Mercurial > hg > extraction-interface
annotate geotemco/js/Map/Clustering.js @ 29:fc7342914cdf
develop_v0
author | Zoe Hong <zhong@mpiwg-berlin.mpg.de> |
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date | Thu, 05 Mar 2015 15:08:09 +0100 |
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1 /* |
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2 * Clustering.js |
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3 * |
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4 * Copyright (c) 2012, Stefan Jänicke. All rights reserved. |
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5 * |
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6 * This library is free software; you can redistribute it and/or |
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7 * modify it under the terms of the GNU Lesser General Public |
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8 * License as published by the Free Software Foundation; either |
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9 * version 3 of the License, or (at your option) any later version. |
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10 * |
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11 * This library is distributed in the hope that it will be useful, |
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12 * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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13 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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14 * Lesser General Public License for more details. |
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15 * |
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16 * You should have received a copy of the GNU Lesser General Public |
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17 * License along with this library; if not, write to the Free Software |
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18 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, |
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19 * MA 02110-1301 USA |
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20 */ |
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21 |
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22 /** |
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23 * @class Vertex, Edge, Triangle, Clustering, BinaryHeap |
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24 * Dynamic Delaunay clustering algorithm (see GeoTemCo paper) |
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25 * @author Stefan Jänicke (stjaenicke@informatik.uni-leipzig.de) |
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26 * @release 1.0 |
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27 * @release date: 2012-07-27 |
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28 * @version date: 2012-07-27 |
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29 */ |
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30 |
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31 function Vertex(x, y, categories, binning) { |
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32 this.x = x; |
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33 this.y = y; |
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34 this.radius |
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35 this.size = 0; |
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36 this.elements = []; |
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37 this.radii = []; |
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38 this.weights = []; |
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39 this.legal = true; |
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40 this.binning = binning; |
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41 if (categories != undefined) { |
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42 for (var i = 0; i < categories; i++) { |
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43 this.elements.push([]); |
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44 this.weights.push(0); |
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45 } |
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46 } |
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47 } |
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48 |
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49 Vertex.prototype.merge = function(v0, v1) { |
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50 for (var i = 0; i < v0.elements.length; i++) { |
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51 this.elements[i] = v0.elements[i].concat(v1.elements[i]); |
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52 this.weights[i] = v0.weights[i] + v1.weights[i]; |
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53 this.size += this.weights[i]; |
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54 } |
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55 } |
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56 |
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57 Vertex.prototype.CalculateRadius = function(resolution) { |
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58 this.radii = []; |
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59 for (i in this.elements ) { |
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60 this.radii.push(this.binning.getRadius(this.weights[i])); |
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61 } |
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62 if (this.radii.length == 1) { |
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63 this.radius = this.radii[0] * resolution; |
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64 } else { |
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65 var count = 0; |
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66 var max1 = 0; |
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67 var max2 = 0; |
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68 for (i in this.radii ) { |
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69 if (this.radii[i] != 0) { |
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70 count++; |
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71 } |
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72 if (this.radii[i] > max1) { |
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73 if (max1 > max2) { |
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74 max2 = max1; |
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75 } |
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76 max1 = this.radii[i]; |
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77 } else if (this.radii[i] > max2) { |
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78 max2 = this.radii[i]; |
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79 } |
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80 } |
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81 if (count == 1) { |
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82 this.radius = max1 * resolution; |
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83 } else if (count == 2) { |
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84 this.radius = (max1 + max2) * resolution; |
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85 } else if (count == 3) { |
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86 var d = (2 / 3 * Math.sqrt(3) - 1) * max1; |
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87 this.radius = (d + max1 + max2) * resolution; |
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88 } else if (count == 4) { |
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89 var d = (Math.sqrt(2) - 1) * max2; |
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90 this.radius = (d + max1 + max2) * resolution; |
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91 } |
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92 } |
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93 } |
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94 |
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95 Vertex.prototype.addElement = function(e, weight, index) { |
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96 this.elements[index].push(e); |
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97 this.size += weight; |
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98 this.weights[index] += weight; |
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99 } |
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100 function Edge(v0, v1) { |
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101 this.v0 = v0; |
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102 this.v1 = v1; |
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103 this.leftFace |
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104 this.rightFace |
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105 this.legal = true; |
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106 this.setLength(); |
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107 } |
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108 |
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109 Edge.prototype.setLength = function() { |
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110 var dx = this.v0.x - this.v1.x; |
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111 var dy = this.v0.y - this.v1.y; |
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112 this.length = Math.sqrt(dx * dx + dy * dy); |
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113 } |
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114 |
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115 Edge.prototype.contains = function(v) { |
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116 if (this.v0 == v || this.v1 == v) { |
