aa9dbc58b3ae50a26174481e9d3505e72">00097</a>                         Real <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>, <a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>, <a class="code" href="class_matrix4.html#a80838d6eeb1bb05f8ee6a6d7115f30c4">iMK</a>, <a class="code" href="class_matrix4.html#aa9dbc58b3ae50a26174481e9d3505e72">iMO</a>;
    136. 

  136. <a name="l00098"></a><a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">00098</a>                         Real <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>, <a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>, <a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>, <a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>;
    137. 

  137. <a name="l00099"></a>00099                 };
    138. 

  138. <a name="l00100"></a>00100 
    139. 

  139. <a name="l00101"></a>00101                 <span class="keyword">struct</span>
    140. 

  140. <a name="l00102"></a>00102                 {
    141. 

  141. <a name="l00103"></a><a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">00103</a>                         Real <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>, <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>, <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>, <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>;
    142. 

  142. <a name="l00104"></a><a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">00104</a>                         Real <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>, <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>, <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>, <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>;
    143. 

  143. <a name="l00105"></a><a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">00105</a>                         Real <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>, <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>, <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>, <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>;
    144. 

  144. <a name="l00106"></a><a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">00106</a>                         Real <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>, <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>, <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>, <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a>;
    145. 

  145. <a name="l00107"></a>00107                 };
    146. 

  146. <a name="l00108"></a>00108         };
    147. 

  147. <a name="l00109"></a>00109 
    148. 

  148. <a name="l00110"></a>00110 
    149. 

  149. <a name="l00111"></a>00111 
    150. 

  150. <a name="l00115"></a><a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">00115</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>()
    151. 

  151. <a name="l00116"></a>00116         {
    152. 

  152. <a name="l00117"></a>00117                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = (Real)1.0;       <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = (Real)0.0;
    153. 

  153. <a name="l00118"></a>00118                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = (Real)1.0;       <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = (Real)0.0;
    154. 

  154. <a name="l00119"></a>00119                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = (Real)1.0;       <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = (Real)0.0;
    155. 

  155. <a name="l00120"></a>00120                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = (Real)1.0;
    156. 

  156. <a name="l00121"></a>00121         }
    157. 

  157. <a name="l00122"></a>00122 
    158. 

  158. <a name="l00126"></a><a class="code" href="class_matrix4.html#a8c53ff621ebe756fb5fad129c497ccac">00126</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>(Real m00, Real m01, Real m02, Real m03,
    159. 

  159. <a name="l00127"></a>00127                                 Real m10, Real m11, Real m12, Real m13,
    160. 

  160. <a name="l00128"></a>00128                                 Real m20, Real m21, Real m22, Real m23,
    161. 

  161. <a name="l00129"></a>00129                                 Real m30, Real m31, Real m32, Real m33)
    162. 

  162. <a name="l00130"></a>00130         {
    163. 

  163. <a name="l00131"></a>00131                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = m00;     <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = m01;     <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = m02;     <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = m03;
    164. 

  164. <a name="l00132"></a>00132                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = m10;     <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = m11;     <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = m12;     <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = m13;
    165. 

  165. <a name="l00133"></a>00133                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = m20;     <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = m21;     <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = m22;     <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = m23;
    166. 

  166. <a name="l00134"></a>00134                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = m30;     <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = m31;     <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = m32;     <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = m33;
    167. 

  167. <a name="l00135"></a>00135         }
    168. 

  168. <a name="l00136"></a>00136 
    169. 

  169. <a name="l00153"></a><a class="code" href="class_matrix4.html#aa36b735cd66c467167f11e17a30112b3">00153</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;i, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;j, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;k)
    170. 

  170. <a name="l00154"></a>00154         {
    171. 

  171. <a name="l00155"></a>00155                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = i.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = j.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = k.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = (Real)0.0;
    172. 

  172. <a name="l00156"></a>00156                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = i.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = j.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = k.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = (Real)0.0;
    173. 

  173. <a name="l00157"></a>00157                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = i.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = j.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = k.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = (Real)0.0;
    174. 

  174. <a name="l00158"></a>00158                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = (Real)1.0;
    175. 

  175. <a name="l00159"></a>00159         }
    176. 

  176. <a name="l00160"></a>00160 
    177. 

  177. <a name="l00178"></a><a class="code" href="class_matrix4.html#a38582ff5813210523a8640952fed8586">00178</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;i, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;j, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;k, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;translation)
    178. 

  178. <a name="l00179"></a>00179         {
    179. 

  179. <a name="l00180"></a>00180                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = i.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = j.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = k.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = translation.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;
    180. 

  180. <a name="l00181"></a>00181                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = i.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = j.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = k.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = translation.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;
    181. 

  181. <a name="l00182"></a>00182                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = i.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = j.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = k.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = translation.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>
    182. 

  182. <a name="l00183"></a>00183                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = (Real)1.0;
    183. 

  183. <a name="l00184"></a>00184         }
    184. 

  184. <a name="l00185"></a>00185 
    185. 

  185. <a name="l00203"></a><a class="code" href="class_matrix4.html#a5c71c5bce7ace743a66544816d650174">00203</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>(<span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;o, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;i, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;j, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;k)
    186. 

  186. <a name="l00204"></a>00204         {
    187. 

  187. <a name="l00205"></a>00205                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = i.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = j.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = k.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = o.<a class="code" href="class_point3.html#ac8955e61b82c40e2b7601813decc1ab4">x</a>;
    188. 

  188. <a name="l00206"></a>00206                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = i.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = j.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = k.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = o.<a class="code" href="class_point3.html#a0279229843c1d7e3949003a8234189b6">y</a>;
    189. 

  189. <a name="l00207"></a>00207                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = i.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = j.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = k.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = o.<a class="code" href="class_point3.html#a39a2d6679cdd785c360f552c7ae52d6e">z</a>
    190. 

  190. <a name="l00208"></a>00208                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = (Real)1.0;
    191. 

  191. <a name="l00209"></a>00209         }
    192. 

  192. <a name="l00210"></a>00210 
    193. 

  193. <a name="l00234"></a><a class="code" href="class_matrix4.html#aad258e609e36d60d1c3fe9245816ecf1">00234</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>(<span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;o, <span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;oi, <span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;oj, <span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;ok)
    194. 

  194. <a name="l00235"></a>00235         {
    195. 

  195. <a name="l00236"></a>00236                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> i = oi - o;
    196. 

  196. <a name="l00237"></a>00237                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> j = oj - o;
    197. 

  197. <a name="l00238"></a>00238                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> k = ok - o;
    198. 

  198. <a name="l00239"></a>00239                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = i.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = j.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = k.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                             <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = o.x;
    199. 

  199. <a name="l00240"></a>00240                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = i.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = j.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = k.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                             <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = o.y;
    200. 

  200. <a name="l00241"></a>00241                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = i.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = j.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = k.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                             <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = o.z
    201. 

  201. <a name="l00242"></a>00242                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = (Real)1.0;
    202. 

  202. <a name="l00243"></a>00243         }
    203. 

  203. <a name="l00244"></a>00244 
    204. 

  204. <a name="l00260"></a><a class="code" href="class_matrix4.html#a8d8df9f6453d2513cd619e17fc37916c">00260</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>(<span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;i, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;j)
    205. 

  205. <a name="l00261"></a>00261         {
    206. 

  206. <a name="l00262"></a>00262                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = i.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;                     <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = j.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;                     <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = (Real)0.0;
    207. 

  207. <a name="l00263"></a>00263                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = i.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;                     <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = j.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;                     <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = (Real)0.0;
    208. 

  208. <a name="l00264"></a>00264                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = (Real)1.0;               <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = (Real)0.0;
    209. 

  209. <a name="l00265"></a>00265                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = (Real)1.0;
    210. 

  210. <a name="l00266"></a>00266         }
    211. 

  211. <a name="l00267"></a>00267 
    212. 

  212. <a name="l00284"></a><a class="code" href="class_matrix4.html#a5f0f38e73bed77d8a4876c8bd81db21f">00284</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>(<span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;i, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;j, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;translation)
    213. 

  213. <a name="l00285"></a>00285         {
    214. 

  214. <a name="l00286"></a>00286                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = i.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;                     <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = j.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;                     <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = translation.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;
    215. 

  215. <a name="l00287"></a>00287                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = i.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;                     <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = j.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;                     <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = translation.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;
    216. 

  216. <a name="l00288"></a>00288                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = (Real)1.0;               <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = (Real)0.0;
    217. 

  217. <a name="l00289"></a>00289                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = (Real)1.0;
    218. 

  218. <a name="l00290"></a>00290         }
    219. 

  219. <a name="l00291"></a>00291 
    220. 

  220. <a name="l00308"></a><a class="code" href="class_matrix4.html#a410c330790a99400b35aaae1d2810a76">00308</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>(<span class="keyword">const</span> <a class="code" href="class_point2.html">Point2&lt;Real&gt;</a> &amp;o, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;i, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;j)
    221. 

  221. <a name="l00309"></a>00309         {
    222. 

  222. <a name="l00310"></a>00310                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = i.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;                     <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = j.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;                     <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = o.<a class="code" href="class_point2.html#ab813862c1eb59b34df82412a09d73b8b">x</a>;
    223. 

  223. <a name="l00311"></a>00311                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = i.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;                     <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = j.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;                     <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = o.<a class="code" href="class_point2.html#af6eb4f44dcbf864ef2f92dcaa5203983">y</a>;
    224. 

  224. <a name="l00312"></a>00312                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = (Real)1.0;               <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = (Real)0.0;
    225. 

  225. <a name="l00313"></a>00313                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = (Real)1.0;
    226. 

  226. <a name="l00314"></a>00314         }
    227. 

  227. <a name="l00315"></a>00315 
    228. 

  228. <a name="l00337"></a><a class="code" href="class_matrix4.html#a2b7fdb8a218fee4cc3338e02988e9c8d">00337</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>(<span class="keyword">const</span> <a class="code" href="class_point2.html">Point2&lt;Real&gt;</a> &amp;o, <span class="keyword">const</span> <a class="code" href="class_point2.html">Point2&lt;Real&gt;</a> &amp;oi, <span class="keyword">const</span> <a class="code" href="class_point2.html">Point2&lt;Real&gt;</a> &amp;oj)
    229. 

  229. <a name="l00338"></a>00338         {
    230. 

  230. <a name="l00339"></a>00339                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> i = oi - o;
    231. 

  231. <a name="l00340"></a>00340                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> j = oj - o;
    232. 

  232. <a name="l00341"></a>00341                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = i.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;                     <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = j.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;                     <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = (Real)o.x;
    233. 

  233. <a name="l00342"></a>00342                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = i.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;                     <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = j.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;                     <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = (Real)o.y;
    234. 

  234. <a name="l00343"></a>00343                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = (Real)1.0;               <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = (Real)0.0;
    235. 

  235. <a name="l00344"></a>00344                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = (Real)0.0;       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = (Real)0.0;               <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = (Real)1.0;
    236. 

  236. <a name="l00345"></a>00345         }
    237. 

  237. <a name="l00346"></a>00346 
    238. 

  238. <a name="l00347"></a>00347 
    239. 

  239. <a name="l00348"></a>00348 
    240. 

  240. <a name="l00349"></a>00349 
    241. 

  241. <a name="l00353"></a><a class="code" href="class_matrix4.html#a564d92ec47baa5e4dbd60b2893584725">00353</a>         <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="class_matrix4.html#a564d92ec47baa5e4dbd60b2893584725">read</a>(FILE *f)
    242. 

  242. <a name="l00354"></a>00354         {
    243. 

  243. <a name="l00355"></a>00355                 fread( <a class="code" href="class_matrix4.html#a4b456ca8031e6ea32d44f7a49ec57f3e">d</a>, <span class="keyword">sizeof</span>(Real), 16, f );
    244. 

  244. <a name="l00356"></a>00356         }
    245. 

  245. <a name="l00357"></a>00357 
    246. 

  246. <a name="l00361"></a><a class="code" href="class_matrix4.html#aded31197cac8768e67189af920f4d269">00361</a>         <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="class_matrix4.html#aded31197cac8768e67189af920f4d269">write</a>(FILE *f)<span class="keyword"> const</span>
    247. 

  247. <a name="l00362"></a>00362 <span class="keyword">        </span>{
    248. 

  248. <a name="l00363"></a>00363                 fwrite( <a class="code" href="class_matrix4.html#a4b456ca8031e6ea32d44f7a49ec57f3e">d</a>, <span class="keyword">sizeof</span>(Real), 16, f );
    249. 

  249. <a name="l00364"></a>00364         }
    250. 

  250. <a name="l00365"></a>00365 
    251. 

  251. <a name="l00366"></a>00366 
    252. 

  252. <a name="l00367"></a>00367 
    253. 

  253. <a name="l00368"></a>00368 
    254. 

  254. <a name="l00372"></a><a class="code" href="class_matrix4.html#a68348c00b6e31e627fb4c2045325a876">00372</a>         <span class="keyword">inline</span> Real &amp; <a class="code" href="class_matrix4.html#a68348c00b6e31e627fb4c2045325a876">at</a>(<span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j)
    255. 

  255. <a name="l00373"></a>00373         {
    256. 

  256. <a name="l00374"></a>00374                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a4b456ca8031e6ea32d44f7a49ec57f3e">d</a>[ i*4 + j ];
    257. 

  257. <a name="l00375"></a>00375         }
    258. 

  258. <a name="l00376"></a>00376 
    259. 

  259. <a name="l00380"></a><a class="code" href="class_matrix4.html#a93eb12147ed9c3ccf2991bc6e78852dd">00380</a>         <span class="keyword">inline</span> <span class="keyword">const</span> Real &amp; <a class="code" href="class_matrix4.html#a68348c00b6e31e627fb4c2045325a876">at</a>(<span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j)<span class="keyword"> const</span>
    260. 

  260. <a name="l00381"></a>00381 <span class="keyword">        </span>{
    261. 

  261. <a name="l00382"></a>00382                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a4b456ca8031e6ea32d44f7a49ec57f3e">d</a>[ i*4 + j ];
    262. 

  262. <a name="l00383"></a>00383         }
    263. 

  263. <a name="l00384"></a>00384 
    264. 

  264. <a name="l00385"></a>00385 
    265. 

  265. <a name="l00389"></a><a class="code" href="class_matrix4.html#a886ef26496586ea09a0917e1c7a41085">00389</a>         <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="class_matrix4.html#a886ef26496586ea09a0917e1c7a41085">operator==</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m)
    266. 

  266. <a name="l00390"></a>00390         {
    267. 

  267. <a name="l00391"></a>00391                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> == m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> == m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> == m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> == m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>  &amp;&amp;
    268. 

  268. <a name="l00392"></a>00392                         <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> == m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> == m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> == m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> == m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>  &amp;&amp;  
    269. 

  269. <a name="l00393"></a>00393                         <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> == m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> == m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> == m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> == m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>  &amp;&amp;  
    270. 

  270. <a name="l00394"></a>00394                         <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> == m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> == m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> == m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>  &amp;&amp;  <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> == m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a>;
    271. 

  271. <a name="l00395"></a>00395         }
    272. 

  272. <a name="l00396"></a>00396 
    273. 

  273. <a name="l00400"></a><a class="code" href="class_matrix4.html#a71e178ac0fa398674ddb38289401896b">00400</a>         <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="class_matrix4.html#a71e178ac0fa398674ddb38289401896b">operator!=</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m)
    274. 

  274. <a name="l00401"></a>00401         {
    275. 

  275. <a name="l00402"></a>00402                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> != m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>  ||  <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> != m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>  ||  <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> != m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>  ||  <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> != m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>  ||
    276. 

  276. <a name="l00403"></a>00403                         <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> != m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>  ||  <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> != m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>  ||  <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> != m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>  ||  <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> != m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>  ||  
    277. 

  277. <a name="l00404"></a>00404                         <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> != m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>  ||  <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> != m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>  ||  <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> != m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>  ||  <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> != m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>  ||  
    278. 

  278. <a name="l00405"></a>00405                         <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> != m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>  ||  <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> != m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>  ||  <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> != m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>  ||  <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> != m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a>;
    279. 

  279. <a name="l00406"></a>00406         }
    280. 

  280. <a name="l00407"></a>00407 
    281. 

  281. <a name="l00408"></a>00408 
    282. 

  282. <a name="l00409"></a>00409 
    283. 

  283. <a name="l00413"></a><a class="code" href="class_matrix4.html#a6fb5eb815868bc5e41d129042b43f592">00413</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;<a class="code" href="class_matrix4.html#a6fb5eb815868bc5e41d129042b43f592">operator=</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m)
    284. 

  284. <a name="l00414"></a>00414         {
    285. 

  285. <a name="l00415"></a>00415                 <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> = m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>;  <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> = m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>;  <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> = m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>;  <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> = m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>;
    286. 

  286. <a name="l00416"></a>00416                 <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> = m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>;  <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> = m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>;  <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> = m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>;  <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> = m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>;
    287. 

  287. <a name="l00417"></a>00417                 <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> = m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>;  <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> = m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>;  <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> = m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>;  <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> = m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>;
    288. 

  288. <a name="l00418"></a>00418                 <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> = m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>;  <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> = m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>;  <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> = m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>;  <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> = m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a>;
    289. 

  289. <a name="l00419"></a>00419                 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
    290. 

  290. <a name="l00420"></a>00420         }
    291. 

  291. <a name="l00421"></a>00421 
    292. 

  292. <a name="l00425"></a><a class="code" href="class_matrix4.html#a8aa36bc596a75abb433661585f113eec">00425</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a8aa36bc596a75abb433661585f113eec">operator+</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m)<span class="keyword"> const</span>
    293. 

  293. <a name="l00426"></a>00426 <span class="keyword">        </span>{
    294. 

  294. <a name="l00427"></a>00427                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    295. 

  295. <a name="l00428"></a>00428                         <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> + m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>,  <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> + m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>,  <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> + m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>,  <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> + m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>,
    296. 

  296. <a name="l00429"></a>00429                         <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> + m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>,  <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> + m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>,  <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> + m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>,  <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> + m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>,
    297. 

  297. <a name="l00430"></a>00430                         <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> + m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>,  <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> + m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>,  <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> + m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>,  <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> + m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>,
    298. 

  298. <a name="l00431"></a>00431                         <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> + m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>,  <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> + m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>,  <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> + m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>,  <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> + m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> );
    299. 

  299. <a name="l00432"></a>00432         }
    300. 

  300. <a name="l00433"></a>00433 
    301. 

  301. <a name="l00437"></a><a class="code" href="class_matrix4.html#abdf1ec0e9311d0d0da3ccf4ca0c997c0">00437</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a6e39ebc56769f5e972e53d317228823c">operator-</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m)<span class="keyword"> const</span>
    302. 

  302. <a name="l00438"></a>00438 <span class="keyword">        </span>{
    303. 

  303. <a name="l00439"></a>00439                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    304. 

  304. <a name="l00440"></a>00440                         <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> - m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>,  <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> - m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>,  <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> - m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>,  <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> - m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>,
    305. 

  305. <a name="l00441"></a>00441                         <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> - m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>,  <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> - m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>,  <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> - m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>,  <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> - m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>,
    306. 

  306. <a name="l00442"></a>00442                         <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> - m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>,  <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> - m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>,  <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> - m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>,  <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> - m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>,
    307. 

  307. <a name="l00443"></a>00443                         <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> - m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>,  <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> - m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>,  <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> - m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>,  <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> - m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> );
    308. 

  308. <a name="l00444"></a>00444         }
    309. 

  309. <a name="l00445"></a>00445 
    310. 

  310. <a name="l00449"></a><a class="code" href="class_matrix4.html#a902fa43164396302986a8b9bdb71be73">00449</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a902fa43164396302986a8b9bdb71be73">operator*</a>(Real s)<span class="keyword"> const</span>
    311. 

  311. <a name="l00450"></a>00450 <span class="keyword">        </span>{
    312. 

  312. <a name="l00451"></a>00451                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    313. 

  313. <a name="l00452"></a>00452                         <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> * s,       <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> * s,       <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> * s,       <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> * s,
    314. 

  314. <a name="l00453"></a>00453                         <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> * s,       <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> * s,       <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> * s,       <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> * s,
    315. 

  315. <a name="l00454"></a>00454                         <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> * s,       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> * s,       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> * s,       <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> * s,
    316. 

  316. <a name="l00455"></a>00455                         <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> * s,       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> * s,       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> * s,       <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> * s );
    317. 

  317. <a name="l00456"></a>00456         }
    318. 

  318. <a name="l00457"></a>00457 
    319. 

  319. <a name="l00461"></a><a class="code" href="class_matrix4.html#a59b71c3e9be02951b318e98363c6d7d7">00461</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a902fa43164396302986a8b9bdb71be73">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m)<span class="keyword"> const</span>
    320. 

  320. <a name="l00462"></a>00462 <span class="keyword">        </span>{
    321. 

  321. <a name="l00463"></a>00463                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    322. 

