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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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Summary


Like stacks, queues are fundamental data structures. Queues help us realize the FIFO approach. We looked at how FIFO queues are implemented in the imperative world. We noted that we would end up with too much of copying if we insert new nodes at the end of a list. We could do this in the imperative world but would end up with O(n) copying performance to achieve persistent FIFO queues.

Instead, we looked at an innovative design involving two stacks. We also looked at the Scala implementation and discussed some Scala idioms.

Priority queues are an important variation of queues. We define a priority for each element of the queue and wish to pop the element with the highest priority.

Heap is a famous data structure for implementing the priority queue ADT. Heaps are realized with a full and complete binary tree. This is not a BST though. The heap invariant is this: the value at the root is less than its children.

We looked a beautiful algorithm, based on arrays, to implement heaps. However...

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