Step by Step solution about How to resolve the algorithm Averages/Pythagorean means step by step in the C programming language

This C program calculates and displays the arithmetic mean (average), geometric mean, and harmonic mean of a set of numbers entered as command-line arguments. Here's a detailed explanation of the code:

1. Header Files:

   • The program includes the necessary header files:
     • <stdio.h> for input and output.
     • <stdlib.h> for the atoi() function, which converts a string to an integer.
     • <math.h> for the pow() function, which calculates powers.

2. Main Function:

   • The main function is the entry point of the program. It takes two arguments:
     • argc: The number of command-line arguments, including the program name.
     • argv[]: An array of strings representing the command-line arguments.

3. Variable Declarations:

   • i: Loop counter.
   • count: Stores the count of numbers entered.
   • f: Double-precision floating-point variable to store individual numbers.
   • sum: Double-precision floating-point variable to accumulate the sum of numbers.
   • prod: Double-precision floating-point variable to accumulate the product of numbers.
   • resum: Double-precision floating-point variable to accumulate the sum of reciprocals of numbers.

4. Loop to Process Numbers:

   • The for loop iterates through the command-line arguments, starting from index 1 (skipping the program name).
   • For each argument (number):
     • It converts the string argument to a double-precision floating-point value using atof().
     • It increments the count of numbers entered (count).
     • It adds the number to the sum (sum) and multiplies it with the product (prod).
     • It also calculates the reciprocal of the number and adds it to the sum of reciprocals (resum).

5. Mean Calculations:

   • After processing all the numbers, the program calculates and prints the following mean values:
     • Arithmetic Mean: Calculated as sum / count and represents the average value of the numbers.
     • Geometric Mean: Calculated as pow(prod, (1.0/count)) and represents the nth root of the product of the numbers.
     • Harmonic Mean: Calculated as count / resum and represents the reciprocal of the arithmetic mean of the reciprocals of the numbers.

6. Output:

   • The calculated mean values are printed to the console using printf.

7. Return Statement:

   • The main function returns 0, indicating successful execution, to the operating system.

#include <stdio.h>
#include <stdlib.h> // atoi()
#include <math.h> // pow()

int main(int argc, char* argv[])
{
  int i, count=0;
  double f, sum=0.0, prod=1.0, resum=0.0;

  for (i=1; i<argc; ++i) {
    f = atof(argv[i]);
    count++;
    sum += f;
    prod *= f;
    resum += (1.0/f);
  }
  //printf(" c:%d\n s:%f\n p:%f\n r:%f\n",count,sum,prod,resum);
  printf("Arithmetic mean = %f\n",sum/count);
  printf("Geometric mean = %f\n",pow(prod,(1.0/count)));
  printf("Harmonic mean = %f\n",count/resum);

  return 0;
}