"""
 This example shows how to create delay and sum beamformers
 """
+
 from __future__ import division, print_function
 
 import matplotlib.pyplot as plt
 import numpy as np
 

 Adaptive Filters Example
 ========================
 
 In this example, we will run adaptive filters for system identification.
 """
+
 from __future__ import division, print_function
 
 import matplotlib.pyplot as plt
 import numpy as np
 from scipy.signal import fftconvolve

 ======================================
 
 In this example, we will run adaptive filters for system 
 identification, but in the frequeny domain.
 """
+
 from __future__ import division, print_function
 
 import matplotlib.pyplot as plt
 import numpy as np
 from scipy.signal import fftconvolve

 """
 Example of the basic operations with ``pyroomacoustics.datasets.Dataset``
 and ``pyroomacoustics.datasets.Sample`` classes
 """
+
 from pyroomacoustics.datasets import Dataset, Sample
 
 # Prepare a few artificial samples
 samples = [
     {

 one source and two microphones in the room and compute the room impulse
 responses.
 
 The simulation is done using the hybrid ISM/RT simulator.
 """
+
 from __future__ import print_function
 
 import time
 
 import matplotlib.pyplot as plt

 """
 This example program demonstrates the use of ray tracing
 for the simulation of rooms of different sizes.
 """
+
 from __future__ import print_function
 
 import argparse
 import sys
 import time

 This examples demonstrates how to build a 3D room for multi-band simulation
 with rich wall materials.
 
 2022 (c) @noahdeetzers, @fakufaku
 """
+
 import matplotlib.pyplot as plt
 import numpy as np
 
 import pyroomacoustics as pra
 

 5. Save the separated sources as .wav files
 6. Show a GUI where a mixed signals and the separated sources can be played
 
 This script requires the `mir_eval` to run, and `tkinter` and `sounddevice` packages for the GUI option.
 """
+
 import time
 
 import numpy as np
 from mir_eval.separation import bss_eval_sources
 from scipy.io import wavfile

 This example creates a room with reverberation time specified by inverting Sabine's formula.
 This results in a reverberation time slightly longer than desired.
 The simulation is pure image source method.
 The audio sample with the reverb added is saved back to `examples/samples/guitar_16k_reverb.wav`.
 """
+
 import argparse
 
 import matplotlib.pyplot as plt
 import numpy as np
 from scipy.io import wavfile

 Currently, the materials need to be set in the program which is not very practical
 when different walls have different materials.
 
 The STL file was kindly provided by Diego Di Carlo (@Chutlhu).
 """
+
 import argparse
 import os
 from pathlib import Path
 
 import matplotlib.pyplot as plt

 =========================
 
 Implementations of adaptive filters from the LMS class. These algorithms have a
 low complexity and reliable behavior with a somewhat slower convergence.
 """
+
 from __future__ import absolute_import, division, print_function
 
 import numpy as np
 import scipy.linalg as la
 

 We can also use the objects separately.
 
 ~ Prerak SRIVASTAVA, 8/11/2022
 """
 
-
 import os
 
 import matplotlib.pyplot as plt
 import numpy as np
 from scipy import signal

 
 import numpy as np
 
 
 class SubbandLMS:
-
     """
     Frequency domain implementation of LMS. Adaptive filter for each
     subband.
 
     Parameters

 
         lambda_NFT = W_NFK @ H_NKT + eps
         Y_FTM = np.einsum("nft, nfm -> ftm", lambda_NFT, G_NFM)
 
         # update G_NFM (diagonal element of spatial covariance matrices)
-        numerator = np.einsum(
-            "nft, ftm -> nfm", lambda_NFT, Qx_power_FTM / (Y_FTM**2)
-        )
+        numerator = np.einsum("nft, ftm -> nfm", lambda_NFT, Qx_power_FTM / (Y_FTM**2))
         denominator = np.einsum("nft, ftm -> nfm", lambda_NFT, 1 / Y_FTM) + eps
         G_NFM *= np.sqrt(numerator / denominator)
         Y_FTM = np.einsum("nft, nfm -> ftm", lambda_NFT, G_NFM)
 
         # udpate Q (matrix for joint diagonalization)

 """
 Example of the basic operations with ``pyroomacoustics.datasets.Dataset``
 and ``pyroomacoustics.datasets.Sample`` classes
 """
+
 from pyroomacoustics.datasets import Dataset, Sample
 
 
 def test_dataset():
     # Prepare a few artificial samples

 
 Price: Free
 
 URL: http://www.festvox.org/cmu_arctic/
 """
+
 import os
 
 import numpy as np
 from scipy.io import wavfile
 

 """
 Routines to perform grid search on the sphere
 """
+
 from __future__ import absolute_import, division, print_function
 
 from abc import ABCMeta, abstractmethod
 
 import numpy as np

 """
 A collection of functions to plot maps and points on circles and spheres.
 """
+
 import numpy as np
 
 
 def polar_plt_dirac(
     self,

 """
 This module contains useful functions to compute distances and errors on on
 circles and spheres.
 """
+
 from __future__ import division
 
 import collections
 
 import numpy as np

 """
 A few test signals like sweeps and stuff.
 """
+
 from __future__ import division, print_function
 
 import numpy as np
 
 

 # =========================================================================
 import copy
 
 
 class MicrophoneArray(object):
-
     """Microphone array class."""
 
     def __init__(self, R, fs, directivity=None):
         R = np.array(R)
         self.dim = R.shape[0]  # are we in 2D or in 3D

 """
 This tests the construction of a bank of octave filters
 """
+
 import numpy as np
 from scipy.signal import sosfreqz
 
 import pyroomacoustics as pra
 

 Room.image_source_model() 25000 times.
 
 If the C module is not installed (pure python
 fallback version), then nothing is done.
 """
+
 import numpy as np
 
 import pyroomacoustics
 
 

 
         return ax
 
 
 class SOFADirectivityFactory:
-
     """
     This class reads measured directivities from a
     `SOFA <https://www.sofaconventions.org>`_ format file.
     Optionally, it can perform interpolation of the impulse responses onto a finer grid.
     The interpolation is done in the spherical harmonics domain.

 
 @author: od0014
 
 Script to test removal of sweeping echoes with randomized image method
 """
+
 import pyroomacoustics as pra
 from pyroomacoustics import metrics as met
 
 # create an example with sweeping echo - from Enzo's paper
 room_size = [4, 4, 4]