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Add Disarium number checker implementation (#13529)
* Add Disarium number checker implementation Introduces is_disarium_number function to check if a number is a Disarium number, including input validation and doctests for various cases. * updating DIRECTORY.md * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * updating DIRECTORY.md * Clarify Disarium number definition in comments Updated the definition of a Disarium number for clarity. --------- Co-authored-by: ArunKishoreVoleti <ArunKishoreVoleti@users.noreply.github.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: cclauss <cclauss@users.noreply.github.com>
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‎DIRECTORY.md‎

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* Lstm
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* [Lstm Prediction](machine_learning/lstm/lstm_prediction.py)
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* [Mfcc](machine_learning/mfcc.py)
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* [Mini Batch Gradient Descent](machine_learning/mini_batch_gradient_descent.py)
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* [Multilayer Perceptron Classifier](machine_learning/multilayer_perceptron_classifier.py)
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* [Polynomial Regression](machine_learning/polynomial_regression.py)
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* [Principle Component Analysis](machine_learning/principle_component_analysis.py)
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* [Q Learning](machine_learning/q_learning.py)
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* [Random Forest Classifier](machine_learning/random_forest_classifier.py)
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* [Random Forest Regressor](machine_learning/random_forest_regressor.py)
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* [Scoring Functions](machine_learning/scoring_functions.py)
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* [Bell Numbers](maths/special_numbers/bell_numbers.py)
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* [Carmichael Number](maths/special_numbers/carmichael_number.py)
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* [Catalan Number](maths/special_numbers/catalan_number.py)
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* [Disarum Number](maths/special_numbers/disarum_number.py)
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* [Hamming Numbers](maths/special_numbers/hamming_numbers.py)
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* [Happy Number](maths/special_numbers/happy_number.py)
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* [Harshad Numbers](maths/special_numbers/harshad_numbers.py)

‎maths/special_numbers/disarum_number.py‎

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"""
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A number n is said to be a Disarium number if the sum of its digits raised to
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their respective positions equals the number itself.
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Examples of Disarium Numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 89, 135, 175, 518, 598, ...
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https://rosettacode.org/wiki/Disarium_numbers
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"""
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def is_disarium_number(number: int) -> bool:
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"""
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This function takes an integer number as input.
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Returns True if the number is a Disarium number.
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>>> is_disarium_number(-1)
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False
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>>> is_disarium_number(0)
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False
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>>> is_disarium_number(1)
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True
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>>> is_disarium_number(89)
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True
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>>> is_disarium_number(135)
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True
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>>> is_disarium_number(175)
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True
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>>> is_disarium_number(518)
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True
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>>> is_disarium_number(598)
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True
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>>> is_disarium_number(123)
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False
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>>> is_disarium_number(89.0)
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Traceback (most recent call last):
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...
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TypeError: Input value of [number=89.0] must be an integer
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"""
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if not isinstance(number, int):
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msg = f"Input value of [number={number}] must be an integer"
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raise TypeError(msg)
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if number < 1:
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return False
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digits = str(number)
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total = sum(int(digit) ** (idx + 1) for idx, digit in enumerate(digits))
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return total == number
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if __name__ == "__main__":
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import doctest
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doctest.testmod()

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