1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
|
--
-- POINT
--
-- avoid bit-exact output here because operations may not be bit-exact.
SET extra_float_digits = 0;
CREATE TABLE POINT_TBL(f1 point);
INSERT INTO POINT_TBL(f1) VALUES ('(0.0,0.0)');
INSERT INTO POINT_TBL(f1) VALUES ('(-10.0,0.0)');
INSERT INTO POINT_TBL(f1) VALUES ('(-3.0,4.0)');
INSERT INTO POINT_TBL(f1) VALUES ('(5.1, 34.5)');
INSERT INTO POINT_TBL(f1) VALUES ('(-5.0,-12.0)');
INSERT INTO POINT_TBL(f1) VALUES ('(1e-300,-1e-300)'); -- To underflow
INSERT INTO POINT_TBL(f1) VALUES ('(1e+300,Inf)'); -- To overflow
INSERT INTO POINT_TBL(f1) VALUES (' ( Nan , NaN ) ');
-- bad format points
INSERT INTO POINT_TBL(f1) VALUES ('asdfasdf');
ERROR: invalid input syntax for type point: "asdfasdf"
LINE 1: INSERT INTO POINT_TBL(f1) VALUES ('asdfasdf');
^
INSERT INTO POINT_TBL(f1) VALUES ('10.0,10.0');
INSERT INTO POINT_TBL(f1) VALUES ('(10.0 10.0)');
ERROR: invalid input syntax for type point: "(10.0 10.0)"
LINE 1: INSERT INTO POINT_TBL(f1) VALUES ('(10.0 10.0)');
^
INSERT INTO POINT_TBL(f1) VALUES ('(10.0, 10.0) x');
ERROR: invalid input syntax for type point: "(10.0, 10.0) x"
LINE 1: INSERT INTO POINT_TBL(f1) VALUES ('(10.0, 10.0) x');
^
INSERT INTO POINT_TBL(f1) VALUES ('(10.0,10.0');
ERROR: invalid input syntax for type point: "(10.0,10.0"
LINE 1: INSERT INTO POINT_TBL(f1) VALUES ('(10.0,10.0');
^
INSERT INTO POINT_TBL(f1) VALUES ('(10.0, 1e+500)'); -- Out of range
ERROR: "1e+500" is out of range for type double precision
LINE 1: INSERT INTO POINT_TBL(f1) VALUES ('(10.0, 1e+500)');
^
SELECT '' AS six, * FROM POINT_TBL;
six | f1
-----+-------------------
| (0,0)
| (-10,0)
| (-3,4)
| (5.1,34.5)
| (-5,-12)
| (1e-300,-1e-300)
| (1e+300,Infinity)
| (NaN,NaN)
| (10,10)
(9 rows)
-- left of
SELECT '' AS three, p.* FROM POINT_TBL p WHERE p.f1 << '(0.0, 0.0)';
three | f1
-------+----------
| (-10,0)
| (-3,4)
| (-5,-12)
(3 rows)
-- right of
SELECT '' AS three, p.* FROM POINT_TBL p WHERE '(0.0,0.0)' >> p.f1;
three | f1
-------+----------
| (-10,0)
| (-3,4)
| (-5,-12)
(3 rows)
-- above
SELECT '' AS one, p.* FROM POINT_TBL p WHERE '(0.0,0.0)' >^ p.f1;
one | f1
-----+----------
| (-5,-12)
(1 row)
-- below
SELECT '' AS one, p.* FROM POINT_TBL p WHERE p.f1 <^ '(0.0, 0.0)';
one | f1
-----+----------
| (-5,-12)
(1 row)
-- equal
SELECT '' AS one, p.* FROM POINT_TBL p WHERE p.f1 ~= '(5.1, 34.5)';
one | f1
-----+------------
