#include <iostream>
#include "bigint.h"
using namespace std;

// illustrates loop and integer overflow
// displays a table of factorials between 0 and an input number

BigInt Factorial(int num);

int main()
{    
    int highValue;	  // variable to store the upper bounf for the factorial table
    int current = 0;  // compute factorial of this value

	cout << "Enter the number up to which factorials will be calculated: ";
	cin >> highValue;
    
    while (current <= highValue)
    {   
        cout << current << "! = " << Factorial(current) << endl;
        current += 1;
    }

    return 0;
}

BigInt Factorial(int num)
// precondition: num >= 0
// postcondition returns num!
{
    BigInt product = 1;
    int count = 0;

    while (count < num)        
    {   
        count += 1;
        product *= count;
    }

    return product;
}