feat(ui): The RoomList uses sorters!

This patch “installs” the sorters API for the `RoomList`.

crates/matrix-sdk-base/src/sliding_sync.rs

@@ -292,7 +292,12 @@ impl BaseClient {
 
         trace!("ready to submit changes to store");
         store.save_changes(&changes).await?;
-        self.apply_changes(&changes, false);
+        self.apply_changes(
+            &changes,
+            // The changes may result in a latest event update, which should trigger a room list
+            // re-ordering. This the room list should be notified by these changes.
+            true,
+        );
         trace!("applied changes");
 
         // Now that all the rooms information have been saved, update the display name

crates/matrix-sdk-ui/src/room_list_service/room_list.rs

@@ -28,7 +28,11 @@ use matrix_sdk::{
 use matrix_sdk_base::RoomInfoUpdate;
 use tokio::{select, sync::broadcast};
 
-use super::{filters::BoxedFilterFn, Error, Room, State};
+use super::{
+    filters::BoxedFilterFn,
+    sorters::{new_sorter_name, new_sorter_or, new_sorter_recency},
+    Error, Room, State,
+};
 
 /// A `RoomList` represents a list of rooms, from a
 /// [`RoomListService`](super::RoomListService).
@@ -161,6 +165,10 @@ impl RoomList {
 
                 let (values, stream) = (raw_values, merged_stream)
                     .filter(filter_fn)
+                    .sort_by(new_sorter_or(vec![
+                        Box::new(new_sorter_recency()),
+                        Box::new(new_sorter_name())
+                    ]))
                     .dynamic_limit_with_initial_value(page_size, limit_stream.clone());
 
                 // Clearing the stream before chaining with the real stream.
@@ -196,7 +204,7 @@ fn merge_stream_and_receiver(
 
                     // Search list for the updated room
                     for (index, room) in raw_current_values.iter().enumerate() {
-                        if room.room_id() == &update.room_id {
+                        if room.room_id() == update.room_id {
                             let update = VectorDiff::Set { index, value: raw_current_values[index].clone() };
                             yield vec![update];
                             break;