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postgresql/src/test/regress/expected/float8-small-is-zero_1.out

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--
-- FLOAT8
--
CREATE TABLE FLOAT8_TBL(f1 float8);
INSERT INTO FLOAT8_TBL(f1) VALUES (' 0.0 ');
INSERT INTO FLOAT8_TBL(f1) VALUES ('1004.30 ');
INSERT INTO FLOAT8_TBL(f1) VALUES (' -34.84');
INSERT INTO FLOAT8_TBL(f1) VALUES ('1.2345678901234e+200');
INSERT INTO FLOAT8_TBL(f1) VALUES ('1.2345678901234e-200');
-- test for underflow and overflow handling
SELECT '10e400'::float8;
ERROR: "10e400" is out of range for type double precision
LINE 1: SELECT '10e400'::float8;
^
SELECT '-10e400'::float8;
ERROR: "-10e400" is out of range for type double precision
LINE 1: SELECT '-10e400'::float8;
^
SELECT '10e-400'::float8;
float8
--------
0
(1 row)
SELECT '-10e-400'::float8;
float8
--------
0
(1 row)
-- bad input
INSERT INTO FLOAT8_TBL(f1) VALUES ('');
ERROR: invalid input syntax for type double precision: ""
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('');
^
INSERT INTO FLOAT8_TBL(f1) VALUES (' ');
ERROR: invalid input syntax for type double precision: " "
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES (' ');
^
INSERT INTO FLOAT8_TBL(f1) VALUES ('xyz');
ERROR: invalid input syntax for type double precision: "xyz"
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('xyz');
^
INSERT INTO FLOAT8_TBL(f1) VALUES ('5.0.0');
ERROR: invalid input syntax for type double precision: "5.0.0"
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('5.0.0');
^
INSERT INTO FLOAT8_TBL(f1) VALUES ('5 . 0');
ERROR: invalid input syntax for type double precision: "5 . 0"
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('5 . 0');
^
INSERT INTO FLOAT8_TBL(f1) VALUES ('5. 0');
ERROR: invalid input syntax for type double precision: "5. 0"
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('5. 0');
^
INSERT INTO FLOAT8_TBL(f1) VALUES (' - 3');
ERROR: invalid input syntax for type double precision: " - 3"
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES (' - 3');
^
INSERT INTO FLOAT8_TBL(f1) VALUES ('123 5');
ERROR: invalid input syntax for type double precision: "123 5"
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('123 5');
^
-- special inputs
SELECT 'NaN'::float8;
float8
--------
NaN
(1 row)
SELECT 'nan'::float8;
float8
--------
NaN
(1 row)
SELECT ' NAN '::float8;
float8
--------
NaN
(1 row)
SELECT 'infinity'::float8;
float8
----------
Infinity
(1 row)
SELECT ' -INFINiTY '::float8;
float8
-----------
-Infinity
(1 row)
-- bad special inputs
SELECT 'N A N'::float8;
ERROR: invalid input syntax for type double precision: "N A N"
LINE 1: SELECT 'N A N'::float8;
^
SELECT 'NaN x'::float8;
ERROR: invalid input syntax for type double precision: "NaN x"
LINE 1: SELECT 'NaN x'::float8;
^
SELECT ' INFINITY x'::float8;
ERROR: invalid input syntax for type double precision: " INFINITY x"
LINE 1: SELECT ' INFINITY x'::float8;
^
SELECT 'Infinity'::float8 + 100.0;
?column?
----------
Infinity
(1 row)
SELECT 'Infinity'::float8 / 'Infinity'::float8;
?column?
----------
NaN
(1 row)
SELECT 'nan'::float8 / 'nan'::float8;
?column?
