1 <!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.0 Strict//EN'
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6 <title>boost/qvm/mat_operations.hpp</title>
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7 <link href='reno.css' type='text/css' rel='stylesheet'/>
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10 <div class="body-0">
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11 <div class="body-1">
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12 <div class="body-2">
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14 <h1>QVM: Quaternions, Vectors, Matrices</h1>
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16 <!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->
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17 <!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->
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18 <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
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19 <div class="RenoIncludeDIV"><div class="RenoAutoDIV"><h3>boost/qvm/mat_operations.hpp</h3>
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21 <p>This header defines all available function overloads that operate on matrix objects.</p>
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23 <div class="RenoIncludeDIV"><p><span class="RenoEscape">#<!--<wiki>`#</wiki>--></span>include <<span class="RenoLink">boost/qvm/mat_operations.hpp</span>></p>
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24 <pre>namespace boost
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26 namespace <span class="RenoLink"><a href="qvm.html">qvm</a></span>
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28 <span class="RenoIncludeSPAN"> <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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29 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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30 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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31 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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32 template <class A,class B>
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33 A & <span class="RenoLink"><a href="assign_mat_mat_.html">assign</a></span>( A & a, B const & b );</span>
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35 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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36 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><R>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value &&
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37 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><R>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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38 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><R>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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39 template <class R,class A>
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40 R <span class="RenoLink"><a href="convert_to_mat_.html">convert_to</a></span>( A const & a );</span>
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42 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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43 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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44 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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45 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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46 template <class A,class B>
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47 A & <span class="RenoLink"><a href="operator_sub_eq_mat_mat_.html">operator-=</a></span>( A & a, B const & b );</span>
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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><A>::value
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50 template <class A>
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51 typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span><A>::type
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52 <span class="RenoLink"><a href="operator_minus_mat_.html">operator-</a></span>( A const & a );</span>
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54 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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55 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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56 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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57 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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58 template <class A,class B>
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59 typename <span class="RenoLink"><a href="deduce_mat2.html">deduce_mat2</a></span><A,B,<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>>::type
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60 <span class="RenoLink"><a href="operator_minus_mat_mat_.html">operator-</a></span>( A const & a, B const & b );</span>
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62 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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63 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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64 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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65 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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66 template <class A,class B>
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67 A & <span class="RenoLink"><a href="operator_add_mat_mat_.html">operator+=</a></span>( A & a, B const & b );</span>
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69 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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70 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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71 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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72 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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73 template <class A,class B>
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74 typename <span class="RenoLink"><a href="deduce_mat2.html">deduce_mat2</a></span><A,B,<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>>::type
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75 <span class="RenoLink"><a href="operator_plus_mat_mat_.html">operator+</a></span>( A const & a, B const & b );</span>
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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><A>::value && <span class="RenoLink"><a href="is_scalar.html">is_scalar</a></span><B>::value
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78 template <class A,class B>
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79 A & <span class="RenoLink"><a href="operator_div_eq_mat_scalar_.html">operator/=</a></span>( A & a, B b );</span>
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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><A>::value && <span class="RenoLink"><a href="is_scalar.html">is_scalar</a></span><B>::value
