package gen
Library
Module
Module type
Parameter
Class
Class type
type 'a t = unit -> 'a gen
type 'a restartable = 'a t
include S with type 'a t := 'a restartable
val empty : 'a restartable
Empty generator, with no elements
val singleton : 'a -> 'a restartable
One-element generator
val return : 'a -> 'a restartable
Alias to singleton
val repeat : 'a -> 'a restartable
Repeat same element endlessly
val iterate : 'a -> ('a -> 'a) -> 'a restartable
iterate x f
is [x; f x; f (f x); f (f (f x)); ...]
val unfold : ('b -> ('a * 'b) option) -> 'b -> 'a restartable
Dual of fold
, with a deconstructing operation. It keeps on unfolding the 'b
value into a new 'b
, and a 'a
which is yielded, until None
is returned.
val init : ?limit:int -> (int -> 'a) -> 'a restartable
Calls the function, starting from 0, on increasing indices. If limit
is provided and is a positive int, iteration will stop at the limit (excluded). For instance init ~limit:4 id
will yield 0, 1, 2, and 3.
Basic combinators
Note: those combinators, applied to generators (not restartable generators) consume their argument. Sometimes they consume it lazily, sometimes eagerly, but in any case once f gen
has been called (with f
a combinator), gen
shouldn't be used anymore.
val is_empty : _ restartable -> bool
Check whether the gen is empty. Pops an element, if any
val fold : ('b -> 'a -> 'b) -> 'b -> 'a restartable -> 'b
Fold on the generator, tail-recursively. Consumes the generator.
val reduce : ('a -> 'a -> 'a) -> 'a restartable -> 'a
Fold on non-empty sequences. Consumes the generator.
val scan : ('b -> 'a -> 'b) -> 'b -> 'a restartable -> 'b restartable
Like fold
, but keeping successive values of the accumulator. Consumes the generator.
val unfold_scan :
('b -> 'a -> 'b * 'c) ->
'b ->
'a restartable ->
'c restartable
val iter : ('a -> unit) -> 'a restartable -> unit
Iterate on the gen, consumes it.
val iteri : (int -> 'a -> unit) -> 'a restartable -> unit
Iterate on elements with their index in the gen, from 0, consuming it.
val length : _ restartable -> int
Length of an gen (linear time), consuming it
val map : ('a -> 'b) -> 'a restartable -> 'b restartable
Lazy map. No iteration is performed now, the function will be called when the result is traversed.
val mapi : (int -> 'a -> 'b) -> 'a restartable -> 'b restartable
Lazy map with indexing starting from 0. No iteration is performed now, the function will be called when the result is traversed.
val fold_map : ('b -> 'a -> 'b) -> 'b -> 'a restartable -> 'b restartable
Lazy fold and map. No iteration is performed now, the function will be called when the result is traversed. The result is an iterator over the successive states of the fold.
val append : 'a restartable -> 'a restartable -> 'a restartable
Append the two gens; the result contains the elements of the first, then the elements of the second gen.
val flatten : 'a Gen_intf.gen restartable -> 'a restartable
Flatten the generator of generators
val flat_map : ('a -> 'b Gen_intf.gen) -> 'a restartable -> 'b restartable
Monadic bind; each element is transformed to a sub-gen which is then iterated on, before the next element is processed, and so on.
val mem : ?eq:('a -> 'a -> bool) -> 'a -> 'a restartable -> bool
Is the given element, member of the gen?
val take : int -> 'a restartable -> 'a restartable
Take at most n elements
val drop : int -> 'a restartable -> 'a restartable
Drop n elements
val nth : int -> 'a restartable -> 'a
n-th element, or Not_found
val take_nth : int -> 'a restartable -> 'a restartable
take_nth n g
returns every element of g
whose index is a multiple of n
. For instance take_nth 2 (1--10) |> to_list
will return 1;3;5;7;9
val filter : ('a -> bool) -> 'a restartable -> 'a restartable
Filter out elements that do not satisfy the predicate.
val take_while : ('a -> bool) -> 'a restartable -> 'a restartable
Take elements while they satisfy the predicate. The initial generator itself is not to be used anymore after this.
