Stat - Revision history

Lerycide: Added large stat value behavior

2026-04-21T17:23:03Z

Added large stat value behavior

← Older revision		Revision as of 17:23, 21 April 2026
Line 194:		Line 194:

	This stat value is used in place of <math display="inline">\text{CombinedBattleStat}</math>.		This stat value is used in place of <math display="inline">\text{CombinedBattleStat}</math>.

			=== Stat Overflow and Precision Errors ===
			Prior to [[Version]] 1.7, it was possible for stats to hit such a high value that they wrap back to 1 for the main stats and 0 for accuracy or evasion. This is because during the stat calculation the values are stored as a fraction of two signed integers. If this fraction cannot be reduced, successive multipliers such as from [[Sticker Attributes]] would overflow either the numerator (resulting in the minimum value stats) or both the numerator and denominator, resulting in very low stat values.

			Since version 1.7, when working with large values that would otherwise result in overflow, the game now instead introduces precision errors, keeping the stats at a high value but the calculated stats are no longer consistent with the above formulas.

	{{Mechanics}}		{{Mechanics}}
	[[Category:Mechanics]]		[[Category:Mechanics]]

Lerycide: /* Monster Tape */ Fixed mistake in grow function

2025-04-12T16:15:57Z

Monster Tape: Fixed mistake in grow function

← Older revision		Revision as of 16:15, 12 April 2025
Line 123:		Line 123:
	<math>\text{MonsterStat} = \text{modify}( \text{grow}( \text{MonsterBaseStat}, \text{Grade}), \text{Stickers})</math>		<math>\text{MonsterStat} = \text{modify}( \text{grow}( \text{MonsterBaseStat}, \text{Grade}), \text{Stickers})</math>

	<math>\text{grow}(\text{s}, \text{grade}) = \text{floor}\left[\frac{(100 + 2~~\text{s}~~ \times \text{min}(\text{grade}, 5))}{100}\right]</math>		<math>\text{grow}(\text{s}, \text{grade}) = \text{floor}\left[\frac{s (100 + 2 \times \text{min}(\text{grade}, 5))}{100}\right]</math>

	<math>\text{modify}(\text{s}, \text{stickers}) = \text{floor}\left[\text{s} \times \prod\limits_{\text{m} \in \text{stickers}} \left( \frac{\text{AttributeValue}_\text{m} + 100}{100} \times \text{StatModifier}_\text{m} \right) \right]</math>		<math>\text{modify}(\text{s}, \text{stickers}) = \text{floor}\left[\text{s} \times \prod\limits_{\text{m} \in \text{stickers}} \left( \frac{\text{AttributeValue}_\text{m} + 100}{100} \times \text{StatModifier}_\text{m} \right) \right]</math>

Solari: added sunny's stats to the partner stat table

2025-04-07T23:46:20Z

added sunny's stats to the partner stat table

← Older revision		Revision as of 23:46, 7 April 2025
Line 56:		Line 56:
	\|100		\|100
	\|-		\|-
	\|[[~~Meredith~~]]		\|[[Eugene]]
	~~\|120~~
	\|120		\|120
	\|100		\|100
	\|100		\|100
	\|100		\|100
			\|120
	\|100		\|100
	\|-		\|-
	\|[[~~Eugene~~]]		\|[[Meredith]]
			\|120
	\|120		\|120
	\|100		\|100
	\|100		\|100
	\|100		\|100
	~~\|120~~
	\|100		\|100
	\|-		\|-
	\|[[Felix]]		\|[[Felix]]
	\|120		\|120
	\| 100		\|100
	\|120		\|120
	\|100		\|100
Line 83:		Line 83:
	\|120		\|120
	\|100		\|100
	\| 100		\|100
	\|120		\|120
	\|100		\|100
Line 95:		Line 95:
	\|100		\|100
	\|120		\|120
			\|-
			\|[[Sunny]]
			\|110
			\|115
			\|110
			\|105
			\|95
			\|105
	\|}		\|}
	Additionally, the character's base stats also get boosted by +10% if they are transformed into their signature species and its remasters. This does not affect the Accuracy and Evasion chance stats.		Additionally, the character's base stats also get boosted by +10% if they are transformed into their signature species and its remasters. This does not affect the Accuracy and Evasion chance stats.

