




from __future__ import annotations

from scipy.special import comb  # type: ignore




class     snake_case__							:
				"""simple docstring"""



				def __init__(      self				:     Any					,      __lowerCamelCase				:     list[tuple[float, float]]							)					->     Tuple:
							a    =			list_of_points
							# Degree determines the flexibility of the curve.
							# Degree = 1 will produce a straight line.
							a    =			len(__lowerCamelCase							) - 1





				def 							__UpperCAmelCase							(      self				:     Union[str, Any]					,      __lowerCamelCase				:     float							)					->     list[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					,      __lowerCamelCase							) * ((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(__lowerCamelCase							)					,      5							) == 1
							return output_values





				def 							__UpperCAmelCase							(      self				:     Optional[Any]					,      __lowerCamelCase				:     float							)					->     tuple[float, float]:
							assert 0 <= t <= 1, "Time t must be between 0 and 1."

							a    =			self.basis_function(__lowerCamelCase							)
							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				:     Optional[Any]					,      __lowerCamelCase				:     float = 0.01							)					->     List[str]:
							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(__lowerCamelCase							)
										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(
							    __lowerCamelCase					,      __lowerCamelCase					,      color="blue"					,      label="Curve of Degree " + str(self.degree							)					,      )
							plt.scatter(__lowerCamelCase					,      __lowerCamelCase					,      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 time
from contextlib import contextmanager
from pathlib import Path

import pytest
import requests
from huggingface_hub.hf_api import HfApi, HfFolder


_a       =							'__DUMMY_TRANSFORMERS_USER__'
_a       =							'Dummy User'
_a       =							'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'

_a       =							'https://hub-ci.huggingface.co'
_a       =							CI_HUB_ENDPOINT + '/datasets/{repo_id}/resolve/{revision}/{path}'
_a       =							CI_HUB_ENDPOINT + '/{repo_id}/resolve/{revision}/{filename}'
_a       =							Path('~/.huggingface/hub_ci_token').expanduser()




@pytest.fixture
def   _A  (  UpperCamelCase_     :       List[Any])	->						Tuple:
   '''simple docstring'''


   monkeypatch.setattr(
       "huggingface_hub.file_download.HUGGINGFACE_CO_URL_TEMPLATE",			UpperCamelCase_)




@pytest.fixture
def   _A  (  UpperCamelCase_     :       int)	->						List[Any]:
   '''simple docstring'''


   monkeypatch.setattr("datasets.config.HF_ENDPOINT",			UpperCamelCase_)
   monkeypatch.setattr("datasets.config.HUB_DATASETS_URL",			UpperCamelCase_)




@pytest.fixture
def   _A  (  UpperCamelCase_     :       str)	->						Dict:
   '''simple docstring'''


   monkeypatch.setattr("huggingface_hub.hf_api.HfFolder.path_token",			UpperCamelCase_)




@pytest.fixture
def   _A  (  UpperCamelCase_     :       Optional[Any],			UpperCamelCase_     :       List[Any])	->						List[str]:
   '''simple docstring'''


   HfFolder.save_token(UpperCamelCase_)
   yield
   HfFolder.delete_token()




@pytest.fixture(scope="session")
def   _A  (  )	->						List[Any]:
   '''simple docstring'''


   return HfApi(endpoint=UpperCamelCase_)




@pytest.fixture(scope="session")
def   _A  (  UpperCamelCase_     :       HfApi)	->						List[Any]:
   '''simple docstring'''


   __lowercase								=						HfFolder.get_token()
   HfFolder.save_token(UpperCamelCase_)
   yield CI_HUB_USER_TOKEN
   if previous_token is not None:
      HfFolder.save_token(UpperCamelCase_)




@pytest.fixture
def   _A  (  UpperCamelCase_     :       Dict)	->						int:
   '''simple docstring'''


   def _cleanup_repo(UpperCamelCase_     :       Optional[int]):
      hf_api.delete_repo(UpperCamelCase_,			token=UpperCamelCase_,			repo_type="dataset")

   return _cleanup_repo




@pytest.fixture
def   _A  (  UpperCamelCase_     :       str)	->						Any:
   '''simple docstring'''


