Mercurial > dive4elements > river
annotate flys-artifacts/src/main/java/de/intevation/flys/artifacts/model/WstValueTable.java @ 459:fadf797bf123
Increment kms array size by one to take the end of range, too.
flys-artifacts/trunk@1962 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author | Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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date | Thu, 19 May 2011 14:51:53 +0000 |
parents | 523a256451cd |
children | 4e0ca3890696 |
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 |
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6 import de.intevation.flys.artifacts.math.LinearRemap; |
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8 import java.util.Arrays; |
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9 import java.util.ArrayList; |
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10 import java.util.List; |
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11 import java.util.Collections; |
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12 |
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13 import org.apache.log4j.Logger; |
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14 |
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15 import org.apache.commons.math.analysis.interpolation.SplineInterpolator; |
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16 |
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17 import org.apache.commons.math.analysis.polynomials.PolynomialSplineFunction; |
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18 |
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19 import org.apache.commons.math.ArgumentOutsideDomainException; |
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20 |
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21 public class WstValueTable |
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22 implements Serializable |
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23 { |
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24 private static Logger log = Logger.getLogger(WstValueTable.class); |
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25 |
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26 public static final int DEFAULT_Q_STEPS = 500; |
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27 |
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28 public static class Column |
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29 implements Serializable |
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30 { |
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31 protected String name; |
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32 |
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33 public Column() { |
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34 } |
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35 |
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36 public Column(String name) { |
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37 this.name = name; |
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38 } |
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39 |
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40 public String getName() { |
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41 return name; |
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42 } |
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43 |
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44 public void setName(String name) { |
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45 this.name = name; |
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46 } |
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47 } |
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48 // class Column |
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49 |
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50 public static class QPosition { |
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51 |
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52 protected double q; |
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53 protected int index; |
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54 protected double weight; |
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55 |
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56 public QPosition() { |
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57 } |
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58 |
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59 public QPosition(double q, int index, double weight) { |
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60 this.index = index; |
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61 this.weight = weight; |
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62 } |
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63 |
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64 } // class Position |
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65 |
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66 public static class Row |
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67 implements Serializable, Comparable<Row> |
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68 { |
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69 double km; |
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70 double [] ws; |
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71 double [] qs; |
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72 boolean qSorted; |
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73 |
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74 public Row() { |
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75 } |
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76 |
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77 public Row(double km) { |
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78 this.km = km; |
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79 } |
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80 |
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81 public Row(double km, double [] ws, double [] qs) { |
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82 this(km); |
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83 this.ws = ws; |
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84 this.qs = qs; |
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85 } |
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86 |
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87 public static final double linear( |
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88 double x, |
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89 double x1, double x2, |
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90 double y1, double y2 |
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91 ) { |
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92 // y1 = m*x1 + b |
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93 // y2 = m*x2 + b |
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94 // y2 - y1 = m*(x2 - x1) |
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95 // m = (y2 - y1)/(x2 - x1) # x2 != x1 |
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96 // b = y1 - m*x1 |
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97 |
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98 if (x1 == x2) { |
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99 return 0.5*(y1 + y2); |
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100 } |
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101 double m = (y2 - y1)/(x2 - x1); |
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102 double b = y1 - m*x1; |
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103 return x*m + b; |
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104 } |
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105 |
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106 public static final double factor(double x, double p1, double p2) { |
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107 // 0 = m*p1 + b <=> b = -m*p1 |
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108 // 1 = m*p2 + b |
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109 // 1 = m*(p2 - p1) |
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110 // m = 1/(p2 - p1) # p1 != p2 |
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111 // f(x) = x/(p2-p1) - p1/(p2-p1) <=> (x-p1)/(p2-p1) |
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112 |
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113 return p1 == p2 ? 0.0 : (x-p1)/(p2-p1); |
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114 } |
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115 |
