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Learning Functional Data Structures and Algorithms

Learning Functional Data Structures and Algorithms

By : S. Khot, Mishra
5 (2)
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Learning Functional Data Structures and Algorithms

Learning Functional Data Structures and Algorithms

5 (2)
By: S. Khot, 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 (14 chapters)
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Binary Search Trees


A Binary Search Tree (BST) is a binary tree with the following additional property. The value at the root node is greater (or equal) than all the values in the left subtree. Likewise, the value is lesser than (or equal) all the values in the right subtree.

We keep things simple and don't consider the multiple equal values case. Rather, we implement dictionaries using binary trees.

A dictionary is a list of (key, value) pairs. A key can occur only once, that is, the key is unique. For example, we could use dictionaries to compute the count of words in a given text input.

The word count algorithm is simple:

words[] = split a string on space characters. 
for each word, search the dictionary if it is already present. 
if not in dictionary, insert (word, 1) 
if found in dictionary, take associated count, cnt 
update (word, cnt+1) 

The following figure shows an abstract dictionary on the left-hand side. The right-hand side of the diagram shows how we could realize it using a BST...

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