# points
Data structure for representing a pair of coordinates of float type. The structure supports the same sets of linear algebra operation from vectors for a **R²** space:

* **Point addition**
* **Scalar point addtition**
* **Point subtraction**
* **Scalar point subtraction**
* **Point scalar multiplication**
* **Point scalar division**
* **Euclidean distance**
* **Squared euclidean distance**
* **Euclidean norm**

## Usage

* **Install**

```
cargo add points
```

* **Expressions**

```rust
// execute (a + b) * 3 + (a - c)
let p1: Point = Point::default();
let p2 = Point::new(1.0, 3.0);
let p3 = Point::new(1.5, 2.5);
let result = (p1 + p2) * 3.0 + (p1 - p3);
assert_eq!(Point::new(1.5, 6.5), result);

// squared euclidean distance
let p1 = Point::new(1.0, 3.0);
let p2 = Point::new(1.5, 2.0);
let expected = 1.25;
let result = p1.squared_distance_to(p2);
assert_eq!(expected, result);

// euclidean distance
let p1 = Point::new(1.0, 3.0);
let p2 = Point::new(1.5, 2.0);
let expected = 1.118033988749895;
let result = p1.distance_to(p2);
assert_eq!(expected, result);
```