# rustnomial

This crate provides utilities for operating on polynomials, including:
- Parsing polynomials from strings, and creating strings from polynomials
- Math operations with polynomials
- Integration and derivation of polynomials
- Finding polynomial roots

# Examples

- Parsing polynomials from / to strings:

```rust
use std::str::FromStr;

use rustnomial::{GenericPolynomial, Polynomial};

fn main() {
    let poly = Polynomial::<i32>::from_str("1+x^2-3+11x").unwrap();
    // x^2 + 11x - 2
    println!("{}", poly);
}
```

- Integration
```rust
use rustnomial::integral;

fn main() {
    let poly = integral!(5., 2., 0.);
    // 1.6666666666666667x^3 + x^2 + C
    println!("{}", poly);
    // 2.666666666666667
    println!("{}", poly.eval(0., 1.));
}
```

- Derivation
```rust
use rustnomial::derivative;

fn main() {
    let poly = derivative!(5., 2., 0.);
    // 10x + 2
    println!("{}", poly);
}
```

- Rootfinding
```rust
use rustnomial::{GenericPolynomial, Polynomial};

fn main() {
    let poly = Polynomial::<f64>::new(vec![1., 2.]).pow(9) * Polynomial::new(vec![1., 3.]);
    // ManyRealRoots([-3.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0])
    println!("{:?}", poly.roots());
}
```