mirror of
https://github.com/FreeRTOS/FreeRTOS-Kernel.git
synced 2025-12-14 15:45:09 -05:00
Added single-core proof for vListInsertEnd by Aalok Thakkar and Nathan Chong.
This commit is contained in:
Tobias Reinhard
parent
122ecdeac0
commit
0633baba2f
1 changed files with 401 additions and 20 deletions
421
list.c
421
list.c
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@ -86,32 +86,413 @@ void vListInitialiseItem( ListItem_t * const pxItem )
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void vListInsertEnd( List_t * const pxList,
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ListItem_t * const pxNewListItem )
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{
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ListItem_t * const pxIndex = pxList->pxIndex;
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#ifndef VERIFAST_SINGLE_CORE
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/* Reason for rewrite:
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* Predicates `xLIST_ITEM`, `DLS` and `xLIST` have been extended to expose
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* node owners. Proofs using these predicates must be adapted as well.
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*/
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// TODO: Adapt contract and proof to new version of predicates.
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/* Only effective when configASSERT() is also defined, these tests may catch
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* the list data structures being overwritten in memory. They will not catch
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* data errors caused by incorrect configuration or use of FreeRTOS. */
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listTEST_LIST_INTEGRITY( pxList );
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listTEST_LIST_ITEM_INTEGRITY( pxNewListItem );
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/*@requires xLIST(pxList, ?len, ?idx, ?end, ?cells, ?vals) &*&
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xLIST_ITEM(pxNewListItem, ?val, _, _, _);@*/
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/*@ensures xLIST(pxList, len+1, idx, end, ?new_cells, ?new_vals) &*&
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idx == end
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? (new_cells == append(cells, singleton(pxNewListItem)) &*&
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new_vals == append(vals, singleton(val)))
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: (new_cells == append(take(index_of(idx, cells), cells), append(singleton(pxNewListItem), drop(index_of(idx, cells), cells))) &*&
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new_vals == append(take(index_of(idx, cells), vals), append(singleton(val), drop(index_of(idx, cells), vals))));@*/
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{
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/*@xLIST_star_item(pxList, pxNewListItem);@*/
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/*@assert mem(pxNewListItem, cells) == false;@*/
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/*@open xLIST(pxList, len, idx, end, cells, vals);@*/
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#ifdef VERIFAST /*< const pointer declaration */
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ListItem_t * pxIndex = pxList->pxIndex;
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#else
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ListItem_t * const pxIndex = pxList->pxIndex;
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/* Insert a new list item into pxList, but rather than sort the list,
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* makes the new list item the last item to be removed by a call to
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* listGET_OWNER_OF_NEXT_ENTRY(). */
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pxNewListItem->pxNext = pxIndex;
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pxNewListItem->pxPrevious = pxIndex->pxPrevious;
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/* Only effective when configASSERT() is also defined, these tests may catch
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* the list data structures being overwritten in memory. They will not catch
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* data errors caused by incorrect configuration or use of FreeRTOS. */
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listTEST_LIST_INTEGRITY( pxList );
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listTEST_LIST_ITEM_INTEGRITY( pxNewListItem );
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#endif
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/* Only used during decision coverage testing. */
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mtCOVERAGE_TEST_DELAY();
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/*@open xLIST_ITEM(pxNewListItem, _, _, _, _);@*/
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/*@assert DLS(end, ?endprev, end, _, cells, vals, pxList);@*/
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/*@dls_first_mem(end, endprev, end, endprev, cells);@*/
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/*@dls_last_mem(end, endprev, end, endprev, cells);@*/
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/*@
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if (end == idx)
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{
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open DLS(end, endprev, end, endprev, cells, vals, pxList);
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open xLIST_ITEM(end, portMAX_DELAY, ?endnext, endprev, pxList);
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if (end == endprev)
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{
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// Case A (singleton): idx==end==endprev
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}
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else
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{
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assert DLS(endnext, end, end, endprev, tail(cells), tail(vals), pxList);
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if (endnext == endprev)
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{
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// Case B (two): idx==end and endnext==endprev
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open DLS(endnext, end, end, endnext, _, _, _);
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open xLIST_ITEM(endnext, _, _, _, _);
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}
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else
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{
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// Case C: idx==end and DLS:endnext...endprev
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split(endnext, end, end, endprev, tail(cells), tail(vals), endprev, index_of(endprev, tail(cells)));
