Extensible vectors with constant-time append/prepend.
This module implements extensible arrays which work very much like ropes as described in Boehm, H., Atkinson, R., and Plass, M. 1995. Ropes: an alternative to strings. Softw. Pract. Exper. 25, 12 (Dec. 1995), 1315-1330.
These vectors have some interesting properties:
All operations but destructive_set (provided for efficient ephemeral usage) are non-destructive: the original vect is never modified. When a new vect is returned as the result of an operation, it will share as much data as possible with its "parent". For instance, if a vect of length n undergoes m operations (assume n >> m) like set, append or prepend, the modified vector will only require O(m) space in addition to that taken by the original vect.
However, Vect is an amortized data structure, and its use in a persistent setting can easily degrade its amortized time bounds. It is thus mainly intended to be used ephemerally. In some cases, it is possible to use Vect persistently with the same amortized bounds by explicitly rebalancing vects to be reused using balance. Special care must be taken to avoid calling balance too frequently; in the limit, calling balance after each modification would defeat the purpose of amortization.
This module is not thread-safe.
val empty : 'a tThe empty vect.
val singleton : 'a -> 'a tReturns a vect of length 1 holding only the given element.
val of_array : 'a array -> 'a tof_array s returns a vect corresponding to the array s. Operates in O(n) time.
val to_array : 'a t -> 'a arrayto_array r returns an array corresponding to the vect r.
val to_list : 'a t -> 'a listReturns a list with the elements contained in the vect.
val of_list : 'a list -> 'a tval make : int -> 'a -> 'a tmake i c returns a vect of length i whose elements are all equal to c; it is similar to Array.make
val init : int -> (int -> 'a) -> 'a tinit n f returns a fresh vect of length n, with element number i initialized to the result of f i. In other terms, init n f tabulates the results of f applied to the integers 0 to n-1.
val is_empty : 'a t -> boolReturns whether the vect is empty or not.
val height : 'a t -> intReturns the height (depth) of the vect.
val length : 'a t -> intReturns the length of the vect (O(1)).
balance r returns a balanced copy of the r vect. Note that vects are automatically rebalanced when their height exceeds a given threshold, but balance allows to invoke that operation explicity.
concat r u concatenates the r and u vects. In general, it operates in O(log(min n1 n2)) amortized time. Small vects are treated specially and can be appended/prepended in amortized O(1) time.
append c r returns a new vect with the c element at the end in amortized O(1) time.
prepend c r returns a new vect with the c character at the beginning in amortized O(1) time.
val get : 'a t -> int -> 'aget v n returns the (n+1)th element from the vect v; i.e. get v 0 returns the first element. Operates in worst-case O(log size) time.
val at : 'a t -> int -> 'aas get
set v n c returns a copy of the v vect where the (n+1)th element (see also get) has been set to c. Operates in worst-case O(log size) time.
modify v n f is equivalent to set v n (f (get v n)), but more efficient. Operates in worst-case O(log size) time.
val destructive_set : 'a t -> int -> 'a -> unitdestructive_set v n c sets the element of index n in the v vect to c. This operation is destructive, and will also affect vects sharing the modified leaf with v. Use with caution.
sub m n r returns a sub-vect of r containing all the elements whose indexes range from m to m + n - 1 (included).
insert n r u returns a copy of the u vect where r has been inserted between the elements with index n - 1 and n in the original vect; after insertion, the first element of r (if any) is at index n. The length of the new vect is length u + length r. Operates in amortized O(log(size r) + log(size u)) time.
remove m n r returns the vect resulting from deleting the elements with indexes ranging from m to m + n - 1 (included) from the original vect r. The length of the new vect is length r - n. Operates in amortized O(log(size r)) time.
Returns an enumeration of the elements of the vector. Behavior of the enumeration is undefined if the contents of the vector changes afterwards.
Returns an enumeration of the elements of a vector, from last to first. Behavior of the enumeration is undefined if the contents of the vector changes afterwards.
val iter : ('a -> unit) -> 'a t -> unititer f r applies f to all the elements in the r vect, in order.
val iteri : (int -> 'a -> unit) -> 'a t -> unitOperates like iter, but also passes the index of the character to the given function.
val rangeiter : ('a -> unit) -> int -> int -> 'a t -> unitrangeiter f m n r applies f to all the elements whose indices k satisfy m <= k < m + n. It is thus equivalent to iter f (sub m n r), but does not create an intermediary vect. rangeiter operates in worst-case O(n + log m) time, which improves on the O(n log m) bound from an explicit loop using get.
val fold_left : ('b -> 'a -> 'b) -> 'b -> 'a t -> 'bfold_left f a r computes f (... (f (f a r0) r1)...) rN-1 where rn = Vect.get n r and N = length r.
val reduce : ('a -> 'a -> 'a) -> 'a t -> 'aas fold_left, but no initial value - just applies reducing function to elements from left to right.
val fold_right : ('a -> 'b -> 'b) -> 'a t -> 'b -> 'bfold_right f r a computes f (r0 ... (f rN-2 (f rN-1 a)) ...)) where rn = Vect.get n r and N = length r.
val foldi : (int -> 'b -> 'a -> 'b) -> 'b -> 'a t -> 'bAs fold, but with the position of each value passed to the folding function
map f v returns a vect isomorphic to v where each element of index i equals f (get v i). Therefore, the height of the returned vect is the same as that of the original one. Operates in O(n) time.
Same as map, but the function is applied to the index of the element as first argument, and the element itself as second argument.
val for_all : ('a -> bool) -> 'a t -> boolfor_all p [a0; a1; ...; an] checks if all elements of the vect satisfy the predicate p. That is, it returns (p a0) && (p a1) && ... && (p an).
val exists : ('a -> bool) -> 'a t -> boolexists p [a0; a1; ...; an] checks if at least one element of the vect satisfies the predicate p. That is, it returns (p a0) || (p a1) || ... || (p an).
val find : ('a -> bool) -> 'a t -> 'afind p v returns the first element of vect v that satisfies the predicate p.
val find_opt : ('a -> bool) -> 'a t -> 'a optionfind_opt p v returns Some a, where a is the first element of vect v that satisfies the predicate p, or None if no such element exists.
val mem : 'a -> 'a t -> boolmem a v is true if and only if a is equal to an element of v.
val memq : 'a -> 'a t -> boolSame as Vect.mem but uses physical equality instead of structural equality to compare vect elements.
val findi : ('a -> bool) -> 'a t -> intfindi p v returns the index of the first element of vect v that satisfies the predicate p.
filter f v returns a vect with the elements a from v such that f a returns true. Operates in O(n) time.
filter_map f v returns a vect consisting of all elements b such that f a returns Some b , where a is an element of v.
partition p v returns a pair of vects (v1, v2), where v1 is the vect of all the elements of v that satisfy the predicate p, and v2 is the vect of all the elements of v that do not satisfy p. The order of the elements in the input vect is preserved.
val first : 'a t -> 'aval last : 'a t -> 'aThese return the first and last values in the vector
These return the first and last values in the vector
Return the first element of a vector and its last n-1 elements.
Return the first element of a vector and its last n-1 elements.
Return the last element of a vector and its first n-1 elements.
val print :
?first:string ->
?last:string ->
?sep:string ->
('a BatInnerIO.output -> 'b -> unit) ->
'a BatInnerIO.output ->
'b t ->
unitval compare : 'a BatOrd.comp -> 'a t BatOrd.compval ord : 'a BatOrd.ord -> 'a t BatOrd.ordmodule type RANDOMACCESS = sig ... endmodule Make (R : RANDOMACCESS) (PARAM : sig ... end) : sig ... end