Пример #1
0
        public void Execute(PrimesBigInteger value)
        {
            CancelTestThread();
            log.Clear();

            m_Value = value;

            if (m_Value.Mod(2).CompareTo(0) == 0)
            {
                log.Info(string.Format(rsc.Primetest.mr_iseven, value));
                FireEventCancelTest();
            }
            else
            {
                log.Info(string.Format(rsc.Primetest.mr_shiftcalc, m_Value - 1));
                GetShift(value);
                log.Info(string.Format((m_shift == 1) ? rsc.Primetest.mr_shiftedright : rsc.Primetest.mr_shiftedright2, m_shift, m_Value - 1, m_d));
                log.Info("");

                switch (KindOfTest)
                {
                case KOD.Random:
                    ExecuteRandom();
                    break;

                case KOD.Systematic:
                    ExecuteSystematic();
                    break;
                }
            }
        }
Пример #2
0
        /// <summary>
        /// Calculates binary expressions and pushes the result into the operands stack
        /// </summary>
        /// <param name="op">Binary operator</param>
        /// <param name="operand1">First operand</param>
        /// <param name="operand2">Second operand</param>
        private void Calculate(string op, PrimesBigInteger operand1, PrimesBigInteger operand2)
        {
            PrimesBigInteger res = PrimesBigInteger.Zero;

            try
            {
                switch (op)
                {
                case Token.Add: res = operand1.Add(operand2); break;

                case Token.Subtract: res = operand1.Subtract(operand2); break;

                case Token.Multiply: res = operand1.Multiply(operand2); break;

                case Token.Divide: res = operand1.Divide(operand2); break;

                case Token.Mod: res = operand1.Mod(operand2); break;

                case Token.Power: res = operand1.Pow(operand2.IntValue); break;

                case Token.Log: res = PrimesBigInteger.Zero; break;

                case Token.Root: res = PrimesBigInteger.Zero; break;
                }

                operands.Push(PostProcess(res));
            }
            catch (Exception e)
            {
                ThrowException(e.Message);
            }
        }
Пример #3
0
        protected override void DoExecute()
        {
            FireOnStart();
            PrimesBigInteger from = m_From;

            while (from.CompareTo(m_To) <= 0)
            {
                PrimesBigInteger result = PrimesBigInteger.Zero;
                PrimesBigInteger k      = PrimesBigInteger.One;
                while (k.CompareTo(from) <= 0)
                {
                    if (from.Mod(k).Equals(PrimesBigInteger.Zero))
                    {
                        PrimesBigInteger phik = EulerPhi(k);
                        result = result.Add(phik);
                        FireOnMessage(this, from, result.ToString());
                    }
                    k = k.Add(PrimesBigInteger.One);
                }
                FireOnMessage(this, from, result.ToString());
                from = from.Add(PrimesBigInteger.One);
            }

            FireOnStop();
        }
Пример #4
0
        protected override void DoExecute()
        {
            FireOnStart();

            PrimesBigInteger from = m_From;

            while (from.CompareTo(m_To) <= 0)
            {
                StringBuilder sbMessage = new StringBuilder("[");

                PrimesBigInteger d = PrimesBigInteger.One;

                while (d.Multiply(PrimesBigInteger.Two).CompareTo(from) <= 0)
                {
                    if (from.Mod(d).Equals(PrimesBigInteger.Zero))
                    {
                        if (sbMessage.Length > 1)
                        {
                            sbMessage.Append(", ");
                        }
                        sbMessage.Append(d.ToString());

                        FireOnMessage(this, from, sbMessage.ToString());
                    }
                    d = d.Add(PrimesBigInteger.One);
                }
                sbMessage.Append(", " + from.ToString() + "]");
                FireOnMessage(this, from, sbMessage.ToString());
                from = from.Add(PrimesBigInteger.One);
            }

