Implement some missing file util functions.

base/file_path.h

 // Copyright (c) 2008 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.
 
 // FilePath is a container for pathnames stored in a platform's native string
 // type, providing containers for manipulation in according with the
 // platform's conventions for pathnames.  It supports the following path
 // types:
 //
 //                   POSIX            Windows
@@ skipping 98 matching lines @@
 
   FilePath() {}
   FilePath(const FilePath& that) : path_(that.path_) {}
   explicit FilePath(const StringType& path) : path_(path) {}
 
   FilePath& operator=(const FilePath& that) {
     path_ = that.path_;
     return *this;
   }
 
+  bool operator==(const FilePath& that) const {
+    return path_ == that.path_;
+  }
+
   const StringType& value() const { return path_; }
 
   // Returns a FilePath corresponding to the directory containing the path
   // named by this object, stripping away the file component.  If this object
   // only contains one component, returns a FilePath identifying
   // kCurrentDirectory.  If this object already refers to the root directory,
   // returns a FilePath identifying the root directory.
   FilePath DirName() const;
 
   // Returns a FilePath corresponding to the last path component of this
@@ skipping 49 matching lines @@
 };
 
 // Macros for string literal initialization of FilePath::CharType[].
 #if defined(OS_POSIX)
 #define FILE_PATH_LITERAL(x) x
 #elif defined(OS_WIN)
 #define FILE_PATH_LITERAL(x) L ## x
 #endif  // OS_WIN
 
 #endif  // BASE_FILE_PATH_H_