Sacred 2:Combat Reflexes - formulas and tables
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The skill definition can be found in creatures.txt.
mgr.createSkill {
skill_name = "skill_combat_reflexes",
advance_level = 75,
min_level = 1,
mean_value = 200,
advance_mean_value = 300,
skillgroup = "SKG_DEFENCE",
adv_skill_name = "skill_advanced_combat_reflexes",
}
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 Reflexes provides two bonuses: Evade Chance +X% and Chance Against Critical Weapon Hits -X%.
The formula for Evade Chance +X% is:
For pre-mastery skill levels:
IntermediateValue = SkillValue / 3
For post-mastery skill levels:
IntermediateValue = (SkillValue + 1000) / 3
Then:
ValueOfBonus = 1000 * IntermediateValue / (1000 + IntermediateValue)
TooltipValue = ValueOfBonus * 0.1
This TooltipValue is then rounded down to one decimal place.
The formula for Chance Against Critical Weapon Hits -X% is:
ValueOfBonus = 1000 * SkillValue / (1000 + SkillValue)
TooltipValue = -1 * ValueOfBonus * 0.1
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 * 200 * (SkillLevel + 100 * 0.015) / (SkillLevel + 100))
SkillValue = FLOOR(4000 * (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 * 300 * (SkillLevel - 34 + 100 * 0.015) / (SkillLevel - 34 + 100))
SkillValue = FLOOR(6000 * (SkillLevel - 34 + 1.5) / (SkillLevel + 66))
SkillValue = FLOOR(6000 * (SkillLevel - 32.5) / (SkillLevel + 66))
And now, by using these formulas, we can fill in the following table:
Note: The listed values for Evade Chance +X% and Chance Against Critical Weapon Hits -X% are before rounding down. The reason is these operations affect only the tooltips and not the actual calculations.
| Skill level | Pre-mastery | Post-mastery | |
| Evade Chance +X% | Evade Chance +X% | Chance Against Critical Weapon Hits -X% | |
| 1 | +3.1945788964182% | ||
| 2 | +4.36722983742429% | ||
| 3 | +5.4820415879017% | ||
| 4 | +6.57116163189038% | ||
| 5 | +7.60702186633816% | ||
| 6 | +8.62016448370393% | ||
| 7 | +9.55682845945131% | ||
| 8 | +10.4744852282901% | ||
| 9 | +11.3737075332349% | ||
| 10 | +12.2293739028672% | ||
| 11 | +13.0434782608696% | ||
| 12 | +13.8426191843768% | ||
| 13 | +14.602903501281% | ||
| 14 | +15.3259949195597% | ||
| 15 | +16.0369437447523% | ||
| 16 | +16.7360532889259% | ||
| 17 | +17.4008810572687% | ||
| 18 | +18.0551761813712% | ||
| 19 | +18.6771482786663% | ||
| 20 | +19.2680301399354% | ||
| 21 | +19.8503873897943% | ||
| 22 | +20.4244031830239% | ||
| 23 | +20.9694415173867% | ||
| 24 | +21.5070643642072% | ||
| 25 | +22.037422037422% | ||
| 26 | +22.5406661502711% | ||
| 27 | +23.0177059276366% | ||
| 28 | +23.4889058913542% | ||
| 29 | +23.9543726235741% | ||
| 30 | +24.4142101284958% | ||
| 31 | +24.8496993987976% | ||
| 32 | +25.280199252802% | ||
| 33 | +25.6873916274461% | ||
| 34 | +26.090169992609% | ||
| 35 | +26.4886057338887% | ||
| 36 | +26.8649439297903% | ||
| 37 | +27.25509214355% | ||
| 38 | +27.6061776061776% | ||
| 39 | +27.9711884753902% | ||
| 40 | +28.3154121863799% | ||
| 41 | +28.6563614744352% | ||