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82 template <class A,class B>
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83 typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span><A>::type
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84 <span class="RenoLink"><a href="operator_over_mat_scalar_.html">operator/</a></span>( A const & a, B b );</span>
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86 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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87 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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88 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span> &&
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89 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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90 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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91 template <class A,class B>
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92 A & <span class="RenoLink"><a href="operator_mul_eq_mat_mat_.html">operator*=</a></span>( A & a, B const & b );</span>
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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><A>::value && <span class="RenoLink"><a href="is_scalar.html">is_scalar</a></span><B>::value
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95 template <class A,class B>
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96 A & <span class="RenoLink"><a href="operator_mul_eq_mat_scalar_.html">operator*=</a></span>( A & a, B b );</span>
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98 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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99 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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100 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>
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101 template <class A,class B>
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102 typename <span class="RenoLink"><a href="deduce_mat2.html">deduce_mat2</a></span><A,B,<span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>>::type
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103 <span class="RenoLink"><a href="operator_times_mat_mat_.html">operator*</a></span>( A const & a, B const & b );</span>
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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><A>::value && <span class="RenoLink"><a href="is_scalar.html">is_scalar</a></span><B>::value
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106 template <class A,class B>
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107 typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span><A>::type
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108 <span class="RenoLink"><a href="operator_times_mat_scalar_.html">operator*</a></span>( A const & a, B b );</span>
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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><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value
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111 template <class A,class B>
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112 typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span><B>::type
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113 <span class="RenoLink"><a href="operator_times_scalar_mat_.html">operator*</a></span>( A a, B const & b );</span>
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115 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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116 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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117 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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118 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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119 template <class A,class B>
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120 bool <span class="RenoLink"><a href="operator_eq_mat_mat_.html">operator==</a></span>( A const & a, B const & b );</span>
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122 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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123 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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124 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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125 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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126 template <class A,class B>
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127 bool <span class="RenoLink"><a href="operator_not_eq_mat_mat_.html">operator!=</a></span>( A const & a, B const & b );</span>
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129 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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130 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><B>::value &&
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131 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span> &&
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132 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><B>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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133 template <class A,class B,class Cmp>
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134 bool <span class="RenoLink"><a href="cmp_mat_mat_.html">cmp</a></span>( A const & a, B const & b, Cmp pred );</span>
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136 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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137 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="is_scalar.html">is_scalar</a></span><B>::value
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138 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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140 template <class A,class B>
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141 typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span><A>::type
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142 <span class="RenoLink"><a href="inverse_mat_.html">inverse</a></span>( A const & a, B det );
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144 template <class A>
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145 typename <span class="RenoLink"><a href="deduce_mat.html">deduce_mat</a></span><A>::type
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146 <span class="RenoLink"><a href="inverse_mat_.html">inverse</a></span>( A const & a );</span>
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148 <span class="RenoIncludeSPAN">template <class T,int D>
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149 -unspecified-return-type- <span class="RenoLink"><a href="zero_mat.html">zero_mat</a></span>();
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151 template <class T,int R,int C>
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152 -unspecified-return-type- <span class="RenoLink"><a href="zero_mat.html">zero_mat</a></span>();</span>
