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Christophe Riccio
2013-12-25 23:48:55 +01:00
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<div class="title">euler_angles.hpp</div> </div>
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<a href="a00019.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="preprocessor">#ifndef GLM_GTX_euler_angles</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define GLM_GTX_euler_angles GLM_VERSION</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="preprocessor">#ifndef GLM_GTC_constants</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define GLM_GTC_constants</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="comment">// Dependency:</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="preprocessor">#include &quot;../glm.hpp&quot;</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="preprocessor">#include &quot;../gtc/half_float.hpp&quot;</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="preprocessor"></span><span class="preprocessor"># pragma message(&quot;GLM: GLM_GTX_euler_angles extension included&quot;)</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="keyword">namespace </span>glm</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;{</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; detail::tmat4x4&lt;valType&gt; <a class="code" href="a00168.html#gaac45eaecc2f40ecdda03a7112693dabf" title="Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle X.">eulerAngleX</a>(</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; valType <span class="keyword">const</span> &amp; angleX);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; valType <span class="keyword">const</span> &amp; angleY);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; detail::tmat4x4&lt;valType&gt; <a class="code" href="a00168.html#gaa309eabf292cab65cde623f398910685" title="Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle Z.">eulerAngleZ</a>(</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; valType <span class="keyword">const</span> &amp; angleZ);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; detail::tmat4x4&lt;valType&gt; <a class="code" href="a00168.html#ga943a94f69965d594efde254c139aaae8" title="Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y).">eulerAngleXY</a>(</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; valType <span class="keyword">const</span> &amp; angleX, </div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; valType <span class="keyword">const</span> &amp; angleY);</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="comment">// Dependencies</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="preprocessor">#include &quot;../detail/setup.hpp&quot;</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="preprocessor">#if(defined(GLM_MESSAGES) &amp;&amp; !defined(GLM_EXT_INCLUDED))</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="preprocessor"></span><span class="preprocessor"># pragma message(&quot;GLM: GLM_GTC_constants extension included&quot;)</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="keyword">namespace </span>glm</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;{</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gacb41049b8d22c8aa90e362b96c524feb">epsilon</a>();</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#ga5cc97dd01d37fc199264ff6030578435">zero</a>();</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#ga8186ec2c330457d41d9686c47cd3b2d1">one</a>();</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gae671930537266a9a650ccb4b88757692">pi</a>();</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#ga1cfeb345f34f72697d14f4db8d5d4c6c">root_pi</a>();</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; detail::tmat4x4&lt;valType&gt; <a class="code" href="a00168.html#gaac8d93a4b3ae4014ff8f1c5a5a793236" title="Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X).">eulerAngleYX</a>(</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gac1a9b3248357fd9e9b740bed90e0b1b7">one_over_root_two</a>();</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gaec5af85e2148c118aad7e797430fdeb0">root_half_pi</a>();</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; detail::tmat4x4&lt;valType&gt; <a