# General list operations. { lib }: with lib.trivial; let inherit (lib.strings) toInt; in rec { inherit (builtins) head tail length isList elemAt concatLists filter elem genList; /* Create a list consisting of a single element. `singleton x' is sometimes more convenient with respect to indentation than `[x]' when x spans multiple lines. Example: singleton "foo" => [ "foo" ] */ singleton = x: [x]; /* “right fold” a binary function `op' between successive elements of `list' with `nul' as the starting value, i.e., `foldr op nul [x_1 x_2 ... x_n] == op x_1 (op x_2 ... (op x_n nul))'. Type: foldr :: (a -> b -> b) -> b -> [a] -> b Example: concat = foldr (a: b: a + b) "z" concat [ "a" "b" "c" ] => "abcz" # different types strange = foldr (int: str: toString (int + 1) + str) "a" strange [ 1 2 3 4 ] => "2345a" */ foldr = op: nul: list: let len = length list; fold' = n: if n == len then nul else op (elemAt list n) (fold' (n + 1)); in fold' 0; /* `fold' is an alias of `foldr' for historic reasons */ # FIXME(Profpatsch): deprecate? fold = foldr; /* “left fold”, like `foldr', but from the left: `foldl op nul [x_1 x_2 ... x_n] == op (... (op (op nul x_1) x_2) ... x_n)`. Type: foldl :: (b -> a -> b) -> b -> [a] -> b Example: lconcat = foldl (a: b: a + b) "z" lconcat [ "a" "b" "c" ] => "zabc" # different types lstrange = foldl (str: int: str + toString (int + 1)) "" strange [ 1 2 3 4 ] => "a2345" */ foldl = op: nul: list: let len = length list; foldl' = n: if n == -1 then nul else op (foldl' (n - 1)) (elemAt list n); in foldl' (length list - 1); /* Strict version of `foldl'. The difference is that evaluation is forced upon access. Usually used with small whole results (in contract with lazily-generated list or large lists where only a part is consumed.) */ foldl' = builtins.foldl' or foldl; /* Map with index starting from 0 Example: imap0 (i: v: "${v}-${toString i}") ["a" "b"] => [ "a-0" "b-1" ] */ imap0 = f: list: genList (n: f n (elemAt list n)) (length list); /* Map with index starting from 1 Example: imap1 (i: v: "${v}-${toString i}") ["a" "b"] => [ "a-1" "b-2" ] */ imap1 = f: list: genList (n: f (n + 1) (elemAt list n)) (length list); /* Map and concatenate the result. Example: concatMap (x: [x] ++ ["z"]) ["a" "b"] => [ "a" "z" "b" "z" ] */ concatMap = f: list: concatLists (map f list); /* Flatten the argument into a single list; that is, nested lists are spliced into the top-level lists. Example: flatten [1 [2 [3] 4] 5] => [1 2 3 4 5] flatten 1 => [1] */ flatten = x: if isList x then concatMap (y: flatten y) x else [x]; /* Remove elements equal to 'e' from a list. Useful for buildInputs. Example: remove 3 [ 1 3 4 3 ] => [ 1 4 ] */ remove = e: filter (x: x != e); /* Find the sole element in the list matching the specified predicate, returns `default' if no such element exists, or `multiple' if there are multiple matching elements. Example: findSingle (x: x == 3) "none" "multiple" [ 1 3 3 ] => "multiple" findSingle (x: x == 3) "none" "multiple" [ 1 3 ] => 3 findSingle (x: x == 3) "none" "multiple" [ 1 9 ] => "none" */ findSingle = pred: default: multiple: list: let found = filter pred list; len = length found; in if len == 0 then default else if len != 1 then multiple else head found; /* Find the first element in the list matching the specified predicate or returns `default' if no such element exists. Example: findFirst (x: x > 3) 7 [ 1 6 4 ] => 6 findFirst (x: x > 9) 7 [ 1 6 4 ] => 7 */ findFirst = pred: default: list: let found = filter pred list; in if found == [] then default else head found; /* Return true iff function `pred' returns true for at least element of `list'. Example: any isString [ 1 "a" { } ] => true any isString [ 1 { } ] => false */ any = builtins.any or (pred: foldr (x: y: if pred x then true else y) false); /* Return true iff function `pred' returns true for all elements of `list'. Example: all (x: x < 3) [ 1 2 ] => true all (x: x < 3) [ 1 2 3 ] => false */ all = builtins.all or (pred: foldr (x: y: if pred x then y else false) true); /* Count how many times function `pred' returns true for the elements of `list'. Example: count (x: x == 3) [ 3 2 3 4 6 ] => 2 */ count = pred: foldl' (c: x: if pred x then c + 1 else c) 0; /* Return a singleton list