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Home > Programming > Programming Language > Haskell Cookbook
Haskell Cookbook
Haskell Cookbook

Haskell Cookbook: Build functional applications using Monads, Applicatives, and Functors

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Haskell Cookbook

Getting Functional

In this chapter, we will look at the following recipes:

  • Working with recursive functions
  • Reversing a list - Recursive worker function pattern
  • Creating maps and filters
  • Working with laziness and recursion
  • Working with folds
  • Sorting a list
  • Implementing merge sort
  • Implementing Eratosthenes Sieve

Introduction

In functional programming, functions are first class values. It means that functions can be returned as values, and one can pass functions as arguments. In this chapter, we will start with recursive functions and gradually move to higher order functions, functions that take other functions as arguments. Our goal is to be able to write functions that are correct and tested. Haskell is a lazy language. We can take advantage of this fact, and write interesting and compact functions to take advantage of its laziness.

We will start with recursive functions, and see how recursion works. We will then move to tail recursive functions. We will explore a useful worker pattern while working with tail recursion. Next we will take advantage of laziness while calculating Fibonacci numbers recursively.

We will then work with maps and filters, which are very useful in many situations...

Working with recursive functions

In this recipe, we will calculate fibonacci numbers by writing a simple recursive function. Fibonacci numbers are the numbers appearing in the fibonacci sequence.

Fibonacci numbers are calculated as follows:

Fn = Fn-1 + Fn-2

We need to provide the first two seed fibonacci numbers in the sequence so that we can calculate the next set of fibonacci numbers. We will seed the sequence with 0 and 1. Our sequence will look like this:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ....

We will start indexing with 0. Hence, the 0th fibonacci number is 0, 1st fibonacci number is 1, .. 5th fibonacci number is 5 ... and so on.

Getting ready

Create a new project, fibonacci, using stack with the simple template...

Reversing a list - Recursive worker function pattern

In the previous recipe, we saw implementation using a simple recursive definition. In this recipe, we will use a commonly found recursive function implementation pattern called worker pattern.

The list does not have random access. We have to access elements of a list sequentially to be able to do something with it. When reversing a list, we need to remember this fact.

Getting ready

Create a new project, reverse, using Stack and the simple template. Also, build the project:

      stack new reverse simple
      stack build

How to do it...

...

Creating maps and filters

In this recipe, we will continue working with recursive functions. In addition to recursion, we will introduce higher order functions. Higher order functions are functions that take other functions as an argument. Higher order functions introduce a layer of abstraction over other functions. If you see a certain pattern repeated over and over again, then you might have hit a situation that can be abstracted as a higher order function.

Though provided by default by Haskell's Prelude module, we will write our own version of two important higher order functions, map and filter.

Getting ready

Using stack, create a new project, map-filter, using the simple template. Change to the project folder and...

Working with laziness and recursion

So far, we have seen a simple recursion; recursion using worker pattern. Haskell adds laziness to the mix. We can use laziness to our advantage while working with recursion.

In this recipe, we will again calculate the fibonacci number. However, this time, we will do it with infinite lists. By taking advantage of Haskell's laziness to evaluate an expression only when it is required, we can really create a linear time algorithm (O(n)) for the fibonacci number.

Getting ready

Create a new project, fibonacci-infinite, by running Stack. Change into the project directory and build it using Stack:

      stack new fibonacci-infinite simple
      stack build
...

Working with folds

In this recipe, we will look at two of the most important high-order functions, called foldr and foldl. These functions carry out the following activities:

  • Abstract iterative process over a collection such as a list
  • Give a way to work with each of the elements within the collection
  • Give a way to summarize elements and combine them with user-supplied values

Depending on the way elements are combined, the functions are called foldr (fold right) or foldl (fold left). Many higher order functions such as map or filter can be expressed in terms of foldr or foldl.

In this recipe, we will write sum and product functions to calculate the sum and product of numbers in the input list respectively. We will also use folds to implement map and filter.

