80% → 0.80Percent-style sheet stats enter combat math as fractions.
Research / formulas
Formula archive
Every combat expression currently safe to publish for Digimon UP, arranged in the order a player experiences it. Plain-language explanations come first; native method and RVA citations remain one click away.
28confirmed combat formulas
41confirmed formulas in the full archive
3combat gaps kept explicitly unresolved
Start here
How to read the notation
You do not need to know code. These conventions cover the archive.
DThe damage entering the current step—not a separate hidden stat.
max(0, x)Use x when positive; otherwise use zero. A bonus cannot become a penalty.
random(0, 1)A roll from 0 to 1. A 0.25 rate is a 25% chance before subtraction.
damage *= valueMultiply the damage carried forward from the previous step.
trunc(value)Drop the fractional part at that exact point in the formula.
Confirmed native order
One hit, from check to result
Branches only run when their stated condition is true. The game does not apply every box to every hit.
- Gate
Evade
Unless the incoming hit is already a Counter, Evasion is checked first. A successful evade stops the damage and later post-hit checks.
(EvadeRate - EvadeRateDecrease) > random(0, 1) - 01
Start from final ATK
The hit copies the attacker’s already-computed final ATK. Building that final sheet stat from every account source is still unresolved.
initialDamage = finalAttack - 02
Defense
Defense applies its curve to the incoming value D.
afterDefense = D^2 / (D + Defense) - 03
Boss-attacker mitigation
Only when the attacker’s character type is Boss, Boss Damage DOWN divides the post-Defense result.
damage *= 1 / (1 + BossDamageReduction) - 04
Matching attack-type layers
Normal, Skill, Combo, Counter, or Support/Pet Damage applies, followed by its separate Damage UP layer.
damage *= 1 + max(0, typeDamage - typeDamageDown - DamageDown)damage *= 1 + max(0, typeDamageUp - typeDamageResist) - 05
Skill or Support/Pet branch
Skills consume a positive coefficient. Support/Pet hits instead receive their extra Normal Attack Damage multiply.
if skillCoefficient > 0: damage *= skillCoefficientpetDamage *= 1 + attackerNormalDamage - 06
Outgoing Boss Damage
Non-Pet attackers multiply by Boss Damage when the target is a Boss or EpicMonster.
damage *= 1 + BossDamage - 07
Critical damage
Only after the matching critical-rate roll succeeds. SkillAttack and non-skill hits use different critical branches.
(1.5 + max(0, CriticalDamage - CriticalDamageDown)) * (1 + max(0, CriticalDamageUp - CriticalDamageResist))1.5 + max(0, SkillCriticalDamage - SkillCriticalDamageDown) - 08
Round, shield, then HP
The standard path floors positive damage, spends shield against it first, then subtracts the remainder from HP unless Ignore Damage is active.
if damage != 0 and trunc(damage) == 0: damage = 1rounded = floor(damage); absorbed = min(shield, rounded); shieldAfter = shield - absorbed; hpLoss = IgnoreDamage ? 0 : rounded - absorbed
After a connected hit
Stun is attempted before Airborne. A successful Stun skips the Airborne attempt. The defender may then roll a separate Counter, and the attacker may roll on-hit HP Recovery. Combo is an eligible normal attacker’s separate follow-up roll.
Complete formula index
Browse confirmed formulas
Showing 12 of 41 matching formulas
Verified in client codeTM & Crests
Tactical Memory shown main stat
A Tactical Memory's displayed main stat scales from its rolled raw value, grade, and current enhancement level.
shown = raw * gradeRate * (level + 1)
Important: Use the value currently shown on an upgraded piece when checking its original roll; the inverse tool accounts for the current level.
Research evidence (3)
tp.RuneInfoParam.MakeOptionRVA 0xCD202C
tp.UIRuneInfoPopup.SetDataRVA 0x1026F00
AST literal extraction from existing shareable research output
Archive key: tactical-memory-main-stat
Verified in client codeTM & Crests
Tactical Memory XP transfer
A sacrificed Tactical Memory returns its accumulated level XP, current partial XP, and base feed value after one loss rate for its current level is applied to the whole amount.
(currentExp + sum(BaseExp + ExtraExp * levelStep) + SellBaseExp) * (1 - lossRateAtSourceLevel)
Important: The target rarity does not enter this calculation; it only determines how far the returned XP moves the target along its own BaseExp + ExtraExp * level curve. The server finalizes the reinforcement request.
Research evidence (3)
gd:RuneGradeOption+RuneLossExp
tp.DataInfoRuneGradeOption.GetExpRVA 0xD31BB8
tp.RuneInfoParam.GetTotalExpRVA 0xCD21B0
Archive key: tactical-memory-xp-transfer
Verified in client codeTM & Crests
Crest fixed base stat
A Crest fixed base stat multiplies the stored value by its rate and current level plus one.
statValue * rate * (curLevel + 1)
Research evidence (1)
Crest fixed-stat calculationRVA 0xD547B4
Archive key: crest-base-stat
Verified in client codeTM & Crests
Crest fixed additional stat
A Crest fixed additional stat scales by current level plus one without the extra rate term.
statValue * (curLevel + 1)
Research evidence (1)
Crest additional-stat calculationRVA 0xD547D8
Archive key: crest-additional-stat
Verified in client codeDamage core
A hit starts from final ATK
The combat object copies the attacker's already-computed ATK into the hit's starting damage value.
initialDamage = finalAttack
Important: This confirms the start of a hit, not the account-wide formula that builds final ATK from levels, bonuses, gear, and buffs.
