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Learning Functional Data Structures and Algorithms

Learning Functional Data Structures and Algorithms

By : S. Khot, Mishra
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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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Some algorithms on stream


We have found that streams are infinite sequence. Hence, streams are used to create mathematical sequences. We find many mathematical series, which are used in day-to-day simulations and mathematical modeling. Some of mathematical series are as follows:

  • Arithmetic progression

  • Geometric progression

  • Harmonic progression

  • Fibonacci series

Brownian motion path

Let us explore some mathematical series using lazy sequences. I should start with the Arithmetic series.

Arithmetic progression

Arithmetic progression is a mathematical sequence where the difference between two consecutive elements is constant:

2, 5, 8, 11, 14, 17,...

The preceding mathematical sequence is an arithmetic progression, and the difference between any two consecutive elements is three. This constant difference is known as common difference. First term of the series is known as initial term. If 1 is the initial term of an arithmetic progression, then the nth term an is calculated as follows:

an = a1 + (n-1...

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