Sacred 2:Concentration - formulas and tables
The skill definition can be found in creatures.txt.
mgr.createSkill {
skill_name = "skill_concentration",
advance_level = 75,
min_level = 0,
mean_value = 100,
advance_mean_value = 150,
skillgroup = "SKG_ASPECTS",
adv_skill_name = "skill_advanced_concentration",
}
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. Concentration provides only one scalable bonus: Regeneration Time -X%.
The formula for Regeneration Time -X% is:
ValueOfBonus = SkillValue
DiminishedValue = 1000 * ValueOfBonus / (1000 + ValueOfBonus)
TooltipValue = -0.1 * DiminishedValue
This TooltipValue is then rounded down to one decimal place.
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 * 100 * (SkillLevel + 100 * 0.015) / (SkillLevel + 100))
SkillValue = FLOOR(2000 * (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 * 150 * (SkillLevel - 34 + 100 * 0.015) / (SkillLevel - 34 + 100))
SkillValue = FLOOR(3000 * (SkillLevel - 34 + 1.5) / (SkillLevel + 66))
SkillValue = FLOOR(3000 * (SkillLevel - 32.5) / (SkillLevel + 66))
And now, by using these formulas, we can fill in the following table:
| Skill level | Pre-mastery | Post-mastery |
| Regeneration Time -X% | Regeneration Time -X% | |
| 1 | -4.6% | |
| 2 | -6.3% | |
| 3 | -8% | |
| 4 | -9.5% | |
| 5 | -10.9% | |
| 6 | -12.3% | |
| 7 | -13.6% | |
| 8 | -14.8% | |
| 9 | -16.1% | |
| 10 | -17.2% | |
| 11 | -18.3% | |
| 12 | -19.4% | |
| 13 | -20.3% | |
| 14 | -21.3% | |
| 15 | -22.2% | |
| 16 | -23.1% | |
| 17 | -24% | |
| 18 | -24.8% | |
| 19 | -25.5% | |
| 20 | -26.3% | |
| 21 | -27% | |
| 22 | -27.7% | |
| 23 | -28.4% | |
| 24 | -29.1% | |
| 25 | -29.7% | |
| 26 | -30.3% | |
| 27 | -30.9% | |
| 28 | -31.5% | |
| 29 | -32% | |
| 30 | -32.6% | |
| 31 | -33.1% | |
| 32 | -33.6% | |
| 33 | -34.1% | |
| 34 | -34.5% | |
| 35 | -35% | |
| 36 | -35.5% | |
| 37 | -35.9% | |
| 38 | -36.3% | |
| 39 | -36.7% | |
| 40 | -37.1% | |
| 41 | -37.5% | |
| 42 | -37.9% | |
| 43 | -38.3% | |
| 44 | -38.6% | |
| 45 | -39% | |
| 46 | -39.3% | |
| 47 | -39.7% | |
| 48 | -40% | |
| 49 | -40.3% | |
| 50 | -40.6% | |
| 51 | -41% | |
| 52 | -41.2% | |
| 53 | -41.5% | |
| 54 | -41.8% | |
| 55 | -42.1% | |
| 56 | -42.4% | |
| 57 | -42.6% | |
| 58 | -42.9% | |
| 59 | -43.2% | |
| 60 | -43.4% | |
| 61 | -43.6% | |
| 62 | -43.9% | |
| 63 | -44.1% | |
| 64 | -44.3% | |
| 65 | -44.6% | |
| 66 | -44.8% | |
| 67 | -45% | |
| 68 | -45.2% | |
| 69 | -45.4% | |
| 70 | -45.6% | |
| 71 | -45.8% | |
| 72 | -46% | |
| 73 | -46.2% | |
| 74 | -46.4% | |
| 75 | -46.6% | -47.4% |
| 76 | -46.8% | -47.8% |
| 77 | -47% | -48.2% |
| 78 | -47.1% | -48.6% |
| 79 | -47.3% | -49% |
| 80 | -47.5% | -49.3% |
| 81 | -47.6% | -49.7% |
