postgres/contrib/earthdistance/expected/earthdistance.out

--
--  Test earth distance functions
--
--
-- first, define the datatype.  Turn off echoing so that expected file
-- does not depend on contents of earthdistance.sql or cube.sql.
--
\set ECHO none
psql:../cube/cube.sql:10: NOTICE:  type "cube" is not yet defined
DETAIL:  Creating a shell type definition.
psql:../cube/cube.sql:15: NOTICE:  argument type cube is only a shell
--
-- The radius of the Earth we are using.
--
SELECT earth()::numeric(20,5);
     earth     
---------------
 6378168.00000
(1 row)

--
-- Convert straight line distances to great circle distances.
--
SELECT (pi()*earth())::numeric(20,5);
    numeric     
----------------
 20037605.73216
(1 row)

SELECT sec_to_gc(0)::numeric(20,5);
 sec_to_gc 
-----------
   0.00000
(1 row)

SELECT sec_to_gc(2*earth())::numeric(20,5);
   sec_to_gc    
----------------
 20037605.73216
(1 row)

SELECT sec_to_gc(10*earth())::numeric(20,5);
   sec_to_gc    
----------------
 20037605.73216
(1 row)

SELECT sec_to_gc(-earth())::numeric(20,5);
 sec_to_gc 
-----------
   0.00000
(1 row)

SELECT sec_to_gc(1000)::numeric(20,5);
 sec_to_gc  
------------
 1000.00000
(1 row)

SELECT sec_to_gc(10000)::numeric(20,5);
  sec_to_gc  
-------------
 10000.00102
(1 row)

SELECT sec_to_gc(100000)::numeric(20,5);
  sec_to_gc   
--------------
 100001.02426
(1 row)

SELECT sec_to_gc(1000000)::numeric(20,5);
   sec_to_gc   
---------------
 1001027.07131
(1 row)

--
-- Convert great circle distances to straight line distances.
--
SELECT gc_to_sec(0)::numeric(20,5);
 gc_to_sec 
-----------
   0.00000
(1 row)

SELECT gc_to_sec(sec_to_gc(2*earth()))::numeric(20,5);
   gc_to_sec    
----------------
 12756336.00000
(1 row)

SELECT gc_to_sec(10*earth())::numeric(20,5);
   gc_to_sec    
----------------
 12756336.00000
(1 row)

SELECT gc_to_sec(pi()*earth())::numeric(20,5);
   gc_to_sec    
----------------
 12756336.00000
(1 row)

SELECT gc_to_sec(-1000)::numeric(20,5);
 gc_to_sec 
-----------
   0.00000
(1 row)

SELECT gc_to_sec(1000)::numeric(20,5);
 gc_to_sec  
------------
 1000.00000
(1 row)

SELECT gc_to_sec(10000)::numeric(20,5);
 gc_to_sec  
------------
 9999.99898
(1 row)

SELECT gc_to_sec(100000)::numeric(20,5);
  gc_to_sec  
-------------
 99998.97577
(1 row)

SELECT gc_to_sec(1000000)::numeric(20,5);
  gc_to_sec   
--------------
 998976.08618
(1 row)

