speed handling

[TeoTwawki]

For a little over a year and a half, I have been checking speed values on retail.

The projects speed handling isn't quite right in a number of ways. 1st lets discuss what retail does and used to do.

• Base move speed for mobs varies, but player speed used to be 40 and is now 50.
• All speed values can be checked in 2 ways. There is a packet containing what seems to be an integer values, and in the clients memory there is a floating point value.
• When wearing gear with a movement bonus you will see the resulting speed in floating point form in the client, while the packet with show the base 50+whatever number was from gear -or- an overriding movement boost like flee.
• Flee and gear do not stack. Flee will always show 80 on retail. every time.
• Gear bonus doesn't stack. If you wear a +18% item with a +12% item, only the 18% applies. - handled by [Core] Rework getSpeed() #4729
• Mounts will show 40 unless your mount is a raised chocobo that has weak stats causing it to be less. - handled by e5aaeab and 20872aa
• Contrary to what you may have heard, mobs don't really don't always change their speed value when in chase mode. This doesn't mean that can't move faster - just that no modification to their base value is happening for every mob. Only some mobs do this, and only when target is out of range - like when draw in would kick in. And they have a lot of different values on different mobs, more than any wiki has documented.
• There are signs that other things are in the same byte, that the value is not purely movespeed, with the real range being slightly less than 255 - this may have changed in the past somewhere as SE no longer gives over 200 to players or the "killer mithra" (Omodaka Armor) during the feast of swords event (she now gets 155, the same as trusts). Real increases seem to cease at 240, but nothing on retail moves that fast. Even Cactrot Rapido doesn't even approach that.

Now, because we also have to support not only the old speed and the current speed and custom speeds (boosts) we have some extras to consider:

• Last I checked, our speed modifier is currently use in multiple things that stack but should not. Multiple gears/effects would stack instead of just using the highest value. It IS currently clamped to uint8 though (255) fixed by [Core] Rework getSpeed() #4729
• A recent PR ([LUA] Correct Flee movement speed increase #2499) asserted that flee was a 60% bonus. While that is true in a sense because 50 to 80 is that much when expressed as a percent, retail used the same value back when movespeed was 40. All signs are that it's simply a static value of 80 on retail, and was never changed.
• Currently, flee as was formerly treated as a "double speed" which was already 20 points higher than retails (100 instead of 80) but if we make it a percent and match current retail, then reducing speed to old 2004 retail will make it slower than it was in that era. On a speed boosted server it could make it abnormally high.
  I think flee pretty much needs its own modifier and core check for it in order to do things sanely, so that it just takes base speed and adds to it (not multiplies). flee modifier handled in #6207, mod ID 1085

[Xaver-DaRed]

This was brought to my attention

To clarify for anyone doubting:
This is factually and easily proven incorrect. Speed positive bonus from gear is not additive. Only the highest applies.

[WinterSolstice8]

Everyone would've talked about striders + w.legs back in the day or even now with carmine+1 and skadi's +1, pretty blatantly not true

[TeoTwawki]

boggles my mind how anyone can think retail does that.

[cocosolos]

I did a little testing of movement speed on retail. I used the Windower SpeedChecker addon and changed this line to this: speed:text('%i':format(me.movement_speed * 10)) to get an integer speed value. I assume this is correct and gathered from packet data.

Individual values:

Base speed: 50
Plumb Boots: 30 (-20)
Dusk Gloves: 45 (-5)
Mollusca Mantle: 45 (-5)
Councilor's Garb: 62 (+12)
Jute Boots +1: 59 (+9)

Negative effects seem to be static and stack:

Plumb Boots + Dusk Gloves + Mollusca Mantle = 50 - 20 - 5 - 5 = 20 speed

Positive effects seem to be a multiplier applied after negative effects:

Dusk Gloves + Mollusca Mantle + Councilor's Garb = (50 - 5 - 5) * 1.24 = 49
Dusk Gloves + Mollusca Mantle + Jute Boots = (50 - 5 - 5) * 1.18 = 47

Adding Flee to the equation:

Flee + Plumb Boots = (50 * 2) - (20 * 2) = 60
Flee + Plumb Boots + Dusk Gloves = (50 * 2) - (20 * 2) - (5 * 2) = 50
Flee + Plumb Boots + Dusk Gloves + Mollusca Mantle = (50 * 2) - (20 * 2) - (5 * 2) - (5 * 2) = 40

Unfortunately my testing time was cut short so this was as far as I got. Working with this information, it seems Flee is a +100% modifier to your base speed that gets capped at 80 and also applies to negative gear effects. Unknown if and how positive gear effects are also modified by Flee. Would need to drop flee speed below 80 and test positive gear to determine if and how much the values are changed. Based on the values from stacking positive and negative gear, it seems positive movement speed gear is a multiplier applied after negative gear effects are applied.

