script Convert Hcube Images xy to Sphere Images xy

You need to convert XY coordinates on the XY coordinates on HCUBE pictures to XY coordinates on Sphere pictures

The forum found the algorithm of Sphere to Krpano ATH/ATV as follows:

import math
x = 1848
y = 1629
face_width = 8192
face_height = 4096
vfov = 360 * face_height/face_width
ath = ((x / face_width)-0.5) * 360
atv = ((y / face_height) - 0.5) * vfov
print(f"Sphere to 360. x:{x},y:{y} vfov:{vfov}, ath:{ath},atv:{atv}")

How can I convert the XY coordinates of HCUBE or Cube into the coordinates of the SPHERE diagram

The XY coordinates obtained in HCUBE want this coordinates to be displayed in Krpano

It is best to have an algorithm for HCUBE XY to Krpano ATH/ATV