automorphic_number.py

"""
== Automorphic Numbers ==
A number n is said to be a Automorphic number if
the square of n "ends" in the same digits as n itself.

Examples of Automorphic Numbers: 0, 1, 5, 6, 25, 76, 376, 625, 9376, 90625, ...
https://en.wikipedia.org/wiki/Automorphic_number
"""

# Author : Akshay Dubey (https://github.com/itsAkshayDubey)
# Time Complexity : O(log10n)


defis_automorphic_number(number: int) ->bool:
"""
 # doctest: +NORMALIZE_WHITESPACE
 This functions takes an integer number as input.
 returns True if the number is automorphic.
 >>> is_automorphic_number(-1)
 False
 >>> is_automorphic_number(0)
 True
 >>> is_automorphic_number(5)
 True
 >>> is_automorphic_number(6)
 True
 >>> is_automorphic_number(7)
 False
 >>> is_automorphic_number(25)
 True
 >>> is_automorphic_number(259918212890625)
 True
 >>> is_automorphic_number(259918212890636)
 False
 >>> is_automorphic_number(740081787109376)
 True
 >>> is_automorphic_number(5.0)
 Traceback (most recent call last):
 ...
 TypeError: Input value of [number=5.0] must be an integer
 """
ifnotisinstance(number, int):
msg=f"Input value of [number={number}] must be an integer"
raiseTypeError(msg)
ifnumber<0:
returnFalse
number_square=number*number
whilenumber>0:
ifnumber%10!=number_square%10:
returnFalse
number//=10
number_square//=10
returnTrue


if__name__=="__main__":
importdoctest

doctest.testmod()