How is Sacred 2 Weapon Damage Calculated

Maneus · September 6

On the topic of damage conversion. The Temple Guardian's spell Primal Mutation has two entries (modifications) that give damage conversion.

Quote

entry4 = {"et_physical_to_fire", 500, 20, 1, 5 },
entry5 = {"et_physical_to_magic", 500, 20, 2, 5 },

These appear to work as expected, which is explained here https://darkmatters.org/forums/index.php?/topic/18511-how-is-sacred-2-weapon-damage-calculated/&do=findComment&comment=7145649

I'll think about adding support for damage conversion entries to the calculator.

Edit: Actually, there is a difference. In the inventory screen and combat art tooltip, the intelligence bonus is correctly applied to the already converted damage. There is no discrepancy between the inventory screen/tooltip and the actual damage dealt, which is generally (but not always) the case with spells.

Edit: Damage conversion, given through a CA entry, works on regular spell damage, essence spell damage and spell damage against a creature type. It does not work on DOT damage.

Entries with the same name are merged together into one, instead of being two separate instances of damage conversion. For example:

Spoiler

{"et_physical_to_fire", 1000, 0, 0, 5 }
{"et_physical_to_fire", 1000, 0, 0, 5 }

The two entries above are merged together into one:

{"et_physical_to_fire", 2000, 0, 0, 5 }

ConversionMultiplier = ValueOfBonus / (ValueOfBonus + 1000)
ConversionMultiplier = 2000 / (2000 + 1000)
ConversionMultiplier = 2000 / 3000
ConversionMultiplier = 0.6666666666666667

Edited September 7 by Maneus

Flix · September 6

On 9/4/2024 at 11:34 AM, Maneus said:

The mods changed the "advanced" flag from 1 to 0. But this wouldn't explain why you encountered enemies with Ancient Magic Mastery before level 225.

IIRC any enemy skills set to advanced=1 stopped functioning. I did not test every skill, but I distinctly recall Toughness not functioning on elite Blade Spiders. This was because it was set to advanced=1, and when I changed it advanced=0, I immediately saw the armor values appear on the creature. This was the catalyst for setting enemy skills to advanced=0.

For the player characters, advanced=1 simply places the skill in the right hand column, requiring more skills points invested in "non-advanced" skills to unlock them.

SLD · September 7

I just read something about a fist fighting character which made me wonder, how much base damage the fists do. So I came over to this thread thinking it's definitely in here somewhere. After searching every page for "unarmed"/"fist" and opening some of the related spoilers etc. I couldn't find anything on this.
I found the info that Fists do have a base damage and that their "weapon level" for attribute bonus calculations is equal to the character level. But even the first tests already get to the base fist damage by subtracting the attribute bonus, meaning without an actual character to look up the attribute bonus and combined damage, there is no way of determining the fist base damage yet.

Did I miss something?
Otherwise it would be another thing to investigate.
We know higher level characters also have higher fist damage, wether that is a direct or indirect(attributes) result. I suspect, that some of the global stuff that also goes into determining how weapons scale with level might have an effect.

And as always, this is just inspiration, I don't really need this info, don't currently plan on making such a character build or anything, so there's absolutely no urgency/priority on figuring this out.
Its just a thing I stumbled upon and was surprised the answer wasn't in here already.

Maneus · September 7

1 hour ago, SLD said:

I just read something about a fist fighting character which made me wonder, how much base damage the fists do. So I came over to this thread thinking it's definitely in here somewhere. After searching every page for "unarmed"/"fist" and opening some of the related spoilers etc. I couldn't find anything on this.
I found the info that Fists do have a base damage and that their "weapon level" for attribute bonus calculations is equal to the character level. But even the first tests already get to the base fist damage by subtracting the attribute bonus, meaning without an actual character to look up the attribute bonus and combined damage, there is no way of determining the fist base damage yet.

Did I miss something?
Otherwise it would be another thing to investigate.
We know higher level characters also have higher fist damage, wether that is a direct or indirect(attributes) result. I suspect, that some of the global stuff that also goes into determining how weapons scale with level might have an effect.

And as always, this is just inspiration, I don't really need this info, don't currently plan on making such a character build or anything, so there's absolutely no urgency/priority on figuring this out.
Its just a thing I stumbled upon and was surprised the answer wasn't in here already.

For all character classes, except the High Elf:

Fist damage starts at 10 (level 1) and ends at 148 (level 200).

Table:

Spoiler

Level   Damage
1   10
2   10
3   11
4   12
5   12
6   13
7   14
8   14
9   15
10   16
11   17
12   17
13   18
14   19
15   20
16   20
17   21
18   22
19   22
20   23
21   24
22   24
23   25
24   26
25   26
26   27
27   28
28   28
29   29
30   30
31   30
32   31
33   32
34   32
35   33
36   34
37   35
38   35
39   36
40   37
41   38
42   38
43   39
44   40
45   40
46   41
47   42
48   42
49   43
50   44
51   44
52   45
53   46
54   46
55   47
56   48
57   48
58   49
59   50
60   51
61   51
62   52
63   53
64   54
65   54
66   55
67   56
68   56
69   57
70   58
71   58
72   59
73   60
74   60
75   61
76   62
77   62
78   63
79   64
80   64
81   65
82   66
83   67
84   67
85   68
86   69
87   69
88   70
89   71
90   72
91   72
92   73
93   74
94   74
95   75
96   76
97   76
98   77
99   78
100   78
101   79
102   80
103   80
104   81
105   82
106   82
107   83
108   84
109   85
110   85
111   86
112   87
113   88
114   88
115   89
116   90
117   90
118   91
119   92
120   92
121   93
122   94
123   94
124   95
125   96
126   96
127   97
128   98
129   98
130   99
131   100
132   101
133   101
134   102
135   103
136   103
137   104
138   105
139   106
140   106
141   107
142   108
143   108
144   109
145   110
146   110
147   111
148   112
149   112
150   113
151   114
152   114
153   115
154   116
155   116
156   117
157   118
158   119
159   119
160   120
161   121
162   122
163   122
164   123
165   124
166   124
167   125
168   126
169   126
170   127
171   128
172   128
173   129
174   130
175   130
176   131
177   132
178   132
179   133
180   134
181   135
182   135
183   136
184   137
185   137
186   138
187   139
188   140
189   140
190   141
191   142
192   142
193   143
194   144
195   144
196   145
197   146
198   146
199   147
200   148

For the High Elf:

Fist damage starts at 8 (level 1) and ends at 129 (level 200).

I don't have a table.

I could not find any parameters that directly affect the fist damage.

SLD · September 7

10 hours ago, Maneus said:

I could not find any parameters that directly affect the fist damage.

Wow, that comes as a surprise. Thanks for looking into that anyway.
From the table it looks somewhat like 10 +0.69 per further level, rounded down. So we kinda do have a formula now.
The high elf could be around 12% less for both the base and the scaling again rounded down.

Nice to know, that High Elves are especially bad at fist fighting

Maneus · September 8

I've been playing around with the creature levels. Trying to figure out how the survival bonus affects them and how the level difference bonus works. The whole thing is a big mystery so far.

The highest creature level I can achieve is 240. With or without survival bonus. Allegedly, it is possible to go higher.

The wolves and elf bandits near Sloeford are definitely not spawned through spawn.txt. According to Flix:

On 7/20/2017 at 7:48 AM, Flix said:

While most enemies are set to spawn in spawn.txt (randomly, in packs), there are also many enemies that are hand placed via sector files. These enemies are always in the same place. The starting areas around Sloeford are full of such creatures.

The wolf that spawns near the resurrection monolith in Sloeford appears to have a minimum level of 1 and maximum level of 2. Without survival bonus, the level of the creature is equal to the character level, clamped by the min and max creature level. If your character is below the minimum creature level, then the creature will be at the minimum creature level. If your character is above the maximum creature level, then the creature will be at the maximum creature level. The survival bonus appears to increase the current creature level up to the maximum creature level, but I need to do more tests. The parameters Spawn_OffsetLow and Spawn_OffsetHigh are added to the creature's minimum and maximum level respectively.

There is a group of two wolves to the southwest of Sloeford (near the farms). One of them appears to have a min and max level of 1, while the other appears to have a min level of 1 and a max level of 2.

Testing with a level 200 character. Survival bonus set to 0%.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 238 makes both wolves level 239. (They are above the character level, so the minimum is used)
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 239 makes both wolves level 240.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 254 makes both wolves level 240 (still).
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 255 makes both wolves level 1. (I guess a creature's level cannot be 0 and is raised to 1 - this affects the first wolf).
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 256 makes the wolves level 1 and level 2.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 257 makes the wolves level 2 and level 3.

It appears that the game first calculates the minimum creature level (which can overflow), and then decides whether to add the difference between the minimum and maximum level.

