Personality value: Difference between revisions

From Generation VI onward, the gender threshold is compared to a random number between 1 and 252 (inclusive) instead of ''p_gender'' (which is between 0 and 255); this causes Pokémon with a "1:1" gender ratio to actually be distributed according to the ideal ratio.

In Generation V, a Pokémon's Ability is determined differently depending on whether it originated in Generation V or an earlier generation. Pokémon from earlier generations will still have their Ability determined by the lowest bit in ''p''. Pokémon originating in Generation V, however, use the lowest bit of the upper half of ''p'' to determine their Ability. Just as with Generation III and IV Pokémon, a 0 still indicates a Pokémon's first Ability, while 1 indicates its second. This can be derived by calculating <code>''p'' / 65536 % 2</code> (rounded down).

If a Pokémon is transferred to a later generation where its species' Abilities have changed, it will retain the Ability it had in the earlier generation so long as it does not evolve, since the games store a Pokémon's current Ability in a value separate from its personality value. However, in Generations IV and V, when a Pokémon evolves, its personality value is rechecked and the Pokémon's Ability may change. If a Pokémon that would change Abilities on evolution is transferred to [[Generation VI]], it will be locked into its current Ability slot upon transfer through [[Poké Transporter]].

In Generations {{Gen|III}} and {{Gen|IV}} a Pokémon's [[Nature]] is determined by <code>''p'' % 25</code>. From [[Generation V]] onward, Nature is determined by a separate byte, unrelated to the personality value.

From Generation III onward, whether a Pokémon is {{Shiny}} depends on its [[original Trainer]]'s [[Trainer ID number]] and [[secret ID number]] and on the Pokémon's personality value. The high half of ''p'' (highlighted in <span style="background:#FF9999">red</span> above) is referred to as ''p''₁ below, while the low half (highlighted in <span style="background:#9999FF">blue</span>) is referred to as ''p''₂. Mathematically, ''p''₁ can be derived by calculating <code>''p'' / 65536</code> and rounding down the result, while ''p''₂ can be derived by calculating <code>''p'' % 65536</code>.

From [[Generation IV]] onward, Pokémon have a [[Characteristic]] which indicates their highest {{IV}}. In Generation IV and V, in the case of a tie, the personality value is used to determine which stat wins the tie; in Generation VI, the [[encryption constant]] is used in the case of a tie.

The tie-breaker starts at the stat with the index <code>''p'' % 6</code> and increments the index (returning to 0 after reaching 5) if it is not one of the stats that is tied for highest. The first stat checked that is tied for highest wins the tie and will determine the Characteristic.

{{p|Spinda}} has four spots: two on its face, and one on each of its ears. From Generation III to V, this is determined by its personality value; in Generation VI, this is determined by its [[encryption constant]].

<code>''α'' = ''p_letter'' % 28</code>

{{p|Wurmple}}'s evolution is determined by the upper half of its personality value (highlighted in <span style="background:#FF9999">red</span> above), referred to here as ''p_w''. (Mathematically, this is equivalent to <code>''p'' / 65536</code>, rounded down.) In Generation VI, Wurmple's evolution is now determined by the [[encryption constant]], albeit with the same formula.

If ''p_w'' {{wp|Modulo operation|modulo}} 10 is less than or equal to 4, Wurmple will evolve into {{p|Silcoon}}; if it is greater than 4, Wurmple will evolve into {{p|Cascoon}}.

The lowest two bytes of ''p'' are used in the calculation: ''p''₁ (highlighted in <span style="background:#9999FF">blue</span> above) is mathematically equivalent to <code>''p'' % 256</code>, while ''p''₂  (highlighted in <span style="background:#FF9999">red</span>) is equivalent to <code>(''p'' / 256) % 256</code> (rounded down). The IV values are also not used in whole; only the four {{wp|least significant bit}}s of each are used: mathematically, <code>''<stat>' = ''IV''_<stat> % 16''</code>.

 

The day-to-day [[performance]] of a Pokémon in the [[Pokéathlon]] depends on its personality value and the day of the month. It also depends on Nature, which is also calculated based on the personality value. The five least significant decimal digits of ''p'' will here be referred to as ''p''₀ to ''p''₄, in order from the least significant bit to the most significant, and they govern (in order) the attributes Power, Stamina, Skill, Jump, and Speed.

*'''Day of the month modifier''': <code>( ( (''day'' + ''attribute'' + 3) × (''day'' - ''attribute'' + 7) + ''p_attribute'' ) % 10 ) × 2 - 9</code>, where:

:Since Nature is determined by the last two digits of the personality value, the Nature of a Pokémon will reveal constrains on possible values of this modifier for Power (and, to a lesser extent, Stamina). For example, a Hardy {{p|Wurmple}} (last digit of ''p'': 0 or 5) will never get a +9 or a +7 from this modifier in Power. If it evolves into a {{p|Cascoon}} (last digit of ''p'': 5), this further reveals that its best day-of-the-month modifier (+5) will be on the first day of a month only. On the other hand, a Hardy {{p|Silcoon}} will have a +5 boost six times a month (on days ending with 4 or 6).