Starting work on Seeds of Destruction

**bad_captain** · #1 04-15-2010, 05:48 PM

Here are the base End/Mana formulas that I came up with.

Base Endurance / Mana

Code:

if (level < 40) { BaseEnd = floor(15 * level / 4); }
else if (level < 80) { BaseEnd = floor(15 * level / 4 + (15 * (level-40) / 4) ); }
else { BaseEnd = floor(15 * level / 4 + (15 * (level-40) / 4) + 11 * (level - 80) ); }

I feel pretty confident the formulas for END/Mana, so I'll post those as soon as I can have 1 or 2 datapoints to plug into my formulas. The HP formulas just need some datapoints and to clean up a little more.

Base HPs

Warrior

Code:

if (level < 40) { BaseHP = level * 25; }
else if (level < 80) { BaseHP = ((40 * 25) + ((level - 40) * 50)); }
else { BaseHP = ((40 * 25) + (40 * 50) + ((level - 80) * 30)); }

Ranger

Code:

if (level < 40) { BaseHP = level * 23; }
else if (level < 80) { BaseHP = ((40 * 23) + ((level - 40) * 46)); }
else { BaseHP = floor((40 * 23) + (40 * 46) + (55 * (level - 80) / 2)); }

Paladin, Shadow Knight

Code:

if (level < 40) { BaseHP = level * 24; }
else if (level < 80) { BaseHP = ((40 * 24) + ((level - 40) * 48)); }
else { BaseHP = ((40 * 24) + (40 * 48) + ((level - 80) * 29)); }

Beastlord, Berserker, Monk, Rogue, Shaman

Code:

if (level < 40) { BaseHP = floor((level * 21) + (3 * level) / 13); }
else if (level < 80) { BaseHP = floor((40 * 21) + ((level - 40) * 42) + (level / 4) + (level - 40) / 5 ); }
else { BaseHP = ((40 * 21) + (40 * 42) + ((level - 80) * 26) + 30); }

or
if (level < 40) { BaseHP = ((level * 21) + (3 * level) / 13); }
else if (level < 80) { BaseHP = floor((40 * 21.25) + ((level - 40) * 42.5)); }
else { BaseHP = floor((40 * 37.75) + ( level - 40) * 26); }

Bard, Cleric

Code:

if (level < 40) { BaseHP = level * 22; }
else if (level < 80) { BaseHP = ((40 * 22) + ((level - 40) * 44)); }
else { BaseHP = floor((40 * 22) + (40 * 44) + ( 53 * (level - 80) / 2)); }

Wizard, Magician, Necromancer, Enchanter, Druid

Code:

if (level < 40) { BaseHP = level * 20; }
else if (level < 80) { BaseHP = ((40 * 20) + ((level - 40) * 40)); }
else { BaseHP = ((40 * 20) + (40 * 40) + ((level - 80) * 24)); }

**trevius** · #2 04-16-2010, 05:57 AM

Looks like base Mana and Endurance was actually much more simple than I had thought lol. KLS suggested checking diminishing returns, so I did some testing on them for HP/Mana/Endurance. Here is what I came up with:

1. HPs increase at the same rate per STA point until you reach 255 STA. After 255, they increase at the same rate / 2 (so 50% as much increase as before).

2. Mana and Endurance increase at a separate rate up to 100 in their related stats. From 100 to 200, they increase at the rate as shown from my previous test results. Then, for 200+, they increase at that same rate / 2 (so 50% as much increase as 100 to 200 did).

3. Base Mana and Endurance increase rate per level is a flat increase with 3 tiers just like Base HPs are. Since all classes use the same base Mana/Endurance per level, here is the formula for Base Mana/Endurance for all classes:

Code:

if (level < 40) { BaseManaEnd = level * 15; }
else if (level < 80) { BaseManaEnd = ((40 * 15) + ((level - 40) * 30)); }
else { BaseManaEnd = ((40 * 15) + (40 * 30) + ((level - 80) * 18)); }

And here is the result Maudigan's script that I altered to find the actual base of Mana/Endurance:

Class: Wizard

Code:

