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Hidden Power (move)/Calculation: Difference between revisions
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{{main|Hidden Power (move)}} | {{main|Hidden Power (move)}} | ||
In the Pokémon games, {{m|Hidden Power}} is a {{type|Normal}} move when the type is displayed, such as in battle and on status screens. However, the actual type of Hidden Power is determined by the Pokémon's [[individual values]], and through calculation, can be set as one of other natural types. In Generations II to V, Hidden Power's base power is also determined by the Pokémon's individual values; in Generation II it ranges from 31 to 70, while in Generation III to V it ranges from 30 to 70. | In the Pokémon games, {{m|Hidden Power}} is a {{type|Normal}} move when the type is displayed, such as in battle and on status screens. However, the actual type of Hidden Power is determined by the Pokémon's [[individual values]], and through calculation, can be set as one of other natural types. In Generations II to V, Hidden Power's base power is also determined by the Pokémon's individual values; in Generation II it ranges from 31 to 70, while in Generation III to V it ranges from 30 to 70. From Generation VI onward, Hidden Power's base power is always 60. | ||
The type of Hidden Power can be checked in [[Veilstone Game Corner]]'s prize house | The type of Hidden Power can be checked in certain locations in the games by talking to certain NPCs. These NPCs will refuse to tell the player the Hidden Power type of a Pokémon unless it can learn the move via [[level]] up or [[TM]] (even if it knows Hidden Power at the time).<!--they will not tell the Hidden Power type of a Smeargle that knows Hidden Power--> | ||
*In {{game|Platinum}}, in [[Veilstone Game Corner]]'s prize house | |||
*In {{game|HeartGold and SoulSilver|s}}, in the [[Celadon Game Corner]] | |||
*In {{game|Black and White|s}}, in [[Mistralton City]]'s [[Pokémon Center]] | |||
*In {{game|Black and White|s 2|Pokémon Black 2 and White 2}}, the [[Pokémon World Tournament|PWT]] | |||
*In [[Pokémon X and Y]], in the house to the right of the Boutique in [[Anistar City]] | |||
*In [[Pokémon Omega Ruby and Alpha Sapphire]], in the second northern house from the west in [[Fortree City]] | |||
*In [[Pokémon Sun and Moon]], in the [[Pokémon Nursery]] on [[Paniola Ranch]] | |||
There is no in-game way to determine Hidden Power's [[power]] directly in games where it is not fixed. | |||
==Generation II== | ==Generation II== | ||
| Line 19: | Line 28: | ||
The resulting number will correspond to a type as marked below. | The resulting number will correspond to a type as marked below. | ||
{| class="roundy" style="background: #{{platinum color}}; border: 3px solid #{{platinum color light}} | {| class="roundy" style="text-align: center; color: #FFF; background: #{{platinum color}}; border: 3px solid #{{platinum color light}}; {{roundy|10px}}" | ||
! style="background: #{{platinum color light}}; {{roundytl| | ! style="color: #000; background: #{{platinum color light}}; {{roundytl|5px}}" | Number | ||
! style="background: #{{platinum color light}}; {{roundytr| | ! style="color: #000; background: #{{platinum color light}}; {{roundytr|5px}}" | Type | ||
|-style="background | |- style="background: #{{Fighting color}}" | ||
