Skip to content

GitLab

Switch branch/tag
Find file Normal viewHistoryPermalink
matrix3x3_8h_source.html 20.5 KB
Newer Older
Nick Sharp's avatar
Initial commit  
Nick Sharp committed
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
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189 
<!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 1.8.9.1"/>
<title>CMU462 Library Documentation: lib/matrix3x3.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>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/searchdata.js"></script>
<script type="text/javascript" src="search/search.js"></script>
<script type="text/javascript">
  $(document).ready(function() { init_search(); });
</script>
<link href="doxygen.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 style="padding-left: 0.5em;">
   <div id="projectname">CMU462 Library Documentation
   &#160;<span id="projectnumber">1.0</span>
   </div>
   <div id="projectbrief">15-462/15-662: Computer Graphics (Fall 2015)</div>
  </td>
 </tr>
 </tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.9.1 -->
<script type="text/javascript">
var searchBox = new SearchBox("searchBox", "search",false,'Search');
</script>
  <div id="navrow1" class="tabs">
    <ul class="tablist">
      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
      <li><a href="annotated.html"><span>Classes</span></a></li>
      <li class="current"><a href="files.html"><span>Files</span></a></li>
      <li>
        <div id="MSearchBox" class="MSearchBoxInactive">
        <span class="left">
          <img id="MSearchSelect" src="search/mag_sel.png"
               onmouseover="return searchBox.OnSearchSelectShow()"
               onmouseout="return searchBox.OnSearchSelectHide()"
               alt=""/>
          <input type="text" id="MSearchField" value="Search" accesskey="S"
               onfocus="searchBox.OnSearchFieldFocus(true)" 
               onblur="searchBox.OnSearchFieldFocus(false)" 
               onkeyup="searchBox.OnSearchFieldChange(event)"/>
          </span><span class="right">
            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
          </span>
        </div>
      </li>
    </ul>
  </div>
  <div id="navrow2" class="tabs2">
    <ul class="tablist">
      <li><a href="files.html"><span>File&#160;List</span></a></li>
    </ul>
  </div>
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
     onmouseover="return searchBox.OnSearchSelectShow()"
     onmouseout="return searchBox.OnSearchSelectHide()"
     onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>

<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0" 
        name="MSearchResults" id="MSearchResults">
</iframe>
</div>

