



from __future__ import annotations

from scipy.special import comb  # type: ignore







class       __lowerCAmelCase   :



			def __init__(						self       :  Dict			,		A       :  list[tuple[float, float]])       ->   Any:



						"""simple docstring"""






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



			def    _lowerCamelCase	(						self       :  Optional[int]			,		A       :  float)       ->   list[float]:



						"""simple docstring"""






						assert 0 <= t <= 1, "Time t must be between 0 and 1."
						_UpperCAmelCase			=       []
						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       :  str			,		A       :  float)       ->   tuple[float, float]:



						"""simple docstring"""






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

						_UpperCAmelCase			=       self.basis_function(A)
						_UpperCAmelCase			=       0.0
						_UpperCAmelCase			=       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       :  int			,		A       :  float = 0.0_1)       ->   List[Any]:



						"""simple docstring"""






						from matplotlib import pyplot as plt  # type: ignore

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

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

						_UpperCAmelCase			=       [i[0] for i in self.list_of_points]
						_UpperCAmelCase			=       [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





from collections import OrderedDict
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


UpperCAmelCase__       =	logging.get_logger(__name__)

UpperCAmelCase__       =	{
    "facebook/xmod-base": "https://huggingface.co/facebook/xmod-base/resolve/main/config.json",
    "facebook/xmod-large-prenorm": "https://huggingface.co/facebook/xmod-large-prenorm/resolve/main/config.json",
    "facebook/xmod-base-13-125k": "https://huggingface.co/facebook/xmod-base-13-125k/resolve/main/config.json",
    "facebook/xmod-base-30-125k": "https://huggingface.co/facebook/xmod-base-30-125k/resolve/main/config.json",
    "facebook/xmod-base-30-195k": "https://huggingface.co/facebook/xmod-base-30-195k/resolve/main/config.json",
    "facebook/xmod-base-60-125k": "https://huggingface.co/facebook/xmod-base-60-125k/resolve/main/config.json",
    "facebook/xmod-base-60-265k": "https://huggingface.co/facebook/xmod-base-60-265k/resolve/main/config.json",
    "facebook/xmod-base-75-125k": "https://huggingface.co/facebook/xmod-base-75-125k/resolve/main/config.json",
    "facebook/xmod-base-75-269k": "https://huggingface.co/facebook/xmod-base-75-269k/resolve/main/config.json",
}







class       __lowerCAmelCase   (      A						):
			UpperCamelCase        =					'''xmod'''



			def __init__(						self       :  Optional[int]			,		A       :  int=3_05_22			,		A       :  Tuple=7_68			,		A       :  Optional[Any]=12			,		A       :  Tuple=12			,		A       :  str=30_72			,		A       :  List[str]="gelu"			,		A       :  Any=0.1			,		A       :  int=0.1			,		A       :  Dict=5_12			,		A       :  Optional[Any]=2			,		A       :  Optional[Any]=0.0_2			,		A       :  List[Any]=1E-12			,		A       :  int=1			,		A       :  Tuple=0			,		A       :  Optional[Any]=2			,		A       :  int="absolute"			,		A       :  Union[str, Any]=True			,		A       :  List[Any]=None			,		A       :  Optional[Any]=False			,		A       :  List[str]=2			,		A       :  int=False			,		A       :  str=True			,		A       :  Optional[Any]=True			,		A       :  Tuple=("en_XX",)			,		A       :  Optional[int]=None			,		**A       :  List[str]			,		)       ->   Dict:



						"""simple docstring"""






						super().__init__(pad_token_id=A			,		bos_token_id=A			,		eos_token_id=A			,		**A)

						_UpperCAmelCase			=       vocab_size
						_UpperCAmelCase			=       hidden_size
						_UpperCAmelCase			=       num_hidden_layers
						_UpperCAmelCase			=       num_attention_heads
						_UpperCAmelCase			=       hidden_act
						_UpperCAmelCase			=       intermediate_size
						_UpperCAmelCase			=       hidden_dropout_prob
						_UpperCAmelCase			=       attention_probs_dropout_prob
						_UpperCAmelCase			=       max_position_embeddings
						_UpperCAmelCase			=       type_vocab_size
						_UpperCAmelCase			=       initializer_range
						_UpperCAmelCase			=       layer_norm_eps
						_UpperCAmelCase			=       position_embedding_type
						_UpperCAmelCase			=       use_cache
						_UpperCAmelCase			=       classifier_dropout
						_UpperCAmelCase			=       pre_norm
						_UpperCAmelCase			=       adapter_reduction_factor
						_UpperCAmelCase			=       adapter_layer_norm
						_UpperCAmelCase			=       adapter_reuse_layer_norm
						_UpperCAmelCase			=       ln_before_adapter
						_UpperCAmelCase			=       list(A)
						_UpperCAmelCase			=       default_language







class       __lowerCAmelCase   (      A						):



			@property
			def    _lowerCamelCase	(						self       :  Optional[Any])       ->   Mapping[str, Mapping[int, str]]:



						"""simple docstring"""






						if self.task == "multiple-choice":
									_UpperCAmelCase			=       {0: 'batch', 1: 'choice', 2: 'sequence'}
						else:
									_UpperCAmelCase			=       {0: 'batch', 1: 'sequence'}
						return OrderedDict(
						    [
						        ('input_ids', dynamic_axis),
						        ('attention_mask', dynamic_axis),
						    ])
