Generate π to 5 decimal places
Use Gauss Legendre Algorithm
Iteration Formula is below:
y = a
a=½(a+b)
b=√by
c = c - x(a-y)2
x = 2x
| π = | (a+b)2 |
| 4c |
Start with these initial values:
a = 1
x = 1
| b = | 1 |
| √2 |
c = ¼
Generate π to 5 decimal places
Use Gauss Legendre Algorithm
y = a
a=½(a+b)
b=√by
c = c - x(a-y)2
x = 2x
| π = | (a+b)2 |
| 4c |
a = 1
x = 1
| b = | 1 |
| √2 |
c = ¼