from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload




class 			__magic_name__	:





   """simple docstring"""




   def __init__(						self       :	Any		,	_lowercase       :	Collection[float] | None = None				):



    """simple docstring"""



    if components is None:
     _UpperCamelCase:  Dict    						=			[]
    _UpperCamelCase:  Optional[Any]    						=			list(_lowercase				)



   def __len__(						self       :	str				):



    """simple docstring"""



    return len(self.__components				)



   def __str__(						self       :	Dict				):



    """simple docstring"""



    return "(" + ",".join(map(_lowercase		,	self.__components				)				) + ")"



   def __add__(						self       :	Any		,	_lowercase       :	Vector				):



    """simple docstring"""



    _UpperCamelCase:  Tuple    						=			len(self				)
    if size == len(_lowercase				):
     _UpperCamelCase:  Union[str, Any]    						=			[self.__components[i] + other.component(_lowercase				) for i in range(_lowercase				)]
     return Vector(_lowercase				)
    else:
     raise Exception('''must have the same size'''				)



   def __sub__(						self       :	Union[str, Any]		,	_lowercase       :	Vector				):



    """simple docstring"""



    _UpperCamelCase:  List[Any]    						=			len(self				)
    if size == len(_lowercase				):
     _UpperCamelCase:  List[str]    						=			[self.__components[i] - other.component(_lowercase				) for i in range(_lowercase				)]
     return Vector(_lowercase				)
    else:  # error case
     raise Exception('''must have the same size'''				)



   @overload
   def __mul__(						self       :	List[Any]		,	_lowercase       :	float				):



    """simple docstring"""



    ...



   @overload
   def __mul__(						self       :	List[Any]		,	_lowercase       :	Vector				):



    """simple docstring"""



    ...



   def __mul__(						self       :	Union[str, Any]		,	_lowercase       :	float | Vector				):



    """simple docstring"""



    if isinstance(_lowercase		,	(float, int)				):
     _UpperCamelCase:  Optional[Any]    						=			[c * other for c in self.__components]
     return Vector(_lowercase				)
    elif isinstance(_lowercase		,	_lowercase				) and len(self				) == len(_lowercase				):
     _UpperCamelCase:  Tuple    						=			len(self				)
     _UpperCamelCase:  str    						=			[self.__components[i] * other.component(_lowercase				) for i in range(_lowercase				)]
     return sum(_lowercase				)
    else:  # error case
     raise Exception('''invalid operand!'''				)



   def 	lowerCAmelCase    (						self       :	Dict				):



    """simple docstring"""



    return Vector(self.__components				)



   def 	lowerCAmelCase    (						self       :	Any		,	_lowercase       :	int				):



    """simple docstring"""



    if isinstance(_lowercase		,	_lowercase				) and -len(self.__components				) <= i < len(self.__components				):
     return self.__components[i]
    else:
     raise Exception('''index out of range'''				)



   def 	lowerCAmelCase    (						self       :	List[Any]		,	_lowercase       :	int		,	_lowercase       :	float				):



    """simple docstring"""



    assert -len(self.__components				) <= pos < len(self.__components				)
    _UpperCamelCase:  Dict    						=			value



   def 	lowerCAmelCase    (						self       :	Optional[int]				):



    """simple docstring"""



    if len(self.__components				) == 0:
     raise Exception('''Vector is empty'''				)
    _UpperCamelCase:  str    						=			[c**2 for c in self.__components]
    return math.sqrt(sum(_lowercase				)				)



   def 	lowerCAmelCase    (						self       :	Union[str, Any]		,	_lowercase       :	Vector		,	_lowercase       :	bool = False				):



    """simple docstring"""



    _UpperCamelCase:  List[Any]    						=			self * other
    _UpperCamelCase:  Tuple    						=			self.euclidean_length() * other.euclidean_length()
    if deg:
     return math.degrees(math.acos(num / den				)				)
    else:
     return math.acos(num / den				)




def    lowerCAmelCase_  (		lowercase:				int		)     ->					Vector:







 '''simple docstring'''
 assert isinstance(lowercase	,       lowercase		)
 return Vector([0] * dimension		)




def    lowerCAmelCase_  (		lowercase:				int	,       lowercase:				int		)     ->					Vector:







 '''simple docstring'''
 assert isinstance(lowercase	,       lowercase		) and (isinstance(lowercase	,       lowercase		))
 _UpperCamelCase:  Any    						=			[0] * dimension
 _UpperCamelCase:  Tuple    						=			1
 return Vector(lowercase		)




def    lowerCAmelCase_  (		lowercase:				float	,       lowercase:				Vector	,       lowercase:				Vector		)     ->					Vector:







 '''simple docstring'''
 assert (
     isinstance(lowercase	,       lowercase		)
     and isinstance(lowercase	,       lowercase		)
     and (isinstance(lowercase	,       (int, float)		))
 )
 return x * scalar + y




def    lowerCAmelCase_  (		lowercase:				int	,       lowercase:				int	,       lowercase:				int		)     ->					Vector:







 '''simple docstring'''
 random.seed(lowercase		)
 _UpperCamelCase:  Tuple    						=			[random.randint(lowercase	,       lowercase		) for _ in range(lowercase		)]
 return Vector(lowercase		)




class 			__magic_name__	:





   """simple docstring"""




   def __init__(						self       :	List[str]		,	_lowercase       :	list[list[float]]		,	_lowercase       :	int		,	_lowercase       :	int				):



    """simple docstring"""



    _UpperCamelCase:  List[str]    						=			matrix
    _UpperCamelCase:  int    						=			w
    _UpperCamelCase:  Optional[int]    						=			h



   def __str__(						self       :	List[str]				):



    """simple docstring"""



    _UpperCamelCase:  Tuple    						=			''''''
    for i in range(self.__height				):
     ans += "|"
     for j in range(self.__width				):
      if j < self.__width - 1:
       ans += str(self.__matrix[i][j]				) + ","
      else:
       ans += str(self.__matrix[i][j]				) + "|\n"
    return ans



   def __add__(						self       :	List[str]		,	_lowercase       :	Matrix				):



    """simple docstring"""



    if self.__width == other.width() and self.__height == other.height():
     _UpperCamelCase:  str    						=			[]
     for i in range(self.__height				):
      _UpperCamelCase:  Tuple    						=			[
          self.__matrix[i][j] + other.component(_lowercase		,	_lowercase				)
          for j in range(self.__width				)
      ]
      matrix.append(_lowercase				)
     return Matrix(_lowercase		,	self.__width		,	self.__height				)
    else:
     raise Exception('''matrix must have the same dimension!'''				)



   def __sub__(						self       :	Optional[int]		,	_lowercase       :	Matrix				):



    """simple docstring"""



    if self.__width == other.width() and self.__height == other.height():
     _UpperCamelCase:  List[str]    						=			[]
     for i in range(self.__height				):
      _UpperCamelCase:  List[str]    						=			[
          self.__matrix[i][j] - other.component(_lowercase		,	_lowercase				)
          for j in range(self.__width				)
      ]
      matrix.append(_lowercase				)
     return Matrix(_lowercase		,	self.__width		,	self.__height				)
    else:
     raise Exception('''matrices must have the same dimension!'''				)



   @overload
   def __mul__(						self       :	Any		,	_lowercase       :	float				):



    """simple docstring"""



    ...



