<!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: /Users/Sky/Dropbox/Projects/CMU462/private/p3/CMU462/include/CMU462/matrix4x4.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  <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 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()" 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id="MSearchResults"> </iframe> </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_93cde9e1f49b119e2b24d2ae2dcc682a.html">CMU462</a></li> </ul> </div> </div><!-- top --> <div class="header"> <div class="headertitle"> <div class="title">matrix4x4.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="preprocessor">#ifndef CMU462_MATRIX4X4_H</span></div> <div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define CMU462_MATRIX4X4_H</span></div> <div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div> <div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#include "CMU462.h"</span></div> <div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#include "vector4D.h"</span></div> <div class="line"><a name="l00006"></a><span class="lineno"> 6</span> </div> <div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#include <iosfwd></span></div> <div class="line"><a name="l00008"></a><span class="lineno"> 8</span> </div> <div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="keyword">namespace </span><a class="code" href="namespace_c_m_u462.html">CMU462</a> {</div> <div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div> <div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_matrix4x4.html"> 22</a></span> <span class="keyword">class </span><a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> {</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="keyword">public</span>:</div> <div class="line"><a name="l00025"></a><span class="lineno"> 25</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="comment">// The default constructor.</span></div> <div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a>(<span class="keywordtype">void</span>) { }</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="comment">// Constructor for row major form data.</span></div> <div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="comment">// Transposes to the internal column major form.</span></div> <div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="comment">// REQUIRES: data should be of size 16.</span></div> <div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a>(<span class="keywordtype">double</span> * data)</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="keywordflow">for</span>( <span class="keywordtype">int</span> i = 0; i < 4; i++ )</div> <div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j = 0; j < 4; j++ )</div> <div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  {</div> <div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="comment">// Transpostion happens within the () query.</span></div> <div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  (*this)(i,j) = data[i*4 + j];</div> <div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  }</div> <div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div> <div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  }</div> <div class="line"><a name="l00043"></a><span class="lineno"> 43</span> </div> <div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div> <div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordtype">void</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html#a30a749d68ec7e6958a9fc84e335be0c8">zero</a>(<span class="keywordtype">double</span> val = 0.0);</div> <div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div> <div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html#af0b8fb02c1e36258338607b5c355dae1">det</a>( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div> <div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html#adc81360e3592edf4e65dd4e8b6cea198">norm</a>( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div> <div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">static</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html#afa23ef636b8c700484ef2ca7ca7bd767">identity</a>( <span class="keywordtype">void</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">// No Cross products for 4 by 4 matrix.</span></div> <div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div> <div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a>& <a class="code" href="class_c_m_u462_1_1_matrix4x4.html#ad7f76ceb3a387262b65dbb785fea856b">column</a>( <span class="keywordtype">int</span> i );</div> <div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a>& <a class="code" href="class_c_m_u462_1_1_matrix4x4.html#ad7f76ceb3a387262b65dbb785fea856b">column</a>( <span class="keywordtype">int</span> i ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div> <div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html#a12bc76750746b18135a26e10f33a2303">T</a>( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div> <div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html#a0d810e69b6da8a5cb6f2762bcc70f91e">inv</a>( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div> <div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// accesses element (i,j) of A using 0-based indexing</span></div> <div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// where (i, j) is (row, column).</span></div> <div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordtype">double</span>& operator()( <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j );</div> <div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">const</span> <span class="keywordtype">double</span>& operator()( <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00087"></a><span class="lineno"> 87</span> </div> <div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">// accesses the ith column of A</span></div> <div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a>& operator[]( <span class="keywordtype">int</span> i );</div> <div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a>& operator[]( <span class="keywordtype">int</span> i ) <span class="keyword">const</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">// increments by B</span></div> <div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordtype">void</span> operator+=( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a>& B );</div> <div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div> <div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// returns -A</span></div> <div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> operator-( <span class="keywordtype">void</span> ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div> <div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// returns