Question

You can also obtain the absolute value for a complex number using the following formula: $|a + bi| = \sqrt{a^2 + b^2}$ (A complex number can be interpreted as a point on a plane by identifying the (a,b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin, as shown in Figure 13.10b.) Design a class named \texttt{Complex} for representing complex numbers and the methods \texttt{add}, \texttt{subtract}, \texttt{multiply}, \texttt{divide}, and \texttt{abs} for performing complex- number operations, and override \texttt{toString} method for returning a string repre- sentation for a complex number. The \texttt{toString} method returns $(a + bi)$ as a string. If $b$ is 0, it simply returns $a$. Your \texttt{Complex} class should also implement the \texttt{Cloneable} interface. Provide three constructors \texttt{Complex(a, b)}, \texttt{Complex(a)}, and \texttt{Complex()}. \texttt{Complex()} creates a \texttt{Complex} object for number 0 and \texttt{Complex(a)} cre- ates a \texttt{Complex} object with 0 for $b$. Also provide the \texttt{getRealPart} and \texttt{getImaginaryPart} methods for returning the real and imaginary part of the complex number, respectively. Write a test program that prompts the user to enter two complex numbers and displays the result of their addition, subtraction, multiplication, division, and abso- lute value. Here is a sample run: Enter the first complex number: 3.5 5.5 Enter Enter the second complex number: -3.5 1 Enter $(3.5 + 5.5i) + (-3.5 + 1.0i) = 0.0 + 6.5i$ $(3.5 + 5.5i) - (-3.5 + 1.0i) = 7.0 + 4.5i$ $(3.5 + 5.5i) * (-3.5 + 1.0i) = -17.75 + -13.75i$ $(3.5 + 5.5i) / (-3.5 + 1.0i) = -0.5094 + -1.7i$ $|3.5 + 5.5i| = 6.519202405202649

          You can also obtain the absolute value for a complex number using the following
formula:
$|a + bi| = \sqrt{a^2 + b^2}$
(A complex number can be interpreted as a point on a plane by identifying the (a,b)
values as the coordinates of the point. The absolute value of the complex number
corresponds to the distance of the point to the origin, as shown in Figure 13.10b.)
Design a class named \texttt{Complex} for representing complex numbers and the
methods \texttt{add}, \texttt{subtract}, \texttt{multiply}, \texttt{divide}, and \texttt{abs} for performing complex-
number operations, and override \texttt{toString} method for returning a string repre-
sentation for a complex number. The \texttt{toString} method returns $(a + bi)$ as a
string. If $b$ is 0, it simply returns $a$. Your \texttt{Complex} class should also implement the
\texttt{Cloneable} interface.
Provide three constructors \texttt{Complex(a, b)}, \texttt{Complex(a)}, and \texttt{Complex()}.
\texttt{Complex()} creates a \texttt{Complex} object for number 0 and \texttt{Complex(a)} cre-
ates a \texttt{Complex} object with 0 for $b$. Also provide the \texttt{getRealPart} and
\texttt{getImaginaryPart} methods for returning the real and imaginary part of the
complex number, respectively.
Write a test program that prompts the user to enter two complex numbers and
displays the result of their addition, subtraction, multiplication, division, and abso-
lute value. Here is a sample run:
Enter the first complex number: 3.5 5.5 Enter
Enter the second complex number: -3.5 1 Enter
$(3.5 + 5.5i) + (-3.5 + 1.0i) = 0.0 + 6.5i$
$(3.5 + 5.5i) - (-3.5 + 1.0i) = 7.0 + 4.5i$
$(3.5 + 5.5i) * (-3.5 + 1.0i) = -17.75 + -13.75i$
$(3.5 + 5.5i) / (-3.5 + 1.0i) = -0.5094 + -1.7i$
$|3.5 + 5.5i| = 6.519202405202649

You can also obtain the absolute value for a complex number using the following
formula:
|a + bi| = √(a^2 + b^2)
(A complex number can be interpreted as a point on a plane by identifying the (a,b)
values as the coordinates of the point. The absolute value of the complex number
corresponds to the distance of the point to the origin, as shown in Figure 13.10b.)
Design a class named Complex for representing complex numbers and the
methods add, subtract, multiply, divide, and abs for performing complex-
number operations, and override toString method for returning a string repre-
sentation for a complex number. The toString method returns (a + bi) as a
string. If b is 0, it simply returns a. Your Complex class should also implement the
Cloneable interface.
Provide three constructors Complex(a, b), Complex(a), and Complex().
Complex() creates a Complex object for number 0 and Complex(a) cre-
ates a Complex object with 0 for b. Also provide the getRealPart and
getImaginaryPart methods for returning the real and imaginary part of the
complex number, respectively.
Write a test program that prompts the user to enter two complex numbers and
displays the result of their addition, subtraction, multiplication, division, and abso-
lute value. Here is a sample run:
Enter the first complex number: 3.5 5.5 Enter
Enter the second complex number: -3.5 1 Enter
(3.5 + 5.5i) + (-3.5 + 1.0i) = 0.0 + 6.5i
(3.5 + 5.5i) - (-3.5 + 1.0i) = 7.0 + 4.5i
(3.5 + 5.5i) * (-3.5 + 1.0i) = -17.75 + -13.75i
(3.5 + 5.5i) / (-3.5 + 1.0i) = -0.5094 + -1.7i
|3.5 + 5.5i| = 6.519202405202649

Added by Jennifer D.

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