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open DLS(endprev, _, _, _, _, _, _);
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open xLIST_ITEM(endprev, _, _, _, _);
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}
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}
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}
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else
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{
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int i = index_of(idx, cells);
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split(end, endprev, end, endprev, cells, vals, idx, i);
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assert DLS(end, endprev, idx, ?idxprev, take(i, cells), take(i, vals), pxList);
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assert DLS(idx, idxprev, end, endprev, drop(i, cells), drop(i, vals), pxList);
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open DLS(idx, idxprev, end, endprev, _, _, _);
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open xLIST_ITEM(idx, _, _, _, _);
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if (end == idxprev)
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{
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// Case D: end==idxprev and DLS:idx...endprev
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take_take(1, i, vals);
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take_head(vals);
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open DLS(end, endprev, idx, idxprev, take(i, cells), take(i, vals), pxList);
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open xLIST_ITEM(end, portMAX_DELAY, _, _, _);
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assert length(take(i, cells)) == 1;
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}
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else
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{
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// Case E: DLS:end...idxprev and DLS:idx...endprev
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dls_last_mem(end, endprev, idx, idxprev, take(i, cells));
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split(end, endprev, idx, idxprev, take(i, cells), take(i, vals), idxprev, index_of(idxprev, take(i, cells)));
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open DLS(idxprev, _, _, idxprev, _, _, _);
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length_take(i, cells);
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drop_take_singleton(i, vals);
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open xLIST_ITEM(idxprev, nth(i-1, vals), _, _, _);
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}
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}
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@*/
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pxIndex->pxPrevious->pxNext = pxNewListItem;
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pxIndex->pxPrevious = pxNewListItem;
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/* Insert a new list item into pxList, but rather than sort the list,
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* makes the new list item the last item to be removed by a call to
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* listGET_OWNER_OF_NEXT_ENTRY(). */
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pxNewListItem->pxNext = pxIndex;
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pxNewListItem->pxPrevious = pxIndex->pxPrevious;
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/* Remember which list the item is in. */
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pxNewListItem->pxContainer = pxList;
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/* Only used during decision coverage testing. */
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mtCOVERAGE_TEST_DELAY();
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( pxList->uxNumberOfItems )++;
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}
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pxIndex->pxPrevious->pxNext = pxNewListItem;
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pxIndex->pxPrevious = pxNewListItem;
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/* Remember which list the item is in. */
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pxNewListItem->pxContainer = pxList;
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( pxList->uxNumberOfItems )++;
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/*@
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if (end == idx)
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{
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close xLIST_ITEM(pxNewListItem, val, end, endprev, pxList);
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close DLS(pxNewListItem, endprev, end, pxNewListItem, singleton(pxNewListItem), singleton(val), pxList);
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close xLIST_ITEM(end, portMAX_DELAY, ?endnext, pxNewListItem, pxList);
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if (end == endprev)
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{
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// Case A (singleton): idx==end==endprev
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close DLS(end, pxNewListItem, endnext, end, cells, vals, pxList);
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join(end, pxNewListItem, endnext, end, cells, vals,
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pxNewListItem, endprev, end, pxNewListItem, singleton(pxNewListItem), singleton(val));
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close xLIST(pxList, len+1, idx, end, append(cells, singleton(pxNewListItem)), append(vals, singleton(val)));
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}
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else
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{
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close xLIST_ITEM(endprev, ?endprevval, pxNewListItem, ?endprevprev, _);
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if (endnext == endprev)
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{
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// Case B (two): idx==end and endnext==endprev
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close DLS(endprev, end, pxNewListItem, endprev, singleton(endprev), singleton(endprevval), pxList);
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close DLS(end, pxNewListItem, pxNewListItem, endprev, cells, vals, pxList);
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join(end, pxNewListItem, pxNewListItem, endprev, cells, vals,
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pxNewListItem, endprev, end, pxNewListItem, singleton(pxNewListItem), singleton(val));
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close xLIST(pxList, len+1, idx, end, append(cells, singleton(pxNewListItem)), append(vals, singleton(val)));
