
"""simple docstring"""




from __future__ import annotations

from scipy.special import comb  # type: ignore



class 			lowerCAmelCase_		:


				"""simple docstring"""



				def __init__(self     , SCREAMING_SNAKE_CASE__					)      ->	Optional[int]:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__		: int     =     list_of_points
											# Degree determines the flexibility of the curve.
											# Degree = 1 will produce a straight line.
											SCREAMING_SNAKE_CASE__		: Tuple     =     len(SCREAMING_SNAKE_CASE__					) - 1



				def 			__magic_name__					(self     , SCREAMING_SNAKE_CASE__					)      ->	list[float]:



											"""simple docstring"""




											assert 0 <= t <= 1, "Time t must be between 0 and 1."
											SCREAMING_SNAKE_CASE__		: list[float]     =     []
											for i in range(len(self.list_of_points					)					):
																		# basis function for each i
																		output_values.append(
																		    comb(self.degree     , SCREAMING_SNAKE_CASE__					) * ((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(SCREAMING_SNAKE_CASE__					)     , 5					) == 1
											return output_values



				def 			__magic_name__					(self     , SCREAMING_SNAKE_CASE__					)      ->	tuple[float, float]:



											"""simple docstring"""




											assert 0 <= t <= 1, "Time t must be between 0 and 1."

											SCREAMING_SNAKE_CASE__		: Optional[int]     =     self.basis_function(SCREAMING_SNAKE_CASE__					)
											SCREAMING_SNAKE_CASE__		: List[Any]     =     0.0
											SCREAMING_SNAKE_CASE__		: 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 			__magic_name__					(self     , SCREAMING_SNAKE_CASE__ = 0.01					)      ->	Tuple:



											"""simple docstring"""




											from matplotlib import pyplot as plt  # type: ignore

											SCREAMING_SNAKE_CASE__		: list[float]     =     []  # x coordinates of points to plot
											SCREAMING_SNAKE_CASE__		: list[float]     =     []  # y coordinates of points to plot

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

											SCREAMING_SNAKE_CASE__		: Tuple     =     [i[0] for i in self.list_of_points]
											SCREAMING_SNAKE_CASE__		: List[Any]     =     [i[1] for i in self.list_of_points]

											plt.plot(
											    SCREAMING_SNAKE_CASE__     , SCREAMING_SNAKE_CASE__     , color="""blue"""     , label="""Curve of Degree """ + str(self.degree					)     , )
											plt.scatter(SCREAMING_SNAKE_CASE__     , SCREAMING_SNAKE_CASE__     , 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 doctest
import logging
import os
import unittest
from pathlib import Path
from typing import List, Union

import transformers
from transformers.testing_utils import require_tf, require_torch, slow


UpperCAmelCase__   :					Any												=				logging.getLogger()



@unittest.skip('''Temporarily disable the doc tests.'''						)
@require_torch
@require_tf
@slow
class 			lowerCAmelCase_		(unittest.TestCase						):


				"""simple docstring"""



				def 			__magic_name__					(self     , SCREAMING_SNAKE_CASE__     , SCREAMING_SNAKE_CASE__ = None     , SCREAMING_SNAKE_CASE__ = None     , SCREAMING_SNAKE_CASE__ = None     , SCREAMING_SNAKE_CASE__ = True     , )      ->	int:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__		: Tuple     =     [file for file in os.listdir(SCREAMING_SNAKE_CASE__					) if os.path.isfile(os.path.join(SCREAMING_SNAKE_CASE__     , SCREAMING_SNAKE_CASE__					)					)]

											if identifier is not None:
																		SCREAMING_SNAKE_CASE__		: int     =     [file for file in files if identifier in file]

											if n_identifier is not None:
																		if isinstance(SCREAMING_SNAKE_CASE__     , SCREAMING_SNAKE_CASE__					):
																									for n_ in n_identifier:
																																SCREAMING_SNAKE_CASE__		: Optional[Any]     =     [file for file in files if n_ not in file]
																		else:
																									SCREAMING_SNAKE_CASE__		: List[Any]     =     [file for file in files if n_identifier not in file]

											SCREAMING_SNAKE_CASE__		: int     =     ignore_files or []
											ignore_files.append("""__init__.py"""					)
											SCREAMING_SNAKE_CASE__		: Optional[int]     =     [file for file in files if file not in ignore_files]

											for file in files:
																		# Open all files
																		print("""Testing"""     , SCREAMING_SNAKE_CASE__					)

																		if only_modules:
																									SCREAMING_SNAKE_CASE__		: Union[str, Any]     =     file.split("""."""					)[0]
																									try:
																																SCREAMING_SNAKE_CASE__		: Optional[Any]     =     getattr(SCREAMING_SNAKE_CASE__     , SCREAMING_SNAKE_CASE__					)
																																SCREAMING_SNAKE_CASE__		: Optional[int]     =     doctest.DocTestSuite(SCREAMING_SNAKE_CASE__					)
																																SCREAMING_SNAKE_CASE__		: int     =     unittest.TextTestRunner().run(SCREAMING_SNAKE_CASE__					)
																																self.assertIs(len(result.failures					)     , 0					)
																									except AttributeError:
																																logger.info(F'''{module_identifier} is not a module.'''					)
																		else:
																									SCREAMING_SNAKE_CASE__		: Optional[int]     =     doctest.testfile(str("""..""" / directory / file					)     , optionflags=doctest.ELLIPSIS					)
																									self.assertIs(result.failed     , 0					)



				def 			__magic_name__					(self					)      ->	Any:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__		: Optional[int]     =     Path("""src/transformers"""					)
											SCREAMING_SNAKE_CASE__		: Optional[int]     =     """modeling"""
											SCREAMING_SNAKE_CASE__		: int     =     [
											    """modeling_ctrl.py""",
											    """modeling_tf_ctrl.py""",
											]
											self.analyze_directory(SCREAMING_SNAKE_CASE__     , identifier=SCREAMING_SNAKE_CASE__     , ignore_files=SCREAMING_SNAKE_CASE__					)



				def 			__magic_name__					(self					)      ->	str:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__		: str     =     Path("""src/transformers"""					)
											SCREAMING_SNAKE_CASE__		: List[str]     =     """tokenization"""
											self.analyze_directory(SCREAMING_SNAKE_CASE__     , identifier=SCREAMING_SNAKE_CASE__					)



				def 			__magic_name__					(self					)      ->	List[Any]:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__		: List[Any]     =     Path("""src/transformers"""					)
											SCREAMING_SNAKE_CASE__		: List[str]     =     """configuration"""
											self.analyze_directory(SCREAMING_SNAKE_CASE__     , identifier=SCREAMING_SNAKE_CASE__					)



				def 			__magic_name__					(self					)      ->	Optional[int]:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__		: Union[str, Any]     =     Path("""src/transformers"""					)
											SCREAMING_SNAKE_CASE__		: Dict     =     ["""configuration""", """modeling""", """tokenization"""]
											self.analyze_directory(SCREAMING_SNAKE_CASE__     , n_identifier=SCREAMING_SNAKE_CASE__					)



				def 			__magic_name__					(self					)      ->	Optional[int]:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__		: Optional[int]     =     Path("""docs/source"""					)
											SCREAMING_SNAKE_CASE__		: Any     =     ["""favicon.ico"""]
											self.analyze_directory(SCREAMING_SNAKE_CASE__     , ignore_files=SCREAMING_SNAKE_CASE__     , only_modules=SCREAMING_SNAKE_CASE__					)




