LiSK::LiSK< numtype >::constants< T > Struct Template Reference

Constants. More...

Public Member Functions
	constants (const size_t Li_n)
	C'stor. More...

Public Attributes
std::vector< T >	HarmNum
	Harmonic numbers H(n) for n=1,2,3,... More...
std::vector< T >	PosZeta
	zeta(n) for n=0,(1),2,3,4. More...
std::vector< T >	NegZeta
	zeta(n) for n<0 and n odd. More...
std::vector< T >	Factorials
	Factorials n! (n>170 exceeds double precision). More...
std::vector< T >	BernNum
	Bernoulli numbers of first kind, i.e. More...
std::vector< std::vector< T > >	LiCij
	Li constants Cij/(j+1)! from eq. More...
std::vector< std::vector< T > >	LiBn_eq59
	Li constants B_{2n}/(2n*(2n+m)!) from eq. More...
std::unordered_map< std::string, size_t >	max_values
	Max values for available constants. More...

Detailed Description

template<typename numtype>
template<typename T>
struct LiSK::LiSK< numtype >::constants< T >

Constants.

Note

Collection of constants which are precomputed during initialisation and stored. If additional constants are required during runtime the existing set will be extended. Initial maximum values can be set in _init.

Constructor & Destructor Documentation

constants()

template<typename numtype >

template<typename T >

LiSK::constants::constants

(

const size_t

Li_n

)

C'stor.

Note

Pre-compute constants needed for the evaluation of Li_n and Li_22.

Parameters

Li_n	Set expected weight of classical polylogarithms

Member Data Documentation

BernNum

template<typename numtype >

template<typename T >

std::vector<T> LiSK::LiSK< numtype >::constants< T >::BernNum

Bernoulli numbers of first kind, i.e.

B_1 = -1/2. The vector is {B_0,B_1,B_2n} with n=1,2,3,...

Factorials

template<typename numtype >

template<typename T >

std::vector<T> LiSK::LiSK< numtype >::constants< T >::Factorials

Factorials n! (n>170 exceeds double precision).

HarmNum

template<typename numtype >

template<typename T >

std::vector<T> LiSK::LiSK< numtype >::constants< T >::HarmNum

Harmonic numbers H(n) for n=1,2,3,...

LiBn_eq59

template<typename numtype >

template<typename T >

std::vector<std::vector<T> > LiSK::LiSK< numtype >::constants< T >::LiBn_eq59

Li constants B_{2n}/(2n*(2n+m)!) from eq.

(5.9)

LiCij

template<typename numtype >

template<typename T >

std::vector<std::vector<T> > LiSK::LiSK< numtype >::constants< T >::LiCij

Li constants Cij/(j+1)! from eq.

(5.10)

max_values

template<typename numtype >

template<typename T >

std::unordered_map<std::string, size_t> LiSK::LiSK< numtype >::constants< T >::max_values

Max values for available constants.

The keys are named following the convention "n"+"vector name", e.g. nHarmNum. In addition "nweight" is set and determines the highest weigth for which the constants are computed.

NegZeta

template<typename numtype >

template<typename T >

std::vector<T> LiSK::LiSK< numtype >::constants< T >::NegZeta

zeta(n) for n<0 and n odd.

All negative even n give zero

PosZeta

template<typename numtype >

template<typename T >

std::vector<T> LiSK::LiSK< numtype >::constants< T >::PosZeta

zeta(n) for n=0,(1),2,3,4.

n=1 is kept but set to 0

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The documentation for this struct was generated from the following files:

• include/algorithm/LiSK/lisk.hpp
• include/algorithm/LiSK/lisk.ipp