diff src/build-msvctools/math/atanh.c @ 3061:f8299bb6c872

Initial support for native MSVC compilation. * add MSVC support files: compiler wrappers and support libraries * adapt libiconv to work with MSVC * adapt gettext to work with MSVC
author Michael Goffioul <michael.goffioul@gmail.com>
date Mon, 17 Jun 2013 22:43:11 -0400
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/build-msvctools/math/atanh.c	Mon Jun 17 22:43:11 2013 -0400
@@ -0,0 +1,31 @@
+#include <math.h>
+#include <errno.h>
+#include "fastmath.h"
+
+/* atanh (x) = 0.5 * log ((1.0 + x)/(1.0 - x)) */
+
+double atanh(double x)
+{
+  double z;
+  if isnan (x)
+    return x;
+  z = fabs (x);
+  if (z == 1.0)
+    {
+      errno  = ERANGE;
+      return (x > 0 ? INFINITY : -INFINITY);
+    }
+  if (z > 1.0)
+    {
+      errno = EDOM;
+      return nan("");
+    }
+  /* Rearrange formula to avoid precision loss for small x.
+
+  atanh(x) = 0.5 * log ((1.0 + x)/(1.0 - x))
+	   = 0.5 * log1p ((1.0 + x)/(1.0 - x) - 1.0)
+           = 0.5 * log1p ((1.0 + x - 1.0 + x) /(1.0 - x)) 
+           = 0.5 * log1p ((2.0 * x ) / (1.0 - x))  */
+  z = 0.5 * __fast_log1p ((z + z) / (1.0 - z));
+  return x >= 0 ? z : -z;
+}