Difference between revisions of "Sacred 2:Speed Lore - formulas and tables"
(Created page with "The skill definition can be found in '''creatures.txt'''. <pre> mgr.createSkill { skill_name = "skill_speed_lore", advance_level = 75, min_level = 1, mean_value = 150, ad...") |
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The formula for Attack and Defense Value +X is: | The formula for Attack and Defense Value +X is: | ||
<blockquote>ValueOfBonus = SkillValue</blockquote> | <blockquote>ValueOfBonus = SkillValue</blockquote> | ||
− | <blockquote>TooltipValue = | + | <blockquote>TooltipValue = 0.1 * ValueOfBonus</blockquote> |
This TooltipValue is then rounded down. | This TooltipValue is then rounded down. | ||
Line 52: | Line 52: | ||
The formula for Run Speed +X% is: | The formula for Run Speed +X% is: | ||
<blockquote>ValueOfBonus = FLOOR(SkillValue / 15)</blockquote> | <blockquote>ValueOfBonus = FLOOR(SkillValue / 15)</blockquote> | ||
− | <blockquote>TooltipValue = | + | <blockquote>TooltipValue = 0.1 * ValueOfBonus</blockquote> |
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. | 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. | ||
Line 81: | Line 81: | ||
And now, by using these formulas, we can fill in the following table: | And now, by using these formulas, we can fill in the following table: | ||
− | + | * Note: The values for Attack and Defense Value +X are given as percentages, not as fixed values, because that is what this bonus actually does. | |
− | Note: The | + | * Note: The values for Run Speed +X% are without precision loss, because that happens only in the tooltip. |
{| class="skills" | {| class="skills" |
Latest revision as of 14:58, 29 November 2024
The skill definition can be found in creatures.txt.
mgr.createSkill { skill_name = "skill_speed_lore", advance_level = 75, min_level = 1, mean_value = 150, advance_mean_value = 225, skillgroup = "SKG_ATTACK", adv_skill_name = "skill_speed_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. Speed Lore provides two bonuses: Attack and Defence Value +X and Run Speed +X%.
The formula for Attack and Defense Value +X is:
ValueOfBonus = SkillValue
TooltipValue = 0.1 * ValueOfBonus
This TooltipValue is then rounded down.
The formula for Run Speed +X% is:
ValueOfBonus = FLOOR(SkillValue / 15)
TooltipValue = 0.1 * ValueOfBonus
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.
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 Attack and Defense Value +X are given as percentages, not as fixed values, because that is what this bonus actually does.
- Note: The values for Run Speed +X% are without precision loss, because that happens only in the tooltip.
Skill level | Pre-mastery | Post-mastery | ||
