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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)');
-- 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)"
INSERT INTO BOX_TBL (f1) VALUES ('asdfasdf(ad');
ERROR: invalid input syntax for type box: "asdfasdf(ad"
SELECT '' AS four, * FROM BOX_TBL;
four | f1
------+---------------------
| (2,2),(0,0)
| (3,3),(1,1)
| (2.5,3.5),(2.5,2.5)
| (3,3),(3,3)
(4 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
| (2.5,3.5),(2.5,2.5) | 0
| (3,3),(3,3) | 0
(4 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)
| (2.5,3.5),(2.5,2.5)
(2 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)
| (2.5,3.5),(2.5,2.5)
(2 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 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)
| (2.5,3.5),(2.5,2.5)
| (3,3),(3,3)
(4 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)
| (2.5,3.5),(2.5,2.5)
(2 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)
| (2.5,3)
| (3,3)
(4 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
| 1 | 0
| 0 | 0
(4 rows)
|
