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Christophe Riccio
2016-09-11 12:44:33 +02:00
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<div class="title">gtx/quaternion.hpp</div> </div>
<div class="title">round.hpp</div> </div>
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<div class="contents">
<a href="a00095.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="l00043"></a><span class="lineno"> 43</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment">// Dependencies</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &quot;../detail/setup.hpp&quot;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &quot;../detail/precision.hpp&quot;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#include &quot;../detail/_vectorize.hpp&quot;</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &quot;../vector_relational.hpp&quot;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &quot;../common.hpp&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#if GLM_MESSAGES == GLM_MESSAGES_ENABLED &amp;&amp; !defined(GLM_EXT_INCLUDED)</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor"># pragma message(&quot;GLM: GLM_GTC_integer extension included&quot;)</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="keyword">namespace </span><a class="code" href="a00141.html">glm</a></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;{</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genIUType&gt;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; GLM_FUNC_DECL <span class="keywordtype">bool</span> <a class="code" href="a00175.html#gad454e4c8d8cd73ddc7de855f733a1465">isPowerOfTwo</a>(genIUType Value);</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</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="l00043"></a><span class="lineno"> 43</span>&#160; GLM_FUNC_DECL vecType&lt;bool, P&gt; <a class="code" href="a00175.html#gad454e4c8d8cd73ddc7de855f733a1465">isPowerOfTwo</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; value);</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="comment">// Dependency:</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="preprocessor">#include &quot;../glm.hpp&quot;</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="preprocessor">#include &quot;../gtc/constants.hpp&quot;</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="preprocessor">#include &quot;../gtc/quaternion.hpp&quot;</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="preprocessor">#include &quot;../gtx/norm.hpp&quot;</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="preprocessor">#if(defined(GLM_MESSAGES) &amp;&amp; !defined(GLM_EXT_INCLUDED))</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="preprocessor"># pragma message(&quot;GLM: GLM_GTX_quaternion extension included&quot;)</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="keyword">namespace </span><a class="code" href="a00146.html">glm</a></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;{</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, precision P&gt;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; GLM_FUNC_DECL tvec3&lt;T, P&gt; <a class="code" href="a00224.html#ga4bfe3c7770fc43d14b8ef0058c4a86b5">cross</a>(</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; GLM_FUNC_DECL tvec3&lt;T, P&gt; <a class="code" href="a00224.html#ga4bfe3c7770fc43d14b8ef0058c4a86b5">cross</a>(</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; v,</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</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&gt;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#gae75f537becdf2b1381b4482ec96e6c82">squad</a>(</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q1,</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q2,</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; s1,</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; s2,</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; T <span class="keyword">const</span> &amp; h);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#ga56abae85b3669c866e91f3c57b298b9c">intermediate</a>(</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; prev,</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; curr,</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; next);</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genIUType&gt;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; GLM_FUNC_DECL genIUType <a class="code" href="a00175.html#ga76ec9b214ea1376fe09a903e34bab847">ceilPowerOfTwo</a>(genIUType Value);</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</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="a00175.html#ga76ec9b214ea1376fe09a903e34bab847">ceilPowerOfTwo</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; value);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</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> genIUType&gt;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; GLM_FUNC_DECL