From d1d3431a3a9dd14501eedb701436bd5005b1db7d Mon Sep 17 00:00:00 2001 From: Joseph Myers Date: Wed, 7 Mar 2012 15:15:19 +0000 Subject: [PATCH] Fix signs of zeros from casinh, cacosh etc. (bug 10716). --- ChangeLog | 14 ++ NEWS | 8 +- math/libm-test.inc | 104 +++++++++++++ math/s_cacosh.c | 12 +- math/s_cacoshf.c | 14 +- math/s_cacoshl.c | 14 +- math/s_casinh.c | 7 +- math/s_casinhf.c | 7 +- math/s_casinhl.c | 7 +- sysdeps/i386/fpu/libm-test-ulps | 286 ++++++++++++++++++++++++++++++++++++ sysdeps/x86_64/fpu/libm-test-ulps | 298 ++++++++++++++++++++++++++++++++++++++ 11 files changed, 750 insertions(+), 21 deletions(-) diff --git a/ChangeLog b/ChangeLog index b3dbb5d..e384280 100644 --- a/ChangeLog +++ b/ChangeLog @@ -1,3 +1,17 @@ +2012-03-07 Joseph Myers + + [BZ #10716] + * math/s_cacosh.c (__cacosh): Convert negative log results to 0. + * math/s_cacoshf.c (__cacoshf): Likewise. + * math/s_cacoshl.c (__cacoshl): Likewise. + * math/s_casinh.c (__casinh): Set signs of result from argument. + * math/s_casinhf.c (__casinhf): Likewise. + * math/s_casinhl.c (__casinhl): Likewise. + * math/libm-test.inc (cacos_test, cacosh_test, casin_test) + (casinh_test): Add more tests. + * sysdeps/i386/fpu/libm-test-ulps: Update. + * sysdeps/x86_64/fpu/libm-test-ulps: Likewise. + 2012-03-07 Ulrich Drepper * login/Makefile (distribute): Remove variable. diff --git a/NEWS b/NEWS index 61cc1dc..180aec4 100644 --- a/NEWS +++ b/NEWS @@ -11,10 +11,10 @@ Version 2.16 174, 350, 411, 2541, 2547, 2548, 3335, 3976, 3992, 4026, 4108, 4596, 4822, 5077, 5461, 5805, 5993, 6884, 6907, 9739, 9902, 10110, 10135, 10140, - 10210, 11174, 11322, 11365, 11494, 12047, 13058, 13525, 13526, 13527, - 13528, 13529, 13530, 13531, 13532, 13533, 13547, 13551, 13552, 13553, - 13555, 13559, 13583, 13618, 13637, 13656, 13695, 13704, 13706, 13726, - 13738, 13786, 13792 + 10210, 10716, 11174, 11322, 11365, 11494, 12047, 13058, 13525, 13526, + 13527, 13528, 13529, 13530, 13531, 13532, 13533, 13547, 13551, 13552, + 13553, 13555, 13559, 13583, 13618, 13637, 13656, 13695, 13704, 13706, + 13726, 13738, 13786, 13792 * ISO C11 support: diff --git a/math/libm-test.inc b/math/libm-test.inc index 9bdbc4c..39cda66 100644 --- a/math/libm-test.inc +++ b/math/libm-test.inc @@ -1065,6 +1065,32 @@ cacos_test (void) TEST_c_c (cacos, nan_value, nan_value, nan_value, nan_value); + TEST_c_c (cacos, plus_zero, -1.5L, M_PI_2l, 1.194763217287109304111930828519090523536L); + TEST_c_c (cacos, minus_zero, -1.5L, M_PI_2l, 1.194763217287109304111930828519090523536L); + TEST_c_c (cacos, plus_zero, -1.0L, M_PI_2l, 0.8813735870195430252326093249797923090282L); + TEST_c_c (cacos, minus_zero, -1.0L, M_PI_2l, 0.8813735870195430252326093249797923090282L); + TEST_c_c (cacos, plus_zero, -0.5L, M_PI_2l, 0.4812118250596034474977589134243684231352L); + TEST_c_c (cacos, minus_zero, -0.5L, M_PI_2l, 0.4812118250596034474977589134243684231352L); + TEST_c_c (cacos, plus_zero, 0.5L, M_PI_2l, -0.4812118250596034474977589134243684231352L); + TEST_c_c (cacos, minus_zero, 