newlib-cygwin/newlib/libm/math/sf_tanh.c

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2000-02-18 03:39:52 +08:00
/* sf_tanh.c -- float version of s_tanh.c.
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
#include "fdlibm.h"
#ifdef __STDC__
static const float one=1.0, two=2.0, tiny = 1.0e-30;
#else
static float one=1.0, two=2.0, tiny = 1.0e-30;
#endif
#ifdef __STDC__
float tanhf(float x)
#else
float tanhf(x)
float x;
#endif
{
float t,z;
__int32_t jx,ix;
GET_FLOAT_WORD(jx,x);
ix = jx&0x7fffffff;
/* x is INF or NaN */
if(!FLT_UWORD_IS_FINITE(ix)) {
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if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
else return one/x-one; /* tanh(NaN) = NaN */
}
/* |x| < 22 */
if (ix < 0x41b00000) { /* |x|<22 */
if (ix<0x24000000) /* |x|<2**-55 */
return x*(one+x); /* tanh(small) = small */
if (ix>=0x3f800000) { /* |x|>=1 */
t = expm1f(two*fabsf(x));
z = one - two/(t+two);
} else {
t = expm1f(-two*fabsf(x));
z= -t/(t+two);
}
/* |x| > 22, return +-1 */
} else {
z = one - tiny; /* raised inexact flag */
}
return (jx>=0)? z: -z;
}
#ifdef _DOUBLE_IS_32BITS
#ifdef __STDC__
double tanh(double x)
#else
double tanh(x)
double x;
#endif
{
return (double) tanhf((float) x);
}
#endif /* defined(_DOUBLE_IS_32BITS) */