Getting ready

...

Sorting a list

In this recipe, we will write a pseudo-quick sort using recursion. We call it pseudo-quick sort because it looks deceptively such as quick sort, but does not have a performance anywhere near it.

Getting ready

Use Stack to create a new project, pseudo-qsort, with the simple template and build it, after changing directory to the project folder:

      > stack new pseudo-qsort simple
      > stack build

How to do it...

  1. Open src/Main.hs and write the qsort implementation. The qsort involves the following:
    • Choosing an element of the list to be sorted
    • Using...

Implementing merge sort

In this recipe, we will implement merge sort. The merge sort that we are implementing is bottoms-up merge sort. In bottoms-up merge sort, we start by sorting pairs of elements in the list. Then, gradually, we start merging them in pairs, until we have only one left.

Getting ready

Use Stack to create a new project, merge-sort, with the simple template and build it, after changing the directory to the project folder:

      > stack new merge-sort simple
      > stack build

How to do it...

  1. Open src/Main.hs; we will implement merge sort here...

Implementing Eratosthenes Sieve

In this recipe, we will look at a prime number calculator called Eratosthenes Sieve. It is an old algorithm for finding prime numbers. The prime numbers are found by crossing out composite numbers. The sieve works as follows:

  1. Start with 2, a known prime. Strike out all the numbers that are multiples of 2.
  2. Start with the next unmarked number, which will be the next prime (since it is not divided by any prime before). Repeat the procedure of marking all the multiples.
  3. Repeat the procedure.

For more information, visit https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes.

Getting ready

Create a new project, eratosthenes, using the simple Stack template. Change into the project directory and build...

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Key benefits

  • Comprehensive guide for establishing a strong foundation in Haskell and developing pragmatic code
  • Create a full fledged web application using Haskell
  • Work with Lens, Haskell Extensions, and write code for concurrent and distributed applications

Description

Haskell is a purely functional language that has the great ability to develop large and difficult, but easily maintainable software. Haskell Cookbook provides recipes that start by illustrating the principles of functional programming in Haskell, and then gradually build up your expertise in creating industrial-strength programs to accomplish any goal. The book covers topics such as Functors, Applicatives, Monads, and Transformers. You will learn various ways to handle state in your application and explore advanced topics such as Generalized Algebraic Data Types, higher kind types, existential types, and type families. The book will discuss the association of lenses with type classes such as Functor, Foldable, and Traversable to help you manage deep data structures. With the help of the wide selection of examples in this book, you will be able to upgrade your Haskell programming skills and develop scalable software idiomatically.

Who is this book for?

This book is targeted at readers who wish to learn the Haskell language. If you are a beginner, Haskell Cookbook will get you started. If you are experienced, it will expand your knowledge base. A basic knowledge of programming will be helpful.

What you will learn

  • Use functional data structures and algorithms to solve problems
  • Understand the intricacies of the type system
  • Create a simple parser for integer expressions with additions
  • Build high-performance web services with Haskell
  • Master mechanisms for concurrency and parallelism in Haskell
  • Perform parsing and handle scarce resources such as filesystem handles
  • Organize your programs by creating your own types and type classes
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Publication date : Sep 25, 2017
Length: 396 pages
Edition : 1st
Language : English
ISBN-13 : 9781786461353
Category :
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ISBN-13 : 9781786461353
Category :
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Table of Contents

