




from __future__ import annotations

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


class     UpperCamelCase_   :

    '''simple docstring'''






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





        '''simple docstring'''

        if components is None:
            A__							=   []
        A__							=   list(UpperCAmelCase__)


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





        '''simple docstring'''

        return len(self.__components)


    def __str__(      self				:     int)						->str:





        '''simple docstring'''

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


    def __add__(      self				:     Tuple ,			UpperCAmelCase__				:     Vector)						->Vector:





        '''simple docstring'''

        A__							=   len(self)
        if size == len(UpperCAmelCase__):
            A__							=   [self.__components[i] + other.component(UpperCAmelCase__) for i in range(UpperCAmelCase__)]
            return Vector(UpperCAmelCase__)
        else:
            raise Exception('''must have the same size''')


    def __sub__(      self				:     Union[str, Any] ,			UpperCAmelCase__				:     Vector)						->Vector:





        '''simple docstring'''

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


    @overload
    def __mul__(      self				:     str ,			UpperCAmelCase__				:     float)						->Vector:





        '''simple docstring'''

        ...


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





        '''simple docstring'''

        ...


    def __mul__(      self				:     Any ,			UpperCAmelCase__				:     float | Vector)						->float | Vector:





        '''simple docstring'''

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


    def 	SCREAMING_SNAKE_CASE							(      self				:     List[Any])						->Vector:





        '''simple docstring'''

        return Vector(self.__components)


    def 	SCREAMING_SNAKE_CASE							(      self				:     int ,			UpperCAmelCase__				:     int)						->float:





        '''simple docstring'''

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


    def 	SCREAMING_SNAKE_CASE							(      self				:     int ,			UpperCAmelCase__				:     int ,			UpperCAmelCase__				:     float)						->None:





        '''simple docstring'''

        assert -len(self.__components) <= pos < len(self.__components)
        A__							=   value


    def 	SCREAMING_SNAKE_CASE							(      self				:     List[str])						->float:





        '''simple docstring'''

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





    def 	SCREAMING_SNAKE_CASE							(      self				:     Optional[int] ,			UpperCAmelCase__				:     Vector ,			UpperCAmelCase__				:     bool = False)						->float:





        '''simple docstring'''

        A__							=   self * other
        A__							=   self.euclidean_length() * other.euclidean_length()
        if deg:
            return math.degrees(math.acos(num / den))
        else:
            return math.acos(num / den)







def SCREAMING_SNAKE_CASE    (	lowercase_						)       ->	Vector:



    """simple docstring"""

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







def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_						)       ->	Vector:



    """simple docstring"""

    assert isinstance(lowercase_			,    lowercase_						) and (isinstance(lowercase_			,    lowercase_						))
    A__							=   [0] * dimension
    A__							=   1
    return Vector(lowercase_						)







def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_			,    lowercase_						)       ->	Vector:



    """simple docstring"""

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







def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_			,    lowercase_						)       ->	Vector:



    """simple docstring"""

    random.seed(lowercase_						)
    A__							=   [random.randint(lowercase_			,    lowercase_						) for _ in range(lowercase_						)]
    return Vector(lowercase_						)


class     UpperCamelCase_   :

    '''simple docstring'''






    def __init__(      self				:     int ,			UpperCAmelCase__				:     list[list[float]] ,			UpperCAmelCase__				:     int ,			UpperCAmelCase__				:     int)						->None:





        '''simple docstring'''

        A__							=   matrix
        A__							=   w
        A__							=   h


    def __str__(      self				:     str)						->str:





        '''simple docstring'''

        A__							=   ''''''
        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[Any] ,			UpperCAmelCase__				:     Matrix)						->Matrix:





        '''simple docstring'''

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


    def __sub__(      self				:     Any ,			UpperCAmelCase__				:     Matrix)						->Matrix:





        '''simple docstring'''

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


    @overload
    def __mul__(      self				:     Any ,			UpperCAmelCase__				:     float)						->Matrix:





        '''simple docstring'''

        ...


    @overload
    def __mul__(      self				:     List[str] ,			UpperCAmelCase__				:     Vector)						->Vector:





        '''simple docstring'''

        ...


    def __mul__(      self				:     str ,			UpperCAmelCase__				:     float | Vector)						->Vector | Matrix:





        '''simple docstring'''

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


    def 	SCREAMING_SNAKE_CASE							(      self				:     Dict)						->int:





        '''simple docstring'''

        return self.__height


    def 	SCREAMING_SNAKE_CASE							(      self				:     int)						->int:





        '''simple docstring'''

        return self.__width


    def 	SCREAMING_SNAKE_CASE							(      self				:     Dict ,			UpperCAmelCase__				:     int ,			UpperCAmelCase__				:     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 	SCREAMING_SNAKE_CASE							(      self				:     List[Any] ,			UpperCAmelCase__				:     int ,			UpperCAmelCase__				:     int ,			UpperCAmelCase__				:     float)						->None:





        '''simple docstring'''

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


    def 	SCREAMING_SNAKE_CASE							(      self				:     Union[str, Any] ,			UpperCAmelCase__				:     int ,			UpperCAmelCase__				:     int)						->float:





        '''simple docstring'''

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


    def 	SCREAMING_SNAKE_CASE							(      self				:     Any ,			UpperCAmelCase__				:     int ,			UpperCAmelCase__				:     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(UpperCAmelCase__ ,			UpperCAmelCase__)
        else:
            raise Exception('''Indices out of bounds''')





    def 	SCREAMING_SNAKE_CASE							(      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:
            A__							=   [
                self.__matrix[0][y] * self.cofactor(0 ,			UpperCAmelCase__) for y in range(self.__width)
            ]
            return sum(UpperCAmelCase__)







def SCREAMING_SNAKE_CASE    (	lowercase_						)       ->	Matrix:



    """simple docstring"""

    A__							=   [[0] * n for _ in range(lowercase_						)]
    return Matrix(lowercase_			,    lowercase_			,    lowercase_						)







def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_			,    lowercase_			,    lowercase_						)       ->	Matrix:



    """simple docstring"""

    random.seed(lowercase_						)
    A__							=   [
        [random.randint(lowercase_			,    lowercase_						) for _ in range(lowercase_						)] for _ in range(lowercase_						)
    ]
    return Matrix(lowercase_			,    lowercase_			,    lowercase_						)








from typing import TYPE_CHECKING

# rely on isort to merge the imports
from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


_lowerCamelCase     :		str								=       {"""configuration_focalnet""": ["""FOCALNET_PRETRAINED_CONFIG_ARCHIVE_MAP""", """FocalNetConfig"""]}


try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  _lowerCamelCase     :		Dict								=       [
      """FOCALNET_PRETRAINED_MODEL_ARCHIVE_LIST""",
      """FocalNetForImageClassification""",
      """FocalNetForMaskedImageModeling""",
      """FocalNetBackbone""",
      """FocalNetModel""",
      """FocalNetPreTrainedModel""",
  ]

if TYPE_CHECKING:
  from .configuration_focalnet import FOCALNET_PRETRAINED_CONFIG_ARCHIVE_MAP, FocalNetConfig

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_focalnet import (
        FOCALNET_PRETRAINED_MODEL_ARCHIVE_LIST,
        FocalNetBackbone,
        FocalNetForImageClassification,
        FocalNetForMaskedImageModeling,
        FocalNetModel,
        FocalNetPreTrainedModel,
    )

else:
  import sys

  _lowerCamelCase     :		Tuple								=       _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)


