





"""simple docstring"""




from math import sqrt





def   lowerCamelCase__       (       UpperCamelCase__     :    Any  )     ->	bool:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (
					    number >= 0
					), "'number' must been an int and positive"

					_snake_case													=			True

					# 0 and 1 are none primes.
					if number <= 1:
										_snake_case													=			False

					for divisor in range(2    ,      int(round(sqrt(_lowerCamelCase  )  )  ) + 1  ):
										# if 'number' divisible by 'divisor' then sets 'status'
										# of false and break up the loop.
										if number % divisor == 0:
															_snake_case													=			False
															break

    # precondition
					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ), "'status' must been from type bool"

					return status





def   lowerCamelCase__       (       UpperCamelCase__     :    Tuple  )     ->	Union[str, Any]:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (n > 2), "'N' must been an int and > 2"

					# beginList: contains all natural numbers from 2 up to N
					_snake_case													=			list(range(2    ,      n + 1  )  )

					_snake_case													=			[]  # this list will be returns.

					# actual sieve of erathostenes
					for i in range(len(_lowerCamelCase  )  ):
										for j in range(i + 1    ,      len(_lowerCamelCase  )  ):
															if (begin_list[i] != 0) and (begin_list[j] % begin_list[i] == 0):
																				_snake_case													=			0

    # filters actual prime numbers.
					_snake_case													=			[x for x in begin_list if x != 0]

					# precondition
					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ), "'ans' must been from type list"

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    Optional[int]  )     ->	List[Any]:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (n > 2), "'N' must been an int and > 2"

					_snake_case													=			[]

					# iterates over all numbers between 2 up to N+1
					# if a number is prime then appends to list 'ans'
					for number in range(2    ,      n + 1  ):
										if is_prime(_lowerCamelCase  ):
															ans.append(_lowerCamelCase  )

    # precondition
					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ), "'ans' must been from type list"

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    Optional[Any]  )     ->	List[Any]:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and number >= 0, "'number' must been an int and >= 0"

					_snake_case													=			[]  # this list will be returns of the function.

					# potential prime number factors.

					_snake_case													=			2

					_snake_case													=			number

					if number == 0 or number == 1:
										ans.append(_lowerCamelCase  )

					# if 'number' not prime then builds the prime factorization of 'number'
					elif not is_prime(_lowerCamelCase  ):
										while quotient != 1:
															if is_prime(_lowerCamelCase  ) and (quotient % factor == 0):
																				ans.append(_lowerCamelCase  )
																				quotient /= factor
															else:
																				factor += 1

					else:
										ans.append(_lowerCamelCase  )

					# precondition
					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ), "'ans' must been from type list"

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    List[str]  )     ->	Any:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (
					    number >= 0
					), "'number' bust been an int and >= 0"

					_snake_case													=			0

					# prime factorization of 'number'
					_snake_case													=			prime_factorization(_lowerCamelCase  )

					_snake_case													=			max(_lowerCamelCase  )

					# precondition
					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ), "'ans' must been from type int"

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    Optional[Any]  )     ->	List[Any]:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (
					    number >= 0
					), "'number' bust been an int and >= 0"

					_snake_case													=			0

					# prime factorization of 'number'
					_snake_case													=			prime_factorization(_lowerCamelCase  )

					_snake_case													=			min(_lowerCamelCase  )

					# precondition
					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ), "'ans' must been from type int"

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    int  )     ->	Dict:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ), "'number' must been an int"
					assert isinstance(number % 2 == 0    ,      _lowerCamelCase  ), "compare bust been from type bool"

					return number % 2 == 0





def   lowerCamelCase__       (       UpperCamelCase__     :    Any  )     ->	Dict:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ), "'number' must been an int"
					assert isinstance(number % 2 != 0    ,      _lowerCamelCase  ), "compare bust been from type bool"

					return number % 2 != 0





def   lowerCamelCase__       (       UpperCamelCase__     :    int  )     ->	Optional[int]:



					'''simple docstring'''




					assert (
					    isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (number > 2) and is_even(_lowerCamelCase  )
					), "'number' must been an int, even and > 2"

					_snake_case													=			[]  # this list will returned

					# creates a list of prime numbers between 2 up to 'number'
					_snake_case													=			get_prime_numbers(_lowerCamelCase  )
					_snake_case													=			len(_lowerCamelCase  )

