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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 '' AS four, * FROM BOX_TBL;
four | 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 '' AS four, b.*, area(b.f1) as barea
FROM BOX_TBL b;
four | 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 '' AS three, b.f1
FROM BOX_TBL b
WHERE b.f1 && box '(2.5,2.5,1.0,1.0)';
three | 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 '' AS two, b1.*
FROM BOX_TBL b1
WHERE b1.f1 &< box '(2.0,2.0,2.5,2.5)';
two | 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 '' AS two, b1.*
FROM BOX_TBL b1
WHERE b1.f1 &> box '(2.0,2.0,2.5,2.5)';
two | f1
-----+---------------------
| (2.5,3.5),(2.5,2.5)
| (3,3),(3,3)
(2 rows)
-- left of
SELECT '' AS two, b.f1
FROM BOX_TBL b
WHERE b.f1 << box '(3.0,3.0,5.0,5.0)';
two | f1
-----+---------------------
| (2,2),(0,0)
| (-2,2),(-8,-10)
| (2.5,3.5),(2.5,2.5)
(3 rows)
-- area <=
SELECT '' AS four, b.f1
FROM BOX_TBL b
WHERE b.f1 <= box '(3.0,3.0,5.0,5.0)';
four | 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 '' AS two, b.f1
FROM BOX_TBL b
WHERE b.f1 < box '(3.0,3.0,5.0,5.0)';
two | f1
-----+---------------------
| (2.5,3.5),(2.5,2.5)
| (3,3),(3,3)
(2 rows)
-- area =
SELECT '' AS two, b.f1
FROM BOX_TBL b
WHERE b.f1 = box '(3.0,3.0,5.0,5.0)';
two | f1
-----+-------------
| (2,2),(0,0)
| (3,3),(1,1)
(2 rows)
-- area >
SELECT '' AS two, b.f1
FROM BOX_TBL b -- zero area
WHERE b.f1 > box '(3.5,3.0,4.5,3.0)';
two | f1
-----+-----------------
| (2,2),(0,0)
| (3,3),(1,1)
| (-2,2),(-8,-10)
(3 rows)
-- area >=
SELECT '' AS four, b.f1
FROM BOX_TBL b -- zero area
WHERE b.f1 >= box '(3.5,3.0,4.5,3.0)';
four | 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 '' AS two, b.f1
FROM BOX_TBL b
WHERE box '(3.0,3.0,5.0,5.0)' >> b.f1;
two | f1
-----+---------------------
| (2,2),(0,0)
| (-2,2),(-8,-10)
| (2.5,3.5),(2.5,2.5)
(3 rows)
-- contained in
SELECT '' AS three, b.f1
FROM BOX_TBL b
WHERE b.f1 <@ box '(0,0,3,3)';
three | f1
-------+-------------
| (2,2),(0,0)
| (3,3),(1,1)
| (3,3),(3,3)
(3 rows)
-- contains
SELECT '' AS three, b.f1
FROM BOX_TBL b
WHERE box '(0,0,3,3)' @> b.f1;
three | f1
-------+-------------
| (2,2),(0,0)
| (3,3),(1,1)
| (3,3),(3,3)
(3 rows)
-- box equality
SELECT '' AS one, b.f1
FROM BOX_TBL b
WHERE box '(1,1,3,3)' ~= b.f1;
one | f1
-----+-------------
| (3,3),(1,1)
(1 row)
-- center of box, left unary operator
SELECT '' AS four, @@(b1.f1) AS p
FROM BOX_TBL b1;
four | p
------+---------
| (1,1)
| (2,2)
| (-5,-4)
| (2.5,3)
| (3,3)
(5 rows)
-- wholly-contained
SELECT '' AS one, b1.*, b2.*
FROM BOX_TBL b1, BOX_TBL b2
WHERE b1.f1 @> b2.f1 and not b1.f1 ~= b2.f1;
one | f1 | f1
-----+-------------+-------------
| (3,3),(1,1) | (3,3),(3,3)
(1 row)
SELECT '' AS four, height(f1), width(f1) FROM BOX_TBL;
four | 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;
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