

from importlib import import_module

from .logging import get_logger


_UpperCAmelCase	:     Any		       = get_logger(__name__)







class 				lowercase       :




				def __init__(      self   ,     snake_case   ,     snake_case=None ):
											snake_case_           =					attrs or []
											if module is not None:
																		for key in module.__dict__:
																									if key in attrs or not key.startswith('__' ):
																																setattr(self   ,     lowerCAmelCase_   ,     getattr(lowerCAmelCase_   ,     lowerCAmelCase_ ) )
											snake_case_           =					module._original_module if isinstance(lowerCAmelCase_   ,     _PatchedModuleObj ) else module







class 				lowercase       :
				__SCREAMING_SNAKE_CASE      :				List[str]     =    []




				def __init__(      self   ,     snake_case   ,     snake_case   ,     snake_case   ,     snake_case=None ):
											snake_case_           =					obj
											snake_case_           =					target
											snake_case_           =					new
											snake_case_           =					target.split('.' )[0]
											snake_case_           =					{}
											snake_case_           =					attrs or []




				def __enter__(      self ):
											*snake_case_       ,					snake_case_           =					self.target.split('.' )

											# Patch modules:
											# it's used to patch attributes of submodules like "os.path.join";
											# in this case we need to patch "os" and "os.path"

											for i in range(len(lowerCAmelCase_ ) ):
																		try:
																									snake_case_           =					import_module('.'.join(submodules[: i + 1] ) )
																		except ModuleNotFoundError:
																									continue
																		# We iterate over all the globals in self.obj in case we find "os" or "os.path"
																		for attr in self.obj.__dir__():
																									snake_case_           =					getattr(self.obj   ,     lowerCAmelCase_ )
																									# We don't check for the name of the global, but rather if its value *is* "os" or "os.path".
																									# This allows to patch renamed modules like "from os import path as ospath".
																									if obj_attr is submodule or (
																									    (isinstance(lowerCAmelCase_   ,     _PatchedModuleObj ) and obj_attr._original_module is submodule)
																									):
																																snake_case_           =					obj_attr
																																# patch at top level
																																setattr(self.obj   ,     lowerCAmelCase_   ,     _PatchedModuleObj(lowerCAmelCase_   ,     attrs=self.attrs ) )
																																snake_case_           =					getattr(self.obj   ,     lowerCAmelCase_ )
																																# construct lower levels patches
																																for key in submodules[i + 1 :]:
																																							setattr(lowerCAmelCase_   ,     lowerCAmelCase_   ,     _PatchedModuleObj(getattr(lowerCAmelCase_   ,     lowerCAmelCase_   ,     lowerCAmelCase_ )   ,     attrs=self.attrs ) )
																																							snake_case_           =					getattr(lowerCAmelCase_   ,     lowerCAmelCase_ )
																																# finally set the target attribute
																																setattr(lowerCAmelCase_   ,     lowerCAmelCase_   ,     self.new )

        # Patch attribute itself:
        # it's used for builtins like "open",
        # and also to patch "os.path.join" we may also need to patch "join"
        # itself if it was imported as "from os.path import join".

											if submodules:  # if it's an attribute of a submodule like "os.path.join"
																		try:
																									snake_case_           =					getattr(import_module('.'.join(lowerCAmelCase_ ) )   ,     lowerCAmelCase_ )
																		except (AttributeError, ModuleNotFoundError):
																									return
																		# We iterate over all the globals in self.obj in case we find "os.path.join"
																		for attr in self.obj.__dir__():
																									# We don't check for the name of the global, but rather if its value *is* "os.path.join".
																									# This allows to patch renamed attributes like "from os.path import join as pjoin".
																									if getattr(self.obj   ,     lowerCAmelCase_ ) is attr_value:
																																snake_case_           =					getattr(self.obj   ,     lowerCAmelCase_ )
																																setattr(self.obj   ,     lowerCAmelCase_   ,     self.new )
											elif target_attr in globals()["__builtins__"]:  # if it'a s builtin like "open"
																		snake_case_           =					globals()['__builtins__'][target_attr]
																		setattr(self.obj   ,     lowerCAmelCase_   ,     self.new )
											else:
																		raise RuntimeError(F'''Tried to patch attribute {target_attr} instead of a submodule.''' )




