}//dnc(uint)
/**
* Method Name: main <br>
* Method Purpose:driver for project 2 <br>
*
* <hr>
* Date created: 10/15/2015 <br>
*
* <hr>
* Notes on specifications, special algorithms, and assumptions:
* is the main entry point for and accepts user input
*
* <hr>
* @param string[] args
* @return void
*/
static void Main(string[] args)
{
int input = 0;
string strInput;
bool loop = true;
while (loop)
{
Console.WriteLine("Please enter any whole number: ");
strInput = Console.ReadLine();
if (Int32.TryParse(strInput, out input))
{
loop = false;
}
}
UInt Z = new UInt((uint)input);
//VL = new UInt(999999999);
//VL.Mult(10);
Stopwatch st = new Stopwatch();
st.Start();
// VL.Mult(Z);
Factorial((uint)input);
st.Stop();
Console.WriteLine("Time used: {0} secs", st.Elapsed.TotalMilliseconds / 1000);
VL.toString();
Console.ReadLine();
} //main
}//Mult(uint)
/**
* Method Name: Mult <br>
* Method Purpose: multiplies very large UInt's <br>
*
* <hr>
* Date created: 10/15/2015 <br>
*
* <hr>
* Notes on specifications, special algorithms, and assumptions:
* multiplies numbers together and accounts for overflow
*
* <hr>
* @param long that UInt is multiplied by
* @return None
*/
public void Mult(long l)
{
uint[] carries = new uint[count + 2];
UInt Z;
long product;
for (int i = 0; i < count + 1; i++)
{
if (x[i] == 0)
{
continue;
}
product = checked (l * x[i]); //mulitiplies numbers together and checks for overflow
if (product < max)
{
x[i] = (uint)product;
}
else
{
x[i] = UInt32.Parse(product.ToString().Substring(product.ToString().Length - 9, 9)); //finds last 9 digits and sets to x[i]
product = UInt32.Parse(product.ToString().Substring(0, product.ToString().Length - 9)); //finds remaining digits and sets it to product
carries[i + 1] = (uint)product; //stores carry for adding to next slot
if (count < i + 1) //checks to see count is correct and sets it accordingly
{
count = i + 1;
}
}
}
Z = new UInt(carries); //moves carries into another UInt
Add(Z); //adds UInt to main UInt
}//Mult(long)
} //Add(uint)
/**
* Method Name: Mult <br>
* Method Purpose: multiplies very large UInt's <br>
*
* <hr>
* Date created: 10/15/2015 <br>
*
* <hr>
* Notes on specifications, special algorithms, and assumptions:
* multiplies numbers together and accounts for overflow
*
* <hr>
* @param UInt that is to be multiplied by
* @return None
*/
public void Mult(UInt z)
{
UInt[] toAdd = new UInt[count * 200];
long l;
long zeros = 0;
int index = 0;
for (int i = 0; i < z.getCount(); i++)
{
for (int ii = 0; ii < 9; ii++)
{
l = UInt32.Parse(z.getX()[i].ToString("D9").Substring(8 - ii, 1));
if (l == 0)
{
zeros += 1;
continue;
}
else
{
toAdd[index] = new UInt(Seperate(l, zeros)); //(long)(l * Math.Pow(10, zeros)
index += 1;
}
zeros += 1;
}
}
for (int i = 0; i < count + 1; i++)
{
setX(i, 0);
}
for (int i = 0; i < index; i++)
{
Add(toAdd[i]);
}
}//Mult(uint)
}//UInt(uint)
public UInt(UInt uIn)
{
count = uIn.getCount();
for (int i = 0; i < count + 1; i++)
{
x[i] = uIn.getX()[i];
}
}//UInt(UInt)
}//incCount
/**
* Method Name: Add <br>
* Method Purpose: Adds very large UInt's <br>
*
* <hr>
* Date created: 10/15/2015 <br>
*
* <hr>
* Notes on specifications, special algorithms, and assumptions:
* Adds numbers together and accounts for overflow
*
* <hr>
* @param UInt that is being added to sum
* @return None
*/
public void Add(UInt z)
{
long temp;
uint quot = 0;
int length = z.getCount(); //finds number of elements implemented
