This contains in-depth mathematical analysis of the damage dealing system and functions, and breaks down the steps of the damage dealing process
The damage is calculated in several phases, all of them are going to be explained below,
but before we do so, let's start with some definitions
Rolling phase is such a phase, where attack rating is determined for the attacker,
and defence rating be determined for the defender.
Attacker has some set of attack stats, from which the relevant attack stat is chosen which respect to the attack style(magic / melee / blood / fire / ice / slash / stab etc.)
Let such a chosen number be \(Aa = 5\)
The same process is done for the defender, where defence stat \(Dd\) is chosen, with respect to the attacker's attack style Let \(Aa = 8\)
Then, we calculate roll for both participants.
Here is an example to support the theory above.
Let's imagine, that attacker is using ice barrage spell to attack. Because of that, we choose attack - ice stat as \(Aa\). Let
\(Aa = 12\)
For defender, we choose defence - ice stat as \(Dd\). Let
\(Dd = -3\)
We calculate \(r_a = rand(0, 12) = 3\)
\(r_d = rand(-3, 0) = -1\)
Because \(r_a \gt r_d\), damage will be dealt, and system proceeds to the other phase
Damage calculation phase is such a phase, which takes place after
roll phase, if attacker was successfull in a roll.
Here, final damage \(d\) is calculated.
This phase takes previously calculated \(r_a\) and \(r_d\) as an additional input.
Damage modification phase, takes place always after
damage calculation phase.
Input - output specification
Input: the damage \(d\)
Output: the damage \(d1\), which can be whatever
This phase takes in consideration all attacker's
activated prayers, and also, all defender's
This sorely depends on how the prayers are defined, but for example, melee / magic protection prayer can nullyfy the damage, if the attack style matches
After effect phase is the last phase, and takes place after damage all modifier phases
were completed (and if any damage was dealt at all.)
It is responsible for buff / debuff modifiers, such as poison / freeze / teleblock