library/math_tanh.c
/*
* $Id: math_tanh.c,v 1.5 2006-01-08 12:04:24 obarthel Exp $
*
* :ts=4
*
* Portable ISO 'C' (1994) runtime library for the Amiga computer
* Copyright (c) 2002-2015 by Olaf Barthel <obarthel (at) gmx.net>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* - Neither the name of Olaf Barthel nor the names of contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 COPYRIGHT OWNER 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.
*
*
* PowerPC math library based in part on work by Sun Microsystems
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
*/
#ifndef _MATH_HEADERS_H
#include "math_headers.h"
#endif /* _MATH_HEADERS_H */
/****************************************************************************/
#if defined(FLOATING_POINT_SUPPORT)
/****************************************************************************/
#if defined(IEEE_FLOATING_POINT_SUPPORT)
/****************************************************************************/
#if defined(__GNUC__)
/****************************************************************************/
#if defined(SMALL_DATA)
#define A4(x) "a4@(" #x ":W)"
#elif defined(SMALL_DATA32)
#define A4(x) "a4@(" #x ":L)"
#else
#define A4(x) #x
#endif /* SMALL_DATA */
/****************************************************************************/
extern double __tanh(double x);
/****************************************************************************/
asm("
.text
.even
.globl _MathIeeeDoubTransBase
.globl ___tanh
___tanh:
movel a6,sp@-
movel "A4(_MathIeeeDoubTransBase)",a6
moveml sp@(8),d0/d1
jsr a6@(-72:W)
movel sp@+,a6
rts
");
/****************************************************************************/
#else
/****************************************************************************/
INLINE STATIC const double
__tanh(double x)
{
double result;
result = IEEEDPTanh(x);
return(result);
}
/****************************************************************************/
#endif /* __GNUC__ */
/****************************************************************************/
#endif /* IEEE_FLOATING_POINT_SUPPORT */
/****************************************************************************/
#if defined(M68881_FLOATING_POINT_SUPPORT)
INLINE STATIC const double
__tanh(double x)
{
double result;
__asm ("ftanh%.x %1,%0"
: "=f" (result)
: "f" (x));
return(result);
}
#endif /* M68881_FLOATING_POINT_SUPPORT */
/****************************************************************************/
#if defined(PPC_FLOATING_POINT_SUPPORT)
static const double one=1.0, two=2.0, tiny = 1.0e-300;
INLINE STATIC double
__tanh(double x)
{
double t,z;
int jx,ix;
/* High word of |x|. */
GET_HIGH_WORD(jx,x);
ix = jx&0x7fffffff;
/* x is INF or NaN */
if(ix>=0x7ff00000) {
if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
else return one/x-one; /* tanh(NaN) = NaN */
}
/* |x| < 22 */
if (ix < 0x40360000) { /* |x|<22 */
if (ix<0x3c800000) /* |x|<2**-55 */
return x*(one+x); /* tanh(small) = small */
if (ix>=0x3ff00000) { /* |x|>=1 */
t = __expm1(two*fabs(x));
z = one - two/(t+two);
} else {
t = __expm1(-two*fabs(x));
z= -t/(t+two);
}
/* |x| > 22, return +-1 */
} else {
z = one - tiny; /* raised inexact flag */
}
return (jx>=0)? z: -z;
}
#endif /* PPC_FLOATING_POINT_SUPPORT */
/****************************************************************************/
double
tanh(double x)
{
double result;
result = __tanh(x);
return(result);
}
/****************************************************************************/
#endif /* FLOATING_POINT_SUPPORT */