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
|
-- Currently this tests polymorphic aggregates and indirectly does some
-- testing of polymorphic SQL functions. It ought to be extended.
-- Legend:
-----------
-- A = type is ANY
-- P = type is polymorphic
-- N = type is non-polymorphic
-- B = aggregate base type
-- S = aggregate state type
-- R = aggregate return type
-- 1 = arg1 of a function
-- 2 = arg2 of a function
-- ag = aggregate
-- tf = trans (state) function
-- ff = final function
-- rt = return type of a function
-- -> = implies
-- => = allowed
-- !> = not allowed
-- E = exists
-- NE = not-exists
--
-- Possible states:
-- ----------------
-- B = (A || P || N)
-- when (B = A) -> (tf2 = NE)
-- S = (P || N)
-- ff = (E || NE)
-- tf1 = (P || N)
-- tf2 = (NE || P || N)
-- R = (P || N)
-- create functions for use as tf and ff with the needed combinations of
-- argument polymorphism, but within the constraints of valid aggregate
-- functions, i.e. tf arg1 and tf return type must match
-- polymorphic single arg transfn
CREATE FUNCTION stfp(anyarray) RETURNS anyarray AS
'select $1' LANGUAGE SQL;
-- non-polymorphic single arg transfn
CREATE FUNCTION stfnp(int[]) RETURNS int[] AS
'select $1' LANGUAGE SQL;
-- dual polymorphic transfn
CREATE FUNCTION tfp(anyarray,anyelement) RETURNS anyarray AS
'select $1 || $2' LANGUAGE SQL;
-- dual non-polymorphic transfn
CREATE FUNCTION tfnp(int[],int) RETURNS int[] AS
'select $1 || $2' LANGUAGE SQL;
-- arg1 only polymorphic transfn
CREATE FUNCTION tf1p(anyarray,int) RETURNS anyarray AS
'select $1' LANGUAGE SQL;
-- arg2 only polymorphic transfn
CREATE FUNCTION tf2p(int[],anyelement) RETURNS int[] AS
'select $1' LANGUAGE SQL;
-- multi-arg polymorphic
CREATE FUNCTION sum3(anyelement,anyelement,anyelement) returns anyelement AS
'select $1+$2+$3' language sql strict;
-- finalfn polymorphic
CREATE FUNCTION ffp(anyarray) RETURNS anyarray AS
'select $1' LANGUAGE SQL;
-- finalfn non-polymorphic
CREATE FUNCTION ffnp(int[]) returns int[] as
'select $1' LANGUAGE SQL;
-- Try to cover all the possible states:
--
-- Note: in Cases 1 & 2, we are trying to return P. Therefore, if the transfn
-- is stfnp, tfnp, or tf2p, we must use ffp as finalfn, because stfnp, tfnp,
-- and tf2p do not return P. Conversely, in Cases 3 & 4, we are trying to
-- return N. Therefore, if the transfn is stfp, tfp, or tf1p, we must use ffnp
-- as finalfn, because stfp, tfp, and tf1p do not return N.
--
-- Case1 (R = P) && (B = A)
-- ------------------------
-- S tf1
-- -------
-- N N
-- should CREATE
CREATE AGGREGATE myaggp01a(*) (SFUNC = stfnp, STYPE = int4[],
FINALFUNC = ffp, INITCOND = '{}');
-- P N
-- should ERROR: stfnp(anyarray) not matched by stfnp(int[])
CREATE AGGREGATE myaggp02a(*) (SFUNC = stfnp, STYPE = anyarray,
FINALFUNC = ffp, INITCOND = '{}');
-- N P
-- should CREATE
CREATE AGGREGATE myaggp03a(*) (SFUNC = stfp, STYPE = int4[],
FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp03b(*) (SFUNC = stfp, STYPE = int4[],
INITCOND = '{}');
-- P P
-- should ERROR: we have no way to resolve S
CREATE AGGREGATE myaggp04a(*) (SFUNC = stfp, STYPE = anyarray,
FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp04b(*) (SFUNC = stfp, STYPE = anyarray,
INITCOND = '{}');
-- Case2 (R = P) && ((B = P) || (B = N))
-- -------------------------------------
-- S tf1 B tf2
-- -----------------------
-- N N N N
-- should CREATE
CREATE AGGREGATE myaggp05a(BASETYPE = int, SFUNC = tfnp, STYPE = int[],
FINALFUNC = ffp, INITCOND = '{}');
-- N N N P
-- should CREATE
CREATE AGGREGATE myaggp06a(BASETYPE = int, SFUNC = tf2p, STYPE = int[],
FINALFUNC = ffp, INITCOND = '{}');
-- N N P N
