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#Python program to calculate x raised to the power n (i.e., x^n) | ||
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# Script Name : power_of_n.py | ||
# Author : Himanshu Gupta | ||
# Created : 2nd September 2023 | ||
# Last Modified : | ||
# Version : 1.0 | ||
# Modifications : | ||
# Description : Program which calculates x raised to the power of n, where x can be float number or integer and n can be positive or negative number | ||
# Example 1: | ||
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# Input: x = 2.00000, n = 10 | ||
# Output: 1024.00000 | ||
# Example 2: | ||
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# Input: x = 2.10000, n = 3 | ||
# Output: 9.26100 | ||
# Example 3: | ||
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# Input: x = 2.00000, n = -2 | ||
# Output: 0.25000 | ||
# Explanation: 2^-2 = 1/(2^2) = 1/4 = 0.25 | ||
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#Class | ||
class Solution: | ||
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def binaryExponentiation(self, x: float, n: int) -> float: | ||
if n == 0: | ||
return 1 | ||
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# Handle case where, n < 0. | ||
if n < 0: | ||
n = -1 * n | ||
x = 1.0 / x | ||
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# Perform Binary Exponentiation. | ||
result = 1 | ||
while n != 0: | ||
# If 'n' is odd we multiply result with 'x' and reduce 'n' by '1'. | ||
if n % 2 == 1: | ||
result *= x | ||
n -= 1 | ||
# We square 'x' and reduce 'n' by half, x^n => (x^2)^(n/2). | ||
x *= x | ||
n //= 2 | ||
return result | ||
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obj = Solution() #Creating object of the class Solution | ||
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#Taking inouts from the user | ||
x = float(input("Enter the base number: ")) | ||
n = int(input("Enter the power number: ")) | ||
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#calling the function using object obj to calculate the power | ||
answer = obj.binaryExponentiation(x, n) | ||
print(answer) #answer | ||
# Assign values to author and version. | ||
__author__ = "Himanshu Gupta" | ||
__version__ = "1.0.0" | ||
__date__ = "2023-09-03" | ||
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def binaryExponentiation(x: float, n: int) -> float: | ||
""" | ||
Function to calculate x raised to the power n (i.e., x^n) where x is a float number and n is an integer and it will return float value | ||
Example 1: | ||
Input: x = 2.00000, n = 10 | ||
Output: 1024.0 | ||
Example 2: | ||
Input: x = 2.10000, n = 3 | ||
Output: 9.261000000000001 | ||
Example 3: | ||
Input: x = 2.00000, n = -2 | ||
Output: 0.25 | ||
Explanation: 2^-2 = 1/(2^2) = 1/4 = 0.25 | ||
""" | ||
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if n == 0: | ||
return 1 | ||
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# Handle case where, n < 0. | ||
if n < 0: | ||
n = -1 * n | ||
x = 1.0 / x | ||
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# Perform Binary Exponentiation. | ||
result = 1 | ||
while n != 0: | ||
# If 'n' is odd we multiply result with 'x' and reduce 'n' by '1'. | ||
if n % 2 == 1: | ||
result *= x | ||
n -= 1 | ||
# We square 'x' and reduce 'n' by half, x^n => (x^2)^(n/2). | ||
x *= x | ||
n //= 2 | ||
return result | ||
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if __name__ == "__main__": | ||
print(f"Author: {__author__}") | ||
print(f"Version: {__version__}") | ||
print(f"Function Documentation: {binaryExponentiation.__doc__}") | ||
print(f"Date: {__date__}") | ||
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print() # Blank Line | ||
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print(binaryExponentiation(2.00000, 10)) | ||
print(binaryExponentiation(2.10000, 3)) | ||
print(binaryExponentiation(2.00000, -2)) | ||
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