diff --git a/numerical_methods/midpoint_integral_method.cpp b/numerical_methods/midpoint_integral_method.cpp
index 253b07c0d..4bd9fc5c9 100644
--- a/numerical_methods/midpoint_integral_method.cpp
+++ b/numerical_methods/midpoint_integral_method.cpp
@@ -1,11 +1,11 @@
 /**
  * @file
  * @brief A numerical method for easy [approximation of
- * integrals](https://en.wikipedia.org/wiki/Midpoint_method) 
- * @details The idea is to split the interval into N of intervals and use as interpolation points
- * the xi for which it applies that xi = x0 + i*h, where h is a step defined as
- * h = (b-a)/N where a and b are the first and last points of the interval of
- * the integration [a, b].
+ * integrals](https://en.wikipedia.org/wiki/Midpoint_method)
+ * @details The idea is to split the interval into N of intervals and use as
+ * interpolation points the xi for which it applies that xi = x0 + i*h, where h
+ * is a step defined as h = (b-a)/N where a and b are the first and last points
+ * of the interval of the integration [a, b].
  *
  * We create a table of the xi and their corresponding f(xi) values and we
  * evaluate the integral by the formula: I = h * {f(x0+h/2) + f(x1+h/2) + ... +
@@ -18,8 +18,8 @@
  *
  * @author [ggkogkou](https://github.com/ggkogkou)
  */
-#include <cassert>  /// for assert
-#include <cmath>    /// for math functions
+#include <cassert>     /// for assert
+#include <cmath>       /// for math functions
 #include <cstdlib>     /// for std::atof
 #include <functional>  /// for std::function
 #include <iostream>    /// for IO operations
@@ -47,7 +47,7 @@ namespace midpoint_rule {
 double midpoint(const int N, const double h, const double a,
                 const std::function<double(double)>& func) {
     std::map<int, double>
-            data_table;  // Contains the data points, key: i, value: f(xi)
+        data_table;  // Contains the data points, key: i, value: f(xi)
     double xi = a;   // Initialize xi to the starting point x0 = a
 
     // Create the data table
@@ -105,25 +105,29 @@ static void test(int N, double h, double a, double b,
                  bool used_argv_parameters) {
     // Call midpoint() for each of the test functions f, g, k, l
     // Assert with two decimal point precision
-    double result_f = numerical_methods::midpoint_rule::midpoint(N, h, a, numerical_methods::midpoint_rule::f);
+    double result_f = numerical_methods::midpoint_rule::midpoint(
+        N, h, a, numerical_methods::midpoint_rule::f);
     assert((used_argv_parameters || (result_f >= 4.09 && result_f <= 4.10)) &&
            "The result of f(x) is wrong");
     std::cout << "The result of integral f(x) on interval [" << a << ", " << b
               << "] is equal to: " << result_f << std::endl;
 
-    double result_g = numerical_methods::midpoint_rule::midpoint(N, h, a, numerical_methods::midpoint_rule::g);
+    double result_g = numerical_methods::midpoint_rule::midpoint(
+        N, h, a, numerical_methods::midpoint_rule::g);
     assert((used_argv_parameters || (result_g >= 0.27 && result_g <= 0.28)) &&
            "The result of g(x) is wrong");
     std::cout << "The result of integral g(x) on interval [" << a << ", " << b
               << "] is equal to: " << result_g << std::endl;
 
-    double result_k = numerical_methods::midpoint_rule::midpoint(N, h, a, numerical_methods::midpoint_rule::k);
+    double result_k = numerical_methods::midpoint_rule::midpoint(
+        N, h, a, numerical_methods::midpoint_rule::k);
     assert((used_argv_parameters || (result_k >= 9.06 && result_k <= 9.07)) &&
            "The result of k(x) is wrong");
     std::cout << "The result of integral k(x) on interval [" << a << ", " << b
               << "] is equal to: " << result_k << std::endl;
 
-    double result_l = numerical_methods::midpoint_rule::midpoint(N, h, a, numerical_methods::midpoint_rule::l);
+    double result_l = numerical_methods::midpoint_rule::midpoint(
+        N, h, a, numerical_methods::midpoint_rule::l);
     assert((used_argv_parameters || (result_l >= 7.16 && result_l <= 7.17)) &&
            "The result of l(x) is wrong");
     std::cout << "The result of integral l(x) on interval [" << a << ", " << b
@@ -141,10 +145,10 @@ int main(int argc, char** argv) {
     /// MUST BE EVEN
     double a = 1, b = 3;  /// Starting and ending point of the integration in
     /// the real axis
-    double h = NAN;       /// Step, calculated by a, b and N
+    double h = NAN;  /// Step, calculated by a, b and N
 
     bool used_argv_parameters =
-            false;  // If argv parameters are used then the assert must be omitted
+        false;  // If argv parameters are used then the assert must be omitted
     // for the test cases
 
     // Get user input (by the command line parameters or the console after