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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>boost/qvm/vec_operations.hpp</h3>
20</div>
21<p>This header defines all available function overloads that operate on vector objects.</p>
22<h3>Synopsis:</h3>
23<div class="RenoIncludeDIV"><p><span class="RenoEscape">&#35;<!--<wiki>`&#35;</wiki>--></span>include &lt;<span class="RenoLink">boost/qvm/vec_operations.hpp</span>&gt;</p>
24<pre>namespace boost
25{
26 namespace <span class="RenoLink"><a href="qvm.html">qvm</a></span>
27 {
28<span class="RenoIncludeSPAN"> <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
29 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
30 // <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>==<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>
31 template &lt;class A,class B&gt;
32 A &amp; <span class="RenoLink"><a href="assign_vec_vec_.html">assign</a></span>( A &amp; a, B const &amp; b );</span>
33
34 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
35 // <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;R&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value &amp;&amp;
36 // <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span>&lt;R&gt;::<span class="RenoLink"><a href="vec_traits_Vector_dim.html">dim</a></span>==<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>
37 template &lt;class R,class A&gt;
38 R <span class="RenoLink"><a href="convert_to_vec_.html">convert_to</a></span>( A const &amp; a );</span>
39
40 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
41 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
42 // <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>==<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>
43 template &lt;class A,class B&gt;
44 A &amp; <span class="RenoLink"><a href="operator_sub_eq_vec_vec_.html">operator-=</a></span>( A &amp; a, B const &amp; b );</span>
45
46 <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
47 template &lt;class A&gt;
48 typename <span class="RenoLink"><a href="deduce_vec.html">deduce_vec</a></span>&lt;A&gt;::type
49 <span class="RenoLink"><a href="operator_minus_vec_.html">operator-</a></span>( A const &amp; a );</span>
50
51 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
52 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
53 // <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>==<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>
54 template &lt;class A,class B&gt;
55 typename <span class="RenoLink"><a href="deduce_vec2.html">deduce_vec2</a></span>&lt;A,B,<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>&gt;::type
56 <span class="RenoLink"><a href="operator_minus_vec_vec_.html">operator-</a></span>( A const &amp; a, B const &amp; b );</span>
57
58 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
59 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
60 // <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>==<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>
61 template &lt;class A,class B&gt;
62 A &amp; <span class="RenoLink"><a href="operator_add_vec_vec_.html">operator+=</a></span>( A &amp; a, B const &amp; b );</span>
63
64 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
65 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
66 // <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>==<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>
67 template &lt;class A,class B&gt;
68 typename <span class="RenoLink"><a href="deduce_vec2.html">deduce_vec2</a></span>&lt;A,B,<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>&gt;::type
69 <span class="RenoLink"><a href="operator_plus_vec_vec_.html">operator+</a></span>( A const &amp; a, B const &amp; b );</span>
70
71 <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="is_scalar.html">is_scalar</a></span>&lt;B&gt;::value
72 template &lt;class A,class B&gt;
73 A &amp; <span class="RenoLink"><a href="operator_div_eq_vec_scalar_.html">operator/=</a></span>( A &amp; a, B b );</span>
74
75 <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="is_scalar.html">is_scalar</a></span>&lt;B&gt;::value
76 template &lt;class A,class B&gt;
77 typename <span class="RenoLink"><a href="deduce_vec.html">deduce_vec</a></span>&lt;A&gt;::type
78 <span class="RenoLink"><a href="operator_over_vec_scalar_.html">operator/</a></span>( A const &amp; a, B b );</span>
79
80 <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="is_scalar.html">is_scalar</a></span>&lt;B&gt;::value
81 template &lt;class A,class B&gt;
82 A &amp; <span class="RenoLink"><a href="operator_mul_eq_vec_scalar_.html">operator*=</a></span>( A &amp; a, B b );</span>
83
84 <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="is_scalar.html">is_scalar</a></span>&lt;B&gt;::value
85 template &lt;class A&gt;
86 typename <span class="RenoLink"><a href="deduce_vec.html">deduce_vec</a></span>&lt;A&gt;::type
87 <span class="RenoLink"><a href="operator_times_vec_scalar_.html">operator*</a></span>( A const &amp; a, B b );</span>
88
89 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
90 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
91 // <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>==<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>
92 template &lt;class A,class B&gt;
93 bool <span class="RenoLink"><a href="operator_eq_vec_vec_.html">operator==</a></span>( A const &amp; a, B const &amp; b );</span>
94
95 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
96 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
97 // <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>==<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>
98 template &lt;class A,class B&gt;
99 bool <span class="RenoLink"><a href="operator_not_eq_vec_vec_.html">operator!=</a></span>( A const &amp; a, B const &amp; b );</span>
100
101 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
102 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
