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    24. 

  24. <h1>vecx.hpp</h1><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
    25. 

  25. <a name="l00002"></a>00002 <span class="comment">// OpenGL Mathematics Copyright (c) 2005 - 2009 G-Truc Creation (www.g-truc.net)</span>
    26. 

  26. <a name="l00004"></a>00004 <span class="comment"></span><span class="comment">// Created : 2007-02-21</span>
    27. 

  27. <a name="l00005"></a>00005 <span class="comment">// Updated : 2007-02-21</span>
    28. 

  28. <a name="l00006"></a>00006 <span class="comment">// Licence : This source is under MIT License</span>
    29. 

  29. <a name="l00007"></a>00007 <span class="comment">// File    : glm/gtx/vecx.h</span>
    30. 

  30. <a name="l00009"></a>00009 <span class="comment"></span><span class="comment">// Dependency:</span>
    31. 

  31. <a name="l00010"></a>00010 <span class="comment">// - GLM core</span>
    32. 

  32. <a name="l00012"></a>00012 <span class="comment"></span>
    33. 

  33. <a name="l00013"></a>00013 <span class="preprocessor">#ifndef glm_gtx_vecx</span>
    34. 

  34. <a name="l00014"></a>00014 <span class="preprocessor"></span><span class="preprocessor">#define glm_gtx_vecx</span>
    35. 

  35. <a name="l00015"></a>00015 <span class="preprocessor"></span>
    36. 

  36. <a name="l00016"></a>00016 <span class="keyword">namespace </span>glm{
    37. 

  37. <a name="l00017"></a>00017 <span class="keyword">namespace </span>detail{
    38. 

  38. <a name="l00018"></a>00018 
    39. 

  39. <a name="l00019"></a>00019         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N&gt;
    40. 

  40. <a name="l00020"></a>00020     <span class="keyword">class </span>_bvecxGTX
    41. 

  41. <a name="l00021"></a>00021     {
    42. 

  42. <a name="l00022"></a>00022         <span class="keyword">private</span>:
    43. 

  43. <a name="l00023"></a>00023                 <span class="keywordtype">bool</span> data[N];
    44. 

  44. <a name="l00024"></a>00024 
    45. 

  45. <a name="l00025"></a>00025         <span class="keyword">public</span>:
    46. 

  46. <a name="l00026"></a>00026                 <span class="keyword">typedef</span> <span class="keywordtype">bool</span> value_type;
    47. 

  47. <a name="l00027"></a>00027                 <span class="keyword">typedef</span> <span class="keywordtype">int</span> size_type;
    48. 

  48. <a name="l00028"></a>00028                 <span class="keyword">static</span> <span class="keyword">const</span> size_type value_size;
    49. 

  49. <a name="l00029"></a>00029                 <span class="keyword">static</span> <span class="keyword">const</span> size_type col_size;
    50. 

  50. <a name="l00030"></a>00030                 <span class="keyword">static</span> <span class="keyword">const</span> size_type row_size;
    51. 

  51. <a name="l00031"></a>00031 
    52. 

  52. <a name="l00032"></a>00032         <span class="comment">// Common constructors</span>
    53. 

  53. <a name="l00033"></a>00033             _bvecxGTX();
    54. 

  54. <a name="l00034"></a>00034         _bvecxGTX(<span class="keyword">const</span> _bvecxGTX&amp; v);
    55. 

  55. <a name="l00035"></a>00035 
    56. 

  56. <a name="l00036"></a>00036                 <span class="comment">// Accesses</span>
    57. 

  57. <a name="l00037"></a>00037         <span class="keywordtype">bool</span>&amp; operator[](<span class="keywordtype">int</span> i);
    58. 

  58. <a name="l00038"></a>00038         <span class="keywordtype">bool</span> operator[](<span class="keywordtype">int</span> i) <span class="keyword">const</span>;
    59. 

  59. <a name="l00039"></a>00039         operator bool*();
    60. 

  60. <a name="l00040"></a>00040             operator const bool*() <span class="keyword">const</span>;
    61. 

  61. <a name="l00041"></a>00041 
    62. 

  62. <a name="l00042"></a>00042         <span class="comment">// Bool constructors</span>
    63. 

  63. <a name="l00043"></a>00043         <span class="keyword">explicit</span> _bvecxGTX(<span class="keyword">const</span> <span class="keywordtype">bool</span> a);
    64. 

