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Christophe Riccio
2013-12-25 23:48:55 +01:00
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<div class="title">func_trigonometric.hpp</div> </div>
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<a href="a00033.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="l00040"></a><span class="lineno"> 40</span>&#160;<span class="preprocessor">#ifndef GLM_CORE_func_trigonometric</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define GLM_CORE_func_trigonometric GLM_VERSION</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="keyword">namespace </span>glm</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;{</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; genType <a class="code" href="a00136.html#ga4fb76e28851c9ff6653532566084e091" title="Converts degrees to radians and returns the result.">radians</a>(genType <span class="keyword">const</span> &amp; <a class="code" href="a00136.html#ga034bdb53d458242c506e4d830c7df3aa" title="Converts radians to degrees and returns the result.">degrees</a>);</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</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> genType&gt; </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; genType <a class="code" href="a00136.html#ga034bdb53d458242c506e4d830c7df3aa" title="Converts radians to degrees and returns the result.">degrees</a>(genType <span class="keyword">const</span> &amp; <a class="code" href="a00136.html#ga4fb76e28851c9ff6653532566084e091" title="Converts degrees to radians and returns the result.">radians</a>);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; genType <a class="code" href="a00136.html#ga4fcd05daafb008f20e121e727c0196c7" title="The standard trigonometric sine function.">sin</a>(genType <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="l00075"></a><span class="lineno"> 75</span>&#160;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; genType <a class="code" href="a00136.html#gace62d5d164def52455aeff19e1bccd88" title="The standard trigonometric cosine function.">cos</a>(genType <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="l00085"></a><span class="lineno"> 85</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>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; genType <a class="code" href="a00136.html#ga43860bed05c85587e2d931b26d765640" title="The standard trigonometric tangent function.">tan</a>(genType <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="l00094"></a><span class="lineno"> 94</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> genType&gt; </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; genType <a class="code" href="a00136.html#ga76b6422e62c99fa0849abdf21fcef5cf" title="Arc sine.">asin</a>(genType <span class="keyword">const</span> &amp; x);</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; genType <a class="code" href="a00136.html#gafef7954b5fa3228f4aaabde8dfa862a1" title="Arc cosine.">acos</a>(genType <span class="keyword">const</span> &amp; x);</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; genType <a class="code" href="a00136.html#ga6f38bb1a343b5d73ac71ddd53baa3375" title="Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2.">sinh</a>(genType <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="l00148"></a><span class="lineno"> 148</span>&#160;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; genType <a class="code" href="a00136.html#gaf1b20113fe439fa48524e8c35ea2c1d0" title="Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2.">cosh</a>(genType <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>);</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; genType <a class="code" href="a00136.html#ga5315f571fd52f30d368abc056c4aea13" title="Returns the hyperbolic tangent function, sinh(angle) / cosh(angle)">tanh</a>(genType <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="l00166"></a><span class="lineno"> 166</span>&#160;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; genType <a class="code" href="a00136.html#ga615d386dcfb41cdbbca2609c53113aac" title="Arc hyperbolic sine; returns the inverse of sinh.">asinh</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; </div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; genType <a class="code" href="a00136.html#ga0f37ff6b6878a0169cd41249e5377e09" title="Arc hyperbolic cosine; returns the non-negative inverse of cosh.">acosh</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; genType <a class="code" href="a00136.html#gadeda850d5dff43d4d069854b1b6a623c" title="Arc hyperbolic tangent; returns the inverse of