1 package org.opentrafficsim.core.geometry;
2
3 import java.awt.geom.Line2D;
4 import java.util.ArrayList;
5 import java.util.List;
6
7 import org.opentrafficsim.core.network.NetworkException;
8
9 import com.vividsolutions.jts.geom.Coordinate;
10 import com.vividsolutions.jts.geom.Geometry;
11 import com.vividsolutions.jts.linearref.LengthIndexedLine;
12 import com.vividsolutions.jts.operation.buffer.BufferParameters;
13
14
15
16
17
18
19
20
21
22
23
24 public final class OTSBufferingJTS
25 {
26
27 private static final int QUADRANTSEGMENTS = 16;
28
29
30
31
32 private OTSBufferingJTS()
33 {
34
35 }
36
37
38
39
40
41
42 private static double norm(final double angle)
43 {
44 double normalized = angle % (2 * Math.PI);
45 if (normalized < 0.0)
46 {
47 normalized += 2 * Math.PI;
48 }
49 return normalized;
50 }
51
52
53
54
55
56
57 private static double angle(final Coordinate c1, final Coordinate c2)
58 {
59 return norm(Math.atan2(c2.y - c1.y, c2.x - c1.x));
60 }
61
62
63
64
65
66
67
68
69
70
71
72 public static double distanceLineSegmentToPoint(final OTSPoint3D lineP1, final OTSPoint3D lineP2, final OTSPoint3D point)
73 {
74 return closestPointOnSegmentToPoint(lineP1, lineP2, point).distanceSI(point);
75 }
76
77
78
79
80
81
82
83
84
85
86
87
88 public static OTSPoint3D closestPointOnSegmentToPoint(final OTSPoint3D lineP1, final OTSPoint3D lineP2,
89 final OTSPoint3D point)
90 {
91 double dX = lineP2.x - lineP1.x;
92 double dY = lineP2.y - lineP1.y;
93 if ((0 == dX) && (0 == dY))
94 {
95 return lineP1;
96 }
97 final double u = ((point.x - lineP1.x) * dX + (point.y - lineP1.y) * dY) / (dX * dX + dY * dY);
98 if (u < 0)
99 {
100 return lineP1;
101 }
102 else if (u > 1)
103 {
104 return lineP2;
105 }
106 else
107 {
108 return new OTSPoint3D(lineP1.x + u * dX, lineP1.y + u * dY);
109 }
110 }
111
112
113
114
115
116
117
118 public static OTSLine3D offsetLine(final OTSLine3D referenceLine, final double offset)
119 {
120 try
121 {
122 double bufferOffset = Math.abs(offset);
123 final double precision = 0.00001;
124 if (bufferOffset < precision)
125 {
126 return referenceLine;
127 }
128 final double circlePrecision = 0.001;
129 List<OTSPoint3D> points = new ArrayList<>();
130
131 OTSPoint3D prevPoint = referenceLine.get(0);
132 Double prevAngle = null;
133 for (int index = 0; index < referenceLine.size() - 1; index++)
134 {
135 OTSPoint3D nextPoint = referenceLine.get(index + 1);
136 double angle = Math.atan2(nextPoint.y - prevPoint.y, nextPoint.x - prevPoint.x);
137 OTSPoint3D segmentFrom =
138 new OTSPoint3D(prevPoint.x - Math.sin(angle) * offset, prevPoint.y + Math.cos(angle) * offset);
139 OTSPoint3D segmentTo =
140 new OTSPoint3D(nextPoint.x - Math.sin(angle) * offset, nextPoint.y + Math.cos(angle) * offset);
141 if (index > 0)
142 {
143 double deltaAngle = angle - prevAngle;
144 if (Math.abs(deltaAngle) > Math.PI)
145 {
146 deltaAngle -= Math.signum(deltaAngle) * 2 * Math.PI;
147 }
148 if (deltaAngle * offset > 0)
149 {
150
151
152 OTSPoint3D pPoint = null;
153 for (int i = 0; i < points.size(); i++)
154 {
155 OTSPoint3D p = points.get(i);
156 if (Double.isNaN(p.z))
157 {
158 continue;
159 }
160 if (null != pPoint)
161 {
