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| author | Andreas Krebbel <Andreas.Krebbel@de.ibm.com> | 2012-05-04 10:05:41 +0200 |
|---|---|---|
| committer | Andreas Jaeger <aj@suse.de> | 2012-05-04 10:05:41 +0200 |
| commit | 5197d9c2b443eb6ae89ad9ae1eb8f655650d8d9f (patch) | |
| tree | 0051c4c0a3a73d546801d12c6507c732df55ace4 | |
| parent | f0c1dedf0df71b4029d9b0ce8ba19d8af2a60af5 (diff) | |
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Update s390 libm-test-ulps
| -rw-r--r-- | ChangeLog | 4 | ||||
| -rw-r--r-- | sysdeps/s390/fpu/libm-test-ulps | 1545 |
2 files changed, 1415 insertions, 134 deletions
@@ -1,3 +1,7 @@ +2012-05-03 Andreas Krebbel <Andreas.Krebbel@de.ibm.com> + + * sysdeps/s390/fpu/libm-test-ulps: Update. + 2012-05-03 Andreas Jaeger <aj@suse.de> * malloc/mcheck.c (mcheck): Add barrier so that malloc/free pair diff --git a/sysdeps/s390/fpu/libm-test-ulps b/sysdeps/s390/fpu/libm-test-ulps index fb89731325..9dace19c17 100644 --- a/sysdeps/s390/fpu/libm-test-ulps +++ b/sysdeps/s390/fpu/libm-test-ulps @@ -1,5 +1,69 @@ # Begin of automatic generation +# acos_downward +Test "acos_downward (-0.5) == M_PI_6l*4.0": +double: 1 +idouble: 1 +Test "acos_downward (0.5) == M_PI_6l*2.0": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# acos_towardzero +Test "acos_towardzero (-0.5) == M_PI_6l*4.0": +double: 1 +idouble: 1 +Test "acos_towardzero (0.5) == M_PI_6l*2.0": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# asin_downward +Test "asin_downward (-0.5) == -pi/6": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "asin_downward (-1.0) == -pi/2": +ildouble: 1 +ldouble: 1 +Test "asin_downward (0.5) == pi/6": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "asin_downward (1.0) == pi/2": +float: 1 +ifloat: 1 + +# asin_towardzero +Test "asin_towardzero (-0.5) == -pi/6": +double: 1 +idouble: 1 +Test "asin_towardzero (-1.0) == -pi/2": +float: 1 +ifloat: 1 +Test "asin_towardzero (0.5) == pi/6": +double: 1 +idouble: 1 +Test "asin_towardzero (1.0) == pi/2": +float: 1 +ifloat: 1 + +# asin_upward +Test "asin_upward (-1.0) == -pi/2": +float: 1 +ifloat: 1 +Test "asin_upward (1.0) == pi/2": +ildouble: 1 +ldouble: 1 + # atan2 Test "atan2 (-0.00756827042671106339, -.001792735857538728036) == -1.80338464113663849327153994379639112": ildouble: 1 @@ -26,25 +90,295 @@ float: 1 ifloat: 1 # cacos +Test "Imaginary part of: cacos (+0 + 0.5 i) == pi/2 - 0.4812118250596034474977589134243684231352 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacos (+0 + 1.0 i) == pi/2 - 0.8813735870195430252326093249797923090282 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 +Test "Imaginary part of: cacos (+0 + 1.5 i) == pi/2 - 1.194763217287109304111930828519090523536 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: cacos (+0 - 0.5 i) == pi/2 + 0.4812118250596034474977589134243684231352 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacos (+0 - 1.0 i) == pi/2 + 0.8813735870195430252326093249797923090282 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacos (+0 - 1.5 i) == pi/2 + 1.194763217287109304111930828519090523536 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacos (-0 + 0.5 i) == pi/2 - 0.4812118250596034474977589134243684231352 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacos (-0 + 1.0 i) == pi/2 - 0.8813735870195430252326093249797923090282 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 +Test "Imaginary part of: cacos (-0 + 1.5 i) == pi/2 - 1.194763217287109304111930828519090523536 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: cacos (-0 - 0.5 i) == pi/2 + 0.4812118250596034474977589134243684231352 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacos (-0 - 1.0 i) == pi/2 + 0.8813735870195430252326093249797923090282 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacos (-0 - 1.5 i) == pi/2 + 1.194763217287109304111930828519090523536 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacos (-1.5 + +0 i) == pi - 0.9624236501192068949955178268487368462704 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacos (0.5 + +0 i) == 1.047197551196597746154214461093167628066 - 0 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacos (0.5 - 0 i) == 1.047197551196597746154214461093167628066 + +0 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 Test "Imaginary part of: cacos (0.75 + 1.25 i) == 1.11752014915610270578240049553777969 - 1.13239363160530819522266333696834467 i": ildouble: 1 ldouble: 1 +Test "Imaginary part of: cacos (1.5 + +0 i) == +0 - 0.9624236501192068949955178268487368462704 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 # cacosh -Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": +Test "Real part of: cacosh (+0 + 0.5 i) == 0.4812118250596034474977589134243684231352 + pi/2 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (+0 + 1.0 i) == 0.8813735870195430252326093249797923090282 + pi/2 i": double: 1 -float: 7 +float: 1 idouble: 1 -ifloat: 7 -Test "Imaginary part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (+0 + 1.5 i) == 1.194763217287109304111930828519090523536 + pi/2 i": double: 1 -float: 3 idouble: 1 -ifloat: 3 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (+0 - 0.5 i) == 0.4812118250596034474977589134243684231352 - pi/2 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (+0 - 1.0 i) == 0.8813735870195430252326093249797923090282 - pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (+0 - 1.5 i) == 1.194763217287109304111930828519090523536 - pi/2 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (-0 + 0.5 i) == 0.4812118250596034474977589134243684231352 + pi/2 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (-0 + 1.0 i) == 0.8813735870195430252326093249797923090282 + pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (-0 + 1.5 i) == 1.194763217287109304111930828519090523536 + pi/2 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (-0 - 0.5 i) == 0.4812118250596034474977589134243684231352 - pi/2 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (-0 - 1.0 i) == 