Store recording invalidations in DisplayListRecordingSource, save them via Update.

cc/playback/display_list_recording_source.cc

Index: cc/playback/display_list_recording_source.cc
diff --git a/cc/playback/display_list_recording_source.cc b/cc/playback/display_list_recording_source.cc
index 52c8277032da95e97f0450be380336659f1cf7b5..a6f558492dbdc1b920035af16dc87ff2ca43d9f1 100644
--- a/cc/playback/display_list_recording_source.cc
+++ b/cc/playback/display_list_recording_source.cc
@@ -117,6 +117,14 @@ void DisplayListRecordingSource::FinishDisplayItemListUpdate() {
     display_list_->GenerateDiscardableImagesMetadata();
 }
 
+void DisplayListRecordingSource::SetNeedsDisplayRect(
+    const gfx::Rect& layer_rect) {
+  if (!layer_rect.IsEmpty()) {
+    // Clamp invalidation to the layer bounds.
+    invalidation_.Union(gfx::IntersectRects(layer_rect, gfx::Rect(size_)));
+  }
+}
+
 bool DisplayListRecordingSource::UpdateAndExpandInvalidation(
     ContentLayerClient* painter,
     Region* invalidation,
@@ -133,6 +141,9 @@ bool DisplayListRecordingSource::UpdateAndExpandInvalidation(
     updated = true;
   }
 
+  invalidation_.Swap(invalidation);
+  invalidation_.Clear();
+
   gfx::Rect new_recorded_viewport = painter->PaintableRegion();
   if (new_recorded_viewport != recorded_viewport_) {
     UpdateInvalidationForNewViewport(recorded_viewport_, new_recorded_viewport,
@@ -150,6 +161,9 @@ bool DisplayListRecordingSource::UpdateAndExpandInvalidation(
   if (!updated && !invalidation->Intersects(recorded_viewport_))
     return false;
 
+  if (invalidation->IsEmpty())
+    return false;
+
   ContentLayerClient::PaintingControlSetting painting_control =
       ContentLayerClient::PAINTING_BEHAVIOR_NORMAL;