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This commit adds the following functions: box(point) -> box bound_box(box, box) -> box inet_same_family(inet, inet) -> bool inet_merge(inet, inet) -> cidr range_merge(anyrange, anyrange) -> anyrange The first of these is also used to implement a new assignment cast from point to box. These functions are the first part of a base to implement an "inclusion" operator class for BRIN, for multidimensional data types. Author: Emre Hasegeli Reviewed by: Andreas Karlsson
564 lines
21 KiB
Plaintext
564 lines
21 KiB
Plaintext
--
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-- GEOMETRY
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--
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-- Back off displayed precision a little bit to reduce platform-to-platform
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-- variation in results.
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SET extra_float_digits TO -3;
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--
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-- Points
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--
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SELECT '' AS four, center(f1) AS center
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FROM BOX_TBL;
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four | center
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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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SELECT '' AS four, (@@ f1) AS center
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FROM BOX_TBL;
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four | center
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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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SELECT '' AS six, point(f1) AS center
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FROM CIRCLE_TBL;
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six | center
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-----+-----------
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| (5,1)
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| (1,2)
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| (1,3)
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| (1,2)
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| (100,200)
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| (100,1)
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(6 rows)
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SELECT '' AS six, (@@ f1) AS center
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FROM CIRCLE_TBL;
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six | center
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-----+-----------
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| (5,1)
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| (1,2)
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| (1,3)
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| (1,2)
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| (100,200)
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| (100,1)
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(6 rows)
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SELECT '' AS two, (@@ f1) AS center
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FROM POLYGON_TBL
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WHERE (# f1) > 2;
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two | center
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-----+-------------------------------
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| (1.33333333333,1.33333333333)
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| (2.33333333333,1.33333333333)
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(2 rows)
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-- "is horizontal" function
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SELECT '' AS two, p1.f1
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FROM POINT_TBL p1
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WHERE ishorizontal(p1.f1, point '(0,0)');
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two | f1
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-----+---------
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| (0,0)
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| (-10,0)
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(2 rows)
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-- "is horizontal" operator
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SELECT '' AS two, p1.f1
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FROM POINT_TBL p1
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WHERE p1.f1 ?- point '(0,0)';
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two | f1
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-----+---------
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| (0,0)
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| (-10,0)
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(2 rows)
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-- "is vertical" function
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SELECT '' AS one, p1.f1
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FROM POINT_TBL p1
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WHERE isvertical(p1.f1, point '(5.1,34.5)');
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one | f1
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-----+------------
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| (5.1,34.5)
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(1 row)
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-- "is vertical" operator
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SELECT '' AS one, p1.f1
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FROM POINT_TBL p1
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WHERE p1.f1 ?| point '(5.1,34.5)';
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one | f1
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-----+------------
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| (5.1,34.5)
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(1 row)
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--
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-- Line segments
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--
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-- intersection
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SELECT '' AS count, p.f1, l.s, l.s # p.f1 AS intersection
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FROM LSEG_TBL l, POINT_TBL p;
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ERROR: operator does not exist: lseg # point
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LINE 1: SELECT '' AS count, p.f1, l.s, l.s # p.f1 AS intersection
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^
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HINT: No operator matches the given name and argument type(s). You might need to add explicit type casts.
