Mercurial > dive4elements > river

annotate flys-artifacts/src/main/java/de/intevation/flys/artifacts/model/QRangeTree.java @ 5257:46e984a3d576

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author Sascha L. Teichmann <teichmann@intevation.de>
date Mon, 11 Mar 2013 12:55:09 +0100
parents bcf25d8c183e
children 14db045d6368
rev   line source
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1 package de.intevation.flys.artifacts.model;
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2
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3 import java.io.Serializable;
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4
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5 import java.util.List;
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6 import java.util.ArrayList;
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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 public class QRangeTree
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11 implements Serializable
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12 {
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13 private static Logger log = Logger.getLogger(QRangeTree.class);
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14
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15 public static final double EPSILON = 1e-4;
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16
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17 public static class Node
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18 implements Serializable
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19 {
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20 Node left;
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21 Node right;
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22 Node prev;
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23 Node next;
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24
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25 double a;
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26 double b;
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27 double q;
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28
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29 public Node() {
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30 }
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31
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32 public Node(double a, double b, double q) {
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33 this.a = a;
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34 this.b = b;
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35 this.q = q;
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36 }
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37
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38 protected final double interpolatePrev(double pos) {
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39 /*
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40 f(prev.b) = prev.q
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41 f(a) = q
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42
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43 prev.q = m*prev.b + n
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44 q = m*a + n <=> n = q - m*a
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45
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46 q - prev.q = m*(a - prev.b)
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47
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48 m = (q - prev.q)/(a - prev.b) # a != prev.b
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49 */
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50
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51 if (a == prev.b) {
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52 return 0.5*(q + prev.q);
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53 }
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54 double m = (q - prev.q)/(a - prev.b);
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55 double n = q - m*a;
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56 return m*pos + n;
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57 }
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58
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59 protected final double interpolateNext(double pos) {
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60 /*
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61 f(next.a) = next.q
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62 f(b) = q
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63
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64 next.q = m*next.a + n
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65 q = m*b + n <=> n = q - m*b
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66
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67 q - next.q = m*(b - next.a)
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68 m = (q - next.q)/(b - next.a) # b != next.a
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69 */
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70
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71 if (b == next.a) {
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72 return 0.5*(q + next.q);
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73 }
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74 double m = (q - next.q)/(b - next.a);
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75 double n = q - m*b;
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76 return m*pos + n;
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77 }
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78
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79 public double findQ(double pos) {
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80
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81 Node current = this;
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82 for (;;) {
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83 if (pos < current.a) {
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84 if (current.left != null) {
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85 current = current.left;
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86 continue;
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87 }
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88 return current.prev != null
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89 ? current.interpolatePrev(pos)
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90 : Double.NaN;
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91 }
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92 if (pos > current.b) {
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93 if (current.right != null) {
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94 current = current.right;
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95 continue;
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96 }
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97 return current.next != null
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98 ? current.interpolateNext(pos)
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99 : Double.NaN;
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100 }
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101 return current.q;
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102 }
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103 }
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105 public Node findNode(double pos) {
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106 Node current = this;
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107 while (current != null) {
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108 if (pos < current.a) {
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109 current = current.left;
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110 }
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111 else if (pos > current.b) {
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112 current = current.right;
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113 }
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114 return current;
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115 }
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116 return null;
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117 }
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118
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119 public boolean contains(double c) {
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120 return c >= a && c <= b;
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121 }
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122 } // class Node
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123
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124 /** Class to cache the last found tree leaf in a search for Q.
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125 * Its likely that a neighbored pos search
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126 * results in using the same leaf node. So
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127 * caching this leaf will minimize expensive
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128 * tree traversals.
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129 * Modeled as inner class because the QRangeTree
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130 * itself is a shared data structure.
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131 * Using this class omits interpolation between
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132 * leaves.
