Esempio n. 1
0
 public void Mul(ref BigIntegerBuilder regMul)
 {
     if (regMul._iuLast == 0)
     {
         Mul(regMul._uSmall);
     }
     else if (_iuLast != 0)
     {
         var num = _iuLast + 1;
         SetSizeKeep(num + regMul._iuLast, 1);
         var num1 = num;
         while (true)
         {
             var num2 = num1 - 1;
             num1 = num2;
             if (num2 < 0)
             {
                 break;
             }
             var num3 = _bits[num1];
             _bits[num1] = 0;
             uint num4 = 0;
             for (var i = 0; i <= regMul._iuLast; i++)
             {
                 num4 = AddMulCarry(ref _bits[num1 + i], regMul._bits[i], num3, num4);
             }
             if (num4 != 0)
             {
                 for (var j = num1 + regMul._iuLast + 1; num4 != 0 && j <= _iuLast; j++)
                 {
                     num4 = AddCarry(ref _bits[j], 0, num4);
                 }
                 if (num4 != 0)
                 {
                     SetSizeKeep(_iuLast + 2, 0);
                     _bits[_iuLast] = num4;
                 }
             }
         }
     }
     else
     {
         var num5 = _uSmall;
         if (num5 == 1)
         {
             this = new BigIntegerBuilder(ref regMul);
         }
         else if (num5 != 0)
         {
             Load(ref regMul, 1);
             Mul(num5);
         }
     }
 }
Esempio n. 2
0
 public void ModDiv(ref BigIntegerBuilder regDen, ref BigIntegerBuilder regQuo)
 {
     if (regDen._iuLast == 0)
     {
         regQuo.Set(DivMod(regDen._uSmall));
         NumericHelper.Swap(ref this, ref regQuo);
         return;
     }
     if (_iuLast == 0)
     {
         return;
     }
     ModDivCore(ref this, ref regDen, true, ref regQuo);
 }
Esempio n. 3
0
        public void Mod(ref BigIntegerBuilder regDen)
        {
            if (regDen._iuLast == 0)
            {
                Set(Mod(ref this, regDen._uSmall));
                return;
            }
            if (_iuLast == 0)
            {
                return;
            }
            var bigIntegerBuilder = new BigIntegerBuilder();

            ModDivCore(ref this, ref regDen, false, ref bigIntegerBuilder);
        }
Esempio n. 4
0
 public BigIntegerBuilder(ref BigIntegerBuilder reg)
 {
     this = reg;
     if (_fWritable)
     {
         _fWritable = false;
         if (_iuLast != 0)
         {
             reg._fWritable = false;
         }
         else
         {
             _bits = null;
         }
     }
 }
Esempio n. 5
0
        public void Div(ref BigIntegerBuilder regDen)
        {
            if (regDen._iuLast == 0)
            {
                DivMod(regDen._uSmall);
                return;
            }
            if (_iuLast == 0)
            {
                _uSmall = 0;
                return;
            }
            var bigIntegerBuilder = new BigIntegerBuilder();

            ModDivCore(ref this, ref regDen, true, ref bigIntegerBuilder);
            NumericHelper.Swap(ref this, ref bigIntegerBuilder);
        }
Esempio n. 6
0
 public void Load(ref BigIntegerBuilder reg, int cuExtra)
 {
     if (reg._iuLast != 0)
     {
         if (!_fWritable || _bits.Length <= reg._iuLast)
         {
             _bits      = new uint[reg._iuLast + 1 + cuExtra];
             _fWritable = true;
         }
         _iuLast = reg._iuLast;
         Array.Copy(reg._bits, _bits, _iuLast + 1);
     }
     else
     {
         _uSmall = reg._uSmall;
         _iuLast = 0;
     }
 }
Esempio n. 7
0
 public static void Gcd(ref BigIntegerBuilder reg1, ref BigIntegerBuilder reg2)
 {
     if ((reg1._iuLast <= 0 || reg1._bits[0] != 0) && (reg2._iuLast <= 0 || reg2._bits[0] != 0))
     {
         LehmerGcd(ref reg1, ref reg2);
     }
     else
     {
         var num  = reg1.MakeOdd();
         var num1 = reg2.MakeOdd();
         LehmerGcd(ref reg1, ref reg2);
         var num2 = Math.Min(num, num1);
         if (num2 > 0)
         {
             reg1.ShiftLeft(num2);
         }
     }
 }
Esempio n. 8
0
        public static uint Mod(ref BigIntegerBuilder regNum, uint num5)
        {
            if (num5 == 1)
            {
                return(0);
            }
            if (regNum._iuLast == 0)
            {
                return(regNum._uSmall % num5);
            }
            var num = (ulong)0;

