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--
-- INT4
--
CREATE TABLE INT4_TBL(f1 int4);
INSERT INTO INT4_TBL(f1) VALUES ('   0  ');
INSERT INTO INT4_TBL(f1) VALUES ('123456     ');
INSERT INTO INT4_TBL(f1) VALUES ('    -123456');
INSERT INTO INT4_TBL(f1) VALUES ('34.5');
ERROR:  invalid input syntax for type integer: "34.5"
LINE 1: INSERT INTO INT4_TBL(f1) VALUES ('34.5');
                                         ^
-- largest and smallest values
INSERT INTO INT4_TBL(f1) VALUES ('2147483647');
INSERT INTO INT4_TBL(f1) VALUES ('-2147483647');
-- bad input values -- should give errors
INSERT INTO INT4_TBL(f1) VALUES ('1000000000000');
ERROR:  value "1000000000000" is out of range for type integer
LINE 1: INSERT INTO INT4_TBL(f1) VALUES ('1000000000000');
                                         ^
INSERT INTO INT4_TBL(f1) VALUES ('asdf');
ERROR:  invalid input syntax for type integer: "asdf"
LINE 1: INSERT INTO INT4_TBL(f1) VALUES ('asdf');
                                         ^
INSERT INTO INT4_TBL(f1) VALUES ('     ');
ERROR:  invalid input syntax for type integer: "     "
LINE 1: INSERT INTO INT4_TBL(f1) VALUES ('     ');
                                         ^
INSERT INTO INT4_TBL(f1) VALUES ('   asdf   ');
ERROR:  invalid input syntax for type integer: "   asdf   "
LINE 1: INSERT INTO INT4_TBL(f1) VALUES ('   asdf   ');
                                         ^
INSERT INTO INT4_TBL(f1) VALUES ('- 1234');
ERROR:  invalid input syntax for type integer: "- 1234"
LINE 1: INSERT INTO INT4_TBL(f1) VALUES ('- 1234');
                                         ^
INSERT INTO INT4_TBL(f1) VALUES ('123       5');
ERROR:  invalid input syntax for type integer: "123       5"
LINE 1: INSERT INTO INT4_TBL(f1) VALUES ('123       5');
                                         ^
INSERT INTO INT4_TBL(f1) VALUES ('');
ERROR:  invalid input syntax for type integer: ""
LINE 1: INSERT INTO INT4_TBL(f1) VALUES ('');
                                         ^
SELECT '' AS five, * FROM INT4_TBL;
 five |     f1      
------+-------------
      |           0
      |      123456
      |     -123456
      |  2147483647
      | -2147483647
(5 rows)

SELECT '' AS four, i.* FROM INT4_TBL i WHERE i.f1 <> int2 '0';
 four |     f1      
------+-------------
      |      123456
      |     -123456
      |  2147483647
      | -2147483647
(4 rows)

SELECT '' AS four, i.* FROM INT4_TBL i WHERE i.f1 <> int4 '0';
 four |     f1      
------+-------------
      |      123456
      |     -123456
      |  2147483647
      | -2147483647
(4 rows)

SELECT '' AS one, i.* FROM INT4_TBL i WHERE i.f1 = int2 '0';
 one | f1 
-----+----
     |  0
(1 row)

SELECT '' AS one, i.* FROM INT4_TBL i WHERE i.f1 = int4 '0';
 one | f1 
-----+----
     |  0
(1 row)

SELECT '' AS two, i.* FROM INT4_TBL i WHERE i.f1 < int2 '0';
 two |     f1      
-----+-------------
     |     -123456
     | -2147483647
(2 rows)

SELECT '' AS two, i.* FROM INT4_TBL i WHERE i.f1 < int4 '0';
 two |     f1      
-----+-------------
     |     -123456
     | -2147483647
(2 rows)

SELECT '' AS three, i.* FROM INT4_TBL i WHERE i.f1 <= int2 '0';
 three |     f1      
-------+-------------
       |           0
       |     -123456
       | -2147483647
(3 rows)

SELECT '' AS three, i.* FROM INT4_TBL i WHERE i.f1 <= int4 '0';
 three |     f1      
-------+-------------
       |           0
       |     -123456
       | -2147483647
(3 rows)

SELECT '' AS two, i.* FROM INT4_TBL i WHERE i.f1 > int2 '0';
 two |     f1     
-----+------------
     |     123456
     | 2147483647
(2 rows)

SELECT '' AS two, i.* FROM INT4_TBL i WHERE i.f1 > int4 '0';
 two |     f1     
-----+------------
     |     123456
     | 2147483647
(2 rows)

SELECT '' AS three, i.* FROM INT4_TBL i WHERE i.f1 >= int2 '0';
 three |     f1     
-------+------------
       |          0
       |     123456
       | 2147483647
(3 rows)

