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authorUlrich Drepper <drepper@gmail.com>2011-12-21 22:08:12 -0500
committerUlrich Drepper <drepper@gmail.com>2011-12-21 22:08:12 -0500
commite3a851a21bb69a4b18065dd859a724cfd984d8b3 (patch)
tree684234898c2ac6b0d426658503315e9e4855a9d5 /math/s_cacosh.c
parentb27e24b8746b20d9ded426f202b79c3b7aeb953e (diff)
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Use Kahan's formula in cacosh
Diffstat (limited to 'math/s_cacosh.c')
-rw-r--r--math/s_cacosh.c5
1 files changed, 5 insertions, 0 deletions
diff --git a/math/s_cacosh.c b/math/s_cacosh.c
index df5ce6945d..cb01ca87c5 100644
--- a/math/s_cacosh.c
+++ b/math/s_cacosh.c
@@ -65,6 +65,11 @@ __cacosh (__complex__ double x)
       __real__ res = 0.0;
       __imag__ res = __copysign (M_PI_2, __imag__ 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));
   else
     {
       __complex__ double y;