Mercurial > dive4elements > gnv-client
annotate gnv-artifacts/src/main/java/de/intevation/gnv/math/Interpolation2D.java @ 605:e8ebdbc7f1e3
First step of removing the cache blob. The static part of the describe document will be created by using the input data stored at each state. Some TODOs left (see ChangeLog).
gnv-artifacts/trunk@671 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author | Ingo Weinzierl <ingo.weinzierl@intevation.de> |
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date | Tue, 09 Feb 2010 14:27:55 +0000 |
parents | 44415ae01ddb |
children | 9a828e5a2390 |
rev | line source |
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1 package de.intevation.gnv.math; |
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2 |
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3 import com.vividsolutions.jts.geom.Coordinate; |
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4 import com.vividsolutions.jts.geom.Envelope; |
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5 |
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6 import com.vividsolutions.jts.index.strtree.STRtree; |
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7 |
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8 import java.util.List; |
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9 |
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10 import org.apache.log4j.Logger; |
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11 |
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12 /** |
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13 * @author Sascha L. Teichmann (sascha.teichmann@intevation.de) |
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14 */ |
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15 public final class Interpolation2D |
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16 { |
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17 private static Logger log = Logger.getLogger(Interpolation2D.class); |
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18 |
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19 public static final int CULL_POINT_THRESHOLD = Integer.getInteger( |
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20 "gnv.interpolation2d.cull.point.threshold", 1000); |
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21 |
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22 public static final double EPS = 1e-6d; |
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23 |
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24 public interface Consumer { |
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25 void interpolated(Coordinate point, boolean success); |
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26 } // interface Consumer |
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27 |
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28 private Interpolation2D() { |
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29 } |
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30 |
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31 public static final Envelope relevantArea( |
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32 List<? extends Coordinate> path, |
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33 List<? extends Coordinate> points |
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34 ) { |
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35 return relevantArea(path, points, CULL_POINT_THRESHOLD); |
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36 } |
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37 |
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38 public static final Envelope relevantArea( |
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39 Envelope pathBBox, |
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40 List<? extends Coordinate> points |
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41 ) { |
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42 return relevantArea(pathBBox, points, CULL_POINT_THRESHOLD); |
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43 } |
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44 |
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45 public static final Envelope relevantArea( |
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46 Envelope pathBBox, |
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47 List<? extends Coordinate> points, |
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48 int threshold |
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49 ) { |
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50 return points.size() < threshold |
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51 ? null |
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52 : relevantArea( |
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53 pathBBox, |
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54 pointsBoundingBox(points)); |
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55 } |
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56 |
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57 public static final Envelope relevantArea( |
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58 List<? extends Coordinate> path, |
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59 List<? extends Coordinate> points, |
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60 int threshold |
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61 ) { |
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62 return points.size() < threshold || path.isEmpty() |
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63 ? null |
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64 : relevantArea( |
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65 pointsBoundingBox(path), |
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66 pointsBoundingBox(points)); |
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67 } |
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68 |
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69 public static final Envelope relevantArea( |
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70 Envelope pathBBox, |
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71 Envelope pointsBBox |
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72 ) { |
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73 double pathArea = pathBBox.getWidth()*pathBBox.getHeight(); |
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74 double pointsArea = pointsBBox.getWidth()*pointsBBox.getHeight(); |
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75 |
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76 if (pathArea > 0.8d*pointsArea) { return null; } |
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77 |
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78 double nArea = 1.44d * pathArea; |
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79 if (nArea < 0.1d*pointsArea) nArea = 0.1d*pointsArea; |
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80 double w = pathBBox.getWidth(); |
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81 double h = pathBBox.getHeight(); |
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82 double [] d = solveQuadratic(1d, w+h, pathArea - nArea); |
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83 |
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84 if (d == null) { return null; } |
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85 |
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86 double extra = pos(d); |
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87 |
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88 pathBBox.expandBy(extra); |
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89 |
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90 return pathBBox; |
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91 } |
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92 |
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93 public static final double [] solveQuadratic( |
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94 double a, double b, double c |
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95 ) { |
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96 double d = b*b - 4d*a*c; |
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97 if (d < 0d) { return null; } |
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98 |
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99 d = Math.sqrt(d); |
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100 a = 1d/(2d*a); |
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101 b = -b; |
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102 |
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103 return new double [] { a*(b + d), a*(b - d) }; |
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104 } |
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105 |
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106 public static final double pos(double [] x) { |
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107 return x[0] >= 0 ? x[0] : x[1]; |
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108 } |
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109 |
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110 |
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111 public static Envelope pointsBoundingBox( |
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112 List<? extends Coordinate> path |
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113 ) { |
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114 int N = path.size(); |
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115 Envelope area = new Envelope(path.get(N-1)); |
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116 |
