public/subjects/lalgebra_scalar/README.md

## 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](https://doc.rust-lang.org/std/ops/index.html)

### Expected Function (The signature must be completed)

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

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

### Usage

Here is a program to test your function.

```rust
use lalgebra_scalar::*;

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

And its output:

```console
student@ubuntu:~/[[ROOT]]/test$ cargo run
0.0
0
1.0
1
student@ubuntu:~/[[ROOT]]/test$
```