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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 /sysdeps/ieee754/ldbl-128ibm/e_sinhl.c
parent7d58530341304d403a6626d7f7a1913165fe2f32 (diff)
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2.5-18.1
Diffstat (limited to 'sysdeps/ieee754/ldbl-128ibm/e_sinhl.c')
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diff --git a/sysdeps/ieee754/ldbl-128ibm/e_sinhl.c b/sysdeps/ieee754/ldbl-128ibm/e_sinhl.c
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+/*
+ * ====================================================
+ * 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.
+ * ====================================================
+ */
+
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_sinh.c,v 1.7 1995/05/10 20:46:13 jtc Exp $";
+#endif
+
+/* __ieee754_sinh(x)
+ * Method :
+ * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
+ * 1. Replace x by |x| (sinh(-x) = -sinh(x)).
+ * 2.
+ * E + E/(E+1)
+ * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x)
+ * 2
+ *
+ * 22 <= x <= lnovft : sinh(x) := exp(x)/2
+ * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2)
+ * ln2ovft < x : sinh(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ * sinh(x) is |x| if x is +INF, -INF, or NaN.
+ * only sinh(0)=0 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one = 1.0, shuge = 1.0e307;
+#else
+static long double one = 1.0, shuge = 1.0e307;
+#endif
+
+#ifdef __STDC__
+ long double __ieee754_sinhl(long double x)
+#else
+ long double __ieee754_sinhl(x)
+ long double x;
+#endif
+{
+ long double t,w,h;
+ int64_t ix,jx;
+
+ /* High word of |x|. */
+ GET_LDOUBLE_MSW64(jx,x);
+ ix = jx&0x7fffffffffffffffLL;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff0000000000000LL) return x+x;
+
+ h = 0.5;
+ if (jx<0) h = -h;
+ /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x4036000000000000LL) { /* |x|<22 */
+ if (ix<0x3e20000000000000LL) /* |x|<2**-29 */
+ if(shuge+x>one) return x;/* sinhl(tiny) = tiny with inexact */
+ t = __expm1l(fabsl(x));
+ if(ix<0x3ff0000000000000LL) return h*(2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x40862e42fefa39efLL) return h*__ieee754_expl(fabsl(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix <= 0x408633ce8fb9f87dLL) {
+ w = __ieee754_expl(0.5*fabsl(x));
+ t = h*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x*shuge;
+}