[ot][spam][random][crazy][random][crazy]

[Undescribed Horrific Abuse, One Victim & Survivor of Many]

interestingly, it's still off by a constant phase, and i'm not sure why yet
it's also interesting that the way the sinusoids sum its details are
equal to its larger shape. i imagine there's a trigonometric identity
for that.

(Pdb) data = np.random.random(4)
(Pdb) quaddata = np.concatenate([data]*4)
(Pdb) p data
array([0.16894141, 0.65128647, 0.69280144, 0.71307183])
(Pdb) p abs(micro_ift(micro_ft(quaddata, 4), 4, upsample=True))
array([0.16894141, 0.65128647, 0.69280144, 0.71307183, 0.16894141,
       0.65128647, 0.69280144, 0.71307183, 0.16894141, 0.65128647,
       0.69280144, 0.71307183, 0.16894141, 0.65128647, 0.69280144,
       0.71307183])
(Pdb) p abs(micro_ift(micro_ft(quaddata, 4), 4, upsample=True))[::4]
array([0.16894141, 0.16894141, 0.16894141, 0.16894141])