LVL:1 E:22 M:22 EPer:0.07 MPer:0.07 EBase:15 ManaBase:15
LVL:2 E:44 M:44 EPer:0.14 MPer:0.14 EBase:30 ManaBase:30
LVL:3 E:67 M:67 EPer:0.22 MPer:0.22 EBase:45 ManaBase:45
LVL:4 E:89 M:89 EPer:0.29 MPer:0.29 EBase:60 ManaBase:60
LVL:5 E:112 M:112 EPer:0.37 MPer:0.37 EBase:75 ManaBase:75
LVL:6 E:135 M:135 EPer:0.45 MPer:0.45 EBase:90 ManaBase:90
LVL:7 E:157 M:157 EPer:0.53 MPer:0.53 EBase:104 ManaBase:104 105
LVL:8 E:179 M:179 EPer:0.60 MPer:0.60 EBase:119 ManaBase:119 120
LVL:9 E:202 M:202 EPer:0.68 MPer:0.68 EBase:134 ManaBase:134 135
LVL:10 E:225 M:225 EPer:0.76 MPer:0.76 EBase:149 ManaBase:149 150
LVL:11 E:247 M:247 EPer:0.83 MPer:0.83 EBase:164 ManaBase:164 165
LVL:12 E:270 M:270 EPer:0.91 MPer:0.91 EBase:179 ManaBase:179 180
LVL:13 E:292 M:292 EPer:0.98 MPer:0.98 EBase:194 ManaBase:194 195
LVL:14 E:315 M:315 EPer:1.05 MPer:1.05 EBase:210 ManaBase:210
LVL:15 E:337 M:337 EPer:1.12 MPer:1.12 EBase:225 ManaBase:225
LVL:16 E:359 M:359 EPer:1.19 MPer:1.19 EBase:240 ManaBase:240
LVL:17 E:382 M:382 EPer:1.27 MPer:1.27 EBase:255 ManaBase:255
LVL:18 E:405 M:405 EPer:1.35 MPer:1.35 EBase:270 ManaBase:270
LVL:19 E:427 M:427 EPer:1.42 MPer:1.42 EBase:285 ManaBase:285
LVL:20 E:450 M:450 EPer:1.51 MPer:1.51 EBase:299 ManaBase:299 300
LVL:21 E:472 M:472 EPer:1.58 MPer:1.58 EBase:314 ManaBase:314 315
LVL:22 E:494 M:494 EPer:1.65 MPer:1.65 EBase:329 ManaBase:329 330
LVL:23 E:517 M:517 EPer:1.73 MPer:1.73 EBase:344 ManaBase:344 345
LVL:24 E:540 M:540 EPer:1.81 MPer:1.81 EBase:359 ManaBase:359 360
LVL:25 E:562 M:562 EPer:1.88 MPer:1.88 EBase:374 ManaBase:374 375
LVL:26 E:584 M:584 EPer:1.95 MPer:1.95 EBase:389 ManaBase:389 390
LVL:27 E:607 M:607 EPer:2.02 MPer:2.02 EBase:405 ManaBase:405
LVL:28 E:630 M:630 EPer:2.10 MPer:2.10 EBase:420 ManaBase:420
LVL:29 E:652 M:652 EPer:2.17 MPer:2.17 EBase:435 ManaBase:435
LVL:30 E:675 M:675 EPer:2.25 MPer:2.25 EBase:450 ManaBase:450
LVL:31 E:697 M:697 EPer:2.32 MPer:2.32 EBase:465 ManaBase:465
LVL:32 E:719 M:719 EPer:2.39 MPer:2.39 EBase:480 ManaBase:480
LVL:33 E:742 M:742 EPer:2.47 MPer:2.47 EBase:495 ManaBase:495
LVL:34 E:764 M:764 EPer:2.55 MPer:2.55 EBase:509 ManaBase:509 510
LVL:35 E:787 M:787 EPer:2.63 MPer:2.63 EBase:524 ManaBase:524 525
LVL:36 E:810 M:810 EPer:2.71 MPer:2.71 EBase:539 ManaBase:539 540
LVL:37 E:832 M:832 EPer:2.78 MPer:2.78 EBase:554 ManaBase:554 555
LVL:38 E:855 M:855 EPer:2.86 MPer:2.86 EBase:569 ManaBase:569 570
LVL:39 E:877 M:877 EPer:2.93 MPer:2.93 EBase:584 ManaBase:584 585
LVL:40 E:900 M:900 EPer:3.00 MPer:3.00 EBase:600 ManaBase:600 - Changes
LVL:41 E:944 M:944 EPer:3.14 MPer:3.14 EBase:630 ManaBase:630
LVL:42 E:989 M:989 EPer:3.29 MPer:3.29 EBase:660 ManaBase:660
LVL:43 E:1035 M:1035 EPer:3.45 MPer:3.45 EBase:690 ManaBase:690
LVL:44 E:1080 M:1080 EPer:3.61 MPer:3.61 EBase:719 ManaBase:719 720
