A-M baby

Task/Monte-Carlo-methods/MATLAB/monte-carlo-methods-1.m

@@ -0,0 +1,16 @@
+function piEstimate = monteCarloPi(numDarts)
+
+    %The square has a sides of length 2, which means the circle has radius
+    %1.
+
+    %Generate a table of random x-y value pairs in the range [0,1] sampled
+    %from the uniform distribution for each axis.
+    darts = rand(numDarts,2);
+
+    %Any darts that are in the circle will have position vector whose
+    %length is less than or equal to 1 squared.
+    dartsInside = ( sum(darts.^2,2) <= 1 );
+
+    piEstimate = 4*sum(dartsInside)/numDarts;
+
+end

Task/Monte-Carlo-methods/MATLAB/monte-carlo-methods-2.m

@@ -0,0 +1,5 @@
+function piEstimate = monteCarloPi(numDarts)
+
+    piEstimate = 4*sum( sum(rand(numDarts,2).^2,2) <= 1 )/numDarts;
+
+end

Task/Monte-Carlo-methods/MATLAB/monte-carlo-methods-3.m

@@ -0,0 +1,5 @@
+>> monteCarloPi(7000000)
+
+ans =
+
+   3.141512000000000