--
-- Set coordinates using latitude and longitude.
-- Extract each coordinate separately so we can round them.
--
SELECT cube_ll_coord(ll_to_earth(0,0),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(0,0),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(0,0),3)::numeric(20,5);
 cube_ll_coord | cube_ll_coord | cube_ll_coord 
---------------+---------------+---------------
 6378168.00000 |       0.00000 |       0.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(360,360),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(360,360),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(360,360),3)::numeric(20,5);
 cube_ll_coord | cube_ll_coord | cube_ll_coord 
---------------+---------------+---------------
 6378168.00000 |       0.00000 |       0.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(180,180),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(180,180),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(180,180),3)::numeric(20,5);
 cube_ll_coord | cube_ll_coord | cube_ll_coord 
---------------+---------------+---------------
 6378168.00000 |       0.00000 |       0.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(180,360),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(180,360),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(180,360),3)::numeric(20,5);
 cube_ll_coord  | cube_ll_coord | cube_ll_coord 
----------------+---------------+---------------
 -6378168.00000 |       0.00000 |       0.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(-180,-360),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(-180,-360),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(-180,-360),3)::numeric(20,5);
 cube_ll_coord  | cube_ll_coord | cube_ll_coord 
----------------+---------------+---------------
 -6378168.00000 |       0.00000 |       0.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(0,180),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(0,180),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(0,180),3)::numeric(20,5);
 cube_ll_coord  | cube_ll_coord | cube_ll_coord 
----------------+---------------+---------------
 -6378168.00000 |       0.00000 |       0.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(0,-180),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(0,-180),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(0,-180),3)::numeric(20,5);
 cube_ll_coord  | cube_ll_coord | cube_ll_coord 
----------------+---------------+---------------
 -6378168.00000 |       0.00000 |       0.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(90,0),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(90,0),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(90,0),3)::numeric(20,5);
 cube_ll_coord | cube_ll_coord | cube_ll_coord 
---------------+---------------+---------------
       0.00000 |       0.00000 | 6378168.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(90,180),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(90,180),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(90,180),3)::numeric(20,5);
 cube_ll_coord | cube_ll_coord | cube_ll_coord 
---------------+---------------+---------------
       0.00000 |       0.00000 | 6378168.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(-90,0),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(-90,0),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(-90,0),3)::numeric(20,5);
 cube_ll_coord | cube_ll_coord | cube_ll_coord  
---------------+---------------+----------------
       0.00000 |       0.00000 | -6378168.00000
(1 row)

SELECT cube_ll_coord(ll_to_earth(-90,180),1)::numeric(20,5),
 cube_ll_coord(ll_to_earth(-90,180),2)::numeric(20,5),
 cube_ll_coord(ll_to_earth(-90,180),3)::numeric(20,5);
 cube_ll_coord | cube_ll_coord | cube_ll_coord  
---------------+---------------+----------------
       0.00000 |       0.00000 | -6378168.00000
(1 row)

--
-- Test getting the latitude of a location.
--
SELECT latitude(ll_to_earth(0,0))::numeric(20,10);
   latitude   
--------------
 0.0000000000
(1 row)

SELECT latitude(ll_to_earth(45,0))::numeric(20,10);
   latitude    
---------------
 45.0000000000
(1 row)

SELECT latitude(ll_to_earth(90,0))::numeric(20,10);
   latitude    
---------------
 90.0000000000
(1 row)

SELECT latitude(ll_to_earth(-45,0))::numeric(20,10);
    latitude    
----------------
 -45.0000000000
(1 row)

SELECT latitude(ll_to_earth(-90,0))::numeric(20,10);
    latitude    
----------------
 -90.0000000000
(1 row)

SELECT latitude(ll_to_earth(0,90))::numeric(20,10);
   latitude   
--------------
 0.0000000000
(1 row)

SELECT latitude(ll_to_earth(45,90))::numeric(20,10);
   latitude    
---------------
 45.0000000000
(1 row)

SELECT latitude(ll_to_earth(90,90))::numeric(20,10);
   latitude    
---------------
 90.0000000000
(1 row)

SELECT latitude(ll_to_earth(-45,90))::numeric(20,10);
    latitude    
----------------
 -45.0000000000
(1 row)

SELECT latitude(ll_to_earth(-90,90))::numeric(20,10);
    latitude    
----------------
 -90.0000000000
(1 row)

SELECT latitude(ll_to_earth(0,180))::numeric(20,10);
   latitude   
--------------
 0.0000000000
(1 row)

SELECT latitude(ll_to_earth(45,180))::numeric(20,10);
   latitude    
---------------
 45.0000000000
(1 row)

SELECT latitude(ll_to_earth(90,180))::numeric(20,10);
   latitude    
---------------
 90.0000000000
(1 row)

SELECT latitude(ll_to_earth(-45,180))::numeric(20,10);
    latitude    
----------------
 -45.0000000000
(1 row)

SELECT latitude(ll_to_earth(-90,180))::numeric(20,10);
    latitude    
----------------
 -90.0000000000
(1 row)

SELECT latitude(ll_to_earth(0,-90))::numeric(20,10);
   latitude   
--------------
 0.0000000000
(1 row)

SELECT latitude(ll_to_earth(45,-90))::numeric(20,10);
   latitude    
---------------
 45.0000000000
(1 row)

SELECT latitude(ll_to_earth(90,-90))::numeric(20,10);
   latitude    
---------------
 90.0000000000
(1 row)

SELECT latitude(ll_to_earth(-45,-90))::numeric(20,10);
    latitude    
----------------
 -45.0000000000
(1 row)