genIUType <a class="code" href="a00175.html#ga6a5a8f6dd1b2f755e4572bd039062c37">floorPowerOfTwo</a>(genIUType Value);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</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="l00071"></a><span class="lineno"> 71</span>&#160; GLM_FUNC_DECL vecType&lt;T, P&gt; <a class="code" href="a00175.html#ga6a5a8f6dd1b2f755e4572bd039062c37">floorPowerOfTwo</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; value);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genIUType&gt;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; GLM_FUNC_DECL genIUType <a class="code" href="a00175.html#gae95be3b384f3bbd00c6c1cf0a1f96485">roundPowerOfTwo</a>(genIUType Value);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</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="l00083"></a><span class="lineno"> 83</span>&#160; GLM_FUNC_DECL vecType&lt;T, P&gt; <a class="code" href="a00175.html#gae95be3b384f3bbd00c6c1cf0a1f96485">roundPowerOfTwo</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; value);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genIUType&gt;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; GLM_FUNC_DECL <span class="keywordtype">bool</span> <a class="code" href="a00175.html#ga7ae705574ef3e3ebfb4f537d8d285c48">isMultiple</a>(genIUType Value, genIUType Multiple);</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</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="l00095"></a><span class="lineno"> 95</span>&#160; GLM_FUNC_DECL vecType&lt;bool, P&gt; <a class="code" href="a00175.html#ga7ae705574ef3e3ebfb4f537d8d285c48">isMultiple</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; Value, T Multiple);</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#ga17295173d4c2b5ae49b84e9993b63a62">exp</a>(</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</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> T, precision P&gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#ga791f42e134bfe97fc9c96f4668dd7489">log</a>(</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#ga42a0cf206c59eaeff4c67dd62e09a580">pow</a>(</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x,</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; T <span class="keyword">const</span> &amp; y);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="comment">//template&lt;typename T, precision P&gt;</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="comment">//tquat&lt;T, P&gt; sqrt(</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="comment">// tquat&lt;T, P&gt; const &amp; q);</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; GLM_FUNC_DECL tvec3&lt;T, P&gt; <a class="code" href="a00224.html#ga96575f8868b3f2aa3e13cab9b94ccbd3">rotate</a>(</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</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> T, precision P&gt;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; GLM_FUNC_DECL tvec4&lt;T, P&gt; <a class="code" href="a00224.html#ga96575f8868b3f2aa3e13cab9b94ccbd3">rotate</a>(</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; tvec4&lt;T, P&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00224.html#ga90de879d97487ec804522dd418e5d8a0">extractRealComponent</a>(</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</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> T, precision P&gt;</div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="a00224.html#ga01935b66ba245c2fd7dee5427d86ce9b"> 153</a></span>&#160; GLM_FUNC_DECL tmat3x3&lt;T, P&gt; <a class="code" href="a00224.html#ga01935b66ba245c2fd7dee5427d86ce9b">toMat3</a>(</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x){<span class="keywordflow">return</span> <a class="code" href="a00177.html#gae04c39422eb4e450ec8c4f45a1057b40">mat3_cast</a>(x);}</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="a00224.html#gaedc9fba6485eade37cc26c16df9d7aad"> 160</a></span>&#160; GLM_FUNC_DECL tmat4x4&lt;T, P&gt; <a class="code" href="a00224.html#gaedc9fba6485eade37cc26c16df9d7aad">toMat4</a>(</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x){<span class="keywordflow">return</span> <a class="code" href="a00177.html#ga14bb2ddf028c91542763eb6f2bba47ef">mat4_cast</a>(x);}</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00167"></a><span class="lineno"><a class="line" href="a00224.html#gac9e3109ca60b644ce508d6b71a1697bc"> 167</a></span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#ga808dd0f83ee8150db7e652313bde8eb2">toQuat</a>(</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; tmat3x3&lt;T, P&gt; <span class="keyword">const</span> &amp; x){<span class="keywordflow">return</span> <a class="code" href="a00177.html#ga950f8acff3e33bbda77895a3dcb7e5ce">quat_cast</a>(x);}</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</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> T, precision P&gt;</div>