					# run variable for while-loops.
					_snake_case													=			0
					_snake_case													=			None

					# exit variable. for break up the loops
					_snake_case													=			True

					while i < len_pn and loop:
										_snake_case													=			i + 1

										while j < len_pn and loop:
															if prime_numbers[i] + prime_numbers[j] == number:
																				_snake_case													=			False
																				ans.append(prime_numbers[i]  )
																				ans.append(prime_numbers[j]  )

															j += 1

										i += 1

					# precondition
					assert (
					    isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and (len(_lowerCamelCase  ) == 2)
					    and (ans[0] + ans[1] == number)
					    and is_prime(ans[0]  )
					    and is_prime(ans[1]  )
					), "'ans' must contains two primes. And sum of elements must been eq 'number'"

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    Any    ,      UpperCamelCase__     :    List[Any]  )     ->	Optional[int]:



					'''simple docstring'''




					assert (
					    isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and (numbera >= 0)
					    and (numbera >= 0)
					), "'number1' and 'number2' must been positive integer."

					_snake_case													=			0

					while numbera != 0:
										_snake_case													=			numbera % numbera
										_snake_case													=			numbera
										_snake_case													=			rest

					# precondition
					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (
					    numbera >= 0
					), "'number' must been from type int and positive"

					return numbera





def   lowerCamelCase__       (       UpperCamelCase__     :    str    ,      UpperCamelCase__     :    List[str]  )     ->	Optional[Any]:



					'''simple docstring'''




					assert (
					    isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and (numbera >= 1)
					    and (numbera >= 1)
					), "'number1' and 'number2' must been positive integer."

					_snake_case													=			1  # actual answer that will be return.

					# for kgV (x,1)
					if numbera > 1 and numbera > 1:
										# builds the prime factorization of 'number1' and 'number2'
										_snake_case													=			prime_factorization(_lowerCamelCase  )
										_snake_case													=			prime_factorization(_lowerCamelCase  )

					elif numbera == 1 or numbera == 1:
										_snake_case													=			[]
										_snake_case													=			[]
										_snake_case													=			max(_lowerCamelCase    ,      _lowerCamelCase  )

					_snake_case													=			0
					_snake_case													=			0

					_snake_case													=			[]  # captured numbers int both 'primeFac1' and 'primeFac2'

					# iterates through primeFac1
					for n in prime_fac_a:
										if n not in done:
															if n in prime_fac_a:
																				_snake_case													=			prime_fac_a.count(_lowerCamelCase  )
																				_snake_case													=			prime_fac_a.count(_lowerCamelCase  )

																				for _ in range(max(_lowerCamelCase    ,      _lowerCamelCase  )  ):
																									ans *= n

															else:
																				_snake_case													=			prime_fac_a.count(_lowerCamelCase  )

																				for _ in range(_lowerCamelCase  ):
																									ans *= n

															done.append(_lowerCamelCase  )

    # iterates through primeFac2
					for n in prime_fac_a:
										if n not in done:
															_snake_case													=			prime_fac_a.count(_lowerCamelCase  )

															for _ in range(_lowerCamelCase  ):
																				ans *= n

															done.append(_lowerCamelCase  )

    # precondition
					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (
					    ans >= 0
					), "'ans' must been from type int and positive"

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    Dict  )     ->	Union[str, Any]:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (n >= 0), "'number' must been a positive int"

					_snake_case													=			0
					_snake_case													=			2  # this variable holds the answer

					while index < n:
										index += 1

										ans += 1  # counts to the next number

										# if ans not prime then
										# runs to the next prime number.
										while not is_prime(_lowerCamelCase  ):
															ans += 1

    # precondition
					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and is_prime(
					    _lowerCamelCase  ), "'ans' must been a prime number and from type int"

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    str    ,      UpperCamelCase__     :    List[Any]  )     ->	int:



					'''simple docstring'''




					assert (
					    is_prime(_lowerCamelCase  ) and is_prime(_lowerCamelCase  ) and (p_number_a < p_number_a)
					), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

					_snake_case													=			p_number_a + 1  # jump to the next number

					_snake_case													=			[]  # this list will be returns.

					# if number is not prime then
					# fetch the next prime number.
					while not is_prime(_lowerCamelCase  ):
										number += 1

					while number < p_number_a:
										ans.append(_lowerCamelCase  )

										number += 1

										# fetch the next prime number.
										while not is_prime(_lowerCamelCase  ):
															number += 1

    # precondition
					assert (
					    isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and ans[0] != p_number_a
					    and ans[len(_lowerCamelCase  ) - 1] != p_number_a
					), "'ans' must been a list without the arguments"

					# 'ans' contains not 'pNumber1' and 'pNumber2' !
					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    Any  )     ->	str:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (n >= 1), "'n' must been int and >= 1"

					_snake_case													=			[]  # will be returned.

					for divisor in range(1    ,      n + 1  ):
										if n % divisor == 0:
															ans.append(_lowerCamelCase  )

    # precondition
					assert ans[0] == 1 and ans[len(_lowerCamelCase  ) - 1] == n, "Error in function getDivisiors(...)"

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    int  )     ->	Any:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (
					    number > 1
					), "'number' must been an int and >= 1"

					_snake_case													=			get_divisors(_lowerCamelCase  )

					# precondition
					assert (
					    isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and (divisors[0] == 1)
					    and (divisors[len(_lowerCamelCase  ) - 1] == number)
					), "Error in help-function getDivisiors(...)"

