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--
-- POLYGON
--
-- polygon logic
--
CREATE TABLE POLYGON_TBL(ID int, f1 polygon);
INSERT INTO POLYGON_TBL(ID,f1) VALUES (1, '(2.0,0.0),(2.0,4.0),(0.0,0.0)');
INSERT INTO POLYGON_TBL(ID,f1) VALUES (2, '(3.0,1.0),(3.0,3.0),(1.0,0.0)');
-- degenerate polygons
INSERT INTO POLYGON_TBL(ID,f1) VALUES (3, '(0.0,0.0)');
INSERT INTO POLYGON_TBL(ID,f1) VALUES (4, '(0.0,1.0),(0.0,1.0)');
-- bad polygon input strings
INSERT INTO POLYGON_TBL(ID,f1) VALUES (5, '0.0');
ERROR: invalid input syntax for type polygon: "0.0"
LINE 1: INSERT INTO POLYGON_TBL(ID,f1) VALUES (5, '0.0');
^
INSERT INTO POLYGON_TBL(ID,f1) VALUES (6, '(0.0 0.0');
ERROR: invalid input syntax for type polygon: "(0.0 0.0"
LINE 1: INSERT INTO POLYGON_TBL(ID,f1) VALUES (6, '(0.0 0.0');
^
INSERT INTO POLYGON_TBL(ID,f1) VALUES (7, '(0,1,2)');
ERROR: invalid input syntax for type polygon: "(0,1,2)"
LINE 1: INSERT INTO POLYGON_TBL(ID,f1) VALUES (7, '(0,1,2)');
^
INSERT INTO POLYGON_TBL(ID,f1) VALUES (8, '(0,1,2,3');
ERROR: invalid input syntax for type polygon: "(0,1,2,3"
LINE 1: INSERT INTO POLYGON_TBL(ID,f1) VALUES (8, '(0,1,2,3');
^
INSERT INTO POLYGON_TBL(ID,f1) VALUES (9, 'asdf');
ERROR: invalid input syntax for type polygon: "asdf"
LINE 1: INSERT INTO POLYGON_TBL(ID,f1) VALUES (9, 'asdf');
^
SELECT '' AS four, * FROM POLYGON_TBL ORDER BY ID;
four | id | f1
------+----+---------------------
| 1 | ((2,0),(2,4),(0,0))
| 2 | ((3,1),(3,3),(1,0))
| 3 | ((0,0))
| 4 | ((0,1),(0,1))
(4 rows)
-- overlap
SELECT '' AS three, p.*
FROM POLYGON_TBL p
WHERE p.f1 && '(3.0,1.0),(3.0,3.0),(1.0,0.0)' ORDER BY ID;
three | id | f1
-------+----+---------------------
| 1 | ((2,0),(2,4),(0,0))
| 2 | ((3,1),(3,3),(1,0))
(2 rows)
-- left overlap
SELECT '' AS four, p.*
FROM POLYGON_TBL p
WHERE p.f1 &< '(3.0,1.0),(3.0,3.0),(1.0,0.0)' ORDER BY ID;
four | id | f1
------+----+---------------------
| 1 | ((2,0),(2,4),(0,0))
| 2 | ((3,1),(3,3),(1,0))
| 3 | ((0,0))
| 4 | ((0,1),(0,1))
(4 rows)
-- right overlap
SELECT '' AS two, p.*
FROM POLYGON_TBL p
WHERE p.f1 &> '(3.0,1.0),(3.0,3.0),(1.0,0.0)' ORDER BY ID;
two | id | f1
-----+----+---------------------
| 2 | ((3,1),(3,3),(1,0))
(1 row)
-- left of
SELECT '' AS one, p.*
FROM POLYGON_TBL p
WHERE p.f1 << '(3.0,1.0),(3.0,3.0),(1.0,0.0)' ORDER BY ID;
one | id | f1
-----+----+---------------
| 3 | ((0,0))
| 4 | ((0,1),(0,1))
(2 rows)
-- right of
SELECT '' AS zero, p.*
FROM POLYGON_TBL p
WHERE p.f1 >> '(3.0,1.0),(3.0,3.0),(1.0,0.0)' ORDER BY ID;
zero | id | f1
------+----+----
(0 rows)
-- contained
SELECT '' AS one, p.*
FROM POLYGON_TBL p
WHERE p.f1 <@ polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' ORDER BY ID;
one | id | f1
-----+----+---------------------
| 2 | ((3,1),(3,3),(1,0))
(1 row)
-- same
SELECT '' AS one, p.*
FROM POLYGON_TBL p
WHERE p.f1 ~= polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' ORDER BY ID;
one | id | f1
-----+----+---------------------
