diff options
Diffstat (limited to 'libc/sysdeps/i386/fpu/libm-test-ulps')
| -rw-r--r-- | libc/sysdeps/i386/fpu/libm-test-ulps | 490 |
1 files changed, 490 insertions, 0 deletions
diff --git a/libc/sysdeps/i386/fpu/libm-test-ulps b/libc/sysdeps/i386/fpu/libm-test-ulps index cb22d4565..977a3abd1 100644 --- a/libc/sysdeps/i386/fpu/libm-test-ulps +++ b/libc/sysdeps/i386/fpu/libm-test-ulps @@ -28,13 +28,147 @@ ildouble: 2 ldouble: 1 # cacos +Test "Imaginary part of: cacos (+0 + 0.5 i) == pi/2 - 0.4812118250596034474977589134243684231352 i": +double: 2 +idouble: 2 +Test "Imaginary part of: cacos (+0 + 1.0 i) == pi/2 - 0.8813735870195430252326093249797923090282 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: cacos (+0 + 1.5 i) == pi/2 - 1.194763217287109304111930828519090523536 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +Test "Imaginary part of: cacos (+0 - 0.5 i) == pi/2 + 0.4812118250596034474977589134243684231352 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: cacos (+0 - 1.0 i) == pi/2 + 0.8813735870195430252326093249797923090282 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: cacos (+0 - 1.5 i) == pi/2 + 1.194763217287109304111930828519090523536 i": +double: 1 +idouble: 1 +Test "Imaginary part of: cacos (-0 + 0.5 i) == pi/2 - 0.4812118250596034474977589134243684231352 i": +double: 2 +idouble: 2 +Test "Imaginary part of: cacos (-0 + 1.0 i) == pi/2 - 0.8813735870195430252326093249797923090282 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: cacos (-0 + 1.5 i) == pi/2 - 1.194763217287109304111930828519090523536 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +Test "Imaginary part of: cacos (-0 - 0.5 i) == pi/2 + 0.4812118250596034474977589134243684231352 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: cacos (-0 - 1.0 i) == pi/2 + 0.8813735870195430252326093249797923090282 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: cacos (-0 - 1.5 i) == pi/2 + 1.194763217287109304111930828519090523536 i": +double: 1 +idouble: 1 +Test "Imaginary part of: cacos (-1.5 + +0 i) == pi - 0.9624236501192068949955178268487368462704 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: cacos (-1.5 - 0 i) == pi + 0.9624236501192068949955178268487368462704 i": +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": float: 1 ifloat: 1 ildouble: 2 ldouble: 2 +Test "Imaginary part of: cacos (1.5 + +0 i) == +0 - 0.9624236501192068949955178268487368462704 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: cacos (1.5 - 0 i) == +0 + 0.9624236501192068949955178268487368462704 i": +ildouble: 1 +ldouble: 1 # cacosh +Test "Real part of: cacosh (+0 + 0.5 i) == 0.4812118250596034474977589134243684231352 + pi/2 i": +float: 1 +ifloat: 1 +Test "Real part of: cacosh (+0 + 1.0 i) == 0.8813735870195430252326093249797923090282 + pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Real part of: cacosh (+0 + 1.5 i) == 1.194763217287109304111930828519090523536 + pi/2 i": +double: 1 +idouble: 1 +Test "Real part of: cacosh (+0 - 0.5 i) == 0.4812118250596034474977589134243684231352 - pi/2 i": +float: 1 +ifloat: 1 +Test "Real part of: cacosh (+0 - 1.0 i) == 0.8813735870195430252326093249797923090282 - pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Real part of: cacosh (+0 - 1.5 i) == 1.194763217287109304111930828519090523536 - pi/2 i": +double: 1 +idouble: 1 +Test "Real part of: cacosh (-0 + 0.5 i) == 0.4812118250596034474977589134243684231352 + pi/2 i": +float: 1 +ifloat: 1 +Test "Real part of: cacosh (-0 + 1.0 i) == 0.8813735870195430252326093249797923090282 + pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Real part of: cacosh (-0 + 1.5 i) == 1.194763217287109304111930828519090523536 + pi/2 i": +double: 1 +idouble: 1 +Test "Real part of: cacosh (-0 - 0.5 i) == 0.4812118250596034474977589134243684231352 - pi/2 i": +float: 1 +ifloat: 1 +Test "Real part of: cacosh (-0 - 1.0 i) == 0.8813735870195430252326093249797923090282 - pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Real part of: cacosh (-0 - 1.5 i) == 1.194763217287109304111930828519090523536 - pi/2 i": +double: 1 +idouble: 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 +Test "Real part of: cacosh (-1.5 - 0 i) == 0.9624236501192068949955178268487368462704 - pi i": +float: 1 +ifloat: 1 Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": double: 1 float: 9 @@ -52,8 +186,74 @@ ldouble: 1 Test "Real part of: cacosh (0.75 + 1.25 i) == 1.13239363160530819522266333696834467 + 1.11752014915610270578240049553777969 i": ildouble: 1 ldouble: 1 +Test "Real part of: cacosh (1.5 + +0 i) == 0.9624236501192068949955178268487368462704 + +0 i": +float: 1 +ifloat: 1 +Test "Real part of: cacosh (1.5 - 0 i) == 0.9624236501192068949955178268487368462704 - 0 i": +float: 1 +ifloat: 1 # casin +Test "Imaginary part of: casin (+0 + 0.5 i) == +0 + 0.4812118250596034474977589134243684231352 i": +double: 2 +idouble: 2 +Test "Imaginary part of: casin (+0 + 1.0 i) == +0 + 0.8813735870195430252326093249797923090282 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: casin (+0 + 1.5 i) == +0 + 1.194763217287109304111930828519090523536 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +Test "Imaginary part of: casin (+0 - 0.5 i) == +0 - 0.4812118250596034474977589134243684231352 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: casin (+0 - 1.0 i) == +0 - 0.8813735870195430252326093249797923090282 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: casin (+0 - 1.5 i) == +0 - 1.194763217287109304111930828519090523536 i": +double: 1 +idouble: 1 +Test "Imaginary part of: casin (-0 + 0.5 i) == -0 + 0.4812118250596034474977589134243684231352 i": +double: 2 +idouble: 2 +Test "Imaginary part of: casin (-0 + 1.0 i) == -0 + 0.8813735870195430252326093249797923090282 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: casin (-0 + 1.5 i) == -0 + 1.194763217287109304111930828519090523536 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +Test "Imaginary part of: casin (-0 - 0.5 i) == -0 - 0.4812118250596034474977589134243684231352 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: casin (-0 - 1.0 i) == -0 - 0.8813735870195430252326093249797923090282 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: casin (-0 - 1.5 i) == -0 - 1.194763217287109304111930828519090523536 i": +double: 1 +idouble: 1 +Test "Imaginary part of: casin (-1.5 + +0 i) == -pi/2 + 0.9624236501192068949955178268487368462704 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: casin (-1.5 - 0 i) == -pi/2 - 0.9624236501192068949955178268487368462704 i": +ildouble: 1 +ldouble: 1 Test "Real part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i": double: 1 float: 1 @@ -66,8 +266,62 @@ float: 1 ifloat: 1 ildouble: 2 ldouble: 2 +Test "Imaginary part of: casin (1.5 + +0 i) == pi/2 + 0.9624236501192068949955178268487368462704 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Imaginary part of: casin (1.5 - 0 i) == pi/2 - 0.9624236501192068949955178268487368462704 i": +ildouble: 1 +ldouble: 1 # casinh +Test "Real part of: casinh (+0 + 1.5 i) == 0.9624236501192068949955178268487368462704 + pi/2 i": +ildouble: 1 +ldouble: 1 +Test "Real part of: casinh (+0 - 1.5 i) == 0.9624236501192068949955178268487368462704 - pi/2 i": +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 +Test "Real part of: casinh (-0 - 1.5 i) == -0.9624236501192068949955178268487368462704 - pi/2 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Real part of: casinh (-0.5 + +0 i) == -0.4812118250596034474977589134243684231352 + +0 i": +double: 2 +idouble: 2 +Test "Real part of: casinh (-0.5 - 0 