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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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305
Microsoft.Z3/Fixedpoint.cs
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305
Microsoft.Z3/Fixedpoint.cs
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/*++
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Copyright (c) 2012 Microsoft Corporation
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Module Name:
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Fixedpoints.cs
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Abstract:
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Z3 Managed API: Fixedpoints
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Author:
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Christoph Wintersteiger (cwinter) 2012-03-21
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Notes:
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--*/
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using System;
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using System.Diagnostics.Contracts;
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namespace Microsoft.Z3
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{
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/// <summary>
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/// Object for managing fixedpoints
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/// </summary>
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[ContractVerification(true)]
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public class Fixedpoint : Z3Object
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{
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/// <summary>
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/// A string that describes all available fixedpoint solver parameters.
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/// </summary>
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public string Help
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{
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get {
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Contract.Ensures(Contract.Result<string>() != null);
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return Native.Z3_fixedpoint_get_help(Context.nCtx, NativeObject);
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}
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}
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/// <summary>
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/// Sets the fixedpoint solver parameters.
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/// </summary>
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public Params Parameters
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{
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set
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{
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Contract.Requires(value != null);
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Context.CheckContextMatch(value);
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Native.Z3_fixedpoint_set_params(Context.nCtx, NativeObject, value.NativeObject);
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}
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}
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/// <summary>
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/// Retrieves parameter descriptions for Fixedpoint solver.
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/// </summary>
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public ParamDescrs ParameterDescriptions
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{
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get
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{
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return new ParamDescrs(Context, Native.Z3_fixedpoint_get_param_descrs(Context.nCtx, NativeObject));
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}
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}
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/// <summary>
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/// Assert a constraint (or multiple) into the fixedpoint solver.
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/// </summary>
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public void Assert(params BoolExpr[] constraints)
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{
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Contract.Requires(constraints != null);
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Contract.Requires(Contract.ForAll(constraints, c => c != null));
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Context.CheckContextMatch(constraints);
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foreach (BoolExpr a in constraints)
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{
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Native.Z3_fixedpoint_assert(Context.nCtx, NativeObject, a.NativeObject);
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}
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}
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/// <summary>
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/// Register predicate as recursive relation.
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/// </summary>
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public void RegisterRelation(FuncDecl f)
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{
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Contract.Requires(f != null);
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Context.CheckContextMatch(f);
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Native.Z3_fixedpoint_register_relation(Context.nCtx, NativeObject, f.NativeObject);
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}
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/// <summary>
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/// Add rule into the fixedpoint solver.
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/// </summary>
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public void AddRule(BoolExpr rule, Symbol name = null)
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{
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Contract.Requires(rule != null);
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Context.CheckContextMatch(rule);
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Native.Z3_fixedpoint_add_rule(Context.nCtx, NativeObject, rule.NativeObject, AST.GetNativeObject(name));
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}
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/// <summary>
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/// Add table fact to the fixedpoint solver.
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/// </summary>
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public void AddFact(FuncDecl pred, params uint[] args)
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{
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Contract.Requires(pred != null);
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Contract.Requires(args != null);
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Context.CheckContextMatch(pred);
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Native.Z3_fixedpoint_add_fact(Context.nCtx, NativeObject, pred.NativeObject, (uint)args.Length, args);
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}
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/// <summary>
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/// Query the fixedpoint solver.
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/// A query is a conjunction of constraints. The constraints may include the recursively defined relations.
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/// The query is satisfiable if there is an instance of the query variables and a derivation for it.
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/// The query is unsatisfiable if there are no derivations satisfying the query variables.
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/// </summary>
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public Status Query(BoolExpr query)
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{
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Contract.Requires(query != null);
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Context.CheckContextMatch(query);
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Z3_lbool r = (Z3_lbool)Native.Z3_fixedpoint_query(Context.nCtx, NativeObject, query.NativeObject);
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switch (r)
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{
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case Z3_lbool.Z3_L_TRUE: return Status.SATISFIABLE;
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case Z3_lbool.Z3_L_FALSE: return Status.UNSATISFIABLE;
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default: return Status.UNKNOWN;
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}
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}
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/// <summary>
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/// Query the fixedpoint solver.
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/// A query is an array of relations.
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/// The query is satisfiable if there is an instance of some relation that is non-empty.
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/// The query is unsatisfiable if there are no derivations satisfying any of the relations.
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/// </summary>
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public Status Query(FuncDecl[] relations)
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{
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Contract.Requires(relations != null);
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Contract.Requires(Contract.ForAll(0, relations.Length, i => relations[i] != null));
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Context.CheckContextMatch(relations);
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Z3_lbool r = (Z3_lbool)Native.Z3_fixedpoint_query_relations(Context.nCtx, NativeObject,
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AST.ArrayLength(relations), AST.ArrayToNative(relations));
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switch (r)
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{
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case Z3_lbool.Z3_L_TRUE: return Status.SATISFIABLE;
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case Z3_lbool.Z3_L_FALSE: return Status.UNSATISFIABLE;
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default: return Status.UNKNOWN;
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}
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}
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/// <summary>
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/// Creates a backtracking point.