| 42 | +28.9940828402367% | ||
| 43 | +29.3119698397738% | ||
| 44 | +29.6270232230823% | ||
| 45 | +29.9392807099486% | ||
| 46 | +30.2487793536387% | ||
| 47 | +30.5394767307247% | ||
| 48 | +30.8277611252018% | ||
| 49 | +31.113662456946% | ||
| 50 | +31.3972101532129% | ||
| 51 | +31.6628701594533% | ||
| 52 | +31.926480599047% | ||
| 53 | +32.1880650994575% | ||
| 54 | +32.4476469263679% | ||
| 55 | +32.7052489905787% | ||
| 56 | +32.9459097004917% | ||
| 57 | +33.184855233853% | ||
| 58 | +33.422103861518% | ||
| 59 | +33.6576735957541% | ||
| 60 | +33.8770112409081% | ||
| 61 | +34.0949033391916% | ||
| 62 | +34.3113641340048% | ||
| 63 | +34.5264076822348% | ||
| 64 | +34.7400478572982% | ||
| 65 | +34.9522983521249% | ||
| 66 | +35.1491569390402% | ||
| 67 | +35.3448275862069% | ||
| 68 | +35.5393210141813% | ||
| 69 | +35.73264781491% | ||
| 70 | +35.9248184536523% | ||
| 71 | +36.1022364217252% | ||
| 72 | +36.2922064132512% | ||
| 73 | +36.4675984752224% | ||
| 74 | +36.6420274551214% | ||
| 75 | +36.81550126369% | +48.3471074380165% | -64.3874643874644% |
| 76 | +36.9880277252678% | +48.6125385405961% | -64.7639182522903% |
| 77 | +37.1596145789694% | +48.8665416737685% | -65.1203348447855% |
| 78 | +37.3171750940242% | +49.1094147582697% | -65.4576856649395% |
| 79 | +37.4739474781159% | +49.3585415259959% | -65.8002735978112% |
| 80 | +37.6429016836417% | +49.5967741935484% | -66.1246612466125% |
| 81 | +37.7980510055982% | +49.8243853487205% | -66.4316884860692% |
| 82 | +37.952430196484% | +50.04995004995% | -66.7332002661344% |
| 83 | +38.0932728023112% | +50.2734957732471% | -67.0293438839433% |
| 84 | +38.2461918484973% | +50.4950495049505% | -67.3202614379085% |
| 85 | +38.3983572895277% | +50.7065395990799% | -67.5955930006481% |
| 86 | +38.5371850030731% | +50.9081983308787% | -67.8559948569592% |
| 87 | +38.6879215205395% | +51.1161805442399% | -68.1224099458081% |
| 88 | +38.8254486133768% | +51.3145082765336% | -68.3744465528147% |
| 89 | +38.9623601220753% | +51.5112332309682% | -68.6225290241607% |
| 90 | +39.0986601705238% | +51.6985992593785% | -68.8570538772968% |
| 91 | +39.2343528458578% | +51.8845228548516% | -69.0880989180835% |
| 92 | +39.3571861734384% | +52.0690206103211% | -69.3157410248543% |
| 93 | +39.4917305365067% | +52.2521088651918% | -69.5400548279013% |
| 94 | +39.6256792111089% | +52.4262607040913% | -69.7519661222021% |
| 95 | +39.7469371359711% | +52.5991467846421% | -69.9609492340042% |
| 96 | +39.8677089597114% | +52.7633443552197% | -70.1581617427634% |
| 97 | +40% | +52.933793536241% | -70.36158861885% |
| 98 | +40.1197604790419% | +53.0956848030019% | -70.5535924617197% |
| 99 | +40.2390438247012% | +53.2564661888439% | -70.7431246342891% |
| 100 | +40.3578528827038% | +53.4089144277062% | -70.9217795870893% |
| 101 | +40.4643778527486% | +53.567559201362% | -71.1066165848021% |
| 102 | +40.58229352347% | +53.7179882752237% | -71.2808730614589% |
| 103 | +40.6997430322198% | +53.860350661335% | -71.4448886350657% |
| 104 | +40.8050513022889% | +54.0088916142879% | -71.6151007663923% |
