atanh.c
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上传日期:2007-01-17
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- /* atanh.c - math routines */
- /* Copyright 1992 Wind River Systems, Inc. */
- /*
- modification history
- --------------------
- 01c,14oct92,jdi made atanh() nomanual.
- 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"
- #if defined(vax)||defined(tahoe)
- #include <errno.h>
- #endif /* defined(vax)||defined(tahoe) */
- /*****************************************************************************
- *
- * atanh -
- *
- * ATANH(X)
- * RETURN THE HYPERBOLIC ARC TANGENT 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 2/7/85, 3/7/85, 8/18/85.
- *
- * Required kernel function:
- * .CS
- * log1p(x) ...return log(1+x)
- * .CE
- *
- * Method :
- * .CS
- * Return
- * 1 2x x
- * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
- * 2 1 - x 1 - x
- * .CE
- *
- * Special cases are if atanh(x) is NaN if |x| > 1 with signal; atanh(NaN) is
- * that NaN with no signal; or if atanh(+-1) is +-INF with signal.
- *
- * atanh(x) returns the exact hyperbolic arc tangent of x nearly rounded.
- * In a test run with 512,000 random arguments on a VAX, the maximum
- * observed error was 1.87 ulps (units in the last place) at
- * x= -3.8962076028810414000e-03.
- *
- * NOMANUAL
- */
- double atanh(x)
- double x;
- {
- double copysign(),log1p(),z;
- z = copysign(0.5,x);
- x = copysign(x,1.0);
- #if defined(vax)||defined(tahoe)
- if (x == 1.0) {
- extern double infnan();
- return(copysign(1.0,z)*infnan(ERANGE)); /* sign(x)*INF */
- }
- #endif /* defined(vax)||defined(tahoe) */
- x = x/(1.0-x);
- return( z*log1p(x+x) );
- }