
'''simple docstring'''
def 		A_(     A						:		list[list[float]]):
							UpperCamelCase   			=     []
							for data in source_data:
														for i, el in enumerate(A):
																					if len(A) < i + 1:
																												data_lists.append([])
																					data_lists[i].append(float(A))
							return data_lists







def 		A_(     A						:		list[list[float]]		,     A						:		list[int]):
							UpperCamelCase   			=     []
							for dlist, weight in zip(A		,     A):
														UpperCamelCase   			=     min(A)
														UpperCamelCase   			=     max(A)

														UpperCamelCase   			=     []
														# for weight 0 score is 1 - actual score
														if weight == 0:
																					for item in dlist:
																												try:
																																			score.append(1 - ((item - mind) / (maxd - mind)))
																												except ZeroDivisionError:
																																			score.append(1)

														elif weight == 1:
																					for item in dlist:
																												try:
																																			score.append((item - mind) / (maxd - mind))
																												except ZeroDivisionError:
																																			score.append(0)

        # weight not 0 or 1
														else:
																					UpperCamelCase   			=     f'''Invalid weight of {weight:f} provided'''
																					raise ValueError(A)

														score_lists.append(A)

							return score_lists







def 		A_(     A						:		list[list[float]]):
							UpperCamelCase   			=     [0 for i in range(len(score_lists[0]))]

							for slist in score_lists:
														for j, ele in enumerate(A):
																					UpperCamelCase   			=     final_scores[j] + ele

							return final_scores







def 		A_(     A						:		list[list[float]]		,     A						:		list[int]):
							UpperCamelCase   			=     get_data(A)
							UpperCamelCase   			=     calculate_each_score(A		,     A)
							UpperCamelCase   			=     generate_final_scores(A)

							# append scores to source data
							for i, ele in enumerate(A):
														source_data[i].append(A)

							return source_data





'''simple docstring'''


from collections.abc import Callable
from math import pi, sqrt
from random import uniform
from statistics import mean





def    lowerCAmelCase       (		UpperCamelCase__					: int							):


	"""simple docstring"""

	# A local function to see if a dot lands in the circle.
	def is_in_circle(UpperCamelCase__					: float     ,       UpperCamelCase__					: float							) -> bool:
		__UpperCAmelCase      					=      sqrt((x**2) + (y**2)							)
		# Our circle has a radius of 1, so a distance
		# greater than 1 would land outside the circle.
		return distance_from_centre <= 1

	# The proportion of guesses that landed in the circle
	__UpperCAmelCase      					=      mean(
	    int(is_in_circle(uniform(-1.0     ,       1.0							)     ,       uniform(-1.0     ,       1.0							)							)							)
	    for _ in range(UpperCamelCase__							)							)
	# The ratio of the area for circle to square is pi/4.
	__UpperCAmelCase      					=      proportion * 4
	print(f"""The estimated value of pi is {pi_estimate}"""							)
	print(f"""The numpy value of pi is {pi}"""							)
	print(f"""The total error is {abs(pi - pi_estimate							)}"""							)





def    lowerCAmelCase       (		UpperCamelCase__					: int     ,       UpperCamelCase__					: Callable[[float], float]     ,       UpperCamelCase__					: float = 0.0     ,       UpperCamelCase__					: float = 1.0     ,       ):


	"""simple docstring"""
	return mean(
	    function_to_integrate(uniform(UpperCamelCase__     ,       UpperCamelCase__							)							) for _ in range(UpperCamelCase__							)							) * (max_value - min_value)





def    lowerCAmelCase       (		UpperCamelCase__					: int     ,       UpperCamelCase__					: float = 0.0     ,       UpperCamelCase__					: float = 1.0							):


	"""simple docstring"""

	def identity_function(UpperCamelCase__					: float							) -> float:
		return x

	__UpperCAmelCase      					=      area_under_curve_estimator(
	    UpperCamelCase__     ,       UpperCamelCase__     ,       UpperCamelCase__     ,       UpperCamelCase__							)
	__UpperCAmelCase      					=      (max_value * max_value - min_value * min_value) / 2

	print('''******************'''							)
	print(f"""Estimating area under y=x where x varies from {min_value} to {max_value}"""							)
	print(f"""Estimated value is {estimated_value}"""							)
	print(f"""Expected value is {expected_value}"""							)
	print(f"""Total error is {abs(estimated_value - expected_value							)}"""							)
	print('''******************'''							)





def    lowerCAmelCase       (		UpperCamelCase__					: int							):


	"""simple docstring"""

	def function_to_integrate(UpperCamelCase__					: float							) -> float:
		return sqrt(4.0 - x * x							)

	__UpperCAmelCase      					=      area_under_curve_estimator(
	    UpperCamelCase__     ,       UpperCamelCase__     ,       0.0     ,       2.0							)

	print('''******************'''							)
	print('''Estimating pi using area_under_curve_estimator'''							)
	print(f"""Estimated value is {estimated_value}"""							)
	print(f"""Expected value is {pi}"""							)
	print(f"""Total error is {abs(estimated_value - pi							)}"""							)
	print('''******************'''							)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
