Sacred 2:Combat Discipline - formulas and tables
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The skill definition can be found in creatures.txt.
mgr.createSkill {
skill_name = "skill_combat_disciple",
advance_level = 75,
min_level = 0,
mean_value = 150,
advance_mean_value = 225,
skillgroup = "SKG_ASPECTS",
adv_skill_name = "skill_combat_master",
}
Almost all skills (including this one) use the following method to determine a single "SkillValue":
For pre-mastery skill levels:
MeanValue = mean_value
AdjustedSkillLevel = SkillLevel
For post-mastery skill levels:
MeanValue = advance_mean_value
AdjustedSkillLevel = SkillLevel - FLOOR((advance_level + 1) / 2.222)
Then:
SkillValue = FLOOR(20 * MeanValue * (AdjustedSkillLevel + SkillPivotPoint * 0.015) / (AdjustedSkillLevel + SkillPivotPoint))
Where:
- SkillLevel - total skill points in the skill.
- SkillPivotPoint - from balance.txt. Default value is 100.
- mean_value - from the skill definition in creatures.txt.
- advance_level - from the skill definition in creatures.txt.
- advance_mean_value - from the skill definition in creatures.txt.
This "SkillValue" is then used to determine the value of each bonus that the skill provides. Combat Discipline provides only one scalable bonus: Damage +X.
The formula for Damage +X is:
ValueOfBonus = SkillValue
TooltipValue = ValueOfBonus
Since most of the parameters are known in advance, we can simplify the formulas:
For pre-mastery skill levels:
SkillValue = FLOOR(20 * MeanValue * (AdjustedSkillLevel + SkillPivotPoint * 0.015) / (AdjustedSkillLevel + SkillPivotPoint))
SkillValue = FLOOR(20 * 150 * (SkillLevel + 100 * 0.015) / (SkillLevel + 100))
SkillValue = FLOOR(3000 * (SkillLevel + 1.5) / (SkillLevel + 100))
For post-mastery skill levels:
AdjustedSkillLevel = SkillLevel - FLOOR((advance_level + 1) / 2.222)
AdjustedSkillLevel = SkillLevel - FLOOR((75 + 1) / 2.222)
AdjustedSkillLevel = SkillLevel - FLOOR(76 / 2.222)
AdjustedSkillLevel = SkillLevel - FLOOR(34.2034203420342)
AdjustedSkillLevel = SkillLevel - 34
SkillValue = FLOOR(20 * MeanValue * (AdjustedSkillLevel + SkillPivotPoint * 0.015) / (AdjustedSkillLevel + SkillPivotPoint))
SkillValue = FLOOR(20 * 225 * (SkillLevel - 34 + 100 * 0.015) / (SkillLevel - 34 + 100))
SkillValue = FLOOR(4500 * (SkillLevel - 34 + 1.5) / (SkillLevel + 66))
SkillValue = FLOOR(4500 * (SkillLevel - 32.5) / (SkillLevel + 66))
And now, by using these formulas, we can fill in the following table:
- Note: The values for Damage +X are given as a percentage, because that is what this bonus actually does.
