Hrimsorrow + Hatred (Conversion + added damage based on physical damage)

First: I searched for this, but sources don't seem clear. So here is the simplest example.

What damage can be expected from a player, who wields a 100 damage weapon and has Hrimsorrow Gloves and Hatred (20% of physical damage added as cold damage)?
Is 25% of the physical damage first converted to cold damage, then hatred is applied to the remaining 75 physical damage?
=> 25 cold from conversion + 75 phys. + 15 added cold

or is it the other way round?
=> 20 added cold + 25 cold from conversion + 75 phys.


edit: I found someone who claims to know it:
http://www.reddit.com/r/pathofexile/comments/1b7pws/ek_damage_conversion/c94eew4
"
You are dealing 100 physical damage, hatred give 20% bonus to a total of 100 physical and 20 cold.
Now equip Hrimsorrow, 20% bonus from hatred give you 25 cold, 25% conversion from the glove give you 25 cold. At the last step, 25% physical = 25 physical is taken away. Total is 75 physical, 45 cold.

I emphasized the part that seems to be wrong, though.
Last edited by CadEx#6497 on Apr 30, 2013, 3:24:53 PM
"I emphasized the part that seems to be wrong, though."
Fairly obviously a typo; he sums it up as 45 Cold, which is the correct value.


A practical example with fictional numbers:
20% of Physical added as Cold
25% Converted to Cold
75% Increased Physical
50% Increased Cold
50% More Physical damage

100 Base Physical damage
50 Base Cold damage


Damage-based-On is checked first:
100 * 0.20 = 20 Cold damage
Conversion:
100 - (100 * 0.25) = 75 Physical Damage
100 * 0.25 = 25 Cold damage

We now deal 75 Physical, 20 Cold (based on Physical), 25 Cold (converted from Physical), and 50 Cold damage.

Increased is applied:
75 * (1 + (75/100)) = 131.25 Physical damage
Based-on and Converted damage benefits from the source damage bonuses as well.
20 * (1 + (50/100) + (75/100)) = 45 Cold damage
25 * (1 + (50/100) + (75/100)) = 56.25 Cold damage
50 * (1 + (50/100)) = 75 Cold damage

More and Less are applied:
131.25 * (1 + (50/100)) = 196.875 Physical damage, rounds to 197
45 * (1 + (50/100)) = 67.5 Cold damage, rounds to 68
56.25 * (1 + (50/100)) = 84.375 Cold damage, rounds to 84
No multiplicatives for the flat Cold damage.

Final damage numbers can be added together:
197 Physical damage, (68+84+75=) 227 Cold damage
Thanks, that's comprehensive.

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