تنفيذ الحد الأدنى من الوظائف المنطقية بطريقة Quine \ McCluskey مع مجموعة إدخال غير مكتملة

using System; using System.Collections.Generic; using System.Linq; #region   /// <summary> ///      /// </summary> public abstract class LogicFunction { // ""  public const byte cStarSymb = 2; //    public readonly ICollection<byte[]> Terms = new LinkedList<byte[]>(); //   public abstract bool Calculate(bool[] X); //   public abstract bool Calculate(char[] X); //   public abstract bool Calculate(byte[] X); } /// <summary> ///    /// </summary> public class Dnf : LogicFunction { public static bool Calculate(byte[] X, byte[] term) { bool bResult = true; for (int i = 0; i < term.Length; i++) { if ((term[i] == cStarSymb) || (term[i] == X[i])) continue; bResult = false; break; } return bResult; } public override bool Calculate(byte[] X) { bool bResult = false; foreach (byte[] term in Terms) { bool bTermVal = true; for (int i = 0; i < term.Length; i++) { if ((term[i] >= cStarSymb) || (term[i] == X[i])) continue; bTermVal = false; break; } //bResult |= bTermVal; if (bTermVal) { bResult = true; break; } } return bResult; } public override bool Calculate(char[] X) { bool bResult = false; foreach (byte[] term in Terms) { bool bTermVal = true; for (int i = 0; i < term.Length; i++) { if ((term[i] >= cStarSymb) || (term[i] == (byte)(X[i] == '0' ? 0 : 1))) continue; bTermVal = false; break; } //bResult |= bTermVal; if (bTermVal) { bResult = true; break; } } return bResult; } public override bool Calculate(bool[] X) { bool bResult = false; foreach (byte[] term in Terms) { bool bTermVal = true; for (int i = 0; i < term.Length; i++) { if ((term[i] >= cStarSymb) || ((term[i] != 0) == X[i])) continue; bTermVal = false; break; } //bResult |= bTermVal; if (bTermVal) { bResult = true; break; } } return bResult; } } #endregion /// <summary> ///   /// </summary> public class TreeFuncTerm { /// <summary> ///     /// </summary> public class TreeNodeEnd { } //    private readonly TreeNodeEnd pCommonTreeNodeEnd = new TreeNodeEnd(); //  private readonly object[] rootNode = new object[3]; // ()  private int _rang = 0; public int Rang { get { return _rang; } } //    private int enumerationPos = 0; private object[][] enumerationBuf; //,     private byte[] enumerationTerm; public byte[] EnumerationTerm { get { return enumerationTerm; } } //     private UInt32 _count = 0; public UInt32 Count { get { return _count; } } // public TreeFuncTerm() { Clear(); } //  public void Clear() { _count = 0; _rang = 0; enumerationPos = 0; enumerationBuf = null; enumerationTerm = null; rootNode[0] = rootNode[1] = rootNode[2] = null; } //      public TreeNodeEnd EnumerationInit() { enumerationPos = 0; enumerationTerm = new byte[_rang]; enumerationTerm[0] = 0; enumerationBuf = new object[_rang][]; enumerationBuf[0] = rootNode; //    return EnumerationNextNode(); } //     public TreeNodeEnd EnumerationNextNode() { int iIsNext = (enumerationPos > 0 ? 