-- should ERROR: tfnp(int[], anyelement) not matched by tfnp(int[], int)
CREATE AGGREGATE myaggp07a(BASETYPE = anyelement, SFUNC = tfnp, STYPE = int[],
FINALFUNC = ffp, INITCOND = '{}');
-- N N P P
-- should CREATE
CREATE AGGREGATE myaggp08a(BASETYPE = anyelement, SFUNC = tf2p, STYPE = int[],
FINALFUNC = ffp, INITCOND = '{}');
-- N P N N
-- should CREATE
CREATE AGGREGATE myaggp09a(BASETYPE = int, SFUNC = tf1p, STYPE = int[],
FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp09b(BASETYPE = int, SFUNC = tf1p, STYPE = int[],
INITCOND = '{}');
-- N P N P
-- should CREATE
CREATE AGGREGATE myaggp10a(BASETYPE = int, SFUNC = tfp, STYPE = int[],
FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp10b(BASETYPE = int, SFUNC = tfp, STYPE = int[],
INITCOND = '{}');
-- N P P N
-- should ERROR: tf1p(int[],anyelement) not matched by tf1p(anyarray,int)
CREATE AGGREGATE myaggp11a(BASETYPE = anyelement, SFUNC = tf1p, STYPE = int[],
FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp11b(BASETYPE = anyelement, SFUNC = tf1p, STYPE = int[],
INITCOND = '{}');
-- N P P P
-- should ERROR: tfp(int[],anyelement) not matched by tfp(anyarray,anyelement)
CREATE AGGREGATE myaggp12a(BASETYPE = anyelement, SFUNC = tfp, STYPE = int[],
FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp12b(BASETYPE = anyelement, SFUNC = tfp, STYPE = int[],
INITCOND = '{}');
-- P N N N
-- should ERROR: tfnp(anyarray, int) not matched by tfnp(int[],int)
CREATE AGGREGATE myaggp13a(BASETYPE = int, SFUNC = tfnp, STYPE = anyarray,
FINALFUNC = ffp, INITCOND = '{}');
-- P N N P
-- should ERROR: tf2p(anyarray, int) not matched by tf2p(int[],anyelement)
CREATE AGGREGATE myaggp14a(BASETYPE = int, SFUNC = tf2p, STYPE = anyarray,
FINALFUNC = ffp, INITCOND = '{}');
-- P N P N
-- should ERROR: tfnp(anyarray, anyelement) not matched by tfnp(int[],int)
CREATE AGGREGATE myaggp15a(BASETYPE = anyelement, SFUNC = tfnp,
STYPE = anyarray, FINALFUNC = ffp, INITCOND = '{}');
-- P N P P
-- should ERROR: tf2p(anyarray, anyelement) not matched by tf2p(int[],anyelement)
CREATE AGGREGATE myaggp16a(BASETYPE = anyelement, SFUNC = tf2p,
STYPE = anyarray, FINALFUNC = ffp, INITCOND = '{}');
-- P P N N
-- should ERROR: we have no way to resolve S
CREATE AGGREGATE myaggp17a(BASETYPE = int, SFUNC = tf1p, STYPE = anyarray,
FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp17b(BASETYPE = int, SFUNC = tf1p, STYPE = anyarray,
INITCOND = '{}');
-- P P N P
-- should ERROR: tfp(anyarray, int) not matched by tfp(anyarray, anyelement)
CREATE AGGREGATE myaggp18a(BASETYPE = int, SFUNC = tfp, STYPE = anyarray,
FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp18b(BASETYPE = int, SFUNC = tfp, STYPE = anyarray,
INITCOND = '{}');
-- P P P N
-- should ERROR: tf1p(anyarray, anyelement) not matched by tf1p(anyarray, int)
CREATE AGGREGATE myaggp19a(BASETYPE = anyelement, SFUNC = tf1p,
STYPE = anyarray, FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp19b(BASETYPE = anyelement, SFUNC = tf1p,
STYPE = anyarray, INITCOND = '{}');
-- P P P P
-- should CREATE
CREATE AGGREGATE myaggp20a(BASETYPE = anyelement, SFUNC = tfp,
STYPE = anyarray, FINALFUNC = ffp, INITCOND = '{}');
CREATE AGGREGATE myaggp20b(BASETYPE = anyelement, SFUNC = tfp,
STYPE = anyarray, INITCOND = '{}');
-- Case3 (R = N) && (B = A)
-- ------------------------
-- S tf1
-- -------
-- N N
-- should CREATE
CREATE AGGREGATE myaggn01a(*) (SFUNC = stfnp, STYPE = int4[],
FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn01b(*) (SFUNC = stfnp, STYPE = int4[],
INITCOND = '{}');
-- P N
-- should ERROR: stfnp(anyarray) not matched by stfnp(int[])
CREATE AGGREGATE myaggn02a(*) (SFUNC = stfnp, STYPE = anyarray,
FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn02b(*) (SFUNC = stfnp, STYPE = anyarray,
INITCOND = '{}');
-- N P
-- should CREATE
CREATE AGGREGATE myaggn03a(*) (SFUNC = stfp, STYPE = int4[],
FINALFUNC = ffnp, INITCOND = '{}');
-- P P
-- should ERROR: ffnp(anyarray) not matched by ffnp(int[])
CREATE AGGREGATE myaggn04a(*) (SFUNC = stfp, STYPE = anyarray,
FINALFUNC = ffnp, INITCOND = '{}');
-- Case4 (R = N) && ((B = P) || (B = N))
-- -------------------------------------
-- S tf1 B tf2
-- -----------------------
-- N N N N
-- should CREATE
CREATE AGGREGATE myaggn05a(BASETYPE = int, SFUNC = tfnp, STYPE = int[],
FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn05b(BASETYPE = int, SFUNC = tfnp, STYPE = int[],
INITCOND = '{}');
-- N N N P
-- should CREATE
CREATE AGGREGATE myaggn06a(BASETYPE = int, SFUNC = tf2p, STYPE = int[],
FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn06b(BASETYPE = int, SFUNC = tf2p, STYPE = int[],
INITCOND = '{}');
-- N N P N
-- should ERROR: tfnp(int[], anyelement) not matched by tfnp(int[], int)
CREATE AGGREGATE myaggn07a(BASETYPE = anyelement, SFUNC = tfnp, STYPE = int[],
FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn07b(BASETYPE = anyelement, SFUNC = tfnp, STYPE = int[],
INITCOND = '{}');
-- N N P P
-- should CREATE
CREATE AGGREGATE myaggn08a(BASETYPE = anyelement, SFUNC = tf2p, STYPE = int[],
FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn08b(BASETYPE = anyelement, SFUNC = tf2p, STYPE = int[],
INITCOND = '{}');
-- N P N N
-- should CREATE
CREATE AGGREGATE myaggn09a(BASETYPE = int, SFUNC = tf1p, STYPE = int[],
FINALFUNC = ffnp, INITCOND = '{}');
-- N P N P
-- should CREATE
CREATE AGGREGATE myaggn10a(BASETYPE = int, SFUNC = tfp, STYPE = int[],
FINALFUNC = ffnp, INITCOND = '{}');
-- N P P N
-- should ERROR: tf1p(int[],anyelement) not matched by tf1p(anyarray,int)
CREATE AGGREGATE myaggn11a(BASETYPE = anyelement, SFUNC = tf1p, STYPE = int[],
FINALFUNC = ffnp, INITCOND = '{}');
-- N P P P
-- should ERROR: tfp(int[],anyelement) not matched by tfp(anyarray,anyelement)
CREATE AGGREGATE myaggn12a(BASETYPE = anyelement, SFUNC = tfp, STYPE = int[],
FINALFUNC = ffnp, INITCOND = '{}');
-- P N N N
-- should ERROR: tfnp(anyarray, int) not matched by tfnp(int[],int)
CREATE AGGREGATE myaggn13a(BASETYPE = int, SFUNC = tfnp, STYPE = anyarray,
FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn13b(BASETYPE = int, SFUNC = tfnp, STYPE = anyarray,
INITCOND = '{}');
-- P N N P
-- should ERROR: tf2p(anyarray, int) not matched by tf2p(int[],anyelement)
CREATE AGGREGATE myaggn14a(BASETYPE = int, SFUNC = tf2p, STYPE = anyarray,
FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn14b(BASETYPE = int, SFUNC = tf2p, STYPE = anyarray,
INITCOND = '{}');
-- P N P N
-- should ERROR: tfnp(anyarray, anyelement) not matched by tfnp(int[],int)
CREATE AGGREGATE myaggn15a(BASETYPE = anyelement, SFUNC = tfnp,
STYPE = anyarray, FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn15b(BASETYPE = anyelement, SFUNC = tfnp,
STYPE = anyarray, INITCOND = '{}');
-- P N P P
-- should ERROR: tf2p(anyarray, anyelement) not matched by tf2p(int[],anyelement)
CREATE AGGREGATE myaggn16a(BASETYPE = anyelement, SFUNC = tf2p,
STYPE = anyarray, FINALFUNC = ffnp, INITCOND = '{}');
CREATE AGGREGATE myaggn16b(BASETYPE = anyelement, SFUNC = tf2p,
STYPE = anyarray, INITCOND = '{}');
-- P P N N
-- should ERROR: ffnp(anyarray) not matched by ffnp(int[])
CREATE AGGREGATE myaggn17a(BASETYPE = int, SFUNC = tf1p, STYPE = anyarray,
FINALFUNC = ffnp, INITCOND = '{}');
-- P P N P
-- should ERROR: tfp(anyarray, int) not matched by tfp(anyarray, anyelement)
CREATE AGGREGATE myaggn18a(BASETYPE = int, SFUNC = tfp, STYPE = anyarray,