| 0 | | 0 | ||
| {{typecolor|Fighting}} | | {{typecolor|Fighting}} | ||
|-style="background | |- style="background: #{{Flying color}}" | ||
| 1 | | 1 | ||
| {{typecolor|Flying}} | | {{typecolor|Flying}} | ||
|-style="background | |- style="background: #{{poison color}}" | ||
| 2 | | 2 | ||
| {{typecolor|Poison}} | | {{typecolor|Poison}} | ||
|-style="background | |- style="background: #{{Ground color}}" | ||
| 3 | | 3 | ||
| {{typecolor|Ground}} | | {{typecolor|Ground}} | ||
|-style="background | |- style="background: #{{Rock color}}" | ||
| 4 | | 4 | ||
| {{typecolor|Rock}} | | {{typecolor|Rock}} | ||
|-style="background | |- style="background: #{{Bug color}}" | ||
| 5 | | 5 | ||
| {{typecolor|Bug}} | | {{typecolor|Bug}} | ||
|-style="background | |- style="background: #{{Ghost color}}" | ||
| 6 | | 6 | ||
| {{typecolor|Ghost}} | | {{typecolor|Ghost}} | ||
|-style="background | |- style="background: #{{Steel color}}" | ||
| 7 | | 7 | ||
| {{typecolor|Steel}} | | {{typecolor|Steel}} | ||
|-style="background | |- style="background: #{{Fire color}}" | ||
| 8 | | 8 | ||
| {{typecolor|Fire}} | | {{typecolor|Fire}} | ||
|-style="background | |- style="background: #{{Water color}}" | ||
| 9 | | 9 | ||
| {{typecolor|Water}} | | {{typecolor|Water}} | ||
|-style="background | |- style="background: #{{Grass color}}" | ||
| 10 | | 10 | ||
| {{typecolor|Grass}} | | {{typecolor|Grass}} | ||
|-style="background | |- style="background: #{{Electric color}}" | ||
| 11 | | 11 | ||
| {{typecolor|Electric}} | | {{typecolor|Electric}} | ||
|-style="background | |- style="background: #{{Psychic color}}" | ||
| 12 | | 12 | ||
| {{typecolor|Psychic}} | | {{typecolor|Psychic}} | ||
|-style="background | |- style="background: #{{Ice color}}" | ||
| 13 | | 13 | ||
| {{typecolor|Ice}} | | {{typecolor|Ice}} | ||
|-style="background | |- style="background: #{{Dragon color}}" | ||
| 14 | | 14 | ||
| {{typecolor|Dragon}} | | {{typecolor|Dragon}} | ||
|-style="background | |- | ||
| style="background: #{{Dark color}}; {{roundybl|5px}}" | 15 | |||
| {{typecolor|Dark}} | | style="background: #{{Dark color}}; {{roundybr|5px}}" | {{typecolor|Dark}} | ||
|} | |} | ||
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{{Hidden Power calculation/II|14<br>''N/A''|15<br>''1''|15<br>''1''|15<br>''1''|14<br>''1''}} | {{Hidden Power calculation/II|14<br>''N/A''|15<br>''1''|15<br>''1''|15<br>''1''|14<br>''1''}} | ||
HP Power = Floor[(5*(1 + '''2*1''' + '''4*1''' + '''8*1''') + 2)/2+31] = Floor[(5*('''1 + 2 + 4 + 8''') + 2)/2+31] = Floor[('''5*15''' + 2)/2+31] = Floor[('''75 + 2''')/2+31] = Floor['''77/2'''+31] = Floor[''' | HP Power = Floor[(5*(1 + '''2*1''' + '''4*1''' + '''8*1''') + 2)/2+31] = Floor[(5*('''1 + 2 + 4 + 8''') + 2)/2+31] = Floor[('''5*15''' + 2)/2+31] = Floor[('''75 + 2''')/2+31] = Floor['''77/2'''+31] = Floor['''38.5+31'''] = '''Floor[69.5]''' = '''69''', which means that our Pikachu's Hidden Power's power is '''69''' | ||
{{Hidden Power calculation/II|14|15|15|15|14}} | {{Hidden Power calculation/II|14|15|15|15|14}} | ||
{| class="roundy" | {| class="roundy" style="width: 650px; border: 2px solid #{{Dark color light}}" | ||
|- style="text-align:center" | |- style="text-align: center; color: #FFF" | ||
| | | style="width: 33%; background: #{{Dark color}}; {{roundyleft|10px}}" | {{mcolor|Hidden Power|FFF}}: | ||
