Formulate for Arcan Units' Experience

[Yong]

Can anyone help me?

I need the detailed formula on the probability that an arcane unit gain exp in a turn, including the following cases:
1. Channeling I with Arcane trait
2. Channeling II with Arcane trait
3. Channeling III with Arcane trait
1. Channeling I without Arcane trait
2. Channeling II without Arcane trait
3. Channeling III without Arcane trait

I know the old wiki contains the complete formula but with it gone I don't know where to recover.

I need the info because I want to compare the Arcane trait and the Charismatic trait. Under the 2 traits: for Arcane, units gain exp faster; for Charismatic, unit needs less exp to level up. I want to do some maths and see theoretically which one produces a mage/archmage/lv x archmage faster. I have a personally feeling that Arcane might actually be less effective than Charismatic on this point. I want to prove myself right or wrong.

Thanks in advance for any help

 

[Wyrmhero]

Can anyone help me?
I need the info because I want to compare the Arcane trait and the Charismatic trait. Under the 2 traits: for Arcane, units gain exp faster; for Charismatic, unit needs less exp to level up. I want to do some maths and see theoretically which one produces a mage/archmage/lv x archmage faster. I have a personally feeling that Arcane might actually be less effective than Charismatic on this point. I want to prove myself right or wrong.

Thanks in advance for any help

I can tell you that a lv. 6 unit requires 26 xp, and under charismatic, the threshold drops to 20 xp.

 

[xienwolf]

Channeling 1 = 20 free XP
Channeling 2 = 30 free XP
Channeling 3 = 40 free XP

Arcane = 20 free XP


Add up the numbers and then subtract your current XP. That is your percent chance to gain a point of free XP at the start of the turn. This means that, if you wait long enough, an Arcane Archmage can gain free XP till he hits 110 total XP (would have a 1% chance for the last point, so long wait there. But would have a 10% chance to break over 100, so that one IS likely to occur and confuse many people who think you stop at 100)

Normal Levels come at: 2, 5, 10, 17, 26, 37, 50, 65, 82, 101
--(Current level * Current level) + 1

Charismatic Levels come at: 2, 4, 8, 13, 20, 28, 38, 49, 62, 76, 92, 109
--Same formula, but 25% discount, truncated.

 

[Zechnophobe]

Oh, I wrote a program that'll tell you the average time to get from n xp to y xp. I'll see if I can Jar it an upload it (It's in java).

 

[WCH]

I remember hearing that Channeling XP works by calling a number from 1-100 and if that number is higher than the unit's current XP, but lower than the combined value stipulated by each Channeling trait, XP increases by one. Chanelling 1's value is 20, 2's value is 30, 3's value is 40, and Arcane is a straight up 20 bonus.

So... an Adept with 0 XP has a 20% chance to gain 1 XP per turn. Once he does, it becomes 19%, etc. If that adept has Arcane, it's 40% instead.

A Mage with 20 XP has a 30% chance to gain 1 XP each turn.

An Archmage with 80 XP has a 10% chance to gain 1 XP each turn.

Follow?

Disclaimer: I don't actually know the code. This is just my understanding of how it works, and I could be dead wrong.