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

Merge sort


Merge sort uses the divide and conquer philosophy. There will be a function split that will split a sequential data structure into two parts in such a way that the number of elements in the two split parts will differ by one element at the maximum. The split daughter lists, after merging, return the permutation of the original list.

Merge sort steps can be laid out in the following fashion:

  1. The sequence is split till every subsequence has at most one element.

  2. Every subsequence is merged in such a way that the merged sequence is sorted too.

No worries, we will discuss all the steps in detail in the following pages. Let's start with the split.

Splitting the sequence

The following diagram explains the splitting of a sequence:

We start our sequence as [1, 3, 5, 2, 6]. In order to split it into two parts, we will fetch two elements (they are 1 and 3 for us) and put them as two subsequences, ss1 and ss2, respectively. Similarly, the next time, 5 and 2 will be taken and added to subsequences...