aboutsummaryrefslogtreecommitdiffstats
path: root/gcc-4.9/libquadmath/math/atanhq.c
diff options
context:
space:
mode:
Diffstat (limited to 'gcc-4.9/libquadmath/math/atanhq.c')
-rw-r--r--gcc-4.9/libquadmath/math/atanhq.c66
1 files changed, 66 insertions, 0 deletions
diff --git a/gcc-4.9/libquadmath/math/atanhq.c b/gcc-4.9/libquadmath/math/atanhq.c
new file mode 100644
index 000000000..b34036715
--- /dev/null
+++ b/gcc-4.9/libquadmath/math/atanhq.c
@@ -0,0 +1,66 @@
+/* s_atanhl.c -- __float128 version of s_atan.c.
+ * Conversion to __float128 by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* atanhq(x)
+ * Method :
+ * 1.Reduced x to positive by atanh(-x) = -atanh(x)
+ * 2.For x>=0.5
+ * 1 2x x
+ * atanhl(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
+ * 2 1 - x 1 - x
+ *
+ * For x<0.5
+ * atanhl(x) = 0.5*log1pl(2x+2x*x/(1-x))
+ *
+ * Special cases:
+ * atanhl(x) is NaN if |x| > 1 with signal;
+ * atanhl(NaN) is that NaN with no signal;
+ * atanhl(+-1) is +-INF with signal.
+ *
+ */
+
+#include "quadmath-imp.h"
+
+static const __float128 one = 1.0Q, huge = 1e4900Q;
+static const __float128 zero = 0.0Q;
+
+__float128
+atanhq (__float128 x)
+{
+ __float128 t;
+ uint32_t jx, ix;
+ ieee854_float128 u;
+
+ u.value = x;
+ jx = u.words32.w0;
+ ix = jx & 0x7fffffff;
+ u.words32.w0 = ix;
+ if (ix >= 0x3fff0000) /* |x| >= 1.0 or infinity or NaN */
+ {
+ if (u.value == one)
+ return x/zero;
+ else
+ return (x-x)/(x-x);
+ }
+ if(ix<0x3fc60000 && (huge+x)>zero) return x; /* x < 2^-57 */
+
+ if(ix<0x3ffe0000) { /* x < 0.5 */
+ t = u.value+u.value;
+ t = 0.5*log1pq(t+t*u.value/(one-u.value));
+ } else
+ t = 0.5*log1pq((u.value+u.value)/(one-u.value));
+ if(jx & 0x80000000) return -t; else return t;
+}