| (5.1,34.5)
(1 row)
-- point in box
SELECT '' AS three, p.* FROM POINT_TBL p
WHERE p.f1 <@ box '(0,0,100,100)';
three | f1
-------+------------
| (0,0)
| (5.1,34.5)
| (10,10)
(3 rows)
SELECT '' AS three, p.* FROM POINT_TBL p
WHERE box '(0,0,100,100)' @> p.f1;
three | f1
-------+------------
| (0,0)
| (5.1,34.5)
| (10,10)
(3 rows)
SELECT '' AS three, p.* FROM POINT_TBL p
WHERE not p.f1 <@ box '(0,0,100,100)';
three | f1
-------+-------------------
| (-10,0)
| (-3,4)
| (-5,-12)
| (1e-300,-1e-300)
| (1e+300,Infinity)
| (NaN,NaN)
(6 rows)
SELECT '' AS two, p.* FROM POINT_TBL p
WHERE p.f1 <@ path '[(0,0),(-10,0),(-10,10)]';
two | f1
-----+------------------
| (0,0)
| (-10,0)
| (1e-300,-1e-300)
(3 rows)
SELECT '' AS three, p.* FROM POINT_TBL p
WHERE not box '(0,0,100,100)' @> p.f1;
three | f1
-------+-------------------
| (-10,0)
| (-3,4)
| (-5,-12)
| (1e-300,-1e-300)
| (1e+300,Infinity)
| (NaN,NaN)
(6 rows)
SELECT '' AS six, p.f1, p.f1 <-> point '(0,0)' AS dist
FROM POINT_TBL p
ORDER BY dist;
six | f1 | dist
-----+-------------------+----------------------
| (0,0) | 0
| (1e-300,-1e-300) | 1.4142135623731e-300
| (-3,4) | 5
| (-10,0) | 10
| (-5,-12) | 13
| (10,10) | 14.142135623731
| (5.1,34.5) | 34.8749193547455
| (1e+300,Infinity) | Infinity
| (NaN,NaN) | NaN
(9 rows)
SELECT '' AS thirtysix, p1.f1 AS point1, p2.f1 AS point2, p1.f1 <-> p2.f1 AS dist
FROM POINT_TBL p1, POINT_TBL p2
ORDER BY dist, p1.f1[0], p2.f1[0];
thirtysix | point1 | point2 | dist
-----------+-------------------+-------------------+----------------------
| (-10,0) | (-10,0) | 0
| (-5,-12) | (-5,-12) | 0
| (-3,4) | (-3,4) | 0
| (0,0) | (0,0) | 0
| (1e-300,-1e-300) | (1e-300,-1e-300) | 0
| (5.1,34.5) | (5.1,34.5) | 0
| (10,10) | (10,10) | 0
| (0,0) | (1e-300,-1e-300) | 1.4142135623731e-300
| (1e-300,-1e-300) | (0,0) | 1.4142135623731e-300
| (-3,4) | (0,0) | 5
| (-3,4) | (1e-300,-1e-300) | 5
| (0,0) | (-3,4) | 5
| (1e-300,-1e-300) | (-3,4) | 5
| (-10,0) | (-3,4) | 8.06225774829855
| (-3,4) | (-10,0) | 8.06225774829855
| (-10,0) | (0,0) | 10
| (-10,0) | (1e-300,-1e-300) | 10
| (0,0) | (-10,0) | 10
| (1e-300,-1e-300) | (-10,0) | 10
| (-10,0) | (-5,-12) | 13
| (-5,-12) | (-10,0) | 13
| (-5,-12) | (0,0) | 13
| (-5,-12) | (1e-300,-1e-300) | 13
| (0,0) | (-5,-12) | 13
| (1e-300,-1e-300) | (-5,-12) | 13
| (0,0) | (10,10) | 14.142135623731
| (1e-300,-1e-300) | (10,10) | 14.142135623731
| (10,10) | (0,0) | 14.142135623731
