diff --git a/Lib/lib2to3/fixer_util.py b/Lib/lib2to3/fixer_util.py
index d19635fda6c..fefa61239d2 100644
--- a/Lib/lib2to3/fixer_util.py
+++ b/Lib/lib2to3/fixer_util.py
@@ -222,6 +222,29 @@ def in_special_context(node):
             return True
     return False
 
+def is_probably_builtin(node):
+    """
+    Check that something isn't an attribute or function name etc.
+    """
+    prev = node.get_prev_sibling()
+    if prev is not None and prev.type == token.DOT:
+        # Attribute lookup.
+        return False
+    parent = node.parent
+    if parent.type in (syms.funcdef, syms.classdef):
+        return False
+    if parent.type == syms.expr_stmt and parent.children[0] is node:
+        # Assignment.
+        return False
+    if parent.type == syms.parameters or \
+            (parent.type == syms.typedargslist and (
+            (prev is not None and prev.type == token.COMMA) or
+            parent.children[0] is node
+            )):
+        # The name of an argument.
+        return False
+    return True
+
 ###########################################################
 ### The following functions are to find bindings in a suite
 ###########################################################
diff --git a/Lib/lib2to3/fixes/fix_execfile.py b/Lib/lib2to3/fixes/fix_execfile.py
index 5854900d2fa..f7a7a700147 100644
--- a/Lib/lib2to3/fixes/fix_execfile.py
+++ b/Lib/lib2to3/fixes/fix_execfile.py
@@ -7,9 +7,9 @@ This converts usages of the execfile function into calls to the built-in
 exec() function.
 """
 
-from .. import pytree
 from .. import fixer_base
-from ..fixer_util import Comma, Name, Call, LParen, RParen, Dot
+from ..fixer_util import (Comma, Name, Call, LParen, RParen, Dot, Node,
+                          ArgList, String, syms)
 
 
 class FixExecfile(fixer_base.BaseFix):
@@ -22,16 +22,30 @@ class FixExecfile(fixer_base.BaseFix):
 
     def transform(self, node, results):
         assert results
-        syms = self.syms
         filename = results["filename"]
         globals = results.get("globals")
         locals = results.get("locals")
-        args = [Name('open'), LParen(), filename.clone(), RParen(), Dot(),
-                Name('read'), LParen(), RParen()]
-        args[0].set_prefix("")
+
+        # Copy over the prefix from the right parentheses end of the execfile
+        # call.
+        execfile_paren = node.children[-1].children[-1].clone()
+        # Construct open().read().
+        open_args = ArgList([filename.clone()], rparen=execfile_paren)
+        open_call = Node(syms.power, [Name("open"), open_args])
+        read = [Node(syms.trailer, [Dot(), Name('read')]),
+                Node(syms.trailer, [LParen(), RParen()])]
+        open_expr = [open_call] + read
+        # Wrap the open call in a compile call. This is so the filename will be
+        # preserved in the execed code.
+        filename_arg = filename.clone()
+        filename_arg.set_prefix(" ")
+        exec_str = String("'exec'", " ")
+        compile_args = open_expr + [Comma(), filename_arg, Comma(), exec_str]
+        compile_call = Call(Name("compile"), compile_args, "")
+        # Finally, replace the execfile call with an exec call.
+        args = [compile_call]
         if globals is not None:
             args.extend([Comma(), globals.clone()])
         if locals is not None:
             args.extend([Comma(), locals.clone()])
-
         return Call(Name("exec"), args, prefix=node.get_prefix())
diff --git a/Lib/lib2to3/fixes/fix_import.py b/Lib/lib2to3/fixes/fix_import.py
index c065f705440..4c751337dc4 100644
--- a/Lib/lib2to3/fixes/fix_import.py
+++ b/Lib/lib2to3/fixes/fix_import.py
@@ -13,55 +13,78 @@ Becomes:
 # Local imports
 from .. import fixer_base
 from os.path import dirname, join, exists, pathsep
-from ..fixer_util import FromImport, syms
+from ..fixer_util import FromImport, syms, token
+
+
+def traverse_imports(names):
+    """
+    Walks over all the names imported in a dotted_as_names node.
+    """
+    pending = [names]
+    while pending:
+        node = pending.pop()
+        if node.type == token.NAME:
+            yield node.value
+        elif node.type == syms.dotted_name:
+            yield "".join([ch.value for ch in node.children])
+        elif node.type == syms.dotted_as_name:
+            pending.append(node.children[0])
+        elif node.type == syms.dotted_as_names:
+            pending.extend(node.children[::-2])
+        else:
+            raise AssertionError("unkown node type")
+
 
