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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


We looked at lists again, but in a different light. We revisited the list prepending and appending techniques and saw that prepending a node to a list has O(1) complexity. It is a very fast operation, sharing most of the existing list.

Appending to a list is very costly though, as we end up copying the entire existing list. We looked at list reversal and saw how we could express the list reversal algorithm in terms of list prepending.

Next, we saw how extensively list prepending is used. We looked at directed graphs, modeling them as a list of pairs.

We also implemented common graph algorithms, such as getting successors of a node and a depth-first traversal.

Incrementally tweaking the depth-first traversal, we came up with topological sorting, a sequence that respects precedence. We also implemented cycle detection and printing.

Hopefully, this gave you a taste of functional algorithms. In the next chapter, we will look at random access lists, yet another fascinating data structure-...

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