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Diffstat (limited to '')
-rw-r--r-- | src/test/regress/sql/brin.sql | 511 |
1 files changed, 511 insertions, 0 deletions
diff --git a/src/test/regress/sql/brin.sql b/src/test/regress/sql/brin.sql new file mode 100644 index 0000000..3bd866d --- /dev/null +++ b/src/test/regress/sql/brin.sql @@ -0,0 +1,511 @@ +CREATE TABLE brintest (byteacol bytea, + charcol "char", + namecol name, + int8col bigint, + int2col smallint, + int4col integer, + textcol text, + oidcol oid, + tidcol tid, + float4col real, + float8col double precision, + macaddrcol macaddr, + inetcol inet, + cidrcol cidr, + bpcharcol character, + datecol date, + timecol time without time zone, + timestampcol timestamp without time zone, + timestamptzcol timestamp with time zone, + intervalcol interval, + timetzcol time with time zone, + bitcol bit(10), + varbitcol bit varying(16), + numericcol numeric, + uuidcol uuid, + int4rangecol int4range, + lsncol pg_lsn, + boxcol box +) WITH (fillfactor=10, autovacuum_enabled=off); + +INSERT INTO brintest SELECT + repeat(stringu1, 8)::bytea, + substr(stringu1, 1, 1)::"char", + stringu1::name, 142857 * tenthous, + thousand, + twothousand, + repeat(stringu1, 8), + unique1::oid, + format('(%s,%s)', tenthous, twenty)::tid, + (four + 1.0)/(hundred+1), + odd::float8 / (tenthous + 1), + format('%s:00:%s:00:%s:00', to_hex(odd), to_hex(even), to_hex(hundred))::macaddr, + inet '10.2.3.4/24' + tenthous, + cidr '10.2.3/24' + tenthous, + substr(stringu1, 1, 1)::bpchar, + date '1995-08-15' + tenthous, + time '01:20:30' + thousand * interval '18.5 second', + timestamp '1942-07-23 03:05:09' + tenthous * interval '36.38 hours', + timestamptz '1972-10-10 03:00' + thousand * interval '1 hour', + justify_days(justify_hours(tenthous * interval '12 minutes')), + timetz '01:30:20+02' + hundred * interval '15 seconds', + thousand::bit(10), + tenthous::bit(16)::varbit, + tenthous::numeric(36,30) * fivethous * even / (hundred + 1), + format('%s%s-%s-%s-%s-%s%s%s', to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'))::uuid, + int4range(thousand, twothousand), + format('%s/%s%s', odd, even, tenthous)::pg_lsn, + box(point(odd, even), point(thousand, twothousand)) +FROM tenk1 ORDER BY unique2 LIMIT 100; + +-- throw in some NULL's and different values +INSERT INTO brintest (inetcol, cidrcol, int4rangecol) SELECT + inet 'fe80::6e40:8ff:fea9:8c46' + tenthous, + cidr 'fe80::6e40:8ff:fea9:8c46' + tenthous, + 'empty'::int4range +FROM tenk1 ORDER BY thousand, tenthous LIMIT 25; + +CREATE INDEX brinidx ON brintest USING brin ( + byteacol, + charcol, + namecol, + int8col, + int2col, + int4col, + textcol, + oidcol, + tidcol, + float4col, + float8col, + macaddrcol, + inetcol inet_inclusion_ops, + inetcol inet_minmax_ops, + cidrcol inet_inclusion_ops, + cidrcol inet_minmax_ops, + bpcharcol, + datecol, + timecol, + timestampcol, + timestamptzcol, + intervalcol, + timetzcol, + bitcol, + varbitcol, + numericcol, + uuidcol, + int4rangecol, + lsncol, + boxcol +) with (pages_per_range = 1); + +CREATE TABLE brinopers (colname name, typ text, + op text[], value text[], matches int[], + check (cardinality(op) = cardinality(value)), + check (cardinality(op) = cardinality(matches))); + +INSERT INTO brinopers VALUES + ('byteacol', 'bytea', + '{>, >=, =, <=, <}', + '{AAAAAA, AAAAAA, BNAAAABNAAAABNAAAABNAAAABNAAAABNAAAABNAAAABNAAAA, ZZZZZZ, ZZZZZZ}', + '{100, 100, 1, 100, 100}'), + ('charcol', '"char"', + '{>, >=, =, <=, <}', + '{A, A, M, Z, Z}', + '{97, 100, 6, 100, 98}'), + ('namecol', 'name', + '{>, >=, =, <=, <}', + '{AAAAAA, AAAAAA, MAAAAA, ZZAAAA, ZZAAAA}', + '{100, 100, 2, 100, 100}'), + ('int2col', 'int2', + '{>, >=, =, <=, <}', + '{0, 0, 800, 999, 999}', + '{100, 100, 1, 100, 100}'), + ('int2col', 'int4', + '{>, >=, =, <=, <}', + '{0, 0, 800, 999, 1999}', + '{100, 100, 1, 100, 100}'), + ('int2col', 'int8', + '{>, >=, =, <=, <}', + '{0, 0, 800, 999, 1428427143}', + '{100, 100, 1, 100, 100}'), + ('int4col', 'int2', + '{>, >=, =, <=, <}', + '{0, 0, 800, 1999, 1999}', + '{100, 100, 1, 100, 100}'), + ('int4col', 'int4', + '{>, >=, =, <=, <}', + '{0, 0, 800, 1999, 1999}', + '{100, 100, 1, 100, 100}'), + ('int4col', 'int8', + '{>, >=, =, <=, <}', + '{0, 0, 800, 1999, 1428427143}', + '{100, 100, 1, 100, 100}'), + ('int8col', 'int2', + '{>, >=}', + '{0, 0}', + '{100, 100}'), + ('int8col', 'int4', + '{>, >=}', + '{0, 0}', + '{100, 100}'), + ('int8col', 'int8', + '{>, >=, =, <=, <}', + '{0, 0, 1257141600, 1428427143, 1428427143}', + '{100, 100, 1, 100, 100}'), + ('textcol', 'text', + '{>, >=, =, <=, <}', + '{ABABAB, ABABAB, BNAAAABNAAAABNAAAABNAAAABNAAAABNAAAABNAAAABNAAAA, ZZAAAA, ZZAAAA}', + '{100, 100, 1, 100, 100}'), + ('oidcol', 'oid', + '{>, >=, =, <=, <}', + '{0, 0, 8800, 9999, 9999}', + '{100, 100, 1, 100, 100}'), + ('tidcol', 'tid', + '{>, >=, =, <=, <}', + '{"(0,0)", "(0,0)", "(8800,0)", "(9999,19)", "(9999,19)"}', + '{100, 100, 1, 100, 100}'), + ('float4col', 'float4', + '{>, >=, =, <=, <}', + '{0.0103093, 0.0103093, 1, 1, 1}', + '{100, 100, 4, 100, 96}'), + ('float4col', 'float8', + '{>, >=, =, <=, <}', + '{0.0103093, 0.0103093, 1, 1, 1}', + '{100, 100, 4, 100, 96}'), + ('float8col', 'float4', + '{>, >=, =, <=, <}', + '{0, 0, 0, 1.98, 1.98}', + '{99, 100, 1, 100, 100}'), + ('float8col', 'float8', + '{>, >=, =, <=, <}', + '{0, 0, 0, 1.98, 1.98}', + '{99, 100, 1, 100, 100}'), + ('macaddrcol', 'macaddr', + '{>, >=, =, <=, <}', + '{00:00:01:00:00:00, 00:00:01:00:00:00, 2c:00:2d:00:16:00, ff:fe:00:00:00:00, ff:fe:00:00:00:00}', + '{99, 100, 2, 100, 100}'), + ('inetcol', 'inet', + '{&&, =, <, <=, >, >=, >>=, >>, <<=, <<}', + '{10/8, 10.2.14.231/24, 255.255.255.255, 255.255.255.255, 0.0.0.0, 0.0.0.0, 10.2.14.231/24, 10.2.14.231/25, 10.2.14.231/8, 0/0}', + '{100, 1, 100, 100, 125, 125, 2, 2, 100, 100}'), + ('inetcol', 'inet', + '{&&, >>=, <<=, =}', + '{fe80::6e40:8ff:fea9:a673/32, fe80::6e40:8ff:fea9:8c46, fe80::6e40:8ff:fea9:a673/32, fe80::6e40:8ff:fea9:8c46}', + '{25, 1, 25, 1}'), + ('inetcol', 'cidr', + '{&&, <, <=, >, >=, >>=, >>, <<=, <<}', + '{10/8, 