Module collection_power

Collection Power: the passive stat bonus paid for OWNING catalog content.

Six catalogs pay: equipment Trigger/Effect stones, laws, artifact stones, ability stones, gacha abilities and pets. Each owned template contributes

b = k_family × weight × u,   u = first_share + (1 − first_share) × (L−1)/(Lmax−1)

and the sum of every b becomes ONE multiplier on Attack / HP / Armor. The first copy opens a fixed share of a template’s contribution and its rank ladder pays the rest, so breadth is worth something immediately while depth is worth most of it.

Three rules that are design, not implementation detail:

• it reads the COLLECTION, not the loadout — equipping, unslotting or swapping a preset changes nothing here. Only a grant, a rank-up or a feature gate opening does;
• a family pays nothing before its own vertical opens. Ownership carried in from a migration or a legacy grant waits for the gate like everything else, which is why every family below reads the gate it already has rather than a second chapter number authored here. The gate is the chapter the family’s SCREEN opens, never the chapter its first socket does — a stone with nowhere to put it yet is exactly the collection this system exists to pay for;
• artifacts are absent on purpose. They already pay ArtifactTemplate::ownership_bonuses, and a universal bonus on top would count the same collection twice.

Returned as ("<code>.mod", permyriad) pairs, the same channel artifact ownership uses, so combat (fight::get_entity_stat), the honest power scalar (balance::get_attr_from_attrs) and therefore PvE gating and PvP matchmaking all see one number.

Functions

collection_bonus

B_collection — the summed contribution of the whole collection, as a fraction (0.08 is the +8% the current catalog is budgeted for).

collection_stat_mods

The total collection bonus as ("<code>.mod", permyriad) pairs.