
# flake8: noqa
# Lint as: python3

from typing import Dict, List, Optional, Type

from .. import config
from ..utils import logging
from .formatting import (
    ArrowFormatter,
    CustomFormatter,
    Formatter,
    PandasFormatter,
    PythonFormatter,
    TensorFormatter,
    format_table,
    query_table,
)
from .np_formatter import NumpyFormatter


lowerCamelCase__    :		Optional[int]          =   logging.get_logger(__name__)

lowerCamelCase__    :		Dict[Optional[str], Type[Formatter]]          =   {}
lowerCamelCase__    :		Dict[Optional[str], str]          =   {}
lowerCamelCase__    :		Dict[Optional[str], Exception]          =   {}

def 		UpperCamelCase	(      lowercase_ , lowercase_ , lowercase_ = None , )		->	List[Any]:


  '''simple docstring'''






  lowercase__  :   List[str]    		=      aliases if aliases is not None else []
  if format_type in _FORMAT_TYPES:
    logger.warning(
        F'Overwriting format type \'{format_type}\' ({_FORMAT_TYPES[format_type].__name__} -> {formatter_cls.__name__})'   )
  lowercase__  :   Dict    		=      formatter_cls
  for alias in set(aliases + [format_type]   ):
    if alias in _FORMAT_TYPES_ALIASES:
      logger.warning(
          F'Overwriting format type alias \'{alias}\' ({_FORMAT_TYPES_ALIASES[alias]} -> {format_type})'   )
    lowercase__  :   Union[str, Any]    		=      format_type

def 		UpperCamelCase	(      lowercase_ , lowercase_ , lowercase_ = None   )		->	str:


  '''simple docstring'''






  lowercase__  :   Tuple    		=      aliases if aliases is not None else []
  for alias in set(aliases + [format_type]   ):
    lowercase__  :   Union[str, Any]    		=      unavailable_error


# Here we define all the available formatting functions that can be used by `Dataset.set_format`
_register_formatter(PythonFormatter, None, aliases=["""python"""])
_register_formatter(ArrowFormatter, """arrow""", aliases=["""pa""", """pyarrow"""])
_register_formatter(NumpyFormatter, """numpy""", aliases=["""np"""])
_register_formatter(PandasFormatter, """pandas""", aliases=["""pd"""])
_register_formatter(CustomFormatter, """custom""")

if config.TORCH_AVAILABLE:
     from .torch_formatter import TorchFormatter

     _register_formatter(TorchFormatter, """torch""", aliases=["""pt""", """pytorch"""])
else:
     lowerCamelCase__    :		Dict          =   ValueError("""PyTorch needs to be installed to be able to return PyTorch tensors.""")
     _register_unavailable_formatter(_torch_error, """torch""", aliases=["""pt""", """pytorch"""])

if config.TF_AVAILABLE:
     from .tf_formatter import TFFormatter

     _register_formatter(TFFormatter, """tensorflow""", aliases=["""tf"""])
else:
     lowerCamelCase__    :		Any          =   ValueError("""Tensorflow needs to be installed to be able to return Tensorflow tensors.""")
     _register_unavailable_formatter(_tf_error, """tensorflow""", aliases=["""tf"""])

if config.JAX_AVAILABLE:
     from .jax_formatter import JaxFormatter

     _register_formatter(JaxFormatter, """jax""", aliases=[])
else:
     lowerCamelCase__    :		Union[str, Any]          =   ValueError("""JAX needs to be installed to be able to return JAX arrays.""")
     _register_unavailable_formatter(_jax_error, """jax""", aliases=[])

def 		UpperCamelCase	(      lowercase_   )		->	Optional[str]:


  '''simple docstring'''






  if format_type in _FORMAT_TYPES_ALIASES:
    return _FORMAT_TYPES_ALIASES[format_type]
  else:
    return format_type



def 		UpperCamelCase	(      lowercase_ , **lowercase_   )		->	Formatter:


