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authorJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
committerJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
commit0ecb606cb6cf65de1d9fc8a919bceb4be476c602 (patch)
tree2ea1f8305970753e4a657acb2ccc15ca3eec8e2c /math/s_csqrtl.c
parent7d58530341304d403a6626d7f7a1913165fe2f32 (diff)
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2.5-18.1
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diff --git a/math/s_csqrtl.c b/math/s_csqrtl.c
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+/* Complex square root of long double value.
+   Copyright (C) 1997, 1998, 2005 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+   Based on an algorithm by Stephen L. Moshier <moshier@world.std.com>.
+   Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, write to the Free
+   Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+   02111-1307 USA.  */
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+
+__complex__ long double
+__csqrtl (__complex__ long double x)
+{
+  __complex__ long double res;
+  int rcls = fpclassify (__real__ x);
+  int icls = fpclassify (__imag__ x);
+
+  if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
+    {
+      if (icls == FP_INFINITE)
+	{
+	  __real__ res = HUGE_VALL;
+	  __imag__ res = __imag__ x;
+	}
+      else if (rcls == FP_INFINITE)
+	{
+	  if (__real__ x < 0.0)
+	    {
+	      __real__ res = icls == FP_NAN ? __nanl ("") : 0;
+	      __imag__ res = __copysignl (HUGE_VALL, __imag__ x);
+	    }
+	  else
+	    {
+	      __real__ res = __real__ x;
+	      __imag__ res = (icls == FP_NAN
+			      ? __nanl ("") : __copysignl (0.0, __imag__ x));
+	    }
+	}
+      else
+	{
+	  __real__ res = __nanl ("");
+	  __imag__ res = __nanl ("");
+	}
+    }
+  else
+    {
+      if (icls == FP_ZERO)
+	{
+	  if (__real__ x < 0.0)
+	    {
+	      __real__ res = 0.0;
+	      __imag__ res = __copysignl (__ieee754_sqrtl (-__real__ x),
+					  __imag__ x);
+	    }
+	  else
+	    {
+	      __real__ res = fabsl (__ieee754_sqrtl (__real__ x));
+	      __imag__ res = __copysignl (0.0, __imag__ x);
+	    }
+	}
+      else if (rcls == FP_ZERO)
+	{
+	  long double r = __ieee754_sqrtl (0.5 * fabsl (__imag__ x));
+
+	  __real__ res = r;
+	  __imag__ res = __copysignl (r, __imag__ x);
+	}
+      else
+	{
+	  long double d, r, s;
+
+	  d = __ieee754_hypotl (__real__ x, __imag__ x);
+	  /* Use the identity   2  Re res  Im res = Im x
+	     to avoid cancellation error in  d +/- Re x.  */
+	  if (__real__ x > 0)
+	    {
+	      r = __ieee754_sqrtl (0.5L * d + 0.5L * __real__ x);
+	      s = (0.5L * __imag__ x) / r;
+	    }
+	  else
+	    {
+	      s = __ieee754_sqrtl (0.5L * d - 0.5L * __real__ x);
+	      r = fabsl ((0.5L * __imag__ x) / s);
+	    }
+
+	  __real__ res = r;
+	  __imag__ res = __copysignl (s, __imag__ x);
+	}
+    }
+
+  return res;
+}
+weak_alias (__csqrtl, csqrtl)