Trait polylog::Li3

pub trait Li3<T> {
    // Required method
    fn li3(&self) -> T;
}

Provides the 3rd order polylogarithm (trilogarithm) function li3() of a number of type T.

Required Methods

fn li3(&self) -> T

Implementations on Foreign Types

impl Li3<f64> for f64

fn li3(&self) -> f64

Returns the real trilogarithm of a real number of type f64.

Implemented as rational function approximations with a maximum error of less than 2.050e-17 [arXiv:2308.11619].

Example:

use polylog::Li3;

assert!((1.0_f64.li3() - 1.2020569031595943_f64).abs() < std::f64::EPSILON);

impl Li3<Complex<f64>> for Complex<f64>

fn li3(&self) -> Complex<f64>

Returns the trilogarithm of a complex number of type Complex<f64>.

Example:

use num::complex::Complex;
use polylog::Li3;

assert!((Complex::new(1.0_f64, 1.0_f64).li3() - Complex::new(0.8711588834109380_f64, 1.2670834418889240_f64)).norm() < 2.0_f64*std::f64::EPSILON);

Implementors