Multiplicative Reduction Transformer

Turns a Stat that collects reductions (0.2 = 20 % less) into the remaining fraction, so stacking reductions multiply instead of adding up — they approach 100 % but never reach it.

value = Π(1 − each temporary add) × (1 − (default + all permanent adds))

• Each Temporary add is its own factor: two temporary +0.2 → 0.8 × 0.8 = 0.64 (36 % reduction). When one expires the value rises again.
• The default and every Permanent add are summed into one factor: two permanent +0.2 → 0.6.
• The two kinds multiply: permanent 0.1 and temporary 0.2 → 0.9 × 0.8 = 0.72.

Ships for Float only (Linker Types › Multiplicative Reduction Transformer › Float).

Using it

1. A Modifier Stat (e.g. DamageReduction) with Contribution Type = Multiplier, default 0 (the default counts as a permanent add, so 0 means no reduction and the transformed value is 1).
2. A Linker Definition on that Stat with this Linker, Injector Stat Key = the Stat itself, and nothing after it in the Injectors list.
3. Grants add positive fractions to it (+0.2). Choose the Apply Type on purpose: Temporary adds multiply, Permanent adds sum.

Then a −10 hit with a 0.2 reduction becomes −8.

warning

Keep each add below 1 and the permanent sum below 1. A factor of 0 or less would make the Multiplier 0 (all damage removed) or negative (damage turns into healing). On a Signed Modifier Stat the Min / Max borders are not enforced.

Example

In Kodes, the Player's DamageReduction (a Modifier Stat) carries LinkerDefinition_TransformDamageReduceToMultiplicative_R3D, whose Injector Stat is DamageReduction itself. Upgrades add to it:

Grants	Transformed value	A −100 hit
none	1	−100
Bronze Skin, Temporary +0.2	0.8	−80
+ another Temporary +0.2	0.8 × 0.8 = 0.64	−64