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117 return true; |
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118 } |
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119 return false; |
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120 } |
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121 |
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122 Edge.prototype.replaceFace = function(f_old, f_new) { |
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123 if (this.leftFace == f_old) { |
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124 this.leftFace = f_new; |
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125 } else if (this.rightFace == f_old) { |
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126 this.rightFace = f_new; |
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127 } |
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128 } |
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129 |
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130 Edge.prototype.setFace = function(f) { |
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131 if (f.leftOf(this)) { |
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132 this.leftFace = f; |
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133 } else { |
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134 this.rightFace = f; |
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135 } |
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136 } |
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137 |
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138 Edge.prototype.setFaces = function(f1, f2) { |
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139 if (f1.leftOf(this)) { |
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140 this.leftFace = f1; |
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141 this.rightFace = f2; |
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142 } else { |
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143 this.leftFace = f2; |
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144 this.rightFace = f1; |
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145 } |
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146 } |
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147 |
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148 Edge.prototype.removeFace = function(f) { |
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149 if (this.leftFace == f) { |
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150 this.leftFace = null; |
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151 } else { |
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152 this.rightFace = null; |
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153 } |
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154 } |
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155 |
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156 Edge.prototype.equals = function(e) { |
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157 if (this.v0 == e.v0 && this.v1 == e.v1 || this.v0 == e.v1 && this.v1 == e.v0) { |
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158 return true; |
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159 } |
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160 return false; |
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161 } |
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162 function Triangle(edges) { |
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163 this.edges = edges; |
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164 this.setVertices(); |
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165 this.descendants = []; |
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166 } |
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167 |
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168 Triangle.prototype.getTriple = function(e) { |
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169 var i = arrayIndex(this.edges, e); |
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170 return { |
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171 e_s : this.edges[(i + 1) % 3], |
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172 e_p : this.edges[(i + 2) % 3], |
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173 u : this.vertices[(i + 2) % 3] |
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174 }; |
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175 } |
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176 |
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177 Triangle.prototype.leftOf = function(e) { |
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178 var i = arrayIndex(this.edges, e); |
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179 if (this.vertices[i].y != this.vertices[(i + 1) % 3].y) { |
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180 return this.vertices[i].y > this.vertices[(i + 1) % 3].y; |
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181 } |
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182 return this.vertices[i].y > this.vertices[(i + 2) % 3].y; |
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183 } |
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184 |
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185 Triangle.prototype.getNext = function(v) { |
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186 var i = arrayIndex(this.vertices, v); |
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187 return this.vertices[(i + 1) % 3]; |
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188 } |
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189 |
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190 Triangle.prototype.oppositeEdge = function(v) { |
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191 var i = arrayIndex(this.vertices, v); |
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192 return this.edges[(i + 1) % 3]; |
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193 } |
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194 |
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195 Triangle.prototype.contains = function(v) { |
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196 return arrayIndex(this.vertices, v) != -1; |
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197 } |
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198 |
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199 Triangle.prototype.replace = function(e_old, e_new) { |
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200 this.edges[arrayIndex(this.edges, e_old)] = e_new; |
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201 } |
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202 |
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203 Triangle.prototype.setVertices = function() { |
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204 if (this.edges[1].v0 == this.edges[0].v0 || this.edges[1].v1 == this.edges[0].v0) { |
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205 this.vertices = [this.edges[0].v1, this.edges[0].v0]; |
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206 } else { |
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207 this.vertices = [this.edges[0].v0, this.edges[0].v1]; |
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208 } |
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209 if (this.edges[2].v0 == this.vertices[0]) { |
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210 this.vertices.push(this.edges[2].v1); |
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211 } else { |
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212 this.vertices.push(this.edges[2].v0); |
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213 } |
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214 } |
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215 |
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216 Triangle.prototype.replaceBy = function(triangles) { |
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217 this.descendants = triangles; |
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218 this.edges[0].replaceFace(this, triangles[0]); |
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219 this.edges[1].replaceFace(this, triangles[1]); |
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220 this.edges[2].replaceFace(this, triangles[2]); |
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221 } |
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222 |
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223 Triangle.prototype.CalcCircumcircle = function() { |
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224 var v0 = this.vertices[0]; |
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225 var v1 = this.vertices[1]; |
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226 var v2 = this.vertices[2]; |
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227 var A = v1.x - v0.x; |
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228 var B = v1.y - v0.y; |
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229 var C = v2.x - v0.x; |
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230 var D = v2.y - v0.y; |
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231 var E = A * (v0.x + v1.x) + B * (v0.y + v1.y); |
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232 var F = C * (v0.x + v2.x) + D * (v0.y + v2.y); |
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233 var G = 2.0 * (A * (v2.y - v1.y) - B * (v2.x - v1.x)); |
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234 var cx = (D * E - B * F) / G; |
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235 var cy = (A * F - C * E) / G; |