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}
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else
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{
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// Case C: idx==end and DLS:endnext...endprev
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close DLS(endprev, endprevprev, pxNewListItem, endprev, singleton(endprev), singleton(endprevval), pxList);
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assert DLS(endnext, end, endprev, endprevprev, ?cells_endnext_to_endprevprev, ?vals_endnext_to_endprevprev, pxList);
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join(endnext, end, endprev, endprevprev, cells_endnext_to_endprevprev, vals_endnext_to_endprevprev,
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endprev, endprevprev, pxNewListItem, endprev, singleton(endprev), singleton(endprevval));
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close DLS(end, pxNewListItem, pxNewListItem, endprev, cells, vals, pxList);
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join(end, pxNewListItem, pxNewListItem, endprev, cells, vals,
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pxNewListItem, endprev, end, pxNewListItem, singleton(pxNewListItem), singleton(val));
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close xLIST(pxList, len+1, idx, end, append(cells, singleton(pxNewListItem)), append(vals, singleton(val)));
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}
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}
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}
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else
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{
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// Case D: end==idxprev and DLS:idx...endprev
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// Case E: DLS:end...idxprev and DLS:idx...endprev
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int i = index_of(idx, cells);
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close xLIST_ITEM(pxNewListItem, val, idx, ?idxprev, pxList);
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close xLIST_ITEM(idx, ?idxval, ?idxnext, pxNewListItem, pxList);
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nth_drop2(vals, i);
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assert idxval == nth(i, vals);
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close xLIST_ITEM(idxprev, ?idxprevval, pxNewListItem, ?idxprevprev, pxList);
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if (end == idxprev)
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{
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close DLS(end, endprev, pxNewListItem, end, singleton(end), singleton(portMAX_DELAY), pxList);
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}
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else
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{
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length_take(i, cells);
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take_take(i-1, i, vals);
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take_singleton(i-1, vals);
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take_singleton(i, vals);
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assert DLS(end, endprev, idxprev, idxprevprev, ?cells_end_to_idxprevprev, take(i-1, vals), pxList);
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close DLS(idxprev, idxprevprev, pxNewListItem, idxprev, singleton(idxprev), singleton(idxprevval), pxList);
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join(end, endprev, idxprev, idxprevprev, cells_end_to_idxprevprev, take(i-1, vals),
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idxprev, idxprevprev, pxNewListItem, idxprev, singleton(idxprev), singleton(idxprevval));
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}
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if (idx == endprev)
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{
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close DLS(idx, pxNewListItem, end, idx, singleton(idx), singleton(idxval), pxList);
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}
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else
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{
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assert DLS(end, endprev, pxNewListItem, idxprev, ?cells_end_to_idxprev, ?vals_end_to_idxprev, pxList);
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close DLS(idx, pxNewListItem, end, endprev, drop(i, cells), drop(i, vals), pxList);
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}
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assert DLS(end, endprev, pxNewListItem, idxprev, take(i, cells), take(i, vals), pxList);
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assert DLS(idx, pxNewListItem, end, endprev, drop(i, cells), drop(i, vals), pxList);
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assert xLIST_ITEM(pxNewListItem, val, idx, idxprev, pxList);
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dls_star_item(idx, endprev, pxNewListItem);
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close DLS(pxNewListItem, idxprev, end, endprev, cons(pxNewListItem, drop(i, cells)), cons(val, drop(i, vals)), pxList);
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join(end, endprev, pxNewListItem, idxprev, take(i, cells), take(i, vals),
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pxNewListItem, idxprev, end, endprev, cons(pxNewListItem, drop(i, cells)), cons(val, drop(i, vals)));
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assert DLS(end, endprev, end, endprev, ?cells_new, ?vals_new, pxList);
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assert cells_new == append(take(i, cells), append(singleton(pxNewListItem), drop(i, cells)));
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assert vals_new == append(take(i, vals) , append(singleton(val), drop(i, vals)));
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head_append(take(i, cells), append(singleton(pxNewListItem), drop(i, cells)));
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take_take(1, i, cells);
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head_append(take(i, vals), append(singleton(val), drop(i, vals)));
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take_take(1, i, vals);
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close xLIST(pxList, len+1, idx, end, cells_new, vals_new);
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}
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@*/
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}
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#else
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/* The contract and proof below have been wirtten by Aalok Thakkar and Nathan
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* Chong in 2020 for the single-core setup.
