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Diffstat (limited to 'test/math/libm-test-ulps-x86_64')
| -rw-r--r-- | test/math/libm-test-ulps-x86_64 | 2462 |
1 files changed, 717 insertions, 1745 deletions
diff --git a/test/math/libm-test-ulps-x86_64 b/test/math/libm-test-ulps-x86_64 index 7e7707b..5e8cf2e 100644 --- a/test/math/libm-test-ulps-x86_64 +++ b/test/math/libm-test-ulps-x86_64 @@ -1,561 +1,325 @@ # Begin of automatic generation -# Maximal error of functions: -Function: "acos": -float: 1 -ifloat: 1 +# acos +Test "acos (0.75) == 0.722734247813415611178377352641333362": ildouble: 1 ldouble: 1 -Function: "acos_downward": -double: 1 +# asin +Test "asin (-0.5) == -pi/6": +ildouble: 1 +ldouble: 1 +Test "asin (-1.0) == -pi/2": +ildouble: 1 +ldouble: 1 +Test "asin (0.5) == pi/6": +ildouble: 1 +ldouble: 1 +Test "asin (0.75) == 0.848062078981481008052944338998418080": +ildouble: 1 +ldouble: 1 +Test "asin (1.0) == pi/2": +ildouble: 1 +ldouble: 1 + +# atan2 +Test "atan2 (-0.75, -1.0) == -2.49809154479650885165983415456218025": float: 1 -idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: "acos_towardzero": -double: 1 +Test "atan2 (0.75, -1.0) == 2.49809154479650885165983415456218025": float: 1 -idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: "acos_upward": -double: 1 +Test "atan2 (1.390625, 0.9296875) == 0.981498387184244311516296577615519772": float: 1 -idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 -Function: "acosh": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: "acosh_downward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "acosh_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "acosh_upward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: "asin": +# atanh +Test "atanh (0.75) == 0.972955074527656652552676371721589865": float: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Function: "asin_downward": -double: 1 +# cacos +Test "Imaginary part of: cacos (0.75 + 1.25 i) == 1.11752014915610270578240049553777969 - 1.13239363160530819522266333696834467 i": float: 1 -idouble: 1 ifloat: 1 ildouble: 2 ldouble: 2 -Function: "asin_towardzero": +# cacosh +Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": double: 1 -float: 1 +float: 7 idouble: 1 -ifloat: 1 -ildouble: 1 -ldouble: 1 - -Function: "asin_upward": +ifloat: 7 +ildouble: 6 +ldouble: 6 +Test "Imaginary part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": double: 1 -float: 1 +float: 3 idouble: 1 -ifloat: 1 +ifloat: 3 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (0.75 + 1.25 i) == 1.13239363160530819522266333696834467 + 1.11752014915610270578240049553777969 i": ildouble: 1 ldouble: 1 -Function: "asinh": +# casin +Test "Real part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 3 -ldouble: 3 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 -Function: "asinh_downward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 +# casinh +Test "Real part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i": +double: 5 +float: 1 +idouble: 5 +ifloat: 1 ildouble: 5 ldouble: 5 - -Function: "asinh_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "asinh_upward": +Test "Imaginary part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i": double: 3 -float: 3 +float: 6 idouble: 3 -ifloat: 3 +ifloat: 6 ildouble: 5 ldouble: 5 - -Function: "atan": +Test "Real part of: casinh (0.75 + 1.25 i) == 1.03171853444778027336364058631006594 + 0.911738290968487636358489564316731207 i": float: 1 ifloat: 1 -ildouble: 1 -ldouble: 1 - -Function: "atan2": +Test "Imaginary part of: casinh (0.75 + 1.25 i) == 1.03171853444778027336364058631006594 + 0.911738290968487636358489564316731207 i": +double: 1 float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Function: "atan2_downward": +# catan +Test "Real part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": +float: 3 +ifloat: 3 +Test "Imaginary part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 -ildouble: 1 -ldouble: 1 +ifloat: 1 +Test "Real part of: catan (0.75 + 1.25 i) == 1.10714871779409050301706546017853704 + 0.549306144334054845697622618461262852 i": +float: 4 +ifloat: 4 -Function: "atan2_towardzero": -double: 1 -float: 2 -idouble: 1 -ifloat: 2 +# catanh +Test "Real part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": +double: 4 +idouble: 4 ildouble: 1 ldouble: 1 - -Function: "atan2_upward": +Test "Imaginary part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": +float: 4 +ifloat: 4 +Test "Real part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": double: 1 -float: 2 idouble: 1 -ifloat: 2 -ildouble: 1 -ldouble: 1 +Test "Imaginary part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": +float: 6 +ifloat: 6 -Function: "atan_downward": -double: 1 -float: 2 -idouble: 1 -ifloat: 2 +# cbrt +Test "cbrt (-0.001) == -0.1": ildouble: 1 ldouble: 1 - -Function: "atan_towardzero": +Test "cbrt (-27.0) == -3.0": double: 1 -float: 1 idouble: 1 -ifloat: 1 -ildouble: 1 -ldouble: 1 - -Function: "atan_upward": +Test "cbrt (0.75) == 0.908560296416069829445605878163630251": double: 1 -float: 2 idouble: 1 -ifloat: 2 -ildouble: 1 -ldouble: 1 - -Function: "atanh": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: "atanh_downward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: "atanh_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "atanh_upward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: "cabs": +Test "cbrt (0.9921875) == 0.997389022060725270579075195353955217": double: 1 idouble: 1 ildouble: 1 ldouble: 1 -Function: "cabs_downward": +# ccos +Test "Real part of: ccos (-2 - 3 i) == -4.18962569096880723013255501961597373 - 9.10922789375533659797919726277886212 i": double: 1 idouble: 1 +Test "Imaginary part of: ccos (-2 - 3 i) == -4.18962569096880723013255501961597373 - 9.10922789375533659797919726277886212 i": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "cabs_towardzero": +Test "Real part of: ccos (0.75 + 1.25 i) == 1.38173873063425888530729933139078645 - 1.09193013555397466170919531722024128 i": double: 1 +float: 1 idouble: 1 +ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "cabs_upward": -double: 1 -idouble: 1 +Test "Imaginary part of: ccos (0.75 + 1.25 i) == 1.38173873063425888530729933139078645 - 1.09193013555397466170919531722024128 i": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 -Function: Real part of "cacos": +# ccosh +Test "Real part of: ccosh (-2 - 3 i) == -3.72454550491532256547397070325597253 + 0.511822569987384608834463849801875634 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccosh (-2 - 3 i) == -3.72454550491532256547397070325597253 + 0.511822569987384608834463849801875634 i": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 +ifloat: 1 ildouble: 1 ldouble: 1 - -Function: Imaginary part of "cacos": -double: 1 -float: 2 -idouble: 1 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "cacos_downward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "cacos_downward": -double: 5 -float: 3 -idouble: 5 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Real part of "cacos_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "cacos_towardzero": -double: 5 -float: 3 -idouble: 5 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Real part of "cacos_upward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "cacos_upward": -double: 4 -float: 4 -idouble: 4 -ifloat: 4 -ildouble: 5 -ldouble: 5 - -Function: Real part of "cacosh": +Test "Real part of: ccosh (0.75 + 1.25 i) == 0.408242591877968807788852146397499084 + 0.780365930845853240391326216300863152 i": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 -ildouble: 2 -ldouble: 2 +ifloat: 1 +Test "Imaginary part of: ccosh (0.75 + 1.25 i) == 0.408242591877968807788852146397499084 + 0.780365930845853240391326216300863152 i": +float: 1 +ifloat: 1 -Function: Imaginary part of "cacosh": -double: 1 -float: 2 -idouble: 1 -ifloat: 2 +# cexp +Test "Imaginary part of: cexp (-2.0 - 3.0 i) == -0.13398091492954261346140525546115575 - 0.019098516261135196432576240858800925 i": +float: 1 +ifloat: 1 +Test "Real part of: cexp (0.75 + 1.25 i) == 0.667537446429131586942201977015932112 + 2.00900045494094876258347228145863909 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: cexp (0.75 + 1.25 i) == 0.667537446429131586942201977015932112 + 2.00900045494094876258347228145863909 i": ildouble: 1 ldouble: 1 -Function: Real part of "cacosh_downward": -double: 5 +# clog +Test "Imaginary part of: clog (-2 - 3 i) == 1.2824746787307683680267437207826593 - 2.1587989303424641704769327722648368 i": float: 3 -idouble: 5 ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "cacosh_downward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "cacosh_towardzero": -double: 5 -float: 3 -idouble: 5 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "cacosh_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "cacosh_upward": -double: 4 -float: 4 -idouble: 4 -ifloat: 4 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "cacosh_upward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: "carg": +Test "Real part of: clog (0.75 + 1.25 i) == 0.376885901188190075998919126749298416 + 1.03037682652431246378774332703115153 i": float: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Function: "carg_downward": +# clog10 +Test "Imaginary part of: clog10 (-0 + inf i) == inf + pi/2*log10(e) i": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 -ildouble: 1 -ldouble: 1 - -Function: "carg_towardzero": +ifloat: 1 +Test "Imaginary part of: clog10 (-0 - inf i) == inf - pi/2*log10(e) i": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 -ildouble: 1 -ldouble: 1 - -Function: "carg_upward": +ifloat: 1 +Test "Imaginary part of: clog10 (-2 - 3 i) == 0.556971676153418384603252578971164214 - 0.937554462986374708541507952140189646 i": double: 1 -float: 2 +float: 5 idouble: 1 -ifloat: 2 +ifloat: 5 ildouble: 1 ldouble: 1 - -Function: Real part of "casin": +Test "Imaginary part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 1 -ldouble: 1 - -Function: Imaginary part of "casin": +Test "Imaginary part of: clog10 (-3 - inf i) == inf - pi/2*log10(e) i": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "casin_downward": -double: 3 +ifloat: 1 +Test "Imaginary part of: clog10 (-inf + 0 i) == inf + pi*log10(e) i": +double: 1 float: 1 -idouble: 3 +idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "casin_downward": -double: 5 -float: 3 -idouble: 5 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Real part of "casin_towardzero": -double: 3 +Test "Imaginary part of: clog10 (-inf + 1 i) == inf + pi*log10(e) i": +double: 1 float: 1 -idouble: 3 +idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "casin_towardzero": -double: 5 -float: 3 -idouble: 5 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Real part of "casin_upward": -double: 2 +Test "Imaginary part of: clog10 (-inf + inf i) == inf + 3/4 pi*log10(e) i": +double: 1 +idouble: 1 +Test "Imaginary part of: clog10 (-inf - 0 i) == inf - pi*log10(e) i": +double: 1 float: 1 -idouble: 2 +idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "casin_upward": -double: 4 -float: 4 -idouble: 4 -ifloat: 4 -ildouble: 5 -ldouble: 5 - -Function: Real part of "casinh": +Test "Imaginary part of: clog10 (-inf - 1 i) == inf - pi*log10(e) i": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "casinh": +ifloat: 1 +Test "Imaginary part of: clog10 (0 + inf i) == inf + pi/2*log10(e) i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: clog10 (0 - inf i) == inf - pi/2*log10(e) i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Real part of: clog10 (0.75 + 1.25 i) == 0.163679467193165171449476605077428975 + 0.447486970040493067069984724340855636 i": double: 1 float: 1 idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: Real part of "casinh_downward": -double: 5 -float: 3 -idouble: 5 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "casinh_downward": -double: 3 +Test "Imaginary part of: clog10 (3 + inf i) == inf + pi/2*log10(e) i": +double: 1 float: 1 -idouble: 3 +idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: Real part of "casinh_towardzero": -double: 5 -float: 3 -idouble: 5 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "casinh_towardzero": -double: 3 +Test "Imaginary part of: clog10 (3 - inf i) == inf - pi/2*log10(e) i": +double: 1 float: 1 -idouble: 3 +idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: