Prepare libm-test.inc structures for multi-rounding-mode testing.

[platform/upstream/glibc.git] / math / s_catanf.c

diff --git a/math/s_catanf.c b/math/s_catanf.c
index d0d188c..41e419d 100644 (file)
--- a/math/s_catanf.c
+++ b/math/s_catanf.c
@@ -1,5 +1,5 @@
 /* Return arc tangent of complex float value.
-   Copyright (C) 1997-2013 Free Software Foundation, Inc.
+   Copyright (C) 1997-2014 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
 
@@ -29,7 +29,7 @@ __catanf (__complex__ float x)
   int rcls = fpclassify (__real__ x);
   int icls = fpclassify (__imag__ x);
 
-  if (__builtin_expect (rcls <= FP_INFINITE || icls <= FP_INFINITE, 0))
+  if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE))
     {
       if (rcls == FP_INFINITE)
        {
@@ -55,33 +55,78 @@ __catanf (__complex__ float x)
          __imag__ res = __nanf ("");
        }
     }
-  else if (__builtin_expect (rcls == FP_ZERO && icls == FP_ZERO, 0))
+  else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
     {
       res = x;
     }
   else
     {
-      float r2, num, den, f;
+      if (fabsf (__real__ x) >= 16.0f / FLT_EPSILON
+         || fabsf (__imag__ x) >= 16.0f / FLT_EPSILON)
+       {
+         __real__ res = __copysignf ((float) M_PI_2, __real__ x);
+         if (fabsf (__real__ x) <= 1.0f)
+           __imag__ res = 1.0f / __imag__ x;
+         else if (fabsf (__imag__ x) <= 1.0f)
+           __imag__ res = __imag__ x / __real__ x / __real__ x;
+         else
+           {
+             float h = __ieee754_hypotf (__real__ x / 2.0f,
+                                         __imag__ x / 2.0f);
+             __imag__ res = __imag__ x / h / h / 4.0f;
+           }
+       }
+      else
+       {
+         float den, absx, absy;
 
-      r2 = __real__ x * __real__ x;
+         absx = fabsf (__real__ x);
+         absy = fabsf (__imag__ x);
+         if (absx < absy)
+           {
+             float t = absx;
+             absx = absy;
+             absy = t;
+           }
 
-      den = 1 - r2 - __imag__ x * __imag__ x;
+         if (absy < FLT_EPSILON / 2.0f)
+           den = (1.0f - absx) * (1.0f + absx);
+         else if (absx >= 1.0f)
+           den = (1.0f - absx) * (1.0f + absx) - absy * absy;
+         else if (absx >= 0.75f || absy >= 0.5f)
+           den = -__x2y2m1f (absx, absy);
+         else
+           den = (1.0f - absx) * (1.0f + absx) - absy * absy;
 
-      __real__ res = 0.5f * __ieee754_atan2f (2.0f * __real__ x, den);
+         __real__ res = 0.5f * __ieee754_atan2f (2.0f * __real__ x, den);
 
-      num = __imag__ x + 1.0f;
-      num = r2 + num * num;
+         if (fabsf (__imag__ x) == 1.0f
+             && fabsf (__real__ x) < FLT_EPSILON * FLT_EPSILON)
+           __imag__ res = (__copysignf (0.5f, __imag__ x)
+                           * ((float) M_LN2
+                              - __ieee754_logf (fabsf (__real__ x))));
+         else
+           {
+             float r2 = 0.0f, num, f;
 
-      den = __imag__ x - 1.0f;
-      den = r2 + den * den;
+             if (fabsf (__real__ x) >= FLT_EPSILON * FLT_EPSILON)
+               r2 = __real__ x * __real__ x;
 
-      f = num / den;
-      if (f < 0.5f)
-       __imag__ res = 0.25f * __ieee754_logf (f);
-      else
-       {
-         num = 4.0f * __imag__ x;
-         __imag__ res = 0.25f * __log1pf (num / den);
+             num = __imag__ x + 1.0f;
+             num = r2 + num * num;
+
+             den = __imag__ x - 1.0f;
+             den = r2 + den * den;
+
+             f = num / den;
+             if (f < 0.5f)
+               __imag__ res = 0.25f * __ieee754_logf (f);
+             else
+               {
+                 num = 4.0f * __imag__ x;
+                 __imag__ res = 0.25f * __log1pf (num / den);
+               }
+           }
        }
 
       if (fabsf (__real__ res) < FLT_MIN)