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Rewrite problem #1 using a static input (written into the code) of 10,000,000 iterations, the output should be written to a file named: problem1fileoutput.txt, and do not use the same type of loops as in problem #1. The file should be included as a separate attachment when uploading your work, not within the lab assignment document.

#include

#include

#define PI 3.14159265358979323846

using namespace std;

// method to return a term of Leibniz formula given the denominator and sign

double Leibniz(int denominator, int sign)

{

return sign*(1/(double)denominator);

}

int main()

{

int i, number_of_iteration;

// accepting user input

while(true)

{

cout << "Enter a number between 1000 and 100,000 to calculate pi: ";

cin >> number_of_iteration;

if(number_of_iteration >= 1000 && number_of_iteration <= 100000)

break;

cout << "Please enter number within correct range ";

}

int sign = 1;

double pi_value = 0.0;

// iterate for the given value

for(i=1; i<= number_of_iteration; i+=2)

{

// for each iteration, get leibniz value and add it

pi_value += Leibniz(i, sign);

// change sign after each term

if(sign == 1)

sign = -1;

else

sign = 1;

}

// display output

pi_value *= 4;

cout << " Number of iterations: \t\t" << number_of_iteration;

cout << " Result of Leibniz fr: \t\t" << pi_value;

cout << " Difference between both: \t" << fabs(pi_value - PI);

cout << " Error percentage: \t\t" << (fabs(pi_value - PI)/PI * 100);

}