





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


UpperCamelCase__      =logging.get_logger(__name__)

UpperCamelCase__      ={'ctrl': 'https://huggingface.co/ctrl/resolve/main/config.json'}





class 			lowerCAmelCase__( __lowercase    ):






       '''simple docstring'''


       __snake_case 			=    'ctrl'
       __snake_case 			=    ['past_key_values']
       __snake_case 			=    {
           'max_position_embeddings': 'n_positions',
           'hidden_size': 'n_embd',
           'num_attention_heads': 'n_head',
           'num_hidden_layers': 'n_layer',
       }




       def __init__(      self    ,						__lowerCamelCase=2_4_6_5_3_4    ,						__lowerCamelCase=2_5_6    ,						__lowerCamelCase=1_2_8_0    ,						__lowerCamelCase=8_1_9_2    ,						__lowerCamelCase=4_8    ,						__lowerCamelCase=1_6    ,						__lowerCamelCase=0.1    ,						__lowerCamelCase=0.1    ,						__lowerCamelCase=1E-6    ,						__lowerCamelCase=0.02    ,						__lowerCamelCase=True    ,						**__lowerCamelCase    ,						)			->     int:
            _SCREAMING_SNAKE_CASE       :	int						    =							vocab_size
            _SCREAMING_SNAKE_CASE       :	Dict						    =							n_positions
            _SCREAMING_SNAKE_CASE       :	Optional[int]						    =							n_embd
            _SCREAMING_SNAKE_CASE       :	Dict						    =							n_layer
            _SCREAMING_SNAKE_CASE       :	Union[str, Any]						    =							n_head
            _SCREAMING_SNAKE_CASE       :	List[str]						    =							dff
            _SCREAMING_SNAKE_CASE       :	List[Any]						    =							resid_pdrop
            _SCREAMING_SNAKE_CASE       :	int						    =							embd_pdrop
            _SCREAMING_SNAKE_CASE       :	List[str]						    =							layer_norm_epsilon
            _SCREAMING_SNAKE_CASE       :	int						    =							initializer_range

            _SCREAMING_SNAKE_CASE       :	Any						    =							use_cache

            super().__init__(**__lowerCamelCase							)






from __future__ import annotations

from scipy.special import comb  # type: ignore





class 			lowerCAmelCase__:






       '''simple docstring'''


       def __init__(      self    ,						__lowerCamelCase							)			->     Tuple:
            _SCREAMING_SNAKE_CASE       :	List[str]						    =							list_of_points
            # Degree determines the flexibility of the curve.
            # Degree = 1 will produce a straight line.
            _SCREAMING_SNAKE_CASE       :	Optional[int]						    =							len(__lowerCamelCase							) - 1




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

            _SCREAMING_SNAKE_CASE       :	Optional[int]						    =							self.basis_function(__lowerCamelCase							)
            _SCREAMING_SNAKE_CASE       :	str						    =							0.0
            _SCREAMING_SNAKE_CASE       :	Union[str, 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     UpperCamelCase_			(      self    ,						__lowerCamelCase = 0.01							)			->     int:
            from matplotlib import pyplot as plt  # type: ignore

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

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

            _SCREAMING_SNAKE_CASE       :	List[Any]						    =							[i[0] for i in self.list_of_points]
            _SCREAMING_SNAKE_CASE       :	Dict						    =							[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