from __future__ import annotations

from scipy.special import comb  # type: ignore
class  A_			:

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

  def 		_UpperCAmelCase (		self			:   Any  ,				__SCREAMING_SNAKE_CASE			:   float							):
   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  ,				__SCREAMING_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(__SCREAMING_SNAKE_CASE							)  ,				5							) == 1
   return output_values

  def 		_UpperCAmelCase (		self			:   List[str]  ,				__SCREAMING_SNAKE_CASE			:   float							):
   assert 0 <= t <= 1, "Time t must be between 0 and 1."

   __a							=	self.basis_function(__SCREAMING_SNAKE_CASE							)
   __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 		_UpperCAmelCase (		self			:   Tuple  ,				__SCREAMING_SNAKE_CASE			:   float = 0.01							):
   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(__SCREAMING_SNAKE_CASE							)
    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(
       __SCREAMING_SNAKE_CASE  ,				__SCREAMING_SNAKE_CASE  ,				color="blue"  ,				label="Curve of Degree " + str(self.degree							)  ,				)
   plt.scatter(__SCREAMING_SNAKE_CASE  ,				__SCREAMING_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



# Copyright 2021 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

from argparse import ArgumentParser

from accelerate.commands.config import get_config_parser
from accelerate.commands.env import env_command_parser
from accelerate.commands.launch import launch_command_parser
from accelerate.commands.test import test_command_parser
from accelerate.commands.tpu import tpu_command_parser



def 	__A		(      ):



 """simple docstring"""


 __a							=	ArgumentParser("Accelerate CLI tool"				,					usage="accelerate <command> [<args>]"				,					allow_abbrev=_A       )
 __a							=	parser.add_subparsers(help="accelerate command helpers"       )

 # Register commands
 get_config_parser(subparsers=_A       )
 env_command_parser(subparsers=_A       )
 launch_command_parser(subparsers=_A       )
 tpu_command_parser(subparsers=_A       )
 test_command_parser(subparsers=_A       )

 # Let's go
 __a							=	parser.parse_args()

 if not hasattr(_A				,					"func"       ):
  parser.print_help()
  exit(1       )

 # Run
 args.func(_A       )


if __name__ == "__main__":
  main()