  322. <a name="l00464"></a>00464                         <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> * m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>   +       <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> * m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>   +       <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> * m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>   +       <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> * m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>,
    323. 

  323. <a name="l00465"></a>00465                         <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> * m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>   +       <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> * m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>   +       <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> * m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>   +       <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> * m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>,
    324. 

  324. <a name="l00466"></a>00466                         <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> * m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>   +       <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> * m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>   +       <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> * m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>   +       <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> * m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>,
    325. 

  325. <a name="l00467"></a>00467                         <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> * m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>   +       <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> * m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>   +       <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> * m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>   +       <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> * m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a>,
    326. 

  326. <a name="l00468"></a>00468 
    327. 

  327. <a name="l00469"></a>00469                         <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> * m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>   +       <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> * m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>   +       <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> * m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>   +       <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> * m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>,
    328. 

  328. <a name="l00470"></a>00470                         <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> * m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>   +       <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> * m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>   +       <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> * m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>   +       <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> * m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>,
    329. 

  329. <a name="l00471"></a>00471                         <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> * m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>   +       <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> * m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>   +       <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> * m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>   +       <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> * m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>,
    330. 

  330. <a name="l00472"></a>00472                         <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> * m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>   +       <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> * m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>   +       <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> * m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>   +       <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> * m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a>,
    331. 

  331. <a name="l00473"></a>00473 
    332. 

  332. <a name="l00474"></a>00474                         <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> * m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>   +       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> * m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>   +       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> * m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>   +       <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> * m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>,
    333. 

  333. <a name="l00475"></a>00475                         <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> * m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>   +       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> * m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>   +       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> * m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>   +       <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> * m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>,
    334. 

  334. <a name="l00476"></a>00476                         <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> * m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>   +       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> * m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>   +       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> * m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>   +       <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> * m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>,
    335. 

  335. <a name="l00477"></a>00477                         <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> * m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>   +       <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> * m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>   +       <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> * m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>   +       <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> * m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a>,
    336. 

  336. <a name="l00478"></a>00478 
    337. 

  337. <a name="l00479"></a>00479                         <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> * m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>   +       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> * m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>   +       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> * m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>   +       <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> * m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>,
    338. 

  338. <a name="l00480"></a>00480                         <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> * m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>   +       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> * m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>   +       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> * m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>   +       <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> * m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>,
    339. 

  339. <a name="l00481"></a>00481                         <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> * m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>   +       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> * m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>   +       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> * m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>   +       <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> * m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>,
    340. 

  340. <a name="l00482"></a>00482                         <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> * m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>   +       <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> * m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>   +       <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> * m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>   +       <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> * m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> );
    341. 

  341. <a name="l00483"></a>00483         }
    342. 

  342. <a name="l00484"></a>00484 
    343. 

  343. <a name="l00488"></a><a class="code" href="class_matrix4.html#a6e39ebc56769f5e972e53d317228823c">00488</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a6e39ebc56769f5e972e53d317228823c">operator-</a>()<span class="keyword"> const</span>
    344. 

  344. <a name="l00489"></a>00489 <span class="keyword">        </span>{
    345. 

  345. <a name="l00490"></a>00490                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( -<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>,    -<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>,  -<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>,  -<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>,
    346. 

  346. <a name="l00491"></a>00491                                                          -<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>,         -<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>,  -<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>,  -<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>,
    347. 

  347. <a name="l00492"></a>00492                                                          -<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>,         -<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>,  -<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>,  -<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>,
    348. 

  348. <a name="l00493"></a>00493                                                          -<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>,         -<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>,  -<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>,  -<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> );
    349. 

  349. <a name="l00494"></a>00494         }
    350. 

  350. <a name="l00495"></a>00495 
    351. 

  351. <a name="l00496"></a>00496 
    352. 

  352. <a name="l00500"></a><a class="code" href="class_matrix4.html#a5fa7cd8f67e3632a5508a393deb0356f">00500</a>         <span class="keyword">inline</span> Real <a class="code" href="class_matrix4.html#a5fa7cd8f67e3632a5508a393deb0356f">determinant</a>()<span class="keyword"> const</span>
    353. 

  353. <a name="l00501"></a>00501 <span class="keyword">        </span>{
    354. 

  354. <a name="l00502"></a>00502                 <span class="comment">//determinants of 2x2 submatrices</span>
    355. 

  355. <a name="l00503"></a>00503                 Real kplo = <a class="code" href="class_matrix4.html#a80838d6eeb1bb05f8ee6a6d7115f30c4">iMK</a>*<a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>-<a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>*<a class="code" href="class_matrix4.html#aa9dbc58b3ae50a26174481e9d3505e72">iMO</a>,    jpln = <a class="code" href="class_matrix4.html#a69ceb4b6a45f1b70247eeb7e0b3f5ee0">iMJ</a>*<a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>-<a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>*<a class="code" href="class_matrix4.html#a70e188ea648953cb3cc516c9510880e2">iMN</a>, jokn = <a class="code" href="class_matrix4.html#a69ceb4b6a45f1b70247eeb7e0b3f5ee0">iMJ</a>*iMO-<a class="code" href="class_matrix4.html#a80838d6eeb1bb05f8ee6a6d7115f30c4">iMK</a>*<a class="code" href="class_matrix4.html#a70e188ea648953cb3cc516c9510880e2">iMN</a>;
    356. 

  356. <a name="l00504"></a>00504                 Real iplm = <a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>*<a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>-<a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>*<a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>,    iokm = <a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>*iMO-<a class="code" href="class_matrix4.html#a80838d6eeb1bb05f8ee6a6d7115f30c4">iMK</a>*<a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>, injm = <a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>*iMN-<a class="code" href="class_matrix4.html#a69ceb4b6a45f1b70247eeb7e0b3f5ee0">iMJ</a>*<a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>;
    357. 

  357. <a name="l00505"></a>00505                 <span class="comment">//determinants of 3x3 submatrices</span>
    358. 

  358. <a name="l00506"></a>00506                 Real d00 = <a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a> * (<a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*kplo - <a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*jpln + <a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*jokn);
    359. 

  359. <a name="l00507"></a>00507                 Real d01 = <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a> * (<a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*kplo - <a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*iplm + <a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*iokm);
    360. 

  360. <a name="l00508"></a>00508                 Real d02 = <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a> * (<a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*jpln - <a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*iplm + <a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*injm);
    361. 

  361. <a name="l00509"></a>00509                 Real d03 = <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a> * (<a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*jokn - <a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*iokm + <a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*injm);
    362. 

  362. <a name="l00510"></a>00510                 <span class="comment">//determinant of the 4x4</span>
    363. 

  363. <a name="l00511"></a>00511                 <span class="keywordflow">return</span> (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*d00 - <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*d01 + <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*d02 - <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*d03);
    364. 

  364. <a name="l00512"></a>00512         }
    365. 

  365. <a name="l00513"></a>00513 
    366. 

  366. <a name="l00517"></a><a class="code" href="class_matrix4.html#ab109425d374cc7cbd76a6380d5b20639">00517</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ab109425d374cc7cbd76a6380d5b20639">inverse</a>()<span class="keyword"> const</span>
    367. 

  367. <a name="l00518"></a>00518 <span class="keyword">        </span>{
    368. 

  368. <a name="l00519"></a>00519                 <span class="comment">//determinants of 2x2 submatrices</span>
    369. 

  369. <a name="l00520"></a>00520                 Real kplo = <a class="code" href="class_matrix4.html#a80838d6eeb1bb05f8ee6a6d7115f30c4">iMK</a>*<a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>-<a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>*<a class="code" href="class_matrix4.html#aa9dbc58b3ae50a26174481e9d3505e72">iMO</a>, jpln = <a class="code" href="class_matrix4.html#a69ceb4b6a45f1b70247eeb7e0b3f5ee0">iMJ</a>*<a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>-<a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>*<a class="code" href="class_matrix4.html#a70e188ea648953cb3cc516c9510880e2">iMN</a>,    jokn = <a class="code" href="class_matrix4.html#a69ceb4b6a45f1b70247eeb7e0b3f5ee0">iMJ</a>*iMO-<a class="code" href="class_matrix4.html#a80838d6eeb1bb05f8ee6a6d7115f30c4">iMK</a>*<a class="code" href="class_matrix4.html#a70e188ea648953cb3cc516c9510880e2">iMN</a>;
    370. 

  370. <a name="l00521"></a>00521                 Real iplm = <a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>*<a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>-<a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>*<a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>, iokm = <a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>*iMO-<a class="code" href="class_matrix4.html#a80838d6eeb1bb05f8ee6a6d7115f30c4">iMK</a>*<a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>,    injm = <a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>*iMN-<a class="code" href="class_matrix4.html#a69ceb4b6a45f1b70247eeb7e0b3f5ee0">iMJ</a>*<a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>;
    371. 

  371. <a name="l00522"></a>00522                 Real gpho = <a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*<a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>-<a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*<a class="code" href="class_matrix4.html#aa9dbc58b3ae50a26174481e9d3505e72">iMO</a>, ifhn = <a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*<a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>-<a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*<a class="code" href="class_matrix4.html#a70e188ea648953cb3cc516c9510880e2">iMN</a>,    fogn = <a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*iMO-<a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*<a class="code" href="class_matrix4.html#a70e188ea648953cb3cc516c9510880e2">iMN</a>;
    372. 

  372. <a name="l00523"></a>00523                 Real ephm = <a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*<a class="code" href="class_matrix4.html#ad3f07b2fd344562774e4490950f4253e">iMP</a>-<a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*<a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>, eogm = <a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*iMO-<a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*<a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>,    enfm = <a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*iMN-<a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*<a class="code" href="class_matrix4.html#a7cc28ea065915abaab3f0ab292e59af7">iMM</a>;
    373. 

  373. <a name="l00524"></a>00524                 Real glhk = <a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*<a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>-<a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*<a class="code" href="class_matrix4.html#a80838d6eeb1bb05f8ee6a6d7115f30c4">iMK</a>, flhj = <a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*<a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>-<a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*<a class="code" href="class_matrix4.html#a69ceb4b6a45f1b70247eeb7e0b3f5ee0">iMJ</a>,    fkgj = <a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*iMK-<a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*<a class="code" href="class_matrix4.html#a69ceb4b6a45f1b70247eeb7e0b3f5ee0">iMJ</a>;
    374. 

  374. <a name="l00525"></a>00525                 Real elhi = <a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*<a class="code" href="class_matrix4.html#a0ac12d4f268bbcc73899b2fa04c4638b">iML</a>-<a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*<a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>, ekgi = <a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*iMK-<a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*<a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>,    ejfi = <a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*iMJ-<a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*<a class="code" href="class_matrix4.html#a21bd76eb25edd8cad5612f40e23b028b">iMI</a>;
    375. 

  375. <a name="l00526"></a>00526                 <span class="comment">//determinants of 3x3 submatrices</span>
    376. 

  376. <a name="l00527"></a>00527                 Real d00 = (<a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*kplo - <a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*jpln + <a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*jokn);
    377. 

  377. <a name="l00528"></a>00528                 Real d01 = (<a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*kplo - <a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*iplm + <a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*iokm);
    378. 

  378. <a name="l00529"></a>00529                 Real d02 = (<a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*jpln - <a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*iplm + <a class="code" href="class_matrix4.html#abd61bdac3d0cab04d382bd970b51e658">iMH</a>*injm);
    379. 

  379. <a name="l00530"></a>00530                 Real d03 = (<a class="code" href="class_matrix4.html#ad1c9c9dbbb4aa24d59c2a84580c35add">iME</a>*jokn - <a class="code" href="class_matrix4.html#a38d958297711f965ee99dfb1b30db85e">iMF</a>*iokm + <a class="code" href="class_matrix4.html#a58ee570bc94572cdc7fe5b9d10263ea9">iMG</a>*injm);
    380. 

  380. <a name="l00531"></a>00531 
    381. 

  381. <a name="l00532"></a>00532                 Real d10 = (<a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*kplo - <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*jpln + <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*jokn);
    382. 

  382. <a name="l00533"></a>00533                 Real d11 = (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*kplo - <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*iplm + <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*iokm);
    383. 

  383. <a name="l00534"></a>00534                 Real d12 = (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*jpln - <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*iplm + <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*injm);
    384. 

  384. <a name="l00535"></a>00535                 Real d13 = (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*jokn - <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*iokm + <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*injm);
    385. 

  385. <a name="l00536"></a>00536 
    386. 

  386. <a name="l00537"></a>00537                 Real d20 = (<a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*gpho - <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*ifhn + <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*fogn);
    387. 

  387. <a name="l00538"></a>00538                 Real d21 = (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*gpho - <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*ephm + <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*eogm);
    388. 

  388. <a name="l00539"></a>00539                 Real d22 = (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*ifhn - <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*ephm + <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*enfm);
    389. 

  389. <a name="l00540"></a>00540                 Real d23 = (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*fogn - <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*eogm + <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*enfm);
    390. 

  390. <a name="l00541"></a>00541 
    391. 

  391. <a name="l00542"></a>00542                 Real d30 = (<a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*glhk - <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*flhj + <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*fkgj);
    392. 

  392. <a name="l00543"></a>00543                 Real d31 = (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*glhk - <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*elhi + <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*ekgi);
    393. 

  393. <a name="l00544"></a>00544                 Real d32 = (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*flhj - <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*elhi + <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*ejfi);
    394. 

  394. <a name="l00545"></a>00545                 Real d33 = (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*fkgj - <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*ekgi + <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*ejfi);
    395. 

  395. <a name="l00546"></a>00546                 <span class="comment">//reciprocal of the determinant of the 4x4</span>
    396. 

  396. <a name="l00547"></a>00547                 Real dr = (Real)1.0 / (<a class="code" href="class_matrix4.html#aa554982de848cd1d935350cf60b4d835">iMA</a>*d00 - <a class="code" href="class_matrix4.html#aeb32b3cfa0c165daca3ee35ef104cc22">iMB</a>*d01 + <a class="code" href="class_matrix4.html#a79bff5212ef85df93328acd8ec9ff62a">iMC</a>*d02 - <a class="code" href="class_matrix4.html#a9ef675fbdeaa9afefb54469077ccc846">iMD</a>*d03);
    397. 

  397. <a name="l00548"></a>00548 
    398. 

  398. <a name="l00549"></a>00549                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( d00*dr,   -d10*dr,                 d20*dr,        -d30*dr,
    399. 

  399. <a name="l00550"></a>00550                                                          -d01*dr,        d11*dr,                -d21*dr,         d31*dr,
    400. 

  400. <a name="l00551"></a>00551                                                           d02*dr,       -d12*dr,                 d22*dr,        -d32*dr,
    401. 

  401. <a name="l00552"></a>00552                                                          -d03*dr,        d13*dr,                -d23*dr,         d33*dr);
    402. 

  402. <a name="l00553"></a>00553         }
    403. 

  403. <a name="l00554"></a>00554 
    404. 

  404. <a name="l00565"></a><a class="code" href="class_matrix4.html#a741ed66c6c20079982cfe42fe348efbb">00565</a>         <span class="keyword">inline</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a741ed66c6c20079982cfe42fe348efbb">rigidBodyInverse</a>()<span class="keyword"> const</span>
    405. 

  405. <a name="l00566"></a>00566 <span class="keyword">        </span>{
    406. 

  406. <a name="l00567"></a>00567                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>,                     <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>,           <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>,           -IM03 * iM00  +  -IM13 * iM10  +  -IM23 * <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>,
    407. 

  407. <a name="l00568"></a>00568                                                           <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>,                 <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>,           <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>,           -IM03 * iM01  +  -IM13 * iM11  +  -IM23 * <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>,
    408. 

  408. <a name="l00569"></a>00569                                                           <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>,                 <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>,           <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>,           -IM03 * iM02  +  -IM13 * iM12  +  -IM23 * <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>,
    409. 

  409. <a name="l00570"></a>00570                                                           (Real)0.0,    (Real)0.0,      (Real)0.0,      (Real)1.0 );
    410. 

  410. <a name="l00571"></a>00571         }
    411. 

  411. <a name="l00572"></a>00572 
    412. 

  412. <a name="l00573"></a>00573 
    413. 

  413. <a name="l00577"></a><a class="code" href="class_matrix4.html#a7d5a9b85280d3d06dd7f8375cb209ca0">00577</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a7d5a9b85280d3d06dd7f8375cb209ca0">weightedAverage</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;a, Real wa, <span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;b, Real wb)
    414. 

  414. <a name="l00578"></a>00578         {
    415. 

  415. <a name="l00579"></a>00579                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    416. 

  416. <a name="l00580"></a>00580                         a.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> * wa  +  b.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a> * wb,            a.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> * wa  +  b.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a> * wb,
    417. 

  417. <a name="l00581"></a>00581                         a.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> * wa  +  b.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a> * wb,            a.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> * wa  +  b.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a> * wb,
    418. 

  418. <a name="l00582"></a>00582                         a.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> * wa  +  b.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a> * wb,            a.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> * wa  +  b.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> * wb,
    419. 

  419. <a name="l00583"></a>00583                         a.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> * wa  +  b.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a> * wb,            a.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> * wa  +  b.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> * wb,
    420. 

  420. <a name="l00584"></a>00584                         a.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> * wa  +  b.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> * wb,            a.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> * wa  +  b.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> * wb,
    421. 

  421. <a name="l00585"></a>00585                         a.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> * wa  +  b.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> * wb,            a.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> * wa  +  b.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> * wb,
    422. 

  422. <a name="l00586"></a>00586                         a.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> * wa  +  b.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a> * wb,            a.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> * wa  +  b.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a> * wb,
    423. 

  423. <a name="l00587"></a>00587                         a.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> * wa  +  b.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a> * wb,            a.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> * wa  +  b.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> * wb );
    424. 

  424. <a name="l00588"></a>00588         }
    425. 

  425. <a name="l00589"></a>00589 
    426. 

  426. <a name="l00593"></a><a class="code" href="class_matrix4.html#ab23aaaa3e3e8d493ac811ec59ecc604a">00593</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ab23aaaa3e3e8d493ac811ec59ecc604a">lerp</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;a, <span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;b, Real t)
    427. 

  427. <a name="l00594"></a>00594         {
    428. 

  428. <a name="l00595"></a>00595                 <span class="keywordflow">return</span> a  +  ( b - a ) * t;
    429. 

  429. <a name="l00596"></a>00596         }
    430. 

  430. <a name="l00597"></a>00597 
    431. 

  431. <a name="l00598"></a>00598 
    432. 

  432. <a name="l00599"></a>00599 
    433. 

  433. <a name="l00600"></a>00600 
    434. 

  434. <a name="l00601"></a>00601 
    435. 

  435. <a name="l00602"></a>00602 
    436. 

  436. <a name="l00617"></a><a class="code" href="class_matrix4.html#abd829df5f9e8a5712ffffdf848fe88e6">00617</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#abd829df5f9e8a5712ffffdf848fe88e6">translate</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;t)
    437. 

  437. <a name="l00618"></a>00618         {
    438. 

  438. <a name="l00619"></a>00619                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    439. 

  439. <a name="l00620"></a>00620                         1.0,    0.0,    0.0,    t.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>,
    440. 

  440. <a name="l00621"></a>00621                         0.0,    1.0,    0.0,    t.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>,
    441. 

  441. <a name="l00622"></a>00622                         0.0,    0.0,    1.0,    t.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>,
    442. 

  442. <a name="l00623"></a>00623                         0.0,    0.0,    0.0,    1.0);
    443. 

  443. <a name="l00624"></a>00624         }
    444. 

  444. <a name="l00625"></a>00625 
    445. 

  445. <a name="l00640"></a><a class="code" href="class_matrix4.html#a829a9dee8f1839b5228ad2617667781d">00640</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#abd829df5f9e8a5712ffffdf848fe88e6">translate</a>(<span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;t)
    446. 

  446. <a name="l00641"></a>00641         {
    447. 

  447. <a name="l00642"></a>00642                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    448. 

  448. <a name="l00643"></a>00643                         1.0,    0.0,    0.0,    t.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>,
    449. 

  449. <a name="l00644"></a>00644                         0.0,    1.0,    0.0,    t.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>,
    450. 

  450. <a name="l00645"></a>00645                         0.0,    0.0,    1.0,    0.0,
    451. 

  451. <a name="l00646"></a>00646                         0.0,    0.0,    0.0,    1.0);
    452. 

  452. <a name="l00647"></a>00647         }
    453. 

  453. <a name="l00648"></a>00648 
    454. 

  454. <a name="l00665"></a><a class="code" href="class_matrix4.html#a6fefa1ca6e6379221de4a7ca43dcb415">00665</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#abd829df5f9e8a5712ffffdf848fe88e6">translate</a>(Real tx, Real ty, Real tz = 0.0)
    455. 

  455. <a name="l00666"></a>00666         {
    456. 

  456. <a name="l00667"></a>00667                 <span class="comment">/*</span>
    457. 

  457. <a name="l00668"></a>00668 <span class="comment">                1               0               0               tx</span>
    458. 

  458. <a name="l00669"></a>00669 <span class="comment">                0               1               0               ty</span>
    459. 