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116 public static final double weight(double factor, double a, double b) { |
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117 return (1.0-factor)*a + factor*b; |
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118 } |
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119 |
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120 public void interpolateW( |
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121 Row other, |
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122 double km, |
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123 double [] input, |
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124 double [] output |
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125 ) { |
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126 double factor = factor(km, this.km, other.km); |
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127 |
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128 for (int i = 0; i < input.length; ++i) { |
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129 double q = input[i]; |
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130 int idx1 = getQIndex(q); |
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131 int idx2 = other.getQIndex(q); |
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132 |
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133 double w1 = idx1 >= 0 |
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134 ? ws[idx1] |
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135 : interpolateW(-idx1-1, q); |
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136 |
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137 double w2 = idx2 >= 0 |
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138 ? other.ws[idx2] |
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139 : other.interpolateW(-idx2-1, q); |
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140 |
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141 output[i] = weight(factor, w1, w2); |
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142 } |
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143 } |
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144 |
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145 public double interpolateW(int idx, double q) { |
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146 return idx < 1 || idx >= qs.length |
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147 ? Double.NaN // do not extrapolate |
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148 : linear(q, qs[idx-1], qs[idx], ws[idx-1], ws[idx]); |
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149 } |
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150 |
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151 public double interpolateW(double q) { |
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152 if (Double.isNaN(q)) return Double.NaN; |
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153 int index = getQIndex(q); |
360
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154 return index >= 0 ? ws[index] : interpolateW(-index -1, q); |
335
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155 } |
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156 |
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157 public int getQIndex(double q) { |
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158 return qSorted ? binaryQIndex(q) : linearQIndex(q); |
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159 } |
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160 |
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161 public int binaryQIndex(double q) { |
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162 return Arrays.binarySearch(qs, q); |
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163 } |
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164 |
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165 public int linearQIndex(double q) { |
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166 switch (qs.length) { |
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167 case 0: break; |
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168 case 1: |
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169 if (qs[0] == q) return 0; |
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170 if (qs[0] < q) return -(1+1); |
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171 return -(0+1); |
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172 default: |
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173 for (int i = 1; i < qs.length; ++i) { |
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174 double qa = qs[i-1]; |
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175 double qb = qs[i]; |
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176 if (qa == q) return i-1; |
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177 if (qb == q) return i; |
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178 if (qa > qb) { double t = qa; qa = qb; qb = t; } |
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179 if (q > qa && q < qb) return -(i+1); |
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180 } |
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181 return -qs.length; |
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182 } |
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183 |
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184 return -1; |
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185 } |
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186 |
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187 public int compareTo(Row other) { |
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188 double d = km - other.km; |
458
523a256451cd
Use unsharp km lookup (epsilon = 0.0001).
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189 if (d < -0.0001) return -1; |
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190 if (d > 0.0001) return +1; |
335
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191 return 0; |
326
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192 } |
339
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Implementation of "Abflusskurve/Abflusstafel" calculation.
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193 |
395
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194 public double [][] interpolateWQ(Row other, double km, int steps) { |
339
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195 |
395
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196 int W = Math.min(ws.length, other.ws.length); |
339
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197 |
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198 if (W < 1) { |
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199 return new double[2][0]; |
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200 } |
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201 |
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202 double factor = factor(km, this.km, other.km); |
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203 |
395
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204 double [] splineQ = new double[W]; |
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205 double [] splineW = new double[W]; |
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206 |
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207 double minQ = Double.MAX_VALUE; |
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208 double maxQ = -Double.MAX_VALUE; |
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209 |
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210 for (int i = 0; i < W; ++i) { |
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211 double wws = weight(factor, ws[i], other.ws[i]); |
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212 double wqs = weight(factor, qs[i], other.qs[i]); |
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213 splineW[i] = wws; |
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214 splineQ[i] = wqs; |
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215 if (wqs < minQ) minQ = wqs; |
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216 if (wqs > maxQ) maxQ = wqs; |
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217 } |
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218 |
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219 double stepWidth = (maxQ - minQ)/steps; |
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220 |
339
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221 SplineInterpolator interpolator = new SplineInterpolator(); |
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222 PolynomialSplineFunction spline = |
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223 interpolator.interpolate(splineQ, splineW); |
