--
--  Test seg datatype
--
CREATE EXTENSION seg;
-- 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
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+07
(1 row)

SELECT '-1e7'::seg AS seg;
  seg   
--------
 -1e+07
(1 row)

SELECT '1.0e7'::seg AS seg;
   seg   
---------
 1.0e+07
(1 row)

SELECT '-1.0e7'::seg AS seg;
   seg    
----------
 -1.0e+07
(1 row)

SELECT '1e+7'::seg AS seg;
  seg  
-------
 1e+07
(1 row)

SELECT '-1e+7'::seg AS seg;
  seg   
--------
 -1e+07
(1 row)

SELECT '1.0e+7'::seg AS seg;
   seg   
---------
 1.0e+07
(1 row)

SELECT '-1.0e+7'::seg AS seg;
   seg    
----------
 -1.0e+07
(1 row)

SELECT '1e-7'::seg AS seg;
  seg  
-------
 1e-07
(1 row)

SELECT '-1e-7'::seg AS seg;
  seg   
--------
 -1e-07
(1 row)

SELECT '1.0e-7'::seg AS seg;
   seg   
---------
 1.0e-07
(1 row)

SELECT '-1.0e-7'::seg AS seg;
   seg    
----------
 -1.0e-07
(1 row)

SELECT '2e-6'::seg AS seg;
  seg  
-------
 2e-06
(1 row)

SELECT '2e-5'::seg AS seg;
  seg  
-------
 2e-05
(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+05
(1 row)

SELECT '2e+6'::seg AS seg;
  seg  
-------
 2e+06
(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-07
(1 row)

SELECT '3.400e5'::seg AS seg;
    seg    
-----------
 3.400e+05
(1 row)

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

-- Same, with a very long input
SELECT '12.3456789012345600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000'::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
LINE 1: SELECT ''::seg AS seg;
               ^
DETAIL:  syntax error at end of input
SELECT 'ABC'::seg AS seg;
ERROR:  bad seg representation
LINE 1: SELECT 'ABC'::seg AS seg;
               ^
DETAIL:  syntax error at or near "A"
SELECT '1ABC'::seg AS seg;
ERROR:  bad seg representation
LINE 1: SELECT '1ABC'::seg AS seg;
               ^
DETAIL:  syntax error at or near "A"
SELECT '1.'::seg AS seg;
ERROR:  bad seg representation
LINE 1: SELECT '1.'::seg AS seg;
               ^
DETAIL:  syntax error at or near "."
SELECT '1.....'::seg AS seg;
ERROR:  bad seg representation
LINE 1: SELECT '1.....'::seg AS seg;
               ^
DETAIL:  syntax error at or near ".."
SELECT '.1'::seg AS seg;
ERROR:  bad seg representation
LINE 1: SELECT '.1'::seg AS seg;
               ^
DETAIL:  syntax error at or near "."
SELECT '1..2.'::seg AS seg;
ERROR:  bad seg representation
LINE 1: SELECT '1..2.'::seg AS seg;
               ^
DETAIL:  syntax error at or near "."
SELECT '1 e7'::seg AS seg;
ERROR:  bad seg representation
LINE 1: SELECT '1 e7'::seg AS seg;
               ^
DETAIL:  syntax error at or near "e"
SELECT '1e700'::seg AS seg;
ERROR:  "1e700" is out of range for type real
LINE 1: SELECT '1e700'::seg AS seg;
               ^
--
-- 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 
------
 t
(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 
------
 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 
------
 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 
------
 t
(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 
------
 t
(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 
------
 t
(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 
------
 t
(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);
SET enable_indexscan = false;
EXPLAIN (COSTS OFF)
SELECT count(*) FROM test_seg WHERE s @> '11..11.3';
                      QUERY PLAN                       
-------------------------------------------------------
 Aggregate
   ->  Bitmap Heap Scan on test_seg
         Recheck Cond: (s @> '1.1e1 .. 11.3'::seg)
         ->  Bitmap Index Scan on test_seg_ix
               Index Cond: (s @> '1.1e1 .. 11.3'::seg)
(5 rows)

SELECT count(*) FROM test_seg WHERE s @> '11..11.3';
 count 
-------
   143
(1 row)

RESET enable_indexscan;
SET enable_bitmapscan = false;
EXPLAIN (COSTS OFF)
SELECT count(*) FROM test_seg WHERE s @> '11..11.3';
                     QUERY PLAN                      
-----------------------------------------------------
 Aggregate
   ->  Index Only Scan using test_seg_ix on test_seg
         Index Cond: (s @> '1.1e1 .. 11.3'::seg)
(3 rows)

SELECT count(*) FROM test_seg WHERE s @> '11..11.3';
 count 
-------
   143
(1 row)

RESET enable_bitmapscan;
-- 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)