  64. <a name="l00044"></a>00044 
    65. 

  65. <a name="l00045"></a>00045         <span class="comment">// Operators</span>
    66. 

  66. <a name="l00046"></a>00046         _bvecxGTX&lt;N&gt;&amp; operator=(<span class="keyword">const</span> _bvecxGTX&lt;N&gt;&amp; v);
    67. 

  67. <a name="l00047"></a>00047             _bvecxGTX&lt;N&gt; operator! () <span class="keyword">const</span>;
    68. 

  68. <a name="l00048"></a>00048     };
    69. 

  69. <a name="l00049"></a>00049 
    70. 

  70. <a name="l00050"></a>00050     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T = <span class="keywordtype">float</span>&gt;
    71. 

  71. <a name="l00051"></a>00051     <span class="keyword">class </span>_xvecxGTX
    72. 

  72. <a name="l00052"></a>00052     {
    73. 

  73. <a name="l00053"></a>00053         <span class="keyword">private</span>:
    74. 

  74. <a name="l00054"></a>00054                 T data[N];
    75. 

  75. <a name="l00055"></a>00055 
    76. 

  76. <a name="l00056"></a>00056         <span class="keyword">public</span>:
    77. 

  77. <a name="l00057"></a>00057                 <span class="keyword">typedef</span> T value_type;
    78. 

  78. <a name="l00058"></a>00058                 <span class="keyword">typedef</span> <span class="keywordtype">int</span> size_type;
    79. 

  79. <a name="l00059"></a>00059                 <span class="keyword">static</span> <span class="keyword">const</span> size_type value_size;
    80. 

  80. <a name="l00060"></a>00060 
    81. 

  81. <a name="l00061"></a>00061         <span class="comment">// Common constructors</span>
    82. 

  82. <a name="l00062"></a>00062             _xvecxGTX();
    83. 

  83. <a name="l00063"></a>00063         _xvecxGTX(<span class="keyword">const</span> _xvecxGTX&lt;N, T&gt;&amp; v);
    84. 

  84. <a name="l00064"></a>00064 
    85. 

  85. <a name="l00065"></a>00065                 <span class="comment">// Accesses</span>
    86. 

  86. <a name="l00066"></a>00066         T&amp; operator[](<span class="keywordtype">int</span> i);
    87. 

  87. <a name="l00067"></a>00067         T operator[](<span class="keywordtype">int</span> i) <span class="keyword">const</span>;
    88. 

  88. <a name="l00068"></a>00068         operator T*();
    89. 

  89. <a name="l00069"></a>00069             operator const T*() <span class="keyword">const</span>;
    90. 

  90. <a name="l00070"></a>00070 
    91. 

  91. <a name="l00071"></a>00071         <span class="comment">// T constructors</span>
    92. 

  92. <a name="l00072"></a>00072         <span class="keyword">explicit</span> _xvecxGTX(<span class="keyword">const</span> T x);
    93. 

  93. <a name="l00073"></a>00073 
    94. 

  94. <a name="l00074"></a>00074         <span class="comment">// Unary updatable operators</span>
    95. 

  95. <a name="l00075"></a>00075         _xvecxGTX&lt;N, T&gt;&amp; operator= (<span class="keyword">const</span> _xvecxGTX&lt;N, T&gt;&amp; v);
    96. 

  96. <a name="l00076"></a>00076             _xvecxGTX&lt;N, T&gt;&amp; operator+=(<span class="keyword">const</span> T s);
    97. 

  97. <a name="l00077"></a>00077             _xvecxGTX&lt;N, T&gt;&amp; operator+=(<span class="keyword">const</span> _xvecxGTX&lt;N, T&gt;&amp; v);
    98. 

  98. <a name="l00078"></a>00078             _xvecxGTX&lt;N, T&gt;&amp; operator-=(<span class="keyword">const</span> T s);
    99. 

  99. <a name="l00079"></a>00079             _xvecxGTX&lt;N, T&gt;&amp; operator-=(<span class="keyword">const</span> _xvecxGTX&lt;N, T&gt;&amp; v);
    100. 

  100. <a name="l00080"></a>00080             _xvecxGTX&lt;N, T&gt;&amp; operator*=(<span class="keyword">const</span> T s);
    101. 

  101. <a name="l00081"></a>00081             _xvecxGTX&lt;N, T&gt;&amp; operator*=(<span class="keyword">const</span> _xvecxGTX&lt;N, T&gt;&amp; v);
    102. 

