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/sinhl.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/ldouble/sinhl.c')
-rw-r--r-- | libm/ldouble/sinhl.c | 150 |
1 files changed, 150 insertions, 0 deletions
diff --git a/libm/ldouble/sinhl.c b/libm/ldouble/sinhl.c new file mode 100644 index 000000000..0533a1c7a --- /dev/null +++ b/libm/ldouble/sinhl.c @@ -0,0 +1,150 @@ +/* sinhl.c + * + * Hyperbolic sine, long double precision + * + * + * + * SYNOPSIS: + * + * long double x, y, sinhl(); + * + * y = sinhl( x ); + * + * + * + * DESCRIPTION: + * + * Returns hyperbolic sine of argument in the range MINLOGL to + * MAXLOGL. + * + * The range is partitioned into two segments. If |x| <= 1, a + * rational function of the form x + x**3 P(x)/Q(x) is employed. + * Otherwise the calculation is sinh(x) = ( exp(x) - exp(-x) )/2. + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -2,2 10000 1.5e-19 3.9e-20 + * IEEE +-10000 30000 1.1e-19 2.8e-20 + * + */ + +/* +Cephes Math Library Release 2.7: January, 1998 +Copyright 1984, 1991, 1998 by Stephen L. Moshier +*/ + +#include <math.h> + +#ifdef UNK +static long double P[] = { + 1.7550769032975377032681E-6L, + 4.1680702175874268714539E-4L, + 3.0993532520425419002409E-2L, + 9.9999999999999999998002E-1L, +}; +static long double Q[] = { + 1.7453965448620151484660E-8L, +-5.9116673682651952419571E-6L, + 1.0599252315677389339530E-3L, +-1.1403880487744749056675E-1L, + 6.0000000000000000000200E0L, +}; +#endif + +#ifdef IBMPC +static short P[] = { +0xec6a,0xd942,0xfbb3,0xeb8f,0x3feb, XPD +0x365e,0xb30a,0xe437,0xda86,0x3ff3, XPD +0x8890,0x01f6,0x2612,0xfde6,0x3ff9, XPD +0x0000,0x0000,0x0000,0x8000,0x3fff, XPD +}; +static short Q[] = { +0x4edd,0x4c21,0xad09,0x95ed,0x3fe5, XPD +0x4376,0x9b70,0xd605,0xc65c,0xbfed, XPD +0xc8ad,0x5d21,0x3069,0x8aed,0x3ff5, XPD +0x9c32,0x6374,0x2d4b,0xe98d,0xbffb, XPD +0x0000,0x0000,0x0000,0xc000,0x4001, XPD +}; +#endif + +#ifdef MIEEE +static long P[] = { +0x3feb0000,0xeb8ffbb3,0xd942ec6a, +0x3ff30000,0xda86e437,0xb30a365e, +0x3ff90000,0xfde62612,0x01f68890, +0x3fff0000,0x80000000,0x00000000, +}; +static long Q[] = { +0x3fe50000,0x95edad09,0x4c214edd, +0xbfed0000,0xc65cd605,0x9b704376, +0x3ff50000,0x8aed3069,0x5d21c8ad, +0xbffb0000,0xe98d2d4b,0x63749c32, +0x40010000,0xc0000000,0x00000000, +}; +#endif + +extern long double MAXNUML, MAXLOGL, MINLOGL, LOGE2L; +#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 +#ifdef INFINITIES +extern long double INFINITYL; +#endif +#ifdef NANS +extern long double NANL; +#endif + +long double sinhl(x) +long double x; +{ +long double a; + +#ifdef MINUSZERO +if( x == 0.0 ) + return(x); +#endif +a = fabsl(x); +if( (x > (MAXLOGL + LOGE2L)) || (x > -(MINLOGL-LOGE2L) ) ) + { + mtherr( "sinhl", DOMAIN ); +#ifdef INFINITIES + if( x > 0.0L ) + return( INFINITYL ); + else + return( -INFINITYL ); +#else + if( x > 0.0L ) + return( MAXNUML ); + else + return( -MAXNUML ); +#endif + } +if( a > 1.0L ) + { + if( a >= (MAXLOGL - LOGE2L) ) + { + a = expl(0.5L*a); + a = (0.5L * a) * a; + if( x < 0.0L ) + a = -a; + return(a); + } + a = expl(a); + a = 0.5L*a - (0.5L/a); + if( x < 0.0L ) + a = -a; + return(a); + } + +a *= a; +return( x + x * a * (polevll(a,P,3)/polevll(a,Q,4)) ); +} |