[Q] Rounding Decimals [ANSWERED]

[fiernaq]

ANSWER:

So it appears the answer is to multiply, then round each down, then add (i.e. worst possible case ).

Rounded DOWN individually gives: (6 + 1) + (8 + 2) + (2 + 0) + (11 + 3) = 33% BC

First question: Are decimals in AT rounded UP, DOWN, or to the CLOSEST integer? Are all decimals handled the same way or are some handled one way and others another way?

Take a piece of light armor that has 11% BC on it. If you pick up Light Armor Proficiency (1), 30% of 11 is 3.3 so do you now have 15% BC (11% + 3.3% rounded up), 14% BC (11% + 3.3% rounded to closest integer), or 14% BC (11% + 3.3% rounded down)?

Second question: Does rounding occur before or after the addition of similar numbers?

Most armor proficiency skills in particular claim to affect every piece of armor in that category. For example, I'm wearing 3 pieces of light armor, a pair of leather gloves which I presume are light, a shield which claims "light" but I don't think qualifies as armor, and a trinket which seems fairly light but is also probably not considered armor. Those 4 pieces of definite armor have 6% BC, 8% BC, 2% BC, and 11% BC on them. The wording on the light armor proficiency skill would seem to indicate 30% increase on each individual item meaning that any rounding is done before the addition. Is that correct or does it simply give you a 30% increase on the total BC provided by any light armor you have on and then round that figure?

30% of 6 = 1.8
30% of 8 = 2.4
30% of 2 = 0.6
30% of 11 = 3.3

30% of total BC (27) provided by the 4 qualifying items = 8.1

Rounded UP individually gives: (6 + 2) + (8 + 3) + (2 + 1) + (11 + 4) = 37% BC
Rounded UP total gives: (6 + 8 + 2 + 11) + (9) = 36% BC
Rounded CLOSEST individually gives: (6 + 2) + (8 + 2) + (2 + 1) + (11 + 3) = 35% BC
Rounded CLOSEST total gives: (6 + 8 + 2 + 11) + (8) = 35% BC
Rounded DOWN individually gives: (6 + 1) + (8 + 2) + (2 + 0) + (11 + 3) = 33% BC
Rounded DOWN total gives: (6 + 8 + 2 + 11) + (8) = 35% BC
Other (Please describe)

Which one is correct?

[Sarumar]

+1 intresting question. I like to hear more about how in AT system calculated things

[Antison]

+1. I too would love to read the answer on this.

[rijackson741]

Another +1 for this question.

When calculating ECC from CS it appears to round down. The document here https://docs.google.com/spreadsheet/ccc ... DJWSUlIY2c shows the number rounded to the nearest integer, but I currently have a CS of 41 and and ECC of 23%, which is rounded down (the exact ECC is 23.64%).

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I just completed the necessary quest, and added the light armor skill. The armor that should be affected is light chain mail (BC 13%), Leather cap (BC 6%), Troublemaker's gloves (BC 4%) and Vacor's boots of attack (BC 2%). My overall BC went from 78% to 83%.

The total for the four pieces, multiplied by 30% is 7.5. Even rounding that down does not give the actual increase.

So multiply first:
13*30%=3.9
6*30%=1.8
2*30%=0.6
4*30%=1.2

If you round each to the nearest and add you get 4+2+1+1=8
If you round each down and add you get 3+1+0+1=5

So it appears the answer is to multiply, then round each down, then add (i.e. worst possible case ).

[fiernaq]

Ugh. Thanks for the info.

[rijackson741]

Also, I added Dagger proficiency, and One-handed sword proficiency. I am wielding DotSP (AC 20%) and a Balanced Steel sword (AC 32%). My overall AC went from 184% to 199%, i.e. an increase of 15%.

20*30%=6
32*30%=9.6

Round each down and then add, you get 15 (although in this case if you add and then round down you also get 15).

It appears that rounding down is the general theme here