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Fix signs of zeros from casinh, cacosh etc. (bug 10716).

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This commit is contained in:
Joseph Myers
2012-03-07 15:15:19 +00:00
parent a4300c7a4d
commit d1d3431a3a
11 changed files with 750 additions and 21 deletions
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14
ChangeLog
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@ -1,3 +1,17 @@
2012-03-07 Joseph Myers <joseph@codesourcery.com>
[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 <drepper@gmail.com> 2012-03-07 Ulrich Drepper <drepper@gmail.com>
* login/Makefile (distribute): Remove variable. * login/Makefile (distribute): Remove variable.

8
NEWS
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@ -11,10 +11,10 @@ Version 2.16
174, 350, 411, 2541, 2547, 2548, 3335, 3976, 3992, 4026, 4108, 4596, 4822, 174, 350, 411, 2541, 2547, 2548, 3335, 3976, 3992, 4026, 4108, 4596, 4822,
5077, 5461, 5805, 5993, 6884, 6907, 9739, 9902, 10110, 10135, 10140, 5077, 5461, 5805, 5993, 6884, 6907, 9739, 9902, 10110, 10135, 10140,
10210, 11174, 11322, 11365, 11494, 12047, 13058, 13525, 13526, 13527, 10210, 10716, 11174, 11322, 11365, 11494, 12047, 13058, 13525, 13526,
13528, 13529, 13530, 13531, 13532, 13533, 13547, 13551, 13552, 13553, 13527, 13528, 13529, 13530, 13531, 13532, 13533, 13547, 13551, 13552,
13555, 13559, 13583, 13618, 13637, 13656, 13695, 13704, 13706, 13726, 13553, 13555, 13559, 13583, 13618, 13637, 13656, 13695, 13704, 13706,
13738, 13786, 13792 13726, 13738, 13786, 13792
* ISO C11 support: * ISO C11 support:

104
math/libm-test.inc
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@ -1065,6 +1065,32 @@ cacos_test (void)
TEST_c_c (cacos, nan_value, nan_value, nan_value, nan_value); 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, 0.75L, 1.25L, 1.11752014915610270578240049553777969L, -1.13239363160530819522266333696834467L);
TEST_c_c (cacos, -2, -3, 2.1414491111159960199416055713254211L, 1.9833870299165354323470769028940395L); 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, 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, 0.75L, 1.25L, 1.13239363160530819522266333696834467L, 1.11752014915610270578240049553777969L);
TEST_c_c (cacosh, -2, -3, 1.9833870299165354323470769028940395L, -2.1414491111159960199416055713254211L); 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, 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, 0.75L, 1.25L, 0.453276177638793913448921196101971749L, 1.13239363160530819522266333696834467L);
TEST_c_c (casin, -2, -3, -0.57065278432109940071028387968566963L, -1.9833870299165354323470769028940395L); 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, 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, 0.75L, 1.25L, 1.03171853444778027336364058631006594L, 0.911738290968487636358489564316731207L);
TEST_c_c (casinh, -2, -3, -1.9686379257930962917886650952454982L, -0.96465850440760279204541105949953237L); TEST_c_c (casinh, -2, -3, -1.9686379257930962917886650952454982L, -0.96465850440760279204541105949953237L);

12
math/s_cacosh.c
View File

@ -1,5 +1,5 @@
/* Return arc hyperbole cosine for double value. /* 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. This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
@ -66,9 +66,13 @@ __cacosh (__complex__ double x)
} }
/* The factor 16 is just a guess. */ /* The factor 16 is just a guess. */
else if (16.0 * fabs (__imag__ x) < fabs (__real__ x)) else if (16.0 * fabs (__imag__ x) < fabs (__real__ x))
/* Kahan's formula which avoid cancellation through subtraction in {
some cases. */ /* Kahan's formula which avoid cancellation through subtraction in
res = 2.0 * __clog (__csqrt ((x + 1.0) / 2.0) + __csqrt ((x - 1.0) / 2.0)); 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 else
{ {
__complex__ double y; __complex__ double y;

