Trait polylog::Li

pub trait Li<T> {
    // Required method
    fn li(&self, n: i32) -> T;
}

Provides the n-th order polylogarithm function li() of a number of type T.

Required Methods

fn li(&self, n: i32) -> T

Implementations on Foreign Types

impl Li<f64> for f64

fn li(&self, n: i32) -> f64

Returns the real n-th order polylogarithm of a real number of type f64 for all integers n.

The implementation for n < 0 is an adaptation of [arxiv:2010.09860].

Example:

use polylog::Li;

assert!((1.0_f64.li(10) - 1.0009945751278181_f64).abs() < std::f64::EPSILON);

impl Li<Complex<f64>> for Complex<f64>

fn li(&self, n: i32) -> Complex<f64>

Returns the complex n-th order polylogarithm of a complex number of type Complex<f64> for all integers n.

The implementation for n < 0 is an adaptation of [arxiv:2010.09860].

Example:

use num::complex::Complex;
use polylog::Li;

assert!((Complex::new(1.0_f64, 1.0_f64).li(10) - Complex::new(0.9999619510320738_f64, 1.0019864330842581_f64)).norm() < 2.0_f64*std::f64::EPSILON);

Implementors