Open pjung-bosch opened 1 month ago
Let's create a function in Rust to compute all the n
roots of a given complex number. Here, we'll use Rust's num
crate, which provides complex number support.
Start by adding the num
crate to your Cargo.toml
:
[dependencies]
num = "0.4"
Below is the Rust code for calculating all n
roots of a complex number:
extern crate num;
use num::complex::Complex;
use std::f64::consts::PI;
/// Calculate all n roots of a complex number
fn complex_n_roots(z: Complex<f64>, n: u32) -> Vec<Complex<f64>> {
let mut roots = Vec::new();
let r = z.norm().powf(1.0 / n as f64);
let theta = z.arg();
for k in 0..n {
let angle = (theta + 2.0 * PI * k as f64) / n as f64;
let root = Complex::from_polar(&r, &angle);
roots.push(root);
}
roots
}
fn main() {
let z = Complex::new(1.0, 1.0); // Example complex number
let roots = complex_n_roots(z, 3); // Calculate cube roots
for (i, root) in roots.iter().enumerate() {
println!("Root {}: {}", i, root);
}
}
When calculating nth roots of a complex number:
z
.z
.n
roots.Here's how you can use and test the function with an example:
cargo run
You should see the roots of the complex number printed in the console.
And there you have it! A Rust function to calculate all n roots of a complex number. Feel free to experiment with different values of z
and n
. Happy coding! 👨💻👩💻
Write a function in rust, that calculates all the n roots of a complex number