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<li class="navelem"><a class="el" href="dir_934f46a345653ef2b3014a1b37a162c1.html">G:</a></li><li class="navelem"><a class="el" href="dir_bf513233250988b6ff3b72f8482c1597.html">Repository</a></li><li class="navelem"><a class="el" href="dir_e217bba5d90990da93f61f0ea8b942dc.html">glm</a></li><li class="navelem"><a class="el" href="dir_a844bf6d5a07b8853f8463b41029861e.html">glm</a></li><li class="navelem"><a class="el" href="dir_abb3ddac8d2c26e45fecc003279ba790.html">gtx</a></li> </ul>
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<div class="title">gtx/quaternion.hpp</div> </div>
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<div class="contents">
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<a href="a00077.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> </div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> </div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> </div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#ifndef GLM_GTX_quaternion</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor"></span><span class="preprocessor">#define GLM_GTX_quaternion GLM_VERSION</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// Dependency:</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "../glm.hpp"</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "../gtc/quaternion.hpp"</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#if(defined(GLM_MESSAGES) && !defined(glm_ext))</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor"></span><span class="preprocessor"># pragma message("GLM: GLM_GTX_quaternion extension included")</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">namespace </span>glm</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> {</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  detail::tvec3<valType> <a class="code" href="a00131.html#gaa127ddc9d38f715125f91742d399eb6f" title="Returns the cross product of x and y.">cross</a>(</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  detail::tquat<valType> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  detail::tvec3<valType> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  detail::tvec3<valType> <a class="code" href="a00131.html#gaa127ddc9d38f715125f91742d399eb6f" title="Returns the cross product of x and y.">cross</a>(</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  detail::tvec3<valType> <span class="keyword">const</span> & v, </div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  detail::tquat<valType> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  detail::tquat<valType> <a class="code" href="a00198.html#ga3e9e70938d0e5528edddadb175f8eda4" title="Compute a point on a path according squad equation.">squad</a>(</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  detail::tquat<valType> <span class="keyword">const</span> & q1, </div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  detail::tquat<valType> <span class="keyword">const</span> & q2, </div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  detail::tquat<valType> <span class="keyword">const</span> & s1, </div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  detail::tquat<valType> <span class="keyword">const</span> & s2, </div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  valType <span class="keyword">const</span> & h);</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  detail::tquat<valType> <a class="code" href="a00198.html#gadf15938f0260ed8894cc39be603fc4e9" title="Returns an intermediate control point for squad interpolation.">intermediate</a>(</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  detail::tquat<valType> <span class="keyword">const</span> & prev, </div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  detail::tquat<valType> <span class="keyword">const</span> & curr, </div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  detail::tquat<valType> <span class="keyword">const</span> & next);</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  detail::tquat<valType> <a class="code" href="a00130.html#ga03903bb9395a13d554a5fbecdf67792b" title="Returns the natural exponentiation of x, i.e., e^x.">exp</a>(</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  detail::tquat<valType> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  valType <span class="keyword">const</span> & exponent);</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> </div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  detail::tquat<valType> <a class="code" href="a00130.html#ga46a307f466090551e328eec42abf61bc" title="Returns the natural logarithm of x, i.e., returns the value y which satisfies the equation x = e^y...">log</a>(</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  detail::tquat<valType> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  detail::tquat<valType> <a class="code" href="a00130.html#gac93ea301c287d87a63fa14a4c44b719b" title="Returns x raised to the y power.">pow</a>(</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  detail::tquat<valType> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  valType <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="comment">//template <typename valType> </span></div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="comment">//detail::tquat<valType> sqrt(</span></div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// detail::tquat<valType> const & q);</span></div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  detail::tvec3<valType> <a class="code" href="a00151.html#gaacb9cbe8f93a8fef9dc3e25559df19c0" title="Builds a rotation 4 * 4 matrix created from an axis vector and an angle.">rotate</a>(</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  detail::tquat<valType> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  