-- -- 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); amname | opcname --------+--------- (0 rows) -- -- testing the input and output functions -- -- Any number (a one-dimensional point) SELECT '1'::cube AS cube; cube ------ (1) (1 row) SELECT '-1'::cube AS cube; cube ------ (-1) (1 row) SELECT '1.'::cube AS cube; cube ------ (1) (1 row) SELECT '-1.'::cube AS cube; cube ------ (-1) (1 row) SELECT '.1'::cube AS cube; cube ------- (0.1) (1 row) SELECT '-.1'::cube AS cube; cube -------- (-0.1) (1 row) SELECT '1.0'::cube AS cube; cube ------ (1) (1 row) SELECT '-1.0'::cube AS cube; cube ------ (-1) (1 row) SELECT 'infinity'::cube AS cube; cube ------------ (Infinity) (1 row) SELECT '-infinity'::cube AS cube; cube ------------- (-Infinity) (1 row) SELECT 'NaN'::cube AS cube; cube ------- (NaN) (1 row) SELECT '.1234567890123456'::cube AS cube; cube ---------------------- (0.1234567890123456) (1 row) SELECT '+.1234567890123456'::cube AS cube; cube ---------------------- (0.1234567890123456) (1 row) SELECT '-.1234567890123456'::cube AS cube; cube ----------------------- (-0.1234567890123456) (1 row) -- simple lists (points) SELECT '()'::cube AS cube; cube ------ () (1 row) SELECT '1,2'::cube AS cube; cube -------- (1, 2) (1 row) SELECT '(1,2)'::cube AS cube; cube -------- (1, 2) (1 row) SELECT '1,2,3,4,5'::cube AS cube; cube ----------------- (1, 2, 3, 4, 5) (1 row) SELECT '(1,2,3,4,5)'::cube AS cube; cube ----------------- (1, 2, 3, 4, 5) (1 row) -- double lists (cubes) SELECT '(),()'::cube AS cube; cube ------ () (1 row) SELECT '(0),(0)'::cube AS cube; cube ------ (0) (1 row) SELECT '(0),(1)'::cube AS cube; cube --------- (0),(1) (1 row) SELECT '[(0),(0)]'::cube AS cube; cube ------ (0) (1 row) SELECT '[(0),(1)]'::cube AS cube; cube --------- (0),(1) (1 row) SELECT '(0,0,0,0),(0,0,0,0)'::cube AS cube; cube -------------- (0, 0, 0, 0) (1 row) SELECT '(0,0,0,0),(1,0,0,0)'::cube AS cube; cube --------------------------- (0, 0, 0, 0),(1, 0, 0, 0) (1 row) SELECT '[(0,0,0,0),(0,0,0,0)]'::cube AS cube; cube -------------- (0, 0, 0, 0) (1 row) SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube; cube --------------------------- (0, 0, 0, 0),(1, 0, 0, 0) (1 row) -- invalid input: parse errors SELECT ''::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT ''::cube AS cube; ^ DETAIL: syntax error at end of input SELECT 'ABC'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT 'ABC'::cube AS cube; ^ DETAIL: syntax error at or near "A" SELECT '[]'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '[]'::cube AS cube; ^ DETAIL: syntax error at or near "]" SELECT '[()]'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '[()]'::cube AS cube; ^ DETAIL: syntax error at or near "]" SELECT '[(1)]'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '[(1)]'::cube AS cube; ^ DETAIL: syntax error at or near "]" SELECT '[(1),]'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '[(1),]'::cube AS cube; ^ DETAIL: syntax error at or near "]" SELECT '[(1),2]'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '[(1),2]'::cube AS cube; ^ DETAIL: syntax error at or near "2" SELECT '[(1),(2),(3)]'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '[(1),(2),(3)]'::cube AS cube; ^ DETAIL: syntax error at or near "," SELECT '1,'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '1,'::cube AS cube; ^ DETAIL: syntax error at end of input SELECT '1,2,'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '1,2,'::cube AS cube; ^ DETAIL: syntax error at end of input SELECT '1,,2'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '1,,2'::cube AS cube; ^ DETAIL: syntax error at or near "," SELECT '(1,)'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '(1,)'::cube AS cube; ^ DETAIL: syntax error at or near ")" SELECT '(1,2,)'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '(1,2,)'::cube AS cube; ^ DETAIL: syntax error at or near ")" SELECT '(1,,2)'::cube AS cube; ERROR: invalid input syntax for cube LINE 1: SELECT '(1,,2)'::cube AS cube; ^ DETAIL: syntax error at or near "," -- invalid input: semantic errors and trailing garbage SELECT '[(1),(2)],'::cube AS cube; -- 0 ERROR: invalid input syntax for cube LINE 1: SELECT '[(1),(2)],'::cube AS cube; ^ DETAIL: syntax error at or near "," SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1 ERROR: invalid input syntax for cube LINE 1: SELECT '[(1,2,3),(2,3)]'::cube AS cube; ^ DETAIL: Different point dimensions in (1,2,3) and (2,3). SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1 ERROR: invalid input syntax for cube LINE 1: SELECT '[(1,2),(1,2,3)]'::cube AS cube; ^ DETAIL: Different point dimensions in (1,2) and (1,2,3). SELECT '(1),(2),'::cube AS cube; -- 2 ERROR: invalid input syntax for cube LINE 1: SELECT '(1),(2),'::cube AS cube; ^ DETAIL: syntax error at