FINALFUNC = ffnp, INITCOND = '{}');
-- P P P N
-- should ERROR: tf1p(anyarray, anyelement) not matched by tf1p(anyarray, int)
CREATE AGGREGATE myaggn19a(BASETYPE = anyelement, SFUNC = tf1p,
STYPE = anyarray, FINALFUNC = ffnp, INITCOND = '{}');
-- P P P P
-- should ERROR: ffnp(anyarray) not matched by ffnp(int[])
CREATE AGGREGATE myaggn20a(BASETYPE = anyelement, SFUNC = tfp,
STYPE = anyarray, FINALFUNC = ffnp, INITCOND = '{}');
-- multi-arg polymorphic
CREATE AGGREGATE mysum2(anyelement,anyelement) (SFUNC = sum3,
STYPE = anyelement, INITCOND = '0');
-- create test data for polymorphic aggregates
create temp table t(f1 int, f2 int[], f3 text);
insert into t values(1,array[1],'a');
insert into t values(1,array[11],'b');
insert into t values(1,array[111],'c');
insert into t values(2,array[2],'a');
insert into t values(2,array[22],'b');
insert into t values(2,array[222],'c');
insert into t values(3,array[3],'a');
insert into t values(3,array[3],'b');
-- test the successfully created polymorphic aggregates
select f3, myaggp01a(*) from t group by f3;
select f3, myaggp03a(*) from t group by f3;
select f3, myaggp03b(*) from t group by f3;
select f3, myaggp05a(f1) from t group by f3;
select f3, myaggp06a(f1) from t group by f3;
select f3, myaggp08a(f1) from t group by f3;
select f3, myaggp09a(f1) from t group by f3;
select f3, myaggp09b(f1) from t group by f3;
select f3, myaggp10a(f1) from t group by f3;
select f3, myaggp10b(f1) from t group by f3;
select f3, myaggp20a(f1) from t group by f3;
select f3, myaggp20b(f1) from t group by f3;
select f3, myaggn01a(*) from t group by f3;
select f3, myaggn01b(*) from t group by f3;
select f3, myaggn03a(*) from t group by f3;
select f3, myaggn05a(f1) from t group by f3;
select f3, myaggn05b(f1) from t group by f3;
select f3, myaggn06a(f1) from t group by f3;
select f3, myaggn06b(f1) from t group by f3;
select f3, myaggn08a(f1) from t group by f3;
select f3, myaggn08b(f1) from t group by f3;
select f3, myaggn09a(f1) from t group by f3;
select f3, myaggn10a(f1) from t group by f3;
select mysum2(f1, f1 + 1) from t;
-- test inlining of polymorphic SQL functions
create function bleat(int) returns int as $$
begin
raise notice 'bleat %', $1;
return $1;
end$$ language plpgsql;
create function sql_if(bool, anyelement, anyelement) returns anyelement as $$
select case when $1 then $2 else $3 end $$ language sql;
-- Note this would fail with integer overflow, never mind wrong bleat() output,
-- if the CASE expression were not successfully inlined
select f1, sql_if(f1 > 0, bleat(f1), bleat(f1 + 1)) from int4_tbl;
select q2, sql_if(q2 > 0, q2, q2 + 1) from int8_tbl;
-- another kind of polymorphic aggregate
create function add_group(grp anyarray, ad anyelement, size integer)
returns anyarray
as $$
begin
if grp is null then
return array[ad];
end if;
if array_upper(grp, 1) < size then
return grp || ad;
end if;
return grp;
end;
$$
language plpgsql immutable;
create aggregate build_group(anyelement, integer) (
SFUNC = add_group,
STYPE = anyarray
);
select build_group(q1,3) from int8_tbl;
-- this should fail because stype isn't compatible with arg
create aggregate build_group(int8, integer) (
SFUNC = add_group,
STYPE = int2[]
);
-- but we can make a non-poly agg from a poly sfunc if types are OK
create aggregate build_group(int8, integer) (
SFUNC = add_group,
STYPE = int8[]
);
-- check that we can apply functions taking ANYARRAY to pg_stats
select distinct array_eq(histogram_bounds,histogram_bounds) from pg_stats
where histogram_bounds is not null;
-- such functions must protect themselves if varying element type isn't OK
select max(histogram_bounds) from pg_stats;
|