diff options
author | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
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committer | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
commit | 1077fa4d772832f77a677ce7fb7c2d513b959e3f (patch) | |
tree | 579bee13fb0b58d2800206366ec2caecbb15f3fc /libm/double/atanh.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/double/atanh.c')
-rw-r--r-- | libm/double/atanh.c | 156 |
1 files changed, 156 insertions, 0 deletions
diff --git a/libm/double/atanh.c b/libm/double/atanh.c new file mode 100644 index 000000000..7bb742d3d --- /dev/null +++ b/libm/double/atanh.c @@ -0,0 +1,156 @@ +/* atanh.c + * + * Inverse hyperbolic tangent + * + * + * + * SYNOPSIS: + * + * double x, y, atanh(); + * + * y = atanh( x ); + * + * + * + * DESCRIPTION: + * + * Returns inverse hyperbolic tangent of argument in the range + * MINLOG to MAXLOG. + * + * If |x| < 0.5, the rational form x + x**3 P(x)/Q(x) is + * employed. Otherwise, + * atanh(x) = 0.5 * log( (1+x)/(1-x) ). + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * DEC -1,1 50000 2.4e-17 6.4e-18 + * IEEE -1,1 30000 1.9e-16 5.2e-17 + * + */ + +/* atanh.c */ + + +/* +Cephes Math Library Release 2.8: June, 2000 +Copyright (C) 1987, 1995, 2000 by Stephen L. Moshier +*/ + +#include <math.h> + +#ifdef UNK +static double P[] = { +-8.54074331929669305196E-1, + 1.20426861384072379242E1, +-4.61252884198732692637E1, + 6.54566728676544377376E1, +-3.09092539379866942570E1 +}; +static double Q[] = { +/* 1.00000000000000000000E0,*/ +-1.95638849376911654834E1, + 1.08938092147140262656E2, +-2.49839401325893582852E2, + 2.52006675691344555838E2, +-9.27277618139601130017E1 +}; +#endif +#ifdef DEC +static unsigned short P[] = { +0140132,0122235,0105775,0130300, +0041100,0127327,0124407,0034722, +0141470,0100113,0115607,0130535, +0041602,0164721,0003257,0013673, +0141367,0043046,0166673,0045750 +}; +static unsigned short Q[] = { +/*0040200,0000000,0000000,0000000,*/ +0141234,0101326,0015460,0134564, +0041731,0160115,0116451,0032045, +0142171,0153343,0000532,0167226, +0042174,0000665,0077604,0000310, +0141671,0072235,0031114,0074377 +}; +#endif + +#ifdef IBMPC +static unsigned short P[] = { +0xb618,0xb17f,0x5493,0xbfeb, +0xe73a,0xf520,0x15da,0x4028, +0xf62c,0x7370,0x1009,0xc047, +0xe2f7,0x20d5,0x5d3a,0x4050, +0x697d,0xddb7,0xe8c4,0xc03e +}; +static unsigned short Q[] = { +/*0x0000,0x0000,0x0000,0x3ff0,*/ +0x172f,0xc366,0x905a,0xc033, +0x2685,0xb3a5,0x3c09,0x405b, +0x5dd3,0x602b,0x3adc,0xc06f, +0x8019,0xaff0,0x8036,0x406f, +0x8f20,0xa649,0x2e93,0xc057 +}; +#endif + +#ifdef MIEEE +static unsigned short P[] = { +0xbfeb,0x5493,0xb17f,0xb618, +0x4028,0x15da,0xf520,0xe73a, +0xc047,0x1009,0x7370,0xf62c, +0x4050,0x5d3a,0x20d5,0xe2f7, +0xc03e,0xe8c4,0xddb7,0x697d +}; +static unsigned short Q[] = { +0xc033,0x905a,0xc366,0x172f, +0x405b,0x3c09,0xb3a5,0x2685, +0xc06f,0x3adc,0x602b,0x5dd3, +0x406f,0x8036,0xaff0,0x8019, +0xc057,0x2e93,0xa649,0x8f20 +}; +#endif + +#ifdef ANSIPROT +extern double fabs ( double ); +extern double log ( double x ); +extern double polevl ( double x, void *P, int N ); +extern double p1evl ( double x, void *P, int N ); +#else +double fabs(), log(), polevl(), p1evl(); +#endif +extern double INFINITY, NAN; + +double atanh(x) +double x; +{ +double s, z; + +#ifdef MINUSZERO +if( x == 0.0 ) + return(x); +#endif +z = fabs(x); +if( z >= 1.0 ) + { + if( x == 1.0 ) + return( INFINITY ); + if( x == -1.0 ) + return( -INFINITY ); + mtherr( "atanh", DOMAIN ); + return( NAN ); + } + +if( z < 1.0e-7 ) + return(x); + +if( z < 0.5 ) + { + z = x * x; + s = x + x * z * (polevl(z, P, 4) / p1evl(z, Q, 5)); + return(s); + } + +return( 0.5 * log((1.0+x)/(1.0-x)) ); +} |