162 double pAngle = Math.atan2(p.y - pPoint.y, p.x - pPoint.x);
163 double totalAngle = angle - pAngle;
164 if (Math.abs(totalAngle) > Math.PI)
165 {
166 totalAngle += Math.signum(totalAngle) * 2 * Math.PI;
167 }
168 if (Math.abs(totalAngle) > 0.01)
169 {
170
171
172 OTSPoint3D intermediatePoint =
173 intersectionOfLineSegments(pPoint, p, segmentFrom, segmentTo);
174 if (null != intermediatePoint)
175 {
176
177 intermediatePoint =
178 new OTSPoint3D(intermediatePoint.x, intermediatePoint.y, Double.NaN);
179
180
181 points.add(intermediatePoint);
182 }
183 }
184 }
185 pPoint = p;
186 }
187 }
188 else
189 {
190
191
192
193 int numSegments = 1;
194 if (Math.abs(deltaAngle) > Math.PI / 2)
195 {
196 numSegments = 2;
197 }
198 for (; numSegments < 1000; numSegments *= 2)
199 {
200 double maxError = bufferOffset * (1 - Math.abs(Math.cos(deltaAngle / numSegments / 2)));
201 if (maxError < circlePrecision)
202 {
203 break;
204 }
205 }
206
207 for (int additionalPoint = 1; additionalPoint < numSegments; additionalPoint++)
208 {
209 double intermediateAngle =
210 (additionalPoint * angle + (numSegments - additionalPoint) * prevAngle) / numSegments;
211 if (prevAngle * angle < 0 && Math.abs(prevAngle) > Math.PI / 2 && Math.abs(angle) > Math.PI / 2)
212 {
213 intermediateAngle += Math.PI;
214 }
215 OTSPoint3D intermediatePoint =
216 new OTSPoint3D(prevPoint.x - Math.sin(intermediateAngle) * offset, prevPoint.y
217 + Math.cos(intermediateAngle) * offset);
218
219
220 points.add(intermediatePoint);
221 }
222 }
223 }
224 points.add(segmentFrom);
225 points.add(segmentTo);
226 prevPoint = nextPoint;
227 prevAngle = angle;
228 }
229
230
231 for (int index = 1; index < points.size() - 1; index++)
232 {
233 OTSPoint3D checkPoint = points.get(index);
234 prevPoint = null;
235 boolean tooClose = false;
236 boolean somewhereAtCorrectDistance = false;
237 for (int i = 0; i < referenceLine.size(); i++)
238 {
239 OTSPoint3D p = referenceLine.get(i);
240 if (null != prevPoint)
241 {
242 OTSPoint3D closestPoint = closestPointOnSegmentToPoint(prevPoint, p, checkPoint);
243 if (closestPoint != referenceLine.get(0) && closestPoint != referenceLine.get(referenceLine.size() - 1))
244 {
245 double distance = closestPoint.horizontalDistanceSI(checkPoint);
246 if (distance < bufferOffset - circlePrecision)
247 {
248
249 tooClose = true;
250 break;
251 }
252 else if (distance < bufferOffset + precision)
253 {
254 somewhereAtCorrectDistance = true;
255 }
256 }
257 }
258 prevPoint = p;
259 }
260 if (tooClose || !somewhereAtCorrectDistance)
261 {
262
263 points.remove(index);
264 index--;
265 }
266 }
267
268 for (int index = 0; index < points.size(); index++)
269 {
270 OTSPoint3D p = points.get(index);
271 if (Double.isNaN(p.z))
272 {
273 points.set(index, new OTSPoint3D(p.x, p.y, 0));
274 }
275 }
276 return OTSLine3D.createAndCleanOTSLine3D(points);
277 }
278 catch (OTSGeometryException exception)
279 {
280 System.err.println("Cannot happen");
281 exception.printStackTrace();
282 return null;
283 }
284 }
285
286
287
288
289
290
291
292
293
294 private static OTSPoint3D intersectionOfLineSegments(final OTSPoint3D line1P1, final OTSPoint3D line1P2,
295 final OTSPoint3D line2P1, final OTSPoint3D line2P2)