            FireOnStop();
        }
Пример #5
0
        private PrimesBigInteger CalculateFactor(PrimesBigInteger value)
        {
            PrimesBigInteger x = m_StartFX;
            PrimesBigInteger y = m_StartFX;
            PrimesBigInteger d = PrimesBigInteger.One;
            PrimesBigInteger a = m_A;
            int i = 0;

            if (value.Mod(PrimesBigInteger.Two).Equals(PrimesBigInteger.Zero))
            {
                return(PrimesBigInteger.Two);
            }
            do
            {
                x = x.ModPow(PrimesBigInteger.Two, value).Add(a).Mod(value);
                y = y.ModPow(PrimesBigInteger.Two, value).Add(a).Mod(value);
                y = y.ModPow(PrimesBigInteger.Two, value).Add(a).Mod(value);
                d = PrimesBigInteger.GCD(x.Subtract(y), value);
                i++;
                if (y.Equals(x))
                {
                    log.Info("Change Values");
                    a = PrimesBigInteger.ValueOf(new Random().Next());
                    x = y = PrimesBigInteger.ValueOf(new Random().Next());
                    i = 0;
                }
            }while (d.Equals(PrimesBigInteger.One));
            return(d);
        }
Пример #6
0
        //private bool MillerRabin(PrimesBigInteger rounds, PrimesBigInteger n)
        //{
        //  PrimesBigInteger i = PrimesBigInteger.One;

        //  while (i.CompareTo(rounds) <= 0)
        //  {
        //    if (Witness(PrimesBigInteger.RandomM(n.Subtract(PrimesBigInteger.Two)).Add(PrimesBigInteger.Two), n))
        //      return false;
        //    i = i.Add(PrimesBigInteger.One);
        //  }
        //  return true;
        //}

        private void GetShift(PrimesBigInteger a)
        {
            m_d     = m_Value - 1;
            m_shift = 0;

            while (m_d.Mod(2).CompareTo(0) == 0)
            {
                log.Info(string.Format(rsc.Primetest.mr_shiftright, m_d, m_d.ShiftRight(1)));
                m_d = m_d.ShiftRight(1);
                m_shift++;
            }
        }
Пример #7
0
        private void btnForward_Click(object sender, RoutedEventArgs e)
        {
            PrimesBigInteger rows   = PrimesBigInteger.ValueOf(this.Rows);
            PrimesBigInteger amount = rows;

            if (sender == btnCompleteForward)
            {
                amount =
                    m_Limit.Subtract((numbergrid.Children[this.Rows + this.Columns - 2 + (this.Columns * this.Rows) - 1] as NumberButton).BINumber);
                amount = amount.Add(rows.Subtract(amount.Mod(rows)));
            }

            ScrollGrid(amount, false);
        }
Пример #8
0
        private bool Witness(PrimesBigInteger a)
        {
            // a mustn't be a multiple of n
            if (a.Mod(m_Value).CompareTo(0) == 0)
            {
                return(false);
            }

            PrimesBigInteger n_1 = m_Value - 1;

            log.Info(string.Format("n-1 = {0} = 2^{1} * {2}", n_1, m_shift, m_d));

            PrimesBigInteger former = a.ModPow(m_d, m_Value);

            log.Info(string.Format(rsc.Primetest.mr_calculating1, a, m_d, m_Value, former));
            if (former.CompareTo(1) == 0)
            {
                log.Info(string.Format(rsc.Primetest.mr_isprime, a, m_Value));
                return(false);
            }

            PrimesBigInteger square = 1;

            for (int i = 1; i <= m_shift; i++)
            {
                square = former.ModPow(2, m_Value);
                log.Info(string.Format(rsc.Primetest.mr_calculating2, a, m_d, 1 << i, m_Value, former, square));
                if (square.CompareTo(1) == 0)
                {
                    bool trivialroot = former.CompareTo(1) == 0 || former.CompareTo(n_1) == 0;
                    if (trivialroot)
                    {
                        log.Info(string.Format(rsc.Primetest.mr_isprime, a, m_Value));
                        return(false);
                    }
                    else
                    {
                        log.Info(string.Format(rsc.Primetest.mr_isnotprime1, former, m_Value));
                        return(true);
                    }
                }
                former = square;
            }

            log.Info(string.Format(rsc.Primetest.mr_isnotprime2, m_Value, a, n_1, m_Value, square));
            return(true);
        }
Пример #9
0
        private void TrialDivision()
        {
            m_Height = 0;
            PrimesBigInteger divisor = PrimesBigInteger.Two;

