diff --git a/layout/painting/nsDisplayList.cpp b/layout/painting/nsDisplayList.cpp
index a8b493d22ad9..2ddca741dc09 100644
--- a/layout/painting/nsDisplayList.cpp
+++ b/layout/painting/nsDisplayList.cpp
@@ -2482,45 +2482,6 @@ void nsDisplayList::HitTest(nsDisplayListBuilder* aBuilder, const nsRect& aRect,
                "How did we forget to pop some elements?");
 }
 
-static void Sort(nsDisplayList* aList, int32_t aCount, nsDisplayList::SortLEQ aCmp,
-                 void* aClosure) {
-  if (aCount < 2)
-    return;
-
-  nsDisplayList list1;
-  nsDisplayList list2;
-  int i;
-  int32_t half = aCount/2;
-  bool sorted = true;
-  nsDisplayItem* prev = nullptr;
-  for (i = 0; i < aCount; ++i) {
-    nsDisplayItem* item = aList->RemoveBottom();
-    (i < half ? &list1 : &list2)->AppendToTop(item);
-    if (sorted && prev && !aCmp(prev, item, aClosure)) {
-      sorted = false;
-    }
-    prev = item;
-  }
-  if (sorted) {
-    aList->AppendToTop(&list1);
-    aList->AppendToTop(&list2);
-    return;
-  }
-
-  Sort(&list1, half, aCmp, aClosure);
-  Sort(&list2, aCount - half, aCmp, aClosure);
-
-  for (i = 0; i < aCount; ++i) {
-    if (list1.GetBottom() &&
-        (!list2.GetBottom() ||
-         aCmp(list1.GetBottom(), list2.GetBottom(), aClosure))) {
-      aList->AppendToTop(list1.RemoveBottom());
-    } else {
-      aList->AppendToTop(list2.RemoveBottom());
-    }
-  }
-}
-
 static nsIContent* FindContentInDocument(nsDisplayItem* aItem, nsIDocument* aDoc) {
   nsIFrame* f = aItem->Frame();
   while (f) {
@@ -2533,41 +2494,55 @@ static nsIContent* FindContentInDocument(nsDisplayItem* aItem, nsIDocument* aDoc
   return nullptr;
 }
 
-static bool IsContentLEQ(nsDisplayItem* aItem1, nsDisplayItem* aItem2,
-                         void* aClosure) {
-  nsIContent* commonAncestor = static_cast<nsIContent*>(aClosure);
-  // It's possible that the nsIContent for aItem1 or aItem2 is in a subdocument
-  // of commonAncestor, because display items for subdocuments have been
-  // mixed into the same list. Ensure that we're looking at content
-  // in commonAncestor's document.
-  nsIDocument* commonAncestorDoc = commonAncestor->OwnerDoc();
-  nsIContent* content1 = FindContentInDocument(aItem1, commonAncestorDoc);
-  nsIContent* content2 = FindContentInDocument(aItem2, commonAncestorDoc);
-  if (!content1 || !content2) {
-    NS_ERROR("Document trees are mixed up!");
-    // Something weird going on
-    return true;
-  }
-  return nsLayoutUtils::CompareTreePosition(content1, content2, commonAncestor) <= 0;
-}
+struct ZSortItem {
+  nsDisplayItem* item;
+  int32_t zIndex;
 
-static bool IsZOrderLEQ(nsDisplayItem* aItem1, nsDisplayItem* aItem2,
-                        void* aClosure) {
-  // Note that we can't just take the difference of the two
-  // z-indices here, because that might overflow a 32-bit int.
-  return aItem1->ZIndex() <= aItem2->ZIndex();
-}
+  explicit ZSortItem(nsDisplayItem* aItem)
+    : item(aItem), zIndex(aItem->ZIndex()) {}
+
+  operator nsDisplayItem*() {
+    return item;
+  }
+};
+
+struct ZOrderComparator {
+  bool operator()(const ZSortItem& aLeft, const ZSortItem& aRight) const {
+    // Note that we can't just take the difference of the two
+    // z-indices here, because that might overflow a 32-bit int.
+    return aLeft.zIndex < aRight.zIndex;
+  }
+};
 
 void nsDisplayList::SortByZOrder() {
-  Sort(IsZOrderLEQ, nullptr);
+  Sort<ZSortItem>(ZOrderComparator());
 }
 
