





'''simple docstring'''






from __future__ import annotations

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




class  _A :

		def __init__(   self					:   List[Any]  ,      __magic_name__					:   Collection[float] | None = None			)					->    None:


					"""simple docstring"""

					if components is None:
								__snake_case					:      Tuple							      =     []
					__snake_case					:      List[str]							      =     list(__magic_name__			)

		def __len__(   self					:   Optional[Any]			)					->    int:


					"""simple docstring"""

					return len(self.__components			)

		def __str__(   self					:   str			)					->    str:


					"""simple docstring"""

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

		def __add__(   self					:   int  ,      __magic_name__					:   Vector			)					->    Vector:


					"""simple docstring"""

					__snake_case					:      List[str]							      =     len(self			)
					if size == len(__magic_name__			):
								__snake_case					:      Any							      =     [self.__components[i] + other.component(__magic_name__			) for i in range(__magic_name__			)]
								return Vector(__magic_name__			)
					else:
								raise Exception("""must have the same size"""			)

		def __sub__(   self					:   List[Any]  ,      __magic_name__					:   Vector			)					->    Vector:


					"""simple docstring"""

					__snake_case					:      Union[str, Any]							      =     len(self			)
					if size == len(__magic_name__			):
								__snake_case					:      Dict							      =     [self.__components[i] - other.component(__magic_name__			) for i in range(__magic_name__			)]
								return Vector(__magic_name__			)
					else:  # error case
								raise Exception("""must have the same size"""			)

		@overload
		def __mul__(   self					:   List[Any]  ,      __magic_name__					:   float			)					->    Vector:


					"""simple docstring"""

					...

		@overload
		def __mul__(   self					:   Any  ,      __magic_name__					:   Vector			)					->    float:


					"""simple docstring"""

					...

		def __mul__(   self					:   Dict  ,      __magic_name__					:   float | Vector			)					->    float | Vector:


					"""simple docstring"""

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

		def 	lowercase__     (   self					:   Dict			)					->    Vector:


					"""simple docstring"""

					return Vector(self.__components			)

		def 	lowercase__     (   self					:   List[str]  ,      __magic_name__					:   int			)					->    float:


					"""simple docstring"""

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

		def 	lowercase__     (   self					:   Dict  ,      __magic_name__					:   int  ,      __magic_name__					:   float			)					->    None:


					"""simple docstring"""

					assert -len(self.__components			) <= pos < len(self.__components			)
					__snake_case					:      str							      =     value

		def 	lowercase__     (   self					:   Any			)					->    float:


					"""simple docstring"""

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

		def 	lowercase__     (   self					:   Tuple  ,      __magic_name__					:   Vector  ,      __magic_name__					:   bool = False			)					->    float:


					"""simple docstring"""

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







def 					_a						(       _lowerCamelCase ) ->				Vector:



			"""simple docstring"""


			assert isinstance(_lowerCamelCase    ,	_lowerCamelCase )
			return Vector([0] * dimension )







def 					_a						(       _lowerCamelCase    ,	_lowerCamelCase ) ->				Vector:



			"""simple docstring"""


			assert isinstance(_lowerCamelCase    ,	_lowerCamelCase ) and (isinstance(_lowerCamelCase    ,	_lowerCamelCase ))
			__snake_case					:      List[Any]							      =     [0] * dimension
			__snake_case					:      Union[str, Any]							      =     1
			return Vector(_lowerCamelCase )







def 					_a						(       _lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase ) ->				Vector:



			"""simple docstring"""


			assert (
			    isinstance(_lowerCamelCase    ,	_lowerCamelCase )
			    and isinstance(_lowerCamelCase    ,	_lowerCamelCase )
			    and (isinstance(_lowerCamelCase    ,	(int, float) ))
			)
			return x * scalar + y







def 					_a						(       _lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase ) ->				Vector:



			"""simple docstring"""


			random.seed(_lowerCamelCase )
			__snake_case					:      List[Any]							      =     [random.randint(_lowerCamelCase    ,	_lowerCamelCase ) for _ in range(_lowerCamelCase )]
			return Vector(_lowerCamelCase )




class  _A :

		def __init__(   self					:   List[Any]  ,      __magic_name__					:   list[list[float]]  ,      __magic_name__					:   int  ,      __magic_name__					:   int			)					->    None:


					"""simple docstring"""

					__snake_case					:      Tuple							      =     matrix
					__snake_case					:      List[str]							      =     w
					__snake_case					:      Union[str, Any]							      =     h

		def __str__(   self					:   str			)					->    str:


					"""simple docstring"""

					__snake_case					:      Optional[int]							      =     """"""
					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					:   Tuple  ,      __magic_name__					:   Matrix			)					->    Matrix:


					"""simple docstring"""

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

		def __sub__(   self					:   int  ,      __magic_name__					:   Matrix			)					->    Matrix:


					"""simple docstring"""

					if self.__width == other.width() and self.__height == other.height():
								__snake_case					:      Optional[Any]							      =     []
								for i in range(self.__height			):
											__snake_case					:      Union[str, Any]							      =     [
											    self.__matrix[i][j] - other.component(__magic_name__  ,      __magic_name__			)
											    for j in range(self.__width			)
											]
											matrix.append(__magic_name__			)
								return Matrix(__magic_name__  ,      self.__width  ,      self.__height			)
					else:
								raise Exception("""matrices must have the same dimension!"""			)

		@overload
		def __mul__(   self					:   int  ,      __magic_name__					:   float			)					->    Matrix:


					"""simple docstring"""

					...

		@overload
		def __mul__(   self					:   List[Any]  ,      __magic_name__					:   Vector			)					->    Vector:


					"""simple docstring"""

					...

		def __mul__(   self					:   Dict  ,      __magic_name__					:   float | Vector			)					->    Vector | Matrix:


					"""simple docstring"""

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

		def 	lowercase__     (   self					:   Union[str, Any]			)					->    int:


					"""simple docstring"""

					return self.__height

		def 	lowercase__     (   self					:   int			)					->    int:


					"""simple docstring"""

					return self.__width

		def 	lowercase__     (   self					:   str  ,      __magic_name__					:   int  ,      __magic_name__					:   int			)					->    float:


					"""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 	lowercase__     (   self					:   Dict  ,      __magic_name__					:   int  ,      __magic_name__					:   int  ,      __magic_name__					:   float			)					->    None:


					"""simple docstring"""

					if 0 <= x < self.__height and 0 <= y < self.__width:
								__snake_case					:      Optional[Any]							      =     value
					else:
								raise Exception("""change_component: indices out of bounds"""			)

		def 	lowercase__     (   self					:   str  ,      __magic_name__					:   int  ,      __magic_name__					:   int			)					->    float:


					"""simple docstring"""

					if self.__height != self.__width:
								raise Exception("""Matrix is not square"""			)
					__snake_case					:      Optional[int]							      =     self.__matrix[:x] + self.__matrix[x + 1 :]
					for i in range(len(__magic_name__			)			):
								__snake_case					:      List[str]							      =     minor[i][:y] + minor[i][y + 1 :]
					return Matrix(__magic_name__  ,      self.__width - 1  ,      self.__height - 1			).determinant()

		def 	lowercase__     (   self					:   List[str]  ,      __magic_name__					:   int  ,      __magic_name__					:   int			)					->    float:


					"""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(__magic_name__  ,      __magic_name__			)
					else:
								raise Exception("""Indices out of bounds"""			)

		def 	lowercase__     (   self					:   Optional[int]			)					->    float:


					"""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:
								__snake_case					:      Tuple							      =     [
								    self.__matrix[0][y] * self.cofactor(0  ,      __magic_name__			) for y in range(self.__width			)
								]
								return sum(__magic_name__			)







def 					_a						(       _lowerCamelCase ) ->				Matrix:



			"""simple docstring"""


			__snake_case					:      list[list[float]]							      =     [[0] * n for _ in range(_lowerCamelCase )]
			return Matrix(_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )







def 					_a						(       _lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase ) ->				Matrix:



			"""simple docstring"""


			random.seed(_lowerCamelCase )
			__snake_case					:      list[list[float]]							      =     [
			    [random.randint(_lowerCamelCase    ,	_lowerCamelCase ) for _ in range(_lowerCamelCase )] for _ in range(_lowerCamelCase )
			]
			return Matrix(_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )









'''simple docstring'''






import doctest
import logging
import os
import unittest
from pathlib import Path
from typing import List, Union

import transformers
from transformers.testing_utils import require_tf, require_torch, slow


