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Updated doxygen API doc

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Christophe Riccio
2016-11-13 00:39:32 +01:00
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<div class="title">dual_quaternion.hpp</div> </div>
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<a href="a00019.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment">// Dependency:</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &quot;../glm.hpp&quot;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &quot;../gtc/constants.hpp&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &quot;../gtc/quaternion.hpp&quot;</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_GTX_dual_quaternion 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="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P = defaultp&gt;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keyword">struct </span>tdualquat</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="comment">// -- Implementation detail --</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keyword">typedef</span> T value_type;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keyword">typedef</span> glm::tquat&lt;T, P&gt; part_type;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="comment">// -- Data --</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; glm::tquat&lt;T, P&gt; real, dual;</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">// -- Component accesses --</span></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">// Dependencies</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#include &quot;../detail/setup.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_GTC_constants 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="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="a00140.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> genType&gt;</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga2a1e57fc5592b69cfae84174cbfc9429">epsilon</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> genType&gt;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga788f5a421fc0f40a1296ebc094cbaa8a">zero</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> genType&gt;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga39c2fb227631ca25894326529bdd1ee5">one</a>();</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</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> genType&gt;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga94bafeb2a0f23ab6450fed1f98ee4e45">pi</a>();</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="keyword">typedef</span> length_t length_type;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR length_type <a class="code" href="a00148.html#ga18d45e3d4c7705e67ccfabd99e521604">length</a>() <span class="keyword">const</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; GLM_FUNC_DECL part_type &amp; operator[](length_type i);</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; GLM_FUNC_DECL part_type <span class="keyword">const</span> &amp; operator[](length_type i) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="comment">// -- Implicit basic constructors --</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR tdualquat() GLM_DEFAULT_CTOR;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat&lt;T, P&gt; const &amp; d) GLM_DEFAULT;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; template &lt;precision Q&gt;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat&lt;T, Q&gt; const &amp; d);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="comment">// -- Explicit basic constructors --</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR_CTOR explicit tdualquat(ctor);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat&lt;T, P&gt; const &amp; real);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat&lt;T, P&gt; const &amp; <a class="code" href="a00224.html#ga49b4d082305cdfcfe0a5c184f684a902">orientation</a>, tvec3&lt;T, P&gt; const &amp; translation);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat&lt;T, P&gt; const &amp; real, tquat&lt;T, P&gt; const &amp; dual);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="comment">// -- Conversion constructors --</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; template &lt;typename U, precision Q&gt;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR GLM_EXPLICIT tdualquat(tdualquat&lt;U, Q&gt; const &amp; q);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; GLM_FUNC_DECL GLM_EXPLICIT tdualquat(tmat2x4&lt;T, P&gt; const &amp; holder_mat);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; GLM_FUNC_DECL GLM_EXPLICIT tdualquat(tmat3x4&lt;T, P&gt; const &amp; aug_mat);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="comment">// -- Unary arithmetic operators --</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; &amp; operator=(tdualquat&lt;T, P&gt; const &amp; m) GLM_DEFAULT;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; template &lt;typename U&gt;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; &amp; operator=(tdualquat&lt;U, P&gt; const &amp; m);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; template &lt;typename U&gt;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; &amp; operator*=(U s);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; template &lt;typename U&gt;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; &amp; operator/=(U s);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; };</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="comment">// -- Unary bit operators --</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; operator+(tdualquat&lt;T, P&gt; const &amp; q);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; operator-(tdualquat&lt;T, P&gt; const &amp; q);</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <span class="comment">// -- Binary operators --</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; operator+(tdualquat&lt;T, P&gt; const &amp; q, tdualquat&lt;T, P&gt; const &amp; p);</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; operator*(tdualquat&lt;T, P&gt; const &amp; q, tdualquat&lt;T, P&gt; const &amp; p);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; GLM_FUNC_DECL tvec3&lt;T, P&gt; operator*(tdualquat&lt;T, P&gt; const &amp; q, tvec3&lt;T, P&gt; const &amp; v);</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> genType&gt;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#gaa5276a4617566abcfe49286f40e3a256">two_pi</a>();</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <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; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga261380796b2cd496f68d2cf1d08b8eb9">root_pi</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; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga0c36b41d462e45641faf7d7938948bac">half_pi</a>();</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#gae94950df74b0ce382b1fc1d978ef7394">three_over_two_pi</a>();</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga3c9df42bd73c519a995c43f0f99e77e0">quarter_pi</a>();</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</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 GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga555150da2b06d23c8738981d5013e0eb">one_over_pi</a>();</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga7c922b427986cbb2e4c6ac69874eefbc">one_over_two_pi</a>();</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga74eadc8a211253079683219a3ea0462a">two_over_pi</a>();</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga753950e5140e4ea6a88e4a18ba61dc09">four_over_pi</a>();</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</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> genType&gt;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga5827301817640843cf02026a8d493894">two_over_root_pi</a>();</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga788fa23a0939bac4d1d0205fb4f35818">one_over_root_two</a>();</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga4e276cb823cc5e612d4f89ed99c75039">root_half_pi</a>();</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; GLM_FUNC_DECL tvec3&lt;T, P&gt; operator*(tvec3&lt;T, P&gt; const &amp; v, tdualquat&lt;T, P&gt; const &amp; q);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; GLM_FUNC_DECL tvec4&lt;T, P&gt; operator*(tdualquat&lt;T, P&gt; const &amp; q, tvec4&lt;T, P&gt; const &amp; v);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; GLM_FUNC_DECL tvec4&lt;T, P&gt; operator*(tvec4&lt;T, P&gt; const &amp; v, tdualquat&lt;T, P&gt; const &amp; q);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; operator*(tdualquat&lt;T, P&gt; const &amp; q, T const &amp; s);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; operator*(T const &amp; s, tdualquat&lt;T, P&gt; const &amp; q);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga2bcedc575039fe0cd765742f8bbb0bd3">root_two_pi</a>();</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</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> genType&gt;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga4129412e96b33707a77c1a07652e23e2">root_ln_four</a>();</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga4b7956eb6e2fbedfc7cf2e46e85c5139">e</a>();</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; operator/(tdualquat&lt;T, P&gt; const &amp; q, T const &amp; s);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="comment">// -- Boolean operators --</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#gad8fe2e6f90bce9d829e9723b649fbd42">euler</a>();</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; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; GLM_FUNC_DECL <span class="keywordtype">bool</span> operator==(tdualquat&lt;T, P&gt; const &amp; q1, tdualquat&lt;T, P&gt; const &amp; q2);</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; GLM_FUNC_DECL <span class="keywordtype">bool</span> operator!=(tdualquat&lt;T, P&gt; const &amp; q1, tdualquat&lt;T, P&gt; const &amp; q2);</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; <a class="code" href="a00189.html#ga495818aa48c23e9e730f87a3c337d1d5">normalize</a>(tdualquat&lt;T, P&gt; const &amp; q);</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; <a class="code" href="a00189.html#ga8039b88397ca09275be924a26a806a59">lerp</a>(tdualquat&lt;T, P&gt; const &amp; x, tdualquat&lt;T, P&gt; const &amp; y, T const &amp; a);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; <a class="code" href="a00189.html#ga2149d3cb8af04d9530de0cd16aa1aab2">inverse</a>(tdualquat&lt;T, P&gt; const &amp; q);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; GLM_FUNC_DECL tmat2x4&lt;T, P&gt; <a class="code" href="a00189.html#ga2d124748183e12db8288eeaca350298e">mat2x4_cast</a>(tdualquat&lt;T, P&gt; const &amp; x);</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> genType&gt;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga74e607d29020f100c0d0dc46ce2ca950">root_two</a>();</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga4f286be4abe88be1eed7d2a9f6cb193e">root_three</a>();</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#gae9ebbded75b53d4faeb1e4ef8b3347a2">root_five</a>();</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga24f4d27765678116f41a2f336ab7975c">ln_two</a>();</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#gaf97ebc6c059ffd788e6c4946f71ef66c">ln_ten</a>();</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</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 GLM_CONSTEXPR genType <a class="code" href="a00162.html#gaca94292c839ed31a405ab7a81ae7e850">ln_ln_two</a>();</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; GLM_FUNC_DECL tmat3x4&lt;T, P&gt; <a class="code" href="a00189.html#ga576745d979e3c079a64152490c816954">mat3x4_cast</a>(tdualquat&lt;T, P&gt; const &amp; 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; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; <a class="code" href="a00189.html#ga20eb5758beb73cc6dbc2d9104f03ec20">dualquat_cast</a>(tmat2x4&lt;T, P&gt; const &amp; x);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; template &lt;typename T, precision P&gt;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; GLM_FUNC_DECL tdualquat&lt;T, P&gt; <a class="code" href="a00189.html#ga20eb5758beb73cc6dbc2d9104f03ec20">dualquat_cast</a>(tmat3x4&lt;T, P&gt; const &amp; x);</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> genType&gt;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga3077c6311010a214b69ddc8214ec13b5">third</a>();</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;</div>
<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; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga9b4d2f4322edcf63a6737b92a29dd1f5">two_thirds</a>();</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> genType&gt;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR genType <a class="code" href="a00162.html#ga748cf8642830657c5b7eae04d0a80899">golden_ratio</a>();</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;} <span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;</div>
<div class="line"><a name="l00179"></a><span class="lineno"><a class="line" href="a00189.html#gade05d29ebd4deea0f883d0e1bb4169aa"> 179</a></span>&#160; typedef tdualquat&lt;<span class="keywordtype">float</span>, lowp&gt; <a class="code" href="a00189.html#gade05d29ebd4deea0f883d0e1bb4169aa">lowp_dualquat</a>;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno"><a class="line" href="a00189.html#gaa7aeb54c167712b38f2178a1be2360ad"> 184</a></span>&#160; typedef tdualquat&lt;<span class="keywordtype">float</span>, mediump&gt; <a class="code" href="a00189.html#gaa7aeb54c167712b38f2178a1be2360ad">mediump_dualquat</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"><a class="line" href="a00189.html#ga9ef5bf1da52a9d4932335a517086ceaf"> 189</a></span>&#160; typedef tdualquat&lt;<span class="keywordtype">float</span>, highp&gt; <a class="code" href="a00189.html#ga9ef5bf1da52a9d4932335a517086ceaf">highp_dualquat</a>;</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;</div>