296 {
297 double denominator =
298 (line2P2.y - line2P1.y) * (line1P2.x - line1P1.x) - (line2P2.x - line2P1.x) * (line1P2.y - line1P1.y);
299 if (denominator == 0f)
300 {
301 return null;
302 }
303 double uA =
304 ((line2P2.x - line2P1.x) * (line1P1.y - line2P1.y) - (line2P2.y - line2P1.y) * (line1P1.x - line2P1.x))
305 / denominator;
306 if ((uA < 0f) || (uA > 1f))
307 {
308 return null;
309 }
310 double uB =
311 ((line1P2.x - line1P1.x) * (line1P1.y - line2P1.y) - (line1P2.y - line1P1.y) * (line1P1.x - line2P1.x))
312 / denominator;
313 if (uB < 0 || uB > 1)
314 {
315 return null;
316 }
317 return new OTSPoint3D(line1P1.x + uA * (line1P2.x - line1P1.x), line1P1.y + uA * (line1P2.y - line1P1.y), 0);
318 }
319
320
321
322
323
324
325
326
327 @SuppressWarnings("checkstyle:methodlength")
328 public static OTSLine3D offsetGeometryOLD(final OTSLine3D referenceLine, final double offset) throws OTSGeometryException
329 {
330 Coordinate[] referenceCoordinates = referenceLine.getCoordinates();
331
332 double bufferOffset = Math.abs(offset);
333 final double precision = 0.000001;
334 if (bufferOffset < precision)
335 {
336
337 return new OTSLine3D(referenceCoordinates);
338 }
339 Geometry geometryLine = referenceLine.getLineString();
340 Coordinate[] bufferCoordinates =
341 geometryLine.buffer(bufferOffset, QUADRANTSEGMENTS, BufferParameters.CAP_FLAT).getCoordinates();
342
343
344
345
346
347 Coordinate sC0 = referenceCoordinates[0];
348 Coordinate sC1 = referenceCoordinates[1];
349 Coordinate eCm1 = referenceCoordinates[referenceCoordinates.length - 1];
350 Coordinate eCm2 = referenceCoordinates[referenceCoordinates.length - 2];
351
352 double expectedStartAngle = norm(angle(sC0, sC1) + Math.signum(offset) * Math.PI / 2.0);
353 double expectedEndAngle = norm(angle(eCm2, eCm1) + Math.signum(offset) * Math.PI / 2.0);
354 Coordinate sExpected =
355 new Coordinate(sC0.x + bufferOffset * Math.cos(expectedStartAngle), sC0.y + bufferOffset
356 * Math.sin(expectedStartAngle));
357 Coordinate eExpected =
358 new Coordinate(eCm1.x + bufferOffset * Math.cos(expectedEndAngle), eCm1.y + bufferOffset
359 * Math.sin(expectedEndAngle));
360
361
362 double dS = Double.MAX_VALUE;
363 double dE = Double.MAX_VALUE;
364 int sIndex = -1;
365 int eIndex = -1;
366 for (int i = 0; i < bufferCoordinates.length; i++)
367 {
368 Coordinate c = bufferCoordinates[i];
369 double dsc = c.distance(sExpected);
370 double dec = c.distance(eExpected);
371 if (dsc < dS)
372 {
373 dS = dsc;
374 sIndex = i;
375 }
376 if (dec < dE)
377 {
378 dE = dec;
379 eIndex = i;
380 }
381 }
382
383 if (sIndex == -1)
384 {
385 throw new OTSGeometryException("offsetGeometry: startIndex not found for line " + referenceLine);
386 }
387 if (eIndex == -1)
388 {
389 throw new OTSGeometryException("offsetGeometry: endIndex not found for line " + referenceLine);
390 }
391 if (dS > 0.01)
392 {
393 System.err.println(referenceLine.toExcel() + "\n\n\n\n" + new OTSLine3D(bufferCoordinates).toExcel() + "\n\n\n\n"
394 + sExpected + "\n" + eExpected);
395 throw new OTSGeometryException("offsetGeometry: startDistance too big (" + dS + ") for line " + referenceLine);
396 }
