initial import

1 files changed, 101 insertions, 0 deletions

diff --git a/sysdeps/generic/asinh.c b/sysdeps/generic/asinh.c
new file mode 100644
index 0000000000..5db8d2ddf7
--- /dev/null
+++ b/sysdeps/generic/asinh.c
@@ -0,0 +1,101 @@
+/*
+ * Copyright (c) 1985, 1993
+ *	The Regents of the University of California.  All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *	This product includes software developed by the University of
+ *	California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ *    may be used to endorse or promote products derived from this software
+ *    without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#ifndef lint
+static char sccsid[] = "@(#)asinh.c	8.1 (Berkeley) 6/4/93";
+#endif /* not lint */
+
+/* ASINH(X)
+ * RETURN THE INVERSE HYPERBOLIC SINE OF X
+ * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
+ * CODED IN C BY K.C. NG, 2/16/85;
+ * REVISED BY K.C. NG on 3/7/85, 3/24/85, 4/16/85.
+ *
+ * Required system supported functions :
+ *	copysign(x,y)
+ *	sqrt(x)
+ *
+ * Required kernel function:
+ *	log1p(x) 		...return log(1+x)
+ *
+ * Method :
+ *	Based on 
+ *		asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
+ *	we have
+ *	asinh(x) := x  if  1+x*x=1,
+ *		 := sign(x)*(log1p(x)+ln2))	 if sqrt(1+x*x)=x, else
+ *		 := sign(x)*log1p(|x| + |x|/(1/|x| + sqrt(1+(1/|x|)^2)) )  
+ *
+ * Accuracy:
+ *	asinh(x) returns the exact inverse hyperbolic sine of x nearly rounded.
+ *	In a test run with 52,000 random arguments on a VAX, the maximum 
+ *	observed error was 1.58 ulps (units in the last place).
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following constants.
+ * The decimal values may be used, provided that the compiler will convert
+ * from decimal to binary accurately enough to produce the hexadecimal values
+ * shown.
+ */
+#include "mathimpl.h"
+
+vc(ln2hi, 6.9314718055829871446E-1  ,7217,4031,0000,f7d0,   0, .B17217F7D00000)
+vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC)
+
+ic(ln2hi, 6.9314718036912381649E-1,   -1, 1.62E42FEE00000)
+ic(ln2lo, 1.9082149292705877000E-10, -33, 1.A39EF35793C76)
+
+#ifdef vccast
+#define    ln2hi    vccast(ln2hi)
+#define    ln2lo    vccast(ln2lo)
+#endif
+
+double asinh(x)
+double x;
+{	
+	double t,s;
+	const static double	small=1.0E-10,	/* fl(1+small*small) == 1 */
+				big  =1.0E20,	/* fl(1+big) == big */
+				one  =1.0   ;	
+
+#if !defined(vax)&&!defined(tahoe)
+	if(x!=x) return(x);	/* x is NaN */
+#endif	/* !defined(vax)&&!defined(tahoe) */
+	if((t=copysign(x,one))>small) 
+	    if(t<big) {
+	     	s=one/t; return(copysign(log1p(t+t/(s+sqrt(one+s*s))),x)); }
+	    else	/* if |x| > big */
+		{s=log1p(t)+ln2lo; return(copysign(s+ln2hi,x));}
+	else	/* if |x| < small */
+	    return(x);
+}