Question

Write a C program that computes Pi with the approximation algorithm that I introduced in class. I want you to write the program in two different ways:

• The first version will add up the first 28284277 elements of the approximation series in a simple for loop. I ask you to put the code into a function with this signature: float get_pi_for(void);
• The second version will break out of a while loop depending on whether a pair of adjacent elements (remember that we always consider a positive element and its adjacent negative right neighbor) is smaller than a certain threshold. I ask you to use the threshold 0.00000000000001. Please put the code of this version into a function with the signature float get_pi_while(void);

Put both functions into a file called pi.c. Also write a corresponding header file that has symbolic constants for both the number of LOOPS to be run as well as for the THRESHOLD value.

Finally, write a file main.c that contains the driver, which will print out pi twice calling the two different functions. I want you to call get_pi_for() first, then call  get_pi_while().

I want to run the following code and give me

• A screen shot of a run of your driver with the exact numbers for LOOPS and THRESHOLD given above

Code is here

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Question: What to do Write a C program that computes Pi with the approximation algorithm that I introduced ...

What to do

Write a C program that computes Pi with the approximation algorithm that I introduced in class. I want you to write the program in two different ways:

• The first version will add up the first 28284277 elements of the approximation series in a simple for loop. I ask you to put the code into a function with this signature: float get_pi_for(void);
• The second version will break out of a while loop depending on whether a pair of adjacent elements (remember that we always consider a positive element and its adjacent negative right neighbor) is smaller than a certain threshold. I ask you to use the threshold 0.00000000000001. Please put the code of this version into a function with the signature float get_pi_while(void);

Put both functions into a file called pi.c. Also write a corresponding header file that has symbolic constants for both the number of LOOPS to be run as well as for the THRESHOLD value.

Finally, write a file main.c that contains the driver, which will print out pi twice calling the two different functions. I want you to call get_pi_for() first, then call  get_pi_while().

What to submit

here is code but it not running correctly plz answer code file with screenshot

• All three code files
• A screen shot of a run of your driver with the exact numbers for LOOPS and THRESHOLD given above
• I donot know how to compile more than 1 file having link

//compile program in following order

//Header file

//pi.h

# define threshold 0.00000000000001
float get_pi_for();
float get_pi_while();

//pi.c

# include <stdlib.h>
# include <stdio.h>
# include <limits.h>
#include"pi.h"

float get_pi_for(){
double pi = 0;
unsigned long index = 1;
  
double temp = 0;
  
while (temp - threshold)
{
  
temp += ((4.0/index) - (4.0/index+2));
  
index += 4;
}
pi = temp;
return pi;
}

float get_pi_while(){
double pi = 0;
unsigned long index = 1;
  
int sign = 1;
  
while (index < 28284277)
{
  
pi += 4.0/index * sign;
sign *= -1;
index += 2;
}
return pi;
}

//main.c

#include"pi.c"

int main(){
printf("Value of pi using for loop is %f\n",get_pi_for());
printf("Value of pi using while loop is %f\n",get_pi_while());
return ;
}

Answer 1