Attack and Defense Value +X | Run Speed +X% | Attack and Defense Value +X | Run Speed +X% | |
1 | +7.4% | +0.4% | ||
2 | +10.2% | +0.6% | ||
3 | +13.1% | +0.8% | ||
4 | +15.8% | +1% | ||
5 | +18.5% | +1.2% | ||
6 | +21.2% | +1.4% | ||
7 | +23.8% | +1.5% | ||
8 | +26.3% | +1.7% | ||
9 | +28.8% | +1.9% | ||
10 | +31.3% | +2% | ||
11 | +33.7% | +2.2% | ||
12 | +36.1% | +2.4% | ||
13 | +38.4% | +2.5% | ||
14 | +40.7% | +2.7% | ||
15 | +43% | +2.8% | ||
16 | +45.2% | +3% | ||
17 | +47.4% | +3.1% | ||
18 | +49.5% | +3.3% | ||
19 | +51.6% | +3.4% | ||
20 | +53.7% | +3.5% | ||
21 | +55.7% | +3.7% | ||
22 | +57.7% | +3.8% | ||
23 | +59.7% | +3.9% | ||
24 | +61.6% | +4.1% | ||
25 | +63.6% | +4.2% | ||
26 | +65.4% | +4.3% | ||
27 | +67.3% | +4.4% | ||
28 | +69.1% | +4.6% | ||
29 | +70.9% | +4.7% | ||
30 | +72.6% | +4.8% | ||
31 | +74.4% | +4.9% | ||
32 | +76.1% | +5% | ||
33 | +77.8% | +5.1% | ||
34 | +79.4% | +5.2% | ||
35 | +81.1% | +5.4% | ||
36 | +82.7% | +5.5% | ||
37 | +84.3% | +5.6% | ||
38 | +85.8% | +5.7% | ||
39 | +87.4% | +5.8% | ||
40 | +88.9% | +5.9% | ||
41 | +90.4% | +6% | ||
42 | +91.9% | +6.1% | ||
43 | +93.3% | +6.2% | ||
44 | +94.7% | +6.3% | ||
45 | +96.2% | +6.4% | ||
46 | +97.6% | +6.5% | ||
47 | +98.9% | +6.5% | ||
48 | +100.3% | +6.6% | ||
49 | +101.6% | +6.7% | ||
50 | +103% | +6.8% | ||
51 | +104.3% | +6.9% | ||
52 | +105.5% | +7% | ||
53 | +106.8% | +7.1% | ||
54 | +108.1% | +7.2% | ||
55 | +109.3% | +7.2% | ||
56 | +110.5% | +7.3% | ||
57 | +111.7% | +7.4% | ||
58 | +112.9% | +7.5% | ||
59 | +114.1% | +7.6% | ||
60 | +115.3% | +7.6% | ||
61 | +116.4% | +7.7% | ||
62 | +117.5% | +7.8% | ||
63 | +118.7% | +7.9% | ||
64 | +119.8% | +7.9% | ||
65 | +120.9% | +8% | ||
66 | +121.9% | +8.1% | ||
67 | +123% | +8.2% | ||
68 | +124.1% | +8.2% | ||
69 | +125.1% | +8.3% | ||
70 | +126.1% | +8.4% | ||
71 | +127.1% | +8.4% | ||
72 | +128.1% | +8.5% | ||
73 | +129.1% | +8.6% | ||
74 | +130.1% | +8.6% | ||
75 | +131.1% | +8.7% | +135.6% | +9% |
76 | +132.1% | +8.8% | +137.8% | +9.1% |
77 | +133% | +8.8% | +140% | +9.3% |
78 | +133.9% | +8.9% | +142.1% | +9.4% |
79 | +134.9% | +8.9% | +144.3% | +9.6% |
80 | +135.8% | +9% | +146.4% | +9.7% |
81 | +136.7% | +9.1% | +148.4% | +9.8% |
82 | +137.6% | +9.1% | +150.5% | +10% |
83 | +138.5% | +9.2% | +152.5% | +10.1% |
84 | +139.4% | +9.2% | +154.5% | +10.3% |
85 | +140.2% | +9.3% | +156.4% | +10.4% |
86 | +141.1% | +9.4% | +158.3% | +10.5% |
87 | +141.9% | +9.4% | +160.2% | +10.6% |
88 | +142.8% | +9.5% | +162.1% | +10.8% |
89 | +143.6% | +9.5% | +164% | +10.9% |
90 | +144.4% | +9.6% | +165.8% | +11% |
91 | +145.2% | +9.6% | +167.6% | +11.1% |
92 | +146% | +9.7% | +169.4% | +11.2% |
93 | +146.8% | +9.7% | +171.2% | +11.4% |
