modifying function to return its value and print outside

Author: foldsters

contents/monte_carlo_integration/code/matlab/monte.m

@@ -0,0 +1,20 @@
+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);
+
+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
+

contents/monte_carlo_integration/monte_carlo_integration.md

@@ -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:7-14, lang:"matlab"](code/matlab/monte.m)
 {% sample lang="scratch" %}
 <p>
     <img  class="center" src="code/scratch/InCircle.svg" width="314" />
@@ -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>