polylog.cpp File Reference

#include <cmath>
#include <complex>
#include <array>
#include <vector>
#include "special_generic.h"
#include "gsl/gsl_sf_dilog.h"
#include "gsl/gsl_sf_clausen.h"

Include dependency graph for polylog.cpp:

Go to the source code of this file.

Functions
scalar_t	cd (double x, double y)
scalar_t	hpl_base1 (int i, scalar_t x)
scalar_t	hpl_base2 (int i1, int i2, scalar_t x)
scalar_t	hpl_base3 (int i1, int i2, int i3, scalar_t x)
scalar_t	hpl_base4 (int i1, int i2, int i3, int i4, scalar_t x)
scalar_t	hpl1 (int i, scalar_t x)
scalar_t	hpl2 (int i1, int i2, scalar_t x)
scalar_t	hpl3 (int i1, int i2, int i3, scalar_t x)
scalar_t	hpl4 (int i1, int i2, int i3, int i4, scalar_t x)
template<size_t MAX_N, size_t MAX_M, size_t MAX_LE, size_t MAX_NC>
void	initialize_constants (std::array< std::array< double, MAX_M >, MAX_N > &s1, std::array< std::array< double, MAX_M >, MAX_N > &c, std::array< std::array< double, MAX_NC >, MAX_LE > &a)
scalar_t	polylog (size_t n, size_t m, double x)
double	Li2 (double x)
	Computes the dilogarithm function Li2(x).
double	Li3 (double x)
	Computes the trilogarithm function Li3(x).
scalar_t	Li4 (double x)
scalar_t	CLi2 (scalar_t x)
	Computes the complex dilogarithm function.
scalar_t	CLi3 (scalar_t x)
	Computes the complex trilogarithm function.
scalar_t	CLi4 (scalar_t x)
	Computes the complex quadrilogarithm function.
double	Cl2 (double x)
	Computes the Clausen function Cl2(x).
double	Cl3 (double x)
	Computes the Clausen function Cl3(x).

Variables
const double	zeta3 = 1.202056903159594

Function Documentation

cd()

scalar_t cd	(	double	x,
		double	y
	)

Definition at line 9 of file polylog.cpp.

Cl2()

double Cl2

(

double

x

)

Computes the Clausen function Cl2(x).

Parameters

x	Input value.

Returns

Result of the Clausen function.

Definition at line 1333 of file polylog.cpp.

Cl3()

double Cl3

(

double

x

)

Computes the Clausen function Cl3(x).

Parameters

x	Input value.

Returns

Result of the Clausen function.

Definition at line 1337 of file polylog.cpp.

CLi2()

scalar_t CLi2

(

scalar_t

x

)

Computes the complex dilogarithm function.

Parameters

x	Complex input value.

Returns

Complex dilogarithm result.

Definition at line 1312 of file polylog.cpp.

CLi3()

scalar_t CLi3

(

scalar_t

x

)

Computes the complex trilogarithm function.

Parameters

x	Complex input value.

Returns

Complex trilogarithm result.

Definition at line 1320 of file polylog.cpp.

CLi4()

scalar_t CLi4

(

scalar_t

x

)

Computes the complex quadrilogarithm function.

Parameters

x	Complex input value.

Returns

Complex quadrilogarithm result.

Definition at line 1326 of file polylog.cpp.

hpl1()

scalar_t hpl1	(	int	i,
		scalar_t	x
	)

Definition at line 123 of file polylog.cpp.

hpl2()

scalar_t hpl2	(	int	i1,
		int	i2,
		scalar_t	x
	)

Definition at line 129 of file polylog.cpp.

hpl3()

scalar_t hpl3	(	int	i1,
		int	i2,
		int	i3,
		scalar_t	x
	)

Definition at line 170 of file polylog.cpp.

hpl4()

scalar_t hpl4	(	int	i1,
		int	i2,
		int	i3,
		int	i4,
		scalar_t	x
	)

Definition at line 224 of file polylog.cpp.

hpl_base1()

scalar_t hpl_base1	(	int	i,
		scalar_t	x
	)

Definition at line 13 of file polylog.cpp.

hpl_base2()

scalar_t hpl_base2	(	int	i1,
		int	i2,
		scalar_t	x
	)

Definition at line 19 of file polylog.cpp.

hpl_base3()

scalar_t hpl_base3	(	int	i1,
		int	i2,
		int	i3,
		scalar_t	x
	)

Definition at line 40 of file polylog.cpp.

hpl_base4()

scalar_t hpl_base4	(	int	i1,
		int	i2,
		int	i3,
		int	i4,
		scalar_t	x
	)

Definition at line 82 of file polylog.cpp.

initialize_constants()

template<size_t MAX_N, size_t MAX_M, size_t MAX_LE, size_t MAX_NC>

void initialize_constants	(	std::array< std::array< double, MAX_M >, MAX_N > &	s1,
		std::array< std::array< double, MAX_M >, MAX_N > &	c,
		std::array< std::array< double, MAX_NC >, MAX_LE > &	a
	)

Definition at line 827 of file polylog.cpp.

Li2()

double Li2

(

double

x

)

Computes the dilogarithm function Li2(x).

Parameters

x	Input value.

Returns

Result of the dilogarithm.

Definition at line 1257 of file polylog.cpp.

Li3()

double Li3

(

double

x

)

Computes the trilogarithm function Li3(x).

Parameters

x	Input value.

Returns

Result of the trilogarithm.

Definition at line 1267 of file polylog.cpp.

Li4()

scalar_t Li4

(

double

x

)

Definition at line 1303 of file polylog.cpp.

polylog()

scalar_t polylog	(	size_t	n,
		size_t	m,
		double	x
	)

Definition at line 1109 of file polylog.cpp.

Variable Documentation

zeta3

const double zeta3 = 1.202056903159594

Definition at line 1265 of file polylog.cpp.