700 lines
26 KiB
C#
700 lines
26 KiB
C#
///////////////////////////////////////////////////////////////////////////////
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//
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// Microsoft Research Singularity
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//
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// Copyright (c) Microsoft Corporation. All rights reserved.
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//
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///////////////////////////////////////////////////////////////////////////////
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using System;
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using System.Collections;
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using System.Text;
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using System.IO;
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using SharpSAT;
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//using Microsoft.Zap;
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namespace SharpSATTest
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{
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public class SATSolverTests : SATCommon
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{
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/* a helper function */
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static private string getToken(string [] tokens, ref int index)
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{
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for (; index < tokens.Length; )
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{
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++index;
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if (tokens[index - 1] != String.Empty)
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return tokens[index -1];
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}
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return null;
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}
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/* this demonstrate the structure interface */
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static void test_structure_solver (string[] args)
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{
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SATSolver solver = new SATSolver();
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int a = solver.CreatePI();
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int b = solver.CreatePI();
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int c = solver.CreatePI();
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//int d = solver.CreatePI();
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int xor_a_b = solver.Xor(a, b);
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int not_a = solver.Not(a);
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int not_b = solver.Not(b);
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int and_a_not_b = solver.And (a, not_b);
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int and_b_not_a = solver.And (b, not_a);
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int xor_a_b_p = solver.Or(and_a_not_b, and_b_not_a);
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int miter = solver.Xor(xor_a_b, xor_a_b_p);
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SATStatus r = solver.TestSAT(miter);
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System.Console.WriteLine ("Test Right {0}", r.ToString());
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int and_a_b = solver.And (a, b);
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int xor_a_b_wrong = solver.Or (and_a_not_b, and_a_b);
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int miter1 = solver.Xor(xor_a_b, xor_a_b_wrong);
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r = solver.TestSAT(miter1);
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System.Console.WriteLine ("Test Wrong {0}", r.ToString());
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int and_a_b_c = solver.And (solver.And(a,b), c);
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int flag = solver.AllocFlag ();
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solver.MarkTransitiveFanins(and_a_b_c, flag);
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for (int i=0, sz=solver.NumPI(); i< sz; ++i)
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{
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int node_id = solver.NthPI(i);
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bool flagset = solver.IsNodeFlagSet (node_id, flag);
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if (flagset)
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System.Console.WriteLine ("PI {0} is in the transitive fanin", i);
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else
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System.Console.WriteLine ("PI {0} is NOT in the transitive fanin", i);
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}
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solver.ClearFlag(flag);
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MyHashtable nameMap = new MyHashtable();
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nameMap.Add(0, "PrimaryIn 0");
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System.Console.WriteLine(solver.TreeToString(miter1, nameMap));
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System.Console.WriteLine(solver.TreeToString(xor_a_b, nameMap));
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System.Console.WriteLine ("Press Return...");
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System.Console.ReadLine();
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}
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/* this demonstrate the clause interface, it reads in a CNF file and
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* Solve it, just as a regular SAT solver should do */
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static void test_clause_solver (string[] args)
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{
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SATSolver solver = new SATSolver();
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// NB: on Singularity, args[0] is the exe image name
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if (args.Length != 2)
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{
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System.Console.WriteLine ("Simple SAT Solver using the C# interface");
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System.Console.WriteLine ("Usage: Solve CNF_file ");
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return;
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}
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StreamReader input = null;
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try
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{
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input = new StreamReader(args[1]);
