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<div class="title">vectorFunctions.h</div>  </div>
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<a href="vector_functions_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">//vectorFunctions.h</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#ifndef _vectorFunctions_h_</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor">#define _vectorFunctions_h_</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;fstream&gt;</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="input_8h.html">input.h</a>&quot;</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="structures_8h.html">structures.h</a>&quot;</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keywordtype">double</span> *<a class="code" href="vector_functions_8h.html#a3c2b95a1658779bf4d2b104fa9513e75">projection</a>( <span class="keyword">const</span> <span class="keywordtype">double</span> *v1, <span class="keyword">const</span> <span class="keywordtype">double</span> *v2 );</div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keywordtype">double</span> <a class="code" href="vector_functions_8h.html#af04ebdcbe44a303101290e88a5971c71">euclideanDistance</a>(<span class="keywordtype">double</span> *A, <span class="keywordtype">double</span> *B);</div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keywordtype">double</span> <a class="code" href="vector_functions_8h.html#af04ebdcbe44a303101290e88a5971c71">euclideanDistance</a>(<a class="code" href="struct_point.html">Point</a> &amp;A, <a class="code" href="struct_point.html">Point</a> &amp;B);</div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keywordtype">double</span> <a class="code" href="vector_functions_8h.html#afd59d451cff22898e4153261bc1fb38e">angleBeteenVectors</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> *vector1, <span class="keyword">const</span> <span class="keywordtype">double</span> *vector2);</div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">/**************************************************/</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="vector_functions_8h.html#a94303b1c8dd36d71e57fd0e4d5d26ae3">   24</a></span>&#160;<span class="keyword">inline</span> T* <a class="code" href="vector_functions_8h.html#a94303b1c8dd36d71e57fd0e4d5d26ae3">crossProduct</a>(<span class="keyword">const</span> T *v1, <span class="keyword">const</span> T *v2) {</div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    T *result = <span class="keyword">new</span> T[3];</div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    result[0] = v1[1]*v2[2] - v1[2]*v2[1];</div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    result[1] = v1[2]*v2[0] - v1[0]*v2[2];</div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    result[2] = v1[0]*v2[1] - v1[1]*v2[0];</div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;}</div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment">/**************************************************/</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="vector_functions_8h.html#a48bb00fc4195377b229efe044f3bb67e">   36</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="vector_functions_8h.html#a48bb00fc4195377b229efe044f3bb67e">normalize</a>(T *vec){</div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keywordtype">float</span> invMag = 1.0f / sqrt(vec[0]*vec[0] + vec[1]*vec[1] + vec[2]*vec[2]);</div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keywordflow">if</span> (!isinf(invMag)){</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        vec[0] = vec[0] * invMag;</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        vec[1] = vec[1] * invMag;</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        vec[2] = vec[2] * invMag;</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    }</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keywordflow">else</span> { </div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        std::cout&lt;&lt;<span class="stringliteral">&quot;\nERROR: Attempted to normalize a vector with magnitude = 0\n&quot;</span>;</div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        exit(1);</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    }</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;}  </div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="comment">/**************************************************/</span></div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="vector_functions_8h.html#abb1d4beb5939c7a5ddd4978c15fab7bb">   58</a></span>&#160;<span class="keyword">inline</span> T <a class="code" href="vector_functions_8h.html#abb1d4beb5939c7a5ddd4978c15fab7bb">dotProduct</a>(<span class="keyword">const</span> T *A, <span class="keyword">const</span> T *B){</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    T result = A[0]*B[0] + A[1]*B[1] + A[2]*B[2];</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;}</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;</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="comment">/**************************************************/</span></div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="vector_functions_8h.html#a59882f4d39496e4e204d837592ac767b">   70</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="vector_functions_8h.html#a59882f4d39496e4e204d837592ac767b">printVertices</a>(T *vert, <span class="keywordtype">int</span> numVertices) {</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    std::cout&lt;&lt;<span class="stringliteral">&quot;Vertices:\n&quot;</span>;</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; numVertices; i++ ) {</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <span class="keywordtype">int</span> x = i*3;</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        std::cout&lt;&lt; <span class="stringliteral">&quot;{&quot;</span> &lt;&lt; vert[x] &lt;&lt; <span class="stringliteral">&quot;,&quot;</span> &lt;&lt; vert[x+1] &lt;&lt; <span class="stringliteral">&quot;,&quot;</span> &lt;&lt; vert[x+2] &lt;&lt; <span class="stringliteral">&quot;}\n&quot;</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;}</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</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">/**************************************************/</span></div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="vector_functions_8h.html#a92da2058f3ed2a6db16d2fe0e445794a">   86</a></span>&#160;<span class="keyword">inline</span> T <a class="code" href="vector_functions_8h.html#a92da2058f3ed2a6db16d2fe0e445794a">magnitude</a>(T x, T y, T z){</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    <span class="keywordflow">return</span> sqrt((x*x) + (y*y) + (z*z));</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;}</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;</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="comment">/**************************************************/</span></div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="vector_functions_8h.html#ad5177d4868472616bd9fac80a8b65f78">   98</a></span>&#160;<span class="keyword">inline</span> T <a class="code" href="vector_functions_8h.html#ad5177d4868472616bd9fac80a8b65f78">sqrMagnitude</a>(T x, T y, T z){</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    <span class="keywordflow">return</span> (x*x) + (y*y) + (z*z);</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;</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="comment">/**************************************************/</span></div><div class="line"><a name="l00109"></a><span class="lineno"><a class="line" href="vector_functions_8h.html#a7038a32284147d86abda1f0b54b83a4e">  109</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="vector_functions_8h.html#a7038a32284147d86abda1f0b54b83a4e">parallel</a>(<span class="keywordtype">double</span> *v1, <span class="keywordtype">double</span> *v2){</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    <a class="code" href="vector_functions_8h.html#a48bb00fc4195377b229efe044f3bb67e">normalize</a>(v1);</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    <a class="code" href="vector_functions_8h.html#a48bb00fc4195377b229efe044f3bb67e">normalize</a>(v2);</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    <span class="keywordtype">double</span> dotProd = <a class="code" href="vector_functions_8h.html#abb1d4beb5939c7a5ddd4978c15fab7bb">dotProduct</a>(v1, v2);</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    </div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keywordflow">if</span> (1-<a class="code" href="_d_f_nmain_8cpp.html#a974b448c3d0a13d483d36ef15de369b5">eps</a> &lt; dotProd &amp;&amp; dotProd &lt; 1+<a class="code" href="_d_f_nmain_8cpp.html#a974b448c3d0a13d483d36ef15de369b5">eps</a>){</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">return</span> 1;</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    }</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    <span class="keywordflow">else</span>{</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">return</span> 0;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    }</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;}</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div><div class="ttc" id="vector_functions_8h_html_a92da2058f3ed2a6db16d2fe0e445794a"><div class="ttname"><a href="vector_functions_8h.html#a92da2058f3ed2a6db16d2fe0e445794a">magnitude</a></div><div class="ttdeci">T magnitude(T x, T y, T z)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8h_source.html#l00086">vectorFunctions.h:86</a></div></div>
