Crate polylog

Polylog

The Polylog package provides Rust implementations of real and complex polylogarithms, including the dilogarithm and trilogarithm.

Example:

use num::complex::Complex;
use polylog::{Li, Li0, Li1, Li2, Li3, Li4, Li5, Li6};

let x = 1.0;
let z = Complex::new(1.0, 1.0);
let n = 10;

// real polylogarithms for real arguments
println!("Li0({}) = {}", x, x.li0());      // Re[Li_0(x)]
println!("Li1({}) = {}", x, x.li1());      // Re[Li_1(x)]
println!("Li2({}) = {}", x, x.li2());      // Re[Li_2(x)] (dilogarithm)
println!("Li3({}) = {}", x, x.li3());      // Re[Li_3(x)] (trilogarithm)
println!("Li4({}) = {}", x, x.li4());      // Re[Li_4(x)]
println!("Li_{}({}) = {}", n, x, x.li(n)); // Re[Li_n(x)]

// complex polylogarithms for complex arguments
println!("Li0({}) = {}", z, z.li0());      // Li_0(z)
println!("Li1({}) = {}", z, z.li1());      // Li_1(z)
println!("Li2({}) = {}", z, z.li2());      // Li_2(z) (dilogarithm)
println!("Li3({}) = {}", z, z.li3());      // Li_3(z) (trilogarithm)
println!("Li4({}) = {}", z, z.li4());      // Li_4(z)
println!("Li5({}) = {}", z, z.li5());      // Li_5(z)
println!("Li6({}) = {}", z, z.li6());      // Li_6(z)
println!("Li_{}({}) = {}", n, z, z.li(n)); // Li_n(z)

Traits

• Li
  Provides the n-th order polylogarithm function li() of a number of type T.
• Li0
  Provides the 0-th order polylogarithm function li0() of a number of type T.
• Li1
  Provides the 1st order polylogarithm function li1() of a number of type T.
• Li2
  Provides the 2nd order polylogarithm (dilogarithm) function li2() of a number of type T.
• Li3
  Provides the 3rd order polylogarithm (trilogarithm) function li3() of a number of type T.
• Li4
  Provides the 4-th order polylogarithm function li4() of a number of type T.
• Li5
  Provides the 5-th order polylogarithm function li5() of a number of type T.
• Li6
  Provides the 6-th order polylogarithm function li6() of a number of type T.