| 2 | ((3,1),(3,3),(1,0))
(1 row)
-- contains
SELECT '' AS one, p.*
FROM POLYGON_TBL p
WHERE p.f1 @> polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' ORDER BY ID;
one | id | f1
-----+----+---------------------
| 2 | ((3,1),(3,3),(1,0))
(1 row)
--
-- polygon logic
--
-- left of
SELECT polygon '(2.0,0.0),(2.0,4.0),(0.0,0.0)' << polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' AS false;
false
-------
f
(1 row)
-- left overlap
SELECT polygon '(2.0,0.0),(2.0,4.0),(0.0,0.0)' << polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' AS true;
true
------
f
(1 row)
-- right overlap
SELECT polygon '(2.0,0.0),(2.0,4.0),(0.0,0.0)' &> polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' AS false;
false
-------
f
(1 row)
-- right of
SELECT polygon '(2.0,0.0),(2.0,4.0),(0.0,0.0)' >> polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' AS false;
false
-------
f
(1 row)
-- contained in
SELECT polygon '(2.0,0.0),(2.0,4.0),(0.0,0.0)' <@ polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' AS false;
false
-------
f
(1 row)
-- contains
SELECT polygon '(2.0,0.0),(2.0,4.0),(0.0,0.0)' @> polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' AS false;
false
-------
f
(1 row)
SELECT '((0,4),(6,4),(1,2),(6,0),(0,0))'::polygon @> '((2,1),(2,3),(3,3),(3,1))'::polygon AS "false";
false
-------
f
(1 row)
SELECT '((0,4),(6,4),(3,2),(6,0),(0,0))'::polygon @> '((2,1),(2,3),(3,3),(3,1))'::polygon AS "true";
true
------
t
(1 row)
SELECT '((1,1),(1,4),(5,4),(5,3),(2,3),(2,2),(5,2),(5,1))'::polygon @> '((3,2),(3,3),(4,3),(4,2))'::polygon AS "false";
false
-------
f
(1 row)
SELECT '((0,0),(0,3),(3,3),(3,0))'::polygon @> '((2,1),(2,2),(3,2),(3,1))'::polygon AS "true";
true
------
t
(1 row)
-- same
SELECT polygon '(2.0,0.0),(2.0,4.0),(0.0,0.0)' ~= polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' AS false;
false
-------
f
(1 row)
-- overlap
SELECT polygon '(2.0,0.0),(2.0,4.0),(0.0,0.0)' && polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)' AS true;
true
------
t
(1 row)
SELECT '((0,4),(6,4),(1,2),(6,0),(0,0))'::polygon && '((2,1),(2,3),(3,3),(3,1))'::polygon AS "true";
true
------
t
(1 row)
SELECT '((1,4),(1,1),(4,1),(4,2),(2,2),(2,4),(1,4))'::polygon && '((3,3),(4,3),(4,4),(3,4),(3,3))'::polygon AS "false";
false
-------
f
(1 row)
SELECT '((200,800),(800,800),(800,200),(200,200))' && '(1000,1000,0,0)'::polygon AS "true";
true
------
t
(1 row)
-- distance from a point
SELECT '(0,0)'::point <-> '((0,0),(1,2),(2,1))'::polygon as on_corner,
'(1,1)'::point <-> '((0,0),(2,2),(1,3))'::polygon as on_segment,
'(2,2)'::point <-> '((0,0),(1,4),(3,1))'::polygon as inside,
'(3,3)'::point <-> '((0,2),(2,0),(2,2))'::polygon as near_corner,
'(4,4)'::point <-> '((0,0),(0,3),(4,0))'::polygon as near_segment;
on_corner | on_segment | inside | near_corner | near_segment
-----------+------------+--------+-----------------+--------------
0 | 0 | 0 | 1.4142135623731 | 3.2
(1 row)
|
