2009-12-14, 09:33 PM
That also disregards criticals, multiple damage formulas (grr BW), varying multipliers (aran/crusaders) etc.
When you stretch the uniform distribution with scale multipliers it all gets significantly more complicated.
Like for a 50% critical that deals double damage,
.5*(H(x - 1) - H(x - 2)) + .5*.5*(H(x - 2) - H(x - 4))
= .5 H(x-1) - .25H(x-2) - .25H(x-4)
![[Image: crithx.png]](http://img152.imageshack.us/img152/8413/crithx.png)
If the min crit wasn't exactly equal to the max non-crit this would look uglier even.
When you stretch the uniform distribution with scale multipliers it all gets significantly more complicated.
Like for a 50% critical that deals double damage,
.5*(H(x - 1) - H(x - 2)) + .5*.5*(H(x - 2) - H(x - 4))
= .5 H(x-1) - .25H(x-2) - .25H(x-4)
If the min crit wasn't exactly equal to the max non-crit this would look uglier even.