----------
NaN
(1 row)
SELECT 'nan'::numeric::float8;
float8
--------
NaN
(1 row)
SELECT '' AS five, * FROM FLOAT8_TBL;
five | f1
------+----------------------
| 0
| 1004.3
| -34.84
| 1.2345678901234e+200
| 1.2345678901234e-200
(5 rows)
SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE f.f1 <> '1004.3';
four | f1
------+----------------------
| 0
| -34.84
| 1.2345678901234e+200
| 1.2345678901234e-200
(4 rows)
SELECT '' AS one, f.* FROM FLOAT8_TBL f WHERE f.f1 = '1004.3';
one | f1
-----+--------
| 1004.3
(1 row)
SELECT '' AS three, f.* FROM FLOAT8_TBL f WHERE '1004.3' > f.f1;
three | f1
-------+----------------------
| 0
| -34.84
| 1.2345678901234e-200
(3 rows)
SELECT '' AS three, f.* FROM FLOAT8_TBL f WHERE f.f1 < '1004.3';
three | f1
-------+----------------------
| 0
| -34.84
| 1.2345678901234e-200
(3 rows)
SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE '1004.3' >= f.f1;
four | f1
------+----------------------
| 0
| 1004.3
| -34.84
| 1.2345678901234e-200
(4 rows)
SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE f.f1 <= '1004.3';
four | f1
------+----------------------
| 0
| 1004.3
| -34.84
| 1.2345678901234e-200
(4 rows)
SELECT '' AS three, f.f1, f.f1 * '-10' AS x
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
three | f1 | x
-------+----------------------+-----------------------
| 1004.3 | -10043
| 1.2345678901234e+200 | -1.2345678901234e+201
| 1.2345678901234e-200 | -1.2345678901234e-199
(3 rows)
SELECT '' AS three, f.f1, f.f1 + '-10' AS x
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
three | f1 | x
-------+----------------------+----------------------
| 1004.3 | 994.3
| 1.2345678901234e+200 | 1.2345678901234e+200
| 1.2345678901234e-200 | -10
(3 rows)
SELECT '' AS three, f.f1, f.f1 / '-10' AS x
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
three | f1 | x
-------+----------------------+-----------------------
| 1004.3 | -100.43
| 1.2345678901234e+200 | -1.2345678901234e+199
| 1.2345678901234e-200 | -1.2345678901234e-201
(3 rows)
SELECT '' AS three, f.f1, f.f1 - '-10' AS x
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
three | f1 | x
-------+----------------------+----------------------
| 1004.3 | 1014.3
| 1.2345678901234e+200 | 1.2345678901234e+200
| 1.2345678901234e-200 | 10
(3 rows)
SELECT '' AS one, f.f1 ^ '2.0' AS square_f1
FROM FLOAT8_TBL f where f.f1 = '1004.3';
one | square_f1
-----+------------
| 1008618.49
(1 row)
-- absolute value
SELECT '' AS five, f.f1, @f.f1 AS abs_f1
FROM FLOAT8_TBL f;
five | f1 | abs_f1
------+----------------------+----------------------
| 0 | 0
| 1004.3 | 1004.3
| -34.84 | 34.84
| 1.2345678901234e+200 | 1.2345678901234e+200
| 1.2345678901234e-200 | 1.2345678901234e-200
(5 rows)
-- truncate
SELECT '' AS five, f.f1, trunc(f.f1) AS trunc_f1
FROM FLOAT8_TBL f;
five | f1 | trunc_f1
------+----------------------+----------------------
| 0 | 0
| 1004.3 | 1004
| -34.84 | -34
| 1.2345678901234e+200 | 1.2345678901234e+200
| 1.2345678901234e-200 | 0
(5 rows)
-- round
SELECT '' AS five, f.f1, round(f.f1) AS round_f1
FROM FLOAT8_TBL f;
five | f1 | round_f1
------+----------------------+----------------------
| 0 | 0
| 1004.3 | 1004
| -34.84 | -35
| 1.2345678901234e+200 | 1.2345678901234e+200
| 1.2345678901234e-200 | 0
(5 rows)
-- ceil / ceiling
select ceil(f1) as ceil_f1 from float8_tbl f;
ceil_f1
----------------------
0
1005
-34
1.2345678901234e+200
1
(5 rows)
select ceiling(f1) as ceiling_f1 from float8_tbl f;
ceiling_f1
----------------------
0
1005
-34
1.2345678901234e+200
1
(5 rows)
-- floor
select floor(f1) as floor_f1 from float8_tbl f;
floor_f1
----------------------
0
1004
-35
1.2345678901234e+200
0
(5 rows)
-- sign
select sign(f1) as sign_f1 from float8_tbl f;
sign_f1
---------
0
1
-1
1
1
(5 rows)
-- square root
SELECT sqrt(float8 '64') AS eight;
eight
-------
8
(1 row)
SELECT |/ float8 '64' AS eight;
eight
-------
8
(1 row)
SELECT '' AS three, f.f1, |/f.f1 AS sqrt_f1
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
three | f1 | sqrt_f1
-------+----------------------+-----------------------
| 1004.3 | 31.6906926399535
| 1.2345678901234e+200 | 1.11111110611109e+100
| 1.2345678901234e-200 | 1.11111110611109e-100
(3 rows)
-- power
SELECT power(float8 '144', float8 '0.5');
power
-------
12
(1 row)
-- take exp of ln(f.f1)
SELECT '' AS three, f.f1, exp(ln(f.f1)) AS exp_ln_f1
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
three | f1 | exp_ln_f1
-------+----------------------+-----------------------
| 1004.3 | 1004.3
| 1.2345678901234e+200 | 1.23456789012338e+200
| 1.2345678901234e-200 | 1.23456789012339e-200
(3 rows)
-- cube root
SELECT ||/ float8 '27' AS three;
three
-------
3
(1 row)
SELECT '' AS five, f.f1, ||/f.f1 AS cbrt_f1 FROM FLOAT8_TBL f;
five | f1 | cbrt_f1
------+----------------------+----------------------
| 0 | 0
| 1004.3 | 10.014312837827
| -34.84 | -3.26607421344208
| 1.2345678901234e+200 | 4.97933859234765e+66
| 1.2345678901234e-200 | 2.3112042409018e-67
(5 rows)
SELECT '' AS five, * FROM FLOAT8_TBL;
five | f1
------+----------------------
| 0
| 1004.3
| -34.84
| 1.2345678901234e+200
| 1.2345678901234e-200
(5 rows)
UPDATE FLOAT8_TBL
SET f1 = FLOAT8_TBL.f1 * '-1'
WHERE FLOAT8_TBL.f1 > '0.0';
SELECT '' AS bad, f.f1 * '1e200' from FLOAT8_TBL f;
ERROR: value out of range: overflow
SELECT '' AS bad, f.f1 ^ '1e200' from FLOAT8_TBL f;
ERROR: value out of range: overflow
SELECT 0 ^ 0 + 0 ^ 1 + 0 ^ 0.0 + 0 ^ 0.5;
?column?