<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="a00224.html#ga808dd0f83ee8150db7e652313bde8eb2"> 174</a></span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#ga808dd0f83ee8150db7e652313bde8eb2">toQuat</a>(</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; tmat4x4&lt;T, P&gt; <span class="keyword">const</span> &amp; x){<span class="keywordflow">return</span> <a class="code" href="a00177.html#ga950f8acff3e33bbda77895a3dcb7e5ce">quat_cast</a>(x);}</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#ga3534443de2a1a806f386976546cddc81">shortMix</a>(</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x,</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; y,</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; T <span class="keyword">const</span> &amp; a);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#gac11bf550f17d1da14423595a27575084">fastMix</a>(</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x,</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; y,</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; T <span class="keyword">const</span> &amp; a);</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160;</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; GLM_FUNC_DECL tquat&lt;T, P&gt; <a class="code" href="a00224.html#gac4856d356c5c97cec74e9b672ea89240">rotation</a>(</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; orig, </div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; dest);</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00224.html#ga02b45352c7ac345cabc9e877314acda6">length2</a>(tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;}<span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160;<span class="preprocessor">#include &quot;quaternion.inl&quot;</span></div>
<div class="ttc" id="a00224_html_ga56abae85b3669c866e91f3c57b298b9c"><div class="ttname"><a href="a00224.html#ga56abae85b3669c866e91f3c57b298b9c">glm::intermediate</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; intermediate(tquat&lt; T, P &gt; const &amp;prev, tquat&lt; T, P &gt; const &amp;curr, tquat&lt; T, P &gt; const &amp;next)</div><div class="ttdoc">Returns an intermediate control point for squad interpolation. </div></div>
<div class="ttc" id="a00224_html_ga90de879d97487ec804522dd418e5d8a0"><div class="ttname"><a href="a00224.html#ga90de879d97487ec804522dd418e5d8a0">glm::extractRealComponent</a></div><div class="ttdeci">GLM_FUNC_DECL T extractRealComponent(tquat&lt; T, P &gt; const &amp;q)</div><div class="ttdoc">Extract the real component of a quaternion. </div></div>
<div class="ttc" id="a00224_html_ga01935b66ba245c2fd7dee5427d86ce9b"><div class="ttname"><a href="a00224.html#ga01935b66ba245c2fd7dee5427d86ce9b">glm::toMat3</a></div><div class="ttdeci">GLM_FUNC_DECL tmat3x3&lt; T, P &gt; toMat3(tquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 3 * 3 matrix. </div><div class="ttdef"><b>Definition:</b> <a href="a00095_source.html#l00153">gtx/quaternion.hpp:153</a></div></div>
<div class="ttc" id="a00224_html_ga17295173d4c2b5ae49b84e9993b63a62"><div class="ttname"><a href="a00224.html#ga17295173d4c2b5ae49b84e9993b63a62">glm::exp</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; exp(tquat&lt; T, P &gt; const &amp;q)</div><div class="ttdoc">Returns a exp of a quaternion. </div></div>
<div class="ttc" id="a00224_html_gac11bf550f17d1da14423595a27575084"><div class="ttname"><a href="a00224.html#gac11bf550f17d1da14423595a27575084">glm::fastMix</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; fastMix(tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T const &amp;a)</div><div class="ttdoc">Quaternion normalized linear interpolation. </div></div>
<div class="ttc" id="a00224_html_gae75f537becdf2b1381b4482ec96e6c82"><div class="ttname"><a href="a00224.html#gae75f537becdf2b1381b4482ec96e6c82">glm::squad</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; squad(tquat&lt; T, P &gt; const &amp;q1, tquat&lt; T, P &gt; const &amp;q2, tquat&lt; T, P &gt; const &amp;s1, tquat&lt; T, P &gt; const &amp;s2, T const &amp;h)</div><div class="ttdoc">Compute a point on a path according squad equation. </div></div>
<div class="ttc" id="a00224_html_gaedc9fba6485eade37cc26c16df9d7aad"><div class="ttname"><a href="a00224.html#gaedc9fba6485eade37cc26c16df9d7aad">glm::toMat4</a></div><div class="ttdeci">GLM_FUNC_DECL tmat4x4&lt; T, P &gt; toMat4(tquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 4 * 4 matrix. </div><div class="ttdef"><b>Definition:</b> <a href="a00095_source.html#l00160">gtx/quaternion.hpp:160</a></div></div>
<div class="ttc" id="a00177_html_ga14bb2ddf028c91542763eb6f2bba47ef"><div class="ttname"><a href="a00177.html#ga14bb2ddf028c91542763eb6f2bba47ef">glm::mat4_cast</a></div><div class="ttdeci">GLM_FUNC_DECL tmat4x4&lt; T, P &gt; mat4_cast(tquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 4 * 4 matrix. </div></div>