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}
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catch(Exception e)
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{
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Console.WriteLine (e.ToString());
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}
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string line;
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System.Console.WriteLine ("Solving {0}", args[1]);
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while (true)
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{
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line = input.ReadLine();
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if (line == null)
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break;
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string [] tokens = line.Split(new char[] {' ','\t'});
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int index = 0;
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string token = getToken (tokens, ref index);
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if (token == "c")
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continue;
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if (token == "p")
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{
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token = getToken (tokens, ref index);
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if (token != "cnf")
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{
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System.Console.WriteLine("Unrecognized Header");
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return;
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}
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else
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{
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token = getToken (tokens, ref index);
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solver.SetNumVariables (int.Parse(token));
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continue;
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}
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}
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else
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{
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ArrayList lits = new ArrayList();
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while (token != null && int.Parse(token) != 0)
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{
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lits.Add (int.Parse(token));
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token = getToken (tokens, ref index);
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}
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if (lits.Count> 0)
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{
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int [] clause = new int [lits.Count];
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for (int k=0; k< lits.Count; ++k)
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{
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clause[k] = (int)lits[k];
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if (clause[k] > 0)
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clause[k] += clause[k];
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else
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clause[k] = 1 - clause[k] - clause[k];
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}
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solver.AddClause ( clause );
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}
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}
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}
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input.Close();
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SATStatus result = solver.Solve();
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if (result == SATStatus.SATISFIABLE)
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{
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System.Console.WriteLine ("SAT");
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for (int i=1; i<= solver.GetNumVariables(); ++i)
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{
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if (solver.VariableValue(i)==1)
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{
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Console.Write ("{0} ", i);
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}
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else if (solver.VariableValue(i)==0)
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{
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Console.Write ("-{0} ", i);
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}
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else
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{
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Console.Write ("({0}) ", i);
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}
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if (i % 10 == 0)
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{
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Console.WriteLine ("");
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}
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}
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}
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else if (result == SATStatus.UNSATISFIABLE)
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System.Console.WriteLine ("UNSAT");
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System.Console.WriteLine ("Num Variables {0}", solver.num_variables() );
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System.Console.WriteLine ("Num Orig. Clauses {0}", solver.stats.num_orig_clauses );
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System.Console.WriteLine ("Num Learned Clauses {0}", solver.stats.num_learned_clauses);
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System.Console.WriteLine ("Num Learned Literals {0}", solver.stats.num_learned_literals);
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System.Console.WriteLine ("Num Garbage Collection {0}", solver.stats.num_garbage_collections);
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System.Console.WriteLine ("Num Deleted Clauses {0}", solver.stats.num_deleted_clauses );
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System.Console.WriteLine ("Num Deleted Literals {0}", solver.stats.num_deleted_literals );
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System.Console.WriteLine ("Num Decisions {0}", solver.stats.num_decisions );
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System.Console.WriteLine ("Num Backtracks {0}", solver.stats.num_backtracks );
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System.Console.WriteLine ("Num Implications {0}", solver.stats.num_implications );
