






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

def    SCREAMING_SNAKE_CASE_							(							__magic_name__					:  int					)		->			Tuple:






	"""simple docstring"""



	def is_in_circle(__magic_name__					:  float	,			__magic_name__					:  float					) -> bool:
		UpperCamelCase     :Dict          =	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     :List[str]          =	mean(
	    int(is_in_circle(uniform(-1.0	,			1.0					)	,			uniform(-1.0	,			1.0					)					)					)
	    for _ in range(__magic_name__					)					)
	# The ratio of the area for circle to square is pi/4.
	UpperCamelCase     :Dict          =	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    SCREAMING_SNAKE_CASE_							(							__magic_name__					:  int	,			__magic_name__					:  Callable[[float], float]	,			__magic_name__					:  float = 0.0	,			__magic_name__					:  float = 1.0	,			)		->			float:






	"""simple docstring"""



	return mean(
	    function_to_integrate(uniform(__magic_name__	,			__magic_name__					)					) for _ in range(__magic_name__					)					) * (max_value - min_value)

def    SCREAMING_SNAKE_CASE_							(							__magic_name__					:  int	,			__magic_name__					:  float = 0.0	,			__magic_name__					:  float = 1.0					)		->			None:






	"""simple docstring"""



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

	UpperCamelCase     :Optional[int]          =	area_under_curve_estimator(
	    __magic_name__	,			__magic_name__	,			__magic_name__	,			__magic_name__					)
	UpperCamelCase     :List[str]          =	(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    SCREAMING_SNAKE_CASE_							(							__magic_name__					:  int					)		->			None:






	"""simple docstring"""



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

	UpperCamelCase     :str          =	area_under_curve_estimator(
	    __magic_name__	,			__magic_name__	,			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()








import math

import numpy as np
import qiskit
from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute

def    SCREAMING_SNAKE_CASE_							(							__magic_name__					:  int = 3					)		->			qiskit.result.counts.Counts:






	"""simple docstring"""



	if isinstance(__magic_name__	,			__magic_name__					):
		raise TypeError("""number of qubits must be a integer."""					)
	if number_of_qubits <= 0:
		raise ValueError("""number of qubits must be > 0."""					)
	if math.floor(__magic_name__					) != number_of_qubits:
		raise ValueError("""number of qubits must be exact integer."""					)
	if number_of_qubits > 10:
		raise ValueError("""number of qubits too large to simulate(>10)."""					)

	UpperCamelCase     :int          =	QuantumRegister(__magic_name__	,			"""qr"""					)
	UpperCamelCase     :str          =	ClassicalRegister(__magic_name__	,			"""cr"""					)

	UpperCamelCase     :str          =	QuantumCircuit(__magic_name__	,			__magic_name__					)

	UpperCamelCase     :List[Any]          =	number_of_qubits

	for i in range(__magic_name__					):
		quantum_circuit.h(number_of_qubits - i - 1					)
		counter -= 1
		for j in range(__magic_name__					):
			quantum_circuit.cp(np.pi / 2 ** (counter - j)	,			__magic_name__	,			__magic_name__					)

	for k in range(number_of_qubits // 2					):
		quantum_circuit.swap(__magic_name__	,			number_of_qubits - k - 1					)

	# measure all the qubits
	quantum_circuit.measure(__magic_name__	,			__magic_name__					)
	# simulate with 10000 shots
	UpperCamelCase     :str          =	Aer.get_backend("""qasm_simulator"""					)
	UpperCamelCase     :Dict          =	execute(__magic_name__	,			__magic_name__	,			shots=1_0000					)

	return job.result().get_counts(__magic_name__					)


if __name__ == "__main__":
	print(
	    F'''Total count for quantum fourier transform state is: \
    {quantum_fourier_transform(3)}'''
	)
