PostGIS  2.4.9dev-r@@SVN_REVISION@@
cu_tree.c
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1 /**********************************************************************
2  *
3  * PostGIS - Spatial Types for PostgreSQL
4  * http://postgis.net
5  *
6  * Copyright 2011 Sandro Santilli <strk@kbt.io>
7  *
8  * This is free software; you can redistribute and/or modify it under
9  * the terms of the GNU General Public Licence. See the COPYING file.
10  *
11  **********************************************************************/
12 
13 #include <stdio.h>
14 #include <stdlib.h>
15 #include <string.h>
16 #include "CUnit/Basic.h"
17 
18 #include "liblwgeom_internal.h"
19 #include "lwgeodetic.h"
20 #include "lwgeodetic_tree.h"
21 #include "cu_tester.h"
22 
23 
24 static void test_tree_circ_create(void)
25 {
26  LWLINE *g;
27  CIRC_NODE *c;
28  /* Line with 4 edges */
29  g = lwgeom_as_lwline(lwgeom_from_wkt("LINESTRING(0 88,0 89,0 90,180 89,180 88)", LW_PARSER_CHECK_NONE));
30  c = circ_tree_new(g->points);
31  //circ_tree_print(c, 0);
32 
33  if ( CIRC_NODE_SIZE > 4 )
34  {
35  CU_ASSERT(c->num_nodes == 4);
36  }
37  else
38  {
39  CU_ASSERT(c->num_nodes == ( 4 % CIRC_NODE_SIZE ? 1 : 0 ) + 4 / CIRC_NODE_SIZE);
40  }
41 
42  circ_tree_free(c);
43  lwline_free(g);
44 }
45 
46 
47 static void test_tree_circ_pip(void)
48 {
49  LWLINE *g;
50  CIRC_NODE *c;
51  POINT2D pt, pt_outside;
52  int rv, on_boundary;
53 
54  pt.x = 0.0;
55  pt.y = 0.0;
56  pt_outside.x = -2.0;
57  pt_outside.y = 0.0;
58 
59  /* Point in square */
60  g = lwgeom_as_lwline(lwgeom_from_wkt("LINESTRING(-1 -1,1 -1,1 1,-1 1,-1 -1)", LW_PARSER_CHECK_NONE));
61  c = circ_tree_new(g->points);
62  rv = circ_tree_contains_point(c, &pt, &pt_outside, 0, &on_boundary);
63  CU_ASSERT_EQUAL(rv, 1);
64 
65  /* Point on other side of square */
66  pt.x = 2.0;
67  pt.y = 0.0;
68  rv = circ_tree_contains_point(c, &pt, &pt_outside, 0, &on_boundary);
69  CU_ASSERT_EQUAL(rv, 0);
70 
71  /* Clean and do new shape */
72  circ_tree_free(c);
73  lwline_free(g);
74 
75  /* Point in square, stab passing through vertex */
76  pt.x = 0.0;
77  pt.y = 0.0;
78  g = lwgeom_as_lwline(lwgeom_from_wkt("LINESTRING(-1 -1,0 -1,1 -1,1 0,1 1,0 1,-1 1,-1 0,-1 -1)", LW_PARSER_CHECK_NONE));
79  c = circ_tree_new(g->points);
80  //circ_tree_print(c, 0);
81  rv = circ_tree_contains_point(c, &pt, &pt_outside, 0, &on_boundary);
82  CU_ASSERT_EQUAL(rv, 1);
83 
84  /* Point on other side of square, stab passing through vertex */
85  pt.x = 2.0;
86  pt.y = 0.0;
87  rv = circ_tree_contains_point(c, &pt, &pt_outside, 0, &on_boundary);
88  CU_ASSERT_EQUAL(rv, 0);
89 
90  /* Clean and do new shape */
91  circ_tree_free(c);
92  lwline_free(g);
93 
94  /* Point outside "w" thing, stab passing through vertexes and grazing pointy thing */