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224 |
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225 double [] outWs = new double[steps]; |
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226 double [] outQs = new double[steps]; |
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227 |
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228 try { |
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229 double q = minQ; |
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230 for (int i = 0; i < outWs.length; ++i, q += stepWidth) { |
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231 outWs[i] = spline.value(outQs[i] = q); |
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232 } |
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233 } |
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234 catch (ArgumentOutsideDomainException aode) { |
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235 log.error("Spline interpolation failed.", aode); |
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236 } |
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237 |
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238 return new double [][] { outWs, outQs }; |
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239 } |
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240 |
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241 public double [][] interpolateWQ(int steps) { |
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242 |
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243 int W = ws.length; |
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244 |
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245 if (W < 1) { |
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246 return new double[2][0]; |
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247 } |
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248 |
395
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249 double [] splineW = new double[W]; |
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250 double [] splineQ = new double[W]; |
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251 |
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252 double minQ = Double.MAX_VALUE; |
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253 double maxQ = -Double.MAX_VALUE; |
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254 |
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255 for (int i = 0; i < W; ++i) { |
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256 splineW[i] = ws[i]; |
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257 splineQ[i] = qs[i]; |
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258 if (qs[i] < minQ) minQ = qs[i]; |
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259 if (qs[i] > maxQ) maxQ = qs[i]; |
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260 } |
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261 |
395
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262 double stepWidth = (maxQ - minQ)/steps; |
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263 |
339
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264 SplineInterpolator interpolator = new SplineInterpolator(); |
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265 |
395
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266 PolynomialSplineFunction spline = |
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267 interpolator.interpolate(splineQ, splineW); |
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268 |
395
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269 double [] outWs = new double[steps]; |
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270 double [] outQs = new double[steps]; |
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271 |
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272 try { |
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273 double q = minQ; |
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274 for (int i = 0; i < outWs.length; ++i, q += stepWidth) { |
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275 outWs[i] = spline.value(outQs[i] = q); |
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276 } |
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277 } |
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278 catch (ArgumentOutsideDomainException aode) { |
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279 log.error("Spline interpolation failed.", aode); |
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280 } |
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281 |
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282 return new double [][] { outWs, outQs }; |
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283 } |
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284 |
426
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285 public QPosition getQPosition(double q) { |
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286 int qIndex = getQIndex(q); |
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287 |
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288 if (qIndex >= 0) { |
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289 // direct column match |
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290 return new QPosition(q, qIndex, 1.0); |
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291 } |
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292 |
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293 qIndex = -qIndex -1; |
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294 |
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295 if (qIndex < 0 || qIndex >= qs.length-1) { |
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296 // do not extrapolate |
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297 return null; |
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298 } |
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299 |
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300 return new QPosition( |
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301 q, qIndex, factor(q, qs[qIndex-1], qs[qIndex])); |
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302 } |
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303 |
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304 public QPosition getQPosition(Row other, double km, double q) { |
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305 |
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306 QPosition qpt = getQPosition(q); |
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307 QPosition qpo = other.getQPosition(q); |
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308 |
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309 if (qpt == null || qpo == null) { |
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310 return null; |
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311 } |
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312 |
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313 double kmWeight = factor(km, this.km, other.km); |
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314 |
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315 // XXX: Index interpolation is a bit sticky here! |
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316 |
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317 int index = (int)Math.round( |
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318 weight(kmWeight, qpt.index, qpo.index)); |
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319 |
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320 double weight = weight(kmWeight, qpt.weight, qpo.weight); |
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321 |
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322 return new QPosition(q, index, weight); |
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323 } |
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324 |
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325 public void storeWQ( |
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326 QPosition qPosition, |
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327 double [] ows, |
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328 double [] oqs, |
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329 int index |
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330 ) { |
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331 int qIdx = qPosition.index; |
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332 double qWeight = qPosition.weight; |
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333 |
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334 if (qWeight == 1.0) { |
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335 oqs[index] = qs[qIdx]; |
