fstats_special_functions

Uses

- ieee_arithmetic
- iso_fortran_env

Functions

beta digamma incomplete_beta incomplete_gamma_lower incomplete_gamma_upper regularized_beta

Functions

public pure elemental function beta(a, b) result(rst)

Computes the beta function.

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in)			::	a	The first argument of the function.
real(kind=real64),	intent(in)			::	b	The second argument of the function.

Return Value real(kind=real64)

The value of the beta function at $a$ and $b$ .

public pure elemental function digamma(x) result(rst)

Computes the digamma function.

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in)			::	x	The value at which to evaluate the function.

Return Value real(kind=real64)

The function value.

public pure elemental function incomplete_beta(a, b, x) result(rst)

Computes the incomplete beta function.

Arguments

Type	Intent		Name
real(kind=real64),	intent(in)	::	a	The first argument of the function.
real(kind=real64),	intent(in)	::	b	The second argument of the function.
real(kind=real64),	intent(in)	::	x	The upper limit of the integration.

Return Value real(kind=real64)

The value of the incomplete beta function.

public pure elemental function incomplete_gamma_lower(a, x) result(rst)

Computes the lower incomplete gamma function.

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in)			::	a	The coefficient value.
real(kind=real64),	intent(in)			::	x	The value at which to evaluate the function.

Return Value real(kind=real64)

The function value.

public pure elemental function incomplete_gamma_upper(a, x) result(rst)

Computes the upper incomplete gamma function.

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in)			::	a	The coefficient value.
real(kind=real64),	intent(in)			::	x	The value at which to evaluate the function.

Return Value real(kind=real64)

The function value.

public pure elemental function regularized_beta(a, b, x) result(rst)

Computes the regularized beta function.

Arguments

Type	Intent		Name
real(kind=real64),	intent(in)	::	a	The first argument of the function.
real(kind=real64),	intent(in)	::	b	The second argument of the function.
real(kind=real64),	intent(in)	::	x	The upper limit of the integration.

Return Value real(kind=real64)

The value of the regularized beta function.

fstats_special_functions Module

Contents

Functions

Uses

Contents

Functions

Functions

public pure elemental function beta(a, b) result(rst)

Arguments

Return Value real(kind=real64)

public pure elemental function digamma(x) result(rst)

Arguments

Return Value real(kind=real64)

public pure elemental function incomplete_beta(a, b, x) result(rst)

Arguments

Return Value real(kind=real64)

public pure elemental function incomplete_gamma_lower(a, x) result(rst)

Arguments

Return Value real(kind=real64)

public pure elemental function incomplete_gamma_upper(a, x) result(rst)

Arguments

Return Value real(kind=real64)

public pure elemental function regularized_beta(a, b, x) result(rst)

Arguments

Return Value real(kind=real64)