or an empty list, depending on a boolean value. Useful when building lists with optional elements (e.g. `++ optional (system == "i686-linux") flashplayer'). Example: optional true "foo" => [ "foo" ] optional false "foo" => [ ] */ optional = cond: elem: if cond then [elem] else []; /* Return a list or an empty list, depending on a boolean value. Example: optionals true [ 2 3 ] => [ 2 3 ] optionals false [ 2 3 ] => [ ] */ optionals = cond: elems: if cond then elems else []; /* If argument is a list, return it; else, wrap it in a singleton list. If you're using this, you should almost certainly reconsider if there isn't a more "well-typed" approach. Example: toList [ 1 2 ] => [ 1 2 ] toList "hi" => [ "hi "] */ toList = x: if isList x then x else [x]; /* Return a list of integers from `first' up to and including `last'. Example: range 2 4 => [ 2 3 4 ] range 3 2 => [ ] */ range = first: last: if first > last then [] else genList (n: first + n) (last - first + 1); /* Splits the elements of a list in two lists, `right' and `wrong', depending on the evaluation of a predicate. Example: partition (x: x > 2) [ 5 1 2 3 4 ] => { right = [ 5 3 4 ]; wrong = [ 1 2 ]; } */ partition = builtins.partition or (pred: foldr (h: t: if pred h then { right = [h] ++ t.right; wrong = t.wrong; } else { right = t.right; wrong = [h] ++ t.wrong; } ) { right = []; wrong = []; }); /* Merges two lists of the same size together. If the sizes aren't the same the merging stops at the shortest. How both lists are merged is defined by the first argument. Example: zipListsWith (a: b: a + b) ["h" "l"] ["e" "o"] => ["he" "lo"] */ zipListsWith = f: fst: snd: genList (n: f (elemAt fst n) (elemAt snd n)) (min (length fst) (length snd)); /* Merges two lists of the same size together. If the sizes aren't the same the merging stops at the shortest. Example: zipLists [ 1 2 ] [ "a" "b" ] => [ { fst = 1; snd = "a"; } { fst = 2; snd = "b"; } ] */ zipLists = zipListsWith (fst: snd: { inherit fst snd; }); /* Reverse the order of the elements of a list. Example: reverseList [ "b" "o" "j" ] => [ "j" "o" "b" ] */ reverseList = xs: let l = length xs; in genList (n: elemAt xs (l - n - 1)) l; /* Depth-First Search (DFS) for lists `list != []`. `before a b == true` means that `b` depends on `a` (there's an edge from `b` to `a`). Examples: listDfs true hasPrefix [ "/home/user" "other" "/" "/home" ] == { minimal = "/"; # minimal element visited = [ "/home/user" ]; # seen elements (in reverse order) rest = [ "/home" "other" ]; # everything else } listDfs true hasPrefix [ "/home/user" "other" "/" "/home" "/" ] == { cycle = "/"; # cycle encountered at this element loops = [ "/" ]; # and continues to these elements visited = [ "/" "/home/user" ]; # elements leading to the cycle (in reverse order) rest = [ "/home" "other" ]; # everything else */ listDfs = stopOnCycles: before: list: let dfs' = us: visited: rest: let c = filter (x: before x us) visited; b = partition (x: before x us) rest; in if stopOnCycles && (length c > 0) then { cycle = us; loops = c; inherit visited rest; } else if length b.right == 0 then # nothing is before us { minimal = us; inherit visited rest; } else # grab the first one before us and continue dfs' (head b.right) ([ us ] ++ visited) (tail b.right ++ b.wrong); in dfs' (head list) [] (tail list); /* Sort a list based on a partial ordering using DFS. This implementation is O(N^2), if your ordering is linear, use `sort` instead. `before a b == true` means that `b` should be after `a` in the result. Examples: toposort hasPrefix [ "/home/user" "other" "/" "/home" ] == { result = [ "/" "/home" "/home/user" "other" ]; } toposort hasPrefix [ "/home/user" "other" "/" "/home" "/" ] == { cycle = [ "/home/user" "/" "/" ]; # path leading to a cycle loops = [ "/" ]; } # loops back to these elements toposort hasPrefix [ "other" "/home/user" "/home" "/" ] == { result = [ "other" "/" "/home" "/home/user" ]; } toposort (a: b: a < b) [ 3 2 1 ] == { result = [ 1 2 3 ]; } */ toposort = before: list: let dfsthis = listDfs true before list; toporest = toposort before (dfsthis.visited ++ dfsthis.rest); in if length list < 2 then # finish { result = list; } else if dfsthis ? "cycle" then # there's a cycle, starting from