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  1. #include <iostream>
  2. #include <cmath>
  3. using namespace std;
  4.  
  5. double f(double x)
  6. {
  7.   return cos(x);
  8. }
  9.  
  10. int main()
  11. {
  12.   double p,p0=1,eps = 0.001;
  13.   int i=1,N=1000;
  14.  
  15.   while(i <= N)
  16.   {
  17.     p = f(p0);
  18.     if(fabs(p-p0) < eps)
  19.     {
  20.       cout<<p<<endl;
  21.       break;
  22.     }
  23.     cout<<"Iteration "<<i<<": p = "<<p<<endl;
  24.     i++;
  25.     p0 = p;
  26.     cout<<"The solution is "<<p<<endl;
  27.     if(i>N)
  28.     {
  29.       cout<<"Solution not found (method diverges)"<<endl;;
  30.       break;
  31.     }
  32.   }
  33.   cout<<"The approximated solution is x = "<<p<<" in the iteration "<<i-1<<endl;
  34.  
  35.   return 0;
  36. }
Success #stdin #stdout 0s 3460KB
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stdin
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Standard input is empty
stdout
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Iteration 1: p = 0.540302
The solution is 0.540302
Iteration 2: p = 0.857553
The solution is 0.857553
Iteration 3: p = 0.65429
The solution is 0.65429
Iteration 4: p = 0.79348
The solution is 0.79348
Iteration 5: p = 0.701369
The solution is 0.701369
Iteration 6: p = 0.76396
The solution is 0.76396
Iteration 7: p = 0.722102
The solution is 0.722102
Iteration 8: p = 0.750418
The solution is 0.750418
Iteration 9: p = 0.731404
The solution is 0.731404
Iteration 10: p = 0.744237
The solution is 0.744237
Iteration 11: p = 0.735605
The solution is 0.735605
Iteration 12: p = 0.741425
The solution is 0.741425
Iteration 13: p = 0.737507
The solution is 0.737507
Iteration 14: p = 0.740147
The solution is 0.740147
Iteration 15: p = 0.738369
The solution is 0.738369
Iteration 16: p = 0.739567
The solution is 0.739567
0.73876
The approximated solution is x = 0.73876 in the iteration 16
https://ideone.com/YWgAH3
language:
C++14 (gcc 8.3)
created:
8 years ago
visibility:
public

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