




from __future__ import annotations

from collections.abc import Callable





def      UpperCAmelCase  (						UpperCamelCase__						,			UpperCamelCase__						,			UpperCamelCase__						,			UpperCamelCase__ = 1_00						,			)     ->     float:







				'''simple docstring'''


				__lowerCAmelCase					=  x_start
				__lowerCAmelCase					=  fnc(lowerCamelCase__   )
				__lowerCAmelCase					=  0.0

				for _ in range(lowerCamelCase__   ):
								# Approximates small segments of curve as linear and solve
								# for trapezoidal area
								__lowerCAmelCase					=  (x_end - x_start) / steps + xa
								__lowerCAmelCase					=  fnc(lowerCamelCase__   )
								area += abs(fxa + fxa   ) * (xa - xa) / 2

								# Increment step
								__lowerCAmelCase					=  xa
								__lowerCAmelCase					=  fxa
				return area


if __name__ == "__main__":





	def      UpperCAmelCase  (						UpperCamelCase__   )     ->     Union[str, Any]:







					'''simple docstring'''


					return x**3

	print("f(x) = x^3")
	print("The area between the curve, x = -10, x = 10 and the x axis is:")
	__A						:		Optional[Any]          =						10
	while i <= 100_000:
		__A						:		Union[str, Any]          =						trapezoidal_area(f, -5, 5, i)
		print(f"""with {i} steps: {area}""")
		i *= 10













from collections import namedtuple

UpperCamelCase											=      namedtuple('''from_to''', '''from_ to''')

UpperCamelCase											=      {
    '''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''',
}

UpperCamelCase											=      {
    '''mm''': from_to(0.001, 1_0_0_0),
    '''cm''': from_to(0.01, 1_0_0),
    '''m''': from_to(1, 1),
    '''km''': from_to(1_0_0_0, 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       _a   (							lowerCamelCase__ ,			lowerCamelCase__ ,			lowerCamelCase__				)  ->      float:
 lowerCamelCase_							:    List[Any]							=     from_type.lower().rstrip('s'				)
 lowerCamelCase_							:    Optional[Any]							=     TYPE_CONVERSION.get(lowerCamelCase__ ,			lowerCamelCase__				)
 lowerCamelCase_							:    List[Any]							=     to_type.lower().rstrip('s'				)
 lowerCamelCase_							:    Optional[int]							=     TYPE_CONVERSION.get(lowerCamelCase__ ,			lowerCamelCase__				)
 if new_from not in METRIC_CONVERSION:
  lowerCamelCase_							:    List[Any]							=     (
      F'Invalid \'from_type\' value: {from_type!r}.\n'
      F'Conversion abbreviations are: {", ".join(lowerCamelCase__				)}'
  )
  raise ValueError(lowerCamelCase__				)
 if new_to not in METRIC_CONVERSION:
  lowerCamelCase_							:    List[str]							=     (
      F'Invalid \'to_type\' value: {to_type!r}.\n'
      F'Conversion abbreviations are: {", ".join(lowerCamelCase__				)}'
  )
  raise ValueError(lowerCamelCase__				)
 return value * METRIC_CONVERSION[new_from].from_ * METRIC_CONVERSION[new_to].to


if __name__ == "__main__":
       import doctest

       doctest.testmod()
