This reverts commit 6ef80b44.

This is the continuation of https://github.com/flutter/engine/pull/11041 and https://github.com/flutter/flutter/pull/38574

This is not a breaking change as we're not removing `onReportTimings` API.
We're simply removing the use of it in our framework.

Filed: https://github.com/flutter/flutter/issues/38838
to track these usages.

This was introduced by: https://github.com/flutter/engine/pull/11041

Revert "Revert "redux of a change to use new engine APIs for Flutter.Frame events (#34365)" (#34514)" (#34530)

This reverts commit 8f75d537.

This reverts commit ceb09b8b.

This reverts commit 446179f6.

* update the Flutter.Frame event to use new engine APIs

* add a test

* update test

This reverts commit ab707aca.

Revert "Add currentSystemFrameTimeStamp to SchedulerBinding (#33886)"

This reverts commit 61b83d32.

Convert scheduling to use `scheduleMicrotask` instead of `Timer.run`

* enable lint unnecessary_new

* fix tests

* fix tests

* fix tests

* Upgrade everything except matcher.
* Roll matcher (and test)
* Adjust tests that depend on flutter:test directly to depend on a shim
* Require use of package:test shim and remove other references to package:test

* Lock events during runApp's warm up frame

* move to scheduler binding

* let the one scheduleWarmUpFrame api always lock

* tweak test

* Add more checks to scheduleWarmUpFrame

* review

* add test

...instead of the engine.

* enable lint prefer_foreach

* fix tests

The old names were getting silly and started stepping on valuable namespace.

The new names are consistent and clear.

We're getting back to the point where we have a bunch of foundation APIs
and it's getting confusing having them mixed with services/.

This test is no longer disabled.

Fixes #2827

Well, all the easy ones, anyway.

For some reason `// ignore:` isn't working for me so I've disabled
lints that need that. Also disabled those that require a ton of work
(which I'm doing, but not in this PR, to keep it reviewable).

This adds:
- avoid_init_to_null
- library_names
- package_api_docs
- package_names
- package_prefixed_library_names
- prefer_is_not_empty
- sort_constructors_first
- sort_unnamed_constructors_first
- unnecessary_getters_setters

This is a workaround for:
   https://github.com/dart-lang/sdk/issues/25246

The names are probably less familiar, but more consistent:
- FrameCallback: a callback that is relative to the frame and wants the
  frame offset (a duration) as argument.
- addXFrameCallback: adds the given callback to the internal lists/maps.
- scheduleXFrameCallback (currently only X = ""): add the callback, but
  also trigger a new frame.
- handleX: the method that is invoked when the event-loop or the frame
  calls into the scheduler.
- ensureXYZ: ensure that the callback happens.
  Unfortunately there is the ambiguity between a "callback": it can be a
  closure, or the action of doing a callback, so we end up with:
  ensureBeginFrameCallback, and ensureEventLoopCallback, where
  "callback" means the action of being called back.

The current implementation is still pretty rudimentary.