GC2 formulae

GC2_formulae.txt

Gem combination:

Grade difference = 0:
	gem.damageMin                      0.83  0.71      1.2 * rand()
	gem.damageMax                      0.87  0.71      2.4 * rand()
	gem.range                          0.694 0.388
	gem.reloadingSpeed                 0.74  0.44
	gem.bloodBoundRatioPerHitStep      0.78  0.31
	gem.slowPower                      0.81  0.35
	gem.poisonDamage                   0.96  0.85
	gem.critHitChance                  0.81  0.35
	gem.critHitMultiplier              0.88  0.5
	gem.chainHitLengthPower            0.88  0.5
	gem.manaGainPerHit                 0.88  0.5
	gem.armorReduceAmountPerHit        0.94  0.69
	gem.poolBoundPower                 0.87  0.38
	gem.regenSuppressingAmount         0.96  1.91

Grade difference = 1:
	gem.damageMin                      0.82  0.70      0.9 * rand()
	gem.damageMax                      0.86  0.70      2.0 * rand()
	gem.range                          0.80  0.25
	gem.reloadingSpeed                 0.80  0.25
	gem.bloodBoundRatioPerHitStep      0.79  0.29
	gem.slowPower                      0.80  0.28
	gem.poisonDamage                   0.97  0.62
	gem.critHitChance                  0.80  0.28
	gem.critHitMultiplier              0.88  0.44
	gem.chainHitLengthPower            0.90  0.47
	gem.manaGainPerHit                 0.89  0.44
	gem.armorReduceAmountPerHit        0.95  0.57
	gem.poolBoundPower                 0.87  0.38
	gem.regenSuppressingAmount         0.92  1.13

Grade difference > 1:
	gem.damageMin                      0.81  0.69      0.7 * rand()
	gem.damageMax                      0.85  0.69      1.8 * rand()
	gem.range                          0.92  0.09
	gem.reloadingSpeed                 0.92  0.09
	gem.bloodBoundRatioPerHitStep      0.80  0.27
	gem.slowPower                      0.79  0.26
	gem.poisonDamage                   0.98  0.42
	gem.critHitChance                  0.79  0.26
	gem.critHitMultiplier              0.88  0.44
	gem.chainHitLengthPower            0.92  0.44
	gem.manaGainPerHit                 0.90  0.38
	gem.armorReduceAmountPerHit        0.96  0.45
	gem.poolBoundPower                 0.87  0.38
	gem.regenSuppressingAmount         0.92  0.73

	combined = c1*best + c2*worst + ( random part for damage )

	Combined gem (min/max)damage can't go lower than the parent's.
	Very low special values get thrown away.


Poolbound (per MP) real value:
	Poolbound = 0.12 * (-1 + log(3.7 + pbound * (1 + TC_SKILL) * (1 + PB_SKILL[1])) / log(3.7) * (1 + PB_SKILL[0]))
	if(Poolbound > 8)
		Poolbound = 7 + pow(Poolbound - 7,0.7)


Slow power:
	SlowRatio = boundMult * (1 - pow(1 + slowPower/2, -0.37))
	capped at 90%


Chain hit length:
	ChainHitLength = boundMult * log(3.7 + chainHitPower) / log(3.7) * (1 + CH_SKILL[0])
	if(ChainHitLength > 8)
		ChainHitLength = 7 + pow(ChainHitLength - 7, 0.7)


Second part of component skill is always applied at the end of the conversion, together with True Colors.


WL exp needed for lv L:
	PlusXp  = 235 +   9 * (L - 1) + 3 * (L - 1)^2
	TotalXp = 240 + 240 * (L - 1) + 6 * (L - 1)^2 + (L - 1)^3


Monster exp:
	
	mExp = log(monster.hpMax + 1) / log(12)
	mExp = mExp * log(monster.armor + 1) / log(9)
	mExp = mExp * pow(1.007,monster.shield)
	mExp = mExp * pow(1.017,monster.speedMax)
	
	if(Giant)     mExp = mExp * 1.38
	if(Swarmling) mExp = mExp * 0.583
	
	mExp = mExp + 2


Beacon exp:
	xpValue = (70 + WaveNumber * 9) * (1 + rand() * 0.2)
	Beacons that are already on field are counted as generated from Wave 0
	Endurance resets the WaveNumber counter to 1


Waves properties:
	A demolition is given every 20 waves
	
	Hp = F.HpFirstWave * pow((F.HpMult - 0.003) * [1,1.02,1.04][battleDifficulty] * (1 + HATRED), numWave)
	if(isEndurance)
		Hp = (Hp + 6) * 1.12 * pow(1.042, EnduranceWavesNum) + EnduranceWavesNum * 10;

	ArmorLevel = [0,15,30][battleDifficulty] + F.armorFirstWave + round((1 + rand()) * F.armorIncrement * [1,1.25,1.4][battleDifficulty] * max(0, WaveNum - 3))
	if (isEndurance)
		ArmorLevel = ArmorLevel * 1.36 * Math.pow(1.025, EnduranceWavesNum)

	if (isGiant) {
		Hp = Hp * 5 / Wave.numOfMonsters * 0.67 * 37.3 * (1 + GIANT_DOMINATION)
		ArmorLevel = (ArmorLevel + 4.2) * 2.47 * 0.52 * (1 + GIANT_DOMINATION)
	}
	if (isSwarmling) {
		Hp = Hp * 0.187
		ArmorLevel = ArmorLevel * 0.574
	}

