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+-- Generic extended statistics support
+--
+-- Note: tables for which we check estimated row counts should be created
+-- with autovacuum_enabled = off, so that we don't have unstable results
+-- from auto-analyze happening when we didn't expect it.
+--
+-- check the number of estimated/actual rows in the top node
+create function check_estimated_rows(text) returns table (estimated int, actual int)
+language plpgsql as
+$$
+declare
+ ln text;
+ tmp text[];
+ first_row bool := true;
+begin
+ for ln in
+ execute format('explain analyze %s', $1)
+ loop
+ if first_row then
+ first_row := false;
+ tmp := regexp_match(ln, 'rows=(\d*) .* rows=(\d*)');
+ return query select tmp[1]::int, tmp[2]::int;
+ end if;
+ end loop;
+end;
+$$;
+-- Verify failures
+CREATE TABLE ext_stats_test (x int, y int, z int);
+CREATE STATISTICS tst;
+ERROR: syntax error at or near ";"
+LINE 1: CREATE STATISTICS tst;
+ ^
+CREATE STATISTICS tst ON a, b;
+ERROR: syntax error at or near ";"
+LINE 1: CREATE STATISTICS tst ON a, b;
+ ^
+CREATE STATISTICS tst FROM sometab;
+ERROR: syntax error at or near "FROM"
+LINE 1: CREATE STATISTICS tst FROM sometab;
+ ^
+CREATE STATISTICS tst ON a, b FROM nonexistent;
+ERROR: relation "nonexistent" does not exist
+CREATE STATISTICS tst ON a, b FROM ext_stats_test;
+ERROR: column "a" does not exist
+CREATE STATISTICS tst ON x, x, y FROM ext_stats_test;
+ERROR: duplicate column name in statistics definition
+CREATE STATISTICS tst ON x + y FROM ext_stats_test;
+ERROR: only simple column references are allowed in CREATE STATISTICS
+CREATE STATISTICS tst ON (x, y) FROM ext_stats_test;
+ERROR: only simple column references are allowed in CREATE STATISTICS
+CREATE STATISTICS tst (unrecognized) ON x, y FROM ext_stats_test;
+ERROR: unrecognized statistics kind "unrecognized"
+DROP TABLE ext_stats_test;
+-- Ensure stats are dropped sanely, and test IF NOT EXISTS while at it
+CREATE TABLE ab1 (a INTEGER, b INTEGER, c INTEGER);
+CREATE STATISTICS IF NOT EXISTS ab1_a_b_stats ON a, b FROM ab1;
+CREATE STATISTICS IF NOT EXISTS ab1_a_b_stats ON a, b FROM ab1;
+NOTICE: statistics object "ab1_a_b_stats" already exists, skipping
+DROP STATISTICS ab1_a_b_stats;
+CREATE SCHEMA regress_schema_2;
+CREATE STATISTICS regress_schema_2.ab1_a_b_stats ON a, b FROM ab1;
+-- Let's also verify the pg_get_statisticsobjdef output looks sane.
+SELECT pg_get_statisticsobjdef(oid) FROM pg_statistic_ext WHERE stxname = 'ab1_a_b_stats';
+ pg_get_statisticsobjdef
+-------------------------------------------------------------------
+ CREATE STATISTICS regress_schema_2.ab1_a_b_stats ON a, b FROM ab1
+(1 row)
+
+DROP STATISTICS regress_schema_2.ab1_a_b_stats;
+-- Ensure statistics are dropped when columns are
+CREATE STATISTICS ab1_b_c_stats ON b, c FROM ab1;
+CREATE STATISTICS ab1_a_b_c_stats ON a, b, c FROM ab1;
+CREATE STATISTICS ab1_b_a_stats ON b, a FROM ab1;
+ALTER TABLE ab1 DROP COLUMN a;
+\d ab1
+ Table "public.ab1"
+ Column | Type | Collation | Nullable | Default
+--------+---------+-----------+----------+---------
+ b | integer | | |
+ c | integer | | |
+Statistics objects:
+ "public"."ab1_b_c_stats" (ndistinct, dependencies, mcv) ON b, c FROM ab1
+
+-- Ensure statistics are dropped when table is
+SELECT stxname FROM pg_statistic_ext WHERE stxname LIKE 'ab1%';
+ stxname
+---------------
+ ab1_b_c_stats
+(1 row)
+
+DROP TABLE ab1;
+SELECT stxname FROM pg_statistic_ext WHERE stxname LIKE 'ab1%';
+ stxname
+---------
+(0 rows)
+
+-- Ensure things work sanely with SET STATISTICS 0
+CREATE TABLE ab1 (a INTEGER, b INTEGER);
+ALTER TABLE ab1 ALTER a SET STATISTICS 0;
+INSERT INTO ab1 SELECT a, a%23 FROM generate_series(1, 1000) a;
+CREATE STATISTICS ab1_a_b_stats ON a, b FROM ab1;
+ANALYZE ab1;
+WARNING: statistics object "public.ab1_a_b_stats" could not be computed for relation "public.ab1"
+ALTER TABLE ab1 ALTER a SET STATISTICS -1;
+-- setting statistics target 0 skips the statistics, without printing any message, so check catalog
+ALTER STATISTICS ab1_a_b_stats SET STATISTICS 0;
+\d ab1
+ Table "public.ab1"
+ Column | Type | Collation | Nullable | Default
+--------+---------+-----------+----------+---------
+ a | integer | | |
+ b | integer | | |
+Statistics objects:
+ "public"."ab1_a_b_stats" (ndistinct, dependencies, mcv) ON a, b FROM ab1; STATISTICS 0
+
+ANALYZE ab1;
+SELECT stxname, stxdndistinct, stxddependencies, stxdmcv
+ FROM pg_statistic_ext s, pg_statistic_ext_data d
+ WHERE s.stxname = 'ab1_a_b_stats'
+ AND d.stxoid = s.oid;
+ stxname | stxdndistinct | stxddependencies | stxdmcv
+---------------+---------------+------------------+---------
+ ab1_a_b_stats | | |
+(1 row)
+
+ALTER STATISTICS ab1_a_b_stats SET STATISTICS -1;
+\d+ ab1
+ Table "public.ab1"
+ Column | Type | Collation | Nullable | Default | Storage | Stats target | Description
+--------+---------+-----------+----------+---------+---------+--------------+-------------
+ a | integer | | | | plain | |
+ b | integer | | | | plain | |
+Statistics objects:
+ "public"."ab1_a_b_stats" (ndistinct, dependencies, mcv) ON a, b FROM ab1
+
+-- partial analyze doesn't build stats either
+ANALYZE ab1 (a);
+WARNING: statistics object "public.ab1_a_b_stats" could not be computed for relation "public.ab1"
+ANALYZE ab1;
+DROP TABLE ab1;
+ALTER STATISTICS ab1_a_b_stats SET STATISTICS 0;
+ERROR: statistics object "ab1_a_b_stats" does not exist
+ALTER STATISTICS IF EXISTS ab1_a_b_stats SET STATISTICS 0;
+NOTICE: statistics object "ab1_a_b_stats" does not exist, skipping
+-- Ensure we can build statistics for tables with inheritance.
