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#14019 has a patch, unrelated to the issue, that adds test.test_formatter. There still is no such file, so I open this issue to move the patch here. It is the second version, responding to review by Ezio Melotti.
But formatter has been deprecated since 3.4. It was originally scheduled to be removed in 3.6, but we decided to delay such removals until after 2.7 EOL. That is now past. Do we add tests for a deprecated module? If so, the patch, aDo we still want to remove formatter? If so, when?

The patch is by Francisco Freire (francisco.freire) * (CLA signed). There is apparently no way to directly move a patch from one issue to another, so I download and upload.

> If so, the patch, aDo we still want to remove formatted
IMHO, 3.10 is a good time to remove formatter

The formatter has been deprecated for a long time. It's been issuing a DeprecationWarning on import since 3.5. Let's remove it.

@christian.heimes
Thank you Christian
I also discuss this issue on python-dev and everybody agree with removing this module.
I will remove this module ;)

This was proposed earlier : https://bugs.python.org/issue39352 

I took a look at the module and its doc. It is based on a 1980s model of document processing that has been somewhat superseded by html, xml, and pdf. The module itself has been pretty well superseded by stdlib and external moudles. IDLE, for instance, displays idle.html in a tkinter Text widget about 160 lines by subclassing htmlparser. 
One obsolescent 'feature' is that fonts are defined by (size, italic, bold, teletype), where 'teletype' is a bool of undefined meaning. There is no way I saw to designate a font family like 'Source Code Pro' or 'Monaco'.
Since the module is unmaintained and frozen, anyone importing it can incorporate whatever class code they need.

New changeset be319c0c108e308fb7ed6ec9522e969fdffd1253 by Dong-hee Na in branch 'master':
bpo-42299: Remove formatter module (GH-23476)
https://github.com/python/cpython/commit/be319c0c108e308fb7ed6ec9522e969fdffd1253

@terry.reedy @vstinner
Thank you, Terry and Victor, and goodbye formatter module!

Thread on python-dev:
https://mail.python.org/archives/list/python-dev@python.org/thread/ZEDIBBYCWI34GVOXDEUYXQY3LYXOFHA2/
Copy of Fred Drake's email:
"Oh, the memories! Looking at docs, I can vaguely recall using the
API, but... it definitely doesn't belong in the stdlib. -Fred"

A coda on my 'obsolete and superseded' claim: text formatting events have 2 sources -- the text being displayed and user actions while reading. formatter somewhat mixes these together.
html.parser.HTMLParser generates events from the text in the form of calls to handle_xyz methods, where 'xyy is most commonly 'starttag', 'data', 'endtag'. HTMLPareser subclasses replace the default 'pass' implementations. So the idea is similar to formatter.NullFormatter. IDLE uses the tkinter Text widget as the writer instance for its HTMLParser subclass. Responses to events may depend on user settings, which may be changed by user events.
For a GUI app, user events are handled by the GUI framework and may or mayy not require user coding to handle.

I am confused. Why is this still online when the source was removed?
https://docs.python.org/3.10/library/formatter.html 

https://docs.python.org/3.10/library/index.html no longer links to https://docs.python.org/3.10/library/misc.html but misc.html and formatter.html are still there. It looks like a bug in the build and update process. I bet it's not removing files.
Ee, could you take a look, please?

Issues relating to documentation build likely need to be looked at and addressed by Julien. If it does end up being an infra issue, feel free to read me to nosy.