					# summed all divisors up to 'number' (exclusive), hence [:-1]
					return sum(divisors[:-1]  ) == number





def   lowerCamelCase__       (       UpperCamelCase__     :    Dict    ,      UpperCamelCase__     :    int  )     ->	Union[str, Any]:



					'''simple docstring'''




					assert (
					    isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and (denominator != 0)
					), "The arguments must been from type int and 'denominator' != 0"

					# build the greatest common divisor of numerator and denominator.
					_snake_case													=			gcd(abs(_lowerCamelCase  )    ,      abs(_lowerCamelCase  )  )

					# precondition
					assert (
					    isinstance(_lowerCamelCase    ,      _lowerCamelCase  )
					    and (numerator % gcd_of_fraction == 0)
					    and (denominator % gcd_of_fraction == 0)
					), "Error in function gcd(...,...)"

					return (numerator // gcd_of_fraction, denominator // gcd_of_fraction)





def   lowerCamelCase__       (       UpperCamelCase__     :    Any  )     ->	Tuple:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (n >= 0), "'n' must been a int and >= 0"

					_snake_case													=			1  # this will be return.

					for factor in range(1    ,      n + 1  ):
										ans *= factor

					return ans





def   lowerCamelCase__       (       UpperCamelCase__     :    int  )     ->	Optional[Any]:



					'''simple docstring'''




					assert isinstance(_lowerCamelCase    ,      _lowerCamelCase  ) and (n >= 0), "'n' must been an int and >= 0"

					_snake_case													=			0
					_snake_case													=			1
					_snake_case													=			1  # this will be return

					for _ in range(n - 1  ):
										_snake_case													=			ans
										ans += fiba
										_snake_case													=			tmp

					return ans










import argparse

from torch import nn

# transformers_old should correspond to branch `save_old_prophetnet_model_structure` here
# original prophetnet_checkpoints are saved under `patrickvonplaten/..._old` respectively
from transformers_old.modeling_prophetnet import (
    ProphetNetForConditionalGeneration as ProphetNetForConditionalGenerationOld,
)
from transformers_old.modeling_xlm_prophetnet import (
    XLMProphetNetForConditionalGeneration as XLMProphetNetForConditionalGenerationOld,
)

from transformers import ProphetNetForConditionalGeneration, XLMProphetNetForConditionalGeneration, logging


UpperCAmelCase_ 							=       logging.get_logger(__name__)
logging.set_verbosity_info()





def   lowerCamelCase__       (       UpperCamelCase__     :    str    ,      UpperCamelCase__     :    str  )     ->	Union[str, Any]:



					'''simple docstring'''




					if "xprophetnet" in prophetnet_checkpoint_path:
										_snake_case													=			XLMProphetNetForConditionalGenerationOld.from_pretrained(UpperCamelCase__  )
										_snake_case							,       _snake_case													=			XLMProphetNetForConditionalGeneration.from_pretrained(
										    UpperCamelCase__    ,      output_loading_info=UpperCamelCase__  )
					else:
										_snake_case													=			ProphetNetForConditionalGenerationOld.from_pretrained(UpperCamelCase__  )
										_snake_case							,       _snake_case													=			ProphetNetForConditionalGeneration.from_pretrained(
										    UpperCamelCase__    ,      output_loading_info=UpperCamelCase__  )

					_snake_case													=			['key_proj', 'value_proj', 'query_proj']

					_snake_case													=			{
					    'self_attn': 'ngram_self_attn',
					    'cross_attn': 'encoder_attn',
					    'cross_attn_layer_norm': 'encoder_attn_layer_norm',
					    'feed_forward_layer_norm': 'final_layer_norm',
					    'feed_forward': '',
					    'intermediate': 'fc1',
					    'output': 'fc2',
					    'key_proj': 'k_proj',
					    'query_proj': 'q_proj',
					    'value_proj': 'v_proj',
					    'word_embeddings': 'embed_tokens',
					    'embeddings_layer_norm': 'emb_layer_norm',
					    'relative_pos_embeddings': 'relative_linear',
					    'ngram_embeddings': 'ngram_input_embed',
					    'position_embeddings': 'embed_positions',
					}

					for key in loading_info["missing_keys"]:
										_snake_case													=			key.split('.'  )

										if attributes[0] == "lm_head":
															_snake_case													=			prophet
															_snake_case													=			prophet_old
										else:
															_snake_case													=			prophet.prophetnet
															_snake_case													=			prophet_old.model

