libstdc++: More efficient date from days
This patch reimplements std::chrono::year_month_day::_S_from_days() which
retrieves a date from the number of elapsed days since 1970/01/01. The new
implementation is based on Proposition 6.3 of Neri and Schneider, "Euclidean
Affine Functions and Applications to Calendar Algorithms" available at
https://arxiv.org/abs/2102.06959.
The aforementioned paper benchmarks the implementation against several
counterparts, including libc++'s (which is identical to the current
implementation). The results, shown in Figure 4, indicate the new algorithm is
2.2 times faster than the current one.
The patch adds a test which loops through all integers in [-
12687428,
11248737],
and for each of them, gets the corresponding date and compares the result
against its expected value. The latter is calculated using a much simpler and
easy to understand algorithm but which is also much slower.
The interval used in the test covers the full range of values for which a
roundtrip must work [time.cal.ymd.members]. Despite its completeness the test
runs in a matter of seconds.
libstdc++-v3/ChangeLog:
* include/std/chrono (year_month_day::_S_from_days): New
implementation.
* testsuite/std/time/year_month_day/3.cc: New test.