tanh.c
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上传日期:2007-01-17
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- /* tanh.c - math routines */
- /* Copyright 1992-1994 Wind River Systems, Inc. */
- /*
- modification history
- --------------------
- 01f,09dec94,rhp fix man pages for hyperbolic fns.
- 01e,05feb93,jdi doc changes based on kdl review.
- 01d,02dec92,jdi doc tweaks.
- 01c,28oct92,jdi documentation cleanup.
- 01b,20sep92,smb documentation additions
- 01a,08jul92,smb documentation.
- */
- /*
- DESCRIPTION
- * Copyright (c) 1985 Regents of the University of California.
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms are permitted
- * provided that the above copyright notice and this paragraph are
- * duplicated in all such forms and that any documentation,
- * advertising materials, and other materials related to such
- * distribution and use acknowledge that the software was developed
- * by the University of California, Berkeley. The name of the
- * University may not be used to endorse or promote products derived
- * from this software without specific prior written permission.
- * THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR
- * IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
- * WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE.
- *
- * All recipients should regard themselves as participants in an ongoing
- * research project and hence should feel obligated to report their
- * experiences (good or bad) with these elementary function codes, using
- * the sendbug(8) program, to the authors.
- *
- SEE ALSO: American National Standard X3.159-1989
- NOMANUAL
- */
- #include "vxWorks.h"
- #include "math.h"
- /*******************************************************************************
- *
- * tanh - compute a hyperbolic tangent (ANSI)
- *
- * This routine returns the hyperbolic tangent of <x> in
- * double precision (IEEE double, 53 bits).
- *
- * INTERNAL:
- * Method:
- *
- * (1) Reduce <x> to non-negative by:
- *
- * tanh(-x) = - tanh(x)
- *
- * (2)
- * 0 < x <= 1.e-10 : tanh(x) := x
- *
- * -expm1(-2x)
- * 1.e-10 < x <= 1 : tanh(x) := --------------
- * expm1(-2x) + 2
- *
- * 2
- * 1 <= x <= 22.0 : tanh(x) := 1 - ---------------
- * expm1(2x) + 2
- * 22.0 < x <= INF : tanh(x) := 1.
- *
- * Note: 22 was chosen so that fl(1.0+2/(expm1(2*22)+2)) == 1.
- *
- * INCLUDE FILES: math.h
- *
- * RETURNS:
- * The double-precision hyperbolic tangent of <x>.
- *
- * Special cases:
- * If <x> is NaN, tanh() returns NaN.
- *
- * SEE ALSO: mathALib
- *
- * INTERNAL:
- * Coded in C by K.C. Ng, 1/8/85;
- * Revised by K.C. Ng on 2/8/85, 2/11/85, 3/7/85, 3/24/85.
- */
- double tanh
- (
- double x /* number whose hyperbolic tangent is required */
- )
- {
- static double one=1.0, two=2.0, small = 1.0e-10, big = 1.0e10;
- double expm1(), t, copysign(), sign;
- int finite();
- #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 < 22.0)
- if( x > one )
- return(copysign(one-two/(expm1(x+x)+two),sign));
- else if ( x > small )
- {t= -expm1(-(x+x)); return(copysign(t/(two-t),sign));}
- else /* raise the INEXACT flag for non-zero x */
- {big+x; return(copysign(x,sign));}
- else if(finite(x))
- return (sign+1.0E-37); /* raise the INEXACT flag */
- else
- return(sign); /* x is +- INF */
- }