  102. <a name="l00082"></a>00082             _xvecxGTX&lt;N, T&gt;&amp; operator/=(<span class="keyword">const</span> T s);
    103. 

  103. <a name="l00083"></a>00083             _xvecxGTX&lt;N, T&gt;&amp; operator/=(<span class="keyword">const</span> _xvecxGTX&lt;N, T&gt;&amp; v);
    104. 

  104. <a name="l00084"></a>00084             _xvecxGTX&lt;N, T&gt;&amp; operator++();
    105. 

  105. <a name="l00085"></a>00085         _xvecxGTX&lt;N, T&gt;&amp; operator--();
    106. 

  106. <a name="l00086"></a>00086     };
    107. 

  107. <a name="l00087"></a>00087 
    108. 

  108. <a name="l00088"></a>00088     <span class="comment">// Binary operators</span>
    109. 

  109. <a name="l00089"></a>00089     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    110. 

  110. <a name="l00090"></a>00090         detail::_xvecxGTX&lt;N, T&gt; operator+ (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v, <span class="keyword">const</span> T s);
    111. 

  111. <a name="l00091"></a>00091 
    112. 

  112. <a name="l00092"></a>00092     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    113. 

  113. <a name="l00093"></a>00093     detail::_xvecxGTX&lt;N, T&gt; operator+ (<span class="keyword">const</span> T s, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v);
    114. 

  114. <a name="l00094"></a>00094 
    115. 

  115. <a name="l00095"></a>00095     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    116. 

  116. <a name="l00096"></a>00096     detail::_xvecxGTX&lt;N, T&gt; operator+ (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v1, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v2);
    117. 

  117. <a name="l00097"></a>00097     
    118. 

  118. <a name="l00098"></a>00098     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    119. 

  119. <a name="l00099"></a>00099         detail::_xvecxGTX&lt;N, T&gt; operator- (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v, <span class="keyword">const</span> T s);
    120. 

  120. <a name="l00100"></a>00100 
    121. 

  121. <a name="l00101"></a>00101     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    122. 

  122. <a name="l00102"></a>00102     detail::_xvecxGTX&lt;N, T&gt; operator- (<span class="keyword">const</span> T s, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v);
    123. 

  123. <a name="l00103"></a>00103 
    124. 

  124. <a name="l00104"></a>00104     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    125. 

  125. <a name="l00105"></a>00105     detail::_xvecxGTX&lt;N, T&gt; operator- (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v1, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v2);
    126. 

  126. <a name="l00106"></a>00106 
    127. 

  127. <a name="l00107"></a>00107     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    128. 

  128. <a name="l00108"></a>00108     detail::_xvecxGTX&lt;N, T&gt; operator* (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v, <span class="keyword">const</span> T s);
    129. 

  129. <a name="l00109"></a>00109 
    130. 

  130. <a name="l00110"></a>00110     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    131. 

  131. <a name="l00111"></a>00111     detail::_xvecxGTX&lt;N, T&gt; operator* (<span class="keyword">const</span> T s, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v);
    132. 

  132. <a name="l00112"></a>00112 
    133. 

  133. <a name="l00113"></a>00113     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    134. 

  134. <a name="l00114"></a>00114     detail::_xvecxGTX&lt;N, T&gt; operator* (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v1, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v2);
    135. 

  135. <a name="l00115"></a>00115 
    136. 

  136. <a name="l00116"></a>00116     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    137. 

  137. <a name="l00117"></a>00117     detail::_xvecxGTX&lt;N, T&gt; operator/ (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v, <span class="keyword">const</span> T s);
    138. 

  138. <a name="l00118"></a>00118 
    139. 

  139. <a name="l00119"></a>00119     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    140. 

  140. <a name="l00120"></a>00120     detail::_xvecxGTX&lt;N, T&gt; operator/ (<span class="keyword">const</span> T s, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v);
    141. 

  141. <a name="l00121"></a>00121 
    142. 

  142. <a name="l00122"></a>00122     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    143. 

  143. <a name="l00123"></a>00123     detail::_xvecxGTX&lt;N, T&gt; operator/ (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v1, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v2);
    144. 

  144. <a name="l00124"></a>00124 
    145. 

  145. <a name="l00125"></a>00125     <span class="comment">// Unary constant operators</span>
    146. 

  146. <a name="l00126"></a>00126     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    147. 

