Imagine you're a student studying mathematics and you want to verify complex number arithmetic calculations for your homework assignment. You use this in the C program by Defining the structure "Complex" then the Function to add two complex numbers to perform the addition and the Function to multiply two complex numbers to perform the multiplication of complex numbers. The program computes their product, and you examine the result, again displayed as a complex number. Finally, You analyze the computed results to verify whether they match your manual calculations. If they match, you gain confidence in your understanding of complex number arithmetic. If not, you can further investigate to identify any mistakes. Input details for Complex Number 1 (real imag) Input details for Complex Number 2 (real imag) then display Sum of Complex Numbers: Product of Complex Numbers sample input: 10 5 2 3 sample output: 12.00 + 8.00i 5.00 + 40.00i code in c language
Question
Imagine you're a student studying mathematics and you want to verify complex number arithmetic calculations for your homework assignment. You use this in the C program by Defining the structure "Complex" then the Function to add two complex numbers to perform the addition and the Function to multiply two complex numbers to perform the multiplication of complex numbers. The program computes their product, and you examine the result, again displayed as a complex number. Finally, You analyze the computed results to verify whether they match your manual calculations. If they match, you gain confidence in your understanding of complex number arithmetic. If not, you can further investigate to identify any mistakes.
Input details for Complex Number 1 (real imag)
Input details for Complex Number 2 (real imag)
then display
Sum of Complex Numbers:
Product of Complex Numbers
sample input:
10 5
2 3
sample output:
12.00 + 8.00i
5.00 + 40.00i
code in c language
Solution
Here is a simple C program that performs the operations you described:
#include <stdio.h>
typedef struct Complex {
float real;
float imag;
} Complex;
Complex add(Complex n1, Complex n2) {
Complex temp;
temp.real = n1.real + n2.real;
temp.imag = n1.imag + n2.imag;
return temp;
}
Complex multiply(Complex n1, Complex n2) {
Complex temp;
temp.real = n1.real * n2.real - n1.imag * n2.imag;
temp.imag = n1.imag * n2.real + n1.real * n2.imag;
return temp;
}
int main() {
Complex n1, n2, result;
printf("For 1st complex number \n");
printf("Enter real and imaginary part respectively:\n");
scanf("%f %f", &n1.real, &n1.imag);
printf("\nFor 2nd complex number \n");
printf("Enter real and imaginary part respectively:\n");
scanf("%f %f", &n2.real, &n2.imag);
result = add(n1, n2);
printf("Sum = %.2f + %.2fi\n", result.real, result.imag);
result = multiply(n1, n2);
printf("Product = %.2f + %.2fi", result.real, result.imag);
return 0;
}
This program first defines a structure Complex to hold the real and imaginary parts of a complex number. It then defines two functions add and multiply to perform addition and multiplication of complex numbers, respectively. In the main function, it asks the user to input two complex numbers, performs the addition and multiplication, and then prints the results.
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