For example: To the north of Khorum, the scarabs and blade spiders appear to have a minimum level of 17 and a maximum level of 32. Slightly further north, the same scarabs and blade spiders start spawning at minimum level of 18 and maximum level of 31. Let's call them GroupA (17-32) and GroupB (18-31).

Testing with a level 200 character. Survival bonus set to 0%.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 221 makes creatures of GroupA spawn at 238 and creatures of GroupB spawn at 239.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 222 makes creatures of GroupA spawn at 239 and creatures of GroupB spawn at 240.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 223 makes both groups level 240.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 237 makes both groups level 240 (still).
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 238 makes creatures of GroupA spawn at 240 and creatures of GroupB spawn at 13.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 239 makes creatures of GroupA spawn at 15 and creatures of GroupB spawn at 14.

GroupA change from 240 to 15, which is exactly the difference between the minimum and maximum (32 - 17 = 15).
GroupB change from 240 to 13, which is exactly the difference between the minimum and maximum (31 - 18 = 13).

Why these scarabs and blade spiders have exactly these level constraints? No idea. The values in region.txt don't match at all what is observed in-game and changing them appears to have no effect. Even deleting region.txt didn't change anything (at first glance).

In regard to the survival bonus, I still don't know how UBspawn_fact affects the creature levels.

In regard to the level difference bonus, the parameter DamScaleRatioMin determines how big the level difference must be to start applying the bonus. And the parameter DamScaleRatioMax determines the level difference at which the bonus reaches its maximum value. Then some non-linear function is used to determine how big the bonus must be for the given level difference, from 0 to DamScaleIncMax.

Similarly, there is a level difference penalty. It is not affected by the parameters mentioned above.

Examples:

Spoiler

Character level 200 vs creature level 236 does 100% of the damage.
Character level 200 vs creature level 237 does 84.9% of the damage.
Character level 200 vs creature level 238 does 84.6% of the damage.
Character level 200 vs creature level 239 does 84.2% of the damage.
Character level 200 vs creature level 240 does 83.9% of the damage.

Character level 1 vs creature level 240 does 4% of the damage.

Enough for now Gotta think things through.

Edit: Character level 200, survival bonus set to 0%, Spawn_OffsetLow and Spawn_OffsetHigh set to 230.
All creatures in the wastelands are level 240.
The non-elite demon mage summons a Burning Skeleton at 250 (+10 levels).
The elite demon mage summons a Burning Skeleton at 274 (+34 levels).

Edit: The survival bonus (via UBspawn_fact) appears to raise the minimum (?) creature level. The maximum creature level is still capped to 240, but it can overflow sooner.

The temple guardians (not all?) in the wastelands appear to have a minimum level of 24 and a maximum level of 38.
Without survival bonus.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 231 makes them level 240.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 232 makes them level 14.
So far so good.
With survival bonus (100%) and UBspawn_fact set to 1000.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 217 makes them level 240.
Setting Spawn_OffsetLow and Spawn_OffsetHigh to 218 makes them level 1.
This is very odd. I'll think about it some more.

Edited September 8 by Maneus

SLD · September 8

10 hours ago, Maneus said:

The non-elite demon mage summons a Burning Skeleton at 250 (+10 levels).
The elite demon mage summons a Burning Skeleton at 274 (+34 levels).

I think these exceptions are a result of the summoning combat art just creating creatures at the level that is set in the combat art. So the demons just got a combat art level that usually results in a summon of a slight bit above their level and the elite version got some extra levels on the combat art. In both cases the skeletons are just indirectly influenced via the zone and sb effects as the demons level is the basis for the combat art level.

10 hours ago, Maneus said:

This is very odd. I'll think about it some more.

Rest for a bit. The smoke coming out of your ears is not a good sign

Maneus · September 9

17 hours ago, SLD said:

Rest for a bit. The smoke coming out of your ears is not a good sign

I could probably power a steam engine :crazy_pilot:

The current theory is:

FinalMinCreatureLavel = MOD(BaseMinCreatureLevel + Spawn_OffsetLow, 256)

FinalMaxCreatureLevel = MOD(BaseMaxCreatureLevel + Spawn_OffsetHigh, 256)

TargetCreatureLevel = FLOOR(CharacterLevel * SurvivalBonusMultiplier)

AlmostFinalCreatureLevel = IF(TargetCreatureLevel < FinalMinCreatureLevel, FinalMinCreatureLevel, IF(TargetCreatureLevel > FinalMaxCreatureLevel, FinalMaxCreatureLevel, TargetCreatureLevel))

FinalCreatureLevel = CLAMP(AlmostFinalCreatureLevel, 1, 240)

Questions:

Where do BaseMinCreatureLevel and BaseMaxCreatureLevel come from?

How is SurvivalBonusMultiplier calculated? It is a function of the survival bonus (%) and UBspawn_fact, but it is not as simple as multiplying by the value of UBspawn_fact. The results aren't even close.

SLD · September 9

1 hour ago, Maneus said:

How is SurvivalBonusMultiplier calculated? It is a function of the survival bonus (%) and UBspawn_fact, but it is not as simple as multiplying by the value of UBspawn_fact. The results aren't even close.

The only really odd idea that I could come up with for this one is that survival bonus isn't a % value, but a giant amount of time. But that would be so absurd to base the formula on that, that I highly doubt I'm helping here
Are we sure the bonus is based on the enemy level and not the character level or a combination of both...

Im sorry I can only guess some bs here... I must admit I have not put in the work to understand any of the creature level testing you did above.

The best I can come up with to help with solving this, is giving a specific creature a sufficient max level and then look at the results of 2 or 3 different minlvls slammed with (25,33,50,66,75,100)% SB and a second set with a doubled UBspawn_fact.
Maybe do the same test with different character levels as well.
A lot of game starts, but in the end we got a nice table of results to do our guesswork on.

Please don't let my dumb ideas insult you intelligence. :connie_xmas-moose:

Maneus · September 10

On 9/9/2024 at 10:14 PM, SLD said:

The only really odd idea that I could come up with for this one is that survival bonus isn't a % value, but a giant amount of time. But that would be so absurd to base the formula on that, that I highly doubt I'm helping here

Remember this?

On 8/2/2024 at 11:56 PM, Maneus said:

The formula for the survival bonus (%) is:

SurvivalBonus = MIN(100, 0.2 * UBmean * alivetime / (alivetime + UBpivot))

It turns out that the formula is not capped when it comes to calculating the TargetCreatureLevel. The MIN operation is never performed. And guess what method I was using to manipulate my survival bonus? ...

After accounting for this, a rough formula begins to form:

TargetCreatureLevel = FLOOR(CharacterLevel * (1 + (UncappedSurvivalBonus * (UBspawn_fact / 1000) * 1.09))

Examples:

Spoiler

Edit: Using the updated formula.

CharacterLevel = 100
SurvivalBonus = 0.58 (58%)
UBspawn_fact = 175

TargetCreatureLevel = FLOOR(CharacterLevel * (1 + UncappedSurvivalBonus * UBspawn_fact * 0.001 * (CharacterLevel + 9) / CharacterLevel))
TargetCreatureLevel = FLOOR(100 * (1 + 0.58 * 175 * 0.001 * (100 + 9) / 100))
TargetCreatureLevel = FLOOR(100 * (1 + 0.001015 * 109))
TargetCreatureLevel = FLOOR(100 * (1 + 0.110635))
TargetCreatureLevel = FLOOR(100 * 1.110635)
TargetCreatureLevel = FLOOR(111.0635)
TargetCreatureLevel = 111 (Reference value is 111)

CharacterLevel = 200
SurvivalBonus = 0.58 (58%)
UBspawn_fact = 175

TargetCreatureLevel = FLOOR(CharacterLevel * (1 + UncappedSurvivalBonus * UBspawn_fact * 0.001 * (CharacterLevel + 9) / CharacterLevel))
TargetCreatureLevel = FLOOR(200 * (1 + 0.58 * 175 * 0.001 * (200 + 9) / 200))
TargetCreatureLevel = FLOOR(200 * (1 + 0.0005075 * 209))
TargetCreatureLevel = FLOOR(200 * (1 + 0.1060675))
TargetCreatureLevel = FLOOR(200 * 1.1060675)
TargetCreatureLevel = FLOOR(221.2135)
TargetCreatureLevel = 221 (Reference value is 221)

CharacterLevel = 100
SurvivalBonus = 0.29 (29%)
UBspawn_fact = 175

TargetCreatureLevel = FLOOR(CharacterLevel * (1 + UncappedSurvivalBonus * UBspawn_fact * 0.001 * (CharacterLevel + 9) / CharacterLevel))
TargetCreatureLevel = FLOOR(100 * (1 + 0.29 * 175 * 0.001 * (100 + 9) / 100))
TargetCreatureLevel = FLOOR(100 * (1 + 0.0005075 * 109))
TargetCreatureLevel = FLOOR(100 * (1 + 0.0553175))
TargetCreatureLevel = FLOOR(100 * 1.0553175)
TargetCreatureLevel = FLOOR(105.53175)
TargetCreatureLevel = 105 (Reference value is 105)

This is obviously not the complete formula. It's very likely that there are some roundings missing. And that constant (1.09) is suspicious.

