summaryrefslogtreecommitdiffstats
path: root/contrib/cube/sql/cube.sql
blob: eec90d21ee3bcf999c93b4df69f7c121dc525953 (plain)
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
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
--
--  Test cube datatype
--

CREATE EXTENSION cube;

-- Check whether any of our opclasses fail amvalidate
SELECT amname, opcname
FROM pg_opclass opc LEFT JOIN pg_am am ON am.oid = opcmethod
WHERE opc.oid >= 16384 AND NOT amvalidate(opc.oid);

--
-- testing the input and output functions
--

-- Any number (a one-dimensional point)
SELECT '1'::cube AS cube;
SELECT '-1'::cube AS cube;
SELECT '1.'::cube AS cube;
SELECT '-1.'::cube AS cube;
SELECT '.1'::cube AS cube;
SELECT '-.1'::cube AS cube;
SELECT '1.0'::cube AS cube;
SELECT '-1.0'::cube AS cube;
SELECT 'infinity'::cube AS cube;
SELECT '-infinity'::cube AS cube;
SELECT 'NaN'::cube AS cube;
SELECT '.1234567890123456'::cube AS cube;
SELECT '+.1234567890123456'::cube AS cube;
SELECT '-.1234567890123456'::cube AS cube;

-- simple lists (points)
SELECT '()'::cube AS cube;
SELECT '1,2'::cube AS cube;
SELECT '(1,2)'::cube AS cube;
SELECT '1,2,3,4,5'::cube AS cube;
SELECT '(1,2,3,4,5)'::cube AS cube;

-- double lists (cubes)
SELECT '(),()'::cube AS cube;
SELECT '(0),(0)'::cube AS cube;
SELECT '(0),(1)'::cube AS cube;
SELECT '[(0),(0)]'::cube AS cube;
SELECT '[(0),(1)]'::cube AS cube;
SELECT '(0,0,0,0),(0,0,0,0)'::cube AS cube;
SELECT '(0,0,0,0),(1,0,0,0)'::cube AS cube;
SELECT '[(0,0,0,0),(0,0,0,0)]'::cube AS cube;
SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;

-- invalid input: parse errors
SELECT ''::cube AS cube;
SELECT 'ABC'::cube AS cube;
SELECT '[]'::cube AS cube;
SELECT '[()]'::cube AS cube;
SELECT '[(1)]'::cube AS cube;
SELECT '[(1),]'::cube AS cube;
SELECT '[(1),2]'::cube AS cube;
SELECT '[(1),(2),(3)]'::cube AS cube;
SELECT '1,'::cube AS cube;
SELECT '1,2,'::cube AS cube;
SELECT '1,,2'::cube AS cube;
SELECT '(1,)'::cube AS cube;
SELECT '(1,2,)'::cube AS cube;
SELECT '(1,,2)'::cube AS cube;

-- invalid input: semantic errors and trailing garbage
SELECT '[(1),(2)],'::cube AS cube; -- 0
SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1
SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1
SELECT '(1),(2),'::cube AS cube; -- 2
SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3
SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3
SELECT '(1,2,3)ab'::cube AS cube; -- 4
SELECT '(1,2,3)a'::cube AS cube; -- 5
SELECT '(1,2)('::cube AS cube; -- 5
SELECT '1,2ab'::cube AS cube; -- 6
SELECT '1 e7'::cube AS cube; -- 6
SELECT '1,2a'::cube AS cube; -- 7
SELECT '1..2'::cube AS cube; -- 7
SELECT '-1e-700'::cube AS cube; -- out of range

-- Also try it with non-error-throwing API
SELECT pg_input_is_valid('(1,2)', 'cube');
SELECT pg_input_is_valid('[(1),]', 'cube');
SELECT pg_input_is_valid('-1e-700', 'cube');
SELECT * FROM pg_input_error_info('-1e-700', 'cube');