SELECT latitude(ll_to_earth(-90,-90))::numeric(20,10);
    latitude    
----------------
 -90.0000000000
(1 row)

--
-- Test getting the longitude of a location.
--
SELECT longitude(ll_to_earth(0,0))::numeric(20,10);
  longitude   
--------------
 0.0000000000
(1 row)

SELECT longitude(ll_to_earth(45,0))::numeric(20,10);
  longitude   
--------------
 0.0000000000
(1 row)

SELECT longitude(ll_to_earth(90,0))::numeric(20,10);
  longitude   
--------------
 0.0000000000
(1 row)

SELECT longitude(ll_to_earth(-45,0))::numeric(20,10);
  longitude   
--------------
 0.0000000000
(1 row)

SELECT longitude(ll_to_earth(-90,0))::numeric(20,10);
  longitude   
--------------
 0.0000000000
(1 row)

SELECT longitude(ll_to_earth(0,90))::numeric(20,10);
   longitude   
---------------
 90.0000000000
(1 row)

SELECT longitude(ll_to_earth(45,90))::numeric(20,10);
   longitude   
---------------
 90.0000000000
(1 row)

SELECT longitude(ll_to_earth(90,90))::numeric(20,10);
   longitude   
---------------
 90.0000000000
(1 row)

SELECT longitude(ll_to_earth(-45,90))::numeric(20,10);
   longitude   
---------------
 90.0000000000
(1 row)

SELECT longitude(ll_to_earth(-90,90))::numeric(20,10);
   longitude   
---------------
 90.0000000000
(1 row)

SELECT longitude(ll_to_earth(0,180))::numeric(20,10);
   longitude    
----------------
 180.0000000000
(1 row)

SELECT longitude(ll_to_earth(45,180))::numeric(20,10);
   longitude    
----------------
 180.0000000000
(1 row)

SELECT longitude(ll_to_earth(90,180))::numeric(20,10);
   longitude    
----------------
 180.0000000000
(1 row)

SELECT longitude(ll_to_earth(-45,180))::numeric(20,10);
   longitude    
----------------
 180.0000000000
(1 row)

SELECT longitude(ll_to_earth(-90,180))::numeric(20,10);
   longitude    
----------------
 180.0000000000
(1 row)

SELECT longitude(ll_to_earth(0,-90))::numeric(20,10);
   longitude    
----------------
 -90.0000000000
(1 row)

SELECT longitude(ll_to_earth(45,-90))::numeric(20,10);
   longitude    
----------------
 -90.0000000000
(1 row)

SELECT longitude(ll_to_earth(90,-90))::numeric(20,10);
   longitude    
----------------
 -90.0000000000
(1 row)

SELECT longitude(ll_to_earth(-45,-90))::numeric(20,10);
   longitude    
----------------
 -90.0000000000
(1 row)

SELECT longitude(ll_to_earth(-90,-90))::numeric(20,10);
   longitude    
----------------
 -90.0000000000
(1 row)

--
-- For the distance tests the following is some real life data.
--
-- Chicago has a latitude of 41.8 and a longitude of 87.6.
-- Albuquerque has a latitude of 35.1 and a longitude of 106.7.
-- (Note that latitude and longitude are specified differently
-- in the cube based functions than for the point based functions.)
--
--
-- Test getting the distance between two points using earth_distance.
--
SELECT earth_distance(ll_to_earth(0,0),ll_to_earth(0,0))::numeric(20,5);
 earth_distance 
----------------
        0.00000
(1 row)

SELECT earth_distance(ll_to_earth(0,0),ll_to_earth(0,180))::numeric(20,5);
 earth_distance 
----------------
 20037605.73216
(1 row)

SELECT earth_distance(ll_to_earth(0,0),ll_to_earth(90,0))::numeric(20,5);
 earth_distance 
----------------
 10018802.86608
(1 row)

SELECT earth_distance(ll_to_earth(0,0),ll_to_earth(0,90))::numeric(20,5);
 earth_distance 
----------------
 10018802.86608
(1 row)

SELECT earth_distance(ll_to_earth(0,0),ll_to_earth(0,1))::numeric(20,5);
 earth_distance 
----------------
   111320.03185
(1 row)

SELECT earth_distance(ll_to_earth(0,0),ll_to_earth(1,0))::numeric(20,5);
 earth_distance 
----------------
   111320.03185
(1 row)