| Skill level | Pre-mastery | Post-mastery |
| Damage +X | Damage +X | |
| 1 | +7.4% | |
| 2 | +10.2% | |
| 3 | +13.1% | |
| 4 | +15.8% | |
| 5 | +18.5% | |
| 6 | +21.2% | |
| 7 | +23.8% | |
| 8 | +26.3% | |
| 9 | +28.8% | |
| 10 | +31.3% | |
| 11 | +33.7% | |
| 12 | +36.1% | |
| 13 | +38.4% | |
| 14 | +40.7% | |
| 15 | +43% | |
| 16 | +45.2% | |
| 17 | +47.4% | |
| 18 | +49.5% | |
| 19 | +51.6% | |
| 20 | +53.7% | |
| 21 | +55.7% | |
| 22 | +57.7% | |
| 23 | +59.7% | |
| 24 | +61.6% | |
| 25 | +63.6% | |
| 26 | +65.4% | |
| 27 | +67.3% | |
| 28 | +69.1% | |
| 29 | +70.9% | |
| 30 | +72.6% | |
| 31 | +74.4% | |
| 32 | +76.1% | |
| 33 | +77.8% | |
| 34 | +79.4% | |
| 35 | +81.1% | |
| 36 | +82.7% | |
| 37 | +84.3% | |
| 38 | +85.8% | |
| 39 | +87.4% | |
| 40 | +88.9% | |
| 41 | +90.4% | |
| 42 | +91.9% | |
| 43 | +93.3% | |
| 44 | +94.7% | |
| 45 | +96.2% | |
| 46 | +97.6% | |
| 47 | +98.9% | |
| 48 | +100.3% | |
| 49 | +101.6% | |
| 50 | +103% | |
| 51 | +104.3% | |
| 52 | +105.5% | |
| 53 | +106.8% | |
| 54 | +108.1% | |
| 55 | +109.3% | |
| 56 | +110.5% | |
| 57 | +111.7% | |
| 58 | +112.9% | |
| 59 | +114.1% | |
| 60 | +115.3% | |
| 61 | +116.4% | |
| 62 | +117.5% | |
| 63 | +118.7% | |
| 64 | +119.8% | |
| 65 | +120.9% | |
| 66 | +121.9% | |
| 67 | +123% | |
| 68 | +124.1% | |
| 69 | +125.1% | |
| 70 | +126.1% | |
| 71 | +127.1% | |
| 72 | +128.1% | |
| 73 | +129.1% | |
| 74 | +130.1% | |
| 75 | +131.1% | +135.6% |
| 76 | +132.1% | +137.8% |
| 77 | +133% | +140% |
| 78 | +133.9% | +142.1% |
| 79 | +134.9% | +144.3% |
| 80 | +135.8% | +146.4% |
| 81 | +136.7% | +148.4% |
| 82 | +137.6% | +150.5% |
| 83 | +138.5% | +152.5% |
| 84 | +139.4% | +154.5% |
| 85 | +140.2% | +156.4% |
| 86 | +141.1% | +158.3% |
| 87 | +141.9% | +160.2% |
| 88 | +142.8% | +162.1% |
| 89 | +143.6% | +164% |
| 90 | +144.4% | +165.8% |
| 91 | +145.2% | +167.6% |
| 92 | +146% | +169.4% |
| 93 | +146.8% | +171.2% |
| 94 | +147.6% | +172.9% |
| 95 | +148.4% | +174.6% |
| 96 | +149.2% | +176.3% |
| 97 | +150% | +178% |
| 98 | +150.7% | +179.7% |
| 99 | +151.5% | +181.3% |
| 100 | +152.2% | +182.9% |
| 101 | +152.9% | +184.5% |
| 102 | +153.7% | +186.1% |
| 103 | +154.4% | +187.7% |
| 104 | +155.1% | +189.2% |
| 105 | +155.8% | +190.7% |
| 106 | +156.5% | +192.2% |
| 107 | +157.2% | +193.7% |
| 108 | +157.9% | +195.2% |
| 109 | +158.6% | +196.7% |
| 110 | +159.2% | +198.1% |
| 111 | +159.9% | +199.5% |
| 112 | +160.6% | +200.9% |
| 113 | +161.2% | +202.3% |
| 114 | +161.9% | +203.7% |
| 115 | +162.5% | +205.1% |
| 116 | +163.1% | +206.4% |
| 117 | +163.8% | +207.7% |
| 118 | +164.4% | +209.1% |