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-- closest point
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SELECT '' AS thirty, p.f1, l.s, p.f1 ## l.s AS closest
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FROM LSEG_TBL l, POINT_TBL p;
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thirty | f1 | s | closest
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--------+------------+-------------------------------+----------------------------------
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| (0,0) | [(1,2),(3,4)] | (1,2)
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| (0,0) | [(0,0),(6,6)] | (0,0)
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| (0,0) | [(10,-10),(-3,-4)] | (-2.0487804878,-4.43902439024)
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| (0,0) | [(-1000000,200),(300000,-40)] | (0.00284023658959,15.3846148603)
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| (0,0) | [(11,22),(33,44)] | (11,22)
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| (-10,0) | [(1,2),(3,4)] | (1,2)
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| (-10,0) | [(0,0),(6,6)] | (0,0)
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| (-10,0) | [(10,-10),(-3,-4)] | (-3,-4)
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| (-10,0) | [(-1000000,200),(300000,-40)] | (-9.99715942258,15.386461014)
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| (-10,0) | [(11,22),(33,44)] | (11,22)
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| (-3,4) | [(1,2),(3,4)] | (1,2)
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| (-3,4) | [(0,0),(6,6)] | (0.5,0.5)
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| (-3,4) | [(10,-10),(-3,-4)] | (-3,-4)
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| (-3,4) | [(-1000000,200),(300000,-40)] | (-2.99789812268,15.3851688427)
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| (-3,4) | [(11,22),(33,44)] | (11,22)
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| (5.1,34.5) | [(1,2),(3,4)] | (3,4)
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| (5.1,34.5) | [(0,0),(6,6)] | (6,6)
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| (5.1,34.5) | [(10,-10),(-3,-4)] | (-3,-4)
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| (5.1,34.5) | [(-1000000,200),(300000,-40)] | (5.09647083221,15.3836744977)
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| (5.1,34.5) | [(11,22),(33,44)] | (14.3,25.3)
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| (-5,-12) | [(1,2),(3,4)] | (1,2)
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| (-5,-12) | [(0,0),(6,6)] | (0,0)
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| (-5,-12) | [(10,-10),(-3,-4)] | (-1.60487804878,-4.64390243902)
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| (-5,-12) | [(-1000000,200),(300000,-40)] | (-4.99494420846,15.3855375282)
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| (-5,-12) | [(11,22),(33,44)] | (11,22)
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| (10,10) | [(1,2),(3,4)] | (3,4)
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| (10,10) | [(0,0),(6,6)] | (6,6)
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| (10,10) | [(10,-10),(-3,-4)] | (2.39024390244,-6.48780487805)
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| (10,10) | [(-1000000,200),(300000,-40)] | (10.000993742,15.3827690473)
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| (10,10) | [(11,22),(33,44)] | (11,22)
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(30 rows)
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--
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-- Boxes
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--
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SELECT '' as six, box(f1) AS box FROM CIRCLE_TBL;
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six | box
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-----+----------------------------------------------------------------
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| (7.12132034356,3.12132034356),(2.87867965644,-1.12132034356)
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| (71.7106781187,72.7106781187),(-69.7106781187,-68.7106781187)
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| (4.53553390593,6.53553390593),(-2.53553390593,-0.535533905933)
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| (3.12132034356,4.12132034356),(-1.12132034356,-0.12132034356)
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| (107.071067812,207.071067812),(92.9289321881,192.928932188)
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| (181.317279836,82.3172798365),(18.6827201635,-80.3172798365)
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(6 rows)
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-- translation
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SELECT '' AS twentyfour, b.f1 + p.f1 AS translation
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FROM BOX_TBL b, POINT_TBL p;
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twentyfour | translation
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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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| (-8,2),(-10,0)
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| (-7,3),(-9,1)
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| (-7.5,3.5),(-7.5,2.5)
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| (-7,3),(-7,3)
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| (-1,6),(-3,4)
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| (0,7),(-2,5)
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| (-0.5,7.5),(-0.5,6.5)
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| (0,7),(0,7)
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| (7.1,36.5),(5.1,34.5)
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| (8.1,37.5),(6.1,35.5)
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| (7.6,38),(7.6,37)
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| (8.1,37.5),(8.1,37.5)
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| (-3,-10),(-5,-12)
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| (-2,-9),(-4,-11)
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| (-2.5,-8.5),(-2.5,-9.5)
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| (-2,-9),(-2,-9)
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| (12,12),(10,10)
