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-rw-r--r--src/test/regress/expected/box.out641
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diff --git a/src/test/regress/expected/box.out b/src/test/regress/expected/box.out
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+++ b/src/test/regress/expected/box.out
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+--
+-- BOX
+--
+--
+-- box logic
+-- o
+-- 3 o--|X
+-- | o|
+-- 2 +-+-+ |
+-- | | | |
+-- 1 | o-+-o
+-- | |
+-- 0 +---+
+--
+-- 0 1 2 3
+--
+-- boxes are specified by two points, given by four floats x1,y1,x2,y2
+CREATE TABLE BOX_TBL (f1 box);
+INSERT INTO BOX_TBL (f1) VALUES ('(2.0,2.0,0.0,0.0)');
+INSERT INTO BOX_TBL (f1) VALUES ('(1.0,1.0,3.0,3.0)');
+INSERT INTO BOX_TBL (f1) VALUES ('((-8, 2), (-2, -10))');
+-- degenerate cases where the box is a line or a point
+-- note that lines and points boxes all have zero area
+INSERT INTO BOX_TBL (f1) VALUES ('(2.5, 2.5, 2.5,3.5)');
+INSERT INTO BOX_TBL (f1) VALUES ('(3.0, 3.0,3.0,3.0)');
+-- badly formatted box inputs
+INSERT INTO BOX_TBL (f1) VALUES ('(2.3, 4.5)');
+ERROR: invalid input syntax for type box: "(2.3, 4.5)"
+LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('(2.3, 4.5)');
+ ^
+INSERT INTO BOX_TBL (f1) VALUES ('[1, 2, 3, 4)');
+ERROR: invalid input syntax for type box: "[1, 2, 3, 4)"
+LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('[1, 2, 3, 4)');
+ ^
+INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4]');
+ERROR: invalid input syntax for type box: "(1, 2, 3, 4]"
+LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4]');
+ ^
+INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4) x');
+ERROR: invalid input syntax for type box: "(1, 2, 3, 4) x"
+LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4) x');
+ ^
+INSERT INTO BOX_TBL (f1) VALUES ('asdfasdf(ad');
+ERROR: invalid input syntax for type box: "asdfasdf(ad"
+LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('asdfasdf(ad');
+ ^
+SELECT * FROM BOX_TBL;
+ f1
+---------------------
+ (2,2),(0,0)
+ (3,3),(1,1)
+ (-2,2),(-8,-10)
+ (2.5,3.5),(2.5,2.5)
+ (3,3),(3,3)
+(5 rows)
+
+SELECT b.*, area(b.f1) as barea
+ FROM BOX_TBL b;
+ f1 | barea
+---------------------+-------
+ (2,2),(0,0) | 4
+ (3,3),(1,1) | 4
+ (-2,2),(-8,-10) | 72
+ (2.5,3.5),(2.5,2.5) | 0
+ (3,3),(3,3) | 0
+(5 rows)
+
+-- overlap
+SELECT b.f1
+ FROM BOX_TBL b
+ WHERE b.f1 && box '(2.5,2.5,1.0,1.0)';
+ f1
+---------------------
+ (2,2),(0,0)
+ (3,3),(1,1)
+ (2.5,3.5),(2.5,2.5)
+(3 rows)
+
+-- left-or-overlap (x only)
+SELECT b1.*
+ FROM BOX_TBL b1
+ WHERE b1.f1 &< box '(2.0,2.0,2.5,2.5)';
+ f1
+---------------------
+ (2,2),(0,0)
+ (-2,2),(-8,-10)
+ (2.5,3.5),(2.5,2.5)
+(3 rows)
+
+-- right-or-overlap (x only)
+SELECT b1.*
+ FROM BOX_TBL b1
+ WHERE b1.f1 &> box '(2.0,2.0,2.5,2.5)';
+ f1
+---------------------
+ (2.5,3.5),(2.5,2.5)
+ (3,3),(3,3)
+(2 rows)
+
+-- left of
+SELECT b.f1
+ FROM BOX_TBL b
+ WHERE b.f1 << box '(3.0,3.0,5.0,5.0)';
+ f1
+---------------------