										_snake_case													=			False
										for attribute in attributes:
															if attribute in mapping:
																				_snake_case													=			mapping[attribute]
																				if not hasattr(UpperCamelCase__    ,      UpperCamelCase__  ) and len(UpperCamelCase__  ) > 0:
																									_snake_case													=			attribute
															elif hasattr(UpperCamelCase__    ,      UpperCamelCase__  ):
																				_snake_case													=			attribute

															if attribute == "weight":
																				assert old_model.weight.shape == model.weight.shape, "Shapes have to match!"
																				_snake_case													=			old_model.weight
																				logger.info(F'''{attribute} is initialized.'''  )
																				_snake_case													=			True
																				break
															elif attribute == "bias":
																				assert old_model.bias.shape == model.bias.shape, "Shapes have to match!"
																				_snake_case													=			old_model.bias
																				logger.info(F'''{attribute} is initialized'''  )
																				_snake_case													=			True
																				break
															elif attribute in special_keys and hasattr(UpperCamelCase__    ,      'in_proj_weight'  ):
																				_snake_case													=			old_model.in_proj_weight.shape[0] // 3
																				_snake_case													=			getattr(UpperCamelCase__    ,      UpperCamelCase__  )
																				param.weight.shape == old_model.in_proj_weight[:embed_dim, :].shape, "Shapes have to match"
																				param.bias.shape == old_model.in_proj_bias[:embed_dim].shape, "Shapes have to match"
																				if attribute == "query_proj":
																									_snake_case													=			nn.Parameter(old_model.in_proj_weight[:embed_dim, :]  )
																									_snake_case													=			nn.Parameter(old_model.in_proj_bias[:embed_dim]  )

																				elif attribute == "key_proj":
																									_snake_case													=			nn.Parameter(old_model.in_proj_weight[embed_dim : 2 * embed_dim, :]  )
																									_snake_case													=			nn.Parameter(old_model.in_proj_bias[embed_dim : 2 * embed_dim]  )
																				elif attribute == "value_proj":
																									_snake_case													=			nn.Parameter(old_model.in_proj_weight[2 * embed_dim :, :]  )
																									_snake_case													=			nn.Parameter(old_model.in_proj_bias[2 * embed_dim :]  )
																				_snake_case													=			True
																				break
															elif attribute == "position_embeddings":
																				assert (
																				    model.position_embeddings.weight.shape[-1] == old_model.embed_positions.weight.shape[-1]
																				), "Hidden size has to match"
																				assert model.position_embeddings.weight.shape[0] == 512, "We want 512 position_embeddings."
																				_snake_case													=			nn.Parameter(old_model.embed_positions.weight[:512, :]  )
																				_snake_case													=			True
																				break

															if attribute.isdigit():
																				_snake_case													=			model[int(UpperCamelCase__  )]
																				_snake_case													=			old_model[int(UpperCamelCase__  )]
															else:
																				_snake_case													=			getattr(UpperCamelCase__    ,      UpperCamelCase__  )

																				if old_attribute == "":
																									_snake_case													=			old_model
																				else:
																									if not hasattr(UpperCamelCase__    ,      UpperCamelCase__  ):
																														raise ValueError(F'''{old_model} does not have {old_attribute}'''  )
																									_snake_case													=			getattr(UpperCamelCase__    ,      UpperCamelCase__  )

										if not is_key_init:
															raise ValueError(F'''{key} was not correctly initialized!'''  )

					print(F'''Saving model to {pytorch_dump_folder_path}'''  )
					prophet.save_pretrained(UpperCamelCase__  )


if __name__ == "__main__":
					UpperCAmelCase_ 							=       argparse.ArgumentParser()
					# Required parameters
					parser.add_argument(
					    """--prophetnet_checkpoint_path""", default=None, type=str, required=True, help="""Path the official PyTorch dump."""
					)
					parser.add_argument(
					    """--pytorch_dump_folder_path""", default=None, type=str, required=True, help="""Path to the output PyTorch model."""
					)
					UpperCAmelCase_ 							=       parser.parse_args()
					convert_prophetnet_checkpoint_to_pytorch(args.prophetnet_checkpoint_path, args.pytorch_dump_folder_path)



