Functional heaps (implemented as pairing heaps).
type 'a tt_of_sexp is not supported, because of the difficulty involved in recreating the
comparison function.
include sig ... endval sexp_of_t : ('a ‑> Base.Sexp.t) ‑> 'a t ‑> Base.Sexp.tEven though min_elt, max_elt, and to_list are in Container.S1, they are
documented separately to make sure there is no confusion.
include Core_kernel.Container.S1 with type a t := a tval mem : 'a t ‑> 'a ‑> equal:('a ‑> 'a ‑> bool) ‑> boolChecks whether the provided element is there, using equal.
val length : 'a t ‑> intval is_empty : 'a t ‑> boolval iter : 'a t ‑> f:('a ‑> unit) ‑> unitval fold : 'a t ‑> init:'accum ‑> f:('accum ‑> 'a ‑> 'accum) ‑> 'accumfold 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.tfold_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, 'final) Base__.Container_intf.Continue_or_stop.t) ‑> finish:('accum ‑> 'final) ‑> 'finalfold_until t ~init ~f ~finish 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. If f never returns Stop _, the final result
is computed by finish.
val exists : 'a t ‑> f:('a ‑> bool) ‑> boolReturns 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) ‑> boolReturns 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) ‑> intReturns 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) ‑> 'sumReturns the sum of f i for all i in the container.
val find : 'a t ‑> f:('a ‑> bool) ‑> 'a optionReturns as an option the first element for which f evaluates to true.
val find_map : 'a t ‑> f:('a ‑> 'b option) ‑> 'b optionReturns the first evaluation of f that returns Some, and returns None if there
is no such element.
val to_list : 'a t ‑> 'a listval to_array : 'a t ‑> 'a arrayval min_elt : 'a t ‑> compare:('a ‑> 'a ‑> int) ‑> 'a optionReturns a minimum (resp maximum) element from the collection using the provided
compare 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 ‑> compare:('a ‑> 'a ‑> int) ‑> 'a optionval min_elt : 'a t ‑> compare:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a Core_kernel__.Import.optionThe 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 ‑> compare:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a Core_kernel__.Import.optionval to_list : 'a t ‑> 'a Core_kernel__.Import.listThe 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 tcreate ~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 tval of_list : 'a Core_kernel__.Import.list ‑> cmp:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a tval top : 'a t ‑> 'a Core_kernel__.Import.optionThis returns the top (i.e., smallest) element of the heap. Complexity O(1).
val top_exn : 'a t ‑> 'aval remove_top : 'a t ‑> 'a t Core_kernel__.Import.optionremove_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.optionThis 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.optionpop_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.tto_sequence t is a sequence of the elements of t in ascending order.