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154 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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155 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value
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156 template <class A>
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157 void <span class="RenoLink"><a href="set_zero_mat_.html">set_zero</a></span>( A & a );</span>
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159 <span class="RenoIncludeSPAN">template <class S,int D>
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160 -unspecified-return-type- <span class="RenoLink"><a href="identity_mat.html">identity_mat</a></span>();</span>
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162 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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163 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value &&
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164 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>
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165 template <class A>
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166 void <span class="RenoLink"><a href="set_identity_mat_.html">set_identity</a></span>( A & a );</span>
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168 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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169 // <span class="RenoLink"><a href="is_vec.html">is_vec</a></span><A>::value && <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span><A>::<span class="RenoLink"><a href="vec_traits_Vector_dim.html">dim</a></span>==3
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170 template <int Dim,class A,class Angle>
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171 -unspecified-return-type
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172 <span class="RenoLink"><a href="rot_mat.html">rot_mat</a></span>( A const & axis, Angle angle );</span>
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174 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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175 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>>=3 &&
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176 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span> &&
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177 // <span class="RenoLink"><a href="is_vec.html">is_vec</a></span><B>::value && <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span><B>::<span class="RenoLink"><a href="vec_traits_Vector_dim.html">dim</a></span>==3
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178 template <class A>
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179 void <span class="RenoLink"><a href="set_rot_mat_vec_scalar_.html">set_rot</a></span>( A & a, B const & axis, typename <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span><B>::<span class="RenoLink"><a href="vec_traits_V_scalar_type.html">scalar_type</a></span> angle );</span>
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181 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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182 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>>=3 &&
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183 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span> &&
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184 // <span class="RenoLink"><a href="is_vec.html">is_vec</a></span><B>::value && <span class="RenoLink"><a href="vec_traits.html">vec_traits</a></span><B>::<span class="RenoLink"><a href="vec_traits_Vector_dim.html">dim</a></span>==3
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185 template <class A,class B>
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186 void <span class="RenoLink"><a href="rotate_mat_vec_scalar_.html">rotate</a></span>( A & a, B const & axis, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>
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188 <span class="RenoIncludeSPAN">template <int Dim,class Angle>
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189 -unspecified-return-type- <span class="RenoLink"><a href="rotx_mat_scalar_.html">rotx_mat</a></span>( Angle const & angle );</span>
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191 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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192 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>>=3 &&
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193 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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194 template <class A>
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195 void <span class="RenoLink"><a href="set_rotx_mat_scalar_.html">set_rotx</a></span>( A & a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>
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197 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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198 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>>=3 &&
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199 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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200 template <class A>
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201 void <span class="RenoLink"><a href="rotate_x_mat_scalar_.html">rotate_x</a></span>( A & a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>
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203 <span class="RenoIncludeSPAN">template <int Dim,class Angle>
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204 -unspecified-return-type- <span class="RenoLink"><a href="roty_mat_scalar_.html">roty_mat</a></span>( Angle const & angle );</span>
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206 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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207 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>>=3 &&
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208 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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209 template <class A>
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210 void <span class="RenoLink"><a href="set_roty_mat_scalar_.html">set_roty</a></span>( A & a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>
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212 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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213 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>>=3 &&
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214 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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215 template <class A>
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216 void <span class="RenoLink"><a href="rotate_y_mat_scalar_.html">rotate_y</a></span>( A & a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>
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218 <span class="RenoIncludeSPAN">template <int Dim,class Angle>
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219 -unspecified-return-type- <span class="RenoLink"><a href="rotz_mat_scalar_.html">rotz_mat</a></span>( Angle const & angle );</span>
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221 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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222 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>>=3 &&
