Sacred 2:Tactics Lore - formulas and tables

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Revision as of 07:45, 28 November 2024 by Maneus (talk | contribs) (Remove FLOOR operation as precision loss is not observed.)
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The skill definition can be found in creatures.txt.

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",
}


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. Tactics Lore provides two bonuses: Damage +X% and Chance for Critical Hits Increased by +X%.


The formula for Damage +X% is:

ValueOfBonus = SkillValue

TooltipValue = ValueOfBonus * 0.1

This TooltipValue is then subject to precision loss from 32-bit floats, and is rounded down to one decimal place. In short, the resulting value may end up being lower by 0.1.


The formula for Chance for Critical Hits Increased by +X% is:

ValueOfBonus = SkillValue / (10 + CharacterLevel / 20)

TooltipValue = 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 Damage +X% are before applying precision loss. The reason is this operation affects only the tooltip and not the actual damage calculations.

Skill level Pre-mastery Post-mastery
Damage +X% Chance for Critical Hits Increased by +X% Damage +X% Chance for Critical Hits Increased by +X%
Character level 1 Character level 200 Character level 1 Character level 200
1 +9.9% +0.9% +0.4%
2 +13.7% +1.3% +0.6%
3 +17.4% +1.7% +0.8%
4 +21.1% +2% +1%
5 +24.7% +2.4% +1.2%
6 +28.3% +2.8% +1.4%
7 +31.7% +3.1% +1.5%
8 +35.1% +3.4% +1.7%
9 +38.5% +3.8% +1.9%
10 +41.8% +4.1% +2%
11 +45% +4.4% +2.2%
12 +48.2% +4.7% +2.4%
13 +51.3% +5.1% +2.5%
14 +54.3% +5.4% +2.7%
15 +57.3% +5.7% +2.8%
16 +60.3% +6% +3%
17 +63.2% +6.2% +3.1%
18 +66.1% +6.5% +3.3%
19 +68.9% +6.8% +3.4%
20 +71.6% +7.1% +3.5%
21 +74.3% +7.3% +3.7%
22 +77% +7.6% +3.8%
23 +79.6% +7.9% +3.9%
24 +82.2% +8.1% +4.1%
25 +84.8% +8.4% +4.2%
26 +87.3% +8.6% +4.3%
27 +89.7% +8.9% +4.4%
28 +92.1% +9.1% +4.6%
29 +94.5% +9.4% +4.7%
30 +96.9% +9.6% +4.8%
31 +99.2% +9.8% +4.9%
32 +101.5% +10% +5%
33 +103.7% +10.3% +5.1%
34 +105.9% +10.5% +5.2%
35 +108.1% +10.7% +5.4%
36 +110.2% +10.9% +5.5%
37 +112.4% +11.1% +5.6%
38 +114.4% +11.3% +5.7%
39 +116.5% +11.5% +5.8%
40 +118.5% +11.7% +5.9%
41 +120.5% +11.9% +6%
42 +122.5% +12.1% +6.1%
43 +124.4% +12.3% +6.2%
44 +126.3% +12.5% +6.3%
45 +128.2% +12.7% +6.4%
46 +130.1% +12.9% +6.5%
47 +131.9% +13.1% +6.5%
48 +133.7% +13.3% +6.6%
49 +135.5% +13.4% +6.7%
50 +137.3% +13.6% +6.8%
51 +139% +13.8% +6.9%
52 +140.7% +14% +7%
53 +142.4% +14.1% +7.1%
54 +144.1% +14.3% +7.2%
55 +145.8% +14.5% +7.2%
56 +147.4% +14.6% +7.3%
57 +149% +14.8% +7.4%
58 +150.6% +14.9% +7.5%
59 +152.2% +15.1% +7.6%
60 +153.7% +15.2% +7.6%
61 +155.2% +15.4% +7.7%
62 +156.7% +15.5% +7.8%
63 +158.2% +15.7% +7.9%
64 +159.7% +15.8% +7.9%
65 +161.2% +16% +8%
66 +162.6% +16.1% +8.1%
67 +164% +16.3% +8.2%
