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14<h1>QVM: Quaternions, Vectors, Matrices</h1>
15</div>
16<!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->
17<!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->
18<!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
19<div class="RenoIncludeDIV"><div class="RenoAutoDIV"><h3>quat_traits</h3>
20</div>
21<div class="RenoIncludeDIV"><p><span class="RenoEscape">&#35;<!--<wiki>`&#35;</wiki>--></span>include &lt;<span class="RenoLink"><a href="boost_qvm_quat_traits_hpp.html">boost/qvm/quat_traits.hpp</a></span>&gt;</p>
22<pre>namespace
23boost
24{
25 namespace
26 <span class="RenoLink"><a href="qvm.html">qvm</a></span>
27 {
28<span class="RenoIncludeSPAN"> template &lt;class Q&gt;
29 struct <span class="RenoLink">quat_traits</span>
30 {
31 /*main template members unspecified*/
32 };
33
34 /*
35 User-defined (possibly partial) specializations:
36
37 template &lt;&gt;
38 struct <span class="RenoLink">quat_traits</span>&lt;Q&gt;
39 {
40 <span class="RenoIncludeSPAN"> typedef /*user-defined*/ <span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span>;</span>
41
42 <span class="RenoIncludeSPAN"> template &lt;int I&gt; static inline <span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> <span class="RenoLink"><a href="quat_traits_Q_read_element.html">read_element</a></span>( Quaternion const &amp; q );</span>
43 <span class="RenoIncludeSPAN"> template &lt;int I&gt; static inline <span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> &amp; <span class="RenoLink"><a href="quat_traits_Q_write_element.html">write_element</a></span>( Quaternion &amp; q );</span>
44 };
45 */</span>
46 }
47}</pre>
48</div><p>The <i><span class="RenoLink">quat_traits</span></i> template must be specialized for (user-defined) quaternion types in order to enable quaternion operations defined in Boost QVM headers for objects of those types.</p>
49<p><i>Note: quaternion types are not required to be copyable.</i></p>
50<p>The main <i><span class="RenoLink">quat_traits</span></i> template members are not specified. Valid specializations are required to define the following members:</p>
51<div><ul><li> <i><span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span></i>: the expression <i><span class="RenoLink">quat_traits</span>&lt;Quaternion&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span></i> must be a value type which satisfies the <span class="RenoLink"><a href="scalar_requirements.html">scalar requirements</a></span>.</li>
52</ul></div>
53<p>In addition, valid specializations of the <i><span class="RenoLink">quat_traits</span></i> template must define at least one of the following access functions as static members, where <i>q</i> is an object of type Quaternion, and <i>I</i> is compile-time integer constant:</p>
54<div><ul><li> <i><span class="RenoLink"><a href="quat_traits_Q_read_element.html">read_element</a></span></i>: the expression <i><span class="RenoLink">quat_traits</span>&lt;Quaternion&gt;::<span class="RenoLink"><a href="quat_traits_Q_read_element.html">read_element</a></span>&lt;I&gt;(q)</i> returns either a copy of or a const reference to the <i>I</i>-th element of <i>q</i>.</li>
55<li> <i><span class="RenoLink"><a href="quat_traits_Q_write_element.html">write_element</a></span></i>: the expression <i><span class="RenoLink">quat_traits</span>&lt;Quaternion&gt;::<span class="RenoLink"><a href="quat_traits_Q_write_element.html">write_element</a></span>&lt;I&gt;(q)</i> returns mutable reference to the <i>I</i>-th element of <i>q</i>.</li>
56</ul></div>
57<div class="RenoIncludeDIV"><p><b>Note:</b> For the quaternion <i>a + bi + cj + dk</i>, the elements are assumed to be in the following order: <i>a</i>, <i>b</i>, <i>c</i>, <i>d</i>; that is, <i>I</i>=<i>0</i>/<i>1</i>/<i>2</i>/<i>3</i> would access <i>a</i>/<i>b</i>/<i>c</i>/<i>d</i>.</p>
58</div><p>It is illegal to call any of the above functions unless <i><span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;Quaternion&gt;::value</i>' is true. Even then, quaternion types are allowed to define only a subset of the access functions.</p>
59<p>Below is an example of a user-defined quaternion type, and its corresponding specialization of the <i><span class="RenoLink">quat_traits</span></i> template:</p>
60<div class="RenoIncludeDIV"><pre>#include &lt;<span class="RenoLink"><a href="boost_qvm_quat_traits_hpp.html">boost/qvm/quat_traits.hpp</a></span>&gt;
61
62struct fquat { float a[4]; };
63
64namespace boost
65{
66 namespace <span class="RenoLink"><a href="qvm.html">qvm</a></span>
67 {
68 template &lt;&gt;
69 struct
70 <span class="RenoLink">quat_traits</span>&lt;fquat&gt;
71 {
72 typedef float <span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span>;
73
74 template &lt;int I&gt; static inline <span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> &amp; <span class="RenoLink"><a href="quat_traits_Q_write_element.html">write_element</a></span>( fquat &amp; q ) { return q.a[I]; }
75 template &lt;int I&gt; static inline <span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> <span class="RenoLink"><a href="quat_traits_Q_read_element.html">read_element</a></span>( fquat const &amp; q ) { return q.a[I]; }
76 };
77 }
78}</pre>
79</div></div><div class="RenoAutoDIV"><div class="RenoHR"><hr/></div>
80See also: <span class="RenoPageList"><a href="boost_qvm_quat_traits_hpp.html">boost/qvm/quat_traits.hpp</a>&nbsp;| <a href="boost_qvm_quat_traits_array_hpp.html">boost/qvm/quat_traits_array.hpp</a>&nbsp;| <a href="is_quat.html">is_quat</a>&nbsp;| <a href="mag_quat_.html">mag(quat)</a>&nbsp;| <a href="mag_sqr_quat_.html">mag_sqr(quat)</a>&nbsp;| <a href="normalize_quat_.html">normalize(quat)</a>&nbsp;| <a href="quat.html">quat</a>&nbsp;| <a href="quat_traits_Q_read_element.html">quat_traits&lt;Q&gt;::read_element</a>&nbsp;| <a href="quat_traits_Q_scalar_type.html">quat_traits&lt;Q&gt;::scalar_type</a>&nbsp;| <a href="quat_traits_Q_write_element.html">quat_traits&lt;Q&gt;::write_element</a>&nbsp;| <a href="rotate_quat_vec_scalar_.html">rotate(quat,vec,scalar)</a>&nbsp;| <a href="rotate_x_quat_scalar_.html">rotate_x(quat,scalar)</a>&nbsp;| <a href="rotate_y_quat_scalar_.html">rotate_y(quat,scalar)</a>&nbsp;| <a href="rotate_z_quat_scalar_.html">rotate_z(quat,scalar)</a>&nbsp;| <a href="scalar.html">scalar</a>&nbsp;| <a href="set_identity_quat_.html">set_identity(quat)</a>&nbsp;| <a href="set_rotx_quat_scalar_.html">set_rotx(quat,scalar)</a>&nbsp;| <a href="set_roty_quat_scalar_.html">set_roty(quat,scalar)</a>&nbsp;| <a href="set_rotz_quat_scalar_.html">set_rotz(quat,scalar)</a>&nbsp;| <a href="set_zero_quat_.html">set_zero(quat)</a>&nbsp;| <a href="view_proxy.html">View Proxy</a></span>
81</div>
82<!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->
83<!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->
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