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336 ows[index] = ws[qIdx]; |
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337 } |
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338 else { |
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339 oqs[index] = weight(qWeight, qs[qIdx-1], qs[qIdx]); |
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340 ows[index] = weight(qWeight, ws[qIdx-1], ws[qIdx]); |
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341 } |
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342 } |
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343 |
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344 public void storeWQ( |
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345 Row other, |
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346 double km, |
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347 QPosition qPosition, |
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348 double [] ows, |
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349 double [] oqs, |
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350 int index |
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351 ) { |
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352 double kmWeight = factor(km, this.km, other.km); |
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353 |
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354 double tq, tw; |
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355 double oq, ow; |
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356 |
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357 int qIdx = qPosition.index; |
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358 double qWeight = qPosition.weight; |
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359 |
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360 if (qWeight == 1.0) { |
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361 tq = qs[qIdx]; |
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362 tw = ws[qIdx]; |
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363 oq = other.qs[qIdx]; |
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364 ow = other.ws[qIdx]; |
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365 } |
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366 else { |
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367 tq = weight(qWeight, qs[qIdx-1], qs[qIdx]); |
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368 tw = weight(qWeight, ws[qIdx-1], ws[qIdx]); |
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369 oq = weight(qWeight, other.qs[qIdx-1], other.qs[qIdx]); |
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370 ow = weight(qWeight, other.ws[qIdx-1], other.ws[qIdx]); |
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371 } |
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372 |
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373 oqs[index] = weight(kmWeight, oq, tq); |
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374 ows[index] = weight(kmWeight, ow, tw); |
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375 } |
427
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376 |
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377 public void storeWQ( |
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378 QPosition qPosition, |
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379 LinearRemap remap, |
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380 double [] ows, |
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381 double [] oqs, |
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382 int index |
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383 ) { |
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384 int qIdx = qPosition.index; |
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385 double qWeight = qPosition.weight; |
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386 |
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387 oqs[index] = remap.eval(km, qWeight == 1.0 |
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388 ? qs[qIdx] |
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389 : weight(qWeight, qs[qIdx-1], qs[qIdx])); |
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390 |
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391 ows[index] = interpolateW(oqs[index]); |
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392 } |
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393 |
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394 public void storeWQ( |
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395 Row other, |
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396 double km, |
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397 QPosition qPosition, |
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398 LinearRemap remap, |
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399 double [] ows, |
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400 double [] oqs, |
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401 int index |
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402 ) { |
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403 double kmWeight = factor(km, this.km, other.km); |
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404 |
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405 double tq, tw; |
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406 double oq, ow; |
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407 |
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408 int qIdx = qPosition.index; |
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409 double qWeight = qPosition.weight; |
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410 |
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411 if (qWeight == 1.0) { |
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412 tq = remap.eval(this.km, qs[qIdx]); |
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413 oq = remap.eval(other.km, other.qs[qIdx]); |
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414 } |
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415 else { |
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416 tq = remap.eval( |
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417 this.km, |
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418 weight(qWeight, qs[qIdx-1], qs[qIdx])); |
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419 oq = remap.eval( |
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420 other.km, |
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421 weight(qWeight, other.qs[qIdx-1], other.qs[qIdx])); |
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422 } |
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423 |
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424 tw = interpolateW(tq); |
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425 ow = other.interpolateW(oq); |
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426 |
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427 oqs[index] = weight(kmWeight, oq, tq); |
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428 ows[index] = weight(kmWeight, ow, tw); |
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429 } |
326
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430 } |
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431 // class Row |
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432 |
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433 protected List<Row> rows; |
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434 |
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435 protected Column [] columns; |
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436 |
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437 public WstValueTable() { |
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438 rows = new ArrayList<Row>(); |
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439 } |
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440 |
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441 public WstValueTable(Column [] columns) { |
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442 this(); |
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443 this.columns = columns; |
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444 } |
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445 |
458
523a256451cd
Use unsharp km lookup (epsilon = 0.0001).
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diff
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446 public void sortRows() { |
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447 Collections.sort(rows); |
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Use unsharp km lookup (epsilon = 0.0001).
