remove signed integers from DoubleEndedQueue

contracts/utils/structs/DoubleEndedQueue.sol

@@ -24,6 +24,11 @@ library DoubleEndedQueue {
      */
     error Empty();
 
+    /**
+     * @dev A push operation couldn't be completed due to the queue being full.
+     */
+    error Full();
+
     /**
      * @dev An operation (e.g. {at}) couldn't be completed due to an index being out of bounds.
      */
@@ -42,18 +47,19 @@ library DoubleEndedQueue {
      * data[end - 1].
      */
     struct Bytes32Deque {
-        int128 _begin;
-        int128 _end;
-        mapping(int128 => bytes32) _data;
+        uint128 _begin;
+        uint128 _end;
+        mapping(uint128 => bytes32) _data;
     }
 
     /**
      * @dev Inserts an item at the end of the queue.
      */
     function pushBack(Bytes32Deque storage deque, bytes32 value) internal {
-        int128 backIndex = deque._end;
-        deque._data[backIndex] = value;
         unchecked {
+            uint128 backIndex = deque._end;
+            if (backIndex + 1 == deque._begin) revert Full();
+            deque._data[backIndex] = value;
             deque._end = backIndex + 1;
         }
     }
@@ -64,26 +70,26 @@ library DoubleEndedQueue {
      * Reverts with `Empty` if the queue is empty.
      */
     function popBack(Bytes32Deque storage deque) internal returns (bytes32 value) {
-        if (empty(deque)) revert Empty();
-        int128 backIndex;
         unchecked {
-            backIndex = deque._end - 1;
+            uint128 backIndex = deque._end;
+            if (backIndex == deque._begin) revert Empty();
+            --backIndex;
+            value = deque._data[backIndex];
+            delete deque._data[backIndex];
+            deque._end = backIndex;
         }
-        value = deque._data[backIndex];
-        delete deque._data[backIndex];
-        deque._end = backIndex;
     }
 
     /**
      * @dev Inserts an item at the beginning of the queue.
      */
     function pushFront(Bytes32Deque storage deque, bytes32 value) internal {
-        int128 frontIndex;
         unchecked {
-            frontIndex = deque._begin - 1;
+            uint128 frontIndex = deque._begin - 1;
+            if (frontIndex == deque._end) revert Full();
+            deque._data[frontIndex] = value;
+            deque._begin = frontIndex;
         }
-        deque._data[frontIndex] = value;
-        deque._begin = frontIndex;
     }
 
     /**
@@ -92,11 +98,11 @@ library DoubleEndedQueue {
      * Reverts with `Empty` if the queue is empty.
      */
     function popFront(Bytes32Deque storage deque) internal returns (bytes32 value) {
-        if (empty(deque)) revert Empty();
-        int128 frontIndex = deque._begin;
-        value = deque._data[frontIndex];
-        delete deque._data[frontIndex];
         unchecked {
+            uint128 frontIndex = deque._begin;
+            if (frontIndex == deque._end) revert Empty();
+            value = deque._data[frontIndex];
+            delete deque._data[frontIndex];
             deque._begin = frontIndex + 1;
         }
     }
@@ -108,8 +114,7 @@ library DoubleEndedQueue {
      */
     function front(Bytes32Deque storage deque) internal view returns (bytes32 value) {
         if (empty(deque)) revert Empty();
-        int128 frontIndex = deque._begin;
-        return deque._data[frontIndex];
+        return deque._data[deque._begin];
     }
 
     /**
@@ -119,11 +124,9 @@ library DoubleEndedQueue {
      */
     function back(Bytes32Deque storage deque) internal view returns (bytes32 value) {
         if (empty(deque)) revert Empty();
-        int128 backIndex;
         unchecked {
-            backIndex = deque._end - 1;
+            return deque._data[deque._end - 1];
         }
-        return deque._data[backIndex];
     }
 
     /**
@@ -133,10 +136,10 @@ library DoubleEndedQueue {
      * Reverts with `OutOfBounds` if the index is out of bounds.
      */
     function at(Bytes32Deque storage deque, uint256 index) internal view returns (bytes32 value) {
-        // int256(deque._begin) is a safe upcast
-        int128 idx = SafeCast.toInt128(int256(deque._begin) + SafeCast.toInt256(index));
-        if (idx >= deque._end) revert OutOfBounds();
-        return deque._data[idx];
+        if (index >= length(deque)) revert OutOfBounds();
+        unchecked {
+            return deque._data[deque._begin + SafeCast.toUint128(index)];
+        }
     }
 
     /**
@@ -154,10 +157,9 @@ library DoubleEndedQueue {
      * @dev Returns the number of items in the queue.
      */
     function length(Bytes32Deque storage deque) internal view returns (uint256) {
-        // The interface preserves the invariant that begin <= end so we assume this will not overflow.
-        // We also assume there are at most int256.max items in the queue.
+        // We also assume there are at most uint128.max items in the queue.
         unchecked {
-            return uint256(int256(deque._end) - int256(deque._begin));
+            return uint256(deque._end - deque._begin);
         }
     }
 
@@ -165,6 +167,6 @@ library DoubleEndedQueue {
      * @dev Returns true if the queue is empty.
      */
     function empty(Bytes32Deque storage deque) internal view returns (bool) {
-        return deque._end <= deque._begin;
+        return deque._end == deque._begin;
     }
 }