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Christophe Riccio
2016-11-13 00:39:32 +01:00
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<div class="title">fast_trigonometry.hpp</div> </div>
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<a href="a00028.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>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;</div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment">// Dependency:</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#include &quot;../gtc/constants.hpp&quot;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#if GLM_MESSAGES == GLM_MESSAGES_ENABLED &amp;&amp; !defined(GLM_EXT_INCLUDED)</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor"># pragma message(&quot;GLM: GLM_GTX_fast_trigonometry extension included&quot;)</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment">// Dependency:</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &quot;../common.hpp&quot;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#include &quot;../exponential.hpp&quot;</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &quot;../geometric.hpp&quot;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="keyword">namespace </span><a class="code" href="a00141.html">glm</a></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;{</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00195.html#ga069527c6dbd64f53435b8ebc4878b473">wrapAngle</a>(T <a class="code" href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00195.html#ga0aab3257bb3b628d10a1e0483e2c6915">fastSin</a>(T <a class="code" href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00195.html#gab34c8b45c23c0165a64dcecfcc3b302a">fastCos</a>(T <a class="code" href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00195.html#gaf29b9c1101a10007b4f79ee89df27ba2">fastTan</a>(T <a class="code" href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00195.html#ga562cb62c51fbfe7fac7db0bce706b81f">fastAsin</a>(T <a class="code" href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</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> T&gt; </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00195.html#ga9721d63356e5d94fdc4b393a426ab26b">fastAcos</a>(T <a class="code" href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</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> T&gt; </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00195.html#gae25de86a968490ff56856fa425ec9d30">fastAtan</a>(T y, T x);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</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> T&gt; </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00195.html#gae25de86a968490ff56856fa425ec9d30">fastAtan</a>(T <a class="code" href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;}<span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="preprocessor">#include &quot;fast_trigonometry.inl&quot;</span></div>
<div class="ttc" id="a00195_html_ga9721d63356e5d94fdc4b393a426ab26b"><div class="ttname"><a href="a00195.html#ga9721d63356e5d94fdc4b393a426ab26b">glm::fastAcos</a></div><div class="ttdeci">GLM_FUNC_DECL T fastAcos(T angle)</div><div class="ttdoc">Faster than the common acos function but less accurate. </div></div>
<div class="ttc" id="a00141_html"><div class="ttname"><a href="a00141.html">glm</a></div><div class="ttdef"><b>Definition:</b> <a href="a00003_source.html#l00011">_noise.hpp:11</a></div></div>
<div class="ttc" id="a00195_html_ga0aab3257bb3b628d10a1e0483e2c6915"><div class="ttname"><a href="a00195.html#ga0aab3257bb3b628d10a1e0483e2c6915">glm::fastSin</a></div><div class="ttdeci">GLM_FUNC_DECL T fastSin(T angle)</div><div class="ttdoc">Faster than the common sin function but less accurate. </div></div>
<div class="ttc" id="a00195_html_ga069527c6dbd64f53435b8ebc4878b473"><div class="ttname"><a href="a00195.html#ga069527c6dbd64f53435b8ebc4878b473">glm::wrapAngle</a></div><div class="ttdeci">GLM_FUNC_DECL T wrapAngle(T angle)</div><div class="ttdoc">Wrap an angle to [0 2pi[ From GLM_GTX_fast_trigonometry extension. </div></div>
<div class="ttc" id="a00195_html_ga562cb62c51fbfe7fac7db0bce706b81f"><div class="ttname"><a href="a00195.html#ga562cb62c51fbfe7fac7db0bce706b81f">glm::fastAsin</a></div><div class="ttdeci">GLM_FUNC_DECL T fastAsin(T angle)</div><div class="ttdoc">Faster than the common asin function but less accurate. </div></div>
<div class="ttc" id="a00172_html_gad4a4448baedb198b2b1e7880d2544dc9"><div class="ttname"><a href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">glm::angle</a></div><div class="ttdeci">GLM_FUNC_DECL T angle(tquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Returns the quaternion rotation angle. </div></div>
<div class="ttc" id="a00195_html_gaf29b9c1101a10007b4f79ee89df27ba2"><div class="ttname"><a href="a00195.html#gaf29b9c1101a10007b4f79ee89df27ba2">glm::fastTan</a></div><div class="ttdeci">GLM_FUNC_DECL T fastTan(T angle)</div><div class="ttdoc">Faster than the common tan function but less accurate. </div></div>
<div class="ttc" id="a00195_html_gab34c8b45c23c0165a64dcecfcc3b302a"><div class="ttname"><a href="a00195.html#gab34c8b45c23c0165a64dcecfcc3b302a">glm::fastCos</a></div><div class="ttdeci">GLM_FUNC_DECL T fastCos(T angle)</div><div class="ttdoc">Faster than the common cos function but less accurate. </div></div>
