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Haskell Design Patterns

Haskell Design Patterns

By : Lemmer
4.1 (9)
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Haskell Design Patterns

Haskell Design Patterns

4.1 (9)
By: Lemmer

Overview of this book

Design patterns and idioms can widen our perspective by showing us where to look, what to look at, and ultimately how to see what we are looking at. At their best, patterns are a shorthand method of communicating better ways to code (writing less, more maintainable, and more efficient code) This book starts with Haskell 98 and through the lens of patterns and idioms investigates the key advances and programming styles that together make "modern Haskell". Your journey begins with the three pillars of Haskell. Then you'll experience the problem with Lazy I/O, together with a solution. You'll also trace the hierarchy formed by Functor, Applicative, Arrow, and Monad. Next you'll explore how Fold and Map are generalized by Foldable and Traversable, which in turn is unified in a broader context by functional Lenses. You'll delve more deeply into the Type system, which will prepare you for an overview of Generic programming. In conclusion you go to the edge of Haskell by investigating the Kind system and how this relates to Dependently-typed programming
Table of Contents (9 chapters)
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Abstracting type-classes

There are several ways in which type-classes can be generalized further. In this section, we will focus on extending the number of type parameters from one to many. The extension to multiparameter type-classes demands that we specify relations between type parameters by way of functional dependencies.

Multiparameter type-classes

We can view regular type-classes (for example a, Ord a, Monad a, and so on.) as a way to specify a set of types. Multiparameter classes, on the other hand, specify a set of type relations. For example, the Coerce type-class specifies a relation between two type parameters:

class Coerce a b where
  coerce :: a -> b

instance Coerce Int String where
  coerce = show

instance Coerce Int [Int] where
  coerce x = [x]

The type signature of coerce is as follows:

coerce :: Coerce a b => a -> b

This states that coerce is the function a -> b if a is coerce-able to b, that is, if the relation (Coerce a b) exists. In our case, coerce will work...

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