diff --git a/add_trailing_comma.py b/add_trailing_comma.py
index 49e98c7..bd16709 100644
--- a/add_trailing_comma.py
+++ b/add_trailing_comma.py
@@ -15,9 +15,10 @@ from tokenize_rt import UNIMPORTANT_WS
 
 Offset = collections.namedtuple('Offset', ('line', 'utf8_byte_offset'))
 Call = collections.namedtuple('Call', ('node', 'star_args', 'arg_offsets'))
-Func = collections.namedtuple('Func', ('node', 'arg_offsets'))
+Func = collections.namedtuple('Func', ('node', 'star_args', 'arg_offsets'))
 Literal = collections.namedtuple('Literal', ('node', 'braces', 'backtrack'))
 Literal.__new__.__defaults__ = (False,)
+Fix = collections.namedtuple('Fix', ('braces', 'initial_indent'))
 
 NEWLINES = frozenset(('NEWLINE', 'NL'))
 NON_CODING_TOKENS = frozenset(('COMMENT', 'NL', UNIMPORTANT_WS))
@@ -141,28 +142,39 @@ class FindNodes(ast.NodeVisitor):
         self.generic_visit(node)
 
     def visit_FunctionDef(self, node):
-        has_starargs = (
-            node.args.vararg or node.args.kwarg or
-            # python 3 only
-            getattr(node.args, 'kwonlyargs', None)
-        )
+        has_starargs = False
+        args = list(node.args.args)
+
+        if node.args.vararg:
+            if isinstance(node.args.vararg, ast.AST):  # pragma: no cover (py3)
+                args.append(node.args.vararg)
+            has_starargs = True
+        if node.args.kwarg:
+            if isinstance(node.args.kwarg, ast.AST):  # pragma: no cover (py3)
+                args.append(node.args.kwarg)
+            has_starargs = True
+        py3_kwonlyargs = getattr(node.args, 'kwonlyargs', None)
+        if py3_kwonlyargs:  # pragma: no cover (py3)
+            args.extend(py3_kwonlyargs)
+            has_starargs = True
+
         orig = node.lineno
         is_multiline = False
         offsets = set()
-        for argnode in node.args.args:
+        for argnode in args:
             offset = _to_offset(argnode)
             if offset.line > orig:
                 is_multiline = True
             offsets.add(offset)
 
-        if is_multiline and not has_starargs:
+        if is_multiline:
             key = Offset(node.lineno, node.col_offset)
-            self.funcs[key] = Func(node, offsets)
+            self.funcs[key] = Func(node, has_starargs, offsets)
 
         self.generic_visit(node)
 
 
-def _fix_inner(brace_start, brace_end, first_brace, tokens):
+def _find_simple(brace_start, brace_end, first_brace, tokens):
     brace_stack = [first_brace]
 
     for i in range(first_brace + 1, len(tokens)):
@@ -183,12 +195,6 @@ def _fix_inner(brace_start, brace_end, first_brace, tokens):
     if tokens[first_brace].line == tokens[last_brace].line:
         return
 
-    # Figure out if either of the braces are "hugging"
-    hug_open = tokens[first_brace + 1].name not in NON_CODING_TOKENS
-    hug_close = tokens[last_brace - 1].name not in NON_CODING_TOKENS
-    if hug_open and tokens[last_brace - 1].src in END_BRACES:
-        hug_open = hug_close = False
-
     # determine the initial indentation
     i = first_brace
     while i >= 0 and tokens[i].name not in NEWLINES:
@@ -199,51 +205,10 @@ def _fix_inner(brace_start, brace_end, first_brace, tokens):
     else:
         initial_indent = 0
 
-    # fix open hugging
-    if hug_open:
-        new_indent = initial_indent + 4
-
-        tokens[first_brace + 1:first_brace + 1] = [
-            Token('NL', '\n'), Token(UNIMPORTANT_WS, ' ' * new_indent),
-        ]
-        last_brace += 2
-
-        # Adust indentation for the rest of the things
-        min_indent = None
-        indents = []
-        for i in range(first_brace + 3, last_brace):
-            if tokens[i - 1].name == 'NL' and tokens[i].name == UNIMPORTANT_WS:
-                if min_indent is None:
-                    min_indent = len(tokens[i].src)
-                elif len(tokens[i].src) < min_indent:
-                    min_indent = len(tokens[i].src)
-
-                indents.append(i)
+    return Fix(braces=(first_brace, last_brace), initial_indent=initial_indent)
 
-        for i in indents:
-            oldlen = len(tokens[i].src)
-            newlen = oldlen - min_indent + new_indent
-            tokens[i] = tokens[i]._replace(src=' ' * newlen)
 
-    # fix close hugging
-    if hug_close:
-        tokens[last_brace:last_brace] = [
-            Token('NL', '\n'),
-            Token(UNIMPORTANT_WS, ' ' * initial_indent),
-        ]
-        last_brace += 2
-
-    # From there, we can walk backwards and decide whether a comma is needed
-    i = last_brace - 1
-    while tokens[i].name in NON_CODING_TOKENS:
-        i -= 1
-
-    # If we're not a hugging paren, we can insert a comma
-    if tokens[i].src != ',' and i + 1 != last_brace:
-        tokens.insert(i + 1, Token('OP', ','))
-
-
-def _fix_call(call, i, tokens):
+def _find_call(call, i, tokens):
     # When we get a `call` object, the ast refers to it as this:
     #
     #     func_name(arg, arg, arg)
@@ -273,10 +238,10 @@ def _fix_call(call, i, tokens):
     else:
         raise AssertionError('Past end?')
 