1 : 0); TreeNodeEnd pRetTreeNode = null; while ((pRetTreeNode == null) && (enumerationPos >= 0)) { object[] pCurrNodes = enumerationBuf[enumerationPos]; object pNextNode = null; int i = enumerationTerm[enumerationPos] + iIsNext; for (; i < 3; i++) if ((pNextNode = pCurrNodes[i]) != null) break; if (pNextNode == null) { //    enumerationPos--; iIsNext = 1; } else { enumerationTerm[enumerationPos] = (byte)i; if (pNextNode is object[]) { //    enumerationPos++; enumerationBuf[enumerationPos] = (object[])pNextNode; enumerationTerm[enumerationPos] = 0; iIsNext = 0; } else //if (pNextNode is TreeNodeEnd) { //   pRetTreeNode = (TreeNodeEnd)pNextNode; } } } return pRetTreeNode; } //     public void AddTerm(byte[] term) { _rang = Math.Max(_rang, term.Length); object[] pCurrNode = rootNode; int iTermLength1 = term.Length - 1; for (int j = 0; j < iTermLength1; j++) { byte cSymb = term[j]; object item = pCurrNode[cSymb]; if (item == null) { item = new object[3]; pCurrNode[cSymb] = item; } pCurrNode = (object[])item; } if (pCurrNode[term[iTermLength1]] == null) { //    pCurrNode[term[iTermLength1]] = pCommonTreeNodeEnd; _count++; } } //      public TreeNodeEnd Remove(byte[] term) { int iTermLength1 = term.Length - 1; object[] pCurrNode = rootNode; for (int i = 0; i < iTermLength1; i++) { pCurrNode = (object[])pCurrNode[term[i]]; if (pCurrNode == null) break; } TreeNodeEnd pRemovedNode = null; if (pCurrNode != null) { //      pRemovedNode = (TreeNodeEnd)pCurrNode[term[iTermLength1]]; if (pRemovedNode != null) { //     pCurrNode[term[iTermLength1]] = null; // -  _count--; } } return pRemovedNode; } //     public bool Contains(byte[] term) { object pCurrNode = rootNode; foreach (byte cSymb in term) { pCurrNode = ((object[])pCurrNode)[cSymb]; if (pCurrNode == null) break; } return ((pCurrNode != null) && (pCurrNode is TreeNodeEnd)); } } /// <summary> ///     ---- /// </summary> public class Quine_McCluskey { //    private readonly Dnf _result = new Dnf(); public Dnf Result { get { return _result; } } //    private readonly Dnf _resultNeg = new Dnf(); public Dnf ResultNeg { get { return _resultNeg; } } //     private static void Skleivanie(TreeFuncTerm X1Tree, TreeFuncTerm X2Tree, TreeFuncTerm NegativTree, IEnumerable<byte[]> InpNegTerms, Dictionary<int, LinkedList<byte[]>> OutResult, int iLevel) { LinkedList<byte[]> OutR = new LinkedList<byte[]>(); if (OutResult != null) OutResult.Add(iLevel, OutR); bool IsVirtSkleivOn = ((NegativTree != null) && (InpNegTerms != null) && (InpNegTerms.Count() != 0)); for (TreeFuncTerm.TreeNodeEnd x1 = X1Tree.EnumerationInit(); x1 != null; x1 = X1Tree.EnumerationNextNode()) { bool bIsSkleiv = false; byte[] pCurrTerm = X1Tree.EnumerationTerm; for (int iPos = 0; iPos < pCurrTerm.Length; iPos++) { byte cSymbSav = pCurrTerm[iPos]; if (cSymbSav == LogicFunction.cStarSymb) continue; //      pCurrTerm[iPos] = (byte)(1 - cSymbSav); if (X1Tree.Contains(pCurrTerm)) { bIsSkleiv = true; //,         if (cSymbSav == 1) { pCurrTerm[iPos] = LogicFunction.cStarSymb; //  X2Tree.AddTerm(pCurrTerm); } } //    ,    NegativTree else if (IsVirtSkleivOn && !NegativTree.Contains(pCurrTerm)) { bool bIsNotCanAdd = false; pCurrTerm[iPos] = LogicFunction.cStarSymb; //  