Book Image

Haskell Cookbook

Book Image

Haskell Cookbook

Overview of this book

Haskell is a purely functional language that has the great ability to develop large and difficult, but easily maintainable software. Haskell Cookbook provides recipes that start by illustrating the principles of functional programming in Haskell, and then gradually build up your expertise in creating industrial-strength programs to accomplish any goal. The book covers topics such as Functors, Applicatives, Monads, and Transformers. You will learn various ways to handle state in your application and explore advanced topics such as Generalized Algebraic Data Types, higher kind types, existential types, and type families. The book will discuss the association of lenses with type classes such as Functor, Foldable, and Traversable to help you manage deep data structures. With the help of the wide selection of examples in this book, you will be able to upgrade your Haskell programming skills and develop scalable software idiomatically.
Table of Contents (13 chapters)

Binary tree as Functor

In the last recipe, we have Functor instances defined for Maybe, Either, and List. We even defined the Functor instance. In this recipe, we will create a data type Binary Tree and define a Functor instance for it.

How to do it...

  1. Create a new Haskell project binary-tree-functor using the simple Stack template:
        stack new binary-tree-functor simple
  1. Open src/Main.hs. This is the file that will be used for our purposes.
  2. After adding module definition for Main, add the following import:
        module Main where
import Data.Functor
  1. Define the binary tree and utility functions to create the tree:
        -- The tree can be empty (Leaf) or a node with a 
-- value, left and right...