Programming Problem 4 – Complex Numbers A complex number is defined as z=a+i*b, where a is the real part, and b is the imaginary part. In other words, in order to define a complex number, we need the two floating numbers a and b. Write methods that perform for each of the following operations with complex numbers z1 = a1 + i*b1, and z2 = a2 + i*b2: • Addition: z1 + z2=(a1+a2) + i*(b1+b2) • Subtraction: z1 - z2=(a1-a2) + i*(b1-b2) • Multiplication: z1*z2 = (a1*a2 – b1*b2) + i*(a1*b2 + b1*a2) • Division: z1/z2 = (a1*a2 +b1*b2)/(a2^2 + b2^2) + i*(b1*a2 – a1*b2)/(a2^2 + b2^2) Create a test program that asks for the real and imaginary parts of two complex numbers from the user, and displays the results of the four operations, writing the formula as shown above, and replacing the a1, a2, b1 and b2 with the numbers entered by the user. Java Progra
Programming Problem 4 – Complex Numbers A complex number is defined as z=a+i*b, where a is the real part, and b is the imaginary part. In other words, in order to define a complex number, we need the two floating numbers a and b. Write methods that perform for each of the following operations with complex numbers z1 = a1 + i*b1, and z2 = a2 + i*b2: • Addition: z1 + z2=(a1+a2) + i*(b1+b2) • Subtraction: z1 - z2=(a1-a2) + i*(b1-b2) • Multiplication: z1*z2 = (a1*a2 – b1*b2) + i*(a1*b2 + b1*a2) • Division: z1/z2 = (a1*a2 +b1*b2)/(a2^2 + b2^2) + i*(b1*a2 – a1*b2)/(a2^2 + b2^2) Create a test program that asks for the real and imaginary parts of two complex numbers from the user, and displays the results of the four operations, writing the formula as shown above, and replacing the a1, a2, b1 and b2 with the numbers entered by the user. Java Progra
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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A complex number is defined as z=a+i*b, where a is the real part, and b is the imaginary part. In other words, in order to define a complex number, we need the two floating numbers a and b.
Write methods that perform for each of the following operations with complex numbers z1 = a1 + i*b1, and z2 = a2 + i*b2:
• Addition: z1 + z2=(a1+a2) + i*(b1+b2)
• Subtraction: z1 - z2=(a1-a2) + i*(b1-b2)
• Multiplication: z1*z2 = (a1*a2 – b1*b2) + i*(a1*b2 + b1*a2)
• Division: z1/z2 = (a1*a2 +b1*b2)/(a2^2 + b2^2) + i*(b1*a2 – a1*b2)/(a2^2 + b2^2)
Create a test program that asks for the real and imaginary parts of two complex numbers from the user, and displays the results of the four operations, writing the formula as shown above, and replacing the a1, a2, b1 and b2 with the numbers entered by the user.
Java Progra
Transcribed Image Text:Programming Problem 4 – Complex Numbers
A complex number is defined as z=a+i*b, where a is the real
part, and b is the imaginary part. In other words, in order to
define a complex number, we need the two floating numbers a
and b.
Write methods that perform for each of the following
operations with complex numbers zl = al + i*b1, and z2 = a2
+ i*b2:
· Addition: z1 + z2=(al+a2)+ i*(b1+b2)
• Subtraction: zl - z2=(al-a2) + i*(b1-b2)
• Multiplication: zl*z2 = (al*a2 – b1*b2) +i*(a1*b2 +
b1*a2)
• Division: z1/z2 = (al*a2 +b1*b2)/(a2^2 + b2^2) + i*
(b1*a2 – al*b2)/(a2^2 + b2^2)
Create a test program that asks for the real and imaginary parts
of two complex numbers from the user, and displays the results
of the four operations, writing the formula as shown above,
and replacing the al, a2, b1 and b2 with the numbers entered
by the user.
Grading Rubric
Task
Points
Working solution for the problem
12
Overall usage of programming best practices
Total
14
Screenshots
1
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