<div class="ttc" id="a00224_html_ga3534443de2a1a806f386976546cddc81"><div class="ttname"><a href="a00224.html#ga3534443de2a1a806f386976546cddc81">glm::shortMix</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; shortMix(tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T const &amp;a)</div><div class="ttdoc">Quaternion interpolation using the rotation short path. </div></div>
<div class="ttc" id="a00224_html_ga808dd0f83ee8150db7e652313bde8eb2"><div class="ttname"><a href="a00224.html#ga808dd0f83ee8150db7e652313bde8eb2">glm::toQuat</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; toQuat(tmat4x4&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a 4 * 4 matrix to a quaternion. </div><div class="ttdef"><b>Definition:</b> <a href="a00095_source.html#l00174">gtx/quaternion.hpp:174</a></div></div>
<div class="ttc" id="a00224_html_ga4bfe3c7770fc43d14b8ef0058c4a86b5"><div class="ttname"><a href="a00224.html#ga4bfe3c7770fc43d14b8ef0058c4a86b5">glm::cross</a></div><div class="ttdeci">GLM_FUNC_DECL tvec3&lt; T, P &gt; cross(tvec3&lt; T, P &gt; const &amp;v, tquat&lt; T, P &gt; const &amp;q)</div><div class="ttdoc">Compute a cross product between a vector and a quaternion. </div></div>
<div class="ttc" id="a00146_html"><div class="ttname"><a href="a00146.html">glm</a></div><div class="ttdef"><b>Definition:</b> <a href="a00003_source.html#l00040">_noise.hpp:40</a></div></div>
<div class="ttc" id="a00224_html_ga96575f8868b3f2aa3e13cab9b94ccbd3"><div class="ttname"><a href="a00224.html#ga96575f8868b3f2aa3e13cab9b94ccbd3">glm::rotate</a></div><div class="ttdeci">GLM_FUNC_DECL tvec4&lt; T, P &gt; rotate(tquat&lt; T, P &gt; const &amp;q, tvec4&lt; T, P &gt; const &amp;v)</div><div class="ttdoc">Rotates a 4 components vector by a quaternion. </div></div>
<div class="ttc" id="a00177_html_ga950f8acff3e33bbda77895a3dcb7e5ce"><div class="ttname"><a href="a00177.html#ga950f8acff3e33bbda77895a3dcb7e5ce">glm::quat_cast</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; quat_cast(tmat3x3&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a 3 * 3 matrix to a quaternion. </div></div>
<div class="ttc" id="a00224_html_gac4856d356c5c97cec74e9b672ea89240"><div class="ttname"><a href="a00224.html#gac4856d356c5c97cec74e9b672ea89240">glm::rotation</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; rotation(tvec3&lt; T, P &gt; const &amp;orig, tvec3&lt; T, P &gt; const &amp;dest)</div><div class="ttdoc">Compute the rotation between two vectors. </div></div>
<div class="ttc" id="a00177_html_gae04c39422eb4e450ec8c4f45a1057b40"><div class="ttname"><a href="a00177.html#gae04c39422eb4e450ec8c4f45a1057b40">glm::mat3_cast</a></div><div class="ttdeci">GLM_FUNC_DECL tmat3x3&lt; T, P &gt; mat3_cast(tquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 3 * 3 matrix. </div></div>
<div class="ttc" id="a00224_html_ga791f42e134bfe97fc9c96f4668dd7489"><div class="ttname"><a href="a00224.html#ga791f42e134bfe97fc9c96f4668dd7489">glm::log</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; log(tquat&lt; T, P &gt; const &amp;q)</div><div class="ttdoc">Returns a log of a quaternion. </div></div>
<div class="ttc" id="a00224_html_ga02b45352c7ac345cabc9e877314acda6"><div class="ttname"><a href="a00224.html#ga02b45352c7ac345cabc9e877314acda6">glm::length2</a></div><div class="ttdeci">GLM_FUNC_DECL T length2(tquat&lt; T, P &gt; const &amp;q)</div><div class="ttdoc">Returns the squared length of x. </div></div>
<div class="ttc" id="a00224_html_ga42a0cf206c59eaeff4c67dd62e09a580"><div class="ttname"><a href="a00224.html#ga42a0cf206c59eaeff4c67dd62e09a580">glm::pow</a></div><div class="ttdeci">GLM_FUNC_DECL tquat&lt; T, P &gt; pow(tquat&lt; T, P &gt; const &amp;x, T const &amp;y)</div><div class="ttdoc">Returns x raised to the y power. </div></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</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="l00101"></a><span class="lineno"> 101</span>&#160; GLM_FUNC_DECL vecType&lt;bool, P&gt; <a class="code" href="a00175.html#ga7ae705574ef3e3ebfb4f537d8d285c48">isMultiple</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; Value, vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; Multiple);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</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> genType&gt;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00175.html#gafe632af669ac57d670ca18e3665a12ca">ceilMultiple</a>(genType Source, genType Multiple);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</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="l00121"></a><span class="lineno"> 121</span>&#160; GLM_FUNC_DECL vecType&lt;T, P&gt; <a class="code" href="a00175.html#gafe632af669ac57d670ca18e3665a12ca">ceilMultiple</a>(vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; Source, vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; Multiple);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00175.html#ga6912db42d43873fe1dedb3aed2b7a239">floorMultiple</a>(</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; genType