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

diff --git a/ChangeLog b/ChangeLog
index b3dbb5d..e384280 100644 (file)
--- a/ChangeLog
+++ b/ChangeLog
@@ -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>
 
        * login/Makefile (distribute): Remove variable.

diff --git a/NEWS b/NEWS
index 61cc1dc..180aec4 100644 (file)
--- 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 (file)
--- 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 (file)
--- 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 (file)
--- 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 (file)
--- 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 (file)
--- 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 (file)
--- 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 (file)
--- 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 (file)
--- 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 (file)
--- 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