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System.Console.WriteLine ("Total Runtime {0}", solver.stats.total_cpu_time );
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System.Console.WriteLine ("Instance is {0}", SATCommon.StatusToString(result));
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}
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public static void log_execution(string [] args)
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{
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SATSolver solver = new SATSolver();
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if (args.Length != 1)
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{
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System.Console.WriteLine ("Simple SAT Solver using the C# interface");
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System.Console.WriteLine ("Usage: Solve CNF_file ");
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return;
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}
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FileInfo file = new FileInfo (args[0]);
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StreamReader input = file.OpenText();
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string line;
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IntVector nodes = new IntVector(4);
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while (true)
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{
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line = input.ReadLine();
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if (line == null)
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break;
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string [] tokens = line.Split(new char[] {' ','\t'});
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int index = 0;
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string token = getToken (tokens, ref index);
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int k = int.Parse (token);
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token = getToken (tokens, ref index);
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sharp_assert (token == "=");
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token = getToken (tokens, ref index);
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if (token == "INIT_VARS")
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{
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solver.SetNumVariables(k);
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solver.ConvertVarsToPI();
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nodes.resize ( k + k + 2);
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for (int i=0; i < k + k + 2; ++i)
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nodes[i] = i;
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}
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else if (token == "CONSTRAINT")
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{
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solver.Constraint(nodes[k]);
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SATStatus status = solver.Solve();
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if (status == SATStatus.UNSATISFIABLE)
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Console.WriteLine("UNSAT");
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else
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Console.WriteLine("SAT");
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}
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else if (token == "PI")
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{
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continue;
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}
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else if (token == "CL")
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{
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IntVector lits = new IntVector(4);
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token = getToken(tokens, ref index);
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while ( token != null )
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{
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lits.push_back (int.Parse(token));
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token = getToken(tokens, ref index);
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}
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solver.AddClause(lits.ToArray());
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}
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else if (token == "AND")
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{
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token = getToken (tokens, ref index);
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int i1 = int.Parse (token);
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token = getToken (tokens, ref index);
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int i2 = int.Parse (token);
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int r = solver.And (nodes[i1], nodes[i2]);
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if (nodes.size() < k + 2)
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nodes.resize (k + 2);
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nodes[k] = r;
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nodes [k ^ 1] = (r^1);
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}
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else if (token == "XOR")
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{
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token = getToken (tokens, ref index);
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int i1 = int.Parse (token);
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token = getToken (tokens, ref index);
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int i2 = int.Parse (token);
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int r = solver.Xor (nodes[i1], nodes[i2]);
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if (nodes.size() < k + 1)
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nodes.resize (k + 1);
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nodes[k] = r;
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nodes [k ^ 1] = (r^1);
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}
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else
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fatal ("Unrecognized Symbol");
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}
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}
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static Random rand;
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static int [] randclause (int begin, int end)
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{
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IntVector cls = new IntVector(4);
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while (cls.empty())
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{
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double r = rand.NextDouble();
