Vandexel - 3 months ago 20

Scala Question

I am a beginner with scala. I have been given a fold_tree_preorder function that implements the higher order function fold on a binary tree. The tree, node and leaf definitions are below

`abstract class Tree[+A]`

case class Leaf[A](value: A) extends Tree[A]

case class Node[A](value: A, left: Tree[A], right: Tree[A]) extends Tree[A]

This is the function I have been given

`def fold_tree_preorder [Z,A](f:(Z,A)=>Z) (z:Z) (t:Tree[A]) : Z =`

t match {

case Leaf(value) => f(z, value)

case Node(value , lt, rt) => {

val z1 = f(z,value)

val z2 = fold_tree_preorder (f) (z1) (lt)

fold_tree_preorder (f) (z2) (rt)

}

}

I am not sure how to actually call this function. I am trying to do something like the following:

`def count_tree [A](t:Tree[A]) : Int =`

fold_tree_preorder[A,A=>A]((z,a)=>(z+a))(0)(t)

But I am getting errors like type mismatch error. I don't think the parameters themselves are correct either, but I'm not even sure how to test what the output would look like because I can't figure out the correct way of calling the fold_tree_preorder function. How can I input the correct syntax to call this function?

Answer

`z`

is the `fold_tree_preorder`

function is the output type you are expecting which is `Int`

Use the function like below

assuming that `count_tree`

counts number of nodes of the tree

```
def count_tree [A](t:Tree[A]) : Int =
fold_tree_preorder[Int, A]((z,a) => z + 1 )(0)(t)
```

Just add `1`

to the z on visiting a node to count number of nodes