| 105 | +40.9216226860969% | +54.1494727189363% | -71.7753316398532% |
| 106 | +41.0261450756831% | +54.2891970135609% | -71.9337636822902% |
| 107 | +41.1302982731554% | +54.4280723074586% | -72.0904270164666% |
| 108 | +41.2340842311459% | +54.5661063153112% | -72.2453510963086% |
| 109 | +41.3375048885413% | +54.6964663243733% | -72.3909442297073% |
| 110 | +41.4405621706032% | +54.83288166215% | -72.5425590334981% |
| 111 | +41.5432579890881% | +54.9617174598409% | -72.6850587271237% |
| 112 | +41.6455942423653% | +55.083096271897% | -72.8187007338951% |
| 113 | +41.747572815534% | +55.2105106001792% | -72.9583558680368% |
| 114 | +41.8379216750679% | +55.3305539011316% | -73.0893433799785% |
| 115 | +41.9392297271144% | +55.4499554499555% | -73.2190680235672% |
| 116 | +42.0289855072464% | +55.5687203791469% | -73.3475479744137% |
| 117 | +42.1296296296296% | +55.6868537666174% | -73.474801061008% |
| 118 | +42.2187981510015% | +55.8043606364172% | -73.6008447729673% |
| 119 | +42.3076923076923% | +55.9147685525349% | -73.718791064389% |
| 120 | +42.4073718564024% | +56.0246262093228% | -73.8356881214024% |
| 121 | +42.4956871765382% | +56.1339377101915% | -73.951549882782% |
| 122 | +42.5837320574163% | +56.242707117853% | -74.0663900414938% |
| 123 | +42.6715077393465% | +56.3509384548232% | -74.1802220500904% |
| 124 | +42.7590154550658% | +56.4523152852373% | -74.2864489586012% |
| 125 | +42.8353658536585% | +56.5532223026792% | -74.3918053777209% |
| 126 | +42.9223744292237% | +56.6536627654963% | -74.4963019637847% |
| 127 | +43.0091185410334% | +56.7536399019749% | -74.5999491998984% |
| 128 | +43.0848036425726% | +56.853156910686% | -74.7027573994435% |
| 129 | +43.1710551240765% | +56.9522169608265% | -74.8047367094986% |
| 130 | +43.2463110102157% | +57.0446735395189% | -74.8995983935743% |
| 131 | +43.3320740460899% | +57.1428571428571% | -75% |
| 132 | +43.4069043576684% | +57.2344975053457% | -75.093399750934% |
| 133 | +43.4921830853268% | +57.325746799431% | -75.1861042183623% |
| 134 | +43.5665914221219% | +57.416607523066% | -75.2781211372064% |
| 135 | +43.6408040578621% | +57.5010624734382% | -75.3633899975363% |
| 136 | +43.7148217636023% | +57.5911789652248% | -75.4540991654394% |
| 137 | +43.7886453063519% | +57.6749435665914% | -75.5381604696673% |
| 138 | +43.8622754491018% | +57.7583779217122% | -75.6216479765968% |
| 139 | +43.9357129508503% | +57.8474076155684% | -75.7104687879524% |
| 140 | +44.0089585666293% | +57.9301640723601% | -75.7927862503026% |
| 141 | +44.0820130475303% | +58.006718924972% | -75.8687258687259% |
| 142 | +44.1444796127351% | +58.0888516345348% | -75.949975949976% |
| 143 | +44.2171811082187% | +58.1706636921361% | -76.0306807286673% |
| 144 | +44.2896935933148% | +58.2463465553236% | -76.10513739546% |
| 145 | +44.3516972732332% | +58.3275454924295% | -76.1848059061681% |
| 146 | +44.4238606891441% | +58.4026622296173% | -76.2583095916429% |
| 147 | +44.4855662472243% | +58.477508650519% | -76.3313609467456% |
| 148 | +44.5573831084827% | +58.5520862116607% | -76.4039641340255% |