  459. <a name="l00670"></a>00670 <span class="comment">                0               0               1               tz</span>
    460. 

  460. <a name="l00671"></a>00671 <span class="comment">                0               0               0               1</span>
    461. 

  461. <a name="l00672"></a>00672 <span class="comment">                */</span>
    462. 

  462. <a name="l00673"></a>00673                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    463. 

  463. <a name="l00674"></a>00674                         1.0,    0.0,    0.0,    tx,
    464. 

  464. <a name="l00675"></a>00675                         0.0,    1.0,    0.0,    ty,
    465. 

  465. <a name="l00676"></a>00676                         0.0,    0.0,    1.0,    tz,
    466. 

  466. <a name="l00677"></a>00677                         0.0,    0.0,    0.0,    1.0);
    467. 

  467. <a name="l00678"></a>00678         }
    468. 

  468. <a name="l00679"></a>00679 
    469. 

  469. <a name="l00680"></a>00680 
    470. 

  470. <a name="l00681"></a>00681 
    471. 

  471. <a name="l00682"></a>00682 
    472. 

  472. <a name="l00683"></a>00683 
    473. 

  473. <a name="l00698"></a><a class="code" href="class_matrix4.html#a00b186ae25cde8aaa9fec0e42d3f46fb">00698</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a00b186ae25cde8aaa9fec0e42d3f46fb">scale</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;s)
    474. 

  474. <a name="l00699"></a>00699         {
    475. 

  475. <a name="l00700"></a>00700                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    476. 

  476. <a name="l00701"></a>00701                         s.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>,    0.0,    0.0,    0.0,
    477. 

  477. <a name="l00702"></a>00702                         0.0,    s.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>,    0.0,    0.0,
    478. 

  478. <a name="l00703"></a>00703                         0.0,    0.0,    s.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>,    0.0,
    479. 

  479. <a name="l00704"></a>00704                         0.0,    0.0,    0.0,    1.0);
    480. 

  480. <a name="l00705"></a>00705         }
    481. 

  481. <a name="l00706"></a>00706 
    482. 

  482. <a name="l00721"></a><a class="code" href="class_matrix4.html#a444627e5e00e23c98c549a3f4b32b182">00721</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a00b186ae25cde8aaa9fec0e42d3f46fb">scale</a>(<span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;s)
    483. 

  483. <a name="l00722"></a>00722         {
    484. 

  484. <a name="l00723"></a>00723                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    485. 

  485. <a name="l00724"></a>00724                         s.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>,    0.0,    0.0,    0.0,
    486. 

  486. <a name="l00725"></a>00725                         0.0,    s.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>,    0.0,    0.0,
    487. 

  487. <a name="l00726"></a>00726                         0.0,    0.0,    1.0,    0.0,
    488. 

  488. <a name="l00727"></a>00727                         0.0,    0.0,    0.0,    1.0);
    489. 

  489. <a name="l00728"></a>00728         }
    490. 

  490. <a name="l00729"></a>00729 
    491. 

  491. <a name="l00746"></a><a class="code" href="class_matrix4.html#ad84413d18a0b31f0f5f5c3da6ca0ca0c">00746</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a00b186ae25cde8aaa9fec0e42d3f46fb">scale</a>(Real sx, Real sy, Real sz = 1.0)
    492. 

  492. <a name="l00747"></a>00747         {
    493. 

  493. <a name="l00748"></a>00748                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    494. 

  494. <a name="l00749"></a>00749                         sx,             0.0,    0.0,    0.0,
    495. 

  495. <a name="l00750"></a>00750                         0.0,    sy,             0.0,    0.0,
    496. 

  496. <a name="l00751"></a>00751                         0.0,    0.0,    sz,             0.0,
    497. 

  497. <a name="l00752"></a>00752                         0.0,    0.0,    0.0,    1.0);
    498. 

  498. <a name="l00753"></a>00753         }
    499. 

  499. <a name="l00754"></a>00754 
    500. 

  500. <a name="l00769"></a><a class="code" href="class_matrix4.html#a9856aa258245e69de8f17f13f8c00ef7">00769</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a00b186ae25cde8aaa9fec0e42d3f46fb">scale</a>(Real s)
    501. 

  501. <a name="l00770"></a>00770         {
    502. 

  502. <a name="l00771"></a>00771                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    503. 

  503. <a name="l00772"></a>00772                         s,              0.0,    0.0,    0.0,
    504. 

  504. <a name="l00773"></a>00773                         0.0,    s,              0.0,    0.0,
    505. 

  505. <a name="l00774"></a>00774                         0.0,    0.0,    s,              0.0,
    506. 

  506. <a name="l00775"></a>00775                         0.0,    0.0,    0.0,    1.0);
    507. 

  507. <a name="l00776"></a>00776         }
    508. 

  508. <a name="l00777"></a>00777 
    509. 

  509. <a name="l00778"></a>00778 
    510. 

  510. <a name="l00779"></a>00779 
    511. 

  511. <a name="l00791"></a><a class="code" href="class_matrix4.html#a314b89974b83fed10af4eb79b3c9a6a0">00791</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a00b186ae25cde8aaa9fec0e42d3f46fb">scale</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;axis, Real s)
    512. 

  512. <a name="l00792"></a>00792         {
    513. 

  513. <a name="l00793"></a>00793                 <span class="comment">//compute the transformed base vectors</span>
    514. 

  514. <a name="l00794"></a>00794                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> i( 1.0, 0.0, 0.0 );
    515. 

  515. <a name="l00795"></a>00795                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> j( 0.0, 1.0, 0.0 );
    516. 

  516. <a name="l00796"></a>00796                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> k( 0.0, 0.0, 1.0 );
    517. 

  517. <a name="l00797"></a>00797 
    518. 

  518. <a name="l00798"></a>00798                 Real sMinus1 = s - 1;
    519. 

  519. <a name="l00799"></a>00799 
    520. 

  520. <a name="l00800"></a>00800                 <span class="comment">//computing each vector:</span>
    521. 

  521. <a name="l00801"></a>00801                 <span class="comment">//</span>
    522. 

  522. <a name="l00802"></a>00802                 <span class="comment">//v = v  +  axis  *  v dot axis * ( s - 1 )</span>
    523. 

  523. <a name="l00803"></a>00803                 <span class="comment">//</span>
    524. 

  524. <a name="l00804"></a>00804                 i += axis  *  ( axis.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a> * sMinus1 );             <span class="comment">//i dot axis  ==  axis.x</span>
    525. 

  525. <a name="l00805"></a>00805                 j += axis  *  ( axis.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a> * sMinus1 );             <span class="comment">//j dot axis  ==  axis.y</span>
    526. 

  526. <a name="l00806"></a>00806                 k += axis  *  ( axis.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a> * sMinus1 );             <span class="comment">//k dot axis  ==  axis.z</span>
    527. 

  527. <a name="l00807"></a>00807 
    528. 

  528. <a name="l00808"></a>00808                 <span class="comment">//build the matrix</span>
    529. 

  529. <a name="l00809"></a>00809                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( i, j, k );
    530. 

  530. <a name="l00810"></a>00810         }
    531. 

  531. <a name="l00811"></a>00811 
    532. 

  532. <a name="l00822"></a><a class="code" href="class_matrix4.html#a8c41092aee546c0da35e4d392312b176">00822</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a00b186ae25cde8aaa9fec0e42d3f46fb">scale</a>(<span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;axis, Real s)
    533. 

  533. <a name="l00823"></a>00823         {
    534. 

  534. <a name="l00824"></a>00824                 <span class="comment">//compute the transformed base vectors</span>
    535. 

  535. <a name="l00825"></a>00825                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> i( 1.0, 0.0 );
    536. 

  536. <a name="l00826"></a>00826                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> j( 0.0, 1.0 );
    537. 

  537. <a name="l00827"></a>00827 
    538. 

  538. <a name="l00828"></a>00828                 Real sMinus1 = s - 1;
    539. 

  539. <a name="l00829"></a>00829 
    540. 

  540. <a name="l00830"></a>00830                 <span class="comment">//computing each vector:</span>
    541. 

  541. <a name="l00831"></a>00831                 <span class="comment">//</span>
    542. 

  542. <a name="l00832"></a>00832                 <span class="comment">//v = v  +  axis  *  v dot axis * ( s - 1 )</span>
    543. 

  543. <a name="l00833"></a>00833                 <span class="comment">//</span>
    544. 

  544. <a name="l00834"></a>00834                 i += axis  *  ( axis.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a> * sMinus1 );             <span class="comment">//i dot axis  ==  axis.x</span>
    545. 

  545. <a name="l00835"></a>00835                 j += axis  *  ( axis.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a> * sMinus1 );             <span class="comment">//j dot axis  ==  axis.y</span>
    546. 

  546. <a name="l00836"></a>00836 
    547. 

  547. <a name="l00837"></a>00837                 <span class="comment">//build the matrix</span>
    548. 

  548. <a name="l00838"></a>00838                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( i, j );
    549. 

  549. <a name="l00839"></a>00839         }
    550. 

  550. <a name="l00840"></a>00840 
    551. 

  551. <a name="l00841"></a>00841 
    552. 

  552. <a name="l00842"></a>00842 
    553. 

  553. <a name="l00843"></a>00843 
    554. 

  554. <a name="l00844"></a>00844 
    555. 

  555. <a name="l00864"></a><a class="code" href="class_matrix4.html#a4bcb8615b31f66bd8aa58efe23243b01">00864</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a4bcb8615b31f66bd8aa58efe23243b01">rotateX</a>(Real a)
    556. 

  556. <a name="l00865"></a>00865         {
    557. 

  557. <a name="l00866"></a>00866                 Real s = sin(a);
    558. 

  558. <a name="l00867"></a>00867                 Real c = cos(a);
    559. 

  559. <a name="l00868"></a>00868                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    560. 

  560. <a name="l00869"></a>00869                         1.0,    0.0,    0.0,    0.0,
    561. 

  561. <a name="l00870"></a>00870                         0.0,    c,              -s,             0.0,
    562. 

  562. <a name="l00871"></a>00871                         0.0,    s,              c,              0.0,
    563. 

  563. <a name="l00872"></a>00872                         0.0,    0.0,    0.0,    1.0);
    564. 

  564. <a name="l00873"></a>00873         }
    565. 

  565. <a name="l00874"></a>00874 
    566. 

  566. <a name="l00890"></a><a class="code" href="class_matrix4.html#a92ce24709e5d01df110954b59add7312">00890</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a4bcb8615b31f66bd8aa58efe23243b01">rotateX</a>(Real s, Real c)
    567. 

  567. <a name="l00891"></a>00891         {
    568. 

  568. <a name="l00892"></a>00892                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    569. 

  569. <a name="l00893"></a>00893                         1.0,    0.0,    0.0,    0.0,
    570. 

  570. <a name="l00894"></a>00894                         0.0,    c,              -s,             0.0,
    571. 

  571. <a name="l00895"></a>00895                         0.0,    s,              c,              0.0,
    572. 

  572. <a name="l00896"></a>00896                         0.0,    0.0,    0.0,    1.0);
    573. 

  573. <a name="l00897"></a>00897         }
    574. 

  574. <a name="l00898"></a>00898 
    575. 

  575. <a name="l00899"></a>00899 
    576. 

  576. <a name="l00912"></a><a class="code" href="class_matrix4.html#a0d8a74599833782a952cfd836df2aff6">00912</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a0d8a74599833782a952cfd836df2aff6">rotateX90</a>()
    577. 

  577. <a name="l00913"></a>00913         {
    578. 

  578. <a name="l00914"></a>00914                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    579. 

  579. <a name="l00915"></a>00915                         1.0,    0.0,    0.0,    0.0,
    580. 

  580. <a name="l00916"></a>00916                         0.0,    0.0,    -1.0,   0.0,
    581. 

  581. <a name="l00917"></a>00917                         0.0,    1.0,    0.0,    0.0,
    582. 

  582. <a name="l00918"></a>00918                         0.0,    0.0,    0.0,    1.0);
    583. 

  583. <a name="l00919"></a>00919         }
    584. 

  584. <a name="l00920"></a>00920 
    585. 

  585. <a name="l00933"></a><a class="code" href="class_matrix4.html#afa379be14624dc85980bd3233d2da0ba">00933</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#afa379be14624dc85980bd3233d2da0ba">rotateX180</a>()
    586. 

  586. <a name="l00934"></a>00934         {
    587. 

  587. <a name="l00935"></a>00935                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    588. 

  588. <a name="l00936"></a>00936                         1.0,    0.0,    0.0,    0.0,
    589. 

  589. <a name="l00937"></a>00937                         0.0,    -1.0,   0.0,    0.0,
    590. 

  590. <a name="l00938"></a>00938                         0.0,    0.0,    -1.0,   0.0,
    591. 

  591. <a name="l00939"></a>00939                         0.0,    0.0,    0.0,    1.0);
    592. 

  592. <a name="l00940"></a>00940         }
    593. 

  593. <a name="l00941"></a>00941 
    594. 

  594. <a name="l00954"></a><a class="code" href="class_matrix4.html#a3131aac37d4079e1332042d714a66c22">00954</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a3131aac37d4079e1332042d714a66c22">rotateX270</a>()
    595. 

  595. <a name="l00955"></a>00955         {
    596. 

  596. <a name="l00956"></a>00956                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    597. 

  597. <a name="l00957"></a>00957                         1.0,    0.0,    0.0,    0.0,
    598. 

  598. <a name="l00958"></a>00958                         0.0,    0.0,    1.0,    0.0,
    599. 

  599. <a name="l00959"></a>00959                         0.0,    -1.0,   0.0,    0.0,
    600. 

  600. <a name="l00960"></a>00960                         0.0,    0.0,    0.0,    1.0);
    601. 

  601. <a name="l00961"></a>00961         }
    602. 

  602. <a name="l00962"></a>00962 
    603. 

  603. <a name="l00963"></a>00963 
    604. 

  604. <a name="l00964"></a>00964 
    605. 

  605. <a name="l00984"></a><a class="code" href="class_matrix4.html#a18ce0c7adbc94afd64f31c0b56b53996">00984</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a18ce0c7adbc94afd64f31c0b56b53996">rotateY</a>(Real a)
    606. 

  606. <a name="l00985"></a>00985         {
    607. 

  607. <a name="l00986"></a>00986                 Real s = sin(a);
    608. 

  608. <a name="l00987"></a>00987                 Real c = cos(a);
    609. 

  609. <a name="l00988"></a>00988                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    610. 

  610. <a name="l00989"></a>00989                         c,              0.0,    s,      0.0,
    611. 

  611. <a name="l00990"></a>00990                         0.0,    1.0,    0.0,    0.0,
    612. 

  612. <a name="l00991"></a>00991                         -s,             0.0,    c,              0.0,
    613. 

  613. <a name="l00992"></a>00992                         0.0,    0.0,    0.0,    1.0);
    614. 

  614. <a name="l00993"></a>00993         }
    615. 

  615. <a name="l00994"></a>00994 
    616. 

  616. <a name="l01010"></a><a class="code" href="class_matrix4.html#a6230f46ae08221503e35e7b768f97c60">01010</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a18ce0c7adbc94afd64f31c0b56b53996">rotateY</a>(Real s, Real c)
    617. 

  617. <a name="l01011"></a>01011         {
    618. 

  618. <a name="l01012"></a>01012                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    619. 

  619. <a name="l01013"></a>01013                         c,              0.0,    s,      0.0,
    620. 

  620. <a name="l01014"></a>01014                         0.0,    1.0,    0.0,    0.0,
    621. 

  621. <a name="l01015"></a>01015                         -s,             0.0,    c,              0.0,
    622. 

  622. <a name="l01016"></a>01016                         0.0,    0.0,    0.0,    1.0);
    623. 

  623. <a name="l01017"></a>01017         }
    624. 

  624. <a name="l01018"></a>01018 
    625. 

  625. <a name="l01031"></a><a class="code" href="class_matrix4.html#adbe44efffa33264a90dde798285b7b44">01031</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#adbe44efffa33264a90dde798285b7b44">rotateY90</a>()
    626. 

  626. <a name="l01032"></a>01032         {
    627. 

  627. <a name="l01033"></a>01033                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    628. 

  628. <a name="l01034"></a>01034                         0.0,    0.0,    1.0,    0.0,
    629. 

  629. <a name="l01035"></a>01035                         0.0,    1.0,    0.0,    0.0,
    630. 

  630. <a name="l01036"></a>01036                         -1.0,   0.0,    0.0,    0.0,
    631. 

  631. <a name="l01037"></a>01037                         0.0,    0.0,    0.0,    1.0);
    632. 

  632. <a name="l01038"></a>01038         }
    633. 

  633. <a name="l01039"></a>01039 
    634. 

  634. <a name="l01052"></a><a class="code" href="class_matrix4.html#aada7039d8facc56ce34d15bebac6c945">01052</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#aada7039d8facc56ce34d15bebac6c945">rotateY180</a>()
    635. 

  635. <a name="l01053"></a>01053         {
    636. 

  636. <a name="l01054"></a>01054                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    637. 

  637. <a name="l01055"></a>01055                         -1.0,   0.0,    0.0,    0.0,
    638. 

  638. <a name="l01056"></a>01056                         0.0,    1.0,    0.0,    0.0,
    639. 

  639. <a name="l01057"></a>01057                         0.0,    0.0,    -1.0,   0.0,
    640. 

  640. <a name="l01058"></a>01058                         0.0,    0.0,    0.0,    1.0);
    641. 

  641. <a name="l01059"></a>01059         }
    642. 

  642. <a name="l01060"></a>01060 
    643. 

  643. <a name="l01073"></a><a class="code" href="class_matrix4.html#a395f3f41e13b4e948bbef67f38b33fa7">01073</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a395f3f41e13b4e948bbef67f38b33fa7">rotateY270</a>()
    644. 

  644. <a name="l01074"></a>01074         {
    645. 

  645. <a name="l01075"></a>01075                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    646. 

  646. <a name="l01076"></a>01076                         0.0,    0.0,    -1.0,   0.0,
    647. 

  647. <a name="l01077"></a>01077                         0.0,    1.0,    0.0,    0.0,
    648. 

  648. <a name="l01078"></a>01078                         1.0,    0.0,    0.0,    0.0,
    649. 

  649. <a name="l01079"></a>01079                         0.0,    0.0,    0.0,    1.0);
    650. 

  650. <a name="l01080"></a>01080         }
    651. 

  651. <a name="l01081"></a>01081 
    652. 

  652. <a name="l01082"></a>01082 
    653. 

  653. <a name="l01083"></a>01083 
    654. 

  654. <a name="l01103"></a><a class="code" href="class_matrix4.html#aee02e7c92d8079bca875aa4c898d6875">01103</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#aee02e7c92d8079bca875aa4c898d6875">rotateZ</a>(Real a)
    655. 

  655. <a name="l01104"></a>01104         {
    656. 

  656. <a name="l01105"></a>01105                 Real s = sin(a);
    657. 

  657. <a name="l01106"></a>01106                 Real c = cos(a);
    658. 

  658. <a name="l01107"></a>01107                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    659. 

  659. <a name="l01108"></a>01108                         c,              -s,             0.0,    0.0,
    660. 

  660. <a name="l01109"></a>01109                         s,              c,              0.0,    0.0,
    661. 

  661. <a name="l01110"></a>01110                         0.0,    0.0,    1.0,    0.0,
    662. 

  662. <a name="l01111"></a>01111                         0.0,    0.0,    0.0,    1.0);
    663. 

  663. <a name="l01112"></a>01112         }
    664. 

  664. <a name="l01113"></a>01113 
    665. 

  665. <a name="l01129"></a><a class="code" href="class_matrix4.html#a77fc6ff222df60f4f61eba75b4993ed3">01129</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#aee02e7c92d8079bca875aa4c898d6875">rotateZ</a>(Real s, Real c)
    666. 

  666. <a name="l01130"></a>01130         {
    667. 

  667. <a name="l01131"></a>01131                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    668. 

  668. <a name="l01132"></a>01132                         c,              -s,             0.0,    0.0,
    669. 

  669. <a name="l01133"></a>01133                         s,              c,              0.0,    0.0,
    670. 

  670. <a name="l01134"></a>01134                         0.0,    0.0,    1.0,    0.0,
    671. 

  671. <a name="l01135"></a>01135                         0.0,    0.0,    0.0,    1.0);
    672. 

  672. <a name="l01136"></a>01136         }
    673. 

  673. <a name="l01137"></a>01137 
    674. 

  674. <a name="l01150"></a><a class="code" href="class_matrix4.html#ab1e0c453e694c186620b242dd0010244">01150</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ab1e0c453e694c186620b242dd0010244">rotateZ90</a>()
    675. 

  675. <a name="l01151"></a>01151         {
    676. 

  676. <a name="l01152"></a>01152                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    677. 

  677. <a name="l01153"></a>01153                         0.0,    -1.0,   0.0,    0.0,
    678. 

  678. <a name="l01154"></a>01154                         1.0,    0.0,    0.0,    0.0,
    679. 