val fold_while :
('a -> 'b -> 'a * [ `Stop | `Continue ]) ->
'a ->
'b restartable ->
'a
Fold elements until ('a, `Stop
) is indicated by the accumulator.
val drop_while : ('a -> bool) -> 'a restartable -> 'a restartable
Drop elements while they satisfy the predicate. The initial generator itself should not be used anymore, only the result of drop_while
.
val filter_map : ('a -> 'b option) -> 'a restartable -> 'b restartable
Maps some elements to 'b, drop the other ones
val zip_index : 'a restartable -> (int * 'a) restartable
Zip elements with their index in the gen
val unzip : ('a * 'b) restartable -> 'a restartable * 'b restartable
Unzip into two sequences, splitting each pair
val partition :
('a -> bool) ->
'a restartable ->
'a restartable * 'a restartable
partition p l
returns the elements that satisfy p
, and the elements that do not satisfy p
val for_all : ('a -> bool) -> 'a restartable -> bool
Is the predicate true for all elements?
val exists : ('a -> bool) -> 'a restartable -> bool
Is the predicate true for at least one element?
val min : ?lt:('a -> 'a -> bool) -> 'a restartable -> 'a
Minimum element, according to the given comparison function.
val max : ?lt:('a -> 'a -> bool) -> 'a restartable -> 'a
Maximum element, see min
val eq : ?eq:('a -> 'a -> bool) -> 'a restartable -> 'a restartable -> bool
Equality of generators.
val lexico : ?cmp:('a -> 'a -> int) -> 'a restartable -> 'a restartable -> int
Lexicographic comparison of generators. If a generator is a prefix of the other one, it is considered smaller.
val compare : ?cmp:('a -> 'a -> int) -> 'a restartable -> 'a restartable -> int
Synonym for lexico
val find : ('a -> bool) -> 'a restartable -> 'a option
find p e
returns the first element of e
to satisfy p
, or None.
val sum : int restartable -> int
Sum of all elements
Multiple iterators
val map2 :
('a -> 'b -> 'c) ->
'a restartable ->
'b restartable ->
'c restartable
Map on the two sequences. Stops once one of them is exhausted.
val iter2 : ('a -> 'b -> unit) -> 'a restartable -> 'b restartable -> unit
Iterate on the two sequences. Stops once one of them is exhausted.
val fold2 :
('acc -> 'a -> 'b -> 'acc) ->
'acc ->
'a restartable ->
'b restartable ->
'acc
Fold the common prefix of the two iterators
val for_all2 : ('a -> 'b -> bool) -> 'a restartable -> 'b restartable -> bool
Succeeds if all pairs of elements satisfy the predicate. Ignores elements of an iterator if the other runs dry.
val exists2 : ('a -> 'b -> bool) -> 'a restartable -> 'b restartable -> bool
Succeeds if some pair of elements satisfy the predicate. Ignores elements of an iterator if the other runs dry.
val zip_with :
('a -> 'b -> 'c) ->
'a restartable ->
'b restartable ->
'c restartable
Combine common part of the gens (stops when one is exhausted)
val zip : 'a restartable -> 'b restartable -> ('a * 'b) restartable
Zip together the common part of the gens
Complex combinators
val merge : 'a Gen_intf.gen restartable -> 'a restartable
Pick elements fairly in each sub-generator. The merge of gens e1, e2, ...
picks elements in e1
, e2
, in e3
, e1
, e2
.... Once a generator is empty, it is skipped; when they are all empty, and none remains in the input, their merge is also empty. For instance, merge [1;3;5] [2;4;6]
will be, in disorder, 1;2;3;4;5;6
.
val intersection :
?cmp:('a -> 'a -> int) ->
'a restartable ->
'a restartable ->
'a restartable
Intersection of two sorted sequences. Only elements that occur in both inputs appear in the output
val sorted_merge :
?cmp:('a -> 'a -> int) ->
'a restartable ->
'a restartable ->
'a restartable
Merge two sorted sequences into a sorted sequence
val sorted_merge_n :
?cmp:('a -> 'a -> int) ->
'a restartable list ->
'a restartable
Sorted merge of multiple sorted sequences
val tee : ?n:int -> 'a restartable -> 'a Gen_intf.gen list
Duplicate the gen into n
generators (default 2). The generators share the same underlying instance of the gen, so the optimal case is when they are consumed evenly
val round_robin : ?n:int -> 'a restartable -> 'a Gen_intf.gen list
Split the gen into n
generators in a fair way. Elements with index = k mod n
with go to the k-th gen. n
default value is 2.
