design and implement such a function and use it in a program called part3.c that allows someone to enter two real numbers and an epsilon value (also a real number) and reports if the two numbers are equal (+/- epsilon) or not.
If you were asked this question, how would you try to understand this question;
This is how I looked at it;
I'm asked for two real numbers and an epsilon number.
for example, 5 and 6. epsilon is then 2.
So when I compile my program, my program will do this: 5+2 and 5-2 which is 7 and 3
and 6+2 and 6-2 which is 8 and 4.
Then the result I would have program say would be: No, this is not equal.
Am I reading this right, please help
no, I don't think you are reading it correctly
Here is the logic a,b real numbers, e is some real number.
IF abs(a-b)<=e then YES
otherwise NO
Based on your description, it seems like you have misunderstood the purpose of the epsilon value. The epsilon value is used to define a range within which the two numbers are considered equal. The program should compare the absolute difference between the two numbers with the epsilon value.
Here is a step-by-step explanation of how to design and implement the function and program:
1. Start by defining the function prototype in your program:
```c
#include <stdio.h>
int compareWithEpsilon(double num1, double num2, double epsilon);
```
2. Implement the function definition:
```c
int compareWithEpsilon(double num1, double num2, double epsilon) {
double difference = num1 - num2;
if (difference >= -epsilon && difference <= epsilon) {
return 1; // Numbers are equal within epsilon range
} else {
return 0; // Numbers are not equal within epsilon range
}
}
```
3. In the main function, prompt the user to enter the two real numbers and epsilon value. Then call the `compareWithEpsilon` function to check if the numbers are equal within epsilon range:
```c
int main() {
double number1, number2, epsilon;
printf("Enter the first number: ");
scanf("%lf", &number1);
printf("Enter the second number: ");
scanf("%lf", &number2);
printf("Enter the epsilon value: ");
scanf("%lf", &epsilon);
if (compareWithEpsilon(number1, number2, epsilon)) {
printf("The numbers are equal within the epsilon range.\n");
} else {
printf("The numbers are not equal within the epsilon range.\n");
}
return 0;
}
```
By using this approach, the program will correctly compare the two numbers by considering the epsilon range.