<div class="ttc" id="a00195_html_gae25de86a968490ff56856fa425ec9d30"><div class="ttname"><a href="a00195.html#gae25de86a968490ff56856fa425ec9d30">glm::fastAtan</a></div><div class="ttdeci">GLM_FUNC_DECL T fastAtan(T angle)</div><div class="ttdoc">Faster than the common atan function but less accurate. </div></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#ifndef GLM_ENABLE_EXPERIMENTAL</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor"># error &quot;GLM: GLM_GTX_fast_square_root is an experimetal extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.&quot;</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#if GLM_MESSAGES == GLM_MESSAGES_ENABLED &amp;&amp; !defined(GLM_EXT_INCLUDED)</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor"># pragma message(&quot;GLM: GLM_GTX_fast_square_root extension included&quot;)</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="keyword">namespace </span><a class="code" href="a00140.html">glm</a></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;{</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00194.html#gaad9f601bbc3faa04dda384e4c4e1592c">fastSqrt</a>(genType x);</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P, <span class="keyword">template</span> &lt;<span class="keyword">typename</span>, precision&gt; <span class="keyword">class </span>vecType&gt;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; GLM_FUNC_DECL vecType&lt;T, P&gt; <a class="code" href="a00194.html#gaad9f601bbc3faa04dda384e4c4e1592c">fastSqrt</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00194.html#ga903878071f92e51e551791e584a171a1">fastInverseSqrt</a>(genType x);</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P, <span class="keyword">template</span> &lt;<span class="keyword">typename</span>, precision&gt; <span class="keyword">class </span>vecType&gt;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; GLM_FUNC_DECL vecType&lt;T, P&gt; <a class="code" href="a00194.html#ga903878071f92e51e551791e584a171a1">fastInverseSqrt</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</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="a00194.html#gae28a3099cbd6404a4ea8ef22147ed7b0">fastLength</a>(genType x);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</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> T, precision P, <span class="keyword">template</span> &lt;<span class="keyword">typename</span>, precision&gt; <span class="keyword">class </span>vecType&gt;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00194.html#gae28a3099cbd6404a4ea8ef22147ed7b0">fastLength</a>(vecType&lt;T, P&gt; <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="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00194.html#ga6d1ac559cd77d69119e30c3aca0e14b5">fastDistance</a>(genType x, genType y);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</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> T, precision P, <span class="keyword">template</span> &lt;<span class="keyword">typename</span>, precision&gt; <span class="keyword">class </span>vecType&gt;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00194.html#ga6d1ac559cd77d69119e30c3aca0e14b5">fastDistance</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; x, vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; y);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt; </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00194.html#ga3b02c1d6e0c754144e2f1e110bf9f16c">fastNormalize</a>(genType <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;}<span class="comment">// namespace glm</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;<span class="preprocessor">#include &quot;fast_square_root.inl&quot;</span></div>
<div class="ttc" id="a00194_html_ga6d1ac559cd77d69119e30c3aca0e14b5"><div class="ttname"><a href="a00194.html#ga6d1ac559cd77d69119e30c3aca0e14b5">glm::fastDistance</a></div><div class="ttdeci">GLM_FUNC_DECL T fastDistance(vecType&lt; T, P &gt; const &amp;x, vecType&lt; T, P &gt; const &amp;y)</div><div class="ttdoc">Faster than the common distance function but less accurate. </div></div>
<div class="ttc" id="a00194_html_ga3b02c1d6e0c754144e2f1e110bf9f16c"><div class="ttname"><a href="a00194.html#ga3b02c1d6e0c754144e2f1e110bf9f16c">glm::fastNormalize</a></div><div class="ttdeci">GLM_FUNC_DECL genType fastNormalize(genType const &amp;x)</div><div class="ttdoc">Faster than the common normalize function but less accurate. </div></div>
<div class="ttc" id="a00194_html_ga903878071f92e51e551791e584a171a1"><div class="ttname"><a href="a00194.html#ga903878071f92e51e551791e584a171a1">glm::fastInverseSqrt</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; T, P &gt; fastInverseSqrt(vecType&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Faster than the common inversesqrt function but less accurate. </div></div>
<div class="ttc" id="a00194_html_gaad9f601bbc3faa04dda384e4c4e1592c"><div class="ttname"><a href="a00194.html#gaad9f601bbc3faa04dda384e4c4e1592c">glm::fastSqrt</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; T, P &gt; fastSqrt(vecType&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Faster than the common sqrt function but less accurate. </div></div>
<div class="ttc" id="a00194_html_gae28a3099cbd6404a4ea8ef22147ed7b0"><div class="ttname"><a href="a00194.html#gae28a3099cbd6404a4ea8ef22147ed7b0">glm::fastLength</a></div><div class="ttdeci">GLM_FUNC_DECL T fastLength(vecType&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Faster than the common length function but less accurate. </div></div>
<div class="ttc" id="a00140_html"><div class="ttname"><a href="a00140.html">glm</a></div><div class="ttdef"><b>Definition:</b> <a href="a00003_source.html#l00011">_noise.hpp:11</a></div></div>
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