libm-test-ulps

glibc 2.9,最新版的C语言库函数

# Begin of automatic generation

# asin
Test "asin (-0.5) == -pi/6":
float: 2
ifloat: 2
Test "asin (0.5) == pi/6":
float: 2
ifloat: 2
Test "asin (0.7) == 0.7753974966107530637":
double: 1
float: 2
idouble: 1
ifloat: 2

# atan2
Test "atan2 (0.7, -1.0) == 2.530866689200584621918884506789267":
float: 3
ifloat: 3
Test "atan2 (-0.7, -1.0) == -2.530866689200584621918884506789267":
float: 3
ifloat: 3
Test "atan2 (1.4, -0.93) == 2.1571487668237843754887415992772736":
float: 4
ifloat: 4

# atanh
Test "atanh (0.7) == 0.8673005276940531944":
double: 1
idouble: 1

# cabs
Test "cabs (-0.7 + 12.4 i) == 12.419742348374220601176836866763271":
float: 1
ifloat: 1
Test "cabs (-0.7 - 12.4 i) == 12.419742348374220601176836866763271":
float: 1
ifloat: 1
Test "cabs (-12.4 + 0.7 i) == 12.419742348374220601176836866763271":
float: 1
ifloat: 1
Test "cabs (-12.4 - 0.7 i) == 12.419742348374220601176836866763271":
float: 1
ifloat: 1
Test "cabs (0.7 + 1.2 i) == 1.3892443989449804508432547041028554":
double: 1
idouble: 1
Test "cabs (0.7 + 12.4 i) == 12.419742348374220601176836866763271":
float: 1
ifloat: 1

# cacos
Test "Real part of: cacos (0.7 + 1.2 i) == 1.1351827477151551088992008271819053 - 1.0927647857577371459105272080819308 i":
double: 1
float: 1
idouble: 1
ifloat: 1
Test "Imaginary part of: cacos (0.7 + 1.2 i) == 1.1351827477151551088992008271819053 - 1.0927647857577371459105272080819308 i":
float: 1
ifloat: 1

# cacosh
Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i":
double: 1
float: 7
idouble: 1
ifloat: 7
Test "Imaginary part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i":
double: 1
float: 3
idouble: 1
ifloat: 3
Test "Real part of: cacosh (0.7 + 1.2 i) == 1.0927647857577371459105272080819308 + 1.1351827477151551088992008271819053 i":
double: 1
float: 1
idouble: 1
ifloat: 1

# casin
Test "Real part of: casin (0.7 + 1.2 i) == 0.4356135790797415103321208644578462 + 1.0927647857577371459105272080819308 i":
double: 3
float: 2
idouble: 3
ifloat: 2
Test "Imaginary part of: casin (0.7 + 1.2 i) == 0.4356135790797415103321208644578462 + 1.0927647857577371459105272080819308 i":
float: 1
ifloat: 1

# casinh
Test "Real part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i":
double: 5
float: 1
idouble: 5
ifloat: 1
Test "Imaginary part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i":
double: 3
float: 6
idouble: 3
ifloat: 6
Test "Real part of: casinh (0.7 + 1.2 i) == 0.97865459559367387689317593222160964 + 0.91135418953156011567903546856170941 i":
double: 1
idouble: 1
Test "Imaginary part of: casinh (0.7 + 1.2 i) == 0.97865459559367387689317593222160964 + 0.91135418953156011567903546856170941 i":
float: 1
ifloat: 1

# 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: 1
idouble: 1
ifloat: 1
Test "Real part of: catan (0.7 + 1.2 i) == 1.0785743834118921877443707996386368 + 0.57705737765343067644394541889341712 i":
float: 4
ifloat: 4
Test "Imaginary part of: catan (0.7 + 1.2 i) == 1.0785743834118921877443707996386368 + 0.57705737765343067644394541889341712 i":
double: 1
idouble: 1

# catanh
Test "Real part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i":
double: 4
idouble: 4
Test "Imaginary part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i":
float: 4
ifloat: 4
Test "Real part of: catanh (0.7 + 1.2 i) == 0.2600749516525135959200648705635915 + 0.97024030779509898497385130162655963 i":
float: 1
ifloat: 1
Test "Imaginary part of: catanh (0.7 + 1.2 i) == 0.2600749516525135959200648705635915 + 0.97024030779509898497385130162655963 i":
double: 1
float: 6
idouble: 1
ifloat: 6

# cbrt
Test "cbrt (-27.0) == -3.0":
double: 1
idouble: 1
Test "cbrt (0.970299) == 0.99":
double: 1
idouble: 1

# ccos
Test "Imaginary part of: ccos (-2 - 3 i) == -4.18962569096880723013255501961597373 - 9.10922789375533659797919726277886212 i":
float: 1
ifloat: 1
Test "Real part of: ccos (0.7 + 1.2 i) == 1.3848657645312111080 - 0.97242170335830028619 i":
double: 1
idouble: 1
Test "Imaginary part of: ccos (0.7 + 1.2 i) == 1.3848657645312111080 - 0.97242170335830028619 i":
double: 1
idouble: 1

