


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowerCAmelCase					 =	{
    '''configuration_musicgen''': [
        '''MUSICGEN_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''MusicgenConfig''',
        '''MusicgenDecoderConfig''',
    ],
    '''processing_musicgen''': ['''MusicgenProcessor'''],
}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	lowerCAmelCase					 =	[
	    '''MUSICGEN_PRETRAINED_MODEL_ARCHIVE_LIST''',
	    '''MusicgenForConditionalGeneration''',
	    '''MusicgenForCausalLM''',
	    '''MusicgenModel''',
	    '''MusicgenPreTrainedModel''',
	]

if TYPE_CHECKING:
	from .configuration_musicgen import (
	    MUSICGEN_PRETRAINED_CONFIG_ARCHIVE_MAP,
	    MusicgenConfig,
	    MusicgenDecoderConfig,
	)
	from .processing_musicgen import MusicgenProcessor

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_musicgen import (
		    MUSICGEN_PRETRAINED_MODEL_ARCHIVE_LIST,
		    MusicgenForCausalLM,
		    MusicgenForConditionalGeneration,
		    MusicgenModel,
		    MusicgenPreTrainedModel,
		)

else:
	import sys

	lowerCAmelCase					 =	_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)










def  _lowerCamelCase(			lowercase__			)		->			str:

		'''simple docstring'''







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

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

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

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

		__lowercase=    len(lowercase__			)

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

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

		__lowercase=    0

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

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

		__lowercase=    0
		__lowercase=    'f(x)='

		while count < x:
				__lowercase=    solution[count].split('E'			)
				if len(lowercase__			) > 1:
						__lowercase=    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, 1_1]]))
	print(points_to_polynomial([[1, -3], [2, -6], [3, -1_1]]))
	print(points_to_polynomial([[1, 5], [2, 2], [3, 9]]))






