



def      A_ (		__a       :			list[list[int]]						):

				"""simple docstring"""





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

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

				a__			 =						{x for x, _ in coordinates}
				if len(SCREAMING_SNAKE_CASE_						) == 1:
								return F'''x={coordinates[0][0]}'''

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

				a__			 =						len(SCREAMING_SNAKE_CASE_						)

				a__			 =						0
				a__			 =						[]
				# put the x and x to the power values in a matrix
				while count_of_line < x:
								a__			 =						0
								a__			 =						coordinates[count_of_line][0]
								a__			 =						[]
								while count_in_line < x:
												count_line.append(a ** (x - (count_in_line + 1))						)
												count_in_line += 1
								matrix.append(SCREAMING_SNAKE_CASE_						)
								count_of_line += 1

				a__			 =						0
				# put the y values into a vector
				a__			 =						[]
				while count_of_line < x:
								vector.append(coordinates[count_of_line][1]						)
								count_of_line += 1

				a__			 =						0

				while count < x:
								a__			 =						0
								while zahlen < x:
												if count == zahlen:
																zahlen += 1
												if zahlen == x:
																break
												a__			 =						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

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

				a__			 =						0
				a__			 =						"""f(x)="""

				while count < x:
								a__			 =						solution[count].split("""E"""						)
								if len(SCREAMING_SNAKE_CASE_						) > 1:
												a__			 =						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]]))







import json
import os
import shutil
import tempfile
import unittest

from transformers import is_speech_available, is_torch_available
from transformers.models.speechta import SpeechTaTokenizer
from transformers.testing_utils import get_tests_dir, require_torch
from transformers.utils import FEATURE_EXTRACTOR_NAME


if is_speech_available() and is_torch_available():
	from transformers import SpeechTaFeatureExtractor, SpeechTaProcessor

	from .test_feature_extraction_speechta import floats_list


UpperCAmelCase								=   get_tests_dir("""fixtures/test_sentencepiece_bpe_char.model""")

@require_torch
class 	__snake_case (				unittest.TestCase):







							'''simple docstring'''






							def _a (							self						):
											a__			 =						tempfile.mkdtemp()

											a__			 =						SpeechTaTokenizer(a_						)
											tokenizer.save_pretrained(self.tmpdirname						)

											a__			 =						{
											    """feature_size""": 1,
											    """padding_value""": 0.0,
											    """sampling_rate""": 16_000,
											    """do_normalize""": False,
											    """num_mel_bins""": 80,
											    """hop_length""": 16,
											    """win_length""": 64,
											    """win_function""": """hann_window""",
											    """fmin""": 80,
											    """fmax""": 7_600,
											    """mel_floor""": 1E-1_0,
											    """reduction_factor""": 2,
											    """return_attention_mask""": True,
											}

											a__			 =						os.path.join(self.tmpdirname					,					a_						)
											with open(self.feature_extraction_file					,					"""w"""					,					encoding="""utf-8"""						) as fp:
															fp.write(json.dumps(a_						) + """\n"""						)


							def _a (							self					,					**a_						):
											return SpeechTaTokenizer.from_pretrained(self.tmpdirname					,					**a_						)


							def _a (							self					,					**a_						):
											return SpeechTaFeatureExtractor.from_pretrained(self.tmpdirname					,					**a_						)


							def _a (							self						):
											shutil.rmtree(self.tmpdirname						)


							def _a (							self						):
											a__			 =						self.get_tokenizer()
											a__			 =						self.get_feature_extractor()

											a__			 =						SpeechTaProcessor(tokenizer=a_					,					feature_extractor=a_						)

											processor.save_pretrained(self.tmpdirname						)
											a__			 =						SpeechTaProcessor.from_pretrained(self.tmpdirname						)

											self.assertEqual(processor.tokenizer.get_vocab()					,					tokenizer.get_vocab()						)
											self.assertIsInstance(processor.tokenizer					,					a_						)

											self.assertEqual(processor.feature_extractor.to_json_string()					,					feature_extractor.to_json_string()						)
											self.assertIsInstance(processor.feature_extractor					,					a_						)


