/src/geos/src/geom/LineSegment.cpp
Line | Count | Source |
1 | | /********************************************************************** |
2 | | * |
3 | | * GEOS - Geometry Engine Open Source |
4 | | * http://geos.osgeo.org |
5 | | * |
6 | | * Copyright (C) 2009 2011 Sandro Santilli <strk@kbt.io> |
7 | | * Copyright (C) 2005-2006 Refractions Research Inc. |
8 | | * Copyright (C) 2001-2002 Vivid Solutions Inc. |
9 | | * |
10 | | * This is free software; you can redistribute and/or modify it under |
11 | | * the terms of the GNU Lesser General Public Licence as published |
12 | | * by the Free Software Foundation. |
13 | | * See the COPYING file for more information. |
14 | | * |
15 | | ********************************************************************** |
16 | | * |
17 | | * Last port: geom/LineSegment.java r18 (JTS-1.11) |
18 | | * |
19 | | **********************************************************************/ |
20 | | |
21 | | #include <geos/constants.h> |
22 | | #include <geos/geom/LineSegment.h> |
23 | | #include <geos/geom/LineString.h> // for toGeometry |
24 | | #include <geos/geom/CoordinateSequence.h> |
25 | | #include <geos/geom/GeometryFactory.h> |
26 | | #include <geos/algorithm/LineIntersector.h> |
27 | | #include <geos/algorithm/Intersection.h> |
28 | | #include <geos/util/IllegalStateException.h> |
29 | | #include <geos/profiler.h> |
30 | | #include <geos/util.h> |
31 | | |
32 | | #include <algorithm> // for max |
33 | | #include <sstream> |
34 | | #include <cmath> |
35 | | |
36 | | |
37 | | namespace geos { |
38 | | namespace geom { // geos::geom |
39 | | |
40 | | |
41 | | /*public*/ |
42 | | void |
43 | | LineSegment::reverse() |
44 | 0 | { |
45 | 0 | std::swap(p0, p1); |
46 | 0 | } |
47 | | |
48 | | double |
49 | | LineSegment::projectionFactor(const CoordinateXY& p) const |
50 | 0 | { |
51 | 0 | return projectionFactor(p0, p1, p); |
52 | 0 | } |
53 | | |
54 | | /*public*/ |
55 | | double |
56 | | LineSegment::projectionFactor(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& q) |
57 | 0 | { |
58 | 0 | if(q == p0) { |
59 | 0 | return 0.0; |
60 | 0 | } |
61 | 0 | if(q == p1) { |
62 | 0 | return 1.0; |
63 | 0 | } |
64 | 0 | if(p0 == p1) { |
65 | 0 | return 0.0; |
66 | 0 | } |
67 | | // Otherwise, use comp.graphics.algorithms Frequently Asked Questions method |
68 | | /*(1) AC dot AB |
69 | | r = --------- |
70 | | ||AB||^2 |
71 | | r has the following meaning: |
72 | | r=0 P = A |
73 | | r=1 P = B |
74 | | r<0 P is on the backward extension of AB |
75 | | r>1 P is on the forward extension of AB |
76 | | 0<r<1 P is interior to AB |
77 | | */ |
78 | 0 | double dx = p1.x - p0.x; |
79 | 0 | double dy = p1.y - p0.y; |
80 | 0 | double len2 = dx * dx + dy * dy; |
81 | 0 | double r = ((q.x - p0.x) * dx + (q.y - p0.y) * dy) / len2; |
82 | 0 | return r; |
83 | 0 | } |
84 | | |
85 | | /*public*/ |
86 | | double |
87 | | LineSegment::segmentFraction(const CoordinateXY& inputPt) const |
88 | 0 | { |
89 | 0 | double segFrac = projectionFactor(inputPt); |
90 | 0 | if(segFrac < 0.0) { |
91 | 0 | segFrac = 0.0; |
92 | 0 | } |
93 | 0 | else if(segFrac > 1.0) { |
94 | 0 | segFrac = 1.0; |
95 | 0 | } |
96 | 0 | return segFrac; |
97 | 0 | } |
98 | | |
99 | | /*public*/ |
100 | | void |
101 | | LineSegment::project(const Coordinate& p, Coordinate& ret) const |
102 | 0 | { |
103 | 0 | if(p == p0 || p == p1) { |
104 | 0 | ret = p; |
105 | 0 | return; |
106 | 0 | } |
107 | 0 | double r = projectionFactor(p); |
108 | 0 | ret = Coordinate(p0.x + r * (p1.x - p0.x), p0.y + r * (p1.y - p0.y)); |
109 | 0 | } |