Research evidence (1)
tp.SimulateDamageInfo.SetAttackerStatRVA 0x10610D8
Archive key: initial-damage-from-attack
Verified in client codeDamage core
Base character stat by level
For each of the 54 stats, the base row is added once, the level-growth row is added for every level after the first, and the result is scaled by statRatio.
level 0: 0; level >= 1: (previousStat + baseStat + levelStat * (level - 1)) * statRatio
Important: previousStat is the value already present in the output array. This confirms the base/level calculation, not the later account-wide merge of equipment, collections, buffs, and bonus stats.
Research evidence (2)
tp.DataFormula.getStatRVA 0xCB5758
tp.DataFormula.ComputeStatRVA 0xCB0B34
Archive key: base-stat-at-level
Verified in client codeDamage core
Attack and Defense after Bonus
Attack and Defense multiply their raw value by one plus the matching Attack Bonus or Defense Bonus stat.
max(0, rawStat * (1 + matchingBonus))
Important: This confirms the final matching-Bonus step inside StatsInfo.GetStat. It does not fill in the still-unresolved account-wide merge that supplies the raw player stat.
Research evidence (1)
tp.StatsInfo.GetStatRVA 0xCAF99C
Archive key: core-stat-with-bonus
Verified in client codeEncounter levels
Normal Stage enemy level
The normal Stage banner displays the global sector count; the Stage combat branch gives enemies one level above that displayed number.
enemyLevel = displayedStageNumber + 1
Important: Example: Stage 4000 uses enemy level 4001.
Research evidence (2)
tp.UIStageInfo.SetDataRVA 0x10CF54C
tp.DataUtil.GetMobLevelRVA 0x11926C0
Archive key: stage-enemy-level
Verified in client codeEncounter levels
Crest floor enemy level
The Crest screen passes its displayed one-based floor into the enemy-level formula, using the confirmed base level 180 and increase of 10.
enemyLevel = 180 + floor * 10
Important: Example: Crest floor 23 uses enemy level 410.
Research evidence (3)
gd:SpawnData:crest-levels
Crest floor launch handlerRVA 0x103DB54
tp.DataUtil.GetMobLevelRVA 0x11926C0
Archive key: crest-enemy-level
Verified in client codeTM & Crests
Hologram equipment fixed stat
Each fixed stat on Hologram equipment starts at its ItemStat base value at level 1, then adds the linked per-level value for every level after the first.
level 0: 0; level >= 1: baseValue + levelValue * (level - 1)
Important: The item stores its own level, with a client-configured maximum of 500. Hologram Device level controls the separate 30-level unlock/probability table.
Research evidence (3)
tp.ItemInfoBase.GetStatStringRVA 0xD02B44
tp.DataFormula.getStatRVA 0xCB5758
gd:OtherDataOne:equipment-levels
Archive key: hologram-equipment-fixed-stat
Verified in client codeTM & Crests
Hologram equipment bonus roll
A rolled bonus stat uses its OptionSet base value plus its per-level value multiplied by the item's level.
optionValue = BaseValue + LevelValue * itemLevel
Important: Every v1.0.4 Hologram OptionSet row has LevelValue 0, so each bonus roll is constant across item levels in this version. Rarity still changes the value.
Research evidence (2)
tp.DataInfoOptionSet.GetValueRVA 0xD2AC38
tp.ItemInfoParam.GenerateItemOptionRVA 0xCD0474
Archive key: hologram-equipment-option-value
Verified in client codeTM & Crests
Digivice part stat by level
An equipped Digivice part starts at its BuffStat base value at level 1 and adds the linked growth value for each later level.
level 0: 0; level >= 1: baseValue + levelValue * (level - 1)
Important: The site models only the selectable Gear Effect equipped in each of the six sockets.
Research evidence (3)
tp.UIDigivicePartsInfo.SetInfoRVA 0xFE87F8
tp.BuffTextStat.GetValuesRVA 0x115F810
tp.DataFormula.getStatRVA 0xCB5758
Archive key: digivice-part-stat
Publication boundary
What is still unknown
Incomplete layers stay visible so they are never silently treated as zero.
How the account builds final ATK
Hit initialization from the final ATK stat is confirmed, but the complete level, equipment, bonus, collection, and buff aggregation that produces final ATK is not recovered as one safe closed form.
Damage reduction maximum
The metadata field exists but no confirmed table value/native fallback is published here.
Combo Chance DOWN at the proc check
ComboRateDecrease exists as a stat, but the confirmed normal-attack combo roll reads ComboRate only. No separate runtime subtraction site has been proven, so the archive does not claim that Combo Chance DOWN changes this roll.
server reward resolution
Server reward selection and account state cannot be established from client tables.
farm growing bonus duration
GrowingBonus is ConvertPercent'd on FarmBuilding load and shown in tables, but no client GetValue(GrowingBonus) call site was found; planted duration appears server-set.
farm bonus reward payout
FarmBonusRewardRate = 50 is confirmed and shown on TimeReward FarmBonusReward (GetTimeRewardDesc). GetFarmHarvestAmount does not apply it; the Farm Lab applies +50% after building HarvestBonus when the pass toggle is on.