  147. <a name="l00127"></a>00127     <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt; operator- (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v);
    148. 

  148. <a name="l00128"></a>00128 
    149. 

  149. <a name="l00129"></a>00129     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    150. 

  150. <a name="l00130"></a>00130     <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt; operator-- (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v, <span class="keywordtype">int</span>);
    151. 

  151. <a name="l00131"></a>00131 
    152. 

  152. <a name="l00132"></a>00132     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt;
    153. 

  153. <a name="l00133"></a>00133     <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt; operator++ (<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; v, <span class="keywordtype">int</span>);
    154. 

  154. <a name="l00134"></a>00134 
    155. 

  155. <a name="l00135"></a>00135 }<span class="comment">//namespace detail</span>
    156. 

  156. <a name="l00136"></a>00136 
    157. 

  157. <a name="l00137"></a>00137         <span class="keyword">namespace </span>gtx
    158. 

  158. <a name="l00138"></a>00138     {
    159. 

  159. <a name="l00140"></a><a class="code" href="a00215.html">00140</a>         <span class="keyword">namespace </span>vecx
    160. 

  160. <a name="l00141"></a>00141         {
    161. 

  161. <a name="l00142"></a>00142                         <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> N&gt;
    162. 

  162. <a name="l00143"></a>00143                         <span class="keyword">struct </span>vec
    163. 

  163. <a name="l00144"></a>00144                         {
    164. 

  164. <a name="l00145"></a>00145                                 <span class="keyword">typedef</span> detail::_xvecxGTX&lt;N, T&gt; type;
    165. 

  165. <a name="l00146"></a>00146                         };
    166. 

  166. <a name="l00147"></a>00147 
    167. 

  167. <a name="l00148"></a>00148                         <span class="comment">// Trigonometric Functions</span>
    168. 

  168. <a name="l00149"></a>00149                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; radiansGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; <a class="code" href="a00132.html#a2dc092f93e998e01c1cfdaef817ca926" title="Converts radians to degrees and returns the result.">degrees</a>); <span class="comment">//&lt; \brief Converts degrees to radians and returns the result. (From GLM_GTX_vecx extension)</span>
    169. 

  169. <a name="l00150"></a>00150                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; degreesGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; <a class="code" href="a00132.html#a40251a4a07049e7fdcbf155c3cc6d32a" title="Converts degrees to radians and returns the result.">radians</a>); <span class="comment">//&lt; \brief Converts radians to degrees and returns the result. (From GLM_GTX_vecx extension)</span>
    170. 

  170. <a name="l00151"></a>00151                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; sinGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; angle);              <span class="comment">//&lt; \brief The standard trigonometric sine function. The values returned by this function will range from [-1, 1]. (From GLM_GTX_vecx extension)</span>
    171. 

  171. <a name="l00152"></a>00152                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; cosGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; angle);              <span class="comment">//&lt; \brief The standard trigonometric cosine function. The values returned by this function will range from [-1, 1]. (From GLM_GTX_vecx extension)</span>
    172. 

  172. <a name="l00153"></a>00153                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; tanGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; angle);              <span class="comment">//&lt; \brief The standard trigonometric tangent function. (From GLM_GTX_vecx extension)</span>
    173. 

  173. <a name="l00154"></a>00154                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; asinGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);                 <span class="comment">//&lt; \brief Arc sine. Returns an angle whose sine is x. The range of values returned by this function is [-PI/2, PI/2]. Results are undefined if |x| &gt; 1. (From GLM_GTX_vecx extension)</span>
    174. 

  174. <a name="l00155"></a>00155                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; acosGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);                 <span class="comment">//&lt; \brief Arc cosine. Returns an angle whose sine is x. The range of values returned by this function is [0, PI]. Results are undefined if |x| &gt; 1. (From GLM_GTX_vecx extension)</span>
    175. 

  175. <a name="l00156"></a>00156                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; atanGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);       <span class="comment">//&lt; \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_vecx extension)</span>
    176. 

  176. <a name="l00157"></a>00157                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; atanGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y_over_x);                                                          <span class="comment">//&lt; \brief Arc tangent. Returns an angle whose tangent is y_over_x. The range of values returned by this function is [-PI/2, PI/2]. (From GLM_GTX_vecx extension)</span>
    177. 

  177. <a name="l00158"></a>00158 
    178. 

  178. <a name="l00159"></a>00159                         <span class="comment">// Exponential Functions</span>
    179. 

