/// <summary>
/// Function to division very large positive or negative numbers.
/// </summary>
/// <param name="num1"></param>
/// <param name="num2"></param>
/// <returns></returns>
public static ArbitraryLong Division(ArbitraryLong num1, ArbitraryLong num2)
{
if (num2.number[0] == 0 && num2.number.Count == 1)
{
throw new DivideByZeroException();
}
if (CompareAbs(num1, num2) < 1)
{
return(new ArbitraryLong("0"));
}
if (num1.mark == Mark.Plus && num2.mark == Mark.Plus ||
num1.mark == Mark.Minus && num2.mark == Mark.Minus)
{
return(DivisionAbs(num1, num2));
}
else
{
ArbitraryLong result = DivisionAbs(num1, num2);
result.mark = Mark.Minus;
return(result);
}
}
private static ArbitraryLong DivisionAbs(ArbitraryLong num1, ArbitraryLong num2)
{
if (num2.number.Count == 1 && num2.number[0] == 0)
{
throw new DivideByZeroException();
}
num1.mark = Mark.Plus;
num2.mark = Mark.Plus;
string result = "";
int n = num1.number.Count;
int m = num2.number.Count;
ArbitraryLong remainder = new ArbitraryLong("0");
result += DividePart(new ArbitraryLong(num1.number.Skip(num1.number.Count - m).Take(m).ToList()), num2, ref remainder);
num1.number.Reverse();
for (int i = m; i < n; i++)
{
ArbitraryLong newRemainder = new ArbitraryLong(TrimLeadingZeros(remainder.ToString() + num1.number[i]));
result += DividePart(newRemainder, num2, ref remainder);
}
return(new ArbitraryLong(ArbitraryLong.TrimLeadingZeros(result)));
}
public ArbitraryLong(string number)
{
if (number == "")
{
number = "0";
}
if (!(regex.IsMatch(number) ||
regex.IsMatch(number.Substring(1)) && ((number[0] == '-') || (number[0] == '+'))))
{
throw new Exception("Please enter numbers only .");
}
if (number == "")
{
this.number.Add(0);
}
else
{
if (number[0] == '-')
{
this.mark = Mark.Minus;
this.number = ArbitraryLong.StringToBytes(number.Substring(1));
}
else
{
this.number = ArbitraryLong.StringToBytes(number);
}
}
}
private static int Compare(ArbitraryLong num1, ArbitraryLong num2)
{
if (num1.number.SequenceEqual(num2.number) && (num1.mark == num2.mark))
{
return(0);
}
else if (num1.mark == Mark.Plus && num2.mark == Mark.Plus)
{
return(CompareAbs(num1, num2));
}
else if (num1.mark == Mark.Plus && num2.mark == Mark.Minus)
{
return(1);
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Plus)
{
return(1);
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Minus)
{
return(CompareAbs(num2, num1));
}
else
{
return(0);
}
}
private static int CompareAbs(ArbitraryLong num1, ArbitraryLong num2)
{
if (num1.number.Count > num2.number.Count)
{
return(1);
}
else if (num1.number.Count < num2.number.Count)
{
return(-1);
}
else
{
for (int i = num1.number.Count - 1; i >= 0; i--)
{
if (num1.number[i] > num2.number[i])
{
return(1);
}
else if (num1.number[i] < num2.number[i])
{
return(-1);
}
}
return(1);
}
}
/// <summary>
/// Function to subtraction very large positive or negative numbers.
