kmnwolfman

Hi guys, after about a year, I finally returned to Sacred, but before I started playing I did some lurking around DarkMatters. So it happened that I came across this thread where I read the formula for spell regeneration. Playing Sacred Gold with the latest patch 2.28, I noticed that the posted formula for spell regeneration does not produce correct results. The original formula that I thing was used sometime before the latest patch is: __________________________________________________ Spell Regeneration time = { Basic Time + Level Time * (Spell runes read + Spell runes socketed / 2) } * [{ 1 / (1 + MR) } * {1 / (1 + M + SR) } + GM ] * {1 / (1 + MS) } __________________________________________________ The formula that I found to work, at least for Ice Shards(IS) because I did not test it for any other spells, is: __________________________________________________ Spell Regeneration time = { Basic Time + Level Time * (Spell runes read + Spell runes socketed / 2) } * [{ 1 / (1 + MR) } * {1 / (1 + M + SR + GM )} * {1 / (1 + MS) }] __________________________________________________ Test setup: 1. I tested the formula on my level 43 BM: Meditation 5 Water Magic 19 Mental Regeneration 198 that means: M = 54% = 0.54 MS = 55% = 0.55 MR = 198% = 1.98 2. I shall also be using these values for Ghost Meadow(GM): GM level 1 => GM = 100% = 1 GM level 21 => GM = 200% = 2 GM level 41 => GM = 300% = 3 when we don't use Ghost Meadow GM = 0 3. Also a pair of greaves to add Spell regeneration(SR) SR = 50% = 0.5 when the greaves are not equipped SR = 0 Let the testing commence: Using Ice Shards(IS) lvl1 without the greaves equipped and also without Ghost Meadow(GM) cast, the game displays a regeneration of 1.1s. By replacing in the second formula: Basic Time with 5, Level Time with 3, Spell runes read with 1, Spell runes socketed with 0, MR with 1.98, M with 0.54, SR with 0, GM with 0 and MS with 0.55 we get (5+3)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54)} * {1 / (1 + 0.55)} = 8 * {1 / (2.98 * 1.54 * 1.55)} = 8 / 7.11326 = 1.12 ≈ 1.1s By inspecting the two results, marked with bold, we observe that the formula works. Enough holding hands : IS level 1 + GM level 1, game displays 0.7s. (5 + 3)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 1)} * {1 / (1 + 0.55)} = 8 / (2.98 * 2.54 * 1.55) = 8 / 11.73226 = 0.68 ≈ 0.7s IS level 1 + GM level 21, game displays 0.5s. (5 + 3)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 2)} * {1 / (1 + 0.55)} = 8 / (2.98 * 3.54 * 1.55) = 8 / 16.35126 = 0.48 ≈ 0.5s IS level 1 + GM level 41, game displays 0.4s. (5 + 3)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 3)} * {1 / (1 + 0.55)} = 8 / (2.98 * 4.54 * 1.55) = 8 / 20.97026 = 0.38 ≈ 0.4s IS level 1 + SR, game displays 0.8s. (5 + 3)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5)} * {1 / (1 + 0.55)} = 8 / (2.98 * 2.04 * 1.55) = 8 / 9.42276 = 0.84 ≈ 0.8s IS level 1 + SR + GM level 1, game displays 0.6s. (5 + 3)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5 + 1)} * {1 / (1 + 0.55)} = 8 / (2.98 * 3.04 * 1.55) = 8 / 14.04176 = 0.56 ≈ 0.6s IS level 1 + SR + GM level 21, game displays 0.4s. (5 + 3)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5 + 2)} * {1 / (1 + 0.55)} = 8 / (2.98 * 4.04 * 1.55) = 8 / 18.66076 = 0.42 ≈ 0.4s IS level 1 + SR + GM level 41, game displays 0.3s. (5 + 3)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5 + 3)} * {1 / (1 + 0.55)} = 8 / (2.98 * 5.04 * 1.55) = 8 / 23.27976 = 0.34 ≈ 0.3s IS level 2, game displays 1.5s. (5 + 6)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54)} * {1 / (1 + 0.55)} = 11 / (2.98 * 1.54 * 1.55) = 11 / 7.11326 = 1.54 ≈ 1.5s IS level 2 + GM level 1, game displays 0.9s. (5 + 6)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 1)} * {1 / (1 + 0.55)} = 11 / (2.98 * 2.54 * 1.55) = 11 / 11.73226 = 0.93 ≈ 0.9s IS level 2 + GM level 21, game displays 0.7s. (5 + 6)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 2)} * {1 / (1 + 0.55)} = 11 / (2.98 * 3.54 * 1.55) = 11 / 16.35126 = 0.67 ≈ 0.7s IS level 2 + GM