397 if (dE > 0.01)
398 {
399 throw new OTSGeometryException("offsetGeometry: endDistance too big (" + dE + ") for line " + referenceLine);
400 }
401
402
403 boolean ok = true;
404 int i = sIndex;
405 Coordinate lastC = null;
406 List<OTSPoint3D> result = new ArrayList<>();
407 while (ok)
408 {
409 Coordinate c = bufferCoordinates[i];
410 if (lastC != null && close(c, lastC, sC0, eCm1))
411 {
412 ok = false;
413 break;
414 }
415 result.add(new OTSPoint3D(c));
416 if (i == eIndex)
417 {
418 return OTSLine3D.createAndCleanOTSLine3D(result);
419 }
420 i = (i == bufferCoordinates.length - 1) ? 0 : i + 1;
421 lastC = c;
422 }
423
424
425 ok = true;
426 i = sIndex;
427 lastC = null;
428 result = new ArrayList<>();
429 while (ok)
430 {
431 Coordinate c = bufferCoordinates[i];
432 if (lastC != null && close(c, lastC, sC0, eCm1))
433 {
434 ok = false;
435 break;
436 }
437 result.add(new OTSPoint3D(c));
438 if (i == eIndex)
439 {
440 return OTSLine3D.createAndCleanOTSLine3D(result);
441 }
442 i = (i == 0) ? bufferCoordinates.length - 1 : i - 1;
443 lastC = c;
444 }
445
446
447
448 throw new OTSGeometryException("offsetGeometry: could not find offset in either direction for line " + referenceLine);
449 }
450
451
452
453
454
455
456
457
458 private static boolean close(final Coordinate lineC1, final Coordinate lineC2, final Coordinate... check)
459 {
460 Line2D.Double line = new Line2D.Double(lineC1.x, lineC1.y, lineC2.x, lineC2.y);
461 for (Coordinate c : check)
462 {
463 if (line.ptSegDist(c.x, c.y) < 0.01)
464 {
465 return true;
466 }
467 }
468 return false;
469 }
470
471
472
473
474
475
476
477
478
479
480 public static OTSLine3D offsetLine(final OTSLine3D referenceLine, final double offsetAtStart, final double offsetAtEnd)
481 throws OTSGeometryException
482 {
483
484
485
486 OTSLine3D offsetLineAtStart = offsetLine(referenceLine, offsetAtStart);
487 if (offsetAtStart == offsetAtEnd)
488 {
489 return offsetLineAtStart;
490 }
491
492 OTSLine3D offsetLineAtEnd = offsetLine(referenceLine, offsetAtEnd);
493
494 Geometry startGeometry = offsetLineAtStart.getLineString();
495 Geometry endGeometry = offsetLineAtEnd.getLineString();
496 LengthIndexedLine first = new LengthIndexedLine(startGeometry);
497 double firstLength = startGeometry.getLength();
498 LengthIndexedLine second = new LengthIndexedLine(endGeometry);
499 double secondLength = endGeometry.getLength();
500 ArrayList<Coordinate> out = new ArrayList<Coordinate>();
501 Coordinate[] firstCoordinates = startGeometry.getCoordinates();
502 Coordinate[] secondCoordinates = endGeometry.getCoordinates();
503 int firstIndex = 0;
504 int secondIndex = 0;
505 Coordinate prevCoordinate = null;
506 final double tooClose = 0.05;
507 while (firstIndex < firstCoordinates.length && secondIndex < secondCoordinates.length)
508 {
509 double firstRatio =
510 firstIndex < firstCoordinates.length ? first.indexOf(firstCoordinates[firstIndex]) / firstLength
511 : Double.MAX_VALUE;
512 double secondRatio =
513 secondIndex < secondCoordinates.length ? second.indexOf(secondCoordinates[secondIndex]) / secondLength
514 : Double.MAX_VALUE;
515 double ratio;
516 if (firstRatio < secondRatio)
517 {
518 ratio = firstRatio;