            for (var i = regNum._iuLast; i >= 0; i--)
            {
                num = NumericsHelpers.MakeUlong((uint)num, regNum._bits[i]);
                num = num % num5;
            }
            return((uint)num);
        }
Esempio n. 9
0
        public void Add(ref BigIntegerBuilder reg)
        {
            if (reg._iuLast == 0)
            {
                Add(reg._uSmall);
                return;
            }
            if (_iuLast == 0)
            {
                var num = _uSmall;
                if (num != 0)
                {
                    Load(ref reg, 1);
                    Add(num);
                }
                else
                {
                    this = new BigIntegerBuilder(ref reg);
                }
                return;
            }
            EnsureWritable(Math.Max(_iuLast, reg._iuLast) + 1, 1);
            var num1 = reg._iuLast + 1;

            if (_iuLast < reg._iuLast)
            {
                num1 = _iuLast + 1;
                Array.Copy(reg._bits, _iuLast + 1, _bits, _iuLast + 1, reg._iuLast - _iuLast);
                _iuLast = reg._iuLast;
            }
            uint num2 = 0;

            for (var i = 0; i < num1; i++)
            {
                num2 = AddCarry(ref _bits[i], reg._bits[i], num2);
            }
            if (num2 != 0)
            {
                ApplyCarry(num1);
            }
        }
Esempio n. 10
0
        private void SubRev(ref BigIntegerBuilder reg)
        {
            EnsureWritable(reg._iuLast + 1, 0);
            var num = _iuLast + 1;

            if (_iuLast < reg._iuLast)
            {
                Array.Copy(reg._bits, _iuLast + 1, _bits, _iuLast + 1, reg._iuLast - _iuLast);
                _iuLast = reg._iuLast;
            }
            uint num1 = 0;

            for (var i = 0; i < num; i++)
            {
                num1 = SubRevBorrow(ref _bits[i], reg._bits[i], num1);
            }
            if (num1 != 0)
            {
                ApplyBorrow(num);
            }
            Trim();
        }
Esempio n. 11
0
 public void Mul(ref BigIntegerBuilder reg1, ref BigIntegerBuilder reg2)
 {
     if (reg1._iuLast == 0)
     {
         if (reg2._iuLast != 0)
         {
             Load(ref reg2, 1);
             Mul(reg1._uSmall);
         }
         else
         {
             Set(reg1._uSmall * (ulong)reg2._uSmall);
         }
     }
     else if (reg2._iuLast != 0)
     {
         SetSizeClear(reg1._iuLast + reg2._iuLast + 2);
         uint[] numArray;
         uint[] numArray1;
         int    num;
         int    num1;
         if (reg1.CuNonZero > reg2.CuNonZero)
         {
             numArray  = reg2._bits;
             num       = reg2._iuLast + 1;
             numArray1 = reg1._bits;
             num1      = reg1._iuLast + 1;
         }
         else
         {
             numArray  = reg1._bits;
             num       = reg1._iuLast + 1;
             numArray1 = reg2._bits;
             num1      = reg2._iuLast + 1;
         }
         for (var i = 0; i < num; i++)
         {
             var num2 = numArray[i];
             if (num2 != 0)
             {
                 uint num3 = 0;
                 var  num4 = i;
                 var  num5 = 0;
                 while (num5 < num1)
                 {
                     num3 = AddMulCarry(ref _bits[num4], num2, numArray1[num5], num3);
                     num5++;
                     num4++;
                 }
                 while (num3 != 0)
                 {
                     var num6 = num4;
                     num4 = num6 + 1;
                     num3 = AddCarry(ref _bits[num6], 0, num3);
                 }
             }
         }
         Trim();
     }
     else
     {
         Load(ref reg1, 1);
         Mul(reg2._uSmall);
     }
 }
Esempio n. 12
0
        private static void ModDivCore(ref BigIntegerBuilder regNum, ref BigIntegerBuilder regDen, bool fQuo, ref BigIntegerBuilder regQuo)
        {
            regQuo.Set(0);
            if (regNum._iuLast < regDen._iuLast)
            {
                return;
            }
            var num1 = regDen._iuLast + 1;
            var num2 = regNum._iuLast - regDen._iuLast;
            var num3 = num2;
            var num4 = regNum._iuLast;

