package core_kernel

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Module FheapSource

Functional heaps (implemented as pairing heaps).

Sourcetype 'a t

t_of_sexp is not supported, because of the difficulty involved in recreating the comparison function.

Sourceval sexp_of_t : ('a -> Sexplib0.Sexp.t) -> 'a t -> Sexplib0.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 Core.Container.S1 with type 'a t := 'a t
Sourceval mem : 'a t -> 'a -> equal:('a -> 'a -> bool) -> bool
Sourceval length : 'a t -> int
Sourceval is_empty : 'a t -> bool
Sourceval iter : 'a t -> f:('a -> unit) -> unit
Sourceval fold : 'a t -> init:'acc -> f:('acc -> 'a -> 'acc) -> 'acc
Sourceval fold_result : 'a t -> init:'acc -> f:('acc -> 'a -> ('acc, 'e) Base__.Result.t) -> ('acc, 'e) Base__.Result.t
Sourceval fold_until : 'a t -> init:'acc -> f:('acc -> 'a -> ('acc, 'final) Base__Container_intf.Continue_or_stop.t) -> finish:('acc -> 'final) -> 'final
Sourceval exists : 'a t -> f:('a -> bool) -> bool
Sourceval for_all : 'a t -> f:('a -> bool) -> bool
Sourceval count : 'a t -> f:('a -> bool) -> int
Sourceval sum : (module Base__Container_intf.Summable with type t = 'sum) -> 'a t -> f:('a -> 'sum) -> 'sum
Sourceval find : 'a t -> f:('a -> bool) -> 'a option
Sourceval find_map : 'a t -> f:('a -> 'b option) -> 'b option
Sourceval to_array : 'a t -> 'a array

Fheap may be used as the module argument to Sequence.merge_all.

include Core.Sequence.Heap with type 'a t := 'a t
Sourceval min_elt : 'a t -> compare:('a -> 'a -> int) -> 'a option

The comparison functions in min_elt and max_elt are independent of the one used to order the heap. Since the provided compare 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.

Sourceval max_elt : 'a t -> compare:('a -> 'a -> int) -> 'a option
Sourceval to_list : 'a t -> 'a 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.

Sourceval create : compare:('a -> 'a -> int) -> 'a t

create ~compare returns a new min-heap that uses ordering function compare.

The top of the heap is the smallest element as determined by the provided comparison function.

Sourceval of_array : 'a array -> compare:('a -> 'a -> int) -> 'a t
Sourceval of_list : 'a list -> compare:('a -> 'a -> int) -> 'a t
Sourceval add : 'a t -> 'a -> 'a t

add t v returns the new heap after addition. Complexity O(1).

Sourceval top : 'a t -> 'a option

This returns the top (i.e., smallest) element of the heap. Complexity O(1).

Sourceval top_exn : 'a t -> 'a
Sourceval remove_top : 'a t -> 'a t 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).

Sourceval pop : 'a t -> ('a * 'a t) option

This removes and returns the top (i.e., least) element and the modified heap.

Sourceval pop_min : 'a t -> ('a * 'a t) option

pop_min is a more descriptive name for pop.

Sourceval pop_exn : 'a t -> 'a * 'a t
Sourceval pop_min_exn : 'a t -> 'a * 'a t

pop_min_exn is a more descriptive name for pop_exn.

Sourceval pop_if : 'a t -> ('a -> bool) -> ('a * 'a t) 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.

Sourceval to_sequence : 'a t -> 'a Base.Sequence.t

to_sequence t is a sequence of the elements of t in ascending order.

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