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operators.sql
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--- operator testing (testing is on the BOUNDING BOX (2d), not the actual geometries)
-- overlap or left of
select '77','POINT(1 1)'::GEOMETRY &< 'POINT(1 1)'::GEOMETRY as bool;
select '78','POINT(1 1)'::GEOMETRY &< 'POINT(2 1)'::GEOMETRY as bool;
select '79','POINT(2 1)'::GEOMETRY &< 'POINT(1 1)'::GEOMETRY as bool;
-- strictly left
select '80','POINT(1 1)'::GEOMETRY << 'POINT(1 1)'::GEOMETRY as bool;
select '81','POINT(1 1)'::GEOMETRY << 'POINT(2 1)'::GEOMETRY as bool;
select '82','POINT(2 1)'::GEOMETRY << 'POINT(1 1)'::GEOMETRY as bool;
-- overlap or right
select '83','POINT(1 1)'::GEOMETRY &> 'POINT(1 1)'::GEOMETRY as bool;
select '84','POINT(1 1)'::GEOMETRY &> 'POINT(2 1)'::GEOMETRY as bool;
select '85','POINT(2 1)'::GEOMETRY &> 'POINT(1 1)'::GEOMETRY as bool;
-- strictly right
select '86','POINT(1 1)'::GEOMETRY >> 'POINT(1 1)'::GEOMETRY as bool;
select '87','POINT(1 1)'::GEOMETRY >> 'POINT(2 1)'::GEOMETRY as bool;
select '88','POINT(2 1)'::GEOMETRY >> 'POINT(1 1)'::GEOMETRY as bool;
-- overlap
select '89','POINT(1 1)'::GEOMETRY && 'POINT(1 1)'::GEOMETRY as bool;
select '90','POINT(1 1)'::GEOMETRY && 'POINT(2 2)'::GEOMETRY as bool;
select '91','MULTIPOINT(0 0, 1 1)'::GEOMETRY && 'MULTIPOINT(1 1, 2 2)'::GEOMETRY as bool;
select '92','MULTIPOINT(0 0, 1 1)'::GEOMETRY && 'MULTIPOINT(1.0001 1, 2 2)'::GEOMETRY as bool;
select '93','MULTIPOINT(0 0, 1 1)'::GEOMETRY && 'MULTIPOINT(1 1.0001, 2 2)'::GEOMETRY as bool;
select '94','MULTIPOINT(0 0, 1 1)'::GEOMETRY && 'MULTIPOINT(1 0, 2 2)'::GEOMETRY as bool;
select '95','MULTIPOINT(0 0, 1 1)'::GEOMETRY && 'MULTIPOINT(1.0001 0, 2 2)'::GEOMETRY as bool;
select '96','MULTIPOINT(0 0, 1 1)'::GEOMETRY && 'MULTIPOINT(0 1, 1 2)'::GEOMETRY as bool;
select '97','MULTIPOINT(0 0, 1 1)'::GEOMETRY && 'MULTIPOINT(0 1.0001, 1 2)'::GEOMETRY as bool;
--- contains
select '98','MULTIPOINT(0 0, 10 10)'::GEOMETRY ~ 'MULTIPOINT(5 5, 7 7)'::GEOMETRY as bool;
select '99','MULTIPOINT(5 5, 7 7)'::GEOMETRY ~ 'MULTIPOINT(0 0, 10 10)'::GEOMETRY as bool;
select '100','MULTIPOINT(0 0, 7 7)'::GEOMETRY ~ 'MULTIPOINT(0 0, 10 10)'::GEOMETRY as bool;
select '101','MULTIPOINT(-0.0001 0, 7 7)'::GEOMETRY ~ 'MULTIPOINT(0 0, 10 10)'::GEOMETRY as bool;
--- contained by
select '102','MULTIPOINT(0 0, 10 10)'::GEOMETRY @ 'MULTIPOINT(5 5, 7 7)'::GEOMETRY as bool;
select '103','MULTIPOINT(5 5, 7 7)'::GEOMETRY @ 'MULTIPOINT(0 0, 10 10)'::GEOMETRY as bool;
select '104','MULTIPOINT(0 0, 7 7)'::GEOMETRY @ 'MULTIPOINT(0 0, 10 10)'::GEOMETRY as bool;
select '105','MULTIPOINT(-0.0001 0, 7 7)'::GEOMETRY @ 'MULTIPOINT(0 0, 10 10)'::GEOMETRY as bool;
-- overlap or below &<|
select 'ovbl1',ST_MakeEnvelope(2,2,4,4) &<| ST_MakeEnvelope(2,2,4,4); --t
select 'ovbl2',ST_MakeEnvelope(2,1,4,4) &<| ST_MakeEnvelope(2,2,4,4); --t
select 'ovbl3',ST_MakeEnvelope(2,1,4,5) &<| ST_MakeEnvelope(2,2,4,4); --f
select 'ovbl4',ST_MakeEnvelope(2,0,4,1) &<| ST_MakeEnvelope(2,2,4,4); --t
-- strictly below <<|
select 'bl1',ST_MakeEnvelope(2,1,4,4) <<| ST_MakeEnvelope(2,2,4,4); --f
select 'bl2',ST_MakeEnvelope(2,1,4,2) <<| ST_MakeEnvelope(2,2,4,4); --f
select 'bl2',ST_MakeEnvelope(2,0,4,1) <<| ST_MakeEnvelope(2,2,4,4); --t
-- overlap or above |&>
select 'ovab1',ST_MakeEnvelope(2,2,4,4) |&> ST_MakeEnvelope(2,2,4,4); --t