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236 this.center = new Vertex(cx, cy); |
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237 var dx = this.center.x - v0.x; |
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238 var dy = this.center.y - v0.y; |
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239 this.radius_squared = dx * dx + dy * dy; |
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240 }; |
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241 |
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242 Triangle.prototype.inCircumcircle = function(v) { |
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243 if (this.radius_squared == undefined) { |
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244 this.CalcCircumcircle(); |
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245 } |
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246 var dx = this.center.x - v.x; |
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247 var dy = this.center.y - v.y; |
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248 var dist_squared = dx * dx + dy * dy; |
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249 return (dist_squared <= this.radius_squared ); |
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250 }; |
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251 |
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252 Triangle.prototype.interior = function(v) { |
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253 var v0 = this.vertices[0]; |
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254 var v1 = this.vertices[1]; |
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255 var v2 = this.vertices[2]; |
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256 var dotAB = (v.x - v0.x ) * (v0.y - v1.y ) + (v.y - v0.y ) * (v1.x - v0.x ); |
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257 var dotBC = (v.x - v1.x ) * (v1.y - v2.y ) + (v.y - v1.y ) * (v2.x - v1.x ); |
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258 var dotCA = (v.x - v2.x ) * (v2.y - v0.y ) + (v.y - v2.y ) * (v0.x - v2.x ); |
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259 if (dotAB > 0 || dotBC > 0 || dotCA > 0) { |
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260 return null; |
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261 } else if (dotAB < 0 && dotBC < 0 && dotCA < 0) { |
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262 return this; |
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263 } else if (dotAB == 0) { |
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264 if (dotBC == 0) { |
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265 return this.vertices[1]; |
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266 } else if (dotCA == 0) { |
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267 return this.vertices[0]; |
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268 } |
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269 return this.edges[0]; |
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270 } else if (dotBC == 0) { |
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271 if (dotCA == 0) { |
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272 return this.vertices[2]; |
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273 } |
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274 return this.edges[1]; |
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275 } else if (dotCA == 0) { |
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276 return this.edges[2]; |
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277 } |
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278 }; |
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279 |
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280 function Clustering(xMin, yMin, xMax, yMax) { |
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281 this.triangles = []; |
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282 this.newTriangles = []; |
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283 this.bbox = { |
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284 x1 : xMin, |
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285 y1 : yMin, |
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286 x2 : xMax, |
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287 y2 : yMax |
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288 }; |
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289 this.CreateBoundingTriangle(); |
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290 this.edges = []; |
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291 this.vertices = []; |
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292 this.legalizes = 0; |
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293 this.collapses = 0; |
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294 } |
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295 |
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296 Clustering.prototype.locate = function(v) { |
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297 if (this.boundingTriangle.descendants.length == 0) { |
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298 return this.boundingTriangle; |
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299 } |
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300 var triangles = this.boundingTriangle.descendants; |
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301 while (true) { |
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302 for (var i = 0; i < triangles.length; i++) { |
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303 var simplex = triangles[i].interior(v); |
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304 if (simplex == null) { |
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305 continue; |
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306 } |
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307 if ( simplex instanceof Vertex || this.isLeaf(triangles[i])) { |
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308 return simplex; |
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309 } |
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310 triangles = triangles[i].descendants; |
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311 break; |
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312 } |
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313 } |
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314 } |
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315 |
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316 Clustering.prototype.legalize = function(v, e, t0_old) { |
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317 if (!e.v0.legal && !e.v1.legal) { |
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318 return; |
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319 } |
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320 this.legalizes++; |
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321 var flip = false; |
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322 var t1_old, tr1; |
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323 if (e.leftFace == t0_old && e.rightFace.inCircumcircle(v)) { |
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324 flip = true; |
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325 t1_old = e.rightFace; |
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326 } else if (e.rightFace == t0_old && e.leftFace.inCircumcircle(v)) { |
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327 flip = true; |
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328 t1_old = e.leftFace; |
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329 } |
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330 if (flip) { |
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331 var tr0 = t0_old.getTriple(e); |
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332 var tr1 = t1_old.getTriple(e); |
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333 var e_flip = new Edge(tr0.u, tr1.u); |
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334 var poly = []; |
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335 poly.push(e.v0); |
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336 poly.push(e_flip.v0); |
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337 poly.push(e.v1); |
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338 poly.push(e_flip.v1); |
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339 if (!this.JordanTest(poly, e_flip)) { |
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340 return; |
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341 } |
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342 e.legal = false; |
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343 this.edges.push(e_flip); |
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344 var t0_new = new Triangle([e_flip, tr0.e_p, tr1.e_s]); |
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345 var t1_new = new Triangle([e_flip, tr1.e_p, tr0.e_s]); |
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346 e_flip.setFaces(t0_new, t1_new); |
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347 tr0.e_p.replaceFace(t0_old, t0_new); |
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348 tr1.e_s.replaceFace(t1_old, t0_new); |
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349 tr1.e_p.replaceFace(t1_old, t1_new); |
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350 tr0.e_s.replaceFace(t0_old, t1_new); |
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351 t0_old.descendants = [t0_new, t1_new]; |
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352 t1_old.descendants = [t0_new, t1_new]; |
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353 this.legalize(v, t0_new.edges[2], t0_new); |
