Write a C++ program that displays characteristics of a number depending on wheth

Question

Write a C++ program that displays characteristics of a number depending on whether it is a real

or a complex number.

1.The user is asked if he wants the characteristics of a real number (choice 1) or a complex

number (choice 2).

2. The following applies to CHOICE 1:

a. Obtain a real number (whole number) from the user.

b. Display the following characteristics:

i. Integer Part

ii. Fractional Part

iii. Round: Rounding value to the next integer if the fractional part is > 0.5 else it

is approximated to the integer part of the number.

iv. Floor

v. Ceil

2. The following applies to CHOICE 2:

a. Obtain the real part of the complex number and the imaginary part of the complex

number from the user. (Ex: X + Yj => X is the real part and Y is the complex part)

b. Display the following characteristics:

i. Real Part

ii. Imaginary Part

iii. Complex conjugate: Complex conjugate is obtained by reversing the sign of

the complex part entered by the user. For ex: If X + Yj is the complex conjugate of X – Yj)

iv. Magnitude of the complex number: Formula: sqrt (X2 + Y2 )

v. Phase of the complex number, in degrees: Formula = atan (Y/X) * (180/PI)

Note: atan is a pre-defined function in cmath and PI is a const defined in cmath

Requirements:

1. You are not required to check for wrong inputs from the user. Assume right values for

Choices 1 and 2.

2. You are required to use functions (user-defined functions) for the following operations:

a. Round for choice 1

b. Magnitude for choice 2

c. Phase for choice 2

3. You are required to use pre-defined (library) functions for the following operations:

a. Floor for Choice 1

b. Ceil for Choice 1

4. For the remaining characteristics, using functions is optional.

5. Be careful about dividing by zero for a pure-complex number (X=0) while computing the

phase of the complex number. In this case, you can set the Phase of the complex number

(in degrees) to 90.

Explanation / Answer

# include using namespace std; int main() { char op; float num1, num2; cout > op; cout > num1 >> num2; switch(op) { case '+': cout

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