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%
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230 +48.3293145022391% +62.5140572285393% -80.0119928043174%
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249 +48.9013796627491% +63.0678320817432% -80.480187390201%
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251 +48.9535477284329% +63.1223110018439% -80.5258033106134%
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253 +49.0056093829679% +63.1766294341475% -80.5712065280746%
254 +49.0402581960251% +63.2037286888262% -80.5938288375704%
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256 +49.0921432207704% +63.2533072023518% -80.6351665375678%
257 +49.1180461329715% +63.2802937576499% -80.6576402321083%
258 +49.1439226987625% +63.302752293578% -80.6763285024155%
259 +49.1697729583192% +63.3296662999633% -80.6987068133565%
260 +49.1955969517358% +63.3565408574569% -80.7210333526123%
261 +49.2213947190251% +63.37890625% -80.7395993836672%
262 +49.2471663001184% +63.4057087094413% -80.7618314736437%
263 +49.2729117348664% +63.4280141411679% -80.7803190467038%
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References