281 lines
6.5 KiB
Plaintext
281 lines
6.5 KiB
Plaintext
--
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-- POLYGON
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--
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-- polygon logic
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--
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-- 3 o
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-- |
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-- 2 + |
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-- / |
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-- 1 # o +
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-- / |
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-- 0 #-----o-+
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--
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-- 0 1 2 3 4
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--
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CREATE TABLE POLYGON_TBL(f1 polygon);
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INSERT INTO POLYGON_TBL(f1) VALUES ('(2.0,0.0),(2.0,4.0),(0.0,0.0)');
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INSERT INTO POLYGON_TBL(f1) VALUES ('(3.0,1.0),(3.0,3.0),(1.0,0.0)');
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-- degenerate polygons
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INSERT INTO POLYGON_TBL(f1) VALUES ('(0.0,0.0)');
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INSERT INTO POLYGON_TBL(f1) VALUES ('(0.0,1.0),(0.0,1.0)');
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-- bad polygon input strings
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INSERT INTO POLYGON_TBL(f1) VALUES ('0.0');
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ERROR: invalid input syntax for type polygon: "0.0"
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LINE 1: INSERT INTO POLYGON_TBL(f1) VALUES ('0.0');
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^
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INSERT INTO POLYGON_TBL(f1) VALUES ('(0.0 0.0');
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ERROR: invalid input syntax for type polygon: "(0.0 0.0"
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LINE 1: INSERT INTO POLYGON_TBL(f1) VALUES ('(0.0 0.0');
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^
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INSERT INTO POLYGON_TBL(f1) VALUES ('(0,1,2)');
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ERROR: invalid input syntax for type polygon: "(0,1,2)"
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LINE 1: INSERT INTO POLYGON_TBL(f1) VALUES ('(0,1,2)');
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^
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INSERT INTO POLYGON_TBL(f1) VALUES ('(0,1,2,3');
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ERROR: invalid input syntax for type polygon: "(0,1,2,3"
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LINE 1: INSERT INTO POLYGON_TBL(f1) VALUES ('(0,1,2,3');
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^
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INSERT INTO POLYGON_TBL(f1) VALUES ('asdf');
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ERROR: invalid input syntax for type polygon: "asdf"
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LINE 1: INSERT INTO POLYGON_TBL(f1) VALUES ('asdf');
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^
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SELECT '' AS four, * FROM POLYGON_TBL;
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four | f1
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------+---------------------
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| ((2,0),(2,4),(0,0))
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| ((3,1),(3,3),(1,0))
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| ((0,0))
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| ((0,1),(0,1))
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(4 rows)
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-- overlap
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SELECT '' AS three, p.*
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FROM POLYGON_TBL p
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WHERE p.f1 && '(3.0,1.0),(3.0,3.0),(1.0,0.0)';
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three | f1
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-------+---------------------
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| ((2,0),(2,4),(0,0))
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| ((3,1),(3,3),(1,0))
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(2 rows)
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-- left overlap
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SELECT '' AS four, p.*
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FROM POLYGON_TBL p
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WHERE p.f1 &< '(3.0,1.0),(3.0,3.0),(1.0,0.0)';
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four | f1
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------+---------------------
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| ((2,0),(2,4),(0,0))
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| ((3,1),(3,3),(1,0))
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| ((0,0))
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| ((0,1),(0,1))
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(4 rows)
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-- right overlap
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SELECT '' AS two, p.*
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FROM POLYGON_TBL p
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WHERE p.f1 &> '(3.0,1.0),(3.0,3.0),(1.0,0.0)';
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two | f1
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-----+---------------------
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| ((3,1),(3,3),(1,0))
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(1 row)
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-- left of
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SELECT '' AS one, p.*
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FROM POLYGON_TBL p
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WHERE p.f1 << '(3.0,1.0),(3.0,3.0),(1.0,0.0)';
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one | f1
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-----+---------------
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| ((0,0))
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| ((0,1),(0,1))
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(2 rows)
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-- right of
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SELECT '' AS zero, p.*
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FROM POLYGON_TBL p
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WHERE p.f1 >> '(3.0,1.0),(3.0,3.0),(1.0,0.0)';
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zero | f1
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------+----
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(0 rows)
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-- contained
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SELECT '' AS one, p.*
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FROM POLYGON_TBL p
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WHERE p.f1 <@ polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)';
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one | f1
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-----+---------------------
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| ((3,1),(3,3),(1,0))
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(1 row)
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-- same
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SELECT '' AS one, p.*
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FROM POLYGON_TBL p
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WHERE p.f1 ~= polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)';
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one | f1
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-----+---------------------
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| ((3,1),(3,3),(1,0))
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(1 row)
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-- contains
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SELECT '' AS one, p.*
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FROM POLYGON_TBL p
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WHERE p.f1 @> polygon '(3.0,1.0),(3.0,3.0),(1.0,0.0)';
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one | f1
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-----+---------------------
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| ((3,1),(3,3),(1,0))
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(1 row)
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--
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-- polygon logic
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--
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-- 3 o