Real part of "casinh_upward": -double: 4 -float: 4 -idouble: 4 -ifloat: 4 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "casinh_upward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "catan": +Test "Imaginary part of: clog10 (inf + inf i) == inf + pi/4*log10(e) i": +double: 1 float: 1 +idouble: 1 ifloat: 1 - -Function: Imaginary part of "catan": +Test "Imaginary part of: clog10 (inf - inf i) == inf - pi/4*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 1 -ldouble: 1 -Function: Real part of "catan_downward": +# cos +Test "cos (0.80190127184058835) == 0.69534156199418473": +double: 1 +idouble: 1 +Test "cos (M_PI_6l * 2.0) == 0.5": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 1 -ldouble: 1 - -Function: Imaginary part of "catan_downward": +Test "cos (M_PI_6l * 4.0) == -0.5": double: 2 -float: 2 +float: 1 idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: Real part of "catan_towardzero": +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cos (pi/2) == 0": double: 1 float: 1 idouble: 1 @@ -563,135 +327,110 @@ ifloat: 1 ildouble: 1 ldouble: 1 -Function: Imaginary part of "catan_towardzero": -double: 2 +# cpow +Test "Real part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": float: 1 -idouble: 2 ifloat: 1 -ildouble: 4 -ldouble: 4 - -Function: Real part of "catan_upward": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": float: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: Imaginary part of "catan_upward": -double: 3 +Test "Real part of: cpow (0.75 + 1.25 i, 0.75 + 1.25 i) == 0.117506293914473555420279832210420483 + 0.346552747708338676483025352060418001 i": +double: 1 +float: 4 +idouble: 1 +ifloat: 4 +ildouble: 5 +ldouble: 5 +Test "Imaginary part of: cpow (0.75 + 1.25 i, 0.75 + 1.25 i) == 0.117506293914473555420279832210420483 + 0.346552747708338676483025352060418001 i": +ildouble: 2 +ldouble: 2 +Test "Real part of: cpow (0.75 + 1.25 i, 1.0 + 0.0 i) == 0.75 + 1.25 i": +ildouble: 1 +ldouble: 1 +Test "Real part of: cpow (0.75 + 1.25 i, 1.0 + 1.0 i) == 0.0846958290317209430433805274189191353 + 0.513285749182902449043287190519090481 i": +double: 2 float: 3 -idouble: 3 +idouble: 2 ifloat: 3 ildouble: 3 ldouble: 3 - -Function: Real part of "catanh": -double: 1 -float: 1 -idouble: 1 -ifloat: 1 +Test "Real part of: cpow (2 + 0 i, 10 + 0 i) == 1024.0 + 0.0 i": ildouble: 1 ldouble: 1 - -Function: Imaginary part of "catanh": -float: 1 -ifloat: 1 - -Function: Real part of "catanh_downward": +Test "Real part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i": +double: 1 +float: 5 +idouble: 1 +ifloat: 5 +Test "Imaginary part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i": +float: 2 +ifloat: 2 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: cpow (e + 0 i, 0 + 2 * M_PIl i) == 1.0 + 0.0 i": double: 2 float: 2 idouble: 2 ifloat: 2 -ildouble: 4 -ldouble: 4 +ildouble: 1 +ldouble: 1 -Function: Imaginary part of "catanh_downward": +# csin +Test "Imaginary part of: csin (-2 - 3 i) == -9.15449914691142957346729954460983256 + 4.16890695996656435075481305885375484 i": double: 1 -float: 2 idouble: 1 -ifloat: 2 +Test "Real part of: csin (0.75 + 1.25 i) == 1.28722291002649188575873510790565441 + 1.17210635989270256101081285116138863 i": ildouble: 1 ldouble: 1 - -Function: Real part of "catanh_towardzero": -double: 2 +Test "Imaginary part of: csin (0.75 + 1.25 i) == 1.28722291002649188575873510790565441 + 1.17210635989270256101081285116138863 i": float: 1 -idouble: 2 ifloat: 1 -ildouble: 4 -ldouble: 4 -Function: Imaginary part of "catanh_towardzero": +# csinh +Test "Real part of: csinh (-2 - 3 i) == 3.59056458998577995201256544779481679 - 0.530921086248519805267040090660676560 i": double: 1 -float: 2 idouble: 1 -ifloat: 2 -ildouble: 1 -ldouble: 1 - -Function: Real part of "catanh_upward": -double: 4 -float: 3 -idouble: 4 -ifloat: 3 -ildouble: 4 -ldouble: 4 - -Function: Imaginary part of "catanh_upward": +Test "Imaginary part of: csinh (-2 - 3 i) == 3.59056458998577995201256544779481679 - 0.530921086248519805267040090660676560 i": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 +Test "Real part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": float: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "cbrt": -double: 3 +Test "Imaginary part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": float: 1 -idouble: 3 ifloat: 1 -ildouble: 1 -ldouble: 1 -Function: "cbrt_downward": -double: 4 +# csqrt +Test "Real part of: csqrt (-2 + 3 i) == 0.89597747612983812471573375529004348 + 1.6741492280355400404480393008490519 i": float: 1 -idouble: 4 ifloat: 1 -ildouble: 1 -ldouble: 1 - -Function: "cbrt_towardzero": -double: 3 +Test "Real part of: csqrt (-2 - 3 i) == 0.89597747612983812471573375529004348 - 1.6741492280355400404480393008490519 i": float: 1 -idouble: 3 ifloat: 1 -ildouble: 1 -ldouble: 1 -Function: "cbrt_upward": -double: 5 -float: 1 -idouble: 5 -ifloat: 1 -ildouble: 1 -ldouble: 1 - -Function: Real part of "ccos": +# ctan +Test "Real part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": double: 1 -float: 1 idouble: 1 -ifloat: 1 -ildouble: 1 -ldouble: 1 - -Function: Imaginary part of "ccos": -double: 1 +ildouble: 439 +ldouble: 439 +Test "Imaginary part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": float: 1 -idouble: 1 ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Real part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": ildouble: 1 ldouble: 1 - -Function: Real part of "ccos_downward": +Test "Imaginary part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": double: 1 float: 1 idouble: 1 @@ -699,413 +438,281 @@ ifloat: 1 ildouble: 3 ldouble: 3 -Function: Imaginary part of "ccos_downward": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Real part of "ccos_towardzero": +# ctanh +Test "Real part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i": double: 1 float: 2 idouble: 1 ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "ccos_towardzero": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Real part of "ccos_upward": +ildouble: 5 +ldouble: 5 +Test "Imaginary part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i": +ildouble: 25 +ldouble: 