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*/
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/*@requires xLIST(pxList, ?len, ?idx, ?end, ?cells, ?vals) &*&
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xLIST_ITEM(pxNewListItem, ?val, _, _, _);@*/
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/*@ensures xLIST(pxList, len+1, idx, end, ?new_cells, ?new_vals) &*&
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idx == end
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? (new_cells == append(cells, singleton(pxNewListItem)) &*&
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new_vals == append(vals, singleton(val)))
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: (new_cells == append(take(index_of(idx, cells), cells), append(singleton(pxNewListItem), drop(index_of(idx, cells), cells))) &*&
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new_vals == append(take(index_of(idx, cells), vals), append(singleton(val), drop(index_of(idx, cells), vals))));@*/
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{
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/*@xLIST_star_item(pxList, pxNewListItem);@*/
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/*@assert mem(pxNewListItem, cells) == false;@*/
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/*@open xLIST(pxList, len, idx, end, cells, vals);@*/
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#ifdef VERIFAST /*< const pointer declaration */
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ListItem_t * pxIndex = pxList->pxIndex;
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#else
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ListItem_t * const pxIndex = pxList->pxIndex;
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/* Only effective when configASSERT() is also defined, these tests may catch
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* the list data structures being overwritten in memory. They will not catch
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* data errors caused by incorrect configuration or use of FreeRTOS. */
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listTEST_LIST_INTEGRITY( pxList );
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listTEST_LIST_ITEM_INTEGRITY( pxNewListItem );
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#endif
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/*@open xLIST_ITEM(pxNewListItem, _, _, _, _);@*/
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/*@assert DLS(end, ?endprev, end, _, cells, vals, pxList);@*/
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/*@dls_first_mem(end, endprev, end, endprev, cells);@*/
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/*@dls_last_mem(end, endprev, end, endprev, cells);@*/
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/*@
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if (end == idx)
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{
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open DLS(end, endprev, end, endprev, cells, vals, pxList);
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open xLIST_ITEM(end, portMAX_DELAY, ?endnext, endprev, pxList);
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if (end == endprev)
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{
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// Case A (singleton): idx==end==endprev
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}
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else
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{
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assert DLS(endnext, end, end, endprev, tail(cells), tail(vals), pxList);
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if (endnext == endprev)
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{
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// Case B (two): idx==end and endnext==endprev
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open DLS(endnext, end, end, endnext, _, _, _);
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open xLIST_ITEM(endnext, _, _, _, _);
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}
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else
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{
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// Case C: idx==end and DLS:endnext...endprev
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split(endnext, end, end, endprev, tail(cells), tail(vals), endprev, index_of(endprev, tail(cells)));
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open DLS(endprev, _, _, _, _, _, _);
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open xLIST_ITEM(endprev, _, _, _, _);
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}
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}
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}
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else
