-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy path_matrix_8h_source.html
104 lines (104 loc) · 127 KB
/
_matrix_8h_source.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.13"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>Gamedev Framework (gf): Matrix.h Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
extensions: ["tex2jax.js"],
jax: ["input/TeX","output/HTML-CSS"],
});
</script><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
<link href="custom.css" rel="stylesheet" type="text/css"/>
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td id="projectlogo"><img alt="Logo" src="gf_logo.png"/></td>
<td id="projectalign" style="padding-left: 0.5em;">
<div id="projectname">Gamedev Framework (gf)
 <span id="projectnumber">0.6.0</span>
</div>
<div id="projectbrief">A C++11 framework for 2D games</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.13 -->
<script type="text/javascript" src="menudata.js"></script>
<script type="text/javascript" src="menu.js"></script>
<script type="text/javascript">
$(function() {
initMenu('',false,false,'search.php','Search');
});
</script>
<div id="main-nav"></div>
<div id="nav-path" class="navpath">
<ul>
<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_6d069d519ae9d12fa11dd8e685586b60.html">gf</a></li> </ul>
</div>
</div><!-- top -->
<div class="header">
<div class="headertitle">
<div class="title">Matrix.h</div> </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Gamedev Framework (gf)</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * Copyright (C) 2016-2017 Julien Bernard</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This software is provided 'as-is', without any express or implied</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * warranty. In no event will the authors be held liable for any damages</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * arising from the use of this software.</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> *</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * Permission is granted to anyone to use this software for any purpose,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * including commercial applications, and to alter it and redistribute it</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * freely, subject to the following restrictions:</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> *</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * 1. The origin of this software must not be misrepresented; you must not</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * claim that you wrote the original software. If you use this software</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * in a product, an acknowledgment in the product documentation would be</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * appreciated but is not required.</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * 2. Altered source versions must be plainly marked as such, and must not be</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * misrepresented as being the original software.</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * 3. This notice may not be removed or altered from any source distribution.</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> */</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#</span><span class="preprocessor">ifndef</span> <span class="preprocessor">GF_MATRIX_H</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#</span><span class="preprocessor">define</span> <span class="preprocessor">GF_MATRIX_H</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> </div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#</span><span class="preprocessor">include</span> <span class="preprocessor"><</span><span class="preprocessor">cstddef</span><span class="preprocessor">></span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#</span><span class="preprocessor">include</span> <span class="preprocessor"><</span><span class="preprocessor">algorithm</span><span class="preprocessor">></span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#</span><span class="preprocessor">include</span> <a class="code" href="_portability_8h.html">"Portability.h"</a></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#</span><span class="preprocessor">include</span> <a class="code" href="_vector_8h.html">"Vector.h"</a></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">namespace</span> <a class="code" href="namespacegf.html">gf</a> {</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#</span><span class="preprocessor">ifndef</span> <span class="preprocessor">DOXYGEN_SHOULD_SKIP_THIS</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">inline</span> <span class="keyword">namespace</span> v1 {</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#</span><span class="preprocessor">endif</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="comment">/**</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> * @ingroup core</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> * @brief General purpose math matrix</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> *</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> * gf::Matrix represents a matrix with `ROWS` rows and `COLS` columns. The</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> * internal representation uses a [row-major order](https://en.wikipedia.org/wiki/Row-major_order).</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> *</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> * The template parameter `T` is the type of coordinates. It can be any</span></div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> * type that supports arithmetic operations (+, -, *, /).</span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> *</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> * Several specializations are defined for common use cases, especially for</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> * [square matrices](https://en.wikipedia.org/wiki/Square_matrix):</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> *</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"> * - For dimension 2: gf::Matrix<T, 2, 2></span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"> * - For dimension 3: gf::Matrix<T, 3, 3></span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> * - For dimension 4: gf::Matrix<T, 4, 4></span></div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> *</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> * This class was designed according to the article</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> * [On Vector Math Libraries](http://www.reedbeta.com/blog/2013/12/28/on-vector-math-libraries/)</span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"> * by Nathan Reed.</span></div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"> *</span></div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"> * @sa gf::Array2D</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> */</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html"> 59</a></span>  <span class="keyword">struct</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a> {</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="preprocessor">#</span><span class="preprocessor">ifndef</span> <span class="preprocessor">DOXYGEN_SHOULD_SKIP_THIS</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">static_assert</span>(ROWS > 0, <span class="stringliteral">"ROWS must be strictly positive"</span>);</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keyword">static_assert</span>(COLS > 0, <span class="stringliteral">"COLS must be strictly positive"</span>);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="preprocessor">#</span><span class="preprocessor">endif</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">/**</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> * @brief The value type of the elements of the matrix</span></div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> */</span></div><div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#ac8ff968abb67be292136990a382b9662"> 68</a></span>  <span class="keyword">using</span> value_type = T;</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">/**</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"> * @brief The number of rows in the matrix</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment"> */</span></div><div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a3b1cc3ba50dc4021a0b5304b68fba297"> 73</a></span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> std::size_t <a class="code" href="structgf_1_1_matrix.html#a3b1cc3ba50dc4021a0b5304b68fba297">Rows</a> = ROWS;</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">/**</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment"> * @brief The number of columns in the matrix</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment"> */</span></div><div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a61c06d9b075d17d49208df69bfd86a39"> 78</a></span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> std::size_t <a class="code" href="structgf_1_1_matrix.html#a61c06d9b075d17d49208df69bfd86a39">Cols</a> = COLS;</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">/**</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment"> * @brief Default constructor</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment"> */</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="structgf_1_1_matrix.html#a9a55f0fdd6421e47f7722f91bd632eaf">Matrix</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span> </div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">/**</span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment"> * @brief Constructor that fills the matrix with a value.