| (10,10) | (1e-300,-1e-300) | 14.142135623731
| (-3,4) | (10,10) | 14.3178210632764
| (10,10) | (-3,4) | 14.3178210632764
| (-5,-12) | (-3,4) | 16.1245154965971
| (-3,4) | (-5,-12) | 16.1245154965971
| (-10,0) | (10,10) | 22.3606797749979
| (10,10) | (-10,0) | 22.3606797749979
| (5.1,34.5) | (10,10) | 24.9851956166046
| (10,10) | (5.1,34.5) | 24.9851956166046
| (-5,-12) | (10,10) | 26.6270539113887
| (10,10) | (-5,-12) | 26.6270539113887
| (-3,4) | (5.1,34.5) | 31.5572495632937
| (5.1,34.5) | (-3,4) | 31.5572495632937
| (0,0) | (5.1,34.5) | 34.8749193547455
| (1e-300,-1e-300) | (5.1,34.5) | 34.8749193547455
| (5.1,34.5) | (0,0) | 34.8749193547455
| (5.1,34.5) | (1e-300,-1e-300) | 34.8749193547455
| (-10,0) | (5.1,34.5) | 37.6597928831267
| (5.1,34.5) | (-10,0) | 37.6597928831267
| (-5,-12) | (5.1,34.5) | 47.5842410888311
| (5.1,34.5) | (-5,-12) | 47.5842410888311
| (-10,0) | (1e+300,Infinity) | Infinity
| (-5,-12) | (1e+300,Infinity) | Infinity
| (-3,4) | (1e+300,Infinity) | Infinity
| (0,0) | (1e+300,Infinity) | Infinity
| (1e-300,-1e-300) | (1e+300,Infinity) | Infinity
| (5.1,34.5) | (1e+300,Infinity) | Infinity
| (10,10) | (1e+300,Infinity) | Infinity
| (1e+300,Infinity) | (-10,0) | Infinity
| (1e+300,Infinity) | (-5,-12) | Infinity
| (1e+300,Infinity) | (-3,4) | Infinity
| (1e+300,Infinity) | (0,0) | Infinity
| (1e+300,Infinity) | (1e-300,-1e-300) | Infinity
| (1e+300,Infinity) | (5.1,34.5) | Infinity
| (1e+300,Infinity) | (10,10) | Infinity
| (-10,0) | (NaN,NaN) | NaN
| (-5,-12) | (NaN,NaN) | NaN
| (-3,4) | (NaN,NaN) | NaN
| (0,0) | (NaN,NaN) | NaN
| (1e-300,-1e-300) | (NaN,NaN) | NaN
| (5.1,34.5) | (NaN,NaN) | NaN
| (10,10) | (NaN,NaN) | NaN
| (1e+300,Infinity) | (1e+300,Infinity) | NaN
| (1e+300,Infinity) | (NaN,NaN) | NaN
| (NaN,NaN) | (-10,0) | NaN
| (NaN,NaN) | (-5,-12) | NaN
| (NaN,NaN) | (-3,4) | NaN
| (NaN,NaN) | (0,0) | NaN
| (NaN,NaN) | (1e-300,-1e-300) | NaN
| (NaN,NaN) | (5.1,34.5) | NaN
| (NaN,NaN) | (10,10) | NaN
| (NaN,NaN) | (1e+300,Infinity) | NaN
| (NaN,NaN) | (NaN,NaN) | NaN
(81 rows)
SELECT '' AS thirty, p1.f1 AS point1, p2.f1 AS point2
FROM POINT_TBL p1, POINT_TBL p2
WHERE (p1.f1 <-> p2.f1) > 3;
thirty | point1 | point2
--------+-------------------+-------------------
| (0,0) | (-10,0)
| (0,0) | (-3,4)
| (0,0) | (5.1,34.5)
| (0,0) | (-5,-12)
| (0,0) | (1e+300,Infinity)
| (0,0) | (NaN,NaN)
| (0,0) | (10,10)
| (-10,0) | (0,0)
| (-10,0) | (-3,4)
