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--
-- POLYGON
--
-- polygon logic
--
-- 3 o
-- |
-- 2 + |
-- / |
-- 1 # o +
-- / |
-- 0 #-----o-+
--
-- 0 1 2 3 4
--
CREATE TABLE POLYGON_TBL(f1 polygon);
INSERT INTO POLYGON_TBL(f1) VALUES ('(2.0,0.0),(2.0,4.0),(0.0,0.0)');
INSERT INTO POLYGON_TBL(f1) VALUES ('(3.0,1.0),(3.0,3.0),(1.0,0.0)');
-- degenerate polygons
INSERT INTO POLYGON_TBL(f1) VALUES ('(0.0,0.0)');
INSERT INTO POLYGON_TBL(f1) VALUES ('(0.0,1.0),(0.0,1.0)');
-- bad polygon input strings
INSERT INTO POLYGON_TBL(f1) VALUES ('0.0');
INSERT INTO POLYGON_TBL(f1) VALUES ('(0.0 0.0');
INSERT INTO POLYGON_TBL(f1) VALUES ('(0,1,2)');
INSERT INTO POLYGON_TBL(f1) VALUES ('(0,1,2,3');
INSERT INTO POLYGON_TBL(f1) VALUES ('asdf');
SELECT '' AS four, POLYGON_TBL.*;
-- overlap
SELECT '' AS three, p.*
FROM POLYGON_TBL p
WHERE p.f1 && '(3.0,1.0),(3.0,3.0),(1.0,0.0)';
-- 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)';
-- 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)';
-- 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)';
-- 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)';
-- 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)';
-- 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)';
-- 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)';
--
-- polygon logic
--
-- 3 o
-- |
-- 2 + |
-- / |
-- 1 / o +
-- / |
-- 0 +-----o-+
--
-- 0 1 2 3 4
--
-- 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;
-- 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;
-- 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 true;
-- 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;
-- 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;
-- 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;
-- 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;
-- 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;
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