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Diffstat (limited to '')
-rw-r--r-- | src/test/regress/sql/float8.sql | 466 |
1 files changed, 466 insertions, 0 deletions
diff --git a/src/test/regress/sql/float8.sql b/src/test/regress/sql/float8.sql new file mode 100644 index 0000000..e540f03 --- /dev/null +++ b/src/test/regress/sql/float8.sql @@ -0,0 +1,466 @@ +-- +-- 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; + +-- test smallest normalized input +SELECT float8send('2.2250738585072014E-308'::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; + +-- avoid bit-exact output here because operations may not be bit-exact. +SET extra_float_digits = 0; + +-- 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'); +SELECT power(float8 'NaN', float8 '0.5'); +SELECT power(float8 '144', float8 'NaN'); +SELECT power(float8 'NaN', float8 'NaN'); +SELECT power(float8 '-1', float8 'NaN'); +SELECT power(float8 '1', float8 'NaN'); +SELECT power(float8 'NaN', float8 '0'); + +-- 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; + +-- hyperbolic functions +-- we run these with extra_float_digits = 0 too, since different platforms +-- tend to produce results that vary in the last place. +SELECT sinh(float8 '1'); +SELECT cosh(float8 '1'); +SELECT tanh(float8 '1'); +SELECT asinh(float8 '1'); +SELECT acosh(float8 '2'); +SELECT atanh(float8 '0.5'); +-- test Inf/NaN cases for hyperbolic functions +SELECT sinh(float8 'infinity'); +SELECT sinh(float8 '-infinity'); +SELECT sinh(float8 'nan'); +SELECT cosh(float8 'infinity'); +SELECT cosh(float8 '-infinity'); +SELECT cosh(float8 'nan'); +SELECT tanh(float8 'infinity'); +SELECT tanh(float8 '-infinity'); +SELECT tanh(float8 'nan'); +SELECT asinh(float8 'infinity'); +SELECT asinh(float8 '-infinity'); +SELECT asinh(float8 'nan'); +-- acosh(Inf) should be Inf, but some mingw versions produce NaN, so skip test +-- SELECT acosh(float8 'infinity'); +SELECT acosh(float8 '-infinity'); +SELECT acosh(float8 'nan'); +SELECT atanh(float8 'infinity'); +SELECT atanh(float8 '-infinity'); +SELECT atanh(float8 'nan'); + +RESET extra_float_digits; + +-- 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 edge-case coercions to integer +SELECT '32767.4'::float8::int2; +SELECT '32767.6'::float8::int2; +SELECT '-32768.4'::float8::int2; +SELECT '-32768.6'::float8::int2; +SELECT '2147483647.4'::float8::int4; +SELECT '2147483647.6'::float8::int4; +SELECT '-2147483648.4'::float8::int4; +SELECT '-2147483648.6'::float8::int4; +SELECT '9223372036854773760'::float8::int8; +SELECT '9223372036854775807'::float8::int8; +SELECT '-9223372036854775808.5'::float8::int8; +SELECT '-9223372036854780000'::float8::int8; + +-- test exact cases for trigonometric functions in degrees + +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); + +-- +-- test output (and round-trip safety) of various values. +-- To ensure we're testing what we think we're testing, start with +-- float values specified by bit patterns (as a useful side effect, +-- this means we'll fail on non-IEEE platforms). + +create type xfloat8; +create function xfloat8in(cstring) returns xfloat8 immutable strict + language internal as 'int8in'; +create function xfloat8out(xfloat8) returns cstring immutable strict + language internal as 'int8out'; +create type xfloat8 (input = xfloat8in, output = xfloat8out, like = float8); +create cast (xfloat8 as float8) without function; +create cast (float8 as