Mana pool initial values:
	manaPoolLevel = 1
	maxMana = 1200

Mana pool extension:
	manaPoolLevel += 1
	maxMana *= 1.41 + 0.035 * manaPoolLevel
	manaReplenishMultiplier    += 0.272
	manaPoolXpGainMultiplier   += 0.03
	manaPoolManaGainMultiplier += 0.04

Enrage:
	Reavers_summoned    = pow(gem.grade,1.2) * 4 + 4
	Giants_summoned     = Reavers_summoned * 0.2
	Swarmlings_summoned = Reavers_summoned * 1.5

	XP = base_XP * (1+FURYEXP)                      // one time ONLY
	HpDelta    = (gem.grade * 0.03 + 0.1) * wave.hp * (1 - FURYRED)
	ArmorDelta = max(2, 0.24 * wave.armorLevel * (1 - FURYRED))


Endurance wave composition:
	Swarms_fraction = 0.15 + 0.05 * swarms_dom
	Giants_fraction = 0.15 + 0.05 * giants_dom
	Reaver_fraction = 1 - Giants_fraction - Swarms_fraction


Sparks:
	Appears only after Wave 5 and not as last wave.
	Probability of appearing is 13%.
	Type is completely random.
	If the rolled type is Wisdom, the spark does not appear.
	Wisdom sparks appear in waves multiple of 50


Talisman Rarity:
	Rarity = RarityMin + (RarityMax - RarityMin) * random() * random()
	it gets rolled 2 times and the worst roll is dropped


Gem refund:
	Mana_refunded = gem.value * 0.7


Gem bomb:
	Damage = gem.damageMax * (1 + DEMOLITION) * (3.4 + gem.grade * 2.9)
	Real_dmg = Damage/num_monsters*critmulti        // if crit procs
	Range = (47 + 2.6 * gem.grade) * (1 + DEMOLITION)


Useful numbers:
	monsterSpeedCap = 5
	bloodBoundFirstLevelHitsReq = 30
	bloodBoundLevelReqMult = 1.65


Used classes:
	ingame/ingameSpellcaster
	entity/Gem has the displayed values computation
	utils/calculator
	ingame/ingamePopulator has waves and sparks
	GV has several useful constants

gem_start_stats.txt

POISON
{
    damageMin = 5;
    damageMax = 10;
    poisonDamage = 1 * 8 * (1 + POISON[0]);
    range = 79;
    reloadingSpeed = 2.1;
}
CRITHIT
{
    damageMin = 4;
    damageMax = 11;
    critHitChance = 0.111 * (1 + CRITHIT[0]);
    critHitMultiplier = 0.35 * (1 + CRITHIT[0]);
    range = 78;
    reloadingSpeed = 2;
}
BLOODBOUND
{
    damageMin = 4;
    damageMax = 13;
    bloodBoundRatioPerHitStep = 0.012 * 3 * (1 + BLOODBOUND[0]);
    range = 80;
    reloadingSpeed = 2;
}
SLOWING
{
    damageMin = 5;
    damageMax = 12;
    slowPower = 1.04;
    range = 77;
    reloadingSpeed = 2.1;
}
CHAIN_HIT
{
    damageMin = 6;
    damageMax = 10;
    chainHitLengthPower = 1.01;
    range = 78;
    reloadingSpeed = 2.2;
}
MANA_LEECHING
{
    damageMin = 4;
    damageMax = 8;
    manaGainPerHit = 0.13 * 3 * (1 + MANA_LEECHING[0]);
    range = 77;
    reloadingSpeed = 1.8;
}
ARMOR_TEARING
{
    damageMin = 3;
    damageMax = 11;
    armorReduceAmountPerHit = 1.73 * (1 + ARMOR_TEARING[0]);
    range = 73;
    reloadingSpeed = 2.2;
}
SUPPRESSING
{
    damageMin = 3;
    damageMax = 12;
    regenSuppressingAmountPerHit = 13.3 * (1 + SUPPRESSING[0]);
    range = 75;
    reloadingSpeed = 2.1;
}
POOLBOUND
{
    damageMin = 4;
    damageMax = 12;
    poolBoundPower = 1.01;
    range = 76;
    reloadingSpeed = 2.2;
}
damageMin = damageMin * 2;
damageMax = damageMax * 2;
range = range * (1 + RESONANCE[1]);
damageMin = damageMin * (1 + RESONANCE[0]);
damageMax = damageMax * (1 + RESONANCE[0]);

Is it the same for GCL? If not, do you have formulas for GCL?

Sorry, no formulae for GCL.

I know the general architecture is similar, but the precise coefficients are most likely all different.

What units you are using for ranges?
The mana leeching gem has range 77 but the game shows range as '4.5'