



'''simple docstring'''




from __future__ import annotations

from scipy.special import comb  # type: ignore







class 	_lowerCAmelCase							:


	def __init__(self       ,      lowercase							):
				A_	:						Union[str, Any]	=     list_of_points
				# Degree determines the flexibility of the curve.
				# Degree = 1 will produce a straight line.
				A_	:						Optional[int]	=     len(lowercase							) - 1


	def     _a	(self       ,      lowercase							):
				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       ,      lowercase							) * ((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(lowercase							)       ,      5							) == 1
				return output_values


	def     _a	(self       ,      lowercase							):
				assert 0 <= t <= 1, "Time t must be between 0 and 1."

				A_	:						Union[str, Any]	=     self.basis_function(lowercase							)
				A_	:						List[Any]	=     0.0
				A_	:						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     _a	(self       ,      lowercase = 0.01							):
				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_	:						Dict	=     self.bezier_curve_function(lowercase							)
							to_plot_x.append(value[0]							)
							to_plot_y.append(value[1]							)
							t += step_size

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

				plt.plot(
				    lowercase       ,      lowercase       ,      color="""blue"""       ,      label="""Curve of Degree """ + str(self.degree							)       ,      )
				plt.scatter(lowercase       ,      lowercase       ,      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'''




# 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.

import argparse

from .config import config_command_parser
from .config_args import default_config_file, load_config_from_file  # noqa: F401
from .default import default_command_parser
from .update import update_command_parser



def 	a			( lowerCamelCase__=None    ):
			'''simple docstring'''





			A_	:						int	=     argparse.ArgumentParser(add_help=lowerCamelCase__						,      allow_abbrev=lowerCamelCase__    )
			# The main config parser
			A_	:						int	=     config_command_parser(lowerCamelCase__    )
			# The subparser to add commands to
			A_	:						int	=     config_parser.add_subparsers(title="""subcommands"""						,      dest="""subcommand"""    )

			# Then add other parsers with the parent parser
			default_command_parser(lowerCamelCase__						,      parents=[parent_parser]    )
			update_command_parser(lowerCamelCase__						,      parents=[parent_parser]    )

			return config_parser



def 	a			( ):
			'''simple docstring'''





			A_	:						Optional[int]	=     get_config_parser()
			A_	:						List[str]	=     config_parser.parse_args()

			if not hasattr(lowerCamelCase__						,      """func"""    ):
						config_parser.print_help()
						exit(1    )

			# Run
			args.func(lowerCamelCase__    )


if __name__ == "__main__":
						main()