Equations
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damagecap = 2.5 * npcrank ; for players, damagecap = 0.5 * decks in most cases. | damagecap = 2.5 * npcrank ; for players, damagecap = 0.5 * decks in most cases. | ||
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| + | The tanh() function is almost linear up to 0.40, therefore if your attack ~= npcdefense , you will do about 0.20 * 2.5 = 0.50 * npcrank (your rank in the case of matched npcs). If your attack > 2 * npcdefense , you will do about npcrank in damage. | ||
| + | |||
| + | To hit around the damagecap on npcs, you need around 10 * npcdefense (~96.4% of cap). | ||
Revision as of 07:04, 30 October 2011
This will be a one-stop shop for common equations needed when playing the game. Credit will be given to original wiki posters who determined equations, and to those who simplify them
Contents |
Planet Equations:
Planet Colonization Cost
Current Simplified Formula (Author - QCubed):
N = Number of Planets Controlled C = (N-1)^3 * 1000
Current Simplified Formula In English (Translated By - QCubed):
(Colonization Cost) = (((Number Of Planets Controlled):-1)^3) * 1000
Original Formula (Author - N/A):
X = Number of Planets Controlled minus one (1) p(x) = (x^3 + 3x^2 + 3x + 1) * 1000
Original Formula In English (Translated By - QCubed):
(Colonization Cost) = ((((Number Of Planets Controlled):-1)^3) + ((3 * ((Number Of Planets Controlled):-1))^2) + (3 * ((Number Of Planets Controlled):-1)) + 1) * 1000
Planet Invasion Cost
Current Simplified Formula (Author - QCubed):
N = Number of Planets Controlled I = (N-1)^3 * 2000
Current Simplified Formula In English (Translated By - QCubed):
(Invasion Cost) = (((Number Of Planets Controlled):-1)^3) * 2000
Original Formula (Author - N/A):
X = Number of Planets Controlled minus one (1) p(x) = ((x^3 + 3x^2 + 3x + 1) * 1000) * 2
Original Formula In English (Translated By - QCubed):
(Colonization Cost) = (((((Number Of Planets Controlled):-1)^3) + ((3 * ((Number Of Planets Controlled):-1))^2) + (3 * ((Number Of Planets Controlled):-1)) + 1) * 1000) * 2
Maximum Planet Limit
Current Simplified Formula (Author - QCubed):
R = Current Rank M = RoundDown((R / 4) + 1)
Current Simplified Formula In English (Translated By - QCubed):
(Maximum Planet Limit) = RoundDown(((Current Rank) / 4) + 1)
Resource Availability Formula
Original Formula (Author - QCubed):
A = Availability Number* R = -1+(A * 0.25) R%= (-1+(A * 0.25) * 100
Note: Availability Multiplier is a number from 0 to no known limit, which corrosponds to the named resource availability starting from No Resource being (0) and incrementing by one per resource upgrade. Hence an artifact which increases "resource availability by 2" (AKA "Two Levels) is incrementing the value of A by 2.
Quick Chart of Availability to corresponding number (v = Very, e = Extremely, u=Ultra, m=Mega):
None = 0, eSparse = 1, vSparse = 2, Sparse = 3, Average = 4, Abundant = 5, vAbundant = 6, eAbundant = 7, Rich = 8, vRich = 9, eRich = 10, uRich = 11, mRich = 12, 1xm Rich = 13, 2x mRich = 14, etc.
Original Formula In English (Translated By - QCubed):
(Resource Multiplier) = -1 + ((Availability Number) * 0.25) (Resource Multiplier In Percent) = (-1 + ((Availability Number) * 0.25)) * 100
Planet Space to Size Formula
Original Formula (Author - QCubed):
Z = Size of Planet (Number System) S = (Z*6)+15 Note: The Size of a Planet is a number from 1 to 11, corrosponding to vTiny = 0 and Mega Collosal = 11, incremening by 1 for each value in between.
Original Formula In English (Translated By - QCubed):
(Space Available) = ((Size Of The Planet) * 6) + 15
Ranks/XP
Total XP For Next Rank (Total)
Original Formula (Author - QCubed):
R = Rank XP(T) = 20 * (R ^ 2)
Original Formula In English (Translated By - QCubed):
(Total XP) = 20 * ((Rank)^2)
XP Needed to reach Next Level (Difference Between Last Rank and Next)
Original Formula (Author - QCubed):
R = Rank XP(D) = (40 * R) + 20
Original Formula In English (Translated By - QCubed):
(Difference in XP) = (40 * (Rank)) + 20
NPC Formulas
Max Damage Inflicted Against an NPC in a Single Shot
Original Formula (Author - QCubed):
M = N * 2.5
Original Formula In English (Translated By - QCubed):
(Max Damage in a Single Shot) = (NPC Rank) * 2.5
Minimum Hits Needed to Kill an NPC
Original Formula (Author - QCubed):
K = (H + S) / ( N * 2.5)
Original Formula In English (Translated By - QCubed):
(Minimum Hits Needed to Kill an NPC) = ((NPC Hull) + (NPC Sheild)) / (( NPC Rank) * 2.5)
Best XP to Energy Ratio for Killing an NPC
Simplified Formula (Author - QCubed):
XP/E = ((B / (K * 5)) + 2
Simplified Formula In English (Translated By - QCubed):
(XP to Energy Ratio) = ((XP Earned on Kill) / ((Minimum Shots) * 5)) + 2
Original Formula (Author - QCubed):
XP/E = ((10 * K) + (B)) / (K * 5)
Original Formula In English (Translated By - QCubed):
(XP to Energy Ratio) = (((Minimum Shots)*10)+(Bonus XP Earned on Kill))/((Minimum Shots)*5)
Combat Formula Approximation
Damage per shot = tanh( attack*(random(0.6 to 1.666)) / (defense * 5) ) * damagecap
damagecap = 2.5 * npcrank ; for players, damagecap = 0.5 * decks in most cases.
The tanh() function is almost linear up to 0.40, therefore if your attack ~= npcdefense , you will do about 0.20 * 2.5 = 0.50 * npcrank (your rank in the case of matched npcs). If your attack > 2 * npcdefense , you will do about npcrank in damage.
To hit around the damagecap on npcs, you need around 10 * npcdefense (~96.4% of cap).