The value used previously was too conservative, and prevented ZommWindow
from zooming out to the complete Time domain. This was due to missing the
Time::SCALE denominator, which increaded the limit by factor 1e6
In fact the code is able to handle even this extremely reduced limit,
but doing so seems over the top, since now detox() kicks in on several
calculations, leading to rather coarse grained errors.
Thus I decided to use a compromise: lower the limit only by factor 1000;
with typical screen pixel widths, we can reach the full time domain,
while most scaling and zoom calculations can be performed precisely,
without detox() kicking in. Obviously this change requires adjusting
a lot of the test case expectations, since we can now zoom out maximally.
This is a deep refactoring to allow to represent the distance
between all valid time points as a time::Offset or time::Duration.
By design this is possible, since Time::MAX was defined as 1/30 of
the maximum value technically representable as int64_t. However,
introducing a different limiter for offsets and durations turns
out difficult, due to the inconsistencies in the exiting hierarchy
of temporal entities. Which in turn seems to stem from the unfortunate
decision to make time entities immutable, see #1261
Since the limiter is hard wired into the `time::TimeValue` constructor,
we are forced to create a "backdoor" of sorts, to pass up values
with different limiting from child classes. This would not be so
much of a problem if calculations weren't forced to go through `TimeVar`,
which does not distinguish between time points and time durations.
This solution rearranges all checks to be performed now by time::Offset,
while time::Duration will only take the absolute value at construction,
based on the fact that there is no valid construction path to yield
a duration which does not go through an offset first.
Later, when we're ready to sort out the implementation base of time values
(see #1258), this design issue should be revisited
- either we'll allow derived classes explicitly to invoke the limiter functions
- or we may be able to have an automatic conversion path from clearly
marked base implementation types, in which case we wouldn't use the
buildRaw_() and _raw() "backdoor" functions any more...
...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.
...using a requantisation trick to cancel out some factors in the
product of two rational numbers, allowing to calculate the product
without actual multiplication of (dangerously large) numbers.
with these additional safeguards, the anchorWindowAtPosition()
succeeds without Integer-wrap, but the result is not fully correct
(some further calculation error hidden somewhere??)
- 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.
Especially rational numbers with large denominator can be insidious,
since they might cause numeric overflow on seemingly harmless operations,
like adding a small number.
A solution might be to *requantise* the number into a different,
way smaller denominator. Obviously this is a lossy operation;
yet a small and controlled numeric error is always better than
an uncontrolled numeric wrap-around.
Extensive tests with corner cases soon highlighted this problem
inherent to integer calculations with fractional numbers: it is
possible to derail the calculation by numeric overflow with values
not excessively large, but using large numbers as denominator.
This problem is typically triggered by addition and subtraction,
where you'd naively not expect any problems.
Thus changed the approach in the normalisation function, relying
on an explicitly coded test rather, and performing the adjustment
only after conversion back to simple integral micro-tick scale.
Writing this specification unveiled a limitation of our internal
time base implementation, which is a 64bit microsecond grid.
As it turns out, any grid based time representation will always
be not precise enough to handle some relevant time specifications,
which are defined by a divisor. Most notably this affects the precise
display of frame duration in the GUI, and even more relevant,
the sample accurate editing of sound in the timeline.
Thus I decided to perform the internal computation in ZoomWindow
as rational numbers, based on boost::rational
Note: implementation stubbed only, test fails