--
-- Testing building cubes from float8 values
--

SELECT cube(0::float8);
SELECT cube(1::float8);
SELECT cube(1,2);
SELECT cube(cube(1,2),3);
SELECT cube(cube(1,2),3,4);
SELECT cube(cube(cube(1,2),3,4),5);
SELECT cube(cube(cube(1,2),3,4),5,6);

--
-- Test that the text -> cube cast was installed.
--

SELECT '(0)'::text::cube;

--
-- Test the float[] -> cube cast
--
SELECT cube('{0,1,2}'::float[], '{3,4,5}'::float[]);
SELECT cube('{0,1,2}'::float[], '{3}'::float[]);
SELECT cube(NULL::float[], '{3}'::float[]);
SELECT cube('{0,1,2}'::float[]);
SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[3,2,1,1]);
SELECT cube_subset(cube('(1,3,5),(1,3,5)'), ARRAY[3,2,1,1]);
SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[4,0]);
SELECT cube_subset(cube('(6,7,8),(6,7,8)'), ARRAY[4,0]);
-- test for limits: this should pass
SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,100)));
-- and this should fail
SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,101)));



--
-- Test point processing
--
SELECT cube('(1,2),(1,2)'); -- cube_in
SELECT cube('{0,1,2}'::float[], '{0,1,2}'::float[]); -- cube_a_f8_f8
SELECT cube('{5,6,7,8}'::float[]); -- cube_a_f8
SELECT cube(1.37); -- cube_f8
SELECT cube(1.37, 1.37); -- cube_f8_f8
SELECT cube(cube(1,1), 42); -- cube_c_f8
SELECT cube(cube(1,2), 42); -- cube_c_f8
SELECT cube(cube(1,1), 42, 42); -- cube_c_f8_f8
SELECT cube(cube(1,1), 42, 24); -- cube_c_f8_f8
SELECT cube(cube(1,2), 42, 42); -- cube_c_f8_f8
SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8

--
-- Testing limit of CUBE_MAX_DIM dimensions check in cube_in.
--
-- create too big cube from literal
select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0),(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
-- from an array
select cube(array(SELECT 0 as a FROM generate_series(1,101)));
select cube(array(SELECT 0 as a FROM generate_series(1,101)),array(SELECT 0 as a FROM generate_series(1,101)));

-- extend cube beyond limit
-- this should work
select cube(array(SELECT 0 as a FROM generate_series(1,100)));
select cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100)));
-- this should fail
select cube(cube(array(SELECT 0 as a FROM generate_series(1,100))), 0);
select cube(cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100))), 0, 0);


--
-- testing the  operators
--

-- equality/inequality:
--
SELECT '24, 33.20'::cube    =  '24, 33.20'::cube AS bool;
SELECT '24, 33.20'::cube    != '24, 33.20'::cube AS bool;
SELECT '24, 33.20'::cube    =  '24, 33.21'::cube AS bool;
SELECT '24, 33.20'::cube    != '24, 33.21'::cube AS bool;
SELECT '(2,0),(3,1)'::cube  =  '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
SELECT '(2,0),(3,1)'::cube  =  '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;

-- "lower than" / "greater than"
-- (these operators are not useful for anything but ordering)
--
SELECT '1'::cube   > '2'::cube AS bool;
SELECT '1'::cube   < '2'::cube AS bool;
SELECT '1,1'::cube > '1,2'::cube AS bool;
SELECT '1,1'::cube < '1,2'::cube AS bool;

SELECT '(2,0),(3,1)'::cube             > '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
SELECT '(2,0),(3,1)'::cube             < '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
SELECT '(2,0),(3,1)'::cube             > '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
SELECT '(2,0),(3,1)'::cube             < '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
SELECT '(2,0),(3,1)'::cube             > '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
SELECT '(2,0),(3,1)'::cube             < '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube > '(2,0),(3,1)'::cube AS bool;
SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube < '(2,0),(3,1)'::cube AS bool;
SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;


-- "overlap"
--
SELECT '1'::cube && '1'::cube AS bool;
SELECT '1'::cube && '2'::cube AS bool;

SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '0'::cube AS bool;
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1'::cube AS bool;
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1,1,1'::cube AS bool;
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1,1),(2,2,2)]'::cube AS bool;
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1),(2,2)]'::cube AS bool;
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(2,1,1),(2,2,2)]'::cube AS bool;


-- "contained in" (the left operand is the cube entirely enclosed by
-- the right operand):
--
SELECT '0'::cube                 <@ '0'::cube                        AS bool;
SELECT '0,0,0'::cube             <@ '0,0,0'::cube                    AS bool;
SELECT '0,0'::cube               <@ '0,0,1'::cube                    AS bool;
SELECT '0,0,0'::cube             <@ '0,0,1'::cube                    AS bool;
SELECT '1,0,0'::cube             <@ '0,0,1'::cube                    AS bool;
SELECT '(1,0,0),(0,0,1)'::cube   <@ '(1,0,0),(0,0,1)'::cube          AS bool;
SELECT '(1,0,0),(0,0,1)'::cube   <@ '(-1,-1,-1),(1,1,1)'::cube       AS bool;
SELECT '(1,0,0),(0,0,1)'::cube   <@ '(-1,-1,-1,-1),(1,1,1,1)'::cube  AS bool;
SELECT '0'::cube                 <@ '(-1),(1)'::cube                 AS bool;
SELECT '1'::cube                 <@ '(-1),(1)'::cube                 AS bool;
SELECT '-1'::cube                <@ '(-1),(1)'::cube                 AS bool;
SELECT '(-1),(1)'::cube          <@ '(-1),(1)'::cube                 AS bool;
SELECT '(-1),(1)'::cube          <@ '(-1,-1),(1,1)'::cube            AS bool;
SELECT '(-2),(1)'::cube          <@ '(-1),(1)'::cube                 AS bool;
SELECT '(-2),(1)'::cube          <@ '(-1,-1),(1,1)'::cube            AS bool;


-- "contains" (the left operand is the cube that entirely encloses the
-- right operand)
--
SELECT '0'::cube                        @> '0'::cube                 AS bool;
SELECT '0,0,0'::cube                    @> '0,0,0'::cube             AS bool;
SELECT '0,0,1'::cube                    @> '0,0'::cube               AS bool;
SELECT '0,0,1'::cube                    @> '0,0,0'::cube             AS bool;
SELECT '0,0,1'::cube                    @> '1,0,0'::cube             AS bool;
SELECT '(1,0,0),(0,0,1)'::cube          @> '(1,0,0),(0,0,1)'::cube   AS bool;
SELECT '(-1,-1,-1),(1,1,1)'::cube       @> '(1,0,0),(0,0,1)'::cube   AS bool;
SELECT '(-1,-1,-1,-1),(1,1,1,1)'::cube  @> '(1,0,0),(0,0,1)'::cube   AS bool;
SELECT '(-1),(1)'::cube                 @> '0'::cube                 AS bool;
SELECT '(-1),(1)'::cube                 @> '1'::cube                 AS bool;
SELECT '(-1),(1)'::cube                 @> '-1'::cube                AS bool;
SELECT '(-1),(1)'::cube                 @> '(-1),(1)'::cube          AS bool;
SELECT '(-1,-1),(1,1)'::cube            @> '(-1),(1)'::cube          AS bool;
SELECT '(-1),(1)'::cube                 @> '(-2),(1)'::cube          AS bool;
SELECT '(-1,-1),(1,1)'::cube            @> '(-2),(1)'::cube          AS bool;

-- Test of distance function
--
SELECT cube_distance('(0)'::cube,'(2,2,2,2)'::cube);
SELECT cube_distance('(0)'::cube,'(.3,.4)'::cube);
SELECT cube_distance('(2,3,4)'::cube,'(2,3,4)'::cube);
SELECT cube_distance('(42,42,42,42)'::cube,'(137,137,137,137)'::cube);
SELECT cube_distance('(42,42,42)'::cube,'(137,137)'::cube);

