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 6.  Graph Algorithms

How does immutability affect algorithm design? How are typical algorithms implemented without resorting to in-place mutation?

This chapter will give you a taste of functional algorithms. List prepending will be one dominating theme here. We will start by looking at list reversal and how prepending helps in dealing with algorithms.. We will then look at an efficient algorithm for list reversal using list prepending.

Graphs are a very important data structure; they are used to model related entities. We will be looking at directed graphs, also known as digraphs. We will implement functional versions of common digraph algorithms, for example, traversing a graph and visiting each node to do something useful.

Topological sorting is a digraph algorithm used to compute nodes' order of precedence. Build tools, such as Make, need to order tasks based on precedence. Topological sorting is the algorithm used by such tools to process a task's dependencies before the actual...