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DLL loops to address(0) #141

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147 changes: 13 additions & 134 deletions certora/applyHarnessFifo.patch
Original file line number Diff line number Diff line change
@@ -1,146 +1,25 @@
diff -ruN DoubleLinkedList.sol DoubleLinkedList.sol
--- DoubleLinkedList.sol 2023-05-23 16:01:50.888803463 +0200
+++ DoubleLinkedList.sol 2023-05-23 16:44:01.777091764 +0200
@@ -18,6 +18,8 @@
--- DoubleLinkedList.sol 2024-08-14 10:10:08.974975205 +0200
+++ DoubleLinkedList.sol 2024-08-14 10:14:10.970436843 +0200
@@ -16,6 +16,8 @@

struct List {
mapping(address => Account) accounts;
address head;
address tail;
+ address insertedBefore; // HARNESS: address of the account before which the account was inserted at last insertion.
+ address insertedAfter; // HARNESS: address of the account after which the account was inserted at last insertion.
}

/* ERRORS */
@@ -101,14 +103,18 @@

@@ -101,10 +103,12 @@
uint256 numberOfIterations;
address next = list.head; // If not added at the end of the list `id` will be inserted before `next`.
+ list.insertedAfter = address(0); // HARNESS

while (numberOfIterations < maxIterations && next != address(0) && list.accounts[next].value >= value) {
for (; numberOfIterations < maxIterations; numberOfIterations++) {
if (next == address(0) || list.accounts[next].value < value) break;
+ list.insertedAfter = next; // HARNESS
next = list.accounts[next].next;
unchecked {
++numberOfIterations;
}
next = getNext(list, next);
}

if (numberOfIterations == maxIterations) next = address(0);
+ list.insertedBefore = next; // HARNESS
+
// Account is not the new tail.
if (numberOfIterations < maxIterations && next != address(0)) {
// Account is the new head.
diff -ruN MockDLL.sol MockDLL.sol
--- MockDLL.sol 1970-01-01 01:00:00.000000000 +0100
+++ MockDLL.sol 2023-05-23 16:42:32.913885637 +0200
@@ -0,0 +1,111 @@
+// SPDX-License-Identifier: AGPL-3.0-only
+pragma solidity ^0.8.0;
+
+import "./DoubleLinkedList.sol";
+
+contract MockDLL {
+ using DoubleLinkedList for DoubleLinkedList.List;
+
+ // VERIFICATION INTERFACE
+
+ DoubleLinkedList.List public dll;
+
+ uint256 public maxIterations;
+
+ uint256 internal dummy_state_variable;
+
+ function dummy_state_modifying_function() public {
+ // to fix a CVL error when only one function is accessible
+ dummy_state_variable = 1;
+ }
+
+ function getValueOf(address _id) public view returns (uint256) {
+ return dll.getValueOf(_id);
+ }
+
+ function getHead() public view returns (address) {
+ return dll.getHead();
+ }
+
+ function getTail() public view returns (address) {
+ return dll.getTail();
+ }
+
+ function getNext(address _id) public view returns (address) {
+ return dll.getNext(_id);
+ }
+
+ function getPrev(address _id) public view returns (address) {
+ return dll.getPrev(_id);
+ }
+
+ function remove(address _id) public {
+ dll.remove(_id);
+ }
+
+ function insertSorted(
+ address _id,
+ uint256 _value,
+ uint256 _maxIterations
+ ) public {
+ dll.insertSorted(_id, _value, _maxIterations);
+ }
+
+ // SPECIFICATION HELPERS
+
+ function getInsertedAfter() public view returns (address) {
+ return dll.insertedAfter;
+ }
+
+ function getInsertedBefore() public view returns (address) {
+ return dll.insertedBefore;
+ }
+
+ function getLength() public view returns (uint256) {
+ uint256 len;
+ for (address current = getHead(); current != address(0); current = getNext(current)) len++;
+ return len;
+ }
+
+ function linkBetween(address _start, address _end) internal view returns (bool, address) {
+ if (_start == _end) return (true, address(0));
+ for (uint256 maxIter = getLength(); maxIter > 0; maxIter--) {
+ address next = getNext(_start);
+ if (next == _end) return (true, _start);
+ _start = next;
+ }
+ return (false, address(0));
+ }
+
+ function isForwardLinkedBetween(address _start, address _end) public view returns (bool ret) {
+ (ret, ) = linkBetween(_start, _end);
+ }
+
+ function getPreceding(address _end) public view returns (address last) {
+ (, last) = linkBetween(getHead(), _end);
+ }
+
+ function greaterThanUpTo(
+ uint256 _value,
+ address _to,
+ uint256 _maxIter
+ ) public view returns (bool) {
+ address from = getHead();
+ for (; _maxIter > 0; _maxIter--) {
+ if (from == _to) return true;
+ if (getValueOf(from) < _value) return false;
+ from = getNext(from);
+ }
+ return true;
+ }
+
+ function lenUpTo(address _to) public view returns (uint256) {
+ uint256 maxIter = getLength();
+ address from = getHead();
+ for (; maxIter > 0; maxIter--) {
+ if (from == _to) break;
+ from = getNext(from);
+ }
+ return getLength() - maxIter;
+ }
+}

