



"""simple docstring"""







from __future__ import annotations

from collections.abc import MutableSequence







class       UpperCamelCase__   :




      """simple docstring"""




      def __init__(      self				:      Optional[int]    ,			SCREAMING_SNAKE_CASE_				:      int    ,			SCREAMING_SNAKE_CASE_				:      MutableSequence[float]       ):
        if len(SCREAMING_SNAKE_CASE_       ) != degree + 1:
          raise ValueError(
              'The number of coefficients should be equal to the degree + 1.'       )

        lowerCAmelCase_   :				list[float]								= list(SCREAMING_SNAKE_CASE_       )
        lowerCAmelCase_   :				int								= degree



      def __add__(      self				:      Tuple    ,			SCREAMING_SNAKE_CASE_				:      Polynomial       ):

        if self.degree > polynomial_a.degree:
          lowerCAmelCase_   :				List[Any]								= self.coefficients[:]
          for i in range(polynomial_a.degree + 1       ):
            coefficients[i] += polynomial_a.coefficients[i]
          return Polynomial(self.degree    ,			SCREAMING_SNAKE_CASE_       )
        else:
          lowerCAmelCase_   :				Any								= polynomial_a.coefficients[:]
          for i in range(self.degree + 1       ):
            coefficients[i] += self.coefficients[i]
          return Polynomial(polynomial_a.degree    ,			SCREAMING_SNAKE_CASE_       )



      def __sub__(      self				:      List[Any]    ,			SCREAMING_SNAKE_CASE_				:      Polynomial       ):
        return self + polynomial_a * Polynomial(0    ,			[-1]       )



      def __neg__(      self				:      Any       ):
        return Polynomial(self.degree    ,			[-c for c in self.coefficients]       )



      def __mul__(      self				:      List[str]    ,			SCREAMING_SNAKE_CASE_				:      Polynomial       ):
        lowerCAmelCase_   :				list[float]								= [0] * (self.degree + polynomial_a.degree + 1)
        for i in range(self.degree + 1       ):
          for j in range(polynomial_a.degree + 1       ):
            coefficients[i + j] += (
                self.coefficients[i] * polynomial_a.coefficients[j]
            )

        return Polynomial(self.degree + polynomial_a.degree    ,			SCREAMING_SNAKE_CASE_       )



      def      SCREAMING_SNAKE_CASE__ (      self				:      Dict    ,			SCREAMING_SNAKE_CASE_				:      int | float       ):
        lowerCAmelCase_   :				int | float								= 0
        for i in range(self.degree + 1       ):
          result += self.coefficients[i] * (substitution**i)
        return result



      def __str__(      self				:      Optional[int]       ):
        lowerCAmelCase_   :				List[str]								= ''
        for i in range(self.degree    ,			-1    ,			-1       ):
          if self.coefficients[i] == 0:
            continue
          elif self.coefficients[i] > 0:
            if polynomial:
              polynomial += " + "
          else:
            polynomial += " - "

          if i == 0:
            polynomial += str(abs(self.coefficients[i]       )       )
          elif i == 1:
            polynomial += str(abs(self.coefficients[i]       )       ) + "x"
          else:
            polynomial += str(abs(self.coefficients[i]       )       ) + "x^" + str(SCREAMING_SNAKE_CASE_       )

        return polynomial



      def __repr__(      self				:      Union[str, Any]       ):
        return self.__str__()



      def      SCREAMING_SNAKE_CASE__ (      self				:      Union[str, Any]       ):
        lowerCAmelCase_   :				list[float]								= [0] * self.degree
        for i in range(self.degree       ):
          lowerCAmelCase_   :				Union[str, Any]								= self.coefficients[i + 1] * (i + 1)
        return Polynomial(self.degree - 1    ,			SCREAMING_SNAKE_CASE_       )



      def      SCREAMING_SNAKE_CASE__ (      self				:      List[Any]    ,			SCREAMING_SNAKE_CASE_				:      int | float = 0       ):
        lowerCAmelCase_   :				list[float]								= [0] * (self.degree + 2)
        lowerCAmelCase_   :				str								= constant
        for i in range(self.degree + 1       ):
          lowerCAmelCase_   :				Optional[Any]								= self.coefficients[i] / (i + 1)
        return Polynomial(self.degree + 1    ,			SCREAMING_SNAKE_CASE_       )