i) == -0.4812118250596034474977589134243684231352 - 0 i": +double: 2 +idouble: 2 +Test "Real part of: casinh (-1.0 + +0 i) == -0.8813735870195430252326093249797923090282 + +0 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Real part of: casinh (-1.0 - 0 i) == -0.8813735870195430252326093249797923090282 - 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 +Test "Real part of: casinh (-1.5 - 0 i) == -1.194763217287109304111930828519090523536 - 0 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 Test "Real part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i": double: 5 float: 1 @@ -82,6 +336,12 @@ idouble: 3 ifloat: 6 ildouble: 5 ldouble: 5 +Test "Real part of: casinh (0.5 + +0 i) == 0.4812118250596034474977589134243684231352 + +0 i": +float: 1 +ifloat: 1 +Test "Real part of: casinh (0.5 - 0 i) == 0.4812118250596034474977589134243684231352 - 0 i": +float: 1 +ifloat: 1 Test "Real part of: casinh (0.75 + 1.25 i) == 1.03171853444778027336364058631006594 + 0.911738290968487636358489564316731207 i": float: 1 ifloat: 1 @@ -92,6 +352,22 @@ 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 +Test "Real part of: casinh (1.0 - 0 i) == 0.8813735870195430252326093249797923090282 - 0 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "Real part of: casinh (1.5 + +0 i) == 1.194763217287109304111930828519090523536 + +0 i": +double: 1 +idouble: 1 +Test "Real part of: casinh (1.5 - 0 i) == 1.194763217287109304111930828519090523536 - 0 i": +double: 1 +idouble: 1 # catan Test "Imaginary part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": @@ -322,6 +598,9 @@ ldouble: 1 Test "cos_tonearest (8) == -0.1455000338086135258688413818311946826093": ildouble: 1 ldouble: 1 +Test "cos_tonearest (9) == -0.9111302618846769883682947111811653112463": +ildouble: 1 +ldouble: 1 # cos_towardzero Test "cos_towardzero (1) == 0.5403023058681397174009366074429766037323": @@ -408,6 +687,42 @@ ifloat: 1 Test "cosh (0.75) == 1.29468328467684468784170818539018176": ildouble: 1 +# cosh_downward +Test "cosh_downward (22) == 1792456423.065795780980053377632656584997": +double: 1 +float: 1 +ldouble: 2 +Test "cosh_downward (23) == 4872401723.124451300068625740569997090344": +double: 1 +float: 1 +ldouble: 1 +Test "cosh_downward (24) == 13244561064.92173614708845674912733665919": +float: 1 +ldouble: 1 + +# cosh_tonearest +Test "cosh_tonearest (22) == 1792456423.065795780980053377632656584997": +ldouble: 1 + +# cosh_towardzero +Test "cosh_towardzero (22) == 1792456423.065795780980053377632656584997": +double: 1 +float: 1 +ldouble: 2 +Test "cosh_towardzero (23) == 4872401723.124451300068625740569997090344": +double: 1 +float: 1 +ldouble: 1 +Test "cosh_towardzero (24) == 13244561064.92173614708845674912733665919": +float: 1 +ldouble: 1 + +# cosh_upward +Test "cosh_upward (23) == 4872401723.124451300068625740569997090344": +ldouble: 1 +Test "cosh_upward (24) == 13244561064.92173614708845674912733665919": +double: 1 + # cpow Test "Real part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": float: 1 @@ -897,6 +1212,42 @@ ifloat: 1 ildouble: 1 ldouble: 1 +# pow_downward +Test "pow_downward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "pow_downward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# pow_towardzero +Test "pow_towardzero (1.0625, 1.125) == 1.070582293028761362162622578677070098674": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "pow_towardzero (1.5, 1.03125) == 1.519127098714743184071644334163037684948": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +# pow_upward +Test "pow_upward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "pow_upward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + # sin_downward Test "sin_downward (1) == 0.8414709848078965066525023216302989996226": ildouble: 1 @@ -950,6 +1301,9 @@ ldouble: 1 