
from __future__ import annotations

from scipy.special import comb  # type: ignore







class 			__A:




				def __init__(     self		,     _snake_case				)    ->      Dict:


								'''simple docstring'''




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




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case				)    ->      List[Any]:


								'''simple docstring'''




								assert 0 <= t <= 1, "Time t must be between 0 and 1."
								__a										=    []
								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 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case				)    ->      str:


								'''simple docstring'''




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

								__a										=    self.basis_function(_A				)
								__a										=    0.0
								__a										=    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 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case = 0.01				)    ->      int:


								'''simple docstring'''




								from matplotlib import pyplot as plt  # type: ignore

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

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

								__a										=    [i[0] for i in self.list_of_points]
								__a										=    [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 .glue import glue_convert_examples_to_features, glue_output_modes, glue_processors, glue_tasks_num_labels
from .squad import SquadExample, SquadFeatures, SquadVaProcessor, SquadVaProcessor, squad_convert_examples_to_features
from .utils import DataProcessor, InputExample, InputFeatures, SingleSentenceClassificationProcessor
from .xnli import xnli_output_modes, xnli_processors, xnli_tasks_num_labels