110 | | |
111 | | CoordinateXY |
112 | | LineSegment::project(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& q) |
113 | 0 | { |
114 | 0 | if(q == p0 || q == p1) { |
115 | 0 | return q; |
116 | 0 | } |
117 | 0 | double r = projectionFactor(p0, p1, q); |
118 | 0 | double x = p0.x + r * (p1.x - p0.x); |
119 | 0 | double y = p0.y + r * (p1.y - p0.y); |
120 | 0 | return CoordinateXY(x, y); |
121 | 0 | } |
122 | | |
123 | | CoordinateXY |
124 | | LineSegment::project(const CoordinateXY& p) const |
125 | 0 | { |
126 | 0 | return project(p0, p1, p); |
127 | 0 | } |
128 | | |
129 | | /*private*/ |
130 | | CoordinateXY |
131 | | LineSegment::project(const CoordinateXY& p0, const CoordinateXY& p1, double factor) |
132 | 0 | { |
133 | 0 | if(factor == 1.0) { |
134 | 0 | return p1; |
135 | 0 | } |
136 | | |
137 | 0 | return CoordinateXY(p0.x + factor * (p1.x - p0.x), p0.y + factor * (p1.y - p0.y)); |
138 | 0 | } |
139 | | |
140 | | void |
141 | | LineSegment::project(double factor, CoordinateXY& ret) const |
142 | 0 | { |
143 | 0 | ret = project(p0, p1, factor); |
144 | 0 | } |
145 | | |
146 | | bool |
147 | | LineSegment::project(const LineSegment& seg, LineSegment& ret) const |
148 | 0 | { |
149 | 0 | double pf0 = projectionFactor(seg.p0); |
150 | 0 | double pf1 = projectionFactor(seg.p1); |
151 | | // check if segment projects at all |
152 | |
|
153 | 0 | if(pf0 >= 1.0 && pf1 >= 1.0) { |
154 | 0 | return false; |
155 | 0 | } |
156 | | |
157 | 0 | if(pf0 <= 0.0 && pf1 <= 0.0) { |
158 | 0 | return false; |
159 | 0 | } |
160 | | |
161 | 0 | Coordinate newp0; |
162 | 0 | project(pf0, newp0); |
163 | 0 | if (pf0 < 0.0) newp0 = p0; |
164 | 0 | if (pf0 > 1.0) newp0 = p1; |
165 | |
|
166 | 0 | Coordinate newp1; |
167 | 0 | project(pf1, newp1); |
168 | 0 | if (pf1 < 0.0) newp1 = p0; |
169 | 0 | if (pf1 > 1.0) newp1 = p1; |
170 | |
|
171 | 0 | ret.setCoordinates(newp0, newp1); |
172 | |
|
173 | 0 | return true; |
174 | 0 | } |
175 | | |
176 | | CoordinateXY |
177 | | LineSegment::closestPoint(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& q) |
178 | 0 | { |
179 | 0 | double factor = projectionFactor(p0, p1, q); |
180 | 0 | if(factor > 0 && factor < 1) { |
181 | 0 | return project(p0, p1, factor); |
182 | 0 | } |
183 | | |
184 | 0 | double dist0 = p0.distance(q); |
185 | 0 | double dist1 = p1.distance(q); |
186 | 0 | if(dist0 < dist1) { |
187 | 0 | return p0; |
188 | 0 | } |
189 | | |
190 | 0 | return p1; |
191 | 0 | } |
192 | | |
193 | | //Coordinate* |
194 | | void |
195 | | LineSegment::closestPoint(const CoordinateXY& p, CoordinateXY& ret) const |
196 | 0 | { |
197 | 0 | double factor = projectionFactor(p); |
198 | 0 | if(factor > 0 && factor < 1) { |
199 | 0 | project(factor, ret); |
200 | 0 | return; |
201 | 0 | } |
202 | 0 | double dist0 = p0.distance(p); |
203 | 0 | double dist1 = p1.distance(p); |
204 | 0 | if(dist0 < dist1) { |
205 | 0 | ret = p0; |
206 | 0 | return; |
207 | 0 | } |
208 | 0 | ret = p1; |
209 | 0 | } |
210 | | |
211 | | /*public*/ |
212 | | bool |
213 | | LineSegment::equalsTopo(const LineSegment& other) const |
214 | 0 | { |
215 | 0 | return (p0 == other.p0 && p1 == other.p1) || (p0 == other.p1 && p1 == other.p0); |
216 | 0 | } |
217 | | |
218 | | /*public*/ |
219 | | int |
220 | | LineSegment::orientationIndex(const LineSegment& seg) const |
221 | 0 | { |
222 | 0 | int orient0 = algorithm::Orientation::index(p0, p1, seg.p0); |
223 | 0 | int orient1 = algorithm::Orientation::index(p0, p1, seg.p1); |
224 | | // this handles the case where the points are L or collinear |