0.8813735870195430252326093249797923090282 - pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (-0 - 1.5 i) == 1.194763217287109304111930828519090523536 - pi/2 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacosh (-0.5 + +0 i) == +0 + 2.094395102393195492308428922186335256131 i": +double: 1 +idouble: 1 +Test "Imaginary part of: cacosh (-0.5 - 0 i) == +0 - 2.094395102393195492308428922186335256131 i": +double: 1 +idouble: 1 +Test "Real part of: cacosh (-1.5 + +0 i) == 0.9624236501192068949955178268487368462704 + pi i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (-1.5 - 0 i) == 0.9624236501192068949955178268487368462704 - pi i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (1.5 + +0 i) == 0.9624236501192068949955178268487368462704 + +0 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cacosh (1.5 - 0 i) == 0.9624236501192068949955178268487368462704 - 0 i": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 # casin +Test "Imaginary part of: casin (+0 + 0.5 i) == +0 + 0.4812118250596034474977589134243684231352 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: casin (+0 + 1.0 i) == +0 + 0.8813735870195430252326093249797923090282 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 +Test "Imaginary part of: casin (+0 + 1.5 i) == +0 + 1.194763217287109304111930828519090523536 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: casin (+0 - 0.5 i) == +0 - 0.4812118250596034474977589134243684231352 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: casin (+0 - 1.0 i) == +0 - 0.8813735870195430252326093249797923090282 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: casin (+0 - 1.5 i) == +0 - 1.194763217287109304111930828519090523536 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: casin (-0 + 0.5 i) == -0 + 0.4812118250596034474977589134243684231352 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: casin (-0 + 1.0 i) == -0 + 0.8813735870195430252326093249797923090282 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 +Test "Imaginary part of: casin (-0 + 1.5 i) == -0 + 1.194763217287109304111930828519090523536 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: casin (-0 - 0.5 i) == -0 - 0.4812118250596034474977589134243684231352 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: casin (-0 - 1.0 i) == -0 - 0.8813735870195430252326093249797923090282 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: casin (-0 - 1.5 i) == -0 - 1.194763217287109304111930828519090523536 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: casin (-1.5 + +0 i) == -pi/2 + 0.9624236501192068949955178268487368462704 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 Test "Real part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i": double: 1 float: 1 @@ -53,8 +387,71 @@ ifloat: 1 Test "Imaginary part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i": ildouble: 1 ldouble: 1 +Test "Imaginary part of: casin (1.5 + +0 i) == pi/2 + 0.9624236501192068949955178268487368462704 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 # casinh +Test "Real part of: casinh (-0 + 1.5 i) == -0.9624236501192068949955178268487368462704 + pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: casinh (-0 - 1.5 i) == -0.9624236501192068949955178268487368462704 - pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: casinh (-0.5 + +0 i) == -0.4812118250596034474977589134243684231352 + +0 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: casinh (-0.5 - 0 i) == -0.4812118250596034474977589134243684231352 - 0 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: casinh (-1.0 + +0 i) == -0.8813735870195430252326093249797923090282 + +0 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 +Test "Real part of: casinh (-1.0 - 0 i) == -0.8813735870195430252326093249797923090282 - 0 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 +Test "Real part of: casinh (-1.5 + +0 i) == -1.194763217287109304111930828519090523536 + +0 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Real part of: casinh (-1.5 - 0 i) == -1.194763217287109304111930828519090523536 - 0 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 Test "Real part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i": double: 5 float: 1 @@ -69,6 +466,16 @@ idouble: 3 ifloat: 6 ildouble: 2 ldouble: 2 +Test "Real part of: casinh (0.5 + +0 i) == 0.4812118250596034474977589134243684231352 + +0 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: casinh (0.5 - 0 i) == 0.4812118250596034474977589134243684231352 - 0 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 Test "Real part of: casinh (0.75 + 1.25 i) == 1.03171853444778027336364058631006594 + 0.911738290968487636358489564316731207 i": float: 1 ifloat: 1 @@ -81,19 +488,37 @@ idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 +Test "Real part of: casinh (1.0 + +0 i) == 0.8813735870195430252326093249797923090282 + +0 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: casinh (1.0 - 0 i) == 0.8813735870195430252326093249797923090282 - 0 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: casinh (1.5 + +0 i) == 1.194763217287109304111930828519090523536 + +0 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: casinh (1.5 - 0 i) == 1.194763217287109304111930828519090523536 - 0 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 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 (0.75 + 1.25 i) == 1.10714871779409050301706546017853704 + 0.549306144334054845697622618461262852 i": -float: 4 -ifloat: 4 Test "Imaginary part of: catan (0.75 + 1.25 i) == 1.10714871779409050301706546017853704 + 0.549306144334054845697622618461262852 i": ildouble: 1 ldouble: 1 @@ -102,17 +527,12 @@ ldouble: 1 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 (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": double: 1 idouble: 1 ildouble: 1 ldouble: 1 Test "Imaginary part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": -float: 6 -ifloat: 6 ildouble: 1 ldouble: 1 @@ -169,6 +589,9 @@ float: 1 ifloat: 1 # cexp +Test "Imaginary part of: cexp (-10000 + 0x1p16383 i) == 