






from __future__ import annotations

from scipy.special import comb  # type: ignore






class 		lowercase_					:






      '''simple docstring'''




      def __init__(      self      :						Tuple ,					__UpperCAmelCase      :						list[tuple[float, float]]  )    ->Optional[Any]:




       """simple docstring"""


       a		  =      list_of_points
       # Degree determines the flexibility of the curve.
       # Degree = 1 will produce a straight line.
       a		  =      len(__UpperCAmelCase  ) - 1







      def       __lowerCAmelCase					(      self      :						List[str] ,					__UpperCAmelCase      :						float  )    ->list[float]:




       """simple docstring"""


       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 ,					__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      :						Optional[int] ,					__UpperCAmelCase      :						float  )    ->tuple[float, float]:




       """simple docstring"""


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

       a		  =      self.basis_function(__UpperCAmelCase  )
       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       __lowerCAmelCase					(      self      :						int ,					__UpperCAmelCase      :						float = 0.01  )    ->Optional[int]:




       """simple docstring"""


       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(__UpperCAmelCase  )
        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(
           __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










from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tf_available, is_torch_available


UpperCAmelCase__				   =		{
    "configuration_groupvit": [
        "GROUPVIT_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "GroupViTConfig",
        "GroupViTOnnxConfig",
        "GroupViTTextConfig",
        "GroupViTVisionConfig",
    ],
}

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     UpperCAmelCase__				   =		[
         "GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST",
         "GroupViTModel",
         "GroupViTPreTrainedModel",
         "GroupViTTextModel",
         "GroupViTVisionModel",
     ]

try:
     if not is_tf_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     UpperCAmelCase__				   =		[
         "TF_GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST",
         "TFGroupViTModel",
         "TFGroupViTPreTrainedModel",
         "TFGroupViTTextModel",
         "TFGroupViTVisionModel",
     ]

if TYPE_CHECKING:
     from .configuration_groupvit import (
         GROUPVIT_PRETRAINED_CONFIG_ARCHIVE_MAP,
         GroupViTConfig,
         GroupViTOnnxConfig,
         GroupViTTextConfig,
         GroupViTVisionConfig,
     )

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_groupvit import (
              GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
              GroupViTModel,
              GroupViTPreTrainedModel,
              GroupViTTextModel,
              GroupViTVisionModel,
          )

     try:
          if not is_tf_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_tf_groupvit import (
              TF_GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
              TFGroupViTModel,
              TFGroupViTPreTrainedModel,
              TFGroupViTTextModel,
              TFGroupViTVisionModel,
          )

else:
     import sys

     UpperCAmelCase__				   =		_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)


