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-rw-r--r--sysdeps/generic/sinh.c121
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diff --git a/sysdeps/generic/sinh.c b/sysdeps/generic/sinh.c
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-/*
- * 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[] = "@(#)sinh.c 8.1 (Berkeley) 6/4/93";
-#endif /* not lint */
-
-/* SINH(X)
- * RETURN THE HYPERBOLIC SINE OF X
- * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
- * CODED IN C BY K.C. NG, 1/8/85;
- * REVISED BY K.C. NG on 2/8/85, 3/7/85, 3/24/85, 4/16/85.
- *
- * Required system supported functions :
- * copysign(x,y)
- * scalb(x,N)
- *
- * Required kernel functions:
- * expm1(x) ...return exp(x)-1
- *
- * Method :
- * 1. reduce x to non-negative by sinh(-x) = - sinh(x).
- * 2.
- *
- * expm1(x) + expm1(x)/(expm1(x)+1)
- * 0 <= x <= lnovfl : sinh(x) := --------------------------------
- * 2
- * lnovfl <= x <= lnovfl+ln2 : sinh(x) := expm1(x)/2 (avoid overflow)
- * lnovfl+ln2 < x < INF : overflow to INF
- *
- *
- * Special cases:
- * sinh(x) is x if x is +INF, -INF, or NaN.
- * only sinh(0)=0 is exact for finite argument.
- *
- * Accuracy:
- * sinh(x) returns the exact hyperbolic sine of x nearly rounded. In
- * a test run with 1,024,000 random arguments on a VAX, the maximum
- * observed error was 1.93 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(mln2hi, 8.8029691931113054792E1 ,0f33,43b0,2bdb,c7e2, 7, .B00F33C7E22BDB)
-vc(mln2lo,-4.9650192275318476525E-16 ,1b60,a70f,582a,279e, -50,-.8F1B60279E582A)
-vc(lnovfl, 8.8029691931113053016E1 ,0f33,43b0,2bda,c7e2, 7, .B00F33C7E22BDA)
-
-ic(mln2hi, 7.0978271289338397310E2, 10, 1.62E42FEFA39EF)
-ic(mln2lo, 2.3747039373786107478E-14, -45, 1.ABC9E3B39803F)
-ic(lnovfl, 7.0978271289338397310E2, 9, 1.62E42FEFA39EF)
-
-#ifdef vccast
-#define mln2hi vccast(mln2hi)
-#define mln2lo vccast(mln2lo)
-#define lnovfl vccast(lnovfl)
-#endif
-
-#if defined(vax)||defined(tahoe)
-static max = 126 ;
-#else /* defined(vax)||defined(tahoe) */
-static max = 1023 ;
-#endif /* defined(vax)||defined(tahoe) */
-
-
-double sinh(x)
-double x;
-{
- static const double one=1.0, half=1.0/2.0 ;
- double t, sign;
-#if !defined(vax)&&!defined(tahoe)
- if(x!=x) return(x); /* x is NaN */
-#endif /* !defined(vax)&&!defined(tahoe) */
- sign=copysign(one,x);
- x=copysign(x,one);
- if(x<lnovfl)
- {t=expm1(x); return(copysign((t+t/(one+t))*half,sign));}
-
- else if(x <= lnovfl+0.7)
- /* subtract x by ln(2^(max+1)) and return 2^max*exp(x)
- to avoid unnecessary overflow */
- return(copysign(scalb(one+expm1((x-mln2hi)-mln2lo),max),sign));
-
- else /* sinh(+-INF) = +-INF, sinh(+-big no.) overflow to +-INF */
- return( expm1(x)*sign );
-}