xfloat8) without function; +create cast (xfloat8 as bigint) without function; +create cast (bigint as xfloat8) without function; + +-- float8: seeeeeee eeeeeeee eeeeeeee mmmmmmmm mmmmmmmm(x4) + +-- we don't care to assume the platform's strtod() handles subnormals +-- correctly; those are "use at your own risk". However we do test +-- subnormal outputs, since those are under our control. + +with testdata(bits) as (values + -- small subnormals + (x'0000000000000001'), + (x'0000000000000002'), (x'0000000000000003'), + (x'0000000000001000'), (x'0000000100000000'), + (x'0000010000000000'), (x'0000010100000000'), + (x'0000400000000000'), (x'0000400100000000'), + (x'0000800000000000'), (x'0000800000000001'), + -- these values taken from upstream testsuite + (x'00000000000f4240'), + (x'00000000016e3600'), + (x'0000008cdcdea440'), + -- borderline between subnormal and normal + (x'000ffffffffffff0'), (x'000ffffffffffff1'), + (x'000ffffffffffffe'), (x'000fffffffffffff')) +select float8send(flt) as ibits, + flt + from (select bits::bigint::xfloat8::float8 as flt + from testdata + offset 0) s; + +-- round-trip tests + +with testdata(bits) as (values + (x'0000000000000000'), + -- smallest normal values + (x'0010000000000000'), (x'0010000000000001'), + (x'0010000000000002'), (x'0018000000000000'), + -- + (x'3ddb7cdfd9d7bdba'), (x'3ddb7cdfd9d7bdbb'), (x'3ddb7cdfd9d7bdbc'), + (x'3e112e0be826d694'), (x'3e112e0be826d695'), (x'3e112e0be826d696'), + (x'3e45798ee2308c39'), (x'3e45798ee2308c3a'), (x'3e45798ee2308c3b'), + (x'3e7ad7f29abcaf47'), (x'3e7ad7f29abcaf48'), (x'3e7ad7f29abcaf49'), + (x'3eb0c6f7a0b5ed8c'), (x'3eb0c6f7a0b5ed8d'), (x'3eb0c6f7a0b5ed8e'), + (x'3ee4f8b588e368ef'), (x'3ee4f8b588e368f0'), (x'3ee4f8b588e368f1'), + (x'3f1a36e2eb1c432c'), (x'3f1a36e2eb1c432d'), (x'3f1a36e2eb1c432e'), + (x'3f50624dd2f1a9fb'), (x'3f50624dd2f1a9fc'), (x'3f50624dd2f1a9fd'), + (x'3f847ae147ae147a'), (x'3f847ae147ae147b'), (x'3f847ae147ae147c'), + (x'3fb9999999999999'), (x'3fb999999999999a'), (x'3fb999999999999b'), + -- values very close to 1 + (x'3feffffffffffff0'), (x'3feffffffffffff1'), (x'3feffffffffffff2'), + (x'3feffffffffffff3'), (x'3feffffffffffff4'), (x'3feffffffffffff5'), + (x'3feffffffffffff6'), (x'3feffffffffffff7'), (x'3feffffffffffff8'), + (x'3feffffffffffff9'), (x'3feffffffffffffa'), (x'3feffffffffffffb'), + (x'3feffffffffffffc'), (x'3feffffffffffffd'), (x'3feffffffffffffe'), + (x'3fefffffffffffff'), + (x'3ff0000000000000'), + (x'3ff0000000000001'), (x'3ff0000000000002'), (x'3ff0000000000003'), + (x'3ff0000000000004'), (x'3ff0000000000005'), (x'3ff0000000000006'), + (x'3ff0000000000007'), (x'3ff0000000000008'), (x'3ff0000000000009'), + -- + (x'3ff921fb54442d18'), + (x'4005bf0a8b14576a'), + (x'400921fb54442d18'), + -- + (x'4023ffffffffffff'), (x'4024000000000000'), (x'4024000000000001'), + (x'4058ffffffffffff'), (x'4059000000000000'), (x'4059000000000001'), + (x'408f3fffffffffff'), (x'408f400000000000'), (x'408f400000000001'), + (x'40c387ffffffffff'), (x'40c3880000000000'), (x'40c3880000000001'), + (x'40f869ffffffffff'), (x'40f86a0000000000'), (x'40f86a0000000001'), + (x'412e847fffffffff'), (x'412e848000000000'), (x'412e848000000001'), + (x'416312cfffffffff'), (x'416312d000000000'), (x'416312d000000001'), + (x'4197d783ffffffff'), (x'4197d78400000000'), (x'4197d78400000001'), + (x'41cdcd64ffffffff'), (x'41cdcd6500000000'), (x'41cdcd6500000001'), + (x'4202a05f1fffffff'), (x'4202a05f20000000'), (