Edit: As suspected, that constant (1.09) is not actually a constant. It is the result of some non-linear function. At character level 1, the value is ~10. At level 2, the value is ~5.5. At level 3, the value is ~4. And so on. I'll have to investigate.

Edited September 11 by Maneus

SLD · September 10

3 hours ago, Maneus said:

Remember this?

On 8/2/2024 at 10:56 PM, Maneus said:

The formula for the survival bonus (%) is:

SurvivalBonus = MIN(100, 0.2 * UBmean * alivetime / (alivetime + UBpivot))

It turns out that the formula is not capped when it comes to calculating the TargetCreatureLevel.

No way! I helped again :4rofl:

Maneus · September 11

7 hours ago, Maneus said:

Edit: As suspected, that constant (1.09) is not actually a constant. It is the result of some non-linear function. At character level 1, the value is ~10. At level 2, the value is ~5.5. At level 3, the value is ~4. And so on. I'll have to investigate.

Well, it's actually very simple:

(CharacterLevel + 9) / CharacterLevel

Now the formula becomes:

TargetCreatureLevel = FLOOR(CharacterLevel * (1 + UncappedSurvivalBonus * UBspawn_fact * 0.001 * (CharacterLevel + 9) / CharacterLevel))

I'll update the examples in my previous post.

Here are a few of the weird ones that threw me off:

Spoiler

Alivetime = 8838.46
UBmean = 10000 (Default is 500)
UBpivot = 21600

UncappedSurvivalBonus = 0.002 * UBmean * alivetime / (alivetime + UBpivot)
UncappedSurvivalBonus = 0.002 * 10000 * 8838.46 / (8838.46 + 21600)
UncappedSurvivalBonus = 176769.2 / 30438.46
UncappedSurvivalBonus = 5.807429153774534 (580.7%, but shown in-game as 100.0%)

CharacterLevel = 1
UBspawn_fact = 1000 (Default is 175)

TargetCreatureLevel = FLOOR(CharacterLevel * (1 + UncappedSurvivalBonus * UBspawn_fact * 0.001 * (CharacterLevel + 9) / CharacterLevel))
TargetCreatureLevel = FLOOR(1 * (1 + 5.807429153774534 * 1000 * 0.001 * (1 + 9) / 1))
TargetCreatureLevel = FLOOR(1 + 5.807429153774534 * 10)
TargetCreatureLevel = FLOOR(1 + 58.07429153774534)
TargetCreatureLevel = FLOOR(59.07429153774534)
TargetCreatureLevel = 59 (Reference value is 59)

CharacterLevel = 2
UBspawn_fact = 1000

TargetCreatureLevel = FLOOR(CharacterLevel * (1 + UncappedSurvivalBonus * UBspawn_fact * 0.001 * (CharacterLevel + 9) / CharacterLevel))
TargetCreatureLevel = FLOOR(2 * (1 + 5.807429153774534 * 1000 * 0.001 * (2 + 9) / 2))
TargetCreatureLevel = FLOOR(2 * (1 + 5.807429153774534 * 11 / 2))
TargetCreatureLevel = FLOOR(2 * (1 + 31.94086034575994))
TargetCreatureLevel = FLOOR(2 * 32.94086034575994)
TargetCreatureLevel = FLOOR(65.88172069151987)
TargetCreatureLevel = 65 (Reference value is 65)

CharacterLevel = 3
UBspawn_fact = 1000

TargetCreatureLevel = FLOOR(CharacterLevel * (1 + UncappedSurvivalBonus * UBspawn_fact * 0.001 * (CharacterLevel + 9) / CharacterLevel))
TargetCreatureLevel = FLOOR(3 * (1 + 5.807429153774534 * 1000 * 0.001 * (3 + 9) / 3))
TargetCreatureLevel = FLOOR(3 * (1 + 5.807429153774534 * 12 / 3))
TargetCreatureLevel = FLOOR(3 * (1 + 23.22971661509814))
TargetCreatureLevel = FLOOR(3 * 24.22971661509814)
TargetCreatureLevel = FLOOR(72.68914984529441)
TargetCreatureLevel = 72 (Reference value is 72)

A strong thunderstorm is going on right now where I live. There's lightning coming down almost constantly. It's actually pretty cool and very fitting

And SLD is always right on the nose. How does he do it? :inquire:

SLD · September 11

9 hours ago, Maneus said:

And SLD is always right on the nose. How does he do it?

Well, look at the size of that nose :connie_xmas-moose:

Maneus · September 12

How is the level difference penalty calculated?

The formula is:

LevelDifferencePenalty = FLOOR3((CharacterLevel + 9) / (CreatureLevel + 9))

Damage = Damage * LevelDifferencePenalty

This LevelDifferencePenalty is only applied when it is less than or equal to 0.850 !

For example, at CharacterLevel 14 and CreatureLevel 18, the LevelDifferencePenalty is equal to 0.851. Since it is above 0.850, then it is not applied.

Spoiler

CharacterLevel = 14
CreatureLevel = 18

LevelDifferencePenalty = FLOOR3((CharacterLevel + 9) / (CreatureLevel + 9))
LevelDifferencePenalty = FLOOR3((14 + 9) / (18 + 9))
LevelDifferencePenalty = FLOOR3(23 / 27)
LevelDifferencePenalty = FLOOR3(0.8518518518518519)
LevelDifferencePenalty = 0.851

You still do the normal damage to the opponent.

But at:

CharacterLevel = 8
CreatureLevel = 11

LevelDifferencePenalty = FLOOR3((CharacterLevel + 9) / (CreatureLevel + 9))
LevelDifferencePenalty = FLOOR3((8 + 9) / (11 + 9))
LevelDifferencePenalty = FLOOR3(17 / 20)
LevelDifferencePenalty = FLOOR3(0.85)
LevelDifferencePenalty = 0.85

If you normally do 10000 damage, then you will do 8500 damage to the opponent.

How is the level difference bonus calculated?

The formula is:

LevelDifferenceRatio = FLOOR3((LevelDifferencePenalty - (1 + DamScaleRatioMin * 0.001)) / ((DamScaleRatioMax - DamScaleRatioMin) * 0.001))

LevelDifferenceBonus = CLAMP(LevelDifferenceRatio, 0, 1) * DamScaleIncMax * 0.001

Damage = Damage * (1 + LevelDifferenceBonus)

Where:
- DamScaleRatioMin - from balance.txt. Default value is 200.
- DamScaleRatioMax - from balance.txt. Default value is 350.
- DamScaleIncMax - from balance.txt. Default value is 1250.

Example:

Spoiler

CharacterLevel = 100
CreatureLevel = 80
DamScaleRatioMin = 200
DamScaleRatioMax = 350
DamScaleIncMax = 1250
Damage = 10000

LevelDifferencePenalty = FLOOR3((CharacterLevel + 9) / (CreatureLevel + 9))
LevelDifferencePenalty = FLOOR3((100 + 9) / (80 + 9))
LevelDifferencePenalty = FLOOR3(109 / 89)
LevelDifferencePenalty = FLOOR3(1.224719101123596)
LevelDifferencePenalty = 1.224

LevelDifferenceRatio = FLOOR3((LevelDifferencePenalty - (1 + DamScaleRatioMin * 0.001)) / ((DamScaleRatioMax - DamScaleRatioMin) * 0.001))
LevelDifferenceRatio = FLOOR3((1.224 - (1 + 200 * 0.001)) / ((350 - 200) * 0.001))
LevelDifferenceRatio = FLOOR3((1.224 - (1 + 0.2)) / (150 * 0.001))
LevelDifferenceRatio = FLOOR3((1.224 - 1.2) / 0.15)
LevelDifferenceRatio = FLOOR3(0.024 / 0.15)
LevelDifferenceRatio = FLOOR3(0.16)
LevelDifferenceRatio = 0.16

LevelDifferenceBonus = CLAMP(LevelDifferenceRatio, 0, 1) * DamScaleIncMax * 0.001
LevelDifferenceBonus = CLAMP(0.16, 0, 1) * 1250 * 0.001
LevelDifferenceBonus = 0.16 * 1.25
LevelDifferenceBonus = 0.2 (20% bonus damage)

Damage = Damage * (1 + LevelDifferenceBonus)
Damage = 10000 * (1 + 0.2)
Damage = 10000 * 1.2
Damage = 12000 (Reference value is 12000)

Edited September 12 by Maneus

Maneus · September 13

On 9/9/2024 at 1:51 AM, SLD said:

I think these exceptions are a result of the summoning combat art just creating creatures at the level that is set in the combat art. So the demons just got a combat art level that usually results in a summon of a slight bit above their level and the elite version got some extra levels on the combat art. In both cases the skeletons are just indirectly influenced via the zone and sb effects as the demons level is the basis for the combat art level.