| (-10,0) | (5.1,34.5)
| (-10,0) | (-5,-12)
| (-10,0) | (1e-300,-1e-300)
| (-10,0) | (1e+300,Infinity)
| (-10,0) | (NaN,NaN)
| (-10,0) | (10,10)
| (-3,4) | (0,0)
| (-3,4) | (-10,0)
| (-3,4) | (5.1,34.5)
| (-3,4) | (-5,-12)
| (-3,4) | (1e-300,-1e-300)
| (-3,4) | (1e+300,Infinity)
| (-3,4) | (NaN,NaN)
| (-3,4) | (10,10)
| (5.1,34.5) | (0,0)
| (5.1,34.5) | (-10,0)
| (5.1,34.5) | (-3,4)
| (5.1,34.5) | (-5,-12)
| (5.1,34.5) | (1e-300,-1e-300)
| (5.1,34.5) | (1e+300,Infinity)
| (5.1,34.5) | (NaN,NaN)
| (5.1,34.5) | (10,10)
| (-5,-12) | (0,0)
| (-5,-12) | (-10,0)
| (-5,-12) | (-3,4)
| (-5,-12) | (5.1,34.5)
| (-5,-12) | (1e-300,-1e-300)
| (-5,-12) | (1e+300,Infinity)
| (-5,-12) | (NaN,NaN)
| (-5,-12) | (10,10)
| (1e-300,-1e-300) | (-10,0)
| (1e-300,-1e-300) | (-3,4)
| (1e-300,-1e-300) | (5.1,34.5)
| (1e-300,-1e-300) | (-5,-12)
| (1e-300,-1e-300) | (1e+300,Infinity)
| (1e-300,-1e-300) | (NaN,NaN)
| (1e-300,-1e-300) | (10,10)
| (1e+300,Infinity) | (0,0)
| (1e+300,Infinity) | (-10,0)
| (1e+300,Infinity) | (-3,4)
| (1e+300,Infinity) | (5.1,34.5)
| (1e+300,Infinity) | (-5,-12)
| (1e+300,Infinity) | (1e-300,-1e-300)
| (1e+300,Infinity) | (1e+300,Infinity)
| (1e+300,Infinity) | (NaN,NaN)
| (1e+300,Infinity) | (10,10)
| (NaN,NaN) | (0,0)
| (NaN,NaN) | (-10,0)
| (NaN,NaN) | (-3,4)
| (NaN,NaN) | (5.1,34.5)
| (NaN,NaN) | (-5,-12)
| (NaN,NaN) | (1e-300,-1e-300)
| (NaN,NaN) | (1e+300,Infinity)
| (NaN,NaN) | (NaN,NaN)
| (NaN,NaN) | (10,10)
| (10,10) | (0,0)
| (10,10) | (-10,0)
| (10,10) | (-3,4)
| (10,10) | (5.1,34.5)
| (10,10) | (-5,-12)
| (10,10) | (1e-300,-1e-300)
| (10,10) | (1e+300,Infinity)
| (10,10) | (NaN,NaN)
(72 rows)
-- put distance result into output to allow sorting with GEQ optimizer - tgl 97/05/10
SELECT '' AS fifteen, p1.f1 AS point1, p2.f1 AS point2, (p1.f1 <-> p2.f1) AS distance
FROM POINT_TBL p1, POINT_TBL p2
WHERE (p1.f1 <-> p2.f1) > 3 and p1.f1 << p2.f1
ORDER BY distance, p1.f1[0], p2.f1[0];
fifteen | point1 | point2 | distance
---------+------------------+-------------------+------------------
| (-3,4) | (0,0) | 5
| (-3,4) | (1e-300,-1e-300) | 5
| (-10,0) | (-3,4) | 8.06225774829855
| (-10,0) | (0,0) | 10
| (-10,0) | (1e-300,-1e-300) | 10
| (-10,0) | (-5,-12) | 13
| (-5,-12) | (0,0) | 13
| (-5,-12) | (1e-300,-1e-300) | 13
| (0,0) | (10,10) | 14.142135623731
| (1e-300,-1e-300) | (10,10) | 14.142135623731
| (-3,4) | (10,10) | 14.3178210632764
| (-5,-12) | (-3,4) | 16.1245154965971