12 Chapters
Foundations of Haskell Chevron down icon Chevron up icon
Foundations of Haskell
Introduction
Getting started with Haskell
Working with data types
Working with pure functions and user-defined data types
Working with list functions
Getting Functional Chevron down icon Chevron up icon
Getting Functional
Introduction
Working with recursive functions
Reversing a list - Recursive worker function pattern
Creating maps and filters
Working with laziness and recursion
Working with folds
Sorting a list
Implementing merge sort
Implementing Eratosthenes Sieve
Defining Data Chevron down icon Chevron up icon
Defining Data
Introduction
Defining a product type
Defining a sum type
Defining a binary tree and traversing it
Defining data with functions
Using Maybe
Using Either
Working with type classes
Working with Monoid
Working with Functors, Applicatives, and Monads Chevron down icon Chevron up icon
Working with Functors, Applicatives, and Monads
Introduction
Working with Functors
Binary tree as Functor
Working with Applicatives
Binary tree as Applicative
Working with monad
List as monad
Working with IO monad
Writing INI parser
Errors and exception handling
More about Monads Chevron down icon Chevron up icon
More about Monads
Introduction
Writing a State Monad
Computing a fibonacci number with State Monad
Writing a State Monad transformer
Working with the Reader monad transformer
Working with the Writer monad transformer
Combining monad transformers
Working with Common Containers and Strings Chevron down icon Chevron up icon
Working with Common Containers and Strings
Introduction
Working with sets
Shopping cart as a set
Working with maps
Log analysis with map
Working with vector
Working with text and bytestring
Creating and testing a priority queue
Working with Foldable and Traversable
Working with Relational and NoSQL Databases Chevron down icon Chevron up icon
Working with Relational and NoSQL Databases
Introduction
Working with Persistent
Managing migrations
Creating custom data types
Using Esqueleto to do advanced SQL queries
Using hedis to work with redis (key-value, list and hash)
Using hashsets and sorted sets in redis to create a Trie
Working with HTML and Templates Chevron down icon Chevron up icon
Working with HTML and Templates
Introduction
Using blaze to create an HTML template
Using blaze to reverse engineer an HTML page
Use blaze-html with Bootstrap to create HTML template
Using heist as a template engine
Working with splice in Heist
Working with Snap Framework Chevron down icon Chevron up icon
Working with Snap Framework
Introduction
Getting started with Snap
Routing in Snap
Serving static contents in Snap
Form handling in Snap
Creating and composing snaplets
Session handling in Snap
Authentication in Snap
File upload with Snap
Working with Advanced Haskell Chevron down icon Chevron up icon
Working with Advanced Haskell
Introduction
Working with existentially quantified type
Working with Rank-N type
Working with type family
Working with GADTs
Working with Lens and Prism Chevron down icon Chevron up icon
Working with Lens and Prism
Introduction
Creating lenses
Working with lenses
Working with Traversal
Working with Iso
Working with Prism
Working with predefined lenses
Concurrent and Distributed Programming in Haskell Chevron down icon Chevron up icon
Concurrent and Distributed Programming in Haskell
Introduction
Working with IORef
Working with MVar
Working with STM
Working with strategies
Working with monad-par
Working with Cloud Haskell
Using Cloud Haskell to start master and slave nodes
Using closure to communicate between nodes

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Customer reviews

Rating distribution
Full star icon Full star icon Full star icon Full star icon Empty star icon 4
(2 Ratings)
5 star 0%
4 star 100%
3 star 0%
2 star 0%
1 star 0%
Si Dunn Mar 08, 2022
Full star icon Full star icon Full star icon Full star icon Empty star icon 4
I've been learning Haskell using a chaotic combination of websites, library books, and "Hey, how do I do this?" email messages. This process has not been easy, especially after I got bogged down trying to figure out whether to use the Glasgow Haskell Compiler (and GHCi), or Cabal, or Stack, or learn all three, and maybe throw in Visual Studio, as well. As a writer and book reviewer, I often review software books aimed at newcomers to a particular programming language. So I'm grateful that Packt Publications gave me access to a review copy of its Haskell Cookbook, which was published five years ago. The book has brought me some solid how-to information and a straightforward strategy for learning Haskell. And I am pleased to recommend it to others learning Haskell. With a focus on using Stack, the book takes a very practical, nicely illustrated, three-step approach as it introduces and explains new topics and provides coding examples. The steps are: getting ready; how to do it; and how it works. The book is well-written, and its chapter organization has helped me get a better focus on my efforts. Note: It is very important to download the code samples associated with the Haskell Cookbook. I have encountered a small number of code examples in the book's text that either have a typo or are out of date because of Haskell changes. In those cases so far, when I've typed in some code from the book and it has not compiled, the downloaded code-example files have worked fine. Because of the book's current age, I can't give it a five-star rating. But for me at least, I'm pleased to give it four stars, and I'd add another half star if I could.
Amazon Verified review Amazon
sh m Feb 01, 2018
Full star icon Full star icon Full star icon Full star icon Empty star icon 4
This is a great book to sharpen your understanding of Haskell concepts. The book will not teach you concepts like State Monad or Reader Monad, but is good at getting better understanding by trying out real world examples ( recipes). My understanding of Monad Trasformers definitely improved. This book is best to study Haskell along with other books like 'Programming in Haskell ' by Graham Hutton. Another plus point is that the examples are complete with stack build tool. Many Haskell books on fundamentals give toy examples to explain but you may not have much clue when and where to use them. Examples for data base connection in this book are solid.
Amazon Verified review Amazon