            while (true)
            {
                if (num4 < num2)
                {
                    num3++;
                    break;
                }
                if (regDen._bits[num4 - num2] == regNum._bits[num4])
                {
                    num4--;
                }
                else
                {
                    if (regDen._bits[num4 - num2] < regNum._bits[num4])
                    {
                        num3++;
                    }
                    break;
                }
            }
            if (num3 == 0)
            {
                return;
            }
            if (fQuo)
            {
                regQuo.SetSizeLazy(num3);
            }
            var num5 = regDen._bits[num1 - 1];
            var num6 = regDen._bits[num1 - 2];
            var num7 = NumericsHelpers.CbitHighZero(num5);
            var num8 = 32 - num7;

            if (num7 > 0)
            {
                num5 = num5 << (num7 & 31) | num6 >> (num8 & 31);
                num6 = num6 << (num7 & 31);
                if (num1 > 2)
                {
                    num6 = num6 | regDen._bits[num1 - 3] >> (num8 & 31);
                }
            }
            regNum.EnsureWritable();
            var num9 = num3;

            while (true)
            {
                var num10 = num9 - 1;
                num9 = num10;
                if (num10 < 0)
                {
                    break;
                }
                var num   = num9 + num1 > regNum._iuLast ? 0 : regNum._bits[num9 + num1];
                var num11 = num;
                var num12 = NumericsHelpers.MakeUlong(num11, regNum._bits[num9 + num1 - 1]);
                var num13 = regNum._bits[num9 + num1 - 2];
                if (num7 > 0)
                {
                    num12 = num12 << (num7 & 63) | num13 >> (num8 & 31);
                    num13 = num13 << (num7 & 31);
                    if (num9 + num1 >= 3)
                    {
                        num13 = num13 | regNum._bits[num9 + num1 - 3] >> (num8 & 31);
                    }
                }
                var num14 = num12 / num5;
                var num15 = (ulong)((uint)(num12 % num5));
                if (num14 > uint.MaxValue)
                {
                    num15 += num5 * (num14 - uint.MaxValue);
                    num14  = uint.MaxValue;
                }
                while (num15 <= uint.MaxValue && num14 * num6 > NumericsHelpers.MakeUlong((uint)num15, num13))
                {
                    num14--;
                    num15 += num5;
                }
                if (num14 > 0)
                {
                    var num16 = (ulong)0;
                    for (var i = 0; i < num1; i++)
                    {
                        num16 = num16 + regDen._bits[i] * num14;
                        var num17 = (uint)num16;
                        num16 = num16 >> 32;
                        if (regNum._bits[num9 + i] < num17)
                        {
                            num16 = num16 + 1;
                        }
                        regNum._bits[num9 + i] = regNum._bits[num9 + i] - num17;
                    }
                    if (num11 < num16)
                    {
                        uint num18 = 0;
                        for (var j = 0; j < num1; j++)
                        {
                            num18 = AddCarry(ref regNum._bits[num9 + j], regDen._bits[j], num18);
                        }
                        num14 = num14 - 1;
                    }
                    regNum._iuLast = num9 + num1 - 1;
                }
                if (fQuo)
                {
                    if (num3 != 1)
                    {
                        regQuo._bits[num9] = (uint)num14;
                    }
                    else
                    {
                        regQuo._uSmall = (uint)num14;
                    }
                }
            }
            regNum._iuLast = num1 - 1;
            regNum.Trim();
        }
Esempio n. 13
0
 public void Load(ref BigIntegerBuilder reg)
 {
     Load(ref reg, 0);
 }
Esempio n. 14
0
        private static void LehmerGcd(ref BigIntegerBuilder reg1, ref BigIntegerBuilder reg2)
        {
            var num = 1;