| | | style="background: #{{Dark color}}" | Type:<br>'''{{tcolor|Dark|FFF}}''' | ||
| | | style="background: #{{Dark color}}; {{roundyright|10px}}" | Power:<br>'''69''' | ||
|} | |} | ||
==Generation III | ==Generation III onward== | ||
===Type=== | ===Type=== | ||
Consider an example Pokémon, like Pikachu with this set of IVs: | Consider an example Pokémon, like Pikachu with this set of IVs: | ||
{{Hidden Power calculation/IV|30|31|31|31|30|31}} | {{Hidden Power calculation/IV|30|31|31|31|30|31|025Pikachu.png{{!}}100px}} | ||
Hidden Power's type of a Pokémon with given IVs is represented by a number, calculated with this formula: | Hidden Power's type of a Pokémon with given IVs is represented by a number, calculated with this formula: | ||
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The resulting number will correspond to a type as marked below. | The resulting number will correspond to a type as marked below. | ||
{| class="roundy" style="background: #{{platinum color}}; border: 3px solid #{{platinum color light}} | {| class="roundy" style="text-align: center; color: #FFF; background: #{{platinum color}}; border: 3px solid #{{platinum color light}}; {{roundy|10px}}" | ||
! style="background: #{{platinum color light}}; {{roundytl| | ! style="color: #000; background: #{{platinum color light}}; {{roundytl|5px}}" | Number | ||
! style="background: #{{platinum color light}}; {{roundytr| | ! style="color: #000; background: #{{platinum color light}}; {{roundytr|5px}}" | Type | ||
|-style="background | |- style="background: #{{Fighting color}}" | ||
| 0 | | 0 | ||
| {{typecolor|Fighting}} | | {{typecolor|Fighting}} | ||
|-style="background | |- style="background: #{{Flying color}}" | ||
| 1 | | 1 | ||
| {{typecolor|Flying}} | | {{typecolor|Flying}} | ||
|-style="background | |- style="background: #{{poison color}}" | ||
| 2 | | 2 | ||
| {{typecolor|Poison}} | | {{typecolor|Poison}} | ||
|-style="background | |- style="background: #{{Ground color}}" | ||
| 3 | | 3 | ||
| {{typecolor|Ground}} | | {{typecolor|Ground}} | ||
|-style="background | |- style="background: #{{Rock color}}" | ||
| 4 | | 4 | ||
| {{typecolor|Rock}} | | {{typecolor|Rock}} | ||
|-style="background | |- style="background: #{{Bug color}}" | ||
| 5 | | 5 | ||
| {{typecolor|Bug}} | | {{typecolor|Bug}} | ||
|-style="background | |- style="background: #{{Ghost color}}" | ||
| 6 | | 6 | ||
| {{typecolor|Ghost}} | | {{typecolor|Ghost}} | ||
|-style="background | |- style="background: #{{Steel color}}" | ||
| 7 | | 7 | ||
| {{typecolor|Steel}} | | {{typecolor|Steel}} | ||
|-style="background | |- style="background: #{{Fire color}}" | ||
| 8 | | 8 | ||
| {{typecolor|Fire}} | | {{typecolor|Fire}} | ||
|-style="background | |- style="background: #{{Water color}}" | ||
| 9 | | 9 | ||
| {{typecolor|Water}} | | {{typecolor|Water}} | ||
|-style="background | |- style="background: #{{Grass color}}" | ||
| 10 | | 10 | ||
| {{typecolor|Grass}} | | {{typecolor|Grass}} | ||
|-style="background | |- style="background: #{{Electric color}}" | ||
| 11 | | 11 | ||
| {{typecolor|Electric}} | | {{typecolor|Electric}} | ||
|-style="background | |- style="background: #{{Psychic color}}" | ||
| 12 | | 12 | ||
| {{typecolor|Psychic}} | | {{typecolor|Psychic}} | ||
|-style="background | |- style="background: #{{Ice color}}" | ||
