...this is an important detail: quite commonly, a custom allocator
is actually implemented as monostate, to avoid bloating every client container
with a backlink pointer; by inheriting the `StdFactory` adapter from the
allocator, the empty-base optimisation can be exploited.
In the standard case thus LinkedElements is the same size as a single
pointer, which is already exploited at several places in the code base.
Notably `AllocationCluster` uses a »virtual overlay« to dress-up the
position pointer as `LinkedElements`, allowing to delegate most of the
administration and memory management to existing and verified code.
With this adjustments, `LinkedElements` pass the tests again
and the rework of `AllocationCluster` is considered complete.
This is the first validation of the new design:
the policy to take ownership can be reimplemented simply
by delegating to the adaptor for a C++ standard allocator
...what I've implemented yesterday is effectively the same functionality
as provided automatically by the C++ object system when using a virtual destructor.
Thus a much cleaner solution is to turn `Destructor` into a interface
and let C++ do all the hard work.
Verified in test: works as intended
This is the first draft, implementing the invocation explicitly
through a trampoline function. While it seems to work,
the formulation can probably be simplified....
- rather accept hard-wired limits than making the implementation excessively generic
- by exploiting the layout, the administrative overhead can be reduced significantly
- the trick with the "virtual managment overlay" allows to hand-off most of the
clean-up work to C++ destructor invocation
- it is important to verify these low-level arrangements explicitly by unit-test
...due to the decision to use a much simpler allocation scheme
to increase probability for actual savings, after switching the API
and removing all trading related aspects, a lot of further code is obsoleted
Notably this raises the difficult question,
whether to ensure **invocation of destructors**.
Not invoking dtors ''breaks one of the most fundamental contracts''
of the C++ language — yet the infrastructure to invoke dtors in such
a heterogeneous cluster of allocations creates a hugely significant
overhead and is bound to poison the caches (objects to be deallocated
typically sit in cold memory pages).
What makes this decision especially daunting is the fact that the
low-level-Model can be expected to be one of the largest systemic
data structures (letting aside the media buffers).
I am leaning towards a compromise: turn down this decision
towards the user of the `AllocationCluster`
At the time of the initial design attempts, I naively created a
classic interface to describe an fixed container allocated ''elsewhere.''
Meanwhile the C++ language has evolved and this whole idea looks
much more as if it could be a ''Concept'' (C++20). Moreover, having
several implementations of such a container interface is deemed inadequate,
since it would necessitate ''at least two indirections'' — while
going the Concept + Template route would allow to work without any
indirection, given our current understanding that the `ProcNode` itself
is ''not an interface'' — rather a building block.
- the starting point is the idea to build a dedicated ''turnout system''
- `StateAdapter`, `BuffTable` ⟶ `FeedManifold` and _Invocation_ will be fused
- actually, the `TurnoutSystem` will be ''pulled'' and orchestrate the invocation
- the structure is assumed to be recursive
The essence of the Node-Invocation, as developed 2009 / 2011 remains intact,
yet it will be organised along a clearer structure
Facing quite some difficulties here, since there are (at least)
two abandoned past efforts towards building a render node network
in the code base; the structure and architecture decisions from these
previous attempts seem largely valid still, yet on a technical level,
the style of construction evolved considerably in the meantime. Moreover,
these old fragments of code, written during the early stages of the
project, were lacking clear goals and anchor points at places;
the situation is quite different now in this respect.
Sticking to well proven practice, the rework will be driven by a test setup,
and will progress over three steps with increasing levels of integration.
The initial effort of building a Scheduler can now be **considered complete**
Reaching this milestone required considerable time and effort, including
an extended series of tests to weld out obvious design and implementation flaws.
While the assessment of the new Scheduler's limitation and traits is ''far from complete,''
some basic achievements could be confirmed through this extended testing effort:
* the Scheduler is able to follow a given schedule effectively,
until close up to the load limit
* the ''stochastic load management'' causes some latency on isolated events,
in the order of magnitude < 5ms
* the Scheduler is susceptible to degradation through Contention
* as mitigation, the Scheduler prefers to reduce capacity in such a situation
* operating the Scheduler effectively thus requires a minimum job size of 2ms
* the ability for sustained operation under full nominal load has been confirmed
by performing **test sequences with over 80 seconds**
* beyond the mentioned latency (<5ms) and a typical turnaround of 100µs per job
(for debug builds), **no further significant overhead** was found.
