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

Almost balanced trees


In the tree we just saw, every node's left and right subtrees are of the same height. This makes it a tree that is perfectly height-balanced. However, such trees are very rare; we come across them only when we have large trees with thousands of nodes.

Instead, we could try for trees that are either perfectly height-balanced or somewhere close to that. What do we mean by height-balanced? If the heights of any nodes, left or right subtrees, differ by at most 1, it is a height-balanced tree. The complexities of various operations would be almost the same as for a perfectly balanced tree.

In the preceding diagram, the left tree is height-balanced, whereas the right tree is not. In the left tree, the height of subtrees rooted at n is 1. The height of the subtree rooted at p is 0. These differ by 1, but we are okay with this little bit of imbalance.