+CREATE TABLE ab1 (a INTEGER, b INTEGER);
+CREATE TABLE ab1c () INHERITS (ab1);
+INSERT INTO ab1 VALUES (1,1);
+CREATE STATISTICS ab1_a_b_stats ON a, b FROM ab1;
+ANALYZE ab1;
+DROP TABLE ab1 CASCADE;
+NOTICE: drop cascades to table ab1c
+-- Verify supported object types for extended statistics
+CREATE schema tststats;
+CREATE TABLE tststats.t (a int, b int, c text);
+CREATE INDEX ti ON tststats.t (a, b);
+CREATE SEQUENCE tststats.s;
+CREATE VIEW tststats.v AS SELECT * FROM tststats.t;
+CREATE MATERIALIZED VIEW tststats.mv AS SELECT * FROM tststats.t;
+CREATE TYPE tststats.ty AS (a int, b int, c text);
+CREATE FOREIGN DATA WRAPPER extstats_dummy_fdw;
+CREATE SERVER extstats_dummy_srv FOREIGN DATA WRAPPER extstats_dummy_fdw;
+CREATE FOREIGN TABLE tststats.f (a int, b int, c text) SERVER extstats_dummy_srv;
+CREATE TABLE tststats.pt (a int, b int, c text) PARTITION BY RANGE (a, b);
+CREATE TABLE tststats.pt1 PARTITION OF tststats.pt FOR VALUES FROM (-10, -10) TO (10, 10);
+CREATE STATISTICS tststats.s1 ON a, b FROM tststats.t;
+CREATE STATISTICS tststats.s2 ON a, b FROM tststats.ti;
+ERROR: relation "ti" is not a table, foreign table, or materialized view
+CREATE STATISTICS tststats.s3 ON a, b FROM tststats.s;
+ERROR: relation "s" is not a table, foreign table, or materialized view
+CREATE STATISTICS tststats.s4 ON a, b FROM tststats.v;
+ERROR: relation "v" is not a table, foreign table, or materialized view
+CREATE STATISTICS tststats.s5 ON a, b FROM tststats.mv;
+CREATE STATISTICS tststats.s6 ON a, b FROM tststats.ty;
+ERROR: relation "ty" is not a table, foreign table, or materialized view
+CREATE STATISTICS tststats.s7 ON a, b FROM tststats.f;
+CREATE STATISTICS tststats.s8 ON a, b FROM tststats.pt;
+CREATE STATISTICS tststats.s9 ON a, b FROM tststats.pt1;
+DO $$
+DECLARE
+ relname text := reltoastrelid::regclass FROM pg_class WHERE oid = 'tststats.t'::regclass;
+BEGIN
+ EXECUTE 'CREATE STATISTICS tststats.s10 ON a, b FROM ' || relname;
+EXCEPTION WHEN wrong_object_type THEN
+ RAISE NOTICE 'stats on toast table not created';
+END;
+$$;
+NOTICE: stats on toast table not created
+DROP SCHEMA tststats CASCADE;
+NOTICE: drop cascades to 7 other objects
+DETAIL: drop cascades to table tststats.t
+drop cascades to sequence tststats.s
+drop cascades to view tststats.v
+drop cascades to materialized view tststats.mv
+drop cascades to type tststats.ty
+drop cascades to foreign table tststats.f
+drop cascades to table tststats.pt
+DROP FOREIGN DATA WRAPPER extstats_dummy_fdw CASCADE;
+NOTICE: drop cascades to server extstats_dummy_srv
+-- n-distinct tests
+CREATE TABLE ndistinct (
+ filler1 TEXT,
+ filler2 NUMERIC,
+ a INT,
+ b INT,
+ filler3 DATE,
+ c INT,
+ d INT
+)
+WITH (autovacuum_enabled = off);
+-- over-estimates when using only per-column statistics
+INSERT INTO ndistinct (a, b, c, filler1)
+ SELECT i/100, i/100, i/100, cash_words((i/100)::money)
+ FROM generate_series(1,1000) s(i);
+ANALYZE ndistinct;
+-- Group Aggregate, due to over-estimate of the number of groups
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b');
+ estimated | actual
+-----------+--------
+ 100 | 11
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY b, c');
+ estimated | actual
+-----------+--------
+ 100 | 11
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b, c');
+ estimated | actual
+-----------+--------
+ 100 | 11
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b, c, d');
+ estimated | actual
+-----------+--------
+ 200 | 11
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY b, c, d');
+ estimated | actual
+-----------+--------
+ 200 | 11
+(1 row)
+
+-- correct command
+CREATE STATISTICS s10 ON a, b, c FROM ndistinct;
+ANALYZE ndistinct;
+SELECT s.stxkind, d.stxdndistinct
+ FROM pg_statistic_ext s, pg_statistic_ext_data d
+ WHERE s.stxrelid = 'ndistinct'::regclass
+ AND d.stxoid = s.oid;
+ stxkind | stxdndistinct
+---------+-----------------------------------------------------
+ {d,f,m} | {"3, 4": 11, "3, 6": 11, "4, 6": 11, "3, 4, 6": 11}
+(1 row)
+
+-- minor improvement, make sure the ctid does not break the matching
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY ctid, a, b');
+ estimated | actual
+-----------+--------
+ 1000 | 1000
+(1 row)
+
+-- Hash Aggregate, thanks to estimates improved by the statistic
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b');
+ estimated | actual
+-----------+--------
+ 11 | 11
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY b, c');
+ estimated | actual
+-----------+--------
+ 11 | 11
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b, c');
+ estimated | actual
+-----------+--------
+ 11 | 11
+(1 row)
+
+-- last two plans keep using Group Aggregate, because 'd' is not covered
+-- by the statistic and while it's NULL-only we assume 200 values for it
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b, c, d');
+ estimated | actual
+-----------+--------
+ 200 | 11
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY b, c, d');
+ estimated | actual
+-----------+--------
+ 200 | 11
+(1 row)
+
+TRUNCATE TABLE ndistinct;
+-- under-estimates when using only per-column statistics
+INSERT INTO ndistinct (a, b, c, filler1)
+ SELECT mod(i,50), mod(i,51), mod(i,32),
+ cash_words(mod(i,33)::int::money)
+ FROM generate_series(1,5000) s(i);
+ANALYZE ndistinct;
+SELECT s.stxkind, d.stxdndistinct
+ FROM pg_statistic_ext s, pg_statistic_ext_data d