94 | +147.6% | +9.8% | +172.9% | +11.5% |
95 | +148.4% | +9.8% | +174.6% | +11.6% |
96 | +149.2% | +9.9% | +176.3% | +11.7% |
97 | +150% | +10% | +178% | +11.8% |
98 | +150.7% | +10% | +179.7% | +11.9% |
99 | +151.5% | +10.1% | +181.3% | +12% |
100 | +152.2% | +10.1% | +182.9% | +12.1% |
101 | +152.9% | +10.1% | +184.5% | +12.3% |
102 | +153.7% | +10.2% | +186.1% | +12.4% |
103 | +154.4% | +10.2% | +187.7% | +12.5% |
104 | +155.1% | +10.3% | +189.2% | +12.6% |
105 | +155.8% | +10.3% | +190.7% | +12.7% |
106 | +156.5% | +10.4% | +192.2% | +12.8% |
107 | +157.2% | +10.4% | +193.7% | +12.9% |
108 | +157.9% | +10.5% | +195.2% | +13% |
109 | +158.6% | +10.5% | +196.7% | +13.1% |
110 | +159.2% | +10.6% | +198.1% | +13.2% |
111 | +159.9% | +10.6% | +199.5% | +13.3% |
112 | +160.6% | +10.7% | +200.9% | +13.3% |
113 | +161.2% | +10.7% | +202.3% | +13.4% |
114 | +161.9% | +10.7% | +203.7% | +13.5% |
115 | +162.5% | +10.8% | +205.1% | +13.6% |
116 | +163.1% | +10.8% | +206.4% | +13.7% |
117 | +163.8% | +10.9% | +207.7% | +13.8% |
118 | +164.4% | +10.9% | +209.1% | +13.9% |
119 | +165% | +11% | +210.4% | +14% |
120 | +165.6% | +11% | +211.6% | +14.1% |
121 | +166.2% | +11% | +212.9% | +14.1% |
122 | +166.8% | +11.1% | +214.2% | +14.2% |
123 | +167.4% | +11.1% | +215.4% | +14.3% |
124 | +168% | +11.2% | +216.7% | +14.4% |
125 | +168.6% | +11.2% | +217.9% | +14.5% |
126 | +169.2% | +11.2% | +219.1% | +14.6% |
127 | +169.8% | +11.3% | +220.3% | +14.6% |
128 | +170.3% | +11.3% | +221.5% | +14.7% |
129 | +170.9% | +11.3% | +222.6% | +14.8% |
130 | +171.5% | +11.4% | +223.8% | +14.9% |
131 | +172% | +11.4% | +225% | +15% |
132 | +172.6% | +11.5% | +226.1% | +15% |
133 | +173.1% | +11.5% | +227.2% | +15.1% |
134 | +173.7% | +11.5% | +228.3% | +15.2% |
135 | +174.2% | +11.6% | +229.4% | +15.2% |
136 | +174.7% | +11.6% | +230.5% | +15.3% |
137 | +175.3% | +11.6% | +231.6% | +15.4% |
138 | +175.8% | +11.7% | +232.7% | +15.5% |
139 | +176.3% | +11.7% | +233.7% | +15.5% |
140 | +176.8% | +11.7% | +234.8% | +15.6% |
141 | +177.3% | +11.8% | +235.8% | +15.7% |
142 | +177.8% | +11.8% | +236.8% | +15.7% |
143 | +178.3% | +11.8% | +237.9% | +15.8% |
144 | +178.8% | +11.9% | +238.9% | +15.9% |
145 | +179.3% | +11.9% | +239.9% | +15.9% |
146 | +179.8% | +11.9% | +240.9% | +16% |
147 | +180.3% | +12% | +241.9% | +16.1% |
148 | +180.8% | +12% | +242.8% | +16.1% |
149 | +181.3% | +12% | +243.8% | +16.2% |
150 | +181.8% | +12.1% | +244.7% | +16.3% |
151 | +182.2% | +12.1% | +245.7% | +16.3% |
152 | +182.7% | +12.1% | +246.6% | +16.4% |
153 | +183.2% | +12.2% | +247.6% | +16.5% |
154 | +183.6% | +12.2% | +248.5% | +16.5% |
155 | +184.1% | +12.2% | +249.4% | +16.6% |
156 | +184.5% | +12.3% | +250.3% | +16.6% |
157 | +185% | +12.3% | +251.2% | +16.7% |
