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Precise Calculation of Pi

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Submitted on: 1/1/2015 6:00:00 AM
By: Eli (from psc cd)  
Level: Beginner
User Rating: By 4 Users
Compatibility: C++ (general)
Views: 1927
 
     This code calculates an estimated value of Pi using the Leibnitz series (which is basically a power series expansion of a trigonometric function which allows to estimate Pi very well)
 

INCLUDE files:

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//**************************************
//INCLUDE files for :Precise Calculation of Pi
//**************************************
iostream.h
math.h
code:
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//**************************************
// Name: Precise Calculation of Pi
// Description:This code calculates an estimated value of Pi using the Leibnitz series (which is basically a power series expansion of a trigonometric function which allows to estimate Pi very well)
// By: Eli (from psc cd)
//
// Inputs:n/a
//
// Returns:Prints the estimated value of Pi
//
// Assumes:n/a
//
// Side Effects:n/a
//**************************************

#include <iostream.h>
#include <math.h>
#define NUM_OF_ELEMENTS 20000
int main()
{
 double pi = 0;
 // Calculating pi/4
 for (long int n = 1; n <= NUM_OF_ELEMENTS; n++)
 {
 pi += (double) pow(-1, n+1)/(2*n-1);
 }
 // Calculating pi
 pi *= 4;
 cout << "Estimated PI value (" << NUM_OF_ELEMENTS << " elements of Leibnitz series): "<< pi;
 return 0;
}


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