def METHOD_NAME(cursor):
    """Returns a list of positions where an articulation can be added.
    Every position is given as a QTextCursor instance.
    If the cursor has a selection, all positions in the selection are returned.
    """
    c = lydocument.cursor(cursor)
    if not cursor.hasSelection():
        # just select until the end of the current line
        c.select_end_of_block()
        rests = True
        partial = ly.document.OUTSIDE
    else:
        rests = False
        partial = ly.document.INSIDE
    positions = []
    for item in ly.rhythm.music_items(c, partial):
        if not rests and item.tokens and isinstance(item.tokens[0], ly.lex.lilypond.Rest):
            continue
        csr = QTextCursor(cursor.document())
        csr.setPosition(item.end)
        positions.append(csr)
        if not cursor.hasSelection():
            break # leave if first found, that's enough
    return positions