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354 this.legalize(v, t1_new.edges[1], t1_new); |
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355 } |
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356 } |
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357 |
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358 Clustering.prototype.add = function(v) { |
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359 this.addVertex(v, this.locate(v)); |
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360 } |
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361 |
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362 Clustering.prototype.addVertex = function(v, simplex) { |
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363 if ( simplex instanceof Vertex) { |
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364 simplex.merge(simplex, v); |
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365 } else if ( simplex instanceof Edge) { |
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366 this.vertices.push(v); |
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367 simplex.legal = false; |
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368 var tr0 = simplex.leftFace.getTriple(simplex); |
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369 var tr1 = simplex.rightFace.getTriple(simplex); |
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370 var e0 = new Edge(v, tr0.u); |
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371 var e1 = new Edge(v, simplex.leftFace.getNext(tr0.u)); |
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372 var e2 = new Edge(v, tr1.u); |
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373 var e3 = new Edge(v, simplex.rightFace.getNext(tr1.u)); |
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374 var t0 = new Triangle([e0, tr0.e_p, e1]); |
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375 var t1 = new Triangle([e1, tr1.e_s, e2]); |
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376 var t2 = new Triangle([e2, tr1.e_p, e3]); |
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377 var t3 = new Triangle([e3, tr0.e_s, e0]); |
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378 simplex.leftFace.descendants = [t0, t3]; |
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379 simplex.rightFace.descendants = [t1, t2]; |
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380 this.edges.push(e0); |
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381 this.edges.push(e1); |
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382 this.edges.push(e2); |
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383 this.edges.push(e3); |
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384 e0.setFaces(t0, t3); |
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385 e1.setFaces(t0, t1); |
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386 e2.setFaces(t1, t2); |
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387 e3.setFaces(t2, t3); |
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388 tr0.e_p.replaceFace(simplex.leftFace, t0); |
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389 tr1.e_s.replaceFace(simplex.rightFace, t1); |
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390 tr1.e_p.replaceFace(simplex.rightFace, t2); |
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391 tr0.e_s.replaceFace(simplex.leftFace, t3); |
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392 this.legalize(v, tr0.e_p, t0); |
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393 this.legalize(v, tr1.e_s, t1); |
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394 this.legalize(v, tr1.e_p, t2); |
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395 this.legalize(v, tr0.e_s, t3); |
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396 } else { |
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397 this.vertices.push(v); |
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398 var e_i = new Edge(simplex.vertices[0], v); |
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399 var e_j = new Edge(simplex.vertices[1], v); |
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400 var e_k = new Edge(simplex.vertices[2], v); |
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401 this.edges.push(e_i); |
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402 this.edges.push(e_j); |
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403 this.edges.push(e_k); |
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404 var t0 = new Triangle([e_i, simplex.edges[0], e_j]); |
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405 var t1 = new Triangle([e_j, simplex.edges[1], e_k]); |
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406 var t2 = new Triangle([e_k, simplex.edges[2], e_i]); |
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407 e_i.setFaces(t0, t2); |
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408 e_j.setFaces(t0, t1); |
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409 e_k.setFaces(t1, t2); |
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410 simplex.replaceBy([t0, t1, t2]); |
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411 this.legalize(v, simplex.edges[0], t0); |
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412 this.legalize(v, simplex.edges[1], t1); |
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413 this.legalize(v, simplex.edges[2], t2); |
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414 } |
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415 } |
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416 |
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417 Clustering.prototype.isLeaf = function(t) { |
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418 return t.descendants.length == 0; |
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419 } |
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420 |
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421 Clustering.prototype.CreateBoundingTriangle = function() { |
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422 var dx = (this.bbox.x2 - this.bbox.x1 ) * 10; |
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423 var dy = (this.bbox.y2 - this.bbox.y1 ) * 10; |
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424 var v0 = new Vertex(this.bbox.x1 - dx, this.bbox.y1 - dy * 3); |
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425 var v1 = new Vertex(this.bbox.x2 + dx * 3, this.bbox.y2 + dy); |
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426 var v2 = new Vertex(this.bbox.x1 - dx, this.bbox.y2 + dy); |
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427 var e0 = new Edge(v1, v0); |
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428 var e1 = new Edge(v0, v2); |
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429 var e2 = new Edge(v2, v1); |
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430 v0.legal = false; |
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431 v1.legal = false; |
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432 v2.legal = false; |
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433 this.boundingTriangle = new Triangle([e0, e1, e2]); |
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434 var inf = new Triangle([e0, e1, e2]); |
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435 e0.setFaces(this.boundingTriangle, inf); |
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436 e1.setFaces(this.boundingTriangle, inf); |
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437 e2.setFaces(this.boundingTriangle, inf); |
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438 } |
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439 |
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440 Clustering.prototype.mergeVertices = function(e) { |
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441 this.collapses++; |
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442 var s0 = e.v0.size; |
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443 var s1 = e.v1.size; |
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444 var x = (e.v0.x * s0 + e.v1.x * s1 ) / (s0 + s1 ); |
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445 var y = (e.v0.y * s0 + e.v1.y * s1 ) / (s0 + s1 ); |
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446 var v = new Vertex(x, y, e.v0.elements.length, e.v0.binning); |
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447 v.merge(e.v0, e.v1); |
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448 |
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449 e.v0.legal = false; |
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450 e.v1.legal = false; |
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451 |
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452 var hole = []; |
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453 var oldFacets = []; |
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454 e.legal = false; |
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455 |
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456 var vertices = []; |
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457 var traverse = function(eLeft, eRight, triangle) { |
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458 eLeft.legal = false; |
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459 do { |
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460 var triple; |
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461 if (eLeft.leftFace == triangle) { |
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462 triple = eLeft.rightFace.getTriple(eLeft); |
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463 oldFacets.push(eLeft.rightFace); |
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464 triple.e_s.removeFace(eLeft.rightFace); |
