After hearing the idea of a probabilistic algorithm that is calculating pi
I decided to implement it in perl,and the following is what I obtained:
23 #
24 # pi*($d/2)**2 in circle
25 # ------------ ~ ----------- ~ pi/4
26 # $d**2 in total
27 #
28
29
30
31 use strict;
32 use warnings;
33
34 my $d = 1000;#diameter
35 my $no_total = 1000000;#number of points
36 my $no_in=0;
37
38 sub gen_xy { ( int(rand($d)),int(rand($d)) ); }
39
40 sub in_circle {
41 my ($x,$y) = @_;
42 ($x - $d/2)**2 + ($y - $d/2)**2 <= ($d/2)**2
43 ? 1
44 : 0;
45 }
46
47
48 $no_in += in_circle gen_xy
49 for 1..$no_total;
50
51 warn "Pi approx: ". ( $no_in/$no_total ) *4 ;
I'm ignoring the fact that this code is useless,it's really slow and there are
C programs which can be found through google which are able to get pi to 10000 decimals
It does confirm that pi is ~3.14 after 10 seconds of running time
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