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boost/libs/qvm/doc/boost_qvm_quat_operations_hpp.html
Edouard DUPIN a97e9ae7d4 [DEV] add v1.66.0
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<h1>QVM: Quaternions, Vectors, Matrices</h1>
</div>
<!-- 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>boost/qvm/quat_operations.hpp</h3>
</div>
<p>This header defines all available function overloads that operate on quaternion objects.</p>
<h3>Synopsis:</h3>
<div class="RenoIncludeDIV"><p><span class="RenoEscape">&#35;<!--<wiki>`&#35;</wiki>--></span>include &lt;<span class="RenoLink">boost/qvm/quat_operations.hpp</span>&gt;</p>
<pre>namespace boost
{
namespace <span class="RenoLink"><a href="qvm.html">qvm</a></span>
{
<span class="RenoIncludeSPAN"> <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
A &amp; <span class="RenoLink"><a href="assign_quat_quat_.html">assign</a></span>( A &amp; a, B const &amp; b );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;R&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class R,class A&gt;
R <span class="RenoLink"><a href="convert_to_quat_.html">convert_to</a></span>( A const &amp; a );
//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;R&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp;
// <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>==3 &amp;&amp; <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>==3
template &lt;class R,class A&gt;
R <span class="RenoLink"><a href="convert_to_quat_.html">convert_to</a></span>( A const &amp; m );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
A &amp; <span class="RenoLink"><a href="operator_sub_eq_quat_quat_.html">operator-=</a></span>( A &amp; a, B const &amp; b );</span>
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template &lt;class A&gt;
typename <span class="RenoLink"><a href="deduce_quat.html">deduce_quat</a></span>&lt;A&gt;::type
<span class="RenoLink"><a href="operator_minus_quat_.html">operator-</a></span>( A const &amp; a );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value &amp;&amp;
template &lt;class A,class B&gt;
typename <span class="RenoLink"><a href="deduce_quat2.html">deduce_quat2</a></span>&lt;A,B&gt;::type
<span class="RenoLink"><a href="operator_minus_quat_quat_.html">operator-</a></span>( A const &amp; a, B const &amp; b );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
A &amp; <span class="RenoLink"><a href="operator_add_quat_quat_.html">operator+=</a></span>( A &amp; a, B const &amp; b );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value &amp;&amp;
template &lt;class A,class B&gt;
typename <span class="RenoLink"><a href="deduce_quat2.html">deduce_quat2</a></span>&lt;A,B&gt;::type
<span class="RenoLink"><a href="operator_plus_quat_quat_.html">operator+</a></span>( A const &amp; a, B const &amp; b );</span>
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template &lt;class A,class B&gt;
A &amp; <span class="RenoLink"><a href="operator_div_eq_quat_scalar_.html">operator/=</a></span>( A &amp; a, B b );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
typename <span class="RenoLink"><a href="deduce_quat.html">deduce_quat</a></span>&lt;A&gt;::type
<span class="RenoLink"><a href="operator_over_quat_scalar_.html">operator/</a></span>( A const &amp; a, B b );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
A &amp; <span class="RenoLink"><a href="operator_mul_eq_quat_quat_.html">operator*=</a></span>( A &amp; a, B const &amp; b );</span>
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template &lt;class A,class B&gt;
A &amp; <span class="RenoLink"><a href="operator_mul_eq_quat_scalar_.html">operator*=</a></span>( A &amp; a, B b );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
typename <span class="RenoLink"><a href="deduce_quat2.html">deduce_quat2</a></span>&lt;A,B&gt;::type
<span class="RenoLink"><a href="operator_times_quat_quat_.html">operator*</a></span>( A const &amp; a, B const &amp; b );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
typename <span class="RenoLink"><a href="deduce_quat.html">deduce_quat</a></span>&lt;A&gt;::type
<span class="RenoLink"><a href="operator_times_quat_scalar_.html">operator*</a></span>( A const &amp; a, B b );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
bool <span class="RenoLink"><a href="operator_eq_quat_quat_.html">operator==</a></span>( A const &amp; a, B const &amp; b );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
bool <span class="RenoLink"><a href="operator_not_eq_quat_quat_.html">operator!=</a></span>( A const &amp; a, B const &amp; b );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B,class Cmp&gt;
bool <span class="RenoLink"><a href="cmp_quat_quat_.html">cmp</a></span>( A const &amp; a, B const &amp; b, Cmp pred );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
typename <span class="RenoLink"><a href="quat_traits.html">quat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span>
<span class="RenoLink"><a href="mag_sqr_quat_.html">mag_sqr</a></span>( A const &amp; a );</span>
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template &lt;class A&gt;
typename <span class="RenoLink"><a href="quat_traits.html">quat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span>
<span class="RenoLink"><a href="mag_quat_.html">mag</a></span>( A const &amp; a );</span>
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template &lt;class A&gt;
typename <span class="RenoLink"><a href="deduce_quat.html">deduce_quat</a></span>&lt;A&gt;::type
<span class="RenoLink"><a href="normalized_quat_.html">normalized</a></span>( A const &amp; a );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
void <span class="RenoLink"><a href="normalize_quat_.html">normalize</a></span>( A &amp; a );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value
template &lt;class A,class B&gt;
typename <span class="RenoLink"><a href="deduce_scalar.html">deduce_scalar</a></span>&lt;A,B&gt;::type
<span class="RenoLink"><a href="dot_quat_quat_.html">dot</a></span>( A const &amp; a, B const &amp; b );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
