Functional heaps (implemented as Pairing heaps)
type 'a t
t_of_sexp
is not supported, because of the difficulty involved in recreating the
comparison function.
include sig ... end
val sexp_of_t : ('a ‑> Sexplib.Sexp.t) ‑> 'a t ‑> Sexplib.Sexp.t
Even though min_elt
, max_elt
, and to_list
are in Container.S1
, they are
documented separately to make sure there is no confusion.
include Container.S1 with type a t := a t
val mem : 'a t ‑> 'a ‑> equal:('a ‑> 'a ‑> bool) ‑> bool
Checks whether the provided element is there, using equal
.
val length : 'a t ‑> int
val is_empty : 'a t ‑> bool
val iter : 'a t ‑> f:('a ‑> unit) ‑> unit
val fold : 'a t ‑> init:'accum ‑> f:('accum ‑> 'a ‑> 'accum) ‑> 'accum
fold t ~init ~f
returns f (... f (f (f init e1) e2) e3 ...) en
, where e1..en
are the elements of t
val fold_result : 'a t ‑> init:'accum ‑> f:('accum ‑> 'a ‑> ('accum, 'e) Base.Result.t) ‑> ('accum, 'e) Base.Result.t
fold_result t ~init ~f
is a short-circuiting version of fold
that runs in the
Result
monad. If f
returns an Error _
, that value is returned without any
additional invocations of f
.
val fold_until : 'a t ‑> init:'accum ‑> f:('accum ‑> 'a ‑> ('accum, 'stop) Base.Container_intf.Continue_or_stop.t) ‑> ('accum, 'stop) Base.Container_intf.Finished_or_stopped_early.t
fold_until t ~init ~f
is a short-circuiting version of fold
. If f
returns Stop _
the computation ceases and results in that value. If f
returns
Continue _
, the fold will proceed.
val exists : 'a t ‑> f:('a ‑> bool) ‑> bool
Returns true
if and only if there exists an element for which the provided
function evaluates to true
. This is a short-circuiting operation.
val for_all : 'a t ‑> f:('a ‑> bool) ‑> bool
Returns true
if and only if the provided function evaluates to true
for all
elements. This is a short-circuiting operation.
val count : 'a t ‑> f:('a ‑> bool) ‑> int
Returns the number of elements for which the provided function evaluates to true.
val sum : (module Base.Commutative_group.S with type t = 'sum) ‑> 'a t ‑> f:('a ‑> 'sum) ‑> 'sum
Returns the sum of f i
for all i
in the container.
val find : 'a t ‑> f:('a ‑> bool) ‑> 'a option
Returns as an option
the first element for which f
evaluates to true.
val find_map : 'a t ‑> f:('a ‑> 'b option) ‑> 'b option
Returns the first evaluation of f
that returns Some
, and returns None
if there
is no such element.
val to_list : 'a t ‑> 'a list
val to_array : 'a t ‑> 'a array
val min_elt : 'a t ‑> cmp:('a ‑> 'a ‑> int) ‑> 'a option
Returns a minimum (resp maximum) element from the collection using the provided
cmp
function, or None
if the collection is empty. In case of a tie, the first
element encountered while traversing the collection is returned. The implementation
uses fold
so it has the same complexity as fold
.
val max_elt : 'a t ‑> cmp:('a ‑> 'a ‑> int) ‑> 'a option
val min_elt : 'a t ‑> cmp:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a Core_kernel__.Import.option
The comparison functions in min_elt
and max_elt
are independent of the one
used to order the heap. Since the provided cmp
may be different from the one used to
create the heap, it is necessary for these functions to traverse the entire heap. If
you want to access the smallest element of the heap according to the heap's comparison
function, you should use top
.
val max_elt : 'a t ‑> cmp:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a Core_kernel__.Import.option
val to_list : 'a t ‑> 'a Core_kernel__.Import.list
The elements of to_list t
are not in any particular order. You need to sort the
list afterwards if you want to get a sorted list.
val create : cmp:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a t
create ~cmp
returns a new min-heap that uses ordering function cmp
.
The top of the heap is the smallest element as determined by the provided comparison function.
val of_array : 'a Core_kernel__.Import.array ‑> cmp:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a t
val of_list : 'a Core_kernel__.Import.list ‑> cmp:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a t
val top : 'a t ‑> 'a Core_kernel__.Import.option
This returns the top (i.e., smallest) element of the heap. Complexity O(1).
val top_exn : 'a t ‑> 'a
val remove_top : 'a t ‑> 'a t Core_kernel__.Import.option
remove_top t
returns the new heap after a remove. It does nothing if t
is empty.
The amortized time per remove_top t
(or pop t
, pop_exn t
, pop_if t
) is O(lg
n). The complexity of the worst case is O(n).
val pop : 'a t ‑> ('a * 'a t) Core_kernel__.Import.option
This removes and returns the top (i.e., least) element and the modified heap.
val pop_if : 'a t ‑> ('a ‑> Core_kernel__.Import.bool) ‑> ('a * 'a t) Core_kernel__.Import.option
pop_if t cond
returns Some (top_element, rest_of_heap)
if t
is not empty and its
top element satisfies condition cond
, or None
in any other case.
val to_sequence : 'a t ‑> 'a Base.Sequence.t
to_sequence t
is a sequence of the elements of t
in ascending order.