      def __eq__(      self				:      Any    ,			SCREAMING_SNAKE_CASE_				:      object       ):
        if not isinstance(SCREAMING_SNAKE_CASE_    ,			SCREAMING_SNAKE_CASE_       ):
          return False

        if self.degree != polynomial_a.degree:
          return False

        for i in range(self.degree + 1       ):
          if self.coefficients[i] != polynomial_a.coefficients[i]:
            return False

        return True





      def __ne__(      self				:      Optional[Any]    ,			SCREAMING_SNAKE_CASE_				:      object       ):
        return not self.__eq__(SCREAMING_SNAKE_CASE_       )










"""simple docstring"""







import json
import logging
import os
import sys
from time import time
from unittest.mock import patch

from transformers.testing_utils import TestCasePlus, require_torch_tpu


logging.basicConfig(level=logging.DEBUG)

lowercase__		:				List[str]          =	logging.getLogger()

def 				UpperCamelCase_    (    lowerCAmelCase__      :				str						)						->   Dict:

  """simple docstring"""




  lowerCAmelCase_   :				Dict								= {}
  lowerCAmelCase_   :				Union[str, Any]								= os.path.join(lowerCAmelCase__    ,   'all_results.json'						)
  if os.path.exists(lowerCAmelCase__						):
    with open(lowerCAmelCase__    ,   'r'						) as f:
      lowerCAmelCase_   :				Any								= json.load(lowerCAmelCase__						)
  else:
    raise ValueError(f"can't find {path}"						)
  return results


lowercase__		:				Optional[int]          =	logging.StreamHandler(sys.stdout)
logger.addHandler(stream_handler)







@require_torch_tpu
class       UpperCamelCase__   (	lowercase_  ):




      """simple docstring"""




      def      SCREAMING_SNAKE_CASE__ (      self				:      Any       ):
        import xla_spawn

        lowerCAmelCase_   :				Union[str, Any]								= self.get_auto_remove_tmp_dir()
        lowerCAmelCase_   :				Optional[Any]								= F"\n            ./examples/pytorch/text-classification/run_glue.py\n            --num_cores=8\n            ./examples/pytorch/text-classification/run_glue.py\n            --model_name_or_path distilbert-base-uncased\n            --output_dir {tmp_dir}\n            --overwrite_output_dir\n            --train_file ./tests/fixtures/tests_samples/MRPC/train.csv\n            --validation_file ./tests/fixtures/tests_samples/MRPC/dev.csv\n            --do_train\n            --do_eval\n            --debug tpu_metrics_debug\n            --per_device_train_batch_size=2\n            --per_device_eval_batch_size=1\n            --learning_rate=1e-4\n            --max_steps=10\n            --warmup_steps=2\n            --seed=42\n            --max_seq_length=128\n            ".split()

        with patch.object(SCREAMING_SNAKE_CASE_    ,			'argv'    ,			SCREAMING_SNAKE_CASE_       ):
          lowerCAmelCase_   :				Optional[Any]								= time()
          xla_spawn.main()
          lowerCAmelCase_   :				Any								= time()

          lowerCAmelCase_   :				Dict								= get_results(SCREAMING_SNAKE_CASE_       )
          self.assertGreaterEqual(result['eval_accuracy']    ,			0.75       )

          # Assert that the script takes less than 500 seconds to make sure it doesn't hang.
          self.assertLess(end - start    ,			5_0_0       )





      def      SCREAMING_SNAKE_CASE__ (      self				:      List[str]       ):
        import xla_spawn

        lowerCAmelCase_   :				Dict								= '\n            ./tests/test_trainer_tpu.py\n            --num_cores=8\n            ./tests/test_trainer_tpu.py\n            '.split()
        with patch.object(SCREAMING_SNAKE_CASE_    ,			'argv'    ,			SCREAMING_SNAKE_CASE_       ):
          xla_spawn.main()





