Im writing a progarm to calculate PI and my problem is c++ rounds everything in division so i have an endless answer of "3" ive done seprecsision for cout statement and that is fine but i need to fix the division my equation is PI = 4-4/3+4/5-4/7+4/9-4/11+4/13-4/15...
Here is my actual math part of my script:
Cal = 4/Odd;
Odd += 2;
Calc -= Cal;
Cal = 4/Odd;
Odd += 2;
Calc += Cal;
Pi = Calc;
Yes,
1) go to extended instead of double. This increases the number of bits used for the mantissa.
Then you have the problem that the mantissa is limited and the value won't change the exponent of the number 3.1415e0: At some place the number calc + 4/2n+1 can't be distinguished from calc + 4/2n+1 - 4/2n+3 with the chosen precision of your var. To reach a higher precision you have to remove the leading. Now it helps to remove some known digits of pi and so changing the exponent of it. Thereby you increase the available bits for the mantissa to distinguish these numbers.
I hate to be the bearer of bad news here but you're not going to live long enough to push this to the max. PI is a transcendental irrational number and has an infinite number of digits. Using computers PI has been calculated to many millions of digits but you're unlikely to even approach that using your methods.
double is a 64 bit float,
and
float is 32 bit float.
In your above example you mix new and old style STL headers:
#include <iostream.h> // old style
#include <fstream.h> // old style
#include <iomanip> // new style
This can be dangerous. The preferred way should be only the new style (without the .h)
#include <iostream>
#include <fstream>
#include <iomanip>
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Write 4.0 to get a division on a double.
e.g.
Cal = 4.0/Odd;
Make sure all of your variebles are doubles for double precision.