 class FixImport(fixer_base.BaseFix):
 
     PATTERN = """
-    import_from< type='from' imp=any 'import' ['('] any [')'] >
+    import_from< 'from' imp=any 'import' ['('] any [')'] >
     |
-    import_name< type='import' imp=any >
+    import_name< 'import' imp=any >
     """
 
     def transform(self, node, results):
         imp = results['imp']
 
-        mod_name = str(imp.children[0] if imp.type == syms.dotted_as_name \
-                               else imp)
-
-        if str(imp).startswith('.'):
-            # Already a new-style import
-            return
-
-        if not probably_a_local_import(str(mod_name), self.filename):
-            # I guess this is a global import -- skip it!
-            return
-
-        if results['type'].value == 'from':
+        if node.type == syms.import_from:
             # Some imps are top-level (eg: 'import ham')
             # some are first level (eg: 'import ham.eggs')
             # some are third level (eg: 'import ham.eggs as spam')
             # Hence, the loop
             while not hasattr(imp, 'value'):
                 imp = imp.children[0]
-            imp.value = "." + imp.value
-            node.changed()
+            if self.probably_a_local_import(imp.value):
+                imp.value = "." + imp.value
+                imp.changed()
+                return node
         else:
-            new = FromImport('.', getattr(imp, 'content', None) or [imp])
-            new.set_prefix(node.get_prefix())
-            node = new
-        return node
+            have_local = False
+            have_absolute = False
+            for mod_name in traverse_imports(imp):
+                if self.probably_a_local_import(mod_name):
+                    have_local = True
+                else:
+                    have_absolute = True
+            if have_absolute:
+                if have_local:
+                    # We won't handle both sibling and absolute imports in the
+                    # same statement at the moment.
+                    self.warning(node, "absolute and local imports together")
+                return
 
-def probably_a_local_import(imp_name, file_path):
-    # Must be stripped because the right space is included by the parser
-    imp_name = imp_name.split('.', 1)[0].strip()
-    base_path = dirname(file_path)
-    base_path = join(base_path, imp_name)
-    # If there is no __init__.py next to the file its not in a package
-    # so can't be a relative import.
-    if not exists(join(dirname(base_path), '__init__.py')):
+            new = FromImport('.', [imp])
+            new.set_prefix(node.get_prefix())
+            return new
+
+    def probably_a_local_import(self, imp_name):
+        imp_name = imp_name.split('.', 1)[0]
+        base_path = dirname(self.filename)
+        base_path = join(base_path, imp_name)
+        # If there is no __init__.py next to the file its not in a package
+        # so can't be a relative import.
+        if not exists(join(dirname(base_path), '__init__.py')):
+            return False
+        for ext in ['.py', pathsep, '.pyc', '.so', '.sl', '.pyd']:
+            if exists(base_path + ext):
+                return True
         return False
-    for ext in ['.py', pathsep, '.pyc', '.so', '.sl', '.pyd']:
-        if exists(base_path + ext):
-            return True
-    return False
diff --git a/Lib/lib2to3/fixes/fix_imports.py b/Lib/lib2to3/fixes/fix_imports.py
index 75770c915f9..98d440698c8 100644
--- a/Lib/lib2to3/fixes/fix_imports.py
+++ b/Lib/lib2to3/fixes/fix_imports.py
@@ -118,7 +118,7 @@ class FixImports(fixer_base.BaseFix):
     def transform(self, node, results):
         import_mod = results.get("module_name")
         if import_mod:
-            new_name = self.mapping[(import_mod or mod_name).value]
+            new_name = self.mapping[import_mod.value]
             import_mod.replace(Name(new_name, prefix=import_mod.get_prefix()))
             if "name_import" in results:
                 # If it's not a "from x import x, y" or "import x as y" import,
@@ -129,10 +129,8 @@ class FixImports(fixer_base.BaseFix):
                 # line (e.g., "import StringIO, urlparse"). The problem is that I
                 # can't figure out an easy way to make a pattern recognize the
                 # keys of MAPPING randomly sprinkled in an import statement.
-                while True:
-                    results = self.match(node)
-                    if not results:
-                        break
+                results = self.match(node)
+                if results:
                     self.transform(node, results)
         else:
             # Replace usage of the module.
diff --git a/Lib/lib2to3/fixes/fix_long.py b/Lib/lib2to3/fixes/fix_long.py
index 5fd6af55145..873ecf1b9ea 100644
--- a/Lib/lib2to3/fixes/fix_long.py
+++ b/Lib/lib2to3/fixes/fix_long.py
@@ -5,20 +5,18 @@
 """
 