/// </summary>
/// <param name="num1"></param>
/// <param name="num2"></param>
/// <returns></returns>
public static ArbitraryLong Subtraction(ArbitraryLong num1, ArbitraryLong num2)
{
if (num1.mark == Mark.Plus && num2.mark == Mark.Plus && CompareAbs(num1, num2) == 1)
{
//+//Subtraction
return(SubtractAbs(num1, num2));
}
else if (num1.mark == Mark.Plus && num2.mark == Mark.Plus && CompareAbs(num1, num2) == -1)
{
//-//Subtraction
ArbitraryLong result = SubtractAbs(num2, num1);
result.mark = Mark.Minus;
return(result);
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Plus && CompareAbs(num1, num2) == 1)
{
///-///addition
ArbitraryLong result = AdditionAbs(num1, num2);
result.mark = Mark.Minus;
return(result);
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Plus && CompareAbs(num1, num2) == -1)
{
//-//addition
ArbitraryLong result = AdditionAbs(num2, num1);
result.mark = Mark.Minus;
return(result);
}
else if (num1.mark == Mark.Plus && num2.mark == Mark.Minus && CompareAbs(num1, num2) == 1)
{
//+//addition
ArbitraryLong result = AdditionAbs(num1, num2);
result.mark = Mark.Plus;
return(result);
}
else if (num1.mark == Mark.Plus && num2.mark == Mark.Minus && CompareAbs(num1, num2) == -1)
{
//+//addition
ArbitraryLong result = AdditionAbs(num2, num1);
result.mark = Mark.Plus;
return(result);
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Minus && CompareAbs(num1, num2) == 1)
{
//-//Subtraction
ArbitraryLong result = SubtractAbs(num1, num2);
result.mark = Mark.Minus;
return(result);
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Minus && CompareAbs(num1, num2) == -1)
{
//+//Subtraction
ArbitraryLong result = SubtractAbs(num2, num1);
result.mark = Mark.Plus;
return(result);
}
return(SubtractAbs(num1, num2));
}
public static ArbitraryLong Parse(string number)
{
ArbitraryLong arbitraryLong = new ArbitraryLong(StringToBytes(number));
if (number.Length > 0 && number[0] == '-')
{
arbitraryLong.mark = Mark.Minus;
}
return(arbitraryLong);
}
/// <summary>
/// Function to multiplication very large positive or negative numbers.
/// </summary>
/// <param name="num1"></param>
/// <param name="num2"></param>
/// <returns></returns>
public static ArbitraryLong Multiplication(ArbitraryLong num1, ArbitraryLong num2)
{
if (num1.mark == Mark.Plus && num2.mark == Mark.Plus && CompareAbs(num1, num2) == 1)
{
//+//Multiplication
return(MultiplicationAbs(num1, num2));
}
else if (num1.mark == Mark.Plus && num2.mark == Mark.Plus && CompareAbs(num1, num2) == -1)
{
//+//Multiplication
return(MultiplicationAbs(num2, num1));
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Plus && CompareAbs(num1, num2) == 1)
{
//-//Multiplication
ArbitraryLong result = MultiplicationAbs(num1, num2);
result.mark = Mark.Minus;
return(result);
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Plus && CompareAbs(num1, num2) == -1)
{
//-//Multiplication
ArbitraryLong result = MultiplicationAbs(num2, num1);
result.mark = Mark.Minus;
return(result);
}
else if (num1.mark == Mark.Plus && num2.mark == Mark.Minus && CompareAbs(num1, num2) == 1)
{
//-//Multiplication
ArbitraryLong result = MultiplicationAbs(num1, num2);
result.mark = Mark.Minus;
return(result);
}
else if (num1.mark == Mark.Plus && num2.mark == Mark.Minus && CompareAbs(num1, num2) == -1)
{
//-//Multiplication
ArbitraryLong result = MultiplicationAbs(num2, num1);
result.mark = Mark.Minus;
return(result);
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Minus && CompareAbs(num1, num2) == 1)
{
//+//Multiplication
return(MultiplicationAbs(num1, num2));
}
else if (num1.mark == Mark.Minus && num2.mark == Mark.Minus && CompareAbs(num1, num2) == -1)
{
//+//Multiplication
