| blob | 0e014925257aac965d074677696752a77fae412c |
1 --
2 -- GEOMETRY
3 --
4 -- Back off displayed precision a little bit to reduce platform-to-platform
5 -- variation in results.
6 SET extra_float_digits TO -3;
7 --
8 -- Points
9 --
10 SELECT '' AS four, center(f1) AS center
11 FROM BOX_TBL;
12 four | center
13 ------+---------
14 | (1,1)
15 | (2,2)
16 | (2.5,3)
17 | (3,3)
18 (4 rows)
20 SELECT '' AS four, (@@ f1) AS center
21 FROM BOX_TBL;
22 four | center
23 ------+---------
24 | (1,1)
25 | (2,2)
26 | (2.5,3)
27 | (3,3)
28 (4 rows)
30 SELECT '' AS six, point(f1) AS center
31 FROM CIRCLE_TBL;
32 six | center
33 -----+-----------
34 | (5,1)
35 | (1,2)
36 | (1,3)
37 | (1,2)
38 | (100,200)
39 | (100,1)
40 (6 rows)
42 SELECT '' AS six, (@@ f1) AS center
43 FROM CIRCLE_TBL;
44 six | center
45 -----+-----------
46 | (5,1)
47 | (1,2)
48 | (1,3)
49 | (1,2)
50 | (100,200)
51 | (100,1)
52 (6 rows)
54 SELECT '' AS two, (@@ f1) AS center
55 FROM POLYGON_TBL
56 WHERE (# f1) > 2;
57 two | center
58 -----+-------------------------------
59 | (1.33333333333,1.33333333333)
60 | (2.33333333333,1.33333333333)
61 (2 rows)
63 -- "is horizontal" function
64 SELECT '' AS two, p1.f1
65 FROM POINT_TBL p1
66 WHERE ishorizontal(p1.f1, point '(0,0)');
67 two | f1
68 -----+---------
69 | (0,0)
70 | (-10,0)
71 (2 rows)
73 -- "is horizontal" operator
74 SELECT '' AS two, p1.f1
75 FROM POINT_TBL p1
76 WHERE p1.f1 ?- point '(0,0)';
77 two | f1
78 -----+---------
79 | (0,0)
80 | (-10,0)
81 (2 rows)
83 -- "is vertical" function
84 SELECT '' AS one, p1.f1
85 FROM POINT_TBL p1
86 WHERE isvertical(p1.f1, point '(5.1,34.5)');
87 one | f1
88 -----+------------
89 | (5.1,34.5)
90 (1 row)
92 -- "is vertical" operator
93 SELECT '' AS one, p1.f1
94 FROM POINT_TBL p1
95 WHERE p1.f1 ?| point '(5.1,34.5)';
96 one | f1
97 -----+------------
98 | (5.1,34.5)
99 (1 row)