| (-10,0) | (10,10) | 22.3606797749979
| (5.1,34.5) | (10,10) | 24.9851956166046
| (-5,-12) | (10,10) | 26.6270539113887
| (-3,4) | (5.1,34.5) | 31.5572495632937
| (0,0) | (5.1,34.5) | 34.8749193547455
| (1e-300,-1e-300) | (5.1,34.5) | 34.8749193547455
| (-10,0) | (5.1,34.5) | 37.6597928831267
| (-5,-12) | (5.1,34.5) | 47.5842410888311
| (-10,0) | (1e+300,Infinity) | Infinity
| (-5,-12) | (1e+300,Infinity) | Infinity
| (-3,4) | (1e+300,Infinity) | Infinity
| (0,0) | (1e+300,Infinity) | Infinity
| (1e-300,-1e-300) | (1e+300,Infinity) | Infinity
| (5.1,34.5) | (1e+300,Infinity) | Infinity
| (10,10) | (1e+300,Infinity) | Infinity
(27 rows)
-- put distance result into output to allow sorting with GEQ optimizer - tgl 97/05/10
SELECT '' AS three, p1.f1 AS point1, p2.f1 AS point2, (p1.f1 <-> p2.f1) AS distance
FROM POINT_TBL p1, POINT_TBL p2
WHERE (p1.f1 <-> p2.f1) > 3 and p1.f1 << p2.f1 and p1.f1 >^ p2.f1
ORDER BY distance;
three | point1 | point2 | distance
-------+------------+------------------+------------------
| (-3,4) | (0,0) | 5
| (-3,4) | (1e-300,-1e-300) | 5
| (-10,0) | (-5,-12) | 13
| (5.1,34.5) | (10,10) | 24.9851956166046
(4 rows)
-- Test that GiST indexes provide same behavior as sequential scan
CREATE TEMP TABLE point_gist_tbl(f1 point);
INSERT INTO point_gist_tbl SELECT '(0,0)' FROM generate_series(0,1000);
CREATE INDEX point_gist_tbl_index ON point_gist_tbl USING gist (f1);
INSERT INTO point_gist_tbl VALUES ('(0.0000009,0.0000009)');
SET enable_seqscan TO true;
SET enable_indexscan TO false;
SET enable_bitmapscan TO false;
SELECT COUNT(*) FROM point_gist_tbl WHERE f1 ~= '(0.0000009,0.0000009)'::point;
count
-------
1002
(1 row)
SELECT COUNT(*) FROM point_gist_tbl WHERE f1 <@ '(0.0000009,0.0000009),(0.0000009,0.0000009)'::box;
count
-------
1
(1 row)
SELECT COUNT(*) FROM point_gist_tbl WHERE f1 ~= '(0.0000018,0.0000018)'::point;
count
-------
1
(1 row)
SET enable_seqscan TO false;
SET enable_indexscan TO true;
SET enable_bitmapscan TO true;
SELECT COUNT(*) FROM point_gist_tbl WHERE f1 ~= '(0.0000009,0.0000009)'::point;
count
-------
1002
(1 row)
SELECT COUNT(*) FROM point_gist_tbl WHERE f1 <@ '(0.0000009,0.0000009),(0.0000009,0.0000009)'::box;
count
-------
1
(1 row)
SELECT COUNT(*) FROM point_gist_tbl WHERE f1 ~= '(0.0000018,0.0000018)'::point;
count
-------
1
(1 row)
RESET enable_seqscan;
RESET enable_indexscan;
RESET enable_bitmapscan;
|
