Pi (AGM method) Calculator

Calculates circular constant Pi using the Arithmetic-geometric mean method (AGM).

method

The calculation ends when two consecutive results are the same.
The accuracy of π improves by increasing the number of digits for calculation.

In 1976, Salamin and Brent discovered the new algorithm for calculating Pi based on the Gauss’s AGM formula (1809). The algorithm is quadratically convergent and each step of the algorithm doubles the number of correct digits.

    Pi (AGM method)
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    [1]  2017/09/13 07:17   Male / 50 years old level / An engineer / Very /
    Purpose of use
    I was curious about is there some algorithm, beyond those I have already knew, for example the 9th order one, but it was not explained, unfortunately ...
    Comment/Request
    Nicely explained, the 9th order algorithm just mentioned ....
    from Keisan
    About the 9th order algorithm,
    please refer to the "Related links".
    [2]  2015/04/23 08:28   Male / 60 years old level or over / An engineer / A little /
    Purpose of use
    cross check some FORTRAN and c programs
    attempt to improve a partial differential equation solution

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