foreach (byte[] NegTerm in InpNegTerms) { if (bIsNotCanAdd = Dnf.Calculate(NegTerm, pCurrTerm)) break; } if (!bIsNotCanAdd) { bIsSkleiv = true; X2Tree.AddTerm(pCurrTerm); } } pCurrTerm[iPos] = cSymbSav; } //    ,       if (!bIsSkleiv) OutR.AddLast((byte[])pCurrTerm.Clone()); } } //     private static UInt64 GetTermCode(byte[] pTerm) { UInt64 iMultip = 1, iCode = 0; for (int i = 0; i < pTerm.Length; i++) { iCode += (iMultip * pTerm[i]); iMultip *= 3; } return iCode; } //     private static byte[] GetTermByCode(UInt64 iCode, int iTermLength, byte[] pTerm = null) { if (pTerm == null) pTerm = new byte[iTermLength]; int iCounter = 0; while (iCode != 0) { pTerm[iCounter++] = (byte)(iCode % 3); iCode /= 3; } while (iCounter < iTermLength) pTerm[iCounter++] = 0; return pTerm; } //     private static void Skleivanie(ICollection<UInt64> X1Tree, ICollection<UInt64> X2Tree, ICollection<UInt64> NegativTree, IEnumerable<byte[]> InpNegTerms, Dictionary<int, LinkedList<byte[]>> OutResult, int iLevel, int iTermLength) { LinkedList<byte[]> OutR = new LinkedList<byte[]>(); if (OutResult != null) OutResult.Add(iLevel, OutR); byte[] pCurrTerm = new byte[iTermLength]; bool IsVirtSkleivOn = ((NegativTree != null) && (InpNegTerms != null) && (InpNegTerms.Count() != 0)); foreach (UInt64 x1 in X1Tree) { GetTermByCode(x1, iTermLength, pCurrTerm); bool bIsSkleiv = false; UInt64 iMultip = 1; for (int iPos = 0; iPos < iTermLength; iPos++) { byte cSymbSav = pCurrTerm[iPos]; //(byte)((x1 / iMultip) % 3); if (cSymbSav != LogicFunction.cStarSymb) { UInt64 iCode = (cSymbSav == 0 ? x1 + iMultip : x1 - iMultip); //      if (X1Tree.Contains(iCode)) { bIsSkleiv = true; //,         if (cSymbSav == 1) { X2Tree.Add(x1 + iMultip); } } //    ,    NegativTree else if (IsVirtSkleivOn && !NegativTree.Contains(iCode)) { bool bIsNotCanAdd = false; pCurrTerm[iPos] = LogicFunction.cStarSymb; //  foreach (byte[] NegTerm in InpNegTerms) { if (bIsNotCanAdd = Dnf.Calculate(NegTerm, pCurrTerm)) break; } pCurrTerm[iPos] = cSymbSav; if (!bIsNotCanAdd) { bIsSkleiv = true; X2Tree.Add(x1 + (byte)(LogicFunction.cStarSymb - cSymbSav) * iMultip); } } } iMultip *= 3; } //    ,       if (!bIsSkleiv) OutR.AddLast((byte[])pCurrTerm.Clone()); } } //      //       private static void DeleteDublicatingTerms(IEnumerable<byte[]> InX1, ICollection<UInt64> OutX2Tree) { OutX2Tree.Clear(); foreach (byte[] x1 in InX1) { UInt64 iCode = GetTermCode(x1); if (OutX2Tree.Contains(iCode)) continue; OutX2Tree.Add(iCode); } } //      //       private static void DeleteDublicatingTerms(IEnumerable<byte[]> InX1, TreeFuncTerm OutX2Tree) { OutX2Tree.Clear(); foreach (byte[] x1 in InX1) OutX2Tree.AddTerm(x1); } //    private static bool IsEqualTerms(byte[] pTermC, byte[] pTermB) { if ((pTermC == null) || (pTermB == null) || (pTermC.Length != pTermB.Length)) return false; bool bIsEqual = false; int iLength = Math.Min(pTermC.Length, pTermB.Length); for ( int i = 0; i < iLength; i++) { if (!