101 --
102 -- Line segments
103 --
104 -- intersection
105 SELECT '' AS count, p.f1, l.s, l.s # p.f1 AS intersection
106 FROM LSEG_TBL l, POINT_TBL p;
107 ERROR: operator does not exist: lseg # point
108 LINE 1: SELECT '' AS count, p.f1, l.s, l.s # p.f1 AS intersection
109 ^
110 HINT: No operator matches the given name and argument type(s). You might need to add explicit type casts.
111 -- closest point
112 SELECT '' AS thirty, p.f1, l.s, p.f1 ## l.s AS closest
113 FROM LSEG_TBL l, POINT_TBL p;
114 thirty | f1 | s | closest
115 --------+------------+-------------------------------+----------------------------------
116 | (0,0) | [(1,2),(3,4)] | (1,2)
117 | (0,0) | [(0,0),(6,6)] | (0,0)
118 | (0,0) | [(10,-10),(-3,-4)] | (-2.0487804878,-4.43902439024)
119 | (0,0) | [(-1000000,200),(300000,-40)] | (0.00284023658959,15.3846148603)
120 | (0,0) | [(11,22),(33,44)] | (11,22)
121 | (-10,0) | [(1,2),(3,4)] | (1,2)
122 | (-10,0) | [(0,0),(6,6)] | (0,0)
123 | (-10,0) | [(10,-10),(-3,-4)] | (-3,-4)
124 | (-10,0) | [(-1000000,200),(300000,-40)] | (-9.99715942258,15.386461014)
125 | (-10,0) | [(11,22),(33,44)] | (11,22)
126 | (-3,4) | [(1,2),(3,4)] | (1,2)
127 | (-3,4) | [(0,0),(6,6)] | (0.5,0.5)
128 | (-3,4) | [(10,-10),(-3,-4)] | (-3,-4)
129 | (-3,4) | [(-1000000,200),(300000,-40)] | (-2.99789812268,15.3851688427)
130 | (-3,4) | [(11,22),(33,44)] | (11,22)
131 | (5.1,34.5) | [(1,2),(3,4)] | (3,4)
132 | (5.1,34.5) | [(0,0),(6,6)] | (6,6)
133 | (5.1,34.5) | [(10,-10),(-3,-4)] | (-3,-4)
134 | (5.1,34.5) | [(-1000000,200),(300000,-40)] | (5.09647083221,15.3836744977)
135 | (5.1,34.5) | [(11,22),(33,44)] | (14.3,25.3)
136 | (-5,-12) | [(1,2),(3,4)] | (1,2)
137 | (-5,-12) | [(0,0),(6,6)] | (0,0)
138 | (-5,-12) | [(10,-10),(-3,-4)] | (-1.60487804878,-4.64390243902)
139 | (-5,-12) | [(-1000000,200),(300000,-40)] | (-4.99494420846,15.3855375282)
140 | (-5,-12) | [(11,22),(33,44)] | (11,22)
141 | (10,10) | [(1,2),(3,4)] | (3,4)
142 | (10,10) | [(0,0),(6,6)] | (6,6)
143 | (10,10) | [(10,-10),(-3,-4)] | (2.39024390244,-6.48780487805)
144 | (10,10) | [(-1000000,200),(300000,-40)] | (10.000993742,15.3827690473)
145 | (10,10) | [(11,22),(33,44)] | (11,22)
146 (30 rows)
148 --
149 -- Lines
150 --
151 --
152 -- Boxes
153 --
154 SELECT '' as six, box(f1) AS box FROM CIRCLE_TBL;
155 six | box
156 -----+----------------------------------------------------------------
157 | (7.12132034356,3.12132034356),(2.87867965644,-1.12132034356)
158 | (71.7106781187,72.7106781187),(-69.7106781187,-68.7106781187)
159 | (4.53553390593,6.53553390593),(-2.53553390593,-0.535533905933)
160 | (3.12132034356,4.12132034356),(-1.12132034356,-0.12132034356)
161 | (107.071067812,207.071067812),(92.9289321881,192.928932188)
162 | (181.317279836,82.3172798365),(18.6827201635,-80.3172798365)
163 (6 rows)
165 -- translation
166 SELECT '' AS twentyfour, b.f1 + p.f1 AS translation
167 FROM BOX_TBL b, POINT_TBL p;
168 twentyfour | translation
169 ------------+-------------------------
170 | (2,2),(0,0)
171 | (3,3),(1,1)
172 | (2.5,3.5),(2.5,2.5)
173 | (3,3),(3,3)
174 | (-8,2),(-10,0)
175 | (-7,3),(-9,1)
176 | (-7.5,3.5),(-7.5,2.5)
