Imported Upstream version 1.64.0
[platform/upstream/boost.git] / libs / qvm / doc / boost_qvm_mat_operations_hpp.html
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6         <title>boost/qvm/mat_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/mat_operations.hpp</h3>\r
20 </div>\r
21 <p>This header defines all available function overloads that operate on matrix 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/mat_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_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
30         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &amp;&amp;\r
31         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>\r
32         template &lt;class A,class B&gt;\r
33         A &amp; <span class="RenoLink"><a href="assign_mat_mat_.html">assign</a></span>( A &amp; a, B const &amp; b );</span>        \r
34         \r
35         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
36         //  <span class="RenoLink"><a href="is_mat.html">is_mat</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;\r
37         //  <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;R&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>==<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> &amp;&amp;\r
38         //  <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;R&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>==<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>\r
39         template &lt;class R,class A&gt;\r
40         R <span class="RenoLink"><a href="convert_to_mat_.html">convert_to</a></span>( A const &amp; a );</span>        \r
41         \r
42         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
43         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
44         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &amp;&amp;\r
45         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>\r
46         template &lt;class A,class B&gt;\r
47         A &amp; <span class="RenoLink"><a href="operator_sub_eq_mat_mat_.html">operator-=</a></span>( A &amp; a, B const &amp; b );</span>        \r
48         \r
49         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value\r
50         template &lt;class A&gt;\r
51         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type\r
52         <span class="RenoLink"><a href="operator_minus_mat_.html">operator-</a></span>( A const &amp; a );</span>        \r
53         \r
54         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
55         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
56         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &amp;&amp;\r
57         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>\r
58         template &lt;class A,class B&gt;\r
59         typename <span class="RenoLink"><a href="deduce_mat2.html">deduce_mat2</a></span>&lt;A,B,<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>,<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>&gt;::type\r
60         <span class="RenoLink"><a href="operator_minus_mat_mat_.html">operator-</a></span>( A const &amp; a, B const &amp; b );</span>        \r
61         \r
62         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
63         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
64         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &amp;&amp;\r
65         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>\r
66         template &lt;class A,class B&gt;\r
67         A &amp; <span class="RenoLink"><a href="operator_add_mat_mat_.html">operator+=</a></span>( A &amp; a, B const &amp; b );</span>        \r
68         \r
69         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
70         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
71         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &amp;&amp;\r
72         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>\r
73         template &lt;class A,class B&gt;\r
74         typename <span class="RenoLink"><a href="deduce_mat2.html">deduce_mat2</a></span>&lt;A,B,<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>,<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>&gt;::type\r
75         <span class="RenoLink"><a href="operator_plus_mat_mat_.html">operator+</a></span>( A const &amp; a, B const &amp; b );</span>        \r
76         \r
77         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_mat.html">is_mat</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
78         template &lt;class A,class B&gt;\r
79         A &amp; <span class="RenoLink"><a href="operator_div_eq_mat_scalar_.html">operator/=</a></span>( A &amp; a, B b );</span>        \r
80         \r
81         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_mat.html">is_mat</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
82         template &lt;class A,class B&gt;\r
83         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type\r
84         <span class="RenoLink"><a href="operator_over_mat_scalar_.html">operator/</a></span>( A const &amp; a, B b );</span>        \r
85         \r
86         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
87         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
88         //  <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>==<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> &amp;&amp;\r
