--
--  Test seg datatype
--
--
-- first, define the datatype.  Turn off echoing so that expected file
-- does not depend on contents of seg.sql.
--
\set ECHO none
psql:seg.sql:10: NOTICE:  type "seg" is not yet defined
DETAIL:  Creating a shell type definition.
psql:seg.sql:15: NOTICE:  argument type seg is only a shell
--
-- testing the input and output functions
--
-- Any number
SELECT '1'::seg AS seg;
 seg 
-----
 1
(1 row)

SELECT '-1'::seg AS seg;
 seg 
-----
 -1
(1 row)

SELECT '1.0'::seg AS seg;
 seg 
-----
 1.0
(1 row)

SELECT '-1.0'::seg AS seg;
 seg  
------
 -1.0
(1 row)

SELECT '1e7'::seg AS seg;
  seg   
--------
 1e+007
(1 row)

SELECT '-1e7'::seg AS seg;
   seg   
---------
 -1e+007
(1 row)

SELECT '1.0e7'::seg AS seg;
   seg    
----------
 1.0e+007
(1 row)

SELECT '-1.0e7'::seg AS seg;
    seg    
-----------
 -1.0e+007
(1 row)

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

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

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

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

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

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

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

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

SELECT '2e-6'::seg AS seg;
  seg   
--------
 2e-006
(1 row)

SELECT '2e-5'::seg AS seg;
  seg   
--------
 2e-005
(1 row)

SELECT '2e-4'::seg AS seg;
  seg   
--------
 0.0002
(1 row)

SELECT '2e-3'::seg AS seg;
  seg  
-------
 0.002
(1 row)

SELECT '2e-2'::seg AS seg;
 seg  
------
 0.02
(1 row)

SELECT '2e-1'::seg AS seg;
 seg 
-----
 0.2
(1 row)

SELECT '2e-0'::seg AS seg;
 seg 
-----
 2
(1 row)

SELECT '2e+0'::seg AS seg;
 seg 
-----
 2
(1 row)

SELECT '2e+1'::seg AS seg;
 seg 
-----
 2e1
(1 row)

SELECT '2e+2'::seg AS seg;
 seg 
-----
 2e2
(1 row)

SELECT '2e+3'::seg AS seg;
 seg 
-----
 2e3
(1 row)

SELECT '2e+4'::seg AS seg;
 seg 
-----
 2e4
(1 row)

SELECT '2e+5'::seg AS seg;
  seg   
--------
 2e+005
(1 row)

SELECT '2e+6'::seg AS seg;
  seg   
--------
 2e+006
(1 row)

-- Significant digits preserved
SELECT '1'::seg AS seg;
 seg 
-----
 1
(1 row)

SELECT '1.0'::seg AS seg;
 seg 
-----
 1.0
(1 row)

SELECT '1.00'::seg AS seg;
 seg  
------
 1.00
(1 row)

SELECT '1.000'::seg AS seg;
  seg  
-------
 1.000
(1 row)

SELECT '1.0000'::seg AS seg;
  seg   
--------
 1.0000
(1 row)

SELECT '1.00000'::seg AS seg;
   seg   
---------
 1.00000
(1 row)

SELECT '1.000000'::seg AS seg;
   seg   
---------
 1.00000
(1 row)

SELECT '0.000000120'::seg AS seg;
    seg    
-----------
 1.20e-007
(1 row)

SELECT '3.400e5'::seg AS seg;
    seg     
------------
 3.400e+005
(1 row)

-- Digits truncated
SELECT '12.34567890123456'::seg AS seg;
   seg   
---------
 12.3457
(1 row)

-- Numbers with certainty indicators
SELECT '~6.5'::seg AS seg;
 seg  
------
 ~6.5
(1 row)

SELECT '<6.5'::seg AS seg;
 seg  
------
 <6.5
(1 row)

SELECT '>6.5'::seg AS seg;
 seg  
------
 >6.5
(1 row)

SELECT '~ 6.5'::seg AS seg;
 seg  
------
 ~6.5
(1 row)

SELECT '< 6.5'::seg AS seg;
 seg  
------
 <6.5
(1 row)

SELECT '> 6.5'::seg AS seg;
 seg  
------
 >6.5
(1 row)

-- Open intervals
SELECT '0..'::seg AS seg;
 seg  
------
 0 ..
(1 row)

SELECT '0...'::seg AS seg;
 seg  
------
 0 ..
(1 row)

SELECT '0 ..'::seg AS seg;
 seg  
------
 0 ..
(1 row)

SELECT '0 ...'::seg AS seg;
 seg  
------
 0 ..
(1 row)

SELECT '..0'::seg AS seg;
 seg  
------
 .. 0
(1 row)

SELECT '...0'::seg AS seg;
 seg  
------
 .. 0
(1 row)

SELECT '.. 0'::seg AS seg;
 seg  
------
 .. 0
(1 row)

SELECT '... 0'::seg AS seg;
 seg  
------
 .. 0
(1 row)

