On Thu, 18 Nov 1999, Kimes, Dean W. wrote:

>
> Okay here's a challenge for you John(tm). What is the equation to figure
> out whether to use Psalm or Chains assuming 0% resist on the Chains? I
> think I did this at one point but can't find it now and recall it was rather
> complicated but came out to a simple result for log parser plug-ins once you
> solved all the equations. ie at 5hp per hit what average damage per
> hit/hits per second ratio would suggest that Psalm would be more effective
> than Chains.

Psalm vs. Bellow was a straight damage to damage comparison.
Chain doesn't do damage, rather it increases your survival
duration, giving you more time to do damage via other means.

Psalm does dps damage per hit.
You do Dp damage per "round" (excluding Psalm).
You have H hp.

Mob hits N times per "round" (unchained).
Mob does d damage per hit.
Hence mob does Dm = N*d damage per "round" (unchained).
Chain increases time between hits by 30% (i.e. drops Dm by 30%).
Mob has M hp. (H/M is the important figure)

With Psalm, your survival time is (H/Dm) rounds.
With Chain, your survival time is (1.3*H/Dm) rounds.

With Psalm, the mob's survival time is M/(Dp + N*dps) rounds.
With Chain, the mob's survival time is M/Dp rounds.

The better song will have a better ratio of your survival time
to the mob's survival time.

Psalm: (H/Dm) / [M/(Dp+Dps)] = (H/M) * (Dp+N*dps)/Dm
Chain: (1.3*H/Dm) / (M/Dp) = (H/M) * (1.3*Dp)/Dm

Drop the common factors to get:

Dp+N*dps > 1.3*Dp if Psalm is better

Which simplifies to:

N*dps > 0.3*Dp if Psalm is better

N = number of times a mob hits you per "round"
dps = damage of Psalm per hit
Dp = your average damage per "round"
Assuming Chain is never resisted

I haven't double-checked the math in this, as I'm pretty busy
coding.

--
John H. Kim
kim@...