The Harmonist: /* Battle */

2024-12-05T23:36:16Z

Battle

← Older revision		Revision as of 23:36, 5 December 2024
Line 149:		Line 149:

	===Battle===		===Battle===
	In battle, <math>\text{CharacterBaseStat}</math> is the same for the combined stat, but the monster tape's contribution handles the sticker effects later on. Instead, the stat used for ~~thee~~ monster tape form is		In battle, <math>\text{CharacterBaseStat}</math> is the same for the combined stat, but the monster tape's contribution handles the sticker effects later on. Instead, the stat used for the monster tape form is

	<math>\text{BattleMonsterStat} = \text{grow}( \text{MonsterBaseStat}, \text{Grade}) </math>		<math>\text{BattleMonsterStat} = \text{grow}( \text{MonsterBaseStat}, \text{Grade}) </math>

Lerycide: /* Character */ fixed error on characterstat and added minor writeup on combined stat

2024-06-13T09:20:37Z

Character: fixed error on characterstat and added minor writeup on combined stat

← Older revision		Revision as of 09:20, 13 June 2024
Line 130:		Line 130:
	This is the formula for the character stat, which can be viewed below the character (player or partner) when checking them in the party menu. These values do not account for the monster tape's influence on the stats. The displayed value does not account for the signature species boost.		This is the formula for the character stat, which can be viewed below the character (player or partner) when checking them in the party menu. These values do not account for the monster tape's influence on the stats. The displayed value does not account for the signature species boost.

	<math>\text{CharacterStat} = \text{floor}\left[\frac{2 \times \text{CharacterBaseStat} \times (1 + b) \times (\text{Level} + 33)}{~~10000~~}\right] + 5 </math>		<math>\text{CharacterStat} = \text{floor}\left[\frac{2 \times \text{CharacterBaseStat} \times (1 + b) \times (\text{Level} + 33)}{100}\right] + 5 </math>

	Here <math display="inline">b=0.1 </math> if the tape matches the character's signature species, otherwise <math>b=0 </math>. The Max HP character stat also determines the maximum backing or overspill health the character has, if applicable.		Here <math display="inline">b=0.1 </math> if the tape matches the character's signature species, otherwise <math>b=0 </math>. The Max HP character stat also determines the maximum backing or overspill health the character has, if applicable.

			This can also be calculated by using the combined stat formula and setting <math>\text{MonsterStat}</math> to 100.

	====Combined ====		====Combined ====
Line 138:		Line 140:
	This is the formula for the stat numbers shown below monster tape while checking a character in the party menu. These values account for both the monster tape and character's influence on the stats. Passives such as [[Shear Luck]] and [[Sugar Rush]] are calculated as part of the monster tape's stats but their effects are not displayed when checking the tape in the Party menu.		This is the formula for the stat numbers shown below monster tape while checking a character in the party menu. These values account for both the monster tape and character's influence on the stats. Passives such as [[Shear Luck]] and [[Sugar Rush]] are calculated as part of the monster tape's stats but their effects are not displayed when checking the tape in the Party menu.

	<math>\text{CombinedStat} = \text{floor}\left[\frac{2 \times \text{CharacterBaseStat} \times \text{MonsterStat} \times (\text{Level} + 33)}{10000}\right] + 5</math>		<math>\text{CombinedStat} = \text{floor}\left[\frac{2 \times \text{CharacterBaseStat} \times (1+b) \times \text{MonsterStat} \times (\text{Level} + 33)}{10000}\right] + 5</math>

	For chance stats such as Accuracy and Evasion,		For chance stats such as Accuracy and Evasion,