 # Local imports
-from .. import pytree
 from .. import fixer_base
-from ..fixer_util import Name, Number
+from ..fixer_util import Name, Number, is_probably_builtin
 
 
 class FixLong(fixer_base.BaseFix):
 
     PATTERN = "'long'"
 
-    static_long = Name("long")
     static_int = Name("int")
 
     def transform(self, node, results):
-        assert node == self.static_long, node
-        new = self.static_int.clone()
-        new.set_prefix(node.get_prefix())
-        return new
+        if is_probably_builtin(node):
+            new = self.static_int.clone()
+            new.set_prefix(node.get_prefix())
+            return new
diff --git a/Lib/lib2to3/main.py b/Lib/lib2to3/main.py
index a73149a0854..d37fe9e0f3e 100644
--- a/Lib/lib2to3/main.py
+++ b/Lib/lib2to3/main.py
@@ -41,7 +41,7 @@ class StdoutRefactoringTool(refactor.RefactoringTool):
         super(StdoutRefactoringTool, self).write_file(new_text,
                                                       filename, old_text)
         if not self.nobackups:
-            shutil.copymode(filename, backup)
+            shutil.copymode(backup, filename)
 
     def print_output(self, lines):
         for line in lines:
diff --git a/Lib/lib2to3/refactor.py b/Lib/lib2to3/refactor.py
index 5e386de5143..c0ba196b74c 100755
--- a/Lib/lib2to3/refactor.py
+++ b/Lib/lib2to3/refactor.py
@@ -287,17 +287,13 @@ class RefactoringTool(object):
         Returns:
             True if the tree was modified, False otherwise.
         """
-        # Two calls to chain are required because pre_order.values()
-        #   will be a list of lists of fixers:
-        #   [[<fixer ...>, <fixer ...>], [<fixer ...>]]
-        all_fixers = chain(self.pre_order, self.post_order)
-        for fixer in all_fixers:
+        for fixer in chain(self.pre_order, self.post_order):
             fixer.start_tree(tree, name)
 
         self.traverse_by(self.pre_order_heads, tree.pre_order())
         self.traverse_by(self.post_order_heads, tree.post_order())
 
-        for fixer in all_fixers:
+        for fixer in chain(self.pre_order, self.post_order):
             fixer.finish_tree(tree, name)
         return tree.was_changed
 
diff --git a/Lib/lib2to3/tests/data/py3_test_grammar.py b/Lib/lib2to3/tests/data/py3_test_grammar.py
index 9a8846307ec..eadf1db7ab3 100644
--- a/Lib/lib2to3/tests/data/py3_test_grammar.py
+++ b/Lib/lib2to3/tests/data/py3_test_grammar.py
@@ -485,6 +485,14 @@ class GrammarTests(unittest.TestCase):
         global a, b
         global one, two, three, four, five, six, seven, eight, nine, ten
 
