Personality value

A Pokémon's personality value (Japanese:  personality value) is an   that is created when the Pokémon is first generated by the game. As an unsigned 32-bit integer, its value can be anywhere from 0 (32 zeroes in binary) to 4,294,967,295 (32 ones in binary), inclusive. This value was introduced with the Pokémon data structure overhaul that occurred at the start of Generation III, and is generated using the games' pseudorandom number generator.

Generation
For Pokémon encountered in the wild, it is set upon encountering them. For gift Pokémon and Eggs, it is set upon receiving them. For Eggs from Pokémon Day Care, when it is set varies between games.
 * In Generation III except in, the lower half of the personality value is set when the Day-Care Man finds the Egg, while the second half is set when the player obtains the Egg from the Day-Care Man.
 * In and Generation IV, it is set when the Day-Care Man finds the Egg.
 * In Generation V, it is set when the player obtains the Egg from the Day-Care Man.

Usage
Precisely which properties are determined by the personality value varies between generations.

Gender
From Generation III to Generation V, Pokémon's gender is determined by the lowest eight digits (the lowest byte, highlighted in red above) of p in binary form. Mathematically, this can be derived by calculating. Below, this value will be referred to as pgender.

In a Pokémon species' base stat structure, there is a value called the gender threshold, a byte with a value ranging from 0 to 255. With the exception of a few special cases, pgender is compared to the gender threshold to determine if the Pokémon is male or female.

If the gender threshold is not a special value (0, 254, or 255), pgender is compared to the gender threshold. If pgender is greater than or equal to the gender threshold, the Pokémon is male, otherwise it is female. Because the comparison to determine gender is greater than or equal, Pokémon are not actually perfectly distributed between male and female according to the ideal ratios.

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

If a species has a gender threshold of 255, it is genderless species (such as ), so is always genderless. If a species has a gender threshold of 254, it is a female-only species (such as ), so is always female. If a species has a gender threshold of 0, it is a male-only species (such as ), so is always male.

Ability
Generation III-IV origin: Generation V origin:

In Generations III and IV, if a Pokémon's species has more than one Ability, its Ability is determined by the lowest bit (highlighted in red above) of its personality value; i.e., whether p is even or odd. If p is even (the lowest bit is 0), the Pokémon has its first Ability. If p is odd (the lowest bit is 1), it has the second.

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  (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 Pokémon Bank, it will be locked into its current Ability slot upon transfer through Poké Transporter.

As an example, in Generation III, and  only had the Ability, but in Generation IV, they gained  as a second Ability. If a from Generation III is brought to a Generation IV game, it will have Trace no matter what its personality value; however, if it evolves into, it will only keep Trace if p is even.

A separate bit governs whether a Pokémon has their normal Abilities or Hidden Abilities in Generation V. If a Pokémon has its Hidden Ability, its personality value is always set to be even (denoting a first Ability).

Nature
In Generations and  a Pokémon's Nature is determined by. From Generation V onward, Nature is determined by a separate byte, unrelated to the personality value.

The result of  corresponds to the following Natures:

Shininess
From Generation III onward, whether a Pokémon is 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 red above) is referred to as p1 below, while the low half (highlighted in blue ) is referred to as p2. Mathematically, p1 can be derived by calculating  and rounding down the result, while p2 can be derived by calculating.



A bitwise operation (or "⊕") on inputs a and b, written as a ⊕ b = c, outputs c such that, if ai (bit i of a) and bi are different, then ci is 1; otherwise it is 0. For example, 11002 ⊕ 10102 = 01102. When exclusive or is applied to multiple inputs, as in the calculation for Shininess above, it may be more easily understood as, "If an odd number of bits (at position i) are 1, output 1". This operation is.

From Generation III to, if S < 8, the Pokémon is Shiny. From Generation VI onward, the Pokémon is Shiny if S < 16. This is an 8 or 16 in 65536 chance of a Pokémon being Shiny.

Example
As an example, given a Trainer whose Trainer ID is 24294 and whose Secret ID is 38834...


 * IDTrainer = 2429410 = 01011110111001102
 * IDSecret = 3883410 = 10010111101100102

If the Trainer encounters a Pokémon whose personality value is 2814471828...


 * p = 281447182810 = 1010011111000001 0110111010010100 2
 * p1 = 10100111110000012
 * p2 = 01101110100101002

Then S is equal to...


 * S = 01011110111001102 ⊕ 10010111101100102 ⊕ 10100111110000012 ⊕ 01101110100101002
 * S = 00000000000000012 = 110

Since S is less than 8, this Pokémon is Shiny.

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

The tie-breaker starts at the stat with the index  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.

