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Diffstat (limited to 'libm/double/sinh.c')
-rw-r--r-- | libm/double/sinh.c | 148 |
1 files changed, 148 insertions, 0 deletions
diff --git a/libm/double/sinh.c b/libm/double/sinh.c new file mode 100644 index 000000000..545bd6826 --- /dev/null +++ b/libm/double/sinh.c @@ -0,0 +1,148 @@ +/* sinh.c + * + * Hyperbolic sine + * + * + * + * SYNOPSIS: + * + * double x, y, sinh(); + * + * y = sinh( x ); + * + * + * + * DESCRIPTION: + * + * Returns hyperbolic sine of argument in the range MINLOG to + * MAXLOG. + * + * 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 + * DEC +- 88 50000 4.0e-17 7.7e-18 + * IEEE +-MAXLOG 30000 2.6e-16 5.7e-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[] = { +-7.89474443963537015605E-1, +-1.63725857525983828727E2, +-1.15614435765005216044E4, +-3.51754964808151394800E5 +}; +static double Q[] = { +/* 1.00000000000000000000E0,*/ +-2.77711081420602794433E2, + 3.61578279834431989373E4, +-2.11052978884890840399E6 +}; +#endif + +#ifdef DEC +static unsigned short P[] = { +0140112,0015377,0042731,0163255, +0142043,0134721,0146177,0123761, +0143464,0122706,0034353,0006017, +0144653,0140536,0157665,0054045 +}; +static unsigned short Q[] = { +/*0040200,0000000,0000000,0000000,*/ +0142212,0155404,0133513,0022040, +0044015,0036723,0173271,0011053, +0145400,0150407,0023710,0001034 +}; +#endif + +#ifdef IBMPC +static unsigned short P[] = { +0x3cd6,0xe8bb,0x435f,0xbfe9, +0xf4fe,0x398f,0x773a,0xc064, +0x6182,0xc71d,0x94b8,0xc0c6, +0xab05,0xdbf6,0x782b,0xc115 +}; +static unsigned short Q[] = { +/*0x0000,0x0000,0x0000,0x3ff0,*/ +0x6484,0x96e9,0x5b60,0xc071, +0x2245,0x7ed7,0xa7ba,0x40e1, +0x0044,0xe4f9,0x1a20,0xc140 +}; +#endif + +#ifdef MIEEE +static unsigned short P[] = { +0xbfe9,0x435f,0xe8bb,0x3cd6, +0xc064,0x773a,0x398f,0xf4fe, +0xc0c6,0x94b8,0xc71d,0x6182, +0xc115,0x782b,0xdbf6,0xab05 +}; +static unsigned short Q[] = { +0xc071,0x5b60,0x96e9,0x6484, +0x40e1,0xa7ba,0x7ed7,0x2245, +0xc140,0x1a20,0xe4f9,0x0044 +}; +#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 INFINITY, MINLOG, MAXLOG, LOGE2; + +double sinh(x) +double x; +{ +double a; + +#ifdef MINUSZERO +if( x == 0.0 ) + return(x); +#endif +a = fabs(x); +if( (x > (MAXLOG + LOGE2)) || (x > -(MINLOG-LOGE2) ) ) + { + mtherr( "sinh", DOMAIN ); + if( x > 0 ) + return( INFINITY ); + else + return( -INFINITY ); + } +if( a > 1.0 ) + { + if( a >= (MAXLOG - LOGE2) ) + { + a = exp(0.5*a); + a = (0.5 * a) * a; + if( x < 0 ) + a = -a; + return(a); + } + a = exp(a); + a = 0.5*a - (0.5/a); + if( x < 0 ) + a = -a; + return(a); + } + +a *= a; +return( x + x * a * (polevl(a,P,3)/p1evl(a,Q,3)) ); +} |