select 'ovab2',ST_MakeEnvelope(2,2,4,5) |&> ST_MakeEnvelope(2,2,4,4); --t
select 'ovab3',ST_MakeEnvelope(2,1,4,5) |&> ST_MakeEnvelope(2,2,4,4); --f
select 'ovab4',ST_MakeEnvelope(2,5,4,8) |&> ST_MakeEnvelope(2,2,4,4); --t
-- strictly above |>>
select 'ab1',ST_MakeEnvelope(2,2,4,8) |>> ST_MakeEnvelope(2,2,4,4); --f
select 'ab2',ST_MakeEnvelope(2,4,4,8) |>> ST_MakeEnvelope(2,2,4,4); --f
select 'ab3',ST_MakeEnvelope(2,5,4,8) |>> ST_MakeEnvelope(2,2,4,4); --t
-- same as =
select 'eq1',ST_MakeEnvelope(2,2,4,4) = ST_MakeEnvelope(2,2,4,4); -- f
select 'eq2',ST_MakeEnvelope(2,4,4,8) = 'LINESTRING(2 4,4 8)'::geometry; -- t
select 'eq3',ST_MakePoint(0,0) = ST_MakePoint(1,0); -- f
-- box centroid distance <->
select 'cd1', 'LINESTRING(0 0,0 10)'::geometry <->
'LINESTRING(4 0,4 10)'::geometry; -- 4
-- box distance <#>
select 'bd1', 'LINESTRING(0 0,0 10,10 10)'::geometry <#>
'LINESTRING(6 2,6 8)'::geometry; -- 0
select 'bd2', 'LINESTRING(0 0,0 10,10 10)'::geometry <#>
'LINESTRING(11 0,19 10)'::geometry; -- 1
-- nd overlap &&&
select 'ndov1', 'LINESTRING(2 2 2 2, 4 4 4 4)'::geometry &&&
'POINT(3 3 3 5)'::geometry; -- f
select 'ndov2', 'LINESTRING(2 2 2 2, 4 4 4 4)'::geometry &&&
'POINT(3 3 5 3)'::geometry; -- f
select 'ndov3', 'LINESTRING(2 2 2 2, 4 4 4 4)'::geometry &&&
'POINT(3 5 3 3)'::geometry; -- f
select 'ndov4', 'LINESTRING(2 2 2 2, 4 4 4 4)'::geometry &&&
'POINT(5 3 3 3)'::geometry; -- f
select 'ndov5', 'LINESTRING(2 2 2 2, 4 4 4 4)'::geometry &&&
'POINT(3 3 3 3)'::geometry; -- t
select 'ndov6', 'LINESTRING(2 2 2 2, 4 4 4 4)'::geometry &&&
'POINT(2 4 2 4)'::geometry; -- t
select 'ndov7', 'LINESTRING(2 2 2 2, 4 4 4 4)'::geometry &&&
'POINT(4 2 4 2)'::geometry; -- t
-- &&& with mixed dimensions
WITH v(i,g) AS ( VALUES
(1,'POINT(0 0)'::geometry), -- true, infinite M range
(2,'POINTZ(0 0 1)'), -- true, infinite M range
(3,'POINTZ(0 0 0)'), -- true, infinite M range
(4,'POINTM(0 0 1)'), -- true, fully defined overlap
(5,'POINTZM(0 0 0 1)'), -- true, fully defined overlap
(6,'POINTZM(0 0 1 0)'), -- false, M out of range
(7,'LINESTRINGM(-1 0 2,1 0 3)'), -- false, M out of range
(8,'LINESTRINGZ(-1 0 2,1 0 3)') -- true, infinite M range
)
SELECT 'ndovm1', array_agg(i) FROM v WHERE g &&& 'POINTM(0 0 1)'::geometry
ORDER BY 1;
WITH v(i,g) AS ( VALUES
(1,'POINT(0 0)'::geometry), -- true, infinite Z range
(2,'POINTZ(0 0 1)'), -- true, fully defined overlap
(3,'POINTZ(0 0 0)'), -- false, Z out of range
(4,'POINTM(0 0 0)'), -- true, infinite Z range
(5,'POINTZM(0 0 0 1)'), -- false, Z out of range
(6,'POINTZM(0 0 1 0)'), -- true, fully defined overlap
(7,'LINESTRINGM(-1 0 2,1 0 3)'), -- true, infinite Z range
(8,'LINESTRINGZ(-1 0 2,1 0 3)') -- false, Z out of range
)
SELECT 'ndovm2', array_agg(i) FROM v WHERE g &&& 'POINTZ(0 0 1)'::geometry
ORDER BY 1;
-- GROUP BY on empty
SELECT '#3777', ST_AsText(geom), count(*)
FROM (VALUES
('POINT(0 0)'::geometry),
('POINT(0 0)'::geometry),
('POINT(0 0)'::geometry),
('POINT(0 1)'::geometry),
('LINESTRING(0 0,0 1)'::geometry),
('GEOMETRYCOLLECTION EMPTY'::geometry),
('POINT EMPTY'::geometry)
) AS f(geom)
GROUP BY geom ORDER BY 2;
SELECT '#3777.1', ST_AsText(geom), count(*)
FROM (VALUES
('POINT(0 0)'::geometry),
('POINT(0 0)'::geometry),
('POINT EMPTY'::geometry),
('POINT(0 0)'::geometry),
('POINT(0 1)'::geometry),
('LINESTRING(0 0,0 1)'::geometry),
('GEOMETRYCOLLECTION EMPTY'::geometry)
) AS f(geom)
GROUP BY geom ORDER BY 2;