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465 triangle = eLeft.rightFace; |
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466 } else { |
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467 triple = eLeft.leftFace.getTriple(eLeft); |
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468 oldFacets.push(eLeft.leftFace); |
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469 triple.e_s.removeFace(eLeft.leftFace); |
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470 triangle = eLeft.leftFace; |
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471 } |
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472 if (arrayIndex(hole, triple.e_s) == -1) { |
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473 hole.push(triple.e_s); |
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474 } |
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475 vertices.push(triple.u); |
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476 eLeft = triple.e_p; |
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477 eLeft.legal = false; |
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478 } while( eLeft != eRight ); |
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479 } |
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480 var tr0 = e.leftFace.getTriple(e); |
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481 var tr1 = e.rightFace.getTriple(e); |
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482 oldFacets.push(e.leftFace); |
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483 oldFacets.push(e.rightFace); |
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484 traverse(tr0.e_p, tr1.e_s, e.leftFace); |
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485 traverse(tr1.e_p, tr0.e_s, e.rightFace); |
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486 |
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487 var hd = new Clustering(this.bbox.x1 - 10, this.bbox.y1 - 10, this.bbox.x2 + 10, this.bbox.y2 + 10); |
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488 var hull = []; |
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489 for (var i in hole ) { |
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490 if (!(hole[i].leftFace == null && hole[i].rightFace == null)) { |
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491 hull.push(hole[i].v0); |
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492 hull.push(hole[i].v1); |
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493 } |
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494 } |
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495 var hullVertices = []; |
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496 var distinct = []; |
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497 for (var i in vertices ) { |
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498 if (arrayIndex(distinct, vertices[i]) == -1) { |
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499 hd.add(vertices[i]); |
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500 distinct.push(vertices[i]); |
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501 } |
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502 if (arrayIndex(hull, vertices[i]) != -1) { |
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503 hullVertices.push(vertices[i]); |
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504 } |
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505 } |
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506 |
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507 var newFacets = []; |
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508 var isBoundary = function(e) { |
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509 for (var i = 0; i < hole.length; i++) { |
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510 if (hole[i].equals(e)) { |
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511 return i; |
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512 } |
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513 } |
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514 return -1; |
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515 } |
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516 var holeEdges = new Array(hole.length); |
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517 var nonHoleEdges = []; |
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518 |
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519 for (var i = 0; i < hd.edges.length; i++) { |
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520 var e = hd.edges[i]; |
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521 var b = isBoundary(e); |
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522 if (b != -1) { |
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523 if (!e.legal) { |
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524 var t1 = e.leftFace.getTriple(e); |
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525 var t2 = e.rightFace.getTriple(e); |
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526 var edge = new Edge(t1.u, t2.u); |
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527 for (var j = 0; j < hd.edges.length; j++) { |
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528 if (hd.edges[j].equals(edge) && hd.edges[j].legal) { |
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529 hd.edges[j].legal = false; |
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530 break; |
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531 } |
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532 } |
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533 t1.e_p.setFace(e.leftFace); |
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534 t1.e_s.setFace(e.leftFace); |
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535 t2.e_p.setFace(e.rightFace); |
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536 t2.e_s.setFace(e.rightFace); |
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537 |
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538 e.legal = true; |
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539 } |
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540 holeEdges[b] = e; |
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541 } else { |
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542 nonHoleEdges.push(e); |
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543 } |
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544 } |
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545 |
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546 for (var i = 0; i < holeEdges.length; i++) { |
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547 var e = holeEdges[i]; |
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548 if (hole[i].leftFace == null) { |
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549 hole[i].leftFace = e.leftFace; |
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550 hole[i].leftFace.replace(e, hole[i]); |
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551 if (arrayIndex(newFacets, hole[i].leftFace) == -1) { |
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552 newFacets.push(hole[i].leftFace); |
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553 } |
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554 } |
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555 if (hole[i].rightFace == null) { |
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556 hole[i].rightFace = e.rightFace; |
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557 hole[i].rightFace.replace(e, hole[i]); |
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558 if (arrayIndex(newFacets, hole[i].rightFace) == -1) { |
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559 newFacets.push(hole[i].rightFace); |
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560 } |
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561 } |
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562 } |
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563 |
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564 for (var i = 0; i < nonHoleEdges.length; i++) { |
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565 var e = nonHoleEdges[i]; |
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566 if (!e.legal) { |
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567 continue; |
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568 } |
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569 if (this.JordanTest(hullVertices, e)) { |
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570 this.edges.push(e); |
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571 if (arrayIndex(newFacets, e.rightFace) == -1) { |
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572 newFacets.push(e.rightFace); |
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573 } |
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574 if (arrayIndex(newFacets, e.leftFace) == -1) { |
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575 newFacets.push(e.leftFace); |
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576 } |
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577 } |
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578 } |
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579 |
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580 for (var i in oldFacets ) { |
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581 oldFacets[i].descendants = newFacets; |
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582 } |
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583 |
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584 for (var i = 0; i < newFacets.length; i++) { |
