from __future__ import annotations

from collections.abc import Callable

def        SCREAMING_SNAKE_CASE_					(						snake_case__       ,  snake_case__       ,  snake_case__       ,  snake_case__ = 1_0_0       ,  )					->     float:
							lowerCAmelCase     		=		x_start
							lowerCAmelCase     		=		fnc(snake_case__							)
							lowerCAmelCase     		=		0.0

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

														# Increment step
														lowerCAmelCase     		=		xa
														lowerCAmelCase     		=		fxa
							return area


if __name__ == "__main__":

	def        SCREAMING_SNAKE_CASE_					(						snake_case__							)					->     List[Any]:
								return x**3

	print('''f(x) = x^3''')
	print('''The area between the curve, x = -10, x = 10 and the x axis is:''')
	lowercase__      :    Any          =     1_0
	while i <= 1_0_0_0_0_0:
		lowercase__      :    Union[str, Any]          =     trapezoidal_area(f, -5, 5, i)
		print(f'with {i} steps: {area}')
		i *= 1_0




lowercase__      :    dict[str, float]          =     {
    "kilogram": 1,
    "gram": pow(1_0, 3),
    "milligram": pow(1_0, 6),
    "metric-ton": pow(1_0, -3),
    "long-ton": 0.0_0_0_9_8_4_2_0_7_3,
    "short-ton": 0.0_0_1_1_0_2_3_1_2_2,
    "pound": 2.2_0_4_6_2_4_4_2_0_2,
    "stone": 0.1_5_7_4_7_3_1_7_2_8,
    "ounce": 3_5.2_7_3_9_9_0_7_2_3,
    "carrat": 5_0_0_0,
    "atomic-mass-unit": 6.0_22_13_66_52e26,
}

lowercase__      :    dict[str, float]          =     {
    "kilogram": 1,
    "gram": pow(1_0, -3),
    "milligram": pow(1_0, -6),
    "metric-ton": pow(1_0, 3),
    "long-ton": 1_0_1_6.0_4_6_0_8,
    "short-ton": 9_0_7.1_8_4,
    "pound": 0.4_5_3_5_9_2,
    "stone": 6.3_5_0_2_9,
    "ounce": 0.0_2_8_3_4_9_5,
    "carrat": 0.0_0_0_2,
    "atomic-mass-unit": 1.6_60_54_01_99e-27,
}

def        SCREAMING_SNAKE_CASE_					(						snake_case__       ,  snake_case__       ,  snake_case__							)					->     float:
							if to_type not in KILOGRAM_CHART or from_type not in WEIGHT_TYPE_CHART:
														lowerCAmelCase     		=		(
														    f"Invalid 'from_type' or 'to_type' value: {from_type!r}, {to_type!r}\n"
														    f"Supported values are: {', '.join(snake_case__							)}"
														)
														raise ValueError(snake_case__							)
							return value * KILOGRAM_CHART[to_type] * WEIGHT_TYPE_CHART[from_type]


if __name__ == "__main__":
	import doctest

	doctest.testmod()