95  pt.x = 2.0;
96  pt.y = 0.0;
97  g = lwgeom_as_lwline(lwgeom_from_wkt("LINESTRING(-1 -1,0 -1,1 -1,1 0,1 1,0 0,-1 1,-1 0,-1 -1)", LW_PARSER_CHECK_NONE));
98  c = circ_tree_new(g->points);
99  //circ_tree_print(c, 0);
100  rv = circ_tree_contains_point(c, &pt, &pt_outside, 0, &on_boundary);
101  //printf("rv %d\n", rv);
102  CU_ASSERT_EQUAL(rv, 0);
103 
104  /* Point inside "w" thing, stab passing through vertexes and grazing pointy thing */
105  pt.x = 0.8;
106  pt.y = 0.0;
107  rv = circ_tree_contains_point(c, &pt, &pt_outside, 0, &on_boundary);
108  //printf("rv %d\n", rv);
109  CU_ASSERT_EQUAL(rv, 1);
110 
111  /* Clean and do new shape */
112  circ_tree_free(c);
113  lwline_free(g);
114 
115 }
116 
117 static void test_tree_circ_pip2(void)
118 {
119  LWGEOM* g;
120  LWPOLY* p;
121  LWPOINT* lwpt;
122  int rv_classic, rv_tree, on_boundary;
123  POINT2D pt, pt_outside;
124  GBOX gbox;
125  CIRC_NODE *c;
126 
127  g = lwgeom_from_wkt("POLYGON((0 0,0 1,1 1,1 0,0 0))", LW_PARSER_CHECK_NONE);
128  p = lwgeom_as_lwpoly(g);
129 
130  pt.x = 0.2;
131  pt.y = 0.1;
132  lwgeom_calculate_gbox_geodetic(g, &gbox);
133  gbox_pt_outside(&gbox, &pt_outside);
134  c = circ_tree_new(p->rings[0]);
135  //circ_tree_print(c, 0);
136  rv_classic = lwpoly_covers_point2d(p, &pt);
137  rv_tree = circ_tree_contains_point(c, &pt, &pt_outside, 0, &on_boundary);
138  CU_ASSERT_EQUAL(rv_tree, rv_classic);
139  circ_tree_free(c);
140  lwgeom_free(g);
141 
142  g = lwgeom_from_hexwkb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
143  p = lwgeom_as_lwpoly(g);
144  lwpt = (LWPOINT*)lwgeom_from_hexwkb("0101000020E610000057B89C28FEB320C09C8102CB3B2B4A40", LW_PARSER_CHECK_NONE);
145  lwpoint_getPoint2d_p(lwpt, &pt);
146  lwgeom_calculate_gbox_geodetic(g, &gbox);
147  gbox_pt_outside(&gbox, &pt_outside);
148  //printf("OUTSIDE POINT(%g %g)\n", pt_outside.x, pt_outside.y);
149  c = circ_tree_new(p->rings[0]);
150  rv_classic = lwpoly_covers_point2d(p, &pt);
151  rv_tree = circ_tree_contains_point(c, &pt, &pt_outside, 0, &on_boundary);
152  CU_ASSERT_EQUAL(rv_tree, rv_classic);
153  circ_tree_free(c);
154  lwpoint_free(lwpt);
155  lwgeom_free(g);
156 
157  g = lwgeom_from_hexwkb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LW_PARSER_CHECK_NONE);
158  p = lwgeom_as_lwpoly(g);
159  lwpt = (LWPOINT*)lwgeom_from_hexwkb("0101000020E610000031B1F9B836A046C03C889D2974124E40", LW_PARSER_CHECK_NONE);
160  lwpoint_getPoint2d_p(lwpt, &pt);
161  lwgeom_calculate_gbox_geodetic(g, &gbox);
162  gbox_pt_outside(&gbox, &pt_outside);
163  //printf("OUTSIDE POINT(%g %g)\n", pt_outside.x, pt_outside.y);
164  c = circ_tree_new(p->rings[0]);
165  rv_classic = lwpoly_covers_point2d(p, &pt);
166  rv_tree = circ_tree_contains_point(c, &pt, &pt_outside, 0, &on_boundary);
