Mercurial > dive4elements > river

annotate artifacts/src/main/java/org/dive4elements/river/artifacts/model/QRangeTree.java @ 6152:0587819960c3

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Waterlevel differences & bed height differences: Add new model LinearInterpolated intented to unify the two very similiar calculations. The focus of the current implementation is correctness and not speed! The fact that the data sets more mostly sorted by station is not exploited. Doing so would improve performance significantly.
author Sascha L. Teichmann <teichmann@intevation.de>
date Sun, 02 Jun 2013 17:52:53 +0200
parents af13ceeba52a
children 07e31234d294
rev   line source
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1 /* Copyright (C) 2011, 2012, 2013 by Bundesanstalt für Gewässerkunde
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2 * Software engineering by Intevation GmbH
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3 *
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4 * This file is Free Software under the GNU AGPL (>=v3)
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5 * and comes with ABSOLUTELY NO WARRANTY! Check out the
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6 * documentation coming with Dive4Elements River for details.
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7 */
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8
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9 package org.dive4elements.river.artifacts.model;
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10
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11 import java.io.Serializable;
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12
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13 import java.util.List;
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14 import java.util.ArrayList;
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15
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16 import org.apache.log4j.Logger;
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17
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18 public class QRangeTree
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19 implements Serializable
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20 {
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21 private static Logger log = Logger.getLogger(QRangeTree.class);
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22
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23 public static final double EPSILON = 1e-4;
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24
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25 public static class Node
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26 implements Serializable
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27 {
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28 Node left;
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29 Node right;
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30 Node prev;
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31 Node next;
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32
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33 double a;
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34 double b;
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35 double q;
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36
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37 public Node() {
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38 }
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39
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40 public Node(double a, double b, double q) {
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41 this.a = a;
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42 this.b = b;
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43 this.q = q;
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44 }
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45
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46 protected final double interpolatePrev(double pos) {
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47 /*
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48 f(prev.b) = prev.q
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49 f(a) = q
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50
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51 prev.q = m*prev.b + n
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52 q = m*a + n <=> n = q - m*a
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53
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54 q - prev.q = m*(a - prev.b)
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55
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56 m = (q - prev.q)/(a - prev.b) # a != prev.b
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57 */
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58
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59 if (a == prev.b) {
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60 return 0.5*(q + prev.q);
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61 }
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62 double m = (q - prev.q)/(a - prev.b);
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63 double n = q - m*a;
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64 return m*pos + n;
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65 }
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66
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67 protected final double interpolateNext(double pos) {
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68 /*
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69 f(next.a) = next.q
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70 f(b) = q
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71
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72 next.q = m*next.a + n
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73 q = m*b + n <=> n = q - m*b
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74
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75 q - next.q = m*(b - next.a)
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76 m = (q - next.q)/(b - next.a) # b != next.a
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77 */
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78
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79 if (b == next.a) {
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80 return 0.5*(q + next.q);
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81 }
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82 double m = (q - next.q)/(b - next.a);
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83 double n = q - m*b;
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84 return m*pos + n;
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85 }
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86
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87 public double findQ(double pos) {
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88
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89 Node current = this;
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90 for (;;) {
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91 if (pos < current.a) {
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92 if (current.left != null) {
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93 current = current.left;
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94 continue;
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95 }
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96 return current.prev != null
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97 ? current.interpolatePrev(pos)
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98 : Double.NaN;
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99 }
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100 if (pos > current.b) {
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101 if (current.right != null) {
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102 current = current.right;
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103 continue;
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104 }
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105 return current.next != null
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106 ? current.interpolateNext(pos)
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107 : Double.NaN;
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108 }
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109 return current.q;
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110 }
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111 }
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113 public Node findNode(double pos) {
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114 Node current = this;
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115 while (current != null) {
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116 if (pos < current.a) {
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117 current = current.left;
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118 }
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119 else if (pos > current.b) {
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120 current = current.right;
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121 }
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122 return current;
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123 }
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124 return null;
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125 }
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126
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127 public boolean contains(double c) {
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128 return c >= a && c <= b;
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129 }
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130 } // class Node
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131
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132 /** Class to cache the last found tree leaf in a search for Q.
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133 * Its likely that a neighbored pos search
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134 * results in using the same leaf node. So
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135 * caching this leaf will minimize expensive
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136 * tree traversals.
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137 * Modeled as inner class because the QRangeTree
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138 * itself is a shared data structure.
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139 * Using this class omits interpolation between
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140 * leaves.