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About the author

Profile icon Yogesh Sajanikar
Yogesh Sajanikar
Yogesh Sajanikar has received his bachelor's degree in Mechanical Engineering from Shivaji University, India, along with a gold medal and a master's degree in Production Engineering from the Indian Institute of Technology, Bombay, India. Yogesh has an experience of more than 20 years, and he has extensively worked with Product Lifecycle Management (PLM) and Computer Aided Design (CAD) software development firms, and architected solutions for domains such as Construction and Shipping Domain. Having hooked on to functional programming, he moved into the Finance domain and worked as an enterprise architect; he has also worked with Scala/F# and Haskell. Currently, he is working as a CTO for a startup. He has also started local Haskell meetups and has been an active participant in meetups and functional conferences. Yogesh believes in the open source movement, and believes in giving back to the open source community.
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What is custom duty/charge? Chevron down icon Chevron up icon

Customs duty are charges levied on goods when they cross international borders. It is a tax that is imposed on imported goods. These duties are charged by special authorities and bodies created by local governments and are meant to protect local industries, economies, and businesses.

Do I have to pay customs charges for the print book order? Chevron down icon Chevron up icon

The orders shipped to the countries that are listed under EU27 will not bear custom charges. They are paid by Packt as part of the order.

List of EU27 countries: www.gov.uk/eu-eea:

A custom duty or localized taxes may be applicable on the shipment and would be charged by the recipient country outside of the EU27 which should be paid by the customer and these duties are not included in the shipping charges been charged on the order.

How do I know my custom duty charges? Chevron down icon Chevron up icon

The amount of duty payable varies greatly depending on the imported goods, the country of origin and several other factors like the total invoice amount or dimensions like weight, and other such criteria applicable in your country.

For example:

  • If you live in Mexico, and the declared value of your ordered items is over $ 50, for you to receive a package, you will have to pay additional import tax of 19% which will be $ 9.50 to the courier service.
  • Whereas if you live in Turkey, and the declared value of your ordered items is over € 22, for you to receive a package, you will have to pay additional import tax of 18% which will be € 3.96 to the courier service.
How can I cancel my order? Chevron down icon Chevron up icon

Cancellation Policy for Published Printed Books:

You can cancel any order within 1 hour of placing the order. Simply contact customercare@packt.com with your order details or payment transaction id. If your order has already started the shipment process, we will do our best to stop it. However, if it is already on the way to you then when you receive it, you can contact us at customercare@packt.com using the returns and refund process.

Please understand that Packt Publishing cannot provide refunds or cancel any order except for the cases described in our Return Policy (i.e. Packt Publishing agrees to replace your printed book because it arrives damaged or material defect in book), Packt Publishing will not accept returns.