(bIsEqual = (pTermB[i] == pTermC[i]))) break; } return bIsEqual; } //            private static void ReduceRedundancyTerms(LinkedList<byte[]> InpTerms, Dictionary<int, LinkedList<byte[]>> SkleivTerms, ICollection<byte[]> ResultTerms) { if ((InpTerms == null) || (SkleivTerms == null) || (ResultTerms == null)) return; //   ResultTerms.Clear(); //        ,    Dictionary<byte[], HashSet<byte[]>> Outputs2Inputs = new Dictionary<byte[], HashSet<byte[]>>(); //        ,    Dictionary<byte[], HashSet<byte[]>> Inputs2Outputs = new Dictionary<byte[], HashSet<byte[]>>(); //    foreach (int iLevel in SkleivTerms.Keys.OrderByDescending(p => p).AsEnumerable()) { //       foreach (byte[] outTerm in SkleivTerms[iLevel]) { //  ,      term HashSet<byte[]> InpTermsLst = new HashSet<byte[]>(); //     foreach (byte[] inpTerm in InpTerms) { if (Dnf.Calculate(inpTerm, outTerm)) { InpTermsLst.Add(inpTerm); if (!Inputs2Outputs.ContainsKey(inpTerm)) Inputs2Outputs.Add(inpTerm, new HashSet<byte[]>()); Inputs2Outputs[inpTerm].Add(outTerm); } } Outputs2Inputs.Add(outTerm, InpTermsLst); } } //      -    Inputs2Outputs = Inputs2Outputs.OrderBy(p => p.Value.Count).ToDictionary(p => p.Key, v => v.Value); //   ,   -    while (Inputs2Outputs.Count > 0) { byte[] outTerm = Inputs2Outputs.First().Value.OrderByDescending(q => Outputs2Inputs[q].Count()).First(); ResultTerms.Add(outTerm); foreach (byte[] inpTerm in Outputs2Inputs[outTerm].ToArray()) { foreach (byte[] outTerm2Del in Inputs2Outputs[inpTerm]) Outputs2Inputs[outTerm2Del].Remove(inpTerm); Inputs2Outputs.Remove(inpTerm); } } } //    public static void LogicFuncMinimize(IEnumerable<byte[]> PositivTerms, ICollection<byte[]> OutPos, IEnumerable<byte[]> NegativTerms, ICollection<byte[]> OutNeg) { int iTotalLevels = (PositivTerms.Count() > 0 ? PositivTerms.First().Length : (NegativTerms != null && NegativTerms.Count() > 0 ? NegativTerms.First().Length : 0)); Dictionary<int, LinkedList<byte[]>> SkleivPosTerms = new Dictionary<int, LinkedList<byte[]>>(iTotalLevels); Dictionary<int, LinkedList<byte[]>> SkleivNegTerms = new Dictionary<int, LinkedList<byte[]>>(iTotalLevels); LinkedList<byte[]> InpPosTerms = new LinkedList<byte[]>(); LinkedList<byte[]> InpNegTerms = new LinkedList<byte[]>(); if (iTotalLevels < 40) { HashSet<UInt64> X1PositivTree = new HashSet<UInt64>(); DeleteDublicatingTerms(PositivTerms, X1PositivTree); HashSet<UInt64> X1NegativTree = null; if (NegativTerms != null) { X1NegativTree = new HashSet<UInt64>(); DeleteDublicatingTerms(NegativTerms, X1NegativTree); //        foreach(UInt64 iNumb in X1PositivTree.Intersect(X1NegativTree)) { // -    X1   NegativTerms int iPos_Count = PositivTerms.Count(p => GetTermCode(p) == iNumb); int iNeg_Count = NegativTerms.Count(p => GetTermCode(p) == iNumb); if (iPos_Count > iNeg_Count) { X1NegativTree.Remove(iNumb); } else if (iPos_Count < iNeg_Count) { X1PositivTree.Remove(iNumb); } else //if (iPos_Count == iNeg_Count) { X1PositivTree.Remove(iNumb); X1NegativTree.Remove(iNumb); } } //           foreach (UInt64 code in X1NegativTree) { InpNegTerms.AddLast(GetTermByCode(code, iTotalLevels)); } } //          foreach (UInt64 code in