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141 */
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142 public final class QuickQFinder {
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143
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144 private Node last;
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145
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146 public QuickQFinder() {
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147 }
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148
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149 public double findQ(double pos) {
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150 if (last != null && last.contains(pos)) {
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151 return last.q;
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152 }
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153 last = QRangeTree.this.findNode(pos);
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154 return last != null ? last.q : Double.NaN;
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155 }
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156
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157 public double [] findQs(double [] kms, Calculation report) {
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158 return findQs(kms, new double[kms.length], report);
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159 }
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160
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161 public double [] findQs(
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162 double [] kms,
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163 double [] qs,
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164 Calculation report
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165 ) {
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166 for (int i = 0; i < kms.length; ++i) {
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167 if (Double.isNaN(qs[i] = findQ(kms[i]))) {
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168 report.addProblem(kms[i], "cannot.find.q");
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169 }
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170 }
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171 return qs;
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172 }
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173 } // class QuickQFinder
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174
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175 protected Node root;
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176
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177 public QRangeTree() {
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178 }
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179
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180 public static final class AccessQAB {
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181 private int startIndex;
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182
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183 public AccessQAB(int startIndex) {
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184 this.startIndex = startIndex;
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185 }
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186
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187 public Double getQ(Object [] row) {
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188 return (Double)row[startIndex];
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189 }
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190
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191 public Double getA(Object [] row) {
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192 return (Double)row[startIndex+1];
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193 }
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diff changeset
194
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diff changeset
195 public Double getB(Object [] row) {
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196 return (Double)row[startIndex+2];
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197 }
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198 }
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199
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diff changeset
200 public static final AccessQAB WITH_COLUMN = new AccessQAB(1);
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201 public static final AccessQAB WITHOUT_COLUMN = new AccessQAB(0);
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parents: 1890
diff changeset
202
632
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diff changeset
203 /** wstQRanges need to be sorted by range.a */
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diff changeset
204 public QRangeTree(List<Object []> qRanges, int start, int stop) {
2609
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diff changeset
205 this(qRanges, WITH_COLUMN, start, stop);
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206 }
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diff changeset
207
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diff changeset
208 public QRangeTree(
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diff changeset
209 List<Object []> qRanges,
3076
5642a83420f2 FLYS artifacts: Removed trailing whitespace.
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parents: 2792
diff changeset
210 AccessQAB accessQAB,
2609
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diff changeset
211 int start,
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parents: 1890
diff changeset
212 int stop
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parents: 1890
diff changeset
213 ) {
632
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parents: 625
diff changeset
214 if (stop <= start) {
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parents: 625
diff changeset
215 return;
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parents: 625
diff changeset
216 }
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diff changeset
217
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diff changeset
218 int N = stop-start;
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219
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220 List<Node> nodes = new ArrayList<Node>(N);
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221
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diff changeset
222 Node last = null;
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223
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parents: 2609
diff changeset
224 for (int i = 0; i < N; ++i) {
1890
9144e5a5027b (Picky) cosmetics.
Felix Wolfsteller <felix.wolfsteller@intevation.de>
parents: 1020
diff changeset
225 Object [] qRange = qRanges.get(start + i);
2609
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parents: 1890
diff changeset
226 Double q = accessQAB.getQ(qRange);
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parents: 1890
diff changeset
227 Double a = accessQAB.getA(qRange);
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parents: 1890
diff changeset
228 Double b = accessQAB.getB(qRange);
632
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parents: 625
diff changeset
229
2611
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parents: 2609
diff changeset
230 double av = a != null ? a.doubleValue() : -Double.MAX_VALUE;
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parents: 2609
diff changeset
231 double bv = b != null ? b.doubleValue() : Double.MAX_VALUE;
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parents: 2609
diff changeset
232 double qv = q.doubleValue();
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233
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diff changeset
234 // If nodes are directly neighbored and Qs are the same
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diff changeset
235 // join them.