This appears to be the case.

The elite demon mage in creatures.txt:

Spoiler

mgr.createCreature {
   id = 1392,
   itemtype_id = 610,
   name = "Demon_WL_summoner_elite",
   behaviour = "Enemy_mage",
   dangerclass = 6,
   groupmaxcount = 1,
   elite_creature_id = 1392,
   probabilityforelite = 0.000000,
   rank = 50,
   tenergy_creature_id = 1392,
   template_creature_id = 1790,
   livesremaining = 0,
   unconscioustime = 20,
   palettebits = "1111111111111111",
   monstertype = 1,
   faction_id = 24,
   equipset_id = 448,
   modelscale = 1.100000,
   rise_from_ground = 0,
   has_corpse = 1,
   has_soul = 1,
   can_strafe = 0,
   spells = {
       entry0 = { "enemy_ghost_schock_1" },
       entry1 = { "enemy_spawn_fireskeleton" },
       entry2 = { "enemy_blind" },
   },
}

The template creature:

Spoiler

mgr.createCreature {
   id = 1790,
   itemtype_id = 4828,
   name = "Template_demon_any_elite",
   behaviour = "BoulderDash",
   dangerclass = 0,
   groupmaxcount = 0,
   probabilityforelite = 0.000000,
   rank = 0,
   livesremaining = 0,
   unconscioustime = 20,
   palettebits = "1111111111111111",
   monstertype = 0,
   faction_id = 24,
   modelscale = 1.000000,
   rise_from_ground = 0,
   has_corpse = 1,
   has_soul = 1,
   can_strafe = 0,
}

Both receive a bonus to all CA levels.

Spoiler

mgr.addCreatureBonus( 1392, {
intensity = 2250,
bonus = 246,
})

mgr.addCreatureBonus( 1790, {
intensity = 1320,
bonus = 246,
})

newBonus = {
-- name = "crbonus_level_CA_all",
rating = 0,
basedonskill = "SKILL_INVALID",
type = "BONUS_LEVEL_ALL_CA",
spez = "",
spez2 = "",
usagebits = 65535,
minconstraints = {1,0,0},
difficultyvaluerange0 = {0,100,4000},
difficultyvaluerange1 = {1,125,5000},
difficultyvaluerange2 = {2,150,6000},
difficultyvaluerange3 = {3,175,7000},
difficultyvaluerange4 = {4,200,8000},
}
mgr.createBonus(246, newBonus);

The bonuses are calculated separately. The total value is 341.29. This becomes the level of all combat arts. Creatures, as opposed to the playable characters, do not suffer from combat art level penalty.

Spoiler

ValueAt0 = 200
ValueAt200 = 8000
ItemLevel = 240 (It's the creature level)

For the first bonus:

BlueprintMultiplier = 1320

ValueOfBonus = FLOOR((FLOOR(((ValueAt200 - ValueAt0) / 200) * ItemLevel) + ValueAt0) * BlueprintMultiplier * 0.001)
ValueOfBonus = FLOOR((FLOOR(((8000 - 200) / 200) * 240) + 200) * 1320 * 0.001)
ValueOfBonus = FLOOR((FLOOR((7800 / 200) * 240) + 200) * 1.32)
ValueOfBonus = FLOOR((FLOOR(39 * 240) + 200) * 1.32)
ValueOfBonus = FLOOR((FLOOR(9360) + 200) * 1.32)
ValueOfBonus = FLOOR((9360 + 200) * 1.32)
ValueOfBonus = FLOOR(9560 * 1.32)
ValueOfBonus = FLOOR(12619.2)
ValueOfBonus = 12619

CALevelBonus = ValueOfBonus / 100
CALevelBonus = 12619 / 100
CALevelBonus = 126.19

For the second bonus:

BlueprintMultiplier = 2250

ValueOfBonus = FLOOR((FLOOR(((ValueAt200 - ValueAt0) / 200) * ItemLevel) + ValueAt0) * BlueprintMultiplier * 0.001)
ValueOfBonus = FLOOR((FLOOR(((8000 - 200) / 200) * 240) + 200) * 2250 * 0.001)
ValueOfBonus = FLOOR((FLOOR((7800 / 200) * 240) + 200) * 2.25)
ValueOfBonus = FLOOR((FLOOR(39 * 240) + 200) * 2.25)
ValueOfBonus = FLOOR((FLOOR(9360) + 200) * 2.25)
ValueOfBonus = FLOOR((9360 + 200) * 2.25)
ValueOfBonus = FLOOR(9560 * 2.25)
ValueOfBonus = FLOOR(21510)
ValueOfBonus = 21510

CALevelBonus = ValueOfBonus / 100
CALevelBonus = 21510 / 100
CALevelBonus = 215.1

TotalCALevelBonus = 126.19 + 215.1 = 341.29

The combat art in spells.txt:

Spoiler

mgr.defineSpell( "enemy_spawn_fireskeleton", {
   eiStateName = "cSpellCast",
   fxTypeCast = "",
   fxTypeSpell = "FX_GEN_SPAWN1_I",
   duration = 10.000000,
   animType = "ANIM_TYPE_MAGICB",
   animTypeApproach = "",
   animTypeRide = "",
   animTypeSpecial = "",
   causesSpellDamage = 1,
   tokens = {
       entry0 = {"et_summon_officer", 1000, 1234, 0, 8 },
       entry1 = {"et_summon_mylevel", 4, 1, 0, 4 },
   },
   fightDistance = 300.000000,
   aspect = "EA_ENEMY_ANY",
   cooldown = 10.000000,
   soundProfile = 0,
   cost_level = 200,
   cost_base = 400,
   focus_skill_name = "skill__enemy_focus",
   lore_skill_name = "skill__enemy_lore",
   spellClass = "cSpellSpawnEnemy",
   spellcontroltype = "eCAtype_a_effect_location_start",
   sorting_rank = 0,
})

Since the combat art is using the entry et_summon_mylevel, as opposed to et_summon_level, the summoned creature is spawned at the summoner's level plus a bonus from the combat art entry. The bonus in this case is 34, which means that the summoned creature's level is 274.

Spoiler

ValueOfEntry = InitialValue + FLOOR(FinalCombatArtLevel * ValuePerLevel)
ValueOfEntry = 4 + FLOOR(341.29 * 1)
ValueOfEntry = 4 + 341
ValueOfEntry = 345

CreatureLevelBonus = FLOOR(345 / 10)
CreatureLevelBonus = FLOOR(345 / 10)
CreatureLevelBonus = FLOOR(34.5)
CreatureLevelBonus = 34

Same thing for the non-elite demon mage. He just has a much lower bonus to CA levels.

Edit: The highest possible (summoned) creature level is 65535. At 65536 it overflows and becomes 0, which is then clamped to 1.

Edit2: The difference between et_summon_mylevel and et_summon_level appears to be that et_summon_level uses 80% of the summoner's level as the base. If the summoner is level 100, then the base is 80. If the summoner is level 240, then the base is 192. The bonus to the creature level is calculated in the same way.

BeeEffGee also uses et_summon_level, but in combination with et_summon_item. The summoned item level appears to be capped at 200.

Edited September 21 by Maneus

SLD · September 14

9 hours ago, Maneus said:

BeeEffGee also uses et_summon_level, but in combination with et_summon_item. The summoned item level appears to be capped at 200.

That cap was added to the game to prevent problems with the items level not just exceeding what your character can currently carry but also what a character ever could carry. I think it previously was capped at 255 which is probably the highest possible item level, but level 255 items would usually require a level 203 character to be equipped.
What problems that actually caused, I don't know.

9 hours ago, Maneus said:

Edit: The highest possible (summoned) creature level is 65535. At 65536 it overflows and becomes 0, which is then clamped to 1.

Now I was wondering what possible use could this have. You can't make a mod where the characters can reach these kind of levels and normal monster spawns seem to be capped at level 240, items at 255...
I got it! It's for the "pokemon mod" where every character and monster is immune to damage and they all use summoning combat arts to let their summoned creatures fight each other. In this mod the full summon level range of 65535 could be used. With some kind of mechanic that killed the summoner when all of his creatures are defeated this mod could actually be a thing. Now all we need is for someone to make this mod.
At least you already laid the important scientific groundwork of figuring out the maximum summoned creature level

9 hours ago, Maneus said:

This appears to be the case.

The size of that nose never disappoints :connie_xmas-moose:

Maneus · September 14

8 hours ago, SLD said:

I think it previously was capped at 255 which is probably the highest possible item level, but level 255 items would usually require a level 203 character to be equipped.

Yes, the highest possible item level appears to be 255. At 256 it overflows to 0 and is then clamped to 1. And yes, with a level 200 character, I can't equip a level 255 item. Just tested it myself.

