예제 #1
0
        public NetBigInteger Remainder(
			NetBigInteger n)
        {
            if (n.m_sign == 0)
                throw new ArithmeticException("Division by zero error");

            if (m_sign == 0)
                return Zero;

            // For small values, use fast remainder method
            if (n.m_magnitude.Length == 1)
            {
                int val = n.m_magnitude[0];

                if (val > 0)
                {
                    if (val == 1)
                        return Zero;

                    int rem = Remainder(val);

                    return rem == 0
                        ? Zero
                        : new NetBigInteger(m_sign, new int[] { rem }, false);
                }
            }

            if (CompareNoLeadingZeroes(0, m_magnitude, 0, n.m_magnitude) < 0)
                return this;

            int[] result;
            if (n.QuickPow2Check())  // n is power of two
            {
                result = LastNBits(n.Abs().BitLength - 1);
            }
            else
            {
                result = (int[])m_magnitude.Clone();
                result = Remainder(result, n.m_magnitude);
            }

            return new NetBigInteger(m_sign, result, true);
        }
예제 #2
0
        public NetBigInteger[] DivideAndRemainder(
			NetBigInteger val)
        {
            if (val.m_sign == 0)
                throw new ArithmeticException("Division by zero error");

            NetBigInteger[] biggies = new NetBigInteger[2];

            if (m_sign == 0)
            {
                biggies[0] = Zero;
                biggies[1] = Zero;
            }
            else if (val.QuickPow2Check()) // val is power of two
            {
                int e = val.Abs().BitLength - 1;
                NetBigInteger quotient = Abs().ShiftRight(e);
                int[] remainder = LastNBits(e);

                biggies[0] = val.m_sign == m_sign ? quotient : quotient.Negate();
                biggies[1] = new NetBigInteger(m_sign, remainder, true);
            }
            else
            {
                int[] remainder = (int[])m_magnitude.Clone();
                int[] quotient = Divide(remainder, val.m_magnitude);

                biggies[0] = new NetBigInteger(m_sign * val.m_sign, quotient, true);
                biggies[1] = new NetBigInteger(m_sign, remainder, true);
            }

            return biggies;
        }
예제 #3
0
        public NetBigInteger Multiply(
			NetBigInteger val)
        {
            if (m_sign == 0 || val.m_sign == 0)
                return Zero;

            if (val.QuickPow2Check()) // val is power of two
            {
                NetBigInteger result = ShiftLeft(val.Abs().BitLength - 1);
                return val.m_sign > 0 ? result : result.Negate();
            }

            if (QuickPow2Check()) // this is power of two
            {
                NetBigInteger result = val.ShiftLeft(Abs().BitLength - 1);
                return m_sign > 0 ? result : result.Negate();
            }

            int maxBitLength = BitLength + val.BitLength;
            int resLength = (maxBitLength + BitsPerInt - 1) / BitsPerInt;

            int[] res = new int[resLength];

            if (val == this)
            {
                Square(res, m_magnitude);
            }
            else
            {
                Multiply(res, m_magnitude, val.m_magnitude);
            }

            return new NetBigInteger(m_sign * val.m_sign, res, true);
        }
예제 #4
0
        public NetBigInteger Divide(
			NetBigInteger val)
        {
            if (val.m_sign == 0)
                throw new ArithmeticException("Division by zero error");

            if (m_sign == 0)
                return Zero;

            if (val.QuickPow2Check()) // val is power of two
            {
                NetBigInteger result = Abs().ShiftRight(val.Abs().BitLength - 1);
                return val.m_sign == m_sign ? result : result.Negate();
            }

            int[] mag = (int[])m_magnitude.Clone();

            return new NetBigInteger(m_sign * val.m_sign, Divide(mag, val.m_magnitude), true);
        }