4
-- Back off displayed precision a little bit to reduce platform-to-platform
5
-- variation in results.
6
SET extra_float_digits TO -3;
10
SELECT '' AS four, center(f1) AS center
20
SELECT '' AS four, (@@ f1) AS center
30
SELECT '' AS six, point(f1) AS center
42
SELECT '' AS six, (@@ f1) AS center
54
SELECT '' AS two, (@@ f1) AS center
58
-----+-------------------------------
59
| (1.33333333333,1.33333333333)
60
| (2.33333333333,1.33333333333)
63
-- "is horizontal" function
64
SELECT '' AS two, p1.f1
66
WHERE ishorizontal(p1.f1, point '(0,0)');
73
-- "is horizontal" operator
74
SELECT '' AS two, p1.f1
76
WHERE p1.f1 ?- point '(0,0)';
83
-- "is vertical" function
84
SELECT '' AS one, p1.f1
86
WHERE isvertical(p1.f1, point '(5.1,34.5)');
92
-- "is vertical" operator
93
SELECT '' AS one, p1.f1
95
WHERE p1.f1 ?| point '(5.1,34.5)';
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
HINT: No operator matches the given name and argument type(s). You may need to add explicit type casts.
110
SELECT '' AS thirty, p.f1, l.s, p.f1 ## l.s AS closest
111
FROM LSEG_TBL l, POINT_TBL p;
112
thirty | f1 | s | closest
113
--------+------------+-------------------------------+----------------------------------
114
| (0,0) | [(1,2),(3,4)] | (1,2)
115
| (0,0) | [(0,0),(6,6)] | (0,0)
116
| (0,0) | [(10,-10),(-3,-4)] | (-2.0487804878,-4.43902439024)
117
| (0,0) | [(-1000000,200),(300000,-40)] | (0.00284023658959,15.3846148603)
118
| (0,0) | [(11,22),(33,44)] | (11,22)
119
| (-10,0) | [(1,2),(3,4)] | (1,2)
120
| (-10,0) | [(0,0),(6,6)] | (0,0)
121
| (-10,0) | [(10,-10),(-3,-4)] | (-3,-4)
122
| (-10,0) | [(-1000000,200),(300000,-40)] | (-9.99715942258,15.386461014)
123
| (-10,0) | [(11,22),(33,44)] | (11,22)
124
| (-3,4) | [(1,2),(3,4)] | (1,2)
125
| (-3,4) | [(0,0),(6,6)] | (0.5,0.5)
126
| (-3,4) | [(10,-10),(-3,-4)] | (-3,-4)
127
| (-3,4) | [(-1000000,200),(300000,-40)] | (-2.99789812268,15.3851688427)
128
| (-3,4) | [(11,22),(33,44)] | (11,22)
129
| (5.1,34.5) | [(1,2),(3,4)] | (3,4)
130
| (5.1,34.5) | [(0,0),(6,6)] | (6,6)
131
| (5.1,34.5) | [(10,-10),(-3,-4)] | (-3,-4)
132
| (5.1,34.5) | [(-1000000,200),(300000,-40)] | (5.09647083221,15.3836744977)
133
| (5.1,34.5) | [(11,22),(33,44)] | (14.3,25.3)
134
| (-5,-12) | [(1,2),(3,4)] | (1,2)
135
| (-5,-12) | [(0,0),(6,6)] | (0,0)
136
| (-5,-12) | [(10,-10),(-3,-4)] | (-1.60487804878,-4.64390243902)
137
| (-5,-12) | [(-1000000,200),(300000,-40)] | (-4.99494420846,15.3855375282)
138
| (-5,-12) | [(11,22),(33,44)] | (11,22)
139
| (10,10) | [(1,2),(3,4)] | (3,4)
140
| (10,10) | [(0,0),(6,6)] | (6,6)
141
| (10,10) | [(10,-10),(-3,-4)] | (2.39024390244,-6.48780487805)
142
| (10,10) | [(-1000000,200),(300000,-40)] | (10.000993742,15.3827690473)
143
| (10,10) | [(11,22),(33,44)] | (11,22)
152
SELECT '' as six, box(f1) AS box FROM CIRCLE_TBL;
154
-----+----------------------------------------------------------------
155
| (7.12132034356,3.12132034356),(2.87867965644,-1.12132034356)
156
| (71.7106781187,72.7106781187),(-69.7106781187,-68.7106781187)
157
| (4.53553390593,6.53553390593),(-2.53553390593,-0.535533905933)
158
| (3.12132034356,4.12132034356),(-1.12132034356,-0.12132034356)
159
| (107.071067812,207.071067812),(92.9289321881,192.928932188)
160
| (181.317279836,82.3172798365),(18.6827201635,-80.3172798365)
164
SELECT '' AS twentyfour, b.f1 + p.f1 AS translation
165
FROM BOX_TBL b, POINT_TBL p;
166
twentyfour | translation
167
------------+-------------------------
170
| (2.5,3.5),(2.5,2.5)
174
| (-7.5,3.5),(-7.5,2.5)
178
| (-0.5,7.5),(-0.5,6.5)
180
| (7.1,36.5),(5.1,34.5)
181
| (8.1,37.5),(6.1,35.5)
183
| (8.1,37.5),(8.1,37.5)
186
| (-2.5,-8.5),(-2.5,-9.5)
190
| (12.5,13.5),(12.5,12.5)
194
SELECT '' AS twentyfour, b.f1 - p.f1 AS translation
195
FROM BOX_TBL b, POINT_TBL p;
196
twentyfour | translation
