"""simple docstring"""






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


__lowerCAmelCase    :       List[str]					     =logging.get_logger(__name__)

__lowerCAmelCase    :       str					     ={
    """facebook/dpr-ctx_encoder-single-nq-base""": (
        """https://huggingface.co/facebook/dpr-ctx_encoder-single-nq-base/resolve/main/config.json"""
    ),
    """facebook/dpr-question_encoder-single-nq-base""": (
        """https://huggingface.co/facebook/dpr-question_encoder-single-nq-base/resolve/main/config.json"""
    ),
    """facebook/dpr-reader-single-nq-base""": (
        """https://huggingface.co/facebook/dpr-reader-single-nq-base/resolve/main/config.json"""
    ),
    """facebook/dpr-ctx_encoder-multiset-base""": (
        """https://huggingface.co/facebook/dpr-ctx_encoder-multiset-base/resolve/main/config.json"""
    ),
    """facebook/dpr-question_encoder-multiset-base""": (
        """https://huggingface.co/facebook/dpr-question_encoder-multiset-base/resolve/main/config.json"""
    ),
    """facebook/dpr-reader-multiset-base""": (
        """https://huggingface.co/facebook/dpr-reader-multiset-base/resolve/main/config.json"""
    ),
}





class  _A						(       lowerCAmelCase	):
      snake_case__			:   Tuple							  =	'dpr'

      def __init__(						self		,       __lowerCAmelCase=3_0522		,       __lowerCAmelCase=768		,       __lowerCAmelCase=12		,       __lowerCAmelCase=12		,       __lowerCAmelCase=3072		,       __lowerCAmelCase="gelu"		,       __lowerCAmelCase=0.1		,       __lowerCAmelCase=0.1		,       __lowerCAmelCase=512		,       __lowerCAmelCase=2		,       __lowerCAmelCase=0.0_2		,       __lowerCAmelCase=1E-12		,       __lowerCAmelCase=0		,       __lowerCAmelCase="absolute"		,       __lowerCAmelCase = 0		,       **__lowerCAmelCase		,       ):







            """simple docstring"""



            super().__init__(pad_token_id=__lowerCAmelCase		,       **__lowerCAmelCase						)

            lowercase														=	vocab_size
            lowercase														=	hidden_size
            lowercase														=	num_hidden_layers
            lowercase														=	num_attention_heads
            lowercase														=	hidden_act
            lowercase														=	intermediate_size
            lowercase														=	hidden_dropout_prob
            lowercase														=	attention_probs_dropout_prob
            lowercase														=	max_position_embeddings
            lowercase														=	type_vocab_size
            lowercase														=	initializer_range
            lowercase														=	layer_norm_eps
            lowercase														=	projection_dim
            lowercase														=	position_embedding_type




"""simple docstring"""






from __future__ import annotations

from scipy.special import comb  # type: ignore





class  _A						:

      def __init__(						self		,       __lowerCAmelCase						):







            """simple docstring"""



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

      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            assert 0 <= t <= 1, "Time t must be between 0 and 1."
            lowercase														=	[]
            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 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



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

            lowercase														=	self.basis_function(__lowerCAmelCase						)
            lowercase														=	0.0
            lowercase														=	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 				A__       (						self		,       __lowerCAmelCase = 0.0_1						):







            """simple docstring"""



            from matplotlib import pyplot as plt  # type: ignore

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

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

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