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585 var simplex = newFacets[i].interior(v); |
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586 if (simplex == null) { |
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587 continue; |
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588 } else { |
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589 this.addVertex(v, simplex); |
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590 break; |
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591 } |
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592 } |
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593 |
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594 return v; |
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595 |
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596 } |
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597 |
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598 Clustering.prototype.JordanTest = function(pol, e) { |
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599 var p = new Vertex((e.v0.x + e.v1.x) * 0.5, (e.v0.y + e.v1.y) * 0.5); |
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600 var inside = false; |
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601 var i, j = pol.length - 1; |
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602 for ( i = 0; i < pol.length; j = i++) { |
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603 var p1 = pol[i]; |
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604 var p2 = pol[j]; |
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605 if ((((p1.y <= p.y) && (p.y < p2.y)) || ((p2.y <= p.y) && (p.y < p1.y))) && (p.x < (p2.x - p1.x) * (p.y - p1.y) / (p2.y - p1.y) + p1.x)) |
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606 inside = !inside; |
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607 } |
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608 return inside; |
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609 } |
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610 |
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611 Clustering.prototype.mergeForResolution = function(resolution, circleGap, circleOverlap) { |
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612 this.deleteEdges = new BinaryHeap(function(e) { |
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613 return e.weight; |
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614 }); |
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615 this.weightEdges(resolution, circleGap, circleOverlap); |
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616 var index = 0; |
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617 while (this.deleteEdges.size() > 0) { |
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618 var e = this.deleteEdges.pop(); |
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619 if (e.legal) { |
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620 var l = this.edges.length; |
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621 var newVertex = this.mergeVertices(e); |
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622 newVertex.CalculateRadius(resolution); |
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623 for (var k = l; k < this.edges.length; k++) { |
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624 var eNew = this.edges[k]; |
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625 if (eNew.legal) { |
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626 if( circleGap != 0 ){ |
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627 eNew.weight = eNew.length / (eNew.v0.radius + eNew.v1.radius + circleGap * resolution ); |
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628 } |
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629 else if( circleOverlap.overlap == 0 ){ |
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630 eNew.weight = eNew.length / (eNew.v0.radius + eNew.v1.radius); |
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631 } |
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632 else { |
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633 var r1 = eNew.v0.radius; |
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634 var r2 = eNew.v1.radius; |
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635 var r = eNew.length; |
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636 if( r < r1 + r2 ){ |
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637 if( circleOverlap.type == 'diameter' ){ |
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638 var ol1 = (r2-(r-r1)) / r1 / 2; |
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639 var ol2 = (r1-(r-r2)) / r2 / 2; |
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640 var ol = Math.max(ol1,ol2); |
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641 eNew.weight = circleOverlap.overlap / ol; |
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642 } |
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643 if( circleOverlap.type == 'area' ){ |
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644 if( !(r+r1 < r2 || r+r2 < r1) ){ |
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645 var A = r2*r2*Math.acos((r*r+r2*r2-r1*r1)/(2*r*r2))+r1*r1*Math.acos((r*r+r1*r1-r2*r2)/(2*r*r1))-1/2*Math.sqrt((-r+r1+r2)*(r-r1+r2)*(r+r1-r2)*(r+r1+r2)); |
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646 var ol1 = A / (Math.PI*r1*r1); |
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647 var ol2 = A / (Math.PI*r2*r2); |
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648 var ol = Math.max(ol1,ol2); |
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649 eNew.weight = circleOverlap.overlap / ol; |
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650 } |
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651 else { |
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652 eNew.weight = 0; |
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653 } |
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654 } |
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655 } |
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656 } |
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657 if (eNew.weight < 1) { |
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658 this.deleteEdges.push(eNew); |
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659 } |
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660 } |
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661 } |
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662 } |
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663 } |
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664 } |
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665 |
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666 Clustering.prototype.weightEdges = function(resolution, circleGap, circleOverlap) { |
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667 for (var i = 0; i < this.vertices.length; i++) { |
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668 if (this.vertices[i].legal) { |
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669 this.vertices[i].CalculateRadius(resolution); |
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670 } |
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671 } |
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672 var newEdges = []; |
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673 for (var i = 0; i < this.edges.length; i++) { |
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674 var e = this.edges[i]; |
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675 if (e.legal) { |
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676 if (!e.v0.legal || !e.v1.legal) { |
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677 e.weight = 1; |
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678 } else { |
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679 if( circleGap != 0 ){ |
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680 e.weight = e.length / (e.v0.radius + e.v1.radius + circleGap * resolution ); |
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681 } |
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682 else if( circleOverlap.overlap == 0 ){ |
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683 e.weight = e.length / (e.v0.radius + e.v1.radius); |
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684 } |
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685 else { |
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686 var r1 = e.v0.radius; |
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687 var r2 = e.v1.radius; |
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688 var r = e.length; |
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689 if( r < r1 + r2 ){ |
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690 if( circleOverlap.type == 'diameter' ){ |
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691 var ol1 = (r2-(r-r1)) / r1 / 2; |
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692 var ol2 = (r1-(r-r2)) / r2 / 2; |
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693 var ol = Math.max(ol1,ol2); |
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694 e.weight = circleOverlap.overlap / ol; |
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695 } |
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696 if( circleOverlap.type == 'area' ){ |
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697 if( !(r+r1 < r2 || r+r2 < r1) ){ |
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698 var A = r2*r2*Math.acos((r*r+r2*r2-r1*r1)/(2*r*r2))+r1*r1*Math.acos((r*r+r1*r1-r2*r2)/(2*r*r1))-1/2*Math.sqrt((-r+r1+r2)*(r-r1+r2)*(r+r1-r2)*(r+r1+r2)); |
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699 var ol1 = A / (Math.PI*r1*r1); |
