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Compute statistics on an ASTERIOS static scheduling plan (RSF)

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rsfstat - ASTERIOS Application Scheduling Plans Stats

Installation

rsfstat is tested for Python 3.7 or above, and is currently only compatible with Applications compiled with ASTERIOS Developer K19.2.1 or K19.2.2 (psyko versions from 8.11.0 up to 8.13.3).

rsfstat is not deployed on PyPi, so you need to install it from the repository:

pip install --user git+https://github.com/krono-safe/rsfstat.git

Of if you use pipx

pipx install git+https://github.com/krono-safe/rsfstat.git

A note to Windows users: you should use a terminal emulator that supports unicode characters, such as Windows Terminal or ConEmu. You'd be missing emojis in your console output otherwise! 😉

Features Overview

This is a free an open source tool developed by Krono-Safe, to be used along with our commercial tool suite ASTERIOS Developer and its associated Real-Time Kernels.

rsfstat is a CLI tool written in Python that computes some interesting stats on the static scheduling plans generated for an ASTERIOS Application. In order to do that, rsfstat analyzes internal binary databases generated by psyko during the compilation process. Be sure to use the --gendir option of psyko when compiling your Application, so that these databases are not removed once the compilation completes.

Run rsfstat on the binary files core_<N>_rt_rsf.ks created under app_gendir/psylink/db/rsfs/in your generation directory (where <N> is a CPU identifier). A set of examples is available in this repository for you to test the tool:

# An Application that maps Tasks on 3 different cores has 3 RSFs:
rsfstat doc/examples/gendir/app_gendir/psylink/db/rsfs/core_{0,1,2}_rt_rsf.ks

Here's the expected output:

⚠ WARNING: The values computed by the tool are correct only if the quota timers have the same frequency across all cores.

CPU Load

rsfstat prints out three types of CPU load:

  • a global CPU load computed on all cores (average CPU load);
  • a CPU load computed separately for each core;
  • a CPU load computed for each Task mapped on a given core.

Note that these values are computed only on the periodic part (a.k.a. "loop") of the static scheduling plans (RSFs), ignoring the transient state occurring at initialization.

Parallelism Ratio

Properties, Definition

rsfstat also computes a "parallelism ratio", verifying these key properties:

  1. it equals 0 iff. at any given time in steady state, at most one Task is scheduled among all the RSFs;
  2. it equals 1 iff. at any given time in steady state, either all the RSFs schedule a Task, or no RSF schedules a Task (i.e. all cores are idling);
  3. given a certain timeslot, it increases linearly with the number of cores executing a Task during that slot.

Note that these properties are not restrictive enough to infer a unique definition. rsfstat computes one parallelism ratio verifying these properties, expressed mathematically as follows:

where:

  • is the length of the loop of the RSFs (all RSFs of the same Application have the same loop length by construction);
  • is the number of active cores (and thus the number of RSFs)
  • is the global CPU load computed on all the loops of all the RSFs of the Application;
  • by convention corresponds to the date when the last RSF starts its steady state, i.e. starts executing its loop;

The intuition behind this formula is actually quite simple: for each time increment, we want to count how many cores are "active", i.e. are scheduled to execute a task. The more cores are active, the more "points" we score on this time increment: when only one core or zero core is active, we get no point; and when all cores are active, we get the maximum. We then sum the total number of points scored on the duration of the RSF loop, and normalize this quantity with the length of the loop, and the global CPU load, in order to satisfy the three properties listed above.

Examples

A few examples give a quicker understanding of that ratio. Consider for instance the scheduling plans for two cores (for the sake of brevity, only the "loop" part of the RSFs is represented), as represented below:

Tasks are always scheduled to be executed simultaneously (colored blocks), and both cores are also idling at the same time. Thus, the global CPU load is of 60% (as each core has a 60% load), but the parallelism ratio is of 100%.

The next case below is the exact opposite:

No Tasks are executed simultaneously ever: the CPU load of each core is of 50%, so is the global CPU load, and the parallelism ratio is 0.

At last, the case below is an in-between: sometimes Tasks are executed simultaneously (for 2 time units per cycle, represented by red double-arrows), but most of the time they are not (there are 6 time units per cycle where only one Task is executed while the other core is idling):

As a final note: by convention, the parallelism ratio for a single core Application (i.e. N=1) is set to 0.

Discussion: other possible definition

As stated before, the three key properties do not imply a unique definition for a parallelism ratio, and the one computed by rsfstat is an opinionated choice.

For instance, going back to the last example above, one could have expected from a "sane" parallelism ratio a value of 20% instead of 40%: 2 time units of parallel computing, divided by 10 time units in a complete cycle. However this method would correspond more or less to removing the normalization by , thus failing to verify the key property 2. (reaching 100% when at any given time either all the RSFs schedule a Task, or no RSF schedules a Task).

A valid alternate definition however could lead to a parallelism ratio of 25% on that same example: for each cycle, 2 time units of parallel computing, divided by 8 time units corresponding to time slots when at least one core is busy. This would correspond effectively to replacing in the definition above with a "pooled load", computed on a virtual scheduling plan obtained by merging all the RSFs. Formally, this pooled load is given by:

However, we believe it makes more sense to normalize our ratio with the global CPU load rather than with the pooled load . With the current definition, the computed value indicates how "far" the current scheduling plan is from a "fully parallel" plan, for a given, fixed global CPU load.

To illustrate that point, let's go back to our last example: if the developer were to modify their Application to have a "fully parallel" plan (assuming of course no precedence constraint exists between the Tasks), they could for instance shuffle the execution time slots like so:

(notice that the purple Task has been moved from core 1 to core 0 to achieve a "fully parallel" plan)

Now that the Application has been completely optimized to be fully parallel, see that the cores are both active on 5 time slots (over a period of 10 time slots). Whereas before the optimization, both cores were active only on 2 time slots (over the same period), thus explaining the previous ratio of 2 / 5 = 40%.

Of course, this figure is a fairly theoretical view: the developer does not "move around" frames from the RSF like this, they can only manipulate Elementary Actions; running Tasks in parallel on several core is likely to cause hardware interferences, leading to increased CPU budget times and reshuffling the RSF; etc. Still, the ratio computed by the current implementation gives a meaningful hint to the PsyC developer as to how much their Application leverages a multi-core architecture, and how much more they could theoretically get, assuming the same global CPU load.

For developers

The issue tracker of this project is closed, but contributions are welcome: do not hesitate to submit a pull-request!

Install extra dependencies to develop:

pip install "rsfstat[dev]"

Run tests with pytest:

# from the project root directory
pytest

This project uses bump2version: run this e.g. to bump the minor version number, create and commit a tag:

bump2version minor

See setup.cfg for the configuration of bump2version.

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Compute statistics on an ASTERIOS static scheduling plan (RSF)

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