LEARN MORE...

Home
Documents
July 2021
31
A complex number is a number in the form of a + bi, where a and b ar

A complex number is a number in the form of a + bi, where a and b ar

Content type

User Generated

Uploaded By

Nouvanixefvatu

Pages

Showing Page:

1/10

A complex number is a number in the form of a + bi, where

a and b are real numbers and i is the square root of

negative 1.

Design and create a class called Complex for representing

complex numbers. This class should have two attributes, a

and b, which represent the parts of the complex number.

This class should overload the +,-,*,/,++ and -- operators

(both prefix and suffix) to perform basic complex number

calculations according to the following formulas:

a + bi + c + di = (a+c) + (b+d)i

a + bi - (c + di) = (a-c) + (b - d)i

(a + bi)*(c + di) = (ac - bd) + (bc + ad)i

(a + bi)/(c + di) = (ac + bd)/(c^2 + d^2) + (bc - ad)i/(c^2 +

d^2)

For example, 5 + 3i + 6 + 2i = 11 + 5i

(5+3i)*(6+2i) = (5*6 - 3*2) + (3*6 + 5*2)i = 24 + 28i

++ and -- should simply add or subtract one to the real part

(a)

Provide three constructors Complex (a,b), Complex (a) and

Complex().

Complex() gives a number with a and b = 0, Complex(a)

gives a number with a set but b=0, and Complex(a,b) sets

both values. Your class should also have getRealPart()

and getImaginaryPart() methods for returning the value of

a and b respectively, as well as a method that returns the

string representation of the number (to be used for

displaying purposes later).

For the main program that will use the Complex class,

prompt the user for how many complex numbers they wish

to use. Then create an array of Complex numbers and

prompt the user for values a and b for the entire array.

Now display the entire array and ask the user which

number they would like to work with. Once the user has

selected a number, ask the user if they would like to do a

unary or binary operation. If they answer unary, prompt for

Showing Page:

2/10

++prefix, postfix++, --prefix, postfix-- and then what

number to store the result in. Then perform that operation.

If they say they want to perform a binary operation, prompt

for an operation (+,-,*,/) and then the second operand.

Lastly, ask them in which number they wish to store the

result. Perform the calculation and put the result where

they told you to put it. In your code, use overloaded

operators to do the work. This means you should

implement overloaded operators of +,-,*,/,++,--(pre and

post) and =(assignment).

If users have the following list of numbers

1) 5 + 3i

2) 2 - 4i

3) 3 + 5i

4) quit

and they select 1, then prompt them for

1) unary

2) binary

if they select 2, then ask user what type of operation

1) +

2) –

3) *

4) /

if they enter +, then redisplay the numbers and prompt

them for the second operand

1) 5 + 3i

2) 2 - 4i

3) 3 + 5i

4) quit

If they enter 2, then ask them for where to store the result.

Suppose they enter 3 for the result. Then you want to do

number 1 + number 2 and store the result in element 3.

Example: (5+3i) + (2 - 4i) and store the result in number 3

program should continue with this in a menu until the user

selects quit.

The program should deal with the divide by zero error by

Showing Page:

3/10

End of Preview - Want to read all 10 pages?

Access Now

Unformatted Attachment Preview

A complex number is a number in the form of a + bi, where a and b are real numbers and i is the square root of negative 1. Design and create a class called Complex for representing complex numbers. This class should have two attributes, a and b, which represent the parts of the complex number. This class should overload the +, -,*,/,++ and -- operators (both prefix and suffix) to perform basic complex number calculations according to the following formulas: a + bi + c + di = (a+c) + (b+d)i a + bi - (c + di) = (a-c) + (b - d)i (a + bi)*(c + di) = (ac - bd) + (bc + ad)i (a + bi)/(c + di) = (ac + bd)/(c^2 + d^2) + (bc - ad)i/(c^2 + d^2) For example, 5 + 3i + 6 + 2i = 11 + 5i (5+3i)*(6+2i) = (5*6 - 3*2) + (3*6 + 5*2)i = 24 + 28i ++ and -- should simply add or subtract one to the real part (a) Provide three constructors Complex (a,b), Complex (a) and Complex(). Complex() gives a number with a and b = 0, Complex(a) gives a number with a set but b=0, and Complex(a,b) sets both values. Your class should also have getRealPart() and getImaginaryPart() methods for returning the value of a and b respectively, as well as a method that returns the string representation of the number (to be used for displaying purposes later). For the main program that will use the Complex class, prompt the user for how many complex numbers they wish to use. Then create an array of Complex numbers and prompt the user for values a and b for the entire array. Now display the entire array and ask the user whic ...
Purchase document to see full attachment