-- Test of cube function (text to cube)
--
SELECT cube('(1,1.2)'::text);
SELECT cube(NULL);

-- Test of cube_dim function (dimensions stored in cube)
--
SELECT cube_dim('(0)'::cube);
SELECT cube_dim('(0,0)'::cube);
SELECT cube_dim('(0,0,0)'::cube);
SELECT cube_dim('(42,42,42),(42,42,42)'::cube);
SELECT cube_dim('(4,8,15,16,23),(4,8,15,16,23)'::cube);

-- Test of cube_ll_coord function (retrieves LL coordinate values)
--
SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 1);
SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 2);
SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 3);
SELECT cube_ll_coord('(1,2),(1,2)'::cube, 1);
SELECT cube_ll_coord('(1,2),(1,2)'::cube, 2);
SELECT cube_ll_coord('(1,2),(1,2)'::cube, 3);
SELECT cube_ll_coord('(42,137)'::cube, 1);
SELECT cube_ll_coord('(42,137)'::cube, 2);
SELECT cube_ll_coord('(42,137)'::cube, 3);

-- Test of cube_ur_coord function (retrieves UR coordinate values)
--
SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 1);
SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 2);
SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 3);
SELECT cube_ur_coord('(1,2),(1,2)'::cube, 1);
SELECT cube_ur_coord('(1,2),(1,2)'::cube, 2);
SELECT cube_ur_coord('(1,2),(1,2)'::cube, 3);
SELECT cube_ur_coord('(42,137)'::cube, 1);
SELECT cube_ur_coord('(42,137)'::cube, 2);
SELECT cube_ur_coord('(42,137)'::cube, 3);

-- Test of cube_is_point
--
SELECT cube_is_point('(0)'::cube);
SELECT cube_is_point('(0,1,2)'::cube);
SELECT cube_is_point('(0,1,2),(0,1,2)'::cube);
SELECT cube_is_point('(0,1,2),(-1,1,2)'::cube);
SELECT cube_is_point('(0,1,2),(0,-1,2)'::cube);
SELECT cube_is_point('(0,1,2),(0,1,-2)'::cube);

-- Test of cube_enlarge (enlarging and shrinking cubes)
--
SELECT cube_enlarge('(0)'::cube, 0, 0);
SELECT cube_enlarge('(0)'::cube, 0, 1);
SELECT cube_enlarge('(0)'::cube, 0, 2);
SELECT cube_enlarge('(2),(-2)'::cube, 0, 4);
SELECT cube_enlarge('(0)'::cube, 1, 0);
SELECT cube_enlarge('(0)'::cube, 1, 1);
SELECT cube_enlarge('(0)'::cube, 1, 2);
SELECT cube_enlarge('(2),(-2)'::cube, 1, 4);
SELECT cube_enlarge('(0)'::cube, -1, 0);
SELECT cube_enlarge('(0)'::cube, -1, 1);
SELECT cube_enlarge('(0)'::cube, -1, 2);
SELECT cube_enlarge('(2),(-2)'::cube, -1, 4);
SELECT cube_enlarge('(0,0,0)'::cube, 1, 0);
SELECT cube_enlarge('(0,0,0)'::cube, 1, 2);
SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 1, 2);
SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 3, 2);
SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -1, 2);
SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -3, 2);
SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -23, 5);
SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -24, 5);

-- Test of cube_union (MBR for two cubes)
--
SELECT cube_union('(1,2),(3,4)'::cube, '(5,6,7),(8,9,10)'::cube);
SELECT cube_union('(1,2)'::cube, '(4,2,0,0)'::cube);
SELECT cube_union('(1,2),(1,2)'::cube, '(4,2),(4,2)'::cube);
SELECT cube_union('(1,2),(1,2)'::cube, '(1,2),(1,2)'::cube);
SELECT cube_union('(1,2),(1,2)'::cube, '(1,2,0),(1,2,0)'::cube);

