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fromListWith :: Ord k => (a -> a -> a) -> [(k, a)] -> Map k acontainers Data.Map.Strict.Internal Build a map from a list of key/value pairs with a combining function. See also fromAscListWith.
fromListWith (++) [(5,"a"), (5,"b"), (3,"x"), (5,"c")] == fromList [(3, "x"), (5, "cba")] fromListWith (++) [] == empty
Note the reverse ordering of "cba" in the example. The symmetric combining function f is applied in a left-fold over the list, as f new old.Performance
You should ensure that the given f is fast with this order of arguments. Symmetric functions may be slow in one order, and fast in another. For the common case of collecting values of matching keys in a list, as above: The complexity of (++) a b is <math>, so it is fast when given a short list as its first argument. Thus:fromListWith (++) (replicate 1000000 (3, "x")) -- O(n), fast fromListWith (flip (++)) (replicate 1000000 (3, "x")) -- O(n²), extremely slow
because they evaluate as, respectively:fromList [(3, "x" ++ ("x" ++ "xxxxx..xxxxx"))] -- O(n) fromList [(3, ("xxxxx..xxxxx" ++ "x") ++ "x")] -- O(n²)Thus, to get good performance with an operation like (++) while also preserving the same order as in the input list, reverse the input:fromListWith (++) (reverse [(5,"a"), (5,"b"), (5,"c")]) == fromList [(5, "abc")]
and it is always fast to combine singleton-list values [v] with fromListWith (++), as in:fromListWith (++) $ reverse $ map (\(k, v) -> (k, [v])) someListOfTuples
fromListWithKey :: Ord k => (k -> a -> a -> a) -> [(k, a)] -> Map k acontainers Data.Map.Strict.Internal Build a map from a list of key/value pairs with a combining function. See also fromAscListWithKey.
let f key new_value old_value = show key ++ ":" ++ new_value ++ "|" ++ old_value fromListWithKey f [(5,"a"), (5,"b"), (3,"b"), (3,"a"), (5,"c")] == fromList [(3, "3:a|b"), (5, "5:c|5:b|a")] fromListWithKey f [] == empty
Also see the performance note on fromListWith.toAscList :: Map k a -> [(k, a)]containers Data.Map.Strict.Internal Convert the map to a list of key/value pairs where the keys are in ascending order. Subject to list fusion.
toAscList (fromList [(5,"a"), (3,"b")]) == [(3,"b"), (5,"a")]
toDescList :: Map k a -> [(k, a)]containers Data.Map.Strict.Internal Convert the map to a list of key/value pairs where the keys are in descending order. Subject to list fusion.
toDescList (fromList [(5,"a"), (3,"b")]) == [(5,"a"), (3,"b")]
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containers Data.Map.Strict.Internal Convert the map to a list of key/value pairs. Subject to list fusion.
toList (fromList [(5,"a"), (3,"b")]) == [(3,"b"), (5,"a")] toList empty == []
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containers Data.Sequence Create a sequence from a finite list of elements. There is a function toList in the opposite direction for all instances of the Foldable class, including Seq.
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containers Data.Sequence.Internal Create a sequence from a finite list of elements. There is a function toList in the opposite direction for all instances of the Foldable class, including Seq.
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containers Data.Sequence.Internal.Sorting No documentation available.
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containers Data.Sequence.Internal.Sorting No documentation available.
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containers Data.Sequence.Internal.Sorting No documentation available.