Design, Implementation and Testing were documented extensively in the [https://lumiera.org/wiki/renderengine.html#Scheduler%20SchedulerProcessing%20SchedulerTest%20SchedulerWorker%20SchedulerMemory%20RenderActivity%20JobPlanningPipeline%20PlayProcess%20Rendering »TiddlyWiki« #Scheduler]
This test completes the stress-testing effort
and summarises the findings
* Scheduler performs within relevant parameter range without significant overhead
* Scheduler can operate with full load in stable state, with 100% correct result
The behaviour seems consistent and the schedule breaks at the expected point.
At first sight, concurrency seems slightly to low; detailed investigation
however shows that this is due to the structure of the load graph,
and in fact the run time comes close to optimal values.
the `BreakingPoint` tool conducts a binary search to find the ''stress factor''
where a given schedule breaks. There are some known deviations related to the
measurement setup, which unfortunately impact the interpretation of the
''stress factor'' scale. Earlier, an attempt was made, to watch those factors
empirically and work a ''form factor'' into the ''effective stress factor''
used to guide this measurement method.
Closer investigation with extended and elastic load patters now revealed
a strong tendency of the Scheduler to scale down the work resources when not
fully loaded. This may be mistaken by the above mentioned adjustments as a sign
of a structural limiation of the possible concurrency.
Thus, as a mitigation, those adjustments are now only performed at the
beginning of the measurement series, and also only when the stress factor
is high (implying that the scheduler is actually overloaded and thus has
no incentive for scaling down).
These observations indicate that the »Breaking Point« search must be taken
with a grain of salt: Especially when the test load does ''not'' contain
a high degree of inter dependencies, it will be ''stretched elastically''
rather than outright broken. And under such circumstances, this measurement
actually gauges the Scheduler's ability to comply to an established
load and computation goal.
...this seems to be the last topic for this investigation of Scheduler behaviour;
the goal is to demonstrate readiness for stable-state operation over an extended period of time
- use parameters known to produce a clean linear model
- assert on properties of this linear model
Add extended documentation into the !TiddlyWiki,
with a textual account of the various findings,
also including some of the images and diagrams,
rendered as SVG
This amends test code, which was commented-out for some time,
and was affected by the changes in load-graph generation:
a983a506b
These changes typically lead to a simplified topology at the end
of the load graph, since open ends are no longer connected to a
single exit node. In the case here, level 27 is no longer generate,
and level 26 is now comprised of three nodes, two of them with load=2
Investigate the behaviour over a wider range of job loads,
job count and worker pool sizes. Seemingly the processing
can not fully utilise the available worker pool capacity.
By inspection of trace-dumps, one impeding mechanism could
be identified: the »stickiness« of the contention mitigation.
Whenever a worker encounters repeated contention, it steps up
and adds more and more wait cycles to remove pressure from the
schedule coordination. As such this is fine and prevents further
degradation of performance by repeated atomic synchronisation.
However, this throttling was kept up needlessly after further
successful work-pulls. Since job times of several milliseconds
can be expected on average in media processing, such a long
retention would spread a performance degradation over a duration
of several frames. Thus, the scheme for step-down was changed
to decrease the throttling by a power series rather than just
documenting the level.
Use the statistic functions imported recently from Yoshimi-test
to compute a linear regression model as immediate test result.
Combining several measurement series, this allows to draw conclusions
about some generic traits and limitations of the scheduler.
Visual tweaks specific to this measurement setup
* include a numeric representation of the regression line
* include descriptive axis labels
* improve the key names to clarify their meaning
* heuristic code for the x-ticks
Package these customisations as a helper function into the measurement tool
After a lot of further tinkering, seemingly arriving at a
somewhat satisfactory solution for the layout and arrangement of
test definitions and especially the table for measurement series.
While the complete setup remains fragile indeed, and complexity is more
hidden than reduced — the pragmatic compromise established yesterday
at least allows to reduce the amount of boilerplate in the test or
measurement setup to make the actual specifics stand out clearly.
----
As an aside, the usage of the `DataFile` type imported from Yoshimi-test
recently was re-shaped more towards a generic handling of tabular data with
CSV storage option; thus renaming the type now into `DataTable`.
Persistent storage is now just one option, while another usage pattern
compounds observation data into table rows, which are then directly
rendered into a CSV string, e.g. for visualisation as Gnuplot graph.