val interleave : 'a restartable -> 'a restartable -> 'a restartable
interleave a b
yields an element of a
, then an element of b
, and so on. When a generator is exhausted, this behaves like the other generator.
val intersperse : 'a -> 'a restartable -> 'a restartable
Put the separator element between all elements of the given gen
val product : 'a restartable -> 'b restartable -> ('a * 'b) restartable
Cartesian product, in no predictable order. Works even if some of the arguments are infinite.
val group : ?eq:('a -> 'a -> bool) -> 'a restartable -> 'a list restartable
Group equal consecutive elements together.
val uniq : ?eq:('a -> 'a -> bool) -> 'a restartable -> 'a restartable
Remove consecutive duplicate elements. Basically this is like fun e -> map List.hd (group e)
.
val sort : ?cmp:('a -> 'a -> int) -> 'a restartable -> 'a restartable
Sort according to the given comparison function. The gen must be finite.
val sort_uniq : ?cmp:('a -> 'a -> int) -> 'a restartable -> 'a restartable
Sort and remove duplicates. The gen must be finite.
val chunks : int -> 'a restartable -> 'a array restartable
chunks n e
returns a generator of arrays of length n
, composed of successive elements of e
. The last array may be smaller than n
val permutations : 'a restartable -> 'a list restartable
Permutations of the gen.
val permutations_heap : 'a restartable -> 'a array restartable
Permutations of the gen, using Heap's algorithm.
val combinations : int -> 'a restartable -> 'a list restartable
Combinations of given length. The ordering of the elements within each combination is unspecified. Example (ignoring ordering): combinations 2 (1--3) |> to_list = [[1;2]; [1;3]; [2;3]]
val power_set : 'a restartable -> 'a list restartable
All subsets of the gen (in no particular order). The ordering of the elements within each subset is unspecified.
Basic conversion functions
val of_list : 'a list -> 'a restartable
Enumerate elements of the list
val to_list : 'a restartable -> 'a list
non tail-call trasnformation to list, in the same order
val to_rev_list : 'a restartable -> 'a list
Tail call conversion to list, in reverse order (more efficient)
val to_array : 'a restartable -> 'a array
Convert the gen to an array (not very efficient)
val of_array : ?start:int -> ?len:int -> 'a array -> 'a restartable
Iterate on (a slice of) the given array
val of_string : ?start:int -> ?len:int -> string -> char restartable
Iterate on bytes of the string
val to_string : char restartable -> string
Convert into a string
val to_buffer : Stdlib.Buffer.t -> char restartable -> unit
Consumes the iterator and writes to the buffer
val rand_int : int -> int restartable
Random ints in the given range.
val int_range : ?step:int -> int -> int -> int restartable
int_range ~step a b
generates integers between a
and b
, included, with steps of length step
(1 if omitted). a
is assumed to be smaller than b
, otherwise the result will be empty.
val lines : char restartable -> string restartable
Group together chars belonging to the same line
val unlines : string restartable -> char restartable
Explode lines into their chars, adding a '\n'
after each one
module Infix : sig ... end
val (--) : int -> int -> int restartable
Synonym for int_range ~by:1
val (>>=) : 'a restartable -> ('a -> 'b Gen_intf.gen) -> 'b restartable
Monadic bind operator
val (>>|) : 'a restartable -> ('a -> 'b) -> 'b restartable
Infix map operator
val (>|=) : 'a restartable -> ('a -> 'b) -> 'b restartable
Infix map operator
val pp :
?start:string ->
?stop:string ->
?sep:string ->
?horizontal:bool ->
(Stdlib.Format.formatter -> 'a -> unit) ->
Stdlib.Format.formatter ->
'a restartable ->
unit
Pretty print the content of the generator on a formatter.
val of_seq : 'a Stdlib.Seq.t -> 'a restartable
val to_iter : 'a restartable -> 'a Gen_intf.iter
Use persistent_lazy
to convert a one-shot generator into a restartable one. See GenMList.of_gen_lazy
for more details on parameters.