https://github.com/expander/clausen.rs

Clausen functions in rust
https://github.com/expander/clausen.rs

math rust special-functions

Last synced: 2 months ago
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Clausen functions in rust

• Host: GitHub
• URL: https://github.com/expander/clausen.rs
• Owner: Expander
• Created: 2023-11-10T06:13:50.000Z (over 2 years ago)
• Default Branch: main
• Last Pushed: 2024-12-02T08:53:22.000Z (over 1 year ago)
• Last Synced: 2025-10-20T08:54:08.074Z (6 months ago)
• Topics: math, rust, special-functions
• Language: Rust
• Homepage:
• Size: 585 KB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • Citation: CITATION.cff

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README

          
clausen

=======

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[![Documentation](https://docs.rs/clausen/badge.svg)](https://docs.rs/clausen/)

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The clausen package provides Rust implementations of the Standard

Clausen functions and Glaisher-Clausen functions of integer order for

real or complex arguments.

The clausen package depends on the `num` and the `polylog` crates.

Example

-------

```rust

use clausen::{Cl, Sl};

use num::complex::Complex;

let x = 1.0;

let z = Complex::new(1.0, 1.0);

let n = 2;

println!("Cl_{}({}) = {}", n, x, x.cl(n)); // Cl_n(x)

println!("Cl_{}({}) = {}", n, z, z.cl(n)); // Cl_n(z)

println!("Sl_{}({}) = {}", n, x, x.sl(n)); // Sl_n(x)

println!("Sl_{}({}) = {}", n, z, z.sl(n)); // Sl_n(z)

```

Notes

-----

The implementation of the Standard Clausen function `x.cl(n)` for real

`x` and positive `n` follows the approach presented in [Jiming Wu,

Xiaoping Zhang, Dongjie Liu, "An efficient calculation of the Clausen

functions Cl_n(θ)(n >= 2)", Bit Numer Math 50, 193-206 (2010)

[https://doi.org/10.1007/s10543-009-0246-8](https://doi.org/10.1007/s10543-009-0246-8)].

Copying

-------

clausen is licenced under the GNU Lesser General Public License (GNU

LGPL) version 3.