----------
2
(1 row)
SELECT '' AS bad, ln(f.f1) from FLOAT8_TBL f where f.f1 = '0.0' ;
ERROR: cannot take logarithm of zero
SELECT '' AS bad, ln(f.f1) from FLOAT8_TBL f where f.f1 < '0.0' ;
ERROR: cannot take logarithm of a negative number
SELECT '' AS bad, exp(f.f1) from FLOAT8_TBL f;
ERROR: value out of range: underflow
SELECT '' AS bad, f.f1 / '0.0' from FLOAT8_TBL f;
ERROR: division by zero
SELECT '' AS five, * FROM FLOAT8_TBL;
five | f1
------+-----------------------
| 0
| -34.84
| -1004.3
| -1.2345678901234e+200
| -1.2345678901234e-200
(5 rows)
-- test for over- and underflow
INSERT INTO FLOAT8_TBL(f1) VALUES ('10e400');
ERROR: "10e400" is out of range for type double precision
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('10e400');
^
INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e400');
ERROR: "-10e400" is out of range for type double precision
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e400');
^
INSERT INTO FLOAT8_TBL(f1) VALUES ('10e-400');
INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e-400');
-- maintain external table consistency across platforms
-- delete all values and reinsert well-behaved ones
DELETE FROM FLOAT8_TBL;
INSERT INTO FLOAT8_TBL(f1) VALUES ('0.0');
INSERT INTO FLOAT8_TBL(f1) VALUES ('-34.84');
INSERT INTO FLOAT8_TBL(f1) VALUES ('-1004.30');
INSERT INTO FLOAT8_TBL(f1) VALUES ('-1.2345678901234e+200');
INSERT INTO FLOAT8_TBL(f1) VALUES ('-1.2345678901234e-200');
SELECT '' AS five, * FROM FLOAT8_TBL;
five | f1
------+-----------------------
| 0
| -34.84
| -1004.3
| -1.2345678901234e+200
| -1.2345678901234e-200
(5 rows)
-- test exact cases for trigonometric functions in degrees
SELECT x,
CASE WHEN sind(x) IN (-1,-0.5,0,0.5,1) THEN sind(x) END AS sind,
CASE WHEN cosd(x) IN (-1,-0.5,0,0.5,1) THEN cosd(x) END AS cosd,
CASE WHEN tand(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN tand(x) END AS tand,
CASE WHEN cotd(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN cotd(x) END AS cotd
FROM generate_series(0, 360, 15) AS t(x);
x | sind | cosd | tand | cotd
-----+------+------+-----------+-----------
0 | 0 | 1 | 0 | Infinity
15 | | | |
30 | 0.5 | | |
45 | | | 1 | 1
60 | | 0.5 | |
75 | | | |
90 | 1 | 0 | Infinity | 0
105 | | | |
120 | | -0.5 | |
135 | | | -1 | -1
150 | 0.5 | | |
165 | | | |
180 | 0 | -1 | 0 | -Infinity
195 | | | |
210 | -0.5 | | |
225 | | | 1 | 1
240 | | -0.5 | |
255 | | | |
270 | -1 | 0 | -Infinity | 0
285 | | | |
300 | | 0.5 | |
315 | | | -1 | -1
330 | -0.5 | | |
345 | | | |
360 | 0 | 1 | 0 | Infinity
(25 rows)
SELECT x,
CASE WHEN asind(x) IN (-90,-30,0,30,90) THEN asind(x) END AS asind,
CASE WHEN acosd(x) IN (0,60,90,120,180) THEN acosd(x) END AS acosd,
CASE WHEN atand(x) IN (-45,0,45) THEN atand(x) END AS atand
FROM (VALUES (-1), (-0.5), (0), (0.5), (1)) AS t(x);
x | asind | acosd | atand
------+-------+-------+-------
-1 | -90 | 180 | -45
-0.5 | -30 | 120 |
0 | 0 | 90 | 0
0.5 | 30 | 60 |
1 | 90 | 0 | 45
(5 rows)
SELECT atand('-Infinity'::float8) = -90;
?column?
----------
t
(1 row)
SELECT atand('Infinity'::float8) = 90;
?column?
----------
t
(1 row)
SELECT x, y,
CASE WHEN atan2d(y, x) IN (-90,0,90,180) THEN atan2d(y, x) END AS atan2d
FROM (SELECT 10*cosd(a), 10*sind(a)
FROM generate_series(0, 360, 90) AS t(a)) AS t(x,y);
x | y | atan2d
-----+-----+--------
10 | 0 | 0
0 | 10 | 90
-10 | 0 | 180
0 | -10 | -90
10 | 0 | 0
(5 rows)
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