177 | (-7,3),(-7,3)
178 | (-1,6),(-3,4)
179 | (0,7),(-2,5)
180 | (-0.5,7.5),(-0.5,6.5)
181 | (0,7),(0,7)
182 | (7.1,36.5),(5.1,34.5)
183 | (8.1,37.5),(6.1,35.5)
184 | (7.6,38),(7.6,37)
185 | (8.1,37.5),(8.1,37.5)
186 | (-3,-10),(-5,-12)
187 | (-2,-9),(-4,-11)
188 | (-2.5,-8.5),(-2.5,-9.5)
189 | (-2,-9),(-2,-9)
190 | (12,12),(10,10)
191 | (13,13),(11,11)
192 | (12.5,13.5),(12.5,12.5)
193 | (13,13),(13,13)
194 (24 rows)
196 SELECT '' AS twentyfour, b.f1 - p.f1 AS translation
197 FROM BOX_TBL b, POINT_TBL p;
198 twentyfour | translation
199 ------------+---------------------------
200 | (2,2),(0,0)
201 | (3,3),(1,1)
202 | (2.5,3.5),(2.5,2.5)
203 | (3,3),(3,3)
204 | (12,2),(10,0)
205 | (13,3),(11,1)
206 | (12.5,3.5),(12.5,2.5)
207 | (13,3),(13,3)
208 | (5,-2),(3,-4)
209 | (6,-1),(4,-3)
210 | (5.5,-0.5),(5.5,-1.5)
211 | (6,-1),(6,-1)
212 | (-3.1,-32.5),(-5.1,-34.5)
213 | (-2.1,-31.5),(-4.1,-33.5)
214 | (-2.6,-31),(-2.6,-32)
215 | (-2.1,-31.5),(-2.1,-31.5)
216 | (7,14),(5,12)
217 | (8,15),(6,13)
218 | (7.5,15.5),(7.5,14.5)
219 | (8,15),(8,15)
220 | (-8,-8),(-10,-10)
221 | (-7,-7),(-9,-9)
222 | (-7.5,-6.5),(-7.5,-7.5)
223 | (-7,-7),(-7,-7)
224 (24 rows)
226 -- scaling and rotation
227 SELECT '' AS twentyfour, b.f1 * p.f1 AS rotation
228 FROM BOX_TBL b, POINT_TBL p;
229 twentyfour | rotation
230 ------------+-----------------------------
231 | (0,0),(0,0)
232 | (0,0),(0,0)
233 | (0,0),(0,0)
234 | (0,0),(0,0)
235 | (0,0),(-20,-20)
236 | (-10,-10),(-30,-30)
237 | (-25,-25),(-25,-35)
238 | (-30,-30),(-30,-30)
239 | (0,2),(-14,0)
240 | (-7,3),(-21,1)
241 | (-17.5,2.5),(-21.5,-0.5)
242 | (-21,3),(-21,3)
243 | (0,79.2),(-58.8,0)
244 | (-29.4,118.8),(-88.2,39.6)
245 | (-73.5,104.1),(-108,99)
246 | (-88.2,118.8),(-88.2,118.8)
247 | (14,0),(0,-34)
248 | (21,-17),(7,-51)
249 | (29.5,-42.5),(17.5,-47.5)
250 | (21,-51),(21,-51)
251 | (0,40),(0,0)
252 | (0,60),(0,20)
253 | (0,60),(-10,50)
254 | (0,60),(0,60)
255 (24 rows)
257 SELECT '' AS twenty, b.f1 / p.f1 AS rotation
258 FROM BOX_TBL b, POINT_TBL p
259 WHERE (p.f1 <-> point '(0,0)') >= 1;
260 twenty | rotation
261 --------+----------------------------------------------------------------------
262 | (0,0),(-0.2,-0.2)
263 | (-0.1,-0.1),(-0.3,-0.3)
264 | (-0.25,-0.25),(-0.25,-0.35)
265 | (-0.3,-0.3),(-0.3,-0.3)
266 | (0.08,0),(0,-0.56)
267 | (0.12,-0.28),(0.04,-0.84)
268 | (0.26,-0.7),(0.1,-0.82)
269 | (0.12,-0.84),(0.12,-0.84)
270 | (0.0651176557644,0),(0,-0.0483449262493)
271 | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
272 | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
273 | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
274 | (0,0.0828402366864),(-0.201183431953,0)
275 | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
276 | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
277 | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
278 | (0.2,0),(0,0)
279 | (0.3,0),(0.1,0)
280 | (0.3,0.05),(0.25,0)
281 | (0.3,0),(0.3,0)
282 (20 rows)
284 --
285 -- Paths
286 --
287 SELECT '' AS eight, npoints(f1) AS npoints, f1 AS path FROM PATH_TBL;
288 eight | npoints | path
289 -------+---------+---------------------------