  679. <a name="l01155"></a>01155                         0.0,    0.0,    1.0,    0.0,
    680. 

  680. <a name="l01156"></a>01156                         0.0,    0.0,    0.0,    1.0);
    681. 

  681. <a name="l01157"></a>01157         }
    682. 

  682. <a name="l01158"></a>01158 
    683. 

  683. <a name="l01171"></a><a class="code" href="class_matrix4.html#af54c07f5b993f0334deb5837c58f68d6">01171</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#af54c07f5b993f0334deb5837c58f68d6">rotateZ180</a>()
    684. 

  684. <a name="l01172"></a>01172         {
    685. 

  685. <a name="l01173"></a>01173                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    686. 

  686. <a name="l01174"></a>01174                         -1.0,   0.0,    0.0,    0.0,
    687. 

  687. <a name="l01175"></a>01175                         0.0,    -1.0,   0.0,    0.0,
    688. 

  688. <a name="l01176"></a>01176                         0.0,    0.0,    1.0,    0.0,
    689. 

  689. <a name="l01177"></a>01177                         0.0,    0.0,    0.0,    1.0);
    690. 

  690. <a name="l01178"></a>01178         }
    691. 

  691. <a name="l01179"></a>01179 
    692. 

  692. <a name="l01192"></a><a class="code" href="class_matrix4.html#ac7329d5df871e3df881cc6d999190397">01192</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ac7329d5df871e3df881cc6d999190397">rotateZ270</a>()
    693. 

  693. <a name="l01193"></a>01193         {
    694. 

  694. <a name="l01194"></a>01194                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    695. 

  695. <a name="l01195"></a>01195                         0.0,    1.0,    0.0,    0.0,
    696. 

  696. <a name="l01196"></a>01196                         -1.0,   0.0,    0.0,    0.0,
    697. 

  697. <a name="l01197"></a>01197                         0.0,    0.0,    1.0,    0.0,
    698. 

  698. <a name="l01198"></a>01198                         0.0,    0.0,    0.0,    1.0);
    699. 

  699. <a name="l01199"></a>01199         }
    700. 

  700. <a name="l01200"></a>01200 
    701. 

  701. <a name="l01201"></a>01201 
    702. 

  702. <a name="l01202"></a>01202 
    703. 

  703. <a name="l01206"></a><a class="code" href="class_matrix4.html#ad8b2862b61c1b6b8d5488b68d1f4a2e2">01206</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ad8b2862b61c1b6b8d5488b68d1f4a2e2">rotate</a>(<a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8e">Axis</a> axis, Real a)
    704. 

  704. <a name="l01207"></a>01207         {
    705. 

  705. <a name="l01208"></a>01208                 <span class="keywordflow">switch</span>( axis )
    706. 

  706. <a name="l01209"></a>01209                 {
    707. 

  707. <a name="l01210"></a>01210                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea96f9d79b61cc5f3a85c3905da30d9214">AXIS_X</a>:
    708. 

  708. <a name="l01211"></a>01211                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a4bcb8615b31f66bd8aa58efe23243b01">Matrix4&lt;Real&gt;::rotateX</a>( a );
    709. 

  709. <a name="l01212"></a>01212                         <span class="keywordflow">break</span>;
    710. 

  710. <a name="l01213"></a>01213                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea2b555f82c50a0b2946e0a9d8018e6b0f">AXIS_NEGATIVE_X</a>:
    711. 

  711. <a name="l01214"></a>01214                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a4bcb8615b31f66bd8aa58efe23243b01">Matrix4&lt;Real&gt;::rotateX</a>( -a );
    712. 

  712. <a name="l01215"></a>01215                         <span class="keywordflow">break</span>;
    713. 

  713. <a name="l01216"></a>01216                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eabac2b599f684a034e45fbac20013a56b">AXIS_Y</a>:
    714. 

  714. <a name="l01217"></a>01217                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a18ce0c7adbc94afd64f31c0b56b53996">Matrix4&lt;Real&gt;::rotateY</a>( a );
    715. 

  715. <a name="l01218"></a>01218                         <span class="keywordflow">break</span>;
    716. 

  716. <a name="l01219"></a>01219                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eadf1aa2282fb6ede0d64215787fc3f3fd">AXIS_NEGATIVE_Y</a>:
    717. 

  717. <a name="l01220"></a>01220                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a18ce0c7adbc94afd64f31c0b56b53996">Matrix4&lt;Real&gt;::rotateY</a>( -a );
    718. 

  718. <a name="l01221"></a>01221                         <span class="keywordflow">break</span>;
    719. 

  719. <a name="l01222"></a>01222                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eaf30d19a1a44e01420e4e5b86cde3ecd8">AXIS_Z</a>:
    720. 

  720. <a name="l01223"></a>01223                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#aee02e7c92d8079bca875aa4c898d6875">Matrix4&lt;Real&gt;::rotateZ</a>( a );
    721. 

  721. <a name="l01224"></a>01224                         <span class="keywordflow">break</span>;
    722. 

  722. <a name="l01225"></a>01225                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea03634122e3cf04eb309624665f2f3289">AXIS_NEGATIVE_Z</a>:
    723. 

  723. <a name="l01226"></a>01226                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#aee02e7c92d8079bca875aa4c898d6875">Matrix4&lt;Real&gt;::rotateZ</a>( -a );
    724. 

  724. <a name="l01227"></a>01227                         <span class="keywordflow">break</span>;
    725. 

  725. <a name="l01228"></a>01228                 <span class="keywordflow">default</span>:
    726. 

  726. <a name="l01229"></a>01229                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>();
    727. 

  727. <a name="l01230"></a>01230                         <span class="keywordflow">break</span>;
    728. 

  728. <a name="l01231"></a>01231                 }
    729. 

  729. <a name="l01232"></a>01232         }
    730. 

  730. <a name="l01233"></a>01233 
    731. 

  731. <a name="l01237"></a><a class="code" href="class_matrix4.html#aafa60c545a61154a1e004cece38c1926">01237</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ad8b2862b61c1b6b8d5488b68d1f4a2e2">rotate</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;axis, Real a)
    732. 

  732. <a name="l01238"></a>01238         {
    733. 

  733. <a name="l01239"></a>01239                 Real w, x, y, z;
    734. 

  734. <a name="l01240"></a>01240                 Real xx, yy, zz, xy, xz, yz, wx, wy, wz;
    735. 

  735. <a name="l01241"></a>01241                 Real s;
    736. 

  736. <a name="l01242"></a>01242 
    737. 

  737. <a name="l01243"></a>01243                 a *= (Real)0.5;
    738. 

  738. <a name="l01244"></a>01244                 s = sin( a );
    739. 

  739. <a name="l01245"></a>01245                 w = cos( a );
    740. 

  740. <a name="l01246"></a>01246                 x = axis.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a> * s;
    741. 

  741. <a name="l01247"></a>01247                 y = axis.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a> * s;
    742. 

  742. <a name="l01248"></a>01248                 z = axis.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a> * s;
    743. 

  743. <a name="l01249"></a>01249 
    744. 

  744. <a name="l01250"></a>01250                 xx = x * x * (Real)2.0;         yy = y * y * (Real)2.0;         zz = z * z * (Real)2.0;
    745. 

  745. <a name="l01251"></a>01251                 xy = x * y * (Real)2.0;         xz = x * z * (Real)2.0;         yz = y * z * (Real)2.0;
    746. 

  746. <a name="l01252"></a>01252                 wx = w * x * (Real)2.0;         wy = w * y * (Real)2.0;         wz = w * z * (Real)2.0;
    747. 

  747. <a name="l01253"></a>01253 
    748. 

  748. <a name="l01254"></a>01254                 <span class="comment">/*</span>
    749. 

  749. <a name="l01255"></a>01255 <span class="comment">                the quaternion q:</span>
    750. 

  750. <a name="l01256"></a>01256 <span class="comment">                                                                w=cos(a/2)</span>
    751. 

  751. <a name="l01257"></a>01257 <span class="comment">                                                                x=axis.x*sin(a/2)</span>
    752. 

  752. <a name="l01258"></a>01258 <span class="comment">                                                                y=axis.y*sin(a/2)</span>
    753. 

  753. <a name="l01259"></a>01259 <span class="comment">                                                                z=axis.z*sin(a/2) represents the rotation</span>
    754. 

  754. <a name="l01260"></a>01260 <span class="comment"></span>
    755. 

  755. <a name="l01261"></a>01261 <span class="comment">                matrix:</span>
    756. 

  756. <a name="l01262"></a>01262 <span class="comment">                1 - 2yy - 2zz           2xy - 2wz                       2xz + 2wy                       0</span>
    757. 

  757. <a name="l01263"></a>01263 <span class="comment">                2xy + 2wz                       1 - 2xx - 2zz           2yz - 2wx                       0</span>
    758. 

  758. <a name="l01264"></a>01264 <span class="comment">                2xz - 2wy                       2yz + 2wx                       1 - 2xx - 2yy           0</span>
    759. 

  759. <a name="l01265"></a>01265 <span class="comment">                0                                       0                                       0                                       1</span>
    760. 

  760. <a name="l01266"></a>01266 <span class="comment">                */</span>
    761. 

  761. <a name="l01267"></a>01267                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    762. 

  762. <a name="l01268"></a>01268                         1.0 - (yy + zz),                xy - wz,                                xz + wy,                                0.0,
    763. 

  763. <a name="l01269"></a>01269                         xy + wz,                                1.0 - (xx + zz),                yz - wx,                                0.0,
    764. 

  764. <a name="l01270"></a>01270                         xz - wy,                                yz + wx,                                1.0 - (xx + yy),                0.0,
    765. 

  765. <a name="l01271"></a>01271                         0.0,                                    0.0,                                    0.0,                                    1.0);
    766. 

  766. <a name="l01272"></a>01272         }
    767. 

  767. <a name="l01273"></a>01273 
    768. 

  768. <a name="l01277"></a><a class="code" href="class_matrix4.html#a9d428a99b575b4711a96021e26fd71b3">01277</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ad8b2862b61c1b6b8d5488b68d1f4a2e2">rotate</a>(<span class="keyword">const</span> <a class="code" href="class_euler_rotation.html">EulerRotation&lt;Real&gt;</a> &amp;euler)
    769. 

  769. <a name="l01278"></a>01278         {
    770. 

  770. <a name="l01279"></a>01279                 <a class="code" href="class_quaternion.html">Quaternion&lt;Real&gt;</a> q = <a class="code" href="class_matrix4.html#ad8b2862b61c1b6b8d5488b68d1f4a2e2">Quaternion&lt;Real&gt;::rotate</a>( euler );
    771. 

  771. <a name="l01280"></a>01280                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#ad8b2862b61c1b6b8d5488b68d1f4a2e2">Matrix4&lt;Real&gt;::rotate</a>( q );
    772. 

  772. <a name="l01281"></a>01281         }
    773. 

  773. <a name="l01282"></a>01282 
    774. 

  774. <a name="l01298"></a><a class="code" href="class_matrix4.html#af67be33425636c4d7f4998a8e00ea42b">01298</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ad8b2862b61c1b6b8d5488b68d1f4a2e2">rotate</a>(<span class="keyword">const</span> <a class="code" href="class_quaternion.html">Quaternion&lt;Real&gt;</a> &amp;q)
    775. 

  775. <a name="l01299"></a>01299         {
    776. 

  776. <a name="l01300"></a>01300                 Real xx, yy, zz, xy, xz, yz, wx, wy, wz;
    777. 

  777. <a name="l01301"></a>01301 
    778. 

  778. <a name="l01302"></a>01302                 xx = q.<a class="code" href="class_quaternion.html#a638b23533d402f2d7b4e19becede2aa6">x</a> * q.<a class="code" href="class_quaternion.html#a638b23533d402f2d7b4e19becede2aa6">x</a> * 2.0;   yy = q.<a class="code" href="class_quaternion.html#a81578531a9a00a238073f228887c789c">y</a> * q.<a class="code" href="class_quaternion.html#a81578531a9a00a238073f228887c789c">y</a> * 2.0;   zz = q.<a class="code" href="class_quaternion.html#ae6f6412c2a25811af2c8894cb6f91443">z</a> * q.<a class="code" href="class_quaternion.html#ae6f6412c2a25811af2c8894cb6f91443">z</a> * 2.0;
    779. 

  779. <a name="l01303"></a>01303                 xy = q.<a class="code" href="class_quaternion.html#a638b23533d402f2d7b4e19becede2aa6">x</a> * q.<a class="code" href="class_quaternion.html#a81578531a9a00a238073f228887c789c">y</a> * 2.0;   xz = q.<a class="code" href="class_quaternion.html#a638b23533d402f2d7b4e19becede2aa6">x</a> * q.<a class="code" href="class_quaternion.html#ae6f6412c2a25811af2c8894cb6f91443">z</a> * 2.0;   yz = q.<a class="code" href="class_quaternion.html#a81578531a9a00a238073f228887c789c">y</a> * q.<a class="code" href="class_quaternion.html#ae6f6412c2a25811af2c8894cb6f91443">z</a> * 2.0;
    780. 

  780. <a name="l01304"></a>01304                 wx = q.<a class="code" href="class_quaternion.html#ae08f2bf5149866b96ff0523c7106ccf8">w</a> * q.<a class="code" href="class_quaternion.html#a638b23533d402f2d7b4e19becede2aa6">x</a> * 2.0;   wy = q.<a class="code" href="class_quaternion.html#ae08f2bf5149866b96ff0523c7106ccf8">w</a> * q.<a class="code" href="class_quaternion.html#a81578531a9a00a238073f228887c789c">y</a> * 2.0;   wz = q.<a class="code" href="class_quaternion.html#ae08f2bf5149866b96ff0523c7106ccf8">w</a> * q.<a class="code" href="class_quaternion.html#ae6f6412c2a25811af2c8894cb6f91443">z</a> * 2.0;
    781. 

  781. <a name="l01305"></a>01305 
    782. 

  782. <a name="l01306"></a>01306 
    783. 

  783. <a name="l01307"></a>01307                 <span class="comment">// matrix:</span>
    784. 

  784. <a name="l01308"></a>01308                 <span class="comment">// 1 - 2yy - 2zz                2xy - 2wz                       2xz + 2wy                       0</span>
    785. 

  785. <a name="l01309"></a>01309                 <span class="comment">// 2xy + 2wz                    1 - 2xx - 2zz           2yz - 2wx                       0</span>
    786. 

  786. <a name="l01310"></a>01310                 <span class="comment">// 2xz - 2wy                    2yz + 2wx                       1 - 2xx - 2yy           0</span>
    787. 

  787. <a name="l01311"></a>01311                 <span class="comment">// 0                                    0                                       0                                       1</span>
    788. 

  788. <a name="l01312"></a>01312 
    789. 

  789. <a name="l01313"></a>01313                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    790. 

  790. <a name="l01314"></a>01314                         1.0 - (yy + zz),        xy - wz,                        xz + wy,                        0.0,
    791. 

  791. <a name="l01315"></a>01315                         xy + wz,                        1.0 - (xx + zz),        yz - wx,                        0.0,
    792. 

  792. <a name="l01316"></a>01316                         xz - wy,                        yz + wx,                        1.0 - (xx + yy),        0.0,
    793. 

  793. <a name="l01317"></a>01317                         0.0,                            0.0,                            0.0,                            1.0);
    794. 

  794. <a name="l01318"></a>01318         }
    795. 

  795. <a name="l01319"></a>01319 
    796. 

  796. <a name="l01320"></a>01320 
    797. 

  797. <a name="l01321"></a>01321 
    798. 

  798. <a name="l01325"></a><a class="code" href="class_matrix4.html#ac0aa994f3e0f68bce23a6b1d50b7e002">01325</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ac0aa994f3e0f68bce23a6b1d50b7e002">rotate90</a>(<a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8e">Axis</a> axis)
    799. 

  799. <a name="l01326"></a>01326         {
    800. 

  800. <a name="l01327"></a>01327                 <span class="keywordflow">switch</span>( axis )
    801. 

  801. <a name="l01328"></a>01328                 {
    802. 

  802. <a name="l01329"></a>01329                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea96f9d79b61cc5f3a85c3905da30d9214">AXIS_X</a>:
    803. 

  803. <a name="l01330"></a>01330                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a0d8a74599833782a952cfd836df2aff6">Matrix4&lt;Real&gt;::rotateX90</a>();
    804. 

  804. <a name="l01331"></a>01331                         <span class="keywordflow">break</span>;
    805. 

  805. <a name="l01332"></a>01332                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea2b555f82c50a0b2946e0a9d8018e6b0f">AXIS_NEGATIVE_X</a>:
    806. 

  806. <a name="l01333"></a>01333                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a3131aac37d4079e1332042d714a66c22">Matrix4&lt;Real&gt;::rotateX270</a>();
    807. 

  807. <a name="l01334"></a>01334                         <span class="keywordflow">break</span>;
    808. 

  808. <a name="l01335"></a>01335                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eabac2b599f684a034e45fbac20013a56b">AXIS_Y</a>:
    809. 

  809. <a name="l01336"></a>01336                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#adbe44efffa33264a90dde798285b7b44">Matrix4&lt;Real&gt;::rotateY90</a>();
    810. 

  810. <a name="l01337"></a>01337                         <span class="keywordflow">break</span>;
    811. 

  811. <a name="l01338"></a>01338                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eadf1aa2282fb6ede0d64215787fc3f3fd">AXIS_NEGATIVE_Y</a>:
    812. 

  812. <a name="l01339"></a>01339                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a395f3f41e13b4e948bbef67f38b33fa7">Matrix4&lt;Real&gt;::rotateY270</a>();
    813. 

  813. <a name="l01340"></a>01340                         <span class="keywordflow">break</span>;
    814. 

  814. <a name="l01341"></a>01341                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eaf30d19a1a44e01420e4e5b86cde3ecd8">AXIS_Z</a>:
    815. 

  815. <a name="l01342"></a>01342                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#ab1e0c453e694c186620b242dd0010244">Matrix4&lt;Real&gt;::rotateZ90</a>();
    816. 

  816. <a name="l01343"></a>01343                         <span class="keywordflow">break</span>;
    817. 

  817. <a name="l01344"></a>01344                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea03634122e3cf04eb309624665f2f3289">AXIS_NEGATIVE_Z</a>:
    818. 

  818. <a name="l01345"></a>01345                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#ac7329d5df871e3df881cc6d999190397">Matrix4&lt;Real&gt;::rotateZ270</a>();
    819. 

  819. <a name="l01346"></a>01346                         <span class="keywordflow">break</span>;
    820. 

  820. <a name="l01347"></a>01347                 <span class="keywordflow">default</span>:
    821. 

  821. <a name="l01348"></a>01348                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>();
    822. 

  822. <a name="l01349"></a>01349                         <span class="keywordflow">break</span>;
    823. 

  823. <a name="l01350"></a>01350                 }
    824. 

  824. <a name="l01351"></a>01351         }
    825. 

  825. <a name="l01352"></a>01352 
    826. 

  826. <a name="l01356"></a><a class="code" href="class_matrix4.html#adf7458d3957aeb1c9a31427345429fb0">01356</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#adf7458d3957aeb1c9a31427345429fb0">rotate180</a>(<a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8e">Axis</a> axis)
    827. 

  827. <a name="l01357"></a>01357         {
    828. 

  828. <a name="l01358"></a>01358                 <span class="keywordflow">switch</span>( axis )
    829. 

  829. <a name="l01359"></a>01359                 {
    830. 

  830. <a name="l01360"></a>01360                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea96f9d79b61cc5f3a85c3905da30d9214">AXIS_X</a>:
    831. 

  831. <a name="l01361"></a>01361                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#afa379be14624dc85980bd3233d2da0ba">Matrix4&lt;Real&gt;::rotateX180</a>();
    832. 

  832. <a name="l01362"></a>01362                         <span class="keywordflow">break</span>;
    833. 

  833. <a name="l01363"></a>01363                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea2b555f82c50a0b2946e0a9d8018e6b0f">AXIS_NEGATIVE_X</a>:
    834. 

  834. <a name="l01364"></a>01364                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#afa379be14624dc85980bd3233d2da0ba">Matrix4&lt;Real&gt;::rotateX180</a>();
    835. 

  835. <a name="l01365"></a>01365                         <span class="keywordflow">break</span>;
    836. 

  836. <a name="l01366"></a>01366                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eabac2b599f684a034e45fbac20013a56b">AXIS_Y</a>:
    837. 

  837. <a name="l01367"></a>01367                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#aada7039d8facc56ce34d15bebac6c945">Matrix4&lt;Real&gt;::rotateY180</a>();
    838. 

  838. <a name="l01368"></a>01368                         <span class="keywordflow">break</span>;
    839. 

  839. <a name="l01369"></a>01369                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eadf1aa2282fb6ede0d64215787fc3f3fd">AXIS_NEGATIVE_Y</a>:
    840. 

