Book Image

Learning Functional Data Structures and Algorithms

By : Raju Kumar Mishra
Book Image

Learning Functional Data Structures and Algorithms

By: Raju Kumar Mishra

Overview of this book

Functional data structures have the power to improve the codebase of an application and improve efficiency. With the advent of functional programming and with powerful functional languages such as Scala, Clojure and Elixir becoming part of important enterprise applications, functional data structures have gained an important place in the developer toolkit. Immutability is a cornerstone of functional programming. Immutable and persistent data structures are thread safe by definition and hence very appealing for writing robust concurrent programs. How do we express traditional algorithms in functional setting? Won’t we end up copying too much? Do we trade performance for versioned data structures? This book attempts to answer these questions by looking at functional implementations of traditional algorithms. It begins with a refresher and consolidation of what functional programming is all about. Next, you’ll get to know about Lists, the work horse data type for most functional languages. We show what structural sharing means and how it helps to make immutable data structures efficient and practical. Scala is the primary implementation languages for most of the examples. At times, we also present Clojure snippets to illustrate the underlying fundamental theme. While writing code, we use ADTs (abstract data types). Stacks, Queues, Trees and Graphs are all familiar ADTs. You will see how these ADTs are implemented in a functional setting. We look at implementation techniques like amortization and lazy evaluation to ensure efficiency. By the end of the book, you will be able to write efficient functional data structures and algorithms for your applications.
Table of Contents (20 chapters)
Learning Functional Data Structures and Algorithms
Credits
About the Authors
About the Reviewer
www.PacktPub.com
Customer Feedback
Preface

Verifying the transformation


In-order traversal of a BST is a recursive traversal algorithm. It visits the BST tree nodes in a predefined order and always prefers to visit the left child first, then the parent itself, and finally the right child.

As you probably know, the visiting order is also the sorted order. If we put the values in an array as shown in the diagram, we get all the values sorted:

This traversal comes as a very useful tool to understand rotations. We can transform the tree, provided the in-order traversal visits the nodes in the same way.

The preceding diagram shows our right, left tree rotation. The numbers mark the order in which an in-order traversal would visit nodes.

The right-side-transformed tree also yields the nodes in the same order when traversed in an in-order fashion.

Drawing other rotations and verifying them in the same fashion will help you better understand the concept of rotations.