167  CU_ASSERT_EQUAL(rv_tree, rv_classic);
168  circ_tree_free(c);
169  lwpoint_free(lwpt);
170  lwgeom_free(g);
171 
172 }
173 
174 
175 static void test_tree_circ_distance(void)
176 {
177  LWGEOM *lwg1, *lwg2;
178  CIRC_NODE *c1, *c2;
179  SPHEROID s;
180  double d1, d2, d3, d4, e1, e2;
181  double threshold = 0.0;
182 
183  spheroid_init(&s, 1.0, 1.0);
184 
185  /* Ticket #4223 */
186  /* tall skinny rectangle */
187  lwg1 = lwgeom_from_wkt("POLYGON((58.5112113206308 0,58.5112113200772 0.000901937525203378,58.511300910044 0.000901937636668872,58.5113009105976 0,58.5112113206308 0))", LW_PARSER_CHECK_NONE);
188  /* square box 5m to left */
189  lwg2 = lwgeom_from_wkt("POLYGON((58.5111665256017 0.000270581240841207,58.5111665255629 0.000360774987788249,58.5110769356128 0.000360774943200728,58.5110769356515 0.000270581207400566,58.5111665256017 0.000270581240841207))", LW_PARSER_CHECK_NONE);
190  c1 = lwgeom_calculate_circ_tree(lwg1);
191  c2 = lwgeom_calculate_circ_tree(lwg2);
192  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
193  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
194  e1 = d1 * WGS84_RADIUS;
195  e2 = d2 * WGS84_RADIUS;
196  // printf("d1 = %g d2 = %g\n", d1, d2);
197  // printf("e1 = %g e2 = %g\n", e1, e2);
198  // printf("polygon a\n");
199  // circ_tree_print(c1, 0);
200  // printf("polygon b\n");
201  // circ_tree_print(c2, 0);
202  circ_tree_free(c1);
203  circ_tree_free(c2);
204  lwgeom_free(lwg1);
205  lwgeom_free(lwg2);
206  CU_ASSERT_DOUBLE_EQUAL(e1, e2, 0.0001);
207 
208 
209  /* Ticket #1958 */
210  lwg1 = lwgeom_from_wkt("LINESTRING(22.88333 41.96667,21.32667 42.13667)", LW_PARSER_CHECK_NONE);
211  lwg2 = lwgeom_from_wkt("POLYGON((22.94472 41.34667,22.87528 41.99028,22.87389 41.98472,22.87472 41.98333,22.94472 41.34667))", LW_PARSER_CHECK_NONE);
212  c1 = lwgeom_calculate_circ_tree(lwg1);
213  c2 = lwgeom_calculate_circ_tree(lwg2);
214  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
215  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
216 // printf("d1 = %g d2 = %g\n", d1 * WGS84_RADIUS, d2 * WGS84_RADIUS);
217 // printf("line\n");
218 // circ_tree_print(c1, 0);
219 // printf("poly\n");
220 // circ_tree_print(c2, 0);
221  circ_tree_free(c1);
222  circ_tree_free(c2);
223  lwgeom_free(lwg1);
224  lwgeom_free(lwg2);
225  CU_ASSERT_DOUBLE_EQUAL(d1, d2, 0.0000001);
226 
227  /* Ticket #1951 */
228  lwg1 = lwgeom_from_wkt("LINESTRING(0 0, 0 0)", LW_PARSER_CHECK_NONE);
229  lwg2 = lwgeom_from_wkt("POINT(0.1 0.1)", LW_PARSER_CHECK_NONE);
230  c1 = lwgeom_calculate_circ_tree(lwg1);
231  c2 = lwgeom_calculate_circ_tree(lwg2);
232  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
233  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
234  circ_tree_free(c1);