0.5L, M_PI_2l, -0.4812118250596034474977589134243684231352L); + TEST_c_c (cacos, plus_zero, 1.0L, M_PI_2l, -0.8813735870195430252326093249797923090282L); + TEST_c_c (cacos, minus_zero, 1.0L, M_PI_2l, -0.8813735870195430252326093249797923090282L); + TEST_c_c (cacos, plus_zero, 1.5L, M_PI_2l, -1.194763217287109304111930828519090523536L); + TEST_c_c (cacos, minus_zero, 1.5L, M_PI_2l, -1.194763217287109304111930828519090523536L); + + TEST_c_c (cacos, -1.5L, plus_zero, M_PIl, -0.9624236501192068949955178268487368462704L); + TEST_c_c (cacos, -1.5L, minus_zero, M_PIl, 0.9624236501192068949955178268487368462704L); + TEST_c_c (cacos, -1.0L, plus_zero, M_PIl, minus_zero); + TEST_c_c (cacos, -1.0L, minus_zero, M_PIl, plus_zero); + TEST_c_c (cacos, -0.5L, plus_zero, 2.094395102393195492308428922186335256131L, minus_zero); + TEST_c_c (cacos, -0.5L, minus_zero, 2.094395102393195492308428922186335256131L, plus_zero); + TEST_c_c (cacos, 0.5L, plus_zero, 1.047197551196597746154214461093167628066L, minus_zero); + TEST_c_c (cacos, 0.5L, minus_zero, 1.047197551196597746154214461093167628066L, plus_zero); + TEST_c_c (cacos, 1.0L, plus_zero, plus_zero, minus_zero); + TEST_c_c (cacos, 1.0L, minus_zero, plus_zero, plus_zero); + TEST_c_c (cacos, 1.5L, plus_zero, plus_zero, -0.9624236501192068949955178268487368462704L); + TEST_c_c (cacos, 1.5L, minus_zero, plus_zero, 0.9624236501192068949955178268487368462704L); + TEST_c_c (cacos, 0.75L, 1.25L, 1.11752014915610270578240049553777969L, -1.13239363160530819522266333696834467L); TEST_c_c (cacos, -2, -3, 2.1414491111159960199416055713254211L, 1.9833870299165354323470769028940395L); @@ -1127,6 +1153,32 @@ cacosh_test (void) TEST_c_c (cacosh, nan_value, nan_value, nan_value, nan_value); + TEST_c_c (cacosh, plus_zero, -1.5L, 1.194763217287109304111930828519090523536L, -M_PI_2l); + TEST_c_c (cacosh, minus_zero, -1.5L, 1.194763217287109304111930828519090523536L, -M_PI_2l); + TEST_c_c (cacosh, plus_zero, -1.0L, 0.8813735870195430252326093249797923090282L, -M_PI_2l); + TEST_c_c (cacosh, minus_zero, -1.0L, 0.8813735870195430252326093249797923090282L, -M_PI_2l); + TEST_c_c (cacosh, plus_zero, -0.5L, 0.4812118250596034474977589134243684231352L, -M_PI_2l); + TEST_c_c (cacosh, minus_zero, -0.5L, 0.4812118250596034474977589134243684231352L, -M_PI_2l); + TEST_c_c (cacosh, plus_zero, 0.5L, 0.4812118250596034474977589134243684231352L, M_PI_2l); + TEST_c_c (cacosh, minus_zero, 0.5L, 0.4812118250596034474977589134243684231352L, M_PI_2l); + TEST_c_c (cacosh, plus_zero, 1.0L, 0.8813735870195430252326093249797923090282L, M_PI_2l); + TEST_c_c (cacosh, minus_zero, 1.0L, 0.8813735870195430252326093249797923090282L, M_PI_2l); + TEST_c_c (cacosh, plus_zero, 1.5L, 1.194763217287109304111930828519090523536L, M_PI_2l); + TEST_c_c (cacosh, minus_zero, 1.5L, 1.194763217287109304111930828519090523536L, M_PI_2l); + + TEST_c_c (cacosh, -1.5L, plus_zero, 0.9624236501192068949955178268487368462704L, M_PIl); + TEST_c_c (cacosh, -1.5L, minus_zero, 0.9624236501192068949955178268487368462704L, -M_PIl); + TEST_c_c (cacosh, -1.0L, plus_zero, plus_zero, M_PIl); + TEST_c_c (cacosh, -1.0L, minus_zero, plus_zero, -M_PIl); + TEST_c_c (cacosh, -0.5L, plus_zero, plus_zero, 2.094395102393195492308428922186335256131L); + TEST_c_c (cacosh, -0.5L, minus_zero, plus_zero, -2.094395102393195492308428922186335256131L); + TEST_c_c (cacosh, 0.5L, plus_zero, plus_zero, 1.047197551196597746154214461093167628066L); + TEST_c_c (cacosh, 0.5L, minus_zero, plus_zero, -1.047197551196597746154214461093167628066L); + TEST_c_c (cacosh, 1.0L, plus_zero, plus_zero, plus_zero); + TEST_c_c (cacosh, 1.0L, minus_zero, plus_zero, minus_zero); + TEST_c_c (cacosh, 1.5L, plus_zero, 0.9624236501192068949955178268487368462704L, plus_zero); + TEST_c_c (cacosh, 1.5L, minus_zero, 0.9624236501192068949955178268487368462704L, minus_zero); + TEST_c_c (cacosh, 0.75L, 1.25L, 1.13239363160530819522266333696834467L, 1.11752014915610270578240049553777969L); TEST_c_c (cacosh, -2, -3, 1.9833870299165354323470769028940395L, -2.1414491111159960199416055713254211L); @@ -1258,6 +1310,32 @@ casin_test (void) TEST_c_c (casin, nan_value, nan_value, nan_value, nan_value); + TEST_c_c (casin, plus_zero, -1.5L, plus_zero, -1.194763217287109304111930828519090523536L); + TEST_c_c (casin, minus_zero, -1.5L, minus_zero, -1.194763217287109304111930828519090523536L); + TEST_c_c (casin, plus_zero, -1.0L, plus_zero, -0.8813735870195430252326093249797923090282L); + TEST_c_c (casin, minus_zero, -1.0L, minus_zero, -0.8813735870195430252326093249797923090282L); + TEST_c_c (casin, plus_zero, -0.5L, plus_zero, -0.4812118250596034474977589134243684231352L); + TEST_c_c (casin, minus_zero, -0.5L, minus_zero, -0.4812118250596034474977589134243684231352L); + TEST_c_c (casin, plus_zero, 0.5L, plus_zero, 0.4812118250596034474977589134243684231352L); + TEST_c_c (casin, minus_zero, 0.5L, minus_zero, 0.4812118250596034474977589134243684231352L); + TEST_c_c (casin, plus_zero, 1.0L, plus_zero, 0.8813735870195430252326093249797923090282L); + TEST_c_c (casin, minus_zero, 1.0L, minus_zero, 0.8813735870195430252326093249797923090282L); + TEST_c_c (casin, plus_zero, 1.5L, plus_zero, 1.194763217287109304111930828519090523536L); + TEST_c_c (casin, minus_zero, 1.5L, minus_zero, 1.194763217287109304111930828519090523536L); + + TEST_c_c (casin, -1.5L, plus_zero, -M_PI_2l, 0.9624236501192068949955178268487368462704L); + TEST_c_c (casin, -1.5L, minus_zero, -M_PI_2l, -0.9624236501192068949955178268487368462704L); + TEST_c_c (casin, -1.0L, plus_zero, -M_PI_2l, plus_zero); + TEST_c_c (casin, -1.0L, minus_zero, -M_PI_2l, minus_zero); + TEST_c_c (casin, -0.5L, plus_zero, -0.5235987755982988730771072305465838140329L, plus_zero); + TEST_c_c (casin, -0.5L, minus_zero, -0.5235987755982988730771072305465838140329L, minus_zero); + TEST_c_c (casin, 0.5L, plus_zero, 0.5235987755982988730771072305465838140329L, plus_zero); + TEST_c_c (casin, 0.5L, minus_zero, 0.5235987755982988730771072305465838140329L, minus_zero); + TEST_c_c (casin, 1.0L, plus_zero, M_PI_2l, plus_zero); + TEST_c_c (casin, 1.0L, minus_zero, M_PI_2l, minus_zero); + TEST_c_c (casin, 1.5L, plus_zero, M_PI_2l, 0.9624236501192068949955178268487368462704L); + TEST_c_c (casin, 1.5L, minus_zero, M_PI_2l, -0.9624236501192068949955178268487368462704L); + TEST_c_c (casin, 0.75L, 1.25L, 0.453276177638793913448921196101971749L, 1.13239363160530819522266333696834467L); TEST_c_c (casin, -2, -3, -0.57065278432109940071028387968566963L, -1.9833870299165354323470769028940395L); @@ -1322,6 +1400,32 @@ casinh_test (void) TEST_c_c (casinh, nan_value, nan_value, nan_value, nan_value); + TEST_c_c (casinh, plus_zero, -1.5L, 0.9624236501192068949955178268487368462704L, -M_PI_2l); + TEST_c_c (casinh, minus_zero, -1.5L, -0.9624236501192068949955178268487368462704L, -M_PI_2l); + TEST_c_c (casinh, plus_zero, -1.0L, plus_zero, -M_PI_2l); + TEST_c_c (casinh, minus_zero, -1.0L, minus_zero, -M_PI_2l); + TEST_c_c (casinh, plus_zero, -0.5L, plus_zero, -0.5235987755982988730771072305465838140329L); + TEST_c_c (casinh, minus_zero, -0.5L, minus_zero, -0.5235987755982988730771072305465838140329L); + TEST_c_c (casinh, plus_zero, 0.5L, plus_zero, 0.5235987755982988730771072305465838140329L); + TEST_c_c (casinh, minus_zero, 0.5L, minus_zero, 0.5235987755982988730771072305465838140329L); + TEST_c_c (casinh, plus_zero, 1.0L, plus_zero, M_PI_2l); + TEST_c_c (casinh, minus_zero, 1.0L, minus_zero, M_PI_2l); + TEST_c_c (casinh, plus_zero, 1.5L, 0.9624236501192068949955178268487368462704L, M_PI_2l); + TEST_c_c (casinh, minus_zero, 1.5L, -0.9624236501192068949955178268487368462704L, M_PI_2l); + + TEST_c_c (casinh, -1.5L, plus_zero, -1.194763217287109304111930828519090523536L, plus_zero); + TEST_c_c (casinh, -1.5L, minus_zero, -1.194763217287109304111930828519090523536L, minus_zero); + TEST_c_c (casinh, -1.0L, plus_zero, -0.8813735870195430252326093249797923090282L, plus_zero); + TEST_c_c (casinh, -1.0L, minus_zero, -0.8813735870195430252326093249797923090282L, minus_zero); + TEST_c_c (casinh, -0.5L, plus_zero, -0.4812118250596034474977589134243684231352L, plus_zero); + TEST_c_c (casinh, -0.5L, minus_zero, -0.4812118250596034474977589134243684231352L, minus_zero); + TEST_c_c (casinh, 0.5L, plus_zero, 0.4812118250596034474977589134243684231352L, plus_zero); + TEST_c_c (casinh, 0.5L, minus_zero, 0.4812118250596034474977589134243684231352L, minus_zero); + TEST_c_c (casinh, 1.0L, plus_zero, 0.8813735870195430252326093249797923090282L, plus_zero); + TEST_c_c (casinh, 1.0L, minus_zero, 0.8813735870195430252326093249797923090282L, minus_zero); + TEST_c_c (casinh, 1.5L, plus_zero, 1.194763217287109304111930828519090523536L, plus_zero); + TEST_c_c (casinh, 1.5L, minus_zero, 1.194763217287109304111930828519090523536L, minus_zero); + TEST_c_c (casinh, 0.75L, 1.25L, 1.03171853444778027336364058631006594L, 0.911738290968487636358489564316731207L); TEST_c_c (casinh, -2, -3, -1.9686379257930962917886650952454982L, -0.96465850440760279204541105949953237L); diff --git a/math/s_cacosh.c b/math/s_cacosh.c index 95bf005..ef49088 100644 --- a/math/s_cacosh.c +++ b/math/s_cacosh.c @@ -1,5 +1,5 @@ /* Return arc hyperbole