+ WHERE s.stxrelid = 'ndistinct'::regclass
+ AND d.stxoid = s.oid;
+ stxkind | stxdndistinct
+---------+------------------------------------------------------------
+ {d,f,m} | {"3, 4": 2550, "3, 6": 800, "4, 6": 1632, "3, 4, 6": 5000}
+(1 row)
+
+-- correct estimates
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b');
+ estimated | actual
+-----------+--------
+ 2550 | 2550
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b, c');
+ estimated | actual
+-----------+--------
+ 5000 | 5000
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b, c, d');
+ estimated | actual
+-----------+--------
+ 5000 | 5000
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY b, c, d');
+ estimated | actual
+-----------+--------
+ 1632 | 1632
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, d');
+ estimated | actual
+-----------+--------
+ 500 | 50
+(1 row)
+
+DROP STATISTICS s10;
+SELECT s.stxkind, d.stxdndistinct
+ FROM pg_statistic_ext s, pg_statistic_ext_data d
+ WHERE s.stxrelid = 'ndistinct'::regclass
+ AND d.stxoid = s.oid;
+ stxkind | stxdndistinct
+---------+---------------
+(0 rows)
+
+-- dropping the statistics results in under-estimates
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b');
+ estimated | actual
+-----------+--------
+ 500 | 2550
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b, c');
+ estimated | actual
+-----------+--------
+ 500 | 5000
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, b, c, d');
+ estimated | actual
+-----------+--------
+ 500 | 5000
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY b, c, d');
+ estimated | actual
+-----------+--------
+ 500 | 1632
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT COUNT(*) FROM ndistinct GROUP BY a, d');
+ estimated | actual
+-----------+--------
+ 500 | 50
+(1 row)
+
+-- functional dependencies tests
+CREATE TABLE functional_dependencies (
+ filler1 TEXT,
+ filler2 NUMERIC,
+ a INT,
+ b TEXT,
+ filler3 DATE,
+ c INT,
+ d TEXT
+)
+WITH (autovacuum_enabled = off);
+CREATE INDEX fdeps_ab_idx ON functional_dependencies (a, b);
+CREATE INDEX fdeps_abc_idx ON functional_dependencies (a, b, c);
+-- random data (no functional dependencies)
+INSERT INTO functional_dependencies (a, b, c, filler1)
+ SELECT mod(i, 23), mod(i, 29), mod(i, 31), i FROM generate_series(1,5000) s(i);
+ANALYZE functional_dependencies;
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 8 | 8
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 1 | 1
+(1 row)
+
+-- create statistics
+CREATE STATISTICS func_deps_stat (dependencies) ON a, b, c FROM functional_dependencies;
+ANALYZE functional_dependencies;
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 8 | 8
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 1 | 1
+(1 row)
+
+-- a => b, a => c, b => c
+TRUNCATE functional_dependencies;
+DROP STATISTICS func_deps_stat;
+INSERT INTO functional_dependencies (a, b, c, filler1)
+ SELECT mod(i,100), mod(i,50), mod(i,25), i FROM generate_series(1,5000) s(i);
+ANALYZE functional_dependencies;
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+-- IN
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 51) AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 2 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 51) AND b IN (''1'', ''2'')');
+ estimated | actual
+-----------+--------
+ 4 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 2, 51, 52) AND b IN (''1'', ''2'')');
+ estimated | actual
+-----------+--------
+ 8 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 2, 51, 52) AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 4 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 26, 51, 76) AND b IN (''1'', ''26'') AND c = 1');
+ estimated | actual
+-----------+--------
+ 1 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 26, 51, 76) AND b IN (''1'', ''26'') AND c IN (1)');
+ estimated | actual
+-----------+--------
+ 1 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 2, 26, 27, 51, 52, 76, 77) AND b IN (''1'', ''2'', ''26'', ''27'') AND c IN (1, 2)');
+ estimated | actual
+-----------+--------
+ 3 | 400
+(1 row)
+
+-- OR clauses referencing the same attribute
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE (a = 1 OR a = 51) AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 2 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE (a = 1 OR a = 51) AND (b = ''1'' OR b = ''2'')');
+ estimated | actual
+-----------+--------
+ 4 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE (a = 1 OR a = 2 OR a = 51 OR a = 52) AND (b = ''1'' OR b = ''2'')');
+ estimated | actual
+-----------+--------
+ 8 | 200
+(1 row)
+
+-- OR clauses referencing different attributes
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE (a = 1 OR b = ''1'') AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 3 | 100
+(1 row)
+
+-- ANY
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 51]) AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 2 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 51]) AND b = ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 4 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 2, 51, 52]) AND b = ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 8 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 26, 51, 76]) AND b = ANY (ARRAY[''1'', ''26'']) AND c = 1');
+ estimated | actual
+-----------+--------