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| (13,13),(11,11)
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| (12.5,13.5),(12.5,12.5)
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| (13,13),(13,13)
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(24 rows)
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SELECT '' AS twentyfour, b.f1 - p.f1 AS translation
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FROM BOX_TBL b, POINT_TBL p;
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twentyfour | translation
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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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| (12,2),(10,0)
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| (13,3),(11,1)
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| (12.5,3.5),(12.5,2.5)
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| (13,3),(13,3)
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| (5,-2),(3,-4)
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| (6,-1),(4,-3)
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| (5.5,-0.5),(5.5,-1.5)
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| (6,-1),(6,-1)
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| (-3.1,-32.5),(-5.1,-34.5)
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| (-2.1,-31.5),(-4.1,-33.5)
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| (-2.6,-31),(-2.6,-32)
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| (-2.1,-31.5),(-2.1,-31.5)
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| (7,14),(5,12)
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| (8,15),(6,13)
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| (7.5,15.5),(7.5,14.5)
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| (8,15),(8,15)
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| (-8,-8),(-10,-10)
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| (-7,-7),(-9,-9)
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| (-7.5,-6.5),(-7.5,-7.5)
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| (-7,-7),(-7,-7)
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(24 rows)
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-- scaling and rotation
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SELECT '' AS twentyfour, b.f1 * p.f1 AS rotation
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FROM BOX_TBL b, POINT_TBL p;
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twentyfour | rotation
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------------+-----------------------------
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| (0,0),(0,0)
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| (0,0),(0,0)
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| (0,0),(0,0)
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| (0,0),(0,0)
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| (-0,0),(-20,-20)
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| (-10,-10),(-30,-30)
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| (-25,-25),(-25,-35)
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| (-30,-30),(-30,-30)
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| (-0,2),(-14,0)
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| (-7,3),(-21,1)
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| (-17.5,2.5),(-21.5,-0.5)
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| (-21,3),(-21,3)
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| (0,79.2),(-58.8,0)
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| (-29.4,118.8),(-88.2,39.6)
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| (-73.5,104.1),(-108,99)
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| (-88.2,118.8),(-88.2,118.8)
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| (14,-0),(0,-34)
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| (21,-17),(7,-51)
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| (29.5,-42.5),(17.5,-47.5)
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| (21,-51),(21,-51)
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| (0,40),(0,0)
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| (0,60),(0,20)
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| (0,60),(-10,50)
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| (0,60),(0,60)
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(24 rows)
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SELECT '' AS twenty, b.f1 / p.f1 AS rotation
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FROM BOX_TBL b, POINT_TBL p
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WHERE (p.f1 <-> point '(0,0)') >= 1;
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twenty | rotation
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--------+----------------------------------------------------------------------
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| (0,-0),(-0.2,-0.2)
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| (0.08,-0),(0,-0.56)
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| (0.0651176557644,0),(0,-0.0483449262493)
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| (-0,0.0828402366864),(-0.201183431953,0)
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| (0.2,0),(0,0)
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| (-0.1,-0.1),(-0.3,-0.3)
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| (0.12,-0.28),(0.04,-0.84)
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| (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
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| (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
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| (0.3,0),(0.1,0)
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| (-0.25,-0.25),(-0.25,-0.35)
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| (0.26,-0.7),(0.1,-0.82)
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| (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
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| (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
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| (0.3,0.05),(0.25,0)
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| (-0.3,-0.3),(-0.3,-0.3)
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| (0.12,-0.84),(0.12,-0.84)
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| (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
