diff --git a/add_trailing_comma.py b/add_trailing_comma.py
index d8f1939..9ef7e2f 100644
--- a/add_trailing_comma.py
+++ b/add_trailing_comma.py
@@ -64,16 +64,12 @@ class FindNodes(ast.NodeVisitor):
         self.literals = {}
         self.has_new_syntax = False
 
-    def _visit_literal(self, node, key='elts', is_multiline=False, **kwargs):
-        orig = node.lineno
-
+    def _visit_literal(self, node, key='elts', **kwargs):
         for elt in getattr(node, key):
-            if elt.lineno > orig:
-                is_multiline = True
             if _is_star_arg(elt):  # pragma: no cover (PY35+)
                 self.has_new_syntax = True
 
-        if is_multiline:
+        if getattr(node, key):
             key = Offset(node.lineno, node.col_offset)
             self.literals[key] = Literal(node, **kwargs)
             self.generic_visit(node)
@@ -87,13 +83,10 @@ class FindNodes(ast.NodeVisitor):
         self._visit_literal(node, key='values')
 
     def visit_Tuple(self, node):
-        # tuples lie about things, so we pretend they are all multiline
-        # and tell the later machinery to backtrack
-        self._visit_literal(node, is_multiline=True, backtrack=True)
+        # tuples lie about things so we tell the later machiner to backtrack
+        self._visit_literal(node, backtrack=True)
 
     def visit_Call(self, node):
-        orig = node.lineno
-
         argnodes = node.args + node.keywords
         py2_starargs = getattr(node, 'starargs', None)
         if py2_starargs:  # pragma: no cover (<PY35)
@@ -103,7 +96,6 @@ class FindNodes(ast.NodeVisitor):
             argnodes.append(py2_kwargs)
 
         arg_offsets = set()
-        is_multiline = False
         has_starargs = bool(py2_starargs or py2_kwargs)
         for argnode in argnodes:
             if (
@@ -115,8 +107,6 @@ class FindNodes(ast.NodeVisitor):
             offset = _to_offset(argnode)
             # multiline strings have invalid position, ignore them
             if offset.utf8_byte_offset != -1:  # pragma: no branch (cpy bug)
-                if offset.line > orig:
-                    is_multiline = True
                 arg_offsets.add(offset)
 
         # If the sole argument is a generator, don't add a trailing comma as
@@ -125,7 +115,7 @@ class FindNodes(ast.NodeVisitor):
             len(argnodes) == 1 and isinstance(argnodes[0], ast.GeneratorExp)
         )
 
-        if is_multiline and not only_a_generator:
+        if arg_offsets and not only_a_generator:
             key = Offset(node.lineno, node.col_offset)
             self.calls[key] = Call(node, has_starargs, arg_offsets)
 
@@ -144,16 +134,12 @@ class FindNodes(ast.NodeVisitor):
             getattr(node.args, 'kwonlyargs', None)
         )
 
-        orig = node.lineno
-        is_multiline = False
         offsets = set()
         for argnode in node.args.args:
             offset = _to_offset(argnode)
-            if offset.line > orig:
-                is_multiline = True
             offsets.add(offset)
 
-        if is_multiline and not has_starargs:
+        if offsets and not has_starargs:
             key = Offset(node.lineno, node.col_offset)
             self.funcs[key] = Func(node, offsets)
 
@@ -181,7 +167,7 @@ def _find_simple(first_brace, tokens):
 
     last_brace = i
 
-    # This was not actually a multi-line call, despite the ast telling us that
+    # Check if we're actually multi-line
     if tokens[first_brace].line == tokens[last_brace].line:
         return
 

diff --git a/tests/add_trailing_comma_test.py b/tests/add_trailing_comma_test.py
index 01ee421..450e3a0 100644
--- a/tests/add_trailing_comma_test.py
+++ b/tests/add_trailing_comma_test.py
@@ -257,6 +257,7 @@ def test_noop_tuple_literal_without_braces():
 @pytest.mark.parametrize(
     'src',
     (
+        'def f(): pass',
         'def f(arg1, arg2): pass',
         'def f(\n'
         '        arg1,\n'
@@ -354,6 +355,22 @@ def test_noop_unhugs(src):
             '    c,\n'
             ')',
         ),
+        (
+            'def f(\n'
+            '    *args): pass',
+
+            'def f(\n'
+            '    *args\n'
+            '): pass',
+        ),
+        (
+            'def f(\n'
+            '    **kwargs): pass',
+
+            'def f(\n'
+            '    **kwargs\n'
+            '): pass',
+        ),
         # if there's already a trailing comma, don't add a new one
         (
             'f(\n'
@@ -493,6 +510,16 @@ def test_noop_unhugs(src):
             '    ),\n'
             ')',
         ),
+        # Regression test for #16
+        (
+            'x("foo"\n'
+            '  "bar")',
+
+            'x(\n'
+            '    "foo"\n'
+            '    "bar",\n'
+            ')',
+        ),
     ),
 )
 def test_fix_unhugs(src, expected):
@@ -503,23 +530,6 @@ def test_fix_unhugs(src, expected):
 @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'

Two iterations are required to resolve func(multi line string literal)
### input

```python
f('long'
  'literal')
```

### output 1

```python
f(
    'long'
    'literal'
)
```

### output 2

```python
f(
    'long'
    'literal',
)
```

This _should_ resolve in a single pass
tests/add_trailing_comma_test.py::test_fix_unhugs[x("foo", tests/add_trailing_comma_test.py::test_fix_unhugs[x("foo"\n
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_noop_unhugs[textwrap.dedent("""\n tests/add_trailing_comma_test.py::test_fix_unhugs[f(\n tests/add_trailing_comma_test.py::test_fix_unhugs[f(a,\n tests/add_trailing_comma_test.py::test_fix_unhugs[def 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_fix_unhugs[{"foo": tests/add_trailing_comma_test.py::test_fix_unhugs_py3_only[def tests/add_trailing_comma_test.py::test_noop_trailing_brace[[]] tests/add_trailing_comma_test.py::test_noop_trailing_brace[x tests/add_trailing_comma_test.py::test_noop_trailing_brace[y tests/add_trailing_comma_test.py::test_noop_trailing_brace[foo.\\\n tests/add_trailing_comma_test.py::test_fix_trailing_brace[x 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