SELECT earth_distance(ll_to_earth(30,0),ll_to_earth(30,1))::numeric(20,5);
 earth_distance 
----------------
    96405.66962
(1 row)

SELECT earth_distance(ll_to_earth(30,0),ll_to_earth(31,0))::numeric(20,5);
 earth_distance 
----------------
   111320.03185
(1 row)

SELECT earth_distance(ll_to_earth(60,0),ll_to_earth(60,1))::numeric(20,5);
 earth_distance 
----------------
    55659.48608
(1 row)

SELECT earth_distance(ll_to_earth(60,0),ll_to_earth(61,0))::numeric(20,5);
 earth_distance 
----------------
   111320.03185
(1 row)

SELECT earth_distance(ll_to_earth(41.8,87.6),ll_to_earth(35.1,106.7))::numeric(20,5);
 earth_distance 
----------------
  1819303.21265
(1 row)

SELECT (earth_distance(ll_to_earth(41.8,87.6),ll_to_earth(35.1,106.7))*
      100./2.54/12./5280.)::numeric(20,5);
  numeric   
------------
 1130.46261
(1 row)

--
-- Test getting the distance between two points using geo_distance.
--
SELECT geo_distance('(0,0)'::point,'(0,0)'::point)::numeric(20,5);
 geo_distance 
--------------
      0.00000
(1 row)

SELECT geo_distance('(0,0)'::point,'(180,0)'::point)::numeric(20,5);
 geo_distance 
--------------
  12436.77274
(1 row)

SELECT geo_distance('(0,0)'::point,'(0,90)'::point)::numeric(20,5);
 geo_distance 
--------------
   6218.38637
(1 row)

SELECT geo_distance('(0,0)'::point,'(90,0)'::point)::numeric(20,5);
 geo_distance 
--------------
   6218.38637
(1 row)

SELECT geo_distance('(0,0)'::point,'(1,0)'::point)::numeric(20,5);
 geo_distance 
--------------
     69.09318
(1 row)

SELECT geo_distance('(0,0)'::point,'(0,1)'::point)::numeric(20,5);
 geo_distance 
--------------
     69.09318
(1 row)

SELECT geo_distance('(0,30)'::point,'(1,30)'::point)::numeric(20,5);
 geo_distance 
--------------
     59.83626
(1 row)

SELECT geo_distance('(0,30)'::point,'(0,31)'::point)::numeric(20,5);
 geo_distance 
--------------
     69.09318
(1 row)

SELECT geo_distance('(0,60)'::point,'(1,60)'::point)::numeric(20,5);
 geo_distance 
--------------
     34.54626
(1 row)

SELECT geo_distance('(0,60)'::point,'(0,61)'::point)::numeric(20,5);
 geo_distance 
--------------
     69.09318
(1 row)

SELECT geo_distance('(87.6,41.8)'::point,'(106.7,35.1)'::point)::numeric(20,5);
 geo_distance 
--------------
   1129.18983
(1 row)

SELECT (geo_distance('(87.6,41.8)'::point,'(106.7,35.1)'::point)*5280.*12.*2.54/100.)::numeric(20,5);
    numeric    
---------------
 1817254.87730
(1 row)

--
-- Test getting the distance between two points using the <@> operator.
--
SELECT ('(0,0)'::point <@> '(0,0)'::point)::numeric(20,5);
 numeric 
---------
 0.00000
(1 row)

SELECT ('(0,0)'::point <@> '(180,0)'::point)::numeric(20,5);
   numeric   
-------------
 12436.77274
(1 row)

SELECT ('(0,0)'::point <@> '(0,90)'::point)::numeric(20,5);
  numeric   
------------
 6218.38637
(1 row)

SELECT ('(0,0)'::point <@> '(90,0)'::point)::numeric(20,5);
  numeric   
------------
 6218.38637
(1 row)

SELECT ('(0,0)'::point <@> '(1,0)'::point)::numeric(20,5);
 numeric  
----------
 69.09318
(1 row)

SELECT ('(0,0)'::point <@> '(0,1)'::point)::numeric(20,5);
 numeric  
----------
 69.09318
(1 row)

SELECT ('(0,30)'::point <@> '(1,30)'::point)::numeric(20,5);
 numeric  
----------
 59.83626
(1 row)

