Updated the comments on the product* functions in the Utils module

This commit is contained in:
Neil Brown 2009-02-09 23:10:29 +00:00
parent df34d666ba
commit 93af6b85a4

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@ -222,14 +222,17 @@ uncurry4 :: (a -> b -> c -> d -> e) -> (a,b,c,d) -> e
uncurry4 f (x,y,z,a) = f x y z a
-- | Given a pair of lists, produces a list of pairs that is the cartesian product of the two lists.
-- If either list is empty, the result will be empty
product2 :: ([a],[b]) -> [(a,b)]
product2 (l0,l1) = [(x0,x1) | x0 <- l0, x1 <- l1]
-- | Given a triple of lists, produces a list of pairs that is the cartesian product of the three lists.
-- If any list is empty, the result will be empty
product3 :: ([a],[b],[c]) -> [(a,b,c)]
product3 (l0,l1,l2) = [(x0,x1,x2) | x0 <- l0, x1 <- l1, x2 <- l2]
-- | Given a quadruple of lists, produces a list of pairs that is the cartesian product of the four lists.
-- If any list is empty, the result will be empty
product4 :: ([a],[b],[c],[d]) -> [(a,b,c,d)]
product4 (l0,l1,l2,l3) = [(x0,x1,x2,x3) | x0 <- l0, x1 <- l1, x2 <- l2, x3 <- l3]
@ -238,6 +241,10 @@ product4 (l0,l1,l2,l3) = [(x0,x1,x2,x3) | x0 <- l0, x1 <- l1, x2 <- l2, x3 <- l3
--
-- So, given: [[0,1,2],[3],[],[4,5]], it should return:
-- [[0,3,4],[1,3,4],[2,3,4],[0,3,5],[1,3,5],[2,3,5]] (or some permutation thereof)
--
-- Note that empty lists are ignored, which means that productN [a, b] is different
-- from map (\(x,y) -> [x,y]) $ product2 (x, y) in the cases where one of the lists
-- is empty (and the same applies for product3, etc)
productN :: [[a]] -> [[a]]
productN [] = []
productN ([]:xss) = productN xss