Final answer:
To multiply complex numbers in C, define a Complex data type and implement a function using the formula (a + bi) * (c + di) = (ac - bd) + (ad + bc)i.
Step-by-step explanation:
The content loaded explains how to Write a C function that multiplies complex numbers. A complex number has a real part and an imaginary part. The C function will utilize this structure to perform the multiplication. The complex multiplication formula is (a + bi) * (c + di) = (ac - bd) + (ad + bc)i, where 'a' and 'b' are the real and imaginary parts of the first complex number, and 'c' and 'd' are the real and imaginary parts of the second complex number.
Example C Function
The following C function takes two complex numbers as parameters and returns their product:
typedef struct {
double real;
double imag;
} Complex;
Complex multiplyComplex(Complex num1, Complex num2) {
Complex result;
result.real = num1.real * num2.real - num1.imag * num2.imag;
result.imag = num1.real * num2.imag + num1.imag * num2.real;
return result;
}
This function defines a Complex data type with two fields: real and imag. It then implements the multiplication based on the arithmetic formula for multiplying complex numbers.