| 13 | | 13 | ||
| {{typecolor|Ice}} | | {{typecolor|Ice}} | ||
|-style="background | |- style="background: #{{Dragon color}}" | ||
| 14 | | 14 | ||
| {{typecolor|Dragon}} | | {{typecolor|Dragon}} | ||
|-style="background | |- | ||
| style="background: #{{Dark color}}; {{roundybl|5px}}" | 15 | |||
| {{typecolor|Dark}} | | style="background: #{{Dark color}}; {{roundybr|5px}}" | {{typecolor|Dark}} | ||
|} | |} | ||
In our example, we get: | In our example, we get: | ||
{{Hidden Power calculation/IV|30<br>''0''|31<br>''1''|31<br>''1''|31<br>''1''|30<br>''0''|31<br>''1''}} | {{Hidden Power calculation/IV|30<br>''0''|31<br>''1''|31<br>''1''|31<br>''1''|30<br>''0''|31<br>''1''|025Pikachu.png{{!}}100px}} | ||
HP Type = Floor[('''0 + 2 + 4 + 8 + 0 + 32''')*15/63] = Floor['''46*15/63'''] = '''Floor[10.952]''' = '''10''', which means that our Pikachu has a {{type|Grass}} {{m|Hidden Power}}. | HP Type = Floor[('''0 + 2 + 4 + 8 + 0 + 32''')*15/63] = Floor['''46*15/63'''] = '''Floor[10.952]''' = '''10''', which means that our Pikachu has a {{type|Grass}} {{m|Hidden Power}}. | ||
| Line 196: | Line 205: | ||
<!-- If we have the picture, why do we need the text? --> | <!-- If we have the picture, why do we need the text? --> | ||
* The variables ''u'' through ''z'' (the "damage bits") represent the second least significant bit of each IV. If a variable has a remainder of 2 or 3 when divided by 4, this bit is 1. Otherwise, the bit is | * The variables ''u'' through ''z'' (the "damage bits") represent the second least significant bit of each IV. If a variable has a remainder of 2 or 3 when divided by 4, this bit is 1. Otherwise, the bit is 0. | ||
:* ''u'' depends on the HP stat. | :* ''u'' depends on the HP stat. | ||
:* ''v'' and ''w'' depend on the Attack and Defense stats respectively. | :* ''v'' and ''w'' depend on the Attack and Defense stats respectively. | ||
| Line 206: | Line 215: | ||
In our example, we get: | In our example, we get: | ||
{{Hidden Power calculation/IV|30<br>''1''|31<br>''1''|31<br>''1''|31<br>''1''|30<br>''1''|31<br>''1''}} | {{Hidden Power calculation/IV|30<br>''1''|31<br>''1''|31<br>''1''|31<br>''1''|30<br>''1''|31<br>''1''|025Pikachu.png{{!}}100px}} | ||
HP Power = Floor[((1 + 2 + 4 + 8 + 16 + 32)*40/63)+30] = Floor [(63*40/63)+30] = Floor[70] = '''70''', which means that our Pikachu's Hidden Power's power is '''70''' | HP Power = Floor[((1 + 2 + 4 + 8 + 16 + 32)*40/63)+30] = Floor [(63*40/63)+30] = Floor[70] = '''70''', which means that our Pikachu's Hidden Power's power is '''70''' | ||
{{Hidden Power calculation/IV|30|31|31|31|30|31}}{{-}} | {{Hidden Power calculation/IV|30|31|31|31|30|31|025Pikachu.png{{!}}100px}}{{-}} | ||
{| class="roundy" | {| class="roundy" style="width: 650px; border: 2px solid #{{Grass color light}}" | ||
|- style="text-align:center" | |- style="text-align: center" | ||
| | | style="width: 33%; background: #{{Grass color}}; {{roundyleft|10px}}" | {{mcolor|Hidden Power|000}}: | ||
| | | style="background: #{{Grass color}}" | Type:<br>'''{{tcolor|Grass|000}}''' | ||
| | | style="background: #{{Grass color}}; {{roundyright|10px}}" | Power:<br>'''70''' | ||
|} | |} | ||
| Line 221: | Line 230: | ||