8 hours ago, SLD said:

That cap was added to the game to prevent problems with the items level not just exceeding what your character can currently carry but also what a character ever could carry.

You can still summon a level 200 BeeEffGee (item) as a level 1 Seraphim. The weapon appears to be usable.

8 hours ago, SLD said:

The size of that nose never disappoints

:lol:

SLD · September 14

1 hour ago, Maneus said:

You can still summon a level 200 BeeEffGee (item) as a level 1 Seraphim. The weapon appears to be usable.

Yes, of course. That's why I said, that I don't know what the actual problem was, that led to the cap at 200. Somehow exceeding what a level 200 character could wear must have caused extra problems. It originally went up to 255 and was capped there to not overflow, so that was not the problem.

1 hour ago, Maneus said:

And yes, with a level 200 character, I can't equip a level 255 item. Just tested it myself.

Yes, the formula for that one is known. (20%+1) off. That's how I got to it being supposed to take level 203.(255-[51+1])
It does sometimes not match exactly so I suspect rounding, but I never bothered to test this in detail.
The formula was originally very easy to find as in Sacred 1 they had both Item level and required level shown on the item and the formula there was (20%+2) off, so almost identical.

Maneus · September 15

How are the hitpoints calculated?

Each character (or creature) has base hitpoints. The base hitpoints are calculated using the following formula:

BaseHitpoints = ((1 + CharacterLevel + LifeStep * 2) * CharacterLevel + LifeBase * 2) * LifeFactor * 0.0001

Where:
- LifeStep - from balance.txt. Default value is 19.
- LifeBase - from balance.txt. Default value is 130.
- LifeFactor - For the playable characters it is 2500. For the creatures it is determined by the parameter LifeFactorDiff which has the following values {1000,1400,2000,3000,4000}, one value for each difficulty level.

In addition to the BaseHitpoints, all characters and creatures receive bonus hitpoints from the vitality attribute.

VitalityHitpoints = (10 / (10 + CharacterLevel)) * Vitality * BaseHitpoints / MAX(LifeAttribut, 1)

Where:
- Vitality - The total vitality value (after Survival Bonus).
- LifeAttribut - from balance.txt. Default value is 25.

TotalHitpoints = MAX(ROUND(BaseHitpoints + VitalityHitpoints + ConstitutionHitpoints), 1)

Where:
- ConstitutionHitpoints - bonus hitpoints from the skill. I'll look into it in another post.

The TotalHitpoints appear to be rounded half-up, both in the inventory screen and in practice. If the total is 212.3, then you will see 212. If the total is 342.85, then you will see 343. Very rarely, it is affected by precision loss, which lowers it by 1 point.

The VitalityHitpoints also appear to be rounded half-up, but only in the attribute tooltip and not always. It appears to be more often affected by precision loss and that might be the reason why it seems that it is not always rounded. In practice, when calculating the TotalHitpoints, it is not rounded at all.

Creatures are additionally affected by the parameter MP_lifeHP. The default values are {1000,1300,1650,2100,2650}. This appears to be a multiplier to the TotalHitpoints. It is important to keep in mind, that life leech % is based on the original total. For example:

Spoiler

We have a spell that has 100% leech life from opponents.

Our opponent has 4696.8 hitpoints (before rounding up).

At MP_lifeHP = 1000, the spell does 4697 damage, which kills the opponent in one hit.

At MP_lifeHP = 3000, the spell still does 4697 damage, but it now takes 4 hits to kill the opponent. The first three hits each deal a third of the opponent's hitpoints in damage, but the opponent appears to have at least 1 hitpoint remaining at the end. This appears to happen because the opponent manages to regenerate at least 1 hitpoint before the third hit.

After modifying the spell to have 300% life leech, it now does 14091 damage, which is enough to kill the opponent in one hit.

How is hitpoint regeneration calculated?

The formula is:

HitpointsPerSecond = FLOOR(TotalHitpoints / (balanceLifeRegenerationTime * 0.001)) / 10

Where:
- HitpointsPerSecond - the value shown in the inventory screen.
- balanceLifeRegenerationTime - from balance.txt. Default value is 4500.

The skill Constitution does not directly affect the regeneration rate as the tooltip might lead you to believe. It simply raises the TotalHitpoints, which in turn increases the regeneration rate.

A full example:

Spoiler

Seraphim, level 200
Vitality = 10000
LifeStep = 19
LifeBase = 130
LifeAttribut = 25
LifeFactor = 2500
ConstitutionHitpoints = 0
balanceLifeRegenerationTime = 4500

BaseHitpoints = ((1 + CharacterLevel + LifeStep * 2) * CharacterLevel + LifeBase * 2) * LifeFactor * 0.0001
BaseHitpoints = ((1 + 200 + 19 * 2) * 200 + 130 * 2) * 2500 * 0.0001
BaseHitpoints = ((201 + 38) * 200 + 260) * 0.25
BaseHitpoints = (239 * 200 + 260) * 0.25
BaseHitpoints = (47800 + 260) * 0.25
BaseHitpoints = 48060 * 0.25
BaseHitpoints = 12015

VitalityHitpoints = (10 / (10 + CharacterLevel)) * Vitality * BaseHitpoints / MAX(LifeAttribut, 1)
VitalityHitpoints = (10 / (10 + 200)) * 10000 * 12015 / MAX(25, 1)
VitalityHitpoints = (10 / 210) * 10000 * 12015 / 25
VitalityHitpoints = 0.0476190476190476 * 4806000
VitalityHitpoints = 228857.1428571428 (Reference value is 228856)

TotalHitpoints = MAX(ROUND(BaseHitpoints + VitalityHitpoints + ConstitutionHitpoints), 1)
TotalHitpoints = MAX(ROUND(12015 + 228857.1428571428 + 0), 1)
TotalHitpoints = MAX(ROUND(240872.1428571428), 1)
TotalHitpoints = MAX(240872, 1)
TotalHitpoints = 240872 (Reference value is 240872)

HitpointsPerSecond = FLOOR(TotalHitpoints / (balanceLifeRegenerationTime * 0.001)) / 10
HitpointsPerSecond = FLOOR(240872 / (4500 * 0.001)) / 10
HitpointsPerSecond = FLOOR(240872 / 4.5) / 10
HitpointsPerSecond = FLOOR(53527.11111111111) / 10
HitpointsPerSecond = 53527 / 10
HitpointsPerSecond = 5352.7 (Reference value is 5352.7)

Edited September 15 by Maneus

SLD · September 16

14 hours ago, Maneus said:

The skill Constitution does not directly affect the regeneration rate as the tooltip might lead you to believe. It simply raises the TotalHitpoints, which in turn increases the regeneration rate.

Well it's mastery kinda "increases" the in combat reg...

Maneus · September 16

How is the hitpoint bonus from the skill Constitution calculated?

The skill in creatures.txt

Spoiler

--increase life
--Advanced:
--upgrade
--increase life and life regen in combat

mgr.createSkill {
   skill_name = "skill_constitution",
   advance_level = 75,
   min_level = 0,
   mean_value = 300,
   advance_mean_value = 450,
   skillgroup = "SKG_DEFENCE",
   adv_skill_name = "skill_advanced_constitution",
}

The formula is:

ConstitutionHitpoints = 0.1 * ConstitutionLevel * BaseHitpoints * mean_value * (1 / (AdjustConstitutionFactor + CharacterLevel)) * (1 / LifeAttribut)

Where:
- ConstitutionLevel - total skill points in the skill.
- BaseHitpoints - from my previous post.
- mean_value - from the skill definition in creatures.txt. Default value is 300.
- AdjustConstitutionFactor - from balance.txt. Default value is 5. Setting it to 0 is the same as setting it to 5.
- LifeAttribut - from balance.txt. Default value is 25.

The formula is absolutely the same pre-mastery and post-mastery. The parameter advance_mean_value is not used.

