diff --git a/internal/ceres/map_util.h b/internal/ceres/map_util.h
index f55aee3..6e310f8 100644
--- a/internal/ceres/map_util.h
+++ b/internal/ceres/map_util.h
@@ -34,6 +34,7 @@
 #define CERES_INTERNAL_MAP_UTIL_H_
 
 #include <utility>
+
 #include "ceres/internal/port.h"
 #include "glog/logging.h"
 
@@ -55,9 +56,9 @@
 // This version assumes the key is printable, and includes it in the fatal log
 // message.
 template <class Collection>
-const typename Collection::value_type::second_type&
-FindOrDie(const Collection& collection,
-          const typename Collection::value_type::first_type& key) {
+const typename Collection::value_type::second_type& FindOrDie(
+    const Collection& collection,
+    const typename Collection::value_type::first_type& key) {
   typename Collection::const_iterator it = collection.find(key);
   CHECK(it != collection.end()) << "Map key not found: " << key;
   return it->second;
@@ -67,10 +68,10 @@
 // If the key is present in the map then the value associated with that
 // key is returned, otherwise the value passed as a default is returned.
 template <class Collection>
-const typename Collection::value_type::second_type
-FindWithDefault(const Collection& collection,
-                const typename Collection::value_type::first_type& key,
-                const typename Collection::value_type::second_type& value) {
+const typename Collection::value_type::second_type FindWithDefault(
+    const Collection& collection,
+    const typename Collection::value_type::first_type& key,
+    const typename Collection::value_type::second_type& value) {
   typename Collection::const_iterator it = collection.find(key);
   if (it == collection.end()) {
     return value;
@@ -84,7 +85,7 @@
 // took place, false indicates the key was already present.
 template <class Collection>
 bool InsertIfNotPresent(
-    Collection * const collection,
+    Collection* const collection,
     const typename Collection::value_type::first_type& key,
     const typename Collection::value_type::second_type& value) {
   std::pair<typename Collection::iterator, bool> ret =
@@ -96,9 +97,9 @@
 // Same as above but the returned pointer is not const and can be used to change
 // the stored value.
 template <class Collection>
-typename Collection::value_type::second_type*
-FindOrNull(Collection& collection,  // NOLINT
-           const typename Collection::value_type::first_type& key) {
+typename Collection::value_type::second_type* FindOrNull(
+    Collection& collection,  // NOLINT
+    const typename Collection::value_type::first_type& key) {
   typename Collection::iterator it = collection.find(key);
   if (it == collection.end()) {
     return 0;
@@ -116,13 +117,13 @@
 
 // Inserts a new key/value into a map or hash_map.
 // Dies if the key is already present.
-template<class Collection>
+template <class Collection>
 void InsertOrDie(Collection* const collection,
                  const typename Collection::value_type::first_type& key,
                  const typename Collection::value_type::second_type& data) {
   typedef typename Collection::value_type value_type;
   CHECK(collection->insert(value_type(key, data)).second)
-    << "duplicate key: " << key;
+      << "duplicate key: " << key;
 }
 
 }  // namespace ceres