<!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/vector3D.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  <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()" onmouseout="return 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</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">vector3D.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_VECTOR3D_H</span></div> <div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define CMU462_VECTOR3D_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 <ostream></span></div> <div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#include <cmath></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="keyword">namespace </span><a class="code" href="namespace_c_m_u462.html">CMU462</a> {</div> <div class="line"><a name="l00008"></a><span class="lineno"> 8</span> </div> <div class="line"><a name="l00012"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector3_d.html"> 12</a></span> <span class="keyword">class </span><a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a> {</div> <div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  <span class="keyword">public</span>:</div> <div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div> <div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  <span class="comment">// components</span></div> <div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  <span class="keywordtype">double</span> x, y, z;</div> <div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div> <div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18"> 22</a></span>  <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>() : x( 0.0 ), y( 0.0 ), z( 0.0 ) { }</div> <div class="line"><a name="l00023"></a><span class="lineno"> 23</span> </div> <div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector3_d.html#a28d8a8458b6f51fc6e4a4a2b85cb04f7"> 28</a></span>  <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a28d8a8458b6f51fc6e4a4a2b85cb04f7">Vector3D</a>( <span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> z) : x( x ), y( y ), z( z ) { }</div> <div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div> <div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector3_d.html#ac9b4ec5c0d714b1044f0290259aeb0fa"> 34</a></span>  <a class="code" href="class_c_m_u462_1_1_vector3_d.html#ac9b4ec5c0d714b1044f0290259aeb0fa">Vector3D</a>( <span class="keywordtype">double</span> c ) : x( c ), y( c ), z( c ) { }</div> <div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div> <div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector3_d.html#a9b64991b7b149d83809976ab453f130a"> 40</a></span>  <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a9b64991b7b149d83809976ab453f130a">Vector3D</a>( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>& v ) : x( v.x ), y( v.y ), z( v.z ) { }</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>  <span class="comment">// returns reference to the specified component (0-based indexing: x, y, z)</span></div> <div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span>& operator[] ( <span class="keyword">const</span> <span class="keywordtype">int</span>& index ) {</div> <div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> ( &x )[ index ];</div> <div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</div> <div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div> <div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// returns const reference to the specified component (0-based indexing: x, y, z)</span></div> <div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">inline</span> <span class="keyword">const</span> <span class="keywordtype">double</span>& operator[] ( <span class="keyword">const</span> <span class="keywordtype">int</span>& index )<span class="keyword"> const </span>{</div> <div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">return</span> ( &x )[ index ];</div> <div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  }</div> <div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div> <div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="comment">// negation</span></div> <div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a> operator-( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div> <div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>( -x, -y, -z );</div> <div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div> <div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div> <div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// addition</span></div> <div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a> operator+( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>& v )<span class="keyword"> const </span>{</div> <div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>( x + v.x, y + v.y, z + v.z );</div> <div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  }</div> <div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div> <div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">// subtraction</span></div> <div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a> operator-( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>& v )<span class="keyword"> const </span>{</div> <div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>( x - v.x, y - v.y, z - v.z );</div> <div class="line"><a name="l00065"></a><span class="lineno"> 65</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">// right scalar multiplication</span></div> <div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a> operator*( <span class="keyword">const</span> <span class="keywordtype">double</span>& c )<span class="keyword"> const </span>{</div> <div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>( x * c, y * c, z * c );</div> <div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div> <div class="line"><a name="l00071"></a><span class="lineno"> 71</span> </div> <div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="comment">// scalar division</span></div> <div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a> operator/( <span class="keyword">const</span> <span class="keywordtype">double</span>& c )<span class="keyword"> const </span>{</div> <div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> rc = 1.0/c;</div> <div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>( rc * x, rc * y, rc * z );</div> <div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  }</div> <div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div> <div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">// addition / assignment</span></div> <div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator+=( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>& v ) {</div> <div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  x += v.x; y += v.y; z += v.z;</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> </div> <div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// subtraction / assignment</span></div> <div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator-=( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>& v ) {</div> <div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  x -= v.x; y -= v.y; z -= v.z;</div> <div class="line"><a name="l00086"></a><span class="lineno"> 86</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">// scalar multiplication / assignment</span></div> <div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator*=( <span class="keyword">const</span> <span class="keywordtype">double</span>& c ) {</div> <div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  x *= c; y *= c; z *= c;</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> </div> <div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// scalar division / assignment</span></div> <div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator/=( <span class="keyword">const</span> <span class="keywordtype">double</span>& c ) {</div> <div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  (*this) *= ( 1./c );</div> <div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  }</div> <div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div> <div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector3_d.html#a00863ae9c1d295b563ca3d792337759d"> 101</a></span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a00863ae9c1d295b563ca3d792337759d">norm</a>( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div> <div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">return</span> sqrt( x*x + y*y + z*z );</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> </div> <div class="line"><a name="l00108"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector3_d.html#a40299da4db79bfd683bff773fff56003"> 108</a></span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a40299da4db79bfd683bff773fff56003">norm2</a>( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div> <div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">return</span> x*x + y*y + z*z;</div> <div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div> <div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div> <div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector3_d.html#ade58b0e3fdaa28e083595f1350c71c7f"> 115</a></span>  <span class="keyword">inline</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_vector3_d.html#ade58b0e3fdaa28e083595f1350c71c7f">unit</a>( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div> <div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordtype">double</span> rNorm = 1. / sqrt( x*x + y*y + z*z );</div> <div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">Vector3D</a>( rNorm*x, rNorm*y, rNorm*z );</div> <div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  }</div> <div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div> <div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector3_d.html#ae406ad4e421d9537b55c1a3fd3475727"> 123</a></span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html#ae406ad4e421d9537b55c1a3fd3475727">normalize</a>( <span class="keywordtype">void</span> ) {</div> <div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  (*this) /= <a class="code" href="class_c_m_u462_1_1_vector3_d.html#a00863ae9c1d295b563ca3d792337759d">norm</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> </div> <div class="line"><a name="l00127"></a><span class="lineno"> 127</span> }; <span class="comment">// class Vector3D</span></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">// left scalar multiplication</span></div> <div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="keyword">inline</span> Vector3D operator* ( <span class="keyword">const</span> <span class="keywordtype">double</span>& c, <span class="keyword">const</span> Vector3D& v ) {</div> <div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">return</span> Vector3D( c * v.x, c * v.y, c * v.z );</div> <div class="line"><a name="l00132"></a><span class="lineno"> 132</span> }</div> <div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div> <div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="comment">// dot product (a.k.a. inner or scalar product)</span></div> <div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> dot( <span class="keyword">const</span> Vector3D& u, <span class="keyword">const</span> Vector3D& v ) {</div> <div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">return</span> u.x*v.x + u.y*v.y + u.z*v.z ;</div> <div class="line"><a name="l00137"></a><span class="lineno"> 137</span> }</div> <div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div> <div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment">// cross product</span></div> <div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="keyword">inline</span> Vector3D cross( <span class="keyword">const</span> Vector3D& u, <span class="keyword">const</span> Vector3D& v ) {</div> <div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">return</span> Vector3D( u.y*v.z - u.z*v.y,</div> <div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  u.z*v.x - u.x*v.z,</div> <div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  u.x*v.y - u.y*v.x );</div> <div class="line"><a name="l00144"></a><span class="lineno"> 144</span> }</div> <div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </div> <div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="comment">// prints components</span></div> <div class="line"><a name="l00147"></a><span class="lineno"> 147</span> std::ostream& operator<<( std::ostream& os, <span class="keyword">const</span> Vector3D& v );</div> <div class="line"><a name="l00148"></a><span class="lineno"> 148</span> </div> <div class="line"><a name="l00149"></a><span class="lineno"> 149</span> } <span class="comment">// namespace CMU462</span></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> <span class="preprocessor">#endif // CMU462_VECTOR3D_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> 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_vector3_d_html_ade58b0e3fdaa28e083595f1350c71c7f"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html#ade58b0e3fdaa28e083595f1350c71c7f">CMU462::Vector3D::unit</a></div><div class="ttdeci">Vector3D unit(void) const </div><div class="ttdoc">Returns unit vector. </div><div class="ttdef"><b>Definition:</b> vector3D.h:115</div></div> <div class="ttc" id="class_c_m_u462_1_1_vector3_d_html_a00863ae9c1d295b563ca3d792337759d"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html#a00863ae9c1d295b563ca3d792337759d">CMU462::Vector3D::norm</a></div><div class="ttdeci">double norm(void) const </div><div class="ttdoc">Returns Euclidean length. </div><div class="ttdef"><b>Definition:</b> vector3D.h:101</div></div> <div class="ttc" id="class_c_m_u462_1_1_vector3_d_html_a28d8a8458b6f51fc6e4a4a2b85cb04f7"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html#a28d8a8458b6f51fc6e4a4a2b85cb04f7">CMU462::Vector3D::Vector3D</a></div><div class="ttdeci">Vector3D(double x, double y, double z)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector3D.h:28</div></div> <div class="ttc" id="class_c_m_u462_1_1_vector3_d_html_a40299da4db79bfd683bff773fff56003"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html#a40299da4db79bfd683bff773fff56003">CMU462::Vector3D::norm2</a></div><div class="ttdeci">double norm2(void) const </div><div class="ttdoc">Returns Euclidean length squared. </div><div class="ttdef"><b>Definition:</b> vector3D.h:108</div></div> <div class="ttc" id="class_c_m_u462_1_1_vector3_d_html_ae406ad4e421d9537b55c1a3fd3475727"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html#ae406ad4e421d9537b55c1a3fd3475727">CMU462::Vector3D::normalize</a></div><div class="ttdeci">void normalize(void)</div><div class="ttdoc">Divides by Euclidean length. </div><div class="ttdef"><b>Definition:</b> vector3D.h:123</div></div> <div class="ttc" id="class_c_m_u462_1_1_vector3_d_html_a9b64991b7b149d83809976ab453f130a"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html#a9b64991b7b149d83809976ab453f130a">CMU462::Vector3D::Vector3D</a></div><div class="ttdeci">Vector3D(const Vector3D &v)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector3D.h:40</div></div> <div class="ttc" id="class_c_m_u462_1_1_vector3_d_html_a364bf2470fc8ebbcf21ae78d5e5bcf18"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html#a364bf2470fc8ebbcf21ae78d5e5bcf18">CMU462::Vector3D::Vector3D</a></div><div class="ttdeci">Vector3D()</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector3D.h:22</div></div> <div class="ttc" id="class_c_m_u462_1_1_vector3_d_html_ac9b4ec5c0d714b1044f0290259aeb0fa"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html#ac9b4ec5c0d714b1044f0290259aeb0fa">CMU462::Vector3D::Vector3D</a></div><div class="ttdeci">Vector3D(double c)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector3D.h:34</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  <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>