typename <span class="RenoLink"><a href="deduce_quat.html">deduce_quat</a></span>&lt;A&gt;::type
<span class="RenoLink"><a href="conjugate.html">conjugate</a></span>( A const &amp; a );</span>
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template &lt;class A&gt;
typename <span class="RenoLink"><a href="deduce_quat.html">deduce_quat</a></span>&lt;A&gt;::type
<span class="RenoLink"><a href="inverse_quat_.html">inverse</a></span>( A const &amp; a );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;B&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_scalar.html">is_scalar</a></span>&lt;C&gt;
template &lt;class A,class B,class C&gt;
typename <span class="RenoLink"><a href="deduce_quat2.html">deduce_quat2</a></span>&lt;A,B&gt; &gt;::type
<span class="RenoLink"><a href="slerp.html">slerp</a></span>( A const &amp; a, B const &amp; b, C c );</span>
<span class="RenoIncludeSPAN">template &lt;class T&gt;
-unspecified-return-type- <span class="RenoLink"><a href="zero_quat.html">zero_quat</a></span>();</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
void <span class="RenoLink"><a href="set_zero_quat_.html">set_zero</a></span>( A &amp; a );</span>
<span class="RenoIncludeSPAN">template &lt;class S&gt;
-unspecified-return-type- <span class="RenoLink"><a href="identity_quat.html">identity_quat</a></span>();</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
void <span class="RenoLink"><a href="set_identity_quat_.html">set_identity</a></span>( A &amp; a );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
// <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="vec_traits_Vector_dim.html">dim</a></span>==3
template &lt;class A&gt;
-unspecified-return-type- <span class="RenoLink"><a href="rot_quat.html">rot_quat</a></span>( A const &amp; axis, typename <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="vec_traits_V_scalar_type.html">scalar_type</a></span> angle );</span>
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// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp;
// <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;B&gt;::value &amp;&amp; <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="vec_traits_Vector_dim.html">dim</a></span>==3
template &lt;class A&gt;
void <span class="RenoLink"><a href="set_rot_quat_vec_scalar_.html">set_rot</a></span>( A &amp; a, B const &amp; axis, typename <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="vec_traits_V_scalar_type.html">scalar_type</a></span> angle );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
// <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value &amp;&amp;
// <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;B&gt;::value &amp;&amp; <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="vec_traits_Vector_dim.html">dim</a></span>==3
template &lt;class A,class B&gt;
void <span class="RenoLink"><a href="rotate_quat_vec_scalar_.html">rotate</a></span>( A &amp; a, B const &amp; axis, typename <span class="RenoLink"><a href="quat_traits.html">quat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> angle );</span>
<span class="RenoIncludeSPAN">template &lt;class Angle&gt;
-unspecified-return-type- <span class="RenoLink"><a href="rotx_quat_scalar_.html">rotx_quat</a></span>( Angle const &amp; angle );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
void <span class="RenoLink"><a href="set_rotx_quat_scalar_.html">set_rotx</a></span>( A &amp; a, typename <span class="RenoLink"><a href="quat_traits.html">quat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> angle );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
void <span class="RenoLink"><a href="rotate_x_quat_scalar_.html">rotate_x</a></span>( A &amp; a, typename <span class="RenoLink"><a href="quat_traits.html">quat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> angle );</span>
<span class="RenoIncludeSPAN">template &lt;class Angle&gt;
-unspecified-return-type- <span class="RenoLink"><a href="roty_quat_scalar_.html">roty_quat</a></span>( Angle const &amp; angle );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
void <span class="RenoLink"><a href="set_rotz_quat_scalar_.html">set_rotz</a></span>( A &amp; a, typename <span class="RenoLink"><a href="quat_traits.html">quat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> angle );</span>
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template &lt;class A&gt;
void <span class="RenoLink"><a href="rotate_y_quat_scalar_.html">rotate_y</a></span>( A &amp; a, typename <span class="RenoLink"><a href="quat_traits.html">quat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> angle );</span>
<span class="RenoIncludeSPAN">template &lt;class Angle&gt;
-unspecified-return-type- <span class="RenoLink"><a href="rotz_quat_scalar_.html">rotz_quat</a></span>( Angle const &amp; angle );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
void <span class="RenoLink"><a href="set_rotz_quat_scalar_.html">set_rotz</a></span>( A &amp; a, typename <span class="RenoLink"><a href="quat_traits.html">quat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> angle );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
void <span class="RenoLink"><a href="rotate_z_quat_scalar_.html">rotate_z</a></span>( A &amp; a, typename <span class="RenoLink"><a href="quat_traits.html">quat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="quat_traits_Q_scalar_type.html">scalar_type</a></span> angle );</span>
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template &lt;class Scalar,class A&gt;
-unspecified-return_type- <span class="RenoLink"><a href="scalar_cast_quat_.html">scalar_cast</a></span>( A const &amp; a );</span>
<span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_quat.html">is_quat</a></span>&lt;A&gt;::value
template &lt;class A&gt;
-unspecified-return-type- <span class="RenoLink"><a href="qref.html">qref</a></span>( A &amp; a );</span></span>
}
}</pre>
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