Programming language is C++. The code for problem 2 is posted below. Show finish

Question

Programming language is C++. The code for problem 2 is posted below. Show finished code and an example of the output on PuTTY when done. Use g++ -std=c++17 -Wall -Wextra -pedantic -fsanitize=address,undefined to compile the code on PuTTY.

#include<iostream>
#include<cmath>
#include <stdlib.h>

using namespace std;

/*
Calculate cube root using Pade approximation
*/
double my_cbrt_l(double n)
{

   double numerator = (101.639 * n * n) + (207.953*n) + 29.7541;
   double denominator = (-1 * n * n *n) + (42.945* n *n) + (215.165* n) + 92.1357;

   double result = numerator / denominator;

   return result;
}

int main(void)
{

   double n;

   cout << "Pi value in my system:" << M_PI << endl;

   for (auto k : { -100,-10,-1,0,1,10,100 }) {
       n = M_PI * pow(10.0, k);
       cout << "By library function cube root of " << n << " is:" << cbrt(n) << endl;
       cout << "By Pade approximant cube root of " << n << " is:" << my_cbrt_l(n) << endl;
       cout << "====================================================" << endl;
   }
   return 0;
   try {
       return 0;
   }
   catch (exception&e) {
       cerr << "error:" << e.what() << ' ';
       keep_window_open();
       return 1;
   }
   catch (...) {
       cerr << "Oops:unknown exception! ";
       keep_window_open();
       return 2;
   }
}

3. (20 points Modify problem 2 to also print the relative error as a per cent, by adding a column. relative error per cent 100 my cbrt i(n)-cbrt(n) cbrt(n). Line up the columns using setw0, etc. Name your program hw2pr3.cpp.

Explanation / Answer

#include "std_lib_facilities_4.h"

//A function which reads in a double and outputs a square root 10 times
double my_cbrt_1(double n)
{
   //Initializing variables in the scope of the function
   double x = 1;
  
   //Repeat
   //Uses a counter to repeat the function 10 times
   for (int count = 1 ; count == 10 ; count++)
   {
       //Square root function
       //Computes square root
       x = (x + n/x)/2;
   }
  
   //Returns the value computed above
   return x;
}

int main()
{
   //Error Check
   //Runs program until it's finished or error is found
   //Goes through catch to find source of error
   //If error is found tells user of error before quitting
   try {
       //Initializing variables
       double n = 0;
       double relative_error_per_cent = 0;
  
       //Repeat
       //For a list of values, the function is computed
       for(auto k : {-100, -10, -1, 0, 1, 10, 100})
       {
           //Computes function for finding
           n = M_PI * pow(10.0, k);
          
           relative_error_per_cent = 100 * ( (my_cbrt_1(n) - cbrt(n)) / cbrt(n) );
      
           //Outputs
           //Prints values of n, square root of n and the function square root of n
           cout << "The value of n is " << n << endl
               << "The value of the square root n is " << cbrt(n) << endl
               << "The value of my square root is " << my_cbrt_1(n);
          
           cout << setw(40) << "The relative error is " << relative_error_per_cent << endl;
       }
   }
  
   catch (exception& e)
   {
       cerr << "error: " << e.what() << endl;
       return 1;
   }
   catch(...)
   {
       cerr << "Oops: unknown exception!" << endl;
       return 2;
   }
  
   return 0;
}

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