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

Chapter 7. Random Access Lists

Lists are great when we are prepending or matching at the head, having O(1) complexity. However, as we saw, lists don't perform well when it comes to random element access. Accessing an element at the nth index has O(n) complexity.

Starting at the head, we have to traverse (and skip) all the intervening list elements until we reach the nth element.

Arrays are another fundamental data structure; they allow you to have random access to any element without incurring any additional runtime cost.

Can we tweak our list implementations so random access to elements could be faster? In this chapter, we will see a list implementation that provides efficient lookup and update operations in addition to the usual head, tail, and cons operations.

Understanding the binary numerical representation is the key.

Earlier, we saw how we could model binary numbers as lists. We looked at the addition and multiplication of such lists. We will briefly look at the binary operations again...