+ 1 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 26, 51, 76]) AND b = ANY (ARRAY[''1'', ''26'']) AND c = ANY (ARRAY[1])');
+ estimated | actual
+-----------+--------
+ 1 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 2, 26, 27, 51, 52, 76, 77]) AND b = ANY (ARRAY[''1'', ''2'', ''26'', ''27'']) AND c = ANY (ARRAY[1, 2])');
+ estimated | actual
+-----------+--------
+ 3 | 400
+(1 row)
+
+-- ANY with inequalities should not benefit from functional dependencies
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a < ANY (ARRAY[1, 51]) AND b > ''1''');
+ estimated | actual
+-----------+--------
+ 2472 | 2400
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a >= ANY (ARRAY[1, 51]) AND b <= ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 1441 | 1250
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a <= ANY (ARRAY[1, 2, 51, 52]) AND b >= ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 3909 | 2550
+(1 row)
+
+-- ALL (should not benefit from functional dependencies)
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 51) AND b = ALL (ARRAY[''1''])');
+ estimated | actual
+-----------+--------
+ 2 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 51) AND b = ALL (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 1 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 2, 51, 52) AND b = ALL (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 1 | 0
+(1 row)
+
+-- create statistics
+CREATE STATISTICS func_deps_stat (dependencies) ON a, b, c FROM functional_dependencies;
+ANALYZE functional_dependencies;
+-- print the detected dependencies
+SELECT dependencies FROM pg_stats_ext WHERE statistics_name = 'func_deps_stat';
+ dependencies
+------------------------------------------------------------------------------------------------------------
+ {"3 => 4": 1.000000, "3 => 6": 1.000000, "4 => 6": 1.000000, "3, 4 => 6": 1.000000, "3, 6 => 4": 1.000000}
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+-- IN
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 51) AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 100 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 51) AND b IN (''1'', ''2'')');
+ estimated | actual
+-----------+--------
+ 100 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 2, 51, 52) AND b IN (''1'', ''2'')');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 2, 51, 52) AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 100 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 26, 51, 76) AND b IN (''1'', ''26'') AND c = 1');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 26, 51, 76) AND b IN (''1'', ''26'') AND c IN (1)');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 2, 26, 27, 51, 52, 76, 77) AND b IN (''1'', ''2'', ''26'', ''27'') AND c IN (1, 2)');
+ estimated | actual
+-----------+--------
+ 400 | 400
+(1 row)
+
+-- OR clauses referencing the same attribute
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE (a = 1 OR a = 51) AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 99 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE (a = 1 OR a = 51) AND (b = ''1'' OR b = ''2'')');
+ estimated | actual
+-----------+--------
+ 99 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE (a = 1 OR a = 2 OR a = 51 OR a = 52) AND (b = ''1'' OR b = ''2'')');
+ estimated | actual
+-----------+--------
+ 197 | 200
+(1 row)
+
+-- OR clauses referencing different attributes are incompatible
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE (a = 1 OR b = ''1'') AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 3 | 100
+(1 row)
+
+-- ANY
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 51]) AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 100 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 51]) AND b = ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 100 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 2, 51, 52]) AND b = ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 26, 51, 76]) AND b = ANY (ARRAY[''1'', ''26'']) AND c = 1');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 26, 51, 76]) AND b = ANY (ARRAY[''1'', ''26'']) AND c = ANY (ARRAY[1])');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = ANY (ARRAY[1, 2, 26, 27, 51, 52, 76, 77]) AND b = ANY (ARRAY[''1'', ''2'', ''26'', ''27'']) AND c = ANY (ARRAY[1, 2])');
+ estimated | actual
+-----------+--------
+ 400 | 400
+(1 row)
+
+-- ANY with inequalities should not benefit from functional dependencies
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a < ANY (ARRAY[1, 51]) AND b > ''1''');
+ estimated | actual
+-----------+--------
+ 2472 | 2400
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a >= ANY (ARRAY[1, 51]) AND b <= ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 1441 | 1250
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a <= ANY (ARRAY[1, 2, 51, 52]) AND b >= ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 3909 | 2550
+(1 row)
+
+-- ALL (should not benefit from functional dependencies)
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 51) AND b = ALL (ARRAY[''1''])');
+ estimated | actual
+-----------+--------
+ 2 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 51) AND b = ALL (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 1 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a IN (1, 2, 51, 52) AND b = ALL (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 1 | 0
+(1 row)
+