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/// </summary>
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/// <seealso cref="Pop"/>
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public void Push()
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{
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Native.Z3_fixedpoint_push(Context.nCtx, NativeObject);
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}
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/// <summary>
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/// Backtrack one backtracking point.
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/// </summary>
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/// <remarks>Note that an exception is thrown if Pop is called without a corresponding <c>Push</c></remarks>
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/// <seealso cref="Push"/>
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public void Pop()
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{
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Native.Z3_fixedpoint_pop(Context.nCtx, NativeObject);
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}
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/// <summary>
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/// Update named rule into in the fixedpoint solver.
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/// </summary>
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public void UpdateRule(BoolExpr rule, Symbol name)
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{
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Contract.Requires(rule != null);
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Context.CheckContextMatch(rule);
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Native.Z3_fixedpoint_update_rule(Context.nCtx, NativeObject, rule.NativeObject, AST.GetNativeObject(name));
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}
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/// <summary>
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/// Retrieve satisfying instance or instances of solver,
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/// or definitions for the recursive predicates that show unsatisfiability.
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/// </summary>
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public Expr GetAnswer()
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{
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IntPtr ans = Native.Z3_fixedpoint_get_answer(Context.nCtx, NativeObject);
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return (ans == IntPtr.Zero) ? null : Expr.Create(Context, ans);
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}
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/// <summary>
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/// Retrieve explanation why fixedpoint engine returned status Unknown.
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/// </summary>
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public string GetReasonUnknown()
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{
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Contract.Ensures(Contract.Result<string>() != null);
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return Native.Z3_fixedpoint_get_reason_unknown(Context.nCtx, NativeObject);
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}
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/// <summary>
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/// Retrieve the number of levels explored for a given predicate.
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/// </summary>
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public uint GetNumLevels(FuncDecl predicate)
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{
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return Native.Z3_fixedpoint_get_num_levels(Context.nCtx, NativeObject, predicate.NativeObject);
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}
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/// <summary>
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/// Retrieve the cover of a predicate.
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/// </summary>
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public Expr GetCoverDelta(int level, FuncDecl predicate)
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{
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IntPtr res = Native.Z3_fixedpoint_get_cover_delta(Context.nCtx, NativeObject, level, predicate.NativeObject);
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return (res == IntPtr.Zero) ? null : Expr.Create(Context, res);
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}
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/// <summary>
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/// Add <tt>property</tt> about the <tt>predicate</tt>.
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/// The property is added at <tt>level</tt>.
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/// </summary>
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public void AddCover(int level, FuncDecl predicate, Expr property)
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{
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Native.Z3_fixedpoint_add_cover(Context.nCtx, NativeObject, level, predicate.NativeObject, property.NativeObject);
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}
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/// <summary>
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/// Retrieve internal string representation of fixedpoint object.
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/// </summary>
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public override string ToString()
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{
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return Native.Z3_fixedpoint_to_string(Context.nCtx, NativeObject, 0, null);
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}
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/// <summary>
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/// Instrument the Datalog engine on which table representation to use for recursive predicate.
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/// </summary>
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public void SetPredicateRepresentation(FuncDecl f, Symbol[] kinds)
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{
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Contract.Requires(f != null);
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Native.Z3_fixedpoint_set_predicate_representation(Context.nCtx, NativeObject,
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f.NativeObject, AST.ArrayLength(kinds), Symbol.ArrayToNative(kinds));
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}
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/// <summary>
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/// Convert benchmark given as set of axioms, rules and queries to a string.
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/// </summary>
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public string ToString(BoolExpr[] queries)
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{
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return Native.Z3_fixedpoint_to_string(Context.nCtx, NativeObject,
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AST.ArrayLength(queries), AST.ArrayToNative(queries));
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}
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#region Internal
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internal Fixedpoint(Context ctx, IntPtr obj)
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: base(ctx, obj)
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{
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Contract.Requires(ctx != null);
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}
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internal Fixedpoint(Context ctx)
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: base(ctx, Native.Z3_mk_fixedpoint(ctx.nCtx))
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{
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Contract.Requires(ctx != null);
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}
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internal class DecRefQueue : Z3.DecRefQueue
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{
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public override void IncRef(Context ctx, IntPtr obj)
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{
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Native.Z3_fixedpoint_inc_ref(ctx.nCtx, obj);
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}
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public override void DecRef(Context ctx, IntPtr obj)
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{
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Native.Z3_fixedpoint_dec_ref(ctx.nCtx, obj);
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}
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};
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internal override void IncRef(IntPtr o)
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{
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Context.Fixedpoint_DRQ.IncAndClear(Context, o);
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base.IncRef(o);
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}
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internal override void DecRef(IntPtr o)
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{
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Context.Fixedpoint_DRQ.Add(o);
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base.DecRef(o);
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}
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#endregion
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}
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}
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