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{
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int i = index_of(idx, cells);
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split(end, endprev, end, endprev, cells, vals, idx, i);
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assert DLS(end, endprev, idx, ?idxprev, take(i, cells), take(i, vals), pxList);
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assert DLS(idx, idxprev, end, endprev, drop(i, cells), drop(i, vals), pxList);
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open DLS(idx, idxprev, end, endprev, _, _, _);
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open xLIST_ITEM(idx, _, _, _, _);
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if (end == idxprev)
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{
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// Case D: end==idxprev and DLS:idx...endprev
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take_take(1, i, vals);
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take_head(vals);
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open DLS(end, endprev, idx, idxprev, take(i, cells), take(i, vals), pxList);
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open xLIST_ITEM(end, portMAX_DELAY, _, _, _);
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assert length(take(i, cells)) == 1;
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}
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else
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{
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// Case E: DLS:end...idxprev and DLS:idx...endprev
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dls_last_mem(end, endprev, idx, idxprev, take(i, cells));
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split(end, endprev, idx, idxprev, take(i, cells), take(i, vals), idxprev, index_of(idxprev, take(i, cells)));
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open DLS(idxprev, _, _, idxprev, _, _, _);
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length_take(i, cells);
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drop_take_singleton(i, vals);
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open xLIST_ITEM(idxprev, nth(i-1, vals), _, _, _);
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}
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}
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@*/
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/* Insert a new list item into pxList, but rather than sort the list,
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* makes the new list item the last item to be removed by a call to
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* listGET_OWNER_OF_NEXT_ENTRY(). */
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pxNewListItem->pxNext = pxIndex;
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pxNewListItem->pxPrevious = pxIndex->pxPrevious;
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/* Only used during decision coverage testing. */
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mtCOVERAGE_TEST_DELAY();
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pxIndex->pxPrevious->pxNext = pxNewListItem;
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pxIndex->pxPrevious = pxNewListItem;
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/* Remember which list the item is in. */
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pxNewListItem->pxContainer = pxList;
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( pxList->uxNumberOfItems )++;
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/*@
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if (end == idx)
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{
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close xLIST_ITEM(pxNewListItem, val, end, endprev, pxList);
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close DLS(pxNewListItem, endprev, end, pxNewListItem, singleton(pxNewListItem), singleton(val), pxList);
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close xLIST_ITEM(end, portMAX_DELAY, ?endnext, pxNewListItem, pxList);
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if (end == endprev)
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{
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// Case A (singleton): idx==end==endprev
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close DLS(end, pxNewListItem, endnext, end, cells, vals, pxList);
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join(end, pxNewListItem, endnext, end, cells, vals,
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pxNewListItem, endprev, end, pxNewListItem, singleton(pxNewListItem), singleton(val));
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close xLIST(pxList, len+1, idx, end, append(cells, singleton(pxNewListItem)), append(vals, singleton(val)));
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}