-- Finite intervals
SELECT '0 .. 1'::seg AS seg;
  seg   
--------
 0 .. 1
(1 row)

SELECT '-1 .. 0'::seg AS seg;
   seg   
---------
 -1 .. 0
(1 row)

SELECT '-1 .. 1'::seg AS seg;
   seg   
---------
 -1 .. 1
(1 row)

-- (+/-) intervals
SELECT '0(+-)1'::seg AS seg;
   seg   
---------
 -1 .. 1
(1 row)

SELECT '0(+-)1.0'::seg AS seg;
     seg     
-------------
 -1.0 .. 1.0
(1 row)

SELECT '1.0(+-)0.005'::seg AS seg;
      seg       
----------------
 0.995 .. 1.005
(1 row)

SELECT '101(+-)1'::seg AS seg;
       seg        
------------------
 1.00e2 .. 1.02e2
(1 row)

-- incorrect number of significant digits in 99.0:
SELECT '100(+-)1'::seg AS seg;
      seg       
----------------
 99.0 .. 1.01e2
(1 row)

-- invalid input
SELECT ''::seg AS seg;
ERROR:  bad seg representation
DETAIL:  syntax error at end of input
SELECT 'ABC'::seg AS seg;
ERROR:  bad seg representation
DETAIL:  syntax error at or near "A"
SELECT '1ABC'::seg AS seg;
ERROR:  bad seg representation
DETAIL:  syntax error at or near "A"
SELECT '1.'::seg AS seg;
ERROR:  bad seg representation
DETAIL:  syntax error at or near "."
SELECT '1.....'::seg AS seg;
ERROR:  bad seg representation
DETAIL:  syntax error at or near ".."
SELECT '.1'::seg AS seg;
ERROR:  bad seg representation
DETAIL:  syntax error at or near "."
SELECT '1..2.'::seg AS seg;
ERROR:  bad seg representation
DETAIL:  syntax error at or near "."
SELECT '1 e7'::seg AS seg;
ERROR:  bad seg representation
DETAIL:  syntax error at or near "e"
SELECT '1e700'::seg AS seg;
ERROR:  "1e700" is out of range for type real
--
-- testing the  operators
--
-- equality/inequality:
--
SELECT '24 .. 33.20'::seg = '24 .. 33.20'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '24 .. 33.20'::seg = '24 .. 33.21'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '24 .. 33.20'::seg != '24 .. 33.20'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '24 .. 33.20'::seg != '24 .. 33.21'::seg AS bool;
 bool 
------
 t
(1 row)

-- overlap
--
SELECT '1'::seg && '1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '1'::seg && '2'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 ..'::seg && '0 ..'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg && '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '..0'::seg && '0..'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '-1 .. 0.1'::seg && '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '-1 .. 0'::seg && '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '-1 .. -0.0001'::seg && '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 ..'::seg && '1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg && '1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg && '2'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 2'::seg && '1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '1'::seg && '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '2'::seg && '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '1'::seg && '0 .. 2'::seg AS bool;
 bool 
------
 t
(1 row)

-- overlap on the left
--
SELECT '1'::seg &< '0'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '1'::seg &< '1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '1'::seg &< '2'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg &< '0'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg &< '1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg &< '2'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg &< '0 .. 0.5'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg &< '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg &< '0 .. 2'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg &< '1 .. 2'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg &< '2 .. 3'::seg AS bool;
 bool 
------
 f
(1 row)

-- overlap on the right
--
SELECT '0'::seg &> '1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '1'::seg &> '1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '2'::seg &> '1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0'::seg &> '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '1'::seg &> '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '2'::seg &> '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 0.5'::seg &> '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg &> '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 2'::seg &> '0 .. 2'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '1 .. 2'::seg &> '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '2 .. 3'::seg &> '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

-- left
--
SELECT '1'::seg << '0'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '1'::seg << '1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '1'::seg << '2'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg << '0'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg << '1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg << '2'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 1'::seg << '0 .. 0.5'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg << '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg << '0 .. 2'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg << '1 .. 2'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg << '2 .. 3'::seg AS bool;
 bool 
------
 t
(1 row)

-- right
--
SELECT '0'::seg >> '1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '1'::seg >> '1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '2'::seg >> '1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0'::seg >> '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '1'::seg >> '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '2'::seg >> '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. 0.5'::seg >> '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 1'::seg >> '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0 .. 2'::seg >> '0 .. 2'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '1 .. 2'::seg >> '0 .. 1'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '2 .. 3'::seg >> '0 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

-- "contained in" (the left value belongs within the interval specified in the right value):
--
SELECT '0'::seg        ~ '0'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0'::seg        ~ '0 ..'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0'::seg        ~ '.. 0'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0'::seg        ~ '-1 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0'::seg        ~ '-1 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '-1'::seg       ~ '-1 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '1'::seg        ~ '-1 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '-1 .. 1'::seg  ~ '-1 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