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133 */
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134 public final class QuickQFinder {
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135
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136 private Node last;
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137
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138 public QuickQFinder() {
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139 }
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140
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141 public double findQ(double pos) {
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142 if (last != null && last.contains(pos)) {
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143 return last.q;
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144 }
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145 last = QRangeTree.this.findNode(pos);
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146 return last != null ? last.q : Double.NaN;
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147 }
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148
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149 public double [] findQs(double [] kms, Calculation report) {
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150 return findQs(kms, new double[kms.length], report);
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151 }
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152
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153 public double [] findQs(
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154 double [] kms,
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155 double [] qs,
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156 Calculation report
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157 ) {
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158 for (int i = 0; i < kms.length; ++i) {
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159 if (Double.isNaN(qs[i] = findQ(kms[i]))) {
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160 report.addProblem(kms[i], "cannot.find.q");
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161 }
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162 }
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163 return qs;
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164 }
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165 } // class QuickQFinder
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166
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167 protected Node root;
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168
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169 public QRangeTree() {
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170 }
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171
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172 public static final class AccessQAB {
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173 private int startIndex;
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174
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175 public AccessQAB(int startIndex) {
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176 this.startIndex = startIndex;
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177 }
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178
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179 public Double getQ(Object [] row) {
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180 return (Double)row[startIndex];
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181 }
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182
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183 public Double getA(Object [] row) {
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184 return (Double)row[startIndex+1];
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185 }
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186
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187 public Double getB(Object [] row) {
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188 return (Double)row[startIndex+2];
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189 }
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190 }
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191
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192 public static final AccessQAB WITH_COLUMN = new AccessQAB(1);
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193 public static final AccessQAB WITHOUT_COLUMN = new AccessQAB(0);
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194
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195 /** wstQRanges need to be sorted by range.a */
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196 public QRangeTree(List<Object []> qRanges, int start, int stop) {
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197 this(qRanges, WITH_COLUMN, start, stop);
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198 }
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199
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200 public QRangeTree(
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201 List<Object []> qRanges,
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202 AccessQAB accessQAB,
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203 int start,
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204 int stop
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205 ) {
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206 if (stop <= start) {
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diff changeset
207 return;
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208 }
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209
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210 int N = stop-start;
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211
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212 List<Node> nodes = new ArrayList<Node>(N);
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213
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214 Node last = null;
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215
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diff changeset
216 for (int i = 0; i < N; ++i) {
1890
9144e5a5027b (Picky) cosmetics.
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parents: 1020
diff changeset
217 Object [] qRange = qRanges.get(start + i);
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diff changeset
218 Double q = accessQAB.getQ(qRange);
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diff changeset
219 Double a = accessQAB.getA(qRange);
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parents: 1890
diff changeset
220 Double b = accessQAB.getB(qRange);
632
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diff changeset
221
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diff changeset
222 double av = a != null ? a.doubleValue() : -Double.MAX_VALUE;
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diff changeset
223 double bv = b != null ? b.doubleValue() : Double.MAX_VALUE;
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224 double qv = q.doubleValue();
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225
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226 // If nodes are directly neighbored and Qs are the same
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227 // join them.
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228 if (last != null
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229 && Math.abs(last.b - av) < EPSILON
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230 && Math.abs(last.q - qv) < EPSILON) {
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231 last.b = bv;
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232 }
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diff changeset
233 else {
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diff changeset
234 nodes.add(last = new Node(av, bv, qv));
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diff changeset
235 }
632
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parents: 625
diff changeset
236 }
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diff changeset
237
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parents: 2611
diff changeset
238 if (log.isDebugEnabled()) {
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239 log.debug("Before/after nodes join: " +
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240 N + "/" + nodes.size());
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241 }
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242
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243 root = wireTree(nodes);
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244 }
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245
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246 protected static Node wireTree(List<Node> nodes) {
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247 int N = nodes.size();
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248 for (int i = 0; i < N; ++i) {
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249 Node node = nodes.get(i);
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250 if (i > 0 ) node.prev = nodes.get(i-1);
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251 if (i < N-1) node.next = nodes.get(i+1);
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252 }
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253
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254 return buildTree(nodes, 0, N-1);
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255 }
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256
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257 protected static Node buildTree(List<Node> nodes, int lo, int hi) {
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258
