
"""simple docstring"""
from __future__ import annotations

from scipy.special import comb  # type: ignore

class __lowercase:




					'''simple docstring'''


					def __init__(    self						,	__a     ):
								__lowerCamelCase					:	Any	       =				list_of_points
								# Degree determines the flexibility of the curve.
								# Degree = 1 will produce a straight line.
								__lowerCamelCase					:	Tuple	       =				len(A__     ) - 1
					def     snake_case_				(    self						,	__a     ):
								assert 0 <= t <= 1, "Time t must be between 0 and 1."
								__lowerCamelCase					:	Tuple	       =				[]
								for i in range(len(self.list_of_points     )     ):
											# basis function for each i
											output_values.append(
											    comb(self.degree						,	A__     ) * ((1 - t) ** (self.degree - i)) * (t**i)     )
								# the basis must sum up to 1 for it to produce a valid Bezier curve.
								assert round(sum(A__     )						,	5     ) == 1
								return output_values
					def     snake_case_				(    self						,	__a     ):
								assert 0 <= t <= 1, "Time t must be between 0 and 1."

								__lowerCamelCase					:	Union[str, Any]	       =				self.basis_function(A__     )
								__lowerCamelCase					:	Dict	       =				0.0
								__lowerCamelCase					:	Dict	       =				0.0
								for i in range(len(self.list_of_points     )     ):
											# For all points, sum up the product of i-th basis function and i-th point.
											x += basis_function[i] * self.list_of_points[i][0]
											y += basis_function[i] * self.list_of_points[i][1]
								return (x, y)





					def     snake_case_				(    self						,	__a = 0.01     ):
								from matplotlib import pyplot as plt  # type: ignore

								__lowerCamelCase					:	str	       =				[]  # x coordinates of points to plot
								__lowerCamelCase					:	Tuple	       =				[]  # y coordinates of points to plot

								__lowerCamelCase					:	Dict	       =				0.0
								while t <= 1:
											__lowerCamelCase					:	Tuple	       =				self.bezier_curve_function(A__     )
											to_plot_x.append(value[0]     )
											to_plot_y.append(value[1]     )
											t += step_size

								__lowerCamelCase					:	str	       =				[i[0] for i in self.list_of_points]
								__lowerCamelCase					:	Union[str, Any]	       =				[i[1] for i in self.list_of_points]

								plt.plot(
								    A__						,	A__						,	color='blue'						,	label='Curve of Degree ' + str(self.degree     )						,	)
								plt.scatter(A__						,	A__						,	color='red'						,	label='Control Points'     )
								plt.legend()
								plt.show()


if __name__ == "__main__":
					import doctest

					doctest.testmod()

					BezierCurve([(1, 2), (3, 5)]).plot_curve()  # degree 1
					BezierCurve([(0, 0), (5, 5), (5, 0)]).plot_curve()  # degree 2
					BezierCurve([(0, 0), (5, 5), (5, 0), (2.5, -2.5)]).plot_curve()  # degree 3









"""simple docstring"""
import pytest

import datasets


# Import fixture modules as plugins
a_				:    Tuple										=     ['''tests.fixtures.files''', '''tests.fixtures.hub''', '''tests.fixtures.fsspec''']





def 						UpperCAmelCase				(			A__:    List[Any]							,				A__:    Optional[Any]     )  ->     List[str]:
			# Mark tests as "unit" by default if not marked as "integration" (or already marked as "unit")
			for item in items:
						if any(marker in item.keywords for marker in ['integration', 'unit']     ):
									continue
						item.add_marker(pytest.mark.unit     )





def 						UpperCAmelCase				(			A__:    int     )  ->     Optional[int]:
			config.addinivalue_line('markers'							,				'torchaudio_latest: mark test to run with torchaudio>=0.12'     )





@pytest.fixture(autouse=A__     )
def 						UpperCAmelCase				(			A__:    Optional[Any]							,				A__:    List[Any]     )  ->     Any:
			# test_hf_cache_home = tmp_path_factory.mktemp("cache")  # TODO: why a cache dir per test function does not work?
			__lowerCamelCase					:	str	       =				tmp_path_factory.getbasetemp() / 'cache'
			__lowerCamelCase					:	Dict	       =				test_hf_cache_home / 'datasets'
			__lowerCamelCase					:	int	       =				test_hf_cache_home / 'metrics'
			__lowerCamelCase					:	List[str]	       =				test_hf_cache_home / 'modules'
			monkeypatch.setattr('datasets.config.HF_DATASETS_CACHE'							,				str(A__     )     )
			monkeypatch.setattr('datasets.config.HF_METRICS_CACHE'							,				str(A__     )     )
			monkeypatch.setattr('datasets.config.HF_MODULES_CACHE'							,				str(A__     )     )
			__lowerCamelCase					:	List[Any]	       =				test_hf_datasets_cache / 'downloads'
			monkeypatch.setattr('datasets.config.DOWNLOADED_DATASETS_PATH'							,				str(A__     )     )
			__lowerCamelCase					:	Optional[int]	       =				test_hf_datasets_cache / 'downloads' / 'extracted'
			monkeypatch.setattr('datasets.config.EXTRACTED_DATASETS_PATH'							,				str(A__     )     )





@pytest.fixture(autouse=A__							,				scope='session'     )
def 						UpperCAmelCase				(			)  ->     Any:
			datasets.disable_progress_bar()





@pytest.fixture(autouse=A__     )
def 						UpperCAmelCase				(			A__:    Optional[Any]     )  ->     Dict:
			# don't take tests into account when counting downloads
			monkeypatch.setattr('datasets.config.HF_UPDATE_DOWNLOAD_COUNTS'							,				A__     )






@pytest.fixture
def 						UpperCAmelCase				(			A__:    Union[str, Any]     )  ->     Optional[Any]:
			# Required to suppress RemovedIn20Warning when feature(s) are not compatible with SQLAlchemy 2.0
			# To be removed once SQLAlchemy 2.0 supported
			monkeypatch.setattr('sqlalchemy.util.deprecations.SILENCE_UBER_WARNING'							,				A__     )