225 | 0 | if(orient0 >= 0 && orient1 >= 0) { |
226 | 0 | return std::max(orient0, orient1); |
227 | 0 | } |
228 | | // this handles the case where the points are R or collinear |
229 | 0 | if(orient0 <= 0 && orient1 <= 0) { |
230 | 0 | return std::min(orient0, orient1); |
231 | 0 | } |
232 | | // points lie on opposite sides ==> indeterminate orientation |
233 | 0 | return 0; |
234 | 0 | } |
235 | | |
236 | | std::array<Coordinate, 2> |
237 | | LineSegment::closestPoints(const LineSegment& line) |
238 | 0 | { |
239 | | // test for intersection |
240 | 0 | Coordinate intPt = intersection(line); |
241 | 0 | if(!intPt.isNull()) { |
242 | 0 | return {{ intPt, intPt }}; |
243 | 0 | } |
244 | | |
245 | | /* |
246 | | * if no intersection closest pair contains at least one endpoint. |
247 | | * Test each endpoint in turn. |
248 | | */ |
249 | 0 | std::array<Coordinate, 2> closestPt; |
250 | |
|
251 | 0 | double dist; |
252 | |
|
253 | 0 | Coordinate close00; |
254 | 0 | closestPoint(line.p0, close00); |
255 | 0 | double minDistance = close00.distance(line.p0); |
256 | |
|
257 | 0 | closestPt[0] = close00; |
258 | 0 | closestPt[1] = line.p0; |
259 | |
|
260 | 0 | Coordinate close01; |
261 | 0 | closestPoint(line.p1, close01); |
262 | 0 | dist = close01.distance(line.p1); |
263 | 0 | if(dist < minDistance) { |
264 | 0 | minDistance = dist; |
265 | 0 | closestPt[0] = close01; |
266 | 0 | closestPt[1] = line.p1; |
267 | 0 | } |
268 | |
|
269 | 0 | Coordinate close10; |
270 | 0 | line.closestPoint(p0, close10); |
271 | 0 | dist = close10.distance(p0); |
272 | 0 | if(dist < minDistance) { |
273 | 0 | minDistance = dist; |
274 | 0 | closestPt[0] = p0; |
275 | 0 | closestPt[1] = close10; |
276 | 0 | } |
277 | |
|
278 | 0 | Coordinate close11; |
279 | 0 | line.closestPoint(p1, close11); |
280 | 0 | dist = close11.distance(p1); |
281 | 0 | if(dist < minDistance) { |
282 | 0 | closestPt[0] = p1; |
283 | 0 | closestPt[1] = close11; |
284 | 0 | } |
285 | |
|
286 | 0 | return closestPt; |
287 | 0 | } |
288 | | |
289 | | std::array<CoordinateXY, 2> |
290 | | LineSegment::closestPoints(const CoordinateXY& p0, const CoordinateXY& p1, |
291 | | const CoordinateXY& q0, const CoordinateXY& q1) |
292 | 0 | { |
293 | | // test for intersection |
294 | 0 | algorithm::LineIntersector li; |
295 | 0 | li.computeIntersection(p0, p1, q0, q1); |
296 | 0 | if(li.hasIntersection()) { |
297 | 0 | return {CoordinateXY{li.getIntersection(0)}, |
298 | 0 | CoordinateXY{li.getIntersection(0)}}; |
299 | 0 | } |
300 | | |
301 | | /* |
302 | | * if no intersection closest pair contains at least one endpoint. |
303 | | * Test each endpoint in turn. |
304 | | */ |
305 | 0 | std::array<CoordinateXY, 2> closestPt; |
306 | |
|
307 | 0 | CoordinateXY close00 = closestPoint(p0, p1, q0); |
308 | 0 | double minDistance = close00.distance(q0); |
309 | |
|
310 | 0 | closestPt[0] = close00; |
311 | 0 | closestPt[1] = q0; |
312 | |
|
313 | 0 | CoordinateXY close01 = closestPoint(p0, p1, q1); |
314 | 0 | double dist = close01.distance(q1); |
315 | 0 | if(dist < minDistance) { |
316 | 0 | minDistance = dist; |
317 | 0 | closestPt[0] = close01; |
318 | 0 | closestPt[1] = q1; |
319 | 0 | } |
320 | |
|
321 | 0 | CoordinateXY close10 = closestPoint(q0, q1, p0); |
322 | 0 | dist = close10.distance(p0); |
323 | 0 | if(dist < minDistance) { |
324 | 0 | minDistance = dist; |
325 | 0 | closestPt[0] = p0; |
326 | 0 | closestPt[1] = close10; |
327 | 0 | } |
328 | |
|
329 | 0 | CoordinateXY close11 = closestPoint(q0, q1, p1); |
330 | 0 | dist = close11.distance(p1); |