-- Test functions
SELECT seg_lower(s), seg_center(s), seg_upper(s)
FROM test_seg WHERE s @> '11.2..11.3' OR s IS NULL ORDER BY s;
 seg_lower | seg_center | seg_upper 
-----------+------------+-----------
 -Infinity |  -Infinity |        40
 -Infinity |  -Infinity |        82
 -Infinity |  -Infinity |        90
         1 |          7 |        13
       1.3 |       6.65 |        12
         2 |       6.75 |      11.5
       2.1 |       6.95 |      11.8
       2.3 |   Infinity |  Infinity
       2.3 |   Infinity |  Infinity
       2.4 |  6.8500004 |      11.3
       2.5 |          7 |      11.5
       2.5 |       7.15 |      11.8
       2.6 |   Infinity |  Infinity
       2.7 |       7.35 |        12
         3 |   Infinity |  Infinity
         3 |       30.5 |        58
       3.1 |        7.3 |      11.5
       3.5 |        7.5 |      11.5
       3.5 |       7.85 |      12.2
         4 |          8 |        12
         4 |   Infinity |  Infinity
         4 |          8 |        12
         4 |       7.85 |      11.7
         4 |       8.25 |      12.5
         4 |        8.5 |        13
         4 |         32 |        60
         4 |   Infinity |  Infinity
       4.2 |       7.85 |      11.5
       4.2 |       7.95 |      11.7
       4.5 |       8.25 |        12
       4.5 |          8 |      11.5
       4.5 |       8.25 |        12
       4.5 |       8.25 |        12
       4.5 |        8.5 |      12.5
       4.5 |      59.75 |       115
       4.7 |       8.25 |      11.8
       4.8 |       8.15 |      11.5
       4.8 |   8.200001 |      11.6
       4.8 |       8.65 |      12.5
       4.8 |   Infinity |  Infinity
       4.9 |       8.45 |        12
       4.9 |   Infinity |  Infinity
         5 |       8.25 |      11.5
         5 |        8.5 |        12
         5 |       17.5 |        30
         5 |        8.2 |      11.4
         5 |       8.25 |      11.5
         5 |        8.3 |      11.6
         5 |       8.35 |      11.7
         5 |        8.5 |        12
         5 |        8.5 |        12
         5 |        8.5 |        12
       5.2 |       8.35 |      11.5
       5.2 |        8.6 |        12
      5.25 |      8.625 |        12
       5.3 |        8.4 |      11.5
       5.3 |       9.15 |        13
       5.3 |      47.65 |        90
       5.3 |   Infinity |  Infinity
       5.4 |   Infinity |  Infinity
       5.5 |        8.5 |      11.5
       5.5 |        8.6 |      11.7
       5.5 |       8.75 |        12
       5.5 |       8.75 |        12
       5.5 |          9 |      12.5
       5.5 |        9.5 |      13.5
       5.5 |   Infinity |  Infinity
       5.5 |   Infinity |  Infinity
       5.7 |   Infinity |  Infinity
       5.9 |   Infinity |  Infinity
         6 |       8.75 |      11.5
         6 |          9 |        12
         6 |       8.75 |      11.5
         6 |        9.5 |        13
         6 |       8.75 |      11.5
       6.1 |       9.05 |        12
       6.1 |   Infinity |  Infinity
       6.2 |       8.85 |      11.5
       6.3 |   Infinity |  Infinity
       6.5 |          9 |      11.5
       6.5 |       9.25 |        12
       6.5 |       9.25 |        12
       6.5 |   Infinity |  Infinity
       6.6 |   Infinity |  Infinity
       6.7 |        9.1 |      11.5
       6.7 |   Infinity |  Infinity
      6.75 |   Infinity |  Infinity
       6.8 |   Infinity |  Infinity
       6.9 |       9.55 |      12.2
       6.9 |      48.45 |        90
       6.9 |   Infinity |  Infinity
         7 |       9.25 |      11.5
         7 |       9.25 |      11.5
         7 |       9.25 |      11.5
         7 |   Infinity |  Infinity
      7.15 |   Infinity |  Infinity
       7.2 |      10.35 |      13.5
       7.3 |      48.65 |        90
       7.3 |   Infinity |  Infinity
       7.3 |   Infinity |  Infinity
       7.4 |       9.75 |      12.1
       7.4 |   Infinity |  Infinity
       7.5 |        9.5 |      11.5
       7.5 |       9.75 |        12
       7.5 |   Infinity |  Infinity
       7.7 |        9.6 |      11.5
       7.7 |   Infinity |  Infinity
      7.75 |   Infinity |  Infinity
         8 |       9.85 |      11.7
         8 |         10 |        12
         8 |       10.5 |        13
       8.2 |   Infinity |  Infinity
       8.3 |   Infinity |  Infinity
       8.5 |         10 |      11.5
       8.5 |       10.5 |      12.5
       8.5 |   Infinity |  Infinity
       8.6 |       53.8 |        99
       8.7 |         10 |      11.3
       8.7 |       10.2 |      11.7
       8.9 |       10.2 |      11.5
         9 |       10.5 |        12
         9 |      10.15 |      11.3
         9 |      10.25 |      11.5
         9 |       10.5 |        12
         9 |   Infinity |  Infinity
       9.2 |       10.6 |        12
       9.4 |  10.799999 |      12.2
       9.5 |      10.75 |        12
       9.5 |      10.85 |      12.2
       9.5 |   Infinity |  Infinity
       9.6 |      10.55 |      11.5
       9.7 |       10.6 |      11.5
       9.7 |      10.85 |        12
       9.8 |      11.15 |      12.5
        10 |       10.8 |      11.6
        10 |      10.75 |      11.5
        10 |      11.25 |      12.5
        10 |      11.25 |      12.5
      10.2 |         11 |      11.8
      10.5 |         11 |      11.5
      10.5 |         11 |      11.5
      10.5 |         12 |      13.5
      10.7 |       11.5 |      12.3
           |            |          
(144 rows)