235  circ_tree_free(c2);
236  lwgeom_free(lwg1);
237  lwgeom_free(lwg2);
238  CU_ASSERT_DOUBLE_EQUAL(d1, d2, 0.00001);
239 
240  lwg1 = lwgeom_from_wkt("LINESTRING(-1 -1,0 -1,1 -1,1 0,1 1,0 0,-1 1,-1 0,-1 -1)", LW_PARSER_CHECK_NONE);
241  lwg2 = lwgeom_from_wkt("POINT(-2 0)", LW_PARSER_CHECK_NONE);
242  c1 = lwgeom_calculate_circ_tree(lwg1);
243  c2 = lwgeom_calculate_circ_tree(lwg2);
244  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
245  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
246  circ_tree_free(c1);
247  circ_tree_free(c2);
248  lwgeom_free(lwg1);
249  lwgeom_free(lwg2);
250  CU_ASSERT_DOUBLE_EQUAL(d1, d2, 0.00001);
251 
252  lwg1 = lwgeom_from_wkt("LINESTRING(-1 -1,0 -1,1 -1,1 0,1 1,0 0,-1 1,-1 0,-1 -1)", LW_PARSER_CHECK_NONE);
253  lwg2 = lwgeom_from_wkt("POINT(2 2)", LW_PARSER_CHECK_NONE);
254  c1 = lwgeom_calculate_circ_tree(lwg1);
255  c2 = lwgeom_calculate_circ_tree(lwg2);
256  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
257  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
258  circ_tree_free(c1);
259  circ_tree_free(c2);
260  lwgeom_free(lwg1);
261  lwgeom_free(lwg2);
262  CU_ASSERT_DOUBLE_EQUAL(d1, d2, 0.00001);
263 
264  lwg1 = lwgeom_from_wkt("LINESTRING(-1 -1,0 -1,1 -1,1 0,1 1,0 0,-1 1,-1 0,-1 -1)", LW_PARSER_CHECK_NONE);
265  lwg2 = lwgeom_from_wkt("POINT(1 1)", LW_PARSER_CHECK_NONE);
266  c1 = lwgeom_calculate_circ_tree(lwg1);
267  c2 = lwgeom_calculate_circ_tree(lwg2);
268  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
269  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
270  circ_tree_free(c1);
271  circ_tree_free(c2);
272  lwgeom_free(lwg1);
273  lwgeom_free(lwg2);
274  CU_ASSERT_DOUBLE_EQUAL(d1, d2, 0.00001);
275 
276  lwg1 = lwgeom_from_wkt("LINESTRING(-1 -1,0 -1,1 -1,1 0,1 1,0 0,-1 1,-1 0,-1 -1)", LW_PARSER_CHECK_NONE);
277  lwg2 = lwgeom_from_wkt("POINT(1 0.5)", LW_PARSER_CHECK_NONE);
278  c1 = lwgeom_calculate_circ_tree(lwg1);
279  c2 = lwgeom_calculate_circ_tree(lwg2);
280  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
281  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
282 // printf("distance_tree %g\n", distance_tree);
283 // printf("distance_geom %g\n", distance_geom);
284 // circ_tree_print(cline, 0);
285 // circ_tree_print(cpoint, 0);
286  circ_tree_free(c1);
287  circ_tree_free(c2);
288  lwgeom_free(lwg1);
289  lwgeom_free(lwg2);
290  CU_ASSERT_DOUBLE_EQUAL(d1, d2, 0.00001);
291 
292 
293  /* Ticket #2351 */
294  lwg1 = lwgeom_from_wkt("LINESTRING(149.386990599235 -26.3567415843982,149.386990599247 -26.3567415843965)", LW_PARSER_CHECK_NONE);
295  lwg2 = lwgeom_from_wkt("POINT(149.386990599235 -26.3567415843982)", LW_PARSER_CHECK_NONE);
296  c1 = lwgeom_calculate_circ_tree(lwg1);
297  c2 = lwgeom_calculate_circ_tree(lwg2);
