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  1. #include <iostream>
  2. #include <iomanip>
  3. #include <cmath>
  4. using namespace std;
  5.  
  6. double f(double x)
  7. {
  8.     return x * x * x - 4; 
  9. }
  10.  
  11. int main()
  12. {
  13.     double x0, x1, x2, f0, f1, f2;
  14.  
  15.     int maxi = 10;     
  16.     double t = 0.0001;   
  17.  
  18.     cout << "Enter the value of x0: ";
  19.     cin >> x0;
  20.     cout << "Enter the value of x1: ";
  21.     cin >> x1;
  22.  
  23.     f0 = f(x0);
  24.     f1 = f(x1);
  25.  
  26.     if (f0 * f1 > 0) {
  27.         cout << "\nInvalid interval!.\n";
  28.         return 0;
  29.     }
  30.  
  31.     cout << "\n-------------------------------------------------------------";
  32.     cout << "\nIteration\t x0\t\t x1\t\t x2\t\t f0\t\t f1\t\t f2";
  33.     cout << "\n-------------------------------------------------------------\n";
  34.  
  35.     int i = 1;
  36.     while (i <= maxi) {
  37.         x2 = x0 - (f0 * (x1 - x0)) / (f1 - f0);
  38.         f2 = f(x2);
  39.  
  40.         cout << fixed << setprecision(6);
  41.         cout << setw(3) << i << "\t"
  42.              << x0 << "\t" << x1 << "\t" << x2 << "\t"
  43.              << f0 << "\t" << f1 << "\t" << f2 << endl;
  44.  
  45.         if (fabs(f2) < t) { 
  46.             break;
  47.         }
  48.  
  49.         if (f0 * f2 < 0) {
  50.             x1 = x2;
  51.             f1 = f2;
  52.         } else {
  53.             x0 = x2;
  54.             f0 = f2;
  55.         }
  56.  
  57.         i++;
  58.     }
  59.  
  60.     cout << "\nApproximate root = " << x2 << endl;
  61.     return 0;
  62. }
  63.  
Success #stdin #stdout 0.01s 5320KB
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stdout
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Enter the value of x0: Enter the value of x1: 
Invalid interval!.
https://ideone.com/9TZJHc
language:
C++ (gcc 8.3)
created:
11 days ago
visibility:
public

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