


'''simple docstring'''


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      lowerCamelCase					(      lowerCamelCase  :      Tuple							,						lowerCamelCase  :      Dict):
      assert isinstance(__UpperCAmelCase							,						__UpperCAmelCase)
      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      lowerCamelCase					(      lowerCamelCase  :      List[Any]							,						lowerCamelCase  :      List[Any]							,						lowerCamelCase  :      List[str]							,						lowerCamelCase  :      Tuple):
      A_						:  Optional[int]          =				tmp_path / """cache"""
      A_						:  str          =				{"""col_1""": """string""", """col_2""": """int64""", """col_3""": """float64"""}
      with assert_arrow_memory_increases() if keep_in_memory else assert_arrow_memory_doesnt_increase():
            A_						:  Optional[int]          =				SqlDatasetReader(
                """dataset"""							,						"""sqlite:///""" + sqlite_path							,						cache_dir=__UpperCAmelCase							,						keep_in_memory=__UpperCAmelCase).read()
      _check_sql_dataset(__UpperCAmelCase							,						__UpperCAmelCase)




@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      lowerCamelCase					(      lowerCamelCase  :      Tuple							,						lowerCamelCase  :      Optional[int]							,						lowerCamelCase  :      Union[str, Any]							,						lowerCamelCase  :      List[str]):
      A_						:  List[str]          =				tmp_path / """cache"""
      A_						:  Dict          =				{"""col_1""": """string""", """col_2""": """int64""", """col_3""": """float64"""}
      A_						:  Dict          =				features.copy() if features else default_expected_features
      A_						:  Optional[int]          =				(
          Features({feature: Value(__UpperCAmelCase) for feature, dtype in features.items()}) if features is not None else None
      )
      A_						:  Union[str, Any]          =				SqlDatasetReader("""dataset"""							,						"""sqlite:///""" + sqlite_path							,						features=__UpperCAmelCase							,						cache_dir=__UpperCAmelCase).read()
      _check_sql_dataset(__UpperCAmelCase							,						__UpperCAmelCase)




def      lowerCamelCase					(      lowerCamelCase  :      Optional[int]):







      with contextlib.closing(sqlitea.connect(__UpperCAmelCase)) as con:
            A_						:  List[Any]          =				con.cursor()
            cur.execute("""SELECT * FROM dataset""")
            for row in cur:
                  yield row




@require_sqlalchemy
def      lowerCamelCase					(      lowerCamelCase  :      List[Any]							,						lowerCamelCase  :      List[str]							,						lowerCamelCase  :      Optional[int]):
      A_						:  Any          =				tmp_path / """cache"""
      A_						:  Optional[int]          =				os.path.join(__UpperCAmelCase							,						"""tmp.sql""")
      A_						:  Union[str, Any]          =				SqlDatasetReader("""dataset"""							,						"""sqlite:///""" + sqlite_path							,						cache_dir=__UpperCAmelCase).read()
      SqlDatasetWriter(__UpperCAmelCase							,						"""dataset"""							,						"""sqlite:///""" + output_sqlite_path							,						num_proc=1).write()

      A_						:  Dict          =				iter_sql_file(__UpperCAmelCase)
      A_						:  Dict          =				iter_sql_file(__UpperCAmelCase)

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




@require_sqlalchemy
def      lowerCamelCase					(      lowerCamelCase  :      List[Any]							,						lowerCamelCase  :      Any							,						lowerCamelCase  :      Dict):
      A_						:  List[str]          =				tmp_path / """cache"""
      A_						:  List[str]          =				os.path.join(__UpperCAmelCase							,						"""tmp.sql""")
      A_						:  List[Any]          =				SqlDatasetReader("""dataset"""							,						"""sqlite:///""" + sqlite_path							,						cache_dir=__UpperCAmelCase).read()
      SqlDatasetWriter(__UpperCAmelCase							,						"""dataset"""							,						"""sqlite:///""" + output_sqlite_path							,						num_proc=2).write()

      A_						:  List[str]          =				iter_sql_file(__UpperCAmelCase)
      A_						:  Tuple          =				iter_sql_file(__UpperCAmelCase)

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






@require_sqlalchemy
def      lowerCamelCase					(      lowerCamelCase  :      int							,						lowerCamelCase  :      Dict							,						lowerCamelCase  :      Union[str, Any]):
      A_						:  Any          =				tmp_path / """cache"""
      A_						:  List[str]          =				os.path.join(__UpperCAmelCase							,						"""tmp.sql""")
      A_						:  Union[str, Any]          =				SqlDatasetReader("""dataset"""							,						"""sqlite:///""" + sqlite_path							,						cache_dir=__UpperCAmelCase).read()
      with pytest.raises(__UpperCAmelCase):
            SqlDatasetWriter(__UpperCAmelCase							,						"""dataset"""							,						"""sqlite:///""" + output_sqlite_path							,						num_proc=0).write()




'''simple docstring'''


from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403




def      lowerCamelCase					(      lowerCamelCase  :      str							,						lowerCamelCase  :      complex							,						lowerCamelCase  :      str = "x"							,						lowerCamelCase  :      float = 10**-10							,						lowerCamelCase  :      int = 1							,						):
      A_						:  int          =				symbols(lowerCamelCase)
      A_						:  List[Any]          =				lambdify(lowerCamelCase							,						lowerCamelCase)
      A_						:  List[str]          =				lambdify(lowerCamelCase							,						diff(lowerCamelCase							,						lowerCamelCase))

      A_						:  str          =				starting_point

      while True:
            if diff_function(lowerCamelCase) != 0:
                  A_						:  int          =				prev_guess - multiplicity * func(lowerCamelCase) / diff_function(
                      lowerCamelCase)
            else:
                  raise ZeroDivisionError("""Could not find root""") from None

            # Precision is checked by comparing the difference of consecutive guesses
            if abs(next_guess - prev_guess) < precision:
                  return next_guess

            A_						:  Union[str, Any]          =				next_guess


# Let's Execute
if __name__ == "__main__":
     # Find root of trigonometric function
     # Find value of pi
     print(f"""The root of sin(x) = 0 is {newton_raphson('sin(x)', 2)}""")

     # Find root of polynomial
     # Find fourth Root of 5
     print(f"""The root of x**4 - 5 = 0 is {newton_raphson('x**4 -5', 0.4 +5j)}""")

     # Find value of e
     print(
         'The root of log(y) - 1 = 0 is ',
         f"""{newton_raphson('log(y) - 1', 2, variable='y')}""",
     )

     # Exponential Roots
     print(
         'The root of exp(x) - 1 = 0 is',
         f"""{newton_raphson('exp(x) - 1', 10, precision=0.0_0_5)}""",
     )

     # Find root of cos(x)
     print(f"""The root of cos(x) = 0 is {newton_raphson('cos(x)', 0)}""")