1.045876464564882298442774542991176546722e-4343 + 4.421154026488516836023811173959413420548e-4344 i": +ildouble: 1 +ldouble: 1 Test "Real part of: cexp (-2.0 - 3.0 i) == -0.13398091492954261346140525546115575 - 0.019098516261135196432576240858800925 i": ildouble: 1 ldouble: 1 @@ -177,22 +600,71 @@ float: 1 ifloat: 1 ildouble: 1 ldouble: 1 +Test "Imaginary part of: cexp (-720 + 0.75 i) == 1.486960657116368433685753325516638551722e-313 + 1.385247284245720590980701226843815229385e-313 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cexp (-95 + 0.75 i) == 4.039714446238306526889476684000081624047e-42 + 3.763383677300535390271646960780570275931e-42 i": +double: 1 +idouble: 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 +Test "Imaginary part of: cexp (1440 + 0x1p-1074 i) == inf + 1.196295853897226111293303155636183216483e302 i plus overflow exception": +double: 1 +idouble: 1 +Test "Imaginary part of: cexp (22730 + 0x1p-16434 i) == inf + 2.435706297811211974162115164702304105374e4924 i plus overflow exception": +ildouble: 1 +ldouble: 1 +Test "Real part of: cexp (50 + 0x1p127 i) == 4.053997150228616856622417636046265337193e21 + 3.232070315463388524466674772633810238819e21 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cexp (50 + 0x1p127 i) == 4.053997150228616856622417636046265337193e21 + 3.232070315463388524466674772633810238819e21 i": +double: 1 +idouble: 1 +Test "Real part of: cexp (500 + 0x1p1023 i) == -1.159886268932754433233243794561351783426e217 + 7.904017694554466595359379965081774849708e216 i": +double: 1 +idouble: 1 +Test "Real part of: cexp (709.8125 + 0.75 i) == 1.355121963080879535248452862759108365762e308 + 1.262426823598609432507811340856186873507e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: cexp (709.8125 + 0.75 i) == 1.355121963080879535248452862759108365762e308 + 1.262426823598609432507811340856186873507e308 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cexp (88.75 + 0.75 i) == 2.558360358486542817001900410314204322891e38 + 2.383359453227311447654736314679677655100e38 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cexp (88.75 + 0.75 i) == 2.558360358486542817001900410314204322891e38 + 2.383359453227311447654736314679677655100e38 i": +float: 2 +ifloat: 2 +ildouble: 1 +ldouble: 1 # clog -Test "Imaginary part of: clog (-2 - 3 i) == 1.2824746787307683680267437207826593 - 2.1587989303424641704769327722648368 i": -float: 3 -ifloat: 3 Test "Real part of: clog (0.75 + 1.25 i) == 0.376885901188190075998919126749298416 + 1.03037682652431246378774332703115153 i": float: 1 ifloat: 1 ildouble: 1 ldouble: 1 +Test "Real part of: clog (0x1.fp+16383 + 0x1.fp+16383 i) == 11356.83823118610934184548269774874545400 + pi/4 i": +ildouble: 1 +ldouble: 1 +Test "Real part of: clog (0x1p-1074 + 0x1p-1074 i) == -744.0934983311012896593986823853525458290 + pi/4 i": +double: 1 +idouble: 1 +Test "Real part of: clog (0x1p-147 + 0x1p-147 i) == -101.5460619520319878296245057936228672231 + pi/4 i": +float: 1 +ifloat: 1 # clog10 Test "Imaginary part of: clog10 (-0 + inf i) == inf + pi/2*log10(e) i": @@ -210,9 +682,7 @@ ildouble: 1 ldouble: 1 Test "Imaginary part of: clog10 (-2 - 3 i) == 0.556971676153418384603252578971164214 - 0.937554462986374708541507952140189646 i": double: 1 -float: 5 idouble: 1 -ifloat: 5 ildouble: 1 ldouble: 1 Test "Imaginary part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i": @@ -264,6 +734,42 @@ ifloat: 1 Test "Imaginary part of: clog10 (0.75 + 1.25 i) == 0.163679467193165171449476605077428975 + 0.447486970040493067069984724340855636 i": ildouble: 1 ldouble: 1 +Test "Imaginary part of: clog10 (0x1.fffffep+127 + 0x1.fffffep+127 i) == 38.68235441693561449174780668781319348761 + pi/4*log10(e) i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Real part of: clog10 (0x1.fffffep+127 + 1.0 i) == 38.53183941910362389414093724045094697423 + 1.276276851248440096917018665609900318458e-39 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: clog10 (0x1.fffffffffffffp+1023 + 0x1.fffffffffffffp+1023 i) == 308.4052305577487344482591243175787477115 + pi/4*log10(e) i": +double: 1 +idouble: 1 +Test "Real part of: clog10 (0x1.fp+16383 + 0x1.fp+16383 i) == 4932.212175672014259683102930239951947672 + pi/4*log10(e) i": +ildouble: 1 +ldouble: 1 +Test "Real part of: clog10 (0x1.fp+16383 + 0x1p+16383 i) == 4932.112944269463028900262609694408579449 + 0.2069271710841128115912940666587802677383 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: clog10 (0x1p-1073 + 0x1p-1073 i) == -322.8546703496198318667349645920187712089 + pi/4*log10(e) i": +double: 1 +idouble: 1 +Test "Real part of: clog10 (0x1p-1074 + 0x1p-1074 i) == -323.1557003452838130619487034867432642357 + pi/4*log10(e) i": +double: 1 +idouble: 1 +Test "Imaginary part of: clog10 (0x1p-1074 + 0x1p-1074 i) == -323.1557003452838130619487034867432642357 + pi/4*log10(e) i": +double: 1 +idouble: 1 +Test "Imaginary part of: clog10 (0x1p-147 + 0x1p-147 i) == -44.10089436477324509881274807713822842154 + pi/4*log10(e) i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: clog10 (0x1p-149 + 0x1p-149 i) == -44.70295435610120748924022586658721447508 + pi/4*log10(e) i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 Test "Imaginary part of: clog10 (3 + inf i) == inf + pi/2*log10(e) i": double: 1 float: 1 @@ -288,11 +794,7 @@ ifloat: 1 # cos Test "cos (M_PI_6l * 2.0) == 0.5": double: 1 -float: 1 idouble: 1 -ifloat: 1 -ildouble: 1 -ldouble: 1 Test "cos (M_PI_6l * 4.0) == -0.5": double: 2 float: 1 @@ -300,11 +802,155 @@ idouble: 2 ifloat: 1 ildouble: 1 ldouble: 1 -Test "cos (pi/2) == 0": -double: 1 + +# cos_downward +Test "cos_downward (1) == 0.5403023058681397174009366074429766037323": +float: 1 +ifloat: 1 +Test "cos_downward (10) == -0.8390715290764524522588639478240648345199": +ildouble: 1 +ldouble: 1 +Test "cos_downward (2) == -0.4161468365471423869975682295007621897660": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cos_downward (3) == -0.9899924966004454572715727947312613023937": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cos_downward (4) == -0.6536436208636119146391681830977503814241": +float: 1 +ifloat: 1 +Test "cos_downward (5) == 0.2836621854632262644666391715135573083344": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cos_downward (6) == 0.9601702866503660205456522979229244054519": +ildouble: 1 +ldouble: 1 +Test "cos_downward (7) == 0.7539022543433046381411975217191820122183": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cos_downward (8) == -0.1455000338086135258688413818311946826093": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +# cos_tonearest +Test "cos_tonearest (7) == 0.7539022543433046381411975217191820122183": +float: 1 +ifloat: 1 + +# cos_towardzero +Test "cos_towardzero (10) == -0.8390715290764524522588639478240648345199": +ildouble: 1 +ldouble: 1 +Test "cos_towardzero (2) == -0.4161468365471423869975682295007621897660": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cos_towardzero (3) == -0.9899924966004454572715727947312613023937": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cos_towardzero (5) == 0.2836621854632262644666391715135573083344": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cos_towardzero (6) == 0.9601702866503660205456522979229244054519": +ildouble: 1 +ldouble: 1 +Test "cos_towardzero (7) == 0.7539022543433046381411975217191820122183": float: 1 -idouble: 1 ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cos_towardzero (8) == -0.1455000338086135258688413818311946826093": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +# cos_upward +Test "cos_upward (1) == 0.5403023058681397174009366074429766037323": +ildouble: 1 +ldouble: 1 +Test "cos_upward (10) == -0.8390715290764524522588639478240648345199": +float: 1 +ifloat: 1 +Test "cos_upward (4) == -0.6536436208636119146391681830977503814241": +ildouble: 1 +ldouble: 1 +Test "cos_upward (6) == 0.9601702866503660205456522979229244054519": +float: 1 +ifloat: 1 +Test "cos_upward (7) == 0.7539022543433046381411975217191820122183": +float: 1 +ifloat: 1 +Test "cos_upward (9) == -0.9111302618846769883682947111811653112463": +float: 2 +ifloat: 2 +ildouble: 1 +ldouble: 1 + +# cosh_downward +Test "cosh_downward (22) == 1792456423.065795780980053377632656584997": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cosh_downward (23) == 4872401723.124451300068625740569997090344": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cosh_downward (24) == 13244561064.92173614708845674912733665919": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# cosh_tonearest +Test "cosh_tonearest (22) == 1792456423.065795780980053377632656584997": +ildouble: 1 +ldouble: 1 + +# cosh_towardzero +Test "cosh_towardzero (22) == 1792456423.065795780980053377632656584997": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cosh_towardzero (23) == 4872401723.124451300068625740569997090344": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "cosh_towardzero (24) == 13244561064.92173614708845674912733665919": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# cosh_upward +Test "cosh_upward (22) == 1792456423.065795780980053377632656584997": +ildouble: 1 +ldouble: 1 +Test "cosh_upward (23) == 4872401723.124451300068625740569997090344": +ildouble: 1 +ldouble: 1 +Test "cosh_upward (24) == 13244561064.92173614708845674912733665919": +ildouble: 1 +ldouble: 1 # cpow Test "Real part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": @@ -321,9 +967,6 @@ ifloat: 4 ildouble: 4 ldouble: 4 Test "Real part of: cpow (0.75 + 1.25 i, 1.0 + 0.0 i) == 0.75 + 1.25 i": -ildouble: 2 -ldouble: 2 -Test "Imaginary 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": @@ -331,18 +974,18 @@ double: 2 float: 3 idouble: 2 ifloat: 3 -ildouble: 10 -ldouble: 10 +ildouble: 11 +ldouble: 11 Test "Real part of: cpow (2 + 0 i, 10 + 0 i) == 1024.0 + 0.0 i": ildouble: 2 ldouble: 2 Test "Real part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i": double: 1 -float: 5 +float: 4 idouble: 1 -ifloat: 5 -ildouble: 3 -ldouble: 3 +ifloat: 4 +ildouble: 2 +ldouble: 2 Test "Imaginary part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i": float: 2 ifloat: 2 @@ -390,21 +1033,97 @@ ldouble: 1 Test "Imaginary part of: csqrt (0.75 + 1.25 i) == 1.05065169626078392338656675760808326 + 0.594868882070379067881984030639932657 i": ildouble: 1 ldouble: 1 +Test "Imaginary part of: csqrt (0x1.fffffep+127 + 1.0 i) == 1.844674352395372953599975585936590505260e+19 + 2.710505511993121390769065968615872097053e-20 i": +float: 1 +ifloat: 1 +Test "Real part of: csqrt (0x1.fffffffffffffp+1023 + 0x1.fffffffffffffp+1023 i) == 1.473094556905565378990473658199034571917e+154 + 6.101757441282702188537080005372547713595e+153 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csqrt (0x1.fffffffffffffp+1023 + 0x1.fffffffffffffp+1023 i) == 1.473094556905565378990473658199034571917e+154 + 6.101757441282702188537080005372547713595e+153 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: csqrt (0x1.fffffffffffffp+1023 + 0x1p+1023 i) == 1.379778091031440685006200821918878702861e+154 + 3.257214233483129514781233066898042490248e+153 i": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: csqrt (0x1.fp+16383 + 0x1.fp+16383 i) == 1.179514222452201722651836720466795901016e+2466 + 4.885707879516577666702435054303191575148e+2465 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: csqrt (0x1.fp+16383 + 0x1.fp+16383 i) == 1.179514222452201722651836720466795901016e+2466 + 4.885707879516577666702435054303191575148e+2465 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: csqrt (0x1.fp+16383 + 0x1p+16383 i) == 1.106698967236475180613254276996359485630e+2466 + 2.687568007603946993388538156299100955642e+2465 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: csqrt (0x1p-16440 + 0x1p-16441 i) == 3.514690655930285351254618340783294558136e-2475 + 8.297059146828716918029689466551384219370e-2476 i": +ildouble: 1 +ldouble: 1 # ctan Test "Real part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": double: 1 idouble: 1 ildouble: 1 ldouble: 1 -Test "Imaginary