Ejemplo n.º 1
0
        Add(Digits a, Digits b, Digits c, Digits mod, int n)
        {
            Debug.Assert(n != 0, "internal error");
            Digit alead = a[n - 1], blead = b[n - 1], mlead = mod[n - 1];

            if (alead >= mlead)
            {
                ValidateData(a, mod, n);
            }
            if (blead >= mlead)
            {
                ValidateData(b, mod, n);
            }
            int test;

            if (blead > mlead - alead)
            {
                test = +1;
            }
            else if (mlead - alead - blead > 1)
            {
                test = -1;
            }
            else
            {
                test = Digits.CompareSum(a, b, mod, n);
            }
            if (test >= 0)
            {
                int carry = Digits.AddSub(a, b, mod, c, n);
                Debug.Assert(carry == 0, "internal error");
            }
            else
            {
                uint carry = Digits.Add(a, b, c, n);
                Debug.Assert(carry == 0, "internal error");
            }
        }
Ejemplo n.º 2
0
        internal Modulus(Digits mod, int digitN, bool fromRight)
        {
            if (digitN == 0 || mod[digitN - 1] == 0)
            {
                throw new ArgumentException();
            }
            _mod         = mod;
            _digitN      = digitN;
            _fromRight   = fromRight;
            _one         = new Digits(digitN);
            _multiplier1 = new Digits(digitN);
            _multiplier2 = new Digits(digitN);
            // this.mod.Set(this.mod, _digitN);
            _leftRecip = new Reciprocal();
            Digits.DivPrecondition(mod, digitN, _leftRecip);
            Digit mod0inv = 0;

            if ((mod[0] & 1) != 0)
            {
                mod0inv = Digit.TwoAdicInverse(mod[0]);
            }
            _rightRecip = mod0inv;
            int    digitN2 = (digitN + 1) / 2;
            Digits temp    = new Digits(digitN + digitN2);

            if (!fromRight)
            {
                _algorithm = new MulAlgorithm(_MulFromLeft);
                int dividendN = digitN + digitN2;
                _scaleBitN = 0;
                for (int i = 0; i != dividendN; i++)
                {
                    temp[i] = Digit.MaxValue;
                }
                temp[dividendN - 1] = Digit.MaxValue >> _leftRecip._shiftBitN;
                Digits q = new Digits(digitN2 + 1);
                Digits r = new Digits(digitN);
                Digits.Div(temp, dividendN, mod, digitN, _leftRecip, q, r);
                Debug.Assert(q[digitN2] == 1, "internal error");
                Digits.Add(r, 1U, r, digitN);
                Digits.Sub(mod, r, r, digitN);
            }
            else
            {
                _algorithm = new MulAlgorithm(_MulFromRight);
                _scaleBitN = Digit.BitN * digitN;
                if (mod0inv == 0)
                {
                    throw new ArgumentException();
                }
                _multiplier2[0] = mod0inv;
                temp[digitN]    = Digits.Mul(mod, mod0inv, temp, digitN);
                Debug.Assert(temp[0] == 1, "internal error");
                for (int i = 1; i != digitN2; i++)
                {
                    Digit mul = unchecked (0 - mod0inv * temp[i]);
                    _multiplier2[i] = mul;
                    temp[i + digitN]
                        = Digits.Accumulate(mod, mul, temp + i, digitN);
                    Debug.Assert(temp[i] == 0, "internal error");
                }
                _multiplier1._Set(temp + digitN2, digitN);
            }
            _ToModular(new Digits(new Digit[] { 1 }), 1, _one);
        }