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-rw-r--r--contrib/cube/sql/cube.sql432
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diff --git a/contrib/cube/sql/cube.sql b/contrib/cube/sql/cube.sql
new file mode 100644
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+++ b/contrib/cube/sql/cube.sql
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+--
+-- Test cube datatype
+--
+
+CREATE EXTENSION cube;
+
+-- Check whether any of our opclasses fail amvalidate
+SELECT amname, opcname
+FROM pg_opclass opc LEFT JOIN pg_am am ON am.oid = opcmethod
+WHERE opc.oid >= 16384 AND NOT amvalidate(opc.oid);
+
+--
+-- testing the input and output functions
+--
+
+-- Any number (a one-dimensional point)
+SELECT '1'::cube AS cube;
+SELECT '-1'::cube AS cube;
+SELECT '1.'::cube AS cube;
+SELECT '-1.'::cube AS cube;
+SELECT '.1'::cube AS cube;
+SELECT '-.1'::cube AS cube;
+SELECT '1.0'::cube AS cube;
+SELECT '-1.0'::cube AS cube;
+SELECT 'infinity'::cube AS cube;
+SELECT '-infinity'::cube AS cube;
+SELECT 'NaN'::cube AS cube;
+SELECT '.1234567890123456'::cube AS cube;
+SELECT '+.1234567890123456'::cube AS cube;
+SELECT '-.1234567890123456'::cube AS cube;
+
+-- simple lists (points)
+SELECT '()'::cube AS cube;
+SELECT '1,2'::cube AS cube;
+SELECT '(1,2)'::cube AS cube;
+SELECT '1,2,3,4,5'::cube AS cube;
+SELECT '(1,2,3,4,5)'::cube AS cube;
+
+-- double lists (cubes)
+SELECT '(),()'::cube AS cube;
+SELECT '(0),(0)'::cube AS cube;
+SELECT '(0),(1)'::cube AS cube;
+SELECT '[(0),(0)]'::cube AS cube;
+SELECT '[(0),(1)]'::cube AS cube;
+SELECT '(0,0,0,0),(0,0,0,0)'::cube AS cube;
+SELECT '(0,0,0,0),(1,0,0,0)'::cube AS cube;
+SELECT '[(0,0,0,0),(0,0,0,0)]'::cube AS cube;
+SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;
+
+-- invalid input: parse errors
+SELECT ''::cube AS cube;
+SELECT 'ABC'::cube AS cube;
+SELECT '[]'::cube AS cube;
+SELECT '[()]'::cube AS cube;
+SELECT '[(1)]'::cube AS cube;
+SELECT '[(1),]'::cube AS cube;
+SELECT '[(1),2]'::cube AS cube;
+SELECT '[(1),(2),(3)]'::cube AS cube;
+SELECT '1,'::cube AS cube;
+SELECT '1,2,'::cube AS cube;
+SELECT '1,,2'::cube AS cube;
+SELECT '(1,)'::cube AS cube;
+SELECT '(1,2,)'::cube AS cube;
+SELECT '(1,,2)'::cube AS cube;
+
+-- invalid input: semantic errors and trailing garbage
+SELECT '[(1),(2)],'::cube AS cube; -- 0
+SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1
+SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1
+SELECT '(1),(2),'::cube AS cube; -- 2
+SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3
+SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3
+SELECT '(1,2,3)ab'::cube AS cube; -- 4
+SELECT '(1,2,3)a'::cube AS cube; -- 5
+SELECT '(1,2)('::cube AS cube; -- 5
+SELECT '1,2ab'::cube AS cube; -- 6
+SELECT '1 e7'::cube AS cube; -- 6
+SELECT '1,2a'::cube AS cube; -- 7
+SELECT '1..2'::cube AS cube; -- 7
+SELECT '-1e-700'::cube AS cube; -- out of range
+
+--
+-- Testing building cubes from float8 values
+--
+
+SELECT cube(0::float8);
+SELECT cube(1::float8);
+SELECT cube(1,2);
+SELECT cube(cube(1,2),3);
+SELECT cube(cube(1,2),3,4);
+SELECT cube(cube(cube(1,2),3,4),5);
+SELECT cube(cube(cube(1,2),3,4),5,6);
+
+--
+-- Test that the text -> cube cast was installed.