| 82 | -47.8% | -50% |
| 83 | -47.9% | -50.3% |
| 84 | -48.1% | -50.7% |
| 85 | -48.3% | -51% |
| 86 | -48.4% | -51.3% |
| 87 | -48.6% | -51.6% |
| 88 | -48.7% | -51.9% |
| 89 | -48.9% | -52.2% |
| 90 | -49% | -52.4% |
| 91 | -49.1% | -52.7% |
| 92 | -49.3% | -53% |
| 93 | -49.4% | -53.2% |
| 94 | -49.5% | -53.5% |
| 95 | -49.7% | -53.7% |
| 96 | -49.8% | -54% |
| 97 | -50% | -54.2% |
| 98 | -50.1% | -54.5% |
| 99 | -50.2% | -54.7% |
| 100 | -50.3% | -54.9% |
| 101 | -50.4% | -55.1% |
| 102 | -50.5% | -55.3% |
| 103 | -50.7% | -55.5% |
| 104 | -50.8% | -55.7% |
| 105 | -50.9% | -55.9% |
| 106 | -51% | -56.1% |
| 107 | -51.1% | -56.3% |
| 108 | -51.2% | -56.5% |
| 109 | -51.3% | -56.7% |
| 110 | -51.4% | -56.9% |
| 111 | -51.5% | -57% |
| 112 | -51.6% | -57.2% |
| 113 | -51.8% | -57.4% |
| 114 | -51.8% | -57.5% |
| 115 | -51.9% | -57.7% |
| 116 | -52% | -57.9% |
| 117 | -52.1% | -58% |
| 118 | -52.2% | -58.2% |
| 119 | -52.3% | -58.3% |
| 120 | -52.4% | -58.5% |
| 121 | -52.5% | -58.6% |
| 122 | -52.6% | -58.8% |
| 123 | -52.7% | -58.9% |
| 124 | -52.8% | -59% |
| 125 | -52.9% | -59.2% |
| 126 | -53% | -59.3% |
| 127 | -53% | -59.4% |
| 128 | -53.1% | -59.6% |
| 129 | -53.2% | -59.7% |
| 130 | -53.3% | -59.8% |
| 131 | -53.4% | -60% |
| 132 | -53.4% | -60.1% |
| 133 | -53.5% | -60.2% |
| 134 | -53.6% | -60.3% |
| 135 | -53.7% | -60.4% |
| 136 | -53.8% | -60.5% |
| 137 | -53.8% | -60.6% |
| 138 | -53.9% | -60.7% |
| 139 | -54% | -60.9% |
| 140 | -54.1% | -61% |
| 141 | -54.1% | -61.1% |
| 142 | -54.2% | -61.2% |
| 143 | -54.3% | -61.3% |
| 144 | -54.3% | -61.4% |
| 145 | -54.4% | -61.5% |
| 146 | -54.5% | -61.6% |
| 147 | -54.5% | -61.7% |
| 148 | -54.6% | -61.8% |
| 149 | -54.7% | -61.9% |
| 150 | -54.7% | -61.9% |
| 151 | -54.8% | -62% |
| 152 | -54.9% | -62.1% |
| 153 | -54.9% | -62.2% |
| 154 | -55% | -62.3% |
| 155 | -55% | -62.4% |
| 156 | -55.1% | -62.5% |
| 157 | -55.2% | -62.6% |
| 158 | -55.2% | -62.6% |
| 159 | -55.3% | -62.7% |
| 160 | -55.3% | -62.8% |
| 161 | -55.4% | -62.9% |
| 162 | -55.5% | -63% |
| 163 | -55.5% | -63% |
| 164 | -55.6% | -63.1% |
| 165 | -55.6% | -63.2% |
| 166 | -55.7% | -63.3% |
| 167 | -55.7% | -63.3% |
| 168 | -55.8% | -63.4% |
| 169 | -55.8% | -63.5% |
| 170 | -55.9% | -63.5% |
| 171 | -56% | -63.6% |
| 172 | -56% | -63.7% |
| 173 | -56.1% | -63.8% |
| 174 | -56.1% | -63.8% |
| 175 | -56.1% | -63.9% |
| 176 | -56.2% | -64% |
| 177 | -56.2% | -64% |
| 178 | -56.3% | -64.1% |
| 179 | -56.3% | -64.1% |
| 180 | -56.4% | -64.2% |
| 181 | -56.4% | -64.3% |
| 182 | -56.5% | -64.3% |
| 183 | -56.5% | -64.4% |
| 184 | -56.6% | -64.5% |
| 185 | -56.6% | -64.5% |
| 186 | -56.7% | -64.6% |
| 187 | -56.7% | -64.6% |
| 188 | -56.8% | -64.7% |