Encountering ''just some design problems related to the test setup,''
which however turn out hard to overcome. Seems that, in my eagerness
to create a succinct and clear presentation of the test, I went into
danger territory, overstretching the abilities of the C++ language.
After working with a set of tools created step by step over an extended span of time,
''for me'' the machinations of this setup seem to be reduced to flipping a toggle
here and there, and I want to focus these active parts while laying out this test.
''This would require'' to create a system of nested scopes, while getting more and more
specific gradually, and moving to the individual case at question; notably any
clarification and definition within those inner focused contexts would have to be
picked up and linked in dynamically.
Yet the C++ language only allows to be ''either'' open and flexible towards
the actual types, or ''alternatively'' to select dynamically within a fixed
set of (virtual) methods, which then must be determined from the beginning.
It is not possible to tweak and adjust base definitions after the fact,
and it is not possible to fill in constant definitions dynamically
with late binding to some specific implementation type provided only
at current scope.
Seems that I am running against that brick wall over and over again,
piling up complexities driven by an desire for succinctness and clarity.
Now attempting to resolve this quite frustrating situation...
- fix the actual type of the TestChainLoad by a typedef in test context
- avoid the definitions (and thus the danger of shadowing)
and use one `testSetup()` method to place all local adjustments.
With the addition of a second tool `bench::ParameterRange`,
the setup of the test-context for measurement became confusing,
since the original scheme was mostly oriented towards the
''breaking point search.''
On close investigation, I discovered several redundancies, and
moreover, it seems questionable to generate an ''adapted-schedule''
for the Parameter-Range measurement method, which aims at overloading
the scheduler and watch the time to resolve such a load peak.
The solution entertained here is to move most of the schedule-ctx setup
into the base implementation, which is typically just inherited by the
actual testcase setup. This allows to leave the decision whether to build
an adapted schedule to the actual tool. So `bench::BreakingPoint` can
always setup the adapted schedule with a specific stress-factor,
while `bench::ParameterRange` by default does nothing in this
respect, and thus the `ScheduleCtx` will provide a default schedule
with the configured level-duration (and the default for this is
lowered to 200µs here).
In a similar vein, calculation of result data points from the raw measurement
is moved over into the actual test setup, thereby gaining flexibility.
Rework the existing tool to capture the measurement series
into the newly integrated CSV-based data storage, allowing
to turn the results into a Gnuplot-visualisation.
...which is added automatically whenever additional data columns are present
Result can only be verified visually
* the upper diagram should show the first fibonacci points
* a (correct) linear regression line should be overlayed in red
* below, a secondary diagram should appear, with aligned axis
* the row "one" in this diagram should be shown as impulses
* the further rows "two" and "three" should be drawn as
green points, using the secondary Y-axis (values 100-250)
* Gnuplot can handle missing data points
The idea is to build the Layout-branching into the generated Gnuplot script,
based on the number of data columns detected. If there is at least one further
data column, then the "mulitplot" layout will be used to feature this
additional data in a secondary diagram below with aligned axis;
if more than one additional data column is present, all further
visualisation will draw points, using the secondary Y-axis
Moreover, Gnuplot can calculate the linear regresssion line itself,
and the drawing will then be done using an `arrow` command,
defining a function regLine(x) based on the linear model.
- `forElse` belongs to the metaprogramming utils
- have a CSVLine, which is a string with custom appending mechanism
- this in turn allows CSVData to accept arbitrary sized tuples,
by rendering them into CSVLine
the metafunction `is_basically<X>` performed only an equality match,
while, given it's current usage, it should also include a subtype-interface-match.
This changes especially the `is_StringLike<S>` metafunction,
both on const references and on classes built on top of string
or string_view.
Whenever a class defines a single-arg templated constructor,
there is danger to shadow the auto-generated copy operations,
leading to insidious failures.
Some months ago, I did the ''obvious'' and added a tiny helper,
allowing to mask out the dangerous case when the ''single argument''
is actually the class itself (meaning, it is a copy invocation and
not meant to go through this templated ctor...
As this already turned out as tremendously helpful, I now extended
this helper to also cover cases where the problematic constructor
accepts variadic arguments, which is quite common with builder-helpers
The intention is to create a library of convenient building blocks;
providing a visualisation should be as simple as invoking a free function
with CSV data, yet with the ability to tweak some lables or display
variations if desired.
This can be achieved by..