Example:

Spoiler

Seraphim, level 200
Vitality = 525
LifeStep = 19
LifeBase = 130
LifeAttribut = 25
LifeFactor = 2500
balanceLifeRegenerationTime = 4500
ConstitutionLevel = 75
mean_value = 300
AdjustConstitutionFactor = 5

BaseHitpoints = ((1 + CharacterLevel + LifeStep * 2) * CharacterLevel + LifeBase * 2) * LifeFactor * 0.0001
BaseHitpoints = ((1 + 200 + 19 * 2) * 200 + 130 * 2) * 2500 * 0.0001
BaseHitpoints = ((201 + 38) * 200 + 260) * 0.25
BaseHitpoints = (239 * 200 + 260) * 0.25
BaseHitpoints = (47800 + 260) * 0.25
BaseHitpoints = 48060 * 0.25
BaseHitpoints = 12015

VitalityHitpoints = (10 / (10 + CharacterLevel)) * Vitality * BaseHitpoints / MAX(LifeAttribut, 1)
VitalityHitpoints = (10 / (10 + 200)) * 525 * 12015 / MAX(25, 1)
VitalityHitpoints = (10 / 210) * 525 * 12015 / 25
VitalityHitpoints = 0.0476190476190476 * 252315
VitalityHitpoints = 12015 (Reference value is 12015)

ConstitutionHitpoints = 0.1 * ConstitutionLevel * BaseHitpoints * mean_value * (1 / (AdjustConstitutionFactor + CharacterLevel)) * (1 / LifeAttribut)
ConstitutionHitpoints = 0.1 * 75 * 12015 * 300 * (1 / (5 + 200)) * (1 / 25)
ConstitutionHitpoints = 27033750 * (1 / 205) * (1 / 25)
ConstitutionHitpoints = 5274.878048780488 (Reference value is 5274)

TotalHitpoints = MAX(ROUND(BaseHitpoints + VitalityHitpoints + ConstitutionHitpoints), 1)
TotalHitpoints = MAX(ROUND(12015 + 12015 + 5274.878048780488), 1)
TotalHitpoints = MAX(ROUND(29304.87804878049), 1)
TotalHitpoints = MAX(29305, 1)
TotalHitpoints = 29305 (Reference value is 29305)

HitpointsPerSecond = FLOOR(TotalHitpoints / (balanceLifeRegenerationTime * 0.001)) / 10
HitpointsPerSecond = FLOOR(29305 / (4500 * 0.001)) / 10
HitpointsPerSecond = FLOOR(29305 / 4.5) / 10
HitpointsPerSecond = FLOOR(6512.222222222222) / 10
HitpointsPerSecond = 6512 / 10
HitpointsPerSecond = 651.2 (Reference value is 651.2)

The skill tooltip shows Hitpoint Regeneration +21.9% which is basically the ConstitutionHitpoints represented as a percentage bonus.

TotalHitpoints = (BaseHitpoints + VitalityHitpoints) * (1 + PercentageBonus)
TotalHitpoints / (BaseHitpoints + VitalityHitpoints) = 1 + PercentageBonus
TotalHitpoints / (BaseHitpoints + VitalityHitpoints) - 1 = PercentageBonus
PercentageBonus = TotalHitpoints / (BaseHitpoints + VitalityHitpoints) - 1
PercentageBonus = 29305 / (12015 + 12015) - 1
PercentageBonus = 29305 / 24030 - 1
PercentageBonus = 1.219517270079068 - 1
PercentageBonus = 0.219517270079068

Edited September 19 by Maneus

Maneus · September 17

How is the damage bonus from skills like Tactics Lore and Aspect Lore calculated?

The formulas in the wiki are correct:

Quote

400*(x+1.5)/(x+100) Pre-Mastery
600*(x-32.5)/(x+66) Mastery

But they are not complete.

Here is the skill definition of Tactics Lore in creatures.txt

Spoiler

--increase weapon damage and crit chance
--Advanced:
--upgrade
--increase weapon damage and crit chance

mgr.createSkill {
   skill_name = "skill_tactics_lore",
   advance_level = 75,
   min_level = 0,
   mean_value = 200,
   advance_mean_value = 300,
   skillgroup = "SKG_ATTACK",
   adv_skill_name = "skill_tactics_mastery",
}

The actual formula for pre-mastery skill levels is:

DamageBonus = FLOOR(20 * mean_value * (SkillLevel + SkillPivotPoint * 0.015) / (SkillLevel + SkillPivotPoint)) / 10

Where:
- DamageBonus - the value shown in the skill tooltip (as a percentage).
- mean_value - from the skill definition in creatures.txt. Default value is 200.
- SkillLevel - total skill points in the skill.
- SkillPivotPoint - from balance.txt. Default value is 100.

And the formula for post-mastery skill levels is:

ModifiedSkillLevel = SkillLevel - FLOOR((advance_level + 1) / 2.222)

DamageBonus = FLOOR(20 * advance_mean_value * (ModifiedSkillLevel + SkillPivotPoint * 0.015) / (ModifiedSkillLevel + SkillPivotPoint)) / 10

Where:
- advance_level - from the skill definition in creatures.txt. Default value is 75.
- advance_mean_value - from the skill definition in creatures.txt. Default value is 300.

The parameters, at their default values, match the numbers given in the wiki formulas.

And, as we've established already, the result shown in the skill tooltip is subject to precision loss from 32-bit floats. You can use this website to check if the result is affected or not https://baseconvert.com/ieee-754-floating-point.

Examples:

Spoiler

SkillLevel = 74
mean_value = 200
SkillPivotPoint = 100

DamageBonus = FLOOR(20 * mean_value * (SkillLevel + SkillPivotPoint * 0.015) / (SkillLevel + SkillPivotPoint)) / 10
DamageBonus = FLOOR(20 * 200 * (74 + 100 * 0.015) / (74 + 100)) / 10
DamageBonus = FLOOR(4000 * (74 + 1.5) / 174) / 10
DamageBonus = FLOOR(4000 * 75.5 / 174) / 10
DamageBonus = FLOOR(1735.632183908046) / 10
DamageBonus = 1735 / 10
DamageBonus = 173.5 (Reference value is 173.5%)

SkillLevel = 75
advance_level = 75
advance_mean_value = 300
SkillPivotPoint = 100

ModifiedSkillLevel = SkillLevel - FLOOR((advance_level + 1) / 2.222)
ModifiedSkillLevel = 75 - FLOOR((75 + 1) / 2.222)
ModifiedSkillLevel = 75 - FLOOR(76 / 2.222)
ModifiedSkillLevel = 75 - FLOOR(34.2034203420342)
ModifiedSkillLevel = 75 - 34
ModifiedSkillLevel = 41

DamageBonus = FLOOR(20 * advance_mean_value * (ModifiedSkillLevel + SkillPivotPoint * 0.015) / (ModifiedSkillLevel + SkillPivotPoint)) / 10
DamageBonus = FLOOR(20 * 300 * (41 + 100 * 0.015) / (41 + 100)) / 10
DamageBonus = FLOOR(6000 * (41 + 1.5) / 141) / 10
DamageBonus = FLOOR(6000 * 42.5 / 141) / 10
DamageBonus = FLOOR(1808.510638297872) / 10
DamageBonus = 1808 / 10
DamageBonus = 180.8 (Reference value is 180.8%)

Maneus · September 18

It turns out that the characters' stats, including the fist damage, can be found in creatures.txt.

For example, the High Elf "creature":

Spoiler

mgr.createCreature {
   id = 209,
   itemtype_id = 5,
   name = "SC_Highelve",
   behaviour = "Invalid",
   dangerclass = 7,
   groupmaxcount = 1,
   elite_creature_id = 209,
   probabilityforelite = 0.000000,
   rank = 999,
   tenergy_creature_id = 209,
   livesremaining = 0,
   unconscioustime = 5,
   palettebits = "1111111111111111",
   monstertype = 0,
   faction_id = 1,
   equipset_id = 5,
   modelscale = 1.000000,
   rise_from_ground = 0,
   has_corpse = 1,
   has_soul = 1,
   can_strafe = 0,
   spells = {
       entry0 = { "he_ar_magischerschlag" },
       entry1 = { "he_ar_energieblitz" },
       entry2 = { "he_ar_teleport" },
       entry3 = { "he_ar_regenerationskraft" },
       entry4 = { "he_ar_bannkreis" },
       entry5 = { "he_in_feuerball" },
       entry6 = { "he_in_feuersturm" },
       entry7 = { "he_in_meteor" },
       entry8 = { "he_in_feuerdaemon" },
       entry9 = { "he_in_feuerhaut" },
       entry10 = { "he_st_eissplitter" },
       entry11 = { "he_st_frostschlag" },
       entry12 = { "he_st_schneesturm" },
       entry13 = { "he_st_nebelform" },
       entry14 = { "he_st_kristallhaut" },
   },
}

Receives the following bonuses:

Spoiler

mgr.addCreatureBonus( 209, {
intensity = 800,
bonus = 31,--Dexterity
})

mgr.addCreatureBonus( 209, {
intensity = 1400,
bonus = 32,--Intelligence
})

mgr.addCreatureBonus( 209, {
intensity = 1000,
bonus = 33,--Stamina
})

mgr.addCreatureBonus( 209, {
intensity = 700,
bonus = 29,--Strength
})

mgr.addCreatureBonus( 209, {
intensity = 800,
bonus = 34,--Vitality
})

mgr.addCreatureBonus( 209, {
intensity = 1000,
bonus = 35,--Willpower
})

mgr.addCreatureBonus( 209, {
intensity = 350,
bonus = 27,--crbonus_damage_phy
})

mgr.addCreatureBonus( 209, {
intensity = 2000,
bonus = 26,--crbonus_experience
})

The attribute bonuses all look like this:

Spoiler

newBonus = {
-- name = "crbonus_attr_dex_pc",
rating = 0,
basedonskill = "SKILL_INVALID",
type = "BONUS_STATS",
spez = "STAT_DEX",
spez2 = "",
usagebits = 65535,
minconstraints = {1,0,0},
difficultyvaluerange0 = {0,23,525},
difficultyvaluerange1 = {1,23,525},
difficultyvaluerange2 = {2,23,525},
difficultyvaluerange3 = {3,23,525},
difficultyvaluerange4 = {4,23,525},
}
mgr.createBonus(31, newBonus);

They start from 23 (level 0) and go up to 525 (level 200). If the intensity value is 1000, then the attribute will become 525 at level 200. But each character receives the bonuses at different intensity values which is what makes the stats different.

