





'''simple docstring'''







import doctest
from collections import deque

import numpy as np
class 			_lowercase						:







     def __init__( self    ) ->	None:
      snake_case				=			[2, 1, 2, -1]
      snake_case				=			[1, 2, 3, 4]







     def     UpperCamelCase			( self    ) ->	list[float]:
      snake_case				=			len(self.first_signal    )
      snake_case				=			len(self.second_signal    )

      snake_case				=			max(A__    ,   A__    )

      # create a zero matrix of max_length x max_length
      snake_case				=			[[0] * max_length for i in range(A__    )]

      # fills the smaller signal with zeros to make both signals of same length
      if length_first_signal < length_second_signal:
       self.first_signal += [0] * (max_length - length_first_signal)
      elif length_first_signal > length_second_signal:
       self.second_signal += [0] * (max_length - length_second_signal)
      for i in range(A__    ):
       snake_case				=			deque(self.second_signal    )
       rotated_signal.rotate(A__    )
       for j, item in enumerate(A__    ):
        matrix[i][j] += item

        # multiply the matrix with the first signal
      snake_case				=			np.matmul(np.transpose(A__    )    ,   np.transpose(self.first_signal    )    )

      # rounding-off to two decimal places
      return [round(A__    ,   2    ) for i in final_signal]


if __name__ == "__main__":
   doctest.testmod()








'''simple docstring'''







_lowercase       						=			{
    'Pillow': 'Pillow',
    'accelerate': 'accelerate>=0.11.0',
    'compel': 'compel==0.1.8',
    'black': 'black~=23.1',
    'datasets': 'datasets',
    'filelock': 'filelock',
    'flax': 'flax>=0.4.1',
    'hf-doc-builder': 'hf-doc-builder>=0.3.0',
    'huggingface-hub': 'huggingface-hub>=0.13.2',
    'requests-mock': 'requests-mock==1.10.0',
    'importlib_metadata': 'importlib_metadata',
    'invisible-watermark': 'invisible-watermark',
    'isort': 'isort>=5.5.4',
    'jax': 'jax>=0.2.8,!=0.3.2',
    'jaxlib': 'jaxlib>=0.1.65',
    'Jinja2': 'Jinja2',
    'k-diffusion': 'k-diffusion>=0.0.12',
    'torchsde': 'torchsde',
    'note_seq': 'note_seq',
    'librosa': 'librosa',
    'numpy': 'numpy',
    'omegaconf': 'omegaconf',
    'parameterized': 'parameterized',
    'protobuf': 'protobuf>=3.20.3,<4',
    'pytest': 'pytest',
    'pytest-timeout': 'pytest-timeout',
    'pytest-xdist': 'pytest-xdist',
    'ruff': 'ruff>=0.0.241',
    'safetensors': 'safetensors',
    'sentencepiece': 'sentencepiece>=0.1.91,!=0.1.92',
    'scipy': 'scipy',
    'onnx': 'onnx',
    'regex': 'regex!=2019.12.17',
    'requests': 'requests',
    'tensorboard': 'tensorboard',
    'torch': 'torch>=1.4',
    'torchvision': 'torchvision',
    'transformers': 'transformers>=4.25.1',
    'urllib3': 'urllib3<=2.0.0',
}