| 149 | +44.6187926896806% | +58.6263963591229% | -76.4761232651141% |
| 150 | +44.6902654867257% | +58.6947542337877% | -76.5423410743608% |
| 151 | +44.7513812154696% | +58.7685541506322% | -76.6136576239476% |
| 152 | +44.8123620309051% | +58.8364434687157% | -76.6791044776119% |
| 153 | +44.8732083792723% | +58.9097383920011% | -76.7495931178796% |
| 154 | +44.9339207048458% | +58.9771639546014% | -76.8142824020404% |
| 155 | +44.994499449945% | +59.0443686006826% | -76.878612716763% |
| 156 | +45.0549450549451% | +59.111353414202% | -76.9425870417339% |
| 157 | +45.1152579582876% | +59.178119472037% | -77.0062083237526% |
| 158 | +45.1754385964912% | +59.2446678440429% | -77.0694794771841% |
| 159 | +45.2354874041621% | +59.31099959311% | -77.1324033844043% |
| 160 | +45.2954048140044% | +59.3716143011918% | -77.1897810218978% |
| 161 | +45.3551912568306% | +59.4375338020552% | -77.2520473157416% |
| 162 | +45.4148471615721% | +59.4977723774808% | -77.308826866349% |
| 163 | +45.4644610070896% | +59.5632834613829% | -77.3704458022177% |
| 164 | +45.5238786998366% | +59.6231493943473% | -77.4266365688488% |
| 165 | +45.5831670596771% | +59.6828383281817% | -77.482548975456% |
| 166 | +45.632475534614% | +59.7423510466989% | -77.5381850853549% |
| 167 | +45.691527878349% | +59.8016883290902% | -77.5935469415192% |
| 168 | +45.7406402604449% | +59.8608509499599% | -77.6486365668306% |
| 169 | +45.7994579945799% | +59.9198396793587% | -77.7034559643255% |
| 170 | +45.8483754512635% | +59.9733155436958% | -77.7530589543938% |
| 171 | +45.9069599711504% | +60.0319744204636% | -77.8073679538393% |
| 172 | +45.9556836606017% | +60.0851516764236% | -77.8565101860053% |
| 173 | +46.0043196544276% | +60.1434834595456% | -77.9103158824829% |
| 174 | +46.0625674217907% | +60.1963646013003% | -77.9590037469694% |
| 175 | +46.1110113166876% | +60.2491056048761% | -78.0074774576644% |
| 176 | +46.159368269921% | +60.3017070265979% | -78.055738424402% |
| 177 | +46.2076385153308% | +60.3541694198494% | -78.1037880446683% |
| 178 | +46.255822285919% | +60.4064933350931% | -78.1516277037361% |
| 179 | +46.3039198138536% | +60.4586793198893% | -78.1992587747983% |
| 180 | +46.3519313304721% | +60.5107279189154% | -78.2466826190994% |
| 181 | +46.3998570662855% | +60.5626396739845% | -78.2939005860647% |
| 182 | +46.4476972509818% | +60.609243697479% | -78.3362218370884% |
| 183 | +46.4954521134296% | +60.66089693155% | -78.3830523130134% |
| 184 | +46.5431218816821% | +60.7124148768989% | -78.4296807592752% |
| 185 | +46.5907067829802% | +60.758665794637% | -78.4714747039828% |
| 186 | +46.6382070437567% | +60.8048079435589% | -78.5131070047271% |
| 187 | +46.6856228896392% | +60.8559498956159% | -78.5591766723842% |
| 188 | +46.723494938732% | +60.9018636778314% | -78.6004707896426% |
| 189 | +46.7707594038325% | +60.947669877636% | -78.6416061512174% |
| 190 | +46.8179400815458% | +60.9933688727084% | -78.6825836708591% |
| 191 | +46.865037194474% | +61.038961038961% | -78.7234042553192% |