				def __exit__(      self   ,     *snake_case ):







											for attr in list(self.original ):
																		setattr(self.obj   ,     lowerCAmelCase_   ,     self.original.pop(lowerCAmelCase_ ) )




				def 					a							(      self ):
											self.__enter__()
											self._active_patches.append(self )




				def 					a							(      self ):







											try:
																		self._active_patches.remove(self )
											except ValueError:
																		# If the patch hasn't been started this will fail
																		return None

											return self.__exit__()





from __future__ import annotations







class 				lowercase       :




				def __init__(      self   ,     snake_case ):
											snake_case_           =					TypeError(
											    'Matrices must be formed from a list of zero or more lists containing at '
											    'least one and the same number of values, each of which must be of type '
											    'int or float.' )
											if len(snake_case ) != 0:
																		snake_case_           =					len(rows[0] )
																		if cols == 0:
																									raise error
																		for row in rows:
																									if len(snake_case ) != cols:
																																raise error
																									for value in row:
																																if not isinstance(snake_case   ,     (int, float) ):
																																							raise error
																		snake_case_           =					rows
											else:
																		snake_case_           =					[]




				def 					a							(      self ):
											return [[row[i] for row in self.rows] for i in range(len(self.rows[0] ) )]




				@property
				def 					a							(      self ):
											return len(self.rows )




				@property
				def 					a							(      self ):
											return len(self.rows[0] )




				@property
				def 					a							(      self ):
											return (self.num_rows, self.num_columns)




				@property
				def 					a							(      self ):
											return self.order[0] == self.order[1]




				def 					a							(      self ):
											snake_case_           =					[
											    [0 if column_num != row_num else 1 for column_num in range(self.num_rows )]
											    for row_num in range(self.num_rows )
											]
											return Matrix(snake_case )




				def 					a							(      self ):
											if not self.is_square:
																		return 0
											if self.order == (0, 0):
																		return 1
											if self.order == (1, 1):
																		return int(self.rows[0][0] )
											if self.order == (2, 2):
																		return int(
																		    (self.rows[0][0] * self.rows[1][1])
																		    - (self.rows[0][1] * self.rows[1][0]) )
											else:
																		return sum(
																		    self.rows[0][column] * self.cofactors().rows[0][column]
																		    for column in range(self.num_columns ) )




				def 					a							(      self ):
											return bool(self.determinant() )




				def 					a							(      self   ,     snake_case   ,     snake_case ):
											snake_case_           =					[
											    [
											        self.rows[other_row][other_column]
											        for other_column in range(self.num_columns )
											        if other_column != column
											    ]
											    for other_row in range(self.num_rows )
											    if other_row != row
											]
											return Matrix(snake_case ).determinant()




				def 					a							(      self   ,     snake_case   ,     snake_case ):
											if (row + column) % 2 == 0:
																		return self.get_minor(snake_case   ,     snake_case )
											return -1 * self.get_minor(snake_case   ,     snake_case )




				def 					a							(      self ):
											return Matrix(
											    [
											        [self.get_minor(snake_case   ,     snake_case ) for column in range(self.num_columns )]
											        for row in range(self.num_rows )
											    ] )




				def 					a							(      self ):
											return Matrix(
											    [
											        [
											            self.minors().rows[row][column]
											            if (row + column) % 2 == 0
											            else self.minors().rows[row][column] * -1
											            for column in range(self.minors().num_columns )
											        ]
											        for row in range(self.minors().num_rows )
											    ] )




				def 					a							(      self ):
											snake_case_           =					[
											    [self.cofactors().rows[column][row] for column in range(self.num_columns )]
											    for row in range(self.num_rows )
											]
											return Matrix(snake_case )




				def 					a							(      self ):
											snake_case_           =					self.determinant()
											if not determinant:
																		raise TypeError('Only matrices with a non-zero determinant have an inverse' )
											return self.adjugate() * (1 / determinant)




				def __repr__(      self ):
											return str(self.rows )




