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Diffstat (limited to 'libm/double/tanh.c')
-rw-r--r-- | libm/double/tanh.c | 141 |
1 files changed, 141 insertions, 0 deletions
diff --git a/libm/double/tanh.c b/libm/double/tanh.c new file mode 100644 index 000000000..910a4188e --- /dev/null +++ b/libm/double/tanh.c @@ -0,0 +1,141 @@ +/* tanh.c + * + * Hyperbolic tangent + * + * + * + * SYNOPSIS: + * + * double x, y, tanh(); + * + * y = tanh( x ); + * + * + * + * DESCRIPTION: + * + * Returns hyperbolic tangent of argument in the range MINLOG to + * MAXLOG. + * + * A rational function is used for |x| < 0.625. The form + * x + x**3 P(x)/Q(x) of Cody _& Waite is employed. + * Otherwise, + * tanh(x) = sinh(x)/cosh(x) = 1 - 2/(exp(2x) + 1). + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * DEC -2,2 50000 3.3e-17 6.4e-18 + * IEEE -2,2 30000 2.5e-16 5.8e-17 + * + */ + +/* +Cephes Math Library Release 2.8: June, 2000 +Copyright 1984, 1995, 2000 by Stephen L. Moshier +*/ + +#include <math.h> + +#ifdef UNK +static double P[] = { +-9.64399179425052238628E-1, +-9.92877231001918586564E1, +-1.61468768441708447952E3 +}; +static double Q[] = { +/* 1.00000000000000000000E0,*/ + 1.12811678491632931402E2, + 2.23548839060100448583E3, + 4.84406305325125486048E3 +}; +#endif +#ifdef DEC +static unsigned short P[] = { +0140166,0161335,0053753,0075126, +0141706,0111520,0070463,0040552, +0142711,0153001,0101300,0025430 +}; +static unsigned short Q[] = { +/*0040200,0000000,0000000,0000000,*/ +0041741,0117624,0051300,0156060, +0043013,0133720,0071251,0127717, +0043227,0060201,0021020,0020136 +}; +#endif + +#ifdef IBMPC +static unsigned short P[] = { +0x6f4b,0xaafd,0xdc5b,0xbfee, +0x682d,0x0e26,0xd26a,0xc058, +0x0563,0x3058,0x3ac0,0xc099 +}; +static unsigned short Q[] = { +/*0x0000,0x0000,0x0000,0x3ff0,*/ +0x1b86,0x8a58,0x33f2,0x405c, +0x35fa,0x0e55,0x76fa,0x40a1, +0x040c,0x2442,0xec10,0x40b2 +}; +#endif + +#ifdef MIEEE +static unsigned short P[] = { +0xbfee,0xdc5b,0xaafd,0x6f4b, +0xc058,0xd26a,0x0e26,0x682d, +0xc099,0x3ac0,0x3058,0x0563 +}; +static unsigned short Q[] = { +0x405c,0x33f2,0x8a58,0x1b86, +0x40a1,0x76fa,0x0e55,0x35fa, +0x40b2,0xec10,0x2442,0x040c +}; +#endif + +#ifdef ANSIPROT +extern double fabs ( double ); +extern double exp ( double ); +extern double polevl ( double, void *, int ); +extern double p1evl ( double, void *, int ); +#else +double fabs(), exp(), polevl(), p1evl(); +#endif +extern double MAXLOG; + +double tanh(x) +double x; +{ +double s, z; + +#ifdef MINUSZERO +if( x == 0.0 ) + return(x); +#endif +z = fabs(x); +if( z > 0.5 * MAXLOG ) + { + if( x > 0 ) + return( 1.0 ); + else + return( -1.0 ); + } +if( z >= 0.625 ) + { + s = exp(2.0*z); + z = 1.0 - 2.0/(s + 1.0); + if( x < 0 ) + z = -z; + } +else + { + if( x == 0.0 ) + return(x); + s = x * x; + z = polevl( s, P, 2 )/p1evl(s, Q, 3); + z = x * s * z; + z = x + z; + } +return( z ); +} |