


'''simple docstring'''






import mpmath  # for roots of unity
import numpy as np




class 	a__       :





							'''simple docstring'''






							def __init__(	self      ,					lowerCamelCase_=None      ,					lowerCamelCase_=None     ) ->							Tuple:
														# Input as list
														lowerCAmelCase__      =			list(poly_a or [0]     )[:]
														lowerCAmelCase__      =			list(poly_b or [0]     )[:]

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

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

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

														# The product
														lowerCAmelCase__      =			self.__multiply()







							def 						__SCREAMING_SNAKE_CASE							(	self      ,					lowerCamelCase_     ) ->							str:
														lowerCAmelCase__      =			[[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]
														#
														lowerCAmelCase__      =			self.c_max_length // 2
														while next_ncol > 0:
																					lowerCAmelCase__      =			[[] for i in range(lowerCamelCase_     )]
																					lowerCAmelCase__      =			self.root**next_ncol

																					# First half of next step
																					lowerCAmelCase__      =			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
																					lowerCAmelCase__      =			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
																					lowerCAmelCase__      =			new_dft
																					lowerCAmelCase__      =			next_ncol // 2
														return dft[0]







							def 						__SCREAMING_SNAKE_CASE							(	self     ) ->							str:
														lowerCAmelCase__      =			self.__dft('''A'''     )
														lowerCAmelCase__      =			self.__dft('''B'''     )
														lowerCAmelCase__      =			[[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
														lowerCAmelCase__      =			2
														while next_ncol <= self.c_max_length:
																					lowerCAmelCase__      =			[[] for i in range(lowerCamelCase_     )]
																					lowerCAmelCase__      =			self.root ** (next_ncol // 2)
																					lowerCAmelCase__      =			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
																					lowerCAmelCase__      =			new_inverse_c
																					next_ncol *= 2
														# Unpack
														lowerCAmelCase__      =			[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     ) ->							Optional[int]:
														lowerCAmelCase__      =			'''A = ''' + ''' + '''.join(
														    F"""{coef}*x^{i}""" for coef, i in enumerate(self.polyA[: self.len_A]     )     )
														lowerCAmelCase__      =			'''B = ''' + ''' + '''.join(
														    F"""{coef}*x^{i}""" for coef, i in enumerate(self.polyB[: self.len_B]     )     )
														lowerCAmelCase__      =			'''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()



'''simple docstring'''






import tempfile
import unittest

import numpy as np
from huggingface_hub import HfFolder, delete_repo
from requests.exceptions import HTTPError

from transformers import BertConfig, is_flax_available
from transformers.testing_utils import TOKEN, USER, is_staging_test, require_flax


if is_flax_available():
		import os

		from flax.core.frozen_dict import unfreeze
		from flax.traverse_util import flatten_dict

		from transformers import FlaxBertModel

		__UpperCAmelCase					       =							'''0.12'''  # assumed parallelism: 8




@require_flax
@is_staging_test
class 	a__       (							unittest.TestCase						):





							'''simple docstring'''






							@classmethod
							def 						__SCREAMING_SNAKE_CASE							(	cls     ) ->							Any:
														lowerCAmelCase__      =			TOKEN
														HfFolder.save_token(lowerCamelCase_     )







							@classmethod
							def 						__SCREAMING_SNAKE_CASE							(	cls     ) ->							Tuple:
														try:
																					delete_repo(token=cls._token      ,					repo_id='''test-model-flax'''     )
														except HTTPError:
																					pass

														try:
																					delete_repo(token=cls._token      ,					repo_id='''valid_org/test-model-flax-org'''     )
														except HTTPError:
																					pass







							def 						__SCREAMING_SNAKE_CASE							(	self     ) ->							List[Any]:
														lowerCAmelCase__      =			BertConfig(
														    vocab_size=99      ,					hidden_size=32      ,					num_hidden_layers=5      ,					num_attention_heads=4      ,					intermediate_size=37     )
														lowerCAmelCase__      =			FlaxBertModel(lowerCamelCase_     )
														model.push_to_hub('''test-model-flax'''      ,					use_auth_token=self._token     )

														lowerCAmelCase__      =			FlaxBertModel.from_pretrained(F"""{USER}/test-model-flax"""     )

														lowerCAmelCase__      =			flatten_dict(unfreeze(model.params     )     )
														lowerCAmelCase__      =			flatten_dict(unfreeze(new_model.params     )     )

														for key in base_params.keys():
																					lowerCAmelCase__      =			(base_params[key] - new_params[key]).sum().item()
																					self.assertLessEqual(lowerCamelCase_      ,					1e-3      ,					msg=F"""{key} not identical"""     )

														# Reset repo
														delete_repo(token=self._token      ,					repo_id='''test-model-flax'''     )

														# Push to hub via save_pretrained
														with tempfile.TemporaryDirectory() as tmp_dir:
																					model.save_pretrained(lowerCamelCase_      ,					repo_id='''test-model-flax'''      ,					push_to_hub=lowerCamelCase_      ,					use_auth_token=self._token     )

														lowerCAmelCase__      =			FlaxBertModel.from_pretrained(F"""{USER}/test-model-flax"""     )

														lowerCAmelCase__      =			flatten_dict(unfreeze(model.params     )     )
														lowerCAmelCase__      =			flatten_dict(unfreeze(new_model.params     )     )

														for key in base_params.keys():
																					lowerCAmelCase__      =			(base_params[key] - new_params[key]).sum().item()
																					self.assertLessEqual(lowerCamelCase_      ,					1e-3      ,					msg=F"""{key} not identical"""     )







