




from typing import List, Optional, Tuple

from tokenizers import pre_tokenizers

from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import logging
from .tokenization_clip import CLIPTokenizer


__lowerCamelCase :    Optional[int]      						=      logging.get_logger(__name__)

__lowerCamelCase :    List[Any]      						=      {'''vocab_file''': '''vocab.json''', '''merges_file''': '''merges.txt''', '''tokenizer_file''': '''tokenizer.json'''}

__lowerCamelCase :    List[str]      						=      {
    '''vocab_file''': {
        '''openai/clip-vit-base-patch32''': '''https://huggingface.co/openai/clip-vit-base-patch32/resolve/main/vocab.json''',
    },
    '''merges_file''': {
        '''openai/clip-vit-base-patch32''': '''https://huggingface.co/openai/clip-vit-base-patch32/resolve/main/merges.txt''',
    },
    '''tokenizer_file''': {
        '''openai/clip-vit-base-patch32''': (
            '''https://huggingface.co/openai/clip-vit-base-patch32/resolve/main/tokenizer.json'''
        ),
    },
}

__lowerCamelCase :    Optional[Any]      						=      {
    '''openai/clip-vit-base-patch32''': 77,
}


class  lowerCamelCase     (		_lowerCamelCase    ):






			'''simple docstring'''





			UpperCamelCase__										=VOCAB_FILES_NAMES
			UpperCamelCase__										=PRETRAINED_VOCAB_FILES_MAP
			UpperCamelCase__										=PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
			UpperCamelCase__										=['''input_ids''', '''attention_mask''']
			UpperCamelCase__										=CLIPTokenizer

			def __init__(			self      : List[str]							,    lowerCamelCase_      : Dict=None							,    lowerCamelCase_      : Any=None							,    lowerCamelCase_      : Optional[int]=None							,    lowerCamelCase_      : List[Any]="<|endoftext|>"							,    lowerCamelCase_      : List[Any]="<|startoftext|>"							,    lowerCamelCase_      : List[Any]="<|endoftext|>"							,    lowerCamelCase_      : str="<|endoftext|>"							,    **lowerCamelCase_      : str							,    )    -> Optional[int]:
								super().__init__(
								    lowerCamelCase_							,    lowerCamelCase_							,    tokenizer_file=lowerCamelCase_							,    unk_token=lowerCamelCase_							,    bos_token=lowerCamelCase_							,    eos_token=lowerCamelCase_							,    pad_token=lowerCamelCase_							,    **lowerCamelCase_							,    )

								if not isinstance(self.backend_tokenizer.pre_tokenizer							,    pre_tokenizers.Sequence	):
													raise ValueError(
													    '''The `backend_tokenizer` provided does not match the expected format. The CLIP tokenizer has been'''
													    ''' heavily modified from transformers version 4.17.0. You need to convert the tokenizer you are using'''
													    ''' to be compatible with this version.The easiest way to do so is'''
													    ''' `CLIPTokenizerFast.from_pretrained("path_to_local_folder_or_hub_repo, from_slow=True)`. If you want'''
													    ''' to use your existing tokenizer, you will have to revert to a version prior to 4.17.0 of'''
													    ''' transformers.'''	)

								self._wrap_decode_method_backend_tokenizer()

			def 				UpperCAmelCase__							(			self      : Optional[int]	)    -> List[str]:
								__magic_name__				:						str     				=				self.backend_tokenizer.decode

								def new_decode_method(*lowerCamelCase_      : Dict							,    **lowerCamelCase_      : Dict	):
													__magic_name__				:						List[Any]     				=				orig_decode_method(*lowerCamelCase_							,    **lowerCamelCase_	)
													__magic_name__				:						Union[str, Any]     				=				text.replace(self.backend_tokenizer.model.end_of_word_suffix							,    ''' '''	).strip()
													return text

								__magic_name__				:						List[str]     				=				new_decode_method

			def 				UpperCAmelCase__							(			self      : Any							,    lowerCamelCase_      : List[int]							,    lowerCamelCase_      : Optional[List[int]] = None	)    -> List[int]:
								__magic_name__				:						Union[str, Any]     				=				[self.bos_token_id]
								__magic_name__				:						Tuple     				=				[self.eos_token_id]

								if token_ids_a is None:
													return bos_token + token_ids_a + eos_token
								return bos_token + token_ids_a + eos_token + eos_token + token_ids_a + eos_token