							def _a (							self						):
											a__			 =						SpeechTaProcessor(tokenizer=self.get_tokenizer()					,					feature_extractor=self.get_feature_extractor()						)
											processor.save_pretrained(self.tmpdirname						)

											a__			 =						self.get_tokenizer(bos_token="""(BOS)"""					,					eos_token="""(EOS)"""						)
											a__			 =						self.get_feature_extractor(do_normalize=a_					,					padding_value=1.0						)

											a__			 =						SpeechTaProcessor.from_pretrained(
											    self.tmpdirname					,					bos_token="""(BOS)"""					,					eos_token="""(EOS)"""					,					do_normalize=a_					,					padding_value=1.0						)

											self.assertEqual(processor.tokenizer.get_vocab()					,					tokenizer_add_kwargs.get_vocab()						)
											self.assertIsInstance(processor.tokenizer					,					a_						)

											self.assertEqual(processor.feature_extractor.to_json_string()					,					feature_extractor_add_kwargs.to_json_string()						)
											self.assertIsInstance(processor.feature_extractor					,					a_						)


							def _a (							self						):
											a__			 =						self.get_feature_extractor()
											a__			 =						self.get_tokenizer()

											a__			 =						SpeechTaProcessor(tokenizer=a_					,					feature_extractor=a_						)

											a__			 =						floats_list((3, 1_000)						)

											a__			 =						feature_extractor(audio=a_					,					return_tensors="""np"""						)
											a__			 =						processor(audio=a_					,					return_tensors="""np"""						)

											for key in input_feat_extract.keys():
															self.assertAlmostEqual(input_feat_extract[key].sum()					,					input_processor[key].sum()					,					delta=1E-2						)


							def _a (							self						):
											a__			 =						self.get_feature_extractor()
											a__			 =						self.get_tokenizer()

											a__			 =						SpeechTaProcessor(tokenizer=a_					,					feature_extractor=a_						)

											a__			 =						floats_list((3, 1_000)						)

											a__			 =						feature_extractor(audio_target=a_					,					return_tensors="""np"""						)
											a__			 =						processor(audio_target=a_					,					return_tensors="""np"""						)

											for key in input_feat_extract.keys():
															self.assertAlmostEqual(input_feat_extract[key].sum()					,					input_processor[key].sum()					,					delta=1E-2						)


							def _a (							self						):
											a__			 =						self.get_feature_extractor()
											a__			 =						self.get_tokenizer()

											a__			 =						SpeechTaProcessor(tokenizer=a_					,					feature_extractor=a_						)

											a__			 =						"""This is a test string"""

											a__			 =						processor(text=a_						)
											a__			 =						tokenizer(a_						)

											for key in encoded_tok.keys():
															self.assertListEqual(encoded_tok[key]					,					encoded_processor[key]						)


							def _a (							self						):
											a__			 =						self.get_feature_extractor()
											a__			 =						self.get_tokenizer()

											a__			 =						SpeechTaProcessor(tokenizer=a_					,					feature_extractor=a_						)

											a__			 =						"""This is a test string"""

											a__			 =						processor(text_target=a_						)
											a__			 =						tokenizer(a_						)

											for key in encoded_tok.keys():
															self.assertListEqual(encoded_tok[key]					,					encoded_processor[key]						)


							def _a (							self						):
											a__			 =						self.get_feature_extractor()
											a__			 =						self.get_tokenizer()

											a__			 =						SpeechTaProcessor(tokenizer=a_					,					feature_extractor=a_						)

											a__			 =						[[1, 4, 5, 8, 1, 0, 8], [3, 4, 3, 1, 1, 8, 9]]

											a__			 =						processor.batch_decode(a_						)
											a__			 =						tokenizer.batch_decode(a_						)

											self.assertListEqual(a_					,					a_						)







							def _a (							self						):
											a__			 =						self.get_feature_extractor()
											a__			 =						self.get_tokenizer()

											a__			 =						SpeechTaProcessor(tokenizer=a_					,					feature_extractor=a_						)

											self.assertListEqual(
											    processor.model_input_names					,					feature_extractor.model_input_names					,					msg="""`processor` and `feature_extractor` model input names do not match"""					,					)

