Updated as of v3.1.1
The calculations and resulting charts factor in attack speed, damage, physical armor, and magic armor. All graphs and comparisons are also normalized by gold cost. It does not include incidentals such as synergy with lifesteal, splash, ally attacks and spells, occupation of attack modifier, other proc items, or ease of buildup.
The Acronyms and Variables:
TC = additional damage per second from Thunderclaw
CH = additional damage per second from Charged Hammer
RS = additional damage per second from Riftshards
SB = additional damage per second from Shieldbreaker
SM = additional damage per second from Savage Mace
HB = additional damage per second from Harkon's Blade
TCv = value of TC = TC/2900
CHv = value of CH = CH/5400
RSv = value of RS = RS/5400
SBv = value of SB = SB/4600
SMv = value of SM = SM/5400
HBv = value of HB = HB/4775
D = Damage BEFORE purchasing any of the items or components
Ap = Physical Armor of the target you are attacking
Am = Magic Armor of the target you are attacking
S = Attack speed bonus BEFORE purchasing any of the items or components
(includes everything... so if you have 80 agility and +30 attack speed worth of items, S = 110)
P = Damage Factor from Physical Armor = 1/(1+.06Ap)
M = Damage Factor from Magic Armor = 1/(1+.06Am)
Q = Damage Factor from Physical Armor after Shieldbreaker debuff = 1/(1+.06(Ap-6)), Ap > 6
General Formula = [(D*P + itemdamage*P + magicproc*M + physicalproc*P)*(100+S+attackspeed)-D*P*(100+S)]/itemcost
TCv = (2760P+3450M+24PS+30MS+15PD)/2900
CHv = (5100P+6800M+30PS+40MS+70PD)/5400
RSv = (10240P+28PD+102.4PS+0.28PDS)/5400
SBv = (100QD+7000Q+QSD+70QS-100PD-PDS)/4600
SMv = (12300P+123PS)/5400
HBv = (110MD+MDS+2970M+27MS-100PD-PDS)/4775 (for Agi/Str heroes)
HBv = (110MD+MDS+6820M+62MS-100PD-PDS)/4775 (for Int heroes)
For any two items*, equate the value equations and solve for S in terms of D, Ap, and Am.
*For Harkon's solve for Ap in terms of D, S, and Am
The result is the line where both items have equivalent DPS per gold.
Most graphs have multiple lines with each line representing fixed values for the remaining variables.
Thunderclaw vs Charged Hammer
Charged Hammer vs Shieldbreaker
Charged Hammer vs Riftshards
Charged Hammer vs Savage Mace
Shieldbreaker vs Savage Mace
Riftshards vs Savage Mace
Riftshards vs Shieldbreaker
Harkon's Blade vs Charged Hammer
Harkon's Blade vs Savage Mace
Explanation of 2-Dimensional Graphing Involving Three or More Variables:
+ Positive Side Effects
- Charged Hammer has an activatable that punishes attackers
- Charged Hammer also hits nearby enemies with lightning
- Charged Hammer has a guaranteed proc on first attack between fights
- Riftshards can lifesteal from critical strikes
- Riftshards critical strikes apply to splash attacks
- Shieldbreaker lowers enemy armor such that allied attacks and physical spells also benefit
- Shieldbreaker and Riftshards have easier build up
- Savage Mace removes all chances to miss
- Savage Mace interrupts enemy attacks and stops channeling abilities
- Harkon's Blade lowers enemy magic armor such that allied spells also benefit
- Negative Side Effects
- Charged Hammer loses effectiveness against Magic Immunity
- Shieldbreaker occupies an attack modifier which may be needed for slow or lifesteal
- Harkon's Blade occupies an attack modifier which may be needed for slow or lifesteal
- Harkon's Blade requires mana to use
Notwithstanding reality, when it comes to pure DPS per gold cost for most Damage and Attack Speeds...
Harkon's Blade (int) > Charged Hammer > Riftshards > Harkon's Blade (agi/str) > Shieldbreaker > Savage Mace
Screw math. Do what feels right.
Last edited by MacroHard; 05-23-2013 at 04:10 PM.
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