the current vertex, return it { cycle = reverseList ([ dfsthis.cycle ] ++ dfsthis.visited); inherit (dfsthis) loops; } else if toporest ? "cycle" then # there's a cycle somewhere else in the graph, return it toporest # Slow, but short. Can be made a bit faster with an explicit stack. else # there are no cycles { result = [ dfsthis.minimal ] ++ toporest.result; }; /* Sort a list based on a comparator function which compares two elements and returns true if the first argument is strictly below the second argument. The returned list is sorted in an increasing order. The implementation does a quick-sort. Example: sort (a: b: a < b) [ 5 3 7 ] => [ 3 5 7 ] */ sort = builtins.sort or ( strictLess: list: let len = length list; first = head list; pivot' = n: acc@{ left, right }: let el = elemAt list n; next = pivot' (n + 1); in if n == len then acc else if strictLess first el then next { inherit left; right = [ el ] ++ right; } else next { left = [ el ] ++ left; inherit right; }; pivot = pivot' 1 { left = []; right = []; }; in if len < 2 then list else (sort strictLess pivot.left) ++ [ first ] ++ (sort strictLess pivot.right)); /* Compare two lists element-by-element. Example: compareLists compare [] [] => 0 compareLists compare [] [ "a" ] => -1 compareLists compare [ "a" ] [] => 1 compareLists compare [ "a" "b" ] [ "a" "c" ] => 1 */ compareLists = cmp: a: b: if a == [] then if b == [] then 0 else -1 else if b == [] then 1 else let rel = cmp (head a) (head b); in if rel == 0 then compareLists cmp (tail a) (tail b) else rel; /* Sort list using "Natural sorting". Numeric portions of strings are sorted in numeric order. Example: naturalSort ["disk11" "disk8" "disk100" "disk9"] => ["disk8" "disk9" "disk11" "disk100"] naturalSort ["46.133.149.113" "5.16.62.13" "54.16.25.114"] => ["5.16.62.13" "46.133.149.113" "54.16.25.114"] naturalSort ["v0.2" "v0.15" "v0.0.9"] => [ "v0.0.9" "v0.2" "v0.15" ] */ naturalSort = lst: let vectorise = s: map (x: if isList x then toInt (head x) else x) (builtins.split "(0|[1-9][0-9]*)" s); prepared = map (x: [ (vectorise x) x ]) lst; # remember vectorised version for O(n) regex splits less = a: b: (compareLists compare (head a) (head b)) < 0; in map (x: elemAt x 1) (sort less prepared); /* Return the first (at most) N elements of a list. Example: take 2 [ "a" "b" "c" "d" ] => [ "a" "b" ] take 2 [ ] => [ ] */ take = count: sublist 0 count; /* Remove the first (at most) N elements of a list. Example: drop 2 [ "a" "b" "c" "d" ] => [ "c" "d" ] drop 2 [ ] => [ ] */ drop = count: list: sublist count (length list) list; /* Return a list consisting of at most ‘count’ elements of ‘list’, starting at index ‘start’. Example: sublist 1 3 [ "a" "b" "c" "d" "e" ] => [ "b" "c" "d" ] sublist 1 3 [ ] => [ ] */ sublist = start: count: list: let len = length list; in genList (n: elemAt list (n + start)) (if start >= len then 0 else if start + count > len then len - start else count); /* Return the last element of a list. Example: last [ 1 2 3 ] => 3 */ last = list: assert list != []; elemAt list (length list - 1); /* Return all elements but the last Example: init [ 1 2 3 ] => [ 1 2 ] */ init = list: assert list != []; take (length list - 1) list; /* return the image of the cross product of some lists by a function Example: crossLists (x:y: "${toString x}${toString y}") [[1 2] [3 4]] => [ "13" "14" "23" "24" ] */ crossLists = f: foldl (fs: args: concatMap (f: map f args) fs) [f]; /* Remove duplicate elements from the list. O(n^2) complexity. Example: unique [ 3 2 3 4 ] => [ 3 2 4 ] */ unique = list: if list == [] then [] else let x = head list; xs = unique (drop 1 list); in [x] ++ remove x xs; /* Intersects list 'e' and another list. O(nm) complexity. Example: intersectLists [ 1 2 3 ] [ 6 3 2 ] => [ 3 2 ] */ intersectLists = e: filter (x: elem x e); /* Subtracts list 'e' from another list. O(nm) complexity. Example: subtractLists [ 3 2 ] [ 1 2 3 4 5 3 ] => [ 1 4 5 ] */ subtractLists = e: filter (x: !(elem x e)); /* Test if two lists have no common element. It should be slightly more efficient than (intersectLists a b == []) */ mutuallyExclusive = a: b: (builtins.length a) == 0 || (!(builtins.elem (builtins.head a) b) && mutuallyExclusive (builtins.tail a) b); }