Reland r24563 and r24564 with fixes cumbersome API leading to leaks.

runtime/vm/vm_sources.gypi

 # Copyright (c) 2013, the Dart project authors.  Please see the AUTHORS file
 # for details. All rights reserved. Use of this source code is governed by a
 # BSD-style license that can be found in the LICENSE file.
 
 # This file contains all sources (vm and tests) for the dart virtual machine.
 # Unit test files need to have a '_test' suffix appended to the name.
 {
   'sources': [
     'allocation.cc',
     'allocation.h',
@@ skipping 319 matching lines @@
     'virtual_memory.cc',
     'virtual_memory.h',
     'virtual_memory_android.cc',
     'virtual_memory_linux.cc',
     'virtual_memory_macos.cc',
     'virtual_memory_test.cc',
     'virtual_memory_win.cc',
     'visitor.h',
     'vtune.cc',
     'vtune.h',
+    'weak_table.cc',
+    'weak_table.h',
     'zone.cc',
     'zone.h',
     'zone_test.cc',
   ],
 }