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700 var ol2 = A / (Math.PI*r2*r2); |
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701 var ol = Math.max(ol1,ol2); |
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702 e.weight = circleOverlap.overlap / ol; |
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703 } |
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704 else { |
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705 e.weight = 0; |
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706 } |
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707 } |
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708 } |
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709 } |
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710 if (e.weight < 1) { |
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711 this.deleteEdges.push(e); |
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712 } |
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713 } |
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714 newEdges.push(e); |
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715 } |
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716 } |
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717 this.edges = newEdges; |
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718 } |
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719 |
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720 Clustering.prototype.ValidityTest = function() { |
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721 console.info("Test 1: Valid Delaunay ..."); |
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722 /* |
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723 var leafs = []; |
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724 var triangles = this.boundingTriangle.descendants; |
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725 var j = 0; |
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726 while( triangles.length > j ){ |
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727 var t = triangles[j]; |
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728 if( t.taken == undefined ){ |
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729 t.taken = true; |
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730 if( this.isLeaf(t) ){ |
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731 leafs.push(t); |
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732 } |
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733 else { |
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734 triangles = triangles.concat(t.descendants); |
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735 } |
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736 } |
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737 j++; |
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738 } |
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739 console.info(" Number of Triangles: "+leafs.length); |
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740 |
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741 var c = 0; |
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742 for( i in this.edges ){ |
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743 if( this.edges[i].legal ){ |
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744 c++; |
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745 } |
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746 } |
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747 console.info(" Number of Edges: "+c);*/ |
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748 /* |
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749 |
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750 for( var i=0; i<leafs.length; i++ ){ |
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751 for( var j=0; j<vertices.length; j++ ){ |
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752 if( !leafs[i].contains(vertices[j]) && leafs[i].inCircumcircle(vertices[j]) ){ |
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753 console.info(leafs[i],vertices[j]); |
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754 |
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755 } |
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756 } |
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757 } |
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758 */ |
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759 |
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760 //console.info("Test 2: Edges Facets (null) ..."); |
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761 for (i in this.edges ) { |
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762 var e = this.edges[i]; |
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763 if (e.leftFace == null || e.rightFace == null) { |
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764 console.info(e); |
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765 alert(); |
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766 } |
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767 } |
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768 |
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769 //console.info("Test 3: Edges Facets ..."); |
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770 var leftOf = function(v1, v2, v) { |
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771 var x2 = v1.x - v2.x; |
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772 var x3 = v1.x - v.x; |
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773 var y2 = v1.y - v2.y; |
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774 var y3 = v1.y - v.y; |
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775 if (x2 * y3 - y2 * x3 < 0) { |
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776 return true; |
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777 } |
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778 return false; |
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779 } |
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780 var c = 0; |
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781 for (i in this.edges ) { |
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782 var e = this.edges[i]; |
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783 var t1 = e.leftFace.getTriple(e); |
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784 var t2 = e.rightFace.getTriple(e); |
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785 if (e.v0.y == e.v1.y) { |
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786 if (t1.u.y > t2.u.y) { |
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787 console.info("equal y conflict ..."); |
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788 console.info(e); |
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789 alert(); |
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790 c++; |
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791 } |
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792 } else { |
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793 var v1, v2; |
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794 if (e.v0.y > e.v1.y) { |
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795 v1 = e.v0; |
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796 v2 = e.v1; |
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797 } else { |
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798 v1 = e.v1; |
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799 v2 = e.v0; |
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800 } |
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801 if (!leftOf(v1, v2, t1.u)) { |
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802 console.info("left right conflict ... left is right"); |
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803 console.info(e); |
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804 alert(); |
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805 c++; |
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806 } |
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807 if (leftOf(v1, v2, t2.u)) { |
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808 console.info("left right conflict ... right is left"); |
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809 console.info(e); |
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810 alert(); |
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811 c++; |
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812 } |
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813 } |
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814 } |
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815 //console.info("Number of Edges: "+this.edges.length); |
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816 //console.info("Number of Conflicts: "+c); |
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817 |
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818 for (i in this.edges ) { |
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819 if (this.edges[i].legal) { |
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820 var e = this.edges[i]; |
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821 var tr0 = e.leftFace.getTriple(e); |
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822 var tr1 = e.rightFace.getTriple(e); |
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823 if (!tr0.e_p.legal || !tr0.e_s.legal || !tr1.e_p.legal || !tr1.e_s.legal) { |
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824 console.info(e); |
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825 console.info("conflict in edge continuity"); |
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826 return; |
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827 } |