   @overload
   def __mul__(						self       :	List[Any]		,	_lowercase       :	Vector				):



    """simple docstring"""



    ...



   def __mul__(						self       :	Any		,	_lowercase       :	float | Vector				):



    """simple docstring"""



    if isinstance(_lowercase		,	_lowercase				):  # matrix-vector
     if len(_lowercase				) == self.__width:
      _UpperCamelCase:  int    						=			zero_vector(self.__height				)
      for i in range(self.__height				):
       _UpperCamelCase:  int    						=			[
           self.__matrix[i][j] * other.component(_lowercase				)
           for j in range(self.__width				)
       ]
       ans.change_component(_lowercase		,	sum(_lowercase				)				)
      return ans
     else:
      raise Exception(
          '''vector must have the same size as the '''
          '''number of columns of the matrix!'''				)
    elif isinstance(_lowercase		,	(int, float)				):  # matrix-scalar
     _UpperCamelCase:  Union[str, Any]    						=			[
         [self.__matrix[i][j] * other for j in range(self.__width				)]
         for i in range(self.__height				)
     ]
     return Matrix(_lowercase		,	self.__width		,	self.__height				)
    return None



   def 	lowerCAmelCase    (						self       :	Dict				):



    """simple docstring"""



    return self.__height



   def 	lowerCAmelCase    (						self       :	Dict				):



    """simple docstring"""



    return self.__width



   def 	lowerCAmelCase    (						self       :	int		,	_lowercase       :	int		,	_lowercase       :	int				):



    """simple docstring"""



    if 0 <= x < self.__height and 0 <= y < self.__width:
     return self.__matrix[x][y]
    else:
     raise Exception('''change_component: indices out of bounds'''				)



   def 	lowerCAmelCase    (						self       :	Dict		,	_lowercase       :	int		,	_lowercase       :	int		,	_lowercase       :	float				):



    """simple docstring"""



    if 0 <= x < self.__height and 0 <= y < self.__width:
     _UpperCamelCase:  Tuple    						=			value
    else:
     raise Exception('''change_component: indices out of bounds'''				)



   def 	lowerCAmelCase    (						self       :	Optional[Any]		,	_lowercase       :	int		,	_lowercase       :	int				):



    """simple docstring"""



    if self.__height != self.__width:
     raise Exception('''Matrix is not square'''				)
    _UpperCamelCase:  str    						=			self.__matrix[:x] + self.__matrix[x + 1 :]
    for i in range(len(_lowercase				)				):
     _UpperCamelCase:  str    						=			minor[i][:y] + minor[i][y + 1 :]
    return Matrix(_lowercase		,	self.__width - 1		,	self.__height - 1				).determinant()



   def 	lowerCAmelCase    (						self       :	Optional[Any]		,	_lowercase       :	int		,	_lowercase       :	int				):



    """simple docstring"""



    if self.__height != self.__width:
     raise Exception('''Matrix is not square'''				)
    if 0 <= x < self.__height and 0 <= y < self.__width:
     return (-1) ** (x + y) * self.minor(_lowercase		,	_lowercase				)
    else:
     raise Exception('''Indices out of bounds'''				)



   def 	lowerCAmelCase    (						self       :	Union[str, Any]				):



    """simple docstring"""



    if self.__height != self.__width:
     raise Exception('''Matrix is not square'''				)
    if self.__height < 1:
     raise Exception('''Matrix has no element'''				)
    elif self.__height == 1:
     return self.__matrix[0][0]
    elif self.__height == 2:
     return (
         self.__matrix[0][0] * self.__matrix[1][1]
         - self.__matrix[0][1] * self.__matrix[1][0]
     )
    else:
     _UpperCamelCase:  Dict    						=			[
         self.__matrix[0][y] * self.cofactor(0		,	_lowercase				) for y in range(self.__width				)
     ]
     return sum(_lowercase				)




def    lowerCAmelCase_  (		lowercase:				int		)     ->					Matrix:







 '''simple docstring'''
 _UpperCamelCase:  list[list[float]]    						=			[[0] * n for _ in range(lowercase		)]
 return Matrix(lowercase	,       lowercase	,       lowercase		)





def    lowerCAmelCase_  (		lowercase:				int	,       lowercase:				int	,       lowercase:				int	,       lowercase:				int		)     ->					Matrix:







 '''simple docstring'''
 random.seed(lowercase		)
 _UpperCamelCase:  list[list[float]]    						=			[
     [random.randint(lowercase	,       lowercase		) for _ in range(lowercase		)] for _ in range(lowercase		)
 ]
 return Matrix(lowercase	,       lowercase	,       lowercase		)
import unittest

import torch

from diffusers import VQModel
from diffusers.utils import floats_tensor, torch_device
from diffusers.utils.testing_utils import enable_full_determinism

from .test_modeling_common import ModelTesterMixin, UNetTesterMixin


enable_full_determinism()




class 			__magic_name__	(		__a   ,						__a   ,						unittest.TestCase     ):





   """simple docstring"""




   lowerCAmelCase   :     Dict	      = VQModel
   lowerCAmelCase   :     List[str]	      = '''sample'''



   @property
   def 	lowerCAmelCase    (						self       :	List[Any]		,	_lowercase       :	Tuple=(32, 32)				):



    """simple docstring"""



    _UpperCamelCase:  List[Any]    						=			4
    _UpperCamelCase:  Tuple    						=			3

    _UpperCamelCase:  List[str]    						=			floats_tensor((batch_size, num_channels) + sizes				).to(_lowercase				)

    return {"sample": image}



   @property
   def 	lowerCAmelCase    (						self       :	List[Any]				):



    """simple docstring"""



    return (3, 32, 32)



   @property
   def 	lowerCAmelCase    (						self       :	str				):



    """simple docstring"""



    return (3, 32, 32)



   def 	lowerCAmelCase    (						self       :	Optional[int]				):



    """simple docstring"""



    _UpperCamelCase:  Any    						=			{
        '''block_out_channels''': [32, 64],
        '''in_channels''': 3,
        '''out_channels''': 3,
        '''down_block_types''': ['''DownEncoderBlock2D''', '''DownEncoderBlock2D'''],
        '''up_block_types''': ['''UpDecoderBlock2D''', '''UpDecoderBlock2D'''],
        '''latent_channels''': 3,
    }
    _UpperCamelCase:  Optional[Any]    						=			self.dummy_input
    return init_dict, inputs_dict



   def 	lowerCAmelCase    (						self       :	List[Any]				):



    """simple docstring"""



    pass



   def 	lowerCAmelCase    (						self       :	List[Any]				):



    """simple docstring"""



    pass



   def 	lowerCAmelCase    (						self       :	Optional[Any]				):



    """simple docstring"""



    _UpperCamelCase						,				_UpperCamelCase:  int    						=			VQModel.from_pretrained('''fusing/vqgan-dummy'''		,	output_loading_info=_lowercase				)
    self.assertIsNotNone(_lowercase				)
    self.assertEqual(len(loading_info['''missing_keys''']				)		,	0				)

    model.to(_lowercase				)
    _UpperCamelCase:  Tuple    						=			model(**self.dummy_input				)

    assert image is not None, "Make sure output is not None"



   def 	lowerCAmelCase    (						self       :	Optional[Any]				):



    """simple docstring"""



    _UpperCamelCase:  Dict    						=			VQModel.from_pretrained('''fusing/vqgan-dummy'''				)
    model.to(_lowercase				).eval()

    torch.manual_seed(0				)
    if torch.cuda.is_available():
     torch.cuda.manual_seed_all(0				)

    _UpperCamelCase:  int    						=			torch.randn(1		,	model.config.in_channels		,	model.config.sample_size		,	model.config.sample_size				)
    _UpperCamelCase:  Tuple    						=			image.to(_lowercase				)
    with torch.no_grad():
     _UpperCamelCase:  Optional[int]    						=			model(_lowercase				).sample

    _UpperCamelCase:  List[Any]    						=			output[0, -1, -3:, -3:].flatten().cpu()
    # fmt: off
    _UpperCamelCase:  Any    						=			torch.tensor([-0.0153, -0.4044, -0.1880, -0.5161, -0.2418, -0.4072, -0.1612, -0.0633, -0.0143]				)
    # fmt: on
    self.assertTrue(torch.allclose(_lowercase		,	_lowercase		,	atol=1E-3				)				)