address prev = getPrev(list, next);
list.accounts[id] = Account(prev, next, value);
138 changes: 18 additions & 120 deletions certora/applyHarnessSimple.patch
Original file line number Diff line number Diff line change
@@ -1,16 +1,16 @@
diff -ruN DoubleLinkedList.sol DoubleLinkedList.sol
--- DoubleLinkedList.sol 2023-05-23 16:01:50.888803463 +0200
+++ DoubleLinkedList.sol 2023-05-23 16:34:10.324900474 +0200
@@ -18,6 +18,8 @@
--- DoubleLinkedList.sol 2024-08-14 10:10:08.974975205 +0200
+++ DoubleLinkedList.sol 2024-08-14 10:13:25.455164370 +0200
@@ -16,6 +16,8 @@

struct List {
mapping(address => Account) accounts;
address head;
address tail;
+ address insertedBefore; // HARNESS: address of the account before which the account was inserted at last insertion.
+ address insertedAfter; // HARNESS: address of the account after which the account was inserted at last insertion.
}

/* ERRORS */
@@ -93,24 +95,23 @@
@@ -90,21 +92,20 @@
/// @param list The list to search in.
/// @param id The address of the account.
/// @param value The value of the account.
Expand All @@ -21,120 +21,18 @@ diff -ruN DoubleLinkedList.sol DoubleLinkedList.sol
if (id == address(0)) revert AddressIsZero();
if (list.accounts[id].value != 0) revert AccountAlreadyInserted();

- uint256 numberOfIterations;
- address next = list.head; // If not added at the end of the list `id` will be inserted before `next`.
+ list.insertedAfter = address(0);
+ address next = list.head; // `id` will be inserted before `next`.
address next = getHead(list); // `id` will be inserted before `next`.

- while (numberOfIterations < maxIterations && next != address(0) && list.accounts[next].value >= value) {
+ while (next != address(0) && list.accounts[next].value >= value) {
+ list.insertedAfter = next;
next = list.accounts[next].next;
- unchecked {
- ++numberOfIterations;
- }
- uint256 numberOfIterations;
- for (; numberOfIterations < maxIterations; numberOfIterations++) {
+ for (;;) {
if (next == address(0) || list.accounts[next].value < value) break;
+ list.insertedAfter = next; // HARNESS
next = getNext(list, next);
}

