Mercurial > dive4elements > gnv-client
annotate gnv-artifacts/src/main/java/de/intevation/gnv/math/LinearToMap.java @ 808:2e951160c43d
Finished the javadoc of the math package.
gnv-artifacts/trunk@890 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author | Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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date | Thu, 08 Apr 2010 16:35:02 +0000 |
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1 package de.intevation.gnv.math; |
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2 |
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3 import com.vividsolutions.jts.geom.Coordinate; |
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4 |
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5 import java.util.Iterator; |
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6 import java.util.List; |
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7 import java.util.NoSuchElementException; |
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8 |
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9 /** |
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10 * Given a list of line segments instances of this class are able |
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11 * to span a metric system between a start and an end point |
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12 * represented as scalar values to 2D coordinate on the |
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13 * course of the segments. |
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14 * |
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15 * @author <a href="mailto:sascha.teichmann@intevation.de">Sascha L. Teichmann</a> |
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16 */ |
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17 public class LinearToMap |
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18 { |
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19 /** |
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20 * Represents a segment of the line string. |
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21 */ |
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22 public static final class Range { |
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23 private Range next; |
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24 |
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25 private double from; |
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26 private double to; |
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27 private double b; |
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28 |
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29 private Coordinate p1; |
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30 private Coordinate p2; |
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31 |
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32 private Interpolator interpolator; |
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33 |
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34 /** |
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35 * Default constructor. |
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36 */ |
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37 public Range() { |
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38 } |
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39 |
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40 /** |
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41 * Constructor to create a segment that maps |
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42 * a coordinate pair to two scalar values. |
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43 * Interpolations inside this segment are done with |
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44 * a given interpolator. |
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45 * @param from Start point of the segment. |
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46 * @param to End point of the segment. |
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47 * @param interpolator The interpolator. |
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48 * @param p1 The scalar value mapped to the start point. |
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49 * @param p2 The scalar value mappend to the end point. |
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50 */ |
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51 public Range( |
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52 double from, |
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53 double to, |
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54 Interpolator interpolator, |
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55 Coordinate p1, |
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56 Coordinate p2 |
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57 ) { |
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58 this.from = from; |
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59 this.to = to; |
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60 this.interpolator = interpolator; |
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61 this.p1 = p1; |
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62 this.p2 = p2; |
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63 |
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64 b = from == to |
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65 ? 0d |
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66 : 1.0d/(to - from); |
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67 } |
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68 |
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69 /** |
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70 * Interpolated a coordinate on the segment given a scalar value |
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71 * between the start and end point of the range. |
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72 * @param x The scalar value. |
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73 * @param v The interpolated value is stored here. |
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74 */ |
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75 public void eval(double x, Coordinate v) { |
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76 interpolator.interpolate((x - from)*b, v); |
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77 } |
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78 |
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79 /** |
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80 * Checks if a given value is inside this segment. |
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81 * @param x The value to test |
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82 * @return true if inside, else false. |
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83 */ |
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84 public boolean inside(double x) { |
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85 return x >= from && x <= to; |
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86 } |
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87 |
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88 /** |
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89 * Returns the start point of this segment. |
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90 * @return The start point. |
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91 */ |
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92 public Coordinate startPoint() { |
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93 return p1; |
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94 } |
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95 |
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96 /** |
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97 * Return the end point of this segment. |
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98 * @return The end point. |
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99 */ |
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100 public Coordinate endPoint() { |
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101 return p2; |
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102 } |
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103 } // class Range |
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104 |
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105 /** |
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106 * The head of the internal range list. |
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107 */ |
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108 protected Range head; |
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109 |
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110 /** |
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111 * The last accessed segment. Used to accelerate |
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112 * the access of the right segment. |
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113 */ |
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114 protected Range last; |
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115 |
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116 /** |
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117 * Default constructor. |
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118 */ |
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119 public LinearToMap() { |
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120 } |
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121 |
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122 /** |
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123 * Constructor to create a LinearToMap that maps |
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124 * given scalar values to coordinates of a given |
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125 * list of line segments. |
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126 * @param path The list of line segments. |
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127 * @param from The start value mapped to the start point |
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128 * of the first line segment. |
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129 * @param to The end value mapped to the end point of |
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130 * the last line segment. |
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131 * @param metrics The metric used to span the 2D space. |
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132 */ |
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133 public LinearToMap( |