class="code" href="a00168.html#gab2c29b80a86caa83f6b550de31e6889f" title="Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).">eulerAngleYXZ</a>(</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; valType <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#gaac012c1a6bc37ce07a87745d9c596eed" title="Returns yaw value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees othe...">yaw</a>, </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; valType <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#gaf2a0323dbf6c6fb3f37b445aa899c1c7" title="Returns pitch value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees ot...">pitch</a>, </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; valType <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga7ef4c8c1ce1ca988add2f73392db0a06" title="Returns roll value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees oth...">roll</a>);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; detail::tmat4x4&lt;valType&gt; <a class="code" href="a00168.html#ga4c297724e663cb77cc2cf7e4ab89b77e" title="Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).">yawPitchRoll</a>(</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; valType <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#gaac012c1a6bc37ce07a87745d9c596eed" title="Returns yaw value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees othe...">yaw</a>, </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; valType <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#gaf2a0323dbf6c6fb3f37b445aa899c1c7" title="Returns pitch value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees ot...">pitch</a>, </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; valType <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga7ef4c8c1ce1ca988add2f73392db0a06" title="Returns roll value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees oth...">roll</a>);</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; detail::tmat2x2&lt;T&gt; <a class="code" href="a00168.html#ga381a4208b916cabe7244b1b77b0ea6c2" title="Creates a 2D 2 * 2 rotation matrix from an euler angle.">orientate2</a>(T <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>);</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; detail::tmat3x3&lt;T&gt; <a class="code" href="a00168.html#ga745f26f19b9c0e35c22e634e7f0c1721" title="Creates a 2D 4 * 4 homogeneous rotation matrix from an euler angle.">orientate3</a>(T <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; detail::tmat3x3&lt;T&gt; <a class="code" href="a00168.html#ga745f26f19b9c0e35c22e634e7f0c1721" title="Creates a 2D 4 * 4 homogeneous rotation matrix from an euler angle.">orientate3</a>(detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; angles);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; detail::tmat4x4&lt;T&gt; <a class="code" href="a00168.html#gabbba69e91bb14442bb1b4d330235c550" title="Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).">orientate4</a>(detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; angles);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;}<span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;<span class="preprocessor">#include &quot;euler_angles.inl&quot;</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;<span