or near "," SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3 ERROR: invalid input syntax for cube LINE 1: SELECT '(1,2,3),(2,3)'::cube AS cube; ^ DETAIL: Different point dimensions in (1,2,3) and (2,3). SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3 ERROR: invalid input syntax for cube LINE 1: SELECT '(1,2),(1,2,3)'::cube AS cube; ^ DETAIL: Different point dimensions in (1,2) and (1,2,3). SELECT '(1,2,3)ab'::cube AS cube; -- 4 ERROR: invalid input syntax for cube LINE 1: SELECT '(1,2,3)ab'::cube AS cube; ^ DETAIL: syntax error at or near "a" SELECT '(1,2,3)a'::cube AS cube; -- 5 ERROR: invalid input syntax for cube LINE 1: SELECT '(1,2,3)a'::cube AS cube; ^ DETAIL: syntax error at or near "a" SELECT '(1,2)('::cube AS cube; -- 5 ERROR: invalid input syntax for cube LINE 1: SELECT '(1,2)('::cube AS cube; ^ DETAIL: syntax error at or near "(" SELECT '1,2ab'::cube AS cube; -- 6 ERROR: invalid input syntax for cube LINE 1: SELECT '1,2ab'::cube AS cube; ^ DETAIL: syntax error at or near "a" SELECT '1 e7'::cube AS cube; -- 6 ERROR: invalid input syntax for cube LINE 1: SELECT '1 e7'::cube AS cube; ^ DETAIL: syntax error at or near "e" SELECT '1,2a'::cube AS cube; -- 7 ERROR: invalid input syntax for cube LINE 1: SELECT '1,2a'::cube AS cube; ^ DETAIL: syntax error at or near "a" SELECT '1..2'::cube AS cube; -- 7 ERROR: invalid input syntax for cube LINE 1: SELECT '1..2'::cube AS cube; ^ DETAIL: syntax error at or near ".2" SELECT '-1e-700'::cube AS cube; -- out of range ERROR: "-1e-700" is out of range for type double precision LINE 1: SELECT '-1e-700'::cube AS cube; ^ -- Also try it with non-error-throwing API SELECT pg_input_is_valid('(1,2)', 'cube'); pg_input_is_valid ------------------- t (1 row) SELECT pg_input_is_valid('[(1),]', 'cube'); pg_input_is_valid ------------------- f (1 row) SELECT pg_input_is_valid('-1e-700', 'cube'); pg_input_is_valid ------------------- f (1 row) SELECT * FROM pg_input_error_info('-1e-700', 'cube'); message | detail | hint | sql_error_code -----------------------------------------------------+--------+------+---------------- "-1e-700" is out of range for type double precision | | | 22003 (1 row) -- -- Testing building cubes from float8 values -- SELECT cube(0::float8); cube ------ (0) (1 row) SELECT cube(1::float8); cube ------ (1) (1 row) SELECT cube(1,2); cube --------- (1),(2) (1 row) SELECT cube(cube(1,2),3); cube --------------- (1, 3),(2, 3) (1 row) SELECT cube(cube(1,2),3,4); cube --------------- (1, 3),(2, 4) (1 row) SELECT cube(cube(cube(1,2),3,4),5); cube --------------------- (1, 3, 5),(2, 4, 5) (1 row) SELECT cube(cube(cube(1,2),3,4),5,6); cube --------------------- (1, 3, 5),(2, 4, 6) (1 row) -- -- Test that the text -> cube cast was installed. -- SELECT '(0)'::text::cube; cube ------ (0) (1 row) -- -- Test the float[] -> cube cast -- SELECT cube('{0,1,2}'::float[], '{3,4,5}'::float[]); cube --------------------- (0, 1, 2),(3, 4, 5) (1 row) SELECT cube('{0,1,2}'::float[], '{3}'::float[]); ERROR: UR and LL arrays must be of same length SELECT cube(NULL::float[], '{3}'::float[]); cube ------ (1 row) SELECT cube('{0,1,2}'::float[]); cube ----------- (0, 1, 2) (1 row) SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[3,2,1,1]); cube_subset --------------------------- (5, 3, 1, 1),(8, 7, 6, 6) (1 row) SELECT cube_subset(cube('(1,3,5),(1,3,5)'), ARRAY[3,2,1,1]); cube_subset -------------- (5, 3, 1, 1) (1 row) SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[4,0]); ERROR: Index out of bounds SELECT cube_subset(cube('(6,7,8),(6,7,8)'), ARRAY[4,0]); ERROR: Index out of bounds -- 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))); cube_subset -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- (6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6) (1 row) -- and this should fail SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,101))); ERROR: array is too long DETAIL: A cube cannot have more than 100 dimensions. -- -- Test point processing -- SELECT cube('(1,2),(1,2)'); -- cube_in cube -------- (1, 2) (1 row) SELECT cube('{0,1,2}'::float[], '{0,1,2}'::float[]); -- cube_a_f8_f8 cube ----------- (0, 1, 2) (1 row) SELECT cube('{5,6,7,8}'::float[]); -- cube_a_f8 cube -------------- (5, 6, 7, 8) (1 row) SELECT cube(1.37); -- cube_f8 cube -------- (1.37) (1 row) SELECT cube(1.37, 1.37); -- cube_f8_f8 cube -------- (1.37) (1 row) SELECT cube(cube(1,1), 42); -- cube_c_f8 cube --------- (1, 42) (1 row) SELECT cube(cube(1,2), 42); -- cube_c_f8 cube ----------------- (1, 42),(2, 42) (1 row) SELECT cube(cube(1,1), 42, 42); -- cube_c_f8_f8 cube --------- (1, 42) (1 row) SELECT cube(cube(1,1), 42, 24); -- cube_c_f8_f8 cube ----------------- (1, 42),(1, 24) (1 row) SELECT cube(cube(1,2), 42, 42); -- cube_c_f8_f8 cube ----------------- (1, 42),(2, 42) (1 row) SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8 cube ----------------- (1, 42),(2, 24) (1 row) -- -- 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; ERROR: invalid input syntax for cube LINE 1: 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... ^ DETAIL: A cube cannot have more than 100 dimensions. 