Damage Conversion - Math Question

I'm not sure about the mechanics here. Let's say I want to use Lightning arrow which converts 50% of physical damage to lightning damage. My bow has 100 physical damage, 50 lightning damage and 50 cold damage. I have the following from passives:

50% Weapon elemental Damage
50% Lightning Damage
50% Elemental Damage
100% Physical Damage with bows

What is affected by what and what will my total damage with lightning arrow be? Seriously the mechanics are so complicated in this game :P

EDIT 2: I made a calculation mistake here; please refer to the posts below for more details about it. I screwed the order of calculations!

Okay that was what I was hoping, thanks for the answer! :)

There's three types of damage modifiers. Added, Converted and More. Added and converted work in conjunction with each other, and more is applied AFTER the previous two. So for instance,
a - Your bow did 100 physical and 10 cold damage.
b - Hatred aura adds 15% of your physical damage as cold damage
c - You use ice arrow (converts 40% of damage as cold damage)
d - you have 50% Weapon Elemental Damage
e - you have 50% Physical Damage in your passive tree
f - you have a unique that gives you 25% more physical damage
g - you have another unique providing 30% more physical damage

Always start your calculation with physical, and calculate how much physical you do.

Doing 100 base damage, and 50% more from passives you do 150 physical damage.
40% of this becomes cold, so now 60 cold + 90 physical.
Also 15% of physical is added as cold from hatred (FROM the original boosted 150), which is 22.5 cold damage more.
Now you're doing 90 physical and 82.5 cold damage.
Your bow also had 10 cold damage on your bow, making it 90 physical and 92.5 cold.
50% more elemental means you now do 90 physical and 138.7 cold damage
Finally, 25% more physical is applied to the remaining physical for 117 physical
And 30% more physical is next applied for 152 physical damage
Final results: 152 physical 138.7 cold damage

Conclusions:
* MORE modifiers are better the more you can stack them but are terrible if they only apply to a portion of the damage
* ADDED and CONVERTED modifiers don't interfere
* Damage that has been of one type CONVERTED to another double dips and is increased by any static ADDED or % increases from before and after being CONVERTED.
* The best weapons either do pure physical or pure elemental damages.
* Elemental damage is mitigated by flat %, and physical damage is more powerful the more you have (due to how armor works, mitigating heavily smaller blows and not mitigating larger blows), so elemental is best done purely elemental, and physical likewise purely physical.
* Its very gear dependent going a pure physical build which does pure elemental damage. Only a few uniques convert physical to elemental damage.
* If you go elemental, anger and wrath (set damage per hit) with fast attack speed works better than anger, and opposingly for physical slow large attacks with bonus elemental from hatred works better.


I hope this isn't confusing, Venator did a good job explaining your example, I'm trying to explain what the three modifiers do (and they always do that, MORE, ADDED and CONVERTED).

"

VenatorPoE wrote:

100 physical is first affected by 100% physical, to make it 200 physical, then half of that is converted through LA, so the result is 100 physical 100 lightning, and now the WED, LD and ED bonuses apply to the 100 lightning, making it 250 lightning.

that's actually not how the conversion works. should be like this:

100 base physical
50% converted to lightning, so:
50 physical 50 lightning

physical:
50 * (1 + 100%) = 100 physical damage

lightning (from conversion):
50 * (1 + 50% + 50% + 50% + 100%) = 175 lightning

these can be added to the flat elemental rolls to obtain the final damage numbers:
100 physical
100 cold
300 lightning

damage conversion is must be performed before increases are taken into account, or "increased physical" and "increased elemental" will end up stacking multiplicatively, which we know is not the case.

Afaik both of these answers are incorrect! Venator I've seen other threads were you use incorrect conversions. :/

When dealing with converted damage, you convert your base phys damage and only then start applying modifiers. However all modifiers that apply to the original damage also apply to the converted damage. So in Epicbo's case:

100 phys dmg with 50% conversion of LA = 50phys - 50light

physical part: 50 * 2 = 100phys
ele part: 50 * 3.5 = 175light


edit: realatomicpanda beat me to it. :)

"

Icecreamcart wrote:

Afaik both of these answers are incorrect! Venator I've seen other threads were you use incorrect conversions. :/

When dealing with converted damage, you convert your base phys damage and only then start applying modifiers. However all modifiers that apply to the original damage also apply to the converted damage. So in Epicbo's case:

100 phys dmg with 50% conversion of LA = 50phys - 50light

physical part: 50 * 2 = 100phys
ele part: 50 * 3.5 = 175light


edit: realatomicpanda beat me to it. :)

Do point me to the other incorrect post(s), please. I want to see what I did wrong and correct myself, as well as learn from my mistakes.

I do also notice that I made a mistake adding up the damage in the previous post. Thanks for pointing that one out! I'm going to add a paragraph in that post which explains that it is wrong. I apologize to the OP for caused confusion.