Calculates the upper and lower incomplete gamma functions as well as their normalized versions. More...

Include dependency graph for incGamma.C:

Namespaces
	Foam
	Namespace for OpenFOAM.

Functions
static scalar	calcQE11 (const scalar a, const scalar x, const int e=30)

static scalar	calcPE15 (const scalar a, const scalar x, const int nmax=20)

static scalar	calcQE16 (const scalar a, const scalar x, const int N=20)

static scalar	calcTE18 (const scalar a, const scalar e0, const scalar x, const scalar lambda, const scalar sigma, const scalar phi)

Detailed Description

Calculates the upper and lower incomplete gamma functions as well as their normalized versions.

Original source file incGamma.C

The algorithm is described in detail in DiDonato et al. (1986).

    DiDonato, A. R., & Morris Jr, A. H. (1986).
    Computation of the incomplete gamma function ratios and their inverse.
    ACM Transactions on Mathematical Software (TOMS), 12(4), 377-393.

All equation numbers in the following code refer to the above paper. The algorithm in function 'incGammaRatio_Q' is described in section 3. The accuracy parameter IND is set to a value of 1.

Definition in file incGamma.C.

Namespaces

Functions

Detailed Description