Reorganize api_tests directory.

This reapplies 34794 and 34779 with one additional fix,
which were reverted by 34798.

[email protected]
BUG=30507

git-svn-id: svn://svn.chromium.org/chrome/trunk/src@34862 0039d316-1c4b-4281-b951-d872f2087c98
104 files changed