DM: Add equation part to DM aux vector key

Merge branch 'knepley/feature-plex-ceed-integration' into 'main'

Plex: Initial CEED integration

See merge request petsc/petsc!3918

Plex: Update examples to use new creation interface

Merge branch 'knepley/feature-dm-aux-data' into 'main'

DM: Replace object composition with an API for auxiliary data

See merge request petsc/petsc!3798

DM: Replace object composition with an API for auxiliary data - Now allow data to be tagged with a label+value - Do not separately require a DM and Vec, get the DM from the Vec

Merge branch 'jed/promote-examples-tests-tutorials' [petsc/petsc!2610]

* jed/promote-examples-tests-tutorials:
Promote examples/{tests,tutorials}/ to {tests,tutorials}/

Promote examples/{tests,tutorials}/ to {tests,tutorials}/

This shortens paths and improves consistency between test target names
and paths to the source and output files. Most of the work was
compl

Promote examples/{tests,tutorials}/ to {tests,tutorials}/

This shortens paths and improves consistency between test target names
and paths to the source and output files. Most of the work was
completed by this script, followed by mild cleanup of nonconforming
cases.

for makefile in `git ls-files 'src/*makefile'`; do
if rg -q 'DIRS.*\bexamples\b' $makefile; then
base=$(dirname $makefile)
dirs=$(cd $base/examples && ls -d tests tutorials 2>/dev/null | xargs echo)
perl -pi -e "s#^(DIRS.*)\bexamples\b#\1${dirs}#" $makefile
git rm $base/examples/makefile
for t in $dirs; do
git mv $base/examples/$t $base/
perl -pi -e "s#^(LOCDIR[[:space:]]*=).*#\1 $base/$t/#" $base/$t
done
fi
done

git grep -l -E -z 'examples/(tutorials|tests)' | xargs -0 perl -pi -e 's#examples/(tutorials|tests)#\1#g'
git checkout @ \
src/docs/website/documentation/changes/ \
src/benchmarks/results/

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