The fist damage bonus:

Spoiler

newBonus = {
-- name = "crbonus_damage_phy",
rating = 0,
basedonskill = "SKILL_INVALID",
type = "BONUS_WEAPONDAMAGERANGE",
spez = "DMG_PHYS",
spez2 = "",
usagebits = 65535,
minconstraints = {1,0,0},
difficultyvaluerange0 = {0,24,371},
difficultyvaluerange1 = {1,24,371},
difficultyvaluerange2 = {2,24,371},
difficultyvaluerange3 = {3,24,371},
difficultyvaluerange4 = {4,24,371},
}
mgr.createBonus(27, newBonus);

At level 200, that would be 371 damage. The high elf receives this bonus at 350 intensity, which makes the final result 129.85. It is then rounded down to 129.

This seems so obvious now. It never occured to me to check the character "creatures"...

Edited September 19 by Maneus

Maneus · September 19

Some findings about Energy Shields

Any character can receive an Energy Shield through the bonus type "BONUS_SHIELD". There are two bonuses in blueprint.txt that have it:

Spoiler

newBonus = {
-- name = "bb_shieldstrength",
rating = 0,
basedonskill = "SKILL_INVALID",
type = "BONUS_SHIELD",
spez = "",
spez2 = "",
usagebits = 65535,
minconstraints = {0,0,0},
difficultyvaluerange0 = {0,0,0},
difficultyvaluerange1 = {1,0,0},
difficultyvaluerange2 = {2,0,0},
difficultyvaluerange3 = {3,0,0},
difficultyvaluerange4 = {4,0,0},
}
mgr.createBonus(409, newBonus);

newBonus = {
-- name = "XXXsb_esldl_eshield_strength",
rating = 16,
basedonskill = "skill_energy_shield_lore",
type = "BONUS_SHIELD",
spez = "",
spez2 = "",
usagebits = 65505,
minconstraints = {1,5,0},
difficultyvaluerange0 = {0,20,100},
difficultyvaluerange1 = {1,30,150},
difficultyvaluerange2 = {2,40,200},
difficultyvaluerange3 = {3,50,250},
difficultyvaluerange4 = {4,60,300},
}
mgr.createBonus(517, newBonus);

The second one appears to be based on the skill Warding Energy Lore, so it probably won't do anything by itself. And the first one has 0 for its values, because they are set by the combat art entries. But if you define a new bonus like so:

Spoiler

newBonus = {
-- name = "bb_shieldstrength2",
rating = 0,
basedonskill = "SKILL_INVALID",
type = "BONUS_SHIELD",
spez = "",
spez2 = "",
usagebits = 65535,
minconstraints = {0,0,0},
difficultyvaluerange0 = {0,1000,1000},
difficultyvaluerange1 = {1,1000,1000},
difficultyvaluerange2 = {2,1000,1000},
difficultyvaluerange3 = {3,1000,1000},
difficultyvaluerange4 = {4,1000,1000},
}
mgr.createBonus(20005, newBonus);

And give it to a creature or item, then it works. Note: Don't copy-paste code from this site as there is an issue with the symbol encodings. Instead, copy an existing bonus in blueprint.txt and modify it.

The value of the bonus isn't a flat amount, but a percentage. The hitpoints of the Energy Shield appear to be based on the character's BaseHitpoints. So a bonus value of 1000 means 100% of the BaseHitpoints. If your character has BaseHitpoints of 12015, then the Energy Shield will also be 12015. If you give this bonus to an item, then the item tooltip will show Max. shield energy +100.0%. Multiple bonuses of this type stack additively.

The attribute Willpower increases the energy shield hitpoints just like Vitality increases the regular hitpoints. The formula is the same.

While the TotalHitpoints are rounded half-up, the TotalEnergyShieldHitpoints appear to be rounded down.

So far, this means that energy shield hitpoints and regular hitpoints share a lot of the parameters from balance.txt. But there are also:

Quote

balanceShieldRegDelayCombatFactor = 500,
balanceShieldRegDelayDangerFactor = 2,
balanceShieldRegTime = 2000,
balanceShieldAbsorptionSkill = 50,

The Energy Shield regenerates at a much faster rate, and the reason is the much lower value of balanceShieldRegTime (2000) compared to balanceLifeRegenerationTime (4500).

There is also the bonus type "BONUS_SHIELD_REL", which seems like percentage increase to the base "BONUS_SHIELD". WIll have to do some tests.

Energy Shields have the property Absorption Warding Energy, which is the percentage of damage that is diverted to the energy shield hitpoints. The blueprint bonus type is "BONUS_SHIELDFACTOR". If the character does not have such a bonus, then the Absorption Warding Energy will be 50%. The first instance of this bonus sets the value - it won't stack with the default value, but rather override it. That is why all energy shield combat arts explicitly set it via a combat art entry. Additional instances of this bonus will stack additively.

There are also "BONUS_SHIELDFACTOR_IGNORE" and "BONUS_SHIELDFACTOR_IGNORE_POTENTIAL" which I'll look into later.

Energy Shields can also block a flat amount of damage. The bonus type is "BONUS_SHIELDBLOCK". If the character does not have such a bonus, then no damage will be blocked. WIll have to see where does it fit in the overall damage formula.

The bonus type "BONUS_SHIELD_REGENERATION" represents flat regeneration rate, which works in and out of combat (just like regular flat hitpoint regeneration). That is what the Temple Guardian uses (the modification of the combat art). I think it was affected by the Tactics Lore/Aspect Lore skill, but I will have to check this. I suspect that the Aspect Lore skill only affects bonuses that come from a combat art, and not when given directly to a creature or item.

The bonus type "BONUS_SHIELD_RELOAD_REL" seems to be a percentage bonus to the regeneration rate. I wonder how (or if) it interacts with the flat regeneration bonus.

So many things to test... :moil:

Note: The graphical effect - the blue field of hexagons around the character - comes from the combat arts (buffs).

Edited September 19 by Maneus

Maneus · September 22

While browsing through the character "creatures", I noticed that some of them receive an additional hidden bonus.

For example, the Temple Guardian:

Spoiler

mgr.createCreature {
   id = 210,
   itemtype_id = 6,
   name = "SC_Templeguardian",
   behaviour = "Invalid",
   dangerclass = 7,
   groupmaxcount = 1,
   elite_creature_id = 210,
   probabilityforelite = 0.000000,
   rank = 999,
   tenergy_creature_id = 210,
   livesremaining = 0,
   unconscioustime = 5,
   palettebits = "1111111111111111",
   monstertype = 0,
   faction_id = 1,
   modelscale = 1.000000,
   rise_from_ground = 0,
   has_corpse = 1,
   has_soul = 1,
   can_strafe = 0,
   spells = {
       entry0 = { "tw_cc_kampfarm" },
       entry1 = { "tw_cc_todesspiesse" },
       entry2 = { "tw_cc_schoepfungsschlag" },
       entry3 = { "tw_cc_kampfaura" },
       entry4 = { "tw_cc_tkampfschild" },
       entry5 = { "tw_te_projektil" },
       entry6 = { "tw_te_flammenwerfer" },
       entry7 = { "tw_te_archimedisstrahl" },
       entry8 = { "tw_te_tschock" },
       entry9 = { "tw_te_levitieren" },
       entry10 = { "tw_en_mutieren" },
       entry11 = { "tw_en_energienetz" },
       entry12 = { "tw_en_gluthitze" },
       entry13 = { "tw_en_eiseskaelte" },
       entry14 = { "tw_en_schockpulse" },
       entry15 = { "tw_cc_kampfaura_buff" },
   },
}

Receives:

Spoiler

mgr.addCreatureBonus( 210, {
intensity = 960,
bonus = 31,--crbonus_attr_dex_pc
})

mgr.addCreatureBonus( 210, {
intensity = 1040,
bonus = 32,--crbonus_attr_int_pc
})

mgr.addCreatureBonus( 210, {
intensity = 1000,
bonus = 33,--crbonus_attr_sta_pc
})

mgr.addCreatureBonus( 210, {
intensity = 1080,
bonus = 29,--crbonus_attr_str_pc
})

mgr.addCreatureBonus( 210, {
intensity = 900,
bonus = 34,--crbonus_attr_vit_pc
})

mgr.addCreatureBonus( 210, {
intensity = 1000,
bonus = 35,--crbonus_attr_wil_pc
})

mgr.addCreatureBonus( 210, {
intensity = 200,
bonus = 423,--crbonus_block_stun
})

mgr.addCreatureBonus( 210, {
intensity = 400,
bonus = 27,--crbonus_damage_phy
})

mgr.addCreatureBonus( 210, {
intensity = 2000,
bonus = 26,--crbonus_experience
})

