Update chrome.metricsPrivate externs and make closure fixes

remoting/webapp/base/js/client_session.js

 // Copyright (c) 2012 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.
 
 /**
  * @fileoverview
  * Class handling creation and teardown of a remoting client session.
  *
  * The ClientSession class controls lifetime of the client plugin
  * object and provides the plugin with the functionality it needs to
@@ skipping 585 matching lines @@
  * @param {remoting.ClientSession.State} state State identifier.
  */
 function recordState(state) {
   // According to src/base/metrics/histogram.h, for a UMA enumerated histogram,
   // the upper limit should be 1 above the max-enum.
   var histogram_max = remoting.ClientSession.State.MAX_STATE_ENUM -
       remoting.ClientSession.State.MIN_STATE_ENUM + 1;
 
   var metricDescription = {
     metricName: 'Chromoting.Connections',
-    type: 'histogram-linear',
+    type: chrome.metricsPrivate.MetricTypeType.HISTOGRAM_LINEAR,
     // According to histogram.h, minimum should be 1. Values less than minimum
     // end up in the 0th bucket.
     min: 1,
     max: histogram_max,
     // The # of buckets should include 1 for underflow.
     buckets: histogram_max + 1
   };
 
   chrome.metricsPrivate.recordValue(metricDescription, state -
       remoting.ClientSession.State.MIN_STATE_ENUM);
@@ skipping 100 matching lines @@
   } else if (previous == State.CONNECTED && current == State.FAILED) {
     return State.CONNECTION_DROPPED;
   }
   return current;
 };
 
 /** @private */
 remoting.ClientSession.prototype.reportStatistics = function() {
   this.logger_.logStatistics(this.plugin_.getPerfStats());
 };