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Bored. At work. Decided to satisfy a question I had.
While working on a spreadsheet for hitting attack speeds of 3.00 and 2.73 I came across a mathematical curiosity. Several actually.
Chants Will with 6 IAS and 0.20 AS calculated as:
Is that last decimal actually used for the attack speed calculation that appears in the details box....or is the rounded number (1.68) used.
The only way that you can hit an attack speed of 3.00 (this is a rounded number...likely the one that shows up in the details box in game) is if you use the attack speed of the weapon as it shows in the item box (1.68)....and not the "actual" un-rounded number (1.684).
(if you can hit 3.00 exactly, then its possible that you may or may not actually be at the 3.00 breakpoint....depending on rounding. In which case, its behooves you to do the math manually).
Edited by PieHole#1628 on 1/4/2013 12:42 PM PST
You always use the unrounded values.
Our ingame tests showed that the calculated values for breakpoints are accurate to at least 4 decimals.
And I can't imagine any reason why the actual implementation by Blizzard should introduce any kind of rounding to X decimals. Except for displaying purposes (like char sheet), there is absolutely no need to arbitrarily limit the accuracy of the ingame calculations.
The closest to 3.0 in our testing were 2.9913 (below breakpoint) and 3.0030 (above breakpoint).
Don't ask me what combinations of gear were used there. Maybe Shandlar remembers.
I cannot find any combination of (weapon speed)(IAS) which equals 3.0030. Just make up a spreadsheet to help with the math.
The mathematical curiosity is that every combination of (WS)(IAS) which looks like "3.00X" is a number where X (the third digit) is above 5. Thus, when rounded, every single combination of Chants Will and IAS will always round up to 3.01 (as it appears in the details box).
Also, by mathematical curiosity, there is no way for a "2.99X" number to round up to "3.00". X always happens to be below 5. Thus, there is no way to have your 2.99 attack speed rounded up to 3.00 (as shown in the details box), when you are not actually at the breakpoint.
You ought to either be at 2.99 or 3.01. This is true for all 60 combinations of Chants Will attack speeds and IAS (one IAS each to get you just above and below the breakpoint).
(so, there should be nobody with an exact 3.00 attack speed if this is true.)
Edited by PieHole#1628 on 1/4/2013 1:42 PM PST
get one of the white weapons with 1.50 aps exactly or a dagger without IAS and run a bubble for +100% from gear if you really wanna test if 3.00000000 is 40 ticks.
I tested 3.0030 personally in PTR and it was 40 ticks.
Edited by Shandlar#1961 on 1/4/2013 2:07 PM PST
Ah, sorry. Didn't get that from your first post.
I believe 3.003 was with enchantress (Chants 1.4 +10% +0.25, enchantress +0.03, gear +65%)
@Shandlar: I believe 3.0 spot on would be 36 ticks. As per the algorithm it needs to be above 3 to get over the breakpoint
Edited by apo#2677 on 1/4/2013 2:08 PM PST
1.65 * 82% is 3.0030
There are more than one way to get there, but one is:
8 * 9% items = 72%
Time Warp = 10%
Edited by Veda#1190 on 1/4/2013 2:08 PM PST
Ah, yes. I was only looking at IAS Chants.
* Ok, so there's no way to hit 3.00 with an IAS Chant's Will.
* There are two ways to hit 3.00 with Chant's Will OS and be above the breakpoint:
1.82*1.65 and 1.83*1.64
* There are two ways to hit 3.00 with Chants Will OS and actually be below the breakpoint:
1.62*1.85 and 1.84*1.63
I'm pretty sure with my 1.76 aps chants, and 70% from gear got me to 3.0. I replaced my 7% mh ring with a 9% one.
Edit: actually 2.995 if u go to the full 3 places 1.762
Edited by Veda#1190 on 1/4/2013 2:28 PM PST
It IS used for all relevant calculations. As I said, always use unrounded values for any kind of APS calculation.
The only exception to this is the pretty much irrelevant number displayed on your character sheet (which sometimes isn't even rounded properly).
I know that, because for WW breakpoints one of my testing subjects was a white dagger with 17% IAS -> 1.755 APS. And there were several results which wouldn't have been possible if it was 1.75 or 1.76
You can't have 100% ias with a non-ias weapon
(ill admit thats just something i think should be correct, but feel free anyone to call me out if im wrong lol)
Edited by Alesso#1854 on 1/4/2013 5:44 PM PST
Max IAS in every slot plus bubble should be enough. If not pick up a frenzy shrine.
my main cm/ww or sns build is 2.81 and that's with a 1.77 chant wand, i take it i would be in the 2.84 zone if i get a 1.79 wand.
the 2.81 is with a storm crow. i've tried it with an andy and it kicked me up to 3.01. now what does this tells me? i need mempo with cc and an apoc chant force.
so yes, it is very possible. getting those two would be my endgame
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