194 lines
5.2 KiB
SQL
194 lines
5.2 KiB
SQL
--
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-- FLOAT8
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--
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CREATE TABLE FLOAT8_TBL(f1 float8);
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INSERT INTO FLOAT8_TBL(f1) VALUES (' 0.0 ');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('1004.30 ');
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INSERT INTO FLOAT8_TBL(f1) VALUES (' -34.84');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('1.2345678901234e+200');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('1.2345678901234e-200');
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-- test for underflow and overflow handling
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SELECT '10e400'::float8;
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SELECT '-10e400'::float8;
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SELECT '10e-400'::float8;
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SELECT '-10e-400'::float8;
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-- bad input
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INSERT INTO FLOAT8_TBL(f1) VALUES ('');
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INSERT INTO FLOAT8_TBL(f1) VALUES (' ');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('xyz');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('5.0.0');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('5 . 0');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('5. 0');
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INSERT INTO FLOAT8_TBL(f1) VALUES (' - 3');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('123 5');
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-- special inputs
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SELECT 'NaN'::float8;
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SELECT 'nan'::float8;
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SELECT ' NAN '::float8;
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SELECT 'infinity'::float8;
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SELECT ' -INFINiTY '::float8;
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-- bad special inputs
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SELECT 'N A N'::float8;
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SELECT 'NaN x'::float8;
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SELECT ' INFINITY x'::float8;
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SELECT 'Infinity'::float8 + 100.0;
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SELECT 'Infinity'::float8 / 'Infinity'::float8;
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SELECT 'nan'::float8 / 'nan'::float8;
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SELECT 'nan'::numeric::float8;
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SELECT '' AS five, * FROM FLOAT8_TBL;
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SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE f.f1 <> '1004.3';
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SELECT '' AS one, f.* FROM FLOAT8_TBL f WHERE f.f1 = '1004.3';
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SELECT '' AS three, f.* FROM FLOAT8_TBL f WHERE '1004.3' > f.f1;
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SELECT '' AS three, f.* FROM FLOAT8_TBL f WHERE f.f1 < '1004.3';
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SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE '1004.3' >= f.f1;
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SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE f.f1 <= '1004.3';
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SELECT '' AS three, f.f1, f.f1 * '-10' AS x
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FROM FLOAT8_TBL f
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WHERE f.f1 > '0.0';
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SELECT '' AS three, f.f1, f.f1 + '-10' AS x
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FROM FLOAT8_TBL f
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WHERE f.f1 > '0.0';
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SELECT '' AS three, f.f1, f.f1 / '-10' AS x
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FROM FLOAT8_TBL f
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WHERE f.f1 > '0.0';
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SELECT '' AS three, f.f1, f.f1 - '-10' AS x
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FROM FLOAT8_TBL f
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WHERE f.f1 > '0.0';
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SELECT '' AS one, f.f1 ^ '2.0' AS square_f1
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FROM FLOAT8_TBL f where f.f1 = '1004.3';
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-- absolute value
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SELECT '' AS five, f.f1, @f.f1 AS abs_f1
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FROM FLOAT8_TBL f;
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-- truncate
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SELECT '' AS five, f.f1, trunc(f.f1) AS trunc_f1
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FROM FLOAT8_TBL f;
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-- round
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SELECT '' AS five, f.f1, round(f.f1) AS round_f1
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FROM FLOAT8_TBL f;
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-- ceil / ceiling
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select ceil(f1) as ceil_f1 from float8_tbl f;
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select ceiling(f1) as ceiling_f1 from float8_tbl f;
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-- floor
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select floor(f1) as floor_f1 from float8_tbl f;
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-- sign
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select sign(f1) as sign_f1 from float8_tbl f;
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-- square root
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SELECT sqrt(float8 '64') AS eight;
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SELECT |/ float8 '64' AS eight;
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SELECT '' AS three, f.f1, |/f.f1 AS sqrt_f1
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FROM FLOAT8_TBL f
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WHERE f.f1 > '0.0';
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-- power
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SELECT power(float8 '144', float8 '0.5');
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-- take exp of ln(f.f1)
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SELECT '' AS three, f.f1, exp(ln(f.f1)) AS exp_ln_f1
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FROM FLOAT8_TBL f
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WHERE f.f1 > '0.0';
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-- cube root
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SELECT ||/ float8 '27' AS three;
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SELECT '' AS five, f.f1, ||/f.f1 AS cbrt_f1 FROM FLOAT8_TBL f;
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SELECT '' AS five, * FROM FLOAT8_TBL;
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UPDATE FLOAT8_TBL
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SET f1 = FLOAT8_TBL.f1 * '-1'
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WHERE FLOAT8_TBL.f1 > '0.0';
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SELECT '' AS bad, f.f1 * '1e200' from FLOAT8_TBL f;
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SELECT '' AS bad, f.f1 ^ '1e200' from FLOAT8_TBL f;
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SELECT 0 ^ 0 + 0 ^ 1 + 0 ^ 0.0 + 0 ^ 0.5;
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SELECT '' AS bad, ln(f.f1) from FLOAT8_TBL f where f.f1 = '0.0' ;
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SELECT '' AS bad, ln(f.f1) from FLOAT8_TBL f where f.f1 < '0.0' ;
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SELECT '' AS bad, exp(f.f1) from FLOAT8_TBL f;
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SELECT '' AS bad, f.f1 / '0.0' from FLOAT8_TBL f;
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SELECT '' AS five, * FROM FLOAT8_TBL;
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-- test for over- and underflow
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INSERT INTO FLOAT8_TBL(f1) VALUES ('10e400');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e400');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('10e-400');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e-400');
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-- maintain external table consistency across platforms
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-- delete all values and reinsert well-behaved ones
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DELETE FROM FLOAT8_TBL;
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INSERT INTO FLOAT8_TBL(f1) VALUES ('0.0');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-34.84');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-1004.30');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-1.2345678901234e+200');
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-1.2345678901234e-200');
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SELECT '' AS five, * FROM FLOAT8_TBL;
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-- test exact cases for trigonometric functions in degrees
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SELECT x,
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CASE WHEN sind(x) IN (-1,-0.5,0,0.5,1) THEN sind(x) END AS sind,
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CASE WHEN cosd(x) IN (-1,-0.5,0,0.5,1) THEN cosd(x) END AS cosd,
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CASE WHEN tand(x) IN ('-Infinity'::float8,-1,0,
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1,'Infinity'::float8) THEN tand(x) END AS tand,
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CASE WHEN cotd(x) IN ('-Infinity'::float8,-1,0,
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1,'Infinity'::float8) THEN cotd(x) END AS cotd
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FROM generate_series(0, 360, 15) AS t(x);
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SELECT x,
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CASE WHEN asind(x) IN (-90,-30,0,30,90) THEN asind(x) END AS asind,
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CASE WHEN acosd(x) IN (0,60,90,120,180) THEN acosd(x) END AS acosd,
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CASE WHEN atand(x) IN (-45,0,45) THEN atand(x) END AS atand
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FROM (VALUES (-1), (-0.5), (0), (0.5), (1)) AS t(x);
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SELECT atand('-Infinity'::float8) = -90;
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SELECT atand('Infinity'::float8) = 90;
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SELECT x, y,
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CASE WHEN atan2d(y, x) IN (-90,0,90,180) THEN atan2d(y, x) END AS atan2d
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FROM (SELECT 10*cosd(a), 10*sind(a)
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FROM generate_series(0, 360, 90) AS t(a)) AS t(x,y);
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