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else
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{
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close xLIST_ITEM(endprev, ?endprevval, pxNewListItem, ?endprevprev, _);
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if (endnext == endprev)
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{
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// Case B (two): idx==end and endnext==endprev
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close DLS(endprev, end, pxNewListItem, endprev, singleton(endprev), singleton(endprevval), pxList);
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close DLS(end, pxNewListItem, pxNewListItem, endprev, cells, vals, pxList);
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||||
join(end, pxNewListItem, pxNewListItem, endprev, cells, vals,
|
||||
pxNewListItem, endprev, end, pxNewListItem, singleton(pxNewListItem), singleton(val));
|
||||
close xLIST(pxList, len+1, idx, end, append(cells, singleton(pxNewListItem)), append(vals, singleton(val)));
|
||||
}
|
||||
else
|
||||
{
|
||||
// Case C: idx==end and DLS:endnext...endprev
|
||||
close DLS(endprev, endprevprev, pxNewListItem, endprev, singleton(endprev), singleton(endprevval), pxList);
|
||||
assert DLS(endnext, end, endprev, endprevprev, ?cells_endnext_to_endprevprev, ?vals_endnext_to_endprevprev, pxList);
|
||||
join(endnext, end, endprev, endprevprev, cells_endnext_to_endprevprev, vals_endnext_to_endprevprev,
|
||||
endprev, endprevprev, pxNewListItem, endprev, singleton(endprev), singleton(endprevval));
|
||||
close DLS(end, pxNewListItem, pxNewListItem, endprev, cells, vals, pxList);
|
||||
join(end, pxNewListItem, pxNewListItem, endprev, cells, vals,
|
||||
pxNewListItem, endprev, end, pxNewListItem, singleton(pxNewListItem), singleton(val));
|
||||
close xLIST(pxList, len+1, idx, end, append(cells, singleton(pxNewListItem)), append(vals, singleton(val)));
|
||||
}
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
// Case D: end==idxprev and DLS:idx...endprev
|
||||
// Case E: DLS:end...idxprev and DLS:idx...endprev
|
||||
int i = index_of(idx, cells);
|
||||
close xLIST_ITEM(pxNewListItem, val, idx, ?idxprev, pxList);
|
||||
close xLIST_ITEM(idx, ?idxval, ?idxnext, pxNewListItem, pxList);
|
||||
nth_drop2(vals, i);
|
||||
assert idxval == nth(i, vals);
|
||||
close xLIST_ITEM(idxprev, ?idxprevval, pxNewListItem, ?idxprevprev, pxList);
|
||||
|
||||
if (end == idxprev)
|
||||
{
|
||||
close DLS(end, endprev, pxNewListItem, end, singleton(end), singleton(portMAX_DELAY), pxList);
|
||||
}
|
||||
else
|
||||
{
|
||||
length_take(i, cells);
|
||||
take_take(i-1, i, vals);
|
||||
take_singleton(i-1, vals);
|
||||
take_singleton(i, vals);
|
||||
assert DLS(end, endprev, idxprev, idxprevprev, ?cells_end_to_idxprevprev, take(i-1, vals), pxList);
|
||||
close DLS(idxprev, idxprevprev, pxNewListItem, idxprev, singleton(idxprev), singleton(idxprevval), pxList);
|
||||
join(end, endprev, idxprev, idxprevprev, cells_end_to_idxprevprev, take(i-1, vals),
|
||||
idxprev, idxprevprev, pxNewListItem, idxprev, singleton(idxprev), singleton(idxprevval));
|
||||
}
|
||||
|
||||
if (idx == endprev)
|
||||
{
|
||||
close DLS(idx, pxNewListItem, end, idx, singleton(idx), singleton(idxval), pxList);
|
||||
}
|
||||
else
|
||||
{
|
||||
assert DLS(end, endprev, pxNewListItem, idxprev, ?cells_end_to_idxprev, ?vals_end_to_idxprev, pxList);
|
||||
close DLS(idx, pxNewListItem, end, endprev, drop(i, cells), drop(i, vals), pxList);
|
||||
}
|
||||
|
||||
assert DLS(end, endprev, pxNewListItem, idxprev, take(i, cells), take(i, vals), pxList);
|
||||
assert DLS(idx, pxNewListItem, end, endprev, drop(i, cells), drop(i, vals), pxList);
|
||||
assert xLIST_ITEM(pxNewListItem, val, idx, idxprev, pxList);
|
||||
dls_star_item(idx, endprev, pxNewListItem);
|
||||
close DLS(pxNewListItem, idxprev, end, endprev, cons(pxNewListItem, drop(i, cells)), cons(val, drop(i, vals)), pxList);
|
||||
join(end, endprev, pxNewListItem, idxprev, take(i, cells), take(i, vals),
|
||||
pxNewListItem, idxprev, end, endprev, cons(pxNewListItem, drop(i, cells)), cons(val, drop(i, vals)));
|
||||
assert DLS(end, endprev, end, endprev, ?cells_new, ?vals_new, pxList);
|
||||
assert cells_new == append(take(i, cells), append(singleton(pxNewListItem), drop(i, cells)));
|
||||
assert vals_new == append(take(i, vals) , append(singleton(val), drop(i, vals)));
|
||||
head_append(take(i, cells), append(singleton(pxNewListItem), drop(i, cells)));
|
||||
take_take(1, i, cells);
|
||||
head_append(take(i, vals), append(singleton(val), drop(i, vals)));
|
||||
take_take(1, i, vals);
|
||||
close xLIST(pxList, len+1, idx, end, cells_new, vals_new);
|
||||
}
|
||||
@*/
|
||||
}
|
||||
#endif /* VERIFAST_SINGLE_CORE */
|
||||
/*-----------------------------------------------------------*/
|
||||
|
||||
void vListInsert( List_t * const pxList,
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue