package batteries
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dune-project
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doc/batteries.unthreaded/BatFingerTree/module-type-S/index.html
Module type BatFingerTree.S
A type meant to avoid duplication of signatures.
For the generic finger tree, this type will be monoid:'m monoid -> measure:('a -> 'm) -> 'wrapped_type.
Once the finger tree has been specialized, the resulting module should be reexported in such a way that the type is now simply 'wrapped_type.
Construction
val empty : ('a, 'm) fgempty is the sequence with no elements.
val singleton : 'a -> ('a, 'm) fgsingleton elt build the sequence containing elt as its sole element.
O(1).
cons t elt adds elt to the left of t.
O(1) amortized, O(log(n)) worst case.
snoc t elt adds elt to the right of t.
O(1) amortized, O(log(n)) worst case.
Deconstruction
front t returns None when t is empty, or Some (tl, hd) when hd is the first element of the sequence and tl is the rest of the sequence.
O(1) amortized, O(log(n)) worst case.
front_exn t returns (tl, hd) when hd is the first element of the sequence and tl is the rest of the sequence.
O(1) amortized, O(log(n)) worst case.
val head : ('a, 'm) fg -> 'a optionhead t returns None if t is empty, or Some hd otherwise, where hd is the first element of the sequence.
O(1).
val head_exn : ('a, 'm) fg -> 'ahead_exn t returns the first element of the sequence.
O(1).
val last : ('a, 'm) fg -> 'a optionlast t returns None if t is empty, or Some hd otherwise, where hd is the last element of the sequence.
O(1).
val last_exn : ('a, 'm) fg -> 'alast_exn t returns the last element of the sequence.
O(1).
tail t returns None when t is empty, or Some tl where tl is the sequence t where the first element has been removed.
O(1) amortized, O(log(n)) worst case.
tail_exn t returns the sequence t where the first element has been removed.
O(1) amortized, O(log(n)) worst case.
init t returns None if t is empty, or Some init where init is the sequence t where the last element has been removed.
O(1) amortized, O(log(n)) worst case.
init_exn t returns the sequence t where the last element has been removed.
O(1) amortized, O(log(n)) worst case.
rear t returns None when t is empty, or Some (init, last) where last is the last element of the sequence and init is the rest of the sequence.
O(1) amortized, O(log(n)) worst case.
rear_exn t returns (init, last) when last is the last element of the sequence and init is the rest of the sequence.
O(1) amortized, O(log(n)) worst case.
Inspection
val size : ('a, 'm) fg -> intsize t returns the number of elements in the sequence. If you want to know that a sequence is empty, it is much better to use is_empty.
O(n).
val is_empty : ('a, 'm) fg -> boolis_empty t returns true when the sequence has no elements.
O(1).
val fold_left : ('acc -> 'a -> 'acc) -> 'acc -> ('a, 'm) fg -> 'accfold_left is equivalent to List.fold_left.
O(n).
val fold_right : ('acc -> 'a -> 'acc) -> 'acc -> ('a, 'm) fg -> 'accfold_right is equivalent to List.fold_right.
O(n).
val iter : ('a -> unit) -> ('a, 'm) fg -> unititer is equivalent to List.iter.
O(n).
val iter_right : ('a -> unit) -> ('a, 'm) fg -> unititer_right is equivalent to List.iter o List.rev.
O(n).
compare cmp t1 t2 compares the two sequences lexicographically.
O(n).
equal eq t1 t2 returns true when the two sequences contain the the same elements.
O(n).
Conversions
Conversions to other structures
enum t builds an enumeration of the elements of t going from left to right.
O(1).
Forcing the whole enumeration takes O(n).
backwards t builds an enumeration of the elements of t going from right to left. Same complexity as enum.
val to_list : ('a, 'm) fg -> 'a listto_list t is equivalent to BatList.of_enum (enum t).
O(n).
val to_list_backwards : ('a, 'm) fg -> 'a listto_list_backwards t is equivalent to BatList.of_enum (backwards t).
O(n).
Conversions from other structures
of_enum e build the sequence containing the elements of e in the same order.
Its complexity is the complexity of forcing the enumeration.
of_backwards e is equivalent to reverse (of_enum e).
O(n).
of_list l is equivalent to of_enum (BatList.enum l).
O(n).
of_list_backwards l is equivalent to of_enum_backwards (BatList.enum l).
O(n).
Combining/reorganizing
map is equivalent to List.map.
O(n).
map_right is equivalent to List.rev o List.map o List.rev.
O(n).
append is equivalent to List.append.
O(log(min(n,m))).
reverse t is equivalent to of_list (List.rev (to_list t)).
O(n).
Boilerplate code
val print :
?first:string ->
?last:string ->
?sep:string ->
('a, 'b) BatIO.printer ->
(('a, _) fg, 'b) BatIO.printer