68 +165.4% +16.4% +8.2%
69 +166.8% +16.5% +8.3%
70 +168.2% +16.7% +8.4%
71 +169.5% +16.8% +8.4%
72 +170.9% +17% +8.5%
73 +172.2% +17.1% +8.6%
74 +173.5% +17.2% +8.6%
75 +174.8% +17.3% +8.7% +180.8% +17.9% +9%
76 +176.1% +17.5% +8.8% +183.8% +18.2% +9.1%
77 +177.4% +17.6% +8.8% +186.7% +18.5% +9.3%
78 +178.6% +17.7% +8.9% +189.5% +18.8% +9.4%
79 +179.8% +17.8% +8.9% +192.4% +19.1% +9.6%
80 +181.1% +18% +9% +195.2% +19.4% +9.7%
81 +182.3% +18.1% +9.1% +197.9% +19.6% +9.8%
82 +183.5% +18.2% +9.1% +200.6% +19.9% +10%
83 +184.6% +18.3% +9.2% +203.3% +20.2% +10.1%
84 +185.8% +18.4% +9.2% +206% +20.4% +10.3%
85 +187% +18.6% +9.3% +208.6% +20.7% +10.4%
86 +188.1% +18.7% +9.4% +211.1% +21% +10.5%
87 +189.3% +18.8% +9.4% +213.7% +21.2% +10.6%
88 +190.4% +18.9% +9.5% +216.2% +21.5% +10.8%
89 +191.5% +19% +9.5% +218.7% +21.7% +10.9%
90 +192.6% +19.1% +9.6% +221.1% +22% +11%
91 +193.7% +19.2% +9.6% +223.5% +22.2% +11.1%
92 +194.7% +19.3% +9.7% +225.9% +22.4% +11.2%
93 +195.8% +19.4% +9.7% +228.3% +22.7% +11.4%
94 +196.9% +19.5% +9.8% +230.6% +22.9% +11.5%
95 +197.9% +19.6% +9.8% +232.9% +23.1% +11.6%
96 +198.9% +19.7% +9.9% +235.1% +23.3% +11.7%
97 +200% +19.9% +10% +237.4% +23.6% +11.8%
98 +201% +20% +10% +239.6% +23.8% +11.9%
99 +202% +20% +10.1% +241.8% +24% +12%
100 +203% +20.1% +10.1% +243.9% +24.2% +12.1%
101 +203.9% +20.2% +10.1% +246.1% +24.4% +12.3%
102 +204.9% +20.3% +10.2% +248.2% +24.6% +12.4%
103 +205.9% +20.4% +10.2% +250.2% +24.8% +12.5%
104 +206.8% +20.5% +10.3% +252.3% +25.1% +12.6%
105 +207.8% +20.6% +10.3% +254.3% +25.3% +12.7%
106 +208.7% +20.7% +10.4% +256.3% +25.5% +12.8%
107 +209.6% +20.8% +10.4% +258.3% +25.7% +12.9%
108 +210.5% +20.9% +10.5% +260.3% +25.9% +13%
109 +211.4% +21% +10.5% +262.2% +26% +13.1%
110 +212.3% +21.1% +10.6% +264.2% +26.2% +13.2%
111 +213.2% +21.2% +10.6% +266.1% +26.4% +13.3%
112 +214.1% +21.3% +10.7% +267.9% +26.6% +13.3%
113 +215% +21.3% +10.7% +269.8% +26.8% +13.4%
114 +215.8% +21.4% +10.7% +271.6% +27% +13.5%
115 +216.7% +21.5% +10.8% +273.4% +27.2% +13.6%
116 +217.5% +21.6% +10.8% +275.2% +27.3% +13.7%
117 +218.4% +21.7% +10.9% +277% +27.5% +13.8%
118 +219.2% +21.8% +10.9% +278.8% +27.7% +13.9%
119 +220% +21.8% +11% +280.5% +27.9% +14%
120 +220.9% +21.9% +11% +282.2% +28% +14.1%
121 +221.7% +22% +11% +283.9% +28.2% +14.1%
122 +222.5% +22.1% +11.1% +285.6% +28.4% +14.2%
123 +223.3% +22.2% +11.1% +287.3% +28.5% +14.3%
124 +224.1% +22.2% +11.2% +288.9% +28.7% +14.4%
125 +224.8% +22.3% +11.2% +290.5% +28.9% +14.5%
126 +225.6% +22.4% +11.2% +292.1% +29% +14.6%
127 +226.4% +22.5% +11.3% +293.7% +29.2% +14.6%
128 +227.1% +22.5% +11.3% +295.3% +29.3% +14.7%
129 +227.9% +22.6% +11.3% +296.9% +29.5% +14.8%
130 +228.6% +22.7% +11.4% +298.4% +29.6% +14.9%
131 +229.4% +22.8% +11.4% +300% +29.8% +15%
132 +230.1% +22.8% +11.5% +301.5% +30% +15%
133 +230.9% +22.9% +11.5% +303% +30.1% +15.1%
