diff options
author | PikalaxALT <pikalaxalt@gmail.com> | 2017-12-15 09:38:53 -0500 |
---|---|---|
committer | PikalaxALT <pikalaxalt@gmail.com> | 2017-12-15 09:39:34 -0500 |
commit | f95a4a932476be2ba99e2fd081e8d2bc6ea12813 (patch) | |
tree | 75f67192cb2d7b7b575c94edda318e475239b63c /newlib/libm/mathfp/e_atanh.c | |
parent | f60aca96985e68c7d8a52eb7bc955fb80e132f73 (diff) |
Import newlib and create makefile
Diffstat (limited to 'newlib/libm/mathfp/e_atanh.c')
-rw-r--r-- | newlib/libm/mathfp/e_atanh.c | 139 |
1 files changed, 139 insertions, 0 deletions
diff --git a/newlib/libm/mathfp/e_atanh.c b/newlib/libm/mathfp/e_atanh.c new file mode 100644 index 0000000..1ab311d --- /dev/null +++ b/newlib/libm/mathfp/e_atanh.c @@ -0,0 +1,139 @@ + +/* @(#)e_atanh.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 + <<atanh>>, <<atanhf>>---inverse hyperbolic tangent + +INDEX + atanh +INDEX + atanhf + +ANSI_SYNOPSIS + #include <math.h> + double atanh(double <[x]>); + float atanhf(float <[x]>); + +TRAD_SYNOPSIS + #include <math.h> + double atanh(<[x]>) + double <[x]>; + + float atanhf(<[x]>) + float <[x]>; + +DESCRIPTION + <<atanh>> calculates the inverse hyperbolic tangent of <[x]>. + + <<atanhf>> is identical, other than taking and returning + <<float>> values. + +RETURNS + <<atanh>> and <<atanhf>> return the calculated value. + + If + @ifinfo + |<[x]>| + @end ifinfo + @tex + $|x|$ + @end tex + is greater than 1, the global <<errno>> is set to <<EDOM>> and + the result is a NaN. A <<DOMAIN error>> is reported. + + If + @ifinfo + |<[x]>| + @end ifinfo + @tex + $|x|$ + @end tex + is 1, the global <<errno>> is set to <<EDOM>>; and the result is + infinity with the same sign as <<x>>. A <<SING error>> is reported. + + You can modify the error handling for these routines using + <<matherr>>. + +PORTABILITY + Neither <<atanh>> nor <<atanhf>> are ANSI C. + +QUICKREF + atanh - pure + atanhf - pure + + +*/ + +/* atanh(x) + * Method : + * 1.Reduced x to positive by atanh(-x) = -atanh(x) + * 2.For x>=0.5 + * 1 2x x + * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) + * 2 1 - x 1 - x + * + * For x<0.5 + * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) + * + * Special cases: + * atanh(x) is NaN if |x| > 1 with signal; + * atanh(NaN) is that NaN with no signal; + * atanh(+-1) is +-INF with signal. + * + */ + +#include "fdlibm.h" + +#ifndef _DOUBLE_IS_32BITS + +#ifdef __STDC__ +static const double one = 1.0, huge = 1e300; +#else +static double one = 1.0, huge = 1e300; +#endif + +#ifdef __STDC__ +static const double zero = 0.0; +#else +static double zero = 0.0; +#endif + +#ifdef __STDC__ + double atanh(double x) +#else + double atanh(x) + double x; +#endif +{ + double t; + __int32_t hx,ix; + __uint32_t lx; + EXTRACT_WORDS(hx,lx,x); + ix = hx&0x7fffffff; + if ((ix|((lx|(-lx))>>31))>0x3ff00000) /* |x|>1 */ + return (x-x)/(x-x); + if(ix==0x3ff00000) + return x/zero; + if(ix<0x3e300000&&(huge+x)>zero) return x; /* x<2**-28 */ + SET_HIGH_WORD(x,ix); + if(ix<0x3fe00000) { /* x < 0.5 */ + t = x+x; + t = 0.5*log1p(t+t*x/(one-x)); + } else + t = 0.5*log1p((x+x)/(one-x)); + if(hx>=0) return t; else return -t; +} + +#endif /* defined(_DOUBLE_IS_32BITS) */ |