+ (2,2),(0,0)
+ (-2,2),(-8,-10)
+ (2.5,3.5),(2.5,2.5)
+(3 rows)
+
+-- area <=
+SELECT b.f1
+ FROM BOX_TBL b
+ WHERE b.f1 <= box '(3.0,3.0,5.0,5.0)';
+ f1
+---------------------
+ (2,2),(0,0)
+ (3,3),(1,1)
+ (2.5,3.5),(2.5,2.5)
+ (3,3),(3,3)
+(4 rows)
+
+-- area <
+SELECT b.f1
+ FROM BOX_TBL b
+ WHERE b.f1 < box '(3.0,3.0,5.0,5.0)';
+ f1
+---------------------
+ (2.5,3.5),(2.5,2.5)
+ (3,3),(3,3)
+(2 rows)
+
+-- area =
+SELECT b.f1
+ FROM BOX_TBL b
+ WHERE b.f1 = box '(3.0,3.0,5.0,5.0)';
+ f1
+-------------
+ (2,2),(0,0)
+ (3,3),(1,1)
+(2 rows)
+
+-- area >
+SELECT b.f1
+ FROM BOX_TBL b -- zero area
+ WHERE b.f1 > box '(3.5,3.0,4.5,3.0)';
+ f1
+-----------------
+ (2,2),(0,0)
+ (3,3),(1,1)
+ (-2,2),(-8,-10)
+(3 rows)
+
+-- area >=
+SELECT b.f1
+ FROM BOX_TBL b -- zero area
+ WHERE b.f1 >= box '(3.5,3.0,4.5,3.0)';
+ f1
+---------------------
+ (2,2),(0,0)
+ (3,3),(1,1)
+ (-2,2),(-8,-10)
+ (2.5,3.5),(2.5,2.5)
+ (3,3),(3,3)
+(5 rows)
+
+-- right of
+SELECT b.f1
+ FROM BOX_TBL b
+ WHERE box '(3.0,3.0,5.0,5.0)' >> b.f1;
+ f1
+---------------------
+ (2,2),(0,0)
+ (-2,2),(-8,-10)
+ (2.5,3.5),(2.5,2.5)
+(3 rows)
+
+-- contained in
+SELECT b.f1
+ FROM BOX_TBL b
+ WHERE b.f1 <@ box '(0,0,3,3)';
+ f1
+-------------
+ (2,2),(0,0)
+ (3,3),(1,1)
+ (3,3),(3,3)
+(3 rows)
+
+-- contains
+SELECT b.f1
+ FROM BOX_TBL b
+ WHERE box '(0,0,3,3)' @> b.f1;
+ f1
+-------------
+ (2,2),(0,0)
+ (3,3),(1,1)
+ (3,3),(3,3)
+(3 rows)
+
+-- box equality
+SELECT b.f1
+ FROM BOX_TBL b
+ WHERE box '(1,1,3,3)' ~= b.f1;
+ f1
+-------------
+ (3,3),(1,1)
+(1 row)
+
+-- center of box, left unary operator
+SELECT @@(b1.f1) AS p
+ FROM BOX_TBL b1;
+ p
+---------
+ (1,1)
+ (2,2)
+ (-5,-4)
+ (2.5,3)
+ (3,3)
+(5 rows)
+
+-- wholly-contained
+SELECT b1.*, b2.*
+ FROM BOX_TBL b1, BOX_TBL b2
+ WHERE b1.f1 @> b2.f1 and not b1.f1 ~= b2.f1;
+ f1 | f1
+-------------+-------------
+ (3,3),(1,1) | (3,3),(3,3)
+(1 row)
+
+SELECT height(f1), width(f1) FROM BOX_TBL;
+ height | width
+--------+-------
+ 2 | 2
+ 2 | 2
+ 12 | 6
+ 1 | 0
+ 0 | 0
+(5 rows)
+
+--
+-- Test the SP-GiST index
+--
+CREATE TEMPORARY TABLE box_temp (f1 box);
+INSERT INTO box_temp
+ SELECT box(point(i, i), point(i * 2, i * 2))
+ FROM generate_series(1, 50) AS i;
+CREATE INDEX box_spgist ON box_temp USING spgist (f1);
+INSERT INTO box_temp
+ VALUES (NULL),
+ ('(0,0)(0,100)'),
+ ('(-3,4.3333333333)(40,1)'),
+ ('(0,100)(0,infinity)'),
+ ('(-infinity,0)(0,infinity)'),
+ ('(-infinity,-infinity)(infinity,infinity)');
+SET enable_seqscan = false;
+SELECT * FROM box_temp WHERE f1 << '(10,20),(30,40)';
+ f1
+----------------------------
+ (2,2),(1,1)
+ (4,4),(2,2)
+ (6,6),(3,3)
+ (8,8),(4,4)
+ (0,100),(0,0)
+ (0,Infinity),(0,100)
+ (0,Infinity),(-Infinity,0)
+(7 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 << '(10,20),(30,40)';
+ QUERY PLAN
+----------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 << '(30,40),(10,20)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 &< '(10,4.333334),(5,100)';
+ f1
+----------------------------