  840. <a name="l01370"></a>01370                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#aada7039d8facc56ce34d15bebac6c945">Matrix4&lt;Real&gt;::rotateY180</a>();
    841. 

  841. <a name="l01371"></a>01371                         <span class="keywordflow">break</span>;
    842. 

  842. <a name="l01372"></a>01372                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eaf30d19a1a44e01420e4e5b86cde3ecd8">AXIS_Z</a>:
    843. 

  843. <a name="l01373"></a>01373                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#af54c07f5b993f0334deb5837c58f68d6">Matrix4&lt;Real&gt;::rotateZ180</a>();
    844. 

  844. <a name="l01374"></a>01374                         <span class="keywordflow">break</span>;
    845. 

  845. <a name="l01375"></a>01375                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea03634122e3cf04eb309624665f2f3289">AXIS_NEGATIVE_Z</a>:
    846. 

  846. <a name="l01376"></a>01376                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#af54c07f5b993f0334deb5837c58f68d6">Matrix4&lt;Real&gt;::rotateZ180</a>();
    847. 

  847. <a name="l01377"></a>01377                         <span class="keywordflow">break</span>;
    848. 

  848. <a name="l01378"></a>01378                 <span class="keywordflow">default</span>:
    849. 

  849. <a name="l01379"></a>01379                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>();
    850. 

  850. <a name="l01380"></a>01380                         <span class="keywordflow">break</span>;
    851. 

  851. <a name="l01381"></a>01381                 }
    852. 

  852. <a name="l01382"></a>01382         }
    853. 

  853. <a name="l01383"></a>01383 
    854. 

  854. <a name="l01387"></a><a class="code" href="class_matrix4.html#aa189314561448757b23a6330a6d03ad7">01387</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#aa189314561448757b23a6330a6d03ad7">rotate270</a>(<a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8e">Axis</a> axis)
    855. 

  855. <a name="l01388"></a>01388         {
    856. 

  856. <a name="l01389"></a>01389                 <span class="keywordflow">switch</span>( axis )
    857. 

  857. <a name="l01390"></a>01390                 {
    858. 

  858. <a name="l01391"></a>01391                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea96f9d79b61cc5f3a85c3905da30d9214">AXIS_X</a>:
    859. 

  859. <a name="l01392"></a>01392                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a3131aac37d4079e1332042d714a66c22">Matrix4&lt;Real&gt;::rotateX270</a>();
    860. 

  860. <a name="l01393"></a>01393                         <span class="keywordflow">break</span>;
    861. 

  861. <a name="l01394"></a>01394                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea2b555f82c50a0b2946e0a9d8018e6b0f">AXIS_NEGATIVE_X</a>:
    862. 

  862. <a name="l01395"></a>01395                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a0d8a74599833782a952cfd836df2aff6">Matrix4&lt;Real&gt;::rotateX90</a>();
    863. 

  863. <a name="l01396"></a>01396                         <span class="keywordflow">break</span>;
    864. 

  864. <a name="l01397"></a>01397                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eabac2b599f684a034e45fbac20013a56b">AXIS_Y</a>:
    865. 

  865. <a name="l01398"></a>01398                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a395f3f41e13b4e948bbef67f38b33fa7">Matrix4&lt;Real&gt;::rotateY270</a>();
    866. 

  866. <a name="l01399"></a>01399                         <span class="keywordflow">break</span>;
    867. 

  867. <a name="l01400"></a>01400                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eadf1aa2282fb6ede0d64215787fc3f3fd">AXIS_NEGATIVE_Y</a>:
    868. 

  868. <a name="l01401"></a>01401                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#adbe44efffa33264a90dde798285b7b44">Matrix4&lt;Real&gt;::rotateY90</a>();
    869. 

  869. <a name="l01402"></a>01402                         <span class="keywordflow">break</span>;
    870. 

  870. <a name="l01403"></a>01403                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eaf30d19a1a44e01420e4e5b86cde3ecd8">AXIS_Z</a>:
    871. 

  871. <a name="l01404"></a>01404                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#ac7329d5df871e3df881cc6d999190397">Matrix4&lt;Real&gt;::rotateZ270</a>();
    872. 

  872. <a name="l01405"></a>01405                         <span class="keywordflow">break</span>;
    873. 

  873. <a name="l01406"></a>01406                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea03634122e3cf04eb309624665f2f3289">AXIS_NEGATIVE_Z</a>:
    874. 

  874. <a name="l01407"></a>01407                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#ab1e0c453e694c186620b242dd0010244">Matrix4&lt;Real&gt;::rotateZ90</a>();
    875. 

  875. <a name="l01408"></a>01408                         <span class="keywordflow">break</span>;
    876. 

  876. <a name="l01409"></a>01409                 <span class="keywordflow">default</span>:
    877. 

  877. <a name="l01410"></a>01410                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>();
    878. 

  878. <a name="l01411"></a>01411                         <span class="keywordflow">break</span>;
    879. 

  879. <a name="l01412"></a>01412                 }
    880. 

  880. <a name="l01413"></a>01413         }
    881. 

  881. <a name="l01414"></a>01414 
    882. 

  882. <a name="l01415"></a>01415 
    883. 

  883. <a name="l01416"></a>01416 
    884. 

  884. <a name="l01417"></a>01417 
    885. 

  885. <a name="l01418"></a>01418 
    886. 

  886. <a name="l01434"></a><a class="code" href="class_matrix4.html#a8d2c86442bb63a163834ccc58a842fe9">01434</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a8d2c86442bb63a163834ccc58a842fe9">shearX</a>(Real yGrad, Real zGrad)
    887. 

  887. <a name="l01435"></a>01435         {
    888. 

  888. <a name="l01436"></a>01436                 <span class="comment">/*</span>
    889. 

  889. <a name="l01437"></a>01437 <span class="comment">                1                       sy/sx           sz/sx           0</span>
    890. 

  890. <a name="l01438"></a>01438 <span class="comment">                0                       1                       0                       0</span>
    891. 

  891. <a name="l01439"></a>01439 <span class="comment">                0                       0                       1                       0</span>
    892. 

  892. <a name="l01440"></a>01440 <span class="comment">                0                       0                       0                       1</span>
    893. 

  893. <a name="l01441"></a>01441 <span class="comment">                */</span>
    894. 

  894. <a name="l01442"></a>01442                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    895. 

  895. <a name="l01443"></a>01443                                 1.0,                    0.0,                    0.0,                    0.0,
    896. 

  896. <a name="l01444"></a>01444                                 yGrad,                  1.0,                    0.0,                    0.0,
    897. 

  897. <a name="l01445"></a>01445                                 zGrad,                  0.0,                    1.0,                    0.0,
    898. 

  898. <a name="l01446"></a>01446                                 0.0,                    0.0,                    0.0,                    1.0);
    899. 

  899. <a name="l01447"></a>01447         }
    900. 

  900. <a name="l01448"></a>01448 
    901. 

  901. <a name="l01464"></a><a class="code" href="class_matrix4.html#a44e4156f59437584c58f610ef32c0220">01464</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a44e4156f59437584c58f610ef32c0220">shearY</a>(Real xGrad, Real zGrad)
    902. 

  902. <a name="l01465"></a>01465         {
    903. 

  903. <a name="l01466"></a>01466                 <span class="comment">/*</span>
    904. 

  904. <a name="l01467"></a>01467 <span class="comment">                1                       0                       0                       0</span>
    905. 

  905. <a name="l01468"></a>01468 <span class="comment">                sx/sy           1                       sz/sy           0</span>
    906. 

  906. <a name="l01469"></a>01469 <span class="comment">                0                       0                       1                       0</span>
    907. 

  907. <a name="l01470"></a>01470 <span class="comment">                0                       0                       0                       1</span>
    908. 

  908. <a name="l01471"></a>01471 <span class="comment">                */</span>
    909. 

  909. <a name="l01472"></a>01472                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    910. 

  910. <a name="l01473"></a>01473                                 1.0,                    xGrad,                  0.0,                    0.0,
    911. 

  911. <a name="l01474"></a>01474                                 0.0,                    1.0,                    0.0,                    0.0,
    912. 

  912. <a name="l01475"></a>01475                                 0.0,                    zGrad,                  1.0,                    0.0,
    913. 

  913. <a name="l01476"></a>01476                                 0.0,                    0.0,                    0.0,                    1.0);
    914. 

  914. <a name="l01477"></a>01477         }
    915. 

  915. <a name="l01478"></a>01478 
    916. 

  916. <a name="l01494"></a><a class="code" href="class_matrix4.html#a8910377a500723d4400f9c9a1374bdcc">01494</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a8910377a500723d4400f9c9a1374bdcc">shearZ</a>(Real xGrad, Real yGrad)
    917. 

  917. <a name="l01495"></a>01495         {
    918. 

  918. <a name="l01496"></a>01496                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    919. 

  919. <a name="l01497"></a>01497                                 1.0,                    0.0,                    xGrad,                  0.0,
    920. 

  920. <a name="l01498"></a>01498                                 0.0,                    1.0,                    yGrad,                  0.0,
    921. 

  921. <a name="l01499"></a>01499                                 0.0,                    0.0,                    1.0,                    0.0,
    922. 

  922. <a name="l01500"></a>01500                                 0.0,                    0.0,                    0.0,                    1.0);
    923. 

  923. <a name="l01501"></a>01501         }
    924. 

  924. <a name="l01502"></a>01502 
    925. 

  925. <a name="l01509"></a><a class="code" href="class_matrix4.html#a5449227a08218339a3cf75a4dc18c2e0">01509</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a5449227a08218339a3cf75a4dc18c2e0">shear</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;shearAxis, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;shearVector)
    926. 

  926. <a name="l01510"></a>01510         {
    927. 

  927. <a name="l01511"></a>01511                 Real i = shearAxis.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>;                   <span class="comment">// [1,0,0] (dot) shearAxis</span>
    928. 

  928. <a name="l01512"></a>01512                 Real j = shearAxis.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>;                   <span class="comment">// [0,1,0] (dot) shearAxis</span>
    929. 

  929. <a name="l01513"></a>01513                 Real k = shearAxis.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;                   <span class="comment">// [0,0,1] (dot) shearAxis</span>
    930. 

  930. <a name="l01514"></a>01514 
    931. 

  931. <a name="l01515"></a>01515                 <span class="comment">//compute the base vectors</span>
    932. 

  932. <a name="l01516"></a>01516                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> baseI = <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a>( 1.0, 0.0, 0.0 )  +  shearVector * i;
    933. 

  933. <a name="l01517"></a>01517                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> baseJ = <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a>( 0.0, 1.0, 0.0 )  +  shearVector * j;
    934. 

  934. <a name="l01518"></a>01518                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> baseK = <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a>( 0.0, 0.0, 1.0 )  +  shearVector * k;
    935. 

  935. <a name="l01519"></a>01519 
    936. 

  936. <a name="l01520"></a>01520                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( baseI, baseJ, baseK );
    937. 

  937. <a name="l01521"></a>01521         }
    938. 

  938. <a name="l01522"></a>01522 
    939. 

  939. <a name="l01529"></a><a class="code" href="class_matrix4.html#a5d00743df20c980d7e386fe5f37dd1bc">01529</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a5449227a08218339a3cf75a4dc18c2e0">shear</a>(<span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;shearAxis, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;shearVector)
    940. 

  940. <a name="l01530"></a>01530         {
    941. 

  941. <a name="l01531"></a>01531                 Real i = shearAxis.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a>;                   <span class="comment">// [1,0] (dot) shearAxis</span>
    942. 

  942. <a name="l01532"></a>01532                 Real j = shearAxis.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a>;                   <span class="comment">// [0,1] (dot) shearAxis</span>
    943. 

  943. <a name="l01533"></a>01533 
    944. 

  944. <a name="l01534"></a>01534                 <span class="comment">//compute the base vectors</span>
    945. 

  945. <a name="l01535"></a>01535                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> baseI = <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a>( 1.0, 0.0 )  +  shearVector * i;
    946. 

  946. <a name="l01536"></a>01536                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> baseJ = <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a>( 0.0, 1.0 )  +  shearVector * j;
    947. 

  947. <a name="l01537"></a>01537 
    948. 

  948. <a name="l01538"></a>01538                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( baseI, baseJ );
    949. 

  949. <a name="l01539"></a>01539         }
    950. 

  950. <a name="l01540"></a>01540 
    951. 

  951. <a name="l01541"></a>01541 
    952. 

  952. <a name="l01542"></a>01542 
    953. 

  953. <a name="l01543"></a>01543 
    954. 

  954. <a name="l01544"></a>01544 
    955. 

  955. <a name="l01560"></a><a class="code" href="class_matrix4.html#a96df9be499e916eefefaccb42c1df81a">01560</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a96df9be499e916eefefaccb42c1df81a">reflect</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;n)
    956. 

  956. <a name="l01561"></a>01561         {
    957. 

  957. <a name="l01562"></a>01562                 Real nx = -2.0 * n.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>,   ny = -2.0 * n.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>,   nz = -2.0 * n.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>;
    958. 

  958. <a name="l01563"></a>01563                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    959. 

  959. <a name="l01564"></a>01564                         1.0 + nx * n.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>,         nx * n.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>,                       nx * n.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>,                       0.0,
    960. 

  960. <a name="l01565"></a>01565                         ny * n.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>,                       1.0 + ny * n.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>,         ny * n.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>,                       0.0,
    961. 

  961. <a name="l01566"></a>01566                         nz * n.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a>,                       nz * n.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a>,                       1.0 + nz * n.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a>,         0.0,
    962. 

  962. <a name="l01567"></a>01567                         0.0,                            0.0,                            0.0,                            1.0);
    963. 

  963. <a name="l01568"></a>01568         }
    964. 

  964. <a name="l01569"></a>01569 
    965. 

  965. <a name="l01587"></a><a class="code" href="class_matrix4.html#a83a13187b8a56c03b998cf3ef55f5731">01587</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a96df9be499e916eefefaccb42c1df81a">reflect</a>(<span class="keyword">const</span> <a class="code" href="class_plane.html">Plane&lt;Real&gt;</a> &amp;p)
    966. 

  966. <a name="l01588"></a>01588         {
    967. 

  967. <a name="l01589"></a>01589                 Real nx = -2 * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.x,   ny = -2 * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.y,   nz = -2 * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.z;
    968. 

  968. <a name="l01590"></a>01590                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    969. 

  969. <a name="l01591"></a>01591                         1.0 + nx * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.x,       nx * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.y,             nx * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.z,                     -nx * p.<a class="code" href="class_plane.html#ac408842ab3dd36c91e2a8789fb3a9927">d</a>,
    970. 

  970. <a name="l01592"></a>01592                         ny * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.x,                     1.0 + ny * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.y,       ny * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.z,                     -ny * p.<a class="code" href="class_plane.html#ac408842ab3dd36c91e2a8789fb3a9927">d</a>,
    971. 

  971. <a name="l01593"></a>01593                         nz * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.x,                     nz * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.y,                     1.0 + nz * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a>.z,       -nz * p.<a class="code" href="class_plane.html#ac408842ab3dd36c91e2a8789fb3a9927">d</a>,
    972. 

  972. <a name="l01594"></a>01594                         0.0,                            0.0,                            0.0,                            1.0);
    973. 

  973. <a name="l01595"></a>01595         }
    974. 

  974. <a name="l01596"></a>01596 
    975. 

  975. <a name="l01597"></a>01597 
    976. 

  976. <a name="l01598"></a>01598 
    977. 

  977. <a name="l01599"></a>01599 
    978. 

  978. <a name="l01600"></a>01600 
    979. 

  979. <a name="l01601"></a>01601 
    980. 

  980. <a name="l01614"></a><a class="code" href="class_matrix4.html#a741a91de3fe735a6b5b6dadbcaf3e3a0">01614</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a741a91de3fe735a6b5b6dadbcaf3e3a0">spaceToSpace</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;i, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;j, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;k, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;u, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;v, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;w)
    981. 

  981. <a name="l01615"></a>01615         {
    982. 

  982. <a name="l01616"></a>01616                 <span class="comment">//inverse of matrix ijk multiplied by matrix uvw</span>
    983. 

  983. <a name="l01617"></a>01617                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( u, v, w )  *  <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( i, j, k ).<a class="code" href="class_matrix4.html#ab109425d374cc7cbd76a6380d5b20639">inverse</a>();
    984. 

  984. <a name="l01618"></a>01618         }
    985. 

  985. <a name="l01619"></a>01619 
    986. 

  986. <a name="l01630"></a><a class="code" href="class_matrix4.html#aec4642e927fc26e1bad46fcecb242246">01630</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a741a91de3fe735a6b5b6dadbcaf3e3a0">spaceToSpace</a>(<span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;i, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;j, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;u, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;v)
    987. 

  987. <a name="l01631"></a>01631         {
    988. 

  988. <a name="l01632"></a>01632                 <span class="comment">//inverse of matrix ij multiplied by matrix uv</span>
    989. 

  989. <a name="l01633"></a>01633                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( u, v )  *  <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( i, j ).<a class="code" href="class_matrix4.html#ab109425d374cc7cbd76a6380d5b20639">inverse</a>();
    990. 

  990. <a name="l01634"></a>01634         }
    991. 

  991. <a name="l01635"></a>01635 
    992. 

  992. <a name="l01646"></a><a class="code" href="class_matrix4.html#acbadecc050d9402116bf13cb5f411187">01646</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a741a91de3fe735a6b5b6dadbcaf3e3a0">spaceToSpace</a>(<span class="keyword">const</span> <a class="code" href="class_triangle3.html">Triangle3&lt;Real&gt;</a> &amp;t0, <span class="keyword">const</span> <a class="code" href="class_triangle3.html">Triangle3&lt;Real&gt;</a> &amp;t1)
    993. 

  993. <a name="l01647"></a>01647         {
    994. 

  994. <a name="l01648"></a>01648                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> i = t0.<a class="code" href="class_triangle3.html#af5e19eae6719f5d123dce463e6234622">b</a> - t0.<a class="code" href="class_triangle3.html#abebc5994b785ceee6c867912dd0fb1a2">a</a>;
    995. 

  995. <a name="l01649"></a>01649                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> j = t0.<a class="code" href="class_triangle3.html#affe2e5e9da1ee3da03206d14bd098229">c</a> - t0.<a class="code" href="class_triangle3.html#abebc5994b785ceee6c867912dd0fb1a2">a</a>;
    996. 

  996. <a name="l01650"></a>01650                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> k = i.<a class="code" href="class_vector3.html#a52a19e76dfc4b165dac2b4b1faa85ba5">cross</a>( j );
    997. 

  997. <a name="l01651"></a>01651 
    998. 

  998. <a name="l01652"></a>01652                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> u = t1.<a class="code" href="class_triangle3.html#af5e19eae6719f5d123dce463e6234622">b</a> - t1.<a class="code" href="class_triangle3.html#abebc5994b785ceee6c867912dd0fb1a2">a</a>;
    999. 

  999. <a name="l01653"></a>01653                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> v = t1.<a class="code" href="class_triangle3.html#affe2e5e9da1ee3da03206d14bd098229">c</a> - t1.<a class="code" href="class_triangle3.html#abebc5994b785ceee6c867912dd0fb1a2">a</a>;
    1000. 

  1000. <a name="l01654"></a>01654                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> w = u.<a class="code" href="class_vector3.html#a52a19e76dfc4b165dac2b4b1faa85ba5">cross</a>( v );
    1001. 

  1001. <a name="l01655"></a>01655 
    1002. 

  1002. <a name="l01656"></a>01656                 <span class="comment">//inverse of matric ijk multiplied by matrix uvw</span>
    1003. 

  1003. <a name="l01657"></a>01657                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( t1.<a class="code" href="class_triangle3.html#abebc5994b785ceee6c867912dd0fb1a2">a</a>, u, v, w )  *  <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( t0.<a class="code" href="class_triangle3.html#abebc5994b785ceee6c867912dd0fb1a2">a</a>, i, j, k ).<a class="code" href="class_matrix4.html#ab109425d374cc7cbd76a6380d5b20639">inverse</a>();
    1004. 

  1004. <a name="l01658"></a>01658         }
    1005. 

  1005. <a name="l01659"></a>01659 
    1006. 

  1006. <a name="l01670"></a><a class="code" href="class_matrix4.html#ac8c29b609236acc9223d2000fb96b069">01670</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a741a91de3fe735a6b5b6dadbcaf3e3a0">spaceToSpace</a>(<span class="keyword">const</span> <a class="code" href="class_triangle2.html">Triangle2&lt;Real&gt;</a> &amp;t0, <span class="keyword">const</span> <a class="code" href="class_triangle2.html">Triangle2&lt;Real&gt;</a> &amp;t1)
    1007. 

  1007. <a name="l01671"></a>01671         {
    1008. 

  1008. <a name="l01672"></a>01672                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> i = t0.<a class="code" href="class_triangle2.html#ac4ff4a7063c65cfd765baf19da98b630">b</a> - t0.<a class="code" href="class_triangle2.html#aed34c819d93e564e5b6071cec78529a1">a</a>;
    1009. 