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223 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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224 template <class A>
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225 void <span class="RenoLink"><a href="set_rotz_mat_scalar_.html">set_rotz</a></span>( A & a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>
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227 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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228 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_Matrix_rows.html">rows</a></span>>=3 &&
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229 // <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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230 template <class A>
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231 void <span class="RenoLink"><a href="rotate_z_mat_scalar_.html">rotate_z</a></span>( A & a, typename <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span> angle );</span>
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233 <span class="RenoIncludeSPAN">//Only <span class="RenoLink"><a href="SFINAE_enable_if.html">enabled if</a></span>:
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234 // <span class="RenoLink"><a href="is_mat.html">is_mat</a></span><A>::value && <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<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><A>::<span class="RenoLink"><a href="mat_traits_Matrix_cols.html">cols</a></span>
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235 template <class A>
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236 <span class="RenoLink"><a href="mat_traits.html">mat_traits</a></span><A>::<span class="RenoLink"><a href="mat_traits_M_scalar_type.html">scalar_type</a></span>
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237 <span class="RenoLink"><a href="determinant.html">determinant</a></span>( A const & a );</span>
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239 <span class="RenoIncludeSPAN">template <class T>
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240 -unspecified-return-type
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241 <span class="RenoLink"><a href="perspective_lh.html">perspective_lh</a></span>( T fov_y, T aspect, T zn, T zf );</span>
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243 <span class="RenoIncludeSPAN">template <class T>
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244 -unspecified-return-type
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245 <span class="RenoLink"><a href="perspective_rh.html">perspective_rh</a></span>( T fov_y, T aspect, T zn, T zf );</span>
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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><A>::value
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248 template <class A>
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249 -unspecified-return-type- <span class="RenoLink"><a href="mref.html">mref</a></span>( A & a );</span>
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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><A>::value
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252 template <class Scalar,class A>
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253 -unspecified-return_type- <span class="RenoLink"><a href="scalar_cast_mat_.html">scalar_cast</a></span>( A const & a );</span></span>
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256 </div></div><div class="RenoAutoDIV"><div class="RenoHR"><hr/></div>
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257 See also: <span class="RenoPageList"><a href="assign_mat_mat_.html">assign(mat,mat)</a> | <a href="boost_qvm_mat_operations2_hpp.html">boost/qvm/mat_operations2.hpp</a> | <a href="boost_qvm_mat_operations3_hpp.html">boost/qvm/mat_operations3.hpp</a> | <a href="boost_qvm_mat_operations4_hpp.html">boost/qvm/mat_operations4.hpp</a> | <a href="boost_qvm_operations_hpp.html">boost/qvm/operations.hpp</a> | <a href="code_generator.html">Code Generator</a> | <a href="cmp_mat_mat_.html">cmp(mat,mat)</a> | <a href="convert_to_mat_.html">convert_to(mat)</a> | <a href="determinant.html">determinant</a> | <a href="identity_mat.html">identity_mat</a> | <a href="inverse_mat_.html">inverse(mat)</a> | <a href="mref.html">mref</a> | <a href="operator_not_eq_mat_mat_.html">operator!=(mat,mat)</a> | <a href="operator_times_mat_mat_.html">operator*(mat,mat)</a> | <a href="operator_times_mat_scalar_.html">operator*(mat,scalar)</a> | <a href="operator_times_scalar_mat_.html">operator*(scalar,mat)</a> | <a href="operator_mul_eq_mat_mat_.html">operator*=(mat,mat)</a> | <a href="operator_mul_eq_mat_scalar_.html">operator*=(mat,scalar)</a> | <a href="operator_plus_mat_mat_.html">operator+(mat,mat)</a> | <a href="operator_add_mat_mat_.html">operator+=(mat,mat)</a> | <a href="operator_minus_mat_.html">operator-(mat)</a> | <a href="operator_minus_mat_mat_.html">operator-(mat,mat)</a> | <a href="operator_sub_eq_mat_mat_.html">operator-=(mat,mat)</a> | <a href="operator_over_mat_scalar_.html">operator/(mat,scalar)</a> | <a href="operator_div_eq_mat_scalar_.html">operator/=(mat,scalar)</a> | <a href="operator_eq_mat_mat_.html">operator==(mat,mat)</a> | <a href="perspective_lh.html">perspective_lh</a> | <a href="perspective_rh.html">perspective_rh</a> | <a href="rot_mat.html">rot_mat</a> | <a href="rotate_mat_vec_scalar_.html">rotate(mat,vec,scalar)</a> | <a href="rotate_x_mat_scalar_.html">rotate_x(mat,scalar)</a> | <a href="rotate_y_mat_scalar_.html">rotate_y(mat,scalar)</a> | <a href="rotate_z_mat_scalar_.html">rotate_z(mat,scalar)</a> | <a href="rotx_mat_scalar_.html">rotx_mat(scalar)</a> | <a href="roty_mat_scalar_.html">roty_mat(scalar)</a> | <a href="rotz_mat_scalar_.html">rotz_mat(scalar)</a> | <a href="scalar_cast_mat_.html">scalar_cast(mat)</a> | <a href="set_identity_mat_.html">set_identity(mat)</a> | <a href="set_rot_mat_vec_scalar_.html">set_rot(mat,vec,scalar)</a> | <a href="set_rotx_mat_scalar_.html">set_rotx(mat,scalar)</a> | <a href="set_roty_mat_scalar_.html">set_roty(mat,scalar)</a> | <a href="set_rotz_mat_scalar_.html">set_rotz(mat,scalar)</a> | <a href="set_zero_mat_.html">set_zero(mat)</a> | <a href="zero_mat.html">zero_mat</a></span>
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259 <!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->
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260 <!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->
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261 <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
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264 <a class="logo" href="http://jigsaw.w3.org/css-validator/check/referer"><img class="logo_pic" src="valid-css.png" alt="Valid CSS" height="31" width="88"/></a>
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265 <a class="logo" href="http://validator.w3.org/check?uri=referer"><img class="logo_pic" src="valid-xhtml.png" alt="Valid XHTML 1.0" height="31" width="88"/></a>
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266 <small>Copyright (c) 2008-2016 by Emil Dotchevski and Reverge Studios, Inc.<br/>
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267 Distributed under the <a href="http://www.boost.org/LICENSE_1_0.txt">Boost Software License, Version 1.0</a>.</small>
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