return(MultiplicationAbs(num2, num1));
}
return(MultiplicationAbs(num1, num2));
}
private static ArbitraryLong MultiplicationAbs(ArbitraryLong num1, ArbitraryLong num2)
{
ArbitraryLong result = new ArbitraryLong("0");
for (int i = 0; i < num2.number.Count; i++)
{
ArbitraryLong singleMultiplication = MultiplyWithSingleDigit(num1.number, num2.number[i]);
//add zeros at end
for (int j = 0; j < i; j++)
{
singleMultiplication.number.Insert(0, 0);
}
result = ArbitraryLong.AdditionAbs(singleMultiplication, result);
}
return(result);
}
private static byte DividePart(ArbitraryLong num1, ArbitraryLong num2, ref ArbitraryLong remainder)
{
if (num2.number[0] == 0 && num2.number.Count == 1)
{
throw new DivideByZeroException();
}
byte result = 0;
while (num1.number.ToString() != "0" && num1.mark != Mark.Minus && CompareAbs(num1, num2) == 1)
{
num1 = ArbitraryLong.Subtraction(num1, num2);
if (num1.mark == Mark.Plus)
{
result++;
}
}
remainder = new ArbitraryLong(num1.number);
return(result);
}
private static ArbitraryLong SubtractAbs(ArbitraryLong num1, ArbitraryLong num2)
{
byte n = (byte)num1.number.Count;
byte m = (byte)num2.number.Count;
//Begin Addition
byte shorterNumber = Math.Min(m, n);
byte longerNumber = Math.Max(m, n);
int naum = 0;
int[] result = new int[longerNumber + 1];
//Add matching numbers
for (int i = 0; i < shorterNumber; i++)
{
if (num1.number[i] > num2.number[i])
{
result[i] = num1.number[i] - num2.number[i] + naum;
naum = 0;
}
else if (num1.number[i] < num2.number[i])
{
result[i] = (num1.number[i] + 10) - num2.number[i] + naum;
naum = -1;
}
else
{
if (naum == -1)
{
result[i] = (num1.number[i] + 10) - num2.number[i] + naum;
}
else
{
result[i] = 0;
}
}
}
if (n == longerNumber)
{
for (int i = shorterNumber; i < longerNumber; i++)
{
if (num1.number[i] == 0)
{
result[i] = 0 + naum;
}
else
{
result[i] = num1.number[i] + naum;
naum = 0;
}
}
}
else
{
for (int i = shorterNumber - 1; i < longerNumber; i++)
{
if (num1.number[i] == 0)
{
result[i] = 0 + naum;
}
else
{
result[i] = num1.number[i] + naum;
naum = 0;
}
}
}
//Convert int[] to string
string output = "";
foreach (int x in result)
{
output += x;
}
//return revirsed string
return(new ArbitraryLong(TrimLeadingZeros(Reverse(output))));
}
private static ArbitraryLong AdditionAbs(ArbitraryLong num1, ArbitraryLong num2)
{
//Convert the two numbers to array of shorts
byte n = (byte)num1.number.Count;
byte m = (byte)num2.number.Count;
//Begin Addition
byte shorterNumber = Math.Min(m, n);
byte longerNumber = Math.Max(m, n);
byte naum = 0;
int[] result = new int[longerNumber + 1];
//Add matching numbers
for (int i = 0; i < shorterNumber; i++)
{
if (num1.number[i] + num2.number[i] < 10)
{
result[i] = num1.number[i] + num2.number[i] + naum;
naum = 0;
if (result[i] == 10)
{
result[i] = 0;
naum = 1;
}
}
else
{
result[i] = (num1.number[i] + num2.number[i]) % 10 + naum;
naum = 1;
}
}
if (num1.number.Count == num2.number.Count)
{
if (naum == 1)
{
result[result.Length - 1] = 1;
}
}
//Add remaining numbers
if (n == longerNumber)
{
for (int i = shorterNumber; i < longerNumber; i++)
{
if (num1.number[i] + naum == 10)
{
result[i] = 0;
naum = 1;
}
else
{
result[i] = num1.number[i] + naum;
naum = 0;
}
}
}
else if (m == longerNumber)
{
for (int i = shorterNumber - 1; i < longerNumber; i++)
{
if (num2.number[i] + naum == 10)
{
result[i] = num1.number[i];
naum = 1;
}
else
{
result[i] = num2.number[i] + naum;
naum = 0;
}
}
}
else
{
if (naum == 1)
{
result[result.Length - 1] = 1;
}
}
//Convert int[] to string
string output = "";
foreach (int x in result)
{
output += x;
}
//return revirsed string
return(new ArbitraryLong(Reverse(output).TrimStart('0')));
}