X1PositivTree) { InpPosTerms.AddLast(GetTermByCode(code, iTotalLevels)); } int iLevelCounter = 0; //        while ((X1PositivTree.Count != 0) && (iLevelCounter < iTotalLevels)) { HashSet<UInt64> X2PositivTree = new HashSet<UInt64>(); Skleivanie(X1PositivTree, X2PositivTree, X1NegativTree, InpNegTerms, SkleivPosTerms, iLevelCounter, iTotalLevels); if ((X1NegativTree != null) && (X1NegativTree.Count != 0)) { HashSet<UInt64> X2NegativTree = new HashSet<UInt64>(); Skleivanie(X1NegativTree, X2NegativTree, X1PositivTree, InpPosTerms, SkleivNegTerms, iLevelCounter, iTotalLevels); //   X1NegativTree.Clear(); X1NegativTree = X2NegativTree; } //   X1PositivTree.Clear(); X1PositivTree = X2PositivTree; iLevelCounter++; GC.Collect(); } } else { TreeFuncTerm X1PositivTree = new TreeFuncTerm(); DeleteDublicatingTerms(PositivTerms, X1PositivTree); TreeFuncTerm X1NegativTree = null; if (NegativTerms != null) { X1NegativTree = new TreeFuncTerm(); DeleteDublicatingTerms(NegativTerms, X1NegativTree); //         for (TreeFuncTerm.TreeNodeEnd x1 = X1PositivTree.EnumerationInit(); x1 != null; x1 = X1PositivTree.EnumerationNextNode()) { if (!X1NegativTree.Contains(X1PositivTree.EnumerationTerm)) continue; // -    PositivTerms   NegativTerms int iPos_Count = PositivTerms.Count(p => IsEqualTerms(p, X1PositivTree.EnumerationTerm)); int iNeg_Count = NegativTerms.Count(p => IsEqualTerms(p, X1PositivTree.EnumerationTerm)); if (iPos_Count > iNeg_Count) { X1NegativTree.Remove(X1PositivTree.EnumerationTerm); } else if (iPos_Count < iNeg_Count) { X1PositivTree.Remove(X1PositivTree.EnumerationTerm); } else //if (iPos_Count == iNeg_Count) { X1PositivTree.Remove(X1PositivTree.EnumerationTerm); X1NegativTree.Remove(X1PositivTree.EnumerationTerm); } } //           for (TreeFuncTerm.TreeNodeEnd x1 = X1NegativTree.EnumerationInit(); x1 != null; x1 = X1NegativTree.EnumerationNextNode()) { InpNegTerms.AddLast((byte[])X1NegativTree.EnumerationTerm.Clone()); } } //          for (TreeFuncTerm.TreeNodeEnd X1Term = X1PositivTree.EnumerationInit(); X1Term != null; X1Term = X1PositivTree.EnumerationNextNode()) { InpPosTerms.AddLast((byte[])X1PositivTree.EnumerationTerm.Clone()); } int iLevelCounter = 0; //        while ((X1PositivTree.Count != 0) && (iLevelCounter < iTotalLevels)) { TreeFuncTerm X2PositivTree = new TreeFuncTerm(); Skleivanie(X1PositivTree, X2PositivTree, X1NegativTree, InpNegTerms, SkleivPosTerms, iLevelCounter); if ((X1NegativTree != null) && (X1NegativTree.Count != 0)) { TreeFuncTerm X2NegativTree = new TreeFuncTerm(); Skleivanie(X1NegativTree, X2NegativTree, X1PositivTree, InpPosTerms, SkleivNegTerms, iLevelCounter); //   X1NegativTree.Clear(); X1NegativTree = X2NegativTree; } //   X1PositivTree.Clear(); X1PositivTree = X2PositivTree; iLevelCounter++; GC.Collect(); } } //       ReduceRedundancyTerms(InpPosTerms, SkleivPosTerms, OutPos); //       ReduceRedundancyTerms(InpNegTerms, SkleivNegTerms, OutNeg); } //  public void Start(IEnumerable<byte[]> TermsInput) { LogicFuncMinimize(TermsInput, _result.Terms, null, null); } //  public void Start(IEnumerable<byte[]> TermsInput, IEnumerable<byte[]> NegativTerms) { LogicFuncMinimize(TermsInput, _result.Terms, NegativTerms, _resultNeg.Terms); } //  public void Start(IEnumerable<char[]> TermsInput) { Start(TermsInput.Select(t => t.Select(p => (byte)(p == '0' ? 