Lerycide at 16:27, 14 February 2024

2024-02-14T16:27:33Z

← Older revision		Revision as of 16:27, 14 February 2024
Line 168:		Line 168:
	\displaystyle \sum_{k=1}^{\text{count}} \text{BaseStat}_k & \text{for base Max HP}, \\		\displaystyle \sum_{k=1}^{\text{count}} \text{BaseStat}_k & \text{for base Max HP}, \\
	\displaystyle 100 \times \prod_{k=1}^{\text{count}} \frac{\text{BaseChanceStat}}{100} & \text{for Accuracy and Evasion}, \\		\displaystyle 100 \times \prod_{k=1}^{\text{count}} \frac{\text{BaseChanceStat}}{100} & \text{for Accuracy and Evasion}, \\
	\displaystyle \text{floor}\left[\dfrac{\text{count + 1}}{\text{count}}\sum_{k=1}^{\text{count}} \text{BaseStat}_k \left(1 + \frac{\text{RelationshipLevel}}{20}\right) \right] & \text{otherwise}		\displaystyle \text{floor}\left[\dfrac{\text{count + 1}}{2 \times \text{count}}\sum_{k=1}^{\text{count}} \text{BaseStat}_k \left(1 + \frac{\text{RelationshipLevel}}{20}\right) \right] & \text{otherwise}
	\end{cases}		\end{cases}
	</math>		</math>

Lerycide: /* Fusion */ fixed error in a factor

2024-02-14T14:07:30Z

Fusion: fixed error in a factor

← Older revision		Revision as of 14:07, 14 February 2024
Line 168:		Line 168:
	\displaystyle \sum_{k=1}^{\text{count}} \text{BaseStat}_k & \text{for base Max HP}, \\		\displaystyle \sum_{k=1}^{\text{count}} \text{BaseStat}_k & \text{for base Max HP}, \\
	\displaystyle 100 \times \prod_{k=1}^{\text{count}} \frac{\text{BaseChanceStat}}{100} & \text{for Accuracy and Evasion}, \\		\displaystyle 100 \times \prod_{k=1}^{\text{count}} \frac{\text{BaseChanceStat}}{100} & \text{for Accuracy and Evasion}, \\
	\displaystyle \text{floor}\left[\dfrac{\text{count}}{\text{count ~~+ 1~~}}\sum_{k=1}^{\text{count}} \text{BaseStat}_k \left(1 + \frac{\text{RelationshipLevel}}{20}\right) \right] & \text{otherwise}		\displaystyle \text{floor}\left[\dfrac{\text{count + 1}}{\text{count}}\sum_{k=1}^{\text{count}} \text{BaseStat}_k \left(1 + \frac{\text{RelationshipLevel}}{20}\right) \right] & \text{otherwise}
	\end{cases}		\end{cases}
	</math>		</math>

Lerycide at 11:42, 24 January 2024

2024-01-24T11:42:52Z

← Older revision		Revision as of 11:42, 24 January 2024
Line 117:		Line 117:
	<math>\text{grow}(\text{s}, \text{grade}) = \text{floor}\left[\frac{(100 + 2\text{s} \times \text{min}(\text{grade}, 5))}{100}\right]</math>		<math>\text{grow}(\text{s}, \text{grade}) = \text{floor}\left[\frac{(100 + 2\text{s} \times \text{min}(\text{grade}, 5))}{100}\right]</math>

	<math>\text{modify}(\text{s}, \text{stickers}) = \text{floor}\left[\text{s} \times \prod\limits_{\text{m} \in \text{stickers}} \left( \frac{~~100 +~~ \text{AttributeValue}_\text{m}}{100} \times \text{StatModifier}_\text{m} \right) \right]</math>		<math>\text{modify}(\text{s}, \text{stickers}) = \text{floor}\left[\text{s} \times \prod\limits_{\text{m} \in \text{stickers}} \left( \frac{\text{AttributeValue}_\text{m} + 100}{100} \times \text{StatModifier}_\text{m} \right) \right]</math>

	In battle, the <math display="inline">\text{modify}</math> function is not applied here and is handled separately instead. The <math display="inline">\text{StatModifier}</math> is equal to the multiplier from moves such as [[Shear Luck]] or [[Sugar Rush]] if applicable and is set to 1 otherwise.		In battle, the <math display="inline">\text{modify}</math> function is not applied here and is handled separately instead. The <math display="inline">\text{StatModifier}</math> is equal to the multiplier from moves such as [[Shear Luck]] or [[Sugar Rush]] if applicable and is set to 1 otherwise.