25 +Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i": +float: 1 +ifloat: 1 +Test "Real part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i": double: 1 -float: 2 idouble: 1 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "ccos_upward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "ccosh": +Test "Imaginary part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i": double: 1 -float: 1 idouble: 1 -ifloat: 1 ildouble: 1 ldouble: 1 -Function: Imaginary part of "ccosh": +# erf +Test "erf (0.75) == 0.711155633653515131598937834591410777": double: 1 -float: 1 idouble: 1 -ifloat: 1 +Test "erf (1.25) == 0.922900128256458230136523481197281140": +double: 1 +idouble: 1 + +# erfc +Test "erfc (1.25) == 0.0770998717435417698634765188027188596": ildouble: 1 ldouble: 1 - -Function: Real part of "ccosh_downward": +Test "erfc (2.0) == 0.00467773498104726583793074363274707139": double: 1 -float: 2 idouble: 1 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "ccosh_downward": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 +Test "erfc (4.125) == 0.542340079956506600531223408575531062e-8": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 -Function: Real part of "ccosh_towardzero": +# exp +Test "exp (1) == e": double: 1 -float: 3 idouble: 1 -ifloat: 3 -ildouble: 3 -ldouble: 3 -Function: Imaginary part of "ccosh_towardzero": +# exp10 +Test "exp10 (-1) == 0.1": double: 2 -float: 3 +float: 1 idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Real part of "ccosh_upward": +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "exp10 (0.75) == 5.62341325190349080394951039776481231": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 +ifloat: 1 ildouble: 2 ldouble: 2 - -Function: Imaginary part of "ccosh_upward": -double: 2 +Test "exp10 (3) == 1000": +double: 6 float: 2 -idouble: 2 +idouble: 6 ifloat: 2 -ildouble: 2 -ldouble: 2 +ildouble: 8 +ldouble: 8 -Function: Real part of "cexp": -double: 2 +# expm1 +Test "expm1 (0.75) == 1.11700001661267466854536981983709561": +double: 1 +idouble: 1 +Test "expm1 (1) == M_El - 1.0": +double: 1 float: 1 -idouble: 2 +idouble: 1 ifloat: 1 + +# gamma +Test "gamma (-0.5) == log(2*sqrt(pi))": ildouble: 1 ldouble: 1 -Function: Imaginary part of "cexp": +# hypot +Test "hypot (-0.7, -12.4) == 12.419742348374220601176836866763271": +float: 1 +ifloat: 1 +Test "hypot (-0.7, 12.4) == 12.419742348374220601176836866763271": +float: 1 +ifloat: 1 +Test "hypot (-12.4, -0.7) == 12.419742348374220601176836866763271": +float: 1 +ifloat: 1 +Test "hypot (-12.4, 0.7) == 12.419742348374220601176836866763271": +float: 1 +ifloat: 1 +Test "hypot (0.7, -12.4) == 12.419742348374220601176836866763271": +float: 1 +ifloat: 1 +Test "hypot (0.7, 12.4) == 12.419742348374220601176836866763271": +float: 1 +ifloat: 1 +Test "hypot (12.4, -0.7) == 12.419742348374220601176836866763271": +float: 1 +ifloat: 1 +Test "hypot (12.4, 0.7) == 12.419742348374220601176836866763271": +float: 1 +ifloat: 1 + +# j0 +Test "j0 (-4.0) == -3.9714980986384737228659076845169804197562E-1": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 +ifloat: 1 ildouble: 1 ldouble: 1 - -Function: Real part of "cexp_downward": -double: 1 +Test "j0 (0.75) == 0.864242275166648623555731103820923211": +float: 1 +ifloat: 1 +Test "j0 (10.0) == -0.245935764451348335197760862485328754": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +Test "j0 (2.0) == 0.223890779141235668051827454649948626": float: 2 -idouble: 1 ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "cexp_downward": +Test "j0 (4.0) == -3.9714980986384737228659076845169804197562E-1": double: 1 -float: 3 +float: 1 idouble: 1 -ifloat: 3 -ildouble: 3 -ldouble: 3 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "j0 (8.0) == 0.171650807137553906090869407851972001": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 -Function: Real part of "cexp_towardzero": -double: 1 +# j1 +Test "j1 (10.0) == 0.0434727461688614366697487680258592883": float: 2 -idouble: 1 ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "cexp_towardzero": +ildouble: 1 +ldouble: 1 +Test "j1 (2.0) == 0.576724807756873387202448242269137087": double: 1 -float: 3 idouble: 1 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Real part of "cexp_upward": +Test "j1 (8.0) == 0.234636346853914624381276651590454612": double: 1 -float: 2 idouble: 1 -ifloat: 2 -ildouble: 2 -ldouble: 2 +ildouble: 1 +ldouble: 1 -Function: Imaginary part of "cexp_upward": +# jn +Test "jn (0, -4.0) == -3.9714980986384737228659076845169804197562E-1": double: 1 -float: 2 -idouble: 1 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Real part of "clog": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "clog": float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: Real part of "clog10": -double: 3 -float: 4 -idouble: 3 -ifloat: 4 -ildouble: 4 -ldouble: 4 - -Function: Imaginary part of "clog10": +Test "jn (0, 0.75) == 0.864242275166648623555731103820923211": +float: 1 +ifloat: 1 +Test "jn (0, 10.0) == -0.245935764451348335197760862485328754": double: 2 -float: 2 +float: 1 idouble: 2 +ifloat: 1 +Test "jn (0, 2.0) == 0.223890779141235668051827454649948626": +float: 2 ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "clog10_downward": -double: 5 -float: 4 -idouble: 5 -ifloat: 4 -ildouble: 8 -ldouble: 8 - -Function: Imaginary part of "clog10_downward": -double: 2 -float: 4 -idouble: 2 -ifloat: 4 -ildouble: 3 -ldouble: 3 - -Function: Real part of "clog10_towardzero": -double: 5 -float: 5 -idouble: 5 -ifloat: 5 -ildouble: 8 -ldouble: 8 - -Function: Imaginary part of "clog10_towardzero": -double: 2 -float: 4 -idouble: 2 -ifloat: 4 -ildouble: 3 -ldouble: 3 - -Function: Real part of "clog10_upward": -double: 6 -float: 5 -idouble: 6 -ifloat: 5 -ildouble: 8 -ldouble: 8 - -Function: Imaginary part of "clog10_upward": +Test "jn (0, 4.0) == -3.9714980986384737228659076845169804197562E-1": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "jn (0, 8.0) == 0.171650807137553906090869407851972001": double: 2 -float: 4 +float: 1 idouble: 2 -ifloat: 4 -ildouble: 3 -ldouble: 3 - -Function: Real part of "clog_downward": -double: 4 -float: 3 -idouble: 4 