part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": +Test "Real part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 Test "Imaginary part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": double: 1 +float: 1 idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Real part of: ctan (0x1p1023 + 1 i) == -0.2254627924997545057926782581695274244229 + 0.8786063118883068695462540226219865087189 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ctan (0x1p1023 + 1 i) == -0.2254627924997545057926782581695274244229 + 0.8786063118883068695462540226219865087189 i": +ildouble: 2 +ldouble: 2 +Test "Real part of: ctan (0x1p127 + 1 i) == 0.2446359391192790896381501310437708987204 + 0.9101334047676183761532873794426475906201 i": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: ctan (0x1p127 + 1 i) == 0.2446359391192790896381501310437708987204 + 0.9101334047676183761532873794426475906201 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: ctan (0x1p16383 + 1 i) == 0.1608598776370396607204448234354670036772 + 0.8133818522051542536316746743877629761488 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: ctan (0x1p16383 + 1 i) == 0.1608598776370396607204448234354670036772 + 0.8133818522051542536316746743877629761488 i": ildouble: 2 ldouble: 2 +Test "Real part of: ctan (0x3.243f6cp-1 + 0 i) == -2.287733242885645987394874673945769518150e7 + 0.0 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: ctan (1 + 355 i) == 8.140551093483276762350406321792653551513e-309 + 1.0 i": +ildouble: 2 +ldouble: 2 +Test "Real part of: ctan (1 + 365 i) == 1.677892637497921890115075995898773550884e-317 + 1.0 i": +ildouble: 1 +ldouble: 1 +Test "Real part of: ctan (1 + 45 i) == 1.490158918874345552942703234806348520895e-39 + 1.000000000000000000000000000000000000001 i": +ildouble: 2 +ldouble: 2 +Test "Real part of: ctan (1 + 47 i) == 2.729321264492904590777293425576722354636e-41 + 1.0 i": +ildouble: 1 +ldouble: 1 # ctanh Test "Real part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i": @@ -412,17 +1131,63 @@ double: 1 float: 2 idouble: 1 ifloat: 2 -ildouble: 1 -ldouble: 1 Test "Imaginary part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ctanh (0 + 0x3.243f6cp-1 i) == 0.0 - 2.287733242885645987394874673945769518150e7 i": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i": +double: 1 float: 1 +idouble: 1 ifloat: 1 +ildouble: 1 +ldouble: 1 Test "Real part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i": double: 1 idouble: 1 +Test "Imaginary part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i": +float: 1 +ifloat: 1 +Test "Real part of: ctanh (1 + 0x1p1023 i) == 0.8786063118883068695462540226219865087189 - 0.2254627924997545057926782581695274244229 i": +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: ctanh (1 + 0x1p1023 i) == 0.8786063118883068695462540226219865087189 - 0.2254627924997545057926782581695274244229 i": +double: 1 +idouble: 1 +Test "Real part of: ctanh (1 + 0x1p127 i) == 0.9101334047676183761532873794426475906201 + 0.2446359391192790896381501310437708987204 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: ctanh (1 + 0x1p127 i) == 0.9101334047676183761532873794426475906201 + 0.2446359391192790896381501310437708987204 i": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Real part of: ctanh (1 + 0x1p16383 i) == 0.8133818522051542536316746743877629761488 + 0.1608598776370396607204448234354670036772 i": +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: ctanh (1 + 0x1p16383 i) == 0.8133818522051542536316746743877629761488 + 0.1608598776370396607204448234354670036772 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: ctanh (355 + 1 i) == 1.0 + 8.140551093483276762350406321792653551513e-309 i": +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: ctanh (365 + 1 i) == 1.0 + 1.677892637497921890115075995898773550884e-317 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: ctanh (45 + 1 i) == 1.000000000000000000000000000000000000001 + 1.490158918874345552942703234806348520895e-39 i": +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: ctanh (47 + 1 i) == 1.0 + 2.729321264492904590777293425576722354636e-41 i": +ildouble: 1 +ldouble: 1 # erf Test "erf (1.25) == 0.922900128256458230136523481197281140": @@ -433,6 +1198,17 @@ idouble: 1 Test "erfc (0.75) == 0.288844366346484868401062165408589223": float: 1 ifloat: 1 +Test "erfc (0x1.f7303cp+1) == 2.705500297238986897105236321218861842255e-8": +double: 1 +idouble: 1 +Test "erfc (0x1.ffa002p+2) == 1.233585992097580296336099501489175967033e-29": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "erfc (0x1.ffffc8p+2) == 1.122671365033056305522366683719541099329e-29": +ildouble: 1 +ldouble: 1 Test "erfc (2.0) == 0.00467773498104726583793074363274707139": double: 1 idouble: 1 @@ -446,26 +1222,51 @@ idouble: 1 # exp10 Test "exp10 (-1) == 0.1": double: 2 -float: 1 idouble: 2 -ifloat: 1 Test "exp10 (0.75) == 5.62341325190349080394951039776481231": double: 1 -float: 1 idouble: 1 -ifloat: 1 Test "exp10 (3) == 1000": double: 6 -float: 2 idouble: 6 -ifloat: 2 ildouble: 1 ldouble: 1 # exp2 -Test "exp2 (10) == 1024": -ildouble: 2 -ldouble: 2 +Test "exp2 (100.5) == 1.792728671193156477399422023278661496394e+30": +ildouble: 1 +ldouble: 1 + +# exp_downward +Test "exp_downward (2) == e^2": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "exp_downward (3) == e^3": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# exp_towardzero +Test "exp_towardzero (2) == e^2": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "exp_towardzero (3) == e^3": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# exp_upward +Test "exp_upward (1) == e": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 # expm1 Test "expm1 (0.75) == 1.11700001661267466854536981983709561": @@ -511,31 +1312,37 @@ float: 1 ifloat: 1 # j0 +Test "j0 (-0x1.001000001p+593) == -3.927269966354206207832593635798954916263e-90": +ildouble: 1 +ldouble: 1 Test "j0 (-4.0) == -3.9714980986384737228659076845169804197562E-1": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 +ifloat: 1 