158 | +185.4% | +12.3% | +252.1% | +16.8% |
159 | +185.9% | +12.3% | +253% | +16.8% |
160 | +186.3% | +12.4% | +253.8% | +16.9% |
161 | +186.7% | +12.4% | +254.7% | +16.9% |
162 | +187.2% | +12.4% | +255.5% | +17% |
163 | +187.6% | +12.5% | +256.4% | +17% |
164 | +188% | +12.5% | +257.2% | +17.1% |
165 | +188.4% | +12.5% | +258.1% | +17.2% |
166 | +188.9% | +12.5% | +258.9% | +17.2% |
167 | +189.3% | +12.6% | +259.7% | +17.3% |
168 | +189.7% | +12.6% | +260.5% | +17.3% |
169 | +190.1% | +12.6% | +261.3% | +17.4% |
170 | +190.5% | +12.7% | +262.1% | +17.4% |
171 | +190.9% | +12.7% | +262.9% | +17.5% |
172 | +191.3% | +12.7% | +263.7% | +17.5% |
173 | +191.7% | +12.7% | +264.5% | +17.6% |
174 | +192.1% | +12.8% | +265.3% | +17.6% |
175 | +192.5% | +12.8% | +266% | +17.7% |
176 | +192.9% | +12.8% | +266.8% | +17.7% |
177 | +193.3% | +12.8% | +267.5% | +17.8% |
178 | +193.7% | +12.9% | +268.3% | +17.8% |
179 | +194% | +12.9% | +269% | +17.9% |
180 | +194.4% | +12.9% | +269.8% | +17.9% |
181 | +194.8% | +12.9% | +270.5% | +18% |
182 | +195.2% | +13% | +271.2% | +18% |
183 | +195.5% | +13% | +271.9% | +18.1% |
184 | +195.9% | +13% | +272.7% | +18.1% |
185 | +196.3% | +13% | +273.4% | +18.2% |
186 | +196.6% | +13.1% | +274.1% | +18.2% |
187 | +197% | +13.1% | +274.8% | +18.3% |
188 | +197.3% | +13.1% | +275.4% | +18.3% |
189 | +197.7% | +13.1% | +276.1% | +18.4% |
190 | +198.1% | +13.2% | +276.8% | +18.4% |
191 | +198.4% | +13.2% | +277.5% | +18.5% |
192 | +198.8% | +13.2% | +278.1% | +18.5% |
193 | +199.1% | +13.2% | +278.8% | +18.5% |
194 | +199.4% | +13.2% | +279.5% | +18.6% |
195 | +199.8% | +13.3% | +280.1% | +18.6% |
196 | +200.1% | +13.3% | +280.8% | +18.7% |
197 | +200.5% | +13.3% | +281.4% | +18.7% |
198 | +200.8% | +13.3% | +282.1% | +18.8% |
199 | +201.1% | +13.4% | +282.7% | +18.8% |
200 | +201.5% | +13.4% | +283.3% | +18.8% |
201 | +201.8% | +13.4% | +283.9% | +18.9% |
202 | +202.1% | +13.4% | +284.6% | +18.9% |
203 | +202.4% | +13.4% | +285.2% | +19% |
204 | +202.7% | +13.5% | +285.8% | +19% |
205 | +203.1% | +13.5% | +286.4% | +19% |
206 | +203.4% | +13.5% | +287% | +19.1% |
207 | +203.7% | +13.5% | +287.6% | +19.1% |
208 | +204% | +13.6% | +288.2% | +19.2% |
209 | +204.3% | +13.6% | +288.8% | +19.2% |
210 | +204.6% | +13.6% | +289.4% | +19.2% |
211 | +204.9% | +13.6% | +289.9% | +19.3% |
212 | +205.2% | +13.6% | +290.5% | +19.3% |
213 | +205.5% | +13.7% | +291.1% | +19.4% |
214 | +205.8% | +13.7% | +291.6% | +19.4% |
215 | +206.1% | +13.7% | +292.2% | +19.4% |
216 | +206.4% | +13.7% | +292.8% | +19.5% |
217 | +206.7% | +13.7% | +293.3% | +19.5% |
218 | +207% | +13.8% | +293.9% | +19.5% |
219 | +207.3% | +13.8% | +294.4% | +19.6% |
220 | +207.6% | +13.8% | +295% | +19.6% |