I'm thinking the formula looks something like this:

floor((flee * base 50) - (flee * sum(negative gear))) * (1 + positive gear %)

If anyone has a bunch of movement speed altering gear, any additional numbers would be appreciated, as well as how things like Flee, Mazurka, Bolter's Roll, etc interact.

[cocosolos]

After messing around and coming up with inconsistent results for the Jumbotender (3%) cheer, I've finally come up with a solution.

min(floor(floor(floor((base - gear) * gravity) * flee * ((99 + cheer) / 99)) + bolter's roll * gear) + min(quickening + mazurka, 10), 80)

I can only get the cheer to work as a rational number, but it works with every test case I've thrown at it.

Here's some quick and dirty test code:

#include <iostream>

int calcspeed(int dgear, int flee, float igear, int cheer, float weight) {
    int base = 50;
    
    int final = base - dgear;
    final = final * weight;
    final = final * flee;
    final = final * ((99 + cheer)/99.f);
    final = final * igear;
    return final;
}

int main() {
    std::cout << "iGear 18%, 3% cheer, -25% curse = 44 finalSpeed: " << calcspeed(0,1,1.18,3,0.75) << std::endl;
    std::cout << "dGear -25, 3% cheer, -25% curse = 18 finalSpeed: " << calcspeed(25,1,1,3,0.75) << std::endl;
    std::cout << "100% flee, 3% cheer, -25% curse = 76 finalSpeed: " << calcspeed(0,2,1,3,0.75) << std::endl;
    std::cout << "dGear -5 , 100% flee, 3% cheer, -25% curse = 68 finalSpeed: " << calcspeed(5,2,1,3,0.75) << std::endl;
    std::cout << "dGear -10, 100% flee, 3% cheer, -25% curse = 61 finalSpeed: " << calcspeed(10,2,1,3,0.75) << std::endl;
    std::cout << "dGear -20, 100% flee, 3% cheer, -25% curse = 45 finalSpeed: " << calcspeed(20,2,1,3,0.75) << std::endl;
    std::cout << "dGear -25, 100% flee, 3% cheer, -25% curse = 37 finalSpeed: " << calcspeed(25,2,1,3,0.75) << std::endl;
    std::cout << "dGear -30, 100% flee, 3% cheer, -25% curse = 30 finalSpeed: " << calcspeed(30,2,1,3,0.75) << std::endl;
    std::cout << "dGear -10, 18% iGear, 100% flee, 3% cheer, -25% curse = 71 finalSpeed: " << calcspeed(10,2,1.18,3,0.75) << std::endl;
    std::cout << "dGear -10, 3% cheer, -25% curse = 30 finalSpeed: " << calcspeed(10,1,1,3,0.75) << std::endl;
    std::cout << "dGear 0, -25% curse = 37 finalSpeed: " << calcspeed(0,1,1,0,0.75) << std::endl;
    std::cout << "dGear 0, 18% iGear, -25% curse = 43 finalSpeed: " << calcspeed(0,1,1.18,0,0.75) << std::endl;
    std::cout << "dGear -10, -25% curse = 30 finalSpeed: " << calcspeed(10,1,1,0,0.75) << std::endl;
    std::cout << "dGear -30, -25% curse = 15 finalSpeed: " << calcspeed(30,1,1,0,0.75) << std::endl;
    std::cout << "dGear -10, 18% iGear, -25% curse = 35 finalSpeed: " << calcspeed(10,1,1.18,0,0.75) << std::endl;
    std::cout << "dGear 0, -25% curse = 37 finalSpeed: " << calcspeed(0,1,1,0,0.75) << std::endl;
    std::cout << "dGear 0, 100% flee, -25% curse = 74 finalSpeed: " << calcspeed(0,2,1,0,0.75) << std::endl;
    std::cout << "dGear 0, 18% iGear, 100% flee, -25% curse = 80 finalSpeed: " << calcspeed(0,2,1.18,0,0.75) << std::endl;
    std::cout << "dGear -20, 18% iGear, 100% flee, -25% curse = 51 finalSpeed: " << calcspeed(20,2,1.18,0,0.75) << std::endl;
    std::cout << "dGear -25, 18% iGear, 100% flee, -25% curse = 42 finalSpeed: " << calcspeed(25,2,1.18,0,0.75) << std::endl;
    std::cout << "dGear -30, 18% iGear, 100% flee, -25% curse = 35 finalSpeed: " << calcspeed(30,2,1.18,0,0.75) << std::endl;
    std::cout << "Flee + Councilor's Garb + Dusk Gloves + Mollusca Mantle + Plumb Boots = 49: " << calcspeed(30,2,1.24,0,1) << std::endl;
    std::cout << "35 with oneiros axe and dusk gloves, 36 speed with cheer: " << calcspeed(15,1,1,3,1) << std::endl;


