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| julia> function monte_carlo_pi(n) | |
| p = plot(size=(400, 400), legend=false, xlims=(0, 1), ylims=(0, 1), aspect_ratio=:equal) | |
| points = Vector{Tuple{Float64, Float64}}(undef, n) | |
| is_inside = zeros(Bool, n) | |
| for i in 1:n | |
| x, y = rand(), rand() | |
| if x^2 + y^2 < 1 | |
| is_inside[i] = true | |
| end | |
| points[i] = (x, y) | |
| end | |
| inner_points = points[is_inside] | |
| outer_points = points[.!is_inside] | |
| scatter!(inner_points, label="Inside") | |
| scatter!(outer_points, label="Outside", shape=:square) | |
| plot!(x -> sqrt(1 - x^2), 0, 1, label="Circle", color=:red) | |
| inside_count = sum(is_inside) | |
| π̋ = 4 * inside_count / n | |
| title!(L"\hat{\pi} = %$π̋") | |
| end | |
| monte_carlo_pi (generic function with 1 method) | |
| julia> monte_carlo_pi(300) |
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