package lascar

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package lascar
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Extension to the Stdlib.List module

val fold_lefti : ('a -> int -> 'b -> 'a) -> 'a -> 'b list -> 'a

fold_lefti f a [b1; ...; bn] is f (... (f 1 (f 0 a b1) b2) ...) bn.

val fold_righti : (int -> 'a -> 'b -> 'b) -> 'a list -> 'b -> 'b

fold_righti f [a1; ...; an] b is f a1 (f (n-2) a2 (... (f (n-1) an b) ...)).

val split3 : ('a * 'b * 'c) list -> 'a list * 'b list * 'c list

Transform a list of triplets into a triplet of lists.

val combine3 : 'a list -> 'b list -> 'c list -> ('a * 'b * 'c) list

Transform a triplet of lists into a list of triplets.

val to_string : ('a -> string) -> string -> 'a list -> string

to_string f sep [x1;...;xn] returns f x1 ^ sep ^ f x2 ^ sep ^ ... ^ sep ^ f xn or the empty string if the list is empty

val range : (int -> 'a) -> int -> int -> 'a list

make f n1 n2 returns [f n1; ..., f n2] if n2>=n1 or the empty list if n2<n1

val index_of : 'a -> 'a list -> int

index_of e l returns the index of the first occurence of e in list l, starting at 0.

  • raises Failure

    is e does not occur in l

val flat_map : ('a -> 'b list) -> 'a list -> 'b list

flat_map f [x1;...,xn] is f x1 @ f x2 @ ... @ f xn

val inter : 'a list -> 'a list -> 'a list

inter l1 l2 returns the intersection of the lists l1 and l2

val union : 'a list -> 'a list -> 'a list

union l1 l2 returns the union of the lists l1 and l2

val merge : ?cmp:('a -> 'a -> int) -> 'a list -> 'a list -> 'a list

merge p l1 l2 merges lists l1 and l2 using comparison function cmp (default: Pervasives.compare). For example, merge [1;3;8] [2;5;6;10] = [1;2;3;5;5;8;10].

val prod : ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list

prod f l1 l2 computes the "product" of lists l1 and l2, i.e. the list obtained by applying f to each possible pair of elements of l1 and l2.

val cart_prod2 : 'a list -> 'b list -> ('a * 'b) list

cart_prod is a specialized version of prod in which f x y = (x,y)

val prod3 : ('a -> 'b -> 'c -> 'd) -> 'a list -> 'b list -> 'c list -> 'd list
val cart_prod3 : 'a list -> 'b list -> 'c list -> ('a * 'b * 'c) list

prod3 (resp. cart_prod3) are generalisations of prod (resp. cart_prod2) to three input lists

val cart_prodn : 'a list list -> 'a list list

gen_cart_prod computes the n-ary cartesian product of lists.

val filter_map : ('a -> bool) -> ('a -> 'b) -> 'a list -> 'b list

filter_map p f l is a short-cut for List.map f (List.filter p l)

val iter_sep : ('a -> unit) -> (unit -> unit) -> 'a list -> unit

iter_sep f g l is like List.iter f l but calls function g between each call to function f.

val iter_fst : (bool -> 'a -> unit) -> 'a list -> unit

iter_fst f [x1;x2;...xn] is f true x1; f false x2; ...; f false xn

val remove : 'a -> 'a list -> 'a list

remove e l is a short-cut for List.filter (fun e' -> e <> e') l)

val power_set : 'a list -> 'a list list

power_set l computes the "power set" of l, i.e. the list of all lists composed of elements of l. The length of the result is 2^n, where n is the length of l. Example: power [1;2;3] is [[];[1];[2];[3];[1;2];[1;3];[2;3];[1;2;3]]

val power : int -> 'a list -> 'a list list

power n l computes the list of all lists of length n made of elements of l. The length of the result is m^n, where m is the length of l. Example : power 2 [1;2;3] is [[1;1];[2;1];[3;1];[1;2];[2;2];[3;2];[1;3];[2;3];[3;3]]

val assoc : ?cmp:('a -> 'a -> int) -> 'a -> ('a * 'c) list -> 'c
val mem_assoc : ?cmp:('a -> 'a -> int) -> 'a -> ('a * 'c) list -> bool

assoc (resp. mem_assoc) is a variant of Stdlib.List.assoc (resp. Stdlib.List.mem_assoc) in which the comparison function used for comparing keys can be passed as an optional argument. By default, Pervasive.compare is used.

val update_assoc : ?cmp:('k -> 'k -> int) -> ('v -> 'a -> 'v) -> 'k -> 'a -> ('k * 'v) list -> ('k * 'v) list

update_assoc f k v l replaces the value v' associated to each occurrence of key k in the association list l by f v' v. If k does not occur, l is unchanged. As for assoc and mem_assoc, the comparison function can be specified with the optional argument cmp.

val replace_assoc : ?cmp:('k -> 'k -> int) -> 'k -> 'v -> ('k * 'v) list -> ('k * 'v) list

replace_assoc k v l is update_assoc (fun _ v -> v) v k. It replaces the value associated to each occurrence of key k by v in the association list l. If k does not occur, l is unchanged. As for assoc and mem_assoc, the comparison function can be specified with the optional argument cmp.

val partition : ?cmp:('a -> 'a -> int) -> ('a * 'b) list -> ('a * 'b list) list

partition [(x1,y1);...;(xn;yn)] returns the list [k1,ys1; ...;km,ysm] where k1,...,km are all the distinct values occuring in [x1;...;xn] and ysi the list of values yj paired with ki in the input list. For example partition [(1,"a");(3,"b");(1,"c");(3,"d")] is [3,["d";"b"];1,["b";"a"]].

val scatter : ('a -> int) -> 'a list -> 'a list array

scatter h l returns an array a in which a.(i) is the list of all elements x of l such that h x = i. The length of the array is computed from the maximum value of h on l. Example: scatter String.length ["a";"bc";"de";"fghi"] is [|[];["a"];["bc;de"];[];["fghi"]|]. As for assoc and mem_assoc, the comparison function can be specified with the optional argument cmp.

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