from __future__ import annotations

from scipy.special import comb  # type: ignore





class       lowercase__		:


						def __init__( self			:       Dict					,	UpperCamelCase__			:       list[tuple[float, float]]		):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:					Any           =							list_of_points
												# Degree determines the flexibility of the curve.
												# Degree = 1 will produce a straight line.
												SCREAMING_SNAKE_CASE							:					List[Any]           =							len(UpperCamelCase__		) - 1


						def  __A ( self			:       List[Any]					,	UpperCamelCase__			:       float		):





												'''simple docstring'''





												assert 0 <= t <= 1, "Time t must be between 0 and 1."
												SCREAMING_SNAKE_CASE							:					list[float]           =							[]
												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  __A ( self			:       Tuple					,	UpperCamelCase__			:       float		):





												'''simple docstring'''





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

												SCREAMING_SNAKE_CASE							:					Dict           =							self.basis_function(UpperCamelCase__		)
												SCREAMING_SNAKE_CASE							:					str           =							0.0
												SCREAMING_SNAKE_CASE							:					List[Any]           =							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			:       Dict					,	UpperCamelCase__			:       float = 0.01		):





												'''simple docstring'''





												from matplotlib import pyplot as plt  # type: ignore

												SCREAMING_SNAKE_CASE							:					list[float]           =							[]  # x coordinates of points to plot
												SCREAMING_SNAKE_CASE							:					list[float]           =							[]  # y coordinates of points to plot

												SCREAMING_SNAKE_CASE							:					List[Any]           =							0.0
												while t <= 1:
																		SCREAMING_SNAKE_CASE							:					int           =							self.bezier_curve_function(UpperCamelCase__		)
																		to_plot_x.append(value[0]		)
																		to_plot_y.append(value[1]		)
																		t += step_size

												SCREAMING_SNAKE_CASE							:					List[str]           =							[i[0] for i in self.list_of_points]
												SCREAMING_SNAKE_CASE							:					List[Any]           =							[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_torch_available, is_vision_available


__UpperCamelCase	: Tuple    		=  {
    'configuration_maskformer': ['MASKFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP', 'MaskFormerConfig'],
    'configuration_maskformer_swin': ['MaskFormerSwinConfig'],
}

try:
					if not is_vision_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					__UpperCamelCase	: Optional[Any]    		=  ['MaskFormerFeatureExtractor']
					__UpperCamelCase	: List[Any]    		=  ['MaskFormerImageProcessor']


try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					__UpperCamelCase	: Optional[int]    		=  [
					    'MASKFORMER_PRETRAINED_MODEL_ARCHIVE_LIST',
					    'MaskFormerForInstanceSegmentation',
					    'MaskFormerModel',
					    'MaskFormerPreTrainedModel',
					]
					__UpperCamelCase	: Union[str, Any]    		=  [
					    'MaskFormerSwinBackbone',
					    'MaskFormerSwinModel',
					    'MaskFormerSwinPreTrainedModel',
					]

if TYPE_CHECKING:
					from .configuration_maskformer import MASKFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, MaskFormerConfig
					from .configuration_maskformer_swin import MaskFormerSwinConfig

					try:
										if not is_vision_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .feature_extraction_maskformer import MaskFormerFeatureExtractor
										from .image_processing_maskformer import MaskFormerImageProcessor
					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_maskformer import (
										    MASKFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
										    MaskFormerForInstanceSegmentation,
										    MaskFormerModel,
										    MaskFormerPreTrainedModel,
										)
										from .modeling_maskformer_swin import (
										    MaskFormerSwinBackbone,
										    MaskFormerSwinModel,
										    MaskFormerSwinPreTrainedModel,
										)


else:
					import sys

					__UpperCamelCase	: List[str]    		=  _LazyModule(__name__, globals()['__file__'], _import_structure)