255.255.255.255, 255.255.255.255, 0.0.0.0, 0.0.0.0, 10.2.14/24, 10.2.14/25, 10/8, 0/0}', + '{100, 100, 100, 125, 125, 2, 2, 100, 100}'), + ('inetcol', 'cidr', + '{&&, >>=, <<=, =}', + '{fe80::/32, fe80::6e40:8ff:fea9:8c46, fe80::/32, fe80::6e40:8ff:fea9:8c46}', + '{25, 1, 25, 1}'), + ('cidrcol', 'inet', + '{&&, =, <, <=, >, >=, >>=, >>, <<=, <<}', + '{10/8, 10.2.14/24, 255.255.255.255, 255.255.255.255, 0.0.0.0, 0.0.0.0, 10.2.14.231/24, 10.2.14.231/25, 10.2.14.231/8, 0/0}', + '{100, 2, 100, 100, 125, 125, 2, 2, 100, 100}'), + ('cidrcol', 'inet', + '{&&, >>=, <<=, =}', + '{fe80::6e40:8ff:fea9:a673/32, fe80::6e40:8ff:fea9:8c46, fe80::6e40:8ff:fea9:a673/32, fe80::6e40:8ff:fea9:8c46}', + '{25, 1, 25, 1}'), + ('cidrcol', 'cidr', + '{&&, =, <, <=, >, >=, >>=, >>, <<=, <<}', + '{10/8, 10.2.14/24, 255.255.255.255, 255.255.255.255, 0.0.0.0, 0.0.0.0, 10.2.14/24, 10.2.14/25, 10/8, 0/0}', + '{100, 2, 100, 100, 125, 125, 2, 2, 100, 100}'), + ('cidrcol', 'cidr', + '{&&, >>=, <<=, =}', + '{fe80::/32, fe80::6e40:8ff:fea9:8c46, fe80::/32, fe80::6e40:8ff:fea9:8c46}', + '{25, 1, 25, 1}'), + ('bpcharcol', 'bpchar', + '{>, >=, =, <=, <}', + '{A, A, W, Z, Z}', + '{97, 100, 6, 100, 98}'), + ('datecol', 'date', + '{>, >=, =, <=, <}', + '{1995-08-15, 1995-08-15, 2009-12-01, 2022-12-30, 2022-12-30}', + '{100, 100, 1, 100, 100}'), + ('timecol', 'time', + '{>, >=, =, <=, <}', + '{01:20:30, 01:20:30, 02:28:57, 06:28:31.5, 06:28:31.5}', + '{100, 100, 1, 100, 100}'), + ('timestampcol', 'timestamp', + '{>, >=, =, <=, <}', + '{1942-07-23 03:05:09, 1942-07-23 03:05:09, 1964-03-24 19:26:45, 1984-01-20 22:42:21, 1984-01-20 22:42:21}', + '{100, 100, 1, 100, 100}'), + ('timestampcol', 'timestamptz', + '{>, >=, =, <=, <}', + '{1942-07-23 03:05:09, 1942-07-23 03:05:09, 1964-03-24 19:26:45, 1984-01-20 22:42:21, 1984-01-20 22:42:21}', + '{100, 100, 1, 100, 100}'), + ('timestamptzcol', 'timestamptz', + '{>, >=, =, <=, <}', + '{1972-10-10 03:00:00-04, 1972-10-10 03:00:00-04, 1972-10-19 09:00:00-07, 1972-11-20 19:00:00-03, 1972-11-20 19:00:00-03}', + '{100, 100, 1, 100, 100}'), + ('intervalcol', 'interval', + '{>, >=, =, <=, <}', + '{00:00:00, 00:00:00, 1 mons 13 days 12:24, 2 mons 23 days 07:48:00, 1 year}', + '{100, 100, 1, 100, 100}'), + ('timetzcol', 'timetz', + '{>, >=, =, <=, <}', + '{01:30:20+02, 01:30:20+02, 01:35:50+02, 23:55:05+02, 23:55:05+02}', + '{99, 100, 2, 100, 100}'), + ('bitcol', 'bit(10)', + '{>, >=, =, <=, <}', + '{0000000010, 0000000010, 0011011110, 1111111000, 1111111000}', + '{100, 100, 1, 100, 100}'), + ('varbitcol', 'varbit(16)', + '{>, >=, =, <=, <}', + '{0000000000000100, 0000000000000100, 0001010001100110, 1111111111111000, 1111111111111000}', + '{100, 100, 1, 100, 100}'), + ('numericcol', 'numeric', + '{>, >=, =, <=, <}', + '{0.00, 0.01, 2268164.347826086956521739130434782609, 99470151.9, 99470151.9}', + '{100, 100, 1, 100, 100}'), + ('uuidcol', 'uuid', + '{>, >=, =, <=, <}', + '{00040004-0004-0004-0004-000400040004, 00040004-0004-0004-0004-000400040004, 