Spinda's spots
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; from Generation VI onward, this is determined by its encryption constant.

Each byte in the personality value represents the coordinates of one of these spots. The x-coordinate is the lower four bits of the byte and the y-coordinate is the higher four bits of the byte. These coordinates determine the position of the top-left corner of the corresponding spot.

While this would appear to mean that Spinda's spots have as many possible variations as there are personality values (4,294,967,296), some coordinates will place a spot off of Spinda's body or such that one wholly overlaps another. Therefore, in practice, the number of observed variations is fewer.

Unown's letter
pletter =

In Generation III, 's letter is determined by the composite value of the least significant 2 bits of each byte in p. With A representing 0 and each letter thereafter representing the following number value (with ? as 26 and ! as 27), Unown's letter can be determined by:

In Generation II, this is determined using individual values. In Generations IV and V, Unown's letter is determined by a separate byte, unrelated to the personality value.

Wurmple's evolution
's evolution is determined by the upper half of its personality value (highlighted in red above), referred to here as pw. (Mathematically, this is equivalent to, rounded down.) From Generation VI onward, Wurmple's evolution is now determined by the encryption constant, with the same formula.

If  is less than or equal to 4, Wurmple will evolve into ; if it is greater than 4, Wurmple will evolve into.

Size
In Generations III and IV, there are occasionally characters who want to see large Pokémon. The calculation to determine the size of one of these Pokémon depends on its individual values and its personality value. Like the Shininess calculation, this calculation also uses exclusive or (⊕).

The lowest two bytes of p are used in the calculation: p1 (highlighted in blue above) is mathematically equivalent to, while p2  (highlighted in red ) is equivalent to   (rounded down). The IV values are also not used in whole; only the four s of each are used: mathematically,.

The first step in the calculation is as follows:

For the next step, h is the species' height in tenths of a meter. and the values of x, y, and z depend on the value of s as shown in the following table.

The final part of the calculation gives the Pokémon's size in millimeters. The final value of Size is also rounded down.

If the game converts this number to inches, the final result will be rounded down to the nearest tenth of an inch.

The characters searching for large Pokémon can be found at the following locations:

Performance changes
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 p0 to p4, in order from the least significant bit to the most significant, and they govern (in order) the attributes Power, Stamina, Skill, Jump, and Speed.

The change in performance in a particular attribute is calculated as the sum of the following factors:
 * Day of the month modifier:, where:
 * Day is the day of the month.
 * Attribute is 0 for Power, 1 for Stamina, 2 for Skill, 3 for Jump, and 4 for Speed.
 * pattribute is the digit of p governing the current attribute.
 * Note that this modifier's values range from -9 to +9, and it only takes on odd values. This also means that the day of the month modifier cycles every 10 days, excepting for Power and Speed where the modifiers for Day 1 are different from those for Days 11, 21, and 31.
 * 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).


 * Nature modifier: the Pokémon's Nature may raise or lower its performance in an attribute. Non-neutral Natures will add or subtract 35 points from an attribute, if the Nature positively or negatively influences the stat that corresponds to the current attribute. Neutral natures will add or subtract 10 points from an attribute depending on the Nature.
 * Aprijuice modifier: the last Aprijuice the Pokémon drank affects the Pokémon's performance, depending on the strengths of the flavors in the Aprijuice.
 * Strongest flavor: add flavor * 1.5 (rounded down) plus 10 to the corresponding attribute.
 * Second strongest flavor: add flavor * 1.5 (rounded down) to the corresponding attribute.
 * Weakest flavor: subtract X times the sum of the two strongest flavors (rounded down) from the corresponding attribute, depending on the Aprijuice's mildness...
 * 0 - 199: X = 1 - 0.1 * Rounddown( mildness / 25 )
 * 200-254: X = 0.2
 * 255: X = 0.1
 * The Aprijuice flavors correspond to the performance attributes as follows:

The sum of these modifiers is then translated into a difference in stars as follows:

Note that performance changes may not drop below the Pokémon's minimum performance rating, nor may it exceed the Pokémon's maximum performance rating. Thus, for example, a may never have its Speed or Jump rating improved or degraded as those attributes are fixed (as such, for example, it is advisable to give it dry Aprijuices for which sweetness or bitterness is its weakest flavor).

Other uses
A Pokémon's personality value may also used for things unrelated to the Pokémon itself.

In, will appear on  if the lower half of the personality value of a Pokémon in the player's party matches a random number generated at the start of each day by the game. A man in Pacifidlog Town can also tell the player whether he sees the island "today", i.e., whether one of the Pokémon in the player's party matches Mirage Island's number.

Personality Value Valor de personalidad Personality Value Personalità 性格値 性格值