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448 } |
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449 |
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450 |
335
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451 public double [] interpolateW(double km, double [] qs) { |
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452 return interpolateW(km, qs, new double[qs.length]); |
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453 } |
335
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454 |
380
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455 public double [] interpolateW(double km, double [] qs, double [] ws) { |
335
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456 |
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457 int rowIndex = Collections.binarySearch(rows, new Row(km)); |
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458 |
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459 if (rowIndex >= 0) { // direct row match |
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460 Row row = rows.get(rowIndex); |
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461 for (int i = 0; i < qs.length; ++i) { |
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462 ws[i] = row.interpolateW(qs[i]); |
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463 } |
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464 } |
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465 else { // needs bilinear interpolation |
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466 rowIndex = -rowIndex -1; |
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467 |
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468 if (rowIndex < 1 || rowIndex >= rows.size()) { |
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469 // do not extrapolate |
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470 Arrays.fill(ws, Double.NaN); |
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471 } |
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472 else { |
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473 rows.get(rowIndex-1).interpolateW( |
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474 rows.get(rowIndex), |
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changeset
|
475 km, qs, ws); |
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changeset
|
476 } |
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diff
changeset
|
477 } |
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Implemented the "Wasserstand/Wasserspiegellagen" calculation.
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diff
changeset
|
478 |
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479 return ws; |
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changeset
|
480 } |
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diff
changeset
|
481 |
339
4509ba8fae68
Implementation of "Abflusskurve/Abflusstafel" calculation.
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diff
changeset
|
482 |
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changeset
|
483 public double [][] interpolateWQ(double km) { |
395
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changeset
|
484 return interpolateWQ(km, DEFAULT_Q_STEPS); |
339
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diff
changeset
|
485 } |
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diff
changeset
|
486 |
395
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changeset
|
487 public double [][] interpolateWQ(double km, int steps) { |
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diff
changeset
|
488 |
339
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changeset
|
489 int rowIndex = Collections.binarySearch(rows, new Row(km)); |
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diff
changeset
|
490 |
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diff
changeset
|
491 if (rowIndex >= 0) { // direct row match |
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changeset
|
492 Row row = rows.get(rowIndex); |
395
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|
493 return row.interpolateWQ(steps); |
339
4509ba8fae68
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diff
changeset
|
494 } |
4509ba8fae68
Implementation of "Abflusskurve/Abflusstafel" calculation.
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diff
changeset
|
495 |
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Implementation of "Abflusskurve/Abflusstafel" calculation.
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diff
changeset
|
496 rowIndex = -rowIndex -1; |
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diff
changeset
|
497 |
4509ba8fae68
Implementation of "Abflusskurve/Abflusstafel" calculation.
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diff
changeset
|
498 if (rowIndex < 1 || rowIndex >= rows.size()) { |
4509ba8fae68
Implementation of "Abflusskurve/Abflusstafel" calculation.
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diff
changeset
|
499 // do not extrapolate |
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changeset
|
500 return new double[2][0]; |
4509ba8fae68
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diff
changeset
|
501 } |
4509ba8fae68
Implementation of "Abflusskurve/Abflusstafel" calculation.
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diff
changeset
|
502 |
4509ba8fae68
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diff
changeset
|
503 Row r1 = rows.get(rowIndex-1); |
4509ba8fae68
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diff
changeset
|
504 Row r2 = rows.get(rowIndex); |
4509ba8fae68
Implementation of "Abflusskurve/Abflusstafel" calculation.
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diff
changeset
|
505 |
395
aae8f327425e
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diff
changeset
|
506 return r1.interpolateWQ(r2, km, steps); |
339
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diff
changeset
|
507 } |
4509ba8fae68
Implementation of "Abflusskurve/Abflusstafel" calculation.