52225222-5222-5222-5222-522252225222, 99989998-9998-9998-9998-999899989998, 99989998-9998-9998-9998-999899989998}', + '{100, 100, 1, 100, 100}'), + ('int4rangecol', 'int4range', + '{<<, &<, &&, &>, >>, @>, <@, =, <, <=, >, >=}', + '{"[10000,)","[10000,)","(,]","[3,4)","[36,44)","(1500,1501]","[3,4)","[222,1222)","[36,44)","[43,1043)","[367,4466)","[519,)"}', + '{53, 53, 53, 53, 50, 22, 72, 1, 74, 75, 34, 21}'), + ('int4rangecol', 'int4range', + '{@>, <@, =, <=, >, >=}', + '{empty, empty, empty, empty, empty, empty}', + '{125, 72, 72, 72, 53, 125}'), + ('int4rangecol', 'int4', + '{@>}', + '{1500}', + '{22}'), + ('lsncol', 'pg_lsn', + '{>, >=, =, <=, <, IS, IS NOT}', + '{0/1200, 0/1200, 44/455222, 198/1999799, 198/1999799, NULL, NULL}', + '{100, 100, 1, 100, 100, 25, 100}'), + ('boxcol', 'point', + '{@>}', + '{"(500,43)"}', + '{11}'), + ('boxcol', 'box', + '{<<, &<, &&, &>, >>, <<|, &<|, |&>, |>>, @>, <@, ~=}', + '{"((1000,2000),(3000,4000))","((1,2),(3000,4000))","((1,2),(3000,4000))","((1,2),(3000,4000))","((1,2),(3,4))","((1000,2000),(3000,4000))","((1,2000),(3,4000))","((1000,2),(3000,4))","((1,2),(3,4))","((1,2),(300,400))","((1,2),(3000,4000))","((222,1222),(44,45))"}', + '{100, 100, 100, 99, 96, 100, 100, 99, 96, 1, 99, 1}'); + +DO $x$ +DECLARE + r record; + r2 record; + cond text; + idx_ctids tid[]; + ss_ctids tid[]; + count int; + plan_ok bool; + plan_line text; +BEGIN + FOR r IN SELECT colname, oper, typ, value[ordinality], matches[ordinality] FROM brinopers, unnest(op) WITH ORDINALITY AS oper LOOP + + -- prepare the condition + IF r.value IS NULL THEN + cond := format('%I %s %L', r.colname, r.oper, r.value); + ELSE + cond := format('%I %s %L::%s', r.colname, r.oper, r.value, r.typ); + END IF; + + -- run the query using the brin index + SET enable_seqscan = 0; + SET enable_bitmapscan = 1; + + plan_ok := false; + FOR plan_line IN EXECUTE format($y$EXPLAIN SELECT array_agg(ctid) FROM brintest WHERE %s $y$, cond) LOOP + IF plan_line LIKE '%Bitmap Heap Scan on brintest%' THEN + plan_ok := true; + END IF; + END LOOP; + IF NOT plan_ok THEN + RAISE WARNING 'did not get bitmap indexscan plan for %', r; + END IF; + + EXECUTE format($y$SELECT array_agg(ctid) FROM brintest WHERE %s $y$, cond) + INTO idx_ctids; + + -- run the query using a seqscan + SET enable_seqscan = 1; + SET enable_bitmapscan = 0; + + plan_ok := false; + FOR plan_line IN EXECUTE format($y$EXPLAIN SELECT array_agg(ctid) FROM brintest WHERE %s $y$, cond) LOOP + IF plan_line LIKE '%Seq Scan on brintest%' THEN + plan_ok := true; + END IF; + END LOOP; + IF NOT plan_ok THEN + RAISE WARNING 'did not get seqscan plan for %', r; + END IF; + + EXECUTE format($y$SELECT array_agg(ctid) FROM brintest WHERE %s $y$, cond) + INTO ss_ctids; + + -- make sure both return the same results + count := array_length(idx_ctids, 1); + + IF NOT (count = array_length(ss_ctids, 1) AND + idx_ctids @> ss_ctids AND + idx_ctids <@ ss_ctids) THEN + -- report the results of each scan to make the differences obvious + RAISE WARNING 