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Introduction To Python
Python is a widely-used, interpreted, object-oriented, and high-level programming language with dynamic semantics, used for general-purpose programming. It was created by Guido van Rossum, and first released on February 20, 1991.
Python is a computer programming language often used to build websites and software, automate tasks, and conduct data analysis. It is also used to create various machine learning algorithm, and helps in Artificial Intelligence. Python is a general purpose language, meaning it can be used to create a variety of different programs and isn’t specialized for any specific problems. This versatility, along with its beginner-friendliness, has made it one of the most-used programming languages today. A survey conducted by industry analyst firm RedMonk found that it was the most popular programming language among developers in 2020.
Link for the Problem – Classes Dealing with Complex Numbers in python – HackerRank Solution
Classes Dealing with Complex Numbers in python – HackerRank Solution
Problem:
For this challenge, you are given two complex numbers, and you have to print the result of their addition, subtraction, multiplication, division and modulus operations.
The real and imaginary precision part should be correct up to two decimal places.
Input Format
One line of input: The real and imaginary part of a number separated by a space.
Output Format
For two complex numbers and , the output should be in the following sequence on separate lines:
For complex numbers with non-zero real and complex part, the output should be in the following format:
Replace the plus symbol with a minus symbol when .
For complex numbers with a zero complex part i.e. real numbers, the output should be:
For complex numbers where the real part is zero and the complex part is non-zero, the output should be:
Sample Input
2 1 5 6
Sample Output
7.00+7.00i -3.00-5.00i 4.00+17.00i 0.26-0.11i 2.24+0.00i 7.81+0.00i
Concept
Python is a fully object-oriented language like C++, Java, etc. For reading about classes, refer here.
Methods with a double underscore before and after their name are considered as built-in methods. They are used by interpreters and are generally used in the implementation of overloaded operators or other built-in functionality.
__add__-> Can be overloaded for + operation
__sub__ -> Can be overloaded for - operation
__mul__ -> Can be overloaded for * operation
For more information on operator overloading in Python, refer here.
Classes Dealing with Complex Numbers in python – HackerRank Solution
import math
class Complex(object):
def __init__(self, real, imaginary):
self.real = real
self.imaginary = imaginary
def __add__(self, no):
a = self.real
b = self.imaginary
c = no.real
d = no.imaginary
return Complex(a + c, b + d)
def __sub__(self, no):
a = self.real
b = self.imaginary
c = no.real
d = no.imaginary
return Complex(a - c, b - d)
def __mul__(self, no):
a = self.real
b = self.imaginary
c = no.real
d = no.imaginary
real_mult = (a * c) - (b * d)
imag_mult = (a * d) + (b * c)
return Complex(real_mult, imag_mult)
def __truediv__(self, no):
a = self.real
b = self.imaginary
c = no.real
d = no.imaginary
real_numerator = a * c + b * d
imag_numerator = b * c - a * d
denom = c * c + d * d
real_div = real_numerator / denom
imag_div = imag_numerator / denom
return Complex(real_div, imag_div)
def mod(self):
a = self.real
b = self.imaginary
return Complex(math.sqrt(a ** 2 + b ** 2), 0)
def __str__(self):
if self.imaginary == 0:
result = '%.2f+0.00i' % (self.real)
elif self.real == 0:
if self.imaginary >= 0:
result = '0.00+%.2fi' % (self.imaginary)
else:
result = '0.00-%.2fi' % (abs(self.imaginary))
elif self.imaginary > 0:
result = '%.2f+%.2fi' % (self.real, self.imaginary)
else:
result = '%.2f-%.2fi' % (self.real, abs(self.imaginary))
return result
if __name__ == '__main__':
c = map(float, input().split())
d = map(float, input().split())
x = Complex(*c)
y = Complex(*d)
print(*map(str, [x+y, x-y, x*y, x/y, x.mod(), y.mod()]), sep='\n')