<div class="line"><a name="l00195"></a><span class="lineno"><a class="line" href="a00189.html#gaa38f671be25a7f3b136a452a8bb42860"> 195</a></span>&#160; typedef tdualquat&lt;<span class="keywordtype">float</span>, lowp&gt; <a class="code" href="a00189.html#gaa38f671be25a7f3b136a452a8bb42860">lowp_fdualquat</a>;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160;</div>
<div class="line"><a name="l00200"></a><span class="lineno"><a class="line" href="a00189.html#ga4a6b594ff7e81150d8143001367a9431"> 200</a></span>&#160; typedef tdualquat&lt;<span class="keywordtype">float</span>, mediump&gt; <a class="code" href="a00189.html#ga4a6b594ff7e81150d8143001367a9431">mediump_fdualquat</a>;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;</div>
<div class="line"><a name="l00205"></a><span class="lineno"><a class="line" href="a00189.html#ga4c4e55e9c99dc57b299ed590968da564"> 205</a></span>&#160; typedef tdualquat&lt;<span class="keywordtype">float</span>, highp&gt; <a class="code" href="a00189.html#ga4c4e55e9c99dc57b299ed590968da564">highp_fdualquat</a>;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;</div>
<div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="a00189.html#gab4c5103338af3dac7e0fbc86895a3f1a"> 211</a></span>&#160; typedef tdualquat&lt;<span class="keywordtype">double</span>, lowp&gt; <a class="code" href="a00189.html#gab4c5103338af3dac7e0fbc86895a3f1a">lowp_ddualquat</a>;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;</div>
<div class="line"><a name="l00216"></a><span class="lineno"><a class="line" href="a00189.html#ga0fb11e48e2d16348ccb06a25213641b4"> 216</a></span>&#160; typedef tdualquat&lt;<span class="keywordtype">double</span>, mediump&gt; <a class="code" href="a00189.html#ga0fb11e48e2d16348ccb06a25213641b4">mediump_ddualquat</a>;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;</div>
<div class="line"><a name="l00221"></a><span class="lineno"><a class="line" href="a00189.html#ga8f67eafa7197d7a668dad5105a463d2a"> 221</a></span>&#160; typedef tdualquat&lt;<span class="keywordtype">double</span>, highp&gt; <a class="code" href="a00189.html#ga8f67eafa7197d7a668dad5105a463d2a">highp_ddualquat</a>;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160;<span class="preprocessor">#if(!defined(GLM_PRECISION_HIGHP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; <span class="keyword">typedef</span> highp_fdualquat <a class="code" href="a00189.html#gae93abee0c979902fbec6a7bee0f6fae1">dualquat</a>;</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;</div>
<div class="line"><a name="l00233"></a><span class="lineno"><a class="line" href="a00189.html#ga237c2b9b42c9a930e49de5840ae0f930"> 233</a></span>&#160; <span class="keyword">typedef</span> highp_fdualquat <a class="code" href="a00189.html#ga237c2b9b42c9a930e49de5840ae0f930">fdualquat</a>;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;<span class="preprocessor">#elif(defined(GLM_PRECISION_HIGHP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <span class="keyword">typedef</span> highp_fdualquat <a class="code" href="a00189.html#gae93abee0c979902fbec6a7bee0f6fae1">dualquat</a>;</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; <span class="keyword">typedef</span> highp_fdualquat <a class="code" href="a00189.html#ga237c2b9b42c9a930e49de5840ae0f930">fdualquat</a>;</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160;<span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) &amp;&amp; defined(GLM_PRECISION_MEDIUMP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <span class="keyword">typedef</span> mediump_fdualquat <a class="code" href="a00189.html#gae93abee0c979902fbec6a7bee0f6fae1">dualquat</a>;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; <span class="keyword">typedef</span> mediump_fdualquat <a class="code" href="a00189.html#ga237c2b9b42c9a930e49de5840ae0f930">fdualquat</a>;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160;<span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_FLOAT) &amp;&amp; defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; <span class="keyword">typedef</span> lowp_fdualquat <a class="code" href="a00189.html#gae93abee0c979902fbec6a7bee0f6fae1">dualquat</a>;</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <span class="keyword">typedef</span> lowp_fdualquat <a class="code" href="a00189.html#ga237c2b9b42c9a930e49de5840ae0f930">fdualquat</a>;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;<span class="preprocessor"># error &quot;GLM error: multiple default precision requested for single-precision floating-point types&quot;</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160;<span class="preprocessor">#if(!defined(GLM_PRECISION_HIGHP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; <span class="keyword">typedef</span> highp_ddualquat <a class="code" href="a00189.html#ga3d71f98d84ba59dfe4e369fde4714cd6">ddualquat</a>;</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160;<span class="preprocessor">#elif(defined(GLM_PRECISION_HIGHP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="keyword">typedef</span> highp_ddualquat <a class="code" href="a00189.html#ga3d71f98d84ba59dfe4e369fde4714cd6">ddualquat</a>;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;<span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) &amp;&amp; defined(GLM_PRECISION_MEDIUMP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; <span class="keyword">typedef</span> mediump_ddualquat <a class="code" href="a00189.html#ga3d71f98d84ba59dfe4e369fde4714cd6">ddualquat</a>;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_DOUBLE) &amp;&amp; defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <span class="keyword">typedef</span> lowp_ddualquat <a class="code" href="a00189.html#ga3d71f98d84ba59dfe4e369fde4714cd6">ddualquat</a>;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160;<span class="preprocessor"># error &quot;GLM error: Multiple default precision requested for double-precision floating-point types&quot;</span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160;} <span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160;<span class="preprocessor">#include &quot;dual_quaternion.inl&quot;</span></div>
<div class="ttc" id="a00224_html_ga49b4d082305cdfcfe0a5c184f684a902"><div class="ttname"><a href="a00224.html#ga49b4d082305cdfcfe0a5c184f684a902">glm::orientation</a></div><div class="ttdeci">GLM_FUNC_DECL tmat4x4&lt; T, P &gt; orientation(tvec3&lt; T, P &gt; const &amp;Normal, tvec3&lt; T, P &gt; const &amp;Up)</div><div class="ttdoc">Build a rotation matrix from a normal and a up vector. </div></div>
<div class="ttc" id="a00189_html_gaa38f671be25a7f3b136a452a8bb42860"><div class="ttname"><a href="a00189.html#gaa38f671be25a7f3b136a452a8bb42860">glm::lowp_fdualquat</a></div><div class="ttdeci">tdualquat&lt; float, lowp &gt; lowp_fdualquat</div><div class="ttdoc">Dual-quaternion of low single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00195">dual_quaternion.hpp:195</a></div></div>
<div class="ttc" id="a00189_html_ga20eb5758beb73cc6dbc2d9104f03ec20"><div class="ttname"><a href="a00189.html#ga20eb5758beb73cc6dbc2d9104f03ec20">glm::dualquat_cast</a></div><div class="ttdeci">GLM_FUNC_DECL tdualquat&lt; T, P &gt; dualquat_cast(tmat3x4&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a 3 * 4 matrix (augmented matrix rotation + translation) to a quaternion. </div></div>
<div class="ttc" id="a00189_html_ga237c2b9b42c9a930e49de5840ae0f930"><div class="ttname"><a href="a00189.html#ga237c2b9b42c9a930e49de5840ae0f930">glm::fdualquat</a></div><div class="ttdeci">highp_fdualquat fdualquat</div><div class="ttdoc">Dual-quaternion of single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00233">dual_quaternion.hpp:233</a></div></div>
<div class="ttc" id="a00189_html_ga0fb11e48e2d16348ccb06a25213641b4"><div class="ttname"><a href="a00189.html#ga0fb11e48e2d16348ccb06a25213641b4">glm::mediump_ddualquat</a></div><div class="ttdeci">tdualquat&lt; double, mediump &gt; mediump_ddualquat</div><div class="ttdoc">Dual-quaternion of medium double-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00216">dual_quaternion.hpp:216</a></div></div>
<div class="ttc" id="a00189_html_ga495818aa48c23e9e730f87a3c337d1d5"><div class="ttname"><a href="a00189.html#ga495818aa48c23e9e730f87a3c337d1d5">glm::normalize</a></div><div class="ttdeci">GLM_FUNC_DECL tdualquat&lt; T, P &gt; normalize(tdualquat&lt; T, P &gt; const &amp;q)</div><div class="ttdoc">Returns the normalized quaternion. </div></div>
