C# Class Accord.Math.Gamma

Set of special mathematic functions.

References: Cephes Math Library, http://www.netlib.org/cephes/

ファイルを表示 Open project: accord-net/framework Class Usage Examples

Public Methods

Method	Description
Digamma ( double x ) : double	Digamma function.
Function ( double x ) : double	Gamma function of the specified value.
Inverse ( double a, double y ) : double	Inverse of the complemented incomplete Gamma integral (UpperIncomplete, Q).
InverseLowerIncomplete ( double a, double y ) : double	Inverse of the incomplete Gamma integral (LowerIncomplete, P).
InverseUpperIncomplete ( double a, double y ) : double	Inverse of the complemented incomplete Gamma integral (UpperIncomplete, Q).
Log ( double x ) : double	Natural logarithm of the gamma function.
Log ( double x, int p ) : double	Natural logarithm of the multivariate Gamma function.
LowerIncomplete ( double a, double x ) : double	Lower incomplete regularized gamma function P (a.k.a. the incomplete Gamma function). This function is equivalent to P(x) = γ(s, x) / Γ(s).
Multivariate ( double x, int p ) : double	Multivariate Gamma function
Stirling ( double x ) : double	Gamma function as computed by Stirling's formula.
Trigamma ( double x ) : double	Trigamma function. This code has been adapted from the FORTRAN77 and subsequent C code by B. E. Schneider and John Burkardt. The code had been made public under the GNU LGPL license.
UpperIncomplete ( double a, double x ) : double	Upper incomplete regularized Gamma function Q (a.k.a the incomplete complemented Gamma function) This function is equivalent to Q(x) = Γ(s, x) / Γ(s).

Private Methods

Method	Description
inverse ( double a, double y ) : double

Method Details

Digamma() public static method

Digamma function.

public static Digamma ( double x ) : double
x	double
return	double

Function() public static method

Gamma function of the specified value.

public static Function ( double x ) : double
x	double
return	double

Inverse() public static method

Inverse of the complemented incomplete Gamma integral (UpperIncomplete, Q).

public static Inverse ( double a, double y ) : double
a	double
y	double
return	double

InverseLowerIncomplete() public static method

Inverse of the incomplete Gamma integral (LowerIncomplete, P).

public static InverseLowerIncomplete ( double a, double y ) : double
a	double
y	double
return	double

InverseUpperIncomplete() public static method

Inverse of the complemented incomplete Gamma integral (UpperIncomplete, Q).

public static InverseUpperIncomplete ( double a, double y ) : double
a	double
y	double
return	double

Log() public static method

Natural logarithm of the gamma function.

public static Log ( double x ) : double
x	double
return	double

Log() public static method

Natural logarithm of the multivariate Gamma function.

public static Log ( double x, int p ) : double
x	double
p	int
return	double

LowerIncomplete() public static method

Lower incomplete regularized gamma function P (a.k.a. the incomplete Gamma function).

This function is equivalent to P(x) = γ(s, x) / Γ(s).

public static LowerIncomplete ( double a, double x ) : double
a	double
x	double
return	double

Multivariate() public static method

Multivariate Gamma function

public static Multivariate ( double x, int p ) : double
x	double
p	int
return	double

Stirling() public static method

Gamma function as computed by Stirling's formula.

public static Stirling ( double x ) : double
x	double
return	double

Trigamma() public static method

Trigamma function.

This code has been adapted from the FORTRAN77 and subsequent C code by B. E. Schneider and John Burkardt. The code had been made public under the GNU LGPL license.

public static Trigamma ( double x ) : double
x	double
return	double

UpperIncomplete() public static method

Upper incomplete regularized Gamma function Q (a.k.a the incomplete complemented Gamma function)

This function is equivalent to Q(x) = Γ(s, x) / Γ(s).

public static UpperIncomplete ( double a, double x ) : double
a	double
x	double
return	double