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| (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
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| (0.3,0),(0.3,0)
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(20 rows)
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SELECT f1::box
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FROM POINT_TBL;
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f1
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-----------------------
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(0,0),(0,0)
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(-10,0),(-10,0)
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(-3,4),(-3,4)
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(5.1,34.5),(5.1,34.5)
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(-5,-12),(-5,-12)
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(10,10),(10,10)
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(6 rows)
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SELECT bound_box(a.f1, b.f1)
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FROM BOX_TBL a, BOX_TBL b;
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bound_box
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---------------------
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(2,2),(0,0)
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(3,3),(0,0)
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(2.5,3.5),(0,0)
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(3,3),(0,0)
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(3,3),(0,0)
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(3,3),(1,1)
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(3,3.5),(1,1)
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(3,3),(1,1)
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(2.5,3.5),(0,0)
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(3,3.5),(1,1)
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(2.5,3.5),(2.5,2.5)
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(3,3.5),(2.5,2.5)
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(3,3),(0,0)
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(3,3),(1,1)
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(3,3.5),(2.5,2.5)
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(3,3),(3,3)
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(16 rows)
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--
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-- Paths
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--
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SELECT '' AS eight, npoints(f1) AS npoints, f1 AS path FROM PATH_TBL;
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eight | npoints | path
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-------+---------+---------------------------
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| 2 | [(1,2),(3,4)]
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| 2 | ((1,2),(3,4))
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| 4 | [(0,0),(3,0),(4,5),(1,6)]
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| 2 | ((1,2),(3,4))
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| 2 | ((1,2),(3,4))
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| 2 | [(1,2),(3,4)]
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| 2 | [(11,12),(13,14)]
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| 2 | ((11,12),(13,14))
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(8 rows)
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SELECT '' AS four, path(f1) FROM POLYGON_TBL;
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four | path
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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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-- translation
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SELECT '' AS eight, p1.f1 + point '(10,10)' AS dist_add
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FROM PATH_TBL p1;
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eight | dist_add
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-------+-----------------------------------
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| [(11,12),(13,14)]
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| ((11,12),(13,14))
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| [(10,10),(13,10),(14,15),(11,16)]
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| ((11,12),(13,14))
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| ((11,12),(13,14))
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| [(11,12),(13,14)]
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| [(21,22),(23,24)]
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| ((21,22),(23,24))
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(8 rows)
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-- scaling and rotation
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SELECT '' AS eight, p1.f1 * point '(2,-1)' AS dist_mul
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FROM PATH_TBL p1;
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eight | dist_mul
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-------+------------------------------
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| [(4,3),(10,5)]
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| ((4,3),(10,5))
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| [(0,0),(6,-3),(13,6),(8,11)]
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| ((4,3),(10,5))
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| ((4,3),(10,5))
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| [(4,3),(10,5)]
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| [(34,13),(40,15)]
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| ((34,13),(40,15))
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(8 rows)
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--
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-- Polygons
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--
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-- containment
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SELECT '' AS twentyfour, p.f1, poly.f1, poly.f1 @> p.f1 AS contains
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FROM POLYGON_TBL poly, POINT_TBL p;