134 +231.6% +23% +11.5% +304.5% +30.2% +15.2%
135 +232.3% +23.1% +11.6% +305.9% +30.4% +15.2%
136 +233% +23.1% +11.6% +307.4% +30.5% +15.3%
137 +233.7% +23.2% +11.6% +308.8% +30.7% +15.4%
138 +234.4% +23.3% +11.7% +310.2% +30.8% +15.5%
139 +235.1% +23.3% +11.7% +311.7% +31% +15.5%
140 +235.8% +23.4% +11.7% +313.1% +31.1% +15.6%
141 +236.5% +23.5% +11.8% +314.4% +31.2% +15.7%
142 +237.1% +23.5% +11.8% +315.8% +31.4% +15.7%
143 +237.8% +23.6% +11.8% +317.2% +31.5% +15.8%
144 +238.5% +23.7% +11.9% +318.5% +31.6% +15.9%
145 +239.1% +23.7% +11.9% +319.9% +31.8% +15.9%
146 +239.8% +23.8% +11.9% +321.2% +31.9% +16%
147 +240.4% +23.9% +12% +322.5% +32% +16.1%
148 +241.1% +23.9% +12% +323.8% +32.2% +16.1%
149 +241.7% +24% +12% +325.1% +32.3% +16.2%
150 +242.4% +24.1% +12.1% +326.3% +32.4% +16.3%
151 +243% +24.1% +12.1% +327.6% +32.5% +16.3%
152 +243.6% +24.2% +12.1% +328.8% +32.7% +16.4%
153 +244.2% +24.2% +12.2% +330.1% +32.8% +16.5%
154 +244.8% +24.3% +12.2% +331.3% +32.9% +16.5%
155 +245.4% +24.4% +12.2% +332.5% +33% +16.6%
156 +246% +24.4% +12.3% +333.7% +33.2% +16.6%
157 +246.6% +24.5% +12.3% +334.9% +33.3% +16.7%
158 +247.2% +24.5% +12.3% +336.1% +33.4% +16.8%
159 +247.8% +24.6% +12.3% +337.3% +33.5% +16.8%
160 +248.4% +24.7% +12.4% +338.4% +33.6% +16.9%
161 +249% +24.7% +12.4% +339.6% +33.7% +16.9%
162 +249.6% +24.8% +12.4% +340.7% +33.9% +17%
163 +250.1% +24.8% +12.5% +341.9% +34% +17%
164 +250.7% +24.9% +12.5% +343% +34.1% +17.1%
165 +251.3% +25% +12.5% +344.1% +34.2% +17.2%
166 +251.8% +25% +12.5% +345.2% +34.3% +17.2%
167 +252.4% +25.1% +12.6% +346.3% +34.4% +17.3%
168 +252.9% +25.1% +12.6% +347.4% +34.5% +17.3%
169 +253.5% +25.2% +12.6% +348.5% +34.6% +17.4%
170 +254% +25.2% +12.7% +349.5% +34.7% +17.4%
171 +254.6% +25.3% +12.7% +350.6% +34.8% +17.5%
172 +255.1% +25.3% +12.7% +351.6% +34.9% +17.5%
173 +255.6% +25.4% +12.7% +352.7% +35% +17.6%
174 +256.2% +25.4% +12.8% +353.7% +35.1% +17.6%
175 +256.7% +25.5% +12.8% +354.7% +35.2% +17.7%
176 +257.2% +25.5% +12.8% +355.7% +35.3% +17.7%
177 +257.7% +25.6% +12.8% +356.7% +35.4% +17.8%
178 +258.2% +25.6% +12.9% +357.7% +35.5% +17.8%
179 +258.7% +25.7% +12.9% +358.7% +35.6% +17.9%
180 +259.2% +25.7% +12.9% +359.7% +35.7% +17.9%
181 +259.7% +25.8% +12.9% +360.7% +35.8% +18%
182 +260.2% +25.8% +13% +361.6% +35.9% +18%
183 +260.7% +25.9% +13% +362.6% +36% +18.1%
184 +261.2% +25.9% +13% +363.6% +36.1% +18.1%
185 +261.7% +26% +13% +364.5% +36.2% +18.2%
186 +262.2% +26% +13.1% +365.4% +36.3% +18.2%
187 +262.7% +26.1% +13.1% +366.4% +36.4% +18.3%
188 +263.1% +26.1% +13.1% +367.3% +36.5% +18.3%
189 +263.6% +26.2% +13.1% +368.2% +36.6% +18.4%
190 +264.1% +26.2% +13.2% +369.1% +36.7% +18.4%
191 +264.6% +26.3% +13.2% +370% +36.8% +18.5%
192 +265% +26.3% +13.2% +370.9% +36.9% +18.5%
193 +265.5% +26.4% +13.2% +371.8% +36.9% +18.5%