| 189 | -56.8% | -64.8% |
| 190 | -56.8% | -64.8% |
| 191 | -56.9% | -64.9% |
| 192 | -56.9% | -64.9% |
| 193 | -57% | -65% |
| 194 | -57% | -65% |
| 195 | -57.1% | -65.1% |
| 196 | -57.1% | -65.1% |
| 197 | -57.1% | -65.2% |
| 198 | -57.2% | -65.2% |
| 199 | -57.2% | -65.3% |
| 200 | -57.3% | -65.3% |
| 201 | -57.3% | -65.4% |
| 202 | -57.3% | -65.4% |
| 203 | -57.4% | -65.5% |
| 204 | -57.4% | -65.5% |
| 205 | -57.5% | -65.6% |
| 206 | -57.5% | -65.6% |
| 207 | -57.5% | -65.7% |
| 208 | -57.6% | -65.7% |
| 209 | -57.6% | -65.8% |
| 210 | -57.6% | -65.8% |
| 211 | -57.7% | -65.9% |
| 212 | -57.7% | -65.9% |
| 213 | -57.8% | -65.9% |
| 214 | -57.8% | -66% |
| 215 | -57.8% | -66% |
| 216 | -57.9% | -66.1% |
| 217 | -57.9% | -66.1% |
| 218 | -57.9% | -66.2% |
| 219 | -58% | -66.2% |
| 220 | -58% | -66.2% |
| 221 | -58% | -66.3% |
| 222 | -58.1% | -66.3% |
| 223 | -58.1% | -66.4% |
| 224 | -58.1% | -66.4% |
| 225 | -58.2% | -66.4% |
| 226 | -58.2% | -66.5% |
| 227 | -58.2% | -66.5% |
| 228 | -58.3% | -66.5% |
| 229 | -58.3% | -66.6% |
| 230 | -58.3% | -66.6% |
| 231 | -58.4% | -66.7% |
| 232 | -58.4% | -66.7% |
| 233 | -58.4% | -66.7% |
| 234 | -58.5% | -66.8% |
| 235 | -58.5% | -66.8% |
| 236 | -58.5% | -66.8% |
| 237 | -58.5% | -66.9% |
| 238 | -58.6% | -66.9% |
| 239 | -58.6% | -67% |
| 240 | -58.6% | -67% |
| 241 | -58.7% | -67% |
| 242 | -58.7% | -67.1% |
| 243 | -58.7% | -67.1% |
| 244 | -58.7% | -67.1% |
| 245 | -58.8% | -67.2% |
| 246 | -58.8% | -67.2% |
| 247 | -58.8% | -67.2% |
| 248 | -58.8% | -67.2% |
| 249 | -58.9% | -67.3% |
| 250 | -58.9% | -67.3% |
| 251 | -58.9% | -67.3% |
| 252 | -59% | -67.4% |
| 253 | -59% | -67.4% |
| 254 | -59% | -67.4% |
| 255 | -59.1% | -67.5% |
| 256 | -59.1% | -67.5% |
| 257 | -59.1% | -67.5% |
| 258 | -59.1% | -67.6% |
| 259 | -59.2% | -67.6% |
| 260 | -59.2% | -67.6% |
| 261 | -59.2% | -67.7% |
| 262 | -59.2% | -67.7% |
| 263 | -59.2% | -67.7% |
| 264 | -59.3% | -67.7% |
| 265 | -59.3% | -67.8% |
| 266 | -59.3% | -67.8% |
| 267 | -59.3% | -67.8% |
| 268 | -59.4% | -67.8% |
| 269 | -59.4% | -67.9% |
| 270 | -59.4% | -67.9% |
| 271 | -59.4% | -67.9% |
| 272 | -59.5% | -68% |
| 273 | -59.5% | -68% |
| 274 | -59.5% | -68% |
| 275 | -59.5% | -68% |
| 276 | -59.6% | -68.1% |
| 277 | -59.6% | -68.1% |
| 278 | -59.6% | -68.1% |
| 279 | -59.6% | -68.1% |
| 280 | -59.6% | -68.2% |
| 281 | -59.7% | -68.2% |
| 282 | -59.7% | -68.2% |
| 283 | -59.7% | -68.2% |
| 284 | -59.7% | -68.3% |
| 285 | -59.8% | -68.3% |
| 286 | -59.8% | -68.3% |
| 287 | -59.8% | -68.3% |
| 288 | -59.8% | -68.4% |
| 289 | -59.8% | -68.4% |
| 290 | -59.9% | -68.4% |
| 291 | -59.9% | -68.4% |
| 292 | -59.9% | -68.4% |
| 293 | -59.9% | -68.5% |
| 294 | -60% | -68.5% |
