






import mpmath  # for roots of unity
import numpy as np




class 		UpperCAmelCase_						:


						'''simple docstring'''




						def __init__(	self		,				_SCREAMING_SNAKE_CASE=None		,				_SCREAMING_SNAKE_CASE=None				) ->				Union[str, Any]:
								# Input as list
								snake_case_				:							List[str]						 =       list(poly_a or [0]				)[:]
								snake_case_				:							Any						 =       list(poly_b or [0]				)[:]

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

								while self.polyB[-1] == 0:
										self.polyB.pop()
								snake_case_				:							str						 =       len(self.polyB				)

								# Add 0 to make lengths equal a power of 2
								snake_case_				:							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
								snake_case_				:							Any						 =       complex(mpmath.root(x=1		,				n=self.c_max_length		,				k=1				)				)

								# The product
								snake_case_				:							Union[str, Any]						 =       self.__multiply()






						def       _lowerCAmelCase       (	self		,				_SCREAMING_SNAKE_CASE				) ->				List[Any]:
								snake_case_				:							int						 =       [[x] for x in self.polyA] if which == "A" else [[x] for x in self.polyB]
								# Corner case
								if len(_SCREAMING_SNAKE_CASE				) <= 1:
										return dft[0]
								#
								snake_case_				:							Union[str, Any]						 =       self.c_max_length // 2
								while next_ncol > 0:
										snake_case_				:							Optional[int]						 =       [[] for i in range(_SCREAMING_SNAKE_CASE				)]
										snake_case_				:							List[Any]						 =       self.root**next_ncol

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






						def       _lowerCAmelCase       (	self				) ->				Optional[int]:
								snake_case_				:							Tuple						 =       self.__dft("A"				)
								snake_case_				:							Tuple						 =       self.__dft("B"				)
								snake_case_				:							Optional[Any]						 =       [[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
								snake_case_				:							Dict						 =       2
								while next_ncol <= self.c_max_length:
										snake_case_				:							Tuple						 =       [[] for i in range(_SCREAMING_SNAKE_CASE				)]
										snake_case_				:							List[Any]						 =       self.root ** (next_ncol // 2)
										snake_case_				:							Optional[Any]						 =       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
										snake_case_				:							str						 =       new_inverse_c
										next_ncol *= 2
								# Unpack
								snake_case_				:							Dict						 =       [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				) ->				Tuple:
								snake_case_				:							int						 =       "A = " + " + ".join(
								    f'''{coef}*x^{i}''' for coef, i in enumerate(self.polyA[: self.len_A]				)				)
								snake_case_				:							Optional[int]						 =       "B = " + " + ".join(
								    f'''{coef}*x^{i}''' for coef, i in enumerate(self.polyB[: self.len_B]				)				)
								snake_case_				:							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 importlib
import json
import os
import sys
import tempfile
import unittest
from pathlib import Path

import transformers
import transformers.models.auto
from transformers.models.auto.configuration_auto import CONFIG_MAPPING, AutoConfig
from transformers.models.bert.configuration_bert import BertConfig
from transformers.models.roberta.configuration_roberta import RobertaConfig
from transformers.testing_utils import DUMMY_UNKNOWN_IDENTIFIER, get_tests_dir


sys.path.append(str(Path(__file__).parent.parent.parent.parent / '''utils'''))

from test_module.custom_configuration import CustomConfig  # noqa E402


lowercase  :							Optional[Any]			  =    get_tests_dir('''fixtures/dummy-config.json''')




class 		UpperCAmelCase_						(	unittest.TestCase					):


						'''simple docstring'''




						def       _lowerCAmelCase       (	self				) ->				int:
								snake_case_				:							str						 =       0






						def       _lowerCAmelCase       (	self				) ->				str:
								self.assertIsNotNone(transformers.models.auto.__spec__				)
								self.assertIsNotNone(importlib.util.find_spec("transformers.models.auto"				)				)






