num_collect::functions Namespace Reference

Namespace of special functions. More...

Namespaces
namespace	impl
	Namespace of internal implementations.

Classes
class	legendre_roots
	Class of roots of Legendre function. More...

Functions
constexpr auto	gamma (double x) -> double
	Calculate a value of gamma function.
constexpr auto	gamma (float x) -> float
	Calculate a value of gamma function.
constexpr auto	gamma (std::complex< double > x) -> std::complex< double >
	Calculate a value of gamma function.
constexpr auto	gamma (std::complex< float > x) -> std::complex< float >
	Calculate a value of gamma function.
template<base::concepts::real_scalar F, base::concepts::integral I>
constexpr auto	legendre (F x, I n) -> F
	Calculate Legendre function.
template<base::concepts::real_scalar F, base::concepts::integral I>
constexpr auto	legendre_with_diff (F x, I n) -> std::pair< F, F >
	Calculate Legendre function and its differential coefficient.
constexpr auto	log_gamma (double x) -> double
	Calculate a natural logarithm of a value of gamma function.
constexpr auto	log_gamma (float x) -> float
	Calculate a natural logarithm of a value of gamma function.

Detailed Description

Namespace of special functions.

Function Documentation

gamma() [1/4]

auto num_collect::functions::gamma ( double x ) -> double

nodiscardconstexpr

Calculate a value of gamma function.

Parameters

[in]

x

Argument.

Returns

Value.

Definition at line 51 of file gamma.h.

gamma() [2/4]

auto num_collect::functions::gamma ( float x ) -> float

nodiscardconstexpr

Calculate a value of gamma function.

Parameters

[in]

x

Argument.

Returns

Value.

Definition at line 35 of file gamma.h.

gamma() [3/4]

auto num_collect::functions::gamma ( std::complex< double > x ) -> std::complex<double>

nodiscardconstexpr

Calculate a value of gamma function.

Parameters

[in]

x

Argument.

Returns

Value.

Definition at line 84 of file gamma.h.

gamma() [4/4]

auto num_collect::functions::gamma ( std::complex< float > x ) -> std::complex<float>

nodiscardconstexpr

Calculate a value of gamma function.

Parameters

[in]

x

Argument.

Returns

Value.

Definition at line 67 of file gamma.h.

legendre()

template<base::concepts::real_scalar F, base::concepts::integral I>

auto num_collect::functions::legendre ( F x, I n ) -> F

constexpr

Calculate Legendre function.

Template Parameters

F	Type of x (floating-point number).
I	Type of n (integer).

Parameters

[in]	x	Variable.
[in]	n	Degree of the Legendre function.

Returns

Value of n-thLegendre function of x.

Definition at line 44 of file legendre.h.

legendre_with_diff()

template<base::concepts::real_scalar F, base::concepts::integral I>

auto num_collect::functions::legendre_with_diff ( F x, I n ) -> std::pair<F, F>

constexpr

Calculate Legendre function and its differential coefficient.

Template Parameters

F	Type of x (floating-point number).
I	Type of n (integer).

Parameters

[in]	x	Variable.
[in]	n	Degree of the Legendre function.

Returns

n-thLegendre function and its differential coefficient of x.

Definition at line 80 of file legendre.h.

log_gamma() [1/2]

auto num_collect::functions::log_gamma ( double x ) -> double

nodiscardconstexpr

Calculate a natural logarithm of a value of gamma function.

Parameters

[in]

x

Argument.

Returns

Value.

Definition at line 111 of file gamma.h.

log_gamma() [2/2]

auto num_collect::functions::log_gamma ( float x ) -> float

nodiscardconstexpr

Calculate a natural logarithm of a value of gamma function.

Parameters

[in]

x

Argument.

Returns

Value.

Definition at line 101 of file gamma.h.