LVL:45 E:1125 M:1125 EPer:3.76 MPer:3.76 EBase:749 ManaBase:749 750
LVL:46 E:1169 M:1169 EPer:3.90 MPer:3.90 EBase:779 ManaBase:779 780
LVL:47 E:1214 M:1214 EPer:4.04 MPer:4.04 EBase:810 ManaBase:810
LVL:48 E:1260 M:1260 EPer:4.20 MPer:4.20 EBase:840 ManaBase:840
LVL:49 E:1304 M:1304 EPer:4.34 MPer:4.34 EBase:870 ManaBase:870
LVL:50 E:1350 M:1350 EPer:4.51 MPer:4.51 EBase:899 ManaBase:899 900
LVL:51 E:1395 M:1395 EPer:4.66 MPer:4.66 EBase:929 ManaBase:929 930
LVL:52 E:1439 M:1439 EPer:4.80 MPer:4.80 EBase:959 ManaBase:959 960
LVL:53 E:1485 M:1485 EPer:4.96 MPer:4.96 EBase:989 ManaBase:989 990
LVL:54 E:1529 M:1529 EPer:5.09 MPer:5.09 EBase:1020 ManaBase:1020
LVL:55 E:1575 M:1575 EPer:5.25 MPer:5.25 EBase:1050 ManaBase:1050
LVL:56 E:1620 M:1620 EPer:5.40 MPer:5.40 EBase:1080 ManaBase:1080
LVL:57 E:1664 M:1664 EPer:5.55 MPer:5.55 EBase:1109 ManaBase:1109 1110
LVL:58 E:1710 M:1710 EPer:5.71 MPer:5.71 EBase:1139 ManaBase:1139 1140
LVL:59 E:1754 M:1754 EPer:5.85 MPer:5.85 EBase:1169 ManaBase:1169 1170
LVL:60 E:1800 M:1800 EPer:6.00 MPer:6.00 EBase:1200 ManaBase:1200
LVL:61 E:1845 M:1845 EPer:6.15 MPer:6.15 EBase:1230 ManaBase:1230
LVL:62 E:1889 M:1889 EPer:6.29 MPer:6.29 EBase:1260 ManaBase:1260
LVL:63 E:1935 M:1935 EPer:6.45 MPer:6.45 EBase:1290 ManaBase:1290
LVL:64 E:1979 M:1979 EPer:6.60 MPer:6.60 EBase:1319 ManaBase:1319 1320
LVL:65 E:2025 M:2025 EPer:6.76 MPer:6.76 EBase:1349 ManaBase:1349 1350
LVL:66 E:2070 M:2070 EPer:6.91 MPer:6.91 EBase:1379 ManaBase:1379 1380
LVL:67 E:2114 M:2114 EPer:7.04 MPer:7.04 EBase:1410 ManaBase:1410
LVL:68 E:2160 M:2160 EPer:7.20 MPer:7.20 EBase:1440 ManaBase:1440
LVL:69 E:2204 M:2204 EPer:7.34 MPer:7.34 EBase:1470 ManaBase:1470
LVL:70 E:2250 M:2250 EPer:7.51 MPer:7.51 EBase:1499 ManaBase:1499 1500
LVL:71 E:2295 M:2295 EPer:7.66 MPer:7.66 EBase:1529 ManaBase:1529 1530
LVL:72 E:2339 M:2339 EPer:7.80 MPer:7.80 EBase:1559 ManaBase:1559 1560
LVL:73 E:2385 M:2385 EPer:7.96 MPer:7.96 EBase:1589 ManaBase:1589 1590
LVL:74 E:2429 M:2429 EPer:8.09 MPer:8.09 EBase:1620 ManaBase:1620
LVL:75 E:2475 M:2475 EPer:8.25 MPer:8.25 EBase:1650 ManaBase:1650
LVL:76 E:2520 M:2520 EPer:8.40 MPer:8.40 EBase:1680 ManaBase:1680
LVL:77 E:2565 M:2565 EPer:8.56 MPer:8.56 EBase:1709 ManaBase:1709 1710
LVL:78 E:2609 M:2609 EPer:8.70 MPer:8.70 EBase:1739 ManaBase:1739 1740
LVL:79 E:2654 M:2654 EPer:8.85 MPer:8.85 EBase:1769 ManaBase:1769 1770
LVL:80 E:2700 M:2700 EPer:9.00 MPer:9.00 EBase:1800 ManaBase:1800
LVL:81 E:2718 M:2718 EPer:9.00 MPer:9.00 EBase:1818 ManaBase:1818
LVL:82 E:2736 M:2736 EPer:9.00 MPer:9.00 EBase:1836 ManaBase:1836
LVL:83 E:2754 M:2754 EPer:9.00 MPer:9.00 EBase:1854 ManaBase:1854
LVL:84 E:2773 M:2773 EPer:9.00 MPer:9.00 EBase:1873 ManaBase:1873
LVL:85 E:2791 M:2791 EPer:9.00 MPer:9.00 EBase:1891 ManaBase:1891

