from __future__ import annotations

from scipy.special import comb  # type: ignore





class 		_lowercase						:

 def __init__( self	:							Dict   ,      snake_case	:							list[tuple[float, float]]			)   ->						List[Any]:

  """simple docstring"""





  UpperCamelCase_					:						List[Any] =					list_of_points
  # Degree determines the flexibility of the curve.
  # Degree = 1 will produce a straight line.
  UpperCamelCase_					:						Dict =					len(snake_case			) - 1

 def 						SCREAMING_SNAKE_CASE__   ( self	:							Union[str, Any]   ,      snake_case	:							float			)   ->						list[float]:

  """simple docstring"""





  assert 0 <= t <= 1, "Time t must be between 0 and 1."
  UpperCamelCase_					:						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 						SCREAMING_SNAKE_CASE__   ( self	:							Optional[int]   ,      snake_case	:							float			)   ->						tuple[float, float]:

  """simple docstring"""





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

  UpperCamelCase_					:						Optional[Any] =					self.basis_function(snake_case			)
  UpperCamelCase_					:						Dict =					0.0
  UpperCamelCase_					:						List[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 						SCREAMING_SNAKE_CASE__   ( self	:							Optional[int]   ,      snake_case	:							float = 0.01			)   ->						Dict:

  """simple docstring"""





  from matplotlib import pyplot as plt  # type: ignore

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

  UpperCamelCase_					:						Any =					0.0
  while t <= 1:
   UpperCamelCase_					:						List[Any] =					self.bezier_curve_function(snake_case			)
   to_plot_x.append(value[0]			)
   to_plot_y.append(value[1]			)
   t += step_size

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




import fire

from transformers import AutoConfig, AutoModelForSeqaSeqLM, AutoTokenizer





def    __lowercase     (						lowerCamelCase					:     str  ,  lowerCamelCase					:     str  ,  **lowerCamelCase					:     List[Any]	):
 UpperCamelCase_					:						Union[str, Any] =					AutoConfig.from_pretrained(lowerCamelCase  ,  **lowerCamelCase	)
 UpperCamelCase_					:						str =					AutoModelForSeqaSeqLM.from_config(lowerCamelCase	)
 model.save_pretrained(lowerCamelCase	)
 AutoTokenizer.from_pretrained(lowerCamelCase	).save_pretrained(lowerCamelCase	)
 return model


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



