boost/libs/qvm/doc/quat_traits.html
2018-01-12 21:47:58 +01:00

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<h1>QVM: Quaternions, Vectors, Matrices</h1>
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<!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->
<!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->
<!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<div class="RenoIncludeDIV"><div class="RenoAutoDIV"><h3>quat_traits</h3>
</div>
<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>
<pre>namespace
boost
{
namespace
<span class="RenoLink"><a href="qvm.html">qvm</a></span>
{
<span class="RenoIncludeSPAN"> template &lt;class Q&gt;
struct <span class="RenoLink">quat_traits</span>
{
/*main template members unspecified*/
};
/*
User-defined (possibly partial) specializations:
template &lt;&gt;
struct <span class="RenoLink">quat_traits</span>&lt;Q&gt;
{
<span class="RenoIncludeSPAN"> typedef /*user-defined*/ <span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span>;</span>
<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>
<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>
};
*/</span>
}
}</pre>
</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>
<p><i>Note: quaternion types are not required to be copyable.</i></p>
<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>
<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>
</ul></div>
<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>
<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>
<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>
</ul></div>
<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>
</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>
<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>
<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;
struct fquat { float a[4]; };
namespace boost
{
namespace <span class="RenoLink"><a href="qvm.html">qvm</a></span>
{
template &lt;&gt;
struct
<span class="RenoLink">quat_traits</span>&lt;fquat&gt;
{
typedef float <span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span>;
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]; }
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]; }
};
}
}</pre>
<p>Equivalently, using the <i><span class="RenoLink"><a href="quat_traits_defaults.html">quat_traits_defaults</a></span></i> template the above can be shortened to:</p>
<pre>namespace boost
{
namespace <span class="RenoLink"><a href="qvm.html">qvm</a></span>
{
template &lt;&gt;
struct
<span class="RenoLink">quat_traits</span>&lt;fquat&gt;: <span class="RenoLink"><a href="quat_traits_defaults.html">quat_traits_defaults</a></span>&lt;fquat,float&gt;
{
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]; }
};
}
}</pre>
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See 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="quat_traits_defaults.html">quat_traits_defaults</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>
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<!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->
<!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->
<!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
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<small>Copyright (c) 2008-2016 by Emil Dotchevski and Reverge Studios, Inc.<br/>
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