Special functions

Macros
#define	MIRML_FACT_NMAX   170
#define	MIRML_GAMMA_XMAX   171.0

Functions
mirkl_error_t *	mirml_lngamma_f (double x, double *res, double *err, double *sgn)
double	mirml_lngamma (double x)
mirkl_error_t *	mirml_gamma_f (double x, double *res, double *err)
mirkl_error_t *	mirml_lnfact_f (unsigned int n, double *res, double *err)
double	mirml_lngamma_stirling (double x)

Detailed Description

Macro Definition Documentation

MIRML_FACT_NMAX

#define MIRML_FACT_NMAX   170

Maximum n for which n! does not overflow

MIRML_GAMMA_XMAX

#define MIRML_GAMMA_XMAX   171.0

The maximum x such that gamma(x) does not overflow.

Function Documentation

mirml_lngamma_stirling()

double mirml_lngamma_stirling

(

double

x

)

Return natural log of gamma function.

Parameters

[in]

x

Argument, must be > 0.

Note

Computes natural logarithm of Gamma(x) using an asymptotic Stirling's expansion, see Abramowitz & Stegun, Handbook of Mathematical Functions, 1964 [Eq. 6.1.41]