

"""simple docstring"""






from __future__ import annotations

from scipy.special import comb  # type: ignore







class 	__UpperCamelCase    :

  def __init__(		self    ,_A      ):
      '''simple docstring'''

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

  def __lowerCamelCase		(		self    ,_A      ):
      '''simple docstring'''

      assert 0 <= t <= 1, "Time t must be between 0 and 1."
      _lowerCAmelCase       :   list[float]  =    []
      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 __lowerCamelCase		(		self    ,_A      ):
      '''simple docstring'''

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

      _lowerCAmelCase       :   Tuple  =    self.basis_function(_A      )
      _lowerCAmelCase       :   Optional[Any]  =    0.0
      _lowerCAmelCase       :   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    ,_A = 0.0_1      ):
      '''simple docstring'''

      from matplotlib import pyplot as plt  # type: ignore

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

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

      _lowerCAmelCase       :   Any  =    [i[0] for i in self.list_of_points]
      _lowerCAmelCase       :   Any  =    [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








"""simple docstring"""






import logging
import os

from .state import PartialState







class 	__UpperCamelCase    (    logging.LoggerAdapter						):

  @staticmethod
  def __lowerCamelCase		(		_A      ):
      '''simple docstring'''

      _lowerCAmelCase       :   Optional[Any]  =    PartialState()
      return not main_process_only or (main_process_only and state.is_main_process)







  def __lowerCamelCase		(		self    ,_A    ,_A    ,*_A    ,**_A      ):
      '''simple docstring'''

      if PartialState._shared_state == {}:
          raise RuntimeError(
              'You must initialize the accelerate state by calling either `PartialState()` or `Accelerator()` before using the logging utility.'      )
      _lowerCAmelCase       :   Tuple  =    kwargs.pop('main_process_only'    ,_A      )
      _lowerCAmelCase       :   Any  =    kwargs.pop('in_order'    ,_A      )

      if self.isEnabledFor(_A      ):
          if self._should_log(_A      ):
              _lowerCAmelCase,					_lowerCAmelCase       :   Optional[int]  =    self.process(_A    ,_A      )
              self.logger.log(_A    ,_A    ,*_A    ,**_A      )

          elif in_order:
              _lowerCAmelCase       :   str  =    PartialState()
              for i in range(state.num_processes      ):
                  if i == state.process_index:
                      _lowerCAmelCase,					_lowerCAmelCase       :   Optional[int]  =    self.process(_A    ,_A      )
                      self.logger.log(_A    ,_A    ,*_A    ,**_A      )
                  state.wait_for_everyone()





def 		lowerCamelCase__		(					_lowerCamelCase ,   _lowerCamelCase = None   ):

    '''simple docstring'''



    if log_level is None:
        _lowerCAmelCase       :   Union[str, Any]  =    os.environ.get('ACCELERATE_LOG_LEVEL' ,   _lowerCamelCase   )
    _lowerCAmelCase       :   int  =    logging.getLogger(_lowerCamelCase   )
    if log_level is not None:
        logger.setLevel(log_level.upper()   )
        logger.root.setLevel(log_level.upper()   )
    return MultiProcessAdapter(_lowerCamelCase ,   {}   )