+ (2,2),(1,1)
+ (4,4),(2,2)
+ (6,6),(3,3)
+ (8,8),(4,4)
+ (10,10),(5,5)
+ (0,100),(0,0)
+ (0,Infinity),(0,100)
+ (0,Infinity),(-Infinity,0)
+(8 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &< '(10,4.333334),(5,100)';
+ QUERY PLAN
+----------------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 &< '(10,100),(5,4.333334)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 && '(15,20),(25,30)';
+ f1
+-------------------------------------------
+ (20,20),(10,10)
+ (22,22),(11,11)
+ (24,24),(12,12)
+ (26,26),(13,13)
+ (28,28),(14,14)
+ (30,30),(15,15)
+ (32,32),(16,16)
+ (34,34),(17,17)
+ (36,36),(18,18)
+ (38,38),(19,19)
+ (40,40),(20,20)
+ (42,42),(21,21)
+ (44,44),(22,22)
+ (46,46),(23,23)
+ (48,48),(24,24)
+ (50,50),(25,25)
+ (Infinity,Infinity),(-Infinity,-Infinity)
+(17 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 && '(15,20),(25,30)';
+ QUERY PLAN
+----------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 && '(25,30),(15,20)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 &> '(40,30),(45,50)';
+ f1
+-------------------
+ (80,80),(40,40)
+ (82,82),(41,41)
+ (84,84),(42,42)
+ (86,86),(43,43)
+ (88,88),(44,44)
+ (90,90),(45,45)
+ (92,92),(46,46)
+ (94,94),(47,47)
+ (96,96),(48,48)
+ (98,98),(49,49)
+ (100,100),(50,50)
+(11 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &> '(40,30),(45,50)';
+ QUERY PLAN
+----------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 &> '(45,50),(40,30)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 >> '(30,40),(40,30)';
+ f1
+-------------------
+ (82,82),(41,41)
+ (84,84),(42,42)
+ (86,86),(43,43)
+ (88,88),(44,44)
+ (90,90),(45,45)
+ (92,92),(46,46)
+ (94,94),(47,47)
+ (96,96),(48,48)
+ (98,98),(49,49)
+ (100,100),(50,50)
+(10 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 >> '(30,40),(40,30)';
+ QUERY PLAN
+----------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 >> '(40,40),(30,30)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 <<| '(10,4.33334),(5,100)';
+ f1
+--------------------------
+ (2,2),(1,1)
+ (4,4),(2,2)
+ (40,4.3333333333),(-3,1)
+(3 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 <<| '(10,4.33334),(5,100)';
+ QUERY PLAN
+----------------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 <<| '(10,100),(5,4.33334)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 &<| '(10,4.3333334),(5,1)';
+ f1
+--------------------------
+ (2,2),(1,1)
+ (4,4),(2,2)
+ (40,4.3333333333),(-3,1)
+(3 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &<| '(10,4.3333334),(5,1)';
+ QUERY PLAN
+----------------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 &<| '(10,4.3333334),(5,1)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 |&> '(49.99,49.99),(49.99,49.99)';
+ f1
+----------------------
+ (100,100),(50,50)
+ (0,Infinity),(0,100)
+(2 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 |&> '(49.99,49.99),(49.99,49.99)';
+ QUERY PLAN
+-----------------------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 |&> '(49.99,49.99),(49.99,49.99)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 |>> '(37,38),(39,40)';