+--
+
+SELECT '(0)'::text::cube;
+
+--
+-- Test the float[] -> cube cast
+--
+SELECT cube('{0,1,2}'::float[], '{3,4,5}'::float[]);
+SELECT cube('{0,1,2}'::float[], '{3}'::float[]);
+SELECT cube(NULL::float[], '{3}'::float[]);
+SELECT cube('{0,1,2}'::float[]);
+SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[3,2,1,1]);
+SELECT cube_subset(cube('(1,3,5),(1,3,5)'), ARRAY[3,2,1,1]);
+SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[4,0]);
+SELECT cube_subset(cube('(6,7,8),(6,7,8)'), ARRAY[4,0]);
+-- test for limits: this should pass
+SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,100)));
+-- and this should fail
+SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,101)));
+
+
+
+--
+-- Test point processing
+--
+SELECT cube('(1,2),(1,2)'); -- cube_in
+SELECT cube('{0,1,2}'::float[], '{0,1,2}'::float[]); -- cube_a_f8_f8
+SELECT cube('{5,6,7,8}'::float[]); -- cube_a_f8
+SELECT cube(1.37); -- cube_f8
+SELECT cube(1.37, 1.37); -- cube_f8_f8
+SELECT cube(cube(1,1), 42); -- cube_c_f8
+SELECT cube(cube(1,2), 42); -- cube_c_f8
+SELECT cube(cube(1,1), 42, 42); -- cube_c_f8_f8
+SELECT cube(cube(1,1), 42, 24); -- cube_c_f8_f8
+SELECT cube(cube(1,2), 42, 42); -- cube_c_f8_f8
+SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8
+
+--
+-- Testing limit of CUBE_MAX_DIM dimensions check in cube_in.
+--
+-- create too big cube from literal
+select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
+select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0),(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
+-- from an array
+select cube(array(SELECT 0 as a FROM generate_series(1,101)));
+select cube(array(SELECT 0 as a FROM generate_series(1,101)),array(SELECT 0 as a FROM generate_series(1,101)));
+
+-- extend cube beyond limit
+-- this should work
+select cube(array(SELECT 0 as a FROM generate_series(1,100)));
+select cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100)));
+-- this should fail
+select cube(cube(array(SELECT 0 as a FROM generate_series(1,100))), 0);
+select cube(cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100))), 0, 0);
+
+
+--
+-- testing the operators
+--
+
+-- equality/inequality:
+--
+SELECT '24, 33.20'::cube = '24, 33.20'::cube AS bool;
+SELECT '24, 33.20'::cube != '24, 33.20'::cube AS bool;
+SELECT '24, 33.20'::cube = '24, 33.21'::cube AS bool;
+SELECT '24, 33.20'::cube != '24, 33.21'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
+
+-- "lower than" / "greater than"
+-- (these operators are not useful for anything but ordering)
+--
+SELECT '1'::cube > '2'::cube AS bool;
+SELECT '1'::cube < '2'::cube AS bool;
+SELECT '1,1'::cube > '1,2'::cube AS bool;
+SELECT '1,1'::cube < '1,2'::cube AS bool;
+
+SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube > '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube < '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
+
+
+-- "overlap"
+--
+SELECT '1'::cube && '1'::cube AS bool;
+SELECT '1'::cube && '2'::cube AS bool;
+
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '0'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1,1,1'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1,1),(2,2,2)]'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1),(2,2)]'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(2,1,1),(2,2,2)]'::cube AS bool;
+
+
+-- "contained in" (the left operand is the cube entirely enclosed by
+-- the right operand):
+--
+SELECT '0'::cube <@ '0'::cube AS bool;
+SELECT '0,0,0'::cube <@ '0,0,0'::cube AS bool;
+SELECT '0,0'::cube <@ '0,0,1'::cube AS bool;
+SELECT '0,0,0'::cube <@ '0,0,1'::cube AS bool;
+SELECT '1,0,0'::cube <@ '0,0,1'::cube AS bool;
+SELECT '(1,0,0),(0,0,1)'::cube <@ '(1,0,0),(0,0,1)'::cube AS bool;
+SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1),(1,1,1)'::cube AS bool;
+SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1,-1),(1,1,1,1)'::cube AS bool;
+SELECT '0'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '1'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '-1'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '(-1),(1)'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '(-1),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool;
+SELECT '(-2),(1)'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '(-2),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool;
+
+
+-- "contains" (the left operand is the cube that entirely encloses the
+-- right operand)
+--
+SELECT '0'::cube @> '0'::cube AS bool;
