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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)');
INSERT INTO BOX_TBL (f1) VALUES ('[1, 2, 3, 4)');
INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4]');
INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4) x');
INSERT INTO BOX_TBL (f1) VALUES ('asdfasdf(ad');
SELECT * FROM BOX_TBL;
SELECT b.*, area(b.f1) as barea
FROM BOX_TBL b;
-- overlap
SELECT b.f1
FROM BOX_TBL b
WHERE b.f1 && box '(2.5,2.5,1.0,1.0)';
-- left-or-overlap (x only)
SELECT b1.*
FROM BOX_TBL b1
WHERE b1.f1 &< box '(2.0,2.0,2.5,2.5)';
-- right-or-overlap (x only)
SELECT b1.*
FROM BOX_TBL b1
WHERE b1.f1 &> box '(2.0,2.0,2.5,2.5)';
-- left of
SELECT b.f1
FROM BOX_TBL b
WHERE b.f1 << box '(3.0,3.0,5.0,5.0)';
-- area <=
SELECT b.f1
FROM BOX_TBL b
WHERE b.f1 <= box '(3.0,3.0,5.0,5.0)';
-- area <
SELECT b.f1
FROM BOX_TBL b
WHERE b.f1 < box '(3.0,3.0,5.0,5.0)';
-- area =
SELECT b.f1
FROM BOX_TBL b
WHERE b.f1 = box '(3.0,3.0,5.0,5.0)';
-- area >
SELECT b.f1
FROM BOX_TBL b -- zero area
WHERE b.f1 > box '(3.5,3.0,4.5,3.0)';
-- area >=
SELECT b.f1
FROM BOX_TBL b -- zero area
WHERE b.f1 >= box '(3.5,3.0,4.5,3.0)';
-- right of
SELECT b.f1
FROM BOX_TBL b
WHERE box '(3.0,3.0,5.0,5.0)' >> b.f1;
-- contained in
SELECT b.f1
FROM BOX_TBL b
WHERE b.f1 <@ box '(0,0,3,3)';
-- contains
SELECT b.f1
FROM BOX_TBL b
WHERE box '(0,0,3,3)' @> b.f1;
-- box equality
SELECT b.f1
FROM BOX_TBL b
WHERE box '(1,1,3,3)' ~= b.f1;
-- center of box, left unary operator
SELECT @@(b1.f1) AS p
FROM BOX_TBL b1;
-- wholly-contained
SELECT b1.*, b2.*
FROM BOX_TBL b1, BOX_TBL b2
WHERE b1.f1 @> b2.f1 and not b1.f1 ~= b2.f1;
SELECT height(f1), width(f1) FROM BOX_TBL;
--
-- 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)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 << '(10,20),(30,40)';
SELECT * FROM box_temp WHERE f1 &< '(10,4.333334),(5,100)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &< '(10,4.333334),(5,100)';
SELECT * FROM box_temp WHERE f1 && '(15,20),(25,30)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 && '(15,20),(25,30)';
SELECT * FROM box_temp WHERE f1 &> '(40,30),(45,50)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &> '(40,30),(45,50)';
SELECT * FROM box_temp WHERE f1 >> '(30,40),(40,30)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 >> '(30,40),(40,30)';
SELECT * FROM box_temp WHERE f1 <<| '(10,4.33334),(5,100)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 <<| '(10,4.33334),(5,100)';
SELECT * FROM box_temp WHERE f1 &<| '(10,4.3333334),(5,1)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &<| '(10,4.3333334),(5,1)';
SELECT * FROM box_temp WHERE f1 |&> '(49.99,49.99),(49.99,49.99)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 |&> '(49.99,49.99),(49.99,49.99)';
SELECT * FROM box_temp WHERE f1 |>> '(37,38),(39,40)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 |>> '(37,38),(39,40)';
SELECT * FROM box_temp WHERE f1 @> '(10,11),(15,16)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 @> '(10,11),(15,15)';
SELECT * FROM box_temp WHERE f1 <@ '(10,15),(30,35)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 <@ '(10,15),(30,35)';
SELECT * FROM box_temp WHERE f1 ~= '(20,20),(40,40)';
EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 ~= '(20,20),(40,40)';
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))';
SELECT count(*) FROM quad_box_tbl WHERE b &< box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b && box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b &> box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b >> box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b >> box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b <<| box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b &<| box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b |&> box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b |>> box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b @> box '((201,301),(202,303))';
SELECT count(*) FROM quad_box_tbl WHERE b <@ box '((100,200),(300,500))';
SELECT count(*) FROM quad_box_tbl WHERE b ~= box '((200,300),(205,305))';
-- 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;
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;
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))';
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;
RESET enable_seqscan;
RESET enable_indexscan;
RESET enable_bitmapscan;
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