ostd/mm/page_table/node/child.rs
1// SPDX-License-Identifier: MPL-2.0
2//! This module specifies the type of the children of a page table node.
3use vstd::prelude::*;
4
5use crate::arch::mm::PagingConsts;
6use crate::mm::frame::Frame;
7use crate::mm::frame::meta::REF_COUNT_UNUSED;
8use crate::mm::frame::meta::mapping::{frame_to_meta, meta_to_frame};
9use crate::mm::page_table::*;
10use crate::specs::arch::*;
11use crate::specs::mm::frame::{
12 mapping::{frame_to_index, group_page_meta},
13 meta_region_owners::MetaRegionOwners,
14};
15
16use vstd_extra::cast_ptr::*;
17use vstd_extra::drop_tracking::*;
18use vstd_extra::ownership::*;
19
20use crate::specs::*;
21
22use crate::{
23 mm::{Paddr, PagingConstsTrait, PagingLevel, Vaddr, page_prop::PageProperty},
24 // sync::RcuDrop,
25};
26
27use super::*;
28
29verus! {
30
31/// A page table entry that owns the child of a page table node if present.
32pub enum Child<C: PageTableConfig> {
33 /// A child page table node.
34 pub PageTable(PageTableNode<C>),
35 /// Physical address of a mapped physical frame.
36 ///
37 /// It is associated with the virtual page property and the level of the
38 /// mapping node, which decides the size of the frame.
39 pub Frame(Paddr, PagingLevel, PageProperty),
40 pub None,
41}
42
43#[verus_verify]
44impl<C: PageTableConfig> Child<C> {
45 /// Returns whether the child is not present.
46 #[vstd::contrib::auto_spec]
47 pub(in crate::mm) fn is_none(&self) -> (b: bool) {
48 matches!(self, Child::None)
49 }
50
51 /// Converts the child to a raw PTE value.
52 /// # Verified Properties
53 /// ## Preconditions
54 /// - **Safety Invariants**: all [safety invariants](Child::invariants) must hold on the child.
55 /// - **Safety**: the entry's must be marked as a child, which implies that it has a `raw_count` of 0.
56 /// ## Postconditions
57 /// - **Safety Invariants**: the `PTE`'s [safety invariants](EntryOwner::pte_invariants) are preserved.
58 /// - **Safety**: the entry's raw count is incremented by 1.
59 /// - **Safety**: No frame other than the target entry's (if applicable) is impacted by the call.
60 /// - **Correctness**: the `PTE` is equivalent to the original `Child`.
61 /// ## Safety
62 /// The `PTE` safety invariants ensure that the raw pointer to the entry is tracked correctly
63 /// so that we can guarantee the safety condition on `from_pte`.
64 #[verus_spec(res =>
65 with Tracked(owner): Tracked<&mut EntryOwner<C>>,
66 Tracked(regions): Tracked<&mut MetaRegionOwners>,
67 requires
68 self.invariants(*old(owner), *old(regions)),
69 self matches Child::PageTable(node) ==> old(regions).frame_obligations.count(
70 frame_to_index(meta_to_frame(node.ptr.addr())),
71 ) > 0,
72 ensures
73 final(owner).pte_invariants(res, *final(regions)),
74 *final(regions) == old(owner).into_pte_regions_spec(*old(regions)),
75 *final(owner) == old(owner).into_pte_owner_spec(),
76 old(owner).is_node() ==> res == C::E::new_pt_spec(
77 meta_to_frame(old(owner).node().meta_addr_self()),
78 ),
79 )]
80 pub fn into_pte(self) -> C::E {
81 proof {
82 C::E::lemma_page_table_entry_properties();
83 }
84
85 match self {
86 Child::PageTable(node) => {
87 let ghost node_owner = owner.node();
88 let ghost node_index = frame_to_index(meta_to_frame(node.ptr.addr()));
89
90 let tracked node_slot_perm = regions.slots.tracked_borrow(node_index);
91 #[verus_spec(with Tracked(node_slot_perm))]
92 let paddr = node.start_paddr();
93
94 let ghost fo0 = regions.frame_obligations;
95
96 let _ = ManuallyDrop::new(node, Tracked(regions));
97
98 proof {
99 // `MD::new` removed one entry at `node_index`, matching
100 // `into_pte_regions_spec`'s `.remove(index)`.
