Pattern Matching

Matching on Enums

Flix supports pattern matching on algebraic data types.

For example, if we have an algebraic data type that models shapes:

enum Shape {
    case Circle(Int32)
    case Square(Int32)
    case Rectangle(Int32, Int32)

Then we can write a function to compute the area of a Shape using pattern matching:

def area(s: Shape): Int32 = match s {
    case Shape.Circle(r)       => 3 * (r * r)
    case Shape.Square(w)       => w * w
    case Shape.Rectangle(h, w) => h * w

Let Pattern Match

In addition to the pattern match construct, a let-binding can be used to destruct a value. For example:

let (x, y, z) = (1, 2, 3)

Binds the variables x, y, and z to the values 1, 2, and 3, respectively.

Any exhaustive pattern may be used in a let-binding. For example:

let (x, Foo(y, z)) = (1, Foo(2, 3))

is legal provided that the Foo constructor belongs to a type where it is the only constructor.

The following let-bindings are illegal because they are not exhaustive:

let (1, 2, z) = ...
let Some(x) = ...

The Flix compiler will reject such non-exhaustive patterns.

Match Lambdas

Pattern matches can also be used with lambda expressions. For example: (x, y) -> x + y, (1, 1) :: (2, 2) :: Nil)

is equivalent to: -> match w { case (x, y) => x + y }, (1, 1) :: (2, 2) :: Nil)

As for let-bindings, such pattern matches must be exhaustive.

Note the difference between the two lambda expressions:

let f = (x, y, z) -> x + y + z + 42i32
let g = match (x, y, z) -> x + y + z + 42i32

Here f is a function that expects three Int32 arguments, whereas g is a function that expects one three tuple (Int32, Int32, Int32) argument.