annotate gnv-artifacts/src/main/java/de/intevation/gnv/math/Point2d.java @ 1038:9981452c7e75

First step: Added a new state handling the selection between vector or scalar and a new transition in timeseries to provide vector values (issue27). gnv-artifacts/trunk@1110 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author Ingo Weinzierl <ingo.weinzierl@intevation.de>
date Tue, 18 May 2010 16:28:05 +0000
parents 6cff63d0c434
children f953c9a559d8
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 java.util.Comparator;
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7
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8 import org.apache.log4j.Logger;
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9
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10 /**
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11 * Point which besides the x, y, z coodinates has an index i, j pair
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12 * to model neighborhood.
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13 * @author <a href="mailto:sascha.teichmann@intevation.de">Sascha L. Teichmann</a>
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14 */
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15 public class Point2d
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16 extends Coordinate
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17 {
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18 private static Logger log = Logger.getLogger(Point2d.class);
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19
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20 /**
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21 * Numerical tolerance epsilon: {@value}
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22 */
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23 public static final double EPSILON = 1e-3d;
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24
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25 /**
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26 * Compares two Point2ds by their x coordinates
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27 */
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28 public static final Comparator X_COMPARATOR = new Comparator() {
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29 public int compare(Object a, Object b) {
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30 double xa = ((Coordinate)a).x;
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31 double xb = ((Coordinate)b).x;
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32 if (xa < xb) return -1;
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33 if (xa > xb) return +1;
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34 return 0;
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35 }
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36 };
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37
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38 /**
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39 * Compares two Point2ds by their y coordinates.
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40 */
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41 public static final Comparator Y_COMPARATOR = new Comparator() {
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42 public int compare(Object a, Object b) {
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43 double ya = ((Coordinate)a).y;
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44 double yb = ((Coordinate)b).y;
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45 if (ya < yb) return -1;
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46 if (ya > yb) return +1;
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47 return 0;
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48 }
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49 };
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50
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51 /**
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52 * The i index of this Point2d.
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53 */
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54 public int i;
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55 /**
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56 * The j index of this Point2d.
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57 */
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58 public int j;
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59
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60 /**
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61 * Default constructor.
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62 */
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63 public Point2d() {
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64 }
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65
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66 /**
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67 * Constructor setting x and y coordinate.
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68 * @param x The x coordinate.
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69 * @param y The y coordinate.
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70 */
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71 public Point2d(double x, double y) {
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72 super(x, y);
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73 }
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74
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75 /**
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76 * Constructor setting x, y and i, j.
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77 * @param x The x coordinate.
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78 * @param y The y coordinate.
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79 * @param i The i index.
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80 * @param j The j index.
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81 */
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82 public Point2d(double x, double y, int i, int j) {
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83 super(x, y);
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84 this.i = i;
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85 this.j = j;
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86 }
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87
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88 /**
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89 * Constructor setting x, y, z and i, j.
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90 * @param x The x coordinate.
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91 * @param y The y coordinate.
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92 * @param z The z coordinate.
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93 * @param i The i index.
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94 * @param j The j index.
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95 */
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96 public Point2d(double x, double y, double z, int i, int j) {
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97 super(x, y, z);
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98 this.i = i;
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99 this.j = j;
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100 }
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101
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102 /**
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103 * Calculates the L1 distance to another Point2d.
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104 * @param other The other Point2d.
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105 * @return The L1 distance.
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106 */
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107 public double L1(Point2d other) {
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108 return L1Comparator.L1(this, other);
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109 }
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110
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111 /**
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112 * Creates an envelope around this Point2d with
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113 * the numerical tolerance of {@link #EPSILON}.
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114 * @return The envelope.
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115 */
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116 public Envelope envelope() {
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117 return envelope(EPSILON);
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118 }
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119
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120 /**
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121 *Creates an envelope around this Point2d with
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122 * a given tolerance.
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123 * @param epsilon The tolerance in all directions.
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124 * @return The envelope.
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125 */
361
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126 public Envelope envelope(double epsilon) {
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127 return new Envelope(
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128 x-epsilon, x+epsilon,
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129 y-epsilon, y+epsilon);
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130 }
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131
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132 /**
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133 * Given this and another Point2d it looks if there is
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134 * a gap between the in points in i index direction.
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135 * @param other The other Point2d.
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136 * @return true if there is is a gap, else false.
