def METHOD_NAME(self, method, url, fields=None, headers=None,
                        encode_multipart=True, multipart_boundary=None,
                        **urlopen_kw):
    """
    Make a request using :meth:`urlopen` with the ``fields`` encoded in
    the body. This is useful for request methods like POST, PUT, PATCH, etc.
    When ``encode_multipart=True`` (default), then
    :meth:`urllib3.filepost.encode_multipart_formdata` is used to encode
    the payload with the appropriate content type. Otherwise
    :meth:`urllib.urlencode` is used with the
    'application/x-www-form-urlencoded' content type.
    Multipart encoding must be used when posting files, and it's reasonably
    safe to use it in other times too. However, it may break request
    signing, such as with OAuth.
    Supports an optional ``fields`` parameter of key/value strings AND
    key/filetuple. A filetuple is a (filename, data, MIME type) tuple where
    the MIME type is optional. For example::
        fields = {
            'foo': 'bar',
            'fakefile': ('foofile.txt', 'contents of foofile'),
            'realfile': ('barfile.txt', open('realfile').read()),
            'typedfile': ('bazfile.bin', open('bazfile').read(),
                          'image/jpeg'),
            'nonamefile': 'contents of nonamefile field',
        }
    When uploading a file, providing a filename (the first parameter of the
    tuple) is optional but recommended to best mimick behavior of browsers.
    Note that if ``headers`` are supplied, the 'Content-Type' header will
    be overwritten because it depends on the dynamic random boundary string
    which is used to compose the body of the request. The random boundary
    string can be explicitly set with the ``multipart_boundary`` parameter.
    """
    if headers is None:
        headers = self.headers
    extra_kw = {'headers': {}}
    if fields:
        if 'body' in urlopen_kw:
            raise TypeError(
                "request got values for both 'fields' and 'body', can only specify one.")
        if encode_multipart:
            body, content_type = encode_multipart_formdata(fields, boundary=multipart_boundary)
        else:
            body, content_type = urlencode(fields), 'application/x-www-form-urlencoded'
        extra_kw['body'] = body
        extra_kw['headers'] = {'Content-Type': content_type}
    extra_kw['headers'].update(headers)
    extra_kw.update(urlopen_kw)
    return self.urlopen(method, url, **extra_kw)