89         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &amp;&amp;\r
90         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>\r
91         template &lt;class A,class B&gt;\r
92         A &amp; <span class="RenoLink"><a href="operator_mul_eq_mat_mat_.html">operator*=</a></span>( A &amp; 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>: <span class="RenoLink"><a href="is_mat.html">is_mat</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
95         template &lt;class A,class B&gt;\r
96         A &amp; <span class="RenoLink"><a href="operator_mul_eq_mat_scalar_.html">operator*=</a></span>( A &amp; a, B b );</span>        \r
97         \r
98         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
99         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
100         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>\r
101         template &lt;class A,class B&gt;\r
102         typename <span class="RenoLink"><a href="deduce_mat2.html">deduce_mat2</a></span>&lt;A,B,<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>,<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>&gt;::type\r
103         <span class="RenoLink"><a href="operator_times_mat_mat_.html">operator*</a></span>( A const &amp; a, B const &amp; b );</span>        \r
104         \r
105         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_mat.html">is_mat</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
106         template &lt;class A,class B&gt;\r
107         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type\r
108         <span class="RenoLink"><a href="operator_times_mat_scalar_.html">operator*</a></span>( A const &amp; a, B b );</span>        \r
109         \r
110         <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_mat.html">is_mat</a></span>&lt;B&gt;::value\r
111         template &lt;class A,class B&gt;\r
112         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;B&gt;::type\r
113         <span class="RenoLink"><a href="operator_times_scalar_mat_.html">operator*</a></span>( A a, B const &amp; b );</span>        \r
114         \r
115         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
116         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
117         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &amp;&amp;\r
118         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>\r
119         template &lt;class A,class B&gt;\r
120         bool <span class="RenoLink"><a href="operator_eq_mat_mat_.html">operator==</a></span>( A const &amp; a, B const &amp; b );</span>        \r
121         \r
122         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
123         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
124         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &amp;&amp;\r
125         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>\r
126         template &lt;class A,class B&gt;\r
127         bool <span class="RenoLink"><a href="operator_not_eq_mat_mat_.html">operator!=</a></span>( A const &amp; a, B const &amp; b );</span>        \r
128         \r
129         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
130         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp; <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;B&gt;::value &amp;&amp;\r
131         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &amp;&amp;\r
132         //  <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>==<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;B&gt;::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>\r
133         template &lt;class A,class B,class Cmp&gt;\r
134         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
135         \r
136         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
137         //  <span class="RenoLink"><a href="is_mat.html">is_mat</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
138         //  <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>==<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>\r
139         \r
140         template &lt;class A,class B&gt;\r
141         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type\r
142         <span class="RenoLink"><a href="inverse_mat_.html">inverse</a></span>( A const &amp; a, B det );\r
143         \r
144         template &lt;class A&gt;\r
145         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type\r
146         <span class="RenoLink"><a href="inverse_mat_.html">inverse</a></span>( A const &amp; a );</span>        \r
147         \r
148         <span class="RenoIncludeSPAN">template &lt;class T,int D&gt;\r
149         -unspecified-return-type- <span class="RenoLink"><a href="zero_mat.html">zero_mat</a></span>();\r
150         \r
151         template &lt;class T,int R,int C&gt;\r
152         -unspecified-return-type- <span class="RenoLink"><a href="zero_mat.html">zero_mat</a></span>();</span>        \r
153         \r
154         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
155         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value\r
156         template &lt;class A&gt;\r
157         void <span class="RenoLink"><a href="set_zero_mat_.html">set_zero</a></span>( A &amp; a );</span>        \r
158         \r
159         <span class="RenoIncludeSPAN">template &lt;class S,int D&gt;\r
