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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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List prepend


Note that lists are great when we insert a node at the beginning, in other words, prepend a value to the head of a list. Let's see how that works.

We have the list with values 17, 199, and 337. We prepend the value 37 first. Next, we prepend 99 to the resulting list. Finally, we prepend 12 to the new resulting list again.

When we prepend the value 37, we just allocate the node; while constructing this node, we append the original list to 37. In other words, 37 becomes the head and the original list becomes the tail.

Note that there is no copying needed at all. We just allocate the new node and append the existing list to it. As this does not affect the persistence of the already existing data structure, we have a very efficient prepend operation.

The version V0 is, as before, list b. V1 gets created when 37 is prepended to the list, V2 when 99 is prepended, and V3 when 12 is prepended. Thus, the complexity of prepend is O(1).

Here is the prepend method:

scala>   def prepend[A...

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