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<a href="wall_8cc.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">// Voro++, a 3D cell-based Voronoi library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// Author : Chris H. Rycroft (LBL / UC Berkeley)</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// Email : chr@alum.mit.edu</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">// Date : August 30th 2011</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">/** \file wall.cc</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * \brief Function implementations for the derived wall classes. */</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="wall_8hh.html" title="Header file for the derived wall classes.">wall.hh</a>&quot;</span></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="keyword">namespace </span>voro {</div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment">/** Tests to see whether a point is inside the sphere wall object.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> * \param[in,out] (x,y,z) the vector to test.</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> * \return True if the point is inside, false if the point is outside. */</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"><a class="code" href="structvoro_1_1wall__sphere.html#a08695201299833a5ccebecc016fe8413"> 17</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="structvoro_1_1wall__sphere.html#a08695201299833a5ccebecc016fe8413">wall_sphere::point_inside</a>(<span class="keywordtype">double</span> x,<span class="keywordtype">double</span> y,<span class="keywordtype">double</span> z) {</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; <span class="keywordflow">return</span> (x-xc)*(x-xc)+(y-yc)*(y-yc)+(z-zc)*(z-zc)&lt;rc*rc;</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;}</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment">/** Cuts a cell by the sphere wall object. The spherical wall is approximated by</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="comment"> * a single plane applied at the point on the sphere which is closest to the center</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="comment"> * of the cell. This works well for particle arrangements that are packed against</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="comment"> * the wall, but loses accuracy for sparse particle distributions.</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="comment"> * \param[in,out] c the Voronoi cell to be cut.</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="comment"> * \param[in] (x,y,z) the location of the Voronoi cell.</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="comment"> * \return True if the cell still exists, false if the cell is deleted. */</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> v_cell&gt;</div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="code" href="structvoro_1_1wall__sphere.html#a3779ab19fab2ed104f8a8c0bdb5773b4"> 29</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="structvoro_1_1wall__sphere.html#a3779ab19fab2ed104f8a8c0bdb5773b4">wall_sphere::cut_cell_base</a>(v_cell &amp;c,<span class="keywordtype">double</span> x,<span class="keywordtype">double</span> y,<span class="keywordtype">double</span> z) {</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; <span class="keywordtype">double</span> xd=x-xc,yd=y-yc,zd=z-zc,dq=xd*xd+yd*yd+zd*zd;</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="keywordflow">if</span> (dq&gt;1e-5) {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; dq=2*(sqrt(dq)*rc-dq);</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keywordflow">return</span> c.nplane(xd,yd,zd,dq,w_id);</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; }</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;}</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="comment">/** Tests to see whether a point is inside the plane wall object.</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="comment"> * \param[in] (x,y,z) the vector to test.</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="comment"> * \return True if the point is inside, false if the point is outside. */</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="code" href="structvoro_1_1wall__plane.html#a8168f370f6817ccbd4870b1494b4321d"> 41</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="structvoro_1_1wall__plane.html#a8168f370f6817ccbd4870b1494b4321d">wall_plane::point_inside</a>(<span class="keywordtype">double</span> x,<span class="keywordtype">double</span> y,<span class="keywordtype">double</span> z) {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">return</span> x*xc+y*yc+z*zc&lt;ac;</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="comment"></span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="comment">/** Cuts a cell by the plane wall object.</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="comment"> * \param[in,out] c the Voronoi cell to be cut.</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="comment"> * \param[in] (x,y,z) the location of the Voronoi cell.</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="comment"> * \return True if the cell still exists, false if the cell is deleted. */</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> v_cell&gt;</div>
<div class="line"><a name="l00050"></a><span class="lineno"><a class="code" href="structvoro_1_1wall__plane.html#a8d2515cef30dbd7594a4403d502b4fe5"> 50</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="structvoro_1_1wall__plane.html#a8d2515cef30dbd7594a4403d502b4fe5">wall_plane::cut_cell_base</a>(v_cell &amp;c,<span class="keywordtype">double</span> x,<span class="keywordtype">double</span> y,<span class="keywordtype">double</span> z) {</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordtype">double</span> dq=2*(ac-x*xc-y*yc-z*zc);</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <span class="keywordflow">return</span> c.nplane(xc,yc,zc,dq,w_id);</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;}</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="comment">/** Tests to see whether a point is inside the cylindrical wall object.</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="comment"> * \param[in] (x,y,z) the vector to test.