160         -unspecified-return-type- <span class="RenoLink"><a href="identity_mat.html">identity_mat</a></span>();</span>        \r
161         \r
162         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
163         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp;\r
164         //  <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>==<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>\r
165         template &lt;class A&gt;\r
166         void <span class="RenoLink"><a href="set_identity_mat_.html">set_identity</a></span>( A &amp; a );</span>        \r
167         \r
168         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
169         //  <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\r
170         template &lt;int Dim,class A,class Angle&gt;\r
171         -unspecified-return-type\r
172         <span class="RenoLink"><a href="rot_mat.html">rot_mat</a></span>( A const &amp; axis, Angle angle );</span>        \r
173         \r
174         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
175         //  <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>&gt;=3 &amp;&amp;\r
176         //  <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>==<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> &amp;&amp;\r
177         //  <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\r
178         template &lt;class A&gt;\r
179         void <span class="RenoLink"><a href="set_rot_mat_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>        \r
180         \r
181         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
182         //  <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>&gt;=3 &amp;&amp;\r
183         //  <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>==<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> &amp;&amp;\r
184         //  <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\r
185         template &lt;class A,class B&gt;\r
186         void <span class="RenoLink"><a href="rotate_mat_vec_scalar_.html">rotate</a></span>( A &amp; a, B const &amp; axis, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>        \r
187         \r
188         <span class="RenoIncludeSPAN">template &lt;int Dim,class Angle&gt;\r
189         -unspecified-return-type- <span class="RenoLink"><a href="rotx_mat_scalar_.html">rotx_mat</a></span>( Angle const &amp; angle );</span>        \r
190         \r
191         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
192         //  <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>&gt;=3 &amp;&amp;\r
193         //  <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>==<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>\r
194         template &lt;class A&gt;\r
195         void <span class="RenoLink"><a href="set_rotx_mat_scalar_.html">set_rotx</a></span>( A &amp; a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>        \r
196         \r
197         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
198         //  <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>&gt;=3 &amp;&amp;\r
199         //  <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>==<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>\r
200         template &lt;class A&gt;\r
201         void <span class="RenoLink"><a href="rotate_x_mat_scalar_.html">rotate_x</a></span>( A &amp; a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>        \r
202         \r
203         <span class="RenoIncludeSPAN">template &lt;int Dim,class Angle&gt;\r
204         -unspecified-return-type- <span class="RenoLink"><a href="roty_mat_scalar_.html">roty_mat</a></span>( Angle const &amp; angle );</span>        \r
205         \r
206         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
207         //  <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>&gt;=3 &amp;&amp;\r
208         //  <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>==<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>\r
209         template &lt;class A&gt;\r
210         void <span class="RenoLink"><a href="set_roty_mat_scalar_.html">set_roty</a></span>( A &amp; a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>        \r
211         \r
212         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
213         //  <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>&gt;=3 &amp;&amp;\r
214         //  <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>==<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>\r
215         template &lt;class A&gt;\r
216         void <span class="RenoLink"><a href="rotate_y_mat_scalar_.html">rotate_y</a></span>( A &amp; a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>        \r
217         \r
218         <span class="RenoIncludeSPAN">template &lt;int Dim,class Angle&gt;\r
219         -unspecified-return-type- <span class="RenoLink"><a href="rotz_mat_scalar_.html">rotz_mat</a></span>( Angle const &amp; angle );</span>        \r
220         \r
221         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
222         //  <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>&gt;=3 &amp;&amp;\r
223         //  <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>==<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>\r
224         template &lt;class A&gt;\r
