Mercurial > dive4elements > river

annotate flys-artifacts/src/main/java/de/intevation/flys/artifacts/model/QRangeTree.java @ 4797:43e69af28b3c

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A naive algorithm to figure out the "Umhuellende" of a set of WQKms.
author Sascha L. Teichmann <teichmann@intevation.de>
date Sun, 13 Jan 2013 14:18:04 +0100
parents 729a5edb0313
children bcf25d8c183e
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 } // class QuickQFinder
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149
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150 protected Node root;
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151
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152 public QRangeTree() {
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153 }
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154
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155 public static final class AccessQAB {
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156 private int startIndex;
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157
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158 public AccessQAB(int startIndex) {
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159 this.startIndex = startIndex;
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160 }
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161
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162 public Double getQ(Object [] row) {
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163 return (Double)row[startIndex];
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164 }
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165
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166 public Double getA(Object [] row) {
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167 return (Double)row[startIndex+1];
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168 }
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169
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170 public Double getB(Object [] row) {
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171 return (Double)row[startIndex+2];
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172 }
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173 }
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174
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175 public static final AccessQAB WITH_COLUMN = new AccessQAB(1);
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176 public static final AccessQAB WITHOUT_COLUMN = new AccessQAB(0);
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177
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178 /** wstQRanges need to be sorted by range.a */
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179 public QRangeTree(List<Object []> qRanges, int start, int stop) {
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180 this(qRanges, WITH_COLUMN, start, stop);
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181 }
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182
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183 public QRangeTree(
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184 List<Object []> qRanges,
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185 AccessQAB accessQAB,
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186 int start,
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187 int stop
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188 ) {
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189 if (stop <= start) {
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190 return;
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191 }
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192
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193 int N = stop-start;
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194
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195 List<Node> nodes = new ArrayList<Node>(N);
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196
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197 Node last = null;
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198
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199 for (int i = 0; i < N; ++i) {
1890
9144e5a5027b (Picky) cosmetics.
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200 Object [] qRange = qRanges.get(start + i);
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201 Double q = accessQAB.getQ(qRange);
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202 Double a = accessQAB.getA(qRange);
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203 Double b = accessQAB.getB(qRange);
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204
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205 double av = a != null ? a.doubleValue() : -Double.MAX_VALUE;
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206 double bv = b != null ? b.doubleValue() : Double.MAX_VALUE;
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207 double qv = q.doubleValue();
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208
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209 // If nodes are directly neighbored and Qs are the same
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210 // join them.
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211 if (last != null
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212 && Math.abs(last.b - av) < EPSILON
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213 && Math.abs(last.q - qv) < EPSILON) {
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214 last.b = bv;
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215 }
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216 else {
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diff changeset
217 nodes.add(last = new Node(av, bv, qv));
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218 }
632
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219 }
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220
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diff changeset
221 if (log.isDebugEnabled()) {
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diff changeset
222 log.debug("Before/after nodes join: " +
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diff changeset
223 N + "/" + nodes.size());
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224 }
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225
632
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diff changeset
226 root = wireTree(nodes);
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227 }
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228
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229 protected static Node wireTree(List<Node> nodes) {
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230 int N = nodes.size();
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231 for (int i = 0; i < N; ++i) {
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232 Node node = nodes.get(i);
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233 if (i > 0 ) node.prev = nodes.get(i-1);
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diff changeset
234 if (i < N-1) node.next = nodes.get(i+1);
625
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parents:
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235 }
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236
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237 return buildTree(nodes, 0, N-1);
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parents:
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238 }
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239
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240 protected static Node buildTree(List<Node> nodes, int lo, int hi) {
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241
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242 if (lo > hi) {
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243 return null;
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244 }
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245
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246 int mid = (lo + hi) >> 1;
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247 Node parent = nodes.get(mid);
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248
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249 parent.left = buildTree(nodes, lo, mid-1);
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250 parent.right = buildTree(nodes, mid+1, hi);
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251
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252 return parent;
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253 }
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254
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255 public double findQ(double pos) {
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256 return root != null ? root.findQ(pos) : Double.NaN;
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257 }
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258
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259 public Node findNode(double pos) {
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260 return root != null ? root.findNode(pos) : null;
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261 }
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262
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263 protected Node head() {
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264 Node head = root;
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265 while (head.left != null) {
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266 head = head.left;
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267 }
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268 return head;
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269 }
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270
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271 public boolean intersectsQRange(double qMin, double qMax) {
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272 if (qMin > qMax) {
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273 double t = qMin;
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274 qMin = qMax;
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275 qMax = t;
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276 }
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277 for (Node curr = head(); curr != null; curr = curr.next) {
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278 if (curr.q >= qMin || curr.q <= qMax) {
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279 return true;
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280 }
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281 }
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282 return false;
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283 }
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284
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285 public List<Range> findSegments(double a, double b) {
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286 if (a > b) { double t = a; a = b; b = t; }
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287 return findSegments(new Range(a, b));
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288 }
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289
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290 public List<Range> findSegments(Range range) {
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291 List<Range> segments = new ArrayList<Range>();
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292
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293 // Linear scan should be good enough here.
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294 for (Node curr = head(); curr != null; curr = curr.next) {
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295 if (!range.disjoint(curr.a, curr.b)) {
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296 Range r = new Range(curr.a, curr.b);
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297 if (r.clip(range)) {
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298 segments.add(r);
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299 }
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300 }
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301 }
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302
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303 return segments;
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304 }
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305
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306 @Override
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307 public String toString() {
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308 StringBuilder sb = new StringBuilder();
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309 inorder(root, sb);
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310 return sb.toString();
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311 }
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312
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313 protected static void inorder(Node node, StringBuilder sb) {
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314 if (node != null) {
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315 inorder(node.left, sb);
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316 sb.append('[')
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317 .append(node.a)
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318 .append(", ")
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319 .append(node.b)
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320 .append(": ")
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321 .append(node.q)
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322 .append(']');
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323 inorder(node.right, sb);
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324 }
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325 }
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326
632
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327 private static final String name(Object o) {
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328 return String.valueOf(System.identityHashCode(o) & 0xffffffffL);
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329 }
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330
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331 public String toGraph() {
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332 StringBuilder sb = new StringBuilder();
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333 sb.append("subgraph c");
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334 sb.append(name(this));
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335 sb.append(" {\n");
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336 if (root != null) {
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337 java.util.Deque<Node> stack = new java.util.ArrayDeque<Node>();
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338 stack.push(root);
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339 while (!stack.isEmpty()) {
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340 Node current = stack.pop();
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341 String name = "n" + name(current);
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342 sb.append(name);
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343 sb.append(" [label=\"");
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344 sb.append(current.a).append(", ").append(current.b);
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345 sb.append(": ").append(current.q).append("\"]\n");
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346 if (current.left != null) {
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347 String leftName = name(current.left);
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348 sb.append(name).append(" -- n").append(leftName).append("\n");
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349 stack.push(current.left);
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350 }
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351 if (current.right != null) {
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352 String rightName = name(current.right);
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353 sb.append(name).append(" -- n").append(rightName).append("\n");
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354 stack.push(current.right);
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355 }
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356 }
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
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357 }
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
358 sb.append("}\n");
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
diff changeset
359 return sb.toString();
07640ab913fd First part of storing qs in ranges
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 625
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360 }
625
c0c60a611fca Introduce model to store q values of WST columns efficiently.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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361 }
c0c60a611fca Introduce model to store q values of WST columns efficiently.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
362 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 :
http://dive4elements.wald.intevation.org