			def 				UpperCAmelCase__							(			self      : Union[str, Any]							,    lowerCamelCase_      : List[int]							,    lowerCamelCase_      : Optional[List[int]] = None	)    -> List[int]:
								__magic_name__				:						List[str]     				=				[self.bos_token_id]
								__magic_name__				:						Union[str, Any]     				=				[self.eos_token_id]

								if token_ids_a is None:
													return len(bos_token + token_ids_a + eos_token	) * [0]
								return len(bos_token + token_ids_a + eos_token + eos_token + token_ids_a + eos_token	) * [0]


			def 				UpperCAmelCase__							(			self      : List[str]							,    lowerCamelCase_      : str							,    lowerCamelCase_      : Optional[str] = None	)    -> Tuple[str]:
								__magic_name__				:						Any     				=				self._tokenizer.model.save(lowerCamelCase_							,    name=lowerCamelCase_	)
								return tuple(lowerCamelCase_	)









def 		lowercase__ (		__A:						list[list[int]]					):





					'''simple docstring'''






					if len(__A					) == 0 or not all(len(__A					) == 2 for pair in coordinates					):
										raise ValueError('''The program cannot work out a fitting polynomial.'''					)

					if len({tuple(__A					) for pair in coordinates}					) != len(__A					):
										raise ValueError('''The program cannot work out a fitting polynomial.'''					)

					__magic_name__				:						Union[str, Any]     				=				{x for x, _ in coordinates}
					if len(__A					) == 1:
										return F'''x={coordinates[0][0]}'''

					if len(__A					) != len(__A					):
										raise ValueError('''The program cannot work out a fitting polynomial.'''					)

					__magic_name__				:						List[Any]     				=				len(__A					)

					__magic_name__				:						int     				=				0
					__magic_name__				:						list[list[float]]     				=				[]
					# put the x and x to the power values in a matrix
					while count_of_line < x:
										__magic_name__				:						List[Any]     				=				0
										__magic_name__				:						List[str]     				=				coordinates[count_of_line][0]
										__magic_name__				:						list[float]     				=				[]
										while count_in_line < x:
															count_line.append(a ** (x - (count_in_line + 1))					)
															count_in_line += 1
										matrix.append(__A					)
										count_of_line += 1

					__magic_name__				:						Union[str, Any]     				=				0
					# put the y values into a vector
					__magic_name__				:						list[float]     				=				[]
					while count_of_line < x:
										vector.append(coordinates[count_of_line][1]					)
										count_of_line += 1

					__magic_name__				:						int     				=				0

					while count < x:
										__magic_name__				:						int     				=				0
										while zahlen < x:
															if count == zahlen:
																				zahlen += 1
															if zahlen == x:
																				break
															__magic_name__				:						Tuple     				=				matrix[zahlen][count] / matrix[count][count]
															for counting_columns, item in enumerate(matrix[count]					):
																				# manipulating all the values in the matrix
																				matrix[zahlen][counting_columns] -= item * bruch
															# manipulating the values in the vector
															vector[zahlen] -= vector[count] * bruch
															zahlen += 1
										count += 1

					__magic_name__				:						str     				=				0
					# make solutions
					__magic_name__				:						list[str]     				=				[]
					while count < x:
										solution.append(str(vector[count] / matrix[count][count]					)					)
										count += 1

					__magic_name__				:						List[Any]     				=				0
					__magic_name__				:						Union[str, Any]     				=				'''f(x)='''

					while count < x:
										__magic_name__				:						list[str]     				=				solution[count].split('''E'''					)
										if len(__A					) > 1:
															__magic_name__				:						Union[str, Any]     				=				F'''{remove_e[0]}*10^{remove_e[1]}'''
										solved += F'''x^{x - (count + 1)}*{solution[count]}'''
										if count + 1 != x:
															solved += "+"
										count += 1

					return solved


if __name__ == "__main__":
	print(points_to_polynomial([]))
	print(points_to_polynomial([[]]))
	print(points_to_polynomial([[1, 0], [2, 0], [3, 0]]))
	print(points_to_polynomial([[1, 1], [2, 1], [3, 1]]))
	print(points_to_polynomial([[1, 3], [2, 3], [3, 3]]))
	print(points_to_polynomial([[1, 1], [2, 2], [3, 3]]))
	print(points_to_polynomial([[1, 1], [2, 4], [3, 9]]))
	print(points_to_polynomial([[1, 3], [2, 6], [3, 11]]))
	print(points_to_polynomial([[1, -3], [2, -6], [3, -11]]))
	print(points_to_polynomial([[1, 5], [2, 2], [3, 9]]))