-- Test of cube_inter
--
SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (16,15)'::cube); -- intersects
SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (6,5)'::cube); -- includes
SELECT cube_inter('(1,2),(10,11)'::cube, '(13,14), (16,15)'::cube); -- no intersection
SELECT cube_inter('(1,2),(10,11)'::cube, '(3,14), (16,15)'::cube); -- no intersection, but one dimension intersects
SELECT cube_inter('(1,2),(10,11)'::cube, '(10,11), (16,15)'::cube); -- point intersection
SELECT cube_inter('(1,2,3)'::cube, '(1,2,3)'::cube); -- point args
SELECT cube_inter('(1,2,3)'::cube, '(5,6,3)'::cube); -- point args

-- Test of cube_size
--
SELECT cube_size('(4,8),(15,16)'::cube);
SELECT cube_size('(42,137)'::cube);

-- Test of distances (euclidean distance may not be bit-exact)
--
SET extra_float_digits = 0;
SELECT cube_distance('(1,1)'::cube, '(4,5)'::cube);
SELECT '(1,1)'::cube <-> '(4,5)'::cube as d_e;
RESET extra_float_digits;
SELECT distance_chebyshev('(1,1)'::cube, '(4,5)'::cube);
SELECT '(1,1)'::cube <=> '(4,5)'::cube as d_c;
SELECT distance_taxicab('(1,1)'::cube, '(4,5)'::cube);
SELECT '(1,1)'::cube <#> '(4,5)'::cube as d_t;
-- zero for overlapping
SELECT cube_distance('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
SELECT distance_chebyshev('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
SELECT distance_taxicab('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
-- coordinate access
SELECT cube(array[10,20,30], array[40,50,60])->1;
SELECT cube(array[40,50,60], array[10,20,30])->1;
SELECT cube(array[10,20,30], array[40,50,60])->6;
SELECT cube(array[10,20,30], array[40,50,60])->0;
SELECT cube(array[10,20,30], array[40,50,60])->7;
SELECT cube(array[10,20,30], array[40,50,60])->-1;
SELECT cube(array[10,20,30], array[40,50,60])->-6;
SELECT cube(array[10,20,30])->3;
SELECT cube(array[10,20,30])->6;
SELECT cube(array[10,20,30])->-6;
-- "normalized" coordinate access
SELECT cube(array[10,20,30], array[40,50,60])~>1;
SELECT cube(array[40,50,60], array[10,20,30])~>1;
SELECT cube(array[10,20,30], array[40,50,60])~>2;
SELECT cube(array[40,50,60], array[10,20,30])~>2;
SELECT cube(array[10,20,30], array[40,50,60])~>3;
SELECT cube(array[40,50,60], array[10,20,30])~>3;

SELECT cube(array[40,50,60], array[10,20,30])~>0;
SELECT cube(array[40,50,60], array[10,20,30])~>4;
SELECT cube(array[40,50,60], array[10,20,30])~>(-1);

-- Load some example data and build the index
--
CREATE TABLE test_cube (c cube);

\copy test_cube from 'data/test_cube.data'

CREATE INDEX test_cube_ix ON test_cube USING gist (c);
SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' ORDER BY c;

-- Test sorting
SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' GROUP BY c ORDER BY c;

-- Test index-only scans
SET enable_bitmapscan = false;
EXPLAIN (COSTS OFF)
SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
RESET enable_bitmapscan;

-- Test kNN
INSERT INTO test_cube VALUES ('(1,1)'), ('(100000)'), ('(0, 100000)'); -- Some corner cases
SET enable_seqscan = false;

-- Test different metrics
SET extra_float_digits = 0;
SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
RESET extra_float_digits;
SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;

-- Test sorting by coordinates
SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound

-- Same queries with sequential scan (should give the same results as above)
RESET enable_seqscan;
SET enable_indexscan = OFF;
SET extra_float_digits = 0;
SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
RESET extra_float_digits;
SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound
RESET enable_indexscan;