Add explanation to TB's "piecewise bottom-up" traversal

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Johannes Hostert 2024-08-27 15:58:38 +02:00
parent 2765444c15
commit 5be5cec23c
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@ -302,7 +302,20 @@ enum ContinueTraversal {
SkipSelfAndChildren,
}
#[derive(Clone, Copy)]
pub enum ChildrenVisitMode {
VisitChildrenOfAccessed,
SkipChildrenOfAccessed,
}
enum RecursionState {
BeforeChildren,
AfterChildren,
}
/// Stack of nodes left to explore in a tree traversal.
/// See the docs of `traverse_this_parents_children_other` for details on the
/// traversal order.
struct TreeVisitorStack<NodeContinue, NodeApp, ErrHandler> {
/// Identifier of the original access.
initial: UniIndex,
@ -316,10 +329,12 @@ struct TreeVisitorStack<NodeContinue, NodeApp, ErrHandler> {
/// Mutable state of the visit: the tags left to handle.
/// Every tag pushed should eventually be handled,
/// and the precise order is relevant for diagnostics.
/// Since the traversal is bottom-up, we need to remember
/// whether we're here initially (false) or after visiting all
/// children (true). The bool indicates this.
stack: Vec<(UniIndex, AccessRelatedness, bool)>,
/// Since the traversal is piecewise bottom-up, we need to
/// remember whether we're here initially, or after visiting all children.
/// The last element indicates this.
/// This is just an artifact of how you hand-roll recursion,
/// it does not have a deeper meaning otherwise.
stack: Vec<(UniIndex, AccessRelatedness, RecursionState)>,
}
impl<NodeContinue, NodeApp, InnErr, OutErr, ErrHandler>
@ -362,64 +377,85 @@ where
&mut self,
this: &mut TreeVisitor<'_>,
accessed_node: UniIndex,
push_children_of_accessed: bool,
visit_children: ChildrenVisitMode,
) -> Result<(), OutErr> {
// We want to visit the accessed node's children first.
// However, we will below walk up our parents and push their children (our cousins)
// onto the stack. To ensure correct iteration order, this method thus finishes
// by reversing the stack. This only works if the stack is empty initially.
assert!(self.stack.is_empty());
// First, handle accessed node. A bunch of things need to
// be handled differently here compared to the further parents
// of `accesssed_node`.
{
self.propagate_at(this, accessed_node, AccessRelatedness::This)?;
if push_children_of_accessed {
if matches!(visit_children, ChildrenVisitMode::VisitChildrenOfAccessed) {
let accessed_node = this.nodes.get(accessed_node).unwrap();
// We `rev()` here because we reverse the entire stack later.
for &child in accessed_node.children.iter().rev() {
self.stack.push((child, AccessRelatedness::AncestorAccess, false));
self.stack.push((
child,
AccessRelatedness::AncestorAccess,
RecursionState::BeforeChildren,
));
}
}
}
// Then, handle the accessed node's parent. Here, we need to
// Then, handle the accessed node's parents. Here, we need to
// make sure we only mark the "cousin" subtrees for later visitation,
// not the subtree that contains the accessed node.
let mut last_node = accessed_node;
while let Some(current) = this.nodes.get(last_node).unwrap().parent {
self.propagate_at(this, current, AccessRelatedness::StrictChildAccess)?;
let node = this.nodes.get(current).unwrap();
// We `rev()` here because we reverse the entire stack later.
for &child in node.children.iter().rev() {
if last_node == child {
continue;
}
self.stack.push((child, AccessRelatedness::DistantAccess, false));
self.stack.push((
child,
AccessRelatedness::DistantAccess,
RecursionState::BeforeChildren,
));
}
last_node = current;
}
// Reverse the stack, as discussed above.
self.stack.reverse();
Ok(())
}
fn finish_foreign_accesses(&mut self, this: &mut TreeVisitor<'_>) -> Result<(), OutErr> {
while let Some((idx, rel_pos, is_final)) = self.stack.last_mut() {
while let Some((idx, rel_pos, step)) = self.stack.last_mut() {
let idx = *idx;
let rel_pos = *rel_pos;
if *is_final {
self.stack.pop();
self.propagate_at(this, idx, rel_pos)?;
} else {
*is_final = true;
let handle_children = self.should_continue_at(this, idx, rel_pos);
match handle_children {
ContinueTraversal::Recurse => {
// add all children, and also leave the node itself
// on the stack so that it can be visited later.
let node = this.nodes.get(idx).unwrap();
for &child in node.children.iter() {
self.stack.push((child, rel_pos, false));
match *step {
// How to do bottom-up traversal, 101: Before you handle a node, you handle all children.
// For this, you must first find the children, which is what this code here does.
