flexiblesusy::anonymous_namespace{Li.cpp} Namespace Reference

Functions
std::complex< double >	clog (const std::complex< double > &z) noexcept
	complex logarithm, converts -0.0 to 0.0
constexpr bool	is_even (int64_t n) noexcept
constexpr bool	is_finite (const std::complex< double > &z) noexcept
std::complex< double >	Li_rest (int64_t n, const std::complex< double > &z) noexcept
	returns remainder from inversion formula
std::complex< double >	Li_series (int64_t n, const std::complex< double > &z) noexcept
std::complex< double >	Li_unity_neg (int64_t n, const std::complex< double > &z) noexcept
	Series expansion of Li_n(z) around z ~ 1, n < 0.
std::complex< double >	Li_unity_pos (int64_t n, const std::complex< double > &z) noexcept
	Series expansion of Li_n(z) around z ~ 1, n > 0.
std::complex< double >	stable_pow (const std::complex< double > &z, int64_t n) noexcept
	returns z^n, treating Re(z) == 0 and Im(z) == 0 in a stable way

Variables
constexpr double	inf = std::numeric_limits<double>::infinity()
constexpr double	nan = std::numeric_limits<double>::quiet_NaN()
constexpr double	PI = 3.1415926535897932

Function Documentation

clog()

std::complex< double > flexiblesusy::anonymous_namespace{Li.cpp}::clog ( const std::complex< double > &  z )

noexcept

complex logarithm, converts -0.0 to 0.0

Definition at line 49 of file Li.cpp.

References clog(), and PI.

Referenced by clog(), Li_rest(), Li_unity_neg(), and Li_unity_pos().

is_even()

constexpr bool flexiblesusy::anonymous_namespace{Li.cpp}::is_even ( int64_t  n )

constexprnoexcept

Definition at line 41 of file Li.cpp.

is_finite()

constexpr bool flexiblesusy::anonymous_namespace{Li.cpp}::is_finite ( const std::complex< double > &  z )

constexprnoexcept

Definition at line 43 of file Li.cpp.

Li_rest()

std::complex< double > flexiblesusy::anonymous_namespace{Li.cpp}::Li_rest ( int64_t  n, const std::complex< double > &  z  )

noexcept

returns remainder from inversion formula

Definition at line 159 of file Li.cpp.

References clog(), flexiblesusy::inv_fac(), Li_rest(), flexiblesusy::neg_eta(), and flexiblesusy::sum().

Referenced by Li_rest().

Li_series()

std::complex< double > flexiblesusy::anonymous_namespace{Li.cpp}::Li_series ( int64_t  n, const std::complex< double > &  z  )

noexcept

Series expansion of Li_n(z) in terms of powers of z. Fast convergence for large n >= 12.

Definition at line 61 of file Li.cpp.

References flexiblesusy::is_finite(), Li_series(), and flexiblesusy::sum().

Referenced by Li_series().

Li_unity_neg()

std::complex< double > flexiblesusy::anonymous_namespace{Li.cpp}::Li_unity_neg ( int64_t  n, const std::complex< double > &  z  )

noexcept

Series expansion of Li_n(z) around z ~ 1, n < 0.

Definition at line 129 of file Li.cpp.

References clog(), flexiblesusy::inv_fac(), flexiblesusy::is_finite(), Li_unity_neg(), stable_pow(), flexiblesusy::sum(), and flexiblesusy::zeta().

Referenced by Li_unity_neg().

Li_unity_pos()

std::complex< double > flexiblesusy::anonymous_namespace{Li.cpp}::Li_unity_pos ( int64_t  n, const std::complex< double > &  z  )

noexcept

Series expansion of Li_n(z) around z ~ 1, n > 0.

Definition at line 79 of file Li.cpp.

References clog(), flexiblesusy::harmonic(), Li_unity_pos(), flexiblesusy::sum(), and flexiblesusy::zeta().

Referenced by Li_unity_pos().

stable_pow()

std::complex< double > flexiblesusy::anonymous_namespace{Li.cpp}::stable_pow ( const std::complex< double > &  z, int64_t  n  )

noexcept

returns z^n, treating Re(z) == 0 and Im(z) == 0 in a stable way

Definition at line 110 of file Li.cpp.

References stable_pow().

Referenced by Li_unity_neg(), and stable_pow().

Variable Documentation

inf

constexpr double flexiblesusy::anonymous_namespace{Li.cpp}::inf = std::numeric_limits<double>::infinity()

constexpr

Definition at line 37 of file Li.cpp.

nan

constexpr double flexiblesusy::anonymous_namespace{Li.cpp}::nan = std::numeric_limits<double>::quiet_NaN()

constexpr

Definition at line 38 of file Li.cpp.

PI

constexpr double flexiblesusy::anonymous_namespace{Li.cpp}::PI = 3.1415926535897932

constexpr

Definition at line 39 of file Li.cpp.

Referenced by clog().