
from math import factorial

class __snake_case		:
    def __init__(  self		,snake_case		,snake_case      ):



           '''simple docstring'''







           lowercase							:     List[str]       	=      real
           if isinstance(snake_case		,snake_case      ):
                  lowercase							:     Any       	=      [1] * rank
           else:
                  lowercase							:     Optional[Any]       	=      rank
    def __repr__(  self      ):



           '''simple docstring'''







           return (
               f"{self.real}+"
               f"{'+'.join(str(snake_case      )+'E'+str(n+1      )for n,dual in enumerate(self.duals      )      )}"
           )
    def       _SCREAMING_SNAKE_CASE       (  self      ):



           '''simple docstring'''







           lowercase							:     Dict       	=      self.duals.copy()
           while cur[-1] == 0:
                  cur.pop(-1      )
           return Dual(self.real		,snake_case      )
    def __add__(  self		,snake_case      ):



           '''simple docstring'''







           if not isinstance(snake_case		,snake_case      ):
                  return Dual(self.real + other		,self.duals      )
           lowercase							:     Optional[int]       	=      self.duals.copy()
           lowercase							:     Optional[Any]       	=      other.duals.copy()
           if len(snake_case      ) > len(snake_case      ):
                  o_dual.extend([1] * (len(snake_case      ) - len(snake_case      ))      )
           elif len(snake_case      ) < len(snake_case      ):
                  s_dual.extend([1] * (len(snake_case      ) - len(snake_case      ))      )
           lowercase							:     Dict       	=      []
           for i in range(len(snake_case      )      ):
                  new_duals.append(s_dual[i] + o_dual[i]      )
           return Dual(self.real + other.real		,snake_case      )

    _a		:						Union[str, Any]=				__add__
    def __sub__(  self		,snake_case      ):



           '''simple docstring'''







           return self + other * -1
    def __mul__(  self		,snake_case      ):



           '''simple docstring'''







           if not isinstance(snake_case		,snake_case      ):
                  lowercase							:     str       	=      []
                  for i in self.duals:
                         new_duals.append(i * other      )
                  return Dual(self.real * other		,snake_case      )
           lowercase							:     Union[str, Any]       	=      [0] * (len(self.duals      ) + len(other.duals      ) + 1)
           for i, item in enumerate(self.duals      ):
                  for j, jtem in enumerate(other.duals      ):
                         new_duals[i + j + 1] += item * jtem
           for k in range(len(self.duals      )      ):
                  new_duals[k] += self.duals[k] * other.real
           for index in range(len(other.duals      )      ):
                  new_duals[index] += other.duals[index] * self.real
           return Dual(self.real * other.real		,snake_case      )

    _a		:						int=				__mul__
    def __truediv__(  self		,snake_case      ):



           '''simple docstring'''







           if not isinstance(snake_case		,snake_case      ):
                  lowercase							:     Union[str, Any]       	=      []
                  for i in self.duals:
                         new_duals.append(i / other      )
                  return Dual(self.real / other		,snake_case      )
           raise ValueError
    def __floordiv__(  self		,snake_case      ):



           '''simple docstring'''







           if not isinstance(snake_case		,snake_case      ):
                  lowercase							:     List[Any]       	=      []
                  for i in self.duals:
                         new_duals.append(i // other      )
                  return Dual(self.real // other		,snake_case      )
           raise ValueError
    def __pow__(  self		,snake_case      ):



           '''simple docstring'''







           if n < 0 or isinstance(snake_case		,snake_case      ):
                  raise ValueError("""power must be a positive integer"""      )
           if n == 0:
                  return 1
           if n == 1:
                  return self
           lowercase							:     str       	=      self
           for _ in range(n - 1      ):
                  x *= self
           return x







def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    Dict:
       if not callable(SCREAMING_SNAKE_CASE__				):
              raise ValueError("""differentiate() requires a function as input for func"""				)
       if not isinstance(SCREAMING_SNAKE_CASE__					,	(float, int)				):
              raise ValueError("""differentiate() requires a float as input for position"""				)
       if not isinstance(SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				):
              raise ValueError("""differentiate() requires an int as input for order"""				)
       lowercase							:     List[Any]       	=      Dual(SCREAMING_SNAKE_CASE__					,	1				)
       lowercase							:     List[Any]       	=      func(SCREAMING_SNAKE_CASE__				)
       if order == 0:
              return result.real
       return result.duals[order - 1] * factorial(SCREAMING_SNAKE_CASE__				)


if __name__ == "__main__":
  import doctest

  doctest.testmod()







  def 						_snake_case(  SCREAMING_SNAKE_CASE__				) ->    Union[str, Any]:
         return y**2 * y**4




  print(differentiate(f, 9, 2))


import contextlib
import os
import sqlitea

import pytest

from datasets import Dataset, Features, Value
from datasets.io.sql import SqlDatasetReader, SqlDatasetWriter

from ..utils import assert_arrow_memory_doesnt_increase, assert_arrow_memory_increases, require_sqlalchemy







def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    Any:
       assert isinstance(SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				)
       assert dataset.num_rows == 4
       assert dataset.num_columns == 3
       assert dataset.column_names == ["col_1", "col_2", "col_3"]
       for feature, expected_dtype in expected_features.items():
              assert dataset.features[feature].dtype == expected_dtype







