Calculate 7.1 Speaker Positions

Positions of the speakers?

Where do the speakers have to be positioned in a 7.1 surround system?

There are many ...

… graphics with angle information for setting up speaker systems, which the manufacturers of receivers provide in the operating instructions. However, they do not provide the calculation for a defined room, screen, seating positions, and platform. Calculating the theoretically optimal AND possible positions for a 7.1 surround system for the specific room is one of the most complex tasks in planning a home theater.
 
Unit of measurement:
Decimal separator:
Room length (mm):
Valid range: 4000 - 12000 mm
Room width (mm):
Valid range: 3000 - 12000 mm
Room height (mm):
Valid range: 2000 - 5000 mm
Seating distance to the wall (mm):
Seating distance to the front wall.
Valid range: 2000 - 12000 mm
Seating distance to front speakers (mm):
Seating distance to front speakers.
Valid range: 2000 - 12000 mm
Screen width (visible) (mm):
Valid range: 2000 - 8000 mm
Note