</span></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment"> */</span></div><div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#ab7dcd4b3222cbd291200ffaf02ed8bdc"> 88</a></span>  <span class="keyword">explicit</span> <a class="code" href="structgf_1_1_matrix.html#ab7dcd4b3222cbd291200ffaf02ed8bdc">Matrix</a>(T val) {</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  std::fill_n(data, ROWS * COLS, val);</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  }</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">/**</span></div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment"> * An anonymous union to handle the various representations</span></div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"> */</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">union</span> {</div><div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a3c7f1ae48c0890418dbff40acdb868dd"> 96</a></span>  T grid[ROWS][COLS]; <span class="comment">///< Grid representation</span></div><div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#aa211c76b5b51c90d40a95ef6c80f1ddd"> 97</a></span>  T data[ROWS * COLS]; <span class="comment">///< Array representation</span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  };</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  };</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">/**</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment"> * @ingroup core</span></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment"> * @brief A 2x2 matrix</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment"> *</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment"> * This specialization of gf::Matrix handles linear transformation of 2D</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment"> * vectors. As translation is not a linear transformation but an affine</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment"> * transformation, this specialization is not used in the library. Instead</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"> * use a gf::Matrix<T, 3, 3>. It is provided for convinience.</span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment"> *</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"> * Each element of the matrix can be accessed through a name with a double</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> * letter indicating the column and row of the element (e.g. `xy` indicates</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"> * the first row and second column).</span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment"> *</span></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment"> * A common typedef is defined:</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"> *</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> * - gf::Matrix2f with `float` as `T`</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment"> */</span></div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html"> 119</a></span>  <span class="keyword">struct</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, 2, 2> {</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">/**</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment"> * @brief The value type of the elements of the matrix</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment"> */</span></div><div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a225ece6e3b0582b2962cbc64661e1d46"> 123</a></span>  <span class="keyword">using</span> value_type = T;</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> </div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">/**</span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> * @brief The number of rows in the matrix</span></div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> */</span></div><div class="line"><a name="l00128"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a5222d715f0c309b086f7c3fa17b44ee3"> 128</a></span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> std::size_t <a class="code" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a5222d715f0c309b086f7c3fa17b44ee3">Rows</a> = 2;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="comment">/**</span></div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"> * @brief The number of columns in the matrix</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> */</span></div><div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a54988a14d3a02cc33d058cab02f57159"> 133</a></span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> std::size_t <a class="code" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a54988a14d3a02cc33d058cab02f57159">Cols</a> = 2;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">/**</span></div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment"> * @brief Default constructor</span></div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="comment"> */</span></div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#aa7e2399fc973b8430ede1f4b6a00cd00">Matrix</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="comment">/**</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="comment"> * @brief Constructor that takes all the elements</span></div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="comment"> *</span></div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="comment"> * @param xx The element in the first row and first column</span></div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="comment"> * @param xy The element in the first row and second column</span></div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="comment"> * @param yx The element in the second row and first column</span></div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="comment"> * @param yy The element in the second row and second column</span></div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="comment"> */</span></div><div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a121310c4df0a8e5d770851d0fb2b0596"> 148</a></span>  <span class="keyword">constexpr</span> <a class="code" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a121310c4df0a8e5d770851d0fb2b0596">Matrix</a>(T xx, T xy, T yx, T yy)</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  : data{xx, xy, yx, yy}</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  {</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  }</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="comment">/**</span></div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="comment"> * An anonymous union to handle the various representations</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment"> */</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">union</span> {</div><div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a805168cb03f6c88ad9db7b1c5f36cade"> 158</a></span>  T grid[2][2]; <span class="comment">///< Grid representation</span></div><div class="line"><a name="l00159"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a7ea8fc39c94f1ac5424a9e087dd36541"> 159</a></span>  T data[4]; <span class="comment">///< Array representation</span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keyword">struct</span> {</div><div class="line"><a name="l00161"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a54035fe7bd8f31a63dc450e3af1d1512"> 161</a></span>  T xx, xy;</div><div class="line"><a name="l00162"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#af3ddbba4e0967907ed09cccc0cadca94"> 162</a></span>  T yx, yy;</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  };</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  };</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  };</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="comment">/**</span></div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment"> * @ingroup core</span></div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment"> * @brief A 3x3 matrix</span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment"> *</span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment"> * This specialization of gf::Matrix handles affine transformation of 2D</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment"> * vectors (using homogeneous coordinates).</span></div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment"> *</span></div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="comment"> * Each element of the matrix can be accessed through a name with a double</span></div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="comment"> * letter indicating the column and row of the element (e.g. `xy` indicates</span></div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment"> * the first row and second column).</span></div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment"> *</span></div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment"> * A common typedef is defined:</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment"> *</span></div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment"> * - gf::Matrix3f with `float` as `T`</span></div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="comment"> *</span></div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="comment"> * @sa transform, translate, translation, rotate, rotation, scale, scaling</span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="comment"> */</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00185"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html"> 185</a></span>  <span class="keyword">struct</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, 3, 3> {</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="comment">/**</span></div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment"> * @brief The value type of the elements of the matrix</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment"> */</span></div><div class="line"><a name="l00189"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#a321435e80577e8b954307d96a55e285e"> 189</a></span>  <span class="keyword">using</span> value_type = T;</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span> </div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="comment">/**</span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment"> * @brief The number of rows in the matrix</span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment"> */</span></div><div class="line"><a name="l00194"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#ab4cebda6473789de784e457aa743d05d"> 194</a></span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> std::size_t <a class="code" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#ab4cebda6473789de784e457aa743d05d">Rows</a> = 3;</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span> </div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="comment">/**</span></div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment"> * @brief The number of columns in the matrix</span></div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment"> */</span></div><div class="line"><a name="l00199"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#acac6a6f9c7ef40e7107271535d6daf62"> 199</a></span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> std::size_t <a class="code" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#acac6a6f9c7ef40e7107271535d6daf62">Cols</a> = 