
"""simple docstring"""




from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm




def 			_lowerCAmelCase		(		_UpperCamelCase			,					_UpperCamelCase    ):






  """simple docstring"""



  return math.sqrt(sum(pow(a - b			,					2    ) for a, b in zip(_UpperCamelCase			,					_UpperCamelCase    )    )    )




def 			_lowerCAmelCase		(		_UpperCamelCase			,					_UpperCamelCase    ):






  """simple docstring"""



  if dataset.ndim != value_array.ndim:
    _lowercase:      Optional[int]   			=  (
        '''Wrong input data\'s dimensions... '''
        f'''dataset : {dataset.ndim}, value_array : {value_array.ndim}'''
    )
    raise ValueError(_UpperCamelCase    )

  try:
    if dataset.shape[1] != value_array.shape[1]:
      _lowercase:      Dict   			=  (
          '''Wrong input data\'s shape... '''
          f'''dataset : {dataset.shape[1]}, value_array : {value_array.shape[1]}'''
      )
      raise ValueError(_UpperCamelCase    )
  except IndexError:
    if dataset.ndim != value_array.ndim:
      raise TypeError('''Wrong shape'''    )

  if dataset.dtype != value_array.dtype:
    _lowercase:      List[Any]   			=  (
        '''Input data have different datatype... '''
        f'''dataset : {dataset.dtype}, value_array : {value_array.dtype}'''
    )
    raise TypeError(_UpperCamelCase    )

  _lowercase:      Optional[int]   			=  []

  for value in value_array:
    _lowercase:      int   			=  euclidean(_UpperCamelCase			,					dataset[0]    )
    _lowercase:      Any   			=  dataset[0].tolist()

    for dataset_value in dataset[1:]:
      _lowercase:      int   			=  euclidean(_UpperCamelCase			,					_UpperCamelCase    )

      if dist > temp_dist:
        _lowercase:      Tuple   			=  temp_dist
        _lowercase:      Any   			=  dataset_value.tolist()

    answer.append([vector, dist]    )

  return answer




def 			_lowerCAmelCase		(		_UpperCamelCase			,					_UpperCamelCase    ):






  """simple docstring"""



  return np.dot(_UpperCamelCase			,					_UpperCamelCase    ) / (norm(_UpperCamelCase    ) * norm(_UpperCamelCase    ))


if __name__ == "__main__":
  import doctest

  doctest.testmod()


"""simple docstring"""




from collections.abc import Callable




def 			_lowerCAmelCase		(		_UpperCamelCase			,					_UpperCamelCase			,					_UpperCamelCase    ):






  """simple docstring"""



  _lowercase:      float   			=  a
  _lowercase:      float   			=  b
  if function(_UpperCamelCase    ) == 0:  # one of the a or b is a root for the function
    return a
  elif function(_UpperCamelCase    ) == 0:
    return b
  elif (
      function(_UpperCamelCase    ) * function(_UpperCamelCase    ) > 0
  ):  # if none of these are root and they are both positive or negative,
    # then this algorithm can't find the root
    raise ValueError('''could not find root in given interval.'''    )
  else:
    _lowercase:      float   			=  start + (end - start) / 2.0
    while abs(start - mid    ) > 10**-7:  # until precisely equals to 10^-7
      if function(_UpperCamelCase    ) == 0:
        return mid
      elif function(_UpperCamelCase    ) * function(_UpperCamelCase    ) < 0:
        _lowercase:      Union[str, Any]   			=  mid
      else:
        _lowercase:      Any   			=  mid
      _lowercase:      List[Any]   			=  start + (end - start) / 2.0
    return mid




def 			_lowerCAmelCase		(		_UpperCamelCase    ):






  """simple docstring"""



  return x**3 - 2 * x - 5


if __name__ == "__main__":
  print(bisection(f, 1, 1_0_0_0))

  import doctest

  doctest.testmod()