101 let spec_regions = owner.into_pte_regions_spec(*old(regions));
102 }
103
104 C::E::new_pt(paddr)
105 },
106 Child::Frame(paddr, level, prop) => {
107 assume(C::E::new_page_req(paddr, level, prop));
108 C::E::new_page(paddr, level, prop)
109 },
110 Child::None => { C::E::new_absent() },
111 }
112 }
113
114 /// Converts a `PTE` to a `Child`.
115 ///
116 /// # Verified Properties
117 /// ## Preconditions
118 /// - **Safety Invariants**: the `PTE`'s [safety invariants](EntryOwner::pte_invariants) must hold.
119 /// - **Safety**: `level` must match the original level of the child.
120 /// ## Postconditions
121 /// - **Safety Invariants**: the [safety invariants](Child::invariants) are preserved.
122 /// - **Safety**: the `EntryOwner` is aware that it is tracking an entry in `Child` form.
123 /// - **Safety**: No frame other than the target entry's (if applicable) is impacted by the call.
124 /// - **Correctness**: the `Child` is equivalent to the original `PTE`.
125 /// ## Safety
126 /// The `PTE` safety invariants require that the `PTE` was previously obtained using [`Self::into_pte`]
127 /// (or another function that calls `ManuallyDrop::new`, which is sufficient for safety).
128 #[verus_spec(res =>
129 with Tracked(regions): Tracked<&mut MetaRegionOwners>,
130 Tracked(entry_own): Tracked<&mut EntryOwner<C>>,
131 requires
132 old(entry_own).pte_invariants(pte, *old(regions)),
133 level == old(entry_own).parent_level,
134 ensures
135 res.invariants(*final(entry_own), *final(regions)),
136 res == Child::<C>::from_pte_spec(pte, level, *final(regions)),
137 *final(entry_own) == old(entry_own).from_pte_owner_spec(),
138 *final(regions) == final(entry_own).from_pte_regions_spec(*old(regions)),
139 )]
140 pub unsafe fn from_pte(pte: C::E, level: PagingLevel) -> Self {
141 if !pte.is_present() {
142 return Child::None;
143 }
144 let paddr = pte.paddr();
145
146 if !pte.is_last(level) {
147 proof {
148 broadcast use group_page_meta;
149
150 regions.inv_implies_correct_addr(paddr);
151 }
152
153 proof_decl! {
154 let tracked from_raw_obl: vstd_extra::drop_tracking::DropObligation<usize>;
155 }
156
157 let node = unsafe {
158 proof_with!(
159 Tracked(regions) => Tracked(from_raw_obl)
160 );
161 PageTableNode::from_raw(paddr)
162 };
163
164 proof {
165 // `from_raw_obl` is the freshly minted obligation token
166 // for this slot. It is silently dropped here; the
167 // corresponding `frame_obligations` entry persists and
168 // is consumed by `on_drop`'s teardown path (which mints
169 // its own token via the paired axiom when it calls
170 // `frame.drop`). Net effect over `from_pte` is +1 on
171 // the ledger, balancing the prior `-1` from
172 // `into_pte`'s `MD::new` consume.
173 }
174
175 return Child::PageTable(node);
176 }
177 Child::Frame(paddr, level, pte.prop())
178 }
179}
180
181/// A reference to the child of a page table node.
182/// # Verification Design
183/// If the child is itself a page table node, it is represented by a [`PageTableNodeRef`],
184/// because a reference to it must be treated as a potentially shared reference of the appropriate lifetime.
185/// By contrast, a mapped frame can be referenced by just carrying its values, and an absent one is just a simple tag.
186pub enum ChildRef<'a, C: PageTableConfig> {
187 /// A child page table node.