519 firstIndex++;
520 }
521 else
522 {
523 ratio = secondRatio;
524 secondIndex++;
525 }
526 Coordinate firstCoordinate = first.extractPoint(ratio * firstLength);
527 Coordinate secondCoordinate = second.extractPoint(ratio * secondLength);
528 Coordinate resultCoordinate =
529 new Coordinate((1 - ratio) * firstCoordinate.x + ratio * secondCoordinate.x, (1 - ratio)
530 * firstCoordinate.y + ratio * secondCoordinate.y);
531 if (null == prevCoordinate || resultCoordinate.distance(prevCoordinate) > tooClose)
532 {
533 out.add(resultCoordinate);
534 prevCoordinate = resultCoordinate;
535 }
536 }
537 Coordinate[] resultCoordinates = new Coordinate[out.size()];
538 for (int index = 0; index < out.size(); index++)
539 {
540 resultCoordinates[index] = out.get(index);
541 }
542 return new OTSLine3D(resultCoordinates);
543 }
544
545
546
547
548
549
550 public static void main(final String[] args) throws NetworkException, OTSGeometryException
551 {
552
553
554
555
556
557 OTSLine3D line =
558 new OTSLine3D(new OTSPoint3D[] { new OTSPoint3D(-579.253, 60.157, 4.710),
559 new OTSPoint3D(-579.253, 60.144, 4.712), new OTSPoint3D(-579.253, 60.144, 0.000),
560 new OTSPoint3D(-579.251, 60.044, 0.000), new OTSPoint3D(-579.246, 59.944, 0.000),
561 new OTSPoint3D(-579.236, 59.845, 0.000), new OTSPoint3D(-579.223, 59.746, 0.000),
562 new OTSPoint3D(-579.206, 59.647, 0.000), new OTSPoint3D(-579.185, 59.549, 0.000),
563 new OTSPoint3D(-579.161, 59.452, 0.000), new OTSPoint3D(-579.133, 59.356, 0.000),
564 new OTSPoint3D(-579.101, 59.261, 0.000), new OTSPoint3D(-579.066, 59.168, 0.000),
565 new OTSPoint3D(-579.028, 59.075, 0.000), new OTSPoint3D(-578.986, 58.985, 0.000),
566 new OTSPoint3D(-578.940, 58.896, 0.000), new OTSPoint3D(-578.891, 58.809, 0.000),
567 new OTSPoint3D(-578.839, 58.723, 0.000), new OTSPoint3D(-578.784, 58.640, 0.000),
568 new OTSPoint3D(-578.725, 58.559, 0.000), new OTSPoint3D(-578.664, 58.480, 0.000),
569 new OTSPoint3D(-578.599, 58.403, 0.000), new OTSPoint3D(-578.532, 58.329, 0.000),
570 new OTSPoint3D(-578.462, 58.258, 0.000), new OTSPoint3D(-578.390, 58.189, 0.000),
571 new OTSPoint3D(-578.314, 58.123, 0.000), new OTSPoint3D(-578.237, 58.060, 0.000),
572 new OTSPoint3D(-578.157, 58.000, 0.000), new OTSPoint3D(-578.075, 57.943, 0.000),
573 new OTSPoint3D(-577.990, 57.889, 0.000), new OTSPoint3D(-577.904, 57.839, 0.000),
574 new OTSPoint3D(-577.816, 57.791, 0.000), new OTSPoint3D(-577.726, 57.747, 0.000),
575 new OTSPoint3D(-577.635, 57.707, 0.000), new OTSPoint3D(-577.542, 57.670, 0.000),
576 new OTSPoint3D(-577.448, 57.636, 0.000), new OTSPoint3D(-577.352, 57.606, 0.000),
577 new OTSPoint3D(-577.256, 57.580, 0.000), new OTSPoint3D(-577.159, 57.557, 0.000),
578 new OTSPoint3D(-577.060, 57.538, 0.000), new OTSPoint3D(-576.962, 57.523, 0.000),
579 new OTSPoint3D(-576.862, 57.512, 0.000), new OTSPoint3D(-576.763, 57.504, 0.000),
580 new OTSPoint3D(-576.663, 57.500, 0.000), new OTSPoint3D(-576.623, 57.500, 6.278),
581 new OTSPoint3D(-576.610, 57.500, 6.280), new OTSPoint3D(-567.499, 57.473, 6.280) });
582 System.out.println(line.toExcel());
583 System.out.println(OTSBufferingJTS.offsetGeometryOLD(line, -1.831));
584 }
585 }