Delete MessageLoop::Run()/RunUntilIdle().

These methods are deprecated and no longer used in Chrome.
base::RunLoop must be used instead.

e.g.:

Replace
  message_loop.Run();
With
  base::RunLoop run_loop;
  // Pass |run_loop.QuitClosure()| to an object/task
  // that will quit the RunLoop when appropriate.
  run_loop.Run();

Replace
  message_loop.RunUntilIdle();
With
  base::RunLoop().RunUntilIdle();

BUG=616447

Review-Url: https://codereview.chromium.org/2356383003
Cr-Commit-Position: refs/heads/master@{#421068}

base/message_loop/message_loop.cc

@@ -272,18 +272,6 @@ void MessageLoop::RemoveNestingObserver(NestingObserver* observer) {
   nesting_observers_.RemoveObserver(observer);
 }
 
-void MessageLoop::Run() {
-  DCHECK(pump_);
-  RunLoop run_loop;
-  run_loop.Run();
-}
-
-void MessageLoop::RunUntilIdle() {
-  DCHECK(pump_);
-  RunLoop run_loop;
-  run_loop.RunUntilIdle();
-}
-
 void MessageLoop::QuitWhenIdle() {
   DCHECK_EQ(this, current());
   if (run_loop_) {

base/message_loop/message_loop.h

@@ -178,23 +178,6 @@ class BASE_EXPORT MessageLoop : public MessagePump::Delegate {
   void AddNestingObserver(NestingObserver* observer);
   void RemoveNestingObserver(NestingObserver* observer);
 
-#if defined(OS_MACOSX) && !defined(OS_IOS)
- protected:
-#endif  // defined(OS_MACOSX) && !defined(OS_IOS)
-
-  // Deprecated: use RunLoop instead.
-  // Run the message loop.
-  void Run();
-
-  // Deprecated: use RunLoop instead.
-  // Process all pending tasks, windows messages, etc., but don't wait/sleep.
-  // Return as soon as all items that can be run are taken care of.
-  void RunUntilIdle();
-
-#if defined(OS_MACOSX) && !defined(OS_IOS)
- public:
-#endif  // defined(OS_MACOSX) && !defined(OS_IOS)
-
   // Deprecated: use RunLoop instead.
   //
   // Signals the Run method to return when it becomes idle. It will continue to
@@ -506,9 +489,6 @@ class BASE_EXPORT MessageLoop : public MessagePump::Delegate {
 //
 class BASE_EXPORT MessageLoopForUI : public MessageLoop {
  public:
-  using MessageLoop::Run;
-  using MessageLoop::RunUntilIdle;
-
   MessageLoopForUI() : MessageLoop(TYPE_UI) {
   }
 
@@ -574,9 +554,6 @@ static_assert(sizeof(MessageLoop) == sizeof(MessageLoopForUI),
 //
 class BASE_EXPORT MessageLoopForIO : public MessageLoop {
  public:
-  using MessageLoop::Run;
-  using MessageLoop::RunUntilIdle;
-
   MessageLoopForIO() : MessageLoop(TYPE_IO) {
   }