Created
March 13, 2012 13:07
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A simple PI calculator in C#.
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using System; | |
using System.Collections.Generic; | |
using System.Linq; | |
using System.Text; | |
using System.Numerics; | |
namespace PiCalculator | |
{ | |
public class PiCalculator | |
{ | |
// Pi = 16 * arctan(1/5) - 4 * arctan(1/239) | |
public BigInteger GetPi(int digits, int iterations) | |
{ | |
return 16 * BigMath.ArcTan1OverX(5, digits).ElementAt(iterations) | |
- 4 * BigMath.ArcTan1OverX(239, digits).ElementAt(iterations); | |
} | |
} | |
public static class BigMath | |
{ | |
//arctan(x) = x - x^3/3 + x^5/5 - x^7/7 + x^9/9 - ... | |
public static IEnumerable<BigInteger> ArcTan1OverX(int x, int digits) | |
{ | |
var mag = BigInteger.Pow(10, digits); | |
var sum = BigInteger.Zero; | |
bool sign = true; | |
for (int i = 1; true; i += 2) | |
{ | |
var cur = mag / (BigInteger.Pow(x, i) * i); | |
if (sign) | |
{ | |
sum += cur; | |
} | |
else | |
{ | |
sum -= cur; | |
} | |
yield return sum; | |
sign = !sign; | |
} | |
} | |
} | |
} |
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