@require_sqlalchemy
@pytest.mark.parametrize("""keep_in_memory"""					,	[False, True]				)
def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    Union[str, Any]:
       lowercase							:     Union[str, Any]       	=      tmp_path / """cache"""
       lowercase							:     Optional[Any]       	=      {"""col_1""": """string""", """col_2""": """int64""", """col_3""": """float64"""}
       with assert_arrow_memory_increases() if keep_in_memory else assert_arrow_memory_doesnt_increase():
              lowercase							:     Any       	=      SqlDatasetReader(
                  """dataset"""					,	"""sqlite:///""" + sqlite_path					,	cache_dir=SCREAMING_SNAKE_CASE__					,	keep_in_memory=SCREAMING_SNAKE_CASE__				).read()
       _check_sql_dataset(SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				)







@require_sqlalchemy
@pytest.mark.parametrize(
    """features"""					,	[
        None,
        {"""col_1""": """string""", """col_2""": """int64""", """col_3""": """float64"""},
        {"""col_1""": """string""", """col_2""": """string""", """col_3""": """string"""},
        {"""col_1""": """int32""", """col_2""": """int32""", """col_3""": """int32"""},
        {"""col_1""": """float32""", """col_2""": """float32""", """col_3""": """float32"""},
    ]					,	)
def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    Tuple:
       lowercase							:     Union[str, Any]       	=      tmp_path / """cache"""
       lowercase							:     int       	=      {"""col_1""": """string""", """col_2""": """int64""", """col_3""": """float64"""}
       lowercase							:     str       	=      features.copy() if features else default_expected_features
       lowercase							:     Optional[Any]       	=      (
           Features({feature: Value(SCREAMING_SNAKE_CASE__				) for feature, dtype in features.items()}				) if features is not None else None
       )
       lowercase							:     Optional[int]       	=      SqlDatasetReader("""dataset"""					,	"""sqlite:///""" + sqlite_path					,	features=SCREAMING_SNAKE_CASE__					,	cache_dir=SCREAMING_SNAKE_CASE__				).read()
       _check_sql_dataset(SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				)







def 						_snake_case(  SCREAMING_SNAKE_CASE__				) ->    List[Any]:
       with contextlib.closing(sqlitea.connect(SCREAMING_SNAKE_CASE__				)				) as con:
              lowercase							:     Optional[int]       	=      con.cursor()
              cur.execute("""SELECT * FROM dataset"""				)
              for row in cur:
                     yield row







@require_sqlalchemy
def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    int:
       lowercase							:     Any       	=      tmp_path / """cache"""
       lowercase							:     int       	=      os.path.join(SCREAMING_SNAKE_CASE__					,	"""tmp.sql"""				)
       lowercase							:     List[str]       	=      SqlDatasetReader("""dataset"""					,	"""sqlite:///""" + sqlite_path					,	cache_dir=SCREAMING_SNAKE_CASE__				).read()
       SqlDatasetWriter(SCREAMING_SNAKE_CASE__					,	"""dataset"""					,	"""sqlite:///""" + output_sqlite_path					,	num_proc=1				).write()

       lowercase							:     List[str]       	=      iter_sql_file(SCREAMING_SNAKE_CASE__				)
       lowercase							:     Tuple       	=      iter_sql_file(SCREAMING_SNAKE_CASE__				)

       for rowa, rowa in zip(SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				):
              assert rowa == rowa







@require_sqlalchemy
def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    Dict:
       lowercase							:     Dict       	=      tmp_path / """cache"""
       lowercase							:     List[str]       	=      os.path.join(SCREAMING_SNAKE_CASE__					,	"""tmp.sql"""				)
       lowercase							:     List[str]       	=      SqlDatasetReader("""dataset"""					,	"""sqlite:///""" + sqlite_path					,	cache_dir=SCREAMING_SNAKE_CASE__				).read()
       SqlDatasetWriter(SCREAMING_SNAKE_CASE__					,	"""dataset"""					,	"""sqlite:///""" + output_sqlite_path					,	num_proc=2				).write()

       lowercase							:     Optional[int]       	=      iter_sql_file(SCREAMING_SNAKE_CASE__				)
       lowercase							:     List[Any]       	=      iter_sql_file(SCREAMING_SNAKE_CASE__				)

       for rowa, rowa in zip(SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				):
              assert rowa == rowa







@require_sqlalchemy
def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    List[str]:
       lowercase							:     str       	=      tmp_path / """cache"""
       lowercase							:     Optional[int]       	=      os.path.join(SCREAMING_SNAKE_CASE__					,	"""tmp.sql"""				)
       lowercase							:     Optional[Any]       	=      SqlDatasetReader("""dataset"""					,	"""sqlite:///""" + sqlite_path					,	cache_dir=SCREAMING_SNAKE_CASE__				).read()
       with pytest.raises(SCREAMING_SNAKE_CASE__				):
              SqlDatasetWriter(SCREAMING_SNAKE_CASE__					,	"""dataset"""					,	"""sqlite:///""" + output_sqlite_path					,	num_proc=0				).write()
