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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;
SELECT '-10e400'::float8;
SELECT '10e-400'::float8;
SELECT '-10e-400'::float8;
-- bad input
INSERT INTO FLOAT8_TBL(f1) VALUES ('');
INSERT INTO FLOAT8_TBL(f1) VALUES (' ');
INSERT INTO FLOAT8_TBL(f1) VALUES ('xyz');
INSERT INTO FLOAT8_TBL(f1) VALUES ('5.0.0');
INSERT INTO FLOAT8_TBL(f1) VALUES ('5 . 0');
INSERT INTO FLOAT8_TBL(f1) VALUES ('5. 0');
INSERT INTO FLOAT8_TBL(f1) VALUES (' - 3');
INSERT INTO FLOAT8_TBL(f1) VALUES ('123 5');
-- special inputs
SELECT 'NaN'::float8;
SELECT 'nan'::float8;
SELECT ' NAN '::float8;
SELECT 'infinity'::float8;
SELECT ' -INFINiTY '::float8;
-- bad special inputs
SELECT 'N A N'::float8;
SELECT 'NaN x'::float8;
SELECT ' INFINITY x'::float8;
SELECT 'Infinity'::float8 + 100.0;
SELECT 'Infinity'::float8 / 'Infinity'::float8;
SELECT 'nan'::float8 / 'nan'::float8;
SELECT 'nan'::numeric::float8;
SELECT '' AS five, * FROM FLOAT8_TBL;
SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE f.f1 <> '1004.3';
SELECT '' AS one, f.* FROM FLOAT8_TBL f WHERE f.f1 = '1004.3';
SELECT '' AS three, f.* FROM FLOAT8_TBL f WHERE '1004.3' > f.f1;
SELECT '' AS three, f.* FROM FLOAT8_TBL f WHERE f.f1 < '1004.3';
SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE '1004.3' >= f.f1;
SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE f.f1 <= '1004.3';
SELECT '' AS three, f.f1, f.f1 * '-10' AS x
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
SELECT '' AS three, f.f1, f.f1 + '-10' AS x
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
SELECT '' AS three, f.f1, f.f1 / '-10' AS x
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
SELECT '' AS three, f.f1, f.f1 - '-10' AS x
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
SELECT '' AS one, f.f1 ^ '2.0' AS square_f1
FROM FLOAT8_TBL f where f.f1 = '1004.3';
-- absolute value
SELECT '' AS five, f.f1, @f.f1 AS abs_f1
FROM FLOAT8_TBL f;
-- truncate
SELECT '' AS five, f.f1, trunc(f.f1) AS trunc_f1
FROM FLOAT8_TBL f;
-- round
SELECT '' AS five, f.f1, round(f.f1) AS round_f1
FROM FLOAT8_TBL f;
-- ceil / ceiling
select ceil(f1) as ceil_f1 from float8_tbl f;
select ceiling(f1) as ceiling_f1 from float8_tbl f;
-- floor
select floor(f1) as floor_f1 from float8_tbl f;
-- sign
select sign(f1) as sign_f1 from float8_tbl f;
-- square root
SELECT sqrt(float8 '64') AS eight;
SELECT |/ float8 '64' AS eight;
SELECT '' AS three, f.f1, |/f.f1 AS sqrt_f1
FROM FLOAT8_TBL f
WHERE f.f1 > '0.0';
-- power
SELECT power(float8 '144', float8 '0.5');
-- 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';
-- cube root
SELECT ||/ float8 '27' AS three;
SELECT '' AS five, f.f1, ||/f.f1 AS cbrt_f1 FROM FLOAT8_TBL f;
SELECT '' AS five, * FROM FLOAT8_TBL;
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;
SELECT '' AS bad, f.f1 ^ '1e200' from FLOAT8_TBL f;
SELECT 0 ^ 0 + 0 ^ 1 + 0 ^ 0.0 + 0 ^ 0.5;
SELECT '' AS bad, ln(f.f1) from FLOAT8_TBL f where f.f1 = '0.0' ;
SELECT '' AS bad, ln(f.f1) from FLOAT8_TBL f where f.f1 < '0.0' ;
SELECT '' AS bad, exp(f.f1) from FLOAT8_TBL f;
SELECT '' AS bad, f.f1 / '0.0' from FLOAT8_TBL f;
SELECT '' AS five, * FROM FLOAT8_TBL;
-- test for over- and underflow
INSERT INTO FLOAT8_TBL(f1) VALUES ('10e400');
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;
-- test exact cases for trigonometric functions in degrees
SET extra_float_digits = 3;
SELECT x,
sind(x),
sind(x) IN (-1,-0.5,0,0.5,1) AS sind_exact
FROM (VALUES (0), (30), (90), (150), (180),
(210), (270), (330), (360)) AS t(x);
SELECT x,
cosd(x),
cosd(x) IN (-1,-0.5,0,0.5,1) AS cosd_exact
FROM (VALUES (0), (60), (90), (120), (180),
(240), (270), (300), (360)) AS t(x);
SELECT x,
tand(x),
tand(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) AS tand_exact,
cotd(x),
cotd(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) AS cotd_exact
FROM (VALUES (0), (45), (90), (135), (180),
(225), (270), (315), (360)) AS t(x);
SELECT x,
asind(x),
asind(x) IN (-90,-30,0,30,90) AS asind_exact,
acosd(x),
acosd(x) IN (0,60,90,120,180) AS acosd_exact
FROM (VALUES (-1), (-0.5), (0), (0.5), (1)) AS t(x);
SELECT x,
atand(x),
atand(x) IN (-90,-45,0,45,90) AS atand_exact
FROM (VALUES ('-Infinity'::float8), (-1), (0), (1),
('Infinity'::float8)) AS t(x);
SELECT x, y,
atan2d(y, x),
atan2d(y, x) IN (-90,0,90,180) AS atan2d_exact
FROM (SELECT 10*cosd(a), 10*sind(a)
FROM generate_series(0, 360, 90) AS t(a)) AS t(x,y);
RESET extra_float_digits;
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