3;</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span> </div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="comment">/**</span></div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment"> * @brief Default constructor</span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment"> */</span></div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#af885860c27d51311fb21e6a9a3e5fa7e">Matrix</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span> </div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="comment">/**</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment"> * @brief Constructor that takes all the elements</span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="comment"> *</span></div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment"> * @param xx The element in the first row and first column</span></div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="comment"> * @param xy The element in the first row and second column</span></div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment"> * @param xz The element in the first row and third column</span></div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment"> * @param yx The element in the second row and first column</span></div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="comment"> * @param yy The element in the second row and second column</span></div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="comment"> * @param yz The element in the second row and third column</span></div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="comment"> * @param zx The element in the third row and first column</span></div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="comment"> * @param zy The element in the third row and second column</span></div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="comment"> * @param zz The element in the third row and third column</span></div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment"> */</span></div><div class="line"><a name="l00219"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#a68d0577fb4821c0d67ea2283ae094a93"> 219</a></span>  <span class="keyword">constexpr</span> <a class="code" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#a68d0577fb4821c0d67ea2283ae094a93">Matrix</a>(T xx, T xy, T xz, T yx, T yy, T yz, T zx, T zy, T zz)</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  : data{xx, xy, xz, yx, yy, yz, zx, zy, zz}</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  {</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span> </div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="comment">/**</span></div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="comment"> * An anonymous union to handle the various representations</span></div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="comment"> */</span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keyword">union</span> {</div><div class="line"><a name="l00229"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#a5b9230d5540ba24c00e6d31c052369a0"> 229</a></span>  T grid[3][3]; <span class="comment">///< Grid representation</span></div><div class="line"><a name="l00230"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#a2dbf96af43a9504a64af5e09ae26e6fb"> 230</a></span>  T data[9]; <span class="comment">///< Array representation</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keyword">struct</span> {</div><div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#ac43857ee2435a2b2c3825f8d32d167b1"> 232</a></span>  T xx, xy, xz;</div><div class="line"><a name="l00233"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#a9c4ec1e1082dd60f413981f8b9dd98cc"> 233</a></span>  T yx, yy, yz;</div><div class="line"><a name="l00234"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#a5b7300e4b8f9189c87e6b7542422b9bd"> 234</a></span>  T zx, zy, zz;</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  };</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  };</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  };</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span> </div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="comment">/**</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="comment"> * @ingroup core</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="comment"> * @brief A 4x4 matrix</span></div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment"> *</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="comment"> * This specialization of gf::Matrix handles affine transformation of 3D</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment"> * vectors (using homogeneous coordinates).</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="comment"> *</span></div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="comment"> * Each element of the matrix can be accessed through a name with a double</span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="comment"> * letter indicating the column and row of the element (e.g. `xy` indicates</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="comment"> * the first row and second column).</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="comment"> *</span></div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="comment"> * A common typedef is defined:</span></div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="comment"> *</span></div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="comment"> * - gf::Matrix4f with `float` as `T`</span></div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="comment"> */</span></div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00255"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html"> 255</a></span>  <span class="keyword">struct</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, 4, 4> {</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="comment">/**</span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span> <span class="comment"> * @brief The value type of the elements of the matrix</span></div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span> <span class="comment"> */</span></div><div class="line"><a name="l00259"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#a159a43b8eebc35975d2e7509a433530a"> 259</a></span>  <span class="keyword">using</span> value_type = T;</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="comment">/**</span></div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="comment"> * @brief The number of rows in the matrix</span></div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="comment"> */</span></div><div class="line"><a name="l00264"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#ac11538b744372663efa74e7e0ddfd8da"> 264</a></span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> std::size_t <a class="code" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#ac11538b744372663efa74e7e0ddfd8da">Rows</a> = 4;</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span> </div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">/**</span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment"> * @brief The number of columns in the matrix</span></div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment"> */</span></div><div class="line"><a name="l00269"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#aa0bd521cde478e861a91218f6aa7dd06"> 269</a></span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> std::size_t <a class="code" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#aa0bd521cde478e861a91218f6aa7dd06">Cols</a> = 4;</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span> </div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="comment">/**</span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="comment"> * @brief Constructor that takes all the elements</span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="comment"> *</span></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="comment"> * @param xx The element in the first row and first column</span></div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="comment"> * @param xy The element in the first row and second column</span></div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="comment"> * @param xz The element in the first row and third column</span></div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="comment"> * @param xw The element in the first row and fourth column</span></div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="comment"> * @param yx The element in the second row and first column</span></div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span> <span class="comment"> * @param yy The element in the second row and second column</span></div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span> <span class="comment"> * @param yz The element in the second row and third column</span></div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="comment"> * @param yw The element in the second row and fourth column</span></div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="comment"> * @param zx The element in the third row and first column</span></div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="comment"> * @param zy The element in the third row and second column</span></div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span> <span class="comment"> * @param zz The element in the third row and third column</span></div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="comment"> * @param zw The element in the third row and fourth column</span></div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="comment"> * @param wx The element in the fourth row and first column</span></div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="comment"> * @param wy The element in the fourth row and second column</span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="comment"> * @param wz The element in the fourth row and third column</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="comment"> * @param ww The element in the fourth row and fourth column</span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="comment"> */</span></div><div class="line"><a name="l00291"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#a5eee260dabb51b67890390d0f700158c"> 291</a></span>  <span class="keyword">constexpr</span> <a class="code" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#a5eee260dabb51b67890390d0f700158c">Matrix</a>(T xx, T xy, T xz, T xw, T yx, T yy, T yz, T yw, T zx, T zy, T zz, T zw, T wx, T wy, T wz, T ww)</div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  : data{xx, xy, xz, xw, yx, yy, yz, yw, zx, zy, zz, zw, wx, wy, wz, ww}</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  {</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span> </div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  }</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span> </div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="comment">/**</span></div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span> <span class="comment"> * An anonymous union to handle the various representations</span></div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="comment"> */</span></div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keyword">union</span> {</div><div class="line"><a name="l00301"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#a62ee98dff2906e5254bc7c292801ece6"> 301</a></span>  T grid[4][4]; <span class="comment">///< Grid representation</span></div><div class="line"><a name="l00302"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#a4569e2ac9d4bf65cf42d975b7df82348"> 302</a></span>  T data[16]; <span class="comment">///< Array representation</span></div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keyword">struct</span> {</div><div class="line"><a name="l00304"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#a0dd01236f8d5e42af91cf02b3d89612a"> 304</a></span>  T xx, xy, xz, xw;</div><div class="line"><a name="l00305"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#ac44d05077c7a87ad3dc03e8ddc28388d"> 305</a></span>  T yx, yy, yz, yw;</div><div class="line"><a name="l00306"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#a6698bb80eb60a3eee027d389d0a41db8"> 306</a></span>  T zx, zy, zz, zw;</div><div class="line"><a name="l00307"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#a4a4922aa0a0e7213fd27b830846b2222"> 307</a></span>  T wx, wy, wz, ww;</div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  };</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  };</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  };</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="comment">/**</span></div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="comment"> * @ingroup core</span></div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="comment"> * @brief A float square matrix of size 2</span></div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span> <span class="comment"> *</span></div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span> <span class="comment"> * @sa gf::Matrix, gf::Matrix<T, 2, 2></span></div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span> <span class="comment"> */</span></div><div class="line"><a name="l00318"></a><span class="lineno"><a class="line" href="group__core.html#ga15242198f27434d7c9945ff0657b3347"> 318</a></span>  <span class="keyword">using</span> Matrix2f = <a class="code" href="structgf_1_1_matrix.html">Matrix</a><<span class="keywordtype">float</span>, 2, 2>;</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span> </div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="comment">/**</span></div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span> <span class="comment"> * @ingroup core</span></div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="comment"> * @brief A float square matrix of size 3</span></div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span> <span class="comment"> *</span></div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span> <span class="comment"> * @sa gf::Matrix, gf::Matrix<T, 3, 3></span></div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span> <span class="comment"> */</span></div><div class="line"><a name="l00326"></a><span class="lineno"><a class="line" href="group__core.html#gae702e6021057443ca43f94b32618bbc2"> 326</a></span>  <span class="keyword">using</span> Matrix3f = <a class="code" href="structgf_1_1_matrix.html">Matrix</a><<span class="keywordtype">float</span>, 3, 3>;</div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span> </div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="comment">/**</span></div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="comment"> * @ingroup core</span></div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span> <span class="comment"> * @brief A float square matrix of size 4</span></div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span> <span class="comment"> *</span></div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span> <span class="comment"> * @sa gf::Matrix, gf::Matrix<T, 4, 4></span></div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span> <span class="comment"> */</span></div><div class="line"><a name="l00334"></a><span class="lineno"><a class="line" href="group__core.html#ga602d9345cc8ee188179c52bc1c854771"> 334</a></span>  <span class="keyword">using</span> Matrix4f = <a class="code" href="structgf_1_1_matrix.html">Matrix</a><<span class="keywordtype">float</span>, 4, 4>;</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span> </div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span> <span class="comment">// MSVC does not like extern template</span></div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span> <span class="preprocessor">#</span><span class="preprocessor">ifndef</span> <span class="preprocessor">_MSC_VER</span></div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keyword">extern</span> <span class="keyword">template</span> <span class="keyword">struct</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><<span class="keywordtype">float</span>, 2, 2>;</div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keyword">extern</span> <span class="keyword">template</span> <span class="keyword">struct</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><<span class="keywordtype">float</span>, 3, 3>;</div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keyword">extern</span> <span class="keyword">template</span> <span class="keyword">struct</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><<span class="keywordtype">float</span>, 4, 4>;</div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span> <span class="preprocessor">#</span><span class="preprocessor">endif</span></div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="comment">/*</span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span> <span class="comment"> * equality operations</span></div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span> <span class="comment"> */</span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span> </div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <span class="comment">/**</span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="comment"> * @brief Equality operator between two matrices</span></div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="comment"> */</span></div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00353"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a3fae58c56124d6da3f13dd6ce09d5be8"> 353</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structgf_1_1_matrix.html#a3fae58c56124d6da3f13dd6ce09d5be8">operator</a>==(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& rhs) {</div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keywordflow">if</span> (lhs.grid[i][j] != rhs.grid[i][j]) {</div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  }</div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  }</div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  }</div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span> </div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  }</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span> </div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="comment">/**</span></div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span> <span class="comment"> * @brief Inequality operator between two matrices</span></div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="comment"> */</span></div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00371"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#aaf854087604c8e76c1d65d7425662458"> 371</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structgf_1_1_matrix.html#aaf854087604c8e76c1d65d7425662458">operator</a>!=(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& rhs) {</div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="keywordflow">return</span> !(lhs == rhs);</div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  }</div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span> </div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="comment">/*</span></div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span> <span class="comment"> * unary operators</span></div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="comment"> */</span></div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span> </div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="comment">/**</span></div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span> <span class="comment"> * @brief Component-wise unary minus</span></div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <span class="comment"> */</span></div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00385"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a175ad214c0035feb093ed8f0f21a4aba"> 385</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> <a class="code" href="structgf_1_1_matrix.html#a175ad214c0035feb093ed8f0f21a4aba">operator</a>-(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& val) {</div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> out;</div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span> </div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  out.grid[i][j] = - val.grid[i][j];</div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  }</div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  }</div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span> </div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  }</div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span> </div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="comment">/*</span></div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span> <span class="comment"> * arithmetic component-wise operations</span></div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="comment"> */</span></div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span> </div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="comment">/**</span></div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="comment"> * @brief