Key takeaways
As we conclude this chapter on functors and monads, let’s take a moment to summarize what we’ve learned:
- Fundamental concept of functors: Functors are integral to functional programming for data manipulation. They act as “magic boxes” that allow us to apply a function to the data they hold, transforming the contents while maintaining the original structure.
- Not all containers are functors: For a data container to be considered a functor, it must adhere to two critical laws: the Identity law and the Composition law. These laws ensure that functors operate predictably and consistently within their intended paradigms.
- Identity law: The Identity law emphasizes that mapping an identity function (a function that returns its input) over a functor should leave the functor unchanged. This law underscores the non-intrusive nature of functor transformations.
- Composition law: The Composition law asserts that the order in which functions...