[CrOS Settings] Record page Search User action metrics.

This CL records user action focus when the user creates a query that
is used to generate search results.

Bug: 1049830
Change-Id: I88e709ec0f40c7e19cf943a122d3bc4f53590b03
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2062640Reviewed-by: Kyle Horimoto <khorimoto@chromium.org>
Commit-Queue: Regan Hsu <hsuregan@chromium.org>
Cr-Commit-Position: refs/heads/master@{#742937}

chrome/browser/resources/settings/chromeos/os_settings_ui/os_settings_ui.js

@@ -268,6 +268,7 @@ Polymer({
       searchField.setValue(urlSearchQuery, true /* noEvent */);
     }
 
+    settings.recordSearch();
     this.$.main.searchContents(urlSearchQuery);
   },
 

chrome/test/data/webui/settings/chromeos/os_settings_ui_browsertest.js

@@ -270,6 +270,16 @@ TEST_F('OSSettingsUIBrowserTest', 'AllJsTests', () => {
       ui.$$('#prefs').fire('user-action-setting-change');
       assertEquals(userActionRecorder.settingChangeCount, 1);
     });
+
+    test('userActionSearchEvent', function() {
+      const searchField =
+          /** @type {CrToolbarSearchFieldElement} */ (
+              ui.$$('os-toolbar').getSearchField());
+
+      assertEquals(userActionRecorder.searchCount, 0);
+      searchField.setValue('GOOGLE');
+      assertEquals(userActionRecorder.searchCount, 1);
+    });
   });
 
   mocha.run();