A-B</span></div> <div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> operator-( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a>& B ) <span class="keyword">const</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">// returns c*A</span></div> <div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> operator*( <span class="keywordtype">double</span> c ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div> <div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="comment">// returns A*B</span></div> <div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> operator*( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a>& B ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div> <div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">// returns A*x</span></div> <div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a> operator*( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a>& x ) <span class="keyword">const</span>;</div> <div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div> <div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// divides each element by x</span></div> <div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordtype">void</span> operator/=( <span class="keywordtype">double</span> x );</div> <div class="line"><a name="l00112"></a><span class="lineno"> 112</span> </div> <div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keyword">protected</span>:</div> <div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div> <div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="comment">// 4 by 4 matrices are represented by an array of 4 column vectors.</span></div> <div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a> entries[4];</div> <div class="line"><a name="l00117"></a><span class="lineno"> 117</span> </div> <div class="line"><a name="l00118"></a><span class="lineno"> 118</span> }; <span class="comment">// class Matrix3x3</span></div> <div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div> <div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// returns the outer product of u and v.</span></div> <div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> outer( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a>& u, <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a>& v );</div> <div class="line"><a name="l00122"></a><span class="lineno"> 122</span> </div> <div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment">// returns c*A</span></div> <div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a> operator*( <span class="keywordtype">double</span> c, <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a>& A );</div> <div class="line"><a name="l00125"></a><span class="lineno"> 125</span> </div> <div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment">// prints entries</span></div> <div class="line"><a name="l00127"></a><span class="lineno"> 127</span> std::ostream& operator<<( std::ostream& os, <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix4x4.html">Matrix4x4</a>& A );</div> <div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div> <div class="line"><a name="l00129"></a><span class="lineno"> 129</span> } <span class="comment">// namespace CMU462</span></div> <div class="line"><a name="l00130"></a><span class="lineno"> 130</span> </div> <div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="preprocessor">#endif // CMU462_MATRIX4X4_H</span></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> CMU462.h:8</div></div> <div class="ttc" id="class_c_m_u462_1_1_matrix4x4_html_a0d810e69b6da8a5cb6f2762bcc70f91e"><div class="ttname"><a href="class_c_m_u462_1_1_matrix4x4.html#a0d810e69b6da8a5cb6f2762bcc70f91e">CMU462::Matrix4x4::inv</a></div><div class="ttdeci">Matrix4x4 inv(void) const </div><div class="ttdoc">Returns the inverse of A. </div><div class="ttdef"><b>Definition:</b> matrix4x4.cpp:195</div></div> <div class="ttc" id="class_c_m_u462_1_1_vector4_d_html"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html">CMU462::Vector4D</a></div><div class="ttdoc">Defines 4D standard vectors. </div><div class="ttdef"><b>Definition:</b> vector4D.h:15</div></div> <div class="ttc" id="class_c_m_u462_1_1_matrix4x4_html_a30a749d68ec7e6958a9fc84e335be0c8"><div class="ttname"><a href="class_c_m_u462_1_1_matrix4x4.html#a30a749d68ec7e6958a9fc84e335be0c8">CMU462::Matrix4x4::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> matrix4x4.cpp:26</div></div> <div class="ttc" id="class_c_m_u462_1_1_matrix4x4_html_afa23ef636b8c700484ef2ca7ca7bd767"><div class="ttname"><a href="class_c_m_u462_1_1_matrix4x4.html#afa23ef636b8c700484ef2ca7ca7bd767">CMU462::Matrix4x4::identity</a></div><div class="ttdeci">static Matrix4x4 identity(void)</div><div class="ttdoc">Returns a fresh 4x4 identity matrix. </div><div class="ttdef"><b>Definition:</b> matrix4x4.cpp:235</div></div> <div class="ttc" id="class_c_m_u462_1_1_matrix4x4_html_ad7f76ceb3a387262b65dbb785fea856b"><div class="ttname"><a href="class_c_m_u462_1_1_matrix4x4.html#ad7f76ceb3a387262b65dbb785fea856b">CMU462::Matrix4x4::column</a></div><div class="ttdeci">Vector4D & column(int i)</div><div class="ttdoc">Returns the ith column. </div><div class="ttdef"><b>Definition:</b> matrix4x4.cpp:275</div></div> <div class="ttc" id="class_c_m_u462_1_1_matrix4x4_html"><div class="ttname"><a href="class_c_m_u462_1_1_matrix4x4.html">CMU462::Matrix4x4</a></div><div class="ttdoc">Defines a 4x4 matrix. </div><div class="ttdef"><b>Definition:</b> matrix4x4.h:22</div></div> <div class="ttc" id="class_c_m_u462_1_1_matrix4x4_html_adc81360e3592edf4e65dd4e8b6cea198"><div class="ttname"><a href="class_c_m_u462_1_1_matrix4x4.html#adc81360e3592edf4e65dd4e8b6cea198">CMU462::Matrix4x4::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> matrix4x4.cpp:53</div></div> <div class="ttc" id="class_c_m_u462_1_1_matrix4x4_html_af0b8fb02c1e36258338607b5c355dae1"><div class="ttname"><a href="class_c_m_u462_1_1_matrix4x4.html#af0b8fb02c1e36258338607b5c355dae1">CMU462::Matrix4x4::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> matrix4x4.cpp:34</div></div> <div class="ttc" id="class_c_m_u462_1_1_matrix4x4_html_a12bc76750746b18135a26e10f33a2303"><div class="ttname"><a href="class_c_m_u462_1_1_matrix4x4.html#a12bc76750746b18135a26e10f33a2303">CMU462::Matrix4x4::T</a></div><div class="ttdeci">Matrix4x4 T(void) const </div><div class="ttdoc">Returns the transpose of A. </div><div class="ttdef"><b>Definition:</b> matrix4x4.cpp:182</div></div> </div><!-- fragment --></div><!-- contents --> <!-- start footer part --> <hr class="footer"/><address class="footer"><small> Generated on Sat Oct 10 2015 03:34:42 for CMU462 Library by  <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>