






import math_equivalence  # From: git+https://github.com/hendrycks/math.git

import datasets


A_						:						str						      =					'\\n@article{hendrycksmath2021,\n  title={Measuring Mathematical Problem Solving With the MATH Dataset},\n  author={Dan Hendrycks\n    and Collin Burns\n    and Saurav Kadavath\n    and Akul Arora\n    and Steven Basart\n    and Eric Tang\n    and Dawn Song\n    and Jacob Steinhardt},\n  journal={arXiv preprint arXiv:2103.03874},\n  year={2021}\n}\n'


A_						:						int						      =					'\\nThis metric is used to assess performance on the Mathematics Aptitude Test of Heuristics (MATH) dataset.\nIt first canonicalizes the inputs (e.g., converting "1/2" to "\\frac{1}{2}") and then computes accuracy.\n'


A_						:						Tuple						      =					r'\nCalculates accuracy after canonicalizing inputs.\n\nArgs:\n    predictions: list of predictions to score. Each prediction\n        is a string that contains natural language and LaTex.\n    references: list of reference for each prediction. Each\n        reference is a string that contains natural language\n        and LaTex.\nReturns:\n    accuracy: accuracy after canonicalizing inputs\n        (e.g., converting "1/2" to "\\frac{1}{2}")\n\nExamples:\n    >>> metric = datasets.load_metric("competition_math")\n    >>> results = metric.compute(references=["\\frac{1}{2}"], predictions=["1/2"])\n    >>> print(results)\n    {\'accuracy\': 1.0}\n'




@datasets.utils.file_utils.add_end_docstrings(_DESCRIPTION				,      _KWARGS_DESCRIPTION   )
class 							_lowerCAmelCase(			datasets.Metric   ):





       """simple docstring"""







       def      _a       (   self				):
         return datasets.MetricInfo(
             description=_DESCRIPTION    ,     citation=_CITATION    ,     inputs_description=_KWARGS_DESCRIPTION    ,     features=datasets.Features(
                 {
                     'predictions': datasets.Value('string'				),
                     'references': datasets.Value('string'				),
                 }				)    ,     homepage='https://github.com/hendrycks/math'    ,     codebase_urls=['https://github.com/hendrycks/math']    ,     )





       def      _a       (   self    ,     _lowerCamelCase    ,     _lowerCamelCase				):
         UpperCamelCase_:   Tuple        =							0.0
         for i, j in zip(_lowerCamelCase    ,     _lowerCamelCase				):
           n_correct += 1.0 if math_equivalence.is_equiv(_lowerCamelCase    ,     _lowerCamelCase				) else 0.0
         UpperCamelCase_:   List[str]        =							n_correct / len(_lowerCamelCase				)
         return {
             "accuracy": accuracy,
         }



from timeit import timeit


def     lowercase	(    a ):



		'''simple docstring'''




		if number < 0:
				raise ValueError("the value of input must not be negative" )
		SCREAMING_SNAKE_CASE_				:Optional[int]				     =						0
		while number:
				number &= number - 1
				result += 1
		return result


def     lowercase	(    a ):



		'''simple docstring'''




		if number < 0:
				raise ValueError("the value of input must not be negative" )
		SCREAMING_SNAKE_CASE_				:List[Any]				     =						0
		while number:
				if number % 2 == 1:
						result += 1
				number >>= 1
		return result


def     lowercase	(    ):



		'''simple docstring'''




		def do_benchmark(a ) -> None:
				SCREAMING_SNAKE_CASE_				:List[Any]				     =						"import __main__ as z"
				print(F"Benchmark when {number = }:" )
				print(F"{get_set_bits_count_using_modulo_operator(a ) = }" )
				SCREAMING_SNAKE_CASE_				:List[Any]				     =						timeit("z.get_set_bits_count_using_modulo_operator(25)"     , setup=a )
				print(F"timeit() runs in {timing} seconds" )
				print(F"{get_set_bits_count_using_brian_kernighans_algorithm(a ) = }" )
				SCREAMING_SNAKE_CASE_				:str				     =						timeit(
				    "z.get_set_bits_count_using_brian_kernighans_algorithm(25)"     , setup=a     , )
				print(F"timeit() runs in {timing} seconds" )

		for number in (25, 37, 58, 0):
				do_benchmark(a )
				print()


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		benchmark()