				def __str__(      self ):
											if self.num_rows == 0:
																		return "[]"
											if self.num_rows == 1:
																		return "[[" + ". ".join(str(self.rows[0] ) ) + "]]"
											return (
											    "["
											    + "\n ".join(
											        [
											            '[' + '. '.join([str(snake_case ) for value in row] ) + '.]'
											            for row in self.rows
											        ] )
											    + "]"
											)




				def 					a							(      self   ,     snake_case   ,     snake_case = None ):
											snake_case_           =					TypeError('Row must be a list containing all ints and/or floats' )
											if not isinstance(snake_case   ,     snake_case ):
																		raise type_error
											for value in row:
																		if not isinstance(snake_case   ,     (int, float) ):
																									raise type_error
											if len(snake_case ) != self.num_columns:
																		raise ValueError(
																		    'Row must be equal in length to the other rows in the matrix' )
											if position is None:
																		self.rows.append(snake_case )
											else:
																		snake_case_           =					self.rows[0:position] + [row] + self.rows[position:]




				def 					a							(      self   ,     snake_case   ,     snake_case = None ):
											snake_case_           =					TypeError(
											    'Column must be a list containing all ints and/or floats' )
											if not isinstance(snake_case   ,     snake_case ):
																		raise type_error
											for value in column:
																		if not isinstance(snake_case   ,     (int, float) ):
																									raise type_error
											if len(snake_case ) != self.num_rows:
																		raise ValueError(
																		    'Column must be equal in length to the other columns in the matrix' )
											if position is None:
																		snake_case_           =					[self.rows[i] + [column[i]] for i in range(self.num_rows )]
											else:
																		snake_case_           =					[
																		    self.rows[i][0:position] + [column[i]] + self.rows[i][position:]
																		    for i in range(self.num_rows )
																		]




				def __eq__(      self   ,     snake_case ):
											if not isinstance(snake_case   ,     snake_case ):
																		return NotImplemented
											return self.rows == other.rows




				def __ne__(      self   ,     snake_case ):
											return not self == other




				def __neg__(      self ):
											return self * -1




				def __add__(      self   ,     snake_case ):
											if self.order != other.order:
																		raise ValueError('Addition requires matrices of the same order' )
											return Matrix(
											    [
											        [self.rows[i][j] + other.rows[i][j] for j in range(self.num_columns )]
											        for i in range(self.num_rows )
											    ] )




				def __sub__(      self   ,     snake_case ):
											if self.order != other.order:
																		raise ValueError('Subtraction requires matrices of the same order' )
											return Matrix(
											    [
											        [self.rows[i][j] - other.rows[i][j] for j in range(self.num_columns )]
											        for i in range(self.num_rows )
											    ] )




				def __mul__(      self   ,     snake_case ):
											if isinstance(snake_case   ,     (int, float) ):
																		return Matrix(
																		    [[int(element * other ) for element in row] for row in self.rows] )
											elif isinstance(snake_case   ,     snake_case ):
																		if self.num_columns != other.num_rows:
																									raise ValueError(
																									    'The number of columns in the first matrix must '
																									    'be equal to the number of rows in the second' )
																		return Matrix(
																		    [
																		        [Matrix.dot_product(snake_case   ,     snake_case ) for column in other.columns()]
																		        for row in self.rows
																		    ] )
											else:
																		raise TypeError(
																		    'A Matrix can only be multiplied by an int, float, or another matrix' )




				def __pow__(      self   ,     snake_case ):
											if not isinstance(snake_case   ,     snake_case ):
																		raise TypeError('A Matrix can only be raised to the power of an int' )
											if not self.is_square:
																		raise ValueError('Only square matrices can be raised to a power' )
											if other == 0:
																		return self.identity()
											if other < 0:
																		if self.is_invertable():
																									return self.inverse() ** (-other)
																		raise ValueError(
																		    'Only invertable matrices can be raised to a negative power' )
											snake_case_           =					self
											for _ in range(other - 1 ):
																		result *= self
											return result




				@classmethod
				def 					a							(      cls   ,     snake_case   ,     snake_case ):
											return sum(row[i] * column[i] for i in range(len(snake_case ) ) )


if __name__ == "__main__":
					import doctest

					doctest.testmod()