290 | 2 | [(1,2),(3,4)]
291 | 2 | ((1,2),(3,4))
292 | 4 | [(0,0),(3,0),(4,5),(1,6)]
293 | 2 | ((1,2),(3,4))
294 | 2 | ((1,2),(3,4))
295 | 2 | [(1,2),(3,4)]
296 | 2 | [(11,12),(13,14)]
297 | 2 | ((11,12),(13,14))
298 (8 rows)
300 SELECT '' AS four, path(f1) FROM POLYGON_TBL;
301 four | path
302 ------+---------------------
303 | ((2,0),(2,4),(0,0))
304 | ((3,1),(3,3),(1,0))
305 | ((0,0))
306 | ((0,1),(0,1))
307 (4 rows)
309 -- translation
310 SELECT '' AS eight, p1.f1 + point '(10,10)' AS dist_add
311 FROM PATH_TBL p1;
312 eight | dist_add
313 -------+-----------------------------------
314 | [(11,12),(13,14)]
315 | ((11,12),(13,14))
316 | [(10,10),(13,10),(14,15),(11,16)]
317 | ((11,12),(13,14))
318 | ((11,12),(13,14))
319 | [(11,12),(13,14)]
320 | [(21,22),(23,24)]
321 | ((21,22),(23,24))
322 (8 rows)
324 -- scaling and rotation
325 SELECT '' AS eight, p1.f1 * point '(2,-1)' AS dist_mul
326 FROM PATH_TBL p1;
327 eight | dist_mul
328 -------+------------------------------
329 | [(4,3),(10,5)]
330 | ((4,3),(10,5))
331 | [(0,0),(6,-3),(13,6),(8,11)]
332 | ((4,3),(10,5))
333 | ((4,3),(10,5))
334 | [(4,3),(10,5)]
335 | [(34,13),(40,15)]
336 | ((34,13),(40,15))
337 (8 rows)
339 --
340 -- Polygons
341 --
342 -- containment
343 SELECT '' AS twentyfour, p.f1, poly.f1, poly.f1 @> p.f1 AS contains
344 FROM POLYGON_TBL poly, POINT_TBL p;
345 twentyfour | f1 | f1 | contains
346 ------------+------------+---------------------+----------
347 | (0,0) | ((2,0),(2,4),(0,0)) | t
348 | (0,0) | ((3,1),(3,3),(1,0)) | f
349 | (0,0) | ((0,0)) | t
350 | (0,0) | ((0,1),(0,1)) | f
351 | (-10,0) | ((2,0),(2,4),(0,0)) | f
352 | (-10,0) | ((3,1),(3,3),(1,0)) | f
353 | (-10,0) | ((0,0)) | f
354 | (-10,0) | ((0,1),(0,1)) | f
355 | (-3,4) | ((2,0),(2,4),(0,0)) | f
356 | (-3,4) | ((3,1),(3,3),(1,0)) | f
357 | (-3,4) | ((0,0)) | f
358 | (-3,4) | ((0,1),(0,1)) | f
359 | (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
360 | (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
361 | (5.1,34.5) | ((0,0)) | f
362 | (5.1,34.5) | ((0,1),(0,1)) | f
363 | (-5,-12) | ((2,0),(2,4),(0,0)) | f
364 | (-5,-12) | ((3,1),(3,3),(1,0)) | f
365 | (-5,-12) | ((0,0)) | f
366 | (-5,-12) | ((0,1),(0,1)) | f
367 | (10,10) | ((2,0),(2,4),(0,0)) | f
368 | (10,10) | ((3,1),(3,3),(1,0)) | f
369 | (10,10) | ((0,0)) | f
370 | (10,10) | ((0,1),(0,1)) | f
371 (24 rows)
373 SELECT '' AS twentyfour, p.f1, poly.f1, p.f1 <@ poly.f1 AS contained
374 FROM POLYGON_TBL poly, POINT_TBL p;
375 twentyfour | f1 | f1 | contained
376 ------------+------------+---------------------+-----------
377 | (0,0) | ((2,0),(2,4),(0,0)) | t
378 | (0,0) | ((3,1),(3,3),(1,0)) | f
379 | (0,0) | ((0,0)) | t
380 | (0,0) | ((0,1),(0,1)) | f
381 | (-10,0) | ((2,0),(2,4),(0,0)) | f
382 | (-10,0) | ((3,1),(3,3),(1,0)) | f
383 | (-10,0) | ((0,0)) | f
384 | (-10,0) | ((0,1),(0,1)) | f
385 | (-3,4) | ((2,0),(2,4),(0,0)) | f
386 | (-3,4) | ((3,1),(3,3),(1,0)) | f
387 | (-3,4) | ((0,0)) | f
388 | (-3,4) | ((0,1),(0,1)) | f
389 | (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
390 | (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