+-- changing the type of column c causes its single-column stats to be dropped,
+-- giving a default estimate of 0.005 * 5000 = 25 for (c = 1); check multiple
+-- clauses estimated with functional dependencies does not exceed this
+ALTER TABLE functional_dependencies ALTER COLUMN c TYPE numeric;
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 25 | 50
+(1 row)
+
+ANALYZE functional_dependencies;
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+-- check the ability to use multiple functional dependencies
+CREATE TABLE functional_dependencies_multi (
+ a INTEGER,
+ b INTEGER,
+ c INTEGER,
+ d INTEGER
+)
+WITH (autovacuum_enabled = off);
+INSERT INTO functional_dependencies_multi (a, b, c, d)
+ SELECT
+ mod(i,7),
+ mod(i,7),
+ mod(i,11),
+ mod(i,11)
+ FROM generate_series(1,5000) s(i);
+ANALYZE functional_dependencies_multi;
+-- estimates without any functional dependencies
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE a = 0 AND b = 0');
+ estimated | actual
+-----------+--------
+ 102 | 714
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE 0 = a AND 0 = b');
+ estimated | actual
+-----------+--------
+ 102 | 714
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE c = 0 AND d = 0');
+ estimated | actual
+-----------+--------
+ 41 | 454
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE a = 0 AND b = 0 AND c = 0 AND d = 0');
+ estimated | actual
+-----------+--------
+ 1 | 64
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE 0 = a AND b = 0 AND 0 = c AND d = 0');
+ estimated | actual
+-----------+--------
+ 1 | 64
+(1 row)
+
+-- create separate functional dependencies
+CREATE STATISTICS functional_dependencies_multi_1 (dependencies) ON a, b FROM functional_dependencies_multi;
+CREATE STATISTICS functional_dependencies_multi_2 (dependencies) ON c, d FROM functional_dependencies_multi;
+ANALYZE functional_dependencies_multi;
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE a = 0 AND b = 0');
+ estimated | actual
+-----------+--------
+ 714 | 714
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE 0 = a AND 0 = b');
+ estimated | actual
+-----------+--------
+ 714 | 714
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE c = 0 AND d = 0');
+ estimated | actual
+-----------+--------
+ 454 | 454
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE a = 0 AND b = 0 AND c = 0 AND d = 0');
+ estimated | actual
+-----------+--------
+ 65 | 64
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM functional_dependencies_multi WHERE 0 = a AND b = 0 AND 0 = c AND d = 0');
+ estimated | actual
+-----------+--------
+ 65 | 64
+(1 row)
+
+DROP TABLE functional_dependencies_multi;
+-- MCV lists
+CREATE TABLE mcv_lists (
+ filler1 TEXT,
+ filler2 NUMERIC,
+ a INT,
+ b VARCHAR,
+ filler3 DATE,
+ c INT,
+ d TEXT
+)
+WITH (autovacuum_enabled = off);
+-- random data (no MCV list)
+INSERT INTO mcv_lists (a, b, c, filler1)
+ SELECT mod(i,37), mod(i,41), mod(i,43), mod(i,47) FROM generate_series(1,5000) s(i);
+ANALYZE mcv_lists;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 3 | 4
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 1 | 1
+(1 row)
+
+-- create statistics
+CREATE STATISTICS mcv_lists_stats (mcv) ON a, b, c FROM mcv_lists;
+ANALYZE mcv_lists;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 3 | 4
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 1 | 1
+(1 row)
+
+-- 100 distinct combinations, all in the MCV list
+TRUNCATE mcv_lists;
+DROP STATISTICS mcv_lists_stats;
+INSERT INTO mcv_lists (a, b, c, filler1)
+ SELECT mod(i,100), mod(i,50), mod(i,25), i FROM generate_series(1,5000) s(i);
+ANALYZE mcv_lists;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE 1 = a AND ''1'' = b');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < 1 AND b < ''1''');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE 1 > a AND ''1'' > b');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a <= 0 AND b <= ''0''');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE 0 >= a AND ''0'' >= b');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < 5 AND b < ''1'' AND c < 5');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < 5 AND ''1'' > b AND 5 > c');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a <= 4 AND b <= ''0'' AND c <= 4');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE 4 >= a AND ''0'' >= b AND 4 >= c');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 OR b = ''1'' OR c = 1');
+ estimated | actual
+-----------+--------
+ 343 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 OR b = ''1'' OR c = 1 OR d IS NOT NULL');
+ estimated | actual
+-----------+--------
+ 343 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IN (1, 2, 51, 52) AND b IN ( ''1'', ''2'')');
+ estimated | actual
+-----------+--------
+ 8 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IN (1, 2, 51, 52, NULL) AND b IN ( ''1'', ''2'', NULL)');
+ estimated | actual
+-----------+--------
+ 8 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = ANY (ARRAY[1, 2, 51, 52]) AND b = ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 8 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = ANY (ARRAY[NULL, 1, 2, 51, 52]) AND b = ANY (ARRAY[''1'', ''2'', NULL])');
+ estimated | actual
+-----------+--------
+ 8 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a <= ANY (ARRAY[1, 2, 3]) AND b IN (''1'', ''2'', ''3'')');
+ estimated | actual
+-----------+--------
+ 26 | 150