            while (true)
            {
                var num1 = reg1._iuLast + 1;
                var num2 = reg2._iuLast + 1;
                if (num1 < num2)
                {
                    NumericHelper.Swap(ref reg1, ref reg2);
                    NumericHelper.Swap(ref num1, ref num2);
                }
                if (num2 == 1)
                {
                    if (num1 == 1)
                    {
                        reg1._uSmall = NumericHelper.GCD(reg1._uSmall, reg2._uSmall);
                    }
                    else if (reg2._uSmall != 0)
                    {
                        reg1.Set(NumericHelper.GCD(Mod(ref reg1, reg2._uSmall), reg2._uSmall));
                    }
                    return;
                }
                if (num1 == 2)
                {
                    break;
                }
                if (num2 > num1 - 2)
                {
                    var high2  = reg1.GetHigh2(num1);
                    var high21 = reg2.GetHigh2(num1);
                    var num3   = NumericsHelpers.CbitHighZero(high2 | high21);
                    if (num3 > 0)
                    {
                        high2  = high2 << (num3 & 63) | reg1._bits[num1 - 3] >> (32 - num3 & 31);
                        high21 = high21 << (num3 & 63) | reg2._bits[num1 - 3] >> (32 - num3 & 31);
                    }
                    if (high2 < high21)
                    {
                        NumericHelper.Swap(ref high2, ref high21);
                        NumericHelper.Swap(ref reg1, ref reg2);
                    }
                    if (high2 == ulong.MaxValue || high21 == ulong.MaxValue)
                    {
                        high2  = high2 >> 1;
                        high21 = high21 >> 1;
                    }
                    if (high2 == high21)
                    {
                        reg1.Sub(ref num, ref reg2);
                    }
                    else if (NumericHelper.GetHi(high21) != 0)
                    {
                        uint num4 = 1;
                        uint num5 = 0;
                        uint num6 = 0;
                        uint num7 = 1;
                        while (true)
                        {
                            uint num8 = 1;
                            var  num9 = high2 - high21;
                            while (num9 >= high21 && num8 < 32)
                            {
                                num9 = num9 - high21;
                                num8++;
                            }
                            if (num9 >= high21)
                            {
                                var num10 = high2 / high21;
                                if (num10 <= uint.MaxValue)
                                {
                                    num8 = (uint)num10;
                                    num9 = high2 - num8 * high21;
                                }
                                else
                                {
                                    break;
                                }
                            }
                            var num11 = num4 + num8 * (ulong)num6;
                            var num12 = num5 + num8 * (ulong)num7;
                            if (num11 > 2147483647 || num12 > 2147483647)
                            {
                                break;
                            }
                            else if (num9 < num12 || num9 + num11 > high21 - num6)
                            {
                                break;
                            }
                            else
                            {
                                num4  = (uint)num11;
                                num5  = (uint)num12;
                                high2 = num9;
                                if (high2 > num5)
                                {
                                    num8 = 1;
                                    num9 = high21 - high2;
                                    while (num9 >= high2 && num8 < 32)
                                    {
                                        num9 = num9 - high2;
                                        num8++;
                                    }
                                    if (num9 >= high2)
                                    {
                                        var num13 = high21 / high2;
                                        if (num13 <= uint.MaxValue)
                                        {
                                            num8 = (uint)num13;
                                            num9 = high21 - num8 * high2;
                                        }
                                        else
                                        {
                                            break;
                                        }
                                    }
                                    num11 = num7 + num8 * (ulong)num5;
