Adding upstream version 13.4.upstream/13.4upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 1950 insertions, 0 deletions

diff --git a/contrib/cube/expected/cube.out b/contrib/cube/expected/cube.out
new file mode 100644
index 0000000..5b89cb1
--- /dev/null
+++ b/contrib/cube/expected/cube.out
@@ -0,0 +1,1950 @@
+--
+--  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;
+               ^
+--
+-- 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;