-- "contains" (the left value contains the interval specified in the right value):
--
SELECT '0'::seg @ '0'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '0 .. '::seg ~ '0'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '.. 0'::seg ~ '0'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '-1 .. 1'::seg ~ '0'::seg AS bool;
 bool 
------
 f
(1 row)

SELECT '0'::seg ~ '-1 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '-1'::seg ~ '-1 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

SELECT '1'::seg ~ '-1 .. 1'::seg AS bool;
 bool 
------
 t
(1 row)

-- Load some example data and build the index
-- 
CREATE TABLE test_seg (s seg);
\copy test_seg from 'data/test_seg.data'
CREATE INDEX test_seg_ix ON test_seg USING gist (s);
SELECT count(*) FROM test_seg WHERE s @ '11..11.3';
 count 
-------
   143
(1 row)

-- Test sorting 
SELECT * FROM test_seg WHERE s @ '11..11.3' GROUP BY s;
        s        
-----------------
 .. 4.0e1
 .. >8.2e1
 .. 9.0e1
 <1.0 .. >13.0
 1.3 .. 12.0
 2.0 .. 11.5
 2.1 .. 11.8
 <2.3 ..
 >2.3 ..
 2.4 .. 11.3
 2.5 .. 11.5
 2.5 .. 11.8
 2.6 ..
 2.7 .. 12.0
 <3.0 ..
 3 .. 5.8e1
 3.1 .. 11.5
 3.5 .. 11.5
 3.5 .. 12.2
 <4.0 .. >1.2e1
 <4.0 ..
 4 .. 1.2e1
 4.0 .. 11.7
 4.0 .. 12.5
 4.0 .. 13.0
 4.0 .. 6.0e1
 4.0 ..
 4.2 .. 11.5
 4.2 .. 11.7
 <4.5 .. >1.2e1
 4.5 .. 11.5
 4.5 .. <1.2e1
 4.5 .. >1.2e1
 4.5 .. 12.5
 4.5 .. 1.15e2
 4.7 .. 11.8
 4.8 .. 11.5
 4.8 .. 11.6
 4.8 .. 12.5
 4.8 ..
 4.9 .. >1.2e1
 4.9 ..
 5 .. 11.5
 5 .. 1.2e1
 5 .. 3.0e1
 5.0 .. 11.4
 5.0 .. 11.5
 5.0 .. 11.6
 5.0 .. 11.7
 5.0 .. 12.0
 5.0 .. >12.0
 5.0 .. >1.2e1
 5.2 .. 11.5
 5.2 .. >1.2e1
 5.25 .. >1.2e1
 5.3 .. 11.5
 5.3 .. 1.3e1
 5.3 .. >9.0e1
 5.3 ..
 5.4 ..
 5.5 .. 11.5
 5.5 .. 11.7
 5.5 .. 1.2e1
 5.5 .. >1.2e1
 5.5 .. 12.5
 5.5 .. 13.5
 5.5 ..
 >5.5 ..
 5.7 ..
 5.9 ..
 6 .. 11.5
 6 .. >1.2e1
 6.0 .. 11.5
 6.0 .. 1.3e1
 >6.0 .. <11.5
 6.1 .. >1.2e1
 6.1 ..
 6.2 .. >11.5
 6.3 ..
 6.5 .. 11.5
 6.5 .. 12.0
 6.5 .. >12.0
 6.5 ..
 6.6 ..
 6.7 .. 11.5
 6.7 ..
 6.75 ..
 6.8 ..
 6.9 .. 12.2
 6.9 .. >9.0e1
 6.9 ..
 <7.0 .. >11.5
 7.0 .. 11.5
 7.0 .. >11.5
 7.0 ..
 >7.15 ..
 7.2 .. 13.5
 7.3 .. >9.0e1
 7.3 ..
 >7.3 ..
 7.4 .. 12.1
 7.4 ..
 7.5 .. 11.5
 7.5 .. 12.0
 7.5 ..
 7.7 .. 11.5
 7.7 ..
 7.75 ..
 8.0 .. 11.7
 8.0 .. 12.0
 8.0 .. >13.0
 8.2 ..
 8.3 ..
 8.5 .. >11.5
 8.5 .. 12.5
 8.5 ..
 8.6 .. >9.9e1
 8.7 .. 11.3
 8.7 .. 11.7
 8.9 .. 11.5
 9 .. >1.2e1
 9.0 .. 11.3
 9.0 .. 11.5
 9.0 .. 1.2e1
 9.0 ..
 9.2 .. 1.2e1
 9.4 .. 12.2
 <9.5 .. 1.2e1
 <9.5 .. >12.2
 9.5 ..
 9.6 .. 11.5
 9.7 .. 11.5
 9.7 .. >1.2e1
 9.8 .. >12.5
 <1.0e1 .. >11.6
 10.0 .. 11.5
 10.0 .. 12.5
 10.0 .. >12.5
 10.2 .. 11.8
 <10.5 .. 11.5
 10.5 .. 11.5
 10.5 .. <13.5
 10.7 .. 12.3
(143 rows)