                                    num12 = num6 + num8 * (ulong)num4;
                                    if (num11 > 2147483647 || num12 > 2147483647)
                                    {
                                        break;
                                    }
                                    if (num9 < num12 || num9 + num11 > high2 - num5)
                                    {
                                        break;
                                    }
                                    num7   = (uint)num11;
                                    num6   = (uint)num12;
                                    high21 = num9;
                                    if (high21 <= num6)
                                    {
                                        break;
                                    }
                                }
                                else
                                {
                                    break;
                                }
                            }
                        }
                        if (num5 != 0)
                        {
                            reg1.SetSizeKeep(num2, 0);
                            reg2.SetSizeKeep(num2, 0);
                            var num14 = 0;
                            var num15 = 0;
                            for (var i = 0; i < num2; i++)
                            {
                                var num16 = reg1._bits[i];
                                var num17 = reg2._bits[i];
                                var num18 = (long)num16 * num4 - (long)num17 * num5 + num14;
                                var num19 = (long)num17 * num7 - (long)num16 * num6 + num15;
                                num14         = (int)(num18 >> 32);
                                num15         = (int)(num19 >> 32);
                                reg1._bits[i] = (uint)num18;
                                reg2._bits[i] = (uint)num19;
                            }
                            reg1.Trim();
                            reg2.Trim();
                        }
                        else if (high2 / 2 < high21)
                        {
                            reg1.Sub(ref num, ref reg2);
                        }
                        else
                        {
                            reg1.Mod(ref reg2);
                        }
                    }
                    else
                    {
                        reg1.Mod(ref reg2);
                    }
                }
                else
                {
                    reg1.Mod(ref reg2);
                }
            }
            reg1.Set(NumericHelper.GCD(reg1.GetHigh2(2), reg2.GetHigh2(2)));
        }
Esempio n. 15
0
        public void Sub(ref int sign, ref BigIntegerBuilder reg)
        {
            if (reg._iuLast == 0)
            {
                Sub(ref sign, reg._uSmall);
                return;
            }
            if (_iuLast == 0)
            {
                var num = _uSmall;
                if (num != 0)
                {
                    Load(ref reg);
                    Sub(ref sign, num);
                }
                else
                {
                    this = new BigIntegerBuilder(ref reg);
                }
                sign = -sign;
                return;
            }
            if (_iuLast < reg._iuLast)
            {
                SubRev(ref reg);
                sign = -sign;
                return;
            }
            var num1 = reg._iuLast + 1;

            if (_iuLast == reg._iuLast)
            {
                _iuLast = BigInteger.GetDiffLength(_bits, reg._bits, _iuLast + 1) - 1;
                if (_iuLast < 0)
                {
                    _iuLast = 0;
                    _uSmall = 0;
                    return;
                }
                var num2 = _bits[_iuLast];
                var num3 = reg._bits[_iuLast];
                if (_iuLast == 0)
                {
                    if (num2 >= num3)
                    {
                        _uSmall = num2 - num3;
                    }
                    else
                    {
                        _uSmall = num3 - num2;
                        sign    = -sign;
                    }
                    return;
                }
                if (num2 < num3)
                {
                    reg._iuLast = _iuLast;
                    SubRev(ref reg);
                    reg._iuLast = num1 - 1;
                    sign        = -sign;
                    return;
                }
                num1 = _iuLast + 1;
            }
            EnsureWritable();
            uint num4 = 0;

            for (var i = 0; i < num1; i++)
            {
                num4 = SubBorrow(ref _bits[i], reg._bits[i], num4);
            }
            if (num4 != 0)
            {
                ApplyBorrow(num1);
            }
            Trim();
        }