  179. <a name="l00160"></a>00160                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; powGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y); <span class="comment">//&lt; \brief Returns x raised to the y power. (From GLM_GTX_vecx extension)</span>
    180. 

  180. <a name="l00161"></a>00161                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; expGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);  <span class="comment">//&lt; \brief Returns the natural exponentiation of x, i.e., e^x. (From GLM_GTX_vecx extension)</span>
    181. 

  181. <a name="l00162"></a>00162                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; logGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);  <span class="comment">//&lt; \brief Returns the natural logarithm of x, i.e., returns the value y which satisfies the equation x = e^y. Results are undefined if x &lt;= 0. (From GLM_GTX_vecx extension)</span>
    182. 

  182. <a name="l00163"></a>00163                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; exp2GTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x); <span class="comment">//&lt; \brief Returns 2 raised to the x power. (From GLM_GTX_vecx extension)</span>
    183. 

  183. <a name="l00164"></a>00164                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; log2GTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x); <span class="comment">//&lt; \brief Returns the base 2 log of x, i.e., returns the value y, which satisfies the equation x = 2 ^ y. (From GLM_GTX_vecx extension)</span>
    184. 

  184. <a name="l00165"></a>00165                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; sqrtGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x); <span class="comment">//&lt; \brief Returns the positive square root of x. (From GLM_GTX_vecx extension)</span>
    185. 

  185. <a name="l00166"></a>00166                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; inversesqrtGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);  <span class="comment">//&lt; \brief Returns the reciprocal of the positive square root of x. (From GLM_GTX_vecx extension)</span>
    186. 

  186. <a name="l00167"></a>00167 
    187. 

  187. <a name="l00168"></a>00168                         <span class="comment">// Common Functions</span>
    188. 

  188. <a name="l00169"></a>00169                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; absGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);          <span class="comment">//&lt; \brief Returns x if x &gt;= 0; otherwise, it returns -x. (From GLM_GTX_vecx extension)</span>
    189. 

  189. <a name="l00170"></a>00170                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; floorGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);                <span class="comment">//&lt; \brief Returns a value equal to the nearest integer that is less then or equal to x. (From GLM_GTX_vecx extension)</span>
    190. 

  190. <a name="l00171"></a>00171                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; ceilGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);         <span class="comment">//&lt; \brief Returns a value equal to the nearest integer that is greater than or equal to x. (From GLM_GTX_vecx extension)</span>
    191. 

  191. <a name="l00172"></a>00172                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; fractGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);                <span class="comment">//&lt; \brief Return x - floor(x). (From GLM_GTX_vecx extension)</span>
    192. 

  192. <a name="l00173"></a>00173                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; modGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, T y);                                                                     <span class="comment">//&lt; \brief Modulus. Returns x - y * floor(x / y) for each component in x using the floating point value y. (From GLM_GTX_vecx extension)</span>
    193. 

  193. <a name="l00174"></a>00174                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; modGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);                <span class="comment">//&lt; \brief Modulus. Returns x - y * floor(x / y) for each component in x using the corresponding component of y. (From GLM_GTX_vecx extension)</span>
    194. 

  194. <a name="l00175"></a>00175                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; minGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, T y);                                                                     <span class="comment">//&lt; \brief Returns y if y &lt; x; otherwise, it returns x. (From GLM_GTX_vecx extension)</span>
    195. 

  195. <a name="l00176"></a>00176                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; minGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);                <span class="comment">//&lt; \brief Returns minimum of each component of x compared with the floating-point value y. (From GLM_GTX_vecx extension)</span>
    196. 

  196. <a name="l00177"></a>00177                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; maxGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, T y);                                                                     <span class="comment">//&lt; \brief Returns y if x &lt; y; otherwise, it returns x. (From GLM_GTX_vecx extension)</span>
    197. 

  197. <a name="l00178"></a>00178                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; maxGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);                <span class="comment">//&lt; \brief Returns maximum of each component of x compared with the floating-point value y. (From GLM_GTX_vecx extension)</span>
    198. 

  198. <a name="l00179"></a>00179                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; clampGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, T minVal, T maxVal);                                                                                                                            <span class="comment">//&lt; \brief Returns min(max(x, minVal), maxVal) for each component in x using the floating-point values minVal and maxVal. (From GLM_GTX_vecx extension)</span>
    199. 

