


import mpmath  # for roots of unity
import numpy as np







class 		_snake_case  :




 def __init__(		self					,  _lowerCamelCase=None					,  _lowerCamelCase=None    ):
       # Input as list
       a						:int 							=       list(poly_a or [0]    )[:]
       a						:List[Any] 							=       list(poly_b or [0]    )[:]

       # Remove leading zero coefficients
       while self.polyA[-1] == 0:
             self.polyA.pop()
       a						:Tuple 							=       len(self.polyA    )

       while self.polyB[-1] == 0:
             self.polyB.pop()
       a						:Any 							=       len(self.polyB    )

       # Add 0 to make lengths equal a power of 2
       a						:Dict 							=       int(
           2 ** np.ceil(np.loga(len(self.polyA    ) + len(self.polyB    ) - 1    )    )    )

       while len(self.polyA    ) < self.c_max_length:
             self.polyA.append(0    )
       while len(self.polyB    ) < self.c_max_length:
             self.polyB.append(0    )
       # A complex root used for the fourier transform
       a						:Union[str, Any] 							=       complex(mpmath.root(x=1					,  n=self.c_max_length					,  k=1    )    )

       # The product
       a						:Tuple 							=       self.__multiply()




 def        SCREAMING_SNAKE_CASE__				(		self					,  _lowerCamelCase    ):
       a						:Optional[Any] 							=       [[x] for x in self.polyA] if which == '''A''' else [[x] for x in self.polyB]
       # Corner case
       if len(_lowerCamelCase    ) <= 1:
             return dft[0]
       #
       a						:Dict 							=       self.c_max_length // 2
       while next_ncol > 0:
             a						:Union[str, Any] 							=       [[] for i in range(_lowerCamelCase    )]
             a						:Union[str, Any] 							=       self.root**next_ncol

             # First half of next step
             a						:str 							=       1
             for j in range(self.c_max_length // (next_ncol * 2)    ):
                   for i in range(_lowerCamelCase    ):
                         new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]    )
                   current_root *= root
             # Second half of next step
             a						:int 							=       1
             for j in range(self.c_max_length // (next_ncol * 2)    ):
                   for i in range(_lowerCamelCase    ):
                         new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]    )
                   current_root *= root
             # Update
             a						:Tuple 							=       new_dft
             a						:Optional[Any] 							=       next_ncol // 2
       return dft[0]




 def        SCREAMING_SNAKE_CASE__				(		self    ):
       a						:Optional[int] 							=       self.__dft('''A'''    )
       a						:List[Any] 							=       self.__dft('''B'''    )
       a						:Dict 							=       [[dft_a[i] * dft_b[i] for i in range(self.c_max_length    )]]
       del dft_a
       del dft_b

       # Corner Case
       if len(inverce_c[0]    ) <= 1:
             return inverce_c[0]
       # Inverse DFT
       a						:Dict 							=       2
       while next_ncol <= self.c_max_length:
             a						:str 							=       [[] for i in range(_lowerCamelCase    )]
             a						:List[Any] 							=       self.root ** (next_ncol // 2)
             a						:List[str] 							=       1
             # First half of next step
             for j in range(self.c_max_length // next_ncol    ):
                   for i in range(next_ncol // 2    ):
                         # Even positions
                         new_inverse_c[i].append(
                             (
                                 inverce_c[i][j]
                                 + inverce_c[i][j + self.c_max_length // next_ncol]
                             )
                             / 2    )
                         # Odd positions
                         new_inverse_c[i + next_ncol // 2].append(
                             (
                                 inverce_c[i][j]
                                 - inverce_c[i][j + self.c_max_length // next_ncol]
                             )
                             / (2 * current_root)    )
                   current_root *= root
             # Update
             a						:int 							=       new_inverse_c
             next_ncol *= 2
       # Unpack
       a						:Any 							=       [round(x[0].real					,  8    ) + round(x[0].imag					,  8    ) * 1j for x in inverce_c]

       # Remove leading 0's
       while inverce_c[-1] == 0:
             inverce_c.pop()
       return inverce_c




 def __str__(		self    ):
       a						:Dict 							=       '''A = ''' + ''' + '''.join(
           F'''{coef}*x^{i}''' for coef, i in enumerate(self.polyA[: self.len_A]    )    )
       a						:Any 							=       '''B = ''' + ''' + '''.join(
           F'''{coef}*x^{i}''' for coef, i in enumerate(self.polyB[: self.len_B]    )    )
       a						:Tuple 							=       '''A*B = ''' + ''' + '''.join(
           F'''{coef}*x^{i}''' for coef, i in enumerate(self.product    )    )

       return F'''{a}\n{b}\n{c}'''


# Unit tests
if __name__ == "__main__":
     import doctest

     doctest.testmod()







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()