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parents: 2609
diff changeset
236 if (last != null
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parents: 2609
diff changeset
237 && Math.abs(last.b - av) < EPSILON
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parents: 2609
diff changeset
238 && Math.abs(last.q - qv) < EPSILON) {
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parents: 2609
diff changeset
239 last.b = bv;
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240 }
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241 else {
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242 nodes.add(last = new Node(av, bv, qv));
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243 }
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244 }
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245
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246 if (log.isDebugEnabled()) {
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247 log.debug("Before/after nodes join: " +
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248 N + "/" + nodes.size());
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249 }
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250
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251 root = wireTree(nodes);
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252 }
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253
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254 protected static Node wireTree(List<Node> nodes) {
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255 int N = nodes.size();
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256 for (int i = 0; i < N; ++i) {
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257 Node node = nodes.get(i);
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258 if (i > 0 ) node.prev = nodes.get(i-1);
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259 if (i < N-1) node.next = nodes.get(i+1);
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260 }
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261
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262 return buildTree(nodes, 0, N-1);
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263 }
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264
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265 protected static Node buildTree(List<Node> nodes, int lo, int hi) {
632
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266
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267 if (lo > hi) {
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268 return null;
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269 }
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270
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271 int mid = (lo + hi) >> 1;
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272 Node parent = nodes.get(mid);
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273
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274 parent.left = buildTree(nodes, lo, mid-1);
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275 parent.right = buildTree(nodes, mid+1, hi);
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276
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277 return parent;
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278 }
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279
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280 public double averageQ() {
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281 double sum = 0d;
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282 int n = 0;
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283 for (Node node = head(); node != null; node = node.next) {
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284 sum += node.q;
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285 ++n;
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286 }
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287 return sum/n;
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288 }
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289
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290 public double maxQ() {
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291 double max = -Double.MAX_VALUE;
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292 for (Node node = head(); node != null; node = node.next) {
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293 if (node.q > max) {
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294 max = node.q;
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295 }
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296 }
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297 return max;
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298 }
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299
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300 public double findQ(double pos) {
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301 return root != null ? root.findQ(pos) : Double.NaN;
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302 }
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303
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304 public Node findNode(double pos) {
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305 return root != null ? root.findNode(pos) : null;
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306 }
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307
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308 protected Node head() {
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309 Node head = root;
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310 while (head.left != null) {
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311 head = head.left;
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312 }
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313 return head;
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314 }
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315
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316 public boolean intersectsQRange(double qMin, double qMax) {
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317 if (qMin > qMax) {
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318 double t = qMin;
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319 qMin = qMax;
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320 qMax = t;
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321 }
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322 for (Node curr = head(); curr != null; curr = curr.next) {
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diff changeset
323 if (curr.q >= qMin || curr.q <= qMax) {
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324 return true;
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325 }
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326 }
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diff changeset
327 return false;
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diff changeset
328 }
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diff changeset
329
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diff changeset
330 public List<Range> findSegments(double a, double b) {
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diff changeset
331 if (a > b) { double t = a; a = b; b = t; }
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diff changeset
332 return findSegments(new Range(a, b));
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diff changeset
333 }
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diff changeset
334
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diff changeset
335 public List<Range> findSegments(Range range) {
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336 List<Range> segments = new ArrayList<Range>();
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337
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diff changeset
338 // Linear scan should be good enough here.
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diff changeset
339 for (Node curr = head(); curr != null; curr = curr.next) {
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diff changeset
340 if (!range.disjoint(curr.a, curr.b)) {
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diff changeset
341 Range r = new Range(curr.a, curr.b);
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diff changeset
342 if (r.clip(range)) {
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diff changeset
343 segments.add(r);
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diff changeset
344 }
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diff changeset
345 }
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diff changeset
346 }
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347
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diff changeset
348 return segments;
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diff changeset
349 }
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diff changeset
350
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diff changeset
351 @Override
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352 public String toString() {
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diff changeset
353 StringBuilder sb = new StringBuilder();
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diff changeset
354 inorder(root, sb);
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diff changeset
355 return sb.toString();
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356 }
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357
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358 protected static void inorder(Node node, StringBuilder sb) {
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359 if (node != null) {
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360 inorder(node.left, sb);
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361 sb.append('[')
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362 .append(node.a)
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363 .append(", ")
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364 .append(node.b)
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365 .append(": ")
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366 .append(node.q)
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367 .append(']');
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368 inorder(node.right, sb);
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369 }
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370 }
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371
632
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372 private static final String name(Object o) {
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373 return String.valueOf(System.identityHashCode(o) & 0xffffffffL);
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374 }
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375
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376 public String toGraph() {
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377 StringBuilder sb = new StringBuilder();
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378 sb.append("subgraph c");
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379 sb.append(name(this));
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380 sb.append(" {\n");
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381 if (root != null) {
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382 java.util.Deque<Node> stack = new java.util.ArrayDeque<Node>();
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383 stack.push(root);
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384 while (!stack.isEmpty()) {
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385 Node current = stack.pop();
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386 String name = "n" + name(current);
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387 sb.append(name);
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388 sb.append(" [label=\"");
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389 sb.append(current.a).append(", ").append(current.b);
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390 sb.append(": ").append(current.q).append("\"]\n");
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391 if (current.left != null) {
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392 String leftName = name(current.left);
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393 sb.append(name).append(" -- n").append(leftName).append("\n");
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394 stack.push(current.left);
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395 }
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396 if (current.right != null) {
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397 String rightName = name(current.right);
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398 sb.append(name).append(" -- n").append(rightName).append("\n");
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399 stack.push(current.right);
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400 }
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401 }
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402 }
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403 sb.append("}\n");
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404 return sb.toString();
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405 }
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406 }
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407 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 :
http://dive4elements.wald.intevation.org