Component-wise addition</span></div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="comment"> */</span></div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00407"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#ad1d8308b257224ea492a151a4acd334b"> 407</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> <a class="code" href="structgf_1_1_matrix.html#ad1d8308b257224ea492a151a4acd334b">operator</a>+(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& rhs) {</div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> out;</div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span> </div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  out.grid[i][j] = lhs.grid[i][j] + rhs.grid[i][j];</div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  }</div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  }</div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span> </div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  }</div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span> </div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="comment">/**</span></div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="comment"> * @brief Component-wise addition and assignment</span></div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span> <span class="comment"> */</span></div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00425"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#ae4bbdc6d64dc049d4ae10ec02c5cf606"> 425</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& <a class="code" href="structgf_1_1_matrix.html#ae4bbdc6d64dc049d4ae10ec02c5cf606">operator</a>+=(<a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& rhs) {</div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  lhs.grid[i][j] += rhs.grid[i][j];</div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  }</div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  }</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span> </div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  }</div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span> </div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span> </div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="comment">/**</span></div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span> <span class="comment"> * @brief Component-wise substraction</span></div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span> <span class="comment"> */</span></div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00442"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#ac26aa74331714f1eab998729e55d8de5"> 442</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> <a class="code" href="structgf_1_1_matrix.html#ac26aa74331714f1eab998729e55d8de5">operator</a>-(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& rhs) {</div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> out;</div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span> </div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  out.grid[i][j] = lhs.grid[i][j] - rhs.grid[i][j];</div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  }</div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  }</div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span> </div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  }</div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span> </div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <span class="comment">/**</span></div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span> <span class="comment"> * @brief Component-wise substraction and assignment</span></div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span> <span class="comment"> */</span></div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00460"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a58965ee565b58748c00fd837148f55ae"> 460</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& <a class="code" href="structgf_1_1_matrix.html#a58965ee565b58748c00fd837148f55ae">operator</a>-=(<a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& rhs) {</div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  lhs.grid[i][j] -= rhs.grid[i][j];</div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  }</div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  }</div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span> </div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  }</div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span> </div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  <span class="comment">/*</span></div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span> <span class="comment"> * multiplication and division</span></div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span> <span class="comment"> */</span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span> </div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  <span class="comment">/**</span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span> <span class="comment"> * @brief Right scalar multiplication</span></div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span> <span class="comment"> */</span></div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00480"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a6bc29b6563af3ff0733a7a96b07553d1"> 480</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> <a class="code" href="structgf_1_1_matrix.html#a6bc29b6563af3ff0733a7a96b07553d1">operator</a>*(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, T rhs) {</div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> out;</div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span> </div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  out.grid[i][j] = lhs.grid[i][j] * rhs;</div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  }</div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  }</div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span> </div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  }</div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span> </div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <span class="comment">/**</span></div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span> <span class="comment"> * @brief Right scalar multiplication and assignment</span></div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span> <span class="comment"> */</span></div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00498"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a1896f0873100ff725cf5e878037b5781"> 498</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& <a class="code" href="structgf_1_1_matrix.html#a1896f0873100ff725cf5e878037b5781">operator</a>*=(<a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, T rhs) {</div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  lhs.grid[i][j] *= rhs;</div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  }</div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  }</div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span> </div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  }</div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span> </div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="comment">/**</span></div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span> <span class="comment"> * @brief Left scalar multiplication</span></div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span> <span class="comment"> */</span></div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00514"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#aad1e642c2558507bd953b6d6e169ece5"> 514</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> <a class="code" href="structgf_1_1_matrix.html#aad1e642c2558507bd953b6d6e169ece5">operator</a>*(T lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& rhs) {</div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> out;</div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span> </div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  out.grid[i][j] = lhs * rhs.grid[i][j];</div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  }</div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  }</div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span> </div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  }</div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span> </div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  <span class="comment">/**</span></div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span> <span class="comment"> * @brief Right scalar division</span></div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span> <span class="comment"> */</span></div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00532"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#afdda645b618aa15d0b7dc5a7cb6cd768"> 532</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> <a class="code" href="structgf_1_1_matrix.html#afdda645b618aa15d0b7dc5a7cb6cd768">operator</a>/(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, T rhs) {</div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS> out;</div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span> </div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  out.grid[i][j] = lhs.grid[i][j] / rhs;</div><div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  }</div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  }</div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span> </div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  }</div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span> </div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="comment">/**</span></div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span> <span class="comment"> * @brief Right scalar division and assignment</span></div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span> <span class="comment"> */</span></div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t ROWS, std::size_t COLS></div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00550"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a1fd5f4f6e232f151e470f7dd435a9025"> 550</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& <a class="code" href="structgf_1_1_matrix.html#a1fd5f4f6e232f151e470f7dd435a9025">operator</a>/=(<a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, ROWS, COLS>& lhs, T rhs) {</div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ROWS; ++i) {</div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < COLS; ++j) {</div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  