218 lines
4.8 KiB
Plaintext
218 lines
4.8 KiB
Plaintext
--
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-- BOX
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--
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--
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-- box logic
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-- o
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-- 3 o--|X
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-- | o|
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-- 2 +-+-+ |
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-- | | | |
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-- 1 | o-+-o
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-- | |
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-- 0 +---+
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--
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-- 0 1 2 3
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--
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-- boxes are specified by two points, given by four floats x1,y1,x2,y2
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CREATE TABLE BOX_TBL (f1 box);
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INSERT INTO BOX_TBL (f1) VALUES ('(2.0,2.0,0.0,0.0)');
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INSERT INTO BOX_TBL (f1) VALUES ('(1.0,1.0,3.0,3.0)');
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-- degenerate cases where the box is a line or a point
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-- note that lines and points boxes all have zero area
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INSERT INTO BOX_TBL (f1) VALUES ('(2.5, 2.5, 2.5,3.5)');
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INSERT INTO BOX_TBL (f1) VALUES ('(3.0, 3.0,3.0,3.0)');
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-- badly formatted box inputs
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INSERT INTO BOX_TBL (f1) VALUES ('(2.3, 4.5)');
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ERROR: invalid input syntax for type box: "(2.3, 4.5)"
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LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('(2.3, 4.5)');
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^
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INSERT INTO BOX_TBL (f1) VALUES ('asdfasdf(ad');
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ERROR: invalid input syntax for type box: "asdfasdf(ad"
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LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('asdfasdf(ad');
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^
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SELECT '' AS four, * FROM BOX_TBL;
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four | f1
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------+---------------------
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| (2,2),(0,0)
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| (3,3),(1,1)
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| (2.5,3.5),(2.5,2.5)
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| (3,3),(3,3)
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(4 rows)
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SELECT '' AS four, b.*, area(b.f1) as barea
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FROM BOX_TBL b;
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four | f1 | barea
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------+---------------------+-------
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| (2,2),(0,0) | 4
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| (3,3),(1,1) | 4
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| (2.5,3.5),(2.5,2.5) | 0
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| (3,3),(3,3) | 0
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(4 rows)
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-- overlap
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SELECT '' AS three, b.f1
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FROM BOX_TBL b
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WHERE b.f1 && box '(2.5,2.5,1.0,1.0)';
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three | f1
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-------+---------------------
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| (2,2),(0,0)
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| (3,3),(1,1)
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| (2.5,3.5),(2.5,2.5)
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(3 rows)
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-- left-or-overlap (x only)
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SELECT '' AS two, b1.*
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FROM BOX_TBL b1
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WHERE b1.f1 &< box '(2.0,2.0,2.5,2.5)';
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two | f1
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-----+---------------------
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| (2,2),(0,0)
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| (2.5,3.5),(2.5,2.5)
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(2 rows)
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-- right-or-overlap (x only)
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SELECT '' AS two, b1.*
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FROM BOX_TBL b1
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WHERE b1.f1 &> box '(2.0,2.0,2.5,2.5)';
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two | f1
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-----+---------------------
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| (2.5,3.5),(2.5,2.5)
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| (3,3),(3,3)
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(2 rows)
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-- left of
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SELECT '' AS two, b.f1
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FROM BOX_TBL b
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WHERE b.f1 << box '(3.0,3.0,5.0,5.0)';
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two | f1
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-----+---------------------
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| (2,2),(0,0)
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| (2.5,3.5),(2.5,2.5)
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(2 rows)
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-- area <=
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SELECT '' AS four, b.f1
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FROM BOX_TBL b
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WHERE b.f1 <= box '(3.0,3.0,5.0,5.0)';
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four | f1
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------+---------------------
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| (2,2),(0,0)
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| (3,3),(1,1)
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| (2.5,3.5),(2.5,2.5)
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| (3,3),(3,3)
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(4 rows)
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-- area <
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SELECT '' AS two, b.f1
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FROM BOX_TBL b
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WHERE b.f1 < box '(3.0,3.0,5.0,5.0)';
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two | f1
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-----+---------------------
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| (2.5,3.5),(2.5,2.5)
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| (3,3),(3,3)
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(2 rows)
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-- area =
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SELECT '' AS two, b.f1
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FROM BOX_TBL b
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WHERE b.f1 = box '(3.0,3.0,5.0,5.0)';
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two | f1
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-----+-------------
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| (2,2),(0,0)
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| (3,3),(1,1)
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(2 rows)
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-- area >
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SELECT '' AS two, b.f1
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FROM BOX_TBL b -- zero area
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WHERE b.f1 > box '(3.5,3.0,4.5,3.0)';
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two | f1
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-----+-------------
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| (2,2),(0,0)
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| (3,3),(1,1)
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(2 rows)
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-- area >=
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SELECT '' AS four, b.f1
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FROM BOX_TBL b -- zero area
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WHERE b.f1 >= box '(3.5,3.0,4.5,3.0)';
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four | f1
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------+---------------------
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| (2,2),(0,0)
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| (3,3),(1,1)
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| (2.5,3.5),(2.5,2.5)
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| (3,3),(3,3)
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(4 rows)
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-- right of
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SELECT '' AS two, b.f1
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FROM BOX_TBL b
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WHERE box '(3.0,3.0,5.0,5.0)' >> b.f1;
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two | f1
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-----+---------------------
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| (2,2),(0,0)
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| (2.5,3.5),(2.5,2.5)
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(2 rows)
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-- contained in
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SELECT '' AS three, b.f1
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FROM BOX_TBL b
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WHERE b.f1 <@ box '(0,0,3,3)';
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three | f1
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-------+-------------
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| (2,2),(0,0)
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| (3,3),(1,1)
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| (3,3),(3,3)
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(3 rows)
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-- contains
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SELECT '' AS three, b.f1
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FROM BOX_TBL b
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WHERE box '(0,0,3,3)' @> b.f1;
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three | f1
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-------+-------------
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| (2,2),(0,0)
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| (3,3),(1,1)
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| (3,3),(3,3)
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(3 rows)
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-- box equality
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SELECT '' AS one, b.f1
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FROM BOX_TBL b
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WHERE box '(1,1,3,3)' ~= b.f1;
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one | f1
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-----+-------------
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| (3,3),(1,1)
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(1 row)
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-- center of box, left unary operator
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SELECT '' AS four, @@(b1.f1) AS p
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FROM BOX_TBL b1;
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four | p
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------+---------
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| (1,1)
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| (2,2)
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| (2.5,3)
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| (3,3)
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(4 rows)
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-- wholly-contained
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SELECT '' AS one, b1.*, b2.*
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FROM BOX_TBL b1, BOX_TBL b2
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WHERE b1.f1 @> b2.f1 and not b1.f1 ~= b2.f1;
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one | f1 | f1
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-----+-------------+-------------
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| (3,3),(1,1) | (3,3),(3,3)
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(1 row)
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SELECT '' AS four, height(f1), width(f1) FROM BOX_TBL;
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four | height | width
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------+--------+-------
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| 2 | 2
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| 2 | 2
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| 1 | 0
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| 0 | 0
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(4 rows)
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