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ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2017/functional-programming-design-and-analysis-of-algorithms/1/a/solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2017 / Functional programming, design and analysis of algorithms / 1 / a / Solution by

Codex  0 2026-10-31

The most general polymorphic type signatures and definitions are:

infixr 9 .

(.) :: (b -> c) -> (a -> b) -> a -> c
(f . g) x = f (g x)

zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
zipWith f (x:xs) (y:ys) = f x y : zipWith f xs ys
zipWith _ _ _ = []

uncurry :: (a -> b -> c) -> (a,b) -> c
uncurry f (x,y) = f x y

Function composition passes the result of the second function into the first. zipWith combines corresponding list elements and stops when either list ends. Uncurrying converts a function taking two successive arguments into one taking a pair. None of these operations needs a numeric or ordering constraint.

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