Peter Hutterer: X server pointer acceleration analysis – part 2

Read Part 1 first.

In Part 1 I showed the X server acceleration code as used by the evdev driver (which leaves all acceleration up to the server). In this part, I’ll show the acceleration code as used by the synaptics touchpad driver. This driver installs a device-specific acceleration profile but beyond that the acceleration is… difficult. The profile itself is not necessarily indicative of the real movement, the coordinates are scaled between device-relative, device-absolute, screen-relative, etc. so often that it’s hard to keep track of what the real delta is. So let’s look at the profile only.

Diagram generation

Diagrams were generated by gnuplot, parsing .dat files generated by the ptrveloc tool in the git repo. Helper scripts to regenerate all data are in the repo too. Default values unless otherwise specified:

  • MinSpeed: 0.4
  • MaxSpeed: 0.7
  • AccelFactor: 0.04
  • dpi: 1000 (used for converting units to mm)

All diagrams are limited to 100 mm/s and a factor of 5 so they are directly comparable. From earlier testing I found movements above over 300 mm/s are rare, once you hit 500 mm/s the acceleration doesn’t really matter that much anymore, you’re going to hit the screen edge anyway.

The choice of 1000 dpi is a difficult one. It makes the diagrams directly comparable to those in Part 1but touchpads have a great variety in their resolution. For example, an ALPS DualPoint touchpad may have resolutions of 25-32 units/mm. A Lenovo T440s has a resolution of 42 units/mm over PS/2 but 20 units/mm over the newer SMBus/RMI4 protocol. This is the same touchpad. Overall it doesn’t actually matter that much though, see below.

The acceleration profile

This driver has a custom acceleration profile, configured by the MinSpeed, MaxSpeed and AccelFactor options. The former two put a cap on the factor but MinSpeed also adjusts (overwrites) ConstantDeceleration. The AccelFactor defaults to a device-specific size based on the device diagonal.

Let’s look at the defaults of 0.4/0.7 for min/max and 0.04 (default on my touchpad) for the accel factor:

The simple profile from part 1 is shown in this graph for comparison. The synaptics profile is printed as two curves, one for the profile output value and one for the real value used on the delta. Unlike the simple profile you cannot configure ConstantDeceleration separately, it depends on MinSpeed. Thus the real acceleration factor is always less than 1, so the synaptics driver doesn’t accelerate as such, it controls how much the deltas are decelerated.

The actual acceleration curve is just a plain old linear interpolation between the min and max acceleration values. If you look at the curves closer you’ll find that there is no acceleration up to 20mm/s and flat acceleration from 25mm/s onwards. Only in this small speed range does the driver adjust its acceleration based on input speed. Whether this is in intentional or just happened, I don’t know.

The accel factor depends on the touchpad x/y axis. On my T440s using PS/2, the factor defaults to 0.04. If I get it to use SMBus/RMI4 instead of PS/2, that same device has an accel factor of 0.09. An ALPS touchpad may have a factor of 0.13, based on the min/max values for the x/y axes. These devices all have different resolutions though, so here are the comparison graphs taking the axis range and the resolution into account:

The diagonal affects the accel factor, so these three touchpads (two curves are the same physical touchpad, just using a different bus) get slightly different acceleration curves. They’re more similar than I expected though and for the rest of this post we can get away we just looking at the 0.04 default value from my touchpad.

Note that due to how synaptics is handled in the server, this isn’t the whole story, there is more coordinate scaling etc. happening after the acceleration code. The synaptics acceleration profile also does not acccommodate for uneven x/y resolutions, this is handled in the server afterwards. On touchpads with uneven resolutions the velocity thus depends on the vector, moving along the x axis provides differently sized deltas than moving along the y axis. However, anything applied later isn’t speed dependent but merely a constant scale, so these curves are still a good representation of what happens.

The effect of configurations

What does the acceleration factor do? It changes when acceleration kicks in and how steep the acceleration is.

And how do the min/max values play together? Let’s adjust MinSpeed but leave MaxSpeed at 0.7.

MinSpeed lifts the baseline (i.e. the minimum acceleration factor), somewhat expected from a parameter named this way. But it looks again like we have a bug here. When MinSpeed and MaxSpeed are close together, our acceleration actually decreases once we’re past the threshold. So counterintuitively, a higher MinSpeed can result in a slower cursor once you move faster.

MaxSpeed is not too different here:

The same bug is present, if the MaxSpeed is smaller or close to MinSpeed, our acceleration actually goes down. A quick check of the sources didn’t indicate anything enforcing MinSpeed < MaxSpeed either. But otherwise MaxSpeed lifts the maximum acceleration factor.

These graphs look at the options in separation, in reality users would likely configure both MinSpeed and MaxSpeed at the same time. Since both have an immediate effect on pointer movement, trial and error configuration is simple and straightforward. Below is a graph of all three adjusted semi-randomly:

No suprises in there, the baseline (and thus slowest speed) changes, the maximum acceleration changes and how long it takes to get there changes. The curves vary quite a bit though, so without knowing the configuration options, it’s impossible to predict how a specific touchpad behaves.


The graphs above show the effect of configuration options in the synaptics driver. I purposely didn’t put any specific analysis in and/or compare it to libinput. That comes in a future post.

Source From:
Original article title: Peter Hutterer: X server pointer acceleration analysis – part 2.
This full article can be read at: Peter Hutterer: X server pointer acceleration analysis – part 2.


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