For the levels shown that have an extra unnamed field at the end, that is just where I corrected the base value to be the in line with what it should actually be. I am sure the rounding of the float is what caused it to be slightly off for some.

Also, for these tests, I added a hack to set all new characters to start with 0 to all stats. The client actually forces them all to a minimum of 1 to each stat. So, to get the actual base, I just took the difference from what was originally seen as the base (with 1 stat added to it), and then what was seen after adding an item with 100 to all stats (which showed total as 100, not 101!), and then divided that by 99. I then multiplied that value by 100 to get the total amount that should have been added from the item and subtracted that amount from the current Mana/Endurance as shown with the item equipped. This should leave us with the actual base values, and it looks like it all matches up and makes sense to me

So, now that I think we have the base values for HP/Mana/Endurance for all classes, it is just a matter of figuring out the formula for the increase from each stat per level.

As mentioned before, it looks like Mana and Endurance use an unrelated formula for the first 100 in their related stats, so that is one formula to figure out. The next is just the formula from 100 to 200 as shown in my previous testing results. From there, we can figure out the diminishing returns, as they seem to just be the same formula divided by 2.

Then, the 3rd and final formula left is the one for HP gained per stat point per level.

**cavedude** · #3 04-16-2010, 09:50 AM

Quote:

Originally Posted by bad_captain

Wizard, Magician, Necromancer, Enchanter, Druid

Wouldn't Druid be lumped with Bard and Cleric? On Live My Druid always had more base health than my Necro. Then again, I guess it's possible Sony has gimped Druids over time. Haha

**KLS** · #4 04-16-2010, 03:18 PM

To be fair cleric, shaman and druid were previously lumped together.

**cavedude** · #5 04-16-2010, 03:28 PM

Quote:

Originally Posted by KLS

To be fair cleric, shaman and druid were previously lumped together.

Aye, that's right on.

**trevius** · #6 04-16-2010, 04:30 PM

Yeah, it would have made more sense to group them that way, but I have given up on questioning how SOE makes their decisions lol. I was surprised to see that druid got lumped in with the pure casters, but I checked it multiple times to make sure that was correct. At least it is only a fairly small difference.

**trevius** · #7 04-17-2010, 12:04 AM

I adjusted the previous Mana/Endurance output to be what I think it is supposed to be and then added a column to the right that shows the increase for the MPer colum beween each level over the previous level.

Code:

LVL:1 M:22 MPer:0.07 ManaBase:15 .07
LVL:2 M:44 MPer:0.14 ManaBase:30 .07
LVL:3 M:67 MPer:0.22 ManaBase:45 .08
LVL:4 M:89 MPer:0.29 ManaBase:60 .07
LVL:5 M:112 MPer:0.37 ManaBase:75 .08
LVL:6 M:135 MPer:0.45 ManaBase:90 .08
LVL:7 M:157 MPer:0.52 ManaBase:105 .07
LVL:8 M:179 MPer:0.59 ManaBase:120 .07
LVL:9 M:202 MPer:0.67 ManaBase:135 .08
LVL:10 M:225 MPer:0.75 ManaBase:150 .08
LVL:11 M:247 MPer:0.82 ManaBase:165 .07
LVL:12 M:270 MPer:0.90 ManaBase:180 .08
LVL:13 M:292 MPer:0.97 ManaBase:195 .07
LVL:14 M:315 MPer:1.05 ManaBase:210 .08
LVL:15 M:337 MPer:1.12 ManaBase:225 .07
LVL:16 M:359 MPer:1.19 ManaBase:240 .07
LVL:17 M:382 MPer:1.27 ManaBase:255 .08
LVL:18 M:405 MPer:1.35 ManaBase:270 .08
LVL:19 M:427 MPer:1.42 ManaBase:285 .07
LVL:20 M:450 MPer:1.50 ManaBase:300 .08
LVL:21 M:472 MPer:1.57 ManaBase:315 .07
LVL:22 M:494 MPer:1.64 ManaBase:330 .07
LVL:23 M:517 MPer:1.72 ManaBase:345 .08
LVL:24 M:540 MPer:1.80 ManaBase:360 .08
LVL:25 M:562 MPer:1.87 ManaBase:375 .07
LVL:26 M:584 MPer:1.94 ManaBase:390 .07
LVL:27 M:607 MPer:2.02 ManaBase:405 .08
LVL:28 M:630 MPer:2.10 ManaBase:420 .08
LVL:29 M:652 MPer:2.17 ManaBase:435 .07
LVL:30 M:675 MPer:2.25 ManaBase:450 .08
LVL:31 M:697 MPer:2.32 ManaBase:465 .07
LVL:32 M:719 MPer:2.39 ManaBase:480 .07
LVL:33 M:742 MPer:2.47 ManaBase:495 .08
LVL:34 M:764 MPer:2.54 ManaBase:510 .07
LVL:35 M:787 MPer:2.62 ManaBase:525 .08
LVL:36 M:810 MPer:2.70 ManaBase:540 .08
LVL:37 M:832 MPer:2.77 ManaBase:555 .07
LVL:38 M:855 MPer:2.85 ManaBase:570 .08
LVL:39 M:877 MPer:2.92 ManaBase:585 .07
LVL:40 M:900 MPer:3.00 ManaBase:600 .08
LVL:41 M:944 MPer:3.14 ManaBase:630 .14 - Changes
LVL:42 M:989 MPer:3.29 ManaBase:660 .15
LVL:43 M:1035 MPer:3.45 ManaBase:690 .16
LVL:44 M:1080 MPer:3.60 ManaBase:720 .15
LVL:45 M:1125 MPer:3.75 ManaBase:750 .15
LVL:46 M:1169 MPer:3.89 ManaBase:780 .14
LVL:47 M:1214 MPer:4.04 ManaBase:810 .15
LVL:48 M:1260 MPer:4.20 ManaBase:840 .16
LVL:49 M:1304 MPer:4.34 ManaBase:870 .14
LVL:50 M:1350 MPer:4.50 ManaBase:900 .16
LVL:51 M:1395 MPer:4.65 ManaBase:930 .15
LVL:52 M:1439 MPer:4.79 ManaBase:960 .14
LVL:53 M:1485 MPer:4.95 ManaBase:990 .16
LVL:54 M:1529 MPer:5.09 ManaBase:1020 .14
LVL:55 M:1575 MPer:5.25 ManaBase:1050 .16
LVL:56 M:1620 MPer:5.40 ManaBase:1080 .15
LVL:57 M:1664 MPer:5.54 ManaBase:1110 .14
LVL:58 M:1710 MPer:5.70 ManaBase:1140 .16
LVL:59 M:1754 MPer:5.84 ManaBase:1170 .14
LVL:60 M:1800 MPer:6.00 ManaBase:1200 .16
LVL:61 M:1845 MPer:6.15 ManaBase:1230 .15
LVL:62 M:1889 MPer:6.29 ManaBase:1260 .14
LVL:63 M:1935 MPer:6.45 ManaBase:1290 .16
LVL:64 M:1979 MPer:6.59 ManaBase:1320 .14
LVL:65 M:2025 MPer:6.75 ManaBase:1350 .16
LVL:66 M:2070 MPer:6.90 ManaBase:1380 .15
LVL:67 M:2114 MPer:7.04 ManaBase:1410 .14
LVL:68 M:2160 MPer:7.20 ManaBase:1440 .16
LVL:69 M:2204 MPer:7.34 ManaBase:1470 .14
LVL:70 M:2250 MPer:7.50 ManaBase:1500 .16
LVL:71 M:2295 MPer:7.65 ManaBase:1530 .15
LVL:72 M:2339 MPer:7.79 ManaBase:1560 .14
LVL:73 M:2385 MPer:7.95 ManaBase:1590 .16
LVL:74 M:2429 MPer:8.09 ManaBase:1620 .14
LVL:75 M:2475 MPer:8.25 ManaBase:1650 .16
LVL:76 M:2520 MPer:8.40 ManaBase:1680 .15
LVL:77 M:2565 MPer:8.55 ManaBase:1710 .15
LVL:78 M:2609 MPer:8.69 ManaBase:1740 .14
LVL:79 M:2654 MPer:8.84 ManaBase:1770 .15
LVL:80 M:2700 MPer:9.00 ManaBase:1800 .16
LVL:81 M:2718 MPer:9.00 ManaBase:1818 0  - Changes
LVL:82 M:2736 MPer:9.00 ManaBase:1836 0
LVL:83 M:2754 MPer:9.00 ManaBase:1854 0
LVL:84 M:2773 MPer:9.00 ManaBase:1872 0
LVL:85 M:2791 MPer:9.00 ManaBase:1890 0