103 // <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>==<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>
104 template &lt;class A,class B,class Cmp&gt;
105 bool <span class="RenoLink"><a href="cmp_mat_mat_.html">cmp</a></span>( A const &amp; a, B const &amp; b, Cmp pred );</span>
106
107 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
108 // <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value
109 template &lt;class A&gt;
110 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>
111 <span class="RenoLink"><a href="mag_sqr_vec_.html">mag_sqr</a></span>( A const &amp; a );</span>
112
113 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
114 // <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value
115 template &lt;class A&gt;
116 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>
117 <span class="RenoLink"><a href="mag_vec_.html">mag</a></span>( A const &amp; a );</span>
118
119 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
120 // <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value
121 template &lt;class A&gt;
122 typename <span class="RenoLink"><a href="deduce_vec.html">deduce_vec</a></span>&lt;A&gt;::type
123 <span class="RenoLink"><a href="normalized_vec_.html">normalized</a></span>( A const &amp; a );</span>
124
125 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
126 // <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value
127 template &lt;class A&gt;
128 void <span class="RenoLink"><a href="normalize_vec_.html">normalize</a></span>( A &amp; a );</span>
129
130 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
131 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
132 // <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>==<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>
133 template &lt;class A,class B&gt;
134 typename <span class="RenoLink"><a href="deduce_scalar.html">deduce_scalar</a></span>&lt;A,B&gt;::type
135 <span class="RenoLink"><a href="dot_vec_vec_.html">dot</a></span>( A const &amp; a, B const &amp; b );</span>
136
137 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
138 // <span class="RenoLink"><a href="is_vec.html">is_vec</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;
139 // <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 &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
140 template &lt;class A,class B&gt;
141 typename <span class="RenoLink"><a href="deduce_vec2.html">deduce_vec2</a></span>&lt;A,B,3&gt;::type
142 <span class="RenoLink"><a href="cross.html">cross</a></span>( A const &amp; a, B const &amp; b );</span>
143
144 <span class="RenoIncludeSPAN">template &lt;class T,int S&gt;
145 -unspecified-return-type- <span class="RenoLink"><a href="zero_vec.html">zero_vec</a></span>();</span>
146
147 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
148 // <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value
149 template &lt;class A&gt;
150 void <span class="RenoLink"><a href="set_zero_vec_.html">set_zero</a></span>( A &amp; a );</span>
151
152 <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
153 template &lt;class A&gt;
154 -unspecified-return-type- <span class="RenoLink"><a href="vref.html">vref</a></span>( A &amp; a );</span>
155
156 <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
157 template &lt;class Scalar,class A&gt;
158 -unspecified-return_type- <span class="RenoLink"><a href="scalar_cast_vec_.html">scalar_cast</a></span>( A const &amp; a );</span></span>
159 }
160}</pre>
161</div></div><div class="RenoAutoDIV"><div class="RenoHR"><hr/></div>
162See also: <span class="RenoPageList"><a href="assign_vec_vec_.html">assign(vec,vec)</a>&nbsp;| <a href="boost_qvm_operations_hpp.html">boost/qvm/operations.hpp</a>&nbsp;| <a href="boost_qvm_vec_operations2_hpp.html">boost/qvm/vec_operations2.hpp</a>&nbsp;| <a href="boost_qvm_vec_operations3_hpp.html">boost/qvm/vec_operations3.hpp</a>&nbsp;| <a href="boost_qvm_vec_operations4_hpp.html">boost/qvm/vec_operations4.hpp</a>&nbsp;| <a href="code_generator.html">Code Generator</a>&nbsp;| <a href="cmp_vec_vec_.html">cmp(vec,vec)</a>&nbsp;| <a href="convert_to_vec_.html">convert_to(vec)</a>&nbsp;| <a href="cross.html">cross</a>&nbsp;| <a href="dot_vec_vec_.html">dot(vec,vec)</a>&nbsp;| <a href="mag_vec_.html">mag(vec)</a>&nbsp;| <a href="mag_sqr_vec_.html">mag_sqr(vec)</a>&nbsp;| <a href="normalize_vec_.html">normalize(vec)</a>&nbsp;| <a href="normalized_vec_.html">normalized(vec)</a>&nbsp;| <a href="operator_not_eq_vec_vec_.html">operator!=(vec,vec)</a>&nbsp;| <a href="operator_times_vec_scalar_.html">operator*(vec,scalar)</a>&nbsp;| <a href="operator_mul_eq_vec_scalar_.html">operator*=(vec,scalar)</a>&nbsp;| <a href="operator_plus_vec_vec_.html">operator+(vec,vec)</a>&nbsp;| <a href="operator_add_vec_vec_.html">operator+=(vec,vec)</a>&nbsp;| <a href="operator_minus_vec_.html">operator-(vec)</a>&nbsp;| <a href="operator_minus_vec_vec_.html">operator-(vec,vec)</a>&nbsp;| <a href="operator_sub_eq_vec_vec_.html">operator-=(vec,vec)</a>&nbsp;| <a href="operator_over_vec_scalar_.html">operator/(vec,scalar)</a>&nbsp;| <a href="operator_div_eq_vec_scalar_.html">operator/=(vec,scalar)</a>&nbsp;| <a href="operator_eq_vec_vec_.html">operator==(vec,vec)</a>&nbsp;| <a href="scalar_cast_vec_.html">scalar_cast(vec)</a>&nbsp;| <a href="set_zero_vec_.html">set_zero(vec)</a>&nbsp;| <a href="vref.html">vref</a>&nbsp;| <a href="zero_vec.html">zero_vec</a></span>
163</div>
164<!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->
165<!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->
166<!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
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171<small>Copyright (c) 2008-2016 by Emil Dotchevski and Reverge Studios, Inc.<br/>
172Distributed under the <a href="http://www.boost.org/LICENSE_1_0.txt">Boost Software License, Version 1.0</a>.</small>
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