+    def testNonlocal(self):
+        # 'nonlocal' NAME (',' NAME)*
+        x = 0
+        y = 0
+        def f():
+            nonlocal x
+            nonlocal x, y
+
     def testAssert(self):
         # assert_stmt: 'assert' test [',' test]
         assert 1
diff --git a/Lib/lib2to3/tests/test_fixers.py b/Lib/lib2to3/tests/test_fixers.py
index 17baaed725e..3dcabf9625c 100755
--- a/Lib/lib2to3/tests/test_fixers.py
+++ b/Lib/lib2to3/tests/test_fixers.py
@@ -1073,11 +1073,72 @@ class Test_long(FixerTestCase):
         a = """z = type(x) in (int, int)"""
         self.check(b, a)
 
+    def test_unchanged(self):
+        s = """long = True"""
+        self.unchanged(s)
+
+        s = """s.long = True"""
+        self.unchanged(s)
+
+        s = """def long(): pass"""
+        self.unchanged(s)
+
+        s = """class long(): pass"""
+        self.unchanged(s)
+
+        s = """def f(long): pass"""
+        self.unchanged(s)
+
+        s = """def f(g, long): pass"""
+        self.unchanged(s)
+
+        s = """def f(x, long=True): pass"""
+        self.unchanged(s)
+
     def test_prefix_preservation(self):
         b = """x =   long(  x  )"""
         a = """x =   int(  x  )"""
         self.check(b, a)
 
+
+class Test_execfile(FixerTestCase):
+    fixer = "execfile"
+
+    def test_conversion(self):
+        b = """execfile("fn")"""
+        a = """exec(compile(open("fn").read(), "fn", 'exec'))"""
+        self.check(b, a)
+
+        b = """execfile("fn", glob)"""
+        a = """exec(compile(open("fn").read(), "fn", 'exec'), glob)"""
+        self.check(b, a)
+
+        b = """execfile("fn", glob, loc)"""
+        a = """exec(compile(open("fn").read(), "fn", 'exec'), glob, loc)"""
+        self.check(b, a)
+
+        b = """execfile("fn", globals=glob)"""
+        a = """exec(compile(open("fn").read(), "fn", 'exec'), globals=glob)"""
+        self.check(b, a)
+
+        b = """execfile("fn", locals=loc)"""
+        a = """exec(compile(open("fn").read(), "fn", 'exec'), locals=loc)"""
+        self.check(b, a)
+
+        b = """execfile("fn", globals=glob, locals=loc)"""
+        a = """exec(compile(open("fn").read(), "fn", 'exec'), globals=glob, locals=loc)"""
+        self.check(b, a)
+
+    def test_spacing(self):
+        b = """execfile( "fn" )"""
+        a = """exec(compile(open( "fn" ).read(), "fn", 'exec'))"""
+        self.check(b, a)
+
+        b = """execfile("fn",  globals = glob)"""
+        a = """exec(compile(open("fn").read(), "fn", 'exec'),  globals = glob)"""
+        self.check(b, a)
+
+
 class Test_isinstance(FixerTestCase):
     fixer = "isinstance"
 
@@ -3466,11 +3527,30 @@ class Test_import(FixerTestCase):
         a = "from . import foo, bar"
         self.check_both(b, a)
 
+        b = "import foo, bar, x"
+        a = "from . import foo, bar, x"
+        self.check_both(b, a)
+
+        b = "import x, y, z"
+        a = "from . import x, y, z"
+        self.check_both(b, a)
+
     def test_import_as(self):
         b = "import foo as x"
         a = "from . import foo as x"
         self.check_both(b, a)
 
+        b = "import a as b, b as c, c as d"
+        a = "from . import a as b, b as c, c as d"
+        self.check_both(b, a)
+
+    def test_local_and_absolute(self):
+        self.always_exists = False
+        self.present_files = set(["foo.py", "__init__.py"])
+
+        s = "import foo, bar"
+        self.warns_unchanged(s, "absolute and local imports together")
+
     def test_dotted_import(self):
         b = "import foo.bar"
         a = "from . import foo.bar"