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Task/Monte-Carlo-methods/Euler/monte-carlo-methods.euler
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Task/Monte-Carlo-methods/Euler/monte-carlo-methods.euler
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>function map MonteCarloPI (n,plot=false) ...
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$ X:=random(1,n);
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$ Y:=random(1,n);
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$ if plot then
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$ plot2d(X,Y,>points,style=".");
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$ plot2d("sqrt(1-x^2)",color=2,>add);
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$ endif
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$ return sum(X^2+Y^2<1)/n*4;
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$endfunction
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>MonteCarloPI(10^(1:7))
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[ 3.6 2.96 3.224 3.1404 3.1398 3.141548 3.1421492 ]
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>pi
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3.14159265359
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>MonteCarloPI(10000,true):
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