Hi guys,
Sorry for the continued questions but I'm trying to derive the formulas for monitor distance and viewspeed myself (there will probably be a few more questions yet before I get there!).
I have derived the following formula for matching monitor distance at coefficient m from original FOV theta_1 to new FOV theta_2:
and the following for coefficient 0:
I have checked the results these formulas give me for CS:GO against the sensitivity calculator and they are correct for 4:3 aspect ratio. For example, I obtain the following zoom sensitivity ratios for the first awp zoom for 0% and 50%:
0%=0.818933...
50%=0.873581...
However, as soon as I recalculate for 16:9 I get incorrect results, even when I adjust my FOVs for 16:9:
0%=0.737720..., correct is 0.818933...
50%=0.823462..., correct is 0.910887...
75%=0.907653..., correct is 1
Can anyway tell me what is wrong with my formulas and how I should modify them so that they work for all aspect ratios? If more details of my derivation are needed I can always provide.
Thanks a lot for the help!