




from __future__ import annotations

from scipy.special import comb  # type: ignore
class 			a__    :






						def __init__(   self		,			_A			):




											"""simple docstring"""



											__lowerCAmelCase				   =       list_of_points
											# Degree determines the flexibility of the curve.
											# Degree = 1 will produce a straight line.
											__lowerCAmelCase				   =       len(_A			) - 1






						def 				__SCREAMING_SNAKE_CASE(   self		,			_A			):




											"""simple docstring"""



											assert 0 <= t <= 1, "Time t must be between 0 and 1."
											__lowerCAmelCase				   =       []
											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 				__SCREAMING_SNAKE_CASE(   self		,			_A			):




											"""simple docstring"""



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

											__lowerCAmelCase				   =       self.basis_function(_A			)
											__lowerCAmelCase				   =       0.0
											__lowerCAmelCase				   =       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 				__SCREAMING_SNAKE_CASE(   self		,			_A = 0.01			):




											"""simple docstring"""



											from matplotlib import pyplot as plt  # type: ignore

											__lowerCAmelCase				   =       []  # x coordinates of points to plot
											__lowerCAmelCase				   =       []  # y coordinates of points to plot

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

											__lowerCAmelCase				   =       [i[0] for i in self.list_of_points]
											__lowerCAmelCase				   =       [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 ...utils import logging
from .image_processing_imagegpt import ImageGPTImageProcessor


__UpperCAmelCase								=						logging.get_logger(__name__)



class   lowerCamelCase      (_snake_case			):







		'''simple docstring'''



		def __init__(							self				,		*_UpperCamelCase				,		**_UpperCamelCase   )	->							None:
							warnings.warn(
							    'The class ImageGPTFeatureExtractor is deprecated and will be removed in version 5 of Transformers.'
							    ' Please use ImageGPTImageProcessor instead.'				,		_UpperCamelCase				,		)
							super().__init__(*_UpperCamelCase				,		**_UpperCamelCase   )