14
math/s_cacoshf.c
View File

@ -1,5 +1,5 @@
/* Return arc hyperbole cosine for float value. /* 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. This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
@ -66,10 +66,14 @@ __cacoshf (__complex__ float x)
} }
/* The factor 16 is just a guess. */ /* The factor 16 is just a guess. */
else if (16.0 * fabsf (__imag__ x) < fabsf (__real__ x)) else if (16.0 * fabsf (__imag__ x) < fabsf (__real__ x))
/* Kahan's formula which avoid cancellation through subtraction in {
some cases. */ /* Kahan's formula which avoid cancellation through subtraction in
res = 2.0 * __clogf (__csqrtf ((x + 1.0) / 2.0) some cases. */
+ __csqrtf ((x - 1.0) / 2.0)); 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 else
{ {
__complex__ float y; __complex__ float y;

14
math/s_cacoshl.c
View File

@ -1,5 +1,5 @@
/* Return arc hyperbole cosine for long double value. /* 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. This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
@ -66,10 +66,14 @@ __cacoshl (__complex__ long double x)
} }
/* The factor 16 is just a guess. */ /* The factor 16 is just a guess. */
else if (16.0L * fabsl (__imag__ x) < fabsl (__real__ x)) else if (16.0L * fabsl (__imag__ x) < fabsl (__real__ x))
/* Kahan's formula which avoid cancellation through subtraction in {
some cases. */ /* Kahan's formula which avoid cancellation through subtraction in
res = 2.0L * __clogl (__csqrtl ((x + 1.0L) / 2.0L) some cases. */
+ __csqrtl ((x - 1.0L) / 2.0L)); 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 else
{ {
__complex__ long double y; __complex__ long double y;

7
math/s_casinh.c
View File

@ -1,5 +1,5 @@
/* Return arc hyperbole sine for double value. /* 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. This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
@ -73,6 +73,11 @@ __casinh (__complex__ double x)
__imag__ y += __imag__ x; __imag__ y += __imag__ x;
res = __clog (y); 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; return res;

7
math/s_casinhf.c
View File

@ -1,5 +1,5 @@
/* Return arc hyperbole sine for float value. /* 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. This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
@ -73,6 +73,11 @@ __casinhf (__complex__ float x)
__imag__ y += __imag__ x; __imag__ y += __imag__ x;
res = __clogf (y); 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; return res;

7
math/s_casinhl.c
View File

@ -1,5 +1,5 @@
/* Return arc hyperbole sine for long double value. /* 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. This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
@ -73,6 +73,11 @@ __casinhl (__complex__ long double x)
__imag__ y += __imag__ x; __imag__ y += __imag__ x;
res = __clogl (y); 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; return res;

286
sysdeps/i386/fpu/libm-test-ulps
View File

@ -28,13 +28,147 @@ ildouble: 2
ldouble: 1 ldouble: 1
# cacos # 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": Test "Imaginary part of: cacos (0.75 + 1.25 i) == 1.11752014915610270578240049553777969 - 1.13239363160530819522266333696834467 i":
float: 1 float: 1
ifloat: 1 ifloat: 1
ildouble: 2 ildouble: 2
ldouble: 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 # 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": Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i":
double: 1 double: 1
float: 9 float: 9
@ -52,8 +186,74 @@ ldouble: 1
Test "Real part of: cacosh (0.75 + 1.25 i) == 1.13239363160530819522266333696834467 + 1.11752014915610270578240049553777969 i": Test "Real part of: cacosh (0.75 + 1.25 i) == 1.13239363160530819522266333696834467 + 1.11752014915610270578240049553777969 i":
ildouble: 1 ildouble: 1
ldouble: 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 # 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": Test "Real part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i":
double: 1 double: 1
float: 1 float: 1
@ -66,8 +266,62 @@ float: 1
ifloat: 1 ifloat: 1
ildouble: 2 ildouble: 2
ldouble: 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 # 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": Test "Real part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i":
double: 5 double: 5
float: 1 float: 1
@ -82,6 +336,12 @@ idouble: 3
ifloat: 6 ifloat: 6
ildouble: 5 ildouble: 5
ldouble: 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": Test "Real part of: casinh (0.75 + 1.25 i) == 1.03171853444778027336364058631006594 + 0.911738290968487636358489564316731207 i":
float: 1 float: 1
ifloat: 1 ifloat: 1
@ -92,6 +352,22 @@ idouble: 1
ifloat: 1 ifloat: 1
ildouble: 1 ildouble: 1
ldouble: 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 # catan
Test "Imaginary part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": Test "Imaginary part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i":
@ -1544,8 +1820,16 @@ Function: "atanh":
ildouble: 2 ildouble: 2
ldouble: 1 ldouble: 1
Function: Real part of "cacos":
double: 1
idouble: 1
ildouble: 1
ldouble: 1
Function: Imaginary part of "cacos": Function: Imaginary part of "cacos":
double: 2
float: 1 float: 1
idouble: 2
ifloat: 1 ifloat: 1
ildouble: 2 ildouble: 2
ldouble: 2 ldouble: 2
@ -1575,7 +1859,9 @@ ildouble: 2
ldouble: 2 ldouble: 2
Function: Imaginary part of "casin": Function: Imaginary part of "casin":
double: 2
float: 1 float: 1
idouble: 2
ifloat: 1 ifloat: 1
ildouble: 2 ildouble: 2
ldouble: 2 ldouble: 2