</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="comment"> * \return True if the point is inside, false if the point is outside. */</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"><a class="code" href="structvoro_1_1wall__cylinder.html#a338b12542139088159acac3f5face2f7"> 58</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="structvoro_1_1wall__cylinder.html#a338b12542139088159acac3f5face2f7">wall_cylinder::point_inside</a>(<span class="keywordtype">double</span> x,<span class="keywordtype">double</span> y,<span class="keywordtype">double</span> z) {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keywordtype">double</span> xd=x-xc,yd=y-yc,zd=z-zc;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="keywordtype">double</span> pa=(xd*xa+yd*ya+zd*za)*asi;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; xd-=xa*pa;yd-=ya*pa;zd-=za*pa;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keywordflow">return</span> xd*xd+yd*yd+zd*zd&lt;rc*rc;</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="l00065"></a><span class="lineno"> 65</span>&#160;<span class="comment">/** Cuts a cell by the cylindrical wall object. The cylindrical wall is</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="comment"> * approximated by a single plane applied at the point on the cylinder which is</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;<span class="comment"> * closest to the center of the cell. This works well for particle arrangements</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;<span class="comment"> * that are packed against the wall, but loses accuracy for sparse particle</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="comment"> * distributions.</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="comment"> * \param[in,out] c the Voronoi cell to be cut.</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="comment"> * \param[in] (x,y,z) the location of the Voronoi cell.</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="comment"> * \return True if the cell still exists, false if the cell is deleted. */</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> v_cell&gt;</div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="code" href="structvoro_1_1wall__cylinder.html#ada478166ad7607c53d691608c7806cca"> 74</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="structvoro_1_1wall__cylinder.html#ada478166ad7607c53d691608c7806cca">wall_cylinder::cut_cell_base</a>(v_cell &amp;c,<span class="keywordtype">double</span> x,<span class="keywordtype">double</span> y,<span class="keywordtype">double</span> z) {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordtype">double</span> xd=x-xc,yd=y-yc,zd=z-zc,pa=(xd*xa+yd*ya+zd*za)*asi;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; xd-=xa*pa;yd-=ya*pa;zd-=za*pa;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; pa=xd*xd+yd*yd+zd*zd;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <span class="keywordflow">if</span>(pa&gt;1e-5) {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; pa=2*(sqrt(pa)*rc-pa);</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">return</span> c.nplane(xd,yd,zd,pa,w_id);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; }</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;}</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;<span class="comment">/** Tests to see whether a point is inside the cone wall object.</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="comment"> * \param[in] (x,y,z) the vector to test.</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;<span class="comment"> * \return True if the point is inside, false if the point is outside. */</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="code" href="structvoro_1_1wall__cone.html#a5bcbbcdbe0c36285c6630dd92380a091"> 88</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="structvoro_1_1wall__cone.html#a5bcbbcdbe0c36285c6630dd92380a091">wall_cone::point_inside</a>(<span class="keywordtype">double</span> x,<span class="keywordtype">double</span> y,<span class="keywordtype">double</span> z) {</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="keywordtype">double</span> xd=x-xc,yd=y-yc,zd=z-zc,pa=(xd*xa+yd*ya+zd*za)*asi;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; xd-=xa*pa;yd-=ya*pa;zd-=za*pa;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; pa*=gra;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keywordflow">if</span> (pa&lt;0) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; pa*=pa;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keywordflow">return</span> xd*xd+yd*yd+zd*zd&lt;pa;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;}</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="comment">/** Cuts a cell by the cone wall object. The conical wall is</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="comment"> * approximated by a single plane applied at the point on the cone which is</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="comment"> * closest to the center of the cell. This works well for particle arrangements</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;<span class="comment"> * that are packed against the wall, but loses accuracy for sparse particle</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;<span class="comment"> * distributions.</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;<span class="comment"> * \param[in,out] c the Voronoi cell to be cut.</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;<span class="comment"> * \param[in] (x,y,z) the location of the Voronoi cell.</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="comment"> * \return True if the cell still exists, false if the cell is deleted. */</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> v_cell&gt;</div>
<div class="line"><a name="l00106"></a><span class="lineno"><a class="code" href="structvoro_1_1wall__cone.html#ad39d47ee5d007dab3728e45efdaf0db7"> 106</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="structvoro_1_1wall__cone.html#ad39d47ee5d007dab3728e45efdaf0db7">wall_cone::cut_cell_base</a>(v_cell &amp;c,<span class="keywordtype">double</span> x,<span class="keywordtype">double</span> y,<span class="keywordtype">double</span> z) {</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keywordtype">double</span> xd=x-xc,yd=y-yc,zd=z-zc,xf,yf,zf,q,pa=(xd*xa+yd*ya+zd*za)*asi;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; xd-=xa*pa;yd-=ya*pa;zd-=za*pa;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; pa=xd*xd+yd*yd+zd*zd;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keywordflow">if</span>(pa&gt;1e-5) {</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; pa=1/sqrt(pa);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; q=sqrt(asi);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; xf=-sang*q*xa+cang*pa*xd;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; yf=-sang*q*ya+cang*pa*yd;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; zf=-sang*q*za+cang*pa*zd;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; pa=2*(xf*(xc-x)+yf*(yc-y)+zf*(zc-z));</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keywordflow">return</span> c.nplane(xf,yf,zf,pa,w_id);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; }</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</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>
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