+ list.insertedBefore = next;
+
// Account is not the new tail.
- if (numberOfIterations < maxIterations && next != address(0)) {
+ if (next != address(0)) {
// Account is the new head.
if (next == list.head) {
list.accounts[id] = Account({prev: address(0), next: next, value: value});
diff -ruN MockDLL.sol MockDLL.sol
--- MockDLL.sol 1970-01-01 01:00:00.000000000 +0100
+++ MockDLL.sol 2023-05-23 16:16:00.233326262 +0200
@@ -0,0 +1,91 @@
+// SPDX-License-Identifier: AGPL-3.0-only
+pragma solidity ^0.8.0;
+
+import "./DoubleLinkedList.sol";
+
+contract MockDLL {
+ using DoubleLinkedList for DoubleLinkedList.List;
+
+ // VERIFICATION INTERFACE
+
+ DoubleLinkedList.List public dll;
+
+ uint256 internal dummy_state_variable;
+
+ function dummy_state_modifying_function() public {
+ // to fix a CVL error when only one function is accessible
+ dummy_state_variable = 1;
+ }
+
+ function getValueOf(address _id) public view returns (uint256) {
+ return dll.getValueOf(_id);
+ }
+
+ function getHead() public view returns (address) {
+ return dll.getHead();
+ }
+
+ function getTail() public view returns (address) {
+ return dll.getTail();
+ }
+
+ function getNext(address _id) public view returns (address) {
+ return dll.getNext(_id);
+ }
+
+ function getPrev(address _id) public view returns (address) {
+ return dll.getPrev(_id);
+ }
+
+ function remove(address _id) public {
+ dll.remove(_id);
+ }
+
+ function insertSorted(address _id, uint256 _value) public {
+ dll.insertSorted(_id, _value);
+ }
+
+ // SPECIFICATION HELPERS
+
+ function getInsertedAfter() public view returns (address) {
+ return dll.insertedAfter;
+ }
+
+ function getInsertedBefore() public view returns (address) {
+ return dll.insertedBefore;
+ }
+
+ function getLength() internal view returns (uint256) {
+ uint256 len;
+ for (address current = getHead(); current != address(0); current = getNext(current)) len++;
+ return len;
+ }
+
+ function linkBetween(address _start, address _end) internal view returns (bool, address) {
+ if (_start == _end) return (true, address(0));
+ for (uint256 maxIter = getLength(); maxIter > 0; maxIter--) {
+ address next = getNext(_start);
+ if (next == _end) return (true, _start);
+ _start = next;
+ }
+ return (false, address(0));
+ }
+
+ function isForwardLinkedBetween(address _start, address _end) public view returns (bool ret) {
+ (ret, ) = linkBetween(_start, _end);
+ }
+
+ function getPreceding(address _end) public view returns (address last) {
+ (, last) = linkBetween(getHead(), _end);
+ }
+
+ function isDecrSortedFrom(address _start) public view returns (bool) {
+ for (uint256 maxIter = getLength(); maxIter > 0; maxIter--) {
+ address next = getNext(_start);
+ if (next == address(0)) return true;
+ if (getValueOf(_start) < getValueOf(next)) return false;
+ _start = getNext(_start);
+ }
+ return true;
+ }
+}
- if (numberOfIterations == maxIterations) next = address(0);
+ list.insertedBefore = next; // HARNESS

address prev = getPrev(list, next);
list.accounts[id] = Account(prev, next, value);
4 changes: 2 additions & 2 deletions certora/confs/DllFifo.conf
Original file line number Diff line number Diff line change
@@ -1,9 +1,9 @@
{
"files": [
"certora/munged-fifo/MockDLL.sol",
"certora/helpers/MockDllFifo.sol",
],
"solc": "solc-0.8.17",
"verify": "MockDLL:certora/specs/DllFifo.spec",
"verify": "MockDllFifo:certora/specs/DllFifo.spec",
"loop_iter": "4",
"optimistic_loop": true,
"rule_sanity": "basic",
Expand Down
4 changes: 2 additions & 2 deletions certora/confs/DllSimple.conf
Original file line number Diff line number Diff line change
@@ -1,9 +1,9 @@
{
"files": [
"certora/munged-simple/MockDLL.sol",
"certora/helpers/MockDllSimple.sol",
],
"solc": "solc-0.8.17",
"verify": "MockDLL:certora/specs/DllSimple.spec",
"verify": "MockDllSimple:certora/specs/DllSimple.spec",
"loop_iter": "7",
"optimistic_loop": true,
"rule_sanity": "basic",
Expand Down
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