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int a = (int) (r * (end - begin)) + begin;
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r = rand.NextDouble();
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if (r < 0.5)
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a = a + a;
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else
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a = a + a + 1;
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r = rand.NextDouble();
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int b = (int) (r * (end - begin)) + begin;
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r = rand.NextDouble();
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if (r < 0.5)
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b = b + b;
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else
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b = b + b + 1;
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r = rand.NextDouble();
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int c = (int) (r * (end - begin)) + begin;
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r = rand.NextDouble();
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if (r < 0.5)
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c = c + c;
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else
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c = c + c + 1;
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if ((a>>1) != (b>>1))
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{
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cls.push_back (a);
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cls.push_back (b);
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if ((a>>1) != (c>>1) && (b>>1) != (c>>1))
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cls.push_back (c);
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}
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else
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{
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cls.push_back (b);
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if ((b>>1) != (c>>1))
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cls.push_back (c);
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}
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}
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return cls.ToArray();
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}
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static bool test_interpolant_clauses (int n_vars, int n_cls, int span, int randseed)
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{
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rand = new Random(randseed);
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int [] [] a_clauses;
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int [] [] b_clauses;
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a_clauses = new int [n_cls][];
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b_clauses = new int [n_cls][];
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for (int i=0; i< n_cls; ++i)
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a_clauses[i] = randclause ( 1, n_vars/2 + span);
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for (int i=0; i< n_cls; ++i)
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b_clauses[i] = randclause ( n_vars/2 - span, n_vars + 1);
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SATSolver solver = new SATSolver();
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solver.SetNumVariables(n_vars);
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int a_gid = solver.AllocGID();
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int b_gid = solver.AllocGID();
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//1. Test if A is satisfiable
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for (int i=0; i< n_cls; ++i)
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solver.AddClause (a_clauses[i], a_gid);
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if (solver.Solve() != SATStatus.SATISFIABLE)
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{
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Console.Write ("A SAT");
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return false;
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}
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solver.DeleteGroup(a_gid);
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//1. Test if B is satisfiable
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for (int i=0; i< n_cls; ++i)
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solver.AddClause (b_clauses[i], b_gid);
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if (solver.Solve() != SATStatus.SATISFIABLE)
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{
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Console.Write ("B SAT");
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return false;
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}
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//3. Generate Interpolant
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a_gid = solver.AllocGID();
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for (int i=0; i< n_cls; ++i)
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solver.AddClause (a_clauses[i], a_gid);
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Console.Write("Interpolant ");
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int interpolant = solver.GenInterpolantFromClauseGroups ( a_gid, b_gid);
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if (interpolant == -1 )
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{
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Console.Write("AB SAT" );
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return false;
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}
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solver.Reference(interpolant);
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//now test IB Unsatisfiable
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Console.Write("IB ");
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solver.DeleteGroup (a_gid);
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sharp_assert (solver.stats.num_orig_clauses == n_cls);
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int c = solver.Constraint(interpolant);
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SATStatus status = solver.Solve();
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if (status != SATStatus.UNSATISFIABLE)
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sharp_assert (false);
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//4. test AI Satisfiable
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Console.Write("AI ");
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solver.DeleteGroup (b_gid);
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a_gid = solver.AllocGID();
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for (int i=0; i< n_cls; ++i)