Test "sin_tonearest (4) == -0.7568024953079282513726390945118290941359": ildouble: 1 ldouble: 1 +Test "sin_tonearest (9) == 0.4121184852417565697562725663524351793439": +ildouble: 1 +ldouble: 1 # sin_towardzero Test "sin_towardzero (1) == 0.8414709848078965066525023216302989996226": @@ -1052,6 +1406,58 @@ Test "sinh (0.75) == 0.822316731935829980703661634446913849": double: 1 ildouble: 1 +# sinh_downward +Test "sinh_downward (22) == 1792456423.065795780701106568345764104225": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ldouble: 4 +Test "sinh_downward (23) == 4872401723.124451299966006944252978187305": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "sinh_downward (24) == 13244561064.92173614705070540368454568168": +float: 1 +ifloat: 1 +ldouble: 5 + +# sinh_tonearest +Test "sinh_tonearest (22) == 1792456423.065795780701106568345764104225": +ldouble: 3 +Test "sinh_tonearest (23) == 4872401723.124451299966006944252978187305": +ldouble: 1 +Test "sinh_tonearest (24) == 13244561064.92173614705070540368454568168": +ldouble: 6 + +# sinh_towardzero +Test "sinh_towardzero (22) == 1792456423.065795780701106568345764104225": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ldouble: 4 +Test "sinh_towardzero (23) == 4872401723.124451299966006944252978187305": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "sinh_towardzero (24) == 13244561064.92173614705070540368454568168": +float: 1 +ifloat: 1 +ldouble: 5 + +# sinh_upward +Test "sinh_upward (22) == 1792456423.065795780701106568345764104225": +ldouble: 16 +Test "sinh_upward (23) == 4872401723.124451299966006944252978187305": +ldouble: 27 +Test "sinh_upward (24) == 13244561064.92173614705070540368454568168": +double: 1 +idouble: 1 +ldouble: 7 + # tan Test "tan (pi/4) == 1": double: 1 @@ -1081,6 +1487,9 @@ float: 1 ifloat: 1 ildouble: 1 ldouble: 1 +Test "tan_downward (5) == -3.3805150062465856369827058794473439087096": +ildouble: 1 +ldouble: 1 Test "tan_downward (6) == -0.2910061913847491570536995888681755428312": double: 1 float: 1 @@ -1130,6 +1539,8 @@ ldouble: 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 @@ -1174,6 +1585,8 @@ ldouble: 1 Test "tan_upward (3) == -0.1425465430742778052956354105339134932261": float: 1 ifloat: 1 +ildouble: 1 +ldouble: 1 Test "tan_upward (4) == 1.1578212823495775831373424182673239231198": double: 1 idouble: 1 @@ -1395,6 +1808,10 @@ idouble: 1 ifloat: 1 # Maximal error of functions: +Function: "acos": +ildouble: 1 +ldouble: 1 + Function: "asin": ildouble: 1 ldouble: 1 @@ -1403,8 +1820,16 @@ Function: "atanh": ildouble: 2 ldouble: 1 +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: 2 ldouble: 2 @@ -1434,7 +1859,9 @@ ildouble: 2 ldouble: 2 Function: Imaginary part of "casin": +double: 2 float: 1 +idouble: 2 ifloat: 1 ildouble: 2 ldouble: 2 @@ -1568,6 +1995,23 @@ ldouble: 1 Function: "cosh": ildouble: 1 +Function: "cosh_downward": +double: 1 +float: 1 +ldouble: 2 + +Function: "cosh_tonearest": +ldouble: 1 + +Function: "cosh_towardzero": +double: 1 +float: 1 +ldouble: 2 + +Function: "cosh_upward": +double: 1 +ldouble: 1 + Function: Real part of "cpow": double: 1 float: 4 @@ -1733,6 +2177,30 @@ ifloat: 1 ildouble: 1 ldouble: 1 +Function: "pow_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "pow_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "pow_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + Function: "sin_downward": double: 1 float: 1 @@ -1773,6 +2241,28 @@ Function: "sinh": double: 1 ildouble: 1 +Function: "sinh_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ldouble: 5 + +Function: "sinh_tonearest": +ldouble: 6 + +Function: "sinh_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ldouble: 5 + +Function: "sinh_upward": +double: 1 +idouble: 1 +ldouble: 27 + Function: "tan": double: 1 idouble: 1 |