298  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
299  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
300 // printf("d1 = %g d2 = %g\n", d1 * WGS84_RADIUS, d2 * WGS84_RADIUS);
301 // printf("line\n");
302 // circ_tree_print(c1, 0);
303 // printf("point\n");
304 // circ_tree_print(c2, 0);
305  circ_tree_free(c1);
306  circ_tree_free(c2);
307  lwgeom_free(lwg1);
308  lwgeom_free(lwg2);
309  CU_ASSERT_DOUBLE_EQUAL(d1, d2, 0.0000001);
310 
311  /* Ticket #2634 */
312  lwg1 = lwgeom_from_wkt("MULTIPOINT (-10 40,-10 65,10 40,10 65,30 40,30 65,50 40,50 65)", LW_PARSER_CHECK_NONE);
313  lwg2 = lwgeom_from_wkt("POLYGON((-9.1111111 40,-9.14954053919354 39.6098193559677,-9.26335203497743 39.2346331352698,-9.44817187539491 38.8888595339608,-9.6968975376269 38.5857864376269,-9.99997063396079 38.3370607753949,-10.3457442352698 38.1522409349774,-10.7209304559677 38.0384294391935,-11.1111111 38,-11.5012917440323 38.0384294391935,-11.8764779647302 38.1522409349774,-12.2222515660392 38.3370607753949,-12.5253246623731 38.5857864376269,-12.7740503246051 38.8888595339608,-12.9588701650226 39.2346331352698,-13.0726816608065 39.6098193559677,-13.1111111 40,-13.0726816608065 40.3901806440322,-12.9588701650226 40.7653668647302,-12.7740503246051 41.1111404660392,-12.5253246623731 41.4142135623731,-12.2222515660392 41.6629392246051,-11.8764779647302 41.8477590650226,-11.5012917440323 41.9615705608065,-11.1111111 42,-10.7209304559678 41.9615705608065,-10.3457442352698 41.8477590650226,-9.9999706339608 41.6629392246051,-9.69689753762691 41.4142135623731,-9.44817187539491 41.1111404660392,-9.26335203497743 40.7653668647302,-9.14954053919354 40.3901806440323,-9.1111111 40))", LW_PARSER_CHECK_NONE);
314  c1 = lwgeom_calculate_circ_tree(lwg1);
315  c2 = lwgeom_calculate_circ_tree(lwg2);
316  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
317  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
318 // printf("d1 = %g d2 = %g\n", d1 * WGS84_RADIUS, d2 * WGS84_RADIUS);
319 // printf("multipoint\n");
320 // circ_tree_print(c1, 0);
321 // printf("polygon\n");
322 // circ_tree_print(c2, 0);
323  circ_tree_free(c1);
324  circ_tree_free(c2);
325  lwgeom_free(lwg1);
326  lwgeom_free(lwg2);
327  CU_ASSERT_DOUBLE_EQUAL(d1, d2, 0.0000001);
328 
329  /* Ticket #2634 */
330  lwg1 = lwgeom_from_wkt("MULTIPOINT Z (-10 40 1,-10 65 1,10 40 1,10 65 1,30 40 1,30 65 1,50 40 1,50 65 1,-10 40 2,-10 65 2,10 40 2,10 65 2,30 40 2,30 65 2,50 40 2,50 65 2,-10 40 3,-10 65 3,10 40 3,10 65 3,30 40 3,30 65 3,50 40 3,50 65 3)", LW_PARSER_CHECK_NONE);
