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

Functional FIFO queues


We know by now that all this mutating won't work when we deal with persistent data structures (also known as versioned data structures). How can we implement these queues so that when an element is enqueued or dequeued, the earlier version of the data structure would be preserved?

The design is beautiful; it involves two lists. The following diagram shows two lists, namely in and out:

The out list holds the elements that will be popped out. We just remove the head element and return it. The in list is where new elements are inserted, that is, prepended. As we have already seen, both list prepend and head removal are O(1). For example, given the preceding diagram, when we remove the element 9, we get another version of the persistent queue: V1.

The following figure shows the persistence in action; note the indices for both the versions:

Now let's pop out another element: 7. This will make the out list empty. Of course, this will create another version of the out list...