ceph/src/boost/libs/qvm/doc/matrix_operations_reference.html

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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>Matrix Operations</h3>
  20 </div>
  21 <div class="RenoIncludeDIV"><p><span class="RenoEscape">&#35;<!--<wiki>`&#35;</wiki>--></span>include &lt;<span class="RenoLink"><a href="boost_qvm_mat_operations_hpp.html">boost/qvm/mat_operations.hpp</a></span>&gt;</p>
  22 <pre>namespace boost
  23 {
  24     namespace <span class="RenoLink"><a href="qvm.html">qvm</a></span>
  25     {
  26 <span class="RenoIncludeSPAN">        //*** Matrix operations ***
  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_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;
  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;
  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>
  32         template &lt;class A,class B&gt;
  33         A &amp; <span class="RenoLink"><a href="assign_mat_mat_.html">assign</a></span>( A &amp; a, B const &amp; b );</span>
  34
  35         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
  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;
  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;
  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>
  39         template &lt;class R,class A&gt;
  40         R <span class="RenoLink"><a href="convert_to_mat_.html">convert_to</a></span>( A const &amp; a );</span>
  41
  42         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
  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;
  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;
  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>
  46         template &lt;class A,class B&gt;
  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>
  48
  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
  50         template &lt;class A&gt;
  51         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type
  52         <span class="RenoLink"><a href="operator_minus_mat_.html">operator-</a></span>( A const &amp; a );</span>
  53
  54         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
  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;
  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;
  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>
  58         template &lt;class A,class B&gt;
  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
  60         <span class="RenoLink"><a href="operator_minus_mat_mat_.html">operator-</a></span>( A const &amp; a, B const &amp; b );</span>
  61
  62         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
  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;
  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;
  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>
  66         template &lt;class A,class B&gt;
  67         A &amp; <span class="RenoLink"><a href="operator_add_mat_mat_.html">operator+=</a></span>( A &amp; a, B const &amp; b );</span>
  68
  69         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
  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;
  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;
  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>
  73         template &lt;class A,class B&gt;
  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
  75         <span class="RenoLink"><a href="operator_plus_mat_mat_.html">operator+</a></span>( A const &amp; a, B const &amp; b );</span>
  76
  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
  78         template &lt;class A,class B&gt;
  79         A &amp; <span class="RenoLink"><a href="operator_div_eq_mat_scalar_.html">operator/=</a></span>( A &amp; a, B b );</span>
  80
  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
  82         template &lt;class A,class B&gt;
  83         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type
  84         <span class="RenoLink"><a href="operator_over_mat_scalar_.html">operator/</a></span>( A const &amp; a, B b );</span>
  85
  86         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
  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;
  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;
  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;
  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>
  91         template &lt;class A,class B&gt;
  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>
  93
  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
  95         template &lt;class A,class B&gt;
  96         A &amp; <span class="RenoLink"><a href="operator_mul_eq_mat_scalar_.html">operator*=</a></span>( A &amp; a, B b );</span>
  97
  98         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
  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;
 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>
 101         template &lt;class A,class B&gt;
 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
 103         <span class="RenoLink"><a href="operator_times_mat_mat_.html">operator*</a></span>( A const &amp; a, B const &amp; b );</span>
 104
 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
 106         template &lt;class A,class B&gt;
 107         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type
 108         <span class="RenoLink"><a href="operator_times_mat_scalar_.html">operator*</a></span>( A const &amp; a, B b );</span>
 109
 110         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 111         //  <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;
 112         //  <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;
 113         //  <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>
 114         template &lt;class A,class B&gt;
 115         bool <span class="RenoLink"><a href="operator_eq_mat_mat_.html">operator==</a></span>( A const &amp; a, B const &amp; b );</span>
 116
 117         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 118         //  <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;
 119         //  <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;
 120         //  <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>
 121         template &lt;class A,class B&gt;
 122         bool <span class="RenoLink"><a href="operator_not_eq_mat_mat_.html">operator!=</a></span>( A const &amp; a, B const &amp; b );</span>
 123
 124         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 125         //  <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;
 126         //  <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;
 127         //  <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>
 128         template &lt;class A,class B,class Cmp&gt;
 129         bool <span class="RenoLink"><a href="cmp_mat_mat_.html">cmp</a></span>( A const &amp; a, B const &amp; b, Cmp pred );</span>
 130
 131         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 132         //  <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
 133         //  <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>
 134
 135         template &lt;class A,class B&gt;
 136         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type
 137         <span class="RenoLink"><a href="inverse_mat_.html">inverse</a></span>( A const &amp; a, B det );
 138
 139         template &lt;class A&gt;
 140         typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span>&lt;A&gt;::type
 141         <span class="RenoLink"><a href="inverse_mat_.html">inverse</a></span>( A const &amp; a );</span>
 142
 143         <span class="RenoIncludeSPAN">template &lt;class T,int D&gt;
 144         -unspecified-return-type- <span class="RenoLink"><a href="zero_mat.html">zero_mat</a></span>();
 145
 146         template &lt;class T,int R,int C&gt;
 147         -unspecified-return-type- <span class="RenoLink"><a href="zero_mat.html">zero_mat</a></span>();</span>