Test "j0 (0.75) == 0.864242275166648623555731103820923211": float: 1 ifloat: 1 +Test "j0 (0x1.d7ce3ap+107) == 2.775523647291230802651040996274861694514e-17": +float: 2 +ifloat: 2 +ildouble: 1 +ldouble: 1 Test "j0 (10.0) == -0.245935764451348335197760862485328754": -double: 3 +double: 2 float: 1 -idouble: 3 +idouble: 2 ifloat: 1 ildouble: 2 ldouble: 2 Test "j0 (2.0) == 0.223890779141235668051827454649948626": -float: 2 -ifloat: 2 ildouble: 2 ldouble: 2 Test "j0 (4.0) == -3.9714980986384737228659076845169804197562E-1": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 +ifloat: 1 Test "j0 (8.0) == 0.171650807137553906090869407851972001": float: 1 ifloat: 1 @@ -549,6 +1356,16 @@ ldouble: 1 Test "j1 (0.75) == 0.349243602174862192523281016426251335": ildouble: 1 ldouble: 1 +Test "j1 (0x1.3ffp+74) == 1.818984347516051243459364437186082741567e-12": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "j1 (0x1.ff00000000002p+840) == 1.846591691699331493194965158699937660696e-127": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 Test "j1 (1.0) == 0.440050585744933515959682203718914913": ildouble: 1 ldouble: 1 @@ -569,29 +1386,27 @@ ldouble: 4 # jn Test "jn (0, -4.0) == -3.9714980986384737228659076845169804197562E-1": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 +ifloat: 1 Test "jn (0, 0.75) == 0.864242275166648623555731103820923211": float: 1 ifloat: 1 Test "jn (0, 10.0) == -0.245935764451348335197760862485328754": -double: 3 +double: 2 float: 1 -idouble: 3 +idouble: 2 ifloat: 1 ildouble: 2 ldouble: 2 Test "jn (0, 2.0) == 0.223890779141235668051827454649948626": -float: 2 -ifloat: 2 ildouble: 2 ldouble: 2 Test "jn (0, 4.0) == -3.9714980986384737228659076845169804197562E-1": double: 1 -float: 2 +float: 1 idouble: 1 -ifloat: 2 +ifloat: 1 Test "jn (0, 8.0) == 0.171650807137553906090869407851972001": float: 1 ifloat: 1 @@ -640,22 +1455,27 @@ 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 +float: 1 +ifloat: 1 ildouble: 2 ldouble: 2 Test "jn (10, 2.0) == 0.251538628271673670963516093751820639e-6": double: 1 -float: 4 +float: 2 idouble: 1 -ifloat: 4 +ifloat: 2 +Test "jn (2, 0x1.ffff62p+99) == -4.43860668048170034334926693188979974489e-16": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 Test "jn (2, 2.4048255576957729) == 0.43175480701968038399746111312430703": double: 2 float: 1 idouble: 2 ifloat: 1 +ildouble: 1 +ldouble: 1 Test "jn (3, 0.125) == 0.406503832554912875023029337653442868e-4": double: 1 float: 1 @@ -668,47 +1488,59 @@ idouble: 1 ifloat: 1 Test "jn (3, 10.0) == 0.0583793793051868123429354784103409563": double: 3 -float: 2 +float: 1 idouble: 3 -ifloat: 2 +ifloat: 1 ildouble: 2 ldouble: 2 Test "jn (3, 2.0) == 0.128943249474402051098793332969239835": -double: 1 -float: 2 -idouble: 1 -ifloat: 2 +float: 1 +ifloat: 1 Test "jn (3, 2.4048255576957729) == 0.19899990535769083404042146764530813": double: 3 idouble: 3 +ildouble: 1 +ldouble: 1 Test "jn (4, 2.4048255576957729) == 0.647466661641779720084932282551219891E-1": double: 1 idouble: 1 +ildouble: 1 +ldouble: 1 Test "jn (5, 2.4048255576957729) == 0.163892432048058525099230549946147698E-1": double: 3 float: 1 idouble: 3 ifloat: 1 +ildouble: 2 +ldouble: 2 Test "jn (6, 2.4048255576957729) == 0.34048184720278336646673682895929161E-2": double: 4 float: 3 idouble: 4 ifloat: 3 +ildouble: 5 +ldouble: 5 Test "jn (7, 2.4048255576957729) == 0.60068836573295394221291569249883076E-3": double: 3 float: 5 idouble: 3 ifloat: 5 +ildouble: 3 +ldouble: 3 Test "jn (8, 2.4048255576957729) == 0.92165786705344923232879022467054148E-4": double: 3 float: 2 idouble: 3 ifloat: 2 +ildouble: 8 +ldouble: 8 Test "jn (9, 2.4048255576957729) == 0.12517270977961513005428966643852564E-4": double: 1 float: 2 idouble: 1 ifloat: 2 +ildouble: 3 +ldouble: 3 # lgamma Test "lgamma (-0.5) == log(2*sqrt(pi))": @@ -751,39 +1583,278 @@ Test "log2 (0.75) == -.415037499278843818546261056052183492": ildouble: 1 ldouble: 1 +# pow +Test "pow (0x0.ffffffp0, -0x1p24) == 2.7182819094701610539628664526874952929416": +float: 1 +ifloat: 1 +Test "pow (0x0.ffffffp0, 0x1p24) == 0.3678794302077803437135155590023422899744": +float: 1 +ifloat: 1 +Test "pow (0x1.000002p0, 0x1p24) == 7.3890552180866447284268641248075832310141": +float: 1 +ifloat: 1 + +# pow_downward +Test "pow_downward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": +float: 1 +ifloat: 1 + +# pow_towardzero +Test "pow_towardzero (1.5, 1.03125) == 1.519127098714743184071644334163037684948": +float: 1 +ifloat: 1 + +# pow_upward +Test "pow_upward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# sin_downward +Test "sin_downward (10) == -0.5440211108893698134047476618513772816836": +float: 1 +ifloat: 1 +Test "sin_downward (2) == 0.9092974268256816953960198659117448427023": +ildouble: 1 +ldouble: 1 +Test "sin_downward (3) == 0.1411200080598672221007448028081102798469": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "sin_downward (4) == -0.7568024953079282513726390945118290941359": +ildouble: 1 +ldouble: 1 +Test "sin_downward (5) == -0.9589242746631384688931544061559939733525": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "sin_downward (6) == -0.2794154981989258728115554466118947596280": +float: 1 +ifloat: 1 +Test "sin_downward (8) == 0.9893582466233817778081235982452886721164": +ildouble: 1 +ldouble: 1 +Test "sin_downward (9) == 0.4121184852417565697562725663524351793439": +ildouble: 1 +ldouble: 1 + +# sin_tonearest +Test "sin_tonearest (1) == 0.8414709848078965066525023216302989996226": +float: 1 +ifloat: 1 +Test "sin_tonearest (3) == 0.1411200080598672221007448028081102798469": +ildouble: 1 +ldouble: 1 + +# sin_towardzero +Test "sin_towardzero (1) == 0.8414709848078965066525023216302989996226": +float: 1 +ifloat: 1 +Test "sin_towardzero (10) == -0.5440211108893698134047476618513772816836": +float: 1 +ifloat: 1 +Test "sin_towardzero (2) == 0.9092974268256816953960198659117448427023": +ildouble: 1 +ldouble: 1 +Test "sin_towardzero (3) == 0.1411200080598672221007448028081102798469": +ildouble: 1 +ldouble: 1 +Test "sin_towardzero (4) == -0.7568024953079282513726390945118290941359": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "sin_towardzero (5) == -0.9589242746631384688931544061559939733525": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "sin_towardzero (8) == 0.9893582466233817778081235982452886721164": +ildouble: 1 +ldouble: 1 +Test "sin_towardzero (9) == 0.4121184852417565697562725663524351793439": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# sin_upward +Test "sin_upward (1) == 0.8414709848078965066525023216302989996226": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "sin_upward (10) == -0.5440211108893698134047476618513772816836": +ildouble: 1 +ldouble: 1 +Test "sin_upward (2) == 0.9092974268256816953960198659117448427023": +float: 2 +ifloat: 2 +Test "sin_upward (3) == 0.1411200080598672221007448028081102798469": +ildouble: 1 +ldouble: 1 +Test "sin_upward (4) == -0.7568024953079282513726390945118290941359": +float: 1 +ifloat: 1 +Test "sin_upward (6) == -0.2794154981989258728115554466118947596280": +ildouble: 1 +ldouble: 1 +Test "sin_upward (7) == 0.6569865987187890903969990915936351779369": +ildouble: 1 +ldouble: 1 +Test "sin_upward (9) == 0.4121184852417565697562725663524351793439": +float: 1 +ifloat: 1 + # sincos Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": double: 1 +idouble: 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 +Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res": +float: 1 +ifloat: 1 + +# sinh_downward +Test "sinh_downward (22) == 1792456423.065795780701106568345764104225": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": -double: 1 +Test "sinh_downward (23) == 4872401723.124451299966006944252978187305": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "sinh_downward (24) == 13244561064.92173614705070540368454568168": float: 1 -idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Test "sincos (pi/2, &sin_res, &cos_res) puts 0 in cos_res": -double: 1 + +# sinh_towardzero +Test "sinh_towardzero (22) == 1792456423.065795780701106568345764104225": float: 1 -idouble: 1 ifloat: 1 -Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res": +ildouble: 1 +ldouble: 1 +Test "sinh_towardzero (23) == 4872401723.124451299966006944252978187305": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "sinh_towardzero (24) == 13244561064.92173614705070540368454568168": float: 1 ifloat: 1 +# sinh_upward +Test "sinh_upward (22) == 1792456423.065795780701106568345764104225": +ildouble: 1 +ldouble: 1 +Test "sinh_upward (23) == 4872401723.124451299966006944252978187305": +ildouble: 1 +ldouble: 1 +Test "sinh_upward (24) == 13244561064.92173614705070540368454568168": +ildouble: 1 +ldouble: 1 + # sqrt Test "sqrt (2) == M_SQRT2l": ildouble: 1 ldouble: 1 -# tan -Test "tan (pi/4) == 1": -double: 1 -idouble: 1 +# tan_downward +Test "tan_downward (1) == 1.5574077246549022305069748074583601730873": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "tan_downward (10) == 0.6483608274590866712591249330098086768169": +float: 1 +ifloat: 1 +Test "tan_downward (2) == -2.1850398632615189916433061023136825434320": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "tan_downward (6) == -0.2910061913847491570536995888681755428312": +float: 1 +ifloat: 1 +Test "tan_downward (8) == -6.7997114552203786999252627596086333648814": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "tan_downward (9) == -0.4523156594418098405903708757987855343087": +float: 1 +ifloat: 1 + +# tan_towardzero +Test "tan_towardzero (10) == 0.6483608274590866712591249330098086768169": +float: 1 +ifloat: 1 +Test "tan_towardzero (3) == -0.1425465430742778052956354105339134932261": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "tan_towardzero (4) == 1.1578212823495775831373424182673239231198": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "tan_towardzero (5) == -3.3805150062465856369827058794473439087096": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "tan_towardzero (6) == -0.2910061913847491570536995888681755428312": +ildouble: 1 +ldouble: 1 +Test "tan_towardzero (9) == -0.4523156594418098405903708757987855343087": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# tan_upward +Test "tan_upward (1) == 1.5574077246549022305069748074583601730873": +float: 1 +ifloat: 1 +Test "tan_upward (10) == 0.6483608274590866712591249330098086768169": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "tan_upward (2) == -2.1850398632615189916433061023136825434320": +ildouble: 1 +ldouble: 1 +Test "tan_upward (3) == -0.1425465430742778052956354105339134932261": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "tan_upward (4) == 1.1578212823495775831373424182673239231198": +ildouble: 1 +ldouble: 1 +Test "tan_upward (5) == -3.3805150062465856369827058794473439087096": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "tan_upward (6) == -0.2910061913847491570536995888681755428312": +ildouble: 1 +ldouble: 1 +Test "tan_upward (9) == -0.4523156594418098405903708757987855343087": +ildouble: 1 +ldouble: 1 # tanh Test "tanh (-0.75) == -0.635148952387287319214434357312496495": @@ -820,6 +1891,16 @@ ildouble: 1 ldouble: 1 # y0 +Test "y0 (0x1.3ffp+74) == 1.818984347516051243459467456433028748678e-12": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "y0 (0x1.ff00000000002p+840) == 1.846591691699331493194965158699937660696e-127": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 Test "y0 (1.0) == 0.0882569642156769579829267660235151628": double: 2 float: 1 @@ -855,6 +1936,12 @@ idouble: 1 Test "y1 (0.75) == -1.03759455076928541973767132140642198": ildouble: 1 ldouble: 1 +Test "y1 (0x1.001000001p+593) == 3.927269966354206207832593635798954916263e-90": +ildouble: 1 +ldouble: 1 +Test "y1 (0x1.27e204p+99) == -8.881610148467797208469612080785210013461e-16": +double: 1 +idouble: 1 Test "y1 (1.5) == -0.412308626973911295952829820633445323": double: 1 float: 1 @@ -955,17 +2042,13 @@ ifloat: 2 ildouble: 5 ldouble: 5 Test "yn (10, 1.0) == -121618014.278689189288130426667971145": -double: 1 float: 2 -idouble: 1 ifloat: 