It’s perfectly possible to run AppImages from within Crostini.

One of the assets which I have, is an Asus Chromebook, that has modest specifications (including mere 32GB of storage), but on which I did activate the Debian / Stretch flavour of Linux. I should also mention that this Chromebook has the Intel Celeron N3350 CPU, which runs the x86_64 instruction set. This latter detail is of some importance, as full compatibility with Linux will not be realized without it. Admittedly, the subset of Debian / Stretch packages that have been cross-compiled to ARM CPU binaries is limited, and what I’m about to describe in this posting will not work at all, on ARM CPUs (that were also the more-common CPUs for use with Android).

The virtual machine that runs Linux inside ChromeOS is also called “Crostini”.

One of the limitations which I’ve heard about Crostini is, that one cannot perform most loop-mounts in root mode. For that reason, there might be some misgivings about being able to run AppImage’s, because those require a user-space mount of a ‘SquashFS’ file system, and also require the existence of a kernel module to do so.

Therefore, I am most happy to report, that on my Linux setup, and with up-to-date Chrome 85…, I am able to run AppImage’s after all, that were meant for Linux, and for the 64-bit, Intel / AMD CPU family.

As an example, I was well-able to download the Kdenlive video editor, in the form of the Linux AppImage, and to get it to run under ChromeOS. I find that often, the video editing features available from Google Play / Android apps are way too limiting.

Thus, I am finding new ways to enjoy my Chromebook and its Linux subsystem. I would warn people though, that, before running AppImage’s, they install a somewhat complete set of Linux applications and libraries.


(Update 9/10/2020, 20h55: )

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A Basic Weakness, in my Polynomial Roots Finder (Resolved).

One of the subjects which I’ve written about often is that, in the past, I wrote a program which approximates the roots of polynomials, and more recently, that I wrote a version of the same program, that has a (Qt5-based) GUI – a Graphical User Interface. AFAICT, both versions of the program seem to work fine. The GUI version additionally displays a plot of the polynomial.

Note: Polynomials of a degree greater than 4 generally don’t have exact, algebraic solutions – with some exceptions – so that their roots are usually best found by numerical approximation.

Because I’ve published all the recent versions of this program on my blog, I also retest it thoroughly, with polynomials that I know will give it some difficulty each time. And what I have found was that presently, the simplified plotting window has a behaviour that is not false, but that may be difficult for the user to understand. This is less than ideal, because the purpose of that plotting window is, to make the polynomial which the user entered easier to understand, and not harder.

The problem manifests, if the user enters a polynomial that has exactly one root, or that has the same root with some multiplicity. In that situation, my plotting window will assume that the interval on the X-axis to be displayed, deviates from that root by ±0.25, which is also the smallest interval its internal logic allows it to display. While what it displays is not wrong, the very narrow range can make it hard to read:




Here, I’ve used an established Computer Algebra System, to construct a polynomial that has a root of (0.5), with a multiplicity of 8. It’s a polynomial of the 8th degree. Its behaviour near (x=0.5) is the same as what the behaviour would be, of x8, near (x=0.0). In other words, the Y-values never get big, because, to raise some small fraction (x <= 0.25) to the power of 8, will always produce some even-smaller fraction.

But what the plot does non-ideally, is, to centre at (x=0.5) in this case, and only to cover the interval from (x=-0.25) to (x=0.75), as described above. The user must then read from the bottom of the plotting window, that the X-Tick-Interval is only (0.05), and must recognize that the plot is indeed centred at (x=0.5), 4 ticks after the labelled tick at (x=0.3). In this example, it’s easier to read the text-form of the solution.

The reason why my program does this, is the fact that its auto-determined interval spans the range of roots, adds some small fraction to that positively and negatively, but that in this case the spread between the roots is zero, because there is only one. And, I refuse to make the minimum span ±1.0, because some polynomials may in fact have roots closer together than that, which might also need to be plotted…

This program can be found at the following repository on my site:

The source code can be found in the files:

  • Dirk_Roots_GUI_1.tar.gz

And an AppImage can be found in the file:

  • Dirk_Roots_GUI_1-x86_64.AppImage


(Updated 9/04/2020, 15h40… )

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The ubiquity of memory leaks in GUI applications.

When I was studying C++ as an Independent Student, we were taught that, as a good programming practice, we should always delete any objects which we had created with the ‘new’ allocator, including, to do so in the destructor of any objects, which created those members in their constructor. Just to define a little bit, what this means, I need to state some facts:

  1. In C++, we can declare objects to exist as such, without using ‘new’, and without initializing object pointers to point to them. When we do so, they are allocated on the stack, their constructors are called in turn, and, when our function call returns, the compiler makes sure that the stack is cleared, at which point the compiler also makes sure that the destructor of such objects is called automatically. In much programming, including GUIs that we build with Qt5, this is considered to be the less-favoured way to do it by default…
  2. As an alternative, we can declare a pointer to a class object to exist. This pointer could reside on the stack, or, it could be a member of the class, and thus, be a property of each object. Regardless of where this pointer has been put, we call ‘new’ to create a new object, and the address returned by ‘new’ is stored in the pointer, by our own explicit code, either in the constructor if the pointer is a class member, or elsewhere if the pointer has been created in the middle of a function-call.
  3. The pointer, a member of the class, might just receive an address from someplace else, thus pointing to an object that was allocated by a different object, in which case it’s the responsibility of the object that originated the pointer’s address, also to destruct the object it points to… This can lead to issues because, if the object that created the object being deleted does so, the other object will still hold an address, which does not get updated (at least, using plain-old C++ pointers, not, smart-pointers). And then, such a copied address might erroneously be used again, creating nasty error messages and crashes.

The problem with scenario (2) above is, that even though the pointer will get removed eventually, during program execution, the object that it points to, will remain by default, unless we call ‘delete’ on the pointer, in which case the destructor will be called on the object pointed to, and then, the space the object occupied is deallocated. There are finer points to how all this should be done, which are taught in C++ programming, and which I will not get into here. But a point which I want to make in this posting is that, when using certain GUI libraries, including Qt5, the programmer is creating many C++ objects, including widgets, layout managers, labels, QString objects, and eventually also, brief message-boxes…

The programming style encourages sloppy programming, in which not all objects that have been created, are also destructed and deallocated eventually. Admittedly, I have also fallen victim to this, in recent exercises I assigned myself, outside any formal learning environment. And of course, always conscious of the possibility that I could be making mistakes, I have found several.

The lessons I was given formally taught us, to be so thorough in deallocating, that we should even do so when our program quits. This is good form. But, when creating my Qt5 projects, I have not been doing this. Instead, what I’ve been doing, is to distinguish between two types of memory leaks:

  1. Objects that are not deleted when the program quits, meaning that my main application window possesses a destructor which does nothing,
  2. Objects that will need to be deleted, because they were members (properties) of other objects, which might be specialized windows of my application, or which might otherwise be created and deleted many times, during one execution of the application.


(Updated 9/03/2020, 14h20… )

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My blog is back online.

This previous posting explained in advance that my electrical utility was planning a power-cut, which eventually caused my site and blog to go offline.

Actually, I shut down my computers the previous evening.

I’m happy to announce that the power cut took place within the predicted time interval, and that for the time being, I can consider my service as being back to normal. For that reason, the site and blog are also back up. :-)



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