Create FalsePositionMethod.cpp

FalsePositionMethod.cpp

@@ -0,0 +1,59 @@
+#include <iostream>
+#include <cmath>
+using namespace std;
+
+// Function for which we want to find the root
+double fx(double x) {
+    return (x * x * x) - (2 * x) - 5; // Example: f(x) = x^3 - 2x - 5
+}
+
+// Implementing the False Position Method
+double falsi(double x0, double x1, int maxitr, float e) {
+    if (fx(x0) * fx(x1) > 0) {
+        cout<<"Wrong guess values."<<endl;
+        return 0;
+    }
+
+    double x2;
+    for (int i = 0; i < maxitr; i++) {
+        // Calculate the new approximation using the False Position formula
+        x2 = x0 - ((x1 - x0) * fx(x0)) / (fx(x1) - fx(x0));
+
+        // Print the current iteration and the value of x2
+        cout << "Iteration " << i + 1 << " x2 = " << x2 << " fx(x2) = " << fx(x2) << endl;
+
+        // Check if the result is within the desired tolerance
+        // fabs() function is in <cmath> file whis gives |absolute| value 
+        if (fabs(fx(x2)) <= e) {
+            cout << "The root is: " << x2 << endl;
+            return x2;
+        }
+
+        // Update x0 or x1 based on the sign of f(x2)
+        if (fx(x2) * fx(x0) < 0)
+            x1 = x2;
+        else
+            x0 = x2;
+    }
+
+    cout << "The method did not converge after " << maxitr << " iterations." << endl;
+    return 0;
+}
+
+int main() {
+    double x0, x1;
+    int maxitr;
+    float e = 0.0001; // Tolerable error
+
+    cout << "Enter first guess value (x0): " << endl;
+    cin >> x0;
+    cout << "Enter second guess value (x1): " << endl;
+    cin >> x1;
+    cout << "Enter the number of iterations: " << endl;
+    cin >> maxitr;
+
+    // Call the false position method
+    falsi(x0, x1, maxitr, e);
+
+    return 0;
+}