							def 						__SCREAMING_SNAKE_CASE							(	self     ) ->							Union[str, Any]:
														lowerCAmelCase__      =			BertConfig(
														    vocab_size=99      ,					hidden_size=32      ,					num_hidden_layers=5      ,					num_attention_heads=4      ,					intermediate_size=37     )
														lowerCAmelCase__      =			FlaxBertModel(lowerCamelCase_     )
														model.push_to_hub('''valid_org/test-model-flax-org'''      ,					use_auth_token=self._token     )

														lowerCAmelCase__      =			FlaxBertModel.from_pretrained('''valid_org/test-model-flax-org'''     )

														lowerCAmelCase__      =			flatten_dict(unfreeze(model.params     )     )
														lowerCAmelCase__      =			flatten_dict(unfreeze(new_model.params     )     )

														for key in base_params.keys():
																					lowerCAmelCase__      =			(base_params[key] - new_params[key]).sum().item()
																					self.assertLessEqual(lowerCamelCase_      ,					1e-3      ,					msg=F"""{key} not identical"""     )

														# Reset repo
														delete_repo(token=self._token      ,					repo_id='''valid_org/test-model-flax-org'''     )

														# Push to hub via save_pretrained
														with tempfile.TemporaryDirectory() as tmp_dir:
																					model.save_pretrained(
																					    lowerCamelCase_      ,					repo_id='''valid_org/test-model-flax-org'''      ,					push_to_hub=lowerCamelCase_      ,					use_auth_token=self._token     )

														lowerCAmelCase__      =			FlaxBertModel.from_pretrained('''valid_org/test-model-flax-org'''     )

														lowerCAmelCase__      =			flatten_dict(unfreeze(model.params     )     )
														lowerCAmelCase__      =			flatten_dict(unfreeze(new_model.params     )     )

														for key in base_params.keys():
																					lowerCAmelCase__      =			(base_params[key] - new_params[key]).sum().item()
																					self.assertLessEqual(lowerCamelCase_      ,					1e-3      ,					msg=F"""{key} not identical"""     )


def       _snake_case     (  A				,					A )		->					Optional[int]:
							lowerCAmelCase__      =			True
							lowerCAmelCase__      =			flatten_dict(modela.params )
							lowerCAmelCase__      =			flatten_dict(modela.params )
							for key in flat_params_a.keys():
														if np.sum(np.abs(flat_params_a[key] - flat_params_a[key] ) ) > 1E-4:
																					lowerCAmelCase__      =			False

							return models_are_equal






@require_flax
class 	a__       (							unittest.TestCase						):





							'''simple docstring'''






							def 						__SCREAMING_SNAKE_CASE							(	self     ) ->							Optional[Any]:
														lowerCAmelCase__      =			BertConfig.from_pretrained('''hf-internal-testing/tiny-bert-flax-only'''     )
														lowerCAmelCase__      =			FlaxBertModel(lowerCamelCase_     )

														lowerCAmelCase__      =			'''bert'''
														with tempfile.TemporaryDirectory() as tmp_dir:
																					model.save_pretrained(os.path.join(lowerCamelCase_      ,					lowerCamelCase_     )     )

																					with self.assertRaises(lowerCamelCase_     ):
																												lowerCAmelCase__      =			FlaxBertModel.from_pretrained(lowerCamelCase_     )

																					lowerCAmelCase__      =			FlaxBertModel.from_pretrained(lowerCamelCase_      ,					subfolder=lowerCamelCase_     )

														self.assertTrue(check_models_equal(lowerCamelCase_      ,					lowerCamelCase_     )     )







							def 						__SCREAMING_SNAKE_CASE							(	self     ) ->							List[Any]:
														lowerCAmelCase__      =			BertConfig.from_pretrained('''hf-internal-testing/tiny-bert-flax-only'''     )
														lowerCAmelCase__      =			FlaxBertModel(lowerCamelCase_     )

														lowerCAmelCase__      =			'''bert'''
														with tempfile.TemporaryDirectory() as tmp_dir:
																					model.save_pretrained(os.path.join(lowerCamelCase_      ,					lowerCamelCase_     )      ,					max_shard_size='''10KB'''     )

																					with self.assertRaises(lowerCamelCase_     ):
																												lowerCAmelCase__      =			FlaxBertModel.from_pretrained(lowerCamelCase_     )

																					lowerCAmelCase__      =			FlaxBertModel.from_pretrained(lowerCamelCase_      ,					subfolder=lowerCamelCase_     )

														self.assertTrue(check_models_equal(lowerCamelCase_      ,					lowerCamelCase_     )     )







							def 						__SCREAMING_SNAKE_CASE							(	self     ) ->							Optional[Any]:
														lowerCAmelCase__      =			'''bert'''
														lowerCAmelCase__      =			'''hf-internal-testing/tiny-random-bert-subfolder'''

														with self.assertRaises(lowerCamelCase_     ):
																					lowerCAmelCase__      =			FlaxBertModel.from_pretrained(lowerCamelCase_     )

														lowerCAmelCase__      =			FlaxBertModel.from_pretrained(lowerCamelCase_      ,					subfolder=lowerCamelCase_     )

														self.assertIsNotNone(lowerCamelCase_     )







							def 						__SCREAMING_SNAKE_CASE							(	self     ) ->							List[Any]:
														lowerCAmelCase__      =			'''bert'''
														lowerCAmelCase__      =			'''hf-internal-testing/tiny-random-bert-sharded-subfolder'''
														with self.assertRaises(lowerCamelCase_     ):
																					lowerCAmelCase__      =			FlaxBertModel.from_pretrained(lowerCamelCase_     )

														lowerCAmelCase__      =			FlaxBertModel.from_pretrained(lowerCamelCase_      ,					subfolder=lowerCamelCase_     )

														self.assertIsNotNone(lowerCamelCase_     )