    return 1;
}

iGear 18%, 3% cheer, -25% curse = 44 finalSpeed: 44
dGear -25, 3% cheer, -25% curse = 18 finalSpeed: 18
100% flee, 3% cheer, -25% curse = 76 finalSpeed: 76
dGear -5 , 100% flee, 3% cheer, -25% curse = 68 finalSpeed: 68
dGear -10, 100% flee, 3% cheer, -25% curse = 61 finalSpeed: 61
dGear -20, 100% flee, 3% cheer, -25% curse = 45 finalSpeed: 45
dGear -25, 100% flee, 3% cheer, -25% curse = 37 finalSpeed: 37
dGear -30, 100% flee, 3% cheer, -25% curse = 30 finalSpeed: 30
dGear -10, 18% iGear, 100% flee, 3% cheer, -25% curse = 71 finalSpeed: 71
dGear -10, 3% cheer, -25% curse = 30 finalSpeed: 30
dGear 0, -25% curse = 37 finalSpeed: 37
dGear 0, 18% iGear, -25% curse = 43 finalSpeed: 43
dGear -10, -25% curse = 30 finalSpeed: 30
dGear -30, -25% curse = 15 finalSpeed: 15
dGear -10, 18% iGear, -25% curse = 35 finalSpeed: 35
dGear 0, -25% curse = 37 finalSpeed: 37
dGear 0, 100% flee, -25% curse = 74 finalSpeed: 74
dGear 0, 18% iGear, 100% flee, -25% curse = 80 finalSpeed: 87
dGear -20, 18% iGear, 100% flee, -25% curse = 51 finalSpeed: 51
dGear -25, 18% iGear, 100% flee, -25% curse = 42 finalSpeed: 42
dGear -30, 18% iGear, 100% flee, -25% curse = 35 finalSpeed: 35
Flee + Councilor's Garb + Dusk Gloves + Mollusca Mantle + Plumb Boots = 49: 49
35 with oneiros axe and dusk gloves, 36 speed with cheer: 36

Please excuse the formatting, but you can see the expected speed is calculated in each case.

Additionally, I've managed to get my hands on -45 gear speed, which brings me down to 5 base speed. Using an afflictor gets me down to 3 speed, so the lower limit on player speed I'm guessing is either 1 or 0, I still need 1 more piece to check but it may take some time.

[cocosolos]

Finally got my hands on a full -50 speed set and can confirm you can bind yourself at 0 speed from gear.

[WinterSolstice8]

Finally got my hands on a full -50 speed set and can confirm you can bind yourself at 0 speed from gear.

And now what happens if you get gravity 2 and geo-gravity on you? can really only do that in brenner though

I hope it doesnt underflow (I have a report of underflow happening to mobs where they move backwards instead of forwards with gravity 2 and geo-gravity)

[cocosolos]

I hope it doesnt underflow (I have a report of underflow happening to mobs where they move backwards instead of forwards with gravity 2 and geo-gravity)

This was a reported issue on retail that I think was fixed by gravity 2 being nerfed. I can test with afflictor though. I believe gravity 2 just had a bug that let it exceed -100% reduction with empy+3. https://www.ffxiah.com/forum/topic/57001/mov-speed-glitch-with-emp3-sab-grav-ffxi-math-vid/1/

I'm skeptical that the mob is actually moving backwards and wager that it's actually just moving very fast from point to point without time to visually update its rotation.

I'm also working on 1 more piece of reduction gear to see if I can drop it below 0 with gear, but I doubt it.

[cocosolos]

Got some Oily Trousers and confirmed they're -4 speed. Now with -54 movement speed I can confirm player movement speed indeed cannot go below 0. This also allows me to set my speed to 1 for hilariously slow walking. Some other stuff I noticed is that quickening/mazurka don't apply if you're at 0 speed, but Bolter's Roll does and will allow quickening/mazurka to start working again after adjustments. Also Hermes Quencher is +87.5% flee effect. I'll probably open up a PR at some point soonish to fix this stuff, pretty simple adjustments but I just want to make sure I don't think of any other tests before making changes.