

"""simple docstring"""





def   _A  (  UpperCamelCase_					:	Optional[Any])     ->						Optional[int]:
   '''simple docstring'''


   __lowercase								=						current_set.copy()
   for row_index, row in enumerate(UpperCamelCase_):
      __lowercase								=						row[0]
      for column_index, column in enumerate(UpperCamelCase_):
         if magnitude == 0:
            __lowercase								=						column
            continue
         __lowercase								=						column / magnitude
    # Subtract to cancel term
   __lowercase								=						current_set[0]
   __lowercase								=						[first_row]
   __lowercase								=						current_set[1::]
   for row in current_set:
      __lowercase								=						[]
      # If first term is 0, it is already in form we want, so we preserve it
      if row[0] == 0:
         final_set.append(UpperCamelCase_)
         continue
      for column_index in range(len(UpperCamelCase_)):
         temp_row.append(first_row[column_index] - row[column_index])
      final_set.append(UpperCamelCase_)
   # Create next recursion iteration set
   if len(final_set[0]) != 3:
      __lowercase								=						final_set[0]
      __lowercase								=						[]
      __lowercase								=						[]
      for row in final_set[1::]:
         current_first_column.append(row[0])
         next_iteration.append(row[1::])
      __lowercase								=						simplify(UpperCamelCase_)
      for i in range(len(UpperCamelCase_)):
         resultant[i].insert(0,      current_first_column[i])
      resultant.insert(0,      UpperCamelCase_)
      __lowercase								=						resultant
   return final_set
def   _A  (  UpperCamelCase_					:	Any)     ->						List[Any]:
   '''simple docstring'''


   if len(UpperCamelCase_) == 0:
      raise IndexError("solve_simultaneous() requires n lists of length n+1")
   __lowercase								=						len(UpperCamelCase_) + 1
   if any(len(UpperCamelCase_) != _length for item in equations):
      raise IndexError("solve_simultaneous() requires n lists of length n+1")
   for row in equations:
      if any(not isinstance(UpperCamelCase_,      (int, float)) for column in row):
         raise ValueError("solve_simultaneous() requires lists of integers")
   if len(UpperCamelCase_) == 1:
      return [equations[0][-1] / equations[0][0]]
   __lowercase								=						equations.copy()
   if any(0 in row for row in data_set):
      __lowercase								=						data_set.copy()
      __lowercase								=						[]
      for row_index, row in enumerate(UpperCamelCase_):
         if 0 not in row:
            __lowercase								=						data_set.pop(UpperCamelCase_)
            break
      if not full_row:
         raise ValueError("solve_simultaneous() requires at least 1 full equation")
      data_set.insert(0,      UpperCamelCase_)
   __lowercase								=						data_set.copy()
   __lowercase								=						simplify(UpperCamelCase_)
   __lowercase								=						simplified[::-1]
   __lowercase								=						[]
   for row in simplified:
      __lowercase								=						row[-1]
      if not solutions:
         if row[-2] == 0:
            solutions.append(0)
            continue
         solutions.append(current_solution / row[-2])
         continue
      __lowercase								=						row.copy()[: len(UpperCamelCase_) - 1 :]
      while temp_row[0] == 0:
         temp_row.pop(0)
      if len(UpperCamelCase_) == 0:
         solutions.append(0)
         continue
      __lowercase								=						temp_row[1::]
      __lowercase								=						temp_row[::-1]
      for column_index, column in enumerate(UpperCamelCase_):
         current_solution -= column * solutions[column_index]
      solutions.append(UpperCamelCase_)
   __lowercase								=						[]
   for item in solutions:
      final.append(float(round(UpperCamelCase_,      5)))
   return final[::-1]


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   _a							=							[
       [2, 1, 1, 1, 1, 4],
       [1, 2, 1, 1, 1, 5],
       [1, 1, 2, 1, 1, 6],
       [1, 1, 1, 2, 1, 7],
       [1, 1, 1, 1, 2, 8],
   ]
   print(solve_simultaneous(eq))
   print(solve_simultaneous([[4, 2]]))







"""simple docstring"""





import json
import os
import tempfile

import datasets
from utils import generate_example_dataset, get_duration


_a							=							5_00_00
_a							=							50_00

_a				,						_a							=							os.path.split(__file__)
_a							=							os.path.join(RESULTS_BASEPATH, 'results', RESULTS_FILENAME.replace('.py', '.json'))