+ f1
+----------------------
+ (82,82),(41,41)
+ (84,84),(42,42)
+ (86,86),(43,43)
+ (88,88),(44,44)
+ (90,90),(45,45)
+ (92,92),(46,46)
+ (94,94),(47,47)
+ (96,96),(48,48)
+ (98,98),(49,49)
+ (100,100),(50,50)
+ (0,Infinity),(0,100)
+(11 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 |>> '(37,38),(39,40)';
+ QUERY PLAN
+-----------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 |>> '(39,40),(37,38)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 @> '(10,11),(15,16)';
+ f1
+-------------------------------------------
+ (16,16),(8,8)
+ (18,18),(9,9)
+ (20,20),(10,10)
+ (Infinity,Infinity),(-Infinity,-Infinity)
+(4 rows)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 @> '(10,11),(15,15)';
+ QUERY PLAN
+----------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 @> '(15,15),(10,11)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 <@ '(10,15),(30,35)';
+ f1
+-----------------
+ (30,30),(15,15)
+(1 row)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 <@ '(10,15),(30,35)';
+ QUERY PLAN
+----------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 <@ '(30,35),(10,15)'::box)
+(2 rows)
+
+SELECT * FROM box_temp WHERE f1 ~= '(20,20),(40,40)';
+ f1
+-----------------
+ (40,40),(20,20)
+(1 row)
+
+EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 ~= '(20,20),(40,40)';
+ QUERY PLAN
+----------------------------------------------
+ Index Only Scan using box_spgist on box_temp
+ Index Cond: (f1 ~= '(40,40),(20,20)'::box)
+(2 rows)
+
+RESET enable_seqscan;
+DROP INDEX box_spgist;
+--
+-- Test the SP-GiST index on the larger volume of data
+--
+CREATE TABLE quad_box_tbl (id int, b box);
+INSERT INTO quad_box_tbl
+ SELECT (x - 1) * 100 + y, box(point(x * 10, y * 10), point(x * 10 + 5, y * 10 + 5))
+ FROM generate_series(1, 100) x,
+ generate_series(1, 100) y;
+-- insert repeating data to test allTheSame
+INSERT INTO quad_box_tbl
+ SELECT i, '((200, 300),(210, 310))'
+ FROM generate_series(10001, 11000) AS i;
+INSERT INTO quad_box_tbl
+VALUES
+ (11001, NULL),
+ (11002, NULL),
+ (11003, '((-infinity,-infinity),(infinity,infinity))'),
+ (11004, '((-infinity,100),(-infinity,500))'),
+ (11005, '((-infinity,-infinity),(700,infinity))');
+CREATE INDEX quad_box_tbl_idx ON quad_box_tbl USING spgist(b);
+-- get reference results for ORDER BY distance from seq scan
+SET enable_seqscan = ON;
+SET enable_indexscan = OFF;
+SET enable_bitmapscan = OFF;
+CREATE TABLE quad_box_tbl_ord_seq1 AS
+SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
+FROM quad_box_tbl;
+CREATE TABLE quad_box_tbl_ord_seq2 AS
+SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
+FROM quad_box_tbl WHERE b <@ box '((200,300),(500,600))';
+SET enable_seqscan = OFF;
+SET enable_indexscan = ON;
+SET enable_bitmapscan = ON;
+SELECT count(*) FROM quad_box_tbl WHERE b << box '((100,200),(300,500))';
+ count
+-------
+ 901
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b &< box '((100,200),(300,500))';
