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188 lines
4.0 KiB
Plaintext
188 lines
4.0 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: Bad polygon external representation '0.0'
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INSERT INTO POLYGON_TBL(f1) VALUES ('(0.0 0.0');
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ERROR: Bad polygon external representation '(0.0 0.0'
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INSERT INTO POLYGON_TBL(f1) VALUES ('(0,1,2)');
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ERROR: Bad polygon external representation '(0,1,2)'
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INSERT INTO POLYGON_TBL(f1) VALUES ('(0,1,2,3');
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ERROR: Bad polygon external representation '(0,1,2,3'
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INSERT INTO POLYGON_TBL(f1) VALUES ('asdf');
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ERROR: Bad polygon external representation 'asdf'
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SELECT '' AS four, 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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| ((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 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 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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-- 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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-- 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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