





from __future__ import annotations

from scipy.special import comb  # type: ignore



class  __lowerCAmelCase	:






			def __init__(self ,							__magic_name__   )					->       str:


							'''simple docstring'''



							snake_case_						:   Union[str, Any]           =  list_of_points
							# Degree determines the flexibility of the curve.
							# Degree = 1 will produce a straight line.
							snake_case_						:   Any           =  len(UpperCAmelCase__   ) - 1






			def       lowerCamelCase  (self ,							__magic_name__   )					->       list[float]:


							'''simple docstring'''



							assert 0 <= t <= 1, "Time t must be between 0 and 1."
							snake_case_						:   List[str]           =  []
							for i in range(len(self.list_of_points   )   ):
											# basis function for each i
											output_values.append(
											    comb(self.degree ,							UpperCAmelCase__   ) * ((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(UpperCAmelCase__   ) ,							5   ) == 1
							return output_values






			def       lowerCamelCase  (self ,							__magic_name__   )					->       tuple[float, float]:


							'''simple docstring'''



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

							snake_case_						:   Any           =  self.basis_function(UpperCAmelCase__   )
							snake_case_						:   int           =  0.0
							snake_case_						:   Dict           =  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 ,							__magic_name__ = 0.01   )					->       Optional[int]:


							'''simple docstring'''



							from matplotlib import pyplot as plt  # type: ignore

							snake_case_						:   Dict           =  []  # x coordinates of points to plot
							snake_case_						:   Optional[Any]           =  []  # y coordinates of points to plot

							snake_case_						:   str           =  0.0
							while t <= 1:
											snake_case_						:   Tuple           =  self.bezier_curve_function(UpperCAmelCase__   )
											to_plot_x.append(value[0]   )
											to_plot_y.append(value[1]   )
											t += step_size

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

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







import unittest

from transformers import load_tool
from transformers.utils import is_torch_available


if is_torch_available():
	import torch

from transformers.testing_utils import require_torch

from .test_tools_common import ToolTesterMixin



@require_torch
class  __lowerCAmelCase	(      unittest.TestCase,					_a					):






			def       lowerCamelCase  (self   )					->       int:


							'''simple docstring'''



							snake_case_						:   Dict           =  load_tool('''text-to-speech'''   )
							self.tool.setup()






			def       lowerCamelCase  (self   )					->       List[str]:


							'''simple docstring'''



							torch.manual_seed(0   )
							snake_case_						:   Optional[int]           =  self.tool('''hey'''   )
							snake_case_						:   Union[str, Any]           =  result.to_raw()
							self.assertTrue(
							    torch.allclose(
							        resulting_tensor[:3] ,							torch.tensor([-0.0_005_966_668_832_115_829, -0.0_003_657_640_190_795_064, -0.00_013_439_502_799_883_485]   ) ,							)   )






			def       lowerCamelCase  (self   )					->       Optional[Any]:


							'''simple docstring'''



							torch.manual_seed(0   )
							snake_case_						:   Any           =  self.tool('''hey'''   )
							snake_case_						:   str           =  result.to_raw()
							self.assertTrue(
							    torch.allclose(
							        resulting_tensor[:3] ,							torch.tensor([-0.0_005_966_668_832_115_829, -0.0_003_657_640_190_795_064, -0.00_013_439_502_799_883_485]   ) ,							)   )