@get_duration
def   _A  (  UpperCamelCase_					:	datasets.Dataset,      UpperCamelCase_					:	List[str])     ->						List[str]:
   '''simple docstring'''


   for i in range(UpperCamelCase_):
      __lowercase								=						dataset[i]




@get_duration
def   _A  (  UpperCamelCase_					:	datasets.Dataset,      UpperCamelCase_					:	List[Any],      UpperCamelCase_					:	int)     ->						Dict:
   '''simple docstring'''


   for i in range(0,      len(UpperCamelCase_),      UpperCamelCase_):
      __lowercase								=						dataset[i : i + batch_size]




@get_duration
def   _A  (  UpperCamelCase_					:	datasets.Dataset,      UpperCamelCase_					:	Any,      UpperCamelCase_					:	Optional[int])     ->						List[str]:
   '''simple docstring'''


   with dataset.formatted_as(type=UpperCamelCase_):
      for i in range(UpperCamelCase_):
         __lowercase								=						dataset[i]




@get_duration
def   _A  (  UpperCamelCase_					:	datasets.Dataset,      UpperCamelCase_					:	str,      UpperCamelCase_					:	Union[str, Any],      UpperCamelCase_					:	Union[str, Any])     ->						Dict:
   '''simple docstring'''


   with dataset.formatted_as(type=UpperCamelCase_):
      for i in range(0,      UpperCamelCase_,      UpperCamelCase_):
         __lowercase								=						dataset[i : i + batch_size]




def   _A  (  )     ->						List[str]:
   '''simple docstring'''


   __lowercase								=						{"num examples": SPEED_TEST_N_EXAMPLES}
   __lowercase								=						[
       (read, {"length": SMALL_TEST}),
       (read, {"length": SPEED_TEST_N_EXAMPLES}),
       (read_batch, {"length": SPEED_TEST_N_EXAMPLES, "batch_size": 10}),
       (read_batch, {"length": SPEED_TEST_N_EXAMPLES, "batch_size": 100}),
       (read_batch, {"length": SPEED_TEST_N_EXAMPLES, "batch_size": 1000}),
       (read_formatted, {"type": "numpy", "length": SMALL_TEST}),
       (read_formatted, {"type": "pandas", "length": SMALL_TEST}),
       (read_formatted, {"type": "torch", "length": SMALL_TEST}),
       (read_formatted, {"type": "tensorflow", "length": SMALL_TEST}),
       (read_formatted_batch, {"type": "numpy", "length": SMALL_TEST, "batch_size": 10}),
       (read_formatted_batch, {"type": "numpy", "length": SMALL_TEST, "batch_size": 1000}),
   ]

   __lowercase								=						[
       (read, {"length": SMALL_TEST}),
       (read, {"length": SPEED_TEST_N_EXAMPLES}),
       (read_batch, {"length": SPEED_TEST_N_EXAMPLES, "batch_size": 10}),
       (read_batch, {"length": SPEED_TEST_N_EXAMPLES, "batch_size": 100}),
       (read_batch, {"length": SPEED_TEST_N_EXAMPLES, "batch_size": 1000}),
       (read_formatted, {"type": "numpy", "length": SMALL_TEST}),
       (read_formatted_batch, {"type": "numpy", "length": SMALL_TEST, "batch_size": 10}),
       (read_formatted_batch, {"type": "numpy", "length": SMALL_TEST, "batch_size": 1000}),
   ]
   with tempfile.TemporaryDirectory() as tmp_dir:
      print("generating dataset")
      __lowercase								=						datasets.Features(
          {"list": datasets.Sequence(datasets.Value("float32")), "numbers": datasets.Value("float32")})
      __lowercase								=						generate_example_dataset(
          os.path.join(UpperCamelCase_,      "dataset.arrow"),      UpperCamelCase_,      num_examples=UpperCamelCase_,      seq_shapes={"list": (100,)},      )
      print("first set of iterations")
      for func, kwargs in functions:
         print(func.__name__,      str(UpperCamelCase_))
         __lowercase								=						func(UpperCamelCase_,      **UpperCamelCase_)

      print("shuffling dataset")
      __lowercase								=						dataset.shuffle()
      print("Second set of iterations (after shuffling")
      for func, kwargs in functions_shuffled:
         print("shuffled ",      func.__name__,      str(UpperCamelCase_))
         __lowercase								=						func(
             UpperCamelCase_,      **UpperCamelCase_)

   with open(UpperCamelCase_,      "wb") as f:
      f.write(json.dumps(UpperCamelCase_).encode("utf-8"))


if __name__ == "__main__":  # useful to run the profiler
   benchmark_iterating()