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twentyfour | f1 | f1 | contains
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------------+------------+---------------------+----------
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| (0,0) | ((2,0),(2,4),(0,0)) | t
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| (0,0) | ((3,1),(3,3),(1,0)) | f
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| (0,0) | ((0,0)) | t
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| (0,0) | ((0,1),(0,1)) | f
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| (-10,0) | ((2,0),(2,4),(0,0)) | f
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| (-10,0) | ((3,1),(3,3),(1,0)) | f
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| (-10,0) | ((0,0)) | f
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| (-10,0) | ((0,1),(0,1)) | f
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| (-3,4) | ((2,0),(2,4),(0,0)) | f
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| (-3,4) | ((3,1),(3,3),(1,0)) | f
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| (-3,4) | ((0,0)) | f
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| (-3,4) | ((0,1),(0,1)) | f
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| (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
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| (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
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| (5.1,34.5) | ((0,0)) | f
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| (5.1,34.5) | ((0,1),(0,1)) | f
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| (-5,-12) | ((2,0),(2,4),(0,0)) | f
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| (-5,-12) | ((3,1),(3,3),(1,0)) | f
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| (-5,-12) | ((0,0)) | f
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| (-5,-12) | ((0,1),(0,1)) | f
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| (10,10) | ((2,0),(2,4),(0,0)) | f
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| (10,10) | ((3,1),(3,3),(1,0)) | f
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| (10,10) | ((0,0)) | f
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| (10,10) | ((0,1),(0,1)) | f
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(24 rows)
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SELECT '' AS twentyfour, p.f1, poly.f1, p.f1 <@ poly.f1 AS contained
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FROM POLYGON_TBL poly, POINT_TBL p;
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twentyfour | f1 | f1 | contained
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|
------------+------------+---------------------+-----------
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| (0,0) | ((2,0),(2,4),(0,0)) | t
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| (0,0) | ((3,1),(3,3),(1,0)) | f
|
|
| (0,0) | ((0,0)) | t
|
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| (0,0) | ((0,1),(0,1)) | f
|
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| (-10,0) | ((2,0),(2,4),(0,0)) | f
|
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| (-10,0) | ((3,1),(3,3),(1,0)) | f
|
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| (-10,0) | ((0,0)) | f
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|
| (-10,0) | ((0,1),(0,1)) | f
|
|
| (-3,4) | ((2,0),(2,4),(0,0)) | f
|
|
| (-3,4) | ((3,1),(3,3),(1,0)) | f
|
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| (-3,4) | ((0,0)) | f
|
|
| (-3,4) | ((0,1),(0,1)) | f
|
|
| (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
|
|
| (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
|
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| (5.1,34.5) | ((0,0)) | f
|
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| (5.1,34.5) | ((0,1),(0,1)) | f
|
|
| (-5,-12) | ((2,0),(2,4),(0,0)) | f
|
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| (-5,-12) | ((3,1),(3,3),(1,0)) | f
|
|
| (-5,-12) | ((0,0)) | f
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| (-5,-12) | ((0,1),(0,1)) | f
|
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| (10,10) | ((2,0),(2,4),(0,0)) | f
|
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| (10,10) | ((3,1),(3,3),(1,0)) | f
|
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| (10,10) | ((0,0)) | f
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| (10,10) | ((0,1),(0,1)) | f
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(24 rows)
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SELECT '' AS four, npoints(f1) AS npoints, f1 AS polygon
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FROM POLYGON_TBL;
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four | npoints | polygon
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------+---------+---------------------
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| 3 | ((2,0),(2,4),(0,0))
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| 3 | ((3,1),(3,3),(1,0))
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| 1 | ((0,0))
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| 2 | ((0,1),(0,1))
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(4 rows)
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|
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SELECT '' AS four, polygon(f1)
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FROM BOX_TBL;
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four | polygon
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------+-------------------------------------------
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| ((0,0),(0,2),(2,2),(2,0))
|
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| ((1,1),(1,3),(3,3),(3,1))
|
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| ((2.5,2.5),(2.5,3.5),(2.5,3.5),(2.5,2.5))
|
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| ((3,3),(3,3),(3,3),(3,3))
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(4 rows)
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|
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SELECT '' AS four, polygon(f1)
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FROM PATH_TBL WHERE isclosed(f1);
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four | polygon
|
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------+-------------------
|
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| ((1,2),(3,4))
|
