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

Insertion sort


Insertion sort is simple to implement and a stable sorting algorithm. During the process of sorting, it creates a sorted subsequence. From the unsorted subpart of the sequence, it takes one value at a time in each pass and inserts it in the sorted part of the sequence, maintaining the order in the sorted subsequence. When the last element is inserted in the sorted subsequence, we get the final sorted sequence. Hence, for a sequence of N elements, it takes N-1 passes. Remember that it does not swap values like the bubble and selection sort algorithms, but it inserts values one by one in a sorted subsequence.

We can better understand the insertion sort mechanism with the following pass-by-pass diagram:

We have a sequence of integers with elements, [12, 10, 16, 11, 9, 7]. In the first pass, it starts with 10. The already sorted subsequence has one element, 12. Element 10 is inserted in front of 12. Now we have two elements, 10 and 12, in the sorted subsequence.

We can visualize...