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-- |
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-- 2 + |
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-- / |
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-- 1 / o +
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-- / |
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-- 0 +-----o-+
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--
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-- 0 1 2 3 4
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--
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-- left of
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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;
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false
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-------
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f
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(1 row)
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-- left overlap
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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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true
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------
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f
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(1 row)
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-- right overlap
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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;
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false
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-------
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f
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(1 row)
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-- right of
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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;
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false
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-------
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f
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(1 row)
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-- contained in
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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;
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false
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-------
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f
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(1 row)
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-- contains
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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;
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false
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-------
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f
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(1 row)
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-- +------------------------+
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-- | *---* 1
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-- | + | |
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-- | 2 *---*
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-- +------------------------+
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-- 3
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-- endpoints '+' is ofr one polygon, '*' - for another
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-- Edges 1-2, 2-3 are not shown on picture
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SELECT '((0,4),(6,4),(1,2),(6,0),(0,0))'::polygon @> '((2,1),(2,3),(3,3),(3,1))'::polygon AS "false";
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false
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-------
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f
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(1 row)
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-- +-----------+
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-- | *---* /
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-- | | |/
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-- | | +
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-- | | |\
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-- | *---* \
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-- +-----------+
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SELECT '((0,4),(6,4),(3,2),(6,0),(0,0))'::polygon @> '((2,1),(2,3),(3,3),(3,1))'::polygon AS "true";
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true
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------
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t
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(1 row)
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-- +-----------------+
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-- | |
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-- | +---*---*-----+
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-- | | | |
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-- | +---*---*-----+
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-- | |
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-- +-----------------+
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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";
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false
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-------
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f
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(1 row)
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-- +---------+
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-- | |
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-- | *----*
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-- | | |
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-- | *----*
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-- | |
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-- +---------+
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SELECT '((0,0),(0,3),(3,3),(3,0))'::polygon @> '((2,1),(2,2),(3,2),(3,1))'::polygon AS "true";
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true
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------
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t
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(1 row)
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-- same
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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;
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false
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-------
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f
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(1 row)
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-- overlap
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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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true
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------
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t
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(1 row)
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-- +--------------------+
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-- | *---* 1
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-- | + | |
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-- | 2 *---*
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-- +--------------------+
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-- 3
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-- Edges 1-2, 2-3 are not shown on picture
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SELECT '((0,4),(6,4),(1,2),(6,0),(0,0))'::polygon && '((2,1),(2,3),(3,3),(3,1))'::polygon AS "true";
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true
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------
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t
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(1 row)
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-- +--+ *--*
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-- | | | |
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-- | | *--*
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-- | +----+
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-- | |
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-- +-------+
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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";
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false
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-------
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f
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(1 row)
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SELECT '((200,800),(800,800),(800,200),(200,200))' && '(1000,1000,0,0)'::polygon AS "true";
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true
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------
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t
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(1 row)
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