text: /*
   * Copyright (c) 1985, 1993
   *	The Regents of the University of California.  All rights reserved.
   *
   * Portions copyright (c) 1999, 2000
   * Intel Corporation.
   * 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, Intel Corporation, and its contributors.
   * 
   * 4. Neither the name of University, Intel Corporation, or their respective
   *    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, INTEL CORPORATION 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,
   * INTEL CORPORATION 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 int max = 126                      ;
  #else	/* defined(vax)||defined(tahoe) */
  static int 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 defined(EFI32) || defined(EFI64) || defined(EFIX64)
      if (isnan(x)) return(x);        /* Can't use x!=x to check for NaN with MS compiler */
  #else
  	if(x!=x) return(x);	/* x is NaN */
  #endif  /* defined(EFI32)||defined(EFI64)||defined(EFIX64) */
  #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 );
  }
  