[Feature Request]: Show catchrate for wilds for different balls and HP values

[UTDZac]

Tell us about your request

Writing this here so I don't forget it.

I want to be able to see an estimated catchrate for tossing a ball at a wild encounter. This should work for any ball (probably just the ones in by bag), including Safari Ball, and should also take into consideration the enemy HP value (estimated, of course) and status conditions.

Additional Information

No response

[Fellshadow]

Couple of relevant resoureces/references that were posted in the initial discussion:

• An existing calculator: https://www.dragonflycave.com/calculators/gen-iii-iv-catch-rate
• Catch rate formula: https://bulbapedia.bulbagarden.net/wiki/Catch_rate#Capture_method_(Generation_III-IV)

  Note the entire section, including "Modified catch rate" and "Probability of capture" in particular

Also note that in Ironmon everything is set to the same base catch rate as caterpie (may want to read this from the game for more general usage though)

[jtigues]

Noting for posterity: Base version of this is included now, but it assumes that a poke ball is used. Rates for the other balls are loaded but unused at this time as the implementation is not in its own screen

[jtigues]

Also noting that technically while the formula used is what is in the Gen 3 games, there are some inaccuracies especially at higher percentages due to rounding errors in the Gen 3 games. Folks will have likely observed that when playing using Kaizo rules, Pokeballs would guarantee a catch at around ~1/3 HP, but if the formula worked as intended you would actually only reach 100% with no status and a pokeball at 0% HP. Rounding errors could likely also be replicated to make the current formula more accurate, but for now using the actual intended formula

Update: we did the rounding error thing, formula is accurate respective to the in-game calculation now