add uri normalization

app/lib/extensions/uri.dart

@@ -29,4 +29,14 @@ extension UriX on Uri {
   bool get isHttp => isScheme('http');
   bool get isHttps => isScheme('https');
   bool get isHttpOrHttps => isHttp || isHttps;
+
+  /// Removes a bare root path (`/`) when there is no query or fragment, so
+  /// that `https://example.com/` and `https://example.com` are treated as
+  /// equivalent.
+  Uri get normalized {
+    if (path == '/' && !hasQuery && !hasFragment) {
+      return replace(path: '');
+    }
+    return this;
+  }
 }

app/lib/features/geckoview/features/search/presentation/screens/search.dart

@@ -168,7 +168,8 @@ class SearchScreen extends HookConsumerWidget {
         if (startedWithUrl) {
           hasUserModifiedInput.value = text != initialSearchText;
         }
-        isUrlInput.value = text.isNotEmpty &&
+        isUrlInput.value =
+            text.isNotEmpty &&
             classifyAddressBarInput(text) is NavigateInputClassification;
       },
     );
@@ -371,26 +372,18 @@ class SearchScreen extends HookConsumerWidget {
     }
 
     final emptyStateWidgets = <SearchModuleType, Widget>{
-      SearchModuleType.topSites: TopSitesSection(
+      SearchModuleType.topSites: TopSitesSection(onUriSelected: openUriInTab),
-        onUriSelected: openUriInTab,
-      ),
       SearchModuleType.recentArticles: RecentFeedArticlesSection(
         onArticleSelected: (article) {
-          unawaited(
+          FeedArticleRoute(articleId: article.id).pushReplacement(context);
-            FeedArticleRoute(articleId: article.id).push(context),
-          );
         },
       ),
       SearchModuleType.recentTabs: RecentTabsSection(
         onTabSelected: (tabId) async {
-          await ref
+          await ref.read(tabRepositoryProvider.notifier).selectTab(tabId);
-              .read(tabRepositoryProvider.notifier)
-              .selectTab(tabId);
 
           if (context.mounted) {
-            ref
+            ref.read(bottomSheetControllerProvider.notifier).requestDismiss();
-                .read(bottomSheetControllerProvider.notifier)
-                .requestDismiss();
             const BrowserRoute().go(context);
           }
         },
@@ -436,9 +429,7 @@ class SearchScreen extends HookConsumerWidget {
     };
 
     final searchWidgets = <SearchModuleType, Widget>{
-      SearchModuleType.tabs: TabSearch(
+      SearchModuleType.tabs: TabSearch(searchTextListenable: sampledSearchText),
-        searchTextListenable: sampledSearchText,
-      ),
       SearchModuleType.bookmarks: BookmarkSearch(
         searchTextListenable: sampledSearchText,
         onUriSelected: openUriInTab,
@@ -671,9 +662,7 @@ class SearchScreen extends HookConsumerWidget {
                       (!isUrlInput.value ||
                           entry.type != SearchModuleType.articles))
                     searchWidgets[entry.type]!,
-                const _CustomizeSectionsButton(
+                const _CustomizeSectionsButton(group: SearchModuleGroup.search),
-                  group: SearchModuleGroup.search,
-                ),
               ],
             ],
           ),

app/lib/features/geckoview/features/top_sites/data/database/daos/top_site.dart

@@ -18,6 +18,7 @@
  * along with this program. If not, see <http://www.gnu.org/licenses/>.
  */
 import 'package:drift/drift.dart';
+import 'package:weblibre/extensions/uri.dart';
 import 'package:weblibre/features/geckoview/features/top_sites/data/database/daos/top_site.drift.dart';
 import 'package:weblibre/features/geckoview/features/top_sites/data/database/database.dart';
 import 'package:weblibre/features/geckoview/features/top_sites/data/database/definitions.drift.dart';
@@ -42,7 +43,8 @@ class TopSiteDao extends DatabaseAccessor<TopSiteDatabase>
   }
 
   Future<TopSiteData?> getPersistedTopSiteByUrl(Uri url) {
-    return (db.topSite.select()..where((t) => t.url.equalsValue(url)))
+    return (db.topSite.select()
+          ..where((t) => t.url.equalsValue(url.normalized)))
         .getSingleOrNull();
   }
 
@@ -63,7 +65,7 @@ class TopSiteDao extends DatabaseAccessor<TopSiteDatabase>
       TopSiteCompanion.insert(
         id: id,
         title: title,
-        url: url,
+        url: url.normalized,
         source: StoredTopSiteSource.pinned,
         orderKey: orderKey,
         createdAt: DateTime.now(),
@@ -83,7 +85,7 @@ class TopSiteDao extends DatabaseAccessor<TopSiteDatabase>
     required Uri url,
   }) {
     return (db.topSite.update()..where((t) => t.id.equals(id))).write(
-      TopSiteCompanion(title: Value(title), url: Value(url)),
+      TopSiteCompanion(title: Value(title), url: Value(url.normalized)),
     );
   }
 

app/lib/features/geckoview/features/top_sites/domain/repositories/top_site_repository.dart

@@ -22,6 +22,7 @@ import 'dart:async';
 import 'package:drift/drift.dart';
 import 'package:riverpod_annotation/riverpod_annotation.dart';
 import 'package:weblibre/core/uuid.dart';
+import 'package:weblibre/extensions/uri.dart';
 import 'package:weblibre/features/geckoview/features/history/domain/repositories/history.dart';
 import 'package:weblibre/features/geckoview/features/top_sites/data/database/definitions.drift.dart';
 import 'package:weblibre/features/geckoview/features/top_sites/data/entities/stored_top_site_source.dart';
@@ -55,7 +56,7 @@ class TopSiteRepository extends _$TopSiteRepository {
           TopSiteCompanion.insert(
             id: uuid.v7(),
             title: seeds[i].title,
-            url: seeds[i].url,
+            url: seeds[i].url.normalized,
             source: StoredTopSiteSource.seeded,
             orderKey: orderKey,
             createdAt: now,
@@ -80,7 +81,9 @@ class TopSiteRepository extends _$TopSiteRepository {
     final remaining = targetCount - persisted.length;
     final historyItems = await _getHistoryItems(
       limit: remaining,
-      excludeUrls: persisted.map((s) => s.url.toString()).toSet(),
+      excludeUrls: persisted
+          .map((s) => s.url.normalized.toString())
+          .toSet(),
     );
 
     return [...persisted, ...historyItems];
@@ -103,7 +106,9 @@ class TopSiteRepository extends _$TopSiteRepository {
       final remaining = targetCount - persistedItems.length;
       final historyItems = await _getHistoryItems(
         limit: remaining,
-        excludeUrls: persistedItems.map((s) => s.url.toString()).toSet(),
+        excludeUrls: persistedItems
+            .map((s) => s.url.normalized.toString())
+            .toSet(),
       );
 
       return [...persistedItems, ...historyItems];
@@ -259,7 +264,7 @@ class TopSiteRepository extends _$TopSiteRepository {
       final uri = Uri.tryParse(site.url);
       if (uri == null) continue;
 
-      if (excludeUrls.contains(uri.toString())) continue;
+      if (excludeUrls.contains(uri.normalized.toString())) continue;
 
       final title = (site.title?.trim().isNotEmpty == true)
           ? site.title!.trim()