



from dataclasses import dataclass
from typing import Optional, Tuple, Union

import numpy as np
import torch

from ..configuration_utils import ConfigMixin, register_to_config
from ..utils import BaseOutput, randn_tensor
from .scheduling_utils import SchedulerMixin
@dataclass
class 				__A					( A_      ):
			UpperCamelCase					:torch.FloatTensor
			UpperCamelCase					:torch.FloatTensor
			UpperCamelCase					:Optional[torch.FloatTensor]     =			None







class 				__A					( A_					, A_      ):
			UpperCamelCase					:Optional[int]     =			2





			@register_to_config
			def __init__(self							,    __magic_name__ = 0.02							,    __magic_name__ = 100							,    __magic_name__ = 1.0_07							,    __magic_name__ = 80							,    __magic_name__ = 0.05							,    __magic_name__ = 50							,    ):
						# standard deviation of the initial noise distribution
						lowerCamelCase__ :      Any								=		sigma_max

						# setable values
						lowerCamelCase__ :      int								=		None
						lowerCamelCase__ :      np.IntTensor								=		None
						lowerCamelCase__ :      torch.FloatTensor								=		None  # sigma(t_i)





			def        _snake_case    (self							,    __magic_name__							,    __magic_name__ = None				):
						return sample





			def        _snake_case    (self							,    __magic_name__							,    __magic_name__ = None				):
						lowerCamelCase__ :      int								=		num_inference_steps
						lowerCamelCase__ :      str								=		np.arange(0							,    self.num_inference_steps				)[::-1].copy()
						lowerCamelCase__ :      Dict								=		torch.from_numpy(__magic_name__				).to(__magic_name__				)
						lowerCamelCase__ :      Tuple								=		[
						    (
						        self.config.sigma_max**2
						        * (self.config.sigma_min**2 / self.config.sigma_max**2) ** (i / (num_inference_steps - 1))
						    )
						    for i in self.timesteps
						]
						lowerCamelCase__ :      str								=		torch.tensor(__magic_name__							,    dtype=torch.floataa							,    device=__magic_name__				)





			def        _snake_case    (self							,    __magic_name__							,    __magic_name__							,    __magic_name__ = None				):
						if self.config.s_min <= sigma <= self.config.s_max:
									lowerCamelCase__ :      Optional[Any]								=		min(self.config.s_churn / self.num_inference_steps							,    2**0.5 - 1				)
						else:
									lowerCamelCase__ :      Tuple								=		0

						# sample eps ~ N(0, S_noise^2 * I)
						lowerCamelCase__ :      Union[str, Any]								=		self.config.s_noise * randn_tensor(sample.shape							,    generator=__magic_name__				).to(sample.device				)
						lowerCamelCase__ :      List[Any]								=		sigma + gamma * sigma
						lowerCamelCase__ :      Union[str, Any]								=		sample + ((sigma_hat**2 - sigma**2) ** 0.5 * eps)

						return sample_hat, sigma_hat





			def        _snake_case    (self							,    __magic_name__							,    __magic_name__							,    __magic_name__							,    __magic_name__							,    __magic_name__ = True							,    ):
						lowerCamelCase__ :      Union[str, Any]								=		sample_hat + sigma_hat * model_output
						lowerCamelCase__ :      int								=		(sample_hat - pred_original_sample) / sigma_hat
						lowerCamelCase__ :      str								=		sample_hat + (sigma_prev - sigma_hat) * derivative

						if not return_dict:
									return (sample_prev, derivative)

						return KarrasVeOutput(
						    prev_sample=__magic_name__							,    derivative=__magic_name__							,    pred_original_sample=__magic_name__				)





			def        _snake_case    (self							,    __magic_name__							,    __magic_name__							,    __magic_name__							,    __magic_name__							,    __magic_name__							,    __magic_name__							,    __magic_name__ = True							,    ):
						lowerCamelCase__ :      Optional[int]								=		sample_prev + sigma_prev * model_output
						lowerCamelCase__ :      List[str]								=		(sample_prev - pred_original_sample) / sigma_prev
						lowerCamelCase__ :      Any								=		sample_hat + (sigma_prev - sigma_hat) * (0.5 * derivative + 0.5 * derivative_corr)

						if not return_dict:
									return (sample_prev, derivative)

						return KarrasVeOutput(
						    prev_sample=__magic_name__							,    derivative=__magic_name__							,    pred_original_sample=__magic_name__				)





			def        _snake_case    (self							,    __magic_name__							,    __magic_name__							,    __magic_name__				):
						raise NotImplementedError()








import unittest

from .lib import (
    Matrix,
    Vector,
    axpy,
    square_zero_matrix,
    unit_basis_vector,
    zero_vector,
)
class 				__A					( unittest.TestCase      ):





			def        _snake_case    (self				):
						lowerCamelCase__ :      List[str]								=		Vector([1, 2, 3]				)
						self.assertEqual(x.component(0				)							,    1				)
						self.assertEqual(x.component(2				)							,    3				)
						lowerCamelCase__ :      str								=		Vector()