188 PageTable(PageTableNodeRef<'a, C>),
189 /// Physical address of a mapped physical frame.
190 ///
191 /// It is associated with the virtual page property and the level of the
192 /// mapping node, which decides the size of the frame.
193 Frame(Paddr, PagingLevel, PageProperty),
194 None,
195}
196
197#[verus_verify]
198impl<C: PageTableConfig> ChildRef<'_, C> {
199 /// Converts a PTE to a reference to a child.
200 ///
201 /// # Verified Properties
202 /// ## Preconditions
203 /// - **Safety Invariants**: the `PTE`'s [safety invariants](EntryOwner::pte_invariants) must hold.
204 /// - **Safety**: `level` must match the original level of the child.
205 /// ## Postconditions
206 /// - **Safety Invariants**: the [safety invariants](ChildRef::invariants) are preserved.
207 /// - **Correctness**: the `ChildRef` is equivalent to the original `PTE`.
208 /// - **Safety**: No frame other than the target entry's (if applicable) is impacted by the call.
209 /// ## Safety
210 /// - The `PTE` safety invariants require that the `PTE` was previously obtained using [`Self::from_pte`]
211 /// - The soundness of using the resulting `ChildRef` as a reference follows from `FrameRef` safety.
212 #[verus_spec(res =>
213 with Tracked(regions): Tracked<&mut MetaRegionOwners>,
214 Tracked(entry_owner): Tracked<&EntryOwner<C>>,
215 requires
216 entry_owner.pte_invariants(*pte, *old(regions)),
217 level == entry_owner.parent_level,
218 ensures
219 res.invariants(*entry_owner, *final(regions)),
220 final(regions).slot_owners == old(regions).slot_owners,
221 forall|k: usize|
222 old(regions).slots.contains_key(k) ==> #[trigger] final(regions).slots.contains_key(
223 k,
224 ),
225 forall|k: usize|
226 old(regions).slots.contains_key(k) ==> old(regions).slots[k]
227 == #[trigger] final(regions).slots[k],
228 )]
229 pub unsafe fn from_pte(pte: &C::E, level: PagingLevel) -> Self {
230 if !pte.is_present() {
231 return ChildRef::None;
232 }
233 let paddr = pte.paddr();
234
235 if !pte.is_last(level) {
236 proof {
237 broadcast use group_page_meta;
238
239 regions.inv_implies_correct_addr(paddr);
240 }
241
242 let node = unsafe {
243 #[verus_spec(with Tracked(regions))]
244 PageTableNodeRef::borrow_paddr(paddr)
245 };
246
247 proof {
248 // borrow_paddr postcondition gives raw_count == 1 and field-by-field preservation.
249 // Since raw_count was already 1 (entry is in PTE),
250 // slot_owners[idx] == old(slot_owners[idx]) follows field by field.
251 // slots: borrow_paddr inserts at borrow_idx. Prove existing keys preserved.
252 // The node's slot was NOT in old.slots: by active_entry_not_in_free_pool,
253 // a node entry's index can't equal any free-pool index.
254 let borrow_idx = frame_to_index(paddr);
255 let ghost entry_snap = *entry_owner;
256 assert(!old(regions).slots.contains_key(borrow_idx)) by {
257 if old(regions).slots.contains_key(borrow_idx) {
258 EntryOwner::<C>::active_entry_not_in_free_pool(
259 entry_snap,
260 *old(regions),
261 borrow_idx,
262 );
263 // gives borrow_idx != borrow_idx — contradiction
264 }
265 };
266 // Since borrow_idx was not in old.slots, insert preserves all old keys.
267 assert forall|k: usize| old(regions).slots.contains_key(k) implies old(
268 regions,
269 ).slots[k] == #[trigger] regions.slots[k] by {
270 // regions.slots == old.slots.insert(borrow_idx, _), and k != borrow_idx
271 };
272 }
273
274 return ChildRef::PageTable(node);
275 }
276 ChildRef::Frame(paddr, level, pte.prop())
277 }
278}
279
280} // verus!