update

Signed-off-by: Harmouch101 <mahmoudddharmouchhh@gmail.com>

Author: wiseaidev

Exercises/ex18_MonteCarlo.py

@@ -0,0 +1,18 @@
+# Pi extimation
+# Great explanation: https://brilliant.org/wiki/monte-carlo/
+
+import random, math
+
+def pi_montecarlo(a, b, n):
+    return 4 * (b -a ) * sum(math.sqrt(1 - random.uniform(a, b)**2) 
+        for i in range(n)) / n
+if __name__ == "__main__":
+    n = int(input("Enter the number of iteration: "))
+    print('|' + '-'*98 + '|')
+    print(f"|{'n':<24}|{'approximation':^24}|{'absolute error':^24}|{'relative error':^23}|")
+    print('|' + '-'*98+ '|')
+    for i in range(1,n):
+        n = 10 ** i
+        approx = pi_montecarlo( 0, 1, n)
+        error = math.pi - approx
+        print(f'|{n:<24}|{approx:^24}|{error:^24}|{abs(error)/math.pi:^23}|')