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solver.AddClause (a_clauses[i], a_gid);
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status = solver.Solve();
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if (status != SATStatus.SATISFIABLE)
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assert(false);
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//5. test AI' Unsat (i.e. A=>I)
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Console.Write("AI' ");
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solver.ReleaseConstraint (c);
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c = solver.Constraint(solver.Not(interpolant));
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status = solver.Solve();
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if (status != SATStatus.UNSATISFIABLE)
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sharp_assert (false);
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solver.ReleaseConstraint (c);
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return true;
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}
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static int build_struct (SATSolver solver, int [][] clauses)
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{
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int sig = solver.one();
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for (int i=0; i< clauses.Length; ++i)
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{
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int s = solver.zero();
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foreach (int lit in clauses[i])
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s = solver.Or(s, lit);
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sig = solver.And(sig, s);
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}
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return sig;
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}
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static bool test_interpolant_structure (int n_vars, int n_cls, int span, int randseed)
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{
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rand = new Random(randseed);
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int [] [] a_clauses;
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int [] [] b_clauses;
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a_clauses = new int [n_cls][];
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b_clauses = new int [n_cls][];
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for (int i=0; i< n_cls; ++i)
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a_clauses[i] = randclause ( 1, n_vars/2 + span);
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for (int i=0; i< n_cls; ++i)
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b_clauses[i] = randclause ( n_vars/2 - span, n_vars + 1);
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SATSolver solver = new SATSolver();
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solver.SetNumVariables(n_vars);
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solver.ConvertVarsToPI();
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int s_a = build_struct(solver, a_clauses);
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int s_b = build_struct(solver, b_clauses);
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solver.Reference(s_a);
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solver.Reference(s_b);
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//1. Test if A is satisfiable
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int c_a = solver.Constraint(s_a);
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if (solver.Solve() != SATStatus.SATISFIABLE)
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{
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Console.Write ("A SAT");
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return false;
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}
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solver.ReleaseConstraint(c_a);
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//2. Test if B is satisfiable
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int c_b = solver.Constraint(s_b);
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if (solver.Solve() != SATStatus.SATISFIABLE)
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{
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Console.Write ("B SAT");
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return false;
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}
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solver.ReleaseConstraint(c_b);
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//now get interpolant I
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Console.Write("Interpolant ");
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int interpolant = solver.GenInterpolantFromSignals ( s_a, s_b);
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if (interpolant == -1)
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{
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Console.Write ("AB SAT");
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return false;
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}
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solver.Reference (interpolant);
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//3. test IB Unsatisfiable
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Console.Write("IB ");
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c_b = solver.Constraint(s_b);
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int c_i = solver.Constraint(interpolant);
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SATStatus status = solver.Solve();
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if (status != SATStatus.UNSATISFIABLE)
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sharp_assert (false);
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solver.ReleaseConstraint (c_b);
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//4. test AI Satisfiable
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Console.Write("AI ");
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c_a = solver.Constraint (s_a);
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status = solver.Solve();
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if (status != SATStatus.SATISFIABLE)
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assert(false);
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//5. test AI' Unsat (i.e. A=>I)
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Console.Write("AI' ");
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solver.ReleaseConstraint (c_i);
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solver.Constraint(solver.Not(interpolant));
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status = solver.Solve();
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if (status != SATStatus.UNSATISFIABLE)
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sharp_assert (false);
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return true;