<div id="nav-path" class="navpath">
  <ul>
<li class="navelem"><a class="el" href="dir_97aefd0d527b934f1d99a682da8fe6a9.html">lib</a></li>  </ul>
</div>
</div><!-- top -->
<div class="header">
  <div class="headertitle">
<div class="title">matrix3x3.h</div>  </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef CMU462_MATRIX3X3_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define CMU462_MATRIX3X3_H</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;iosfwd&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &quot;vector3D.h&quot;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_c_m_u462.html">CMU462</a> {  </div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_matrix3x3.html">   14</a></span>&#160;<span class="keyword">class </span><a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> {</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;  </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keywordtype">void</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html#a453beeb9cce4e6a40ae5328165e3c753">zero</a>(<span class="keywordtype">double</span> val = 0.0 );</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html#a0a704be404723e4e321ad82fc44eed5c">det</a>( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html#ad08b58033cc91315fb4c9b47f3a1d730">norm</a>( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html#a01dc55787da3e6b1f891ae65001a6a64">identity</a>( <span class="keywordtype">void</span> );</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html#a2a722d22d3a3e34ba2fd1aac6ba784da">crossProduct</a>( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; u );</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; <a class="code" href="class_c_m_u462_1_1_matrix3x3.html#a07bd56f6322f0a27e2b3f336c0ed705d">column</a>( <span class="keywordtype">int</span> i );</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; <a class="code" href="class_c_m_u462_1_1_matrix3x3.html#a07bd56f6322f0a27e2b3f336c0ed705d">column</a>( <span class="keywordtype">int</span> i ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html#add1114143c125da096cc6e75487437ba">T</a>( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html#a2f3062cf5ebb02d1471597c12ffa052f">inv</a>( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  <span class="comment">// accesses element (i,j) of A using 0-based indexing</span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordtype">double</span>&amp; operator()( <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j );</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; operator()( <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  <span class="comment">// accesses the ith column of A   </span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; operator[]( <span class="keywordtype">int</span> i );</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; operator[]( <span class="keywordtype">int</span> i ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  <span class="comment">// increments by B</span></div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  <span class="keywordtype">void</span> operator+=( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a>&amp; B );</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  <span class="comment">// returns -A</span></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> operator-( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  <span class="comment">// returns A-B</span></div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> operator-( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a>&amp; B ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;  <span class="comment">// returns c*A</span></div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> operator*( <span class="keywordtype">double</span> c ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  <span class="comment">// returns A*B</span></div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> operator*( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a>&amp; B ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  <span class="comment">// returns A*x</span></div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a> operator*( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; x ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  <span class="comment">// divides each element by x</span></div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  <span class="keywordtype">void</span> operator/=( <span class="keywordtype">double</span> x );   </div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  <span class="comment">// column vectors</span></div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a> entries[3];</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;}; <span class="comment">// class Matrix3x3</span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="comment">// returns the outer product of u and v</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> outer( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; u, <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; v );</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="comment">// returns c*A</span></div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a> operator*( <span class="keywordtype">double</span> c, <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a>&amp; A );</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="comment">// prints entries</span></div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;std::ostream&amp; operator&lt;&lt;( std::ostream&amp; os, <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a>&amp; A );</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    </div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;} <span class="comment">// namespace CMU462</span></div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="preprocessor">#endif // CMU462_MATRIX3X3_H</span></div>
<div class="ttc" id="class_c_m_u462_1_1_matrix3x3_html_a0a704be404723e4e321ad82fc44eed5c"><div class="ttname"><a href="class_c_m_u462_1_1_matrix3x3.html#a0a704be404723e4e321ad82fc44eed5c">CMU462::Matrix3x3::det</a></div><div class="ttdeci">double det(void) const </div><div class="ttdoc">Returns the determinant of A. </div><div class="ttdef"><b>Definition:</b> matrix3x3.cpp:31</div></div>
<div class="ttc" id="namespace_c_m_u462_html"><div class="ttname"><a href="namespace_c_m_u462.html">CMU462</a></div><div class="ttdef"><b>Definition:</b> color.cpp:10</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector3_d_html"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html">CMU462::Vector3D</a></div><div class="ttdoc">Defines 3D vectors. </div><div class="ttdef"><b>Definition:</b> vector3D.h:12</div></div>
<div class="ttc" id="class_c_m_u462_1_1_matrix3x3_html_a01dc55787da3e6b1f891ae65001a6a64"><div class="ttname"><a href="class_c_m_u462_1_1_matrix3x3.html#a01dc55787da3e6b1f891ae65001a6a64">CMU462::Matrix3x3::identity</a></div><div class="ttdeci">static Matrix3x3 identity(void)</div><div class="ttdoc">Returns the 3x3 identity matrix. </div><div class="ttdef"><b>Definition:</b> matrix3x3.cpp:181</div></div>
<div class="ttc" id="class_c_m_u462_1_1_matrix3x3_html_a07bd56f6322f0a27e2b3f336c0ed705d"><div class="ttname"><a href="class_c_m_u462_1_1_matrix3x3.html#a07bd56f6322f0a27e2b3f336c0ed705d">CMU462::Matrix3x3::column</a></div><div class="ttdeci">Vector3D &amp; column(int i)</div><div class="ttdoc">Returns the ith column. </div><div class="ttdef"><b>Definition:</b> matrix3x3.cpp:234</div></div>
<div class="ttc" id="class_c_m_u462_1_1_matrix3x3_html_a2a722d22d3a3e34ba2fd1aac6ba784da"><div class="ttname"><a href="class_c_m_u462_1_1_matrix3x3.html#a2a722d22d3a3e34ba2fd1aac6ba784da">CMU462::Matrix3x3::crossProduct</a></div><div class="ttdeci">static Matrix3x3 crossProduct(const Vector3D &amp;u)</div><div class="ttdoc">Returns a matrix representing the (left) cross product with u. </div><div class="ttdef"><b>Definition:</b> matrix3x3.cpp:191</div></div>
<div class="ttc" id="class_c_m_u462_1_1_matrix3x3_html_a2f3062cf5ebb02d1471597c12ffa052f"><div class="ttname"><a href="class_c_m_u462_1_1_matrix3x3.html#a2f3062cf5ebb02d1471597c12ffa052f">CMU462::Matrix3x3::inv</a></div><div class="ttdeci">Matrix3x3 inv(void) const </div><div class="ttdoc">Returns the inverse of A. </div><div class="ttdef"><b>Definition:</b> matrix3x3.cpp:157</div></div>
<div class="ttc" id="class_c_m_u462_1_1_matrix3x3_html_add1114143c125da096cc6e75487437ba"><div class="ttname"><a href="class_c_m_u462_1_1_matrix3x3.html#add1114143c125da096cc6e75487437ba">CMU462::Matrix3x3::T</a></div><div class="ttdeci">Matrix3x3 T(void) const </div><div class="ttdoc">Returns the transpose of A. </div><div class="ttdef"><b>Definition:</b> matrix3x3.cpp:144</div></div>
<div class="ttc" id="class_c_m_u462_1_1_matrix3x3_html_a453beeb9cce4e6a40ae5328165e3c753"><div class="ttname"><a href="class_c_m_u462_1_1_matrix3x3.html#a453beeb9cce4e6a40ae5328165e3c753">CMU462::Matrix3x3::zero</a></div><div class="ttdeci">void zero(double val=0.0)</div><div class="ttdoc">Sets all elements to val. </div><div class="ttdef"><b>Definition:</b> matrix3x3.cpp:26</div></div>
<div class="ttc" id="class_c_m_u462_1_1_matrix3x3_html"><div class="ttname"><a href="class_c_m_u462_1_1_matrix3x3.html">CMU462::Matrix3x3</a></div><div class="ttdoc">Defines a 3x3 matrix. </div><div class="ttdef"><b>Definition:</b> matrix3x3.h:14</div></div>
<div class="ttc" id="class_c_m_u462_1_1_matrix3x3_html_ad08b58033cc91315fb4c9b47f3a1d730"><div class="ttname"><a href="class_c_m_u462_1_1_matrix3x3.html#ad08b58033cc91315fb4c9b47f3a1d730">CMU462::Matrix3x3::norm</a></div><div class="ttdeci">double norm(void) const </div><div class="ttdoc">Returns the Frobenius norm of A. </div><div class="ttdef"><b>Definition:</b> matrix3x3.cpp:39</div></div>
</div><!-- fragment --></div><!-- contents -->
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Generated on Wed Sep 2 2015 20:32:33 for CMU462 Library Documentation by &#160;<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/>
</a> 1.8.9.1
</small></address>
</body>
</html>