class="preprocessor">#endif//GLM_GTX_euler_angles</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gae991b4d39c57b57990054eec3677597c">root_two_pi</a>();</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#ga9cae3fad9314e34c1d3aab71fcdef05f">root_ln_four</a>();</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gab83fb6de0f05d6c0d11bdf0479f8319e">e</a>();</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#ga6f14b46653b7ead1edcbd0fc6c9c5289">euler</a>();</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gab91b7799f88f9f2be33e385dec11b9c2">root_two</a>();</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gab3183635ac615473e2f95852f491be83">root_three</a>();</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gace2b8dfed1ab9fabbb67dde08e7e5b58">root_five</a>();</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#ga22fae798430edc3022766af4fd83e8a4">ln_two</a>();</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#ga48addf0cb0980277d208a71a1c59c073">ln_ten</a>();</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#ga650774609debe4a90bcac449b574de2c">ln_ln_two</a>();</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gabf280496105e0ad070287417f840ebd8">third</a>();</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gadde7f2efce3b14c8b26944fbafed4a10">two_thirds</a>();</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00171.html#gafd53093ef2d756333865d774bea3cdf9">golden_ratio</a>();</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;} <span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;<span class="preprocessor">#include &quot;constants.inl&quot;</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="preprocessor">#endif//GLM_GTC_constants</span></div>
<div class="ttc" id="a00171_html_gab83fb6de0f05d6c0d11bdf0479f8319e"><div class="ttname"><a href="a00171.html#gab83fb6de0f05d6c0d11bdf0479f8319e">glm::e</a></div><div class="ttdeci">GLM_FUNC_DECL genType e()</div><div class="ttdoc">Return e constant. </div></div>
<div class="ttc" id="a00171_html_gacb41049b8d22c8aa90e362b96c524feb"><div class="ttname"><a href="a00171.html#gacb41049b8d22c8aa90e362b96c524feb">glm::epsilon</a></div><div class="ttdeci">GLM_FUNC_DECL genType epsilon()</div><div class="ttdoc">Return the epsilon constant for floating point types. </div></div>
<div class="ttc" id="a00171_html_gafd53093ef2d756333865d774bea3cdf9"><div class="ttname"><a href="a00171.html#gafd53093ef2d756333865d774bea3cdf9">glm::golden_ratio</a></div><div class="ttdeci">GLM_FUNC_DECL genType golden_ratio()</div><div class="ttdoc">Return the golden ratio constant. </div></div>
<div class="ttc" id="a00171_html_ga9cae3fad9314e34c1d3aab71fcdef05f"><div class="ttname"><a href="a00171.html#ga9cae3fad9314e34c1d3aab71fcdef05f">glm::root_ln_four</a></div><div class="ttdeci">GLM_FUNC_DECL genType root_ln_four()</div><div class="ttdoc">Return sqrt(ln(4)). </div></div>
<div class="ttc" id="a00171_html_gab3183635ac615473e2f95852f491be83"><div class="ttname"><a href="a00171.html#gab3183635ac615473e2f95852f491be83">glm::root_three</a></div><div class="ttdeci">GLM_FUNC_DECL genType root_three()</div><div class="ttdoc">Return sqrt(3). </div></div>
<div class="ttc" id="a00171_html_gae671930537266a9a650ccb4b88757692"><div class="ttname"><a href="a00171.html#gae671930537266a9a650ccb4b88757692">glm::pi</a></div><div class="ttdeci">GLM_FUNC_DECL genType pi()</div><div class="ttdoc">Return the pi constant. </div></div>
<div class="ttc" id="a00171_html_gae991b4d39c57b57990054eec3677597c"><div class="ttname"><a href="a00171.html#gae991b4d39c57b57990054eec3677597c">glm::root_two_pi</a></div><div class="ttdeci">GLM_FUNC_DECL genType root_two_pi()</div><div class="ttdoc">Return sqrt(2 * pi). </div></div>
<div class="ttc" id="a00171_html_ga48addf0cb0980277d208a71a1c59c073"><div class="ttname"><a href="a00171.html#ga48addf0cb0980277d208a71a1c59c073">glm::ln_ten</a></div><div class="ttdeci">GLM_FUNC_DECL genType ln_ten()</div><div class="ttdoc">Return ln(10). </div></div>
<div class="ttc" id="a00171_html_ga8186ec2c330457d41d9686c47cd3b2d1"><div class="ttname"><a href="a00171.html#ga8186ec2c330457d41d9686c47cd3b2d1">glm::one</a></div><div class="ttdeci">GLM_FUNC_DECL genType one()</div><div class="ttdoc">Return 1. </div></div>
<div class="ttc" id="a00171_html_gadde7f2efce3b14c8b26944fbafed4a10"><div class="ttname"><a href="a00171.html#gadde7f2efce3b14c8b26944fbafed4a10">glm::two_thirds</a></div><div class="ttdeci">GLM_FUNC_DECL genType two_thirds()</div><div class="ttdoc">Return 2 / 3. </div></div>
<div class="ttc" id="a00171_html_ga5cc97dd01d37fc199264ff6030578435"><div class="ttname"><a href="a00171.html#ga5cc97dd01d37fc199264ff6030578435">glm::zero</a></div><div class="ttdeci">GLM_FUNC_DECL genType zero()</div><div class="ttdoc">Return 0. </div></div>