 148
 149         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 150         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value
 151         template &lt;class A&gt;
 152         void <span class="RenoLink"><a href="set_zero_mat_.html">set_zero</a></span>( A &amp; a );</span>
 153
 154         <span class="RenoIncludeSPAN">template &lt;class S,int D&gt;
 155         -unspecified-return-type- <span class="RenoLink"><a href="identity_mat.html">identity_mat</a></span>();</span>
 156
 157         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 158         //  <span class="RenoLink"><a href="is_mat.html">is_mat</a></span>&lt;A&gt;::value &amp;&amp;
 159         //  <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>
 160         template &lt;class A&gt;
 161         void <span class="RenoLink"><a href="set_identity_mat_.html">set_identity</a></span>( A &amp; a );</span>
 162
 163         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 164         //  <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
 165         template &lt;int Dim,class A,class Angle&gt;
 166         -unspecified-return-type
 167         <span class="RenoLink"><a href="rot_mat.html">rot_mat</a></span>( A const &amp; axis, Angle angle );</span>
 168
 169         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 170         //  <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;
 171         //  <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;
 172         //  <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
 173         template &lt;class A&gt;
 174         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>
 175
 176         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 177         //  <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;
 178         //  <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;
 179         //  <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
 180         template &lt;class A,class B&gt;
 181         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>
 182
 183         <span class="RenoIncludeSPAN">template &lt;int Dim,class Angle&gt;
 184         -unspecified-return-type- <span class="RenoLink"><a href="rotx_mat_scalar_.html">rotx_mat</a></span>( Angle const &amp; angle );</span>
 185
 186         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 187         //  <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;
 188         //  <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>
 189         template &lt;class A&gt;
 190         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>
 191
 192         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 193         //  <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;
 194         //  <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>
 195         template &lt;class A&gt;
 196         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>
 197
 198         <span class="RenoIncludeSPAN">template &lt;int Dim,class Angle&gt;
 199         -unspecified-return-type- <span class="RenoLink"><a href="roty_mat_scalar_.html">roty_mat</a></span>( Angle const &amp; angle );</span>
 200
 201         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 202         //  <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;
 203         //  <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>
 204         template &lt;class A&gt;
 205         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>
 206
 207         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 208         //  <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;
 209         //  <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>
 210         template &lt;class A&gt;
 211         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>
 212
 213         <span class="RenoIncludeSPAN">template &lt;int Dim,class Angle&gt;
 214         -unspecified-return-type- <span class="RenoLink"><a href="rotz_mat_scalar_.html">rotz_mat</a></span>( Angle const &amp; angle );</span>
 215
 216         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 217         //  <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;
 218         //  <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>
 219         template &lt;class A&gt;
 220         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>
 221
 222         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 223         //  <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;
 224         //  <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>
 225         template &lt;class A&gt;
 226         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>
 227
 228         <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
 229         //  <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>
 230         template &lt;class A&gt;
 231         <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>
 232         <span class="RenoLink"><a href="determinant.html">determinant</a></span>( A const &amp; a );</span>
 233
 234         <span class="RenoIncludeSPAN">template &lt;class T&gt;
 235         -unspecified-return-type
 236         <span class="RenoLink"><a href="perspective_lh.html">perspective_lh</a></span>( T fov_y, T aspect, T zn, T zf );</span>
 237
 238         <span class="RenoIncludeSPAN">template &lt;class T&gt;
 239         -unspecified-return-type
 240         <span class="RenoLink"><a href="perspective_rh.html">perspective_rh</a></span>( T fov_y, T aspect, T zn, T zf );</span>
 241
 242         <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
 243         template &lt;class A&gt;
 244         -unspecified-return-type- <span class="RenoLink"><a href="mref.html">mref</a></span>( A &amp; a );</span>
 245
 246         <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
 247         template &lt;class Scalar,class A&gt;
 248         -unspecified-return_type- <span class="RenoLink"><a href="scalar_cast_mat_.html">scalar_cast</a></span>( A const &amp; a );</span></span></span>
 249     }
 250 }</pre>
 251 </div><p>This is a list of all matrix operations implemented by Boost QVM -- click on functions for individual documentation. General notes:</p>
 252 <div><ul><li> All functions use <span class="RenoLink"><a href="SFINAE_enable_if.html">SFINAE/enable_if</a></span>. They are available for any C++ type but only if it has been registered through the <i><span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span></i> template.</li>
 253 <li> When objects are returned by value their type is deduced either by the <i><span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span></i> template (for unary functions) or the <i><span class="RenoLink"><a href="deduce_mat2.html">deduce_mat2</a></span></i> template (for binary functions).</li>
 254 <li> The type of scalar arguments is deduced independently from the type of the matrix argument, so they are not required to match. Scalar arguments must convert implicitly to the matrix scalar type.</li>
 255 </ul></div>
 256 </div><div class="RenoAutoDIV"><div class="RenoHR"><hr/></div>
 257 See also: <span class="RenoPageList"><a href="index.html">Boost QVM</a>&nbsp;| <a href="Synopsis.html">Synopsis</a></span>
 258 </div>
 259 <!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->
 260 <!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->
 261 <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
 262 <div id="footer">
 263 <p>
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 266 <small>Copyright (c) 2008-2016 by Emil Dotchevski and Reverge Studios, Inc.<br/>
 267 Distributed under the <a href="http://www.boost.org/LICENSE_1_0.txt">Boost Software License, Version 1.0</a>.</small>
 268 </p>
 269 </div>
 270 </div>
 271 </div>
 272 </div>
 273 </body>
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