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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">vector2D.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_VECTOR2D_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define CMU462_VECTOR2D_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_vector2_d.html"> 12</a></span> <span class="keyword">class </span><a class="code" href="class_c_m_u462_1_1_vector2_d.html">Vector2D</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;</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_vector2_d.html#ad594e740a756ef6d4e494d65120d2664"> 22</a></span>  <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a>() : x( 0.0 ), y( 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_vector2_d.html#aca8b0bf43db07df17fb71c1782469819"> 28</a></span>  <a class="code" href="class_c_m_u462_1_1_vector2_d.html#aca8b0bf43db07df17fb71c1782469819">Vector2D</a>( <span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y ) : x( x ), y( y ) { }</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_vector2_d.html#a37a80c562908c95fb8d9cdc43b17a91d"> 34</a></span>  <a class="code" href="class_c_m_u462_1_1_vector2_d.html#a37a80c562908c95fb8d9cdc43b17a91d">Vector2D</a>( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html">Vector2D</a>& v ) : x( v.x ), y( v.y ) { }</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">// additive inverse</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html">Vector2D</a> operator-( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a>( -x, -y );</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  } </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>  <span class="comment">// addition</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a> operator+( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a>& v )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a> u = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  u += v;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">return</span> u;</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>  </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="comment">// subtraction</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a> operator-( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a>& v )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a> u = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  u -= v;</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">return</span> u;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  }</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">// right scalar multiplication</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a> operator*( <span class="keywordtype">double</span> r )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a> vr = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  vr *= r;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> vr;</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">// scalar division</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_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a> operator/( <span class="keywordtype">double</span> r )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a> vr = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  vr /= r;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">return</span> vr;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">// add v</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</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_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a>& v ) {</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  x += v.x;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  y += v.y;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</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">// subtract v</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</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_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">Vector2D</a>& v ) {</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  x -= v.x;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  y -= v.y;</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> </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// scalar multiply by r</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator*=( <span class="keywordtype">double</span> r ) {</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  x *= r;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  y *= r;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  }</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>  <span class="comment">// scalar divide by r</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator/=( <span class="keywordtype">double</span> r ) {</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  x /= r;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  y /= r;</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="l00096"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector2_d.html#a16553d2c029d5b5274c0fa6837ac259a"> 96</a></span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html#a16553d2c029d5b5274c0fa6837ac259a">norm</a>( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">return</span> sqrt( x*x + y*y );</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="l00103"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector2_d.html#a9ac89fa1427ed0ac8019752bd2ff261f"> 103</a></span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html#a9ac89fa1427ed0ac8019752bd2ff261f">norm2</a>( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">return</span> x*x + y*y;</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> </div>
<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector2_d.html#aecad9e083d41f03929fb01e60851dfa8"> 110</a></span>  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector2_d.html">Vector2D</a> <a class="code" href="class_c_m_u462_1_1_vector2_d.html#aecad9e083d41f03929fb01e60851dfa8">unit</a>( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span> / this-><a class="code" href="class_c_m_u462_1_1_vector2_d.html#a16553d2c029d5b5274c0fa6837ac259a">norm</a>();</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> </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">// clasd Vector2D</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// left scalar multiplication</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="keyword">inline</span> Vector2D operator*( <span class="keywordtype">double</span> r, <span class="keyword">const</span> Vector2D& v ) {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> v*r;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> }</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment">// inner product</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> dot( <span class="keyword">const</span> Vector2D& v1, <span class="keyword">const</span> Vector2D& v2 ) {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">return</span> v1.x*v2.x + v1.y*v2.y;</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">// cross product</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> cross( <span class="keyword">const</span> Vector2D& v1, <span class="keyword">const</span> Vector2D& v2 ) {</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">return</span> v1.x*v2.y - v1.y*v2.x;</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> </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment">// prints components</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> std::ostream& operator<<( std::ostream& os, <span class="keyword">const</span> Vector2D& v );</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">// namespace CMU462</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="preprocessor">#endif // CMU462_VECTOR2D_H</span></div>
<div class="ttc" id="class_c_m_u462_1_1_vector2_d_html_ad594e740a756ef6d4e494d65120d2664"><div class="ttname"><a href="class_c_m_u462_1_1_vector2_d.html#ad594e740a756ef6d4e494d65120d2664">CMU462::Vector2D::Vector2D</a></div><div class="ttdeci">Vector2D()</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector2D.h:22</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector2_d_html_a9ac89fa1427ed0ac8019752bd2ff261f"><div class="ttname"><a href="class_c_m_u462_1_1_vector2_d.html#a9ac89fa1427ed0ac8019752bd2ff261f">CMU462::Vector2D::norm2</a></div><div class="ttdeci">double norm2(void) const </div><div class="ttdoc">Returns norm squared. </div><div class="ttdef"><b>Definition:</b> vector2D.h:103</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector2_d_html_a16553d2c029d5b5274c0fa6837ac259a"><div class="ttname"><a href="class_c_m_u462_1_1_vector2_d.html#a16553d2c029d5b5274c0fa6837ac259a">CMU462::Vector2D::norm</a></div><div class="ttdeci">double norm(void) const </div><div class="ttdoc">Returns norm. </div><div class="ttdef"><b>Definition:</b> vector2D.h:96</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector2_d_html_aca8b0bf43db07df17fb71c1782469819"><div class="ttname"><a href="class_c_m_u462_1_1_vector2_d.html#aca8b0bf43db07df17fb71c1782469819">CMU462::Vector2D::Vector2D</a></div><div class="ttdeci">Vector2D(double x, double y)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector2D.h:28</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_vector2_d_html"><div class="ttname"><a href="class_c_m_u462_1_1_vector2_d.html">CMU462::Vector2D</a></div><div class="ttdoc">Defines 2D vectors. </div><div class="ttdef"><b>Definition:</b> vector2D.h:12</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector2_d_html_a37a80c562908c95fb8d9cdc43b17a91d"><div class="ttname"><a href="class_c_m_u462_1_1_vector2_d.html#a37a80c562908c95fb8d9cdc43b17a91d">CMU462::Vector2D::Vector2D</a></div><div class="ttdeci">Vector2D(const Vector2D &v)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector2D.h:34</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector2_d_html_aecad9e083d41f03929fb01e60851dfa8"><div class="ttname"><a href="class_c_m_u462_1_1_vector2_d.html#aecad9e083d41f03929fb01e60851dfa8">CMU462::Vector2D::unit</a></div><div class="ttdeci">Vector2D unit(void) const </div><div class="ttdoc">Returns unit vector parallel to this one. </div><div class="ttdef"><b>Definition:</b> vector2D.h:110</div></div>
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