<div class="ttc" id="a00189_html_ga4a6b594ff7e81150d8143001367a9431"><div class="ttname"><a href="a00189.html#ga4a6b594ff7e81150d8143001367a9431">glm::mediump_fdualquat</a></div><div class="ttdeci">tdualquat&lt; float, mediump &gt; mediump_fdualquat</div><div class="ttdoc">Dual-quaternion of medium single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00200">dual_quaternion.hpp:200</a></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="a00189_html_gab4c5103338af3dac7e0fbc86895a3f1a"><div class="ttname"><a href="a00189.html#gab4c5103338af3dac7e0fbc86895a3f1a">glm::lowp_ddualquat</a></div><div class="ttdeci">tdualquat&lt; double, lowp &gt; lowp_ddualquat</div><div class="ttdoc">Dual-quaternion of low double-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00211">dual_quaternion.hpp:211</a></div></div>
<div class="ttc" id="a00189_html_ga3d71f98d84ba59dfe4e369fde4714cd6"><div class="ttname"><a href="a00189.html#ga3d71f98d84ba59dfe4e369fde4714cd6">glm::ddualquat</a></div><div class="ttdeci">highp_ddualquat ddualquat</div><div class="ttdoc">Dual-quaternion of default double-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00252">dual_quaternion.hpp:252</a></div></div>
<div class="ttc" id="a00189_html_gae93abee0c979902fbec6a7bee0f6fae1"><div class="ttname"><a href="a00189.html#gae93abee0c979902fbec6a7bee0f6fae1">glm::dualquat</a></div><div class="ttdeci">highp_fdualquat dualquat</div><div class="ttdoc">Dual-quaternion of floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00228">dual_quaternion.hpp:228</a></div></div>
<div class="ttc" id="a00189_html_ga4c4e55e9c99dc57b299ed590968da564"><div class="ttname"><a href="a00189.html#ga4c4e55e9c99dc57b299ed590968da564">glm::highp_fdualquat</a></div><div class="ttdeci">tdualquat&lt; float, highp &gt; highp_fdualquat</div><div class="ttdoc">Dual-quaternion of high single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00205">dual_quaternion.hpp:205</a></div></div>
<div class="ttc" id="a00189_html_gaa7aeb54c167712b38f2178a1be2360ad"><div class="ttname"><a href="a00189.html#gaa7aeb54c167712b38f2178a1be2360ad">glm::mediump_dualquat</a></div><div class="ttdeci">tdualquat&lt; float, mediump &gt; mediump_dualquat</div><div class="ttdoc">Dual-quaternion of medium single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00184">dual_quaternion.hpp:184</a></div></div>
<div class="ttc" id="a00189_html_ga8039b88397ca09275be924a26a806a59"><div class="ttname"><a href="a00189.html#ga8039b88397ca09275be924a26a806a59">glm::lerp</a></div><div class="ttdeci">GLM_FUNC_DECL tdualquat&lt; T, P &gt; lerp(tdualquat&lt; T, P &gt; const &amp;x, tdualquat&lt; T, P &gt; const &amp;y, T const &amp;a)</div><div class="ttdoc">Returns the linear interpolation of two dual quaternion. </div></div>
<div class="ttc" id="a00189_html_ga576745d979e3c079a64152490c816954"><div class="ttname"><a href="a00189.html#ga576745d979e3c079a64152490c816954">glm::mat3x4_cast</a></div><div class="ttdeci">GLM_FUNC_DECL tmat3x4&lt; T, P &gt; mat3x4_cast(tdualquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 3 * 4 matrix. </div></div>
<div class="ttc" id="a00189_html_ga9ef5bf1da52a9d4932335a517086ceaf"><div class="ttname"><a href="a00189.html#ga9ef5bf1da52a9d4932335a517086ceaf">glm::highp_dualquat</a></div><div class="ttdeci">tdualquat&lt; float, highp &gt; highp_dualquat</div><div class="ttdoc">Dual-quaternion of high single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00189">dual_quaternion.hpp:189</a></div></div>
<div class="ttc" id="a00189_html_ga2d124748183e12db8288eeaca350298e"><div class="ttname"><a href="a00189.html#ga2d124748183e12db8288eeaca350298e">glm::mat2x4_cast</a></div><div class="ttdeci">GLM_FUNC_DECL tmat2x4&lt; T, P &gt; mat2x4_cast(tdualquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 2 * 4 matrix. </div></div>
<div class="ttc" id="a00189_html_gade05d29ebd4deea0f883d0e1bb4169aa"><div class="ttname"><a href="a00189.html#gade05d29ebd4deea0f883d0e1bb4169aa">glm::lowp_dualquat</a></div><div class="ttdeci">tdualquat&lt; float, lowp &gt; lowp_dualquat</div><div class="ttdoc">Dual-quaternion of low single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00179">dual_quaternion.hpp:179</a></div></div>
<div class="ttc" id="a00148_html_ga18d45e3d4c7705e67ccfabd99e521604"><div class="ttname"><a href="a00148.html#ga18d45e3d4c7705e67ccfabd99e521604">glm::length</a></div><div class="ttdeci">GLM_FUNC_DECL T length(vecType&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Returns the length of x, i.e., sqrt(x * x). </div></div>
