Imported Upstream version 1.64.0
[platform/upstream/boost.git] / libs / qvm / doc / boost_qvm_vec_operations_hpp.html
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6         <title>boost/qvm/vec_operations.hpp</title>\r
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13 <div>\r
14 <h1>QVM: Quaternions, Vectors, Matrices</h1>\r
15 </div>\r
16 <!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->\r
17 <!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->\r
18 <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->\r
19 <div class="RenoIncludeDIV"><div class="RenoAutoDIV"><h3>boost/qvm/vec_operations.hpp</h3>\r
20 </div>\r
21 <p>This header defines all available function overloads that operate on vector objects.</p>\r
22 <h3>Synopsis:</h3>\r
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>\r
24 <pre>namespace boost\r
25 {\r
26     namespace <span class="RenoLink"><a href="qvm.html">qvm</a></span>\r
27     {\r
28 <span class="RenoIncludeSPAN">        <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
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;\r
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>\r
31         template &lt;class A,class B&gt;\r
32         A &amp; <span class="RenoLink"><a href="assign_vec_vec_.html">assign</a></span>( A &amp; a, B const &amp; b );</span>        \r
33         \r
34         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
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;\r
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>\r
37         template &lt;class R,class A&gt;\r
38         R <span class="RenoLink"><a href="convert_to_vec_.html">convert_to</a></span>( A const &amp; a );</span>        \r
39         \r
40         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
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;\r
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>\r
43         template &lt;class A,class B&gt;\r
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>        \r
45         \r
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\r
47         template &lt;class A&gt;\r
48         typename <span class="RenoLink"><a href="deduce_vec.html">deduce_vec</a></span>&lt;A&gt;::type\r
49         <span class="RenoLink"><a href="operator_minus_vec_.html">operator-</a></span>( A const &amp; a );</span>        \r
50         \r
51         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
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;\r
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>\r
54         template &lt;class A,class B&gt;\r
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\r
56         <span class="RenoLink"><a href="operator_minus_vec_vec_.html">operator-</a></span>( A const &amp; a, B const &amp; b );</span>        \r
57         \r
58         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
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;\r
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>\r
61         template &lt;class A,class B&gt;\r
62         A &amp; <span class="RenoLink"><a href="operator_add_vec_vec_.html">operator+=</a></span>( A &amp; a, B const &amp; b );</span>        \r
63         \r
64         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
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;\r
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>\r
67         template &lt;class A,class B&gt;\r
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\r
69         <span class="RenoLink"><a href="operator_plus_vec_vec_.html">operator+</a></span>( A const &amp; a, B const &amp; b );</span>        \r
70         \r
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\r
72         template &lt;class A,class B&gt;\r
73         A &amp; <span class="RenoLink"><a href="operator_div_eq_vec_scalar_.html">operator/=</a></span>( A &amp; a, B b );</span>        \r
74         \r
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\r
76         template &lt;class A,class B&gt;\r
77         typename <span class="RenoLink"><a href="deduce_vec.html">deduce_vec</a></span>&lt;A&gt;::type\r
78         <span class="RenoLink"><a href="operator_over_vec_scalar_.html">operator/</a></span>( A const &amp; a, B b );</span>        \r
79         \r
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\r
81         template &lt;class A,class B&gt;\r
82         A &amp; <span class="RenoLink"><a href="operator_mul_eq_vec_scalar_.html">operator*=</a></span>( A &amp; a, B b );</span>        \r
83         \r
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\r
85         template &lt;class A&gt;\r
86         typename <span class="RenoLink"><a href="deduce_vec.html">deduce_vec</a></span>&lt;A&gt;::type\r
87         <span class="RenoLink"><a href="operator_times_vec_scalar_.html">operator*</a></span>( A const &amp; a, B b );</span>        \r
88         \r
89         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_scalar.html">is_scalar</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;B&gt;::value\r
90         template &lt;class A&gt;\r
91         typename <span class="RenoLink"><a href="deduce_vec.html">deduce_vec</a></span>&lt;B&gt;::type\r
92         <span class="RenoLink"><a href="operator_times_vec_scalar_.html">operator*</a></span>( A a, B const &amp; b );</span>        \r