__UpperCamelCase					    =	logging.getLogger()




@unittest.skip('''Temporarily disable the doc tests.'''		)
@require_torch
@require_tf
@slow
class  _A (					unittest.TestCase		):

		def 	lowercase__     (   self					:   Optional[int]  ,      __magic_name__					:   Path  ,      __magic_name__					:   Union[str, None] = None  ,      __magic_name__					:   Union[List[str], None] = None  ,      __magic_name__					:   Union[str, List[str], None] = None  ,      __magic_name__					:   bool = True  ,      )					->    Optional[int]:


					"""simple docstring"""

					__snake_case					:      Union[str, Any]							      =     [file for file in os.listdir(__magic_name__			) if os.path.isfile(os.path.join(__magic_name__  ,      __magic_name__			)			)]

					if identifier is not None:
								__snake_case					:      List[Any]							      =     [file for file in files if identifier in file]

					if n_identifier is not None:
								if isinstance(__magic_name__  ,      __magic_name__			):
											for n_ in n_identifier:
														__snake_case					:      Optional[int]							      =     [file for file in files if n_ not in file]
								else:
											__snake_case					:      Tuple							      =     [file for file in files if n_identifier not in file]

					__snake_case					:      Dict							      =     ignore_files or []
					ignore_files.append("""__init__.py"""			)
					__snake_case					:      List[str]							      =     [file for file in files if file not in ignore_files]

					for file in files:
								# Open all files
								print("""Testing"""  ,      __magic_name__			)

								if only_modules:
											__snake_case					:      List[Any]							      =     file.split("""."""			)[0]
											try:
														__snake_case					:      List[Any]							      =     getattr(__magic_name__  ,      __magic_name__			)
														__snake_case					:      Union[str, Any]							      =     doctest.DocTestSuite(__magic_name__			)
														__snake_case					:      Dict							      =     unittest.TextTestRunner().run(__magic_name__			)
														self.assertIs(len(result.failures			)  ,      0			)
											except AttributeError:
														logger.info(f'''{module_identifier} is not a module.'''			)
								else:
											__snake_case					:      Tuple							      =     doctest.testfile(str("""..""" / directory / file			)  ,      optionflags=doctest.ELLIPSIS			)
											self.assertIs(result.failed  ,      0			)

		def 	lowercase__     (   self					:   Union[str, Any]			)					->    Any:


					"""simple docstring"""

					__snake_case					:      List[Any]							      =     Path("""src/transformers"""			)
					__snake_case					:      List[Any]							      =     """modeling"""
					__snake_case					:      Union[str, Any]							      =     [
					    """modeling_ctrl.py""",
					    """modeling_tf_ctrl.py""",
					]
					self.analyze_directory(__magic_name__  ,      identifier=__magic_name__  ,      ignore_files=__magic_name__			)

		def 	lowercase__     (   self					:   Union[str, Any]			)					->    int:


					"""simple docstring"""

					__snake_case					:      Union[str, Any]							      =     Path("""src/transformers"""			)
					__snake_case					:      Any							      =     """tokenization"""
					self.analyze_directory(__magic_name__  ,      identifier=__magic_name__			)

		def 	lowercase__     (   self					:   Union[str, Any]			)					->    int:


					"""simple docstring"""

					__snake_case					:      List[Any]							      =     Path("""src/transformers"""			)
					__snake_case					:      List[str]							      =     """configuration"""
					self.analyze_directory(__magic_name__  ,      identifier=__magic_name__			)

		def 	lowercase__     (   self					:   Dict			)					->    Dict:


					"""simple docstring"""

					__snake_case					:      Tuple							      =     Path("""src/transformers"""			)
					__snake_case					:      int							      =     ["""configuration""", """modeling""", """tokenization"""]
					self.analyze_directory(__magic_name__  ,      n_identifier=__magic_name__			)

		def 	lowercase__     (   self					:   Optional[int]			)					->    Union[str, Any]:


					"""simple docstring"""

					__snake_case					:      int							      =     Path("""docs/source"""			)
					__snake_case					:      Optional[int]							      =     ["""favicon.ico"""]
					self.analyze_directory(__magic_name__  ,      ignore_files=__magic_name__  ,      only_modules=__magic_name__			)


