# Structs

So far, all of the data types we’ve seen allow us to have a single value at a time. structs give us the ability to package up multiple values and keep them in one related structure.

Let’s write a program which calculates the distance between two points. We’ll start off with single variable bindings, and then refactor it to use structs instead.

Let’s make a new project with Cargo:

$cargo new --bin points$ cd points


Here’s a short program which calculates the distance between two points. Put it into your src/main.rs:

fn main() {
let x1 = 0.0;
let y1 = 5.0;

let x2 = 12.0;
let y2 = 0.0;

let answer = distance(x1, y1, x2, y2);

println!("Point 1: ({}, {})", x1, y1);
println!("Point 2: ({}, {})", x2, y2);
}

fn distance(x1: f64, y1: f64, x2: f64, y2: f64) -> f64 {
let x_squared = f64::powi(x2 - x1, 2);
let y_squared = f64::powi(y2 - y1, 2);

f64::sqrt(x_squared + y_squared)
}


Let's try running this program with cargo run:

\$ cargo run
Compiling points v0.1.0 (file:///projects/points)
Running target/debug/points
Point 1: (0, 5)
Point 2: (12, 0)
Distance: 13


Let's take a quick look at distance() before we move forward:

fn distance(x1: f64, y1: f64, x2: f64, y2: f64) -> f64 {
let x_squared = f64::powi(x2 - x1, 2);
let y_squared = f64::powi(y2 - y1, 2);

f64::sqrt(x_squared + y_squared)
}


To find the distance between two points, we can use the Pythagorean Theorem. The theorem is named after Pythagoras, who was the first person to mathematically prove this formula. The details aren't that important, to be honest. There's a few things that we haven't discussed yet, though.

f64::powi(2.0, 3)


The double colon (::) here is a namespace operator. We haven’t talked about modules yet, but you can think of the powi() function as being scoped inside of another name. In this case, the name is f64, the same as the type. The powi() function takes two arguments: the first is a number, and the second is the power that it raises that number to. In this case, the second number is an integer, hence the ‘i’ in its name. Similarly, sqrt() is a function under the f64 module, which takes the square root of its argument.

## Why structs?

Our little program is okay, but we can do better. The key is in the signature of distance():

fn distance(x1: f64, y1: f64, x2: f64, y2: f64) -> f64 {


The distance function is supposed to calculate the distance between two points. But our distance function calculates some distance between four numbers. The first two and last two arguments are related, but that’s not expressed anywhere in our program itself. We need a way to group (x1, y1) and (x2, y2) together.

We’ve already discussed one way to do that: tuples. Here’s a version of our program which uses tuples:

fn main() {
let p1 = (0.0, 5.0);

let p2 = (12.0, 0.0);

println!("Point 1: {:?}", p1);
println!("Point 2: {:?}", p2);
}

fn distance(p1: (f64, f64), p2: (f64, f64)) -> f64 {
let x_squared = f64::powi(p2.0 - p1.0, 2);
let y_squared = f64::powi(p2.1 - p1.1, 2);

f64::sqrt(x_squared + y_squared)
}


This is a little better, for sure. Tuples let us add a little bit of structure. We’re now passing two arguments, so that’s more clear. But it’s also worse. Tuples don’t give names to their elements, and so our calculation has gotten much more confusing:

p2.0 - p1.0
p2.1 - p1.1


When writing this example, your authors almost got it wrong themselves! Distance is all about x and y points, but now it’s all about 0 and 1. This isn’t great.

Enter structs. We can transform our tuples into something with a name:

let p1 = (0.0, 5.0);

struct Point {
x: f64,
y: f64,
}

let p1 = Point { x: 0.0, y: 5.0 };


Here’s what declaring a struct looks like:

struct NAME {
NAME: TYPE,
}


The NAME: TYPE bit is called a ‘field’, and we can have as many or as few of them as you’d like. If you have none of them, drop the {}s:

struct Foo;


structs with no fields are called ‘unit structs’, and are used in certain advanced situations. We will just ignore them for now.

You can access the field of a struct in the same way you access an element of a tuple, except you use its name:

let p1 = (0.0, 5.0);
let x = p1.0;

struct Point {
x: f64,
y: f64,
}

let p1 = Point { x: 0.0, y: 5.0 };
let x = p1.x;


Let’s convert our program to use our Point struct. Here’s what it looks like now:

#[derive(Debug,Copy,Clone)]
struct Point {
x: f64,
y: f64,
}

fn main() {
let p1 = Point { x: 0.0, y: 5.0};

let p2 = Point { x: 12.0, y: 0.0};

println!("Point 1: {:?}", p1);
println!("Point 2: {:?}", p2);
}

fn distance(p1: Point, p2: Point) -> f64 {
let x_squared = f64::powi(p2.x - p1.x, 2);
let y_squared = f64::powi(p2.y - p1.y, 2);

f64::sqrt(x_squared + y_squared)
}


Our function signature for distance() now says exactly what we mean: it calculates the distance between two Points. And rather than 0 and 1, we’ve got back our x and y. This is a win for clarity.

There’s one other thing that’s a bit strange here, this annotation on our struct declaration:

#[derive(Debug,Copy,Clone)]
struct Point {


We haven’t yet talked about traits, but we did talk about Debug when we discussed arrays. This derive attribute allows us to tweak the behavior of our Point. In this case, we are opting into copy semantics, and everything that implements Copy must implement Clone.