





'''simple docstring'''

from __future__ import annotations

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






       """simple docstring"""





       def __init__(							self       :		Tuple	,			lowerCAmelCase__       :		list[tuple[float, float]]					)   ->					List[str]:

            '''simple docstring'''




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





       def snake_case__						(							self       :		Any	,			lowerCAmelCase__       :		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	,			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 snake_case__						(							self       :		int	,			lowerCAmelCase__       :		float					)   ->					tuple[float, float]:

            '''simple docstring'''




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

            _UpperCamelCase       =	self.basis_function(lowerCAmelCase__					)
            _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 snake_case__						(							self       :		List[str]	,			lowerCAmelCase__       :		float = 0.01					)   ->					Union[str, 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(lowerCAmelCase__					)
                 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(
                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













'''simple docstring'''

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


lowercase__						:      Optional[Any]	=    logging.get_logger(__name__)

lowercase__						:      List[Any]	=    {
    'microsoft/biogpt': 'https://huggingface.co/microsoft/biogpt/resolve/main/config.json',
    # See all BioGPT models at https://huggingface.co/models?filter=biogpt
}
class     __lowerCAmelCase					(   __magic_name__			):






       """simple docstring"""
       _snake_case     :					Union[str, Any]						    =   'biogpt'





       def __init__(							self       :		Optional[Any]	,			lowerCAmelCase__       :		List[str]=42384	,			lowerCAmelCase__       :		Optional[int]=1024	,			lowerCAmelCase__       :		List[str]=24	,			lowerCAmelCase__       :		List[Any]=16	,			lowerCAmelCase__       :		Optional[int]=4096	,			lowerCAmelCase__       :		Optional[int]="gelu"	,			lowerCAmelCase__       :		Optional[Any]=0.1	,			lowerCAmelCase__       :		Optional[int]=0.1	,			lowerCAmelCase__       :		Union[str, Any]=1024	,			lowerCAmelCase__       :		List[str]=0.02	,			lowerCAmelCase__       :		Tuple=1e-1_2	,			lowerCAmelCase__       :		Dict=True	,			lowerCAmelCase__       :		Tuple=True	,			lowerCAmelCase__       :		Dict=0.0	,			lowerCAmelCase__       :		Union[str, Any]=0.0	,			lowerCAmelCase__       :		Optional[int]=1	,			lowerCAmelCase__       :		Union[str, Any]=0	,			lowerCAmelCase__       :		Optional[Any]=2	,			**lowerCAmelCase__       :		Optional[Any]	,			)   ->					Tuple:

            '''simple docstring'''




            _UpperCamelCase       =	vocab_size
            _UpperCamelCase       =	max_position_embeddings
            _UpperCamelCase       =	hidden_size
            _UpperCamelCase       =	num_hidden_layers
            _UpperCamelCase       =	num_attention_heads
            _UpperCamelCase       =	intermediate_size
            _UpperCamelCase       =	hidden_act
            _UpperCamelCase       =	hidden_dropout_prob
            _UpperCamelCase       =	attention_probs_dropout_prob
            _UpperCamelCase       =	initializer_range
            _UpperCamelCase       =	layer_norm_eps
            _UpperCamelCase       =	scale_embedding
            _UpperCamelCase       =	use_cache
            _UpperCamelCase       =	layerdrop
            _UpperCamelCase       =	activation_dropout
            super().__init__(pad_token_id=lowerCAmelCase__	,			bos_token_id=lowerCAmelCase__	,			eos_token_id=lowerCAmelCase__	,			**lowerCAmelCase__					)