<div class="ttc" id="a00189_html_ga2149d3cb8af04d9530de0cd16aa1aab2"><div class="ttname"><a href="a00189.html#ga2149d3cb8af04d9530de0cd16aa1aab2">glm::inverse</a></div><div class="ttdeci">GLM_FUNC_DECL tdualquat&lt; T, P &gt; inverse(tdualquat&lt; T, P &gt; const &amp;q)</div><div class="ttdoc">Returns the q inverse. </div></div>
<div class="ttc" id="a00189_html_ga8f67eafa7197d7a668dad5105a463d2a"><div class="ttname"><a href="a00189.html#ga8f67eafa7197d7a668dad5105a463d2a">glm::highp_ddualquat</a></div><div class="ttdeci">tdualquat&lt; double, highp &gt; highp_ddualquat</div><div class="ttdoc">Dual-quaternion of high double-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00019_source.html#l00221">dual_quaternion.hpp:221</a></div></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;<span class="preprocessor">#include &quot;constants.inl&quot;</span></div>
<div class="ttc" id="a00162_html_ga74e607d29020f100c0d0dc46ce2ca950"><div class="ttname"><a href="a00162.html#ga74e607d29020f100c0d0dc46ce2ca950">glm::root_two</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType root_two()</div><div class="ttdoc">Return sqrt(2). </div></div>
<div class="ttc" id="a00162_html_ga261380796b2cd496f68d2cf1d08b8eb9"><div class="ttname"><a href="a00162.html#ga261380796b2cd496f68d2cf1d08b8eb9">glm::root_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType root_pi()</div><div class="ttdoc">Return square root of pi. </div></div>
<div class="ttc" id="a00162_html_ga788f5a421fc0f40a1296ebc094cbaa8a"><div class="ttname"><a href="a00162.html#ga788f5a421fc0f40a1296ebc094cbaa8a">glm::zero</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType zero()</div><div class="ttdoc">Return 0. </div></div>
<div class="ttc" id="a00162_html_ga39c2fb227631ca25894326529bdd1ee5"><div class="ttname"><a href="a00162.html#ga39c2fb227631ca25894326529bdd1ee5">glm::one</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType one()</div><div class="ttdoc">Return 1. </div></div>
<div class="ttc" id="a00162_html_gad8fe2e6f90bce9d829e9723b649fbd42"><div class="ttname"><a href="a00162.html#gad8fe2e6f90bce9d829e9723b649fbd42">glm::euler</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType euler()</div><div class="ttdoc">Return Euler&#39;s constant. </div></div>
<div class="ttc" id="a00162_html_ga2a1e57fc5592b69cfae84174cbfc9429"><div class="ttname"><a href="a00162.html#ga2a1e57fc5592b69cfae84174cbfc9429">glm::epsilon</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType epsilon()</div><div class="ttdoc">Return the epsilon constant for floating point types. </div></div>
<div class="ttc" id="a00162_html_ga4b7956eb6e2fbedfc7cf2e46e85c5139"><div class="ttname"><a href="a00162.html#ga4b7956eb6e2fbedfc7cf2e46e85c5139">glm::e</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType e()</div><div class="ttdoc">Return e constant. </div></div>
<div class="ttc" id="a00162_html_ga5827301817640843cf02026a8d493894"><div class="ttname"><a href="a00162.html#ga5827301817640843cf02026a8d493894">glm::two_over_root_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType two_over_root_pi()</div><div class="ttdoc">Return 2 / sqrt(pi). </div></div>
<div class="ttc" id="a00162_html_ga4f286be4abe88be1eed7d2a9f6cb193e"><div class="ttname"><a href="a00162.html#ga4f286be4abe88be1eed7d2a9f6cb193e">glm::root_three</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType root_three()</div><div class="ttdoc">Return sqrt(3). </div></div>
<div class="ttc" id="a00162_html_gaf97ebc6c059ffd788e6c4946f71ef66c"><div class="ttname"><a href="a00162.html#gaf97ebc6c059ffd788e6c4946f71ef66c">glm::ln_ten</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType ln_ten()</div><div class="ttdoc">Return ln(10). </div></div>
<div class="ttc" id="a00162_html_ga3077c6311010a214b69ddc8214ec13b5"><div class="ttname"><a href="a00162.html#ga3077c6311010a214b69ddc8214ec13b5">glm::third</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType third()</div><div class="ttdoc">Return 1 / 3. </div></div>
<div class="ttc" id="a00162_html_ga24f4d27765678116f41a2f336ab7975c"><div class="ttname"><a href="a00162.html#ga24f4d27765678116f41a2f336ab7975c">glm::ln_two</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType ln_two()</div><div class="ttdoc">Return ln(2). </div></div>
<div class="ttc" id="a00162_html_ga788fa23a0939bac4d1d0205fb4f35818"><div class="ttname"><a href="a00162.html#ga788fa23a0939bac4d1d0205fb4f35818">glm::one_over_root_two</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType one_over_root_two()</div><div class="ttdoc">Return 1 / sqrt(2). </div></div>
<div class="ttc" id="a00162_html_gaca94292c839ed31a405ab7a81ae7e850"><div class="ttname"><a href="a00162.html#gaca94292c839ed31a405ab7a81ae7e850">glm::ln_ln_two</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType ln_ln_two()</div><div class="ttdoc">Return ln(ln(2)). </div></div>