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134 List<? extends Coordinate> path, |
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135 double from, |
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136 double to, |
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137 Metrics metrics |
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138 ) { |
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139 double diagramLength = Math.abs(to - from); |
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140 |
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141 double worldLength = length(path, metrics); |
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142 |
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143 double rangeStart = from; |
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144 |
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145 Range last = null; |
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146 |
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147 for (int i = 1, N = path.size(); i < N; ++i) { |
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148 Coordinate p1 = path.get(i-1); |
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149 Coordinate p2 = path.get(i); |
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150 double segmentLength = metrics.distance(p1, p2); |
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151 |
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152 double relativeLength = segmentLength / worldLength; |
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153 |
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154 double rangeLength = diagramLength * relativeLength; |
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155 |
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156 double rangeEnd = rangeStart + rangeLength; |
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157 |
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158 Range range = new Range( |
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159 rangeStart, rangeEnd, |
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160 metrics.getInterpolator(p1, p2), |
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161 p1, p2); |
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162 |
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163 if (last == null) { |
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164 last = head = range; |
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165 } |
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166 else { |
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167 last.next = range; |
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168 last = range; |
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169 } |
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170 rangeStart = rangeEnd; |
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171 } |
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172 } |
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173 |
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174 /** |
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175 * Returns a segment on which a given value is found. |
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176 * @param diagramX The value. |
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177 * @return The segment or null if no matching segment was found. |
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178 */ |
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179 protected Range locateRange(double diagramX) { |
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180 |
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181 if (last != null && last.inside(diagramX)) { |
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182 return last; |
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183 } |
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184 |
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185 Range current = head; |
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186 while (current != null) { |
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187 if (current.inside(diagramX)) { |
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188 return last = current; |
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189 } |
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190 current = current.next; |
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191 } |
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192 |
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193 return null; |
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194 } |
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195 |
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196 /** |
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197 * Interpolates a coordinate at a given scalar position. |
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198 * @param diagramX The scalar position. |
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199 * @param v The interpolated coordinate is stored here. |
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200 * @return true if the scalar position is inside the |
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201 * spanned range of the line string, else false. |
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202 */ |
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203 public boolean locate(double diagramX, Coordinate v) { |
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204 Range range = locateRange(diagramX); |
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205 if (range == null) { |
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206 return false; |
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207 } |
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208 range.eval(diagramX, v); |
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209 return true; |
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210 } |
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211 |
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212 /** |
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213 * Returns the length of a given line string using |
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214 * a given metric. |
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215 * @param path The line string. |
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216 * @param metrics The used metric. |
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217 * @return The length of the line string. |
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218 */ |
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219 public static double length( |
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220 List<? extends Coordinate> path, |
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221 Metrics metrics |
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222 ) { |
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223 double sum = 0d; |
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224 for (int i = path.size()-1; i >= 1; --i) { |
361
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225 Coordinate p1 = path.get(i); |
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226 Coordinate p2 = path.get(i-1); |
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227 sum += metrics.distance(p1, p2); |
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228 } |
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229 return sum; |
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230 } |
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231 |
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232 /** |
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233 * Return the number of segments in this map. |
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234 * @return the number of segments. |
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235 */ |
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236 public int numRanges() { |
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237 int count = 0; |
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238 Range current = head; |
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239 while (current != null) { |
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240 ++count; |
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241 current = current.next; |
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242 } |
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243 return count; |
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244 } |
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245 |
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246 /** |
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247 * Returns an iterator over all segments of this map. |
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248 * @return The iterator. |
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249 */ |
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250 public Iterator ranges() { |
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251 return new Iterator() { |
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252 |
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253 Range current = head; |
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254 |
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255 public boolean hasNext() { |
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256 return current != null; |
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257 } |
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258 |
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259 public Object next() { |
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260 if (!hasNext()) { |
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261 throw new NoSuchElementException(); |
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262 } |
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263 Range x = current; |
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264 current = current.next; |
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265 return x; |
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266 } |
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267 |
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268 public void remove() { |
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269 throw new UnsupportedOperationException(); |
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270 } |
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271 }; |
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272 } |
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273 } |
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274 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 : |