-    _fix_inner(brace_start, brace_end, first_brace, tokens)
+    return _find_simple(brace_start, brace_end, first_brace, tokens)
 
 
-def _fix_literal(literal, i, tokens):
+def _find_literal(literal, i, tokens):
     brace_start, brace_end = literal.braces
 
     # tuples are evil, we need to backtrack to find the opening paren
@@ -289,7 +254,60 @@ def _fix_literal(literal, i, tokens):
         if tokens[i].src != brace_start:
             return
 
-    _fix_inner(brace_start, brace_end, i, tokens)
+    return _find_simple(brace_start, brace_end, i, tokens)
+
+
+def _fix_comma_and_unhug(fix_data, add_comma, tokens):
+    first_brace, last_brace = fix_data.braces
+
+    # Figure out if either of the braces are "hugging"
+    hug_open = tokens[first_brace + 1].name not in NON_CODING_TOKENS
+    hug_close = tokens[last_brace - 1].name not in NON_CODING_TOKENS
+    if hug_open and tokens[last_brace - 1].src in END_BRACES:
+        hug_open = hug_close = False
+
+    # fix open hugging
+    if hug_open:
+        new_indent = fix_data.initial_indent + 4
+
+        tokens[first_brace + 1:first_brace + 1] = [
+            Token('NL', '\n'), Token(UNIMPORTANT_WS, ' ' * new_indent),
+        ]
+        last_brace += 2
+
+        # Adust indentation for the rest of the things
+        min_indent = None
+        indents = []
+        for i in range(first_brace + 3, last_brace):
+            if tokens[i - 1].name == 'NL' and tokens[i].name == UNIMPORTANT_WS:
+                if min_indent is None:
+                    min_indent = len(tokens[i].src)
+                elif len(tokens[i].src) < min_indent:
+                    min_indent = len(tokens[i].src)
+
+                indents.append(i)
+
+        for i in indents:
+            oldlen = len(tokens[i].src)
+            newlen = oldlen - min_indent + new_indent
+            tokens[i] = tokens[i]._replace(src=' ' * newlen)
+
+    # fix close hugging
+    if hug_close:
+        tokens[last_brace:last_brace] = [
+            Token('NL', '\n'),
+            Token(UNIMPORTANT_WS, ' ' * fix_data.initial_indent),
+        ]
+        last_brace += 2
+
+    # From there, we can walk backwards and decide whether a comma is needed
+    i = last_brace - 1
+    while tokens[i].name in NON_CODING_TOKENS:
+        i -= 1
+
+    # If we're not a hugging paren, we can insert a comma
+    if add_comma and tokens[i].src != ',' and i + 1 != last_brace:
+        tokens.insert(i + 1, Token('OP', ','))
 
 
 def _fix_src(contents_text, py35_plus):
@@ -305,16 +323,25 @@ def _fix_src(contents_text, py35_plus):
     tokens = src_to_tokens(contents_text)
     for i, token in reversed(tuple(enumerate(tokens))):
         key = Offset(token.line, token.utf8_byte_offset)
+        add_comma = True
+        fix_data = None
+
         if key in visitor.calls:
             call = visitor.calls[key]
             # Only fix stararg calls if asked to
-            if not call.star_args or py35_plus:
-                _fix_call(call, i, tokens)
-        elif key in visitor.literals:
-            _fix_literal(visitor.literals[key], i, tokens)
+            add_comma = not call.star_args or py35_plus
+            fix_data = _find_call(call, i, tokens)
         elif key in visitor.funcs:
+            func = visitor.funcs[key]
+            # any amount of starargs excludes adding a comma for defs
+            add_comma = not func.star_args
             # functions can be treated as calls
-            _fix_call(visitor.funcs[key], i, tokens)
+            fix_data = _find_call(func, i, tokens)
+        elif key in visitor.literals:
+            fix_data = _find_literal(visitor.literals[key], i, tokens)
+
+        if fix_data is not None:
+            _fix_comma_and_unhug(fix_data, add_comma, tokens)
 
     return tokens_to_src(tokens)
 

diff --git a/tests/add_trailing_comma_test.py b/tests/add_trailing_comma_test.py
index 810b741..c016b12 100644
--- a/tests/add_trailing_comma_test.py
+++ b/tests/add_trailing_comma_test.py
@@ -11,6 +11,7 @@ from add_trailing_comma import _fix_src
 from add_trailing_comma import main
 
 
+xfailif_py2 = pytest.mark.xfail(sys.version_info < (3,), reason='py3+')
 xfailif_lt_py35 = pytest.mark.xfail(sys.version_info < (3, 5), reason='py35+')
 