			def        _snake_case    (self				):
						lowerCamelCase__ :      Dict								=		Vector([0, 0, 0, 0, 0, 1]				)
						self.assertEqual(str(__magic_name__				)							,    """(0,0,0,0,0,1)"""				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Tuple								=		Vector([1, 2, 3, 4]				)
						self.assertEqual(len(__magic_name__				)							,    4				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Dict								=		Vector([1, 2]				)
						lowerCamelCase__ :      str								=		Vector([1, 2, 3, 4, 5]				)
						lowerCamelCase__ :      int								=		Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]				)
						lowerCamelCase__ :      int								=		Vector([1, -1, 1, -1, 2, -3, 4, -5]				)
						self.assertAlmostEqual(x.euclidean_length()							,    2.2_36							,    3				)
						self.assertAlmostEqual(y.euclidean_length()							,    7.4_16							,    3				)
						self.assertEqual(z.euclidean_length()							,    0				)
						self.assertAlmostEqual(w.euclidean_length()							,    7.6_16							,    3				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      str								=		Vector([1, 2, 3]				)
						lowerCamelCase__ :      Union[str, Any]								=		Vector([1, 1, 1]				)
						self.assertEqual((x + y).component(0				)							,    2				)
						self.assertEqual((x + y).component(1				)							,    3				)
						self.assertEqual((x + y).component(2				)							,    4				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Optional[int]								=		Vector([1, 2, 3]				)
						lowerCamelCase__ :      Any								=		Vector([1, 1, 1]				)
						self.assertEqual((x - y).component(0				)							,    0				)
						self.assertEqual((x - y).component(1				)							,    1				)
						self.assertEqual((x - y).component(2				)							,    2				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Dict								=		Vector([1, 2, 3]				)
						lowerCamelCase__ :      int								=		Vector([2, -1, 4]				)  # for test of dot product
						lowerCamelCase__ :      List[Any]								=		Vector([1, -2, -1]				)
						self.assertEqual(str(x * 3.0				)							,    """(3.0,6.0,9.0)"""				)
						self.assertEqual((a * b)							,    0				)





			def        _snake_case    (self				):
						self.assertEqual(str(zero_vector(10				)				).count("""0"""				)							,    10				)





			def        _snake_case    (self				):
						self.assertEqual(str(unit_basis_vector(3							,    1				)				)							,    """(0,1,0)"""				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Any								=		Vector([1, 2, 3]				)
						lowerCamelCase__ :      str								=		Vector([1, 0, 1]				)
						self.assertEqual(str(axpy(2							,    __magic_name__							,    __magic_name__				)				)							,    """(3,4,7)"""				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Optional[Any]								=		Vector([1, 0, 0, 0, 0, 0]				)
						lowerCamelCase__ :      int								=		x.copy()
						self.assertEqual(str(__magic_name__				)							,    str(__magic_name__				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      int								=		Vector([1, 0, 0]				)
						x.change_component(0							,    0				)
						x.change_component(1							,    1				)
						self.assertEqual(str(__magic_name__				)							,    """(0,1,0)"""				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Optional[Any]								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						self.assertEqual("""|1,2,3|\n|2,4,5|\n|6,7,8|\n"""							,    str(__magic_name__				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      int								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						lowerCamelCase__ :      int								=		[[-3, -14, -10], [-5, -10, -5], [-2, -1, 0]]
						for x in range(a.height()				):
									for y in range(a.width()				):
												self.assertEqual(minors[x][y]							,    a.minor(__magic_name__							,    __magic_name__				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Any								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						lowerCamelCase__ :      Optional[Any]								=		[[-3, 14, -10], [5, -10, 5], [-2, 1, 0]]
						for x in range(a.height()				):
									for y in range(a.width()				):
												self.assertEqual(cofactors[x][y]							,    a.cofactor(__magic_name__							,    __magic_name__				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Optional[int]								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						self.assertEqual(-5							,    a.determinant()				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      List[str]								=		Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]							,    3							,    3				)
						lowerCamelCase__ :      Optional[int]								=		Vector([1, 2, 3]				)
						self.assertEqual("""(14,32,50)"""							,    str(a * x				)				)
						self.assertEqual("""|2,4,6|\n|8,10,12|\n|14,16,18|\n"""							,    str(a * 2				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      str								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						a.change_component(0							,    2							,    5				)
						self.assertEqual("""|1,2,5|\n|2,4,5|\n|6,7,8|\n"""							,    str(__magic_name__				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      List[Any]								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						self.assertEqual(7							,    a.component(2							,    1				)							,    0.01				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Tuple								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						lowerCamelCase__ :      int								=		Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]							,    3							,    3				)
						self.assertEqual("""|2,4,10|\n|4,8,10|\n|12,14,18|\n"""							,    str(a + b				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      str								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						lowerCamelCase__ :      Optional[Any]								=		Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]							,    3							,    3				)
						self.assertEqual("""|0,0,-4|\n|0,0,0|\n|0,0,-2|\n"""							,    str(a - b				)				)





			def        _snake_case    (self				):
						self.assertEqual(
						    """|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n"""							,    str(square_zero_matrix(5				)				)							,    )


if __name__ == "__main__":
				unittest.main()



