protected static int CompareUnsigned(HugeInteger a, HugeInteger b)
{
if (a.Length == b.Length)
{
return(String.Compare(a.ToString().TrimStart('-'), b.ToString().TrimStart('-')));
}
return((a.Length > b.Length) ? 1 : -1);
}
private static (HugeInteger, string) DivideBySub(HugeInteger initial, HugeInteger divided)
{
int q = 0;
ulong a, b = 0;
if (ulong.TryParse(initial.ToString(), out a) && ulong.TryParse(divided.ToString(), out b))
{
return(new HugeInteger((a % b).ToString()), (a / b).ToString());
}
HugeInteger d = new HugeInteger(divided.number, -divided.sign, true);
while (initial >= divided)
{
initial += d;
q++;
}
return(initial, q.ToString());
}
private static (string, string) Divide(HugeInteger initial, HugeInteger divided)
{
int sign = initial.sign * divided.sign; initial.sign = 1; divided.sign = 1;
if (initial < divided)
{
return("0", initial.ToString());
}
if (divided.isZero())
{
throw new DivideByZeroException();
}
if (divided.ToString() == "1")
{
return(((sign == -1) ? "-" : "") + initial.ToString(), "0");
}
int zeros = Math.Min(divided.Length - divided.ToString().TrimEnd('0').Length, initial.Length - initial.ToString().TrimEnd('0').Length);
divided = new HugeInteger(divided.ToString().Substring(0, divided.Length - zeros));
initial = new HugeInteger(initial.ToString().Substring(0, initial.Length - zeros));
HugeInteger newNumber;
string dividedNumberStr = divided.ToString();
string q, tmp, sliceI, tail; q = tmp = tail = sliceI = "";
bool first = true;
int i, count;
int lastLength = divided.Length;
while (initial >= divided)
{
i = initial.maxLength - initial.Length;
sliceI = String.Join("", initial.number.Skip(i).Take(lastLength + ((first) ? 0 : 1)));
count = (first) ? 1 : 2;
while (HugeInteger.CompareUnsigned(sliceI, dividedNumberStr) < 0)
{
if (!first)
{
q += "0";
}
sliceI = String.Join("", initial.number.Skip(i).Take(lastLength + count));
count++;
}
first = false;
(newNumber, tmp) = HugeInteger.DivideBySub(new HugeInteger(sliceI), new HugeInteger(dividedNumberStr));
q += tmp;
lastLength = newNumber.Length;
tail = String.Join("", initial.number.Skip(initial.maxLength - initial.Length + sliceI.Length).Take(initial.maxLength - (initial.maxLength - initial.Length + sliceI.Length)));
initial = new HugeInteger(newNumber.ToString() + tail);
}
if (tail != "")
{
q = q.PadRight(q.Length + tail.Length, '0');
}
return(((sign == -1) ? "-" : "") + q, initial.ToString());
}
private static (string, string) Divide(HugeInteger initial, HugeInteger divided)
{
int sign = initial.sign * divided.sign; initial.sign = 1; divided.sign = 1;
if (initial < divided)
{
return("0", initial.ToString());
}
if (divided.isZero())
{
throw new DivideByZeroException();
}
if (divided.ToString() == "1")
{
return(((sign == -1) ? "-" : "") + initial.ToString(), "0");
}
int zeros = Math.Min(divided.Length - String.Join("", divided.number).TrimStart('0').Length, initial.Length - String.Join("", initial.number).TrimStart('0').Length);
string dividedNumberStr = String.Join("", divided.number.Skip(zeros).Take(divided.Length - zeros).Reverse()).TrimStart('0');
string initialNumberStr = String.Join("", initial.number.Skip(zeros).Take(initial.Length - zeros).Reverse()).TrimStart('0');
HugeInteger newNumber;
string q, tmp, tail; q = tmp = tail = "";
bool first = true;
bool zero = true;
string sliceI;
int count;
int lastLength = divided.Length;
while (HugeInteger.CompareUnsigned(initialNumberStr, dividedNumberStr) >= 0)
{
count = (zero) ? 0 : 1;
int sliceLength = lastLength + count;
sliceI = String.Join("", initialNumberStr.Take(sliceLength));
count++;
while (HugeInteger.CompareUnsigned(sliceI, dividedNumberStr) < 0)
{
if (!first)
{
q += "0";
}
sliceI += initialNumberStr[sliceI.Length].ToString();
count++;
}
first = false;
(newNumber, tmp) = HugeInteger.DivideBySub(new HugeInteger(sliceI), divided);
zero = newNumber.isZero() ? true : false;
q += tmp;
lastLength = newNumber.Length;
tail = String.Join("", initialNumberStr.Skip(sliceI.Length).Take(initial.Length - sliceI.Length));
initialNumberStr = ((!newNumber.isZero()) ? newNumber.ToString() : "") + tail;
}
if (tail != "")
{
q = q.PadRight(q.Length + tail.Length, '0');
}
return(((sign == -1) ? "-" : "") + q, initial.ToString());
}