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Fix signs of zeros from casinh, cacosh etc. (bug 10716)
- From: "Joseph S. Myers" <joseph at codesourcery dot com>
- To: libc-alpha at sourceware dot org
- Date: Tue, 6 Mar 2012 02:57:23 +0000 (UTC)
- Subject: Fix signs of zeros from casinh, cacosh etc. (bug 10716)
Bug 10716, "various problems in cacosh and cacos", reports issues with
casinh, casin, cacosh and cacos that involve wrong signs of zeros in
results or wrong behavior around branch cuts.
The bug is a bit confusing and some issues listed there have been
fixed. This patch adds testcases for those functions on both real and
imaginary axes, with the zero coordinate both positive and negative,
and fixes the problems that still appear to be present.
For casinh, this is mainly about signs of zeros but it's also possible
some underflow cases might result in a bad sign for a nonzero value
near the branch cuts; I didn't find such a case or conclude it was
impossible, and put in copysign calls that would cover it anyway
rather than limiting the explicit sign setting to zeros.
For cacosh, the problem is that values close to the interval [-1, 1]
result in logs of values close to |z|=1 and it's possible that
rounding error will result in a negative real part (which should never
occur for the result of cacosh). This is fixed by replacing negative
real parts by 0 in the case that will apply when close to that
interval. (Certainly there is room for further improvement of the
code to end up using log1p and avoid errors from logs of values close
to |z|=1, just as casinh could be similarly improved as discussed in
bug 10357.)
Tested on x86_64 and x86 and ULPs updated accordingly.
2012-03-06 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.
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 <drepper@cygnus.com>, 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 <drepper@cygnus.com>, 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 <drepper@cygnus.com>, 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 <drepper@cygnus.com>, 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 <drepper@cygnus.com>, 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 <drepper@cygnus.com>, 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
--
Joseph S. Myers
joseph@codesourcery.com