| 295 | -60% | -68.5% |
| 296 | -60% | -68.5% |
| 297 | -60% | -68.6% |
| 298 | -60% | -68.6% |
| 299 | -60% | -68.6% |
| 300 | -60.1% | -68.6% |
| 301 | -60.1% | -68.6% |
| 302 | -60.1% | -68.7% |
| 303 | -60.1% | -68.7% |
| 304 | -60.1% | -68.7% |
| 305 | -60.2% | -68.7% |
| 306 | -60.2% | -68.7% |
| 307 | -60.2% | -68.8% |
| 308 | -60.2% | -68.8% |
| 309 | -60.2% | -68.8% |
| 310 | -60.3% | -68.8% |
| 311 | -60.3% | -68.9% |
| 312 | -60.3% | -68.9% |
| 313 | -60.3% | -68.9% |
| 314 | -60.3% | -68.9% |
| 315 | -60.3% | -68.9% |
| 316 | -60.4% | -69% |
| 317 | -60.4% | -69% |
| 318 | -60.4% | -69% |
| 319 | -60.4% | -69% |
| 320 | -60.4% | -69% |
| 321 | -60.5% | -69% |
| 322 | -60.5% | -69.1% |
| 323 | -60.5% | -69.1% |
| 324 | -60.5% | -69.1% |
| 325 | -60.5% | -69.1% |
| 326 | -60.5% | -69.1% |
| 327 | -60.5% | -69.2% |
| 328 | -60.6% | -69.2% |
| 329 | -60.6% | -69.2% |
| 330 | -60.6% | -69.2% |
| 331 | -60.6% | -69.2% |
| 332 | -60.6% | -69.2% |
| 333 | -60.7% | -69.3% |
| 334 | -60.7% | -69.3% |
| 335 | -60.7% | -69.3% |
| 336 | -60.7% | -69.3% |
| 337 | -60.7% | -69.3% |
| 338 | -60.7% | -69.4% |
| 339 | -60.7% | -69.4% |
| 340 | -60.8% | -69.4% |
| 341 | -60.8% | -69.4% |
| 342 | -60.8% | -69.4% |
| 343 | -60.8% | -69.4% |
| 344 | -60.8% | -69.5% |
| 345 | -60.8% | -69.5% |
| 346 | -60.9% | -69.5% |
| 347 | -60.9% | -69.5% |
| 348 | -60.9% | -69.5% |
| 349 | -60.9% | -69.5% |
| 350 | -60.9% | -69.5% |
| 351 | -60.9% | -69.6% |
| 352 | -60.9% | -69.6% |
| 353 | -61% | -69.6% |
| 354 | -61% | -69.6% |
| 355 | -61% | -69.6% |
| 356 | -61% | -69.6% |
| 357 | -61% | -69.7% |
| 358 | -61% | -69.7% |
| 359 | -61% | -69.7% |
| 360 | -61.1% | -69.7% |
| 361 | -61.1% | -69.7% |
| 362 | -61.1% | -69.7% |
| 363 | -61.1% | -69.7% |
| 364 | -61.1% | -69.8% |
| 365 | -61.1% | -69.8% |
| 366 | -61.1% | -69.8% |
| 367 | -61.2% | -69.8% |
| 368 | -61.2% | -69.8% |
| 369 | -61.2% | -69.8% |
| 370 | -61.2% | -69.8% |
| 371 | -61.2% | -69.9% |
| 372 | -61.2% | -69.9% |
| 373 | -61.2% | -69.9% |
| 374 | -61.3% | -69.9% |
| 375 | -61.3% | -69.9% |
| 376 | -61.3% | -69.9% |
| 377 | -61.3% | -69.9% |
| 378 | -61.3% | -70% |
| 379 | -61.3% | -70% |
| 380 | -61.3% | -70% |
| 381 | -61.3% | -70% |
| 382 | -61.4% | -70% |
| 383 | -61.4% | -70% |
| 384 | -61.4% | -70% |
| 385 | -61.4% | -70% |
| 386 | -61.4% | -70.1% |
| 387 | -61.4% | -70.1% |
| 388 | -61.4% | -70.1% |
| 389 | -61.4% | -70.1% |
| 390 | -61.4% | -70.1% |
| 391 | -61.5% | -70.1% |
| 392 | -61.5% | -70.1% |
| 393 | -61.5% | -70.2% |
| 394 | -61.5% | -70.2% |
| 395 | -61.5% | -70.2% |
| 396 | -61.5% | -70.2% |
| 397 | -61.5% | -70.2% |
| 398 | -61.5% | -70.2% |
| 399 | -61.6% | -70.2% |
| 400 | -61.6% | -70.2% |