* having a series of ready-made standard visualisations
* expose a function call for each, accepting a data-context builder
* provide secondary convenience shortcuts, which add some of the expected bindings
* notably a shortcut is provided to take the data as CSV-string
* augmented by a wrapper/builder to allow defining data points inline
Deliberately keep it unstructured and add dedicated functions
for each new emerging use case; hopefully some commen usage scheme
will emerge over time.
* Data is to be handed in as an iterator over CSV-strings.
* will have to find out about additional parametrisation on a case-by-case base
A minimalist `TextTemplate` engine is available for in-project use.
* supports only the bare minimum of features (no programming language)
* substitution of `${placeholder}` by key-name data access
* conditional section `${if key}...${end if}`
* iteration over a data sequence
* other then most solutions available as library,
this implementation does **not require** a specific data type,
nor does it invent a dynamic object system or JSON backend;
rather, a generic ''Data Source Adapter'' is used, which can
be specialised to access any kind of ''structured data''
* the following `DataSource` specialisations are provided
* `std::map<string,string>`
* Lumiera »External Tree Description« (based on `GenNode`)
* a string-based spec for testing
This extension is required to use GenNode as data source for text-template instantiation.
I am aware that such a function could counter the design intent for GenNode,
because it could be (ab)used to "just get the damn value" and then
parse back the results...
...turns out challenging, since our intention here
is borderline to the intended design of the Lumiera ETD.
It ''should work'' though, when combined with a Variant-visitor...
Document existing data binding logic and investigate in detail
what must be done to enable a similar binding backed by Lumiera's ETD structures.
This analysis highlights some tricky aspects, which can be accommodated by
slight adjustments and generalisations in the `TextTemplate` implementation
* `GenNode` is not structured string data, rather binary data
* thus exposing a std::string_view is not adequate, requiring to
pick up the result type from the actual data binding
* moreover, to allow for arbitrary nested scopes, a back-pointer
to the parent scope must be maintained, which requires stable memory locations.
This can best be solved within the InstanceCore itself, which manages
the actual hierarchy of data source references.
* the existing code happens already to fulfil this requirement, but
for sake of clarity, handling of such a nested scope is now extracted
into a dedicated operation, to highlight the guaranteed memory layout.
...hoped to keep it simple, but this is inevitable, since we
want to provide a CSV list as value within a list of key=value
bindings, and all packaged into a simple string for easy testing.
Thus the parsing RegExp just needs two branches for simple and quoted vals
...implemented by simply parsing the string into key=value pairs,
which are then stored into a shared map. The actual data binding
implementation can thus be inherited from the existing Map-binding
While they were detected just fine, thy were passed-through
unaltered, which subverts the purpose of such an escape,
which is to allow for the tag syntax to be present in the
processed, substituted document (e.g. when generating a
shell script)
thus `\${escaped}` becomes `${escaped}`
...turns out the ''pipeline design'' is not a good fit for the
Action compilation, since the compiler needs to refer to previous Actions;
better to let the compiler ''build'' the `ActionSeq`
...implemented as »custom processing layer« within a
demand-driven parsing pipeline, with the ability to
inject additional Action-tokens to represent the intermittent
constant text between tags; special handling to expose one
constant postfix after the last active tag.
MatchSeq was imported recently from the Yoshimi-testsuite,
as supporting helper for the CSV table component.
Actually this is just a thin wrapper on top of std::regex_iterator,
which in turn has properties and behaviour very similar to Lumiera's
»Forward Iterator« concept (in fact, it was a source of inspiration to
generalise such a pattern).
So this is an obvious round out and cleanup, as it requires just some
minor additions and adjustments to allow processing a sequence of matches
through a for-loop or some elaborate pipelining setup.
The way I've written this helper template, as a byproduct
it is also possible to maintain the back-refrence to the container
through a smart-ptr. In this case, the iterator-handle also manages
the ownership automatically.
...mostly we want the usual convenient handling pattern for iterators,
but with the proviso actually to perform an access by subscript,
and the ability to re-set to another current index
* establish the feature set to provide
* choose scheme for runtime representation
* break down analysis to individual parsing and execution steps
* conclude which actions to conduct and the necessary data
* derive the abstract binding API required
Conducted an extended investigation regarding text templating
and the library solutions available and still maintained today.
The conclusion is
* there are some mature and widely used solutions available for C++
* all of these are considered a mismatch for the task at hand,
which is to generate Gnuplot scripts for test data visualisation
Points of contention
* all solutions offer a massive feature set, oriented towards web content generation
* all solutions provide their own structured data type or custom property-tree framework
**Decision** 🠲 better to write a minimalistic templating engine from scratch rather
In the Lumiera code base, we use C-String constants as unique error-IDs.
