rotates an audio file by 90 degrees in the spectrum while being a reversible process with minimal loss (only floating point errors which are like -150 dB but thats literally silence ahaha~)

spectralRotation.py

import numpy as np
import soundfile as sf
from scipy.fftpack import fft, ifft

def rotateSignal(signal,flip):
    if flip:
        signal = signal[::-1]
    
    x = np.concatenate((signal, signal[1:][::-1])) # concatenating the array with a reverse of itself makes it such that the fourier transform doesn't layer over a reversed version of itself in the inverse fft
    rotSig = ifft(x)
    
    # delete the second half of the array cus fft does that thing where it also has a reversed spectrum after the regular one
    rotSig = rotSig[:len(rotSig) // 2 + 1] #cheeky little plus 1 here
    
    # this thing is quite important cus the output is usually really quiet, so this conserves the energy that the input has
    energyRatio = np.sqrt(np.sum(np.abs(signal)**2) / np.sum(np.abs(rotSig)**2))
    rotSig *= energyRatio
    
    return rotSig

def skibidi(input, output,flip=True):
    signal, sampleRate = sf.read(input, dtype='float64')
    
    if signal.ndim == 1: # mono
        rotSig = rotateSignal(signal,flip)
    else: # stereo
        rotSig = np.column_stack((rotateSignal(signal[:, 0],flip), rotateSignal(signal[:, 1],flip)))
    
    sf.write(output, rotSig.astype(np.float64), sampleRate, format='WAV', subtype='FLOAT')
    print(f"saved {output}")
    # this is a 32 bit float wav, meaning that clipping isn't an issue, but DO keep in mind that you probably will get a file that has amplitudes over 0dB

if __name__ == "__main__":
    inputFile = input()
    skibidi(inputFile, 'rotated.wav') # this is a 90 degree clockwise rotation where the beginning will be at nyquist frequency and the end be at 0hz
    skibidi(inputFile, 'swapped.wav',False) # this is a swap of the time and frequency axiis, this time the end of the sound is at nyquist and the beginning is at 0hz
    skibidi('swapped.wav', 'inverted.wav') # this is a vertical flip of the input signal and reversed
    # a 180 degree rotation can be achieved simply by reversing inverted.wav
    # a 270 degree rotation can be achieved simply by reversing swapped.wav
    skibidi('swapped.wav', 'restored.wav',False) # for comparing loss in reconstruction if you want, delete this line if you dont care about that lol
    
    #i make music too so please check that out lolol https://ravarcheon.fanlink.tv/profiles https://linktr.ee/ravarcheon https://www.youtube.com/ravarcheon

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