   @contextmanager
   def _temporary_repo(UpperCamelCase_     :       Any):
      try:
         yield repo_id
      finally:
         cleanup_repo(UpperCamelCase_)

   return _temporary_repo




@pytest.fixture(scope="session")
def   _A  (  UpperCamelCase_     :       HfApi,			UpperCamelCase_     :       str,			UpperCamelCase_     :       Optional[int])	->						List[Any]:
   '''simple docstring'''


   __lowercase								=						F"""repo_txt_data-{int(time.time() * 10E3)}"""
   __lowercase								=						F"""{CI_HUB_USER}/{repo_name}"""
   hf_api.create_repo(UpperCamelCase_,			token=UpperCamelCase_,			repo_type="dataset",			private=UpperCamelCase_)
   hf_api.upload_file(
       token=UpperCamelCase_,			path_or_fileobj=str(UpperCamelCase_),			path_in_repo="data/text_data.txt",			repo_id=UpperCamelCase_,			repo_type="dataset",			)
   yield repo_id
   try:
      hf_api.delete_repo(UpperCamelCase_,			token=UpperCamelCase_,			repo_type="dataset")
   except (requests.exceptions.HTTPError, ValueError):  # catch http error and token invalid error
      pass




@pytest.fixture()
def   _A  (  UpperCamelCase_     :       Tuple,			UpperCamelCase_     :       Any,			UpperCamelCase_     :       Dict)	->						Optional[int]:
   '''simple docstring'''


   return hf_private_dataset_repo_txt_data_




@pytest.fixture(scope="session")
def   _A  (  UpperCamelCase_     :       HfApi,			UpperCamelCase_     :       int,			UpperCamelCase_     :       Optional[int])	->						int:
   '''simple docstring'''


   __lowercase								=						F"""repo_zipped_txt_data-{int(time.time() * 10E3)}"""
   __lowercase								=						F"""{CI_HUB_USER}/{repo_name}"""
   hf_api.create_repo(UpperCamelCase_,			token=UpperCamelCase_,			repo_type="dataset",			private=UpperCamelCase_)
   hf_api.upload_file(
       token=UpperCamelCase_,			path_or_fileobj=str(UpperCamelCase_),			path_in_repo="data.zip",			repo_id=UpperCamelCase_,			repo_type="dataset",			)
   yield repo_id
   try:
      hf_api.delete_repo(UpperCamelCase_,			token=UpperCamelCase_,			repo_type="dataset")
   except (requests.exceptions.HTTPError, ValueError):  # catch http error and token invalid error
      pass




@pytest.fixture()
def   _A  (  UpperCamelCase_     :       List[str],			UpperCamelCase_     :       Dict,			UpperCamelCase_     :       Any)	->						int:
   '''simple docstring'''


   return hf_private_dataset_repo_zipped_txt_data_




@pytest.fixture(scope="session")
def   _A  (  UpperCamelCase_     :       HfApi,			UpperCamelCase_     :       List[str],			UpperCamelCase_     :       List[str])	->						List[Any]:
   '''simple docstring'''


   __lowercase								=						F"""repo_zipped_img_data-{int(time.time() * 10E3)}"""
   __lowercase								=						F"""{CI_HUB_USER}/{repo_name}"""
   hf_api.create_repo(UpperCamelCase_,			token=UpperCamelCase_,			repo_type="dataset",			private=UpperCamelCase_)
   hf_api.upload_file(
       token=UpperCamelCase_,			path_or_fileobj=str(UpperCamelCase_),			path_in_repo="data.zip",			repo_id=UpperCamelCase_,			repo_type="dataset",			)
   yield repo_id
   try:
      hf_api.delete_repo(UpperCamelCase_,			token=UpperCamelCase_,			repo_type="dataset")
   except (requests.exceptions.HTTPError, ValueError):  # catch http error and token invalid error
      pass




@pytest.fixture()
def   _A  (  UpperCamelCase_     :       Union[str, Any],			UpperCamelCase_     :       List[str],			UpperCamelCase_     :       List[str])	->						str:
   '''simple docstring'''


   return hf_private_dataset_repo_zipped_img_data_