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; ERROR: invalid input syntax for cube LINE 1: 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... ^ DETAIL: A cube cannot have more than 100 dimensions. -- from an array select cube(array(SELECT 0 as a FROM generate_series(1,101))); ERROR: array is too long DETAIL: A cube cannot have more than 100 dimensions. select cube(array(SELECT 0 as a FROM generate_series(1,101)),array(SELECT 0 as a FROM generate_series(1,101))); ERROR: can't extend cube DETAIL: A cube cannot have more than 100 dimensions. -- extend cube beyond limit -- this should work select cube(array(SELECT 0 as a FROM generate_series(1,100))); cube -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0) (1 row) select cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100))); cube -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0) (1 row) -- this should fail select cube(cube(array(SELECT 0 as a FROM generate_series(1,100))), 0); ERROR: can't extend cube DETAIL: A cube cannot have more than 100 dimensions. 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); ERROR: can't extend cube DETAIL: A cube cannot have more than 100 dimensions. -- -- testing the operators -- -- equality/inequality: -- SELECT '24, 33.20'::cube = '24, 33.20'::cube AS bool; bool ------ t (1 row) SELECT '24, 33.20'::cube != '24, 33.20'::cube AS bool; bool ------ f (1 row) SELECT '24, 33.20'::cube = '24, 33.21'::cube AS bool; bool ------ f (1 row) SELECT '24, 33.20'::cube != '24, 33.21'::cube AS bool; bool ------ t (1 row) SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool; bool ------ f (1 row) SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool; bool ------ f (1 row) -- "lower than" / "greater than" -- (these operators are not useful for anything but ordering) -- SELECT '1'::cube > '2'::cube AS bool; bool ------ f (1 row) SELECT '1'::cube < '2'::cube AS bool; bool ------ t (1 row) SELECT '1,1'::cube > '1,2'::cube AS bool; bool ------ f (1 row) SELECT '1,1'::cube < '1,2'::cube AS bool; bool ------ t (1 row) SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool; bool ------ f (1 row) SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool; bool ------ t (1 row) SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool; bool ------ f (1 row) SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool; bool ------ t (1 row) SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool; bool ------ f (1 row) SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool; bool ------ t (1 row) SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube > '(2,0),(3,1)'::cube AS bool; bool ------ t (1 row) SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube < '(2,0),(3,1)'::cube AS bool; bool ------ f (1 row) SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool; bool ------ t (1 row) SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool; bool ------ f (1 row) SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool; bool ------ t (1 row) SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool; bool ------ f (1 row) -- "overlap" -- SELECT '1'::cube && '1'::cube AS bool; bool ------ t (1 row) SELECT '1'::cube && '2'::cube AS bool; bool ------ f (1 row) SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '0'::cube AS bool; bool ------ t (1 row) SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1'::cube AS bool; bool ------ t (1 row) SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1,1,1'::cube AS bool; bool ------ t (1 row) SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1,1),(2,2,2)]'::cube AS bool; bool ------ t (1 row) SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1),(2,2)]'::cube AS bool; bool ------ t (1 row) SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(2,1,1),(2,2,2)]'::cube AS bool; bool ------ f (1 row) -- "contained in" (the left operand is the cube entirely enclosed by -- the right operand): -- SELECT '0'::cube <@ '0'::cube AS bool; bool ------ t (1 row) SELECT '0,0,0'::cube <@ '0,0,0'::cube AS bool; bool ------ t (1 row) SELECT '0,0'::cube <@ '0,0,1'::cube AS bool; bool ------ t (1 row) SELECT '0,0,0'::cube <@ '0,0,1'::cube AS bool; bool ------ f (1 row) SELECT '1,0,0'::cube <@ '0,0,1'::cube AS bool; bool ------ f (1 row) SELECT '(1,0,0),(0,0,1)'::cube <@ '(1,0,0),(0,0,1)'::cube AS bool; bool ------ t (1 row) SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1),(1,1,1)'::cube AS bool; bool ------ t (1 row) SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1,-1),(1,1,1,1)'::cube AS bool; bool ------ t (1 row) SELECT '0'::cube <@ '(-1),(1)'::cube AS bool; bool ------ t (1 row) SELECT '1'::cube <@ '(-1),(1)'::cube AS bool; bool ------ t (1 row) SELECT '-1'::cube <@ '(-1),(1)'::cube AS bool; bool ------ t (1 row) SELECT '(-1),(1)'::cube <@ '(-1),(1)'::cube AS bool; bool ------ t (1 row) SELECT '(-1),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool; bool ------ t (1 row) SELECT '(-2),(1)'::cube <@ '(-1),(1)'::cube AS bool; bool ------ f (1 row) SELECT '(-2),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool; bool ------ f (1 row) -- "contains" (the left operand is the cube that entirely encloses the -- right operand) -- SELECT '0'::cube @> '0'::cube AS bool; bool ------ t (1 row) SELECT '0,0,0'::cube @> '0,0,0'::cube AS bool; bool ------ t (1 row) SELECT '0,0,1'::cube @> '0,0'::cube AS bool; bool ------ t (1 row) SELECT '0,0,1'::cube @> '0,0,0'::cube AS bool; bool ------ f (1 row) SELECT '0,0,1'::cube @> '1,0,0'::cube AS bool; bool ------ f (1 row) SELECT '(1,0,0),(0,0,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool; bool ------ t (1 row) SELECT '(-1,-1,-1),(1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool; bool ------ t (1 row) SELECT '(-1,-1,-1,-1),(1,1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool; bool ------ t (1 row) SELECT '(-1),(1)'::cube @> '0'::cube AS bool; bool ------ t (1 row) SELECT '(-1),(1)'::cube @> '1'::cube AS bool; bool ------ t (1 row) SELECT '(-1),(1)'::cube @> '-1'::cube AS bool; bool ------ t (1 row) SELECT '(-1),(1)'::cube @> '(-1),(1)'::cube AS bool; bool ------ t (1 row) SELECT '(-1,-1),(1,1)'::cube @> '(-1),(1)'::cube AS bool; bool ------ t (1 row) SELECT '(-1),(1)'::cube @> '(-2),(1)'::cube AS bool; bool ------ f (1 row) SELECT '(-1,-1),(1,1)'::cube @> '(-2),(1)'::cube AS bool; bool ------ f (1 row) -- Test of distance function -- SELECT cube_distance('(0)'::cube,'(2,2,2,2)'::cube); cube_distance --------------- 4 (1 row) SELECT cube_distance('(0)'::cube,'(.3,.4)'::cube); cube_distance --------------- 0.5 (1 row) SELECT cube_distance('(2,3,4)'::cube,'(2,3,4)'::cube); cube_distance --------------- 0 (1 row) SELECT cube_distance('(42,42,42,42)'::cube,'(137,137,137,137)'::cube); cube_distance --------------- 190 (1 row) SELECT cube_distance('(42,42,42)'::cube,'(137,137)'::cube); cube_distance -------------------- 140.76221083799445 (1 row) -- Test of cube function (text to cube) -- SELECT cube('(1,1.2)'::text); cube ---------- (1, 1.2) (1 row) SELECT cube(NULL); cube ------ (1 row) -- Test of cube_dim function (dimensions stored in cube) -- SELECT cube_dim('(0)'::cube); cube_dim ---------- 1 (1 row) SELECT cube_dim('(0,0)'::cube); cube_dim ---------- 2 (1 row) SELECT cube_dim('(0,0,0)'::cube); cube_dim ---------- 3 (1 row) SELECT cube_dim('(42,42,42),(42,42,42)'::cube); cube_dim ---------- 3 (1 row) SELECT cube_dim('(4,8,15,16,23),(4,8,15,16,23)'::cube); cube_dim ---------- 5 (1 row) -- Test of cube_ll_coord function (retrieves LL coordinate values) -- SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 1); cube_ll_coord --------------- -1 (1 row) SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 2); cube_ll_coord --------------- -2 (1 row) SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 3); cube_ll_coord --------------- 0 (1 row) SELECT cube_ll_coord('(1,2),(1,2)'::cube, 1); cube_ll_coord --------------- 1 (1 row) SELECT cube_ll_coord('(1,2),(1,2)'::cube, 2); cube_ll_coord --------------- 2 (1 row) SELECT cube_ll_coord('(1,2),(1,2)'::cube, 3); cube_ll_coord --------------- 0 (1 row) SELECT cube_ll_coord('(42,137)'::cube, 1); cube_ll_coord --------------- 42 (1 row) SELECT cube_ll_coord('(42,137)'::cube, 2); cube_ll_coord --------------- 137 (1 row) SELECT cube_ll_coord('(42,137)'::cube, 3); cube_ll_coord --------------- 0 (1 row) -- Test of cube_ur_coord function (retrieves UR coordinate values) -- SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 1); cube_ur_coord --------------- 2 (1 row) SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 2); cube_ur_coord --------------- 1 (1 row) SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 3); cube_ur_coord --------------- 0 (1 row) SELECT cube_ur_coord('(1,2),(1,2)'::cube, 1); cube_ur_coord --------------- 1 (1 row) SELECT cube_ur_coord('(1,2),(1,2)'::cube, 2); cube_ur_coord --------------- 2 (1 row) SELECT cube_ur_coord('(1,2),(1,2)'::cube, 3); cube_ur_coord --------------- 0 (1 row) SELECT cube_ur_coord('(42,137)'::cube, 1); cube_ur_coord --------------- 42 (1 row) SELECT cube_ur_coord('(42,137)'::cube, 2); cube_ur_coord --------------- 137 (1 row) SELECT cube_ur_coord('(42,137)'::cube, 3); cube_ur_coord --------------- 0 (1 row) -- Test of cube_is_point -- SELECT