 
@@ -264,7 +265,7 @@ def test_noop_tuple_literal_without_braces():
         # *args forbid trailing commas
         'def f(\n'
         '        *args\n'
-        '): pass'
+        '): pass',
         # **kwargs forbid trailing commas
         'def f(\n'
         '        **kwargs\n'
@@ -415,12 +416,56 @@ def test_noop_unhugs(src):
             '    1,\n'
             ')',
         ),
+        (
+            'f(\n'
+            '    *args)',
+
+            'f(\n'
+            '    *args\n'
+            ')',
+        ),
     ),
 )
 def test_fix_unhugs(src, expected):
     assert _fix_src(src, py35_plus=False) == expected
 
 
+@xfailif_py2
+@pytest.mark.parametrize(
+    ('src', 'expected'),
+    (
+        # python 2 doesn't give offset information for starargs
+        (
+            'def f(\n'
+            '    *args): pass',
+
+            'def f(\n'
+            '    *args\n'
+            '): pass',
+        ),
+        (
+            'def f(\n'
+            '    **kwargs): pass',
+
+            'def f(\n'
+            '    **kwargs\n'
+            '): pass',
+        ),
+        # python 2 doesn't kwonlyargs
+        (
+            'def f(\n'
+            '    *, kw=1, kw2=2): pass',
+
+            'def f(\n'
+            '    *, kw=1, kw2=2\n'
+            '): pass',
+        ),
+    ),
+)
+def test_fix_unhugs_py3_only(src, expected):
+    assert _fix_src(src, py35_plus=False) == expected
+
+
 def test_main_trivial():
     assert main(()) == 0
 

microbug: `def f(*args):` and `f(*args)`  are not unhugged
### minimal example

```python
def f(
    *args): pass

f(
    *args)
```

### expected

```python
def f(
    *args
): pass

f(
    *args
)
```

### actual

no change

### explain

these two types are pruned during the trailing comma determination, but should still apply unhugging
tests/add_trailing_comma_test.py::test_fix_unhugs[f(\n tests/add_trailing_comma_test.py::test_fix_unhugs_py3_only[def
tests/add_trailing_comma_test.py::test_fix_calls_noops[x tests/add_trailing_comma_test.py::test_fix_calls_noops[x(1)] tests/add_trailing_comma_test.py::test_fix_calls_noops[tuple(\n tests/add_trailing_comma_test.py::test_fix_calls_noops[x(\n tests/add_trailing_comma_test.py::test_fix_calls_noops[x((\n tests/add_trailing_comma_test.py::test_fix_calls_noops[(\n tests/add_trailing_comma_test.py::test_py35_plus_rewrite tests/add_trailing_comma_test.py::test_auto_detected_py35_plus_rewrite[(1, tests/add_trailing_comma_test.py::test_auto_detected_py35_plus_rewrite[[1, tests/add_trailing_comma_test.py::test_auto_detected_py35_plus_rewrite[{1, tests/add_trailing_comma_test.py::test_auto_detected_py35_plus_rewrite[{1: tests/add_trailing_comma_test.py::test_auto_detected_py35_plus_rewrite[y(*args1, tests/add_trailing_comma_test.py::test_auto_detected_py35_plus_rewrite[y(**kwargs1, tests/add_trailing_comma_test.py::test_fixes_calls[x(\n tests/add_trailing_comma_test.py::test_fixes_calls[foo()(\n tests/add_trailing_comma_test.py::test_noop_one_line_literals[(1, tests/add_trailing_comma_test.py::test_noop_one_line_literals[[1, tests/add_trailing_comma_test.py::test_noop_one_line_literals[{1, tests/add_trailing_comma_test.py::test_noop_one_line_literals[{1: tests/add_trailing_comma_test.py::test_noop_tuple_literal_without_braces tests/add_trailing_comma_test.py::test_noop_function_defs[def tests/add_trailing_comma_test.py::test_fixes_defs[def tests/add_trailing_comma_test.py::test_noop_unhugs[f(x, tests/add_trailing_comma_test.py::test_noop_unhugs[f(\n tests/add_trailing_comma_test.py::test_noop_unhugs[f((\n tests/add_trailing_comma_test.py::test_noop_unhugs[f([\n tests/add_trailing_comma_test.py::test_fix_unhugs[f(a,\n tests/add_trailing_comma_test.py::test_fix_unhugs[with tests/add_trailing_comma_test.py::test_fix_unhugs[if tests/add_trailing_comma_test.py::test_fix_unhugs[{'foo': tests/add_trailing_comma_test.py::test_fix_unhugs[f(g(\n tests/add_trailing_comma_test.py::test_main_trivial tests/add_trailing_comma_test.py::test_main_noop tests/add_trailing_comma_test.py::test_main_changes_a_file tests/add_trailing_comma_test.py::test_main_syntax_error tests/add_trailing_comma_test.py::test_main_non_utf8_bytes tests/add_trailing_comma_test.py::test_main_py35_plus_argument_star_args tests/add_trailing_comma_test.py::test_main_py35_plus_argument_star_star_kwargs