public/subjects/lalgebra_scalar

lalgebra_scalar

Instructions

Define a Scalar trait which must implement the operations Addition, Subtraction, Multiplication and Division (you might also have to use more restrictions). For this use a trait inheritance (supertraits)

Another condition for a number to be a scalar is to have a zero (neutral element in the addition) and a one (neutral element in the multiplication). Therefore the Scalar trait will require 2 functions zero() and one() (as shown)

After finishing completing the declaration of the trait, implement the Scalar trait for u32, u64, i32, i64, f32 and f64.

Notions

• Module std::ops

Expected Function (The signature must be completed)

You need add the impl for each cases asked in the subject

pub trait Scalar: _ {
	type Item;
	fn zero() -> Self::Item;
	fn one() -> Self::Item;
}

Usage

Here is a program to test your function.

use lalgebra_scalar::*;

fn main() {
	println!("{:?}", f64::zero());
	println!("{:?}", i32::zero());
	println!("{:?}", f64::one());
	println!("{:?}", i32::one());
}

And its output:

$ cargo run
0.0
0
1.0
1
$