  199. <a name="l00180"></a>00180                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; clampGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; minVal, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; maxVal);  <span class="comment">//&lt; \brief Returns the component-wise result of min(max(x, minVal), maxVal). (From GLM_GTX_vecx extension)</span>
    200. 

  200. <a name="l00181"></a>00181                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; stepGTX(T edge, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);                                                                                                                                                 <span class="comment">//&lt; \brief Returns 0.0 if x &lt;= edge; otherwise, it returns 1.0. (From GLM_GTX_vecx extension)</span>
    201. 

  201. <a name="l00182"></a>00182                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; stepGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; edge, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);                                                                                            <span class="comment">//&lt; \brief Returns 0.0 if x &lt;= edge; otherwise, it returns 1.0. (From GLM_GTX_vecx extension)</span>
    202. 

  202. <a name="l00183"></a>00183                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; smoothstepGTX(T edge0, T edge1, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);                                                                                                                 <span class="comment">//&lt; \brief Returns 0.0 if x &lt;= edge0 and 1.0 if x &gt;= edge1 and performs smooth Hermite interpolation between 0 and 1 when edge0 &lt; x, edge1. (From GLM_GTX_vecx extension)</span>
    203. 

  203. <a name="l00184"></a>00184                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; smoothstepGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; edge0, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; edge1, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);<span class="comment">//&lt; \brief Returns 0.0 if x &lt;= edge0 and 1.0 if x &gt;= edge1 and performs smooth Hermite interpolation between 0 and 1 when edge0 &lt; x, edge1. (From GLM_GTX_vecx extension)</span>
    204. 

  204. <a name="l00185"></a>00185 
    205. 

  205. <a name="l00186"></a>00186                         <span class="comment">// Geometric Functions</span>
    206. 

  206. <a name="l00187"></a>00187                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; T lengthGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);                                                                                     <span class="comment">//&lt; \brief Returns the length of x, i.e., sqrt(x * x). (From GLM_GTX_vecx extension)</span>
    207. 

  207. <a name="l00188"></a>00188                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; T distanceGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; p0, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; p1);       <span class="comment">//&lt; \brief Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). (From GLM_GTX_vecx extension)</span>
    208. 

  208. <a name="l00189"></a>00189                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; T dotGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);                      <span class="comment">//&lt; \brief Returns the dot product of x and y, i.e., result = x[0] * y[0] + x[1] * y[1]. (From GLM_GTX_vecx extension)</span>
    209. 

  209. <a name="l00190"></a>00190                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; normalizeGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x);                                    <span class="comment">//&lt; \brief Returns a vector in the same direction as x but with length of 1. (From GLM_GTX_vecx extension)</span>
    210. 

  210. <a name="l00191"></a>00191                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; faceforwardGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; Norm, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; I, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; Nref);                <span class="comment">//&lt; \brief If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N. (From GLM_GTX_vecx extension)</span>
    211. 

  211. <a name="l00192"></a>00192                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; reflectGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; I, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; N);                                                                                                    <span class="comment">//&lt; \brief For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. (From GLM_GTX_vecx extension)</span>
    212. 

  212. <a name="l00193"></a>00193                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_xvecxGTX&lt;N, T&gt; refractGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; I, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; N, T eta);                                                                                     <span class="comment">//&lt; \brief For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. (From GLM_GTX_vecx extension)</span>
    213. 

  213. <a name="l00194"></a>00194 
    214. 

  214. <a name="l00195"></a>00195                         <span class="comment">// Vector Relational Functions</span>
    215. 

  215. <a name="l00196"></a>00196                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_bvecxGTX&lt;N&gt; lessThanGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);                      <span class="comment">//&lt; \brief Returns the component-wise compare of x &lt; y. (From GLM_GTX_vecx extension)  </span>
    216. 

  216. <a name="l00197"></a>00197                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_bvecxGTX&lt;N&gt; lessThanEqualGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);         <span class="comment">//&lt; \brief Returns the component-wise compare of x &lt;= y. (From GLM_GTX_vecx extension)  </span>
    217. 

  217. <a name="l00198"></a>00198                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_bvecxGTX&lt;N&gt; greaterThanGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);           <span class="comment">//&lt; \brief Returns the component-wise compare of x &gt; y. (From GLM_GTX_vecx extension)  </span>
    218. 

  218. <a name="l00199"></a>00199                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_bvecxGTX&lt;N&gt; greaterThanEqualGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);      <span class="comment">//&lt; \brief Returns the component-wise compare of x &gt;= y. (From GLM_GTX_vecx extension)</span>
    219. 