lhs.grid[i][j] /= rhs;</div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  }</div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  }</div><div class="line"><a name="l00556"></a><span class="lineno"> 556</span> </div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  }</div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span> </div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <span class="comment">/**</span></div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span> <span class="comment"> * @brief Matrix-vector multiplication</span></div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span> <span class="comment"> */</span></div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t S1, std::size_t S2></div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00566"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a9cbdbaf0c2e82269adcf7d91a58ba29e"> 566</a></span>  <a class="code" href="structgf_1_1_vector.html">Vector</a><T, S1> <a class="code" href="structgf_1_1_matrix.html#a9cbdbaf0c2e82269adcf7d91a58ba29e">operator</a>*(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, S1, S2>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_vector.html">Vector</a><T, S2>& rhs) {</div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <a class="code" href="structgf_1_1_vector.html">Vector</a><T, S1> out;</div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span> </div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < S1; ++i) {</div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  T val{0};</div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span> </div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < S2; ++j) {</div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  val += lhs.grid[i][j] * rhs.data[j];</div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  }</div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span> </div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  out.data[i] = val;</div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  }</div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span> </div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  }</div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span> </div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <span class="comment">/**</span></div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span> <span class="comment"> * @brief Vector-matrix multiplication</span></div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span> <span class="comment"> */</span></div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t S1, std::size_t S2></div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00588"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a04f3ddcef53ccd6efc1f791adf2c8aa7"> 588</a></span>  <a class="code" href="structgf_1_1_vector.html">Vector</a><T, S2> <a class="code" href="structgf_1_1_matrix.html#a04f3ddcef53ccd6efc1f791adf2c8aa7">operator</a>*(<span class="keyword">const</span> <a class="code" href="structgf_1_1_vector.html">Vector</a><T, S1>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, S1, S2>& rhs) {</div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  <a class="code" href="structgf_1_1_vector.html">Vector</a><T, S2> out;</div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span> </div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < S2; ++j) {</div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  T val{0};</div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span> </div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < S1; ++i) {</div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  val += lhs.data[i] * rhs.grid[i][j];</div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  }</div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span> </div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  out.data[j] = val;</div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  }</div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span> </div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  }</div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span> </div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span> </div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  <span class="comment">/**</span></div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span> <span class="comment"> * @brief Matrix-matrix multiplication</span></div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span> <span class="comment"> */</span></div><div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t S1, std::size_t S2, std::size_t S3></div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00611"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a547c1dbd7ede968e6c359bbe5a02813e"> 611</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, S1, S3> <a class="code" href="structgf_1_1_matrix.html#a547c1dbd7ede968e6c359bbe5a02813e">operator</a>*(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, S1, S2>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, S2, S3>& rhs) {</div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, S1, S3> out;</div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span> </div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < S1; ++i) {</div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < S3; ++j) {</div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  T val{0};</div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span> </div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <span class="keywordflow">for</span> (std::size_t k = 0; k < S2; ++k) {</div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  val += lhs.grid[i][k] * rhs.grid[k][j];</div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  }</div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span> </div><div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  out.grid[i][j] = val;</div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  }</div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  }</div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span> </div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  }</div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span> </div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="comment">/**</span></div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span> <span class="comment"> * @brief Matrix-matrix multiplication and assignment</span></div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span> <span class="comment"> *</span></div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span> <span class="comment"> * This operation is only available for square matrices.</span></div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span> <span class="comment"> */</span></div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t N></div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00637"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a678f083b331b43ba919af9a55ca24e6b"> 637</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, N, N>& <a class="code" href="structgf_1_1_matrix.html#a678f083b331b43ba919af9a55ca24e6b">operator</a>*=(<a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, N, N>& lhs, <span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, N, N>& rhs) {</div><div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  lhs = lhs * rhs;</div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  }</div><div class="line"><a name="l00641"></a><span class="lineno"> 641</span> </div><div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="comment">/*</span></div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span> <span class="comment"> * usual operations</span></div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span> <span class="comment"> */</span></div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span> </div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  <span class="comment">/**</span></div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span> <span class="comment"> * @brief Identity matrix</span></div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span> <span class="comment"> *</span></div><div class="line"><a name="l00650"></a><span class="lineno"> 650</span> <span class="comment"> * @sa gf::identityTransform()</span></div><div class="line"><a name="l00651"></a><span class="lineno"> 651</span> <span class="comment"> */</span></div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00654"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a523fecc4b735d067a99e364f3244311d"> 654</a></span>  MatrixType <a class="code" href="structgf_1_1_matrix.html#a523fecc4b735d067a99e364f3244311d">identity</a>() {</div><div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="keyword">static_assert</span>(MatrixType::Rows == MatrixType::Cols, <span class="stringliteral">"identity() is only defined for square matrices."</span>);</div><div class="line"><a name="l00656"></a><span class="lineno"> 656</span> </div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  MatrixType out;</div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span> </div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::value_type value_type;</div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span> </div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < MatrixType::Rows; ++i) {</div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < MatrixType::Cols; ++j) {</div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  out.grid[i][j] = (i == j) ? value_type{1} : value_type{0};</div><div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  }</div><div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  }</div><div class="line"><a name="l00666"></a><span class="lineno"> 666</span> </div><div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  }</div><div class="line"><a name="l00669"></a><span class="lineno"> 669</span> </div><div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  <span class="comment">/**</span></div><div class="line"><a name="l00671"></a><span class="lineno"> 671</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00672"></a><span class="lineno"> 672</span> <span class="comment"> * @brief Transposition of a matrix</span></div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span> <span class="comment"> */</span></div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, std::size_t S1, std::size_t