private HugeInteger larger(HugeInteger hugeInt)
{
if (length() > hugeInt.length())
{
return(this);
}
if (hugeInt.length() > length())
{
return(hugeInt);
}
var larger = this;
for (int i = DIGITS_SIZE - 1; i >= 0; i--)
{
if (digits[i] > hugeInt.digits[i])
{
larger = this;
break;
}
else if (digits[i] < hugeInt.digits[i])
{
larger = hugeInt;
break;
}
}
return(larger);
}
public HugeInteger sum(HugeInteger hugeInt)
{
var carry = 0;
bool summing = true;
//only summing if signs equal
if (sign != hugeInt.sign)
{
summing = false;
}
var newDigits = new int[30];
var newSign = Sign.Positive;
if (summing)
{
//add from lowest index/place to highest index/place
for (int i = 0; i < DIGITS_SIZE; i++)
{
newDigits[i] = (digits[i] + hugeInt.digits[i] + carry) % 10;
carry = (digits[i] + hugeInt.digits[i] + carry) / 10;
}
newSign = sign;
}
else
{
//clone to prevent mutation of original
var clone = hugeInt.clone();
clone.sign = Sign.Positive;
return(diff(clone));
}
return(new HugeInteger(newDigits, newSign));
}
public HugeInteger mod(HugeInteger hugeInt)
{
var newSign = sign != hugeInt.sign ? Sign.Negative : Sign.Positive;
//return numerator if it is less than denominator
if (larger(hugeInt) == hugeInt)
{
var result = clone();
result.sign = newSign;
return(result);
}
else
{
//clone to prevent mutation of original
var divisor = hugeInt.clone();
divisor.sign = Sign.Positive;
//clone to prevent mutation of original
var dividend = clone();
dividend.sign = Sign.Positive;
//repeatedly subtract divisor from dividend until dividend is smaller than divisor
while (dividend.larger(divisor) != divisor)
{
dividend = dividend.diff(divisor);
}
return(dividend);
}
}
public HugeInteger div(HugeInteger hugeInt)
{
//return zero if numerator is less than denominator
if (larger(hugeInt) == hugeInt)
{
return(new HugeInteger());
}
else
{
var newSign = sign != hugeInt.sign ? Sign.Negative : Sign.Positive;
var divisor = hugeInt.clone();
divisor.sign = Sign.Positive;
var dividend = clone();
dividend.sign = Sign.Positive;
var quotient = new HugeInteger();
//repeatedly subtract divisor from dividend until dividend is smaller than divisor
while (dividend.larger(divisor) != divisor)
{
quotient = quotient.sum(Input("1"));
dividend = dividend.diff(divisor);
}
quotient.sign = newSign;
return(quotient);
}
}
public HugeInteger prod(HugeInteger hugeInt)
{
var carry = 0;
var accumulator = new HugeInteger(new int[DIGITS_SIZE], Sign.Positive);
var thisLength = length();
//Add one to length if room to account for carry
thisLength = thisLength == DIGITS_SIZE ? thisLength : thisLength + 1;
var hugeIntLength = hugeInt.length();
//Add one to length if room to account for carry
hugeIntLength = hugeIntLength == DIGITS_SIZE ? hugeIntLength : hugeIntLength + 1;
for (int i = 0; i < thisLength; i++)
{
var product = new int[DIGITS_SIZE];
var coefficientOne = digits[i];
//build an addend, partial product to be added to running sum
for (int j = 0; j < hugeIntLength; j++)
{
var coefficientTwo = hugeInt.digits[j];
var total = coefficientOne * coefficientTwo + carry;
product[i + j] = (total) % 10;
carry = total >= 10 ? total / 10 : 0;
}
//add addened, partial product to running sum
accumulator = accumulator.sum(new HugeInteger(product, Sign.Positive));
}
var newSign = sign != hugeInt.sign ? Sign.Negative : Sign.Positive;
return(new HugeInteger(accumulator.digits, newSign));
}
private HugeInteger preBorrow(HugeInteger larger, HugeInteger smaller)
{
//clone to prevent mutation of original
var largerClone = larger.clone();
for (int i = DIGITS_SIZE - 1; i >= 0; i--)
{
if (larger.digits[i] < smaller.digits[i])
{
//find index to borrow from
var greaterThanIndex = 0;
for (int p = i + 1; p < DIGITS_SIZE; p++)
{
if (largerClone.digits[p] > smaller.digits[p])
{
greaterThanIndex = p;
break;
}
}
//borrow
largerClone.digits[greaterThanIndex]--;
//distribute the borrow to intermediate indicies
for (int j = greaterThanIndex - 1; j > i; j--)
{
largerClone.digits[j] += 9;
}
//distribute borrow to digit needing it
largerClone.digits[i] += 10;
}
}
return(largerClone);
}
public static void FactorialTest()
{
var FACTORIAL = 25;
var accumulator = HugeInteger.Input("1");
for (int i = 2; i <= FACTORIAL; i++)
{
var multiplier = HugeInteger.Input(i.ToString());
accumulator = accumulator.prod(multiplier);
}
Console.WriteLine(FACTORIAL + "! = " + accumulator.toString());
}
public static void MethodTests()
{
string[,] pairs = { { "100", "7" }, { "2019", "2310" }, { "8384724", "2395" } };
for (int i = 0; i < pairs.GetLength(0); i++)
{
var hugeIntOne = HugeInteger.Input(pairs[i, 0]);
var hugeIntTwo = HugeInteger.Input(pairs[i, 1]);
var sum = hugeIntOne.sum(hugeIntTwo);
var diff = hugeIntOne.diff(hugeIntTwo);
var prod = hugeIntOne.prod(hugeIntTwo);
var div = hugeIntOne.div(hugeIntTwo);
var mod = hugeIntOne.mod(hugeIntTwo);
Console.WriteLine(hugeIntOne.toString() + " + " + hugeIntTwo.toString() + " = " + sum.toString());
Console.WriteLine(hugeIntOne.toString() + " - " + hugeIntTwo.toString() + " = " + diff.toString());
Console.WriteLine(hugeIntOne.toString() + " * " + hugeIntTwo.toString() + " = " + prod.toString());
Console.WriteLine(hugeIntOne.toString() + " / " + hugeIntTwo.toString() + " = " + div.toString());
Console.WriteLine(hugeIntOne.toString() + " % " + hugeIntTwo.toString() + " = " + mod.toString());
}
}
public HugeInteger diff(HugeInteger hugeInt)
{
//signs match so add
if (sign == Sign.Negative && hugeInt.sign == Sign.Positive)
{
//clone to prevent mutation of original
var clone = hugeInt.clone();
clone.sign = Sign.Negative;
return(sum(clone));
}
//signs match so add
if (sign == Sign.Positive && hugeInt.sign == Sign.Negative)
{
//clone to prevent mutation of original
var clone = hugeInt.clone();
clone.sign = Sign.Positive;
return(sum(clone));
}
var largest = larger(hugeInt);
var smallest = largest == this ? hugeInt : this;
//pre borrow if any digits in larger number are smaller than
//any digits in the smaller number in respective indicies
largest = preBorrow(largest, smallest);
var newDigits = new int[30];
var newSign = largest.sign;
//subtract from highest index/place to lowest index/place
for (int i = DIGITS_SIZE - 1; i >= 0; i--)
{
newDigits[i] = (largest.digits[i] - smallest.digits[i]) % 10;
}
return(new HugeInteger(newDigits, newSign));
}
public HugeInteger clone()
{
var zero = new HugeInteger();
return(sum(zero));
}
