[Rust] Sorting Vector of Structs with float fields

// let's say there is a Struct named `Person` and you want to sort vector of that structs by a float field.

use std::cmp::Ordering;

struct Person {
    name: String,
    height: u32
}

impl PartialEq for Person {
    fn eq(&self, other: &Self) -> bool {
        self.height == other.height
    }
}

impl PartialOrd for Person {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        self.height.partial_cmp(&other.height)
    }
}

fn main() {
    let mut people = Vec::new();
    let alice = Person { name: String::from("Alice"), height: 168.0 as u32 };
    let bob = Person { name: String::from("Bob"), height: 186.2 as u32 };
    let carol = Person { name: String::from("Carol"), height: 172.1 as u32 };

    people.push(alice);
    people.push(bob);
    people.push(carol);

    people.sort_by(|a, b| a.partial_cmp(b).unwrap());

    for person in people {
      println!("{}", person.name);
    }
}