

import math
from timeit import timeit


def 			_UpperCAmelCase							(		a__):

			'''simple docstring'''



			a_		:		str				    =				0
			a_		:		str				    =				abs(a__)
			while True:
						a_		:		Optional[int]				    =				n // 1_0
						digits += 1
						if n == 0:
									break
			return digits


def 			_UpperCAmelCase							(		a__):

			'''simple docstring'''



			return 1 if n == 0 else math.floor(math.log(abs(a__)       ,					1_0) + 1)


def 			_UpperCAmelCase							(		a__):

			'''simple docstring'''



			return len(str(abs(a__)))


def 			_UpperCAmelCase							(		):

			'''simple docstring'''



			from collections.abc import Callable

			def benchmark_a_function(a__       ,					a__) -> None:
						a_		:		List[str]				    =				f'''{func.__name__}({value})'''
						a_		:		Optional[Any]				    =				timeit(f'''__main__.{call}'''       ,					setup="""import __main__""")
						print(f'''{call}: {func(a__)} -- {timing} seconds''')

			for value in (2_6_2_1_4_4, 1_1_2_5_8_9_9_9_0_6_8_4_2_6_2_4, 1_2_6_7_6_5_0_6_0_0_2_2_8_2_2_9_4_0_1_4_9_6_7_0_3_2_0_5_3_7_6):
						for func in (num_digits, num_digits_fast, num_digits_faster):
									benchmark_a_function(a__       ,					a__)
						print()


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	benchmark()




from collections import namedtuple

__snake_case							:     Optional[Any] 						=	namedtuple("""from_to""", """from_ to""")

__snake_case							:     Tuple 						=	{
    """millimeter""": """mm""",
    """centimeter""": """cm""",
    """meter""": """m""",
    """kilometer""": """km""",
    """inch""": """in""",
    """inche""": """in""",  # Trailing 's' has been stripped off
    """feet""": """ft""",
    """foot""": """ft""",
    """yard""": """yd""",
    """mile""": """mi""",
}

__snake_case							:     Optional[int] 						=	{
    """mm""": from_to(0.001, 10_00),
    """cm""": from_to(0.01, 1_00),
    """m""": from_to(1, 1),
    """km""": from_to(10_00, 0.001),
    """in""": from_to(0.0254, 39.3701),
    """ft""": from_to(0.3048, 3.2_8084),
    """yd""": from_to(0.9144, 1.0_9361),
    """mi""": from_to(1609.34, 0.0_0062_1371),
}


def 			_UpperCAmelCase							(		a__       ,					a__       ,					a__):

			'''simple docstring'''



			a_		:		List[str]				    =				from_type.lower().rstrip("""s""")
			a_		:		Union[str, Any]				    =				TYPE_CONVERSION.get(a__       ,					a__)
			a_		:		Optional[int]				    =				to_type.lower().rstrip("""s""")
			a_		:		Optional[int]				    =				TYPE_CONVERSION.get(a__       ,					a__)
			if new_from not in METRIC_CONVERSION:
						a_		:		Any				    =				(
						    f'''Invalid \'from_type\' value: {from_type!r}.\n'''
						    f'''Conversion abbreviations are: {", ".join(a__)}'''
						)
						raise ValueError(a__)
			if new_to not in METRIC_CONVERSION:
						a_		:		Union[str, Any]				    =				(
						    f'''Invalid \'to_type\' value: {to_type!r}.\n'''
						    f'''Conversion abbreviations are: {", ".join(a__)}'''
						)
						raise ValueError(a__)
			return value * METRIC_CONVERSION[new_from].from_ * METRIC_CONVERSION[new_to].to


if __name__ == "__main__":
	import doctest

	doctest.testmod()


