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

The concept of rotation


Before we jump headlong into the nitty-gritty of Red-Black tree implementation, let's look at a fundamental concept: rotation. Rotations are used in Red-Black trees to restore balance.

Let's look at left rotation first. Rotate the tree counterclockwise so the node 19, which was earlier a parent of 12, becomes its right child.

It is always okay to do this as the parent of a node can be made its right child to preserve the BST invariant, namely the right child value should be greater that the parent node. The parent 95 of 12 has now become the parent of 19. The original left child of 19 was 17, which is now the right child of 12. Lastly, 12 is now the new left child of 19.

Note that we just changed a fixed number of pointers. The children of 7 and 17 are not affected at all as also the tree above 95.

Here is the pseudo code of left rotation:

y = x.right 
x.right = y.left 
if y.left != nil 
  then y.left.parent = x 
y.parent = x.parent 
if x.parent = nil 
  then root =...