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  1. #include <iostream>
  2. #include <iostream>
  3. #include <iomanip>
  4. #include <cmath>
  5. using namespace std;
  6.  
  7. double f(double x)
  8. {
  9.     return x * x * x - 4; 
  10. }
  11.  
  12. int main()
  13. {
  14.     double x0, x1, x2, f0, f1, f2;
  15.     int maxi;
  16.     double t;
  17.  
  18.     cout << "Enter the value of x0: ";
  19.     cin >> x0;
  20.     cout << "Enter the value of x1: ";
  21.     cin >> x1;
  22.     cout << "Enter maximum iterations: ";
  23.     cin >> maxi;
  24.     cout << "Enter tolerance (e.g., 0.0001): ";
  25.     cin >> t;
  26.  
  27.     f0 = f(x0);
  28.     f1 = f(x1);
  29.  
  30.     if (f0 * f1 > 0) {
  31.         cout << "\nInvalid interval!.\n";
  32.         return 0;
  33.     }
  34.  
  35.     cout << "\n-------------------------------------------------------------";
  36.     cout << "\nIteration\t x0\t\t x1\t\t x2\t\t f0\t\t f1\t\t f2";
  37.     cout << "\n-------------------------------------------------------------\n";
  38.  
  39.     int i = 1;
  40.     while (i <= maxi) {
  41.         x2 = x0 - (f0 * (x1 - x0)) / (f1 - f0);
  42.         f2 = f(x2);
  43.  
  44.         cout << fixed << setprecision(6);
  45.         cout << setw(3) << i << "\t"
  46.              << x0 << "\t" << x1 << "\t" << x2 << "\t"
  47.              << f0 << "\t" << f1 << "\t" << f2 << endl;
  48.  
  49.         if (fabs(f2) < t) { 
  50.             break;
  51.         }
  52.  
  53.         if (f0 * f2 < 0) {
  54.             x1 = x2;
  55.             f1 = f2;
  56.         } else {
  57.             x0 = x2;
  58.             f0 = f2;
  59.         }
  60.  
  61.         i++;
  62.     }
  63.  
  64.     cout << "\nApproximate root = " << x2 << endl;
  65.     return 0;
  66. }
Success #stdin #stdout 0s 5328KB
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Enter the value of x0: Enter the value of x1: Enter maximum iterations: Enter tolerance (e.g., 0.0001): 
Invalid interval!.
https://ideone.com/Ev4OfW
language:
C++ (gcc 8.3)
created:
11 days ago
visibility:
public

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