Given two complex numbers z1 and z2. The task is to add and subtract the given complex numbers.
Addition of complex number: In Python, complex numbers can be added using + operator.
Examples:
Input: 2+3i, 4+5i Output: Addition is : 6+8i Input: 2+3i, 1+2i Output: Addition is : 3+5i
Example :
Python3
# Python program to add# two complex numbers# function that returns# a complex number after# addingdef addComplex( z1, z2): return z1 + z2# Driver's codez1 = complex(2, 3)z2 = complex(1, 2)print( "Addition is : ", addComplex(z1, z2)) |
Output:
Addition is : (3+5j)
Time Complexity: O(1)
Auxiliary Space: O(1)
Subtraction of complex numbers: Complex numbers in Python can be subtracted using – operator.
Examples:
Input: 2+3i, 4+5i Output: Subtraction is : -2-2i Input: 2+3i, 1+2i Output: Subtraction is : 1+1i
Example :
Python3
# Python program to subtract# two complex numbers# function that returns# a complex number after# subtractingdef subComplex( z1, z2): return z1-z2# driver programz1 = complex(2, 3)z2 = complex(1, 2)print( "Subtraction is : ", subComplex(z1, z2)) |
Output:
Subtraction is : (1+1j)
Time Complexity: O(1)
Auxiliary Space: O(1)
Approach#3: Using to different functions
Algorithm
1.Read the two complex numbers from the user.
2.Define a function to add two complex numbers.
3.Define a function to subtract two complex numbers.
4.Call the two functions with the two complex numbers as arguments.
5.Print the results.
Python3
# Define a function to add two complex numbersdef complex_addition(num1, num2): return num1 + num2# Define a function to subtract two complex numbersdef complex_subtraction(num1, num2): return num1 - num2# Read the two complex numbers from the usernum1 = complex(2, 3)num2 = complex(1, 2)# Call the two functions with the two complex numbers as argumentsaddition = complex_addition(num1, num2)subtraction = complex_subtraction(num1, num2)# Print the resultsprint("Addition is :", addition)print("Subtraction is :", subtraction) |
Addition is : (3+5j) Subtraction is : (1+1j)
Time Complexity: O(1) (constant time complexity for addition and subtraction of complex numbers)
Auxiliary Space: O(1) (constant space complexity as we are using only two variables)