As there are 6 IVs, ranging from 0 to 31 (32 in total), the number of different possible Hidden Powers should be 32<sup>6</sup>=2<sup>30</sup>, which is more than one billion possibilities. But let us consider two Pokémon with one different IV: | As there are 6 IVs, ranging from 0 to 31 (32 in total), the number of different possible Hidden Powers should be 32<sup>6</sup>=2<sup>30</sup>, which is more than one billion possibilities. But let us consider two Pokémon with one different IV: | ||
{{Hidden Power calculation/IV|'''30'''|31|31|31|30|31| | {{Hidden Power calculation/IV|'''30'''|31|31|31|30|31|025Pikachu-Rock Star.png{{!}}100px}} | ||
and | and | ||
{{Hidden Power calculation/IV|'''26'''|31|31|31|30|31| | {{Hidden Power calculation/IV|'''26'''|31|31|31|30|31|025Pikachu-Libre.png{{!}}100px}} | ||
As we see, both 26 and 30 are divisible by 2 and give the remainder of 2 when divided by 4. So, in both cases the algorithms will interpret the IVs of those Pokémon in the same way, returning Grass-type Hidden Power with 70 power. It means that for the mentioned algorithms an IV of 30 is treated in the same way like IVs of 2,6,10,14,18,22 and 26 (8 in total). | As we see, both 26 and 30 are divisible by 2 and give the remainder of 2 when divided by 4. So, in both cases the algorithms will interpret the IVs of those Pokémon in the same way, returning Grass-type Hidden Power with 70 power. It means that for the mentioned algorithms an IV of 30 is treated in the same way like IVs of 2,6,10,14,18,22 and 26 (8 in total). | ||
| Line 259: | Line 268: | ||
As it was stated before, the number of theoretically different Hidden Powers is 4096, which is the result of multiplying theoretical values of possible types (64) and powers (also 64). It means that every of 64 "types" comes into 64 "powers". After rounding down, however, the number of 64 "types" is reduced to 16 and the number of 64 "powers" to 41. | As it was stated before, the number of theoretically different Hidden Powers is 4096, which is the result of multiplying theoretical values of possible types (64) and powers (also 64). It means that every of 64 "types" comes into 64 "powers". After rounding down, however, the number of 64 "types" is reduced to 16 and the number of 64 "powers" to 41. | ||
{| style="margin:auto | {| style="margin: auto" | ||
|- style="vertical-align:top" | |- style="vertical-align: top" | ||
| | | | ||
{| style="background: #{{ | {| class="roundy" style="text-align: center; color: #FFF; background: #{{platinum color}}; border: 3px solid #{{platinum color light}}; {{roundy|10px}}" | ||
|+ '''Percentage distribution of Hidden Power's type''' | |+ style="color: #000" | '''Percentage distribution of Hidden Power's type''' | ||
! style=" | ! style="color: #000; background: #{{platinum color light}}; {{roundytl|5px}}" | Number | ||
! style=" | ! style="color: #000; background: #{{platinum color light}}" | Type | ||
! style=" | ! style="color: #000; background: #{{platinum color light}}" | Qty | ||
! style=" | ! style="color: #000; background: #{{platinum color light}}; {{roundytr|5px}}" | % | ||
|-style="background | |- style="background: #{{Fighting color}}" | ||
| | | 0 | ||
| | | Fighting | ||
| | | 320 | ||
| | | 7.8125% | ||
|-style="background | |- style="background: #{{Flying color}}" | ||
| 1 | | 1 | ||
| Flying | | Flying | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{poison color}}" | ||
| 2 | | 2 | ||