'something not right in %: count %', r, count; + SET enable_seqscan = 1; + SET enable_bitmapscan = 0; + FOR r2 IN EXECUTE 'SELECT ' || r.colname || ' FROM brintest WHERE ' || cond LOOP + RAISE NOTICE 'seqscan: %', r2; + END LOOP; + + SET enable_seqscan = 0; + SET enable_bitmapscan = 1; + FOR r2 IN EXECUTE 'SELECT ' || r.colname || ' FROM brintest WHERE ' || cond LOOP + RAISE NOTICE 'bitmapscan: %', r2; + END LOOP; + END IF; + + -- make sure we found expected number of matches + IF count != r.matches THEN RAISE WARNING 'unexpected number of results % for %', count, r; END IF; + END LOOP; +END; +$x$; + +RESET enable_seqscan; +RESET enable_bitmapscan; + +INSERT INTO brintest SELECT + repeat(stringu1, 42)::bytea, + substr(stringu1, 1, 1)::"char", + stringu1::name, 142857 * tenthous, + thousand, + twothousand, + repeat(stringu1, 42), + unique1::oid, + format('(%s,%s)', tenthous, twenty)::tid, + (four + 1.0)/(hundred+1), + odd::float8 / (tenthous + 1), + format('%s:00:%s:00:%s:00', to_hex(odd), to_hex(even), to_hex(hundred))::macaddr, + inet '10.2.3.4' + tenthous, + cidr '10.2.3/24' + tenthous, + substr(stringu1, 1, 1)::bpchar, + date '1995-08-15' + tenthous, + time '01:20:30' + thousand * interval '18.5 second', + timestamp '1942-07-23 03:05:09' + tenthous * interval '36.38 hours', + timestamptz '1972-10-10 03:00' + thousand * interval '1 hour', + justify_days(justify_hours(tenthous * interval '12 minutes')), + timetz '01:30:20' + hundred * interval '15 seconds', + thousand::bit(10), + tenthous::bit(16)::varbit, + tenthous::numeric(36,30) * fivethous * even / (hundred + 1), + format('%s%s-%s-%s-%s-%s%s%s', to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'), to_char(tenthous, 'FM0000'))::uuid, + int4range(thousand, twothousand), + format('%s/%s%s', odd, even, tenthous)::pg_lsn, + box(point(odd, even), point(thousand, twothousand)) +FROM tenk1 ORDER BY unique2 LIMIT 5 OFFSET 5; + +SELECT brin_desummarize_range('brinidx', 0); +VACUUM brintest; -- force a summarization cycle in brinidx + +UPDATE brintest SET int8col = int8col * int4col; +UPDATE brintest SET textcol = '' WHERE textcol IS NOT NULL; + +-- Tests for brin_summarize_new_values +SELECT brin_summarize_new_values('brintest'); -- error, not an index +SELECT brin_summarize_new_values('tenk1_unique1'); -- error, not a BRIN index +SELECT brin_summarize_new_values('brinidx'); -- ok, no change expected + +-- Tests for brin_desummarize_range +SELECT brin_desummarize_range('brinidx', -1); -- error, invalid range +SELECT brin_desummarize_range('brinidx', 0); +SELECT brin_desummarize_range('brinidx', 0); +SELECT brin_desummarize_range('brinidx', 100000000); + +-- Test brin_summarize_range +CREATE TABLE brin_summarize ( + value int +) WITH (fillfactor=10, autovacuum_enabled=false); +CREATE INDEX brin_summarize_idx ON brin_summarize USING brin (value) WITH (pages_per_range=2); +-- Fill a few pages +DO $$ +DECLARE curtid tid; +BEGIN + LOOP + INSERT INTO brin_summarize VALUES (1) RETURNING ctid INTO curtid; + EXIT WHEN curtid > tid '(2, 0)'; + END LOOP; +END; +$$; + +-- summarize one range +SELECT brin_summarize_range('brin_summarize_idx', 0); +-- nothing: already summarized +SELECT brin_summarize_range('brin_summarize_idx', 1); +-- summarize one range +SELECT brin_summarize_range('brin_summarize_idx', 2); +-- nothing: page doesn't exist in table +SELECT brin_summarize_range('brin_summarize_idx', 4294967295); +-- invalid block number values +SELECT brin_summarize_range('brin_summarize_idx', -1); +SELECT brin_summarize_range('brin_summarize_idx', 4294967296); + +-- test value merging in add_value +CREATE TABLE brintest_2 (n numrange); +CREATE INDEX brinidx_2 ON brintest_2 USING brin (n); +INSERT INTO brintest_2 VALUES ('empty'); +INSERT INTO brintest_2 VALUES (numrange(0, 2^1000::numeric)); +INSERT INTO brintest_2 VALUES ('(-1, 0)'); + +SELECT brin_desummarize_range('brinidx', 0); +SELECT brin_summarize_range('brinidx', 0); +DROP TABLE brintest_2; + +-- test brin cost estimates behave sanely based on correlation of values +CREATE TABLE brin_test (a INT, b INT); +INSERT INTO brin_test SELECT x/100,x%100 FROM generate_series(1,10000) x(x); +CREATE INDEX brin_test_a_idx ON brin_test USING brin (a) WITH (pages_per_range = 2); +CREATE INDEX brin_test_b_idx ON brin_test USING brin (b) WITH (pages_per_range = 2); +VACUUM ANALYZE brin_test; + +-- Ensure brin index is used when columns are perfectly correlated +EXPLAIN (COSTS OFF) SELECT * FROM brin_test WHERE a = 1; +-- Ensure brin index is not used when values are not correlated +EXPLAIN (COSTS OFF) SELECT * FROM brin_test WHERE b = 1; + +-- make sure data are properly de-toasted in BRIN index +CREATE TABLE brintest_3 (a text, b text, c text, d text); + +-- long random strings (~2000 chars each, so ~6kB for min/max on two +-- columns) to trigger toasting +WITH rand_value AS (SELECT string_agg(md5(i::text),'') AS val FROM generate_series(1,60) s(i)) +INSERT INTO brintest_3 +SELECT val, val, val, val FROM rand_value; + +CREATE INDEX brin_test_toast_idx ON brintest_3 USING brin (b, c); +DELETE FROM brintest_3; + +-- We need to wait a bit for all transactions to complete, so that the +-- vacuum actually removes the TOAST rows. Creating an index concurrently +-- is a one way to achieve that, because it does exactly such wait. +CREATE INDEX CONCURRENTLY brin_test_temp_idx ON brintest_3(a); +DROP INDEX brin_test_temp_idx; + +-- vacuum the table, to discard TOAST data +VACUUM brintest_3; + +-- retry insert with a different random-looking (but deterministic) value +-- the value is different, and so should replace either min or max in the +-- brin summary +WITH rand_value AS (SELECT string_agg(md5((-i)::text),'') AS val FROM generate_series(1,60) s(i)) +INSERT INTO brintest_3 +SELECT val, val, val, val FROM rand_value; + +-- now try some queries, accessing the brin index +SET enable_seqscan = off; + +EXPLAIN (COSTS OFF) +SELECT * FROM brintest_3 WHERE b < '0'; + +SELECT * FROM brintest_3 WHERE b < '0'; + +DROP TABLE brintest_3; +RESET enable_seqscan; |