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a <= ANY (ARRAY[1, NULL, 2, 3]) AND b IN (''1'', ''2'', NULL, ''3'')');
+ estimated | actual
+-----------+--------
+ 26 | 150
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < ALL (ARRAY[4, 5]) AND c > ANY (ARRAY[1, 2, 3])');
+ estimated | actual
+-----------+--------
+ 10 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < ALL (ARRAY[4, 5]) AND c > ANY (ARRAY[1, 2, 3, NULL])');
+ estimated | actual
+-----------+--------
+ 10 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < ALL (ARRAY[4, 5]) AND b IN (''1'', ''2'', ''3'') AND c > ANY (ARRAY[1, 2, 3])');
+ estimated | actual
+-----------+--------
+ 1 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < ALL (ARRAY[4, 5]) AND b IN (''1'', ''2'', NULL, ''3'') AND c > ANY (ARRAY[1, 2, NULL, 3])');
+ estimated | actual
+-----------+--------
+ 1 | 100
+(1 row)
+
+-- create statistics
+CREATE STATISTICS mcv_lists_stats (mcv) ON a, b, c FROM mcv_lists;
+ANALYZE mcv_lists;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE 1 = a AND ''1'' = b');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < 1 AND b < ''1''');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE 1 > a AND ''1'' > b');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a <= 0 AND b <= ''0''');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE 0 >= a AND ''0'' >= b');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1'' AND c = 1');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < 5 AND b < ''1'' AND c < 5');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < 5 AND ''1'' > b AND 5 > c');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a <= 4 AND b <= ''0'' AND c <= 4');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE 4 >= a AND ''0'' >= b AND 4 >= c');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 OR b = ''1'' OR c = 1');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IN (1, 2, 51, 52) AND b IN ( ''1'', ''2'')');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IN (1, 2, 51, 52, NULL) AND b IN ( ''1'', ''2'', NULL)');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = ANY (ARRAY[1, 2, 51, 52]) AND b = ANY (ARRAY[''1'', ''2''])');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = ANY (ARRAY[NULL, 1, 2, 51, 52]) AND b = ANY (ARRAY[''1'', ''2'', NULL])');
+ estimated | actual
+-----------+--------
+ 200 | 200
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a <= ANY (ARRAY[1, 2, 3]) AND b IN (''1'', ''2'', ''3'')');
+ estimated | actual
+-----------+--------
+ 150 | 150
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a <= ANY (ARRAY[1, NULL, 2, 3]) AND b IN (''1'', ''2'', NULL, ''3'')');
+ estimated | actual
+-----------+--------
+ 150 | 150
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < ALL (ARRAY[4, 5]) AND c > ANY (ARRAY[1, 2, 3])');
+ estimated | actual
+-----------+--------
+ 100 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < ALL (ARRAY[4, 5]) AND c > ANY (ARRAY[1, 2, 3, NULL])');
+ estimated | actual
+-----------+--------
+ 100 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < ALL (ARRAY[4, 5]) AND b IN (''1'', ''2'', ''3'') AND c > ANY (ARRAY[1, 2, 3])');
+ estimated | actual
+-----------+--------
+ 100 | 100
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a < ALL (ARRAY[4, 5]) AND b IN (''1'', ''2'', NULL, ''3'') AND c > ANY (ARRAY[1, 2, NULL, 3])');
+ estimated | actual
+-----------+--------
+ 100 | 100
+(1 row)
+
+-- we can't use the statistic for OR clauses that are not fully covered (missing 'd' attribute)
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 OR b = ''1'' OR c = 1 OR d IS NOT NULL');
+ estimated | actual
+-----------+--------
+ 343 | 200
+(1 row)
+
+-- check change of unrelated column type does not reset the MCV statistics
+ALTER TABLE mcv_lists ALTER COLUMN d TYPE VARCHAR(64);
+SELECT d.stxdmcv IS NOT NULL
+ FROM pg_statistic_ext s, pg_statistic_ext_data d
+ WHERE s.stxname = 'mcv_lists_stats'
+ AND d.stxoid = s.oid;
+ ?column?
+----------
+ t
+(1 row)
+
+-- check change of column type resets the MCV statistics
+ALTER TABLE mcv_lists ALTER COLUMN c TYPE numeric;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+ANALYZE mcv_lists;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 AND b = ''1''');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+-- 100 distinct combinations with NULL values, all in the MCV list
+TRUNCATE mcv_lists;
+DROP STATISTICS mcv_lists_stats;
+INSERT INTO mcv_lists (a, b, c, filler1)
+ SELECT
+ (CASE WHEN mod(i,100) = 1 THEN NULL ELSE mod(i,100) END),
+ (CASE WHEN mod(i,50) = 1 THEN NULL ELSE mod(i,50) END),
+ (CASE WHEN mod(i,25) = 1 THEN NULL ELSE mod(i,25) END),
+ i
+ FROM generate_series(1,5000) s(i);
+ANALYZE mcv_lists;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NULL AND b IS NULL');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NULL AND b IS NULL AND c IS NULL');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NULL AND b IS NOT NULL');
+ estimated | actual
+-----------+--------
+ 49 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NOT NULL AND b IS NULL AND c IS NOT NULL');
+ estimated | actual
+-----------+--------
+ 95 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IN (0, 1) AND b IN (''0'', ''1'')');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+-- create statistics
+CREATE STATISTICS mcv_lists_stats (mcv) ON a, b, c FROM mcv_lists;