<div class="ttc" id="a00162_html_gae94950df74b0ce382b1fc1d978ef7394"><div class="ttname"><a href="a00162.html#gae94950df74b0ce382b1fc1d978ef7394">glm::three_over_two_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType three_over_two_pi()</div><div class="ttdoc">Return pi / 2 * 3. </div></div>
<div class="ttc" id="a00162_html_ga0c36b41d462e45641faf7d7938948bac"><div class="ttname"><a href="a00162.html#ga0c36b41d462e45641faf7d7938948bac">glm::half_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType half_pi()</div><div class="ttdoc">Return pi / 2. </div></div>
<div class="ttc" id="a00162_html_ga7c922b427986cbb2e4c6ac69874eefbc"><div class="ttname"><a href="a00162.html#ga7c922b427986cbb2e4c6ac69874eefbc">glm::one_over_two_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType one_over_two_pi()</div><div class="ttdoc">Return 1 / (pi * 2). </div></div>
<div class="ttc" id="a00162_html_gae9ebbded75b53d4faeb1e4ef8b3347a2"><div class="ttname"><a href="a00162.html#gae9ebbded75b53d4faeb1e4ef8b3347a2">glm::root_five</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType root_five()</div><div class="ttdoc">Return sqrt(5). </div></div>
<div class="ttc" id="a00162_html_ga4e276cb823cc5e612d4f89ed99c75039"><div class="ttname"><a href="a00162.html#ga4e276cb823cc5e612d4f89ed99c75039">glm::root_half_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType root_half_pi()</div><div class="ttdoc">Return sqrt(pi / 2). </div></div>
<div class="ttc" id="a00162_html_ga2bcedc575039fe0cd765742f8bbb0bd3"><div class="ttname"><a href="a00162.html#ga2bcedc575039fe0cd765742f8bbb0bd3">glm::root_two_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType root_two_pi()</div><div class="ttdoc">Return sqrt(2 * pi). </div></div>
<div class="ttc" id="a00162_html_ga753950e5140e4ea6a88e4a18ba61dc09"><div class="ttname"><a href="a00162.html#ga753950e5140e4ea6a88e4a18ba61dc09">glm::four_over_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType four_over_pi()</div><div class="ttdoc">Return 4 / pi. </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>
<div class="ttc" id="a00162_html_ga4129412e96b33707a77c1a07652e23e2"><div class="ttname"><a href="a00162.html#ga4129412e96b33707a77c1a07652e23e2">glm::root_ln_four</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType root_ln_four()</div><div class="ttdoc">Return sqrt(ln(4)). </div></div>
<div class="ttc" id="a00162_html_ga555150da2b06d23c8738981d5013e0eb"><div class="ttname"><a href="a00162.html#ga555150da2b06d23c8738981d5013e0eb">glm::one_over_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType one_over_pi()</div><div class="ttdoc">Return 1 / pi. </div></div>
<div class="ttc" id="a00162_html_ga9b4d2f4322edcf63a6737b92a29dd1f5"><div class="ttname"><a href="a00162.html#ga9b4d2f4322edcf63a6737b92a29dd1f5">glm::two_thirds</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType two_thirds()</div><div class="ttdoc">Return 2 / 3. </div></div>
<div class="ttc" id="a00162_html_ga3c9df42bd73c519a995c43f0f99e77e0"><div class="ttname"><a href="a00162.html#ga3c9df42bd73c519a995c43f0f99e77e0">glm::quarter_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType quarter_pi()</div><div class="ttdoc">Return pi / 4. </div></div>
<div class="ttc" id="a00162_html_ga94bafeb2a0f23ab6450fed1f98ee4e45"><div class="ttname"><a href="a00162.html#ga94bafeb2a0f23ab6450fed1f98ee4e45">glm::pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType pi()</div><div class="ttdoc">Return the pi constant. </div></div>
<div class="ttc" id="a00162_html_ga74eadc8a211253079683219a3ea0462a"><div class="ttname"><a href="a00162.html#ga74eadc8a211253079683219a3ea0462a">glm::two_over_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType two_over_pi()</div><div class="ttdoc">Return 2 / pi. </div></div>
<div class="ttc" id="a00162_html_ga748cf8642830657c5b7eae04d0a80899"><div class="ttname"><a href="a00162.html#ga748cf8642830657c5b7eae04d0a80899">glm::golden_ratio</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType golden_ratio()</div><div class="ttdoc">Return the golden ratio constant. </div></div>
<div class="ttc" id="a00162_html_gaa5276a4617566abcfe49286f40e3a256"><div class="ttname"><a href="a00162.html#gaa5276a4617566abcfe49286f40e3a256">glm::two_pi</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR genType two_pi()</div><div class="ttdoc">Return pi * 2. </div></div>
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