tanh.">atanh</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160;}<span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;<span class="preprocessor">#include &quot;func_trigonometric.inl&quot;</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;<span class="preprocessor">#endif//GLM_CORE_func_trigonometric</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="preprocessor">#ifndef glm_core_func_exponential</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define glm_core_func_exponential</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="preprocessor">#include &quot;type_vec1.hpp&quot;</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="preprocessor">#include &quot;type_vec2.hpp&quot;</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="preprocessor">#include &quot;type_vec3.hpp&quot;</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="preprocessor">#include &quot;type_vec4.hpp&quot;</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</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="keyword">namespace </span>glm</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;{</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00156.html#ga1ce4b2fddd26d0d3a35a8d98f37f3ac0">pow</a>(genType <span class="keyword">const</span> &amp; base, genType <span class="keyword">const</span> &amp; exponent);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00156.html#gae154699ba6bda068d4b87cf9b987381f">exp</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00156.html#ga0c8da2d2921da250e8700ac4476916a1">log</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00156.html#gac45997fb3ac907cad408d6da0a0f5f54">exp2</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00156.html#gace633300a51ca1cbc1a42f565dcd3407">log2</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00156.html#ga2317d4ff45af448b8402431afa0711f3">sqrt</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00156.html#ga5ac08ead2e50ad0295b9ad85a3e449e9">inversesqrt</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;}<span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;<span class="preprocessor">#include &quot;func_exponential.inl&quot;</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="preprocessor">#endif//glm_core_func_exponential</span></div>
<div class="ttc" id="a00156_html_ga2317d4ff45af448b8402431afa0711f3"><div class="ttname"><a href="a00156.html#ga2317d4ff45af448b8402431afa0711f3">glm::sqrt</a></div><div class="ttdeci">GLM_FUNC_DECL genType sqrt(genType const &amp;x)</div><div class="ttdoc">Returns the positive square root of x. </div></div>
<div class="ttc" id="a00156_html_ga5ac08ead2e50ad0295b9ad85a3e449e9"><div class="ttname"><a href="a00156.html#ga5ac08ead2e50ad0295b9ad85a3e449e9">glm::inversesqrt</a></div><div class="ttdeci">GLM_FUNC_DECL genType inversesqrt(genType const &amp;x)</div><div class="ttdoc">Returns the reciprocal of the positive square root of x. </div></div>
<div class="ttc" id="a00156_html_gae154699ba6bda068d4b87cf9b987381f"><div class="ttname"><a href="a00156.html#gae154699ba6bda068d4b87cf9b987381f">glm::exp</a></div><div class="ttdeci">GLM_FUNC_DECL genType exp(genType const &amp;x)</div><div class="ttdoc">Returns the natural exponentiation of x, i.e., e^x. </div></div>
<div class="ttc" id="a00156_html_gace633300a51ca1cbc1a42f565dcd3407"><div class="ttname"><a href="a00156.html#gace633300a51ca1cbc1a42f565dcd3407">glm::log2</a></div><div class="ttdeci">GLM_FUNC_DECL genType log2(genType const &amp;x)</div><div class="ttdoc">Returns the base 2 log of x, i.e., returns the value y, which satisfies the equation x = 2 ^ y...</div></div>
<div class="ttc" id="a00156_html_ga1ce4b2fddd26d0d3a35a8d98f37f3ac0"><div class="ttname"><a href="a00156.html#ga1ce4b2fddd26d0d3a35a8d98f37f3ac0">glm::pow</a></div><div class="ttdeci">GLM_FUNC_DECL genType pow(genType const &amp;base, genType const &amp;exponent)</div><div class="ttdoc">Returns &amp;#39;base&amp;#39; raised to the power &amp;#39;exponent&amp;#39;. </div></div>
<div class="ttc" id="a00156_html_gac45997fb3ac907cad408d6da0a0f5f54"><div class="ttname"><a href="a00156.html#gac45997fb3ac907cad408d6da0a0f5f54">glm::exp2</a></div><div class="ttdeci">GLM_FUNC_DECL genType exp2(genType const &amp;x)</div><div class="ttdoc">Returns 2 raised to the x power. </div></div>
<div class="ttc" id="a00156_html_ga0c8da2d2921da250e8700ac4476916a1"><div class="ttname"><a href="a00156.html#ga0c8da2d2921da250e8700ac4476916a1">glm::log</a></div><div class="ttdeci">GLM_FUNC_DECL genType log(genType const &amp;x)</div><div class="ttdoc">Returns the natural logarithm of x, i.e., returns the value y which satisfies the equation x = e^y...</div></div>
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