RecursionState::BeforeChildren => {
// Next time we come back will be when all the children are handled.
*step = RecursionState::AfterChildren;
// Now push the children, except if we are told to skip this subtree.
let handle_children = self.should_continue_at(this, idx, rel_pos);
match handle_children {
ContinueTraversal::Recurse => {
let node = this.nodes.get(idx).unwrap();
for &child in node.children.iter() {
self.stack.push((child, rel_pos, RecursionState::BeforeChildren));
}
}
ContinueTraversal::SkipSelfAndChildren => {
// skip self
self.stack.pop();
continue;
}
}
ContinueTraversal::SkipSelfAndChildren => {
// skip self
self.stack.pop();
continue;
}
}
// All the children are handled, let's actually visit this node
RecursionState::AfterChildren => {
self.stack.pop();
self.propagate_at(this, idx, rel_pos)?;
}
}
}
@ -437,19 +473,42 @@ where
}
impl<'tree> TreeVisitor<'tree> {
// Applies `f_propagate` to every vertex of the tree bottom-up in the following order: first
// all ancestors of `start` (starting with `start` itself), then children of `start`, then the rest,
// always going bottom-up.
// This ensures that errors are triggered in the following order
// - first invalid accesses with insufficient permissions, closest to the accessed node first,
// - then protector violations, bottom-up, starting with the children of the accessed node, and then
// going upwards and outwards.
//
// `f_propagate` should follow the following format: for a given `Node` it updates its
// `Permission` depending on the position relative to `start` (given by an
// `AccessRelatedness`).
// `f_continue` is called before on foreign nodes, and describes whether to continue
// with the subtree at that node.
/// Applies `f_propagate` to every vertex of the tree in a piecewise bottom-up way: First, visit
/// all ancestors of `start` (starting with `start` itself), then children of `start`, then the rest,
/// going bottom-up in each of these two "pieces" / sections.
/// This ensures that errors are triggered in the following order
/// - first invalid accesses with insufficient permissions, closest to the accessed node first,
/// - then protector violations, bottom-up, starting with the children of the accessed node, and then
/// going upwards and outwards.
///
/// The following graphic visualizes it, with numbers indicating visitation order and `start` being
/// the node that is visited first ("1"):
///
/// ```text
/// 3
/// /|
/// / |
/// 9 2
/// | |\
/// | | \
/// 8 1 7
/// / \
/// 4 6
/// |
/// 5
/// ```
///
/// `f_propagate` should follow the following format: for a given `Node` it updates its
/// `Permission` depending on the position relative to `start` (given by an
/// `AccessRelatedness`).
/// `f_continue` is called earlier on foreign nodes, and describes whether to even start
/// visiting the subtree at that node. If it e.g. returns `SkipSelfAndChildren` on node 6
/// above, then nodes 5 _and_ 6 would not be visited by `f_propagate`. It is not used for
/// notes having a child access (nodes 1, 2, 3).
///
/// Finally, remember that the iteration order is not relevant for UB, it only affects
/// diagnostics. It also affects tree traversal optimizations built on top of this, so
/// those need to be reviewed carefully as well whenever this changes.
fn traverse_this_parents_children_other<InnErr, OutErr>(
mut self,
start: BorTag,
@ -463,14 +522,18 @@ impl<'tree> TreeVisitor<'tree> {
// undergoing a child access. Also pushes the children and the other
// cousin nodes (i.e. all nodes undergoing a foreign access) to the stack
// to be processed later.
stack.go_upwards_from_accessed(&mut self, start_idx, true)?;
stack.go_upwards_from_accessed(
&mut self,
start_idx,
ChildrenVisitMode::VisitChildrenOfAccessed,
)?;
// Now visit all the foreign nodes we remembered earlier.
// For this we go bottom-up, but also allow f_continue to skip entire
// subtrees from being visited if it would be a NOP.
stack.finish_foreign_accesses(&mut self)
}
// Like `traverse_this_parents_children_other`, but skips the children of `start`.
/// Like `traverse_this_parents_children_other`, but skips the children of `start`.
fn traverse_nonchildren<InnErr, OutErr>(
mut self,
start: BorTag,
@ -483,7 +546,11 @@ impl<'tree> TreeVisitor<'tree> {
// Visits the accessed node itself, and all its parents, i.e. all nodes
// undergoing a child access. Also pushes the other cousin nodes to the
// stack, but not the children of the accessed node.
stack.go_upwards_from_accessed(&mut self, start_idx, false)?;
stack.go_upwards_from_accessed(
&mut self,
start_idx,
ChildrenVisitMode::SkipChildrenOfAccessed,
)?;
// Now visit all the foreign nodes we remembered earlier.
// For this we go bottom-up, but also allow f_continue to skip entire
// subtrees from being visited if it would be a NOP.