225         void <span class="RenoLink"><a href="set_rotz_mat_scalar_.html">set_rotz</a></span>( A &amp; a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>        \r
226         \r
227         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
228         //  <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>&gt;=3 &amp;&amp;\r
229         //  <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>==<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>\r
230         template &lt;class A&gt;\r
231         void <span class="RenoLink"><a href="rotate_z_mat_scalar_.html">rotate_z</a></span>( A &amp; a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>        \r
232         \r
233         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:\r
234         //  <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>==<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>\r
235         template &lt;class A&gt;\r
236         <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span>&lt;A&gt;::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span>\r
237         <span class="RenoLink"><a href="determinant.html">determinant</a></span>( A const &amp; a );</span>        \r
238         \r
239         <span class="RenoIncludeSPAN">template &lt;class T&gt;\r
240         -unspecified-return-type\r
241         <span class="RenoLink"><a href="perspective_lh.html">perspective_lh</a></span>( T fov_y, T aspect, T zn, T zf );</span>        \r
242         \r
243         <span class="RenoIncludeSPAN">template &lt;class T&gt;\r
244         -unspecified-return-type\r
245         <span class="RenoLink"><a href="perspective_rh.html">perspective_rh</a></span>( T fov_y, T aspect, T zn, T zf );</span>        \r
246         \r
247         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value\r
248         template &lt;class A&gt;\r
249         -unspecified-return-type- <span class="RenoLink"><a href="mref.html">mref</a></span>( A &amp; a );</span>        \r
250         \r
251         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>: <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value\r
252         template &lt;class Scalar,class A&gt;\r
253         -unspecified-return_type- <span class="RenoLink"><a href="scalar_cast_mat_.html">scalar_cast</a></span>( A const &amp; a );</span></span>\r
254     }\r
255 }</pre>\r
256 </div></div><div class="RenoAutoDIV"><div class="RenoHR"><hr/></div>\r
257 See also: <span class="RenoPageList"><a href="assign_mat_mat_.html">assign(mat,mat)</a>&nbsp;| <a href="boost_qvm_mat_operations2_hpp.html">boost/qvm/mat_operations2.hpp</a>&nbsp;| <a href="boost_qvm_mat_operations3_hpp.html">boost/qvm/mat_operations3.hpp</a>&nbsp;| <a href="boost_qvm_mat_operations4_hpp.html">boost/qvm/mat_operations4.hpp</a>&nbsp;| <a href="boost_qvm_operations_hpp.html">boost/qvm/operations.hpp</a>&nbsp;| <a href="code_generator.html">Code Generator</a>&nbsp;| <a href="cmp_mat_mat_.html">cmp(mat,mat)</a>&nbsp;| <a href="convert_to_mat_.html">convert_to(mat)</a>&nbsp;| <a href="determinant.html">determinant</a>&nbsp;| <a href="identity_mat.html">identity_mat</a>&nbsp;| <a href="inverse_mat_.html">inverse(mat)</a>&nbsp;| <a href="mref.html">mref</a>&nbsp;| <a href="operator_not_eq_mat_mat_.html">operator!=(mat,mat)</a>&nbsp;| <a href="operator_times_mat_mat_.html">operator*(mat,mat)</a>&nbsp;| <a href="operator_times_mat_scalar_.html">operator*(mat,scalar)</a>&nbsp;| <a href="operator_times_scalar_mat_.html">operator*(scalar,mat)</a>&nbsp;| <a href="operator_mul_eq_mat_mat_.html">operator*=(mat,mat)</a>&nbsp;| <a href="operator_mul_eq_mat_scalar_.html">operator*=(mat,scalar)</a>&nbsp;| <a href="operator_plus_mat_mat_.html">operator+(mat,mat)</a>&nbsp;| <a href="operator_add_mat_mat_.html">operator+=(mat,mat)</a>&nbsp;| <a href="operator_minus_mat_.html">operator-(mat)</a>&nbsp;| <a href="operator_minus_mat_mat_.html">operator-(mat,mat)</a>&nbsp;| <a href="operator_sub_eq_mat_mat_.html">operator-=(mat,mat)</a>&nbsp;| <a href="operator_over_mat_scalar_.html">operator/(mat,scalar)</a>&nbsp;| <a href="operator_div_eq_mat_scalar_.html">operator/=(mat,scalar)</a>&nbsp;| <a href="operator_eq_mat_mat_.html">operator==(mat,mat)</a>&nbsp;| <a href="perspective_lh.html">perspective_lh</a>&nbsp;| <a href="perspective_rh.html">perspective_rh</a>&nbsp;| <a href="rot_mat.html">rot_mat</a>&nbsp;| <a href="rotate_mat_vec_scalar_.html">rotate(mat,vec,scalar)</a>&nbsp;| <a href="rotate_x_mat_scalar_.html">rotate_x(mat,scalar)</a>&nbsp;| <a href="rotate_y_mat_scalar_.html">rotate_y(mat,scalar)</a>&nbsp;| <a href="rotate_z_mat_scalar_.html">rotate_z(mat,scalar)</a>&nbsp;| <a href="rotx_mat_scalar_.html">rotx_mat(scalar)</a>&nbsp;| <a href="roty_mat_scalar_.html">roty_mat(scalar)</a>&nbsp;| <a href="rotz_mat_scalar_.html">rotz_mat(scalar)</a>&nbsp;| <a href="scalar_cast_mat_.html">scalar_cast(mat)</a>&nbsp;| <a href="set_identity_mat_.html">set_identity(mat)</a>&nbsp;| <a href="set_rot_mat_vec_scalar_.html">set_rot(mat,vec,scalar)</a>&nbsp;| <a href="set_rotx_mat_scalar_.html">set_rotx(mat,scalar)</a>&nbsp;| <a href="set_roty_mat_scalar_.html">set_roty(mat,scalar)</a>&nbsp;| <a href="set_rotz_mat_scalar_.html">set_rotz(mat,scalar)</a>&nbsp;| <a href="set_zero_mat_.html">set_zero(mat)</a>&nbsp;| <a href="zero_mat.html">zero_mat</a></span>\r
258 </div>\r
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