<div class="ttc" id="a00171_html_gac1a9b3248357fd9e9b740bed90e0b1b7"><div class="ttname"><a href="a00171.html#gac1a9b3248357fd9e9b740bed90e0b1b7">glm::one_over_root_two</a></div><div class="ttdeci">GLM_FUNC_DECL genType one_over_root_two()</div><div class="ttdoc">Return 1 / sqrt(2). </div></div>
<div class="ttc" id="a00171_html_ga22fae798430edc3022766af4fd83e8a4"><div class="ttname"><a href="a00171.html#ga22fae798430edc3022766af4fd83e8a4">glm::ln_two</a></div><div class="ttdeci">GLM_FUNC_DECL genType ln_two()</div><div class="ttdoc">Return ln(2). </div></div>
<div class="ttc" id="a00171_html_ga767e539c20585bf60aa63595b0f0b259"><div class="ttname"><a href="a00171.html#ga767e539c20585bf60aa63595b0f0b259">glm::two_over_root_pi</a></div><div class="ttdeci">GLM_FUNC_DECL genType two_over_root_pi()</div><div class="ttdoc">Return 2 / sqrt(pi). </div></div>
<div class="ttc" id="a00171_html_gab91b7799f88f9f2be33e385dec11b9c2"><div class="ttname"><a href="a00171.html#gab91b7799f88f9f2be33e385dec11b9c2">glm::root_two</a></div><div class="ttdeci">GLM_FUNC_DECL genType root_two()</div><div class="ttdoc">Return sqrt(2). </div></div>
<div class="ttc" id="a00171_html_ga85729d38c47351686e8659f80447a7ea"><div class="ttname"><a href="a00171.html#ga85729d38c47351686e8659f80447a7ea">glm::two_over_pi</a></div><div class="ttdeci">GLM_FUNC_DECL genType two_over_pi()</div><div class="ttdoc">Return 2 / pi. </div></div>
<div class="ttc" id="a00171_html_ga7f7a1050729f3b03b1873a06ba4a472f"><div class="ttname"><a href="a00171.html#ga7f7a1050729f3b03b1873a06ba4a472f">glm::half_pi</a></div><div class="ttdeci">GLM_FUNC_DECL genType half_pi()</div><div class="ttdoc">Return pi / 2. </div></div>
<div class="ttc" id="a00171_html_ga0148d757b4bfda4d86251b8d1ea1dad3"><div class="ttname"><a href="a00171.html#ga0148d757b4bfda4d86251b8d1ea1dad3">glm::quarter_pi</a></div><div class="ttdeci">GLM_FUNC_DECL genType quarter_pi()</div><div class="ttdoc">Return pi / 4. </div></div>
<div class="ttc" id="a00171_html_ga9ba09a027db6d4f4e259b01cf5d6c178"><div class="ttname"><a href="a00171.html#ga9ba09a027db6d4f4e259b01cf5d6c178">glm::one_over_pi</a></div><div class="ttdeci">GLM_FUNC_DECL genType one_over_pi()</div><div class="ttdoc">Return 1 / pi. </div></div>
<div class="ttc" id="a00171_html_ga6f14b46653b7ead1edcbd0fc6c9c5289"><div class="ttname"><a href="a00171.html#ga6f14b46653b7ead1edcbd0fc6c9c5289">glm::euler</a></div><div class="ttdeci">GLM_FUNC_DECL genType euler()</div><div class="ttdoc">Return Euler&amp;#39;s constant. </div></div>
<div class="ttc" id="a00171_html_gabf280496105e0ad070287417f840ebd8"><div class="ttname"><a href="a00171.html#gabf280496105e0ad070287417f840ebd8">glm::third</a></div><div class="ttdeci">GLM_FUNC_DECL genType third()</div><div class="ttdoc">Return 1 / 3. </div></div>
<div class="ttc" id="a00171_html_ga1cfeb345f34f72697d14f4db8d5d4c6c"><div class="ttname"><a href="a00171.html#ga1cfeb345f34f72697d14f4db8d5d4c6c">glm::root_pi</a></div><div class="ttdeci">GLM_FUNC_DECL genType root_pi()</div><div class="ttdoc">Return square root of pi. </div></div>
<div class="ttc" id="a00171_html_gaec5af85e2148c118aad7e797430fdeb0"><div class="ttname"><a href="a00171.html#gaec5af85e2148c118aad7e797430fdeb0">glm::root_half_pi</a></div><div class="ttdeci">GLM_FUNC_DECL genType root_half_pi()</div><div class="ttdoc">Return sqrt(pi / 2). </div></div>
<div class="ttc" id="a00171_html_gace2b8dfed1ab9fabbb67dde08e7e5b58"><div class="ttname"><a href="a00171.html#gace2b8dfed1ab9fabbb67dde08e7e5b58">glm::root_five</a></div><div class="ttdeci">GLM_FUNC_DECL genType root_five()</div><div class="ttdoc">Return sqrt(5). </div></div>
<div class="ttc" id="a00171_html_ga650774609debe4a90bcac449b574de2c"><div class="ttname"><a href="a00171.html#ga650774609debe4a90bcac449b574de2c">glm::ln_ln_two</a></div><div class="ttdeci">GLM_FUNC_DECL genType ln_ln_two()</div><div class="ttdoc">Return ln(ln(2)). </div></div>
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