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "clog_downward": -double: 1 +ifloat: 1 +Test "jn (1, 10.0) == 0.0434727461688614366697487680258592883": float: 2 -idouble: 1 ifloat: 2 ildouble: 1 ldouble: 1 - -Function: Real part of "clog_towardzero": -double: 4 -float: 4 -idouble: 4 -ifloat: 4 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "clog_towardzero": +Test "jn (1, 2.0) == 0.576724807756873387202448242269137087": double: 1 -float: 3 idouble: 1 -ifloat: 3 -ildouble: 1 -ldouble: 1 - -Function: Real part of "clog_upward": -double: 4 -float: 3 -idouble: 4 -ifloat: 3 -ildouble: 4 -ldouble: 4 - -Function: Imaginary part of "clog_upward": +Test "jn (1, 8.0) == 0.234636346853914624381276651590454612": double: 1 -float: 2 idouble: 1 -ifloat: 2 ildouble: 1 ldouble: 1 - -Function: "cos": +Test "jn (10, -1.0) == 0.263061512368745320699785368779050294e-9": ildouble: 1 ldouble: 1 - -Function: "cos_downward": +Test "jn (10, 0.125) == 0.250543369809369890173993791865771547e-18": double: 1 +float: 1 idouble: 1 -ildouble: 3 -ldouble: 3 - -Function: "cos_towardzero": +ifloat: 1 +Test "jn (10, 0.75) == 0.149621713117596814698712483621682835e-10": double: 1 +float: 1 idouble: 1 +ifloat: 1 ildouble: 2 ldouble: 2 - -Function: "cos_upward": -double: 1 -idouble: 1 +Test "jn (10, 1.0) == 0.263061512368745320699785368779050294e-9": +ildouble: 1 +ldouble: 1 +Test "jn (10, 10.0) == 0.207486106633358857697278723518753428": +double: 4 +float: 3 +idouble: 4 +ifloat: 3 ildouble: 2 ldouble: 2 - -Function: "cos_vlen16": -float: 1 - -Function: "cos_vlen2": -double: 2 - -Function: "cos_vlen4": -double: 2 -float: 1 - -Function: "cos_vlen4_avx2": -double: 2 - -Function: "cos_vlen8": -double: 1 -float: 1 - -Function: "cos_vlen8_avx2": -float: 1 - -Function: "cosh": +Test "jn (10, 2.0) == 0.251538628271673670963516093751820639e-6": +float: 4 +ifloat: 4 +ildouble: 1 +ldouble: 1 +Test "jn (3, -1.0) == -0.0195633539826684059189053216217515083": +ildouble: 1 +ldouble: 1 +Test "jn (3, 0.125) == 0.406503832554912875023029337653442868e-4": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: "cosh_downward": +Test "jn (3, 0.75) == 0.848438342327410884392755236884386804e-2": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 3 - -Function: "cosh_towardzero": -double: 1 +Test "jn (3, 1.0) == 0.0195633539826684059189053216217515083": +ildouble: 1 +ldouble: 1 +Test "jn (3, 10.0) == 0.0583793793051868123429354784103409563": +double: 3 float: 1 -idouble: 1 +idouble: 3 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: "cosh_upward": +ildouble: 1 +ldouble: 1 +Test "jn (3, 2.0) == 0.128943249474402051098793332969239835": double: 1 float: 2 idouble: 1 ifloat: 2 -ildouble: 2 -ldouble: 3 - -Function: Real part of "cpow": -double: 2 -float: 5 -idouble: 2 -ifloat: 5 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "cpow": -float: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: Real part of "cpow_downward": -double: 4 -float: 8 -idouble: 4 -ifloat: 8 -ildouble: 7 -ldouble: 7 +ildouble: 1 +ldouble: 1 -Function: Imaginary part of "cpow_downward": +# lgamma +Test "lgamma (-0.5) == log(2*sqrt(pi))": +ildouble: 1 +ldouble: 1 +Test "lgamma (0.7) == 0.260867246531666514385732417016759578": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "cpow_towardzero": -double: 4 -float: 8 -idouble: 4 -ifloat: 8 -ildouble: 7 -ldouble: 7 - -Function: Imaginary part of "cpow_towardzero": +ifloat: 1 +Test "lgamma (1.2) == -0.853740900033158497197028392998854470e-1": double: 1 float: 2 idouble: 1 @@ -1113,341 +720,99 @@ ifloat: 2 ildouble: 1 ldouble: 1 -Function: Real part of "cpow_upward": -double: 4 -float: 1 -idouble: 4 -ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "cpow_upward": +# log10 +Test "log10 (0.75) == -0.124938736608299953132449886193870744": double: 1 float: 2 idouble: 1 ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "csin": -double: 1 +ildouble: 1 +ldouble: 1 +Test "log10 (e) == log10(e)": float: 1 -idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Function: Real part of "csin_downward": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 +# log1p +Test "log1p (-0.25) == -0.287682072451780927439219005993827432": +float: 1 +ifloat: 1 -Function: Imaginary part of "csin_downward": +# sincos +Test "sincos (0.80190127184058835, &sin_res, &cos_res) puts 0.69534156199418473 in cos_res": double: 1 -float: 2 idouble: 1 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Real part of "csin_towardzero": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "csin_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Real part of "csin_upward": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "csin_upward": +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": double: 1 -float: 3 +float: 1 idouble: 1 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Real part of "csinh": +ifloat: 1 +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": +double: 1 float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: Imaginary part of "csinh": +Test "sincos (pi/2, &sin_res, &cos_res) puts 0 in cos_res": double: 1 float: 1 idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 +Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res": +float: 1 +ifloat: 1 -Function: Real part of "csinh_downward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "csinh_downward": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Real part of "csinh_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "csinh_towardzero": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Real part of "csinh_upward": +# tan +Test "tan (pi/4) == 1": double: 1 -float: 3 idouble: 1 -ifloat: 3 -ildouble: 3 -ldouble: 3 -Function: Imaginary part of "csinh_upward": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Real part of "csqrt": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "csqrt": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "csqrt_downward": -double: 5 -float: 4 -idouble: 5 -ifloat: 4 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "csqrt_downward": -double: 4 -float: 3 -idouble: 4 -ifloat: 3 -ildouble: 4 -ldouble: 4 - -Function: Real part of "csqrt_towardzero": -double: 4 -float: 3 -idouble: 4 -ifloat: 3 -ildouble: 4 -ldouble: 4 - -Function: Imaginary part of "csqrt_towardzero": -double: 4 -float: 3 -idouble: 4 -ifloat: 3 -ildouble: 4 -ldouble: 4 - -Function: Real part of "csqrt_upward": -double: 5 -float: 4 -idouble: 5 -ifloat: 4 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "csqrt_upward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 4 -ldouble: 4 - -Function: Real part of "ctan": +# tgamma +Test "tgamma (-0.5) == -2 sqrt (pi)": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: Imaginary part of "ctan": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 ildouble: 1 ldouble: 1 - -Function: Real part of "ctan_downward": -double: 6 -float: 5 -idouble: 6 -ifloat: 5 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "ctan_downward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: Real part of "ctan_towardzero": -double: 5 -float: 3 -idouble: 5 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: Imaginary part of "ctan_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: Real part of "ctan_upward": -double: 2 -float: 4 -idouble: 2 -ifloat: 4 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "ctan_upward": -double: 2 +Test "tgamma (0.5) == sqrt (pi)": float: 1 -idouble: 2 ifloat: 1 -ildouble: 3 -ldouble: 3 - -Function: Real part of "ctanh": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 +Test "tgamma (0.7) == 1.29805533264755778568117117915281162": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "tgamma (4) == 6": ildouble: 1 ldouble: 1 -Function: Imaginary part of "ctanh": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: Real part of "ctanh_downward": -double: 4 -float: 2 -idouble: 4 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: Imaginary part of "ctanh_downward": -double: 6 -float: 5 -idouble: 6 -ifloat: 5 -ildouble: 4 -ldouble: 4 - -Function: Real part of "ctanh_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: Imaginary part of "ctanh_towardzero": -double: 5 -float: 3 -idouble: 5 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: Real part of "ctanh_upward": +# y0 +Test "y0 (0.125) == -1.38968062514384052915582277745018693": +ildouble: 1 +ldouble: 1 +Test "y0 (1.0) == 0.0882569642156769579829267660235151628": double: 2 -float: 2 +float: 1 idouble: 2 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: Imaginary part of "ctanh_upward": +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "y0 (1.5) == 0.382448923797758843955068554978089862": double: 2 -float: 3 +float: 1 idouble: 2 -ifloat: 3 -ildouble: 3 -ldouble: 3 - -Function: "erf": -double: 1 +ifloat: 1 +Test "y0 (10.0) == 0.0556711672835993914244598774101900481": float: 1 -idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "erf_downward": +Test "y0 (8.0) == 0.223521489387566220527323400498620359": double: 1 float: 1 idouble: 1 @@ -1455,807 +820,486 @@ ifloat: 1 ildouble: 1 ldouble: 1 -Function: "erf_towardzero": +# y1 +Test "y1 (0.125) == -5.19993611253477499595928744876579921": double: 1 -float: 1 idouble: 1 -ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "erf_upward": +Test "y1 (1.5) == -0.412308626973911295952829820633445323": +float: 1 +ifloat: 1 +Test "y1 (10.0) == 0.249015424206953883923283474663222803": +double: 3 +float: 1 +idouble: 3 +ifloat: 1 +Test "y1 (2.0) == -0.107032431540937546888370772277476637": double: 1 float: 1 idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "erfc": -double: 3 +Test "y1 (8.0) == -0.158060461731247494255555266187483550": +double: 1 float: 2 -idouble: 3 +idouble: 1 ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: "erfc_downward": -double: 5 -float: 6 -idouble: 5 -ifloat: 6 -ildouble: 4 -ldouble: 4 - -Function: "erfc_towardzero": -double: 3 -float: 4 -idouble: 3 -ifloat: 4 -ildouble: 4 -ldouble: 4 - -Function: "erfc_upward": -double: 5 -float: 6 -idouble: 5 -ifloat: 6 -ildouble: 5 -ldouble: 5 - -Function: "exp": ildouble: 1 ldouble: 1 -Function: "exp10": -double: 2 -idouble: 2 +# yn +Test "yn (0, 0.125) == -1.38968062514384052915582277745018693": ildouble: 1 ldouble: 1 - -Function: "exp10_downward": +Test "yn (0, 1.0) == 0.0882569642156769579829267660235151628": double: 2 float: 1 idouble: 2 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: "exp10_towardzero": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: "exp10_upward": +ildouble: 1 +ldouble: 1 +Test "yn (0, 1.5) == 0.382448923797758843955068554978089862": double: 2 float: 1 idouble: 2 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: "exp2": -double: 1 +Test "yn (0, 10.0) == 0.0556711672835993914244598774101900481": float: 1 -idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "exp2_downward": +Test "yn (0, 8.0) == 0.223521489387566220527323400498620359": double: 1 float: 1 idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "exp2_towardzero": +Test "yn (1, 0.125) == -5.19993611253477499595928744876579921": double: 1 -float: 1 idouble: 1 -ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "exp2_upward": +Test "yn (1, 1.5) == -0.412308626973911295952829820633445323": +float: 1 +ifloat: 1 +Test "yn (1, 10.0) == 0.249015424206953883923283474663222803": +double: 3 +float: 1 +idouble: 3 +ifloat: 1 +Test "yn (1, 2.0) == -0.107032431540937546888370772277476637": double: 1 float: 1 idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 - -Function: "exp_downward": +Test "yn (1, 8.0) == -0.158060461731247494255555266187483550": double: 1 +float: 2 idouble: 1 +ifloat: 2 ildouble: 1 ldouble: 1 - -Function: "exp_towardzero": +Test "yn (10, 0.125) == -127057845771019398.252538486899753195": double: 1 idouble: 1 ildouble: 2 ldouble: 2 - -Function: "exp_upward": +Test "yn (10, 0.75) == -2133501638.90573424452445412893839236": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 1 -ldouble: 1 - -Function: "exp_vlen16": -float: 1 - -Function: "exp_vlen2": +ildouble: 4 +ldouble: 4 +Test "yn (10, 1.0) == -121618014.278689189288130426667971145": double: 1 - -Function: "exp_vlen4": +idouble: 1 +Test "yn (10, 10.0) == -0.359814152183402722051986577343560609": double: 1 float: 1 - -Function: "exp_vlen4_avx2": -double: 1 - -Function: "exp_vlen8": +idouble: 1 +ifloat: 1 +Test "yn (10, 2.0) == -129184.542208039282635913145923304214": +double: 