+ANALYZE mcv_lists;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NULL AND b IS NULL');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NULL AND b IS NULL AND c IS NULL');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NULL AND b IS NOT NULL');
+ estimated | actual
+-----------+--------
+ 1 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NOT NULL AND b IS NULL AND c IS NOT NULL');
+ estimated | actual
+-----------+--------
+ 1 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IN (0, 1) AND b IN (''0'', ''1'')');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+-- test pg_mcv_list_items with a very simple (single item) MCV list
+TRUNCATE mcv_lists;
+INSERT INTO mcv_lists (a, b, c) SELECT 1, 2, 3 FROM generate_series(1,1000) s(i);
+ANALYZE mcv_lists;
+SELECT m.*
+ FROM pg_statistic_ext s, pg_statistic_ext_data d,
+ pg_mcv_list_items(d.stxdmcv) m
+ WHERE s.stxname = 'mcv_lists_stats'
+ AND d.stxoid = s.oid;
+ index | values | nulls | frequency | base_frequency
+-------+---------+---------+-----------+----------------
+ 0 | {1,2,3} | {f,f,f} | 1 | 1
+(1 row)
+
+-- 2 distinct combinations with NULL values, all in the MCV list
+TRUNCATE mcv_lists;
+DROP STATISTICS mcv_lists_stats;
+INSERT INTO mcv_lists (a, b, c, d)
+ SELECT
+ NULL, -- always NULL
+ (CASE WHEN mod(i,2) = 0 THEN NULL ELSE 'x' END),
+ (CASE WHEN mod(i,2) = 0 THEN NULL ELSE 0 END),
+ (CASE WHEN mod(i,2) = 0 THEN NULL ELSE 'x' END)
+ FROM generate_series(1,5000) s(i);
+ANALYZE mcv_lists;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE b = ''x'' OR d = ''x''');
+ estimated | actual
+-----------+--------
+ 3750 | 2500
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 OR b = ''x'' OR d = ''x''');
+ estimated | actual
+-----------+--------
+ 3750 | 2500
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NULL AND (b = ''x'' OR d = ''x'')');
+ estimated | actual
+-----------+--------
+ 3750 | 2500
+(1 row)
+
+-- create statistics
+CREATE STATISTICS mcv_lists_stats (mcv) ON a, b, d FROM mcv_lists;
+ANALYZE mcv_lists;
+-- test pg_mcv_list_items with MCV list containing variable-length data and NULLs
+SELECT m.*
+ FROM pg_statistic_ext s, pg_statistic_ext_data d,
+ pg_mcv_list_items(d.stxdmcv) m
+ WHERE s.stxname = 'mcv_lists_stats'
+ AND d.stxoid = s.oid;
+ index | values | nulls | frequency | base_frequency
+-------+------------------+---------+-----------+----------------
+ 0 | {NULL,x,x} | {t,f,f} | 0.5 | 0.25
+ 1 | {NULL,NULL,NULL} | {t,t,t} | 0.5 | 0.25
+(2 rows)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE b = ''x'' OR d = ''x''');
+ estimated | actual
+-----------+--------
+ 2500 | 2500
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a = 1 OR b = ''x'' OR d = ''x''');
+ estimated | actual
+-----------+--------
+ 2500 | 2500
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists WHERE a IS NULL AND (b = ''x'' OR d = ''x'')');
+ estimated | actual
+-----------+--------
+ 2500 | 2500
+(1 row)
+
+-- mcv with pass-by-ref fixlen types, e.g. uuid
+CREATE TABLE mcv_lists_uuid (
+ a UUID,
+ b UUID,
+ c UUID
+)
+WITH (autovacuum_enabled = off);
+INSERT INTO mcv_lists_uuid (a, b, c)
+ SELECT
+ md5(mod(i,100)::text)::uuid,
+ md5(mod(i,50)::text)::uuid,
+ md5(mod(i,25)::text)::uuid
+ FROM generate_series(1,5000) s(i);
+ANALYZE mcv_lists_uuid;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_uuid WHERE a = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc'' AND b = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc''');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_uuid WHERE a = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc'' AND b = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc'' AND c = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc''');
+ estimated | actual
+-----------+--------
+ 1 | 50
+(1 row)
+
+CREATE STATISTICS mcv_lists_uuid_stats (mcv) ON a, b, c
+ FROM mcv_lists_uuid;
+ANALYZE mcv_lists_uuid;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_uuid WHERE a = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc'' AND b = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc''');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_uuid WHERE a = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc'' AND b = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc'' AND c = ''1679091c-5a88-0faf-6fb5-e6087eb1b2dc''');
+ estimated | actual
+-----------+--------
+ 50 | 50
+(1 row)
+
+DROP TABLE mcv_lists_uuid;
+-- mcv with arrays
+CREATE TABLE mcv_lists_arrays (
+ a TEXT[],
+ b NUMERIC[],
+ c INT[]
+)
+WITH (autovacuum_enabled = off);
+INSERT INTO mcv_lists_arrays (a, b, c)
+ SELECT
+ ARRAY[md5((i/100)::text), md5((i/100-1)::text), md5((i/100+1)::text)],
+ ARRAY[(i/100-1)::numeric/1000, (i/100)::numeric/1000, (i/100+1)::numeric/1000],
+ ARRAY[(i/100-1), i/100, (i/100+1)]
+ FROM generate_series(1,5000) s(i);
+CREATE STATISTICS mcv_lists_arrays_stats (mcv) ON a, b, c
+ FROM mcv_lists_arrays;
+ANALYZE mcv_lists_arrays;
+-- mcv with bool
+CREATE TABLE mcv_lists_bool (
+ a BOOL,
+ b BOOL,
+ c BOOL
+)
+WITH (autovacuum_enabled = off);
+INSERT INTO mcv_lists_bool (a, b, c)
+ SELECT
+ (mod(i,2) = 0), (mod(i,4) = 0), (mod(i,8) = 0)
+ FROM generate_series(1,10000) s(i);
+ANALYZE mcv_lists_bool;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_bool WHERE a AND b AND c');
+ estimated | actual
+-----------+--------
+ 156 | 1250
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_bool WHERE NOT a AND b AND c');