# 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":
float: 1
ifloat: 1
Test "Real part of: ccosh (0.7 + 1.2 i) == 0.4548202223691477654 + 0.7070296600921537682 i":
double: 1
float: 1
idouble: 1
ifloat: 1
Test "Imaginary part of: ccosh (0.7 + 1.2 i) == 0.4548202223691477654 + 0.7070296600921537682 i":
double: 1
idouble: 1

# 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 (0.7 + 1.2 i) == 0.7296989091503236012 + 1.8768962328348102821 i":
double: 1
float: 1
idouble: 1
ifloat: 1
Test "Imaginary part of: cexp (0.7 + 1.2 i) == 0.7296989091503236012 + 1.8768962328348102821 i":
float: 1
ifloat: 1

# clog
Test "Imaginary part of: clog (-2 - 3 i) == 1.2824746787307683680267437207826593 - 2.1587989303424641704769327722648368 i":
double: 1
float: 3
idouble: 1
ifloat: 3

# clog10
Test "Imaginary part of: clog10 (-0 + inf i) == inf + pi/2*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (-0 - inf i) == inf - pi/2*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (-2 - 3 i) == 0.556971676153418384603252578971164214 - 0.937554462986374708541507952140189646 i":
double: 1
float: 5
idouble: 1
ifloat: 5
Test "Imaginary part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (-3 - inf i) == inf - pi/2*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (-inf + 0 i) == inf + pi*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (-inf + 1 i) == inf + pi*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (-inf - 0 i) == inf - pi*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (-inf - 1 i) == inf - pi*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (0 + inf i) == inf + pi/2*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (0 - inf i) == inf - pi/2*log10(e) i":
float: 1
ifloat: 1
Test "Real part of: clog10 (0.7 + 1.2 i) == 0.1427786545038868803 + 0.4528483579352493248 i":
double: 1
float: 1
idouble: 1
ifloat: 1
Test "Imaginary part of: clog10 (0.7 + 1.2 i) == 0.1427786545038868803 + 0.4528483579352493248 i":
double: 1
idouble: 1
Test "Imaginary part of: clog10 (3 + inf i) == inf + pi/2*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (3 - inf i) == inf - pi/2*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (inf + inf i) == inf + pi/4*log10(e) i":
float: 1
ifloat: 1
Test "Imaginary part of: clog10 (inf - inf i) == inf - pi/4*log10(e) i":
float: 1
ifloat: 1

# cos
Test "cos (0.7) == 0.7648421872844884262":
double: 1
float: 1
idouble: 1
ifloat: 1
Test "cos (M_PI_6l * 2.0) == 0.5":
double: 1
float: 0.5
idouble: 1
ifloat: 0.5
Test "cos (M_PI_6l * 4.0) == -0.5":
double: 2
float: 1
idouble: 2
ifloat: 1
Test "cos (pi/2) == 0":
double: 0.2758
float: 0.3667
idouble: 0.2758
ifloat: 0.3667

# cpow
Test "Real part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i":
double: 1
float: 4
idouble: 1
ifloat: 4
Test "Imaginary part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i":
float: 2
ifloat: 2
Test "Imaginary part of: cpow (e + 0 i, 0 + 2 * M_PIl i) == 1.0 + 0.0 i":
double: 1.1031
float: 1.5
idouble: 1.1031
ifloat: 1.5

# csin
Test "Imaginary part of: csin (0.7 + 1.2 i) == 1.1664563419657581376 + 1.1544997246948547371 i":
float: 1
ifloat: 1

# csinh
Test "Imaginary part of: csinh (-2 - 3 i) == 3.59056458998577995201256544779481679 - 0.530921086248519805267040090660676560 i":
double: 1
idouble: 1
Test "Real part of: csinh (0.7 + 1.2 i) == 0.27487868678117583582 + 1.1698665727426565139 i":
float: 1
ifloat: 1
Test "Imaginary part of: csinh (0.7 + 1.2 i) == 0.27487868678117583582 + 1.1698665727426565139 i":
float: 1
ifloat: 1

# csqrt
Test "Real part of: csqrt (-2 + 3 i) == 0.89597747612983812471573375529004348 + 1.6741492280355400404480393008490519 i":
float: 1
ifloat: 1
Test "Real part of: csqrt (-2 - 3 i) == 0.89597747612983812471573375529004348 - 1.6741492280355400404480393008490519 i":
float: 1
ifloat: 1
Test "Real part of: csqrt (0.7 + 1.2 i) == 1.022067610030026450706487883081139 + 0.58704531296356521154977678719838035 i":
double: 1
float: 1
idouble: 1
ifloat: 1
Test "Imaginary part of: csqrt (0.7 + 1.2 i) == 1.022067610030026450706487883081139 + 0.58704531296356521154977678719838035 i":
float: 1
ifloat: 1