Basically this allows to create new unique error IDs anywhere in the code.
However, definition of such IDs in arbitrary namespaces tends to create
slight confusion and ambiguities, while maintaining the proper use statements
requires some manual work.
Thus I introduce a new **standard scheme**
* Error-IDs for widespread use shall be defined _exclusively_ into `namespace lumiera::error`
* The shorthand-Macro `LERR_()` can now be used to simplify inclusion and referral
* (for local or single-usage errors, a local or even hidden definition is OK)
reduce footprint of lib/util.hpp
(Note: it is not possible to forward-declare std::string here)
define the shorthand "cStr()" in lib/symbol.hpp
reorder relevant includes to ensure std::hash is "hijacked" first
showDecimal -> decimal10 (maximal precision to survive round-trip through decimal representation=
showComplete -> max_decimal10 (enough decimal places to capture each possible distinct floating-point value)
Use these new functions to rewrite the format4csv() helper
...this uncovered one inconsistency: when directly adding values
into one of the embedded data vectors, the inconsistent size
was allowed to persist even when adding / removing lines.
This is in contradiction to the behavior for the CSV dump,
which uses index positions from the front of all vectors uniformely.
Thus changed the behaviour of adding a new row, so that it now
caps all vectors to a common size
also added function to clear the table
verify also that clean-up happens in case of exceptions thrown;
as an aside, add Macro to check for ''any'' exception and match
on something in the message (as opposed to just a Lumiera Exception)
...using the same method for sake of uniformity
Also move the permissions helpers to the file.hpp support functions
and setup a separate unit test for these
Inspired by https://stackoverflow.com/a/58454949
Verified behaviour of fs::create_directory
--> it returns true only if it ''indeed could create'' a new directory
--> it returns false if the directory exists already
--> it throws when some other obstacle shows up
As an aside: the Header include/limits.h could be cleaned up,
and it is used solely from C++ code, thus could be typed, namespaced etc.
Since this is a much more complicated topic,
for now I decided to establish two instances through global variables:
* a sequence seeded with a fixed starting value
* another sequence seeded from a true entropy source
What we actually need however is some kind of execution framework
to define points of random-seeding and to capture seed values for
reproducible tests.
Relying on random numbers for verification and measurements is known to be problematic.
At some point we are bound to control the seed values -- and in the actual
application usage we want to record sequence seeding in the event log.
Some initial thoughts regarding this intricate topic.
* a low-ceremony drop-in replacement for rand() is required
* we want the ability to pick-up and control each and every usage eventually
* however, some usages explicitly require true randomness
* the ability to use separate streams of random-number generation is desirable
Yesterday I decided to include some facilities I have written in 2022
for the Yoshimi-Testsuite. The intention is to use these as-is, and just
to adapt them stylistically to the Lumiera code base.
However — at least some basic documentation in the form of
very basic unit-tests can be considered »acceptance criteria«
Initially the model was that of a single graph starting
with one seed node and joining all chains into a single exit node.
This however is not well suited to simulate realistic calculations,
and thus the ability for injecting additional seeds and to randomly
sever some chains was added -- which overthrows the assumption of
a single exit node at the end, where the final hash can be retrieved.
The topology generation used to pick up all open ends, in order to
join them explicitly into a reserved last node; in the light of the
above changes, this seems like an superfluous complexity, and adds
a lot of redundant checks to the code, since the main body of the
algorithm, in its current form, already does all the necessary
bound checks. It suffices thus to just terminate the processing
when the complete node space is visited and wired.
Unfortunately this requires to fix basically all node hashes
and a lot of the statistics values of the test; yet overall
the generated graphs are much more logical; so this change
is deemed worth the effort.
Allow easily to generate a Chain-Load with all nodes unconnected,
yet each node on a separate level.
Fix a deficiency in the graph generation, which caused spurious
connections to be added at the last node, since the prune rule
was not checked
...the previous setup produced a single linear chain
instead of a set of unconnected nodes.
With this, the behaviour is more like expected,
but concurrency is still too low
- better use a Test-Chain-Load without any dependencies
- schedule all at once
- employ instrumentation
- use the inner »overall time« as dependent result variable
The timing results now show an almost perfect linear dependency.
Also the inner overall time seems to omit the setup and tear-down time.
