154 lines
3.2 KiB
SQL
154 lines
3.2 KiB
SQL
--
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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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SELECT '' AS four, (@@ f1) AS center
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FROM BOX_TBL;
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SELECT '' AS six, point(f1) AS center
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FROM CIRCLE_TBL;
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SELECT '' AS six, (@@ f1) AS center
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FROM CIRCLE_TBL;
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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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-- "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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-- "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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-- "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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-- "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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--
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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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-- 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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--
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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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-- 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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SELECT '' AS twentyfour, b.f1 - p.f1 AS translation
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FROM BOX_TBL b, POINT_TBL p;
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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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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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SELECT f1::box
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FROM POINT_TBL;
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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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--
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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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SELECT '' AS four, path(f1) FROM POLYGON_TBL;
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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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-- 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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--
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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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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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SELECT '' AS four, npoints(f1) AS npoints, f1 AS polygon
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FROM POLYGON_TBL;
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SELECT '' AS four, polygon(f1)
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FROM BOX_TBL;
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SELECT '' AS four, polygon(f1)
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FROM PATH_TBL WHERE isclosed(f1);
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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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-- 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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-- 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;
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--
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-- Circles
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--
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SELECT '' AS six, circle(f1, 50.0)
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FROM POINT_TBL;
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SELECT '' AS four, circle(f1)
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FROM BOX_TBL;
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SELECT '' AS two, circle(f1)
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FROM POLYGON_TBL
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WHERE (# f1) >= 3;
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SELECT '' AS twentyfour, c1.f1 AS circle, p1.f1 AS point, (p1.f1 <-> c1.f1) AS distance
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FROM CIRCLE_TBL c1, POINT_TBL p1
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WHERE (p1.f1 <-> c1.f1) > 0
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ORDER BY distance, area(c1.f1), p1.f1[0];
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