						def       _lowerCAmelCase       (	self				) ->				int:
								snake_case_				:							List[Any]						 =       AutoConfig.from_pretrained("bert-base-uncased"				)
								self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				Optional[int]:
								snake_case_				:							List[str]						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE				)
								self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				str:
								snake_case_				:							str						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE				)
								self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				Dict:
								snake_case_				:							Tuple						 =       AutoConfig.for_model("roberta"				)
								self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				Tuple:
								with tempfile.TemporaryDirectory() as tmp_dir:
										# This model name contains bert and roberta, but roberta ends up being picked.
										snake_case_				:							str						 =       os.path.join(_SCREAMING_SNAKE_CASE		,				"fake-roberta"				)
										os.makedirs(_SCREAMING_SNAKE_CASE		,				exist_ok=_SCREAMING_SNAKE_CASE				)
										with open(os.path.join(_SCREAMING_SNAKE_CASE		,				"config.json"				)		,				"w"				) as f:
												f.write(json.dumps({}				)				)
										snake_case_				:							int						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE				)
										self.assertEqual(type(_SCREAMING_SNAKE_CASE				)		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				Dict:
								try:
										AutoConfig.register("custom"		,				_SCREAMING_SNAKE_CASE				)
										# Wrong model type will raise an error
										with self.assertRaises(_SCREAMING_SNAKE_CASE				):
												AutoConfig.register("model"		,				_SCREAMING_SNAKE_CASE				)
										# Trying to register something existing in the Transformers library will raise an error
										with self.assertRaises(_SCREAMING_SNAKE_CASE				):
												AutoConfig.register("bert"		,				_SCREAMING_SNAKE_CASE				)

										# Now that the config is registered, it can be used as any other config with the auto-API
										snake_case_				:							Union[str, Any]						 =       CustomConfig()
										with tempfile.TemporaryDirectory() as tmp_dir:
												config.save_pretrained(_SCREAMING_SNAKE_CASE				)
												snake_case_				:							int						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE				)
												self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)

								finally:
										if "custom" in CONFIG_MAPPING._extra_content:
												del CONFIG_MAPPING._extra_content["custom"]






						def       _lowerCAmelCase       (	self				) ->				int:
								with self.assertRaisesRegex(
								    _SCREAMING_SNAKE_CASE		,				"bert-base is not a local folder and is not a valid model identifier"				):
										snake_case_				:							Optional[Any]						 =       AutoConfig.from_pretrained("bert-base"				)






						def       _lowerCAmelCase       (	self				) ->				Tuple:
								with self.assertRaisesRegex(
								    _SCREAMING_SNAKE_CASE		,				r"aaaaaa is not a valid git identifier \(branch name, tag name or commit id\)"				):
										snake_case_				:							List[Any]						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE		,				revision="aaaaaa"				)






						def       _lowerCAmelCase       (	self				) ->				str:
								with self.assertRaisesRegex(
								    _SCREAMING_SNAKE_CASE		,				"hf-internal-testing/no-config-test-repo does not appear to have a file named config.json."		,				):
										snake_case_				:							Dict						 =       AutoConfig.from_pretrained("hf-internal-testing/no-config-test-repo"				)






						def       _lowerCAmelCase       (	self				) ->				Optional[int]:
								# If remote code is not set, we will time out when asking whether to load the model.
								with self.assertRaises(_SCREAMING_SNAKE_CASE				):
										snake_case_				:							Tuple						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"				)
								# If remote code is disabled, we can't load this config.
								with self.assertRaises(_SCREAMING_SNAKE_CASE				):
										snake_case_				:							Optional[Any]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)

								snake_case_				:							List[Any]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)
								self.assertEqual(config.__class__.__name__		,				"NewModelConfig"				)

								# Test config can be reloaded.
								with tempfile.TemporaryDirectory() as tmp_dir:
										config.save_pretrained(_SCREAMING_SNAKE_CASE				)
										snake_case_				:							Optional[Any]						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)
								self.assertEqual(reloaded_config.__class__.__name__		,				"NewModelConfig"				)






						def       _lowerCAmelCase       (	self				) ->				Optional[Any]:




								class 		UpperCAmelCase_						(	SCREAMING_SNAKE_CASE__					):


														'''simple docstring'''




														A     :   List[Any]						=					'new-model'

								try:
										AutoConfig.register("new-model"		,				_SCREAMING_SNAKE_CASE				)
										# If remote code is not set, the default is to use local
										snake_case_				:							Union[str, Any]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"				)
										self.assertEqual(config.__class__.__name__		,				"NewModelConfigLocal"				)

										# If remote code is disabled, we load the local one.
										snake_case_				:							Optional[Any]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)
										self.assertEqual(config.__class__.__name__		,				"NewModelConfigLocal"				)

										# If remote is enabled, we load from the Hub
										snake_case_				:							List[str]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)
										self.assertEqual(config.__class__.__name__		,				"NewModelConfig"				)

								finally:
										if "new-model" in CONFIG_MAPPING._extra_content:
												del CONFIG_MAPPING._extra_content["new-model"]
