





from __future__ import annotations

from scipy.special import comb  # type: ignore







class 	__lowerCAmelCase      :





   def __init__(			self       ,      snake_case   )					->	List[str]:
      """simple docstring"""





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





   def 						_snake_case			(			self       ,      snake_case   )					->	list[float]:
      """simple docstring"""





      assert 0 <= t <= 1, "Time t must be between 0 and 1."
      a__						:    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 						_snake_case			(			self       ,      snake_case   )					->	tuple[float, float]:
      """simple docstring"""





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

      a__						:    Optional[int]   		=	self.basis_function(snake_case   )
      a__						:    Optional[Any]   		=	0.0
      a__						:    Optional[int]   		=	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 						_snake_case			(			self       ,      snake_case = 0.01   )					->	Union[str, Any]:
      """simple docstring"""





      from matplotlib import pyplot as plt  # type: ignore

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

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

      a__						:    int   		=	[i[0] for i in self.list_of_points]
      a__						:    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








from packaging import version

from .import_utils import is_accelerate_available


if is_accelerate_available():
  import accelerate






def    _A	(   lowerCamelCase ):
   if not is_accelerate_available():
      return method
   a__						:    List[Any]   		=	version.parse(accelerate.__version__ ).base_version
   if version.parse(lowerCamelCase ) < version.parse("0.17.0" ):
      return method

   def wrapper(self				,			*lowerCamelCase				,			**lowerCamelCase ):
      if hasattr(self				,			"_hf_hook" ) and hasattr(self._hf_hook				,			"pre_forward" ):
         self._hf_hook.pre_forward(self )
      return method(self				,			*lowerCamelCase				,			**lowerCamelCase )

   return wrapper

