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Map a tuple of sequences into a sequence of tuples

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In Language:Haskell, the basic zip function is of the following type:

> :t zip
zip :: [a] -> [b] -> [(a, b)]

Thus, the zip function takes two lists of possibly different element types and returns a list of pairs. Here is an illustrative application of zip to build pairs of characters with associated ASCII codes:

> zip ['A','B','C'] [65,66,67]
[('A',65),('B',66),('C',67)]

There exist further variation on zipping. For instance, there is also a zipWith function which applies an argument function to pairs rather than constructing pairs. For instance, consider two lists of operands for addition; pairwise addition can be applied as follows:

> :t zipWith
zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
> zipWith (+) [1,2,3] [4,5,6] 
[5,7,9]

For what it matters, the basic zip function is defined as follows:

zip :: [a] -> [b] -> [(a, b)]
zip = zipWith (,) -- apply pair construction

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