| 119 | +165% | +210.4% |
| 120 | +165.6% | +211.6% |
| 121 | +166.2% | +212.9% |
| 122 | +166.8% | +214.2% |
| 123 | +167.4% | +215.4% |
| 124 | +168% | +216.7% |
| 125 | +168.6% | +217.9% |
| 126 | +169.2% | +219.1% |
| 127 | +169.8% | +220.3% |
| 128 | +170.3% | +221.5% |
| 129 | +170.9% | +222.6% |
| 130 | +171.5% | +223.8% |
| 131 | +172% | +225% |
| 132 | +172.6% | +226.1% |
| 133 | +173.1% | +227.2% |
| 134 | +173.7% | +228.3% |
| 135 | +174.2% | +229.4% |
| 136 | +174.7% | +230.5% |
| 137 | +175.3% | +231.6% |
| 138 | +175.8% | +232.7% |
| 139 | +176.3% | +233.7% |
| 140 | +176.8% | +234.8% |
| 141 | +177.3% | +235.8% |
| 142 | +177.8% | +236.8% |
| 143 | +178.3% | +237.9% |
| 144 | +178.8% | +238.9% |
| 145 | +179.3% | +239.9% |
| 146 | +179.8% | +240.9% |
| 147 | +180.3% | +241.9% |
| 148 | +180.8% | +242.8% |
| 149 | +181.3% | +243.8% |
| 150 | +181.8% | +244.7% |
| 151 | +182.2% | +245.7% |
| 152 | +182.7% | +246.6% |
| 153 | +183.2% | +247.6% |
| 154 | +183.6% | +248.5% |
| 155 | +184.1% | +249.4% |
| 156 | +184.5% | +250.3% |
| 157 | +185% | +251.2% |
| 158 | +185.4% | +252.1% |
| 159 | +185.9% | +253% |
| 160 | +186.3% | +253.8% |
| 161 | +186.7% | +254.7% |
| 162 | +187.2% | +255.5% |
| 163 | +187.6% | +256.4% |
| 164 | +188% | +257.2% |
| 165 | +188.4% | +258.1% |
| 166 | +188.9% | +258.9% |
| 167 | +189.3% | +259.7% |
| 168 | +189.7% | +260.5% |
| 169 | +190.1% | +261.3% |
| 170 | +190.5% | +262.1% |
| 171 | +190.9% | +262.9% |
| 172 | +191.3% | +263.7% |
| 173 | +191.7% | +264.5% |
| 174 | +192.1% | +265.3% |
| 175 | +192.5% | +266% |
| 176 | +192.9% | +266.8% |
| 177 | +193.3% | +267.5% |
| 178 | +193.7% | +268.3% |
| 179 | +194% | +269% |
| 180 | +194.4% | +269.8% |
| 181 | +194.8% | +270.5% |
| 182 | +195.2% | +271.2% |
| 183 | +195.5% | +271.9% |
| 184 | +195.9% | +272.7% |
| 185 | +196.3% | +273.4% |
| 186 | +196.6% | +274.1% |
| 187 | +197% | +274.8% |
| 188 | +197.3% | +275.4% |
| 189 | +197.7% | +276.1% |
| 190 | +198.1% | +276.8% |
| 191 | +198.4% | +277.5% |
| 192 | +198.8% | +278.1% |
| 193 | +199.1% | +278.8% |
| 194 | +199.4% | +279.5% |
| 195 | +199.8% | +280.1% |
| 196 | +200.1% | +280.8% |
| 197 | +200.5% | +281.4% |
| 198 | +200.8% | +282.1% |
| 199 | +201.1% | +282.7% |
| 200 | +201.5% | +283.3% |
| 201 | +201.8% | +283.9% |
| 202 | +202.1% | +284.6% |
| 203 | +202.4% | +285.2% |
| 204 | +202.7% | +285.8% |
| 205 | +203.1% | +286.4% |
| 206 | +203.4% | +287% |
| 207 | +203.7% | +287.6% |
| 208 | +204% | +288.2% |
| 209 | +204.3% | +288.8% |
| 210 | +204.6% | +289.4% |
| 211 | +204.9% | +289.9% |
