special_functions.hpp File Reference

#include <cmath>
#include <concepts>
#include <limits>
#include <stdexcept>
#include <string>
#include <type_traits>
#include <randlib/math/constants.hpp>
#include <randlib/math/beta.hpp>
#include <randlib/math/functions.hpp>
#include <randlib/math/gamma.hpp>
#include <randlib/math/quadrature.hpp>
#include <randlib/math/roots.hpp>
#include <randlib/math/optimize.hpp>

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Namespaces
namespace	randlib
namespace	randlib::math
	Beta-related functions.
namespace	randlib::math::portable
namespace	randlib::math::detail

Functions
template<std::floating_point Real>
Real	randlib::math::besselI (std::type_identity_t< Real > nu, Real x)
template<std::floating_point Real>
Real	randlib::math::besselK (std::type_identity_t< Real > nu, Real x)
template<std::floating_point Real>
Real	randlib::math::riemannZeta (Real s)
template<std::floating_point Real>
Real	randlib::math::lgammaCorrection (Real x)
template<std::floating_point Real>
Real	randlib::math::portable::besselI (std::type_identity_t< Real > nu, Real x)
template<std::floating_point Real>
Real	randlib::math::portable::besselK (std::type_identity_t< Real > nu, Real x)
template<std::floating_point Real>
Real	randlib::math::portable::riemannZeta (Real s)
template<std::floating_point Real>
void	randlib::math::detail::reciprocalGammaTerms (Real mu, Real &gam1, Real &gam2, Real &gampl, Real &gammi)
	Values needed by Temme's series for |μ| ≤ 1/2: gam1 = (1/Γ(1-μ) - 1/Γ(1+μ)) / (2μ), gam2 = (1/Γ(1-μ) + 1/Γ(1+μ)) / 2, gampl = 1/Γ(1+μ), gammi = 1/Γ(1-μ).
template<std::floating_point Real>
void	randlib::math::detail::besselIK (Real nu, Real x, Real &ri, Real &rk)
	Temme's method with Steed's continued fraction (Numerical Recipes, "bessik")
template<std::floating_point Real>
void	randlib::math::detail::checkBesselArguments (Real nu, Real x)

Variables
template<std::floating_point Real>
constexpr Real	randlib::math::detail::machineEpsilon = std::numeric_limits<Real>::epsilon()
constexpr int	randlib::math::detail::maxSeriesIterations = 100000