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259 if (lo > hi) {
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260 return null;
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261 }
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262
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263 int mid = (lo + hi) >> 1;
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264 Node parent = nodes.get(mid);
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265
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266 parent.left = buildTree(nodes, lo, mid-1);
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267 parent.right = buildTree(nodes, mid+1, hi);
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268
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269 return parent;
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270 }
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271
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272 public double findQ(double pos) {
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273 return root != null ? root.findQ(pos) : Double.NaN;
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274 }
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275
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276 public Node findNode(double pos) {
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277 return root != null ? root.findNode(pos) : null;
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278 }
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279
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280 protected Node head() {
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281 Node head = root;
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282 while (head.left != null) {
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283 head = head.left;
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284 }
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285 return head;
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286 }
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287
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288 public boolean intersectsQRange(double qMin, double qMax) {
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289 if (qMin > qMax) {
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290 double t = qMin;
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291 qMin = qMax;
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292 qMax = t;
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293 }
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294 for (Node curr = head(); curr != null; curr = curr.next) {
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295 if (curr.q >= qMin || curr.q <= qMax) {
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296 return true;
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297 }
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298 }
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299 return false;
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300 }
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301
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302 public List<Range> findSegments(double a, double b) {
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303 if (a > b) { double t = a; a = b; b = t; }
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304 return findSegments(new Range(a, b));
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305 }
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306
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307 public List<Range> findSegments(Range range) {
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308 List<Range> segments = new ArrayList<Range>();
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309
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310 // Linear scan should be good enough here.
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311 for (Node curr = head(); curr != null; curr = curr.next) {
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312 if (!range.disjoint(curr.a, curr.b)) {
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313 Range r = new Range(curr.a, curr.b);
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314 if (r.clip(range)) {
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315 segments.add(r);
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316 }
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317 }
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318 }
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319
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320 return segments;
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321 }
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322
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323 @Override
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324 public String toString() {
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325 StringBuilder sb = new StringBuilder();
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326 inorder(root, sb);
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327 return sb.toString();
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328 }
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329
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330 protected static void inorder(Node node, StringBuilder sb) {
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331 if (node != null) {
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332 inorder(node.left, sb);
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333 sb.append('[')
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334 .append(node.a)
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335 .append(", ")
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336 .append(node.b)
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337 .append(": ")
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338 .append(node.q)
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339 .append(']');
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340 inorder(node.right, sb);
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341 }
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342 }
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343
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344 private static final String name(Object o) {
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345 return String.valueOf(System.identityHashCode(o) & 0xffffffffL);
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346 }
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347
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348 public String toGraph() {
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349 StringBuilder sb = new StringBuilder();
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350 sb.append("subgraph c");
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351 sb.append(name(this));
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352 sb.append(" {\n");
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353 if (root != null) {
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a776afdf1ec5 Cosmetic: Replaced usage of legacy java.util.Stack with java.util.Deque.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 633
diff changeset
354 java.util.Deque<Node> stack = new java.util.ArrayDeque<Node>();
632
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
355 stack.push(root);
1020
a776afdf1ec5 Cosmetic: Replaced usage of legacy java.util.Stack with java.util.Deque.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 633
diff changeset
356 while (!stack.isEmpty()) {
632
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
357 Node current = stack.pop();
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
358 String name = "n" + name(current);
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
359 sb.append(name);
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
360 sb.append(" [label=\"");
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
361 sb.append(current.a).append(", ").append(current.b);
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
362 sb.append(": ").append(current.q).append("\"]\n");
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
363 if (current.left != null) {
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
364 String leftName = name(current.left);
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
365 sb.append(name).append(" -- n").append(leftName).append("\n");
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
366 stack.push(current.left);
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
367 }
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
368 if (current.right != null) {
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
369 String rightName = name(current.right);
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
370 sb.append(name).append(" -- n").append(rightName).append("\n");
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
371 stack.push(current.right);
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
372 }
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
373 }
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
374 }
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
375 sb.append("}\n");
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
376 return sb.toString();
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
377 }
625
c0c60a611fca Introduce model to store q values of WST columns efficiently.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
378 }
c0c60a611fca Introduce model to store q values of WST columns efficiently.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
379 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 :
http://dive4elements.wald.intevation.org