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| ((1,2),(3,4))
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| ((1,2),(3,4))
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| ((11,12),(13,14))
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(4 rows)
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|
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SELECT '' AS four, f1 AS open_path, polygon( pclose(f1)) AS polygon
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FROM PATH_TBL
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WHERE isopen(f1);
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four | open_path | polygon
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------+---------------------------+---------------------------
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| [(1,2),(3,4)] | ((1,2),(3,4))
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| [(0,0),(3,0),(4,5),(1,6)] | ((0,0),(3,0),(4,5),(1,6))
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| [(1,2),(3,4)] | ((1,2),(3,4))
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| [(11,12),(13,14)] | ((11,12),(13,14))
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(4 rows)
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|
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-- convert circles to polygons using the default number of points
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SELECT '' AS six, polygon(f1)
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FROM CIRCLE_TBL;
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six | polygon
|
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-----+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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| ((2,1),(2.40192378865,2.5),(3.5,3.59807621135),(5,4),(6.5,3.59807621135),(7.59807621135,2.5),(8,1),(7.59807621135,-0.5),(6.5,-1.59807621135),(5,-2),(3.5,-1.59807621135),(2.40192378865,-0.5))
|
|
| ((-99,2),(-85.6025403784,52),(-49,88.6025403784),(1,102),(51,88.6025403784),(87.6025403784,52),(101,2),(87.6025403784,-48),(51,-84.6025403784),(1,-98),(-49,-84.6025403784),(-85.6025403784,-48))
|
|
| ((-4,3),(-3.33012701892,5.5),(-1.5,7.33012701892),(1,8),(3.5,7.33012701892),(5.33012701892,5.5),(6,3),(5.33012701892,0.5),(3.5,-1.33012701892),(1,-2),(-1.5,-1.33012701892),(-3.33012701892,0.5))
|
|
| ((-2,2),(-1.59807621135,3.5),(-0.5,4.59807621135),(1,5),(2.5,4.59807621135),(3.59807621135,3.5),(4,2),(3.59807621135,0.5),(2.5,-0.598076211353),(1,-1),(-0.5,-0.598076211353),(-1.59807621135,0.5))
|
|
| ((90,200),(91.3397459622,205),(95,208.660254038),(100,210),(105,208.660254038),(108.660254038,205),(110,200),(108.660254038,195),(105,191.339745962),(100,190),(95,191.339745962),(91.3397459622,195))
|
|
| ((-15,1),(0.40707856479,58.5),(42.5,100.592921435),(100,116),(157.5,100.592921435),(199.592921435,58.5),(215,1),(199.592921435,-56.5),(157.5,-98.5929214352),(100,-114),(42.5,-98.5929214352),(0.40707856479,-56.5))
|
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(6 rows)
|
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|
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-- convert the circle to an 8-point polygon
|
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SELECT '' AS six, polygon(8, f1)
|
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FROM CIRCLE_TBL;
|
|
six | polygon
|
|
-----+------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
| ((2,1),(2.87867965644,3.12132034356),(5,4),(7.12132034356,3.12132034356),(8,1),(7.12132034356,-1.12132034356),(5,-2),(2.87867965644,-1.12132034356))
|
|
| ((-99,2),(-69.7106781187,72.7106781187),(1,102),(71.7106781187,72.7106781187),(101,2),(71.7106781187,-68.7106781187),(1,-98),(-69.7106781187,-68.7106781187))
|
|
| ((-4,3),(-2.53553390593,6.53553390593),(1,8),(4.53553390593,6.53553390593),(6,3),(4.53553390593,-0.535533905933),(1,-2),(-2.53553390593,-0.535533905933))
|
|
| ((-2,2),(-1.12132034356,4.12132034356),(1,5),(3.12132034356,4.12132034356),(4,2),(3.12132034356,-0.12132034356),(1,-1),(-1.12132034356,-0.12132034356))
|
|
| ((90,200),(92.9289321881,207.071067812),(100,210),(107.071067812,207.071067812),(110,200),(107.071067812,192.928932188),(100,190),(92.9289321881,192.928932188))
|
|
| ((-15,1),(18.6827201635,82.3172798365),(100,116),(181.317279836,82.3172798365),(215,1),(181.317279836,-80.3172798365),(100,-114),(18.6827201635,-80.3172798365))
|
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(6 rows)
|
|
|
|
--
|
|
-- Circles
|
|
--
|
|
SELECT '' AS six, circle(f1, 50.0)
|
|
FROM POINT_TBL;
|
|
six | circle
|
|
-----+-----------------
|
|
| <(0,0),50>
|
|
| <(-10,0),50>
|
|
| <(-3,4),50>
|
|
| <(5.1,34.5),50>
|
|
| <(-5,-12),50>
|
|
| <(10,10),50>
|
|
(6 rows)
|
|
|
|
SELECT '' AS four, circle(f1)
|
|
FROM BOX_TBL;
|
|
four | circle
|
|
------+-----------------------
|
|
| <(1,1),1.41421356237>
|
|
| <(2,2),1.41421356237>
|
|
| <(2.5,3),0.5>
|
|
| <(3,3),0>
|
|
(4 rows)
|
|
|
|
SELECT '' AS two, circle(f1)
|
|
FROM POLYGON_TBL
|
|
WHERE (# f1) >= 3;
|
|
two | circle
|
|
-----+-----------------------------------------------
|
|
| <(1.33333333333,1.33333333333),2.04168905064>
|
|
| <(2.33333333333,1.33333333333),1.47534300379>
|
|
(2 rows)
|
|
|
|
SELECT '' AS twentyfour, c1.f1 AS circle, p1.f1 AS point, (p1.f1 <-> c1.f1) AS distance
|
|
FROM CIRCLE_TBL c1, POINT_TBL p1
|
|
WHERE (p1.f1 <-> c1.f1) > 0
|
|
ORDER BY distance, area(c1.f1), p1.f1[0];
|
|
twentyfour | circle | point | distance
|
|
------------+----------------+------------+---------------
|
|
| <(1,2),3> | (-3,4) | 1.472135955
|
|
| <(5,1),3> | (0,0) | 2.09901951359
|
|
| <(5,1),3> | (-3,4) | 5.54400374532
|
|
| <(1,3),5> | (-10,0) | 6.40175425099
|
|
| <(1,3),5> | (10,10) | 6.40175425099
|
|
| <(5,1),3> | (10,10) | 7.29563014099
|
|
| <(1,2),3> | (-10,0) | 8.1803398875
|
|
| <(1,2),3> | (10,10) | 9.04159457879
|
|
| <(1,3),5> | (-5,-12) | 11.1554944214
|
|
| <(5,1),3> | (-10,0) | 12.0332963784
|
|
| <(1,2),3> | (-5,-12) | 12.2315462117
|
|
| <(5,1),3> | (-5,-12) | 13.4012194669
|
|
| <(1,3),5> | (5.1,34.5) | 26.7657047773
|
|
| <(1,2),3> | (5.1,34.5) | 29.7575945393
|
|
| <(5,1),3> | (5.1,34.5) | 30.5001492534
|
|
| <(100,200),10> | (5.1,34.5) | 180.778038568
|
|
| <(100,200),10> | (10,10) | 200.237960416
|
|
| <(100,200),10> | (-3,4) | 211.415898255
|
|
| <(100,200),10> | (0,0) | 213.60679775
|
|
| <(100,200),10> | (-10,0) | 218.25424421
|
|
| <(100,200),10> | (-5,-12) | 226.577682802
|
|
(21 rows)
|
|
|