Created
March 14, 2013 21:39
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Estimating pi by simulation of Buffon's needle. Pure functional version in OCaml.
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| (* estimating pi by monte carlo and buffon's needle *) | |
| let mc_pi ~repeats = | |
| let halfpi = asin 1.0 in | |
| let rec loop i crosses = | |
| if i = 0 then crosses | |
| else | |
| let x = Random.float 1.0 in | |
| let theta = Random.float halfpi in | |
| if x <= (0.5 *. (sin theta)) then loop (i-1) (crosses+1) | |
| else loop (i-1) crosses in | |
| let crosses = loop repeats 0 in | |
| (float repeats) /. (float crosses) |
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