  1009. <a name="l01673"></a>01673                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> j = t0.<a class="code" href="class_triangle2.html#a6351917ea4f21c437415fae5386b568e">c</a> - t0.<a class="code" href="class_triangle2.html#aed34c819d93e564e5b6071cec78529a1">a</a>;
    1010. 

  1010. <a name="l01674"></a>01674 
    1011. 

  1011. <a name="l01675"></a>01675                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> u = t1.<a class="code" href="class_triangle2.html#ac4ff4a7063c65cfd765baf19da98b630">b</a> - t1.<a class="code" href="class_triangle2.html#aed34c819d93e564e5b6071cec78529a1">a</a>;
    1012. 

  1012. <a name="l01676"></a>01676                 <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> v = t1.<a class="code" href="class_triangle2.html#a6351917ea4f21c437415fae5386b568e">c</a> - t1.<a class="code" href="class_triangle2.html#aed34c819d93e564e5b6071cec78529a1">a</a>;
    1013. 

  1013. <a name="l01677"></a>01677 
    1014. 

  1014. <a name="l01678"></a>01678                 <span class="comment">//inverse of matric ijk multiplied by matrix uvw</span>
    1015. 

  1015. <a name="l01679"></a>01679                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( t1.<a class="code" href="class_triangle2.html#aed34c819d93e564e5b6071cec78529a1">a</a>, u, v )  *  <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( t0.<a class="code" href="class_triangle2.html#aed34c819d93e564e5b6071cec78529a1">a</a>, i, j ).<a class="code" href="class_matrix4.html#ab109425d374cc7cbd76a6380d5b20639">inverse</a>();
    1016. 

  1016. <a name="l01680"></a>01680         }
    1017. 

  1017. <a name="l01681"></a>01681 
    1018. 

  1018. <a name="l01682"></a>01682 
    1019. 

  1019. <a name="l01683"></a>01683 
    1020. 

  1020. <a name="l01684"></a>01684 
    1021. 

  1021. <a name="l01690"></a><a class="code" href="class_matrix4.html#a4477765408f415a57e8261c8057b9f9e">01690</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a4477765408f415a57e8261c8057b9f9e">axisToAxis</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;src, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;dst)
    1022. 

  1022. <a name="l01691"></a>01691         {
    1023. 

  1023. <a name="l01692"></a>01692                 <span class="comment">//find the angle between the vectors</span>
    1024. 

  1024. <a name="l01693"></a>01693                 <span class="comment">//and generate a rotation matrix, rotating that amount, where the axis</span>
    1025. 

  1025. <a name="l01694"></a>01694                 <span class="comment">//of rotation is the vector that is perpendicular to src and dst</span>
    1026. 

  1026. <a name="l01695"></a>01695                 Real cosAngle = src.<a class="code" href="class_vector3.html#a7a1a9a2eccc74d35b858482cccd33398">dot</a>( dst );
    1027. 

  1027. <a name="l01696"></a>01696 
    1028. 

  1028. <a name="l01697"></a>01697                 <span class="comment">//check if src and dst are the same vector (include margin of error)</span>
    1029. 

  1029. <a name="l01698"></a>01698                 <span class="keywordflow">if</span> ( cosAngle  &gt;  1.0 - <a class="code" href="epsilon_8h.html#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a> )
    1030. 

  1030. <a name="l01699"></a>01699                 {
    1031. 

  1031. <a name="l01700"></a>01700                         <span class="comment">//if so, result is identity matrix</span>
    1032. 

  1032. <a name="l01701"></a>01701                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>();
    1033. 

  1033. <a name="l01702"></a>01702                 }
    1034. 

  1034. <a name="l01703"></a>01703                 <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( cosAngle  &lt;  -1.0 + <a class="code" href="epsilon_8h.html#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a> )         <span class="comment">//check if they oppose</span>
    1035. 

  1035. <a name="l01704"></a>01704                 {
    1036. 

  1036. <a name="l01705"></a>01705                         <span class="comment">//get a vector perpendicular to the src vector</span>
    1037. 

  1037. <a name="l01706"></a>01706                         <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> axis = src.<a class="code" href="class_vector3.html#af41e684631e98e80eeb5a01718e19325">perpendicularVector</a>();
    1038. 

  1038. <a name="l01707"></a>01707                         axis.<a class="code" href="class_vector3.html#a4c3effe55b84aa06560325375a20b44c">normalise</a>();
    1039. 

  1039. <a name="l01708"></a>01708 
    1040. 

  1040. <a name="l01709"></a>01709                         <span class="comment">//rotate around this by 180 degrees</span>
    1041. 

  1041. <a name="l01710"></a>01710                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#ad8b2862b61c1b6b8d5488b68d1f4a2e2">Matrix4&lt;Real&gt;::rotate</a>( axis, <a class="code" href="_math_constants_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a> * 2.0 );
    1042. 

  1042. <a name="l01711"></a>01711                 }
    1043. 

  1043. <a name="l01712"></a>01712                 <span class="keywordflow">else</span>
    1044. 

  1044. <a name="l01713"></a>01713                 {
    1045. 

  1045. <a name="l01714"></a>01714                         <span class="comment">//calculate rotation axis</span>
    1046. 

  1046. <a name="l01715"></a>01715                         <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> axis = src.<a class="code" href="class_vector3.html#a52a19e76dfc4b165dac2b4b1faa85ba5">cross</a>( dst );
    1047. 

  1047. <a name="l01716"></a>01716                         axis.<a class="code" href="class_vector3.html#a4c3effe55b84aa06560325375a20b44c">normalise</a>();
    1048. 

  1048. <a name="l01717"></a>01717                         <span class="comment">//calculate angle</span>
    1049. 

  1049. <a name="l01718"></a>01718                         Real angle = acos( cosAngle );
    1050. 

  1050. <a name="l01719"></a>01719                         <span class="comment">//generate the matrix</span>
    1051. 

  1051. <a name="l01720"></a>01720                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#ad8b2862b61c1b6b8d5488b68d1f4a2e2">Matrix4&lt;Real&gt;::rotate</a>( axis, angle );
    1052. 

  1052. <a name="l01721"></a>01721                 }
    1053. 

  1053. <a name="l01722"></a>01722         }
    1054. 

  1054. <a name="l01723"></a>01723 
    1055. 

  1055. <a name="l01727"></a><a class="code" href="class_matrix4.html#aa737a14b0eb18f3205395803dbc289cf">01727</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a4477765408f415a57e8261c8057b9f9e">axisToAxis</a>(<a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8e">Axis</a> src, <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8e">Axis</a> dst)
    1056. 

  1056. <a name="l01728"></a>01728         {
    1057. 

  1057. <a name="l01729"></a>01729                 <span class="comment">//s is a scale factor, used to reduce code size, it is used to</span>
    1058. 

  1058. <a name="l01730"></a>01730                 <span class="comment">//invert the effect of the matrix in the case of a negative axis</span>
    1059. 

  1059. <a name="l01731"></a>01731                 Real s = 1.0;
    1060. 

  1060. <a name="l01732"></a>01732 
    1061. 

  1061. <a name="l01733"></a>01733                 <span class="keywordflow">switch</span>( src )
    1062. 

  1062. <a name="l01734"></a>01734                 {
    1063. 

  1063. <a name="l01735"></a>01735                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea2b555f82c50a0b2946e0a9d8018e6b0f">AXIS_NEGATIVE_X</a>:
    1064. 

  1064. <a name="l01736"></a>01736                         s = -1.0;
    1065. 

  1065. <a name="l01737"></a>01737                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea96f9d79b61cc5f3a85c3905da30d9214">AXIS_X</a>:
    1066. 

  1066. <a name="l01738"></a>01738                         <span class="keywordflow">switch</span>( dst )
    1067. 

  1067. <a name="l01739"></a>01739                         {
    1068. 

  1068. <a name="l01740"></a>01740                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea2b555f82c50a0b2946e0a9d8018e6b0f">AXIS_NEGATIVE_X</a>:
    1069. 

  1069. <a name="l01741"></a>01741                                 s = -s;
    1070. 

  1070. <a name="l01742"></a>01742                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea96f9d79b61cc5f3a85c3905da30d9214">AXIS_X</a>:
    1071. 

  1071. <a name="l01743"></a>01743                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1072. 

  1072. <a name="l01744"></a>01744                                                 s,              0.0,    0.0,    0.0,
    1073. 

  1073. <a name="l01745"></a>01745                                                 0.0,    1.0,    0.0,    0.0,
    1074. 

  1074. <a name="l01746"></a>01746                                                 0.0,    0.0,    s,              0.0,
    1075. 

  1075. <a name="l01747"></a>01747                                                 0.0,    0.0,    0.0,    1.0 );
    1076. 

  1076. <a name="l01748"></a>01748                                 <span class="keywordflow">break</span>;
    1077. 

  1077. <a name="l01749"></a>01749                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eadf1aa2282fb6ede0d64215787fc3f3fd">AXIS_NEGATIVE_Y</a>:
    1078. 

  1078. <a name="l01750"></a>01750                                 s = -s;
    1079. 

  1079. <a name="l01751"></a>01751                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eabac2b599f684a034e45fbac20013a56b">AXIS_Y</a>:
    1080. 

  1080. <a name="l01752"></a>01752                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1081. 

  1081. <a name="l01753"></a>01753                                                 0.0,    -s,             0.0,    0.0,
    1082. 

  1082. <a name="l01754"></a>01754                                                 s,              0.0,    0.0,    0.0,
    1083. 

  1083. <a name="l01755"></a>01755                                                 0.0,    0.0,    1.0,    0.0,
    1084. 

  1084. <a name="l01756"></a>01756                                                 0.0,    0.0,    0.0,    1.0 );
    1085. 

  1085. <a name="l01757"></a>01757                                 <span class="keywordflow">break</span>;
    1086. 

  1086. <a name="l01758"></a>01758                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea03634122e3cf04eb309624665f2f3289">AXIS_NEGATIVE_Z</a>:
    1087. 

  1087. <a name="l01759"></a>01759                                 s = -s;
    1088. 

  1088. <a name="l01760"></a>01760                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eaf30d19a1a44e01420e4e5b86cde3ecd8">AXIS_Z</a>:
    1089. 

  1089. <a name="l01761"></a>01761                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1090. 

  1090. <a name="l01762"></a>01762                                                 0.0,    0.0,    -s,             0.0,
    1091. 

  1091. <a name="l01763"></a>01763                                                 0.0,    1.0,    0.0,    0.0,
    1092. 

  1092. <a name="l01764"></a>01764                                                 s,              0.0,    0.0,    0.0,
    1093. 

  1093. <a name="l01765"></a>01765                                                 0.0,    0.0,    0.0,    1.0 );
    1094. 

  1094. <a name="l01766"></a>01766                                 <span class="keywordflow">break</span>;
    1095. 

  1095. <a name="l01767"></a>01767                         <span class="keywordflow">default</span>:
    1096. 

  1096. <a name="l01768"></a>01768                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>();
    1097. 

  1097. <a name="l01769"></a>01769                         }
    1098. 

  1098. <a name="l01770"></a>01770                         <span class="keywordflow">break</span>;
    1099. 

  1099. <a name="l01771"></a>01771 
    1100. 

  1100. <a name="l01772"></a>01772                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eadf1aa2282fb6ede0d64215787fc3f3fd">AXIS_NEGATIVE_Y</a>:
    1101. 

  1101. <a name="l01773"></a>01773                         s = -1.0;
    1102. 

  1102. <a name="l01774"></a>01774                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eabac2b599f684a034e45fbac20013a56b">AXIS_Y</a>:
    1103. 

  1103. <a name="l01775"></a>01775                         <span class="keywordflow">switch</span>( dst )
    1104. 

  1104. <a name="l01776"></a>01776                         {
    1105. 

  1105. <a name="l01777"></a>01777                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea2b555f82c50a0b2946e0a9d8018e6b0f">AXIS_NEGATIVE_X</a>:
    1106. 

  1106. <a name="l01778"></a>01778                                 s = -s;
    1107. 

  1107. <a name="l01779"></a>01779                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea96f9d79b61cc5f3a85c3905da30d9214">AXIS_X</a>:
    1108. 

  1108. <a name="l01780"></a>01780                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1109. 

  1109. <a name="l01781"></a>01781                                                 0.0,    s,      0.0,    0.0,
    1110. 

  1110. <a name="l01782"></a>01782                                                 -s,             0.0,    0.0,    0.0,
    1111. 

  1111. <a name="l01783"></a>01783                                                 0.0,    0.0,    1.0,    0.0,
    1112. 

  1112. <a name="l01784"></a>01784                                                 0.0,    0.0,    0.0,    1.0 );
    1113. 

  1113. <a name="l01785"></a>01785                                 <span class="keywordflow">break</span>;
    1114. 

  1114. <a name="l01786"></a>01786                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eadf1aa2282fb6ede0d64215787fc3f3fd">AXIS_NEGATIVE_Y</a>:
    1115. 

  1115. <a name="l01787"></a>01787                                 s = -s;
    1116. 

  1116. <a name="l01788"></a>01788                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eabac2b599f684a034e45fbac20013a56b">AXIS_Y</a>:
    1117. 

  1117. <a name="l01789"></a>01789                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1118. 

  1118. <a name="l01790"></a>01790                                                 1.0,    0.0,    0.0,    0.0,
    1119. 

  1119. <a name="l01791"></a>01791                                                 0.0,    s,              0.0,    0.0,
    1120. 

  1120. <a name="l01792"></a>01792                                                 0.0,    0.0,    s,              0.0,
    1121. 

  1121. <a name="l01793"></a>01793                                                 0.0,    0.0,    0.0,    1.0 );
    1122. 

  1122. <a name="l01794"></a>01794                                 <span class="keywordflow">break</span>;
    1123. 

  1123. <a name="l01795"></a>01795                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea03634122e3cf04eb309624665f2f3289">AXIS_NEGATIVE_Z</a>:
    1124. 

  1124. <a name="l01796"></a>01796                                 s = -s;
    1125. 

  1125. <a name="l01797"></a>01797                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eaf30d19a1a44e01420e4e5b86cde3ecd8">AXIS_Z</a>:
    1126. 

  1126. <a name="l01798"></a>01798                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1127. 

  1127. <a name="l01799"></a>01799                                                 1.0,    0.0,    0.0,    0.0,
    1128. 

  1128. <a name="l01800"></a>01800                                                 0.0,    0.0,    -s,             0.0,
    1129. 

  1129. <a name="l01801"></a>01801                                                 0.0,    s,              0.0,    0.0,
    1130. 

  1130. <a name="l01802"></a>01802                                                 0.0,    0.0,    0.0,    1.0 );
    1131. 

  1131. <a name="l01803"></a>01803                                 <span class="keywordflow">break</span>;
    1132. 

  1132. <a name="l01804"></a>01804                         <span class="keywordflow">default</span>:
    1133. 

  1133. <a name="l01805"></a>01805                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>();
    1134. 

  1134. <a name="l01806"></a>01806                         }
    1135. 

  1135. <a name="l01807"></a>01807                         <span class="keywordflow">break</span>;
    1136. 

  1136. <a name="l01808"></a>01808 
    1137. 

  1137. <a name="l01809"></a>01809                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea03634122e3cf04eb309624665f2f3289">AXIS_NEGATIVE_Z</a>:
    1138. 

  1138. <a name="l01810"></a>01810                         s = -1.0;
    1139. 

  1139. <a name="l01811"></a>01811                 <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eaf30d19a1a44e01420e4e5b86cde3ecd8">AXIS_Z</a>:
    1140. 

  1140. <a name="l01812"></a>01812                         <span class="keywordflow">switch</span>( dst )
    1141. 

  1141. <a name="l01813"></a>01813                         {
    1142. 

  1142. <a name="l01814"></a>01814                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea2b555f82c50a0b2946e0a9d8018e6b0f">AXIS_NEGATIVE_X</a>:
    1143. 

  1143. <a name="l01815"></a>01815                                 s = -s;
    1144. 

  1144. <a name="l01816"></a>01816                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea96f9d79b61cc5f3a85c3905da30d9214">AXIS_X</a>:
    1145. 

  1145. <a name="l01817"></a>01817                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1146. 

  1146. <a name="l01818"></a>01818                                                 0.0,    0.0,    s,              0.0,
    1147. 

  1147. <a name="l01819"></a>01819                                                 0.0,    1.0,    0.0,    0.0,
    1148. 

  1148. <a name="l01820"></a>01820                                                 -s,             0.0,    0.0,    0.0,
    1149. 

  1149. <a name="l01821"></a>01821                                                 0.0,    0.0,    0.0,    1.0 );
    1150. 

  1150. <a name="l01822"></a>01822                                 <span class="keywordflow">break</span>;
    1151. 

  1151. <a name="l01823"></a>01823                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eadf1aa2282fb6ede0d64215787fc3f3fd">AXIS_NEGATIVE_Y</a>:
    1152. 

  1152. <a name="l01824"></a>01824                                 s = -s;
    1153. 

  1153. <a name="l01825"></a>01825                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eabac2b599f684a034e45fbac20013a56b">AXIS_Y</a>:
    1154. 

  1154. <a name="l01826"></a>01826                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1155. 

  1155. <a name="l01827"></a>01827                                                 1.0,    0.0,    0.0,    0.0,
    1156. 

  1156. <a name="l01828"></a>01828                                                 0.0,    0.0,    s,              0.0,
    1157. 

  1157. <a name="l01829"></a>01829                                                 0.0,    -s,             0.0,    0.0,
    1158. 

  1158. <a name="l01830"></a>01830                                                 0.0,    0.0,    0.0,    1.0 );
    1159. 

  1159. <a name="l01831"></a>01831                                 <span class="keywordflow">break</span>;
    1160. 

  1160. <a name="l01832"></a>01832                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8ea03634122e3cf04eb309624665f2f3289">AXIS_NEGATIVE_Z</a>:
    1161. 

  1161. <a name="l01833"></a>01833                                 s = -s;
    1162. 

  1162. <a name="l01834"></a>01834                         <span class="keywordflow">case</span> <a class="code" href="_axis_8h.html#ae3996976d8ffb3e58d88f58227473f8eaf30d19a1a44e01420e4e5b86cde3ecd8">AXIS_Z</a>:
    1163. 

  1163. <a name="l01835"></a>01835                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1164. 

  1164. <a name="l01836"></a>01836                                                 s,              0.0,    0.0,    0.0,
    1165. 

  1165. <a name="l01837"></a>01837                                                 0.0,    1.0,    0.0,    0.0,
    1166. 

  1166. <a name="l01838"></a>01838                                                 0.0,    0.0,    s,              0.0,
    1167. 

  1167. <a name="l01839"></a>01839                                                 0.0,    0.0,    0.0,    1.0 );
    1168. 

  1168. <a name="l01840"></a>01840                                 <span class="keywordflow">break</span>;
    1169. 

  1169. <a name="l01841"></a>01841                         <span class="keywordflow">default</span>:
    1170. 

  1170. <a name="l01842"></a>01842                                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>();
    1171. 

  1171. <a name="l01843"></a>01843                         }
    1172. 

  1172. <a name="l01844"></a>01844                         <span class="keywordflow">break</span>;
    1173. 

  1173. <a name="l01845"></a>01845                 <span class="keywordflow">default</span>:
    1174. 

  1174. <a name="l01846"></a>01846                         <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#aaada5087a8dbf2fea0053e12ba617a36">Matrix4</a>();
    1175. 

  1175. <a name="l01847"></a>01847                 }
    1176. 

  1176. <a name="l01848"></a>01848         }
    1177. 

  1177. <a name="l01849"></a>01849 
    1178. 

  1178. <a name="l01850"></a>01850 
    1179. 

  1179. <a name="l01851"></a>01851 
    1180. 

  1180. <a name="l01852"></a>01852 
    1181. 

  1181. <a name="l01853"></a>01853 
    1182. 

  1182. <a name="l01861"></a><a class="code" href="class_matrix4.html#a49949800bcf6c3291f9ae27309b11fcd">01861</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a49949800bcf6c3291f9ae27309b11fcd">lookat</a>(<span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;position, <span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;lookatPoint, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;up)
    1183. 

  1183. <a name="l01862"></a>01862         {
    1184. 

  1184. <a name="l01863"></a>01863                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> lookDirection = lookatPoint - position;
    1185. 

  1185. <a name="l01864"></a>01864                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> right = lookDirection.<a class="code" href="class_vector3.html#a52a19e76dfc4b165dac2b4b1faa85ba5">cross</a>( up );
    1186. 

  1186. <a name="l01865"></a>01865 
    1187. 

  1187. <a name="l01866"></a>01866                 <span class="keywordflow">if</span> ( right.<a class="code" href="class_vector3.html#ac62b5b1061bb3f2e1a704cc466a22865">sqrLength</a>() &lt; <a class="code" href="epsilon_8h.html#aff3da19778fa0f4fbb3b372ded62a6e8">SQR_EPSILON</a> )
    1188. 

  1188. <a name="l01867"></a>01867                 {
    1189. 