cosine for double value. - Copyright (C) 1997, 2006, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper , 1997. @@ -66,9 +66,13 @@ __cacosh (__complex__ double x) } /* The factor 16 is just a guess. */ else if (16.0 * fabs (__imag__ x) < fabs (__real__ x)) - /* Kahan's formula which avoid cancellation through subtraction in - some cases. */ - res = 2.0 * __clog (__csqrt ((x + 1.0) / 2.0) + __csqrt ((x - 1.0) / 2.0)); + { + /* Kahan's formula which avoid cancellation through subtraction in + some cases. */ + res = 2.0 * __clog (__csqrt ((x + 1.0) / 2.0) + __csqrt ((x - 1.0) / 2.0)); + if (signbit (__real__ res)) + __real__ res = 0.0; + } else { __complex__ double y; diff --git a/math/s_cacoshf.c b/math/s_cacoshf.c index d634a1b..fc716ac 100644 --- a/math/s_cacoshf.c +++ b/math/s_cacoshf.c @@ -1,5 +1,5 @@ /* Return arc hyperbole cosine for float value. - Copyright (C) 1997, 2006, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper , 1997. @@ -66,10 +66,14 @@ __cacoshf (__complex__ float x) } /* The factor 16 is just a guess. */ else if (16.0 * fabsf (__imag__ x) < fabsf (__real__ x)) - /* Kahan's formula which avoid cancellation through subtraction in - some cases. */ - res = 2.0 * __clogf (__csqrtf ((x + 1.0) / 2.0) - + __csqrtf ((x - 1.0) / 2.0)); + { + /* Kahan's formula which avoid cancellation through subtraction in + some cases. */ + res = 2.0 * __clogf (__csqrtf ((x + 1.0) / 2.0) + + __csqrtf ((x - 1.0) / 2.0)); + if (signbit (__real__ res)) + __real__ res = 0.0f; + } else { __complex__ float y; diff --git a/math/s_cacoshl.c b/math/s_cacoshl.c index dcdb1d5..3bcab1d 100644 --- a/math/s_cacoshl.c +++ b/math/s_cacoshl.c @@ -1,5 +1,5 @@ /* Return arc hyperbole cosine for long double value. - Copyright (C) 1997, 1998, 2006, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper , 1997. @@ -66,10 +66,14 @@ __cacoshl (__complex__ long double x) } /* The factor 16 is just a guess. */ else if (16.0L * fabsl (__imag__ x) < fabsl (__real__ x)) - /* Kahan's formula which avoid cancellation through subtraction in - some cases. */ - res = 2.0L * __clogl (__csqrtl ((x + 1.0L) / 2.0L) - + __csqrtl ((x - 1.0L) / 2.0L)); + { + /* Kahan's formula which avoid cancellation through subtraction in + some cases. */ + res = 2.0L * __clogl (__csqrtl ((x + 1.0L) / 2.0L) + + __csqrtl ((x - 1.0L) / 2.0L)); + if (signbit (__real__ res)) + __real__ res = 0.0L; + } else { __complex__ long double y; diff --git a/math/s_casinh.c b/math/s_casinh.c index e06be1c..24ae676 100644 --- a/math/s_casinh.c +++ b/math/s_casinh.c @@ -1,5 +1,5 @@ /* Return arc hyperbole sine for double value. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper , 1997. @@ -73,6 +73,11 @@ __casinh (__complex__ double x) __imag__ y += __imag__ x; res = __clog (y); + + /* Ensure zeros have correct sign and results are correct if + very close to branch cuts. */ + __real__ res = __copysign (__real__ res, __real__ x); + __imag__ res = __copysign (__imag__ res, __imag__ x); } return res; diff --git a/math/s_casinhf.c b/math/s_casinhf.c index 37c6740..c7098ef 100644 --- a/math/s_casinhf.c +++ b/math/s_casinhf.c @@ -1,5 +1,5 @@ /* Return arc hyperbole sine for float value. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper , 1997. @@ -73,6 +73,11 @@ __casinhf (__complex__ float x) __imag__ y += __imag__ x; res = __clogf (y); + + /* Ensure zeros have correct sign and results are correct if + very close to branch cuts. */ + __real__ res = __copysignf (__real__ res, __real__ x); + __imag__ res = __copysignf (__imag__ res, __imag__ x); } return res; diff --git a/math/s_casinhl.c b/math/s_casinhl.c index de41cb8..80d7bf5 100644 --- a/math/s_casinhl.c +++ b/math/s_casinhl.c @@ -1,5 +1,5 @@ /* Return arc hyperbole sine for long double value. - Copyright (C) 1997, 1998, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper , 1997. @@ -73,6 +73,11 @@ __casinhl (__complex__ long double x) __imag__ y += __imag__ x; res = __clogl (y); + + /* Ensure zeros have correct sign and results are correct if + very close to branch cuts. */ + __real__ res = __copysignl (__real__ res, __real__ x); + __imag__ res = __copysignl (__imag__ res, __imag__ x); } return res; diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps index c5568b9..977a3ab 100644 --- a/sysdeps/i386/fpu/libm-test-ulps +++ b/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": @@ -1544,8 +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 @@ -1575,7 +1859,9 @@ ildouble: 2 ldouble: 2 Function: Imaginary part of "casin": +double: 2 float: 1 +idouble: 2 ifloat: 1 ildouble: 2 ldouble: 2 diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index 269dca6..867e8dd 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -41,13 +41,151 @@ ildouble: 1 ldouble: 1 # cacos +Test "Imaginary part of: cacos (+0 + 0.5 i) == pi/2 - 0.4812118250596034474977589134243684231352 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +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 +float: 1 +idouble: 2 +ifloat: 1 +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: 7 @@ -65,8 +203,78 @@ 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 +float: 1 +idouble: 2 +ifloat: 1 +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 +float: 1 +idouble: 2 +ifloat: 1 +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 @@ -79,8 +287,66 @@ 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 +float: 1 +idouble: 2 +ifloat: 1 +Test "Real part of: casinh (-0.5 - 0 i) == -0.4812118250596034474977589134243684231352 - 0 i": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +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 @@ -95,6 +361,12 @@ 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 @@ -105,6 +377,22 @@ 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 "Real part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": @@ -1498,8 +1786,16 @@ ifloat: 1 ildouble: 1 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 @@ -1529,7 +1825,9 @@ ildouble: 2 ldouble: 2 Function: Imaginary part of "casin": +double: 2 float: 1 +idouble: 2 ifloat: 1 ildouble: 2 ldouble: 2 -- 2.7.4