I think from this, it means that Mana Per Int/Wis is just a flat increase of 7.5 until level 40 and then it increases to 15 for levels 40 to 80, and then down to a 0 increase from 80 to 85. I will have to do some more testing, but if this is true, we should be able to set the complete Mana and Endurance formulas for all classes on SoD. That will just leave the HP increase per stat formula to figure out to have these all done.

I think we are nearly there

**trevius** · #8 04-17-2010, 06:48 AM

Ok, this isn't exactly a pretty function yet, but it should use the math properly at least, which is the important part for now:

Code:

int32 Client::ManaFromIntWis(int8 level, int16 totalintorwis) {
	float mana_per = 0.0;
	int totalmana = 0;
	
	// Do calculations for Mana Per INT/WIS for the first 100 INT/WIS points
	if (level < 40) { 
		mana_per = level * 0.075;
	}
	else if (level < 80) {
		mana_per = (3 + ((level - 40) * 0.15));	// ((40 * 0.075) + ((level - 40) * 0.15))
	}
	else {
		mana_per = 9;	// ((40 * 0.075) + (40 * 0.15))
	}
	
	// Calculate how much mana is added from the first 100 INT/WIS points
	if (totalintorwis > 100) {
		totalmana += mana_per * 100;
		totalintorwis -= 100;
	}
	else {
		totalmana += mana_per * totalintorwis;
		totalintorwis = 0;
	}
	
	// If there was over 100 INT/WIS, do the rest of the Mana Calculations
	if (totalintorwis) {
		// Do calculations for Mana Per INT/WIS for INT/WIS over 100 points
		if (level < 40) { 
			mana_per = level * 0.1875;
		}
		else if (level < 80) {
			mana_per = ((40 * 0.1875) + ((level - 40) * 0.375));
		}
		else {
			mana_per = 22.5;	// ((40 * 0.1875) + (40 * 0.375))
		}
		
		// Calculate how much mana is added for points over 100 INT/WIS
		if (totalintorwis > 100) {
			totalmana += mana_per * 100;
			totalintorwis -= 100;
			totalmana += ((mana_per * totalintorwis) / 2);
		}
		else {
			totalmana += mana_per * totalintorwis;
		}
	}

	return totalmana;
}

That will all be rewritten once I look at how the current HP/Mana/Endurance code is all written currently in the source. But, that should be the formula for nearly exact mana per INT or WIS point. It may add 1 extra mana point for some levels, but that is the most it should ever be off.

That formula should also be able to be used to calculate Endurance with just a few adjustments to account for Endurance gaining stats from all 4 STR/STA/AGI/DEX stats.

So, this should just leave the HP per STA formulas to figure out for the 6 types between all classes. I suspect that will be a flat rate gain just like the Mana/Endurance ones are, so it should be fairly simple to figure it out.