+SELECT '0,0,0'::cube @> '0,0,0'::cube AS bool;
+SELECT '0,0,1'::cube @> '0,0'::cube AS bool;
+SELECT '0,0,1'::cube @> '0,0,0'::cube AS bool;
+SELECT '0,0,1'::cube @> '1,0,0'::cube AS bool;
+SELECT '(1,0,0),(0,0,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
+SELECT '(-1,-1,-1),(1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
+SELECT '(-1,-1,-1,-1),(1,1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '0'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '1'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '-1'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '(-1),(1)'::cube AS bool;
+SELECT '(-1,-1),(1,1)'::cube @> '(-1),(1)'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '(-2),(1)'::cube AS bool;
+SELECT '(-1,-1),(1,1)'::cube @> '(-2),(1)'::cube AS bool;
+
+-- Test of distance function
+--
+SELECT cube_distance('(0)'::cube,'(2,2,2,2)'::cube);
+SELECT cube_distance('(0)'::cube,'(.3,.4)'::cube);
+SELECT cube_distance('(2,3,4)'::cube,'(2,3,4)'::cube);
+SELECT cube_distance('(42,42,42,42)'::cube,'(137,137,137,137)'::cube);
+SELECT cube_distance('(42,42,42)'::cube,'(137,137)'::cube);
+
+-- Test of cube function (text to cube)
+--
+SELECT cube('(1,1.2)'::text);
+SELECT cube(NULL);
+
+-- Test of cube_dim function (dimensions stored in cube)
+--
+SELECT cube_dim('(0)'::cube);
+SELECT cube_dim('(0,0)'::cube);
+SELECT cube_dim('(0,0,0)'::cube);
+SELECT cube_dim('(42,42,42),(42,42,42)'::cube);
+SELECT cube_dim('(4,8,15,16,23),(4,8,15,16,23)'::cube);
+
+-- Test of cube_ll_coord function (retrieves LL coordinate values)
+--
+SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 1);
+SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 2);
+SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 3);
+SELECT cube_ll_coord('(1,2),(1,2)'::cube, 1);
+SELECT cube_ll_coord('(1,2),(1,2)'::cube, 2);
+SELECT cube_ll_coord('(1,2),(1,2)'::cube, 3);
+SELECT cube_ll_coord('(42,137)'::cube, 1);
+SELECT cube_ll_coord('(42,137)'::cube, 2);
+SELECT cube_ll_coord('(42,137)'::cube, 3);
+
+-- Test of cube_ur_coord function (retrieves UR coordinate values)
+--
+SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 1);
+SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 2);
+SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 3);
+SELECT cube_ur_coord('(1,2),(1,2)'::cube, 1);
+SELECT cube_ur_coord('(1,2),(1,2)'::cube, 2);
+SELECT cube_ur_coord('(1,2),(1,2)'::cube, 3);
+SELECT cube_ur_coord('(42,137)'::cube, 1);
+SELECT cube_ur_coord('(42,137)'::cube, 2);
+SELECT cube_ur_coord('(42,137)'::cube, 3);
+
+-- Test of cube_is_point
+--
+SELECT cube_is_point('(0)'::cube);
+SELECT cube_is_point('(0,1,2)'::cube);
+SELECT cube_is_point('(0,1,2),(0,1,2)'::cube);
+SELECT cube_is_point('(0,1,2),(-1,1,2)'::cube);
+SELECT cube_is_point('(0,1,2),(0,-1,2)'::cube);
+SELECT cube_is_point('(0,1,2),(0,1,-2)'::cube);
+
+-- Test of cube_enlarge (enlarging and shrinking cubes)
+--
+SELECT cube_enlarge('(0)'::cube, 0, 0);
+SELECT cube_enlarge('(0)'::cube, 0, 1);
+SELECT cube_enlarge('(0)'::cube, 0, 2);
+SELECT cube_enlarge('(2),(-2)'::cube, 0, 4);
+SELECT cube_enlarge('(0)'::cube, 1, 0);
+SELECT cube_enlarge('(0)'::cube, 1, 1);
+SELECT cube_enlarge('(0)'::cube, 1, 2);
+SELECT cube_enlarge('(2),(-2)'::cube, 1, 4);
+SELECT cube_enlarge('(0)'::cube, -1, 0);
+SELECT cube_enlarge('(0)'::cube, -1, 1);
+SELECT cube_enlarge('(0)'::cube, -1, 2);
+SELECT cube_enlarge('(2),(-2)'::cube, -1, 4);
+SELECT cube_enlarge('(0,0,0)'::cube, 1, 0);
+SELECT cube_enlarge('(0,0,0)'::cube, 1, 2);
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 1, 2);
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 3, 2);
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -1, 2);
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -3, 2);
+SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -23, 5);
+SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -24, 5);
+
+-- Test of cube_union (MBR for two cubes)
+--
+SELECT cube_union('(1,2),(3,4)'::cube, '(5,6,7),(8,9,10)'::cube);
+SELECT cube_union('(1,2)'::cube, '(4,2,0,0)'::cube);
+SELECT cube_union('(1,2),(1,2)'::cube, '(4,2),(4,2)'::cube);
+SELECT cube_union('(1,2),(1,2)'::cube, '(1,2),(1,2)'::cube);
+SELECT cube_union('(1,2),(1,2)'::cube, '(1,2,0),(1,2,0)'::cube);
+
+-- Test of cube_inter
+--
+SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (16,15)'::cube); -- intersects
+SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (6,5)'::cube); -- includes
