Documentation of ast.walk misleadingly characterizes its behavior as recursive when it's really iterative

Documentation

Although the documentation claims that ast.walk generates nodes "in no specified order" and even describes its behavior as "Recursively yield all descendant nodes...", a look at the source code reveals that it really performs a breadth-first traversal by iteratively yielding child nodes in a queue:

def walk(node):
    """
    Recursively yield all descendant nodes in the tree starting at *node*
    (including *node* itself), in no specified order.  This is useful if you
    only want to modify nodes in place and don't care about the context.
    """
    from collections import deque
    todo = deque([node])
    while todo:
        node = todo.popleft()
        todo.extend(iter_child_nodes(node))
        yield node

I thought that maybe this function used to be recursive but found that it has not been modified since its first appearance in CPython 2.6.3.

I think we should at the minimum remove the wording "Recursively" from the description, and optionally:

1. Clarify the actual ordering by changing "in no specified order" to "in breadth-first order".
2. Add a keyword argument such as depth_first that defaults to False such that when it is true, switches to a depth-first traversal that behaves like:

def dfs_walk(node):
    yield node
    for child in ast.iter_child_nodes(node):
        yield from dfs_walk(child)

Issue にリンクされている ast.walk のドキュメントから始め、その記述を Lib/ast.py の実装と比較します。記述を最小限修正するか、幅優先順序もドキュメント化するかを判断してください。ドキュメントでは、要求されていない API の変更を追加せず、既存の動作を正確に説明する必要があります。