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author | Christopher Faylor <me@cgf.cx> | 2000-02-17 19:39:52 +0000 |
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committer | Christopher Faylor <me@cgf.cx> | 2000-02-17 19:39:52 +0000 |
commit | 8a0efa53e44919bcf5ccb1d3353618a82afdf8bc (patch) | |
tree | 68c3dbf3f2c6fd5d49777def9914d77b5cd4589d /newlib/libm/math/s_tanh.c | |
parent | 1fd5e000ace55b323124c7e556a7a864b972a5c4 (diff) | |
download | cygnal-8a0efa53e44919bcf5ccb1d3353618a82afdf8bc.tar.gz cygnal-8a0efa53e44919bcf5ccb1d3353618a82afdf8bc.tar.bz2 cygnal-8a0efa53e44919bcf5ccb1d3353618a82afdf8bc.zip |
import newlib-2000-02-17 snapshot
Diffstat (limited to 'newlib/libm/math/s_tanh.c')
-rw-r--r-- | newlib/libm/math/s_tanh.c | 128 |
1 files changed, 128 insertions, 0 deletions
diff --git a/newlib/libm/math/s_tanh.c b/newlib/libm/math/s_tanh.c new file mode 100644 index 000000000..b5541d028 --- /dev/null +++ b/newlib/libm/math/s_tanh.c @@ -0,0 +1,128 @@ + +/* @(#)s_tanh.c 5.1 93/09/24 */ +/* + * ==================================================== + * 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. + * ==================================================== + */ + +/* + +FUNCTION + <<tanh>>, <<tanhf>>---hyperbolic tangent + +INDEX +tanh +INDEX +tanhf + +ANSI_SYNOPSIS + #include <math.h> + double tanh(double <[x]>); + float tanhf(float <[x]>); + +TRAD_SYNOPSIS + #include <math.h> + double tanh(<[x]>) + double <[x]>; + + float tanhf(<[x]>) + float <[x]>; + + +DESCRIPTION + +<<tanh>> computes the hyperbolic tangent of +the argument <[x]>. Angles are specified in radians. + +<<tanh(<[x]>)>> is defined as +. sinh(<[x]>)/cosh(<[x]>) + +<<tanhf>> is identical, save that it takes and returns <<float>> values. + +RETURNS +The hyperbolic tangent of <[x]> is returned. + +PORTABILITY +<<tanh>> is ANSI C. <<tanhf>> is an extension. + +*/ + +/* Tanh(x) + * Return the Hyperbolic Tangent of x + * + * Method : + * x -x + * e - e + * 0. tanh(x) is defined to be ----------- + * x -x + * e + e + * 1. reduce x to non-negative by tanh(-x) = -tanh(x). + * 2. 0 <= x <= 2**-55 : tanh(x) := x*(one+x) + * -t + * 2**-55 < x <= 1 : tanh(x) := -----; t = expm1(-2x) + * t + 2 + * 2 + * 1 <= x <= 22.0 : tanh(x) := 1- ----- ; t=expm1(2x) + * t + 2 + * 22.0 < x <= INF : tanh(x) := 1. + * + * Special cases: + * tanh(NaN) is NaN; + * only tanh(0)=0 is exact for finite argument. + */ + +#include "fdlibm.h" + +#ifndef _DOUBLE_IS_32BITS + +#ifdef __STDC__ +static const double one=1.0, two=2.0, tiny = 1.0e-300; +#else +static double one=1.0, two=2.0, tiny = 1.0e-300; +#endif + +#ifdef __STDC__ + double tanh(double x) +#else + double tanh(x) + double x; +#endif +{ + double t,z; + __int32_t 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 /* _DOUBLE_IS_32BITS */ |