






"""simple docstring"""





from __future__ import annotations

from scipy.special import comb  # type: ignore



class       __A		:

					def __init__(			self  :      str     ,		__snake_case  :      list[tuple[float, float]]					)			->							List[Any]:
											__magic_name__:	int							=       list_of_points
											# Degree determines the flexibility of the curve.
											# Degree = 1 will produce a straight line.
											__magic_name__:	Union[str, Any]							=       len(__snake_case					) - 1

					def   lowerCamelCase__   (			self  :      int     ,		__snake_case  :      float					)			->							list[float]:
											assert 0 <= t <= 1, "Time t must be between 0 and 1."
											__magic_name__:	list[float]							=       []
											for i in range(len(self.list_of_points					)					):
																	# basis function for each i
																	output_values.append(
																	    comb(self.degree     ,		__snake_case					) * ((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(__snake_case					)     ,		5					) == 1
											return output_values

					def   lowerCamelCase__   (			self  :      Optional[Any]     ,		__snake_case  :      float					)			->							tuple[float, float]:
											assert 0 <= t <= 1, "Time t must be between 0 and 1."

											__magic_name__:	Any							=       self.basis_function(__snake_case					)
											__magic_name__:	str							=       0.0
											__magic_name__:	str							=       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  :      str     ,		__snake_case  :      float = 0.01					)			->							Optional[Any]:
											from matplotlib import pyplot as plt  # type: ignore

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

											__magic_name__:	Union[str, Any]							=       0.0
											while t <= 1:
																	__magic_name__:	Tuple							=       self.bezier_curve_function(__snake_case					)
																	to_plot_x.append(value[0]					)
																	to_plot_y.append(value[1]					)
																	t += step_size

											__magic_name__:	Optional[Any]							=       [i[0] for i in self.list_of_points]
											__magic_name__:	Any							=       [i[1] for i in self.list_of_points]

											plt.plot(
											    __snake_case     ,		__snake_case     ,		color="""blue"""     ,		label="""Curve of Degree """ + str(self.degree					)     ,		)
											plt.scatter(__snake_case     ,		__snake_case     ,		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 typing import Union

import fire
import torch
from tqdm import tqdm



def   a    (     __UpperCAmelCase      :    str      ,   __UpperCAmelCase      :    str = "cpu"      ,   __UpperCAmelCase      :    Union[str, None] = None  )    ->							None:
						__magic_name__:	List[Any]							=       torch.load(__UpperCAmelCase      ,   map_location=__UpperCAmelCase  )
						for k, v in tqdm(state_dict.items()  ):
												if not isinstance(__UpperCAmelCase      ,   torch.Tensor  ):
																		raise TypeError("""FP16 conversion only works on paths that are saved state dicts, like pytorch_model.bin"""  )
												__magic_name__:	Any							=       v.half()
						if save_path is None:  # overwrite src_path
												__magic_name__:	List[str]							=       src_path
						torch.save(__UpperCAmelCase      ,   __UpperCAmelCase  )


if __name__ == "__main__":
							fire.Fire(convert)