Lerycide: /* Monster Tape */ Renamed variable to StatModifier for clarity

2024-01-24T11:31:18Z

Monster Tape: Renamed variable to StatModifier for clarity

← Older revision		Revision as of 11:31, 24 January 2024
Line 117:		Line 117:
	<math>\text{grow}(\text{s}, \text{grade}) = \text{floor}\left[\frac{(100 + 2\text{s} \times \text{min}(\text{grade}, 5))}{100}\right]</math>		<math>\text{grow}(\text{s}, \text{grade}) = \text{floor}\left[\frac{(100 + 2\text{s} \times \text{min}(\text{grade}, 5))}{100}\right]</math>

	<math>\text{modify}(\text{s}, \text{stickers}) = \text{floor}\left[\text{s} \times \prod\limits_{\text{m} \in \text{stickers}} \left( \frac{100 + \text{AttributeValue}_\text{m}}{100} \times \text{~~StatMultiplier~~}_\text{m} \right) \right]</math>		<math>\text{modify}(\text{s}, \text{stickers}) = \text{floor}\left[\text{s} \times \prod\limits_{\text{m} \in \text{stickers}} \left( \frac{100 + \text{AttributeValue}_\text{m}}{100} \times \text{StatModifier}_\text{m} \right) \right]</math>

	In battle, the <math display="inline">\text{modify}</math> function is not applied here and is handled separately instead. The <math display="inline">\text{~~StatMultiplier~~}</math> ~~yields~~ the multiplier ~~for~~ moves such as [[Shear Luck]] or [[Sugar Rush]] if applicable and is set to 1 otherwise.		In battle, the <math display="inline">\text{modify}</math> function is not applied here and is handled separately instead. The <math display="inline">\text{StatModifier}</math> is equal to the multiplier from moves such as [[Shear Luck]] or [[Sugar Rush]] if applicable and is set to 1 otherwise.

	For accuracy and evasion, since they are unaffected by the tape grade, the formula is instead		For accuracy and evasion, since they are unaffected by the tape grade, the formula is instead

Lerycide: /* Combined */ Fixed an error with an equation

2024-01-21T08:34:46Z

Combined: Fixed an error with an equation

← Older revision		Revision as of 08:34, 21 January 2024
Line 130:		Line 130:
	This is the formula for the character stat, which can be viewed below the character (player or partner) when checking them in the party menu. These values do not account for the monster tape's influence on the stats. The displayed value does not account for the signature species boost.		This is the formula for the character stat, which can be viewed below the character (player or partner) when checking them in the party menu. These values do not account for the monster tape's influence on the stats. The displayed value does not account for the signature species boost.

	<math>\text{CharacterStat} = \text{floor}\left[\frac{2 \times \text{CharacterBaseStat} \times (~~100~~ + b) \times (\text{Level} + 33)}{10000}\right] + 5 </math>		<math>\text{CharacterStat} = \text{floor}\left[\frac{2 \times \text{CharacterBaseStat} \times (1 + b) \times (\text{Level} + 33)}{10000}\right] + 5 </math>

	Here <math display="inline">b=10 </math> if the tape matches the character's signature species, otherwise <math>b=0 </math>. The Max HP character stat also determines the maximum backing or overspill health the character has, if applicable.		Here <math display="inline">b=0.1 </math> if the tape matches the character's signature species, otherwise <math>b=0 </math>. The Max HP character stat also determines the maximum backing or overspill health the character has, if applicable.

	====Combined ====		====Combined ====
Line 153:		Line 153:
	and so the formulas for obtaining the final stat in battle is as follows:		and so the formulas for obtaining the final stat in battle is as follows:

	<math>\text{CombinedBattleStat} = \text{floor}\left[\frac{2 \times \text{CharacterBaseStat} \times \text{BattleMonsterStat} \times (\text{Level} + 33)}{10000}\right] + 5</math>		<math>\text{CombinedBattleStat} = \text{floor}\left[\frac{2 \times \text{CharacterBaseStat} \times (1+b) \times \text{BattleMonsterStat} \times (\text{Level} + 33)}{10000}\right] + 5</math>

	<math>\text{FinalStat} = \text{modify}(\text{CombinedStat}, \text{stickers}) \times \text{StatStageMultiplier} \times \text{StatusMultiplier}</math>		<math>\text{FinalStat} = \text{modify}(\text{CombinedStat}, \text{stickers}) \times \text{StatStageMultiplier} \times \text{StatusMultiplier}</math>