cube_is_point('(0)'::cube); cube_is_point --------------- t (1 row) SELECT cube_is_point('(0,1,2)'::cube); cube_is_point --------------- t (1 row) SELECT cube_is_point('(0,1,2),(0,1,2)'::cube); cube_is_point --------------- t (1 row) SELECT cube_is_point('(0,1,2),(-1,1,2)'::cube); cube_is_point --------------- f (1 row) SELECT cube_is_point('(0,1,2),(0,-1,2)'::cube); cube_is_point --------------- f (1 row) SELECT cube_is_point('(0,1,2),(0,1,-2)'::cube); cube_is_point --------------- f (1 row) -- Test of cube_enlarge (enlarging and shrinking cubes) -- SELECT cube_enlarge('(0)'::cube, 0, 0); cube_enlarge -------------- (0) (1 row) SELECT cube_enlarge('(0)'::cube, 0, 1); cube_enlarge -------------- (0) (1 row) SELECT cube_enlarge('(0)'::cube, 0, 2); cube_enlarge -------------- (0) (1 row) SELECT cube_enlarge('(2),(-2)'::cube, 0, 4); cube_enlarge -------------- (-2),(2) (1 row) SELECT cube_enlarge('(0)'::cube, 1, 0); cube_enlarge -------------- (-1),(1) (1 row) SELECT cube_enlarge('(0)'::cube, 1, 1); cube_enlarge -------------- (-1),(1) (1 row) SELECT cube_enlarge('(0)'::cube, 1, 2); cube_enlarge ----------------- (-1, -1),(1, 1) (1 row) SELECT cube_enlarge('(2),(-2)'::cube, 1, 4); cube_enlarge ------------------------------- (-3, -1, -1, -1),(3, 1, 1, 1) (1 row) SELECT cube_enlarge('(0)'::cube, -1, 0); cube_enlarge -------------- (0) (1 row) SELECT cube_enlarge('(0)'::cube, -1, 1); cube_enlarge -------------- (0) (1 row) SELECT cube_enlarge('(0)'::cube, -1, 2); cube_enlarge -------------- (0) (1 row) SELECT cube_enlarge('(2),(-2)'::cube, -1, 4); cube_enlarge -------------- (-1),(1) (1 row) SELECT cube_enlarge('(0,0,0)'::cube, 1, 0); cube_enlarge ------------------------ (-1, -1, -1),(1, 1, 1) (1 row) SELECT cube_enlarge('(0,0,0)'::cube, 1, 2); cube_enlarge ------------------------ (-1, -1, -1),(1, 1, 1) (1 row) SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 1, 2); cube_enlarge ----------------- (-4, -3),(3, 8) (1 row) SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 3, 2); cube_enlarge ------------------ (-6, -5),(5, 10) (1 row) SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -1, 2); cube_enlarge ----------------- (-2, -1),(1, 6) (1 row) SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -3, 2); cube_enlarge --------------------- (-0.5, 1),(-0.5, 4) (1 row) SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -23, 5); cube_enlarge -------------- (42, 0, 0) (1 row) SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -24, 5); cube_enlarge -------------- (42, 0, 0) (1 row) -- Test of cube_union (MBR for two cubes) -- SELECT cube_union('(1,2),(3,4)'::cube, '(5,6,7),(8,9,10)'::cube); cube_union ---------------------- (1, 2, 0),(8, 9, 10) (1 row) SELECT cube_union('(1,2)'::cube, '(4,2,0,0)'::cube); cube_union --------------------------- (1, 2, 0, 0),(4, 2, 0, 0) (1 row) SELECT cube_union('(1,2),(1,2)'::cube, '(4,2),(4,2)'::cube); cube_union --------------- (1, 2),(4, 2) (1 row) SELECT cube_union('(1,2),(1,2)'::cube, '(1,2),(1,2)'::cube); cube_union ------------ (1, 2) (1 row) SELECT cube_union('(1,2),(1,2)'::cube, '(1,2,0),(1,2,0)'::cube); cube_union ------------ (1, 2, 0) (1 row) -- Test of cube_inter -- SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (16,15)'::cube); -- intersects cube_inter ----------------- (3, 4),(10, 11) (1 row) SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (6,5)'::cube); -- includes cube_inter --------------- (3, 4),(6, 5) (1 row) SELECT cube_inter('(1,2),(10,11)'::cube, '(13,14), (16,15)'::cube); -- no intersection cube_inter ------------------- (13, 14),(10, 11) (1 row) SELECT cube_inter('(1,2),(10,11)'::cube, '(3,14), (16,15)'::cube); -- no intersection, but one dimension intersects cube_inter ------------------ (3, 14),(10, 11) (1 row) SELECT cube_inter('(1,2),(10,11)'::cube, '(10,11), (16,15)'::cube); -- point intersection cube_inter ------------ (10, 11) (1 row) SELECT cube_inter('(1,2,3)'::cube, '(1,2,3)'::cube); -- point args cube_inter ------------ (1, 2, 3) (1 row) SELECT cube_inter('(1,2,3)'::cube, '(5,6,3)'::cube); -- point args cube_inter --------------------- (5, 6, 3),(1, 2, 3) (1 row) -- Test of cube_size -- SELECT cube_size('(4,8),(15,16)'::cube); cube_size ----------- 88 (1 row) SELECT cube_size('(42,137)'::cube); cube_size ----------- 0 (1 row) -- Test of distances (euclidean distance may not be bit-exact) -- SET extra_float_digits = 0; SELECT cube_distance('(1,1)'::cube, '(4,5)'::cube); cube_distance --------------- 5 (1 row) SELECT '(1,1)'::cube <-> '(4,5)'::cube as d_e; d_e ----- 5 (1 row) RESET extra_float_digits; SELECT distance_chebyshev('(1,1)'::cube, '(4,5)'::cube); distance_chebyshev -------------------- 4 (1 row) SELECT '(1,1)'::cube <=> '(4,5)'::cube as d_c; d_c ----- 4 (1 row) SELECT distance_taxicab('(1,1)'::cube, '(4,5)'::cube); distance_taxicab ------------------ 7 (1 row) SELECT '(1,1)'::cube <#> '(4,5)'::cube as d_t; d_t ----- 7 (1 row) -- zero for overlapping SELECT cube_distance('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube); cube_distance --------------- 0 (1 row) SELECT distance_chebyshev('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube); distance_chebyshev -------------------- 0 (1 row) SELECT distance_taxicab('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube); distance_taxicab ------------------ 0 (1 row) -- coordinate access SELECT cube(array[10,20,30], array[40,50,60])->1; ?column? ---------- 10 (1 row) SELECT cube(array[40,50,60], array[10,20,30])->1; ?column? ---------- 40 (1 row) SELECT cube(array[10,20,30], array[40,50,60])->6; ?column? ---------- 60 (1 row) SELECT cube(array[10,20,30], array[40,50,60])->0; ERROR: cube index 0 is out of bounds SELECT cube(array[10,20,30], array[40,50,60])->7; ERROR: cube index 7 is out of bounds SELECT cube(array[10,20,30], array[40,50,60])->-1; ERROR: cube index -1 is out of bounds SELECT cube(array[10,20,30], array[40,50,60])->-6; ERROR: cube index -6 is out of bounds SELECT cube(array[10,20,30])->3; ?column? ---------- 30 (1 row) SELECT cube(array[10,20,30])->6; ?column? ---------- 30 (1 row) SELECT cube(array[10,20,30])->-6; ERROR: cube index -6 is out of bounds -- "normalized" coordinate access SELECT cube(array[10,20,30], array[40,50,60])~>1; ?column? ---------- 10 (1 row) SELECT cube(array[40,50,60], array[10,20,30])~>1; ?column? ---------- 10 (1 row) SELECT cube(array[10,20,30], array[40,50,60])~>2; ?column? ---------- 40 (1 row) SELECT cube(array[40,50,60], array[10,20,30])~>2; ?column? ---------- 40 (1 row) SELECT cube(array[10,20,30], array[40,50,60])~>3; ?column? ---------- 20 (1 row) SELECT cube(array[40,50,60], array[10,20,30])~>3; ?column? ---------- 20 (1 row) SELECT cube(array[40,50,60], array[10,20,30])~>0; ERROR: zero cube index is not defined SELECT cube(array[40,50,60], array[10,20,30])~>4; ?column? ---------- 50 (1 row) SELECT cube(array[40,50,60], array[10,20,30])~>(-1); ?column? ---------- -10 (1 row) -- 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; c -------------------------- (337, 455),(240, 359) (759, 187),(662, 163) (1444, 403),(1346, 344) (1594, 1043),(1517, 971) (2424, 160),(2424, 81) (5 rows) -- Test sorting SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' GROUP BY c ORDER BY c; c -------------------------- (337, 455),(240, 359) (759, 187),(662, 163) (1444, 403),(1346, 344) (1594, 1043),(1517, 971) (2424, 160),(2424, 81) (5 rows) -- 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; QUERY PLAN -------------------------------------------------------- Sort Sort Key: c -> Index Only Scan using test_cube_ix on test_cube Index Cond: (c <@ '(3000, 1000),(0, 0)'::cube) (4 rows) SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c; c ------------------------- (337, 455),(240, 359) (759, 187),(662, 163) (1444, 403),(1346, 344) (2424, 160),(2424, 81) (4 rows) 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; c | dist -------------------------+------------------ (337, 455),(240, 359) | 0 (1, 1) | 140.007142674936 (759, 187),(662, 163) | 162 (948, 1201),(907, 1156) | 772.000647668122 (1444, 403),(1346, 344) | 846 (5 rows) 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; c | dist -------------------------+------ (337, 455),(240, 359) | 0 (1, 1) | 99 (759, 187),(662, 163) | 162 (948, 1201),(907, 1156) | 656 (1444, 403),(1346, 344) | 846 (5 rows) SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5; c | dist -------------------------+------ (337, 455),(240, 359) | 0 (759, 187),(662, 163) | 162 (1, 1) | 198 (1444, 403),(1346, 344) | 846 (369, 1457),(278, 1409) | 909 (5 rows) -- Test sorting by coordinates SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound ?column? | c ----------+--------------------------- 0 | (0, 100000) 1 | (1, 1) 3 | (54, 38679),(3, 38602) 15 | (83, 10271),(15, 10265) 64 | (122, 46832),(64, 46762) 92 | (167, 17214),(92, 17184) 107 | (161, 24465),(107, 24374) 120 | (162, 26040),(120, 25963) 138 | (154, 4019),(138, 3990) 175 | (259, 1850),(175, 1820) 179 | (207, 40886),(179, 40879) 204 | (288, 49588),(204, 49571) 226 | (270, 32616),(226, 32607) 235 | (318, 31489),(235, 31404) 240 | (337, 455),(240, 359) (15 rows) SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound ?column? | c ----------+--------------------------- 0 | (0, 100000) 1 | (1, 1) 54 | (54, 38679),(3, 38602) 83 | (83, 10271),(15, 10265) 122 | (122, 46832),(64, 46762) 154 | (154, 4019),(138, 3990) 161 | (161, 24465),(107, 24374) 162 | (162, 26040),(120, 25963) 167 | (167, 17214),(92, 17184) 207 | (207, 40886),(179, 40879) 259 | (259, 1850),(175, 1820) 270 | (270, 29508),(264, 29440) 270 | (270, 32616),(226, 32607) 