331 | 0 | if(dist < minDistance) { |
332 | 0 | closestPt[0] = p1; |
333 | 0 | closestPt[1] = close11; |
334 | 0 | } |
335 | |
|
336 | 0 | return closestPt; |
337 | 0 | } |
338 | | |
339 | | Coordinate |
340 | | LineSegment::intersection(const LineSegment& line) const |
341 | 0 | { |
342 | 0 | algorithm::LineIntersector li; |
343 | 0 | li.computeIntersection(p0, p1, line.p0, line.p1); |
344 | 0 | if(li.hasIntersection()) { |
345 | 0 | return li.getIntersection(0); |
346 | 0 | } |
347 | 0 | Coordinate rv; |
348 | 0 | rv.setNull(); |
349 | 0 | return rv; |
350 | 0 | } |
351 | | |
352 | | Coordinate |
353 | | LineSegment::lineIntersection(const LineSegment& line) const |
354 | 0 | { |
355 | | // TODO return a CoordinateXY here. |
356 | 0 | return Coordinate(algorithm::Intersection::intersection(p0, p1, line.p0, line.p1)); |
357 | 0 | } |
358 | | |
359 | | |
360 | | /* public */ |
361 | | void |
362 | | LineSegment::pointAlongOffset(double segmentLengthFraction, |
363 | | double offsetDistance, |
364 | | Coordinate& ret) const |
365 | 0 | { |
366 | | // the point on the segment line |
367 | 0 | double segx = p0.x + segmentLengthFraction * (p1.x - p0.x); |
368 | 0 | double segy = p0.y + segmentLengthFraction * (p1.y - p0.y); |
369 | |
|
370 | 0 | double dx = p1.x - p0.x; |
371 | 0 | double dy = p1.y - p0.y; |
372 | 0 | double len = std::sqrt(dx * dx + dy * dy); |
373 | |
|
374 | 0 | double ux = 0.0; |
375 | 0 | double uy = 0.0; |
376 | 0 | if(offsetDistance != 0.0) { |
377 | 0 | if(len <= 0.0) { |
378 | 0 | throw util::IllegalStateException("Cannot compute offset from zero-length line segment"); |
379 | 0 | } |
380 | | |
381 | | // u is the vector that is the length of the offset, |
382 | | // in the direction of the segment |
383 | 0 | ux = offsetDistance * dx / len; |
384 | 0 | uy = offsetDistance * dy / len; |
385 | 0 | } |
386 | | |
387 | | // the offset point is the seg point plus the offset |
388 | | // vector rotated 90 degrees CCW |
389 | 0 | double offsetx = segx - uy; |
390 | 0 | double offsety = segy + ux; |
391 | |
|
392 | 0 | ret = Coordinate(offsetx, offsety); |
393 | 0 | } |
394 | | |
395 | | /* public */ |
396 | | LineSegment |
397 | | LineSegment::offset(double offsetDistance) |
398 | 0 | { |
399 | 0 | Coordinate offset0, offset1; |
400 | 0 | pointAlongOffset(0, offsetDistance, offset0); |
401 | 0 | pointAlongOffset(1, offsetDistance, offset1); |
402 | 0 | LineSegment ls(offset0, offset1); |
403 | 0 | return ls; |
404 | 0 | } |
405 | | |
406 | | /* public */ |
407 | | double |
408 | | LineSegment::distancePerpendicularOriented(const CoordinateXY& p) const |
409 | 0 | { |
410 | 0 | if (p0.equals2D(p1)) |
411 | 0 | return p0.distance(p); |
412 | 0 | double dist = distancePerpendicular(p); |
413 | 0 | if (orientationIndex(p) < 0) |
414 | 0 | return -dist; |
415 | 0 | return dist; |
416 | 0 | } |
417 | | |
418 | | /* public */ |
419 | | std::unique_ptr<LineString> |
420 | | LineSegment::toGeometry(const GeometryFactory& gf) const |
421 | 0 | { |
422 | 0 | auto cl = detail::make_unique<CoordinateSequence>(2u); |
423 | |
|
424 | 0 | cl->setAt(p0, 0); |
425 | 0 | cl->setAt(p1, 1); |
426 | 0 | return gf.createLineString(std::move(cl)); |
427 | 0 | } |
428 | | |
429 | | /* public */ |
430 | | std::ostream& |
431 | | LineSegment::operator<< (std::ostream& os) |
432 | 0 | { |
433 | 0 | return os << "LINESEGMENT(" |
434 | 0 | << p0.x << " " << p0.y << "," |
435 | 0 | << p1.x << " " << p1.y << ")"; |
436 | 0 | } |
437 | | |
438 | | |
439 | | |
440 | | |
441 | | } // namespace geos::geom |
442 | | } // namespace geos |