+struct ContentComparator {
+  nsIContent* mCommonAncestor;
+
+  explicit ContentComparator(nsIContent* aCommonAncestor)
+    : mCommonAncestor(aCommonAncestor) {}
+
+  bool operator()(nsDisplayItem* aLeft, nsDisplayItem* aRight) const {
+    // It's possible that the nsIContent for aItem1 or aItem2 is in a subdocument
+    // of commonAncestor, because display items for subdocuments have been
+    // mixed into the same list. Ensure that we're looking at content
+    // in commonAncestor's document.
+    nsIDocument* commonAncestorDoc = mCommonAncestor->OwnerDoc();
+    nsIContent* content1 = FindContentInDocument(aLeft, commonAncestorDoc);
+    nsIContent* content2 = FindContentInDocument(aRight, commonAncestorDoc);
+    if (!content1 || !content2) {
+      NS_ERROR("Document trees are mixed up!");
+      // Something weird going on
+      return true;
+    }
+    return nsLayoutUtils::CompareTreePosition(content1, content2, mCommonAncestor) < 0;
+  }
+};
+
 void nsDisplayList::SortByContentOrder(nsIContent* aCommonAncestor) {
-  Sort(IsContentLEQ, aCommonAncestor);
-}
-
-void nsDisplayList::Sort(SortLEQ aCmp, void* aClosure) {
-  ::Sort(this, Count(), aCmp, aClosure);
+  Sort<nsDisplayItem*>(ContentComparator(aCommonAncestor));
 }
 
 nsDisplayItem::nsDisplayItem(nsDisplayListBuilder* aBuilder, nsIFrame* aFrame)
diff --git a/layout/painting/nsDisplayList.h b/layout/painting/nsDisplayList.h
index ad3c1ed90960..1e8eaf6c6c15 100644
--- a/layout/painting/nsDisplayList.h
+++ b/layout/painting/nsDisplayList.h
@@ -2328,14 +2328,26 @@ public:
   void SortByContentOrder(nsIContent* aCommonAncestor);
 
   /**
-   * Generic stable sort. Take care, because some of the items might be nsDisplayLists
-   * themselves.
-   * aCmp(item1, item2) should return true if item1 <= item2. We sort the items
-   * into increasing order.
+   * Sort the display list using a stable sort. Take care, because some of the
+   * items might be nsDisplayLists themselves.
+   * aComparator(Item item1, Item item2) should return true if item1 should go
+   * before item2.
+   * We sort the items into increasing order.
    */
-  typedef bool (* SortLEQ)(nsDisplayItem* aItem1, nsDisplayItem* aItem2,
-                             void* aClosure);
-  void Sort(SortLEQ aCmp, void* aClosure);
+  template<typename Item, typename Comparator>
+  void Sort(const Comparator& aComparator) {
+    nsTArray<Item> items;
+
+    while (nsDisplayItem* item = RemoveBottom()) {
+      items.AppendElement(Item(item));
+    }
+
+    std::stable_sort(items.begin(), items.end(), aComparator);
+
+    for (Item& item : items) {
+      AppendToTop(item);
+    }
+  }
 
   /**
    * Compute visiblity for the items in the list.
diff --git a/layout/tables/nsTableFrame.cpp b/layout/tables/nsTableFrame.cpp
index b452156c2abb..4541aa3d36a8 100644
--- a/layout/tables/nsTableFrame.cpp
+++ b/layout/tables/nsTableFrame.cpp
@@ -1305,11 +1305,11 @@ GetTablePartRank(nsDisplayItem* aItem)
   return 3;
 }
 
-static bool CompareByTablePartRank(nsDisplayItem* aItem1, nsDisplayItem* aItem2,
-                                     void* aClosure)
-{
-  return GetTablePartRank(aItem1) <= GetTablePartRank(aItem2);
-}
+struct TablePartRankComparator {
+  bool operator()(nsDisplayItem* aItem1, nsDisplayItem* aItem2) const {
+    return GetTablePartRank(aItem1) < GetTablePartRank(aItem2);
+  }
+};
 
 /* static */ void
 nsTableFrame::GenericTraversal(nsDisplayListBuilder* aBuilder, nsFrame* aFrame,
@@ -1385,7 +1385,7 @@ nsTableFrame::DisplayGenericTablePart(nsDisplayListBuilder* aBuilder,
     // Ensure that the table frame event background goes before the
     // table rowgroups event backgrounds, before the table row event backgrounds,
     // before everything else (cells and their blocks)
-    separatedCollection.BorderBackground()->Sort(CompareByTablePartRank, nullptr);
+    separatedCollection.BorderBackground()->Sort<nsDisplayItem*>(TablePartRankComparator());
     separatedCollection.MoveTo(aLists);
   }
 
@@ -1402,7 +1402,7 @@ static inline bool FrameHasBorderOrBackground(nsTableFrame* tableFrame, nsIFrame
   }
   if (!f->StyleBackground()->IsTransparent(f) ||
       f->StyleDisplay()->mAppearance) {
-    
+
     nsTableCellFrame *cellFrame = do_QueryFrame(f);
     // We could also return false here if the current frame is the root
     // of a pseudo stacking context