SELECT '' AS three, i.* FROM INT4_TBL i WHERE i.f1 >= int4 '0';
 three |     f1     
-------+------------
       |          0
       |     123456
       | 2147483647
(3 rows)

-- positive odds
SELECT '' AS one, i.* FROM INT4_TBL i WHERE (i.f1 % int2 '2') = int2 '1';
 one |     f1     
-----+------------
     | 2147483647
(1 row)

-- any evens
SELECT '' AS three, i.* FROM INT4_TBL i WHERE (i.f1 % int4 '2') = int2 '0';
 three |   f1    
-------+---------
       |       0
       |  123456
       | -123456
(3 rows)

SELECT '' AS five, i.f1, i.f1 * int2 '2' AS x FROM INT4_TBL i;
ERROR:  integer out of range
SELECT '' AS five, i.f1, i.f1 * int2 '2' AS x FROM INT4_TBL i
WHERE abs(f1) < 1073741824;
 five |   f1    |    x    
------+---------+---------
      |       0 |       0
      |  123456 |  246912
      | -123456 | -246912
(3 rows)

SELECT '' AS five, i.f1, i.f1 * int4 '2' AS x FROM INT4_TBL i;
ERROR:  integer out of range
SELECT '' AS five, i.f1, i.f1 * int4 '2' AS x FROM INT4_TBL i
WHERE abs(f1) < 1073741824;
 five |   f1    |    x    
------+---------+---------
      |       0 |       0
      |  123456 |  246912
      | -123456 | -246912
(3 rows)

SELECT '' AS five, i.f1, i.f1 + int2 '2' AS x FROM INT4_TBL i;
ERROR:  integer out of range
SELECT '' AS five, i.f1, i.f1 + int2 '2' AS x FROM INT4_TBL i
WHERE f1 < 2147483646;
 five |     f1      |      x      
------+-------------+-------------
      |           0 |           2
      |      123456 |      123458
      |     -123456 |     -123454
      | -2147483647 | -2147483645
(4 rows)

SELECT '' AS five, i.f1, i.f1 + int4 '2' AS x FROM INT4_TBL i;
ERROR:  integer out of range
SELECT '' AS five, i.f1, i.f1 + int4 '2' AS x FROM INT4_TBL i
WHERE f1 < 2147483646;
 five |     f1      |      x      
------+-------------+-------------
      |           0 |           2
      |      123456 |      123458
      |     -123456 |     -123454
      | -2147483647 | -2147483645
(4 rows)

SELECT '' AS five, i.f1, i.f1 - int2 '2' AS x FROM INT4_TBL i;
ERROR:  integer out of range
SELECT '' AS five, i.f1, i.f1 - int2 '2' AS x FROM INT4_TBL i
WHERE f1 > -2147483647;
 five |     f1     |     x      
------+------------+------------
      |          0 |         -2
      |     123456 |     123454
      |    -123456 |    -123458
      | 2147483647 | 2147483645
(4 rows)

SELECT '' AS five, i.f1, i.f1 - int4 '2' AS x FROM INT4_TBL i;
ERROR:  integer out of range
SELECT '' AS five, i.f1, i.f1 - int4 '2' AS x FROM INT4_TBL i
WHERE f1 > -2147483647;
 five |     f1     |     x      
------+------------+------------
      |          0 |         -2
      |     123456 |     123454
      |    -123456 |    -123458
      | 2147483647 | 2147483645
(4 rows)

SELECT '' AS five, i.f1, i.f1 / int2 '2' AS x FROM INT4_TBL i;
 five |     f1      |      x      
------+-------------+-------------
      |           0 |           0
      |      123456 |       61728
      |     -123456 |      -61728
      |  2147483647 |  1073741823
      | -2147483647 | -1073741823
(5 rows)

SELECT '' AS five, i.f1, i.f1 / int4 '2' AS x FROM INT4_TBL i;
 five |     f1      |      x      
------+-------------+-------------
      |           0 |           0
      |      123456 |       61728
      |     -123456 |      -61728
      |  2147483647 |  1073741823
      | -2147483647 | -1073741823
(5 rows)

--
-- more complex expressions
--
-- variations on unary minus parsing
SELECT -2+3 AS one;
 one 
-----
   1
(1 row)

SELECT 4-2 AS two;
 two 
-----
   2
(1 row)

SELECT 2- -1 AS three;
 three 
-------
     3
(1 row)

SELECT 2 - -2 AS four;
 four 
------
    4
(1 row)

SELECT int2 '2' * int2 '2' = int2 '16' / int2 '4' AS true;
 true 
------
 t
(1 row)

SELECT int4 '2' * int2 '2' = int2 '16' / int4 '4' AS true;
 true 
------
 t
(1 row)

SELECT int2 '2' * int4 '2' = int4 '16' / int2 '4' AS true;
 true 
------
 t
(1 row)

SELECT int4 '1000' < int4 '999' AS false;
 false 
-------
 f
(1 row)