0 : 1)).ToArray())); } //  public void Start(IEnumerable<char[]> TermsInput, IEnumerable<char[]> NegativTerms) { Start(TermsInput.Select(t => t.Select(p => (byte)(p == '0' ? 0 : 1)).ToArray()), NegativTerms.Select(t => t.Select(p => (byte)(p == '0' ? 0 : 1)).ToArray())); } //  public void Start(IEnumerable<bool[]> TermsInput) { Start(TermsInput.Select(t => t.Select(p => (byte)(p ? 1 : 0)).ToArray())); } //  public void Start(IEnumerable<bool[]> TermsInput, IEnumerable<bool[]> NegativTerms) { Start(TermsInput.Select(t => t.Select(p => (byte)(p ? 1 : 0)).ToArray()), NegativTerms.Select(t => t.Select(p => (byte)(p ? 1 : 0)).ToArray())); } public void PrintResult() { Console.WriteLine("--------Otvet-------"); char[] pTermSymbs = new char[] { '0', '1', '*' }; foreach (byte[] Term in _result.Terms) { for (int j = 0; j < Term.Length; j++) { Console.Write(pTermSymbs[Term[j]].ToString() + " "); } Console.WriteLine(); } } } 

 public static void TestQuineMcCluskeyRandomPart(int iVariableAmount, double dPart=1) { if (dPart < 0) throw new ArgumentException(" dPart    0   1"); if (dPart > 1) dPart = 1; //   ulong iTotalCombines = (ulong)1 << iVariableAmount; LinkedList<byte[]> pTrueCol = new LinkedList<byte[]>(); LinkedList<byte[]> pFalseCol = new LinkedList<byte[]>(); HashSet<ulong> pUsedTerms = new HashSet<ulong>(); Random rnd = new Random(); byte[] buf = new byte[8]; while (pUsedTerms.LongCount() < (iTotalCombines * dPart)) { rnd.NextBytes(buf); ulong iCurValue = (ulong)BitConverter.ToInt64(buf, 0) % iTotalCombines; if (pUsedTerms.Contains(iCurValue)) { //  -     do { iCurValue = ++iCurValue % iTotalCombines; } while (pUsedTerms.Contains(iCurValue)); } pUsedTerms.Add(iCurValue); byte[] sLine = new byte[iVariableAmount]; for (int i = 0; i < iVariableAmount; i++) { sLine[i] += (byte)(iCurValue % 2); iCurValue >>= 1; } if (rnd.Next(2) != 0) { pTrueCol.AddLast(sLine); } else { pFalseCol.AddLast(sLine); } } //   DateTime DtStart = DateTime.Now; Console.WriteLine(" - " + DtStart.ToLongTimeString()); Quine_McCluskey Logic = new Quine_McCluskey(); Logic.Start(pTrueCol, pFalseCol); DateTime DtEnd = DateTime.Now; Logic.PrintResult(); Console.WriteLine(" - " + DtStart.ToLongTimeString()); Console.WriteLine(" - " + DtEnd.ToLongTimeString()); TimeSpan Elapsed = DtEnd - DtStart; Console.WriteLine(" - " + String.Format("{0:00}:{1:00}:{2:00}", Elapsed.Hours, Elapsed.Minutes, Elapsed.Seconds)); //  int iErrorsCounter = 0; foreach (byte[] kvp in pTrueCol) { if (Logic.Result.Calculate(kvp) != true) iErrorsCounter++; } foreach (byte[] kvp in pFalseCol) { if (Logic.Result.Calculate(kvp) != false) iErrorsCounter++; } Console.WriteLine("-   = " + pUsedTerms.Count); Console.WriteLine("-   = " + Logic.Result.Terms.Count); Console.WriteLine("-  = " + iErrorsCounter); Console.ReadLine(); }