S2></div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00676"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a7d5d2aa15c3d405aea61149e82acd0f4"> 676</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, S2, S1> <a class="code" href="structgf_1_1_matrix.html#a7d5d2aa15c3d405aea61149e82acd0f4">transpose</a>(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, S1, S2>& mat) {</div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, S2, S1> out;</div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span> </div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < S1; ++i) {</div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < S2; ++j) {</div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  out.grid[j][i] = mat.grid[i][j];</div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  }</div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  }</div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span> </div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  }</div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span> </div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  <span class="comment">// https://en.wikipedia.org/wiki/Invertible_matrix</span></div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span> </div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <span class="comment">/**</span></div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00692"></a><span class="lineno"> 692</span> <span class="comment"> * @brief Inversion of a 2x2 matrix</span></div><div class="line"><a name="l00693"></a><span class="lineno"> 693</span> <span class="comment"> */</span></div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00696"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#a2b8bad7d2cc95572352513a6e8963a76"> 696</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, 2, 2> <a class="code" href="structgf_1_1_matrix.html#a2b8bad7d2cc95572352513a6e8963a76">invert</a>(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, 2, 2>& mat) {</div><div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, 2, 2> out;</div><div class="line"><a name="l00698"></a><span class="lineno"> 698</span> </div><div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  out.xx = mat.yy;</div><div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  out.xy = - mat.xy;</div><div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  out.yx = - mat.yx;</div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  out.yy = mat.xx;</div><div class="line"><a name="l00703"></a><span class="lineno"> 703</span> </div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  T det = mat.xx * mat.yy - mat.yx * mat.xy;</div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  out /= det;</div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  }</div><div class="line"><a name="l00708"></a><span class="lineno"> 708</span> </div><div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  <span class="comment">/**</span></div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span> <span class="comment"> * @relates Matrix</span></div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span> <span class="comment"> * @brief Inversion of a 3x3 matrix</span></div><div class="line"><a name="l00712"></a><span class="lineno"> 712</span> <span class="comment"> */</span></div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00715"></a><span class="lineno"><a class="line" href="structgf_1_1_matrix.html#aa0086ad26b9fdc2b4010eaf37aa5f2e5"> 715</a></span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, 3, 3> <a class="code" href="structgf_1_1_matrix.html#aa0086ad26b9fdc2b4010eaf37aa5f2e5">invert</a>(<span class="keyword">const</span> <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, 3, 3>& mat) {</div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  <a class="code" href="structgf_1_1_matrix.html">Matrix</a><T, 3, 3> out;</div><div class="line"><a name="l00717"></a><span class="lineno"> 717</span> </div><div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  out.xx = mat.yy * mat.zz - mat.zy * mat.yz;</div><div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  out.xy = - (mat.xy * mat.zz - mat.zy * mat.xz);</div><div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  out.xz = mat.xy * mat.yz - mat.yy * mat.xz;</div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  out.yx = - (mat.yx * mat.zz - mat.zx * mat.yz);</div><div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  out.yy = mat.xx * mat.zz - mat.zx * mat.xz;</div><div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  out.yz = - (mat.xx * mat.yz - mat.yx * mat.xz);</div><div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  out.zx = mat.yx * mat.zy - mat.zx * mat.yy;</div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  out.zy = - (mat.xx * mat.zy - mat.zx * mat.xy);</div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  out.zz = mat.xx * mat.yy - mat.yx * mat.xy;</div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span> </div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  T det = mat.xx * out.xx + mat.xy * out.yx + mat.xz * out.zx;</div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  out /= det;</div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  }</div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span> </div><div class="line"><a name="l00733"></a><span class="lineno"> 733</span> <span class="preprocessor">#</span><span class="preprocessor">ifndef</span> <span class="preprocessor">DOXYGEN_SHOULD_SKIP_THIS</span></div><div class="line"><a name="l00734"></a><span class="lineno"> 734</span> }</div><div class="line"><a name="l00735"></a><span class="lineno"> 735</span> <span class="preprocessor">#</span><span class="preprocessor">endif</span></div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span> }</div><div class="line"><a name="l00737"></a><span class="lineno"> 737</span> </div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span> <span class="preprocessor">#</span><span class="preprocessor">endif</span> <span class="comment">// GAME_MATRIX_H</span></div><div class="ttc" id="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4_html_a5222d715f0c309b086f7c3fa17b44ee3"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a5222d715f0c309b086f7c3fa17b44ee3">gf::Matrix< T, 2, 2 >::Rows</a></div><div class="ttdeci">static constexpr std::size_t Rows</div><div class="ttdoc">The number of rows in the matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:128</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_aa0086ad26b9fdc2b4010eaf37aa5f2e5"><div class="ttname"><a href="structgf_1_1_matrix.html#aa0086ad26b9fdc2b4010eaf37aa5f2e5">gf::Matrix::invert</a></div><div class="ttdeci">Matrix< T, 3, 3 > invert(const Matrix< T, 3, 3 > &mat)</div><div class="ttdoc">Inversion of a 3x3 matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:715</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a7d5d2aa15c3d405aea61149e82acd0f4"><div class="ttname"><a href="structgf_1_1_matrix.html#a7d5d2aa15c3d405aea61149e82acd0f4">gf::Matrix::transpose</a></div><div class="ttdeci">Matrix< T, S2, S1 > transpose(const Matrix< T, S1, S2 > &mat)</div><div class="ttdoc">Transposition of a matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:676</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a3fae58c56124d6da3f13dd6ce09d5be8"><div class="ttname"><a href="structgf_1_1_matrix.html#a3fae58c56124d6da3f13dd6ce09d5be8">gf::Matrix::operator==</a></div><div class="ttdeci">bool operator==(const Matrix< T, ROWS, COLS > &lhs, const Matrix< T, ROWS, COLS > &rhs)</div><div class="ttdoc">Equality operator between two matrices. </div><div class="ttdef"><b>Definition:</b> Matrix.h:353</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_ad1d8308b257224ea492a151a4acd334b"><div class="ttname"><a href="structgf_1_1_matrix.html#ad1d8308b257224ea492a151a4acd334b">gf::Matrix::operator+</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > operator+(const Matrix< T, ROWS, COLS > &lhs, const Matrix< T, ROWS, COLS > &rhs)</div><div class="ttdoc">Component-wise addition. </div><div class="ttdef"><b>Definition:</b> Matrix.h:407</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_aad1e642c2558507bd953b6d6e169ece5"><div class="ttname"><a href="structgf_1_1_matrix.html#aad1e642c2558507bd953b6d6e169ece5">gf::Matrix::operator*</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > operator*(T lhs, const Matrix< T, ROWS, COLS > &rhs)</div><div class="ttdoc">Left scalar multiplication. </div><div class="ttdef"><b>Definition:</b> Matrix.h:514</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a2b8bad7d2cc95572352513a6e8963a76"><div class="ttname"><a href="structgf_1_1_matrix.html#a2b8bad7d2cc95572352513a6e8963a76">gf::Matrix::invert</a></div><div class="ttdeci">Matrix< T, 2, 2 > invert(const Matrix< T, 2, 2 > &mat)</div><div class="ttdoc">Inversion of a 2x2 matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:696</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a1fd5f4f6e232f151e470f7dd435a9025"><div class="ttname"><a href="structgf_1_1_matrix.html#a1fd5f4f6e232f151e470f7dd435a9025">gf::Matrix::operator/=</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > & operator/=(Matrix< T, ROWS, COLS > &lhs, T rhs)</div><div class="ttdoc">Right scalar division and assignment. </div><div class="ttdef"><b>Definition:</b> Matrix.h:550</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4_html_a121310c4df0a8e5d770851d0fb2b0596"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a121310c4df0a8e5d770851d0fb2b0596">gf::Matrix< T, 2, 2 >::Matrix</a></div><div class="ttdeci">constexpr Matrix(T xx, T xy, T yx, T yy)</div><div class="ttdoc">Constructor that takes all the elements. </div><div class="ttdef"><b>Definition:</b> Matrix.h:148</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_aaf854087604c8e76c1d65d7425662458"><div class="ttname"><a href="structgf_1_1_matrix.html#aaf854087604c8e76c1d65d7425662458">gf::Matrix::operator!=</a></div><div class="ttdeci">bool operator!