<div class="ttc" id="vector_functions_8h_html_a48bb00fc4195377b229efe044f3bb67e"><div class="ttname"><a href="vector_functions_8h.html#a48bb00fc4195377b229efe044f3bb67e">normalize</a></div><div class="ttdeci">void normalize(T *vec)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8h_source.html#l00036">vectorFunctions.h:36</a></div></div>
<div class="ttc" id="input_8h_html"><div class="ttname"><a href="input_8h.html">input.h</a></div></div>
<div class="ttc" id="vector_functions_8h_html_afd59d451cff22898e4153261bc1fb38e"><div class="ttname"><a href="vector_functions_8h.html#afd59d451cff22898e4153261bc1fb38e">angleBeteenVectors</a></div><div class="ttdeci">double angleBeteenVectors(const double *vector1, const double *vector2)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8cpp_source.html#l00074">vectorFunctions.cpp:74</a></div></div>
<div class="ttc" id="_d_f_nmain_8cpp_html_a974b448c3d0a13d483d36ef15de369b5"><div class="ttname"><a href="_d_f_nmain_8cpp.html#a974b448c3d0a13d483d36ef15de369b5">eps</a></div><div class="ttdeci">double eps</div><div class="ttdef"><b>Definition:</b> <a href="_d_f_nmain_8cpp_source.html#l00039">DFNmain.cpp:39</a></div></div>
<div class="ttc" id="struct_point_html"><div class="ttname"><a href="struct_point.html">Point</a></div><div class="ttdef"><b>Definition:</b> <a href="structures_8h_source.html#l00111">structures.h:111</a></div></div>
<div class="ttc" id="structures_8h_html"><div class="ttname"><a href="structures_8h.html">structures.h</a></div></div>
<div class="ttc" id="vector_functions_8h_html_a7038a32284147d86abda1f0b54b83a4e"><div class="ttname"><a href="vector_functions_8h.html#a7038a32284147d86abda1f0b54b83a4e">parallel</a></div><div class="ttdeci">bool parallel(double *v1, double *v2)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8h_source.html#l00109">vectorFunctions.h:109</a></div></div>
<div class="ttc" id="vector_functions_8h_html_a59882f4d39496e4e204d837592ac767b"><div class="ttname"><a href="vector_functions_8h.html#a59882f4d39496e4e204d837592ac767b">printVertices</a></div><div class="ttdeci">void printVertices(T *vert, int numVertices)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8h_source.html#l00070">vectorFunctions.h:70</a></div></div>
<div class="ttc" id="vector_functions_8h_html_abb1d4beb5939c7a5ddd4978c15fab7bb"><div class="ttname"><a href="vector_functions_8h.html#abb1d4beb5939c7a5ddd4978c15fab7bb">dotProduct</a></div><div class="ttdeci">T dotProduct(const T *A, const T *B)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8h_source.html#l00058">vectorFunctions.h:58</a></div></div>
<div class="ttc" id="vector_functions_8h_html_af04ebdcbe44a303101290e88a5971c71"><div class="ttname"><a href="vector_functions_8h.html#af04ebdcbe44a303101290e88a5971c71">euclideanDistance</a></div><div class="ttdeci">double euclideanDistance(double *A, double *B)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8cpp_source.html#l00046">vectorFunctions.cpp:46</a></div></div>
<div class="ttc" id="vector_functions_8h_html_ad5177d4868472616bd9fac80a8b65f78"><div class="ttname"><a href="vector_functions_8h.html#ad5177d4868472616bd9fac80a8b65f78">sqrMagnitude</a></div><div class="ttdeci">T sqrMagnitude(T x, T y, T z)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8h_source.html#l00098">vectorFunctions.h:98</a></div></div>
<div class="ttc" id="vector_functions_8h_html_a94303b1c8dd36d71e57fd0e4d5d26ae3"><div class="ttname"><a href="vector_functions_8h.html#a94303b1c8dd36d71e57fd0e4d5d26ae3">crossProduct</a></div><div class="ttdeci">T * crossProduct(const T *v1, const T *v2)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8h_source.html#l00024">vectorFunctions.h:24</a></div></div>
<div class="ttc" id="vector_functions_8h_html_a3c2b95a1658779bf4d2b104fa9513e75"><div class="ttname"><a href="vector_functions_8h.html#a3c2b95a1658779bf4d2b104fa9513e75">projection</a></div><div class="ttdeci">double * projection(const double *v1, const double *v2)</div><div class="ttdef"><b>Definition:</b> <a href="vector_functions_8cpp_source.html#l00020">vectorFunctions.cpp:20</a></div></div>
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