When turning the paragraph direction to RTL mode the cursor is no longer placed
at the beginning of the logically "next" character, but instead sits on top of
the "previous" character. There seems to be an additional offset of one pixel so
that the cursor cuts quite deep into the "previous" character (the one that was
just typed). This makes it annoying to reread the last character that was just
typed as it is partly obscured by the cursor.

I think the best solution is to offset the cursor position according to the
common  bidi direction of the two surrounding characters if it is the same. If
the two visually surrounding characters have different bidi direction, the
cursor should be centered between them.