BatVect.Make
module R : RANDOMACCESS
module PARAM : sig ... end
Maximum length of the vect. No function detect when one tries to add more elements than the container can hold. They create broken structures which may cause other functions of this module to raise exceptions when operating on them.
val empty : 'a t
The empty vect.
val singleton : 'a -> 'a t
Returns a vect of length 1 holding only the given element.
of_container s
returns a vect corresponding to the container s
. Operates in O(n)
time.
val of_array : 'a array -> 'a t
of_array s
returns a vect corresponding to the array s
. Operates in O(n)
time.
val to_array : 'a t -> 'a array
to_array r
returns an array corresponding to the vect r
.
val to_list : 'a t -> 'a list
Returns a list with the elements contained in the vect.
val of_list : 'a list -> 'a t
val make : int -> 'a -> 'a t
make 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 t
init 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 -> bool
Returns whether the vect is empty or not.
val height : 'a t -> int
Returns the height (depth) of the vect.
val length : 'a t -> int
Returns 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 explicitly.
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 -> 'a
get 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 -> 'a
as 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 -> unit
destructive_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 r m n
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
and n + 1
in the original vect. 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 -> unit
iter f r
applies f
to all the elements in the r
vect, in order.
val iteri : (int -> 'a -> unit) -> 'a t -> unit
Operates like iter, but also passes the index of the character to the given function.
val rangeiter : ('a -> unit) -> int -> int -> 'a t -> unit
rangeiter 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 -> 'b
fold_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 -> 'a
as 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 -> 'b
fold_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 -> 'b
As 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 -> bool
for_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 -> bool
exists 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 -> 'a
find p a
returns the first element of vect a
that satisfies the predicate p
.
val find_opt : ('a -> bool) -> 'a t -> 'a option
find_opt p a
returns Some x
, where x
is the first element of vect a
that satisfies the predicate p
, or None
if no such element exists.
val mem : 'a -> 'a t -> bool
mem m a
is true if and only if m
is equal to an element of a
.
val memq : 'a -> 'a t -> bool
Same as Vect
.mem but uses physical equality instead of structural equality to compare vect elements.
val findi : ('a -> bool) -> 'a t -> int
findi p a
returns the index of the first element of vect a
that satisfies the predicate p
.
filter f v
returns a vect with the elements x
from v
such that f x
returns true
. Operates in O(n)
time.
filter_map f e
returns a vect consisting of all elements x
such that f y
returns Some x
, where y
is an element of e
.
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 -> 'a
val last : 'a t -> 'a
These return the first and last values in the vector
val print : ?first:string -> ?last:string -> ?sep:string ->
('a BatInnerIO.output -> 'b -> unit) -> 'a BatInnerIO.output -> 'b t -> unit