            FireOnActualDivisorChanged(divisor);
            PrimesBigInteger  value = new PrimesBigInteger(this.m_Root.Value);
            GmpFactorTreeNode node  = this.m_Root;

            while (!value.IsProbablePrime(10))
            {
                //int counter = 0;
                while (value.Mod(divisor).CompareTo(PrimesBigInteger.Zero) != 0)
                {
                    divisor = divisor.NextProbablePrime();
                    FireOnActualDivisorChanged(divisor);
                    //counter++;
                    //if (counter == 1000000)
                    //{
                    //  if (OnCanceled != null) OnCanceled("Nach 100.000 Versuchen wurde kein weiterer Faktor gefunden, das Verfahren wird abgebrochen.");
                    //  CancelFactorize();
                    //}
                }
                value       = value.Divide(divisor);
                m_Remainder = value;
                GmpFactorTreeNode primeNodeTmp = new GmpFactorTreeNode(divisor);
                primeNodeTmp.IsPrime = true;
                node.AddChild(primeNodeTmp);
                node         = node.AddChild(new GmpFactorTreeNode(value));
                node.IsPrime = value.IsProbablePrime(20);
                m_Height++;
                AddFactor(divisor);
            }
            m_Remainder = null;

            node.IsPrime = true;
            AddFactor(node.Value);
            if (OnStop != null)
            {
                OnStop();
            }
        }
Пример #10
0
        protected override void DoExecute()
        {
            FireOnStart();

            for (PrimesBigInteger from = m_From; from <= m_To; from = from + 1)
            {
                PrimesBigInteger counter = 0;

                for (PrimesBigInteger d = 1; d * 2 <= from; d = d + 1)
                {
                    if (from.Mod(d).Equals(PrimesBigInteger.Zero))
                    {
                        counter = counter + 1;
                        FireOnMessage(this, from, counter.ToString());
                    }
                }
                counter = counter + 1;
                FireOnMessage(this, from, counter.ToString());
            }

            FireOnStop();
        }
Пример #11
0
        protected override void DoExecute()
        {
            FireOnStart();

            for (PrimesBigInteger from = m_From; from.CompareTo(m_To) <= 0; from = from + 1)
            {
                PrimesBigInteger sum = 0;

                for (PrimesBigInteger d = 1; d * 2 <= from; d = d + 1)
                {
                    if (from.Mod(d).Equals(PrimesBigInteger.Zero))
                    {
                        sum = sum + d;
                        FireOnMessage(this, from, sum.ToString());
                    }
                }

                sum = sum + from;
                FireOnMessage(this, from, sum.ToString());
            }

            FireOnStop();
        }
Пример #12
0
        private void DoCalculateGoldbach(object o)
        {
            if (o == null || o.GetType() != typeof(PrimesBigInteger))
            {
                return;
            }

            PrimesBigInteger value = o as PrimesBigInteger;

            if (value.Mod(PrimesBigInteger.Two).Equals(PrimesBigInteger.One)) // value is odd
            {
                ControlHandler.SetPropertyValue(lblGoldbachInfoCalc, "Text", string.Format(Distribution.numberline_isodd, value));
                ControlHandler.SetPropertyValue(gbGoldbach, "Visibility", Visibility.Collapsed);
            }
            else if (value.Equals(PrimesBigInteger.Two))  // value = 2
            {
                ControlHandler.SetPropertyValue(lblGoldbachInfoCalc, "Text", Distribution.numberline_istwo);
                ControlHandler.SetPropertyValue(gbGoldbach, "Visibility", Visibility.Collapsed);
            }
            else // value is even and not prime
            {
                int counter  = 0;
                int maxlines = 1000;

                if (!value.IsProbablePrime(10))
                {
                    long x    = value.LongValue;
                    int  i    = 0;
                    long sum1 = PrimeNumbers.primes[i];
                    while (sum1 <= x / 2)
                    {
                        long sum2 = x - sum1;
                        if (BigIntegerHelper.IsProbablePrime(sum2))
                        //if (PrimeNumbers.isprime.Contains(sum2))
                        {
                            counter++;