| Poison | | Poison | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Ground color}}" | ||
| 3 | | 3 | ||
| Ground | | Ground | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Rock color}}" | ||
| 4 | | 4 | ||
| Rock | | Rock | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Bug color}}" | ||
| | | 5 | ||
| | | Bug | ||
| | | 320 | ||
| | | 7.8125% | ||
|-style="background | |- style="background: #{{Ghost color}}" | ||
| 6 | | 6 | ||
| Ghost | | Ghost | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Steel color}}" | ||
| 7 | | 7 | ||
| Steel | | Steel | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Fire color}}" | ||
| 8 | | 8 | ||
| Fire | | Fire | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Water color}}" | ||
| 9 | | 9 | ||
| Water | | Water | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Grass color}}" | ||
| | | 10 | ||
| | | Grass | ||
| | | 320 | ||
| | | 7.8125% | ||
|-style="background | |- style="background: #{{Electric color}}" | ||
| 11 | | 11 | ||
| Electric | | Electric | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Psychic color}}" | ||
| 12 | | 12 | ||
| Psychic | | Psychic | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Ice color}}" | ||
| 13 | | 13 | ||
| Ice | | Ice | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|-style="background | |- style="background: #{{Dragon color}}" | ||
| 14 | | 14 | ||
| Dragon | | Dragon | ||
| 256 | | 256 | ||
| 6.25% | | 6.25% | ||
|- | |- | ||
| style="background: #{{Dark color}}; {{roundybl|5px}}" | 15 | |||
| style="background: #{{Dark color}}" | Dark | |||
| style="background: #{{Dark color}}" | 64 | |||
| style="background: #{{Dark color}}; {{roundybr|5px}}" | 1.5625% | |||
|} | |||
| style="width: 40px" | | |||
| | | | ||
{| class="roundy" style="background: #{{platinum color}}; border: 3px solid #{{platinum color light}}; {{roundy|10px}}" | |||
{| style="background: #{{ | |||
|+ '''Percentage distribution of Hidden Power's powers (prior to Generation VI)''' | |+ '''Percentage distribution of Hidden Power's powers (prior to Generation VI)''' | ||
! | ! style="background: #{{platinum color light}}; {{roundytl|5px}}" | Powers | ||
! | ! style="background: #{{platinum color light}}" | Qty | ||
! | ! style="background: #{{platinum color light}}; {{roundytr|5px}}" | % | ||
|- style="background: # | |- style="background: #FFF" | ||
| 30, 31, 33, 35, 36, 38,<br>40, 42, 43, 45, 47, 49,<br>50, 52, 54, 56, 57, 59,<br>61, 63, 64, 66, 68 | | 30, 31, 33, 35, 36, 38,<br>40, 42, 43, 45, 47, 49,<br>50, 52, 54, 56, 57, 59,<br>61, 63, 64, 66, 68 | ||
| | | 128 each (23×) | ||
| 3.125% | | 3.125% each (23×) | ||
|- style="background: # | |- | ||
| 32, 34, 37, 39, 41, 44,<br>46, 48, 51, 53, 55, 58,<br>60, 62, 65, 67, 69, 70 | | style="background: #FFF; {{roundybl|5px}}" | 32, 34, 37, 39, 41, 44,<br>46, 48, 51, 53, 55, 58,<br>60, 62, 65, 67, 69, 70 | ||
| | | style="background: #FFF" | 64 each (18×) | ||
| | | style="background: #FFF; {{roundybr|5px}}" | 1.5625% each (18×) | ||
| | |||
|} | |} | ||
|} | |} | ||
==External links== | ==External links== | ||
| Line 389: | Line 386: | ||
[[Category:Subpages]] | [[Category:Subpages]] | ||
[[de:Kraftreserve/Berechnung]] | |||
[[es:Cálculo del poder oculto]] | |||
[[ja:めざめるパワー計算法]] | [[ja:めざめるパワー計算法]] | ||
[[zh: | [[zh:觉醒力量（招式）/计算]] | ||