private eeNumber IntegerDivision(eeNumber divisor, out eeNumber mod)
{
// base case
if (this.AbsoluteValue() < divisor.AbsoluteValue())
{
mod = this;
return(new eeNumber(0));
}
Queue <byte> bytesQue = new Queue <byte>(this.bytes); // a queue of the dividend as bytes
List <eeNumber> quotient = new List <eeNumber>(); // quotient
eeNumber divPart = null;
while (bytesQue.Count() > 0)
{
/* Grab the next digit from dividend */
var asList = divPart == null ? new List <byte>() : divPart.bytes.ToList();
var nextByte = bytesQue.Dequeue();
asList.Add(nextByte);
/* Keep grabbing until we run out or need more */
divPart = new eeNumber(asList);
while (bytesQue.Count() != 0 && divPart < divisor)
{
quotient.Add(new eeNumber(0));
asList.Add(bytesQue.Dequeue());
divPart = new eeNumber(asList);
divPart.TrimZeros();
}
divPart.TrimZeros();
/* Divide it and append the division to the quotient */
eeNumber q = new eeNumber(1); // number of times divisor fits into this divPart
while (divisor * q <= divPart)
{
q += ONE;
}
q -= ONE;
quotient.Add(q); // keep track of quotient
/* Figure out the remainder*/
divPart = divPart - (divisor * q);
}
// remainder
mod = divPart;
var intergerQuotient = new eeNumber(quotient);
intergerQuotient.TrimZeros();
return(intergerQuotient);
}
// Warning: Subtraction will destroy the contents of num2 and set the contents of num1 to the result
// Make sure to pass a copy of num2 if you are keeping its value
public static eeNumber operator -(eeNumber num1_orig, eeNumber num2_orig)
{
eeNumber num1 = num1_orig.Copy(),
num2 = num2_orig.Copy();
// If either number is a fraction, cross multiply
if (num1.IsFrac() || num2.IsFrac())
{
eeNumber frac1 = num1.PopDenominator(),
frac2 = num2.PopDenominator();
num1 *= frac2;
num2 *= frac1;
var ret = (num1 - num2) / (frac1 * frac2);
ret.TrimZeros();
ret.Simplify();
return(ret);
}
// if the two nums are the same
if (num1 == num2)
{
return(ZERO.Copy());
}
// if first num is negative
else if (num1.negative && !num2.negative)
{
// add them then negate it
num1.negative = false;
var sum = num1 + num2;
sum.negative = true;
return(sum);
}
// if second num is negative
else if (num2.negative && !num1.negative)
{
// minus and negatives cancel
num2.negative = false;
return(num1 + num2);
}
// If they're both negative
else if (num1.negative && num2.negative)
{
// Treat this as adding a negative to a positive
num2.negative = false;
return(num1 + num2);
}
// If we're going to get a negative answer
bool negate = false;
if (num2 > num1)
{
// reverse the two
var buf = num1;
num1 = num2;
num2 = buf;
// and negate
negate = true;
}
// Reverse because we're subtracting from right to left.
byte[] l_bytes = num1.bytes.Reverse().ToArray(),
r_bytes = num2.bytes.Reverse().ToArray();
bool carry = false;
int i;
for (i = 0; i < r_bytes.Length; i++)
{
// Account for the previous carry
if (carry)
{
r_bytes[i]++;
carry = false;
}
// Subtract the digits
byte digitDiff;
if (l_bytes[i] < r_bytes[i]) // account for carry
{
digitDiff = (byte)((10 + l_bytes[i]) - r_bytes[i]);
carry = true;
}
else
{
digitDiff = (byte)(l_bytes[i] - r_bytes[i]);
}
// Set the digit
l_bytes[i] = digitDiff;
}
// If there is still carry left
while (carry)
{
// subtract one from the next value
if (l_bytes[i] == 0)
{
l_bytes[i] = 9;
i++;
}
else
{
l_bytes[i] -= 1;
carry = false;
}
}
// Put it in order again
l_bytes = l_bytes.Reverse().ToArray();
num1.bytes = l_bytes;
num1.negative = negate;
num1.TrimZeros();
return(num1);
}