331  lwg2 = lwgeom_from_wkt("MULTIPOLYGON(((-9.1111111 40,-9.14954053919354 39.6098193559677,-9.26335203497743 39.2346331352698,-9.44817187539491 38.8888595339608,-9.6968975376269 38.5857864376269,-9.99997063396079 38.3370607753949,-10.3457442352698 38.1522409349774,-10.7209304559677 38.0384294391935,-11.1111111 38,-11.5012917440323 38.0384294391935,-11.8764779647302 38.1522409349774,-12.2222515660392 38.3370607753949,-12.5253246623731 38.5857864376269,-12.7740503246051 38.8888595339608,-12.9588701650226 39.2346331352698,-13.0726816608065 39.6098193559677,-13.1111111 40,-13.0726816608065 40.3901806440322,-12.9588701650226 40.7653668647302,-12.7740503246051 41.1111404660392,-12.5253246623731 41.4142135623731,-12.2222515660392 41.6629392246051,-11.8764779647302 41.8477590650226,-11.5012917440323 41.9615705608065,-11.1111111 42,-10.7209304559678 41.9615705608065,-10.3457442352698 41.8477590650226,-9.9999706339608 41.6629392246051,-9.69689753762691 41.4142135623731,-9.44817187539491 41.1111404660392,-9.26335203497743 40.7653668647302,-9.14954053919354 40.3901806440323,-9.1111111 40)))", LW_PARSER_CHECK_NONE);
332  c1 = lwgeom_calculate_circ_tree(lwg1);
333  c2 = lwgeom_calculate_circ_tree(lwg2);
334 // printf("\n");
335 // circ_tree_print(c1, 0);
336 // printf("\n");
337 // circ_tree_print(c2, 0);
338 // printf("\n");
339  d1 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
340  d2 = circ_tree_distance_tree(c1, c2, &s, threshold);
341  d3 = circ_tree_distance_tree(c1, c2, &s, threshold);
342  d4 = circ_tree_distance_tree(c1, c2, &s, threshold);
343 // printf("\n d1-no-tree %20.20g\n d2 %20.20g\n d3 %20.20g\n d4 %20.20g\n", d1, d2, d3, d4);
344  circ_tree_free(c1);
345  circ_tree_free(c2);
346  lwgeom_free(lwg1);
347  lwgeom_free(lwg2);
348  CU_ASSERT_DOUBLE_EQUAL(d1, d2, 0.00000001);
349  CU_ASSERT_DOUBLE_EQUAL(d1, d3, 0.00000001);
350  CU_ASSERT_DOUBLE_EQUAL(d1, d4, 0.00000001);
351 
352 
353  /* Ticket #4290 */
354  const char *wkb1 = 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
355  const char *wkb2 = "0103000020E610000001000000080000002CAFE119EF2F53C02D6D4097DFBE42400050FBE7F32F53C05A08B32BD9BE42402ED0C3E9E52F53C0132FFFAE9DBE424048885052FE2F53C0DE5D06256BBE42409534CFEF163053C07D170F98ADBE42402E72095F303053C025ECD50CEABE424059CE3A7C103053C0235393C114BF42402CAFE119EF2F53C02D6D4097DFBE4240";
356  spheroid_init(&s, WGS84_MAJOR_AXIS, WGS84_MINOR_AXIS);
357  lwg1 = lwgeom_from_hexwkb(wkb1, LW_PARSER_CHECK_NONE);
358  lwg2 = lwgeom_from_hexwkb(wkb2, LW_PARSER_CHECK_NONE);
359  c1 = lwgeom_calculate_circ_tree(lwg1);
360  c2 = lwgeom_calculate_circ_tree(lwg2);
361  d1 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
362  d2 = circ_tree_distance_tree(c1, c2, &s, threshold);
363  circ_tree_free(c1);
364  circ_tree_free(c2);
365  lwgeom_free(lwg1);
366  lwgeom_free(lwg2);
367  CU_ASSERT_DOUBLE_EQUAL(d1, 18358.866, 0.01);
368  CU_ASSERT_DOUBLE_EQUAL(d2, 18358.866, 0.01);
369 }
370 
371 static void test_tree_circ_distance_threshold(void)
372 {
373  SPHEROID s;