  '''simple docstring'''






  lowercase__  :   Tuple    		=      get_format_type_from_alias(lowercase_   )
  if format_type in _FORMAT_TYPES:
    return _FORMAT_TYPES[format_type](**lowercase_   )
  if format_type in _FORMAT_TYPES_ALIASES_UNAVAILABLE:
    raise _FORMAT_TYPES_ALIASES_UNAVAILABLE[format_type]
  else:
    raise ValueError(
        F'Return type should be None or selected in {list(type for type in _FORMAT_TYPES.keys() if type != None   )}, but got \'{format_type}\''   )








from __future__ import annotations

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



class       _snake_case   :


 def __init__(					self					,  SCREAMING_SNAKE_CASE_ = None):


   '''simple docstring'''




   if components is None:
     lowercase__  :   List[str]    		=      []
   lowercase__  :   Dict    		=      list(SCREAMING_SNAKE_CASE_)


 def __len__(					self):


   '''simple docstring'''




   return len(self.__components)


 def __str__(					self):


   '''simple docstring'''




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


 def __add__(					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




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


 def __sub__(					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




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


 @overload
 def __mul__(					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




   ...


 @overload
 def __mul__(					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




   ...


 def __mul__(					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




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


 def      lowercase__     (					self):


   '''simple docstring'''




   return Vector(self.__components)


 def      lowercase__     (					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




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


 def      lowercase__     (					self					,  SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




   assert -len(self.__components) <= pos < len(self.__components)
   lowercase__  :   List[Any]    		=      value


 def      lowercase__     (					self):


   '''simple docstring'''




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



 def      lowercase__     (					self					,  SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_ = False):


   '''simple docstring'''




   lowercase__  :   Union[str, Any]    		=      self * other
   lowercase__  :   Optional[Any]    		=      self.euclidean_length() * other.euclidean_length()
   if deg:
     return math.degrees(math.acos(num / den))
   else:
     return math.acos(num / den)

def 		UpperCamelCase	(      lowercase_   )		->	Vector:


  '''simple docstring'''






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

def 		UpperCamelCase	(      lowercase_ , lowercase_   )		->	Vector:


  '''simple docstring'''






  assert isinstance(lowercase_ , lowercase_   ) and (isinstance(lowercase_ , lowercase_   ))
  lowercase__  :   Union[str, Any]    		=      [0] * dimension
  lowercase__  :   Any    		=      1
  return Vector(lowercase_   )

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


  '''simple docstring'''






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

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


  '''simple docstring'''






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



class       _snake_case   :


 def __init__(					self					,  SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




   lowercase__  :   List[Any]    		=      matrix
   lowercase__  :   Any    		=      w
   lowercase__  :   Any    		=      h


 def __str__(					self):


   '''simple docstring'''




   lowercase__  :   str    		=      """"""
   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					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




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


 def __sub__(					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




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


 @overload
 def __mul__(					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




   ...


 @overload
 def __mul__(					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




   ...


 def __mul__(					self					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




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


 def      lowercase__     (					self):


   '''simple docstring'''




   return self.__height


 def      lowercase__     (					self):


   '''simple docstring'''




   return self.__width


 def      lowercase__     (					self					,  SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_):


   '''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					,  SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




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


 def      lowercase__     (					self					,  SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_):


   '''simple docstring'''




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


 def      lowercase__     (					self					,  SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_):


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



 def      lowercase__     (					self):


   '''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:
     lowercase__  :   Optional[int]    		=      [
         self.__matrix[0][y] * self.cofactor(0					,  SCREAMING_SNAKE_CASE_) for y in range(self.__width)
     ]
     return sum(SCREAMING_SNAKE_CASE_)

def 		UpperCamelCase	(      lowercase_   )		->	Matrix:


  '''simple docstring'''






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



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


  '''simple docstring'''






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