# ctan
Test "Real part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i":
double: 1
idouble: 1
Test "Real part of: ctan (0.7 + 1.2 i) == 0.1720734197630349001 + 0.9544807059989405538 i":
float: 1
ifloat: 1
Test "Imaginary part of: ctan (0.7 + 1.2 i) == 0.1720734197630349001 + 0.9544807059989405538 i":
double: 1
float: 1
idouble: 1
ifloat: 1

# ctanh
Test "Real part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i":
double: 1
float: 2
idouble: 1
ifloat: 2
Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i":
float: 1
ifloat: 1
Test "Real part of: ctanh (0.7 + 1.2 i) == 1.3472197399061191630 + 0.4778641038326365540 i":
double: 2
float: 1
idouble: 2
ifloat: 1
Test "Imaginary part of: ctanh (0.7 + 1.2 i) == 1.3472197399061191630 + 0.4778641038326365540 i":
double: 2
float: 1
idouble: 2
ifloat: 1

# erfc
Test "erfc (0.7) == 0.32219880616258152702":
double: 1
idouble: 1
Test "erfc (1.2) == 0.089686021770364619762":
double: 2
float: 2
idouble: 2
ifloat: 2
Test "erfc (2.0) == 0.0046777349810472658379":
double: 1
idouble: 1
Test "erfc (4.1) == 0.67000276540848983727e-8":
double: 24
float: 12
idouble: 24
ifloat: 12

# exp10
Test "exp10 (-1) == 0.1":
double: 2
float: 1
idouble: 2
ifloat: 1
Test "exp10 (0.7) == 5.0118723362727228500":
float: 1
ifloat: 1
Test "exp10 (3) == 1000":
double: 6
float: 2
idouble: 6
ifloat: 2

# expm1
Test "expm1 (1) == M_El - 1.0":
float: 1
ifloat: 1

# fmod
Test "fmod (-6.5, -2.3) == -1.9":
double: 2
float: 1
idouble: 2
ifloat: 1
Test "fmod (-6.5, 2.3) == -1.9":
double: 2
float: 1
idouble: 2
ifloat: 1
Test "fmod (6.5, -2.3) == 1.9":
double: 2
float: 1
idouble: 2
ifloat: 1
Test "fmod (6.5, 2.3) == 1.9":
double: 2
float: 1
idouble: 2
ifloat: 1

# 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, 1.2) == 1.3892443989449804508432547041028554":
double: 1
idouble: 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 (10.0) == -0.24593576445134833520":
double: 2
float: 1
idouble: 2
ifloat: 1
Test "j0 (2.0) == 0.22389077914123566805":
float: 2
ifloat: 2
Test "j0 (8.0) == 0.17165080713755390609":
float: 1
ifloat: 1

# j1
Test "j1 (10.0) == 0.043472746168861436670":
float: 2
ifloat: 2
Test "j1 (2.0) == 0.57672480775687338720":
double: 1
idouble: 1
Test "j1 (8.0) == 0.23463634685391462438":
double: 1
idouble: 1

# jn
Test "jn (0, 10.0) == -0.24593576445134833520":
double: 2
float: 1
idouble: 2
ifloat: 1
Test "jn (0, 2.0) == 0.22389077914123566805":
float: 2
ifloat: 2
Test "jn (0, 8.0) == 0.17165080713755390609":
float: 1
ifloat: 1
Test "jn (1, 10.0) == 0.043472746168861436670":
float: 2
ifloat: 2
Test "jn (1, 2.0) == 0.57672480775687338720":
double: 1
idouble: 1
Test "jn (1, 8.0) == 0.23463634685391462438":
double: 1
idouble: 1
Test "jn (10, 0.1) == 0.26905328954342155795e-19":
double: 6
float: 4
idouble: 6
ifloat: 4
Test "jn (10, 0.7) == 0.75175911502153953928e-11":
double: 3
float: 1
idouble: 3
ifloat: 1
Test "jn (10, 10.0) == 0.20748610663335885770":
double: 4
float: 3
idouble: 4
ifloat: 3
Test "jn (10, 2.0) == 0.25153862827167367096e-6":
float: 4
ifloat: 4
Test "jn (3, 0.1) == 0.000020820315754756261429":
double: 1
idouble: 1
Test "jn (3, 0.7) == 0.0069296548267508408077":
float: 1
ifloat: 1
Test "jn (3, 10.0) == 0.058379379305186812343":
double: 3
float: 1
idouble: 3
ifloat: 1
Test "jn (3, 2.0) == 0.12894324947440205110":
double: 1
float: 2
idouble: 1
ifloat: 2

# lgamma
Test "lgamma (0.7) == 0.260867246531666514385732417016759578":
double: 1
float: 1
idouble: 1
ifloat: 1
Test "lgamma (1.2) == -0.853740900033158497197028392998854470e-1":
double: 1
float: 2
idouble: 1
ifloat: 2

# log
Test "log (0.7) == -0.35667494393873237891263871124118447":
double: 1
float: 1
idouble: 1
ifloat: 1

# log10
Test "log10 (0.7) == -0.15490195998574316929":
double: 1
float: 1
idouble: 1
ifloat: 1
Test "log10 (e) == log10(e)":
float: 1