Hidden Power is one of the most, if not the most, enigmatic moves in all of Pokémon. It can be learnt by just about any Pokémon, but not very many people know about its inner workings.
The game states that Hidden Power is a Normal-Type move with an undetermined power, 100% Accuracy, 15 Power Points (PP), and, in Diamond, Pearl, and Platinum, a Special Categorization (meaning that damage is calculated off of the Special Attack and Special Defense stats). While the Accuracy, PP, and Special Categorization are all set in stone, the Type and the Power, the two things not properly described in the In-game explanation, are unique to the Pokémon to which the move is taught. However, both of these factors can be determined by relatively simple formulas. Unfortunately, both of these formulas are based off of Individual Values (IVs), which are impossible to see In-game.
There are several ways to determine the Type of the Hidden Power. Battling several wild Pokémon with different types allows you to figure out the Type through the process of elimination. To expedite the process if you are playing in Ruby, Sapphire, Emerald, or Diamond, you can battle a Kecleon to figure out the Type. Its Color Change Ability will inform you of the type unless it is Ghost, in which case the move will not affect the foe. Although the move's description lists it as being a Normal-Type move, this is the one type that it cannot be, so battling a Kecleon will work every time, assuming it does not KO you before you get to attack, or you KO the Kecleon with the move. There is also a mathematical method to figure out the Type.
As I have mentioned before, IVs are used to calculate the Type and Power of each Pokémon's Hidden Power.
Type= ((H + A + D + S + X + Y)/ 4)mathfloor
Now, since the HP IV is odd, it goes into the formula as H=1.
And since the Attack IV is odd, it goes into the formula as A=2.
Since I think you get the process, let's finish plugging in the numbers:
Now add up the former variables:
Multiply 35 by 15:
And divide 525 by 63:
And, since there are numbers after the decimal, we eliminate them due to "mathfloor."
Wait, there is no type called eight! Well, there is a table that tells us which numbers correspond to which Hidden Power Type.
So this Pokémon has a Hidden Power Type of Fire because the equation produced an "8."
Even though we now know that this Pokémon has a Hidden Power of the Fire Type, we still don't know its Power, which is certainly important! Unfortunately, there is no really easy way to figure it out, so mathematics is required.
Power: ((H + A + D + S + X + Y)*(40/63) + 30)mathfloor
It looks fairly similar to the Type formula, doesn't it? However, it doesn't use even and odd numbers to change the variables' values. Instead, it asks if the IV, when divided by 4, has a remainder of 2 or 3 (in decimal, if it has .5 or.75 after division). If the any of the IVs, when divided by 4 do not have a remainder of 2 or 3, the corresponding variable has a value of 0. If the IV for the respective stat is divisible by 2 or 3, the values of the variables are as follows: H is equal to 1; A is equal to 2; D, equal to 4; S, to 8; X, to 16; and Y, to 32. Again, once the values of the variables are determined, add them up. Now, multiply them by 40, divide the product by 63, and then add 30 to the result. Again, you will want to use the "mathfloor" function to eliminate any numbers after the decimal place (if there is one).
Now that the method for determining the Power has been established, let's figure out the strength of the example Pokémon's Hidden Power.
Now, 29 divided by 4 is 7 with a remainder of 1. Since that's not 2 or 3, the H variable is 0.
Moving on to the Attack IV, 16 divided by 4 is 4 with a remainder of 3.
For all of the others: 18 divided by 4 is 4 with a remainder of 2; 28 divided by 4 is 7 with a remainder of 0; 22 divided by 4 is 5 with a remainder of 2; and 15 divided by 4 is 3 with a remainder of 3. So, D, S, X, and Y are 4, 0, 16 and 32 respectively.
Next, add up the numbers:
Multiply 54 by 40:
Divide 2160 by 63:
And add 30:
Again, since there are decimals, "mathfloor" eliminates them, so this Pokémon has:
A few things to note about Hidden Power:
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