374  int i, j;
375  int step = 10;
376 
377  const char *txt_poly1 = "0103000020E6100000010000000B0000000AA2F068F47651C0F7893DEB70B8454007ABD4C6D57651C000FB650799B84540C21AA2645A7651C011C24BA84AB8454089A9A325E87751C03314EB5453B74540AF9ED96BF57751C0BF9818F889B74540E936A498B47751C0690C87D1C5B74540F5386204DC7751C02FCA658F1AB8454077B65F7B657751C012C586EE37B845408C1862C5977751C00F17E41674B84540D4012F57357751C0AD3BC67E99B845400AA2F068F47651C0F7893DEB70B84540";
378  const char *txt_poly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379  const char *polys[2];
380  static int npolys = 2;
381 
382  polys[0] = txt_poly1;
383  polys[1] = txt_poly2;
384 
385  // spheroid_init(&s, WGS84_RADIUS, WGS84_RADIUS);
386  spheroid_init(&s, WGS84_MAJOR_AXIS, WGS84_MINOR_AXIS);
387 
388  for ( j = 0; j < npolys; j++ )
389  {
390  LWGEOM *lwg1 = lwgeom_from_hexwkb(polys[j], LW_PARSER_CHECK_NONE);
391  LWGEOM *lwg2 = lwgeom_from_wkt("POINT(-69.83262 43.43636)", LW_PARSER_CHECK_NONE);
392 
393  CIRC_NODE *c1 = lwgeom_calculate_circ_tree(lwg1);
394  CIRC_NODE *c2 = lwgeom_calculate_circ_tree(lwg2);
395 
396  for ( i = 50; i < 1500 / step; i++ )
397  {
398  double d1, d2;
399  double d = lwgeom_distance_spheroid(lwg1, lwg2, &s, 0);
400  double threshold = step * i;
401  d1 = circ_tree_distance_tree(c1, c2, &s, threshold);
402  d2 = lwgeom_distance_spheroid(lwg1, lwg2, &s, threshold);
403  if (threshold > d && (d1 > threshold || d2 > threshold))
404  {
405  printf("polygon #%d\n"
406  "threshold = %g\n"
407  "true distance = %g\n"
408  "circ_tree_distance = %g\n"
409  "lwgeom_distance_spheroid = %g\n", j, threshold, d, d1, d2);
410  CU_FAIL_FATAL();
411  }
412  }
413 
414  circ_tree_free(c1);
415  circ_tree_free(c2);
416  lwgeom_free(lwg1);
417  lwgeom_free(lwg2);
418  }
419 
420 }
421 
422 /*
423 ** Used by test harness to register the tests in this file.
424 */
425 void tree_suite_setup(void);
426 void tree_suite_setup(void)
427 {
428  CU_pSuite suite = CU_add_suite("Internal Spatial Trees", NULL, NULL);
429  PG_ADD_TEST(suite, test_tree_circ_create);
430  PG_ADD_TEST(suite, test_tree_circ_pip);
431  PG_ADD_TEST(suite, test_tree_circ_pip2);
432  PG_ADD_TEST(suite, test_tree_circ_distance);
433  PG_ADD_TEST(suite, test_tree_circ_distance_threshold);
434 }
lwgeom_calculate_gbox_geodetic
int lwgeom_calculate_gbox_geodetic(const LWGEOM *geom, GBOX *gbox)
Calculate the geodetic bounding box for an LWGEOM.
Definition: lwgeodetic.c:3012
CIRC_NODE_SIZE
#define CIRC_NODE_SIZE
Definition: lwgeodetic_tree.h:31
circ_node
Note that p1 and p2 are pointers into an independent POINTARRAY, do not free them.
Definition: lwgeodetic_tree.h:36
spheroid_init
void spheroid_init(SPHEROID *s, double a, double b)
Initialize a spheroid object for use in geodetic functions.