  1189. <a name="l01868"></a>01868                         right = <a class="code" href="class_vector3.html">Vector3</a>( 1.0, 0.0, 0.0 );
    1190. 

  1190. <a name="l01869"></a>01869                 }
    1191. 

  1191. <a name="l01870"></a>01870 
    1192. 

  1192. <a name="l01871"></a>01871                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> realUp = right.<a class="code" href="class_vector3.html#a52a19e76dfc4b165dac2b4b1faa85ba5">cross</a>( lookDirection );
    1193. 

  1193. <a name="l01872"></a>01872 
    1194. 

  1194. <a name="l01873"></a>01873                 lookDirection.<a class="code" href="class_vector3.html#a4c3effe55b84aa06560325375a20b44c">normalise</a>();
    1195. 

  1195. <a name="l01874"></a>01874                 right.<a class="code" href="class_vector3.html#a4c3effe55b84aa06560325375a20b44c">normalise</a>();
    1196. 

  1196. <a name="l01875"></a>01875                 realUp.<a class="code" href="class_vector3.html#a4c3effe55b84aa06560325375a20b44c">normalise</a>();
    1197. 

  1197. <a name="l01876"></a>01876 
    1198. 

  1198. <a name="l01877"></a>01877                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#abd829df5f9e8a5712ffffdf848fe88e6">Matrix4&lt;Real&gt;::translate</a>( position.toVector3() )  *  <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( right, realUp, -lookDirection );
    1199. 

  1199. <a name="l01878"></a>01878         }
    1200. 

  1200. <a name="l01879"></a>01879 
    1201. 

  1201. <a name="l01886"></a><a class="code" href="class_matrix4.html#a061c4b0e616f7ea67f54a74821ae814f">01886</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a49949800bcf6c3291f9ae27309b11fcd">lookat</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;lookDirection, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;up)
    1202. 

  1202. <a name="l01887"></a>01887         {
    1203. 

  1203. <a name="l01888"></a>01888                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> right = lookDirection.<a class="code" href="class_vector3.html#a52a19e76dfc4b165dac2b4b1faa85ba5">cross</a>( up );
    1204. 

  1204. <a name="l01889"></a>01889 
    1205. 

  1205. <a name="l01890"></a>01890                 <span class="keywordflow">if</span> ( right.<a class="code" href="class_vector3.html#ac62b5b1061bb3f2e1a704cc466a22865">sqrLength</a>() &lt; <a class="code" href="epsilon_8h.html#aff3da19778fa0f4fbb3b372ded62a6e8">SQR_EPSILON</a> )
    1206. 

  1206. <a name="l01891"></a>01891                 {
    1207. 

  1207. <a name="l01892"></a>01892                         right = <a class="code" href="class_vector3.html">Vector3</a>( 1.0, 0.0, 0.0 );
    1208. 

  1208. <a name="l01893"></a>01893                 }
    1209. 

  1209. <a name="l01894"></a>01894 
    1210. 

  1210. <a name="l01895"></a>01895                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> realUp = right.<a class="code" href="class_vector3.html#a52a19e76dfc4b165dac2b4b1faa85ba5">cross</a>( lookDirection );
    1211. 

  1211. <a name="l01896"></a>01896 
    1212. 

  1212. <a name="l01897"></a>01897                 right.<a class="code" href="class_vector3.html#a4c3effe55b84aa06560325375a20b44c">normalise</a>();
    1213. 

  1213. <a name="l01898"></a>01898                 realUp.<a class="code" href="class_vector3.html#a4c3effe55b84aa06560325375a20b44c">normalise</a>();
    1214. 

  1214. <a name="l01899"></a>01899 
    1215. 

  1215. <a name="l01900"></a>01900                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>( right, realUp, -lookDirection.<a class="code" href="class_vector3.html#ab1da0c81b5b065311042ca85e0d06886">getNormalised</a>() );
    1216. 

  1216. <a name="l01901"></a>01901         }
    1217. 

  1217. <a name="l01902"></a>01902 
    1218. 

  1218. <a name="l01903"></a>01903 
    1219. 

  1219. <a name="l01904"></a>01904 
    1220. 

  1220. <a name="l01905"></a>01905 
    1221. 

  1221. <a name="l01906"></a>01906 
    1222. 

  1222. <a name="l01943"></a><a class="code" href="class_matrix4.html#aec05f6a16b342f21662ed88ff6769abc">01943</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#aec05f6a16b342f21662ed88ff6769abc">perspective</a>(Real nearClip, Real farClip)
    1223. 

  1223. <a name="l01944"></a>01944         {
    1224. 

  1224. <a name="l01945"></a>01945                 <span class="comment">/*</span>
    1225. 

  1225. <a name="l01946"></a>01946 <span class="comment">                */</span>
    1226. 

  1226. <a name="l01947"></a>01947                 Real a = farClip  /  ( nearClip - farClip );
    1227. 

  1227. <a name="l01948"></a>01948                 Real b = farClip * nearClip  /  ( nearClip - farClip );
    1228. 

  1228. <a name="l01949"></a>01949                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1229. 

  1229. <a name="l01950"></a>01950                         1.0,            0.0,            0.0,            0.0,
    1230. 

  1230. <a name="l01951"></a>01951                         0.0,            1.0,            0.0,            0.0,
    1231. 

  1231. <a name="l01952"></a>01952                         0.0,            0.0,            a,                      b,
    1232. 

  1232. <a name="l01953"></a>01953                         0.0,            0.0,            -1.0,           0.0 );
    1233. 

  1233. <a name="l01954"></a>01954         }
    1234. 

  1234. <a name="l01955"></a>01955 
    1235. 

  1235. <a name="l01956"></a>01956 
    1236. 

  1236. <a name="l01957"></a>01957 
    1237. 

  1237. <a name="l01958"></a>01958 
    1238. 

  1238. <a name="l01959"></a>01959 
    1239. 

  1239. <a name="l01996"></a><a class="code" href="class_matrix4.html#a1629b7ba21562c2f2a4f4668ec55512c">01996</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a1629b7ba21562c2f2a4f4668ec55512c">orthographic</a>(Real nearClip, Real farClip)
    1240. 

  1240. <a name="l01997"></a>01997         {
    1241. 

  1241. <a name="l01998"></a>01998                 Real a = 1.0  /  ( nearClip - farClip );
    1242. 

  1242. <a name="l01999"></a>01999                 Real b = nearClip  /  ( nearClip - farClip );
    1243. 

  1243. <a name="l02000"></a>02000                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1244. 

  1244. <a name="l02001"></a>02001                         1.0,            0.0,            0.0,            0.0,
    1245. 

  1245. <a name="l02002"></a>02002                         0.0,            1.0,            0.0,            0.0,
    1246. 

  1246. <a name="l02003"></a>02003                         0.0,            0.0,            a,                      b,
    1247. 

  1247. <a name="l02004"></a>02004                         0.0,            0.0,            0.0,            1.0 );
    1248. 

  1248. <a name="l02005"></a>02005         }
    1249. 

  1249. <a name="l02006"></a>02006 
    1250. 

  1250. <a name="l02007"></a>02007 
    1251. 

  1251. <a name="l02008"></a>02008 
    1252. 

  1252. <a name="l02009"></a>02009 
    1253. 

  1253. <a name="l02010"></a>02010 
    1254. 

  1254. <a name="l02031"></a><a class="code" href="class_matrix4.html#ab579810e7f793c7fe477064961d372f3">02031</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#ab579810e7f793c7fe477064961d372f3">camera</a>(Real fovY, Real aspectRatio)
    1255. 

  1255. <a name="l02032"></a>02032         {
    1256. 

  1256. <a name="l02033"></a>02033                 Real x, y;
    1257. 

  1257. <a name="l02034"></a>02034 
    1258. 

  1258. <a name="l02035"></a>02035                 y = tan( fovY * 0.5 );
    1259. 

  1259. <a name="l02036"></a>02036                 x = y * aspectRatio;
    1260. 

  1260. <a name="l02037"></a>02037 
    1261. 

  1261. <a name="l02038"></a>02038                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1262. 

  1262. <a name="l02039"></a>02039                         1.0 / x,        0.0,            0.0,            0.0,
    1263. 

  1263. <a name="l02040"></a>02040                         0.0,            1.0 / y,        0.0,            0.0,
    1264. 

  1264. <a name="l02041"></a>02041                         0.0,            0.0,            1.0,            0.0,
    1265. 

  1265. <a name="l02042"></a>02042                         0.0,            0.0,            0.0,            1.0 );
    1266. 

  1266. <a name="l02043"></a>02043         }
    1267. 

  1267. <a name="l02044"></a>02044 
    1268. 

  1268. <a name="l02045"></a>02045 
    1269. 

  1269. <a name="l02046"></a>02046 
    1270. 

  1270. <a name="l02047"></a>02047 
    1271. 

  1271. <a name="l02048"></a>02048 
    1272. 

  1272. <a name="l02064"></a><a class="code" href="class_matrix4.html#a3c38f75c7d676543fa630ec6c3e35f7b">02064</a>         <span class="keyword">inline</span> <span class="keyword">static</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a3c38f75c7d676543fa630ec6c3e35f7b">screen</a>(Real width, Real height)
    1273. 

  1273. <a name="l02065"></a>02065         {
    1274. 

  1274. <a name="l02066"></a>02066                 Real halfW = width * 0.5;
    1275. 

  1275. <a name="l02067"></a>02067                 Real halfH = height * 0.5;
    1276. 

  1276. <a name="l02068"></a>02068                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a>(
    1277. 

  1277. <a name="l02069"></a>02069                         halfW,  0.0,            0.0,            halfW,
    1278. 

  1278. <a name="l02070"></a>02070                         0.0,            halfH,  0.0,            halfH,
    1279. 

  1279. <a name="l02071"></a>02071                         0.0,            0.0,    1.0,            0.0,
    1280. 

  1280. <a name="l02072"></a>02072                         0.0,            0.0,    0.0,            1.0 );
    1281. 

  1281. <a name="l02073"></a>02073         }
    1282. 

  1282. <a name="l02074"></a>02074 
    1283. 

  1283. <a name="l02075"></a>02075 
    1284. 

  1284. <a name="l02076"></a>02076 
    1285. 

  1285. <a name="l02077"></a>02077 
    1286. 

  1286. <a name="l02078"></a>02078 
    1287. 

  1287. <a name="l02079"></a>02079 
    1288. 

  1288. <a name="l02080"></a>02080 
    1289. 

  1289. <a name="l02081"></a>02081 
    1290. 

  1290. <a name="l02085"></a><a class="code" href="class_matrix4.html#a95be289bdcbc5aaa75b183e767e7074d">02085</a>         <span class="keyword">inline</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a95be289bdcbc5aaa75b183e767e7074d">transformUnit</a>(<span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;v, Real minLengthSquared, Real maxLengthSquared)
    1291. 

  1291. <a name="l02086"></a>02086         {
    1292. 

  1292. <a name="l02087"></a>02087                 <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> result = v * (*this);
    1293. 

  1293. <a name="l02088"></a>02088                 Real l = result.<a class="code" href="class_vector3.html#ac62b5b1061bb3f2e1a704cc466a22865">sqrLength</a>();
    1294. 

  1294. <a name="l02089"></a>02089                 <span class="keywordflow">if</span> ( ( l &lt; minLengthSquared )  ||  ( l &gt; maxLengthSquared ) )
    1295. 

  1295. <a name="l02090"></a>02090                 {
    1296. 

  1296. <a name="l02091"></a>02091                         <span class="comment">//length not within [minLengthSquared,maxLengthSquared],</span>
    1297. 

  1297. <a name="l02092"></a>02092                         <span class="comment">//normalise result</span>
    1298. 

  1298. <a name="l02093"></a>02093                         result.<a class="code" href="class_vector3.html#a4c3effe55b84aa06560325375a20b44c">normalise</a>();
    1299. 

  1299. <a name="l02094"></a>02094                 }
    1300. 

  1300. <a name="l02095"></a>02095 
    1301. 

  1301. <a name="l02096"></a>02096                 <span class="keywordflow">return</span> result;
    1302. 

  1302. <a name="l02097"></a>02097         }
    1303. 

  1303. <a name="l02098"></a>02098 
    1304. 

  1304. <a name="l02099"></a>02099 
    1305. 

  1305. <a name="l02105"></a><a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">02105</a>         <span class="keyword">inline</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>(<span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;p3)<span class="keyword"> const</span>
    1306. 

  1306. <a name="l02106"></a>02106 <span class="keyword">        </span>{
    1307. 

  1307. <a name="l02107"></a>02107                 <a class="code" href="class_point4.html">Point4&lt;Real&gt;</a> p = <a class="code" href="class_point4.html">Point4&lt;Real&gt;</a>( p3 );
    1308. 

  1308. <a name="l02108"></a>02108 
    1309. 

  1309. <a name="l02109"></a>02109                 Real x =        p.<a class="code" href="class_point4.html#a6b917ad64bfe34fcc9c96c8503383d79">x</a> * <a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>  +  p.<a class="code" href="class_point4.html#a5c0adca4d7e2786cbc679339f169c231">y</a> * <a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>  +  p.<a class="code" href="class_point4.html#accb4b217c94c4ba3b9412b72fedc073d">z</a> * <a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>  +  p.<a class="code" href="class_point4.html#a7c6305abba96d66410806f6d75a38148">w</a> * <a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>;
    1310. 

  1310. <a name="l02110"></a>02110                 Real y =        p.<a class="code" href="class_point4.html#a6b917ad64bfe34fcc9c96c8503383d79">x</a> * <a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>  +  p.<a class="code" href="class_point4.html#a5c0adca4d7e2786cbc679339f169c231">y</a> * <a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>  +  p.<a class="code" href="class_point4.html#accb4b217c94c4ba3b9412b72fedc073d">z</a> * <a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>  +  p.<a class="code" href="class_point4.html#a7c6305abba96d66410806f6d75a38148">w</a> * <a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>;
    1311. 

  1311. <a name="l02111"></a>02111                 Real z =        p.<a class="code" href="class_point4.html#a6b917ad64bfe34fcc9c96c8503383d79">x</a> * <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>  +  p.<a class="code" href="class_point4.html#a5c0adca4d7e2786cbc679339f169c231">y</a> * <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>  +  p.<a class="code" href="class_point4.html#accb4b217c94c4ba3b9412b72fedc073d">z</a> * <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>  +  p.<a class="code" href="class_point4.html#a7c6305abba96d66410806f6d75a38148">w</a> * <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>;
    1312. 

  1312. <a name="l02112"></a>02112                 p.<a class="code" href="class_point4.html#a7c6305abba96d66410806f6d75a38148">w</a> =           p.<a class="code" href="class_point4.html#a6b917ad64bfe34fcc9c96c8503383d79">x</a> * <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>  +  p.<a class="code" href="class_point4.html#a5c0adca4d7e2786cbc679339f169c231">y</a> * <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>  +  p.<a class="code" href="class_point4.html#accb4b217c94c4ba3b9412b72fedc073d">z</a> * <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>  +  p.<a class="code" href="class_point4.html#a7c6305abba96d66410806f6d75a38148">w</a> * <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a>;
    1313. 

  1313. <a name="l02113"></a>02113                 p.<a class="code" href="class_point4.html#a6b917ad64bfe34fcc9c96c8503383d79">x</a> = x;
    1314. 

  1314. <a name="l02114"></a>02114                 p.<a class="code" href="class_point4.html#a5c0adca4d7e2786cbc679339f169c231">y</a> = y;
    1315. 

  1315. <a name="l02115"></a>02115                 p.<a class="code" href="class_point4.html#accb4b217c94c4ba3b9412b72fedc073d">z</a> = z;
    1316. 

  1316. <a name="l02116"></a>02116 
    1317. 

  1317. <a name="l02117"></a>02117                 <span class="keywordflow">return</span> p.<a class="code" href="class_point4.html#aa38f93b8925a9b8ae1ea973ca664a4e2">convertToPoint3</a>();
    1318. 

  1318. <a name="l02118"></a>02118         }
    1319. 

  1319. <a name="l02119"></a>02119         <span class="keyword">inline</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>(<span class="keyword">const</span> <a class="code" href="class_point2.html">Point2&lt;Real&gt;</a> &amp;p2, Real z)<span class="keyword"> const</span>
    1320. 

  1320. <a name="l02125"></a>02125 <span class="keyword">        </span>{
    1321. 

  1321. <a name="l02126"></a>02126                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>( <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a>( p2, z ) );
    1322. 

  1322. <a name="l02127"></a>02127         }
    1323. 

  1323. <a name="l02128"></a>02128 
    1324. 

  1324. <a name="l02134"></a><a class="code" href="class_matrix4.html#a98b5366e154598e9b4d18c18d368a928">02134</a>         <span class="keyword">inline</span> <a class="code" href="class_point2.html">Point2&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a98b5366e154598e9b4d18c18d368a928">transformHomogeneous2d</a>(<span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;p3)<span class="keyword"> const</span>
    1325. 

  1325. <a name="l02135"></a>02135 <span class="keyword">        </span>{
    1326. 

  1326. <a name="l02136"></a>02136                 <span class="keywordflow">return</span> <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>( p3 ).toPoint2();
    1327. 

  1327. <a name="l02137"></a>02137         }
    1328. 

  1328. <a name="l02138"></a>02138 
    1329. 

  1329. <a name="l02139"></a>02139 
    1330. 

  1330. <a name="l02145"></a><a class="code" href="class_matrix4.html#a09e4ed29e7d1215bb21bad690cf0bf67">02145</a>         <span class="keyword">inline</span> <a class="code" href="class_segment3.html">Segment3&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>(<span class="keyword">const</span> <a class="code" href="class_segment3.html">Segment3&lt;Real&gt;</a> &amp;seg3)<span class="keyword"> const</span>
    1331. 

  1331. <a name="l02146"></a>02146 <span class="keyword">        </span>{
    1332. 

  1332. <a name="l02147"></a>02147                 <span class="keywordflow">return</span> <a class="code" href="class_segment3.html">Segment3&lt;Real&gt;</a>( <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>( seg3.<a class="code" href="class_segment3.html#ad2e187b442c71beaf976b9b99046d261">a</a> ), <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>( seg3.<a class="code" href="class_segment3.html#a516b78fd50dcbc5c2272c882db99b891">b</a> ) );
    1333. 

  1333. <a name="l02148"></a>02148         }
    1334. 

  1334. <a name="l02149"></a>02149 
    1335. 

  1335. <a name="l02155"></a><a class="code" href="class_matrix4.html#a83cbae40ed8dac696c08b7888f1a3d1c">02155</a>         <span class="keyword">inline</span> <a class="code" href="class_segment2.html">Segment2&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a98b5366e154598e9b4d18c18d368a928">transformHomogeneous2d</a>(<span class="keyword">const</span> <a class="code" href="class_segment3.html">Segment3&lt;Real&gt;</a> &amp;seg3)<span class="keyword"> const</span>
    1336. 

  1336. <a name="l02156"></a>02156 <span class="keyword">        </span>{
    1337. 

  1337. <a name="l02157"></a>02157                 <span class="keywordflow">return</span> <a class="code" href="class_segment2.html">Segment2&lt;Real&gt;</a>( <a class="code" href="class_matrix4.html#a98b5366e154598e9b4d18c18d368a928">transformHomogeneous2d</a>( seg3.<a class="code" href="class_segment3.html#ad2e187b442c71beaf976b9b99046d261">a</a> ), <a class="code" href="class_matrix4.html#a98b5366e154598e9b4d18c18d368a928">transformHomogeneous2d</a>( seg3.<a class="code" href="class_segment3.html#a516b78fd50dcbc5c2272c882db99b891">b</a> ) );
    1338. 

  1338. <a name="l02158"></a>02158         }
    1339. 

  1339. <a name="l02159"></a>02159 
    1340. 

  1340. <a name="l02160"></a>02160 
    1341. 

  1341. <a name="l02166"></a><a class="code" href="class_matrix4.html#a012c6aca65f8c8f370141d2e823ccc6c">02166</a>         <span class="keyword">inline</span> <a class="code" href="class_triangle3.html">Triangle3&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>(<span class="keyword">const</span> <a class="code" href="class_triangle3.html">Triangle3&lt;Real&gt;</a> &amp;t3)<span class="keyword"> const</span>
    1342. 

  1342. <a name="l02167"></a>02167 <span class="keyword">        </span>{
    1343. 

  1343. <a name="l02168"></a>02168                 <span class="keywordflow">return</span> <a class="code" href="class_triangle3.html">Triangle3&lt;Real&gt;</a>( <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>( t3.<a class="code" href="class_triangle3.html#abebc5994b785ceee6c867912dd0fb1a2">a</a> ),
    1344. 

  1344. <a name="l02169"></a>02169                                                                 <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>( t3.<a class="code" href="class_triangle3.html#af5e19eae6719f5d123dce463e6234622">b</a> ),
    1345. 