| 212 | +205.2% | +290.5% |
| 213 | +205.5% | +291.1% |
| 214 | +205.8% | +291.6% |
| 215 | +206.1% | +292.2% |
| 216 | +206.4% | +292.8% |
| 217 | +206.7% | +293.3% |
| 218 | +207% | +293.9% |
| 219 | +207.3% | +294.4% |
| 220 | +207.6% | +295% |
| 221 | +207.9% | +295.5% |
| 222 | +208.2% | +296% |
| 223 | +208.5% | +296.6% |
| 224 | +208.7% | +297.1% |
| 225 | +209% | +297.6% |
| 226 | +209.3% | +298.2% |
| 227 | +209.6% | +298.7% |
| 228 | +209.9% | +299.2% |
| 229 | +210.1% | +299.7% |
| 230 | +210.4% | +300.2% |
| 231 | +210.7% | +300.7% |
| 232 | +210.9% | +301.2% |
| 233 | +211.2% | +301.7% |
| 234 | +211.5% | +302.2% |
| 235 | +211.7% | +302.7% |
| 236 | +212% | +303.2% |
| 237 | +212.3% | +303.7% |
| 238 | +212.5% | +304.1% |
| 239 | +212.8% | +304.6% |
| 240 | +213% | +305.1% |
| 241 | +213.3% | +305.6% |
| 242 | +213.5% | +306% |
| 243 | +213.8% | +306.5% |
| 244 | +214% | +307% |
| 245 | +214.3% | +307.4% |
| 246 | +214.5% | +307.9% |
| 247 | +214.8% | +308.3% |
| 248 | +215% | +308.8% |
| 249 | +215.3% | +309.2% |
| 250 | +215.5% | +309.7% |
| 251 | +215.8% | +310.1% |
| 252 | +216% | +310.6% |
| 253 | +216.2% | +311% |
| 254 | +216.5% | +311.4% |
| 255 | +216.7% | +311.9% |
| 256 | +216.9% | +312.3% |
| 257 | +217.2% | +312.7% |
| 258 | +217.4% | +313.1% |
| 259 | +217.6% | +313.6% |
| 260 | +217.9% | +314% |
| 261 | +218.1% | +314.4% |
| 262 | +218.3% | +314.8% |
| 263 | +218.5% | +315.2% |
| 264 | +218.8% | +315.6% |
| 265 | +219% | +316% |
| 266 | +219.2% | +316.4% |
| 267 | +219.4% | +316.8% |
| 268 | +219.7% | +317.2% |
| 269 | +219.9% | +317.6% |
| 270 | +220.1% | +318% |
| 271 | +220.3% | +318.4% |
| 272 | +220.5% | +318.8% |
| 273 | +220.7% | +319.2% |
| 274 | +220.9% | +319.6% |
| 275 | +221.2% | +320% |
| 276 | +221.4% | +320.3% |
| 277 | +221.6% | +320.7% |
| 278 | +221.8% | +321.1% |
| 279 | +222% | +321.5% |
| 280 | +222.2% | +321.8% |
| 281 | +222.4% | +322.2% |
| 282 | +222.6% | +322.6% |
| 283 | +222.8% | +322.9% |
| 284 | +223% | +323.3% |
| 285 | +223.2% | +323.7% |
| 286 | +223.4% | +324% |
| 287 | +223.6% | +324.4% |
| 288 | +223.8% | +324.7% |
| 289 | +224% | +325.1% |
| 290 | +224.2% | +325.4% |
| 291 | +224.4% | +325.8% |
| 292 | +224.6% | +326.1% |
| 293 | +224.8% | +326.5% |
| 294 | +225% | +326.8% |
| 295 | +225.1% | +327.2% |
| 296 | +225.3% | +327.5% |
| 297 | +225.5% | +327.8% |
| 298 | +225.7% | +328.2% |
| 299 | +225.9% | +328.5% |
| 300 | +226.1% | +328.8% |
| 301 | +226.3% | +329.2% |
| 302 | +226.4% | +329.5% |
| 303 | +226.6% | +329.8% |
| 304 | +226.8% | +330.2% |
| 305 | +227% | +330.5% |
| 306 | +227.2% | +330.8% |
