Multiple Runs

main.cpp

@@ -1,6 +1,7 @@
 #include <iostream>
 #include <random>
 #include <chrono>
+#include <vector>
 
 float lowerX = 0;
 float upperX = 20;
@@ -113,21 +114,29 @@ int main() {
     auto startTime = std::chrono::high_resolution_clock::now();
     double pointsInside = 0;
     double samples = 10000000;
+    std::vector<double> listOfErrors;
+    std::vector<double> listOfIntegrals;
     Bounds bounds = Bounds(LinearBounds(lowerX, upperX), LinearBounds(getLowerLimit(), getUpperLimit()));
+    double real_value = getRealIntegral(bounds.get_x());
     Point toTestPoint;
-    for (int i = 0; i< samples; i++) {
-        toTestPoint = bounds.getRandomPoint();
-        if (getIsInside(toTestPoint)) {
-            pointsInside++;
+    for(int i = 0; i< 20; i++) {
+        for (int ii = 0; ii< samples; ii++) {
+            toTestPoint = bounds.getRandomPoint();
+            if (getIsInside(toTestPoint)) {
+                pointsInside++;
+            }
         }
+        listOfErrors.push_back(std::abs(real_value-(pointsInside/samples))); listOfIntegrals.push_back(pointsInside/samples);
+        pointsInside = 0;
     }
 
+
     std::cout << std::fixed;
     std::cout.precision(5);
     double integral = (pointsInside / samples) * bounds.area();
     std::cout << "The approximated Integral of the function is: " << integral << "\n";
 
-    double real_value = getRealIntegral(bounds.get_x());
+
     std::cout << "The real Integral of the function is: " << real_value << "\n";
 
     double error = std::abs(real_value-integral);
@@ -135,7 +144,15 @@ int main() {
     std::chrono::duration<double> duration = std::chrono::duration_cast<std::chrono::duration<double>>(std::chrono::high_resolution_clock::now()-startTime);
     std::cout << "And the whole thing took " << duration.count() << " Seconds for ";
     std::cout.precision(0);
-    std::cout << samples << " samples";
+    std::cout << samples << " samples" << "\n";
+
+    std::cout.precision(20);
+    for(double m : listOfIntegrals) {
+        std::cout << m << "\n";
+    }
+    for(double m : listOfErrors) {
+        std::cout << m << "\n";
+    }
     return 0;
 }