Mana Reservation Rounding Question [pics]

So I have a lv21 Reduced Mana, which is .70 instead of .71 (lv20)


linked to hatred, and


4% from skill tree.


Now, if my reduced mana gem is lv20, I can understand why it would be 41% reserved -> (.71 - .04) x 60 = 40.2 = 41
HOWEVER, I'm confused why it's the same with a lv21?? (.70 - .04) x 60 = 39.6 = 40

Shouldn't it be 40% instead of 41%? Is that extra 1% gained from lv21 gem not working properly?
My summoner guide: https://www.pathofexile.com/forum/view-thread/1765329
My shop thread: https://www.pathofexile.com/forum/view-thread/1748967
The Reduced Mana support gem is multiplicative with your reduced mana reservation from passives/gear. The correct calculation is 60% * 0.70 * (1 - 0.04) = 40.32% = 41%.
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Last edited by viperesque#7817 on Apr 28, 2015, 9:30:31 PM
Wish that mana % reserved would be in format of XX.X% instead of XX% :-< Would make leveling up the reduced mana gem a little bit more "impactful" at higher levels.
Real knowledge is to know the extent of one's ignorance.
Ignorance more frequently begets confidence than does knowledge.
"
viperesque wrote:
The Reduced Mana support gem is multiplicative with your reduced mana reservation from passives/gear. The correct calculation is 60% * 0.70 * (1 - 0.04) = 40.32% = 41%.

Nope! Supports are entirely separate from regular modifiers, they change the base value directly.

Level 20 RM:
60 * 0.71 = 42.6, rounds to 42%
Level 21 RM:
60 * 0.70 = 42% base Reserved

Level 21 RMs are a scam, unless you BM it or link it to Clarity.

42 * 0.04 = 1.68, rounds to 1
42 - 1 = 41% Reserved.
Last edited by Vipermagi#0984 on Apr 29, 2015, 2:40:10 AM
Actually value is rounded after each step

60% * 0.96 = 57.6% -> 58% reduction from reduced mana reservation nodes
58% * 0.7 = 40.6% -> 41% after reduced mana gem
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"
Vipermagi wrote:

Nope! Supports are entirely separate from regular modifiers, they change the base value directly.

Level 20 RM:
60 * 0.71 = 42.6, rounds to 42%
Level 21 RM:
60 * 0.70 = 42% base Reserved

Level 21 RMs are a scam, unless you BM it or link it to Clarity.

42 * 0.04 = 1.68, rounds to 1
42 - 1 = 41% Reserved.


this one is correct.
Delete on death.
"
Vipermagi wrote:
"
viperesque wrote:
The Reduced Mana support gem is multiplicative with your reduced mana reservation from passives/gear. The correct calculation is 60% * 0.70 * (1 - 0.04) = 40.32% = 41%.

Nope! Supports are entirely separate from regular modifiers, they change the base value directly.

Level 20 RM:
60 * 0.71 = 42.6, rounds to 42%
Level 21 RM:
60 * 0.70 = 42% base Reserved

Level 21 RMs are a scam, unless you BM it or link it to Clarity.

42 * 0.04 = 1.68, rounds to 1
42 - 1 = 41% Reserved.


Ok wait, let me get this straight. How come a lv20 RM 60 * 0.71 = 42.6 rounds DOWN to 42%?? So the statement that aura calculations all round up is wrong then? So what's the reasoning from GGG's standpoint to round DOWN when establishing the base (aka when using RM gem) but round UP (no matter if it's something like 40.1%) when calculating skill tree effects?

LOL....this means....for ANY auras (60%, 40%, 30%, 25%), the difference between a lv20 RM (0.71) and a lv21 RM (0.70) is absolutely useless??
My summoner guide: https://www.pathofexile.com/forum/view-thread/1765329
My shop thread: https://www.pathofexile.com/forum/view-thread/1748967
Last edited by Kaz2ndChance#7554 on May 4, 2015, 11:39:41 AM
"
Kaz2ndChance wrote:
Ok wait, let me get this straight. How come a lv20 RM 60 * 0.71 = 42.6 rounds DOWN to 42%?? So the statement that aura calculations all round up is wrong then?

Yes, that is indeed bullshit.
Path of Exile always 'rounds down' on stat values. Integer division - everything behind the comma is simply ignored altogether.

"
Kaz2ndChance wrote:
So what's the reasoning from GGG's standpoint to round DOWN when establishing the base (aka when using RM gem) but round UP (no matter if it's something like 40.1%) when calculating skill tree effects?

The game does not round up at all. As I described in my post, your total reduction is calculated, and it rounds as per usual (read: down).


I know of only one exception to the 'rounding' rule. I'm just gonna quote Mark's PM on that, from a conversation back when Mortal Conviction was 40% Less Reserved:
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Mark_GGG wrote:
[...]as I point out above, Mortal Conviction is part of the same calculation as other modifiers to reservation, it's just multiplicative with them. The correct calculation is
Total % reduction to reservation = (100 + -46) * (100 + -40) / 100 - 100 = -68
I.E. A 46% reduced and a 40% less modifier combine to a total of a 68% reduced modifier.
This is the bit I brushed over, it has to calculate the total % reduction of reservation first. Because this total is a stat, and thus must be an integer, it's rounded, but this is specifically rounded to the nearest integer, so 67.6 rounds to 68.


(also shows how to factor in Mortal Conviction, which might be fun to know about :) )
Last edited by Vipermagi#0984 on May 4, 2015, 12:12:55 PM
So, an aura + RM gem = 60% x .71 = 42.6% rounded down (ignoring # behind decimal point) = 42% --> this is in our favor.

But then, a "4% reduced mana reserved" node is NOT calculated like so: 60% x 0.96 = 57.6% (similar to how an RM gem would be calculated). INSTEAD, it is calculated like so: 60% x 0.04 = 2.4%. And therein lies the confusion. We know that 60% will become 58% with this node. Therefore, while it may seem as if the former calculation rounds UP, in actuality PoE uses the latter calculation, which rounds DOWN still, which is against our favor.

I suppose they balance it that way? RM gem roundings are in our favor and skill tree roundings are against our favor? However, it still does not solve the pointlessness of a lv21 RM gem (having that extra 1%) because 1% is not enough of a change for any auras if PoE simply rounds down to the nearest whole #. UNLESS, you can somehow get a lv22 RM gem. Then it'd be 60% x 0.69 = 41.4 = 41%
My summoner guide: https://www.pathofexile.com/forum/view-thread/1765329
My shop thread: https://www.pathofexile.com/forum/view-thread/1748967
Last edited by Kaz2ndChance#7554 on May 4, 2015, 2:38:06 PM
^^
is the Reduced Mana gem work for auras only?
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