+ estimated | actual
+-----------+--------
+ 156 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_bool WHERE NOT a AND NOT b AND c');
+ estimated | actual
+-----------+--------
+ 469 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_bool WHERE NOT a AND b AND NOT c');
+ estimated | actual
+-----------+--------
+ 1094 | 0
+(1 row)
+
+CREATE STATISTICS mcv_lists_bool_stats (mcv) ON a, b, c
+ FROM mcv_lists_bool;
+ANALYZE mcv_lists_bool;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_bool WHERE a AND b AND c');
+ estimated | actual
+-----------+--------
+ 1250 | 1250
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_bool WHERE NOT a AND b AND c');
+ estimated | actual
+-----------+--------
+ 1 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_bool WHERE NOT a AND NOT b AND c');
+ estimated | actual
+-----------+--------
+ 1 | 0
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_bool WHERE NOT a AND b AND NOT c');
+ estimated | actual
+-----------+--------
+ 1 | 0
+(1 row)
+
+-- check the ability to use multiple MCV lists
+CREATE TABLE mcv_lists_multi (
+ a INTEGER,
+ b INTEGER,
+ c INTEGER,
+ d INTEGER
+)
+WITH (autovacuum_enabled = off);
+INSERT INTO mcv_lists_multi (a, b, c, d)
+ SELECT
+ mod(i,5),
+ mod(i,5),
+ mod(i,7),
+ mod(i,7)
+ FROM generate_series(1,5000) s(i);
+ANALYZE mcv_lists_multi;
+-- estimates without any mcv statistics
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_multi WHERE a = 0 AND b = 0');
+ estimated | actual
+-----------+--------
+ 200 | 1000
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_multi WHERE c = 0 AND d = 0');
+ estimated | actual
+-----------+--------
+ 102 | 714
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_multi WHERE a = 0 AND b = 0 AND c = 0 AND d = 0');
+ estimated | actual
+-----------+--------
+ 4 | 142
+(1 row)
+
+-- create separate MCV statistics
+CREATE STATISTICS mcv_lists_multi_1 (mcv) ON a, b FROM mcv_lists_multi;
+CREATE STATISTICS mcv_lists_multi_2 (mcv) ON c, d FROM mcv_lists_multi;
+ANALYZE mcv_lists_multi;
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_multi WHERE a = 0 AND b = 0');
+ estimated | actual
+-----------+--------
+ 1000 | 1000
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_multi WHERE c = 0 AND d = 0');
+ estimated | actual
+-----------+--------
+ 714 | 714
+(1 row)
+
+SELECT * FROM check_estimated_rows('SELECT * FROM mcv_lists_multi WHERE a = 0 AND b = 0 AND c = 0 AND d = 0');
+ estimated | actual
+-----------+--------
+ 143 | 142
+(1 row)
+
+DROP TABLE mcv_lists_multi;
+-- Permission tests. Users should not be able to see specific data values in
+-- the extended statistics, if they lack permission to see those values in
+-- the underlying table.
+--
+-- Currently this is only relevant for MCV stats.
+CREATE SCHEMA tststats;
+CREATE TABLE tststats.priv_test_tbl (
+ a int,
+ b int
+);
+INSERT INTO tststats.priv_test_tbl
+ SELECT mod(i,5), mod(i,10) FROM generate_series(1,100) s(i);
+CREATE STATISTICS tststats.priv_test_stats (mcv) ON a, b
+ FROM tststats.priv_test_tbl;
+ANALYZE tststats.priv_test_tbl;
+-- User with no access
+CREATE USER regress_stats_user1;
+GRANT USAGE ON SCHEMA tststats TO regress_stats_user1;
+SET SESSION AUTHORIZATION regress_stats_user1;
+SELECT * FROM tststats.priv_test_tbl; -- Permission denied
+ERROR: permission denied for table priv_test_tbl
+-- Attempt to gain access using a leaky operator
+CREATE FUNCTION op_leak(int, int) RETURNS bool
+ AS 'BEGIN RAISE NOTICE ''op_leak => %, %'', $1, $2; RETURN $1 < $2; END'
+ LANGUAGE plpgsql;
+CREATE OPERATOR <<< (procedure = op_leak, leftarg = int, rightarg = int,
+ restrict = scalarltsel);
+SELECT * FROM tststats.priv_test_tbl WHERE a <<< 0 AND b <<< 0; -- Permission denied
+ERROR: permission denied for table priv_test_tbl
+DELETE FROM tststats.priv_test_tbl WHERE a <<< 0 AND b <<< 0; -- Permission denied
+ERROR: permission denied for table priv_test_tbl
+-- Grant access via a security barrier view, but hide all data
+RESET SESSION AUTHORIZATION;
+CREATE VIEW tststats.priv_test_view WITH (security_barrier=true)
+ AS SELECT * FROM tststats.priv_test_tbl WHERE false;
+GRANT SELECT, DELETE ON tststats.priv_test_view TO regress_stats_user1;
+-- Should now have access via the view, but see nothing and leak nothing
+SET SESSION AUTHORIZATION regress_stats_user1;
+SELECT * FROM tststats.priv_test_view WHERE a <<< 0 AND b <<< 0; -- Should not leak
+ a | b
+---+---
+(0 rows)
+
+DELETE FROM tststats.priv_test_view WHERE a <<< 0 AND b <<< 0; -- Should not leak
+-- Grant table access, but hide all data with RLS
+RESET SESSION AUTHORIZATION;
+ALTER TABLE tststats.priv_test_tbl ENABLE ROW LEVEL SECURITY;
+GRANT SELECT, DELETE ON tststats.priv_test_tbl TO regress_stats_user1;
+-- Should now have direct table access, but see nothing and leak nothing
+SET SESSION AUTHORIZATION regress_stats_user1;
+SELECT * FROM tststats.priv_test_tbl WHERE a <<< 0 AND b <<< 0; -- Should not leak
+ a | b
+---+---
+(0 rows)
+
+DELETE FROM tststats.priv_test_tbl WHERE a <<< 0 AND b <<< 0; -- Should not leak
+-- Tidy up
+DROP OPERATOR <<< (int, int);
+DROP FUNCTION op_leak(int, int);
+RESET SESSION AUTHORIZATION;
+DROP SCHEMA tststats CASCADE;
+NOTICE: drop cascades to 2 other objects
+DETAIL: drop cascades to table tststats.priv_test_tbl
+drop cascades to view tststats.priv_test_view
+DROP USER regress_stats_user1;