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828 } |
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829 } |
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830 |
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831 } |
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832 function BinaryHeap(scoreFunction) { |
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833 this.content = []; |
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834 this.scoreFunction = scoreFunction; |
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835 } |
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836 |
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837 BinaryHeap.prototype = { |
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838 push : function(element) { |
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839 // Add the new element to the end of the array. |
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840 this.content.push(element); |
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841 // Allow it to bubble up. |
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842 this.bubbleUp(this.content.length - 1); |
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843 }, |
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844 |
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845 pop : function() { |
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846 // Store the first element so we can return it later. |
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847 var result = this.content[0]; |
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848 // Get the element at the end of the array. |
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849 var end = this.content.pop(); |
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850 // If there are any elements left, put the end element at the |
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851 // start, and let it sink down. |
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852 if (this.content.length > 0) { |
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853 this.content[0] = end; |
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854 this.sinkDown(0); |
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855 } |
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856 return result; |
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857 }, |
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858 |
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859 remove : function(node) { |
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860 var len = this.content.length; |
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861 // To remove a value, we must search through the array to find |
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862 // it. |
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863 for (var i = 0; i < len; i++) { |
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864 if (this.content[i] == node) { |
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865 // When it is found, the process seen in 'pop' is repeated |
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866 // to fill up the hole. |
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867 var end = this.content.pop(); |
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868 if (i != len - 1) { |
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869 this.content[i] = end; |
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870 if (this.scoreFunction(end) < this.scoreFunction(node)) |
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871 this.bubbleUp(i); |
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872 else |
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873 this.sinkDown(i); |
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874 } |
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875 return; |
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876 } |
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877 } |
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878 throw new Error("Node not found."); |
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879 }, |
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880 |
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881 size : function() { |
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882 return this.content.length; |
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883 }, |
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884 |
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885 bubbleUp : function(n) { |
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886 // Fetch the element that has to be moved. |
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887 var element = this.content[n]; |
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888 // When at 0, an element can not go up any further. |
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889 while (n > 0) { |
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890 // Compute the parent element's index, and fetch it. |
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891 var parentN = Math.floor((n + 1) / 2) - 1, parent = this.content[parentN]; |
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892 // Swap the elements if the parent is greater. |
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893 if (this.scoreFunction(element) < this.scoreFunction(parent)) { |
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894 this.content[parentN] = element; |
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895 this.content[n] = parent; |
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896 // Update 'n' to continue at the new position. |
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897 n = parentN; |
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898 |
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899 } |
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900 // Found a parent that is less, no need to move it further. |
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901 else { |
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902 break; |
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903 } |
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904 } |
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905 }, |
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906 |
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907 sinkDown : function(n) { |
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908 // Look up the target element and its score. |
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909 var length = this.content.length, element = this.content[n], elemScore = this.scoreFunction(element); |
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910 |
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911 while (true) { |
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912 // Compute the indices of the child elements. |
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913 var child2N = (n + 1) * 2, child1N = child2N - 1; |
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914 // This is used to store the new position of the element, |
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915 // if any. |
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916 var swap = null; |
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917 // If the first child exists (is inside the array)... |
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918 if (child1N < length) { |
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919 // Look it up and compute its score. |
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920 var child1 = this.content[child1N], child1Score = this.scoreFunction(child1); |
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921 // If the score is less than our element's, we need to swap. |
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922 if (child1Score < elemScore) |
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923 swap = child1N; |
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924 } |
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925 // Do the same checks for the other child. |
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926 if (child2N < length) { |
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927 var child2 = this.content[child2N], child2Score = this.scoreFunction(child2); |
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928 if (child2Score < (swap == null ? elemScore : child1Score)) |
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929 swap = child2N; |
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930 } |
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931 |
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932 // If the element needs to be moved, swap it, and continue. |
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933 if (swap != null) { |
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934 this.content[n] = this.content[swap]; |
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935 this.content[swap] = element; |
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936 n = swap; |
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937 } |
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938 // Otherwise, we are done. |
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939 else { |
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940 break; |
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941 } |
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942 } |
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943 } |
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944 }; |