Design a flow chart based on this C++ code #include<stdio.h> #include<math.h> #d

Question

Design a flow chart based on this C++ code

#include<stdio.h>
#include<math.h>
#define PI 3.14159265
const int k = 20;

struct DFT_Coefficient {
   double real, img;
};

int main(int argc, char **argv) {
   const int N = 10;
   float a, b, c;
   int i, j;
   struct DFT_Coefficient dft_val[k];
   double cosine[N];
   double sine[N];

   printf("Discrete Fourier Transform using naive method ");
   printf("Enter the coefficient of simple linear function: ");
   printf("ax + by = c ");
   scanf_s("%f", &a);
   scanf_s("%f", &b);
   scanf_s("%f", &c);
   double function[N];
   for (i = 0; i < N; i++) {
       function[i] = (((a * (double)i) + (b * (double)i)) - c);
       //System.out.print( " "+function[i] + " ");
   }
   for (i = 0; i < N; i++) {
       cosine[i] = cos((2 * i * k * PI) / N);
       sine[i] = sin((2 * i * k * PI) / N);
   }

   printf("The coefficients are: ");
   for (j = 0; j < k; j++) {
       for (i = 0; i < N; i++) {
           dft_val[j].real += function[i] * cosine[i];
           dft_val[j].img += function[i] * sine[i];
       }
       printf("( %e ) - ( %e i) ", dft_val[j].real, dft_val[j].img);
   }
   return 0;
}

Explanation / Answer

Solution:-

First of all please note that we have run this entire program and we got output as and flow chart is also shown below:-

Flow chart structure is as follows. Please just put it in box and flow chart is all ready.

1) Start

2) const no. N= 10;

3) Let the iniitial numbers are a, b, c, i and j

4)  double cosine constant value N &  double sine constant value N

5)   If i < N ----> YES then
       function[i] = (((a * (double)i) + (b * (double)i)) - c)

cosine[i] = cos((2 * i * k * PI) / N)

sine[i] = sin((2 * i * k * PI) / N)

Then coefficients are -----

6)  If j < k and i <N then

val[j] real= function[i] * cosine[i];
val[j] img = function[i] * sine[i];

7) If above is true then  printf("val[j] real, val[j] img)

Otherwise

8) Value is zero

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