
from __future__ import annotations

from scipy.special import comb  # type: ignore

class     _UpperCamelCase			:






			'''simple docstring'''

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

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

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

							UpperCamelCase_:							int		=  self.basis_function(snake_case_ )
							UpperCamelCase_:							int		=  0.0
							UpperCamelCase_:							List[Any]		=  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	:    str  ,		snake_case_	:    float = 0.01 ):
							from matplotlib import pyplot as plt  # type: ignore

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

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

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

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








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


lowerCamelCase_  :	Optional[int] 				=					logging.get_logger(__name__)

lowerCamelCase_  :	Dict 				=					{
    """studio-ousia/luke-base""": """https://huggingface.co/studio-ousia/luke-base/resolve/main/config.json""",
    """studio-ousia/luke-large""": """https://huggingface.co/studio-ousia/luke-large/resolve/main/config.json""",
}

class     _UpperCamelCase			(   _A					):






			'''simple docstring'''

			__UpperCamelCase :  Optional[int]    =	"""luke"""

			def __init__(    self	:    Tuple  ,		snake_case_	:    List[Any]=5_0267  ,		snake_case_	:    Any=50_0000  ,		snake_case_	:    str=768  ,		snake_case_	:    int=256  ,		snake_case_	:    str=12  ,		snake_case_	:    int=12  ,		snake_case_	:    Dict=3072  ,		snake_case_	:    Optional[Any]="gelu"  ,		snake_case_	:    Dict=0.1  ,		snake_case_	:    List[str]=0.1  ,		snake_case_	:    int=512  ,		snake_case_	:    Dict=2  ,		snake_case_	:    List[Any]=0.02  ,		snake_case_	:    int=1e-12  ,		snake_case_	:    Union[str, Any]=True  ,		snake_case_	:    Union[str, Any]=None  ,		snake_case_	:    Dict=1  ,		snake_case_	:    Optional[int]=0  ,		snake_case_	:    List[str]=2  ,		**snake_case_	:    Union[str, Any]  ,		):
							super().__init__(pad_token_id=snake_case_  ,		bos_token_id=snake_case_  ,		eos_token_id=snake_case_  ,		**snake_case_ )

							UpperCamelCase_:							Dict		=  vocab_size
							UpperCamelCase_:							Tuple		=  entity_vocab_size
							UpperCamelCase_:							Optional[int]		=  hidden_size
							UpperCamelCase_:							Any		=  entity_emb_size
							UpperCamelCase_:							str		=  num_hidden_layers
							UpperCamelCase_:							Union[str, Any]		=  num_attention_heads
							UpperCamelCase_:							Dict		=  hidden_act
							UpperCamelCase_:							Dict		=  intermediate_size
							UpperCamelCase_:							str		=  hidden_dropout_prob
							UpperCamelCase_:							List[str]		=  attention_probs_dropout_prob
							UpperCamelCase_:							int		=  max_position_embeddings
							UpperCamelCase_:							int		=  type_vocab_size
							UpperCamelCase_:							List[Any]		=  initializer_range
							UpperCamelCase_:							Union[str, Any]		=  layer_norm_eps
							UpperCamelCase_:							Tuple		=  use_entity_aware_attention
							UpperCamelCase_:							int		=  classifier_dropout






