openmp: Optimize triangular loop logical iterator to actual iterators computation using search for quadratic equation root(s)
This patch implements the optimized logical to actual iterators
computation for triangular loops.
I have a rough implementation using integers, but this one uses floating
point. There is a small problem that -fopenmp programs aren't linked with
-lm, so it does it only if the hw has sqrt optab (and uses ifn rather than
__builtin_sqrt because it obviously doesn't need errno handling etc.).
Do you think it is ok this way, or should I use the integral computation
using inlined isqrt (we have inequation of the form
start >= x * t10 + t11 * (((x - 1) * x) / 2)
where t10 and t11 are signed long long values and start unsigned long long,
and the division by 2 actually is a problem for accuracy in some cases, so
if we do it in integral, we need to do actually
long long t12 = 2 * t10 - t11;
unsigned long long t13 = t12 * t12 + start * 8 * t11;
unsigned long long isqrt_ = isqrtull (t13);
long long x = (((long long) isqrt_ - t12) / t11) >> 1;
with careful overflow checking on all the computations before isqrtull
(and on overflows use the fallback implementation).
2020-07-09 Jakub Jelinek <jakub@redhat.com>
* omp-general.h (struct omp_for_data): Add min_inner_iterations
and factor members.
* omp-general.c (omp_extract_for_data): Initialize them and remember
them in OMP_CLAUSE_COLLAPSE_COUNT if needed and restore from there.
* omp-expand.c (expand_omp_for_init_counts): Fix up computation of
counts[fd->last_nonrect] if fd->loop.n2 is INTEGER_CST.
(expand_omp_for_init_vars): For
fd->first_nonrect + 1 == fd->last_nonrect loops with for now
INTEGER_CST fd->loop.n2 find quadratic equation roots instead of
using fallback method when possible.
* testsuite/libgomp.c/loop-19.c: New test.
* testsuite/libgomp.c/loop-20.c: New test.