level 41, game displays 0.5s. (5 + 6)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 3)} * {1 / (1 + 0.55)} = 11 / (2.98 * 4.54 * 1.55) = 11 / 20.97026 = 0.52 ≈ 0.5s IS level 2 + SR, game displays 1.2s. (5 + 6)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5)} * {1 / (1 + 0.55)} = 11 / (2.98 * 2.04 * 1.55) = 11 / 9.42276 = 1.16 ≈ 1.2s IS level 2 + SR + GM level 1, game displays 0.8s. (5 + 6)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5 + 1)} * {1 / (1 + 0.55)} = 11 / (2.98 * 3.04 * 1.55) = 11 / 14.04176 = 0.78 ≈ 0.8s IS level 2 + SR + GM level 21, game displays 0.6s. (5 + 6)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5 + 2)} * {1 / (1 + 0.55)} = 11 / (2.98 * 4.04 * 1.55) = 11 / 18.66076 = 0.58 ≈ 0.6s IS level 2 + SR + GM level 41, game displays 0.5s. (5 + 6)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5 + 3)} * {1 / (1 + 0.55)} = 11 / (2.98 * 5.04 * 1.55) = 11 / 23.27976 = 0.47 ≈ 0.5s IS level 28, game displays 12.4s. (5 + 84)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54)} * {1 / (1 + 0.55)} = 89 / (2.98 * 1.54 * 1.55) = 89 / 7.11326 = 12.51 ≈ 12.5s IS level 28 + GM level 1, game displays 7.5s. (5 + 84)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 1)} * {1 / (1 + 0.55)} = 89 / (2.98 * 2.54 * 1.55) = 89 / 11.73226 = 7.58 ≈ 7.6s IS level 28 + GM level 21, game displays 5.4s. (5 + 84)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 2)} * {1 / (1 + 0.55)} = 89 / (2.98 * 3.54 * 1.55) = 89 / 16.35126 = 5.44 ≈ 5.4s IS level 28 + GM level 41, game displays 4.2s. (5 + 84)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 3)} * {1 / (1 + 0.55)} = 89 / (2.98 * 4.54 * 1.55) = 89 / 20.97026 = 4.24 ≈ 4.2s IS level 28 + SR, game displays 9.4s. (5 + 84)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5)} * {1 / (1 + 0.55)} = 89 / (2.98 * 2.04 * 1.55) = 89 / 9.42276 = 9.44 ≈ 9.4s IS level 28 + SR + GM level 1, game displays 6.3s. (5 + 84)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5 + 1)} * {1 / (1 + 0.55)} = 89 / (2.98 * 3.04 * 1.55) = 89 / 14.04176 = 6.33 ≈ 6.3s IS level 28 + SR + GM level 21, game displays 4.7s. (5 + 84)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5 + 2)} * {1 / (1 + 0.55)} = 89 / (2.98 * 4.04 * 1.55) = 89 / 18.66076 = 4.76 ≈ 4.8s IS level 28 + SR + GM level 41, game displays 3.8s. (5 + 84)*[{1 / (1 + 1.98)} * {1 / (1 + 0.54 + 0.5 + 3)} * {1 / (1 + 0.55)} = 89 / (2.98 * 5.04 * 1.55) = 89 / 23.27976 = 3.82 ≈ 3.8s DONE. I also tried using the formula for Phase Shift and Fireball and I noticed that the 'Basic Time' and 'Level Time' changed with the latest patch for Sacred. It was easy to observe that Fireball now has 5/3, just like Ice Shards, but I'm too lazy to deduce all the new values, maybe someday I'll get to it. Conclusions: 1. The formula for spell regeneration used in the patch 2.28 is: __________________________________________________ Spell Regeneration time = { Basic Time + Level Time * (Spell runes read + Spell runes socketed / 2) } * [{ 1 / (1 + MR) } * {1 / (1 + M + SR + GM )} * {1 / (1 + MS) }] __________________________________________________ 2. The 'Basic Time' and 'Level Time' for the BM's spells have changed, though Ice Shards still has 5/3. 3. As a BM you are better off spending only 1 point on Meditation, since now spell regeneration from items and GM bonus are added to the Meditation Bonus. Using a lvl181 GM you already have a bonus of 1000%, add to that at least 500% from items and the small bonus you get by investing additional points in Meditation is ridiculously small. So just spend 1 point in Meditation and increase it with +All Skills or +Meditation. Note: I chose, the random value, 500% from items on the assumption that eventually the bonuses will get bigger, considering that at lvl43 my BM already has 300%. 4. I have no idea how the CA regeneration formula would look like with GM but it probably is GM + RSM. 5. Using this formula it appears that some results differ from the displayed results but it's probably due to rounding some values. Corrections are always welcomed.