detail::tvec3<valType> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  detail::tvec4<valType> <a class="code" href="a00151.html#gaacb9cbe8f93a8fef9dc3e25559df19c0" title="Builds a rotation 4 * 4 matrix created from an axis vector and an angle.">rotate</a>(</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  detail::tquat<valType> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  detail::tvec4<valType> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> </div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  valType <a class="code" href="a00198.html#gaa4574d2111d8c55c0e5c531706c0e20d" title="Extract the real component of a quaternion.">extractRealComponent</a>(</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  detail::tquat<valType> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  valType <a class="code" href="a00198.html#ga7ef4c8c1ce1ca988add2f73392db0a06" title="Returns roll value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees oth...">roll</a>(</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  valType <a class="code" href="a00198.html#gaf2a0323dbf6c6fb3f37b445aa899c1c7" title="Returns pitch value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees ot...">pitch</a>(</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  valType <a class="code" href="a00198.html#gaac012c1a6bc37ce07a87745d9c596eed" title="Returns yaw value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees othe...">yaw</a>(</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> </div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  detail::tvec3<valType> <a class="code" href="a00153.html#gaa53e0e8933e176c6207720433fb8dd2b" title="Returns euler angles, yitch as x, yaw as y, roll as z.">eulerAngles</a>(</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> </div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00177"></a><span class="lineno"><a class="code" href="a00198.html#gaae1a23ba337628402dbe68d6567a9444"> 177</a></span>  detail::tmat3x3<valType> <a class="code" href="a00198.html#gaae1a23ba337628402dbe68d6567a9444" title="Converts a quaternion to a 3 * 3 matrix.">toMat3</a>(</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  detail::tquat<valType> <span class="keyword">const</span> & x){<span class="keywordflow">return</span> <a class="code" href="a00153.html#gae04ce320008c9bec0037b4ba21853cb5" title="Converts a quaternion to a 3 * 3 matrix.">mat3_cast</a>(x);}</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> </div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00184"></a><span class="lineno"><a class="code" href="a00198.html#ga14c3426d79fe82b07cd1f3610a18d9f5"> 184</a></span>  detail::tmat4x4<valType> <a class="code" href="a00198.html#ga14c3426d79fe82b07cd1f3610a18d9f5" title="Converts a quaternion to a 4 * 4 matrix.">toMat4</a>(</div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  detail::tquat<valType> <span class="keyword">const</span> & x){<span class="keywordflow">return</span> <a class="code" href="a00153.html#ga8c376eb15971eb52d85df5ee26825627" title="Converts a quaternion to a 4 * 4 matrix.">mat4_cast</a>(x);}</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> </div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00191"></a><span class="lineno"><a class="code" href="a00198.html#ga70cb5b2da64a17632dbf151dcfec0150"> 191</a></span>  detail::tquat<valType> <a class="code" href="a00198.html#ga70cb5b2da64a17632dbf151dcfec0150" title="Converts a 3 * 3 matrix to a quaternion.">toQuat</a>(</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  detail::tmat3x3<valType> <span class="keyword">const</span> & x){<span class="keywordflow">return</span> <a class="code" href="a00153.html#ga4d37447d81ceade1d10d68c995a4d881" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(x);}</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> </div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00198"></a><span class="lineno"><a class="code" href="a00198.html#ga25b6237ccb6c4a69d57a181aac99aa43"> 198</a></span>  detail::tquat<valType> <a class="code" href="a00198.html#ga70cb5b2da64a17632dbf151dcfec0150" title="Converts a 3 * 3 matrix to a quaternion.">toQuat</a>(</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  detail::tmat4x4<valType> <span class="keyword">const</span> & x){<span class="keywordflow">return</span> <a class="code" href="a00153.html#ga4d37447d81ceade1d10d68c995a4d881" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(x);}</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> </div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  detail::tquat<T> <a class="code" href="a00198.html#gae2cb4ac4676a57fb6db64aa515e608ab" title="Quaternion interpolation using the rotation short path.">shortMix</a>(</div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  detail::tquat<T> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  detail::tquat<T> <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> </div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  detail::tquat<T> <a class="code" href="a00198.html#ga804e80b331a83eed2ed71a5c985593cd" title="Quaternion normalized linear interpolation.">fastMix</a>(</div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  detail::tquat<T> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  detail::tquat<T> <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> }<span class="comment">//namespace glm</span></div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> </div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="preprocessor">#include "quaternion.inl"</span></div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> </div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="preprocessor">#endif//GLM_GTX_quaternion</span></div>
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