Definition: lwspheroid.c:39
WGS84_RADIUS
#define WGS84_RADIUS
Definition: liblwgeom.h:131
circ_node::num_nodes
int num_nodes
Definition: lwgeodetic_tree.h:40
lwpoint_getPoint2d_p
int lwpoint_getPoint2d_p(const LWPOINT *point, POINT2D *out)
Definition: lwpoint.c:40
lwpoint_free
void lwpoint_free(LWPOINT *pt)
Definition: lwpoint.c:213
lwgeom_free
void lwgeom_free(LWGEOM *geom)
Definition: lwgeom.c:1099
lwline_free
void lwline_free(LWLINE *line)
Definition: lwline.c:76
test_tree_circ_distance
static void test_tree_circ_distance(void)
Definition: cu_tree.c:175
liblwgeom_internal.h
test_tree_circ_pip
static void test_tree_circ_pip(void)
Definition: cu_tree.c:47
circ_tree_distance_tree
double circ_tree_distance_tree(const CIRC_NODE *n1, const CIRC_NODE *n2, const SPHEROID *spheroid, double threshold)
Definition: lwgeodetic_tree.c:607
WGS84_MINOR_AXIS
#define WGS84_MINOR_AXIS
Definition: liblwgeom.h:130
lwgeom_as_lwpoly
LWPOLY * lwgeom_as_lwpoly(const LWGEOM *lwgeom)
Definition: lwgeom.c:174
lwgeom_from_wkt
LWGEOM * lwgeom_from_wkt(const char *wkt, const char check)
Definition: lwin_wkt.c:904
lwgeom_calculate_circ_tree
CIRC_NODE * lwgeom_calculate_circ_tree(const LWGEOM *lwgeom)
Definition: lwgeodetic_tree.c:954
circ_tree_contains_point
int circ_tree_contains_point(const CIRC_NODE *node, const POINT2D *pt, const POINT2D *pt_outside, int level, int *on_boundary)
Walk the tree and count intersections between the stab line and the edges.
Definition: lwgeodetic_tree.c:493
tree_suite_setup
void tree_suite_setup(void)
Definition: cu_tree.c:426
lwgeodetic_tree.h
LW_PARSER_CHECK_NONE
#define LW_PARSER_CHECK_NONE
Definition: liblwgeom.h:2013
POINT2D::x
double x
Definition: liblwgeom.h:328
circ_tree_new
CIRC_NODE * circ_tree_new(const POINTARRAY *pa)
Build a tree of nodes from a point array, one node per edge.
Definition: lwgeodetic_tree.c:353
test_tree_circ_pip2
static void test_tree_circ_pip2(void)
Definition: cu_tree.c:117
PG_ADD_TEST
#define PG_ADD_TEST(suite, testfunc)
Definition: liblwgeom/cunit/cu_tester.h:17
LWPOLY::rings
POINTARRAY ** rings
Definition: liblwgeom.h:457
s
char * s
Definition: cu_in_wkt.c:23
POINT2D::y
double y
Definition: liblwgeom.h:328
lwgeom_as_lwline
LWLINE * lwgeom_as_lwline(const LWGEOM *lwgeom)
Definition: lwgeom.c:138
cu_tester.h
lwgeom_from_hexwkb
LWGEOM * lwgeom_from_hexwkb(const char *hexwkb, const char check)
Definition: lwin_wkb.c:797
circ_tree_free
void circ_tree_free(CIRC_NODE *node)
Recurse from top of node tree and free all children.
Definition: lwgeodetic_tree.c:50
WGS84_MAJOR_AXIS
#define WGS84_MAJOR_AXIS
Definition: liblwgeom.h:128
test_tree_circ_create
static void test_tree_circ_create(void)
Definition: cu_tree.c:24
gbox_pt_outside
int gbox_pt_outside(const GBOX *gbox, POINT2D *pt_outside)
Calculate a spherical point that falls outside the geocentric gbox.
Definition: lwgeodetic.c:1548
lwgeom_distance_spheroid
double lwgeom_distance_spheroid(const LWGEOM *lwgeom1, const LWGEOM *lwgeom2, const SPHEROID *spheroid, double tolerance)
Calculate the geodetic distance from lwgeom1 to lwgeom2 on the spheroid.
Definition: lwgeodetic.c:2183
lwpoly_covers_point2d
int lwpoly_covers_point2d(const LWPOLY *poly, const POINT2D *pt_to_test)
Given a polygon (lon/lat decimal degrees) and point (lon/lat decimal degrees) and a guaranteed outsid...
Definition: lwgeodetic.c:2510
test_tree_circ_distance_threshold
static void test_tree_circ_distance_threshold(void)
Definition: cu_tree.c:371
LWLINE::points
POINTARRAY * points
Definition: liblwgeom.h:422