2 +idouble: 2 +Test "yn (3, 0.125) == -2612.69757350066712600220955744091741": double: 1 -float: 1 - -Function: "exp_vlen8_avx2": -float: 1 - -Function: "expm1": +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "yn (3, 0.75) == -12.9877176234475433186319774484809207": double: 1 float: 1 idouble: 1 ifloat: 1 ildouble: 2 ldouble: 2 - -Function: "expm1_downward": +Test "yn (3, 10.0) == -0.251362657183837329779204747654240998": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 4 -ldouble: 4 - -Function: "expm1_towardzero": +Test "yn (3, 2.0) == -1.12778377684042778608158395773179238": double: 1 -float: 2 idouble: 1 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "expm1_upward": -double: 1 -float: 1 -idouble: 1 -ifloat: 1 -ildouble: 4 -ldouble: 4 - -Function: "gamma": -double: 4 -float: 4 -idouble: 4 -ifloat: 4 -ildouble: 4 -ldouble: 4 - -Function: "gamma_downward": -double: 5 -float: 4 -idouble: 5 -ifloat: 4 -ildouble: 7 -ldouble: 7 -Function: "gamma_towardzero": -double: 5 -float: 4 -idouble: 5 -ifloat: 4 -ildouble: 7 -ldouble: 7 - -Function: "gamma_upward": -double: 5 -float: 5 -idouble: 5 -ifloat: 5 -ildouble: 6 -ldouble: 6 - -Function: "hypot": -double: 1 -idouble: 1 +# Maximal error of functions: +Function: "acos": ildouble: 1 ldouble: 1 -Function: "hypot_downward": -double: 1 -idouble: 1 +Function: "asin": ildouble: 1 ldouble: 1 -Function: "hypot_towardzero": -double: 1 -idouble: 1 -ildouble: 1 -ldouble: 1 +Function: "atan2": +float: 1 +ifloat: 1 -Function: "hypot_upward": -double: 1 -idouble: 1 +Function: "atanh": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 -Function: "j0": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 +Function: Imaginary part of "cacos": +float: 1 +ifloat: 1 ildouble: 2 ldouble: 2 -Function: "j0_downward": -double: 2 -float: 4 -idouble: 2 -ifloat: 4 -ildouble: 4 -ldouble: 4 - -Function: "j0_towardzero": -double: 3 -float: 2 -idouble: 3 -ifloat: 2 -ildouble: 5 -ldouble: 5 - -Function: "j0_upward": -double: 3 -float: 2 -idouble: 3 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "j1": +Function: Real part of "cacosh": double: 1 -float: 2 +float: 7 idouble: 1 -ifloat: 2 -ildouble: 1 -ldouble: 1 +ifloat: 7 +ildouble: 6 +ldouble: 6 -Function: "j1_downward": -double: 3 +Function: Imaginary part of "cacosh": +double: 1 float: 3 -idouble: 3 +idouble: 1 ifloat: 3 -ildouble: 4 -ldouble: 4 - -Function: "j1_towardzero": -double: 3 -float: 2 -idouble: 3 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "j1_upward": -double: 3 -float: 5 -idouble: 3 -ifloat: 5 -ildouble: 3 -ldouble: 3 +ildouble: 1 +ldouble: 1 -Function: "jn": -double: 4 -float: 4 -idouble: 4 -ifloat: 4 -ildouble: 4 -ldouble: 4 +Function: Real part of "casin": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 -Function: "jn_downward": -double: 5 -float: 5 -idouble: 5 -ifloat: 5 -ildouble: 4 -ldouble: 4 +Function: Imaginary part of "casin": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 -Function: "jn_towardzero": +Function: Real part of "casinh": double: 5 -float: 5 +float: 1 idouble: 5 -ifloat: 5 +ifloat: 1 ildouble: 5 ldouble: 5 -Function: "jn_upward": -double: 5 -float: 5 -idouble: 5 -ifloat: 5 +Function: Imaginary part of "casinh": +double: 3 +float: 6 +idouble: 3 +ifloat: 6 ildouble: 5 ldouble: 5 -Function: "lgamma": -double: 4 -float: 4 -idouble: 4 -ifloat: 4 -ildouble: 4 -ldouble: 4 - -Function: "lgamma_downward": -double: 5 -float: 4 -idouble: 5 -ifloat: 4 -ildouble: 7 -ldouble: 7 - -Function: "lgamma_towardzero": -double: 5 +Function: Real part of "catan": float: 4 -idouble: 5 ifloat: 4 -ildouble: 7 -ldouble: 7 -Function: "lgamma_upward": -double: 5 -float: 5 -idouble: 5 -ifloat: 5 -ildouble: 6 -ldouble: 6 - -Function: "log": +Function: Imaginary part of "catan": +double: 1 float: 1 +idouble: 1 ifloat: 1 -ildouble: 1 -ldouble: 1 -Function: "log10": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 +Function: Real part of "catanh": +double: 4 +idouble: 4 ildouble: 1 ldouble: 1 -Function: "log10_downward": -double: 2 -float: 3 -idouble: 2 -ifloat: 3 -ildouble: 2 -ldouble: 2 - -Function: "log10_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 +Function: Imaginary part of "catanh": +float: 6 +ifloat: 6 -Function: "log10_upward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 +Function: "cbrt": +double: 1 +idouble: 1 ildouble: 1 ldouble: 1 -Function: "log1p": +Function: Real part of "ccos": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: "log1p_downward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "log1p_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "log1p_upward": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 3 -ldouble: 3 +ildouble: 1 +ldouble: 1 -Function: "log2": -double: 2 +Function: Imaginary part of "ccos": float: 1 -idouble: 2 ifloat: 1 ildouble: 1 ldouble: 1 -Function: "log2_downward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 1 -ldouble: 1 +Function: Real part of "ccosh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 -Function: "log2_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 +Function: Imaginary part of "ccosh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 ildouble: 1 ldouble: 1 -Function: "log2_upward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 +Function: Real part of "cexp": +float: 1 +ifloat: 1 + +Function: Imaginary part of "cexp": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 -Function: "log_downward": -float: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: "log_towardzero": -float: 2 -ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: "log_upward": -double: 1 -float: 2 -idouble: 1 -ifloat: 2 +Function: Real part of "clog": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 -Function: "log_vlen16": -float: 3 - -Function: "log_vlen2": -double: 1 - -Function: "log_vlen4": -double: 1 +Function: Imaginary part of "clog": float: 3 +ifloat: 3 -Function: "log_vlen4_avx2": -double: 1 - -Function: "log_vlen8": +Function: Real part of "clog10": double: 1 -float: 3 - -Function: "log_vlen8_avx2": -float: 2 - -Function: "pow": float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Function: "pow10": -double: 2 -idouble: 2 +Function: Imaginary part of "clog10": +double: 1 +float: 5 +idouble: 1 +ifloat: 5 ildouble: 1 ldouble: 1 -Function: "pow10_downward": +Function: "cos": double: 2 float: 1 idouble: 2 ifloat: 1 -ildouble: 2 -ldouble: 2 +ildouble: 1 +ldouble: 1 -Function: "pow10_towardzero": +Function: Real part of "cpow": double: 2 -float: 1 +float: 5 idouble: 2 -ifloat: 1 -ildouble: 2 -ldouble: 2 +ifloat: 5 +ildouble: 5 +ldouble: 5 -Function: "pow10_upward": +Function: Imaginary part of "cpow": double: 2 -float: 1 +float: 2 idouble: 2 -ifloat: 1 +ifloat: 2 ildouble: 2 ldouble: 2 -Function: "pow_downward": +Function: Real part of "csin": +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "csin": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 4 -ldouble: 4 -Function: "pow_towardzero": +Function: Real part of "csinh": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 4 -ldouble: 4 +ildouble: 1 +ldouble: 1 -Function: "pow_upward": +Function: Imaginary part of "csinh": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 4 -ldouble: 4 - -Function: "pow_vlen16": -float: 3 - -Function: "pow_vlen2": -double: 1 - -Function: "pow_vlen4": -double: 1 -float: 3 +ildouble: 2 +ldouble: 2 -Function: "pow_vlen4_avx2": -double: 1 +Function: Real part of "csqrt": +float: 1 +ifloat: 1 -Function: "pow_vlen8": +Function: Real part of "ctan": double: 1 -float: 3 - -Function: "pow_vlen8_avx2": -float: 3 - -Function: "sin": -ildouble: 1 -ldouble: 1 +idouble: 1 +ildouble: 439 +ldouble: 439 -Function: "sin_downward": +Function: Imaginary part of "ctan": double: 1 +float: 1 idouble: 1 +ifloat: 1 ildouble: 3 ldouble: 3 -Function: "sin_towardzero": +Function: Real part of "ctanh": double: 1 +float: 2 idouble: 1 -ildouble: 2 -ldouble: 2 +ifloat: 2 +ildouble: 5 +ldouble: 5 -Function: "sin_upward": +Function: Imaginary part of "ctanh": double: 1 -idouble: 1 -ildouble: 3 -ldouble: 3 - -Function: "sin_vlen16": float: 1 +idouble: 1 +ifloat: 1 +ildouble: 25 +ldouble: 25 -Function: "sin_vlen2": -double: 2 - -Function: "sin_vlen4": -double: 2 -float: 1 - -Function: "sin_vlen4_avx2": -double: 2 - -Function: "sin_vlen8": -double: 2 -float: 1 - -Function: "sin_vlen8_avx2": -float: 1 - -Function: "sincos": -ildouble: 1 -ldouble: 1 - -Function: "sincos_downward": +Function: "erf": double: 1 idouble: 1 -ildouble: 3 -ldouble: 3 -Function: "sincos_towardzero": +Function: "erfc": double: 1 idouble: 1 -ildouble: 2 -ldouble: 2 +ildouble: 1 +ldouble: 1 -Function: "sincos_upward": +Function: "exp": double: 1 idouble: 1 -ildouble: 3 -ldouble: 3 - -Function: "sincos_vlen16": -float: 1 -Function: "sincos_vlen2": -double: 2 - -Function: "sincos_vlen4": -double: 2 -float: 1 - -Function: "sincos_vlen4_avx2": -double: 2 +Function: "exp10": +double: 6 +float: 2 +idouble: 6 +ifloat: 2 +ildouble: 8 +ldouble: 8 -Function: "sincos_vlen8": +Function: "expm1": double: 1 float: 1 +idouble: 1 +ifloat: 1 + +Function: "gamma": +ildouble: 1 +ldouble: 1 -Function: "sincos_vlen8_avx2": +Function: "hypot": float: 1 +ifloat: 1 -Function: "sinh": +Function: "j0": double: 2 float: 2 idouble: 2 ifloat: 2 +ildouble: 1 +ldouble: 1 + +Function: "j1": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 1 +ldouble: 1 + +Function: "jn": +double: 4 +float: 4 +idouble: 4 +ifloat: 4 ildouble: 2 ldouble: 2 -Function: "sinh_downward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: "sinh_towardzero": -double: 2 +Function: "lgamma": +double: 1 float: 2 -idouble: 2 +idouble: 1 ifloat: 2 -ildouble: 4 -ldouble: 4 - -Function: "sinh_upward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 5 -ldouble: 5 +ildouble: 1 +ldouble: 1 -Function: "tan": +Function: "log": float: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 -Function: "tan_downward": +Function: "log10": double: 1 float: 2 idouble: 1 ifloat: 2 -ildouble: 3 -ldouble: 3 +ildouble: 1 +ldouble: 1 -Function: "tan_towardzero": -double: 1 +Function: "log1p": float: 1 -idouble: 1 ifloat: 1 -ildouble: 3 -ldouble: 3 -Function: "tan_upward": +Function: "nexttoward": +double: 1 +idouble: 1 + +Function: "sincos": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 2 -ldouble: 2 - -Function: "tanh": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 3 -ldouble: 3 - -Function: "tanh_downward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 4 -ldouble: 4 - -Function: "tanh_towardzero": -double: 2 -float: 2 -idouble: 2 -ifloat: 2 -ildouble: 3 -ldouble: 3 +ildouble: 1 +ldouble: 1 -Function: "tanh_upward": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 4 -ldouble: 4 +Function: "tan": +double: 1 +idouble: 1 Function: "tgamma": -double: 5 -float: 5 -idouble: 5 -ifloat: 5 -ildouble: 5 -ldouble: 5 - -Function: "tgamma_downward": -double: 5 -float: 5 -idouble: 5 -ifloat: 5 -ildouble: 5 -ldouble: 5 - -Function: "tgamma_towardzero": -double: 5 -float: 5 -idouble: 5 -ifloat: 5 -ildouble: 5 -ldouble: 5 - -Function: "tgamma_upward": -double: 5 -float: 5 -idouble: 5 -ifloat: 5 -ildouble: 5 -ldouble: 5 +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 Function: "y0": double: 2 @@ -2265,91 +1309,19 @@ ifloat: 1 ildouble: 1 ldouble: 1 -Function: "y0_downward": -double: 3 -float: 4 -idouble: 3 -ifloat: 4 -ildouble: 5 -ldouble: 5 - -Function: "y0_towardzero": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: "y0_upward": -double: 3 -float: 5 -idouble: 3 -ifloat: 5 -ildouble: 3 -ldouble: 3 - Function: "y1": double: 3 float: 2 idouble: 3 ifloat: 2 -ildouble: 2 -ldouble: 2 - -Function: "y1_downward": -double: 3 -float: 2 -idouble: 3 -ifloat: 2 -ildouble: 7 -ldouble: 7 +ildouble: 1 +ldouble: 1 -Function: "y1_towardzero": +Function: "yn": double: 3 float: 2 idouble: 3 ifloat: 2 -ildouble: 5 -ldouble: 5 - -Function: "y1_upward": -double: 7 -float: 2 -idouble: 7 -ifloat: 2 -ildouble: 7 -ldouble: 7 - -Function: "yn": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 4 -ldouble: 4 - -Function: "yn_downward": -double: 3 -float: 4 -idouble: 3 -ifloat: 4 -ildouble: 5 -ldouble: 5 - -Function: "yn_towardzero": -double: 3 -float: 3 -idouble: 3 -ifloat: 3 -ildouble: 5 -ldouble: 5 - -Function: "yn_upward": -double: 4 -float: 5 -idouble: 4 -ifloat: 5 ildouble: 4 ldouble: 4 |