391 | (5.1,34.5) | ((0,0)) | f
392 | (5.1,34.5) | ((0,1),(0,1)) | f
393 | (-5,-12) | ((2,0),(2,4),(0,0)) | f
394 | (-5,-12) | ((3,1),(3,3),(1,0)) | f
395 | (-5,-12) | ((0,0)) | f
396 | (-5,-12) | ((0,1),(0,1)) | f
397 | (10,10) | ((2,0),(2,4),(0,0)) | f
398 | (10,10) | ((3,1),(3,3),(1,0)) | f
399 | (10,10) | ((0,0)) | f
400 | (10,10) | ((0,1),(0,1)) | f
401 (24 rows)
403 SELECT '' AS four, npoints(f1) AS npoints, f1 AS polygon
404 FROM POLYGON_TBL;
405 four | npoints | polygon
406 ------+---------+---------------------
407 | 3 | ((2,0),(2,4),(0,0))
408 | 3 | ((3,1),(3,3),(1,0))
409 | 1 | ((0,0))
410 | 2 | ((0,1),(0,1))
411 (4 rows)
413 SELECT '' AS four, polygon(f1)
414 FROM BOX_TBL;
415 four | polygon
416 ------+-------------------------------------------
417 | ((0,0),(0,2),(2,2),(2,0))
418 | ((1,1),(1,3),(3,3),(3,1))
419 | ((2.5,2.5),(2.5,3.5),(2.5,3.5),(2.5,2.5))
420 | ((3,3),(3,3),(3,3),(3,3))
421 (4 rows)
423 SELECT '' AS four, polygon(f1)
424 FROM PATH_TBL WHERE isclosed(f1);
425 four | polygon
426 ------+-------------------
427 | ((1,2),(3,4))
428 | ((1,2),(3,4))
429 | ((1,2),(3,4))
430 | ((11,12),(13,14))
431 (4 rows)
433 SELECT '' AS four, f1 AS open_path, polygon( pclose(f1)) AS polygon
434 FROM PATH_TBL
435 WHERE isopen(f1);
436 four | open_path | polygon
437 ------+---------------------------+---------------------------
438 | [(1,2),(3,4)] | ((1,2),(3,4))
439 | [(0,0),(3,0),(4,5),(1,6)] | ((0,0),(3,0),(4,5),(1,6))
440 | [(1,2),(3,4)] | ((1,2),(3,4))
441 | [(11,12),(13,14)] | ((11,12),(13,14))
442 (4 rows)
444 -- convert circles to polygons using the default number of points
445 SELECT '' AS six, polygon(f1)
446 FROM CIRCLE_TBL;
447 six | polygon
448 -----+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
449 | ((2,1),(2.40192378865,2.5),(3.5,3.59807621135),(5,4),(6.5,3.59807621135),(7.59807621135,2.5),(8,1),(7.59807621135,-0.5),(6.5,-1.59807621135),(5,-2),(3.5,-1.59807621135),(2.40192378865,-0.5))
450 | ((-99,2),(-85.6025403784,52),(-49,88.6025403784),(1,102),(51,88.6025403784),(87.6025403784,52),(101,2),(87.6025403784,-48),(51,-84.6025403784),(1,-98),(-49,-84.6025403784),(-85.6025403784,-48))
451 | ((-4,3),(-3.33012701892,5.5),(-1.5,7.33012701892),(1,8),(3.5,7.33012701892),(5.33012701892,5.5),(6,3),(5.33012701892,0.5),(3.5,-1.33012701892),(1,-2),(-1.5,-1.33012701892),(-3.33012701892,0.5))
452 | ((-2,2),(-1.59807621135,3.5),(-0.5,4.59807621135),(1,5),(2.5,4.59807621135),(3.59807621135,3.5),(4,2),(3.59807621135,0.5),(2.5,-0.598076211353),(1,-1),(-0.5,-0.598076211353),(-1.59807621135,0.5))
453 | ((90,200),(91.3397459622,205),(95,208.660254038),(100,210),(105,208.660254038),(108.660254038,205),(110,200),(108.660254038,195),(105,191.339745962),(100,190),(95,191.339745962),(91.3397459622,195))
454 | ((-15,1),(0.40707856479,58.5),(42.5,100.592921435),(100,116),(157.5,100.592921435),(199.592921435,58.5),(215,1),(199.592921435,-56.5),(157.5,-98.5929214352),(100,-114),(42.5,-98.5929214352),(0.40707856479,-56.5))
455 (6 rows)
457 -- convert the circle to an 8-point polygon
458 SELECT '' AS six, polygon(8, f1)
459 FROM CIRCLE_TBL;
460 six | polygon