x'4202a05f20000001'), + (x'42374876e7ffffff'), (x'42374876e8000000'), (x'42374876e8000001'), + (x'426d1a94a1ffffff'), (x'426d1a94a2000000'), (x'426d1a94a2000001'), + (x'42a2309ce53fffff'), (x'42a2309ce5400000'), (x'42a2309ce5400001'), + (x'42d6bcc41e8fffff'), (x'42d6bcc41e900000'), (x'42d6bcc41e900001'), + (x'430c6bf52633ffff'), (x'430c6bf526340000'), (x'430c6bf526340001'), + (x'4341c37937e07fff'), (x'4341c37937e08000'), (x'4341c37937e08001'), + (x'4376345785d89fff'), (x'4376345785d8a000'), (x'4376345785d8a001'), + (x'43abc16d674ec7ff'), (x'43abc16d674ec800'), (x'43abc16d674ec801'), + (x'43e158e460913cff'), (x'43e158e460913d00'), (x'43e158e460913d01'), + (x'4415af1d78b58c3f'), (x'4415af1d78b58c40'), (x'4415af1d78b58c41'), + (x'444b1ae4d6e2ef4f'), (x'444b1ae4d6e2ef50'), (x'444b1ae4d6e2ef51'), + (x'4480f0cf064dd591'), (x'4480f0cf064dd592'), (x'4480f0cf064dd593'), + (x'44b52d02c7e14af5'), (x'44b52d02c7e14af6'), (x'44b52d02c7e14af7'), + (x'44ea784379d99db3'), (x'44ea784379d99db4'), (x'44ea784379d99db5'), + (x'45208b2a2c280290'), (x'45208b2a2c280291'), (x'45208b2a2c280292'), + -- + (x'7feffffffffffffe'), (x'7fefffffffffffff'), + -- round to even tests (+ve) + (x'4350000000000002'), + (x'4350000000002e06'), + (x'4352000000000003'), + (x'4352000000000004'), + (x'4358000000000003'), + (x'4358000000000004'), + (x'435f000000000020'), + -- round to even tests (-ve) + (x'c350000000000002'), + (x'c350000000002e06'), + (x'c352000000000003'), + (x'c352000000000004'), + (x'c358000000000003'), + (x'c358000000000004'), + (x'c35f000000000020'), + -- exercise fixed-point memmoves + (x'42dc12218377de66'), + (x'42a674e79c5fe51f'), + (x'4271f71fb04cb74c'), + (x'423cbe991a145879'), + (x'4206fee0e1a9e061'), + (x'41d26580b487e6b4'), + (x'419d6f34540ca453'), + (x'41678c29dcd6e9dc'), + (x'4132d687e3df217d'), + (x'40fe240c9fcb68c8'), + (x'40c81cd6e63c53d3'), + (x'40934a4584fd0fdc'), + (x'405edd3c07fb4c93'), + (x'4028b0fcd32f7076'), + (x'3ff3c0ca428c59f8'), + -- these cases come from the upstream's testsuite + -- LotsOfTrailingZeros) + (x'3e60000000000000'), + -- Regression + (x'c352bd2668e077c4'), + (x'434018601510c000'), + (x'43d055dc36f24000'), + (x'43e052961c6f8000'), + (x'3ff3c0ca2a5b1d5d'), + -- LooksLikePow5 + (x'4830f0cf064dd592'), + (x'4840f0cf064dd592'), + (x'4850f0cf064dd592'), + -- OutputLength + (x'3ff3333333333333'), + (x'3ff3ae147ae147ae'), + (x'3ff3be76c8b43958'), + (x'3ff3c083126e978d'), + (x'3ff3c0c1fc8f3238'), + (x'3ff3c0c9539b8887'), + (x'3ff3c0ca2a5b1d5d'), + (x'3ff3c0ca4283de1b'), + (x'3ff3c0ca43db770a'), + (x'3ff3c0ca428abd53'), + (x'3ff3c0ca428c1d2b'), + (x'3ff3c0ca428c51f2'), + (x'3ff3c0ca428c58fc'), + (x'3ff3c0ca428c59dd'), + (x'3ff3c0ca428c59f8'), + (x'3ff3c0ca428c59fb'), + -- 32-bit chunking + (x'40112e0be8047a7d'), + (x'40112e0be815a889'), + (x'40112e0be826d695'), + (x'40112e0be83804a1'), + (x'40112e0be84932ad'), + -- MinMaxShift + (x'0040000000000000'), + (x'007fffffffffffff'), + (x'0290000000000000'), + (x'029fffffffffffff'), + (x'4350000000000000'), + (x'435fffffffffffff'), + (x'1330000000000000'), + (x'133fffffffffffff'), + (x'3a6fa7161a4d6e0c') +) +select float8send(flt) as ibits, + flt, + flt::text::float8 as r_flt, + float8send(flt::text::float8) as obits, + float8send(flt::text::float8) = float8send(flt) as correct + from (select bits::bigint::xfloat8::float8 as flt + from testdata + offset 0) s; + +-- clean up, lest opr_sanity complain +drop type xfloat8 cascade; |