Add tests for Perfect_Number (#10745)

* Added new tests!

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* Update maths/signum.py

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* Update maths/signum.py

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* Added NEW tests for Perfect_Number

* Update maths/special_numbers/perfect_number.py

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* Update maths/special_numbers/perfect_number.py

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maths/perfect_number.py

@@ -0,0 +1,77 @@
+"""
+== Perfect Number ==
+In number theory, a perfect number is a positive integer that is equal to the sum of
+its positive divisors, excluding the number itself.
+For example: 6 ==> divisors[1, 2, 3, 6]
+    Excluding 6, the sum(divisors) is 1 + 2 + 3 = 6
+    So, 6 is a Perfect Number
+
+Other examples of Perfect Numbers: 28, 486, ...
+
+https://en.wikipedia.org/wiki/Perfect_number
+"""
+
+
+def perfect(number: int) -> bool:
+    """
+    Check if a number is a perfect number.
+
+    A perfect number is a positive integer that is equal to the sum of its proper
+    divisors (excluding itself).
+
+    Args:
+        number: The number to be checked.
+
+    Returns:
+        True if the number is a perfect number otherwise, False.
+    Start from 1 because dividing by 0 will raise ZeroDivisionError.
+    A number at most can be divisible by the half of the number except the number
+    itself. For example, 6 is at most can be divisible by 3 except by 6 itself.
+    Examples:
+    >>> perfect(27)
+    False
+    >>> perfect(28)
+    True
+    >>> perfect(29)
+    False
+    >>> perfect(6)
+    True
+    >>> perfect(12)
+    False
+    >>> perfect(496)
+    True
+    >>> perfect(8128)
+    True
+    >>> perfect(0)
+    False
+    >>> perfect(-1)
+    False
+    >>> perfect(12.34)
+    Traceback (most recent call last):
+      ...
+    ValueError: number must an integer
+    >>> perfect("Hello")
+    Traceback (most recent call last):
+      ...
+    ValueError: number must an integer
+    """
+    if not isinstance(number, int):
+        raise ValueError("number must an integer")
+    if number <= 0:
+        return False
+    return sum(i for i in range(1, number // 2 + 1) if number % i == 0) == number
+
+
+if __name__ == "__main__":
+    from doctest import testmod
+
+    testmod()
+    print("Program to check whether a number is a Perfect number or not...")
+    try:
+        number = int(input("Enter a positive integer: ").strip())
+    except ValueError:
+        msg = "number must an integer"
+        print(msg)
+        raise ValueError(msg)
+
+    print(f"{number} is {'' if perfect(number) else 'not '}a Perfect Number.")

maths/special_numbers/perfect_number.py

@@ -14,16 +14,37 @@
 
 def perfect(number: int) -> bool:
     """
+    Check if a number is a perfect number.
+
+    A perfect number is a positive integer that is equal to the sum of its proper
+    divisors (excluding itself).
+
+    Args:
+        number: The number to be checked.
+
+    Returns:
+        True if the number is a perfect number, False otherwise.
+
+    Examples:
     >>> perfect(27)
     False
     >>> perfect(28)
     True
     >>> perfect(29)
     False
-
-    Start from 1 because dividing by 0 will raise ZeroDivisionError.
-    A number at most can be divisible by the half of the number except the number
-    itself.  For example, 6 is at most can be divisible by 3 except by 6 itself.
+    >>> perfect(6)
+    True
+    >>> perfect(12)
+    False
+    >>> perfect(496)
+    True
+    >>> perfect(8128)
+    True
+    >>> perfect(0)
+    >>> perfect(-3)
+    >>> perfect(12.34)
+    >>> perfect("day")
+    >>> perfect(["call"])
     """
     return sum(i for i in range(1, number // 2 + 1) if number % i == 0) == number