Pi.jl

Various ways to compute π in Julia

I collected these for fun after a remark on the Julia mailing list.

Usage

include("src/pil.jl")

In the following, n is the requested number of digits of π.

• mpfr_pi(n): divert the problem to the mpfr library
• atan_pi(n): compute π as $4 \arc \tan 1$ (probably the same as above)
• spigot_pi(n): compute π one digit at the time
• borwein2_pi(n): an algorithm from Borwein & Borwein
• borwein_1984_pi(n): another algorithm from Borwein
• `chudnovsky2_1989_pi(n): an algorithm from Chudnovsky
• gaussLegendre_pi(n): the classical algorithm
• bbp_pi(n, start): compute π in hexidecimal digits, starting at an arbitrary offset, withou using arbitrary precision math

Suggestions, improvements, etc

Are very welcome, please submit a pull request.