[Sync] Move the last things out of core/.

components/sync/core/sync_db_util.cc

-// Copyright 2014 The Chromium Authors. All rights reserved.
-// Use of this source code is governed by a BSD-style license that can be
-// found in the LICENSE file.
-
-#include "components/sync/base/sync_db_util.h"
-
-#include "base/files/file_path.h"
-#include "base/single_thread_task_runner.h"
-#include "components/sync/syncable/directory.h"
-#include "sql/connection.h"
-
-namespace syncer {
-
-void CheckSyncDbLastModifiedTime(
-    const base::FilePath& sync_dir,
-    scoped_refptr<base::SingleThreadTaskRunner> callback_runner,
-    base::Callback<void(base::Time)> callback) {
-  const base::FilePath sync_db =
-      sync_dir.Append(syncable::Directory::kSyncDatabaseFilename);
-
-  base::File f(sync_db, base::File::FLAG_OPEN | base::File::FLAG_READ);
-  base::File::Info info;
-  if (!f.IsValid() || !f.GetInfo(&info)) {
-    callback_runner->PostTask(FROM_HERE, base::Bind(callback, base::Time()));
-    return;
-  }
-  f.Close();
-
-  sql::Connection db;
-  if (!db.Open(sync_db) || !db.QuickIntegrityCheck()) {
-    callback_runner->PostTask(FROM_HERE, base::Bind(callback, base::Time()));
-  } else {
-    callback_runner->PostTask(FROM_HERE,
-                              base::Bind(callback, info.last_modified));
-  }
-}
-
-}  // namespace syncer