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adding matlab implementation to monte carlo integration #696

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Merged
merged 3 commits into from
May 24, 2020
Merged

adding matlab implementation to monte carlo integration #696

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b4b5606
adding matlab implementation to monte carlo integration
foldsters May 11, 2020
fb83c6a
having monte carlo function return estimate
foldsters May 24, 2020
27cf91f
adding newline to last print statement
foldsters May 24, 2020
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21 changes: 21 additions & 0 deletions contents/monte_carlo_integration/code/matlab/monte.m
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@@ -0,0 +1,21 @@
pi_estimate = monte_carlo(10000000);

fprintf("The pi estimate is: %f\n", pi_estimate);
fprintf("Percent error is: %f%%", 100 * abs(pi_estimate - pi) / pi);
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Changes added!

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Just one thing, can you add a newline after Percent error is?


function pi_estimate=monte_carlo(n)

% a 2 by n array, rows are xs and ys
xy_array = rand(2, n);

% square every element in the array
squares_array = xy_array.^2;

% sum the xs and ys and check if it's in the quarter circle
incircle_array = sum(squares_array)<1;

% determine the average number of points in the circle
pi_estimate = 4*sum(incircle_array)/n;

end

4 changes: 4 additions & 0 deletions contents/monte_carlo_integration/monte_carlo_integration.md
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Expand Up @@ -91,6 +91,8 @@ each point is tested to see whether it's in the circle or not:
[import:2-10, lang:"bash"](code/bash/monte_carlo.bash)
{% sample lang="kotlin" %}
[import:3-3, lang:"kotlin"](code/kotlin/MonteCarlo.kt)
{% sample lang="m" %}
[import:8-15, lang:"matlab"](code/matlab/monte.m)
{% sample lang="scratch" %}
<p>
<img class="center" src="code/scratch/InCircle.svg" width="314" />
Expand Down Expand Up @@ -193,6 +195,8 @@ Feel free to submit your version via pull request, and thanks for reading!
[import, lang:"bash"](code/bash/monte_carlo.bash)
{% sample lang="kotlin" %}
[import, lang:"kotlin"](code/kotlin/MonteCarlo.kt)
{% sample lang="m" %}
[import, lang:"matlab"](code/matlab/monte.m)
{% sample lang="scratch" %}
The code snippets were taken from this [scratch project](https://scratch.mit.edu/projects/319610349)
<p>
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