SELECT ('(0,30)'::point <@> '(0,31)'::point)::numeric(20,5);
 numeric  
----------
 69.09318
(1 row)

SELECT ('(0,60)'::point <@> '(1,60)'::point)::numeric(20,5);
 numeric  
----------
 34.54626
(1 row)

SELECT ('(0,60)'::point <@> '(0,61)'::point)::numeric(20,5);
 numeric  
----------
 69.09318
(1 row)

SELECT ('(87.6,41.8)'::point <@> '(106.7,35.1)'::point)::numeric(20,5);
  numeric   
------------
 1129.18983
(1 row)

SELECT (('(87.6,41.8)'::point <@> '(106.7,35.1)'::point)*5280.*12.*2.54/100.)::numeric(20,5);
    numeric    
---------------
 1817254.87730
(1 row)

--
-- Test getting a bounding box around points.
--
SELECT cube_ll_coord(earth_box(ll_to_earth(0,0),112000),1)::numeric(20,5),
       cube_ll_coord(earth_box(ll_to_earth(0,0),112000),2)::numeric(20,5),
       cube_ll_coord(earth_box(ll_to_earth(0,0),112000),3)::numeric(20,5),
       cube_ur_coord(earth_box(ll_to_earth(0,0),112000),1)::numeric(20,5),
       cube_ur_coord(earth_box(ll_to_earth(0,0),112000),2)::numeric(20,5),
       cube_ur_coord(earth_box(ll_to_earth(0,0),112000),3)::numeric(20,5);
 cube_ll_coord | cube_ll_coord | cube_ll_coord | cube_ur_coord | cube_ur_coord | cube_ur_coord 
---------------+---------------+---------------+---------------+---------------+---------------
 6266169.43896 | -111998.56104 | -111998.56104 | 6490166.56104 |  111998.56104 |  111998.56104
(1 row)

SELECT cube_ll_coord(earth_box(ll_to_earth(0,0),pi()*earth()),1)::numeric(20,5),
       cube_ll_coord(earth_box(ll_to_earth(0,0),pi()*earth()),2)::numeric(20,5),
       cube_ll_coord(earth_box(ll_to_earth(0,0),pi()*earth()),3)::numeric(20,5),
       cube_ur_coord(earth_box(ll_to_earth(0,0),pi()*earth()),1)::numeric(20,5),
       cube_ur_coord(earth_box(ll_to_earth(0,0),pi()*earth()),2)::numeric(20,5),
       cube_ur_coord(earth_box(ll_to_earth(0,0),pi()*earth()),3)::numeric(20,5);
 cube_ll_coord  |  cube_ll_coord  |  cube_ll_coord  | cube_ur_coord  | cube_ur_coord  | cube_ur_coord  
----------------+-----------------+-----------------+----------------+----------------+----------------
 -6378168.00000 | -12756336.00000 | -12756336.00000 | 19134504.00000 | 12756336.00000 | 12756336.00000
(1 row)

SELECT cube_ll_coord(earth_box(ll_to_earth(0,0),10*earth()),1)::numeric(20,5),
       cube_ll_coord(earth_box(ll_to_earth(0,0),10*earth()),2)::numeric(20,5),
       cube_ll_coord(earth_box(ll_to_earth(0,0),10*earth()),3)::numeric(20,5),
       cube_ur_coord(earth_box(ll_to_earth(0,0),10*earth()),1)::numeric(20,5),
       cube_ur_coord(earth_box(ll_to_earth(0,0),10*earth()),2)::numeric(20,5),
       cube_ur_coord(earth_box(ll_to_earth(0,0),10*earth()),3)::numeric(20,5);
 cube_ll_coord  |  cube_ll_coord  |  cube_ll_coord  | cube_ur_coord  | cube_ur_coord  | cube_ur_coord  
----------------+-----------------+-----------------+----------------+----------------+----------------
 -6378168.00000 | -12756336.00000 | -12756336.00000 | 19134504.00000 | 12756336.00000 | 12756336.00000
(1 row)

--
-- Test for points that should be in bounding boxes.
--
SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,1))*1.00001) @
       ll_to_earth(0,1);
 ?column? 
----------
 t
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.1))*1.00001) @
       ll_to_earth(0,0.1);
 ?column? 
----------
 t
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.01))*1.00001) @
       ll_to_earth(0,0.01);
 ?column? 
----------
 t
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.001))*1.00001) @
       ll_to_earth(0,0.001);
 ?column? 
----------
 t
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.0001))*1.00001) @
       ll_to_earth(0,0.0001);
 ?column? 
----------
 t
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0.0001,0.0001))*1.00001) @
       ll_to_earth(0.0001,0.0001);
 ?column? 
----------
 t
(1 row)

