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authorcorbinea2003-04-25 19:55:41 +0000
committercorbinea2003-04-25 19:55:41 +0000
commite12ff90edcc4af4eb0998f11186e998b23ada15d (patch)
tree8d9f1939569005ea89a2e69bab1557ec1f601886 /lib/heap.mli
parentb8f8a4fc5636d7751cf58c01044e8da56e92b074 (diff)
Added the Ground tactic.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3955 85f007b7-540e-0410-9357-904b9bb8a0f7
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+(***********************************************************************)
+(* v * The Coq Proof Assistant / The Coq Development Team *)
+(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
+(* \VV/ *************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(***********************************************************************)
+
+(* $Id$ *)
+
+(* Heaps *)
+
+module type Ordered = sig
+ type t
+ val compare : t -> t -> int
+end
+
+module type S =sig
+
+ (* Type of functional heaps *)
+ type t
+
+ (* Type of elements *)
+ type elt
+
+ (* The empty heap *)
+ val empty : t
+
+ (* [add x h] returns a new heap containing the elements of [h], plus [x];
+ complexity $O(log(n))$ *)
+ val add : elt -> t -> t
+
+ (* [maximum h] returns the maximum element of [h]; raises [EmptyHeap]
+ when [h] is empty; complexity $O(1)$ *)
+ val maximum : t -> elt
+
+ (* [remove h] returns a new heap containing the elements of [h], except
+ the maximum of [h]; raises [EmptyHeap] when [h] is empty;
+ complexity $O(log(n))$ *)
+ val remove : t -> t
+
+ (* usual iterators and combinators; elements are presented in
+ arbitrary order *)
+ val iter : (elt -> unit) -> t -> unit
+
+ val fold : (elt -> 'a -> 'a) -> t -> 'a -> 'a
+
+end
+
+exception EmptyHeap
+
+(*S Functional implementation. *)
+
+module Functional(X: Ordered) : S with type elt=X.t