In particular, this one:

Quote

mgr.addCreatureBonus( 210, {
intensity = 200,
bonus = 423,--crbonus_block_stun
})

Spoiler

newBonus = {
-- name = "crbonus_block_stun",
rating = 0,
basedonskill = "SKILL_INVALID",
type = "BONUS_CHANCE_BLOCKDAMAGE",
spez = "BLOCK_STUN",
spez2 = "",
usagebits = 65535,
minconstraints = {0,0,0},
difficultyvaluerange0 = {0,500,500},
difficultyvaluerange1 = {1,600,600},
difficultyvaluerange2 = {2,700,700},
difficultyvaluerange3 = {3,850,850},
difficultyvaluerange4 = {4,1000,1000},
}
mgr.createBonus(423, newBonus);

I gave this bonus to an item (niobium difficulty; item level 200; at the same intensity value) and the item tooltip shows Block Chance: Stun +18.7%.

The Seraphim:

Spoiler

mgr.createCreature {
   id = 1,
   itemtype_id = 1,
   name = "SC_Seraphim",
   behaviour = "Invalid",
   dangerclass = 7,
   groupmaxcount = 1,
   elite_creature_id = 1,
   probabilityforelite = 0.000000,
   rank = 999,
   tenergy_creature_id = 1,
   livesremaining = 0,
   unconscioustime = 5,
   palettebits = "1111111111111111",
   monstertype = 0,
   faction_id = 1,
   equipset_id = 2,
   modelscale = 1.000000,
   rise_from_ground = 0,
   has_corpse = 1,
   has_soul = 1,
   can_strafe = 0,
   spells = {
       entry0 = { "se_co_schlaghagel" },
       entry1 = { "se_co_wirbelsprung" },
       entry2 = { "se_co_seelenhammer" },
       entry3 = { "se_co_befluegeln" },
       entry4 = { "se_co_kampfhaltung" },
       entry5 = { "se_cm_lichtsaeule" },
       entry6 = { "se_cm_lichtaura" },
       entry7 = { "se_cm_bekehrung" },
       entry8 = { "se_cm_blitz" },
       entry9 = { "se_cm_heilen" },
       entry10 = { "se_te_energieschild" },
       entry11 = { "se_te_beeeffgee" },
       entry12 = { "se_te_notschild" },
       entry13 = { "se_te_schwertfeuer" },
       entry14 = { "se_te_schockwelle" },
   },
}

Receives:

Spoiler

mgr.addCreatureBonus( 1, {
intensity = 150,
bonus = 256,--crbonus_addAW
})

mgr.addCreatureBonus( 1, {
intensity = 1040,
bonus = 31,--crbonus_attr_dex_pc
})

mgr.addCreatureBonus( 1, {
intensity = 1000,
bonus = 32,--crbonus_attr_int_pc
})

mgr.addCreatureBonus( 1, {
intensity = 1000,
bonus = 33,--crbonus_attr_sta_pc
})

mgr.addCreatureBonus( 1, {
intensity = 900,
bonus = 29,--crbonus_attr_str_pc
})

mgr.addCreatureBonus( 1, {
intensity = 1000,
bonus = 34,--crbonus_attr_vit_pc
})

mgr.addCreatureBonus( 1, {
intensity = 1060,
bonus = 35,--crbonus_attr_wil_pc
})

mgr.addCreatureBonus( 1, {
intensity = 400,
bonus = 27,--crbonus_damage_phy
})

mgr.addCreatureBonus( 1, {
intensity = 1000,
bonus = 26,--crbonus_experience
})

In particular, this one:

Quote

mgr.addCreatureBonus( 1, {
intensity = 150,
bonus = 256,--crbonus_addAW
})

Spoiler

newBonus = {
-- name = "crbonus_addAW",
rating = 0,
basedonskill = "SKILL_INVALID",
type = "BONUS_COMBATVALUE",
spez = "CBTVAL_ATTACK",
spez2 = "",
usagebits = 65535,
minconstraints = {1,0,0},
difficultyvaluerange0 = {0,23,525},
difficultyvaluerange1 = {1,32,700},
difficultyvaluerange2 = {2,41,875},
difficultyvaluerange3 = {3,50,1050},
difficultyvaluerange4 = {4,62,1300},
}
mgr.createBonus(256, newBonus);

I gave this bonus to an item (niobium difficulty; item level 200; at the same intensity value) and the item tooltip shows Attack Value +195.

The Shadow Warrior:

Spoiler

mgr.createCreature {
   id = 93,
   itemtype_id = 3,
   name = "SC_Schattenkrieger",
   behaviour = "Invalid",
   dangerclass = 7,
   groupmaxcount = 1,
   elite_creature_id = 93,
   probabilityforelite = 0.000000,
   rank = 999,
   tenergy_creature_id = 93,
   livesremaining = 0,
   unconscioustime = 5,
   palettebits = "1111111111111111",
   monstertype = 0,
   faction_id = 1,
   equipset_id = 1,
   modelscale = 1.000000,
   rise_from_ground = 0,
   has_corpse = 1,
   has_soul = 1,
   can_strafe = 0,
   spells = {
       entry0 = { "sk_hc_harterschlag" },
       entry1 = { "sk_hc_befreiungsschlag" },
       entry2 = { "sk_hc_rammstoss" },
       entry3 = { "sk_hc_kampfruf" },
       entry4 = { "sk_hc_willensstaerke" },
       entry5 = { "sk_tc_attacke" },
       entry6 = { "sk_tc_sprung" },
       entry7 = { "sk_tc_standarte" },
       entry8 = { "sk_tc_kampfrausch" },
       entry9 = { "sk_tc_umlenkung" },
       entry10 = { "sk_ap_geisterhand" },
       entry11 = { "sk_ap_unterstuetzung" },
       entry12 = { "sk_ap_kampfbefehl" },
       entry13 = { "sk_ap_geistform" },
       entry14 = { "sk_ap_kohorte" },
       entry15 = { "sk_ap_geistform_buff" },
   },
}

Receives:

Spoiler

mgr.addCreatureBonus( 93, {
intensity = 840,
bonus = 31,--crbonus_attr_dex_pc
})

mgr.addCreatureBonus( 93, {
intensity = 880,
bonus = 32,--crbonus_attr_int_pc
})

mgr.addCreatureBonus( 93, {
intensity = 1040,
bonus = 33,--crbonus_attr_sta_pc
})

mgr.addCreatureBonus( 93, {
intensity = 1080,
bonus = 29,--crbonus_attr_str_pc
})

mgr.addCreatureBonus( 93, {
intensity = 1120,
bonus = 34,--crbonus_attr_vit_pc
})

mgr.addCreatureBonus( 93, {
intensity = 1040,
bonus = 35,--crbonus_attr_wil_pc
})

mgr.addCreatureBonus( 93, {
intensity = 400,
bonus = 27,--crbonus_damage_phy
})

mgr.addCreatureBonus( 93, {
intensity = 100,
bonus = 51,--crbonus_damping_poi
})

mgr.addCreatureBonus( 93, {
intensity = 2000,
bonus = 26,--crbonus_experience
})

In particular, this one:

Quote

mgr.addCreatureBonus( 93, {
intensity = 100,
bonus = 51,--crbonus_damping_poi
})

Spoiler

newBonus = {
-- name = "crbonus_damping_poi",
rating = 2,
basedonskill = "SKILL_INVALID",
type = "BONUS_DAMPING",
spez = "DMG_POISON",
spez2 = "",
usagebits = 65535,
minconstraints = {0,0,0},
difficultyvaluerange0 = {0,500,500},
difficultyvaluerange1 = {1,600,600},
difficultyvaluerange2 = {2,700,700},
difficultyvaluerange3 = {3,850,850},
difficultyvaluerange4 = {4,1000,1000},
}
mgr.createBonus(51, newBonus);

I gave this bonus to an item (niobium difficulty; item level 200; at the same intensity value) and the item tooltip shows Damage mitigation: Poison +10.0%.

Obviously, the value of the bonus depends on the character level and difficulty.

Edit: The formula for Block Chance: Stun appears to be:

BlockChanceStun = (ValueOfBonus + 32) / (ValueOfBonus + 1032)

In the tooltip, the shown percentage is affected by precision loss from 32-bit floats.

Edited September 22 by Maneus

How is Sacred 2 Weapon Damage Calculated

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