Source,</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; genType Multiple);</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</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> 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="l00143"></a><span class="lineno"> 143</span>&#160; GLM_FUNC_DECL vecType&lt;T, P&gt; <a class="code" href="a00175.html#ga6912db42d43873fe1dedb3aed2b7a239">floorMultiple</a>(</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; Source,</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; Multiple);</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; GLM_FUNC_DECL genType <a class="code" href="a00175.html#ga10a8ab7b254257b607b6a3fc68c3e661">roundMultiple</a>(</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; genType Source,</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; genType Multiple);</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</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="l00167"></a><span class="lineno"> 167</span>&#160; GLM_FUNC_DECL vecType&lt;T, P&gt; <a class="code" href="a00175.html#ga10a8ab7b254257b607b6a3fc68c3e661">roundMultiple</a>(</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; Source,</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; vecType&lt;T, P&gt; <span class="keyword">const</span> &amp; Multiple);</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;} <span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;<span class="preprocessor">#include &quot;round.inl&quot;</span></div>
<div class="ttc" id="a00175_html_gad454e4c8d8cd73ddc7de855f733a1465"><div class="ttname"><a href="a00175.html#gad454e4c8d8cd73ddc7de855f733a1465">glm::isPowerOfTwo</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; bool, P &gt; isPowerOfTwo(vecType&lt; T, P &gt; const &amp;value)</div><div class="ttdoc">Return true if the value is a power of two number. </div></div>
<div class="ttc" id="a00175_html_ga7ae705574ef3e3ebfb4f537d8d285c48"><div class="ttname"><a href="a00175.html#ga7ae705574ef3e3ebfb4f537d8d285c48">glm::isMultiple</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; bool, P &gt; isMultiple(vecType&lt; T, P &gt; const &amp;Value, vecType&lt; T, P &gt; const &amp;Multiple)</div><div class="ttdoc">Return true if the &#39;Value&#39; is a multiple of &#39;Multiple&#39;. </div></div>
<div class="ttc" id="a00175_html_gafe632af669ac57d670ca18e3665a12ca"><div class="ttname"><a href="a00175.html#gafe632af669ac57d670ca18e3665a12ca">glm::ceilMultiple</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; T, P &gt; ceilMultiple(vecType&lt; T, P &gt; const &amp;Source, vecType&lt; T, P &gt; const &amp;Multiple)</div><div class="ttdoc">Higher multiple number of Source. </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="a00175_html_gae95be3b384f3bbd00c6c1cf0a1f96485"><div class="ttname"><a href="a00175.html#gae95be3b384f3bbd00c6c1cf0a1f96485">glm::roundPowerOfTwo</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; T, P &gt; roundPowerOfTwo(vecType&lt; T, P &gt; const &amp;value)</div><div class="ttdoc">Return the power of two number which value is the closet to the input value. </div></div>
<div class="ttc" id="a00175_html_ga10a8ab7b254257b607b6a3fc68c3e661"><div class="ttname"><a href="a00175.html#ga10a8ab7b254257b607b6a3fc68c3e661">glm::roundMultiple</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; T, P &gt; roundMultiple(vecType&lt; T, P &gt; const &amp;Source, vecType&lt; T, P &gt; const &amp;Multiple)</div><div class="ttdoc">Lower multiple number of Source. </div></div>
<div class="ttc" id="a00175_html_ga6a5a8f6dd1b2f755e4572bd039062c37"><div class="ttname"><a href="a00175.html#ga6a5a8f6dd1b2f755e4572bd039062c37">glm::floorPowerOfTwo</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; T, P &gt; floorPowerOfTwo(vecType&lt; T, P &gt; const &amp;value)</div><div class="ttdoc">Return the power of two number which value is just lower the input value, round down to a power of tw...</div></div>
<div class="ttc" id="a00175_html_ga76ec9b214ea1376fe09a903e34bab847"><div class="ttname"><a href="a00175.html#ga76ec9b214ea1376fe09a903e34bab847">glm::ceilPowerOfTwo</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; T, P &gt; ceilPowerOfTwo(vecType&lt; T, P &gt; const &amp;value)</div><div class="ttdoc">Return the power of two number which value is just higher the input value, round up to a power of two...</div></div>
<div class="ttc" id="a00175_html_ga6912db42d43873fe1dedb3aed2b7a239"><div class="ttname"><a href="a00175.html#ga6912db42d43873fe1dedb3aed2b7a239">glm::floorMultiple</a></div><div class="ttdeci">GLM_FUNC_DECL vecType&lt; T, P &gt; floorMultiple(vecType&lt; T, P &gt; const &amp;Source, vecType&lt; T, P &gt; const &amp;Multiple)</div><div class="ttdoc">Lower multiple number of Source. </div></div>
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