SELECT earth_box(ll_to_earth(45,45),
       earth_distance(ll_to_earth(45,45),ll_to_earth(45.0001,45.0001))*1.00001) @
       ll_to_earth(45.0001,45.0001);
 ?column? 
----------
 t
(1 row)

SELECT earth_box(ll_to_earth(90,180),
       earth_distance(ll_to_earth(90,180),ll_to_earth(90.0001,180.0001))*1.00001) @
       ll_to_earth(90.0001,180.0001);
 ?column? 
----------
 t
(1 row)

--
-- Test for points that shouldn't be in bounding boxes. Note that we need
-- to make points way outside, since some points close may be in the box
-- but further away than the distance we are testing.
--
SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,1))*.57735) @
       ll_to_earth(0,1);
 ?column? 
----------
 f
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.1))*.57735) @
       ll_to_earth(0,0.1);
 ?column? 
----------
 f
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.01))*.57735) @
       ll_to_earth(0,0.01);
 ?column? 
----------
 f
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.001))*.57735) @
       ll_to_earth(0,0.001);
 ?column? 
----------
 f
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.0001))*.57735) @
       ll_to_earth(0,0.0001);
 ?column? 
----------
 f
(1 row)

SELECT earth_box(ll_to_earth(0,0),
       earth_distance(ll_to_earth(0,0),ll_to_earth(0.0001,0.0001))*.57735) @
       ll_to_earth(0.0001,0.0001);
 ?column? 
----------
 f
(1 row)

SELECT earth_box(ll_to_earth(45,45),
       earth_distance(ll_to_earth(45,45),ll_to_earth(45.0001,45.0001))*.57735) @
       ll_to_earth(45.0001,45.0001);
 ?column? 
----------
 f
(1 row)

SELECT earth_box(ll_to_earth(90,180),
       earth_distance(ll_to_earth(90,180),ll_to_earth(90.0001,180.0001))*.57735) @
       ll_to_earth(90.0001,180.0001);
 ?column? 
----------
 f
(1 row)

--
-- Test the recommended constraints.
--
SELECT is_point(ll_to_earth(0,0));
ERROR:  function is_point(earth) does not exist
HINT:  No function matches the given name and argument types. You may need to add explicit typecasts.
SELECT cube_dim(ll_to_earth(0,0)) <= 3;
 ?column? 
----------
 t
(1 row)

SELECT abs(cube_distance(ll_to_earth(0,0), '(0)'::cube) / earth() - 1) <
       '10e-12'::float8;
 ?column? 
----------
 t
(1 row)

SELECT is_point(ll_to_earth(30,60));
ERROR:  function is_point(earth) does not exist
HINT:  No function matches the given name and argument types. You may need to add explicit typecasts.
SELECT cube_dim(ll_to_earth(30,60)) <= 3;
 ?column? 
----------
 t
(1 row)

SELECT abs(cube_distance(ll_to_earth(30,60), '(0)'::cube) / earth() - 1) <
       '10e-12'::float8;
 ?column? 
----------
 t
(1 row)

SELECT is_point(ll_to_earth(60,90));
ERROR:  function is_point(earth) does not exist
HINT:  No function matches the given name and argument types. You may need to add explicit typecasts.
SELECT cube_dim(ll_to_earth(60,90)) <= 3;
 ?column? 
----------
 t
(1 row)

SELECT abs(cube_distance(ll_to_earth(60,90), '(0)'::cube) / earth() - 1) <
       '10e-12'::float8;
 ?column? 
----------
 t
(1 row)

SELECT is_point(ll_to_earth(-30,-90));
ERROR:  function is_point(earth) does not exist
HINT:  No function matches the given name and argument types. You may need to add explicit typecasts.
SELECT cube_dim(ll_to_earth(-30,-90)) <= 3;
 ?column? 
----------
 t
(1 row)

SELECT abs(cube_distance(ll_to_earth(-30,-90), '(0)'::cube) / earth() - 1) <
       '10e-12'::float8;
 ?column? 
----------
 t
(1 row)