  219. <a name="l00200"></a>00200                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N&gt; detail::_bvecxGTX&lt;N&gt; equalGTX(<span class="keyword">const</span> detail::_bvecxGTX&lt;N&gt;&amp; x, <span class="keyword">const</span> detail::_bvecxGTX&lt;N&gt;&amp; y);                                                           <span class="comment">//&lt; \brief Returns the component-wise compare of x == y. (From GLM_GTX_vecx extension)</span>
    220. 

  220. <a name="l00201"></a>00201                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_bvecxGTX&lt;N&gt; equalGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);                         <span class="comment">//&lt; \brief Returns the component-wise compare of x == y. (From GLM_GTX_vecx extension)</span>
    221. 

  221. <a name="l00202"></a>00202                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N&gt; detail::_bvecxGTX&lt;N&gt; notEqualGTX(<span class="keyword">const</span> detail::_bvecxGTX&lt;N&gt;&amp; x, <span class="keyword">const</span> detail::_bvecxGTX&lt;N&gt;&amp; y);                                                                <span class="comment">//&lt; \brief Returns the component-wise compare of x != y. (From GLM_GTX_vecx extension)</span>
    222. 

  222. <a name="l00203"></a>00203                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N, <span class="keyword">typename</span> T&gt; detail::_bvecxGTX&lt;N&gt; notEqualGTX(<span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; x, <span class="keyword">const</span> detail::_xvecxGTX&lt;N, T&gt;&amp; y);                      <span class="comment">//&lt; \brief Returns the component-wise compare of x != y. (From GLM_GTX_vecx extension)</span>
    223. 

  223. <a name="l00204"></a>00204                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N&gt; <span class="keywordtype">bool</span> anyGTX(<span class="keyword">const</span> detail::_bvecxGTX&lt;N&gt;&amp; x);                                                                                                                                                                    <span class="comment">//&lt; \brief Returns true if any component of x is true. (From GLM_GTX_vecx extension)</span>
    224. 

  224. <a name="l00205"></a>00205                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N&gt; <span class="keywordtype">bool</span> allGTX(<span class="keyword">const</span> detail::_bvecxGTX&lt;N&gt;&amp; x);                                                                                                                                                                    <span class="comment">//&lt; \brief Returns true if all component of x is true. (From GLM_GTX_vecx extension)</span>
    225. 

  225. <a name="l00206"></a>00206                         <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> N&gt; detail::_bvecxGTX&lt;N&gt; notGTX(<span class="keyword">const</span> detail::_bvecxGTX&lt;N&gt;&amp; v); <span class="comment">//&lt; \brief Returns the component-wise logical complement of x. (From GLM_GTX_vecx extension)</span>
    226. 

  226. <a name="l00207"></a>00207         }
    227. 

  227. <a name="l00208"></a>00208     }
    228. 

  228. <a name="l00209"></a>00209 }
    229. 

  229. <a name="l00210"></a>00210 
    230. 

  230. <a name="l00211"></a>00211 <span class="preprocessor">#define GLM_GTX_vecx namespace gtx::vecx</span>
    231. 

  231. <a name="l00212"></a>00212 <span class="preprocessor"></span><span class="preprocessor">#ifndef GLM_GTX_GLOBAL</span>
    232. 

  232. <a name="l00213"></a>00213 <span class="preprocessor"></span><span class="keyword">namespace </span>glm {<span class="keyword">using</span> GLM_GTX_vecx;}
    233. 

  233. <a name="l00214"></a>00214 <span class="preprocessor">#endif//GLM_GTX_GLOBAL</span>
    234. 

  234. <a name="l00215"></a>00215 <span class="preprocessor"></span>
    235. 

  235. <a name="l00216"></a>00216 <span class="preprocessor">#include &quot;vecx.inl&quot;</span>
    236. 

  236. <a name="l00217"></a>00217 
    237. 

  237. <a name="l00218"></a>00218 <span class="preprocessor">#endif//glm_gtx_vecx</span>
    238. 

  238. </pre></div></div>
    239. 

  239. <hr size="1"/><address style="text-align: right;"><small>Generated on Mon Nov 16 11:23:23 2009 for GLM by&nbsp;
    240. 

  240. <a href="http://www.doxygen.org/index.html">
    241. 

  241. <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address>
    242. 

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    243. 

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    244.