postgresql/contrib/cube/expected/cube_2.out

--
--  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 '1e27'::cube AS cube;
   cube   
----------
 (1e+027)
(1 row)

SELECT '-1e27'::cube AS cube;
   cube    
-----------
 (-1e+027)
(1 row)

SELECT '1.0e27'::cube AS cube;
   cube   
----------
 (1e+027)
(1 row)

SELECT '-1.0e27'::cube AS cube;
   cube    
-----------
 (-1e+027)
(1 row)

SELECT '1e+27'::cube AS cube;
   cube   
----------
 (1e+027)
(1 row)

SELECT '-1e+27'::cube AS cube;
   cube    
-----------
 (-1e+027)
(1 row)

SELECT '1.0e+27'::cube AS cube;
   cube   
----------
 (1e+027)
(1 row)

SELECT '-1.0e+27'::cube AS cube;
   cube    
-----------
 (-1e+027)
(1 row)

SELECT '1e-7'::cube AS cube;
   cube   
----------
 (1e-007)
(1 row)

SELECT '-1e-7'::cube AS cube;
   cube    
-----------
 (-1e-007)
(1 row)

SELECT '1.0e-7'::cube AS cube;
   cube   
----------
 (1e-007)
(1 row)

SELECT '-1.0e-7'::cube AS cube;
   cube    
-----------
 (-1e-007)
(1 row)

SELECT '1e-300'::cube AS cube;
   cube   
----------
 (1e-300)
(1 row)

SELECT '-1e-300'::cube AS cube;
   cube    
-----------
 (-1e-300)
(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           
-------------------------
 (1.23456789012346e+015)
(1 row)

SELECT '+1234567890123456'::cube AS cube;
          cube           
-------------------------
 (1.23456789012346e+015)
(1 row)

SELECT '-1234567890123456'::cube AS cube;
           cube           
--------------------------
 (-1.23456789012346e+015)
(1 row)

SELECT '.1234567890123456'::cube AS cube;
        cube         
---------------------
 (0.123456789012346)
(1 row)

SELECT '+.1234567890123456'::cube AS cube;
        cube         
---------------------
 (0.123456789012346)
(1 row)

SELECT '-.1234567890123456'::cube AS cube;
         cube         
----------------------
 (-0.123456789012346)
(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;
               ^
--
-- 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 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.
--
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.
--
-- 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   
------------------
 140.762210837994
(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
--
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)

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
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)

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;
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)

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;