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
...in a similar vein as done for the product calculation.
In this case, we need to check the dimensions carefully and pick
the best calculation path, but as long as the overall result can
be represented, it should be possible to carry out the calculation
with fractional values, albeit introducing a small error.
As a follow-up, I have now also refactored the re-quantisation
functions, to be usable for general requantisation to another grid,
and I used these to replace the *naive* implementation of the
conversion FSecs -> µ-Grid, which caused a lot of integer-wrap-around
However, while the test now works basically without glitch or wrap,
the window position is still numerically of by 1e-6, which becomes
quite noticeably here due to the large overall span used for the test.
- detailed documentation of known problematic behaviour
when working with rational fractions
- demonstrate the heuristic predicate to detect dangerous numbers
- add extensive coverage and microbenchmarks for the integer-logarithm
implementation, based on an example on Stackoverflow. Surprising result:
The std::ilog(double) function is of comparable speed, at least for
GCC-8 on Debian-Buster.
