What I need:
Function to calculate N-th decimal digit of Pi. Example:
>>> pi_digit(1)
1
>>> pi_digit(2)
4
>>> pi_digit(3)
1
>>> pi_digit(4)
5
What did I tried:
While searching, found that code. It actually does what I need except one thing - it calculates all N digits, while I need only last. Is this possible to accomplish in efficient way? (if I just slice string for last character it wouldn't be so fast). Thanks in advance.
Why I need it:
I'm going to put that script, which would append digits to text file, onto my server and leave it for 20-30 days, and check the output.
see:
Unbounded Spigot Algorithms for the Digits of Pi
Jeremy Gibbons
The program under discussion is written in Haskell [5], a lazy functional programming language. As a secondary point of this paper, we hope to convince the reader that such languages are excellent vehicles for expressing mathematical computations, certainly when compared with other general-purpose programming languages such as Java, C, and Pascal, and arguably even when compared with computer algebra systems such as Mathematica.
https://www.cs.ox.ac.uk/jeremy.gibbons/publications/spigot.pdf
it can be implemented with pidigits
https://github.com/transmogrifier/pidigits
pidigits is avalaible through Python Package Index (PyPI) using pip.
>>> pip install --upgrade pidigits