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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.     // Define maximum iterations and tolerance here
  16.     int maxi = 10;       // maximum number of iterations
  17.     double t = 0.0001;   // tolerance for stopping criterion
  18.  
  19.     cout << "Enter the value of x0: ";
  20.     cin >> x0;
  21.     cout << "Enter the value of x1: ";
  22.     cin >> x1;
  23.  
  24.     f0 = f(x0);
  25.     f1 = f(x1);
  26.  
  27.     if (f0 * f1 > 0) {
  28.         cout << "\nInvalid interval!.\n";
  29.         return 0;
  30.     }
  31.  
  32.     cout << "\n-------------------------------------------------------------";
  33.     cout << "\nIteration\t x0\t\t x1\t\t x2\t\t f0\t\t f1\t\t f2";
  34.     cout << "\n-------------------------------------------------------------\n";
  35.  
  36.     int i = 1;
  37.     while (i <= maxi) {
  38.         x2 = x0 - (f0 * (x1 - x0)) / (f1 - f0);
  39.         f2 = f(x2);
  40.  
  41.         cout << fixed << setprecision(6);
  42.         cout << setw(3) << i << "\t"
  43.              << x0 << "\t" << x1 << "\t" << x2 << "\t"
  44.              << f0 << "\t" << f1 << "\t" << f2 << endl;
  45.  
  46.         if (fabs(f2) < t) { 
  47.             break;
  48.         }
  49.  
  50.         if (f0 * f2 < 0) {
  51.             x1 = x2;
  52.             f1 = f2;
  53.         } else {
  54.             x0 = x2;
  55.             f0 = f2;
  56.         }
  57.  
  58.         i++;
  59.     }
  60.  
  61.     cout << "\nApproximate root = " << x2 << endl;
  62.     return 0;
  63. }
  64.  
Success #stdin #stdout 0.01s 5316KB
comments (?)
stdin 
-3
2
stdout 
Enter the value of x0: Enter the value of x1: 
-------------------------------------------------------------
Iteration	 x0		 x1		 x2		 f0		 f1		 f2
-------------------------------------------------------------
  1	-3.000000	2.000000	1.428571	-31.000000	4.000000	-1.084548
  2	1.428571	2.000000	1.550459	-1.084548	4.000000	-0.272818
  3	1.550459	2.000000	1.579162	-0.272818	4.000000	-0.061962
  4	1.579162	2.000000	1.585581	-0.061962	4.000000	-0.013740
  5	1.585581	2.000000	1.587000	-0.013740	4.000000	-0.003031
  6	1.587000	2.000000	1.587313	-0.003031	4.000000	-0.000668
  7	1.587313	2.000000	1.587382	-0.000668	4.000000	-0.000147
  8	1.587382	2.000000	1.587397	-0.000147	4.000000	-0.000032

Approximate root = 1.587397
https://ideone.com/2Y2BVw
language:
C++ (gcc 8.3)
created:
11 days ago
visibility:
public

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