  1345. <a name="l02170"></a>02170                                                                 <a class="code" href="class_matrix4.html#a4a7d8899ef9d08ffcd8432c991b07d04">transformHomogeneous</a>( t3.<a class="code" href="class_triangle3.html#affe2e5e9da1ee3da03206d14bd098229">c</a> ) );
    1346. 

  1346. <a name="l02171"></a>02171         }
    1347. 

  1347. <a name="l02172"></a>02172 
    1348. 

  1348. <a name="l02178"></a><a class="code" href="class_matrix4.html#af16912b87652d6252cfe01bdcd101409">02178</a>         <span class="keyword">inline</span> <a class="code" href="class_triangle2.html">Triangle2&lt;Real&gt;</a> <a class="code" href="class_matrix4.html#a98b5366e154598e9b4d18c18d368a928">transformHomogeneous2d</a>(<span class="keyword">const</span> <a class="code" href="class_triangle3.html">Triangle3&lt;Real&gt;</a> &amp;t3)<span class="keyword"> const</span>
    1349. 

  1349. <a name="l02179"></a>02179 <span class="keyword">        </span>{
    1350. 

  1350. <a name="l02180"></a>02180                 <span class="keywordflow">return</span> <a class="code" href="class_triangle2.html">Triangle2&lt;Real&gt;</a>( <a class="code" href="class_matrix4.html#a98b5366e154598e9b4d18c18d368a928">transformHomogeneous2d</a>( t3.<a class="code" href="class_triangle3.html#abebc5994b785ceee6c867912dd0fb1a2">a</a> ),
    1351. 

  1351. <a name="l02181"></a>02181                                                                 <a class="code" href="class_matrix4.html#a98b5366e154598e9b4d18c18d368a928">transformHomogeneous2d</a>( t3.<a class="code" href="class_triangle3.html#af5e19eae6719f5d123dce463e6234622">b</a> ),
    1352. 

  1352. <a name="l02182"></a>02182                                                                 <a class="code" href="class_matrix4.html#a98b5366e154598e9b4d18c18d368a928">transformHomogeneous2d</a>( t3.<a class="code" href="class_triangle3.html#affe2e5e9da1ee3da03206d14bd098229">c</a> ) );
    1353. 

  1353. <a name="l02183"></a>02183         }
    1354. 

  1354. <a name="l02184"></a>02184 
    1355. 

  1355. <a name="l02185"></a>02185 
    1356. 

  1356. <a name="l02189"></a><a class="code" href="class_matrix4.html#a8e72e6b34530efc84851a46ecca5dd1a">02189</a>         <span class="keyword">inline</span> Real <a class="code" href="class_matrix4.html#a8e72e6b34530efc84851a46ecca5dd1a">transformZ</a>(<span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;p)<span class="keyword"> const</span>
    1357. 

  1357. <a name="l02190"></a>02190 <span class="keyword">        </span>{
    1358. 

  1358. <a name="l02191"></a>02191                 <span class="keywordflow">return</span> p.<a class="code" href="class_point3.html#ac8955e61b82c40e2b7601813decc1ab4">x</a> * <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a> +     p.<a class="code" href="class_point3.html#a0279229843c1d7e3949003a8234189b6">y</a> * <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a> +    p.<a class="code" href="class_point3.html#a39a2d6679cdd785c360f552c7ae52d6e">z</a> * <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> +    <a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>;
    1359. 

  1359. <a name="l02192"></a>02192         }
    1360. 

  1360. <a name="l02193"></a>02193 
    1361. 

  1361. <a name="l02197"></a><a class="code" href="class_matrix4.html#a2b7e0a38e8f1ed9d595c8134fcf96f68">02197</a>         <span class="keyword">inline</span> Real <a class="code" href="class_matrix4.html#a2b7e0a38e8f1ed9d595c8134fcf96f68">transformZHomogeneous</a>(<span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;p)<span class="keyword"> const</span>
    1362. 

  1362. <a name="l02198"></a>02198 <span class="keyword">        </span>{
    1363. 

  1363. <a name="l02199"></a>02199                 Real z = p.<a class="code" href="class_point3.html#ac8955e61b82c40e2b7601813decc1ab4">x</a> * <a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>  +  p.<a class="code" href="class_point3.html#a0279229843c1d7e3949003a8234189b6">y</a> * <a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>  +  p.<a class="code" href="class_point3.html#a39a2d6679cdd785c360f552c7ae52d6e">z</a> * <a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>  +  <a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>;
    1364. 

  1364. <a name="l02200"></a>02200                 Real w = p.<a class="code" href="class_point3.html#ac8955e61b82c40e2b7601813decc1ab4">x</a> * <a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>  +  p.<a class="code" href="class_point3.html#a0279229843c1d7e3949003a8234189b6">y</a> * <a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>  +  p.<a class="code" href="class_point3.html#a39a2d6679cdd785c360f552c7ae52d6e">z</a> * iM32  +  <a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a>;
    1365. 

  1365. <a name="l02201"></a>02201                 <span class="keywordflow">return</span> z / w;
    1366. 

  1366. <a name="l02202"></a>02202         }
    1367. 

  1367. <a name="l02203"></a>02203 };
    1368. 

  1368. <a name="l02204"></a>02204 
    1369. 

  1369. <a name="l02205"></a>02205 
    1370. 

  1370. <a name="l02211"></a><a class="code" href="_matrix4_8h.html#a09c8c11772e5c491741303bd183c195a">02211</a> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">inline</span> <a class="code" href="class_point2.html">Point2&lt;Real&gt;</a> <a class="code" href="_matrix4_8h.html#a1297d29e0a3df70f644f376c83e9ebcd">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m, <span class="keyword">const</span> <a class="code" href="class_point2.html">Point2&lt;Real&gt;</a> &amp;p)
    1371. 

  1371. <a name="l02212"></a>02212 {
    1372. 

  1372. <a name="l02213"></a>02213         <span class="keywordflow">return</span> <a class="code" href="class_point2.html">Point2&lt;Real&gt;</a>(
    1373. 

  1373. <a name="l02214"></a>02214                 p.<a class="code" href="class_point2.html#ab813862c1eb59b34df82412a09d73b8b">x</a> * m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>  +  p.<a class="code" href="class_point2.html#af6eb4f44dcbf864ef2f92dcaa5203983">y</a> * m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>  +  m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>,
    1374. 

  1374. <a name="l02215"></a>02215                 p.<a class="code" href="class_point2.html#ab813862c1eb59b34df82412a09d73b8b">x</a> * m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>  +  p.<a class="code" href="class_point2.html#af6eb4f44dcbf864ef2f92dcaa5203983">y</a> * m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>  +  m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a> );
    1375. 

  1375. <a name="l02216"></a>02216 }
    1376. 

  1376. <a name="l02217"></a>02217 
    1377. 

  1377. <a name="l02223"></a><a class="code" href="_matrix4_8h.html#a146add9ba001273b99ce9a01270a5815">02223</a> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">inline</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> <a class="code" href="_matrix4_8h.html#a1297d29e0a3df70f644f376c83e9ebcd">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m, <span class="keyword">const</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> &amp;p)
    1378. 

  1378. <a name="l02224"></a>02224 {
    1379. 

  1379. <a name="l02225"></a>02225         <span class="keywordflow">return</span> <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a>(
    1380. 

  1380. <a name="l02226"></a>02226                 p.<a class="code" href="class_point3.html#ac8955e61b82c40e2b7601813decc1ab4">x</a> * m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>  +  p.<a class="code" href="class_point3.html#a0279229843c1d7e3949003a8234189b6">y</a> * m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>  +  p.<a class="code" href="class_point3.html#a39a2d6679cdd785c360f552c7ae52d6e">z</a> * m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>  +  m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>,
    1381. 

  1381. <a name="l02227"></a>02227                 p.<a class="code" href="class_point3.html#ac8955e61b82c40e2b7601813decc1ab4">x</a> * m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>  +  p.<a class="code" href="class_point3.html#a0279229843c1d7e3949003a8234189b6">y</a> * m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>  +  p.<a class="code" href="class_point3.html#a39a2d6679cdd785c360f552c7ae52d6e">z</a> * m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>  +  m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>,
    1382. 

  1382. <a name="l02228"></a>02228                 p.<a class="code" href="class_point3.html#ac8955e61b82c40e2b7601813decc1ab4">x</a> * m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>  +  p.<a class="code" href="class_point3.html#a0279229843c1d7e3949003a8234189b6">y</a> * m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>  +  p.<a class="code" href="class_point3.html#a39a2d6679cdd785c360f552c7ae52d6e">z</a> * m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>  +  m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a> );
    1383. 

  1383. <a name="l02229"></a>02229 }
    1384. 

  1384. <a name="l02230"></a>02230 
    1385. 

  1385. <a name="l02236"></a><a class="code" href="_matrix4_8h.html#a8e9c560620726a87a452e9fff1a896ad">02236</a> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">inline</span> <a class="code" href="class_point4.html">Point4&lt;Real&gt;</a> <a class="code" href="_matrix4_8h.html#a1297d29e0a3df70f644f376c83e9ebcd">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m, <span class="keyword">const</span> <a class="code" href="class_point4.html">Point4&lt;Real&gt;</a> &amp;p)
    1386. 

  1386. <a name="l02237"></a>02237 {
    1387. 

  1387. <a name="l02238"></a>02238         <span class="keywordflow">return</span> <a class="code" href="class_point4.html">Point4&lt;Real&gt;</a>(
    1388. 

  1388. <a name="l02239"></a>02239                 p.<a class="code" href="class_point4.html#a6b917ad64bfe34fcc9c96c8503383d79">x</a> * m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>  +  p.<a class="code" href="class_point4.html#a5c0adca4d7e2786cbc679339f169c231">y</a> * m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>  +  p.<a class="code" href="class_point4.html#accb4b217c94c4ba3b9412b72fedc073d">z</a> * m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>  +  p.<a class="code" href="class_point4.html#a7c6305abba96d66410806f6d75a38148">w</a> * m.<a class="code" href="class_matrix4.html#a67e3eb6e2754a9ef6619153b87416f98">iM03</a>,
    1389. 

  1389. <a name="l02240"></a>02240                 p.<a class="code" href="class_point4.html#a6b917ad64bfe34fcc9c96c8503383d79">x</a> * m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>  +  p.<a class="code" href="class_point4.html#a5c0adca4d7e2786cbc679339f169c231">y</a> * m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>  +  p.<a class="code" href="class_point4.html#accb4b217c94c4ba3b9412b72fedc073d">z</a> * m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>  +  p.<a class="code" href="class_point4.html#a7c6305abba96d66410806f6d75a38148">w</a> * m.<a class="code" href="class_matrix4.html#a5bd1b74ba207b157a99d09af2b5ccef5">iM13</a>,
    1390. 

  1390. <a name="l02241"></a>02241                 p.<a class="code" href="class_point4.html#a6b917ad64bfe34fcc9c96c8503383d79">x</a> * m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>  +  p.<a class="code" href="class_point4.html#a5c0adca4d7e2786cbc679339f169c231">y</a> * m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>  +  p.<a class="code" href="class_point4.html#accb4b217c94c4ba3b9412b72fedc073d">z</a> * m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a>  +  p.<a class="code" href="class_point4.html#a7c6305abba96d66410806f6d75a38148">w</a> * m.<a class="code" href="class_matrix4.html#a39bc3d9a332e3d69375ec53c10553c52">iM23</a>,
    1391. 

  1391. <a name="l02242"></a>02242                 p.<a class="code" href="class_point4.html#a6b917ad64bfe34fcc9c96c8503383d79">x</a> * m.<a class="code" href="class_matrix4.html#a66fefd8bf8ee98d0dbc02ea1eb59f65a">iM30</a>  +  p.<a class="code" href="class_point4.html#a5c0adca4d7e2786cbc679339f169c231">y</a> * m.<a class="code" href="class_matrix4.html#a4df8a6008c153fe28f6e161b36719481">iM31</a>  +  p.<a class="code" href="class_point4.html#accb4b217c94c4ba3b9412b72fedc073d">z</a> * m.<a class="code" href="class_matrix4.html#a14be19ff0ceef2ed5920b67dd8e6f255">iM32</a>  +  p.<a class="code" href="class_point4.html#a7c6305abba96d66410806f6d75a38148">w</a> * m.<a class="code" href="class_matrix4.html#a093715aa61dc2c4b482aeb73b3839bfa">iM33</a> );
    1392. 

  1392. <a name="l02243"></a>02243 }
    1393. 

  1393. <a name="l02244"></a>02244 
    1394. 

  1394. <a name="l02252"></a><a class="code" href="_matrix4_8h.html#a4ce1e671fdab5fa7e1a84ac7ca6bda21">02252</a> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">inline</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> <a class="code" href="_matrix4_8h.html#a1297d29e0a3df70f644f376c83e9ebcd">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m, <span class="keyword">const</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a> &amp;v)
    1395. 

  1395. <a name="l02253"></a>02253 {
    1396. 

  1396. <a name="l02254"></a>02254         <span class="keywordflow">return</span> <a class="code" href="class_vector2.html">Vector2&lt;Real&gt;</a>(
    1397. 

  1397. <a name="l02255"></a>02255                 v.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a> * m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>  +  v.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a> * m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>,
    1398. 

  1398. <a name="l02256"></a>02256                 v.<a class="code" href="class_vector2.html#a88ff786e41deb0417a4a5395e3faa2c5">x</a> * m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>  +  v.<a class="code" href="class_vector2.html#ae75ee05f767de42f759a5bf2578d2ef6">y</a> * m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a> );
    1399. 

  1399. <a name="l02257"></a>02257 }
    1400. 

  1400. <a name="l02258"></a>02258 
    1401. 

  1401. <a name="l02266"></a><a class="code" href="_matrix4_8h.html#a59a0668267cff9ee9d3a807e1020253a">02266</a> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">inline</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> <a class="code" href="_matrix4_8h.html#a1297d29e0a3df70f644f376c83e9ebcd">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m, <span class="keyword">const</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> &amp;v)
    1402. 

  1402. <a name="l02267"></a>02267 {
    1403. 

  1403. <a name="l02268"></a>02268         <span class="keywordflow">return</span> <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a>(
    1404. 

  1404. <a name="l02269"></a>02269                 v.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a> * m.<a class="code" href="class_matrix4.html#a76d756154741216ac2f73fb9e9f89006">iM00</a>  +  v.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a> * m.<a class="code" href="class_matrix4.html#a03cea929e9aeb7f8472ecd057f883393">iM01</a>  +  v.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a> * m.<a class="code" href="class_matrix4.html#a258ee1d48fe0d0124d8234834df25a38">iM02</a>,
    1405. 

  1405. <a name="l02270"></a>02270                 v.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a> * m.<a class="code" href="class_matrix4.html#aed0bbe3e9e436ceeaeebbbd93c697a63">iM10</a>  +  v.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a> * m.<a class="code" href="class_matrix4.html#a1c9b84f47f6ed1bb795c9a25e1ebab40">iM11</a>  +  v.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a> * m.<a class="code" href="class_matrix4.html#a8afc47330561af81f1edca7f1aab5362">iM12</a>,
    1406. 

  1406. <a name="l02271"></a>02271                 v.<a class="code" href="class_vector3.html#a7a092c6418ef803c8aab7a79eec9d13b">x</a> * m.<a class="code" href="class_matrix4.html#a93acc31d5e459f2928ff2135274bcd30">iM20</a>  +  v.<a class="code" href="class_vector3.html#acb7d53b283a9ef20c0d21efd72749c7a">y</a> * m.<a class="code" href="class_matrix4.html#afdb999b0012aa5f02104f77342a4e113">iM21</a>  +  v.<a class="code" href="class_vector3.html#afe8f021bf6c0a27618a740bce2eec9c2">z</a> * m.<a class="code" href="class_matrix4.html#a20639ce0e5de5f6ddb0b1efed8218c23">iM22</a> );
    1407. 

  1407. <a name="l02272"></a>02272 }
    1408. 

  1408. <a name="l02273"></a>02273 
    1409. 

  1409. <a name="l02279"></a><a class="code" href="_matrix4_8h.html#a9bf58181735e0c0915099f55f9c45b24">02279</a> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">inline</span> <a class="code" href="class_plane.html">Plane&lt;Real&gt;</a> <a class="code" href="_matrix4_8h.html#a1297d29e0a3df70f644f376c83e9ebcd">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m, <span class="keyword">const</span> <a class="code" href="class_plane.html">Plane&lt;Real&gt;</a> &amp;p)
    1410. 

  1410. <a name="l02280"></a>02280 {
    1411. 

  1411. <a name="l02281"></a>02281         <a class="code" href="class_point3.html">Point3&lt;Real&gt;</a> a = m  *  p.<a class="code" href="class_plane.html#a49297e15db1ef3fb8fb587783692f08a">getPointOnPlane</a>();
    1412. 

  1412. <a name="l02282"></a>02282         <a class="code" href="class_vector3.html">Vector3&lt;Real&gt;</a> n = ( m * p.<a class="code" href="class_plane.html#aa6ffe66f8d27eedb299a1904d9566403">n</a> ).getNormalised();
    1413. 

  1413. <a name="l02283"></a>02283         <span class="keywordflow">return</span> <a class="code" href="class_plane.html">Plane&lt;Real&gt;</a>( n, a );
    1414. 

  1414. <a name="l02284"></a>02284 }
    1415. 

  1415. <a name="l02285"></a>02285 
    1416. 

  1416. <a name="l02291"></a><a class="code" href="_matrix4_8h.html#a76d999310915bb6c72fff61de90eccd2">02291</a> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">inline</span> <a class="code" href="class_segment3.html">Segment3&lt;Real&gt;</a> <a class="code" href="_matrix4_8h.html#a1297d29e0a3df70f644f376c83e9ebcd">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m, <span class="keyword">const</span> <a class="code" href="class_segment3.html">Segment3&lt;Real&gt;</a> &amp;seg)
    1417. 

  1417. <a name="l02292"></a>02292 {
    1418. 

  1418. <a name="l02293"></a>02293         <span class="keywordflow">return</span> <a class="code" href="class_segment3.html">Segment3&lt;Real&gt;</a>( m * seg.<a class="code" href="class_segment3.html#ad2e187b442c71beaf976b9b99046d261">a</a>, m * seg.<a class="code" href="class_segment3.html#a516b78fd50dcbc5c2272c882db99b891">b</a> );
    1419. 

  1419. <a name="l02294"></a>02294 }
    1420. 

  1420. <a name="l02295"></a>02295 
    1421. 

  1421. <a name="l02301"></a><a class="code" href="_matrix4_8h.html#a8f1ff004614699f206fbfddfab6af4a0">02301</a> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Real&gt; <span class="keyword">inline</span> <a class="code" href="class_triangle3.html">Triangle3&lt;Real&gt;</a> <a class="code" href="_matrix4_8h.html#a1297d29e0a3df70f644f376c83e9ebcd">operator*</a>(<span class="keyword">const</span> <a class="code" href="class_matrix4.html">Matrix4&lt;Real&gt;</a> &amp;m, <span class="keyword">const</span> <a class="code" href="class_triangle3.html">Triangle3&lt;Real&gt;</a> &amp;t)
    1422. 

  1422. <a name="l02302"></a>02302 {
    1423. 

  1423. <a name="l02303"></a>02303         <span class="keywordflow">return</span> <a class="code" href="class_triangle3.html">Triangle3&lt;Real&gt;</a>( m * t.<a class="code" href="class_triangle3.html#abebc5994b785ceee6c867912dd0fb1a2">a</a>, m * t.<a class="code" href="class_triangle3.html#af5e19eae6719f5d123dce463e6234622">b</a>, m * t.<a class="code" href="class_triangle3.html#affe2e5e9da1ee3da03206d14bd098229">c</a> );
    1424. 

  1424. <a name="l02304"></a>02304 }
    1425. 

  1425. <a name="l02305"></a>02305 
    1426. 

  1426. <a name="l02306"></a>02306 
    1427. 

  1427. <a name="l02307"></a>02307 
    1428. 

  1428. <a name="l02308"></a><a class="code" href="_matrix4_8h.html#a5b7721ab7216c91a40538beaa9e6ee1f">02308</a> <span class="keyword">typedef</span> <a class="code" href="class_matrix4.html">Matrix4&lt;float&gt;</a> <a class="code" href="_matrix4_8h.html#a5b7721ab7216c91a40538beaa9e6ee1f">Matrix4f</a>;
    1429. 

  1429. <a name="l02309"></a><a class="code" href="_matrix4_8h.html#afe7ea008ee9e656fb34621264a42e04a">02309</a> <span class="keyword">typedef</span> <a class="code" href="class_matrix4.html">Matrix4&lt;double&gt;</a> <a class="code" href="_matrix4_8h.html#afe7ea008ee9e656fb34621264a42e04a">Matrix4d</a>;
    1430. 

  1430. <a name="l02310"></a>02310 
    1431. 

  1431. <a name="l02311"></a>02311 
    1432. 

  1432. <a name="l02312"></a>02312 <span class="preprocessor">#endif</span>
    1433. 

  1433. </pre></div></div>
    1434. 

  1434. </div>
    1435. 

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