288 | (288, 49588),(204, 49571) 318 | (318, 31489),(235, 31404) (15 rows) SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound ?column? | c ----------+--------------------------- 0 | (100000) 1 | (1, 1) 6 | (30333, 50),(30273, 6) 43 | (43301, 75),(43227, 43) 51 | (19650, 142),(19630, 51) 81 | (2424, 160),(2424, 81) 108 | (3449, 171),(3354, 108) 109 | (18037, 155),(17941, 109) 114 | (28511, 208),(28479, 114) 118 | (19946, 217),(19941, 118) 139 | (16906, 191),(16816, 139) 163 | (759, 187),(662, 163) 181 | (22684, 266),(22656, 181) 213 | (24423, 255),(24360, 213) 222 | (45989, 249),(45910, 222) (15 rows) SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound ?column? | c ----------+--------------------------- 0 | (100000) 1 | (1, 1) 50 | (30333, 50),(30273, 6) 75 | (43301, 75),(43227, 43) 142 | (19650, 142),(19630, 51) 155 | (18037, 155),(17941, 109) 160 | (2424, 160),(2424, 81) 171 | (3449, 171),(3354, 108) 187 | (759, 187),(662, 163) 191 | (16906, 191),(16816, 139) 208 | (28511, 208),(28479, 114) 217 | (19946, 217),(19941, 118) 249 | (45989, 249),(45910, 222) 255 | (24423, 255),(24360, 213) 266 | (22684, 266),(22656, 181) (15 rows) SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound ?column? | c ----------+------------------------------- -100000 | (100000) -49951 | (50027, 49230),(49951, 49214) -49937 | (49980, 35004),(49937, 34963) -49927 | (49985, 6436),(49927, 6338) -49908 | (49999, 27218),(49908, 27176) -49905 | (49954, 1340),(49905, 1294) -49902 | (49944, 25163),(49902, 25153) -49898 | (49981, 34876),(49898, 34786) -49897 | (49957, 43390),(49897, 43384) -49848 | (49853, 18504),(49848, 18503) -49818 | (49902, 41752),(49818, 41746) -49810 | (49907, 30225),(49810, 30158) -49808 | (49843, 5175),(49808, 5145) -49805 | (49887, 24274),(49805, 24184) -49798 | (49847, 7128),(49798, 7067) (15 rows) SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound ?column? | c ----------+------------------------------- -100000 | (100000) -50027 | (50027, 49230),(49951, 49214) -49999 | (49999, 27218),(49908, 27176) -49985 | (49985, 6436),(49927, 6338) -49981 | (49981, 34876),(49898, 34786) -49980 | (49980, 35004),(49937, 34963) -49957 | (49957, 43390),(49897, 43384) -49954 | (49954, 1340),(49905, 1294) -49944 | (49944, 25163),(49902, 25153) -49907 | (49907, 30225),(49810, 30158) -49902 | (49902, 41752),(49818, 41746) -49887 | (49887, 24274),(49805, 24184) -49853 | (49853, 18504),(49848, 18503) -49847 | (49847, 7128),(49798, 7067) -49843 | (49843, 5175),(49808, 5145) (15 rows) SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound ?column? | c ----------+------------------------------- -100000 | (0, 100000) -49992 | (30746, 50040),(30727, 49992) -49987 | (36311, 50073),(36258, 49987) -49934 | (3531, 49962),(3463, 49934) -49915 | (17954, 49975),(17865, 49915) -49914 | (2168, 50012),(2108, 49914) -49913 | (31287, 49923),(31236, 49913) -49885 | (21551, 49983),(21492, 49885) -49878 | (43925, 49912),(43888, 49878) -49849 | (19128, 49932),(19112, 49849) -49844 | (38266, 49852),(38233, 49844) -49836 | (14913, 49873),(14849, 49836) -49834 | (37595, 49849),(37581, 49834) -49830 | (46151, 49848),(46058, 49830) -49818 | (29261, 49910),(29247, 49818) (15 rows) SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound ?column? | c ----------+------------------------------- -100000 | (0, 100000) -50073 | (36311, 50073),(36258, 49987) -50040 | (30746, 50040),(30727, 49992) -50012 | (2168, 50012),(2108, 49914) -49983 | (21551, 49983),(21492, 49885) -49975 | (17954, 49975),(17865, 49915) -49962 | (3531, 49962),(3463, 49934) -49932 | (19128, 49932),(19112, 49849) -49923 | (31287, 49923),(31236, 49913) -49912 | (43925, 49912),(43888, 49878) -49910 | (29261, 49910),(29247, 49818) -49873 | (14913, 49873),(14849, 49836) -49858 | (20007, 49858),(19921, 49778) -49852 | (38266, 49852),(38233, 49844) -49849 | (37595, 49849),(37581, 49834) (15 rows) -- 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; c | dist -------------------------+------------------ (337, 455),(240, 359) | 0 (1, 1) | 140.007142674936 (759, 187),(662, 163) | 162 (948, 1201),(907, 1156) | 772.000647668122 (1444, 403),(1346, 344) | 846 (5 rows) 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; c | dist -------------------------+------ (337, 455),(240, 359) | 0 (1, 1) | 99 (759, 187),(662, 163) | 162 (948, 1201),(907, 1156) | 656 (1444, 403),(1346, 344) | 846 (5 rows) SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5; c | dist -------------------------+------ (337, 455),(240, 359) | 0 (759, 187),(662, 163) | 162 (1, 1) | 198 (1444, 403),(1346, 344) | 846 (369, 1457),(278, 1409) | 909 (5 rows) SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound ?column? | c ----------+--------------------------- 0 | (0, 100000) 1 | (1, 1) 3 | (54, 