September 2017
Beginner to intermediate
396 pages
9h 46m
English
Content preview from Haskell Cookbook
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How it works...
In this recipe, we created an instance of Functor for the binary tree that we defined. When we create an instance of a Functor, we have to follow these laws of Functor:
Laws of Functor
An application of an identity function id should get the same data back:
fmap id == id
Applying two functions to the same data type in a sequence should be the same as the application of a composition of two functions:
fmap (p . q) == fmap p . fmap q
For the binary tree that we have defined, these laws are followed. If we apply the identity function id, then we apply it to the value in the node and subtrees. Since id does not change the value and we preserve the structure of the tree, an application of an identity function to our binary ...
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