197
------------+---------------------------
200
| (2.5,3.5),(2.5,2.5)
204
| (12.5,3.5),(12.5,2.5)
208
| (5.5,-0.5),(5.5,-1.5)
210
| (-3.1,-32.5),(-5.1,-34.5)
211
| (-2.1,-31.5),(-4.1,-33.5)
212
| (-2.6,-31),(-2.6,-32)
213
| (-2.1,-31.5),(-2.1,-31.5)
216
| (7.5,15.5),(7.5,14.5)
220
| (-7.5,-6.5),(-7.5,-7.5)
224
-- scaling and rotation
225
SELECT '' AS twentyfour, b.f1 * p.f1 AS rotation
226
FROM BOX_TBL b, POINT_TBL p;
227
twentyfour | rotation
228
------------+-----------------------------
234
| (-10,-10),(-30,-30)
235
| (-25,-25),(-25,-35)
236
| (-30,-30),(-30,-30)
239
| (-17.5,2.5),(-21.5,-0.5)
242
| (-29.4,118.8),(-88.2,39.6)
243
| (-73.5,104.1),(-108,99)
244
| (-88.2,118.8),(-88.2,118.8)
247
| (29.5,-42.5),(17.5,-47.5)
255
SELECT '' AS twenty, b.f1 / p.f1 AS rotation
256
FROM BOX_TBL b, POINT_TBL p
257
WHERE (p.f1 <-> point '(0,0)') >= 1;
259
--------+----------------------------------------------------------------------
261
| (0.08,-0),(0,-0.56)
262
| (0.0651176557644,0),(0,-0.0483449262493)
263
| (-0,0.0828402366864),(-0.201183431953,0)
265
| (-0.1,-0.1),(-0.3,-0.3)
266
| (0.12,-0.28),(0.04,-0.84)
267
| (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
268
| (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
270
| (-0.25,-0.25),(-0.25,-0.35)
271
| (0.26,-0.7),(0.1,-0.82)
272
| (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
273
| (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
274
| (0.3,0.05),(0.25,0)
275
| (-0.3,-0.3),(-0.3,-0.3)
276
| (0.12,-0.84),(0.12,-0.84)
277
| (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
278
| (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
286
SELECT '' AS eight, npoints(f1) AS npoints, f1 AS path FROM PATH_TBL;
287
eight | npoints | path
288
-------+---------+---------------------------
291
| 4 | [(0,0),(3,0),(4,5),(1,6)]
295
| 2 | [(11,12),(13,14)]
296
| 2 | ((11,12),(13,14))
299
SELECT '' AS four, path(f1) FROM POLYGON_TBL;
301
------+---------------------
302
| ((2,0),(2,4),(0,0))
303
| ((3,1),(3,3),(1,0))
309
SELECT '' AS eight, p1.f1 + point '(10,10)' AS dist_add
312
-------+-----------------------------------
315
| [(10,10),(13,10),(14,15),(11,16)]
323
-- scaling and rotation
324
SELECT '' AS eight, p1.f1 * point '(2,-1)' AS dist_mul
327
-------+------------------------------
330
| [(0,0),(6,-3),(13,6),(8,11)]
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
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
403
SELECT '' AS four, npoints(f1) AS npoints, f1 AS polygon
405
four | npoints | polygon
406
------+---------+---------------------
407
| 3 | ((2,0),(2,4),(0,0))
408
| 3 | ((3,1),(3,3),(1,0))
413
SELECT '' AS four, polygon(f1)
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))
423
SELECT '' AS four, polygon(f1)
424
FROM PATH_TBL WHERE isclosed(f1);
426
------+-------------------
433
SELECT '' AS four, f1 AS open_path, polygon( pclose(f1)) AS polygon
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))
444
-- convert circles to polygons using the default number of points
445
SELECT '' AS six, polygon(f1)
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))
457
-- convert the circle to an 8-point polygon
458
SELECT '' AS six, polygon(8, f1)
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))
473
SELECT '' AS six, circle(f1, 50.0)
476
-----+-----------------
485
SELECT '' AS four, circle(f1)
488
------+-----------------------
489
| <(1,1),1.41421356237>
490
| <(2,2),1.41421356237>
495
SELECT '' AS two, circle(f1)
499
-----+-----------------------------------------------
500
| <(1.33333333333,1.33333333333),2.04168905064>
501
| <(2.33333333333,1.33333333333),1.47534300379>
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, circle using <, point using <<;
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