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117 for (int i = N-2; i >= 0; --i) { |
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118 area.expandToInclude(path.get(i)); |
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119 } |
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120 |
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121 return area; |
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122 } |
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123 |
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124 public static void interpolate( |
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125 List<? extends Coordinate> path, |
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126 List<? extends Point2d> points, |
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127 double from, |
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128 double to, |
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129 int steps, |
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130 Metrics metrics, |
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131 Consumer consumer |
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132 ) { |
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133 boolean debug = log.isDebugEnabled(); |
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134 |
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135 int N = path.size(); |
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136 int M = points.size(); |
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137 |
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138 if (debug) { |
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139 log.debug("Size of path: " + N); |
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140 log.debug("Size of points: " + M); |
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141 } |
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142 |
361
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143 if (M < 1 || N < 2) { // nothing to do |
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144 return; |
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145 } |
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146 |
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147 List<GridCell> cells = GridCell.pointsToGridCells( |
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148 points, relevantArea(path, points)); |
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149 |
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150 if (cells.isEmpty()) { |
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151 log.warn("no cells found"); |
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152 return; |
416
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153 } |
361
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154 |
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155 // put into spatial index to speed up finding neighbors. |
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156 STRtree spatialIndex = new STRtree(); |
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157 |
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158 for (GridCell cell: cells) { |
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159 spatialIndex.insert(cell.getEnvelope(), cell); |
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160 } |
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161 |
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162 LinearToMap linearToMap = new LinearToMap( |
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163 path, from, to, metrics); |
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164 |
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165 double dP = (to - from)/steps; |
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166 |
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167 Coordinate center = new Coordinate(); |
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168 Envelope queryBuffer = new Envelope(); |
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169 GridCell.CellFinder finder = new GridCell.CellFinder(); |
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170 |
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171 int missedInterpolations = 0; |
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172 int interpolations = 0; |
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173 |
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174 for (double p = from; p <= to; p += dP) { |
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175 if (!linearToMap.locate(p, center)) { |
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176 continue; |
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177 } |
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178 queryBuffer.init( |
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179 center.x - EPS, center.x + EPS, |
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180 center.y - EPS, center.y + EPS); |
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181 |
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182 finder.prepare(center); |
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183 spatialIndex.query(queryBuffer, finder); |
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184 |
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185 GridCell found = finder.found; |
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186 |
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187 if (found == null) { |
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188 consumer.interpolated(center, false); |
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189 ++missedInterpolations; |
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190 continue; |
361
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191 } |
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192 |
519
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193 Point2d n0 = found.p1; |
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194 Point2d n1 = found.p2; |
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195 Point2d n2 = found.p3; |
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196 Point2d n3 = found.p4; |
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197 |
519
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198 double z1 = interpolate( |
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199 n0.x, n0.z, |
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200 n1.x, n1.z, |
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201 center.x); |
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202 double z2 = interpolate( |
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203 n2.x, n2.z, |
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204 n3.x, n3.z, |
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205 center.x); |
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206 double y1 = interpolate( |
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207 n0.x, n0.y, |
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208 n1.x, n1.y, |
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209 center.x); |
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210 double y2 = interpolate( |
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211 n2.x, n2.y, |
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212 n3.x, n3.y, |
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213 center.x); |
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214 center.z = interpolate( |
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215 y1, z1, |
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216 y2, z2, |
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217 center.y); |
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218 consumer.interpolated(center, true); |
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219 ++interpolations; |
361
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220 } |
365
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Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
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221 |
434
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Implemented the raster interpolation for the 'Profilschnitt'.
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222 if (debug) { |
416
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223 log.debug("interpolations: " + |
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224 interpolations + " / " + missedInterpolations); |
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225 } |
361
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226 } |
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227 |
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228 public static final double interpolate( |
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229 double x1, double y1, |
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230 double x2, double y2, |
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231 double x |
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232 ) { |
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233 if (x2 == x1) { |
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234 return (y1 + y2)*0.5d; |
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235 } |
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236 double m = (y2-y1)/(x2-x1); |
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237 double b = y1 - m*x1; |
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238 return m*x + b; |
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239 } |
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240 } |
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241 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8: |