Fix failures in extended testsuite runs

Cherry-picked from upstream commits:
* https://github.com/coreutils/coreutils/commit/c431893b96bf4dc3b3918a605387f1b0e3843242
* https://github.com/coreutils/coreutils/commit/c0e5f8c59b951ae13ca9cb9945cd77163489e1d9

diff --git a/tests/rmdir/ignore.sh b/tests/rmdir/ignore.sh
index 65e92d012..b26ac533a 100755
--- a/tests/rmdir/ignore.sh
+++ b/tests/rmdir/ignore.sh
@@ -33,17 +33,24 @@ test -d "$cwd/a/b/c" && fail=1
 # Between 6.11 and 8.31, the following rmdir would mistakenly succeed.
 mkdir -p x/y || framework_failure_
 chmod a-w x || framework_failure_
-returns_ 1 rmdir --ignore-fail-on-non-empty x/y || fail=1
+
+if ! uid_is_privileged_; then  # root does not get EPERM.
+  returns_ 1 rmdir --ignore-fail-on-non-empty x/y || fail=1
+fi
+
 test -d x/y || fail=1
 # Between 6.11 and 8.31, the following rmdir would mistakenly fail,
 # and also give a non descript error
 touch x/y/z || framework_failure_
 rmdir --ignore-fail-on-non-empty x/y || fail=1
 test -d x/y || fail=1
-# assume empty dir if unreadable entries (so failure to remove diagnosed)
-rm x/y/z || framework_failure_
-chmod a-r x/y || framework_failure_
-returns_ 1 rmdir --ignore-fail-on-non-empty x/y || fail=1
-test -d x/y || fail=1
+
+if ! uid_is_privileged_; then  # root does not get EPERM.
+  # assume empty dir if unreadable entries (so failure to remove diagnosed)
+  rm x/y/z || framework_failure_
+  chmod a-r x/y || framework_failure_
+  returns_ 1 rmdir --ignore-fail-on-non-empty x/y || fail=1
+  test -d x/y || fail=1
+fi
 
 Exit $fail
diff --git a/tests/cp/fiemap-2.sh b/tests/cp/fiemap-2.sh
index e75d232e3..da7503074 100755
--- a/tests/cp/fiemap-2.sh
+++ b/tests/cp/fiemap-2.sh
@@ -32,7 +32,7 @@ dd bs=1k seek=128 of=k < /dev/null || framework_failure_
 for append in no yes; do
   test $append = yes && printf y >> k
   for i in always never; do
-    cp --sparse=$i k k2 || fail=1
+    cp --reflink=never --sparse=$i k k2 || fail=1
     cmp k k2 || fail=1
   done
 done
@@ -48,7 +48,7 @@ dd bs=1k seek=1 of=k count=255 < /dev/zero || framework_failure_
 # Currently, on my F14/ext4 desktop, this K file starts off with size 256KiB,
 # (note that the K in the preceding test starts off with size 4KiB).
 # cp from coreutils-8.9 with --sparse=always reduces the size to 32KiB.
-cp --sparse=always k k2 || fail=1
+cp --reflink=never --sparse=always k k2 || fail=1
 if test $(stat -c %b k2) -ge $(stat -c %b k); then
   # If not sparse, then double check by creating with dd
   # as we're not guaranteed that seek will create a hole.