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diff
changeset
|
508 |
427
909196be11a0
First step to calculate "W fuer ungleichwertige Abfluesse" correctly. flys/issue55
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parents:
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diff
changeset
|
509 public void interpolate( |
909196be11a0
First step to calculate "W fuer ungleichwertige Abfluesse" correctly. flys/issue55
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parents:
426
diff
changeset
|
510 double [] kms, |
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511 double [] ws, |
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512 double [] qs, |
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513 QPosition qPosition, |
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514 LinearRemap remap |
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515 ) { |
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516 int R1 = rows.size()-1; |
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517 |
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518 Row kmKey = new Row(); |
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519 for (int i = 0; i < kms.length; ++i) { |
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520 kmKey.km = kms[i]; |
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521 int rowIndex = Collections.binarySearch(rows, kmKey); |
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522 |
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523 if (rowIndex >= 0) { |
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524 // direct row match |
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525 rows.get(rowIndex).storeWQ(qPosition, remap, ws, qs, i); |
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526 continue; |
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527 } |
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528 |
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529 rowIndex = -rowIndex -1; |
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530 |
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531 if (rowIndex < 1 || rowIndex >= R1) { |
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532 // do not extrapolate |
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533 ws[i] = qs[i] = Double.NaN; |
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534 continue; |
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535 } |
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536 Row r1 = rows.get(rowIndex-1); |
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537 Row r2 = rows.get(rowIndex); |
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538 r1.storeWQ(r2, kms[i], qPosition, remap, ws, qs, i); |
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539 } |
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540 } |
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541 |
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542 public QPosition interpolate( |
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543 double q, |
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544 int referenceIndex, |
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545 double [] kms, |
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546 double [] ws, |
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547 double [] qs |
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548 ) { |
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549 Row kmKey = new Row(kms[referenceIndex]); |
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550 |
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551 int rowIndex = Collections.binarySearch(rows, kmKey); |
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552 |
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553 int R1 = rows.size()-1; |
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554 |
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555 QPosition qPosition = null; |
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556 |
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557 if (rowIndex >= 0) { // direct row match |
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558 qPosition = rows.get(rowIndex).getQPosition(q); |
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559 } |
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560 else { |
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561 rowIndex = -rowIndex -1; |
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562 |
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563 if (rowIndex < 1 || rowIndex >= R1) { |
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564 // do not extrapolate |
427
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565 return null; |
426
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566 } |
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567 |
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568 // interpolation case |
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569 Row r1 = rows.get(rowIndex-1); |
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570 Row r2 = rows.get(rowIndex); |
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571 |
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572 qPosition = r1.getQPosition(r2, kms[referenceIndex], q); |
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573 } |
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574 |
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575 if (qPosition == null) { |
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|
576 // we cannot locate q in reference row |
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577 return null; |
426
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578 } |
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|
579 |
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580 for (int i = 0; i < kms.length; ++i) { |
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581 kmKey.km = kms[i]; |
458
523a256451cd
Use unsharp km lookup (epsilon = 0.0001).
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parents:
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diff
changeset
|
582 |
426
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|
583 rowIndex = Collections.binarySearch(rows, kmKey); |
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584 |
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|
585 if (rowIndex >= 0) { |
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diff
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|
586 // direct row match |
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587 rows.get(rowIndex).storeWQ(qPosition, ws, qs, i); |
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Fix step to fix issue69: Do the right calculation
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|
588 continue; |
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|
589 } |
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|
590 |
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|
591 rowIndex = -rowIndex -1; |
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changeset
|
592 |
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|
593 if (rowIndex < 1 || rowIndex >= R1) { |
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|
594 // do not extrapolate |
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|
595 ws[i] = qs[i] = Double.NaN; |
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|
596 continue; |
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|
597 } |
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|
598 Row r1 = rows.get(rowIndex-1); |
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|
599 Row r2 = rows.get(rowIndex); |
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|
600 r1.storeWQ(r2, kms[i], qPosition, ws, qs, i); |
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changeset
|
601 } |
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|
602 |
427
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changeset
|
603 return qPosition; |
426
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|
604 } |
326
07eba6d3b4a5
Fetches w/q value tables from the backend.
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parents:
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|
605 } |
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Fetches w/q value tables from the backend.
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changeset
|
606 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 : |