194 +265.9% +26.4% +13.2% +372.6% +37% +18.6%
195 +266.4% +26.5% +13.3% +373.5% +37.1% +18.6%
196 +266.8% +26.5% +13.3% +374.4% +37.2% +18.7%
197 +267.3% +26.5% +13.3% +375.2% +37.3% +18.7%
198 +267.7% +26.6% +13.3% +376.1% +37.4% +18.8%
199 +268.2% +26.6% +13.4% +376.9% +37.5% +18.8%
200 +268.6% +26.7% +13.4% +377.8% +37.5% +18.8%
201 +269.1% +26.7% +13.4% +378.6% +37.6% +18.9%
202 +269.5% +26.8% +13.4% +379.4% +37.7% +18.9%
203 +269.9% +26.8% +13.4% +380.2% +37.8% +19%
204 +270.3% +26.8% +13.5% +381.1% +37.9% +19%
205 +270.8% +26.9% +13.5% +381.9% +38% +19%
206 +271.2% +26.9% +13.5% +382.7% +38% +19.1%
207 +271.6% +27% +13.5% +383.5% +38.1% +19.1%
208 +272% +27% +13.6% +384.3% +38.2% +19.2%
209 +272.4% +27.1% +13.6% +385% +38.3% +19.2%
210 +272.9% +27.1% +13.6% +385.8% +38.3% +19.2%
211 +273.3% +27.1% +13.6% +386.6% +38.4% +19.3%
212 +273.7% +27.2% +13.6% +387.4% +38.5% +19.3%
213 +274.1% +27.2% +13.7% +388.1% +38.6% +19.4%
214 +274.5% +27.3% +13.7% +388.9% +38.6% +19.4%
215 +274.9% +27.3% +13.7% +389.6% +38.7% +19.4%
216 +275.3% +27.3% +13.7% +390.4% +38.8% +19.5%
217 +275.7% +27.4% +13.7% +391.1% +38.9% +19.5%
218 +276.1% +27.4% +13.8% +391.9% +38.9% +19.5%
219 +276.4% +27.5% +13.8% +392.6% +39% +19.6%
220 +276.8% +27.5% +13.8% +393.3% +39.1% +19.6%
221 +277.2% +27.5% +13.8% +394% +39.2% +19.7%
222 +277.6% +27.6% +13.8% +394.7% +39.2% +19.7%
223 +278% +27.6% +13.9% +395.5% +39.3% +19.7%
224 +278.3% +27.6% +13.9% +396.2% +39.4% +19.8%
225 +278.7% +27.7% +13.9% +396.9% +39.4% +19.8%
226 +279.1% +27.7% +13.9% +397.6% +39.5% +19.8%
227 +279.5% +27.8% +13.9% +398.2% +39.6% +19.9%
228 +279.8% +27.8% +13.9% +398.9% +39.6% +19.9%
229 +280.2% +27.8% +14% +399.6% +39.7% +19.9%
230 +280.6% +27.9% +14% +400.3% +39.8% +20%
231 +280.9% +27.9% +14% +401% +39.9% +20%
232 +281.3% +27.9% +14% +401.6% +39.9% +20%
233 +281.6% +28% +14% +402.3% +40% +20.1%
234 +282% +28% +14.1% +403% +40% +20.1%
235 +282.3% +28% +14.1% +403.6% +40.1% +20.1%
236 +282.7% +28.1% +14.1% +404.3% +40.2% +20.2%
237 +283% +28.1% +14.1% +404.9% +40.2% +20.2%
238 +283.4% +28.1% +14.1% +405.5% +40.3% +20.2%
239 +283.7% +28.2% +14.1% +406.2% +40.4% +20.3%
240 +284.1% +28.2% +14.2% +406.8% +40.4% +20.3%
241 +284.4% +28.2% +14.2% +407.4% +40.5% +20.3%
242 +284.7% +28.3% +14.2% +408.1% +40.6% +20.4%
243 +285.1% +28.3% +14.2% +408.7% +40.6% +20.4%
244 +285.4% +28.3% +14.2% +409.3% +40.7% +20.4%
245 +285.7% +28.4% +14.2% +409.9% +40.7% +20.4%
246 +286.1% +28.4% +14.3% +410.5% +40.8% +20.5%
247 +286.4% +28.4% +14.3% +411.1% +40.9% +20.5%
248 +286.7% +28.5% +14.3% +411.7% +40.9% +20.5%
249 +287.1% +28.5% +14.3% +412.3% +41% +20.6%
250 +287.4% +28.5% +14.3% +412.9% +41% +20.6%
251 +287.7% +28.6% +14.3% +413.5% +41.1% +20.6%
252 +288% +28.6% +14.4% +414.1% +41.2% +20.7%
253 +288.3% +28.6% +14.4% +414.7% +41.2% +20.7%
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References