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<div id="projectname">CMU462 Library Documentation
 <span id="projectnumber">1.0</span>
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<div id="projectbrief">15-462/15-662: Computer Graphics (Fall 2015)</div>
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<li class="navelem"><a class="el" href="dir_97aefd0d527b934f1d99a682da8fe6a9.html">lib</a></li> </ul>
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<div class="title">matrix3x3.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#ifndef CMU462_MATRIX3X3_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define CMU462_MATRIX3X3_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 <iosfwd></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> </div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="preprocessor">#include "vector3D.h"</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> </div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <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> </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> <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>  </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <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> </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <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> </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <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> </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <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> </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <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>& u );</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>& <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>  <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>& <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> </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</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#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> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</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#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> </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <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>  <span class="keywordtype">double</span>& 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>  <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="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// accesses the ith column of A </span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>& operator[]( <span class="keywordtype">int</span> i );</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>& 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> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">// increments by B</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <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>& B );</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">// returns -A</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <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> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">// returns A-B</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <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>& B ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">// returns c*A</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <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> </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// returns A*B</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <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>& B ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// returns A*x</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <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>& x ) <span class="keyword">const</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">// divides each element by x</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <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> </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// column vectors</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <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> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> }; <span class="comment">// class Matrix3x3</span></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 the outer product of u and v</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <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>& u, <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>& v );</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 c*A</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <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>& A );</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">// prints entries</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> std::ostream& operator<<( std::ostream& os, <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_matrix3x3.html">Matrix3x3</a>& A );</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">// namespace CMU462</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <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 & 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 &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>
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