



'''simple docstring'''

from ...configuration_utils import PretrainedConfig
from ...utils import logging


__lowerCAmelCase									=   logging.get_logger(__name__)

__lowerCAmelCase									=   {
    '''google/fnet-base''': '''https://huggingface.co/google/fnet-base/resolve/main/config.json''',
    '''google/fnet-large''': '''https://huggingface.co/google/fnet-large/resolve/main/config.json'''
    # See all FNet models at https://huggingface.co/models?filter=fnet
}

class 	__magic_name__						(    _UpperCamelCase   ):
							lowerCAmelCase       :    Union[str, Any]   				=					'fnet'







							def __init__(							self					:       Optional[int]	,_UpperCAmelCase					:       Tuple=32000	,_UpperCAmelCase					:       Tuple=768	,_UpperCAmelCase					:       Dict=12	,_UpperCAmelCase					:       str=3072	,_UpperCAmelCase					:       int="gelu_new"	,_UpperCAmelCase					:       List[Any]=0.1	,_UpperCAmelCase					:       Dict=512	,_UpperCAmelCase					:       Optional[Any]=4	,_UpperCAmelCase					:       Dict=0.02	,_UpperCAmelCase					:       int=1E-12	,_UpperCAmelCase					:       Union[str, Any]=False	,_UpperCAmelCase					:       Union[str, Any]=512	,_UpperCAmelCase					:       List[str]=3	,_UpperCAmelCase					:       str=1	,_UpperCAmelCase					:       Union[str, Any]=2	,**_UpperCAmelCase					:       int	,):
									super().__init__(pad_token_id=_UpperCAmelCase	,bos_token_id=_UpperCAmelCase	,eos_token_id=_UpperCAmelCase	,**_UpperCAmelCase		)

									_a     :      Tuple        =							vocab_size
									_a     :      str        =							max_position_embeddings
									_a     :      Union[str, Any]        =							hidden_size
									_a     :      Any        =							num_hidden_layers
									_a     :      str        =							intermediate_size
									_a     :      str        =							hidden_act
									_a     :      Union[str, Any]        =							hidden_dropout_prob
									_a     :      Any        =							initializer_range
									_a     :      List[Any]        =							type_vocab_size
									_a     :      List[str]        =							layer_norm_eps
									_a     :      int        =							use_tpu_fourier_optimizations
									_a     :      Dict        =							tpu_short_seq_length










from __future__ import annotations

from scipy.special import comb  # type: ignore




class     snake_case__							:
				"""simple docstring"""



				def __init__(      self				:     Any					,      __lowerCamelCase				:     list[tuple[float, float]]							)					->     Tuple:
							a    =			list_of_points
							# Degree determines the flexibility of the curve.
							# Degree = 1 will produce a straight line.
							a    =			len(__lowerCamelCase							) - 1





				def 							__UpperCAmelCase							(      self				:     Union[str, Any]					,      __lowerCamelCase				:     float							)					->     list[float]:
							assert 0 <= t <= 1, "Time t must be between 0 and 1."
							a    =			[]
							for i in range(len(self.list_of_points							)							):
										# basis function for each i
										output_values.append(
										    comb(self.degree					,      __lowerCamelCase							) * ((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(__lowerCamelCase							)					,      5							) == 1
							return output_values





				def 							__UpperCAmelCase							(      self				:     Optional[Any]					,      __lowerCamelCase				:     float							)					->     tuple[float, float]:
							assert 0 <= t <= 1, "Time t must be between 0 and 1."

							a    =			self.basis_function(__lowerCamelCase							)
							a    =			0.0
							a    =			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 							__UpperCAmelCase							(      self				:     Optional[Any]					,      __lowerCamelCase				:     float = 0.01							)					->     List[str]:
							from matplotlib import pyplot as plt  # type: ignore

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

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

							a    =			[i[0] for i in self.list_of_points]
							a    =			[i[1] for i in self.list_of_points]

							plt.plot(
							    __lowerCamelCase					,      __lowerCamelCase					,      color="blue"					,      label="Curve of Degree " + str(self.degree							)					,      )
							plt.scatter(__lowerCamelCase					,      __lowerCamelCase					,      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