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}
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static int build_irregular_struct (SATSolver solver, int [][] clauses,int randseed)
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{
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Random rand = new Random(randseed);
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int sig = solver.one();
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for (int i=0; i< clauses.Length; ++i)
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{
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int s = solver.zero();
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foreach (int lit in clauses[i])
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{
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if (rand.NextDouble() > 0.2)
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s = solver.Or(s, lit);
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else
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s = solver.Xor(s, lit);
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}
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if (rand.NextDouble() > 0.15)
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sig = solver.And(sig, s);
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else
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sig = solver.Xor(sig, s);
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}
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return sig;
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}
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static bool test_existential_quantification ( int n_cls, int n_vars, int n_qvar, int rseed)
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{
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rand = new Random(rseed);
|
|
int [] [] clauses = new int [n_cls][];
|
|
for (int i=0; i< n_cls; ++i)
|
|
clauses[i] = randclause ( 1, n_vars + 1);
|
|
int [] qvars = new int [n_qvar];
|
|
for (int i=1; i<= n_qvar; ++i)
|
|
qvars[i-1] = i + i;
|
|
|
|
SATSolver solver = new SATSolver();
|
|
solver.SetNumVariables(n_vars);
|
|
solver.ConvertVarsToPI();
|
|
int s = build_irregular_struct(solver, clauses, 1);
|
|
int q1 = solver.expand_exist_quantify(s, qvars);
|
|
//int q2 = solver.enum_exist_quantify(s, qvars);
|
|
int q2 = solver.enum_exist_quantify_smart(s, qvars);
|
|
|
|
SATStatus status = solver.solve();
|
|
sharp_assert (status == SATStatus.SATISFIABLE);
|
|
int notequ = solver.Xor(q1, q2);
|
|
solver.Constraint(notequ);
|
|
status = solver.Solve();
|
|
sharp_assert (status == SATStatus.UNSATISFIABLE);
|
|
return true;
|
|
}
|
|
|
|
public static bool UnitTest()
|
|
{
|
|
SATSolver solver = new SATSolver();
|
|
|
|
int ab = solver.NthPI(0);
|
|
int bc = solver.NthPI(1);
|
|
int ac = solver.NthPI(2);
|
|
|
|
int not_ab = solver.Not(ab);
|
|
int not_bc = solver.Not(bc);
|
|
solver.Not(ac);
|
|
|
|
int fafb = solver.NthPI(3);
|
|
int not_fafb = solver.Not(fafb);
|
|
|
|
int fbfc = solver.NthPI(4);
|
|
int not_fbfc = solver.Not(fbfc);
|
|
|
|
// ((a=b && b != c) || (a!=b && b=c) || (a!=b && a=c)) && f(a)!=f(b) && f(b)!=f(c)
|
|
int d1 = solver.And(ab, not_bc);
|
|
int d2 = solver.And(bc, not_ab);
|
|
int d3 = solver.And(ac, not_ab);
|
|
|
|
int c1 = solver.Or(d1,d2);
|
|
int c2 = solver.Or(c1,d3);
|
|
|
|
int c3 = solver.And(c2,not_fafb);
|
|
int c4 = solver.And(c3, not_fbfc);
|
|
|
|
int formula = c4;
|
|
int[] ret = solver.FindSatAssignment(formula);
|
|
if(ret == null) return false;
|
|
|
|
int[] clause = new int[2];
|
|
clause[0] = solver.Not(ab);
|
|
clause[1] = fafb;
|
|
solver.AddClause(clause);
|
|
ret = solver.FindSatAssignment(formula);
|
|
if(ret == null) return false;
|
|
return true;
|
|
}
|
|
|
|
public static void print_model(int [] m)
|
|
{
|
|
Console.WriteLine ("Model Is " );
|
|
foreach (int e in m)
|
|
{
|
|
if ( (e&1) == 1)
|
|
Console.Write ("-");
|
|
Console.Write( (e/2) + " ");
|
|
}
|
|
Console.WriteLine("");
|
|
}
|
|
|
|
public static bool test_small_model()
|
|
{
|
|
SATSolver solver = new SATSolver();
|
|
|
|
int a = solver.NthPI(0);
|
|
int b = solver.NthPI(1);
|
|
int c = solver.NthPI(2);
|
|
int d = solver.NthPI(3);
|
|
|
|
int ab = solver.And(a, b);
|
|
int cd = solver.And(c, d);
|
|
int abcd = solver.And(ab, cd);
|
|
int constraint = solver.Constraint(abcd);
|
|
solver.Solve();
|
|
int [] model = solver.FindSmallModel();
|
|
print_model (model);
|
|
solver.ReleaseConstraint(constraint);
|
|
|
|
int not_abcd = solver.Not(abcd);
|
|
constraint = solver.Constraint(not_abcd);
|
|
solver.Solve();
|
|
model = solver.FindSmallModel();
|
|
print_model (model);
|
|
solver.ReleaseConstraint(constraint);
|
|
|
|
int e = solver.CreatePI();
|
|
int f = solver.CreatePI();
|
|
int exf = solver.Xor (e, f);
|
|
int and_exf_abcd = solver.And(exf, abcd);
|
|
constraint = solver.Constraint(and_exf_abcd);
|
|
solver.Solve();
|
|
model = solver.FindSmallModel();
|
|
print_model (model);
|
|
solver.ReleaseConstraint(constraint);
|
|
|
|
int not_and_exf_abcd = solver.Not(and_exf_abcd);
|
|
constraint = solver.Constraint(not_and_exf_abcd);
|
|
solver.Solve();
|
|
model = solver.FindSmallModel();
|
|
print_model (model);
|
|
solver.ReleaseConstraint(constraint);
|
|
return true;
|
|
}
|
|
|
|
public static void test_quantification_edge_case ()
|
|
{
|
|
int n_cls = 100;
|
|
int n_vars = 50;
|
|
int n_qvar = 10;
|
|
rand = new Random(10);
|
|
int [] [] clauses = new int [n_cls][];
|
|
for (int i=0; i< n_cls; ++i)
|
|
clauses[i] = randclause ( 1, n_vars + 1);
|
|
int [] qvars = new int [n_qvar];
|
|
for (int i=1; i<= n_qvar; ++i)
|
|
qvars[i-1] = i + i;
|
|
|
|
SATSolver solver = new SATSolver();
|
|
solver.SetNumVariables(n_vars);
|
|
solver.ConvertVarsToPI();
|
|
build_irregular_struct(solver, clauses, 1);
|
|
|
|
int t = solver.GetOne();
|
|
int f = solver.GetZero();
|
|
int s1 = solver.And (t, 10);
|
|
int s2 = solver.And (f, 10);
|
|
int [] bounded = new int[2];
|
|
bounded[0] = 2;
|
|
bounded[1] = 3;
|
|
int result = solver.EnumExistQuantify (s1, bounded);
|
|
result = solver.EnumExistQuantify (s2, bounded);
|
|
Console.WriteLine(result);
|
|
}
|
|
|
|
public static void Main(string [] args)
|
|
{
|
|
// bool r = UnitTest();
|
|
// sharp_assert (r == true);
|
|
//
|
|
// NetList net = new NetList();
|
|
// net.read_blif(args[0]);
|
|
// net.write_blif(args[0] + ".out");
|
|
|
|
// test_clause_solver(args);
|
|
// return;
|
|
// Console.WriteLine("Test Clause and Structure Based Interpolant Generation");
|
|
// for (int i=0; i< 100; ++i)
|
|
// {
|
|
// Console.Write ("Test {0}\tCLAUSE: ", i);
|
|
// r = test_interpolant_clauses (100, 200, 45, i) ;
|
|
// if (r == false)
|
|
// Console.Write ("*");
|
|
// Console.Write("\t STURCT:");
|
|
// r = test_interpolant_structure (100, 200, 45, i) ;
|
|
// if (r == false)
|
|
// Console.Write ("*");
|
|
// Console.WriteLine("");
|
|
// }
|
|
// for (int i=0 ; i < 100; ++i)
|
|
// {
|
|
// Console.WriteLine ("Test {0} ", i);
|
|
// test_existential_quantification(50, 30, 20, i);
|
|
// }
|
|
// test_small_model();
|
|
// test_quantification_edge_case();
|
|
test_clause_solver (args);
|
|
}
|
|
}
|
|
}
|