| 192 | +46.9026548672566% | +61.0844467505513% | -78.7640688044171% |
| 193 | +46.9496021220159% | +61.1298263798912% | -78.8045782111064% |
| 194 | +46.9871001943806% | +61.1700750711882% | -78.8404570461278% |
| 195 | +47.0338983050848% | +61.2152553329024% | -78.8806758183738% |
| 196 | +47.0712773465067% | +61.2603305785124% | -78.920741989882% |
| 197 | +47.1179270227393% | +61.3003095975232% | -78.956228956229% |
| 198 | +47.155187599084% | +61.3451874758407% | -78.9960092417559% |
| 199 | +47.2016895459345% | +61.3849916334149% | -79.0312434472636% |
| 200 | +47.2388322194865% | +61.4296734379018% | -79.0707408957723% |
| 201 | +47.2851871375857% | +61.4693038787567% | -79.1057250313414% |
| 202 | +47.3222124670764% | +61.5088529638183% | -79.1405924071756% |
| 203 | +47.3591858220741% | +61.5483209433479% | -79.1753436068305% |
| 204 | +47.3961073119411% | +61.5926257841506% | -79.2143005612139% |
| 205 | +47.4421864050455% | +61.6319222406957% | -79.2488068063914% |
| 206 | +47.4789915966387% | +61.6711383671905% | -79.2831986741247% |
| 207 | +47.5157452764171% | +61.7102744097001% | -79.3174767321613% |
| 208 | +47.5524475524476% | +61.7493306132857% | -79.3516415444972% |
| 209 | +47.5890985324948% | +61.7834394904459% | -79.3814432989691% |
| 210 | +47.6348402862629% | +61.8223466530924% | -79.4153972828324% |
| 211 | +47.6713762428048% | +61.86117467582% | -79.449239621866% |
| 212 | +47.7078612515252% | +61.8999237998476% | -79.4829708658186% |
| 213 | +47.7442954189166% | +61.9337647506662% | -79.5123950010244% |
| 214 | +47.7806788511749% | +61.9723665863861% | -79.5459194109225% |
| 215 | +47.8170116542007% | +62.0060790273556% | -79.5751633986928% |
| 216 | +47.8532939335999% | +62.0445344129555% | -79.6084828711256% |
| 217 | +47.8895257946847% | +62.0781190747061% | -79.6375483608226% |
| 218 | +47.9257073424753% | +62.1164288420255% | -79.670664769262% |
| 219 | +47.9528105482304% | +62.1498864496594% | -79.6995533901746% |
| 220 | +47.9889042995839% | +62.1832850119753% | -79.728360024326% |
| 221 | +48.024948024948% | +62.2166246851385% | -79.7570850202429% |
| 222 | +48.0609418282548% | +62.2499056247641% | -79.7857287244795% |
| 223 | +48.0968858131488% | +62.2878692646134% | -79.8183652875883% |
| 224 | +48.1238111706727% | +62.3210248681236% | -79.8468359532447% |
| 225 | +48.1596682218766% | +62.3541222236165% | -79.875226403703% |
| 226 | +48.1954757382145% | +62.3871614844534% | -79.903536977492% |
| 227 | +48.2312338222606% | +62.4154347281383% | -79.9277398635086% |
| 228 | +48.2580200068989% | +62.4483665039429% | -79.9559029865705% |
| 229 | +48.2936918304033% | +62.4812406203102% | -79.9839871897518% |
| 230 | +48.3293145022391% | +62.5140572285393% | -80.0119928043174% |
| 231 | +48.3559993114133% | +62.5468164794007% | -80.0399201596806% |
| 232 | +48.3915362119388% | +62.5748502994012% | -80.0637958532695% |
| 233 | +48.4181568088033% | +62.6075034276455% | -80.0915787378061% |
| 234 | +48.4536082474227% | +62.640099626401% | -80.1192842942346% |
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