221 | +207.9% | +13.8% | +295.5% | +19.7% |
222 | +208.2% | +13.8% | +296% | +19.7% |
223 | +208.5% | +13.9% | +296.6% | +19.7% |
224 | +208.7% | +13.9% | +297.1% | +19.8% |
225 | +209% | +13.9% | +297.6% | +19.8% |
226 | +209.3% | +13.9% | +298.2% | +19.8% |
227 | +209.6% | +13.9% | +298.7% | +19.9% |
228 | +209.9% | +13.9% | +299.2% | +19.9% |
229 | +210.1% | +14% | +299.7% | +19.9% |
230 | +210.4% | +14% | +300.2% | +20% |
231 | +210.7% | +14% | +300.7% | +20% |
232 | +210.9% | +14% | +301.2% | +20% |
233 | +211.2% | +14% | +301.7% | +20.1% |
234 | +211.5% | +14.1% | +302.2% | +20.1% |
235 | +211.7% | +14.1% | +302.7% | +20.1% |
236 | +212% | +14.1% | +303.2% | +20.2% |
237 | +212.3% | +14.1% | +303.7% | +20.2% |
238 | +212.5% | +14.1% | +304.1% | +20.2% |
239 | +212.8% | +14.1% | +304.6% | +20.3% |
240 | +213% | +14.2% | +305.1% | +20.3% |
241 | +213.3% | +14.2% | +305.6% | +20.3% |
242 | +213.5% | +14.2% | +306% | +20.4% |
243 | +213.8% | +14.2% | +306.5% | +20.4% |
244 | +214% | +14.2% | +307% | +20.4% |
245 | +214.3% | +14.2% | +307.4% | +20.4% |
246 | +214.5% | +14.3% | +307.9% | +20.5% |
247 | +214.8% | +14.3% | +308.3% | +20.5% |
248 | +215% | +14.3% | +308.8% | +20.5% |
249 | +215.3% | +14.3% | +309.2% | +20.6% |
250 | +215.5% | +14.3% | +309.7% | +20.6% |
251 | +215.8% | +14.3% | +310.1% | +20.6% |
252 | +216% | +14.4% | +310.6% | +20.7% |
253 | +216.2% | +14.4% | +311% | +20.7% |
254 | +216.5% | +14.4% | +311.4% | +20.7% |
255 | +216.7% | +14.4% | +311.9% | +20.7% |
256 | +216.9% | +14.4% | +312.3% | +20.8% |
257 | +217.2% | +14.4% | +312.7% | +20.8% |
258 | +217.4% | +14.4% | +313.1% | +20.8% |
259 | +217.6% | +14.5% | +313.6% | +20.9% |
260 | +217.9% | +14.5% | +314% | +20.9% |
261 | +218.1% | +14.5% | +314.4% | +20.9% |
262 | +218.3% | +14.5% | +314.8% | +20.9% |
263 | +218.5% | +14.5% | +315.2% | +21% |
264 | +218.8% | +14.5% | +315.6% | +21% |
265 | +219% | +14.6% | +316% | +21% |
266 | +219.2% | +14.6% | +316.4% | +21% |
267 | +219.4% | +14.6% | +316.8% | +21.1% |
268 | +219.7% | +14.6% | +317.2% | +21.1% |
269 | +219.9% | +14.6% | +317.6% | +21.1% |
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383 | +238.8% | +15.9% | +351.2% | +23.4% |
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389 | +239.5% | +15.9% | +352.5% | +23.5% |
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392 | +239.9% | +15.9% | +353.2% | +23.5% |
393 | +240% | +16% | +353.4% | +23.5% |
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395 | +240.3% | +16% | +353.8% | +23.5% |
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398 | +240.6% | +16% | +354.4% | +23.6% |
399 | +240.7% | +16% | +354.6% | +23.6% |
400 | +240.9% | +16% | +354.8% | +23.6% |