for (int i = 0; i < length; i++) //adds VL and z elements together
{
if (z.getX()[i] == 0)
{
continue;
}
temp = x[i] + z.getX()[i];
if (temp >= max) //checks for overflow
{
quot = (uint)(temp / max); //removes carry and adds it to next element over
x[i + 1] += quot;
x[i] = (uint)(temp - (quot * max));
if (count <= i)
{
count = i + 1;
}
}//if
else
{
x[i] = (uint)temp; //no overflow
if (count <= i)
{
count = i + 1;
}
}
}//for
if (x[length] > max) //checks that carry doesn't cause next element to overflow
{
quot = (x[length] / max);
x[length + 1] += quot;
x[length] -= (quot * max);
if (count <= length)
{
count = length + 1;
}
} //if
//}//else
} //Add(uint)
/**
* Method Name: Factorial <br>
* Method Purpose: Uses Mult to find factorial of number <br>
*
* <hr>
* Date created: 10/15/2015 <br>
*
* <hr>
* Notes on specifications, special algorithms, and assumptions:
* feeds Mult a series of numbers to multiply UInt by in order to find factorial
*
* <hr>
* @param uint number to find factorial of
* @return None
*/
public static void Factorial(uint n)
{
//for(int i = 2; i < n; i++)
//{
// VL.Mult(i);
//}
UIntArr = new UInt[n / 2];
uint[] uintArr = new uint[n / 2];
uint ii = ((n / 2) + 1);
for (uint i = 0; i < n / 2; i++)
{
uintArr[i] = ii;
ii++;
}//for
ii = ((n / 2) - 1);
for (uint i = 0; i < n / 2; i++)
{
UIntArr[i] = new UInt(i + 1);
UIntArr[i].Mult(uintArr[ii]);
ii--;
}//for
int end = (int)(n / 2 - 1);
if (n % 2 == 0)
{
VL = new UInt(UIntArr[end]);
firstAdd = false;
DnC((end - 1));
}
else
{
VL.Add(UIntArr[end - 1]);
firstAdd = false;
DnC((end - 2));
}
}//factorial(uint)
}//Mult(long)
/**
* Method Name: Mult <br>
* Method Purpose: multiplies very large UInt's <br>
*
* <hr>
* Date created: 10/15/2015 <br>
*
* <hr>
* Notes on specifications, special algorithms, and assumptions:
* multiplies numbers together and accounts for overflow
*
* <hr>
* @param long that UInt is multiplied by
* @return None
*/
public UInt Seperate(long n, long zeros)
{
long product;
UInt output = new UInt();
for (int i = 0; i < count; i++)
{
UInt tempUInt = new UInt();
long tempZeros = zeros;
int index = i;
while (tempZeros > 8)
{
output.setX(i, 0);
tempZeros -= 9;
index += 1;
}
if (x[i] == 0)
{
continue;
}
if (tempZeros > 0)
{
product = (long)checked (n * x[i] * Math.Pow(10, tempZeros));
}
else
{
product = checked (n * x[i]);
}
if (product < max)
{
tempUInt.setX(index, (uint)product);
tempUInt.setCount(index + 1);
}//if
else
{
tempUInt.setX(index, UInt32.Parse(product.ToString().Substring(product.ToString().Length - 9, 9))); //finds last 9 digits and sets to x[i]
product = UInt32.Parse(product.ToString().Substring(0, product.ToString().Length - 9)); //finds remaining digits and sets it to product
if (product > max)
{
tempUInt.setX(index + 1, UInt32.Parse(product.ToString().Substring(product.ToString().Length - 9, 9)));
product = UInt32.Parse(product.ToString().Substring(0, product.ToString().Length - 9));
tempUInt.setX(index + 2, (uint)product);
if (tempUInt.getCount() < index + 3) //checks to see count is correct and sets it accordingly
{
tempUInt.setCount(index + 3);
}
}//if
else
{
tempUInt.setX(index + 1, (uint)product); //stores carry for adding to next slot
if (tempUInt.getCount() < index + 2) //checks to see count is correct and sets it accordingly
{
tempUInt.setCount(index + 2);
}
} //else
} //else
output.Add(tempUInt);
}
return(output);
}//Mult(long)