But other observed values (notably the avgConcurrency) do not line up
- fill the range randomly with probe points
- use the node count as independent parameter
- measurement method *works as intended*
- results indeed show a linear relationship
Results are ''interesting'' however, since the (par,time) points
seem to be arranged into two lines, implying that about half
of the runs were somehow ''degraded'' and performed way slower.
With the latest improvements, the »breaking point search« works as expected
and yields meaningful data; however — it seems to be well suited rather
for specific setups, which involve an extended graph with massive dependencies,
because only such a setup produces a clearly defined ''breaking point.''
Thus I'm considering to complement this research by another measurement setup
to establish a linear regression model of the Scheduler expense.
To allow integration of this different setup into the existing stress-test-rig,
some rearrangements of the builder notation are necessary; especially we need
to pass the type name of the actual tool, and it seems indicated to
reorder the source code to provide the config base class `StressRig`
at the top, followed by a long (and very technical) implementation
namespace.
It turns out to be not correct using all the divergence in concurrency
as a form factor, since it is quite common that not all cores can be active
at every level, given the structural constraints as dictated by the load graph.
On the other hand, if the empirical work (non wait-time) concurrency
systematically differs from the simple model used for establishing the schedule,
then this should indeed be considered a form factor and deduced from
the effective stress factor, since it is not a reserve available for speed-up
The solution entertained here is to derive an effective compounded sum
of weights from the calculation used to build the schedule. This compounded
weight sum is typically lower than the plain sum of all node weights, which
is precisely due to the theoretical amount of expense reduction assumed
in the schedule generation. So this gives us a handle at the theoretically
expected expense and through the plain weight sum, we may draw conclusion
about the effective concurrency expected in this schedule.
Taking only this part as base for the empirical deviations yields search results
very close to stressFactor ~1 -- implying that the test setup now
observes what was intended to observe...
In binary search, in order to establish the invariant initially,
a loop is necessary, since a single step might not be sufficient.
Moreover, the ongoing adjustments jeopardise detection of the
statistical breaking point condition, by causing a negative delta
due to gradually approaching the point of convergence -- leading
to an ongoing search in a region beyond the actual breaking point.
Various misconceptions identified in the feedback path of the test algorithm.
- statistics are cumulative, which must be incorporated by norming on time base
- average concurrency includes idle times, which is besides the point within this
test setup, since additional wait-phases are injected when reducing stress
Relying on the new instrumentation facility, the actually effective
concurrency and cumulative run time of the test jobs can be established.
These can now be cast into a form-factor to represent actual excess expenses
in relation to the theoretical model.
By allowing to adjust the adapted schedule by this form factor,
it can be made to reflect more closely the actual empiric load,
hopefully leading to a more realistic effect of the stress-factor
and thus results better suited to conclude on generic behaviour.
...turns out rather challenging to come up with any test case,
that is both meaningful, simple to setup and understand, yet still
produces somewhat stable values. `IncidenceCount` seems most valuable
for investigation and direct inspection of results
Various experiments to watch Scheduler behaviour under extended load.
Notably the example committed here makes the Scheduler run for 1.2 sec
and process 800 jobs with 10ms each, thereby putting the system into
100% load on all CPUs
- supplement the pre-dimensioning for data capture; without that,
sporadic memory corruption indeed happens (as expected, since
concurrent re-allocation of the vector with an entry for each
thread is not threadsafe, and this test shows much contention)
- add a top-level logging for better diagnostics of errors
emanating from the test run
Basically users are free to place the measurement calls to their liking.
This implies that bracketed measurement intervals can be defined overlapping
even within a single thread, thereby accounting the overlapping time interval
several times. However, for the time spent per thread, only actual thread
activity should be counted, disregarding overlaps. Thus introduce a
new aggregate, ''active time'', which is the sum of all thread times.
As an aside, do not need explicit randomness for the simple two-thread
test case — timings are random anyway...
+ bugfix for out-of-bounds access
...since we've established already an integration over the event timeline,
it is just one simple further step to determine the concurrency level
on each individual segment of the timeline. Based on this attribution
- the averaged concurrenty within the observation range can be computed as weighted mean
- moreover we can account for the precise cumulated time spent at each concurrency level
...using a simplistic allocation of next-slot based on initialisation
of a thread_local storage. This implies that this helper can not be
reset or reused, and that there can not be multiple or long-lived instances.
Keep-it-simple for now...