38679),(3, 38602) 15 | (83, 10271),(15, 10265) 64 | (122, 46832),(64, 46762) 92 | (167, 17214),(92, 17184) 107 | (161, 24465),(107, 24374) 120 | (162, 26040),(120, 25963) 138 | (154, 4019),(138, 3990) 175 | (259, 1850),(175, 1820) 179 | (207, 40886),(179, 40879) 204 | (288, 49588),(204, 49571) 226 | (270, 32616),(226, 32607) 235 | (318, 31489),(235, 31404) 240 | (337, 455),(240, 359) (15 rows) SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound ?column? | c ----------+--------------------------- 0 | (0, 100000) 1 | (1, 1) 54 | (54, 38679),(3, 38602) 83 | (83, 10271),(15, 10265) 122 | (122, 46832),(64, 46762) 154 | (154, 4019),(138, 3990) 161 | (161, 24465),(107, 24374) 162 | (162, 26040),(120, 25963) 167 | (167, 17214),(92, 17184) 207 | (207, 40886),(179, 40879) 259 | (259, 1850),(175, 1820) 270 | (270, 29508),(264, 29440) 270 | (270, 32616),(226, 32607) 288 | (288, 49588),(204, 49571) 318 | (318, 31489),(235, 31404) (15 rows) SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound ?column? | c ----------+--------------------------- 0 | (100000) 1 | (1, 1) 6 | (30333, 50),(30273, 6) 43 | (43301, 75),(43227, 43) 51 | (19650, 142),(19630, 51) 81 | (2424, 160),(2424, 81) 108 | (3449, 171),(3354, 108) 109 | (18037, 155),(17941, 109) 114 | (28511, 208),(28479, 114) 118 | (19946, 217),(19941, 118) 139 | (16906, 191),(16816, 139) 163 | (759, 187),(662, 163) 181 | (22684, 266),(22656, 181) 213 | (24423, 255),(24360, 213) 222 | (45989, 249),(45910, 222) (15 rows) SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound ?column? | c ----------+--------------------------- 0 | (100000) 1 | (1, 1) 50 | (30333, 50),(30273, 6) 75 | (43301, 75),(43227, 43) 142 | (19650, 142),(19630, 51) 155 | (18037, 155),(17941, 109) 160 | (2424, 160),(2424, 81) 171 | (3449, 171),(3354, 108) 187 | (759, 187),(662, 163) 191 | (16906, 191),(16816, 139) 208 | (28511, 208),(28479, 114) 217 | (19946, 217),(19941, 118) 249 | (45989, 249),(45910, 222) 255 | (24423, 255),(24360, 213) 266 | (22684, 266),(22656, 181) (15 rows) SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound ?column? | c ----------+------------------------------- -100000 | (100000) -49951 | (50027, 49230),(49951, 49214) -49937 | (49980, 35004),(49937, 34963) -49927 | (49985, 6436),(49927, 6338) -49908 | (49999, 27218),(49908, 27176) -49905 | (49954, 1340),(49905, 1294) -49902 | (49944, 25163),(49902, 25153) -49898 | (49981, 34876),(49898, 34786) -49897 | (49957, 43390),(49897, 43384) -49848 | (49853, 18504),(49848, 18503) -49818 | (49902, 41752),(49818, 41746) -49810 | (49907, 30225),(49810, 30158) -49808 | (49843, 5175),(49808, 5145) -49805 | (49887, 24274),(49805, 24184) -49798 | (49847, 7128),(49798, 7067) (15 rows) SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound ?column? | c ----------+------------------------------- -100000 | (100000) -50027 | (50027, 49230),(49951, 49214) -49999 | (49999, 27218),(49908, 27176) -49985 | (49985, 6436),(49927, 6338) -49981 | (49981, 34876),(49898, 34786) -49980 | (49980, 35004),(49937, 34963) -49957 | (49957, 43390),(49897, 43384) -49954 | (49954, 1340),(49905, 1294) -49944 | (49944, 25163),(49902, 25153) -49907 | (49907, 30225),(49810, 30158) -49902 | (49902, 41752),(49818, 41746) -49887 | (49887, 24274),(49805, 24184) -49853 | (49853, 18504),(49848, 18503) -49847 | (49847, 7128),(49798, 7067) -49843 | (49843, 5175),(49808, 5145) (15 rows) SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound ?column? | c ----------+------------------------------- -100000 | (0, 100000) -49992 | (30746, 50040),(30727, 49992) -49987 | (36311, 50073),(36258, 49987) -49934 | (3531, 49962),(3463, 49934) -49915 | (17954, 49975),(17865, 49915) -49914 | (2168, 50012),(2108, 49914) -49913 | (31287, 49923),(31236, 49913) -49885 | (21551, 49983),(21492, 49885) -49878 | (43925, 49912),(43888, 49878) -49849 | (19128, 49932),(19112, 49849) -49844 | (38266, 49852),(38233, 49844) -49836 | (14913, 49873),(14849, 49836) -49834 | (37595, 49849),(37581, 49834) -49830 | (46151, 49848),(46058, 49830) -49818 | (29261, 49910),(29247, 49818) (15 rows) SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound ?column? | c ----------+------------------------------- -100000 | (0, 100000) -50073 | (36311, 50073),(36258, 49987) -50040 | (30746, 50040),(30727, 49992) -50012 | (2168, 50012),(2108, 49914) -49983 | (21551, 49983),(21492, 49885) -49975 | (17954, 49975),(17865, 49915) -49962 | (3531, 49962),(3463, 49934) -49932 | (19128, 49932),(19112, 49849) -49923 | (31287, 49923),(31236, 49913) -49912 | (43925, 49912),(43888, 49878) -49910 | (29261, 49910),(29247, 49818) -49873 | (14913, 49873),(14849, 49836) -49858 | (20007, 49858),(19921, 49778) -49852 | (38266, 49852),(38233, 49844) -49849 | (37595, 49849),(37581, 49834) (15 rows) RESET enable_indexscan;