SELECT 4! AS twenty_four;
 twenty_four 
-------------
          24
(1 row)

SELECT !!3 AS six;
 six 
-----
   6
(1 row)

SELECT 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 AS ten;
 ten 
-----
  10
(1 row)

SELECT 2 + 2 / 2 AS three;
 three 
-------
     3
(1 row)

SELECT (2 + 2) / 2 AS two;
 two 
-----
   2
(1 row)

-- corner case
SELECT (-1::int4<<31)::text;
    text     
-------------
 -2147483648
(1 row)

SELECT ((-1::int4<<31)+1)::text;
    text     
-------------
 -2147483647
(1 row)

-- check sane handling of INT_MIN overflow cases
SELECT (-2147483648)::int4 * (-1)::int4;
ERROR:  integer out of range
SELECT (-2147483648)::int4 / (-1)::int4;
ERROR:  integer out of range
SELECT (-2147483648)::int4 % (-1)::int4;
 ?column? 
----------
        0
(1 row)

SELECT (-2147483648)::int4 * (-1)::int2;
ERROR:  integer out of range
SELECT (-2147483648)::int4 / (-1)::int2;
ERROR:  integer out of range
SELECT (-2147483648)::int4 % (-1)::int2;
 ?column? 
----------
        0
(1 row)

-- check rounding when casting from float
SELECT x, x::int4 AS int4_value
FROM (VALUES (-2.5::float8),
             (-1.5::float8),
             (-0.5::float8),
             (0.0::float8),
             (0.5::float8),
             (1.5::float8),
             (2.5::float8)) t(x);
  x   | int4_value 
------+------------
 -2.5 |         -2
 -1.5 |         -2
 -0.5 |          0
    0 |          0
  0.5 |          0
  1.5 |          2
  2.5 |          2
(7 rows)

-- check rounding when casting from numeric
SELECT x, x::int4 AS int4_value
FROM (VALUES (-2.5::numeric),
             (-1.5::numeric),
             (-0.5::numeric),
             (0.0::numeric),
             (0.5::numeric),
             (1.5::numeric),
             (2.5::numeric)) t(x);
  x   | int4_value 
------+------------
 -2.5 |         -3
 -1.5 |         -2
 -0.5 |         -1
  0.0 |          0
  0.5 |          1
  1.5 |          2
  2.5 |          3
(7 rows)

-- test gcd()
SELECT a, b, gcd(a, b), gcd(a, -b), gcd(b, a), gcd(-b, a)
FROM (VALUES (0::int4, 0::int4),
             (0::int4, 6410818::int4),
             (61866666::int4, 6410818::int4),
             (-61866666::int4, 6410818::int4),
             ((-2147483648)::int4, 1::int4),
             ((-2147483648)::int4, 2147483647::int4),
             ((-2147483648)::int4, 1073741824::int4)) AS v(a, b);
      a      |     b      |    gcd     |    gcd     |    gcd     |    gcd     
-------------+------------+------------+------------+------------+------------
           0 |          0 |          0 |          0 |          0 |          0
           0 |    6410818 |    6410818 |    6410818 |    6410818 |    6410818
    61866666 |    6410818 |       1466 |       1466 |       1466 |       1466
   -61866666 |    6410818 |       1466 |       1466 |       1466 |       1466
 -2147483648 |          1 |          1 |          1 |          1 |          1
 -2147483648 | 2147483647 |          1 |          1 |          1 |          1
 -2147483648 | 1073741824 | 1073741824 | 1073741824 | 1073741824 | 1073741824
(7 rows)

SELECT gcd((-2147483648)::int4, 0::int4); -- overflow
ERROR:  integer out of range
SELECT gcd((-2147483648)::int4, (-2147483648)::int4); -- overflow
ERROR:  integer out of range
-- test lcm()
SELECT a, b, lcm(a, b), lcm(a, -b), lcm(b, a), lcm(-b, a)
FROM (VALUES (0::int4, 0::int4),
             (0::int4, 42::int4),
             (42::int4, 42::int4),
             (330::int4, 462::int4),
             (-330::int4, 462::int4),
             ((-2147483648)::int4, 0::int4)) AS v(a, b);
      a      |  b  | lcm  | lcm  | lcm  | lcm  
-------------+-----+------+------+------+------
           0 |   0 |    0 |    0 |    0 |    0
           0 |  42 |    0 |    0 |    0 |    0
          42 |  42 |   42 |   42 |   42 |   42
         330 | 462 | 2310 | 2310 | 2310 | 2310
        -330 | 462 | 2310 | 2310 | 2310 | 2310
 -2147483648 |   0 |    0 |    0 |    0 |    0
(6 rows)

SELECT lcm((-2147483648)::int4, 1::int4); -- overflow
ERROR:  integer out of range
SELECT lcm(2147483647::int4, 2147483646::int4); -- overflow
ERROR:  integer out of range