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:<math>a = \dfrac {3 \times HP_{max} - 2 \times HP_{current}}{3 \times HP_{max}} \times rate \times bonus_{ball} \times bonus_{status}</math> | :<math>a = \dfrac {3 \times HP_{max} - 2 \times HP_{current}}{3 \times HP_{max}} \times rate \times bonus_{ball} \times bonus_{status}</math> | ||
Where | Where | ||
* HP<sub>max</sub> is the number of hit points the Pokémon has at full health | * HP<sub>max</sub> is the number of hit points the Pokémon has at full health. | ||
* HP<sub>current</sub> is the number of hit points the Pokémon has at the moment | * HP<sub>current</sub> is the number of hit points the Pokémon has at the moment. | ||
* rate is the [[List of Pokémon by catch rate|catch rate of the Pokémon]] (which may be modified due to use of [[ | * rate is the [[List of Pokémon by catch rate|catch rate of the Pokémon]] (which may be modified due to use of [[Apricorn]] balls or actions in the [[Safari Zone]]). | ||
* bonus<sub>ball</sub> is the multiplier for the Poké Ball used | * bonus<sub>ball</sub> is the multiplier for the Poké Ball used. | ||
* bonus<sub>status</sub> is the multiplier for any [[status condition]] the Pokémon has (2 for sleep and freeze | * bonus<sub>status</sub> is the multiplier for any [[status condition]] the Pokémon has (2 for sleep and freeze; 1.5 for paralysis, poison, or burn; 1 otherwise). Due to a bug in Pokémon Ruby and Sapphire, if the target Pokémon is afflicted with {{status|bad poison}}, no catch bonus is applied. This was fixed in Pokémon FireRed, LeafGreen, and Emerald. | ||
If a Pokémon could have 0 HP, the maximum value for ''a'' would be rate × bonus<sub>ball</sub> × bonus<sub>status</sub>. For a Pokémon with full health and no status condition, and with a neutral ball used, the minimum value for ''a'' would be rate / 3. | If a Pokémon could have 0 HP, the maximum value for ''a'' would be rate × bonus<sub>ball</sub> × bonus<sub>status</sub>. For a Pokémon with full health and no status condition, and with a neutral ball used, the minimum value for ''a'' would be rate / 3. | ||
The formula is slightly different when applied to the [[Apricorn]] balls in {{ | The formula is slightly different when applied to the [[Apricorn]] balls in {{game|HeartGold and SoulSilver|s}}. The modifiers for these balls are applied directly to the Pokémon's catch rate, rather than in the formula. In this case, bonus<sub>ball</sub> is always 1, and the catch rate cannot go higher than 255. This means that for Pokémon whose catch rate is already 255, such as {{p|Rattata}}, the Apricorn balls do not make the capture any more likely than a regular Poké Ball. | ||
For [[Shadow Pokémon]], their base catch rate is [[List of Shadow Pokémon|determined separately]], usually being higher than the normal catch rate for their species. | |||
===Hoenn/Kanto Safari Game=== | ===Hoenn/Kanto Safari Game=== | ||
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===Great Marsh and Johto Safari Zone=== | ===Great Marsh and Johto Safari Zone=== | ||
The [[Great Marsh]] and [[Johto Safari Zone]] also have mechanics that modify a Pokémon's catch rate. At the start of the encounter, the "catch" (and "escape") stages are set to 0. Then: | The [[Great Marsh]] and [[Johto Safari Zone]] also have mechanics that modify a Pokémon's catch rate. At the start of the encounter, the "catch" (and "escape") stages are set to 0. Then: | ||
*Throwing bait will raise the catch stage by 1. | * Throwing bait will raise the catch stage by 1. | ||
*Throwing mud has a 90% chance to lower the catch stage by 1. | * Throwing mud has a 90% chance to lower the catch stage by 1. | ||
This can modify a Pokémon's catch rate to a between 0.25× and 4× its base rate. | This can modify a Pokémon's catch rate to a between 0.25× and 4× its base rate. |