| 307 | +227.3% | +331.1% |
| 308 | +227.5% | +331.4% |
| 309 | +227.7% | +331.8% |
| 310 | +227.9% | +332.1% |
| 311 | +228.1% | +332.4% |
| 312 | +228.2% | +332.7% |
| 313 | +228.4% | +333% |
| 314 | +228.6% | +333.3% |
| 315 | +228.7% | +333.6% |
| 316 | +228.9% | +333.9% |
| 317 | +229.1% | +334.2% |
| 318 | +229.3% | +334.5% |
| 319 | +229.4% | +334.8% |
| 320 | +229.6% | +335.1% |
| 321 | +229.8% | +335.4% |
| 322 | +229.9% | +335.7% |
| 323 | +230.1% | +336% |
| 324 | +230.3% | +336.3% |
| 325 | +230.4% | +336.6% |
| 326 | +230.6% | +336.9% |
| 327 | +230.7% | +337.2% |
| 328 | +230.9% | +337.5% |
| 329 | +231.1% | +337.7% |
| 330 | +231.2% | +338% |
| 331 | +231.4% | +338.3% |
| 332 | +231.5% | +338.6% |
| 333 | +231.7% | +338.9% |
| 334 | +231.9% | +339.1% |
| 335 | +232% | +339.4% |
| 336 | +232.2% | +339.7% |
| 337 | +232.3% | +340% |
| 338 | +232.5% | +340.2% |
| 339 | +232.6% | +340.5% |
| 340 | +232.8% | +340.8% |
| 341 | +232.9% | +341% |
| 342 | +233.1% | +341.3% |
| 343 | +233.2% | +341.6% |
| 344 | +233.4% | +341.8% |
| 345 | +233.5% | +342.1% |
| 346 | +233.7% | +342.4% |
| 347 | +233.8% | +342.6% |
| 348 | +234% | +342.9% |
| 349 | +234.1% | +343.1% |
| 350 | +234.3% | +343.4% |
| 351 | +234.4% | +343.7% |
| 352 | +234.6% | +343.9% |
| 353 | +234.7% | +344.2% |
| 354 | +234.9% | +344.4% |
| 355 | +235% | +344.7% |
| 356 | +235.1% | +344.9% |
| 357 | +235.3% | +345.2% |
| 358 | +235.4% | +345.4% |
| 359 | +235.6% | +345.7% |
| 360 | +235.7% | +345.9% |
| 361 | +235.9% | +346.1% |
| 362 | +236% | +346.4% |
| 363 | +236.1% | +346.6% |
| 364 | +236.3% | +346.9% |
| 365 | +236.4% | +347.1% |
| 366 | +236.5% | +347.3% |
| 367 | +236.7% | +347.6% |
| 368 | +236.8% | +347.8% |
| 369 | +236.9% | +348.1% |
| 370 | +237.1% | +348.3% |
| 371 | +237.2% | +348.5% |
| 372 | +237.3% | +348.8% |
| 373 | +237.5% | +349% |
| 374 | +237.6% | +349.2% |
| 375 | +237.7% | +349.4% |
| 376 | +237.9% | +349.7% |
| 377 | +238% | +349.9% |
| 378 | +238.1% | +350.1% |
| 379 | +238.3% | +350.3% |
| 380 | +238.4% | +350.6% |
| 381 | +238.5% | +350.8% |
| 382 | +238.6% | +351% |
| 383 | +238.8% | +351.2% |
| 384 | +238.9% | +351.5% |
| 385 | +239% | +351.7% |
| 386 | +239.1% | +351.9% |
| 387 | +239.3% | +352.1% |
| 388 | +239.4% | +352.3% |
| 389 | +239.5% | +352.5% |
| 390 | +239.6% | +352.7% |
| 391 | +239.8% | +353% |
| 392 | +239.9% | +353.2% |
| 393 | +240% | +353.4% |
| 394 | +240.1% | +353.6% |
| 395 | +240.3% | +353.8% |
| 396 | +240.4% | +354% |
| 397 | +240.5% | +354.2% |
| 398 | +240.6% | +354.4% |
| 399 | +240.7% | +354.6% |
| 400 | +240.9% | +354.8% |
