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/ldouble/tanhl.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/ldouble/tanhl.c')
-rw-r--r-- | libm/ldouble/tanhl.c | 129 |
1 files changed, 129 insertions, 0 deletions
diff --git a/libm/ldouble/tanhl.c b/libm/ldouble/tanhl.c new file mode 100644 index 000000000..42c7133c3 --- /dev/null +++ b/libm/ldouble/tanhl.c @@ -0,0 +1,129 @@ +/* tanhl.c + * + * Hyperbolic tangent, long double precision + * + * + * + * SYNOPSIS: + * + * long double x, y, tanhl(); + * + * y = tanhl( x ); + * + * + * + * DESCRIPTION: + * + * Returns hyperbolic tangent of argument in the range MINLOGL to + * MAXLOGL. + * + * 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 + * IEEE -2,2 30000 1.3e-19 2.4e-20 + * + */ + +/* +Cephes Math Library Release 2.7: May, 1998 +Copyright 1984, 1987, 1989, 1998 by Stephen L. Moshier +*/ + +#include <math.h> + +#ifdef UNK +static long double P[] = { +-6.8473739392677100872869E-5L, +-9.5658283111794641589011E-1L, +-8.4053568599672284488465E1L, +-1.3080425704712825945553E3L, +}; +static long double Q[] = { +/* 1.0000000000000000000000E0L,*/ + 9.6259501838840336946872E1L, + 1.8218117903645559060232E3L, + 3.9241277114138477845780E3L, +}; +#endif + +#ifdef IBMPC +static short P[] = { +0xd2a4,0x1b0c,0x8f15,0x8f99,0xbff1, XPD +0x5959,0x9111,0x9cc7,0xf4e2,0xbffe, XPD +0xb576,0xef5e,0x6d57,0xa81b,0xc005, XPD +0xe3be,0xbfbd,0x5cbc,0xa381,0xc009, XPD +}; +static short Q[] = { +/*0x0000,0x0000,0x0000,0x8000,0x3fff,*/ +0x687f,0xce24,0xdd6c,0xc084,0x4005, XPD +0x3793,0xc95f,0xfa2f,0xe3b9,0x4009, XPD +0xd5a2,0x1f9c,0x0b1b,0xf542,0x400a, XPD +}; +#endif + +#ifdef MIEEE +static long P[] = { +0xbff10000,0x8f998f15,0x1b0cd2a4, +0xbffe0000,0xf4e29cc7,0x91115959, +0xc0050000,0xa81b6d57,0xef5eb576, +0xc0090000,0xa3815cbc,0xbfbde3be, +}; +static long Q[] = { +/*0x3fff0000,0x80000000,0x00000000,*/ +0x40050000,0xc084dd6c,0xce24687f, +0x40090000,0xe3b9fa2f,0xc95f3793, +0x400a0000,0xf5420b1b,0x1f9cd5a2, +}; +#endif + +extern long double MAXLOGL; +#ifdef ANSIPROT +extern long double fabsl ( long double ); +extern long double expl ( long double ); +extern long double polevll ( long double, void *, int ); +extern long double p1evll ( long double, void *, int ); +#else +long double fabsl(), expl(), polevll(), p1evll(); +#endif + +long double tanhl(x) +long double x; +{ +long double s, z; + +#ifdef MINUSZERO +if( x == 0.0L ) + return(x); +#endif +z = fabsl(x); +if( z > 0.5L * MAXLOGL ) + { + if( x > 0 ) + return( 1.0L ); + else + return( -1.0L ); + } +if( z >= 0.625L ) + { + s = expl(2.0*z); + z = 1.0L - 2.0/(s + 1.0L); + if( x < 0 ) + z = -z; + } +else + { + s = x * x; + z = polevll( s, P, 3 )/p1evll(s, Q, 3); + z = x * s * z; + z = x + z; + } +return( z ); +} |