+ count
+-------
+ 3901
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b && box '((100,200),(300,500))';
+ count
+-------
+ 1653
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b &> box '((100,200),(300,500))';
+ count
+-------
+ 10100
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b >> box '((100,200),(300,500))';
+ count
+-------
+ 7000
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b >> box '((100,200),(300,500))';
+ count
+-------
+ 7000
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b <<| box '((100,200),(300,500))';
+ count
+-------
+ 1900
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b &<| box '((100,200),(300,500))';
+ count
+-------
+ 5901
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b |&> box '((100,200),(300,500))';
+ count
+-------
+ 9100
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b |>> box '((100,200),(300,500))';
+ count
+-------
+ 5000
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b @> box '((201,301),(202,303))';
+ count
+-------
+ 1003
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b <@ box '((100,200),(300,500))';
+ count
+-------
+ 1600
+(1 row)
+
+SELECT count(*) FROM quad_box_tbl WHERE b ~= box '((200,300),(205,305))';
+ count
+-------
+ 1
+(1 row)
+
+-- test ORDER BY distance
+SET enable_indexscan = ON;
+SET enable_bitmapscan = OFF;
+EXPLAIN (COSTS OFF)
+SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
+FROM quad_box_tbl;
+ QUERY PLAN
+---------------------------------------------------------
+ WindowAgg
+ -> Index Scan using quad_box_tbl_idx on quad_box_tbl
+ Order By: (b <-> '(123,456)'::point)
+(3 rows)
+
+CREATE TEMP TABLE quad_box_tbl_ord_idx1 AS
+SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
+FROM quad_box_tbl;
+SELECT *
+FROM quad_box_tbl_ord_seq1 seq FULL JOIN quad_box_tbl_ord_idx1 idx
+ ON seq.n = idx.n AND seq.id = idx.id AND
+ (seq.dist = idx.dist OR seq.dist IS NULL AND idx.dist IS NULL)
+WHERE seq.id IS NULL OR idx.id IS NULL;
+ n | dist | id | n | dist | id
+---+------+----+---+------+----
+(0 rows)
+
+EXPLAIN (COSTS OFF)
+SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
+FROM quad_box_tbl WHERE b <@ box '((200,300),(500,600))';
+ QUERY PLAN
+---------------------------------------------------------
+ WindowAgg
+ -> Index Scan using quad_box_tbl_idx on quad_box_tbl
+ Index Cond: (b <@ '(500,600),(200,300)'::box)
+ Order By: (b <-> '(123,456)'::point)
+(4 rows)
+
+CREATE TEMP TABLE quad_box_tbl_ord_idx2 AS
+SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
+FROM quad_box_tbl WHERE b <@ box '((200,300),(500,600))';
+SELECT *
+FROM quad_box_tbl_ord_seq2 seq FULL JOIN quad_box_tbl_ord_idx2 idx
+ ON seq.n = idx.n AND seq.id = idx.id AND
+ (seq.dist = idx.dist OR seq.dist IS NULL AND idx.dist IS NULL)
+WHERE seq.id IS NULL OR idx.id IS NULL;
+ n | dist | id | n | dist | id
+---+------+----+---+------+----
+(0 rows)
+
+RESET enable_seqscan;
+RESET enable_indexscan;
+RESET enable_bitmapscan;