public static eeNumber operator *(eeNumber num1_orig, eeNumber num2_orig)
{
eeNumber num1 = num1_orig.Copy(),
num2 = num2_orig.Copy();
// if either num is 0, return 0
if (num1 == ZERO || num2 == ZERO)
{
return(new eeNumber(0));
}
bool negate = false;
/* first account for negatives */
// if either num is negative
if (num1.negative ^ num2.negative)
{
// set both to non-negative to multiply them
num1.negative = false;
num2.negative = false;
// apply negative afterwards
negate = true;
}
else if (num1.negative && num2.negative)
{
// otherwise, negatives just cancel out
num1.negative = false;
num2.negative = false;
}
eeNumber final;
// if only one num is a fraction
if (num1.IsFrac() ^ num2.IsFrac())
{
eeNumber frac = num1.denominator != null ? num1 : num2,
reg = num1.denominator != null ? num2 : num1;
var den = frac.PopDenominator();
var newNum = (frac * reg) / den;
final = newNum;
}
// if both nums are fractions
else if (num1.IsFrac() && num2.IsFrac())
{
eeNumber frac1 = num1.PopDenominator(),
frac2 = num2.PopDenominator();
final = (num1 * num2) / (frac1 * frac2);
}
// regular nums
else
{
// Reverse because we're going from right to left.
byte[] lhs = num1.bytes.Reverse().ToArray(),
rhs = num2.bytes.Reverse().ToArray();
// new digit
eeNumber finalNum = new eeNumber(0);
// foreach digit in on the top num
for (int i = 0; i < rhs.Length; i++)
{
byte carry = 0;
List <byte> product = new List <byte>();
// foreach digit in the bottom num
for (int j = 0; j < lhs.Length; j++)
{
// multiply them
byte digitProduct = (byte)(lhs[j] * rhs[i]);
if (carry != 0)
{
digitProduct += carry;
carry = 0;
}
if (digitProduct > 9)
{
carry = (byte)(digitProduct / 10);
digitProduct %= 10;
}
product.Add(digitProduct);
}
// If carry is left
if (carry != 0)
{
product.Add(carry);
}
product.Reverse();
// Add the needed amount of trailing zeros for place value
for (int z = 0; z < i; z++)
{
product.Add(0);
}
finalNum += new eeNumber(product.ToArray());
}
final = finalNum;
}
final.negative = negate;
return(final);
}
public static eeNumber operator /(eeNumber num1_orig, eeNumber num2_orig)
{
/* eeNumbers do not perform traditional division. That is only done
* when the number needs to be approximated for a text representation.
* For divison, we always keep the fractional form for arbitrary accuracy.
*/
eeNumber num1 = num1_orig.Copy(),
num2 = num2_orig.Copy();
if (num2 == ZERO)
{
throw new DivisionByZeroError(num1);
}
bool negate = false;
/* first, account for negatives */
// if either num is negative
if (num1.negative ^ num2.negative)
{
// set both to non-negative to multiply them
num1.negative = false;
num2.negative = false;
// apply negative afterwards
negate = true;
}
else if (num1.negative && num2.negative)
{
// otherwise, negatives just cancel out
num1.negative = false;
num2.negative = false;
}
/* then, divide */
bool a = num1.IsFrac(), b = num2.IsFrac();
// frac divided by num
if (a && !b)
{
num1.denominator *= num2;
num1.negative = negate;
num1.Simplify();
return(num1);
}
// num divided by num
else if (!a && !b)
{
// check if right is a factor of left
if (num1 > num2)
{
var m = num1 % num2;
if (m == ZERO)
{
return(num1 % num2);
}
}
num1.denominator = num2;
num1.negative = negate;
num1.Simplify();
return(num1);
}
// num divided by frac
else if (!a && b)
{
eeNumber numerator = num1 * num2.denominator;
eeNumber denominator = num2;
var newNum = numerator / denominator;
newNum.negative = negate;
return(newNum);
}
// frac divided by frac
else
{
var denom1 = num1.PopDenominator();
eeNumber numerator = num1 * num2.PopDenominator();
eeNumber denominator = num2 * denom1;
var newNum = numerator / denominator;
newNum.negative = negate;
return(newNum);
}
}
// 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);
}