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INTERFACE cf_heap.mli
Copyright (c) 2004-2006, James H. Woodyatt
All rights reserved.
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LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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*---------------------------------------------------------------------------*)
(** A module type for functional heap implementations. *)
(** {6 Module Type} *)
(**
This module defines the common interface to functional heaps in the {!Cf}
library.
*)
module type T = sig
(** The heap type *)
type t
(** A module defining the type of the element. Some heap implementations
may define more functions in this module for disambiguating elements
from one another.
*)
module Element: sig type t end
(** The empty heap. *)
val nil: t
(** Use [empty h] to test whether the heap [h] is empty. *)
val empty: t -> bool
(** Use [size h] to count the number of elements in the heap [h]. Runs
in O(n) time and O(log N) space.
*)
val size: t -> int
(** Use [head h] to obtain the element on the top of the heap [h]. Raises
[Not_found] if the heap is empty.
*)
val head: t -> Element.t
(** Use [tail h] to obtain the heap produced by discarding the element on
the top of heap [h]. If [h] is the empty heap, then the empty heap is
returned.
*)
val tail: t -> t
(** Use [pop h] to obtain the head and the tail of a heap [h] in one
operation. Returns [None] if the [h] is empty.
*)
val pop: t -> (Element.t * t) option
(** Use [put e h] to obtain a new heap that is the result of inserting
the element [e] into the heap [h].
*)
val put: Element.t -> t -> t
(** Use [merge h1 h2] to obtain a new heap that is the result of merging
all the elements of [h1] and [h2] into a single heap.
*)
val merge: t -> t -> t
(** Use [iterate f h] to apply [f] to every element in the heap [h] in an
arbitrary order (not top to bottom). Runs in O(n) time and O(1) space.
*)
val iterate: (Element.t -> unit) -> t -> unit
(** Use [predicate f h] to test whether all the elements in heap [h]
satisfy the predicate function [f]. Runs in O(n) time (with a short
cut when an element is found to fail the predicate) and O(1) space.
Visits the elements in the heap in arbitrary order (not top to bottom).
*)
val predicate: (Element.t -> bool) -> t -> bool
(** Use [fold f s h] to produce the result of folding a value [s] into
the elements of heap [h] with the folding function [f] in an arbitrary
order (not top to bottom). Runs in O(n) time and O(1) space.
*)
val fold: ('b -> Element.t -> 'b) -> 'b -> t -> 'b
(** Use [filter f h] to apply [f] to each element in the heap [h] in an
arbitrary order (not to top bottom), and produce a new heap that
contains only those elements for which [f pair] returned [true].
*)
val filter: (Element.t -> bool) -> t -> t
(** Use [partition f h] to obtain a pair of new heaps that are the result
of applying the partitioning function [f] to each element in the heap
[h] in an arbitrary order (not top to bottom). The first heap returned
will contain all the elements for which [f pair] returned true, and the
second heap will return all the remaining elements.
*)
val partition: (Element.t -> bool) -> t -> t * t
(** Use [of_seq z] to construct a heap from a sequence of elements.
Evaluates the whole sequence. Runs in O(n) time and O(1) space.
*)
val of_seq: Element.t Cf_seq.t -> t
(** Use [of_list s] to construct a heap from a list of elements. Runs in
O(n) time and O(1) space.
*)
val of_list: Element.t list -> t
(** Use [to_seq h] to produce a sequence of elements in top to bottom order
from the heap [h].
*)
val to_seq: t -> Element.t Cf_seq.t
(** Use [to_seq2 h] to produce a sequence of elements from the heap [h]
where the first element of each pair is a key-value pair obtained from
the head of the heap, and the second element of the pair is the
corresponding tail of the heap.
*)
val to_seq2: t -> (Element.t * t) Cf_seq.t
end
(*--- End of File [ cf_heap.mli ] ---*)
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