What is your returns and refunds policy? Chevron down icon Chevron up icon

Return Policy:

We want you to be happy with your purchase from Packtpub.com. We will not hassle you with returning print books to us. If the print book you receive from us is incorrect, damaged, doesn't work or is unacceptably late, please contact Customer Relations Team on customercare@packt.com with the order number and issue details as explained below:

  1. If you ordered (eBook, Video or Print Book) incorrectly or accidentally, please contact Customer Relations Team on customercare@packt.com within one hour of placing the order and we will replace/refund you the item cost.
  2. Sadly, if your eBook or Video file is faulty or a fault occurs during the eBook or Video being made available to you, i.e. during download then you should contact Customer Relations Team within 14 days of purchase on customercare@packt.com who will be able to resolve this issue for you.
  3. You will have a choice of replacement or refund of the problem items.(damaged, defective or incorrect)
  4. Once Customer Care Team confirms that you will be refunded, you should receive the refund within 10 to 12 working days.
  5. If you are only requesting a refund of one book from a multiple order, then we will refund you the appropriate single item.
  6. Where the items were shipped under a free shipping offer, there will be no shipping costs to refund.

On the off chance your printed book arrives damaged, with book material defect, contact our Customer Relation Team on customercare@packt.com within 14 days of receipt of the book with appropriate evidence of damage and we will work with you to secure a replacement copy, if necessary. Please note that each printed book you order from us is individually made by Packt's professional book-printing partner which is on a print-on-demand basis.

What tax is charged? Chevron down icon Chevron up icon

Currently, no tax is charged on the purchase of any print book (subject to change based on the laws and regulations). A localized VAT fee is charged only to our European and UK customers on eBooks, Video and subscriptions that they buy. GST is charged to Indian customers for eBooks and video purchases.

What payment methods can I use? Chevron down icon Chevron up icon

You can pay with the following card types:

  1. Visa Debit
  2. Visa Credit
  3. MasterCard
  4. PayPal
What is the delivery time and cost of print books? Chevron down icon Chevron up icon

Shipping Details

USA:

'

Economy: Delivery to most addresses in the US within 10-15 business days

Premium: Trackable Delivery to most addresses in the US within 3-8 business days

UK:

Economy: Delivery to most addresses in the U.K. within 7-9 business days.
Shipments are not trackable

Premium: Trackable delivery to most addresses in the U.K. within 3-4 business days!
Add one extra business day for deliveries to Northern Ireland and Scottish Highlands and islands

EU:

Premium: Trackable delivery to most EU destinations within 4-9 business days.

Australia:

Economy: Can deliver to P. O. Boxes and private residences.
Trackable service with delivery to addresses in Australia only.
Delivery time ranges from 7-9 business days for VIC and 8-10 business days for Interstate metro
Delivery time is up to 15 business days for remote areas of WA, NT & QLD.

Premium: Delivery to addresses in Australia only
Trackable delivery to most P. O. Boxes and private residences in Australia within 4-5 days based on the distance to a destination following dispatch.

India:

Premium: Delivery to most Indian addresses within 5-6 business days

Rest of the World:

Premium: Countries in the American continent: Trackable delivery to most countries within 4-7 business days

Asia:

Premium: Delivery to most Asian addresses within 5-9 business days

Disclaimer:
All orders received before 5 PM U.K time would start printing from the next business day. So the estimated delivery times start from the next day as well. Orders received after 5 PM U.K time (in our internal systems) on a business day or anytime on the weekend will begin printing the second to next business day. For example, an order placed at 11 AM today will begin printing tomorrow, whereas an order placed at 9 PM tonight will begin printing the day after tomorrow.


Unfortunately, due to several restrictions, we are unable to ship to the following countries:

  1. Afghanistan
  2. American Samoa
  3. Belarus
  4. Brunei Darussalam
  5. Central African Republic
  6. The Democratic Republic of Congo
  7. Eritrea
  8. Guinea-bissau
  9. Iran
  10. Lebanon
  11. Libiya Arab Jamahriya
  12. Somalia
  13. Sudan
  14. Russian Federation
  15. Syrian Arab Republic
  16. Ukraine
  17. Venezuela