461 -----+------------------------------------------------------------------------------------------------------------------------------------------------------------------
462 | ((2,1),(2.87867965644,3.12132034356),(5,4),(7.12132034356,3.12132034356),(8,1),(7.12132034356,-1.12132034356),(5,-2),(2.87867965644,-1.12132034356))
463 | ((-99,2),(-69.7106781187,72.7106781187),(1,102),(71.7106781187,72.7106781187),(101,2),(71.7106781187,-68.7106781187),(1,-98),(-69.7106781187,-68.7106781187))
464 | ((-4,3),(-2.53553390593,6.53553390593),(1,8),(4.53553390593,6.53553390593),(6,3),(4.53553390593,-0.535533905933),(1,-2),(-2.53553390593,-0.535533905933))
465 | ((-2,2),(-1.12132034356,4.12132034356),(1,5),(3.12132034356,4.12132034356),(4,2),(3.12132034356,-0.12132034356),(1,-1),(-1.12132034356,-0.12132034356))
466 | ((90,200),(92.9289321881,207.071067812),(100,210),(107.071067812,207.071067812),(110,200),(107.071067812,192.928932188),(100,190),(92.9289321881,192.928932188))
467 | ((-15,1),(18.6827201635,82.3172798365),(100,116),(181.317279836,82.3172798365),(215,1),(181.317279836,-80.3172798365),(100,-114),(18.6827201635,-80.3172798365))
468 (6 rows)
470 --
471 -- Circles
472 --
473 SELECT '' AS six, circle(f1, 50.0)
474 FROM POINT_TBL;
475 six | circle
476 -----+-----------------
477 | <(0,0),50>
478 | <(-10,0),50>
479 | <(-3,4),50>
480 | <(5.1,34.5),50>
481 | <(-5,-12),50>
482 | <(10,10),50>
483 (6 rows)
485 SELECT '' AS four, circle(f1)
486 FROM BOX_TBL;
487 four | circle
488 ------+-----------------------
489 | <(1,1),1.41421356237>
490 | <(2,2),1.41421356237>
491 | <(2.5,3),0.5>
492 | <(3,3),0>
493 (4 rows)
495 SELECT '' AS two, circle(f1)
496 FROM POLYGON_TBL
497 WHERE (# f1) >= 3;
498 two | circle
499 -----+-----------------------------------------------
500 | <(1.33333333333,1.33333333333),2.04168905064>
501 | <(2.33333333333,1.33333333333),1.47534300379>
502 (2 rows)
504 SELECT '' AS twentyfour, c1.f1 AS circle, p1.f1 AS point, (p1.f1 <-> c1.f1) AS distance
505 FROM CIRCLE_TBL c1, POINT_TBL p1
506 WHERE (p1.f1 <-> c1.f1) > 0
507 ORDER BY distance, area(c1.f1), p1.f1[0];
508 twentyfour | circle | point | distance
509 ------------+----------------+------------+---------------
510 | <(1,2),3> | (-3,4) | 1.472135955
511 | <(5,1),3> | (0,0) | 2.09901951359
512 | <(5,1),3> | (-3,4) | 5.54400374532
513 | <(1,3),5> | (-10,0) | 6.40175425099
514 | <(1,3),5> | (10,10) | 6.40175425099
515 | <(5,1),3> | (10,10) | 7.29563014099
516 | <(1,2),3> | (-10,0) | 8.1803398875
517 | <(1,2),3> | (10,10) | 9.04159457879
518 | <(1,3),5> | (-5,-12) | 11.1554944214
519 | <(5,1),3> | (-10,0) | 12.0332963784
520 | <(1,2),3> | (-5,-12) | 12.2315462117
521 | <(5,1),3> | (-5,-12) | 13.4012194669
522 | <(1,3),5> | (5.1,34.5) | 26.7657047773
523 | <(1,2),3> | (5.1,34.5) | 29.7575945393
524 | <(5,1),3> | (5.1,34.5) | 30.5001492534
525 | <(100,200),10> | (5.1,34.5) | 180.778038568
526 | <(100,200),10> | (10,10) | 200.237960416
527 | <(100,200),10> | (-3,4) | 211.415898255
528 | <(100,200),10> | (0,0) | 213.60679775
529 | <(100,200),10> | (-10,0) | 218.25424421
530 | <(100,200),10> | (-5,-12) | 226.577682802
531 (21 rows)