+SELECT cube_inter('(1,2),(10,11)'::cube, '(13,14), (16,15)'::cube); -- no intersection
+SELECT cube_inter('(1,2),(10,11)'::cube, '(3,14), (16,15)'::cube); -- no intersection, but one dimension intersects
+SELECT cube_inter('(1,2),(10,11)'::cube, '(10,11), (16,15)'::cube); -- point intersection
+SELECT cube_inter('(1,2,3)'::cube, '(1,2,3)'::cube); -- point args
+SELECT cube_inter('(1,2,3)'::cube, '(5,6,3)'::cube); -- point args
+
+-- Test of cube_size
+--
+SELECT cube_size('(4,8),(15,16)'::cube);
+SELECT cube_size('(42,137)'::cube);
+
+-- Test of distances (euclidean distance may not be bit-exact)
+--
+SET extra_float_digits = 0;
+SELECT cube_distance('(1,1)'::cube, '(4,5)'::cube);
+SELECT '(1,1)'::cube <-> '(4,5)'::cube as d_e;
+RESET extra_float_digits;
+SELECT distance_chebyshev('(1,1)'::cube, '(4,5)'::cube);
+SELECT '(1,1)'::cube <=> '(4,5)'::cube as d_c;
+SELECT distance_taxicab('(1,1)'::cube, '(4,5)'::cube);
+SELECT '(1,1)'::cube <#> '(4,5)'::cube as d_t;
+-- zero for overlapping
+SELECT cube_distance('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
+SELECT distance_chebyshev('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
+SELECT distance_taxicab('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
+-- coordinate access
+SELECT cube(array[10,20,30], array[40,50,60])->1;
+SELECT cube(array[40,50,60], array[10,20,30])->1;
+SELECT cube(array[10,20,30], array[40,50,60])->6;
+SELECT cube(array[10,20,30], array[40,50,60])->0;
+SELECT cube(array[10,20,30], array[40,50,60])->7;
+SELECT cube(array[10,20,30], array[40,50,60])->-1;
+SELECT cube(array[10,20,30], array[40,50,60])->-6;
+SELECT cube(array[10,20,30])->3;
+SELECT cube(array[10,20,30])->6;
+SELECT cube(array[10,20,30])->-6;
+-- "normalized" coordinate access
+SELECT cube(array[10,20,30], array[40,50,60])~>1;
+SELECT cube(array[40,50,60], array[10,20,30])~>1;
+SELECT cube(array[10,20,30], array[40,50,60])~>2;
+SELECT cube(array[40,50,60], array[10,20,30])~>2;
+SELECT cube(array[10,20,30], array[40,50,60])~>3;
+SELECT cube(array[40,50,60], array[10,20,30])~>3;
+
+SELECT cube(array[40,50,60], array[10,20,30])~>0;
+SELECT cube(array[40,50,60], array[10,20,30])~>4;
+SELECT cube(array[40,50,60], array[10,20,30])~>(-1);
+
+-- Load some example data and build the index
+--
+CREATE TABLE test_cube (c cube);
+
+\copy test_cube from 'data/test_cube.data'
+
+CREATE INDEX test_cube_ix ON test_cube USING gist (c);
+SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' ORDER BY c;
+
+-- Test sorting
+SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' GROUP BY c ORDER BY c;
+
+-- Test index-only scans
+SET enable_bitmapscan = false;
+EXPLAIN (COSTS OFF)
+SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
+SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
+RESET enable_bitmapscan;
+
+-- Test kNN
+INSERT INTO test_cube VALUES ('(1,1)'), ('(100000)'), ('(0, 100000)'); -- Some corner cases
+SET enable_seqscan = false;
+
+-- Test different metrics
+SET extra_float_digits = 0;
+SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
+RESET extra_float_digits;
+SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
+SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
+
+-- Test sorting by coordinates
+SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
+SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
+SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
+SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
+SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
+SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
+SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
+SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound
+
+-- Same queries with sequential scan (should give the same results as above)
+RESET enable_seqscan;
+SET enable_indexscan = OFF;
+SET extra_float_digits = 0;
+SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
+RESET extra_float_digits;
+SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
+SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
+SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
+SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
+SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
+SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
+SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
+SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
+SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
+SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound
+RESET enable_indexscan;