
from __future__ import annotations

from scipy.special import comb  # type: ignore

class        _UpperCamelCase				:






			'''simple docstring'''

			def __init__(       self :       List[Any]						,	snake_case_ :       Tuple      ):
							UpperCamelCase_:							Dict	=						list_of_points
							# Degree determines the flexibility of the curve.
							# Degree = 1 will produce a straight line.
							UpperCamelCase_:							str	=						len(A__      ) - 1

			def       lowerCAmelCase__	(       self :       Any						,	snake_case_ :       List[Any]      ):
							assert 0 <= t <= 1, "Time t must be between 0 and 1."
							UpperCamelCase_:							Union[str, Any]	=						[]
							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       lowerCAmelCase__	(       self :       Union[str, Any]						,	snake_case_ :       int      ):
							assert 0 <= t <= 1, "Time t must be between 0 and 1."

							UpperCamelCase_:							str	=						self.basis_function(A__      )
							UpperCamelCase_:							Tuple	=						0.0
							UpperCamelCase_:							int	=						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       lowerCAmelCase__	(       self :       Any						,	snake_case_ :       str = 0.01      ):
							from matplotlib import pyplot as plt  # type: ignore

							UpperCamelCase_:							List[Any]	=						[]  # x coordinates of points to plot
							UpperCamelCase_:							Optional[Any]	=						[]  # y coordinates of points to plot

							UpperCamelCase_:							Optional[int]	=						0.0
							while t <= 1:
											UpperCamelCase_:							Optional[Any]	=						self.bezier_curve_function(A__      )
											to_plot_x.append(value[0]      )
											to_plot_y.append(value[1]      )
											t += step_size

							UpperCamelCase_:							Tuple	=						[i[0] for i in self.list_of_points]
							UpperCamelCase_:							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








import warnings

from ..trainer import Trainer
from ..utils import logging


lowerCamelCase_						: Dict         =  logging.get_logger(__name__)

class        _UpperCamelCase				(					_A  ):






			'''simple docstring'''

			def __init__(       self :       List[str]						,	snake_case_ :       Tuple=None						,	**snake_case_ :       List[str]      ):
							warnings.warn(
							    """`SageMakerTrainer` is deprecated and will be removed in v5 of Transformers. You can use `Trainer` """
							    """instead."""						,	snake_case_						,	)
							super().__init__(args=snake_case_						,	**snake_case_      )