                            if (counter < maxlines)
                            {
                                logGoldbach.Info(string.Format("{0} + {1}   ", sum1, sum2));
                            }
                            else if (counter == maxlines)
                            {
                                logGoldbach.Info(string.Format(Distribution.numberline_goldbachmaxlines, maxlines));
                            }

                            if (counter % 50 == 0)
                            {
                                string fmt = (counter == 1) ? Distribution.numberline_goldbachfoundsum : Distribution.numberline_goldbachfoundsums;
                                ControlHandler.SetPropertyValue(lblGoldbachInfoCalc, "Text", string.Format(fmt, counter, value));
                            }
                        }
                        sum1 = (++i < PrimeNumbers.primes.Length) ? PrimeNumbers.primes[i] : (long)BigIntegerHelper.NextProbablePrime(sum1 + 1);
                    }

                    string fmt1 = (counter == 1) ? Distribution.numberline_goldbachfoundsum : Distribution.numberline_goldbachfoundsums;
                    ControlHandler.SetPropertyValue(lblGoldbachInfoCalc, "Text", string.Format(fmt1, counter, value));
                    ControlHandler.SetPropertyValue(gbGoldbach, "Visibility", goldbachIsOpen ? Visibility.Visible : Visibility.Collapsed);
                }
            }

            if (GoldbachDone != null)
            {
                GoldbachDone();
            }
        }
Пример #13
0
        private void DoExecuteGraphic()
        {
            FireStartEvent();

            ClearArrows();
            m_SourceDestination.Clear();
            log.Clear();

            lock (m_RunningLockObject)
            {
                m_Running = true;
            }

            Point            lastPoint   = new Point(-1, -1);
            Ellipse          lastEllipse = null;
            PrimesBigInteger result      = null;
            PrimesBigInteger tmp         = m_Base.Mod(m_Mod);
            Ellipse          e           = this.GetEllipseAt(m_Points[tmp.IntValue]);

            if (e != null)
            {
                ControlHandler.SetPropertyValue(e, "Fill", Brushes.Red);
                ControlHandler.SetPropertyValue(e, "Stroke", Brushes.Red);
            }

            PrimesBigInteger i = 1;

            while (i <= m_Exp)
            {
                Thread.Sleep(100);

                if (result == null)
                {
                    result = m_Base.Mod(m_Mod);
                    log.Info(string.Format(Primes.Resources.lang.Numbertheory.Numbertheory.powermod_executionfirst, 1, m_Base, m_Mod, result));
                }
                else
                {
                    PrimesBigInteger tmpResult = result;
                    result = (result * m_Base).Mod(m_Mod);
                    log.Info(string.Format(Primes.Resources.lang.Numbertheory.Numbertheory.powermod_execution, i, tmpResult, m_Base, m_Mod, result));
                }

                if (lastPoint.X == -1 && lastPoint.Y == -1)
                {
                    lastPoint   = m_Points[result.IntValue];
                    lastEllipse = e;
                }
                else
                {
                    Ellipse _e       = this.GetEllipseAt(m_Points[result.IntValue]);
                    Point   newPoint = m_Points[result.IntValue];
                    //CreateArrow(i.Subtract(PrimesBigInteger.One), lastPoint, newPoint);
                    CreateArrow(i - 1, lastEllipse, _e);
                    lastPoint   = newPoint;
                    lastEllipse = _e;
                }

                i = i + 1;
                if (i >= 3)
                {
                    WaitStepWise();
                }
            }

            lock (m_RunningLockObject)
            {
                m_Running = false;
            }

            FireStopEvent();
        }