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137 */
361
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138 public boolean hasIGap(Point2d other) {
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139 return Math.abs(i - other.i) > 1;
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140 }
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141
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142 /**
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143 * Given this and another Point2d it looks if there is
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144 * a gap between the in points in j index direction.
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145 * @param other The other Point2d.
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146 * @return true if there is is a gap, else false.
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147 */
361
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148 public boolean hasJGap(Point2d other) {
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149 return Math.abs(j - other.j) > 1;
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150 }
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151
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152 /**
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153 * Given this and another Point2d a new Point2d is
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154 * created via {@link #newPoint() }. The x, y coordinate
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155 * of the new point is on the line of this and the other
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156 * given point at a given scaling point.
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157 * @param t The scaling factor.
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158 * @param other The other point.
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159 * @return The new Point2d.
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160 */
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161 public Point2d extrapolate(double t, Point2d other) {
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162 if (other == null) {
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163 return null;
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164 }
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165 Point2d p = newPoint();
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166 p.x = t*(other.x - x) + x;
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167 p.y = t*(other.y - y) + y;
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168 return p;
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169 }
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170
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171 /**
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172 * Creates a new Point2d or an instance of a subclass.
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173 * Override this in subclasses.
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174 * @return The new Point2d.
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175 */
593
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176 public Point2d newPoint() {
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177 return new Point2d(0d, 0d);
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178 }
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179
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180 /**
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181 * Creates a new Point2d or an instance of a subclass
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182 * at a given coordinate.
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183 * Override this in subclasses.
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184 * @param x The x coordinate.
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185 * @param y The y coordinate.
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186 * @return The new point.
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187 */
593
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188 public Point2d newPoint(double x, double y) {
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189 return new Point2d(x, y);
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190 }
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191
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192 /**
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193 * Sets the z value to the inverse distance weighting (IDW) value
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194 * of the z values of a set of given points.
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195 * @param ps The points from wich the z values are taken
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196 * to calculate the IDW.
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197 */
593
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198 public void inverseDistanceWeighting(Point2d [] ps) {
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199
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200 double sum = 0d;
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201
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202 double [] d = new double[ps.length];
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203
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204 for (int i = 0; i < ps.length; ++i) {
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205 Point2d p = ps[i];
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206 if (p != null) {
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207 double di = distance(p);
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208 if (di < 1e-5d) { z = p.z; return; }
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209 di = 1d/di;
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210 d[i] = di;
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211 sum += di;
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212 }
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213 }
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214
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215 if (sum == 0d) {
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216 return;
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217 }
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218
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219 double v = 0d;
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220
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221 for (int i = 0; i < ps.length; ++i) {
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222 Point2d p = ps[i];
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223 if (p != null) {
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224 v += p.z*d[i];
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225 }
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226 }
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227 z = v/sum;
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228 }
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229
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230 /**
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231 * Creates a new point via {@link #newPoint() } with the
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232 * x,y coordinates of the center of a given set of
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233 * coordinates.
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234 * @param ps The points from which the x,y coordinates are
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235 * taken to calculate the center.
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236 * @return The new center point.
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237 */
593
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238 public static Point2d average(Point2d [] ps) {
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239
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240 Point2d p = null;
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241 int count = 0;
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242
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243 for (int i = 0; i < ps.length; ++i) {
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244 Point2d t = ps[i];
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245 if (t != null) {
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246 ++count;
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247 if (p == null) {
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248 p = t.newPoint(t.x, t.y);
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249 }
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250 else {
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251 p.x += t.x;
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252 p.y += t.y;
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253 }
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254 }
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255 }
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256
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257 if (p != null) {
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258 double s = 1d/count;
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259 p.x *= s;
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260 p.y *= s;
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261 }
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262
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263 return p;
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264 }
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265
798
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266 /**
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267 * Checks if this Point2d is near to at least one point
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268 * out of a given set of points. Near is defined by an
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269 * euclidian distance small than {@link #EPSILON}.
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270 * @param ps The set of points to be tested.
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271 * @return true if this Point2d is near to one of the given
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272 * points, else false.
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273 */
593
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274 public boolean near(Point2d [] ps) {
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275
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276 for (int i = 0; i < ps.length; ++i) {
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277 Point2d p = ps[i];
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278 if (p != null && distance(p) > EPSILON) {
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279 return false;
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280 }
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281 }
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282
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283 return true;
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284 }
361
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285 }
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286 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 :

http://dive4elements.wald.intevation.org