Linear Math... |
I am going to attempt to post two examples of the math I have used in my personal mod to do weapon damage with. If this posts successfully (it errored out last time) feel free to use this information however you want.
WARNING: What follows is math. If math angers/frustrates you, then this will probably piss you off.
This is the math for a weapon to reduce damage according to linear dropoff.
Definitions:
f(m) is damage modifier from levels.
f(p) is percentage of m which applies, as expressed by a number from 0.00 (for 0%) to 1.00 (for 100%).
f(r) is the percentage of the range of the weapon as it relates to its maximum possible range, as expressed by a number from 0.00 (for 0%)
to 1.00 (for 100%). Example: If the max range is 60, then 30 is 50% of 60 (or one half), so r = 0.5.
f(m) = damage by level * (p)
f(p) = 1 - (a * r)
f(r) = range formula
Notes:
a is the ammount of damage lost. a = 0.4 = 40% damage damage lost.
Script function definitions:
Power is the formula command for exponents. Power (A, B) means A to the power of B. Squareing something would be Power (A, 2).
Cubing would be Power (A, 3). Another text notation for this would be A^B.
iif is an if - then - else command. iif(A, B, C) = if A is true, do B, otherwise do C.
Min is take the minimum of two values. Min(A, B) = take the minimum of A or B, whichever is lower.
So, iif([%Range%] Min(90, (([%Level%] - 1) * 10) + 30), 10000, 0)
(23 + (([%Level%] - 1) * 5)) - (([%Range%] / 10) * 1.67) - iif([%Range%] > Min(90, (([%Level%] - 1) * 10) + 30), 10000, 0)
Simplified formulas:
iif([%Range%] <= Min(90, (([%Level%] - 1) * 10) + 30), (20 + (([%Level%] - 1) * 15)) - (([%Range%] / 10) * 1.67), 0)
iif([%Range%] <= Min(90, (([%Level%] - 1) * 10) + 30), (23 + (([%Level%] - 1) * 15)) - (([%Range%] / 10) * 1.67), 0)
Work:
iif([%Range%] <= Min(100, (([%Level%] - 1) * 10) + 30), (20 + (m)) , 0)
f(m) = (([%Level%] - 1) * 15) * (p)
f(p) = 1 - (0.5 * (r))
f(r) = [%Range%] / Min(100, (([%Level%] - 1) * 10) + 30)
Result:
iif([%Range%] <= Min(100, (([%Level%] - 1) * 10) + 30), (20 + ((([%Level%] - 1) * 15) * (1 - (0.5 * ([%Range%] / Min(100, (([%Level%] - 1) * 10) + 30)))))) , 0)
iif([%Range%] <= Min(100, (([%Level%] - 1) * 10) + 30), (23 + ((([%Level%] - 1) * 15) * (1 - (0.5 * ([%Range%] / Min(100, (([%Level%] - 1) * 10) + 30)))))) , 0)
This allows for a more organic and consistant damage dropoff accross all levels, but requires additional testing.
Problems
You may be having issues with the < and > signs. Either use "escape HTML" format under Input Format, or replace all such symbols with &l t; and &g t; (remove the spaces to make them format correctly into < and >)
_______________________
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Those that understand binary, and those that don't.
Got it working
I got it working. I can make the post, and then edit the subject. When editing the subject, I can put in the text I want and it seems to take it.
The whole text is too long to post at one go, even using the break command, so I had to split it up between two subjects. This one covers linear decay, the other one covers an exponential decay curve.
Perhaps this would be better
Perhaps this would be better illustrated with a few graphs. Mind explaining what this formula does in simpler terms? It's difficult to make out what the formula does, given all of the parenthesis.
breakdown
Math Error?
You meant -100 - 5 + 5 + 100, Right? If not, then that's probably your error. You start at 100, Subtract 5 for 95, plus 5 for 100 again, then add another 100 and it defenatly doesn't equal zero 
linear pt 1
deleted