93         \r
94         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
95         //  <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;\r
96         //  <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>\r
97         template &lt;class A,class B&gt;\r
98         bool <span class="RenoLink"><a href="operator_eq_vec_vec_.html">operator==</a></span>( A const &amp; a, B const &amp; b );</span>        \r
99         \r
100         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
101         //  <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;\r
102         //  <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>\r
103         template &lt;class A,class B&gt;\r
104         bool <span class="RenoLink"><a href="operator_not_eq_vec_vec_.html">operator!=</a></span>( A const &amp; a, B const &amp; b );</span>        \r
105         \r
106         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
107         //  <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;\r
108         //  <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>\r
109         template &lt;class A,class B,class Cmp&gt;\r
110         bool <span class="RenoLink"><a href="cmp_mat_mat_.html">cmp</a></span>( A const &amp; a, B const &amp; b, Cmp pred );</span>        \r
111         \r
112         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
113         //  <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value\r
114         template &lt;class A&gt;\r
115         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>\r
116         <span class="RenoLink"><a href="mag_sqr_vec_.html">mag_sqr</a></span>( A const &amp; a );</span>        \r
117         \r
118         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
119         //  <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value\r
120         template &lt;class A&gt;\r
121         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>\r
122         <span class="RenoLink"><a href="mag_vec_.html">mag</a></span>( A const &amp; a );</span>        \r
123         \r
124         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
125         //  <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value\r
126         template &lt;class A&gt;\r
127         typename <span class="RenoLink"><a href="deduce_vec.html">deduce_vec</a></span>&lt;A&gt;::type\r
128         <span class="RenoLink"><a href="normalized_vec_.html">normalized</a></span>( A const &amp; a );</span>        \r
129         \r
130         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
131         //  <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value\r
132         template &lt;class A&gt;\r
133         void <span class="RenoLink"><a href="normalize_vec_.html">normalize</a></span>( A &amp; a );</span>        \r
134         \r
135         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
136         //  <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;\r
137         //  <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>\r
138         template &lt;class A,class B&gt;\r
139         typename <span class="RenoLink"><a href="deduce_scalar.html">deduce_scalar</a></span>&lt;A,B&gt;::type\r
140         <span class="RenoLink"><a href="dot_vec_vec_.html">dot</a></span>( A const &amp; a, B const &amp; b );</span>        \r
141         \r
142         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
143         //  <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;\r
144         //  <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\r
145         template &lt;class A,class B&gt;\r
146         typename <span class="RenoLink"><a href="deduce_vec2.html">deduce_vec2</a></span>&lt;A,B,3&gt;::type\r
147         <span class="RenoLink"><a href="cross.html">cross</a></span>( A const &amp; a, B const &amp; b );</span>        \r
148         \r
149         <span class="RenoIncludeSPAN">template &lt;class T,int S&gt;\r
150         -unspecified-return-type- <span class="RenoLink"><a href="zero_vec.html">zero_vec</a></span>();</span>        \r
151         \r
152         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
153         //  <span class="RenoLink"><a href="is_vec.html">is_vec</a></span>&lt;A&gt;::value\r
154         template &lt;class A&gt;\r
155         void <span class="RenoLink"><a href="set_zero_vec_.html">set_zero</a></span>( A &amp; a );</span>        \r
156         \r
157         <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\r
158         template &lt;class A&gt;\r
159         -unspecified-return-type- <span class="RenoLink"><a href="vref.html">vref</a></span>( A &amp; a );</span>        \r
160         \r
161         <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\r
162         template &lt;class Scalar,class A&gt;\r
163         -unspecified-return_type- <span class="RenoLink"><a href="scalar_cast_vec_.html">scalar_cast</a></span>( A const &amp; a );</span></span>\r
164     }\r
165 }</pre>\r
166 </div></div><div class="RenoAutoDIV"><div class="RenoHR"><hr/></div>\r
167 See 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_scalar_vec_.html">operator*(scalar,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>\r
168 </div>\r
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