2 ildouble: 1 ldouble: 1 Test "yn (10, 10.0) == -0.359814152183402722051986577343560609": double: 2 -float: 2 idouble: 2 -ifloat: 2 ildouble: 2 ldouble: 2 Test "yn (10, 2.0) == -129184.542208039282635913145923304214": @@ -979,9 +2062,7 @@ Test "yn (3, 0.125) == -2612.69757350066712600220955744091741": double: 1 idouble: 1 Test "yn (3, 0.75) == -12.9877176234475433186319774484809207": -double: 1 float: 1 -idouble: 1 ifloat: 1 ildouble: 2 ldouble: 2 @@ -997,6 +2078,42 @@ double: 1 idouble: 1 # Maximal error of functions: +Function: "acos_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "acos_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "asin_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "asin_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 + +Function: "asin_upward": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + Function: "atan2": float: 1 ifloat: 1 @@ -1007,21 +2124,33 @@ Function: "atanh": float: 1 ifloat: 1 -Function: Imaginary part of "cacos": +Function: Real part of "cacos": +double: 1 +idouble: 1 ildouble: 1 ldouble: 1 +Function: Imaginary part of "cacos": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 + Function: Real part of "cacosh": double: 1 -float: 7 +float: 1 idouble: 1 -ifloat: 7 +ifloat: 1 +ildouble: 1 +ldouble: 1 Function: Imaginary part of "cacosh": double: 1 -float: 3 +float: 1 idouble: 1 -ifloat: 3 +ifloat: 1 ildouble: 1 ldouble: 1 @@ -1032,8 +2161,12 @@ idouble: 1 ifloat: 1 Function: Imaginary part of "casin": -ildouble: 1 -ldouble: 1 +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 Function: Real part of "casinh": double: 5 @@ -1051,10 +2184,6 @@ ifloat: 6 ildouble: 2 ldouble: 2 -Function: Real part of "catan": -float: 4 -ifloat: 4 - Function: Imaginary part of "catan": double: 1 float: 1 @@ -1070,8 +2199,6 @@ ildouble: 1 ldouble: 1 Function: Imaginary part of "catanh": -float: 6 -ifloat: 6 ildouble: 1 ldouble: 1 @@ -1110,38 +2237,42 @@ ildouble: 1 ldouble: 1 Function: Real part of "cexp": +double: 2 float: 1 +idouble: 2 ifloat: 1 ildouble: 1 ldouble: 1 Function: Imaginary part of "cexp": -float: 1 -ifloat: 1 +double: 1 +float: 2 +idouble: 1 +ifloat: 2 ildouble: 1 ldouble: 1 Function: Real part of "clog": +double: 1 float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Function: Imaginary part of "clog": -float: 3 -ifloat: 3 - Function: Real part of "clog10": +double: 1 float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 Function: Imaginary part of "clog10": double: 1 -float: 5 +float: 1 idouble: 1 -ifloat: 5 +ifloat: 1 ildouble: 1 ldouble: 1 @@ -1153,13 +2284,55 @@ ifloat: 1 ildouble: 1 ldouble: 1 +Function: "cos_downward": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "cos_tonearest": +float: 1 +ifloat: 1 + +Function: "cos_towardzero": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "cos_upward": +float: 2 +ifloat: 2 +ildouble: 1 +ldouble: 1 + +Function: "cosh_downward": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "cosh_tonearest": +ildouble: 1 +ldouble: 1 + +Function: "cosh_towardzero": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "cosh_upward": +ildouble: 1 +ldouble: 1 + Function: Real part of "cpow": double: 2 -float: 5 +float: 4 idouble: 2 -ifloat: 5 -ildouble: 10 -ldouble: 10 +ifloat: 4 +ildouble: 11 +ldouble: 11 Function: Imaginary part of "cpow": double: 2 @@ -1190,24 +2363,34 @@ idouble: 1 ifloat: 1 Function: Real part of "csqrt": +double: 1 float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 Function: Imaginary part of "csqrt": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 ildouble: 1 ldouble: 1 Function: Real part of "ctan": double: 1 +float: 1 idouble: 1 -ildouble: 1 -ldouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 Function: Imaginary part of "ctan": double: 1 +float: 1 idouble: 1 +ifloat: 1 ildouble: 2 ldouble: 2 @@ -1216,14 +2399,16 @@ double: 1 float: 2 idouble: 1 ifloat: 2 -ildouble: 1 -ldouble: 1 +ildouble: 2 +ldouble: 2 Function: Imaginary part of "ctanh": +double: 1 float: 1 +idouble: 1 ifloat: 1 -ildouble: 1 -ldouble: 1 +ildouble: 2 +ldouble: 2 Function: "erf": double: 1 @@ -1239,15 +2424,31 @@ ldouble: 1 Function: "exp10": double: 6 -float: 2 idouble: 6 -ifloat: 2 ildouble: 1 ldouble: 1 Function: "exp2": -ildouble: 2 -ldouble: 2 +ildouble: 1 +ldouble: 1 + +Function: "exp_downward": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "exp_towardzero": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "exp_upward": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 Function: "expm1": double: 1 @@ -1266,9 +2467,9 @@ float: 1 ifloat: 1 Function: "j0": -double: 3 +double: 2 float: 2 -idouble: 3 +idouble: 2 ifloat: 2 ildouble: 2 ldouble: 2 @@ -1286,8 +2487,8 @@ double: 4 float: 5 idouble: 4 ifloat: 5 -ildouble: 4 -ldouble: 4 +ildouble: 8 +ldouble: 8 Function: "lgamma": double: 1 @@ -1315,6 +2516,48 @@ Function: "log2": ildouble: 1 ldouble: 1 +Function: "pow": +float: 1 +ifloat: 1 + +Function: "pow_downward": +float: 1 +ifloat: 1 + +Function: "pow_towardzero": +float: 1 +ifloat: 1 + +Function: "pow_upward": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "sin_downward": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "sin_tonearest": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "sin_towardzero": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "sin_upward": +float: 2 +ifloat: 2 +ildouble: 1 +ldouble: 1 + Function: "sincos": double: 1 float: 1 @@ -1323,6 +2566,22 @@ ifloat: 1 ildouble: 1 ldouble: 1 +Function: "sinh_downward": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "sinh_towardzero": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "sinh_upward": +ildouble: 1 +ldouble: 1 + Function: "sqrt": ildouble: 1 ldouble: 1 @@ -1331,6 +2590,24 @@ Function: "tan": double: 1 idouble: 1 +Function: "tan_downward": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "tan_towardzero": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "tan_upward": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + Function: "tanh": ildouble: 1 ldouble: 1 |