=(const Matrix< T, ROWS, COLS > &lhs, const Matrix< T, ROWS, COLS > &rhs)</div><div class="ttdoc">Inequality operator between two matrices. </div><div class="ttdef"><b>Definition:</b> Matrix.h:371</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a523fecc4b735d067a99e364f3244311d"><div class="ttname"><a href="structgf_1_1_matrix.html#a523fecc4b735d067a99e364f3244311d">gf::Matrix::identity</a></div><div class="ttdeci">MatrixType identity()</div><div class="ttdoc">Identity matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:654</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a04f3ddcef53ccd6efc1f791adf2c8aa7"><div class="ttname"><a href="structgf_1_1_matrix.html#a04f3ddcef53ccd6efc1f791adf2c8aa7">gf::Matrix::operator*</a></div><div class="ttdeci">Vector< T, S2 > operator*(const Vector< T, S1 > &lhs, const Matrix< T, S1, S2 > &rhs)</div><div class="ttdoc">Vector-matrix multiplication. </div><div class="ttdef"><b>Definition:</b> Matrix.h:588</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_ab7dcd4b3222cbd291200ffaf02ed8bdc"><div class="ttname"><a href="structgf_1_1_matrix.html#ab7dcd4b3222cbd291200ffaf02ed8bdc">gf::Matrix::Matrix</a></div><div class="ttdeci">Matrix(T val)</div><div class="ttdoc">Constructor that fills the matrix with a value. </div><div class="ttdef"><b>Definition:</b> Matrix.h:88</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a58965ee565b58748c00fd837148f55ae"><div class="ttname"><a href="structgf_1_1_matrix.html#a58965ee565b58748c00fd837148f55ae">gf::Matrix::operator-=</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > & operator-=(Matrix< T, ROWS, COLS > &lhs, const Matrix< T, ROWS, COLS > &rhs)</div><div class="ttdoc">Component-wise substraction and assignment. </div><div class="ttdef"><b>Definition:</b> Matrix.h:460</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_ac26aa74331714f1eab998729e55d8de5"><div class="ttname"><a href="structgf_1_1_matrix.html#ac26aa74331714f1eab998729e55d8de5">gf::Matrix::operator-</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > operator-(const Matrix< T, ROWS, COLS > &lhs, const Matrix< T, ROWS, COLS > &rhs)</div><div class="ttdoc">Component-wise substraction. </div><div class="ttdef"><b>Definition:</b> Matrix.h:442</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_afdda645b618aa15d0b7dc5a7cb6cd768"><div class="ttname"><a href="structgf_1_1_matrix.html#afdda645b618aa15d0b7dc5a7cb6cd768">gf::Matrix::operator/</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > operator/(const Matrix< T, ROWS, COLS > &lhs, T rhs)</div><div class="ttdoc">Right scalar division. </div><div class="ttdef"><b>Definition:</b> Matrix.h:532</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a9cbdbaf0c2e82269adcf7d91a58ba29e"><div class="ttname"><a href="structgf_1_1_matrix.html#a9cbdbaf0c2e82269adcf7d91a58ba29e">gf::Matrix::operator*</a></div><div class="ttdeci">Vector< T, S1 > operator*(const Matrix< T, S1, S2 > &lhs, const Vector< T, S2 > &rhs)</div><div class="ttdoc">Matrix-vector multiplication. </div><div class="ttdef"><b>Definition:</b> Matrix.h:566</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a547c1dbd7ede968e6c359bbe5a02813e"><div class="ttname"><a href="structgf_1_1_matrix.html#a547c1dbd7ede968e6c359bbe5a02813e">gf::Matrix::operator*</a></div><div class="ttdeci">Matrix< T, S1, S3 > operator*(const Matrix< T, S1, S2 > &lhs, const Matrix< T, S2, S3 > &rhs)</div><div class="ttdoc">Matrix-matrix multiplication. </div><div class="ttdef"><b>Definition:</b> Matrix.h:611</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4_html_ac11538b744372663efa74e7e0ddfd8da"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#ac11538b744372663efa74e7e0ddfd8da">gf::Matrix< T, 4, 4 >::Rows</a></div><div class="ttdeci">static constexpr std::size_t Rows</div><div class="ttdoc">The number of rows in the matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:264</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4_html_af885860c27d51311fb21e6a9a3e5fa7e"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#af885860c27d51311fb21e6a9a3e5fa7e">gf::Matrix< T, 3, 3 >::Matrix</a></div><div class="ttdeci">Matrix()=default</div><div class="ttdoc">Default constructor. </div></div>
<div class="ttc" id="structgf_1_1_matrix_html"><div class="ttname"><a href="structgf_1_1_matrix.html">gf::Matrix</a></div><div class="ttdoc">General purpose math matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:59</div></div>
<div class="ttc" id="namespacegf_html"><div class="ttname"><a href="namespacegf.html">gf</a></div><div class="ttdoc">The namespace for gf classes. </div><div class="ttdef"><b>Definition:</b> Action.h:34</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4_html_aa0bd521cde478e861a91218f6aa7dd06"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#aa0bd521cde478e861a91218f6aa7dd06">gf::Matrix< T, 4, 4 >::Cols</a></div><div class="ttdeci">static constexpr std::size_t Cols</div><div class="ttdoc">The number of columns in the matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:269</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a9a55f0fdd6421e47f7722f91bd632eaf"><div class="ttname"><a href="structgf_1_1_matrix.html#a9a55f0fdd6421e47f7722f91bd632eaf">gf::Matrix::Matrix</a></div><div class="ttdeci">Matrix()=default</div><div class="ttdoc">Default constructor. </div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a61c06d9b075d17d49208df69bfd86a39"><div class="ttname"><a href="structgf_1_1_matrix.html#a61c06d9b075d17d49208df69bfd86a39">gf::Matrix::Cols</a></div><div class="ttdeci">static constexpr std::size_t Cols</div><div class="ttdoc">The number of columns in the matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:78</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a1896f0873100ff725cf5e878037b5781"><div class="ttname"><a href="structgf_1_1_matrix.html#a1896f0873100ff725cf5e878037b5781">gf::Matrix::operator*=</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > & operator*=(Matrix< T, ROWS, COLS > &lhs, T rhs)</div><div class="ttdoc">Right scalar multiplication and assignment. </div><div class="ttdef"><b>Definition:</b> Matrix.h:498</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4_html_a68d0577fb4821c0d67ea2283ae094a93"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#a68d0577fb4821c0d67ea2283ae094a93">gf::Matrix< T, 3, 3 >::Matrix</a></div><div class="ttdeci">constexpr Matrix(T xx, T xy, T xz, T yx, T yy, T yz, T zx, T zy, T zz)</div><div class="ttdoc">Constructor that takes all the elements. </div><div class="ttdef"><b>Definition:</b> Matrix.h:219</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a678f083b331b43ba919af9a55ca24e6b"><div class="ttname"><a href="structgf_1_1_matrix.html#a678f083b331b43ba919af9a55ca24e6b">gf::Matrix::operator*=</a></div><div class="ttdeci">Matrix< T, N, N > & operator*=(Matrix< T, N, N > &lhs, const Matrix< T, N, N > &rhs)</div><div class="ttdoc">Matrix-matrix multiplication and assignment. </div><div class="ttdef"><b>Definition:</b> Matrix.h:637</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_ae4bbdc6d64dc049d4ae10ec02c5cf606"><div class="ttname"><a href="structgf_1_1_matrix.html#ae4bbdc6d64dc049d4ae10ec02c5cf606">gf::Matrix::operator+=</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > & operator+=(Matrix< T, ROWS, COLS > &lhs, const Matrix< T, ROWS, COLS > &rhs)</div><div class="ttdoc">Component-wise addition and assignment. </div><div class="ttdef"><b>Definition:</b> Matrix.h:425</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4_html_a54988a14d3a02cc33d058cab02f57159"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#a54988a14d3a02cc33d058cab02f57159">gf::Matrix< T, 2, 2 >::Cols</a></div><div class="ttdeci">static constexpr std::size_t Cols</div><div class="ttdoc">The number of columns in the matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:133</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4_html_aa7e2399fc973b8430ede1f4b6a00cd00"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_012_00_012_01_4.html#aa7e2399fc973b8430ede1f4b6a00cd00">gf::Matrix< T, 2, 2 >::Matrix</a></div><div class="ttdeci">Matrix()=default</div><div class="ttdoc">Default constructor. </div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a175ad214c0035feb093ed8f0f21a4aba"><div class="ttname"><a href="structgf_1_1_matrix.html#a175ad214c0035feb093ed8f0f21a4aba">gf::Matrix::operator-</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > operator-(const Matrix< T, ROWS, COLS > &val)</div><div class="ttdoc">Component-wise unary minus. </div><div class="ttdef"><b>Definition:</b> Matrix.h:385</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a3b1cc3ba50dc4021a0b5304b68fba297"><div class="ttname"><a href="structgf_1_1_matrix.html#a3b1cc3ba50dc4021a0b5304b68fba297">gf::Matrix::Rows</a></div><div class="ttdeci">static constexpr std::size_t Rows</div><div class="ttdoc">The number of rows in the matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:73</div></div>
<div class="ttc" id="structgf_1_1_vector_html"><div class="ttname"><a href="structgf_1_1_vector.html">gf::Vector</a></div><div class="ttdoc">General purpose math vector. </div><div class="ttdef"><b>Definition:</b> Vector.h:60</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4_html_a5eee260dabb51b67890390d0f700158c"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_014_00_014_01_4.html#a5eee260dabb51b67890390d0f700158c">gf::Matrix< T, 4, 4 >::Matrix</a></div><div class="ttdeci">constexpr Matrix(T xx, T xy, T xz, T xw, T yx, T yy, T yz, T yw, T zx, T zy, T zz, T zw, T wx, T wy, T wz, T ww)</div><div class="ttdoc">Constructor that takes all the elements. </div><div class="ttdef"><b>Definition:</b> Matrix.h:291</div></div>
<div class="ttc" id="structgf_1_1_matrix_html_a6bc29b6563af3ff0733a7a96b07553d1"><div class="ttname"><a href="structgf_1_1_matrix.html#a6bc29b6563af3ff0733a7a96b07553d1">gf::Matrix::operator*</a></div><div class="ttdeci">Matrix< T, ROWS, COLS > operator*(const Matrix< T, ROWS, COLS > &lhs, T rhs)</div><div class="ttdoc">Right scalar multiplication. </div><div class="ttdef"><b>Definition:</b> Matrix.h:480</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4_html_acac6a6f9c7ef40e7107271535d6daf62"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#acac6a6f9c7ef40e7107271535d6daf62">gf::Matrix< T, 3, 3 >::Cols</a></div><div class="ttdeci">static constexpr std::size_t Cols</div><div class="ttdoc">The number of columns in the matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:199</div></div>
<div class="ttc" id="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4_html_ab4cebda6473789de784e457aa743d05d"><div class="ttname"><a href="structgf_1_1_matrix_3_01_t_00_013_00_013_01_4.html#ab4cebda6473789de784e457aa743d05d">gf::Matrix< T, 3, 3 >::Rows</a></div><div class="ttdeci">static constexpr std::size_t Rows</div><div class="ttdoc">The number of rows in the matrix. </div><div class="ttdef"><b>Definition:</b> Matrix.h:194</div></div>
</div><!-- fragment --></div><!-- contents -->
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Generated by  <a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/>
</a> 1.8.13
</small></address>
</body>
</html>