298
sysdeps/x86_64/fpu/libm-test-ulps
View File

@ -41,13 +41,151 @@ ildouble: 1
ldouble: 1 ldouble: 1
# cacos # 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": Test "Imaginary part of: cacos (0.75 + 1.25 i) == 1.11752014915610270578240049553777969 - 1.13239363160530819522266333696834467 i":
float: 1 float: 1
ifloat: 1 ifloat: 1
ildouble: 2 ildouble: 2
ldouble: 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 # 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": Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i":
double: 1 double: 1
float: 7 float: 7
@ -65,8 +203,78 @@ ldouble: 1
Test "Real part of: cacosh (0.75 + 1.25 i) == 1.13239363160530819522266333696834467 + 1.11752014915610270578240049553777969 i": Test "Real part of: cacosh (0.75 + 1.25 i) == 1.13239363160530819522266333696834467 + 1.11752014915610270578240049553777969 i":
ildouble: 1 ildouble: 1
ldouble: 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 # 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": Test "Real part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i":
double: 1 double: 1
float: 1 float: 1
@ -79,8 +287,66 @@ float: 1
ifloat: 1 ifloat: 1
ildouble: 2 ildouble: 2
ldouble: 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 # 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": Test "Real part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i":
double: 5 double: 5
float: 1 float: 1
@ -95,6 +361,12 @@ idouble: 3
ifloat: 6 ifloat: 6
ildouble: 5 ildouble: 5
ldouble: 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": Test "Real part of: casinh (0.75 + 1.25 i) == 1.03171853444778027336364058631006594 + 0.911738290968487636358489564316731207 i":
float: 1 float: 1
ifloat: 1 ifloat: 1
@ -105,6 +377,22 @@ idouble: 1
ifloat: 1 ifloat: 1
ildouble: 1 ildouble: 1
ldouble: 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 # catan
Test "Real part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": Test "Real part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i":
@ -1498,8 +1786,16 @@ ifloat: 1
ildouble: 1 ildouble: 1
ldouble: 1 ldouble: 1
Function: Real part of "cacos":
double: 1
idouble: 1
ildouble: 1
ldouble: 1
Function: Imaginary part of "cacos": Function: Imaginary part of "cacos":
double: 2
float: 1 float: 1
idouble: 2
ifloat: 1 ifloat: 1
ildouble: 2 ildouble: 2
ldouble: 2 ldouble: 2
@ -1529,7 +1825,9 @@ ildouble: 2
ldouble: 2 ldouble: 2
Function: Imaginary part of "casin": Function: Imaginary part of "casin":
double: 2
float: 1 float: 1
idouble: 2
ifloat: 1 ifloat: 1
ildouble: 2 ildouble: 2
ldouble: 2 ldouble: 2