# sample something made of sinusoids at funny offsets, using a
different approach for testing
def sample_sinusoids_funny(data, fractional_indices):
angle_ratios = fractional_indices / data.shape[-1]
return [
((np.exp(2j * sample_idx * np.pi * np.fft.fftfreq(len(data))))
* np.fft.fft(data)).sum() / len(data) for sample_idx in
fractional_indices]
]first i'll test it in function form, then try to redo the upsampling at half rate
