Index: include/llvm/ADT/Optional.h
===================================================================
--- include/llvm/ADT/Optional.h
+++ include/llvm/ADT/Optional.h
@@ -150,18 +150,43 @@
   static const bool value = isPodLike<T>::value;
 };
 
-/// \brief Poison comparison between two \c Optional objects. Clients needs to
-/// explicitly compare the underlying values and account for empty \c Optional
-/// objects.
-///
-/// This routine will never be defined. It returns \c void to help diagnose
-/// errors at compile time.
-template<typename T, typename U>
-void operator==(const Optional<T> &X, const Optional<U> &Y);
+template <typename T, typename U>
+bool operator==(const Optional<T> &X, const Optional<U> &Y) {
+  if (X && Y)
+    return *X == *Y;
+  return X.hasValue() == Y.hasValue();
+}
+
+template <typename T, typename U>
+bool operator!=(const Optional<T> &X, const Optional<U> &Y) {
+  return !(X == Y);
+}
+
+template <typename T, typename U>
+bool operator<(const Optional<T> &X, const Optional<U> &Y) {
+  if (X && Y)
+    return *X < *Y;
+  return X.hasValue() < Y.hasValue();
+}
+
+template <typename T, typename U>
+bool operator<=(const Optional<T> &X, const Optional<U> &Y) {
+  return !(Y < X);
+}
+
+template <typename T, typename U>
+bool operator>(const Optional<T> &X, const Optional<U> &Y) {
+  return Y < X;
+}
+
+template <typename T, typename U>
+bool operator>=(const Optional<T> &X, const Optional<U> &Y) {
+  return !(X < Y);
+}
 
 template<typename T>
 bool operator==(const Optional<T> &X, NoneType) {
-  return !X.hasValue();
+  return !X;
 }
 
 template<typename T>
@@ -178,50 +203,86 @@
 bool operator!=(NoneType, const Optional<T> &X) {
   return X != None;
 }
-/// \brief Poison comparison between two \c Optional objects. Clients needs to
-/// explicitly compare the underlying values and account for empty \c Optional
-/// objects.
-///
-/// This routine will never be defined. It returns \c void to help diagnose
-/// errors at compile time.
-template<typename T, typename U>
-void operator!=(const Optional<T> &X, const Optional<U> &Y);
-
-/// \brief Poison comparison between two \c Optional objects. Clients needs to
-/// explicitly compare the underlying values and account for empty \c Optional
-/// objects.
-///
-/// This routine will never be defined. It returns \c void to help diagnose
-/// errors at compile time.
-template<typename T, typename U>
-void operator<(const Optional<T> &X, const Optional<U> &Y);
-
-/// \brief Poison comparison between two \c Optional objects. Clients needs to
-/// explicitly compare the underlying values and account for empty \c Optional
-/// objects.
-///
-/// This routine will never be defined. It returns \c void to help diagnose
-/// errors at compile time.
-template<typename T, typename U>
-void operator<=(const Optional<T> &X, const Optional<U> &Y);
-
-/// \brief Poison comparison between two \c Optional objects. Clients needs to
-/// explicitly compare the underlying values and account for empty \c Optional
-/// objects.
-///
-/// This routine will never be defined. It returns \c void to help diagnose
-/// errors at compile time.
-template<typename T, typename U>
-void operator>=(const Optional<T> &X, const Optional<U> &Y);
-
-/// \brief Poison comparison between two \c Optional objects. Clients needs to
-/// explicitly compare the underlying values and account for empty \c Optional
-/// objects.
-///
-/// This routine will never be defined. It returns \c void to help diagnose
-/// errors at compile time.
-template<typename T, typename U>
-void operator>(const Optional<T> &X, const Optional<U> &Y);
+
+template <typename T> bool operator<(const Optional<T> &X, NoneType) {
+  return false;
+}
+
+template <typename T> bool operator<(NoneType, const Optional<T> &X) {
+  return X.hasValue();
+}
+
+template <typename T> bool operator<=(const Optional<T> &X, NoneType) {
+  return !(None < X);
+}
+
+template <typename T> bool operator<=(NoneType, const Optional<T> &X) {
+  return !(X < None);
+}
+
+template <typename T> bool operator>(const Optional<T> &X, NoneType) {
+  return None < X;
+}
+
+template <typename T> bool operator>(NoneType, const Optional<T> &X) {
+  return X < None;
+}
+
+template <typename T> bool operator>=(const Optional<T> &X, NoneType) {
+  return None <= X;
+}
+
+template <typename T> bool operator>=(NoneType, const Optional<T> &X) {
+  return X <= None;
+}
+
+template <typename T> bool operator==(const Optional<T> &X, const T &Y) {
+  return X && *X == Y;
+}
+
+template <typename T> bool operator==(const T &X, const Optional<T> &Y) {
+  return Y == X;
+}
+
+template <typename T> bool operator!=(const Optional<T> &X, const T &Y) {
+  return !(X == Y);
+}
+
+template <typename T> bool operator!=(const T &X, const Optional<T> &Y) {
+  return !(X == Y);
+}
+
+template <typename T> bool operator<(const Optional<T> &X, const T &Y) {
+  return !X || *X < Y;
+}
+
+template <typename T> bool operator<(const T &X, const Optional<T> &Y) {
+  return Y && X < *Y;
+}
+
+template <typename T> bool operator<=(const Optional<T> &X, const T &Y) {
+  return !(Y < X);
+}
+
+template <typename T> bool operator<=(const T &X, const Optional<T> &Y) {
+  return !(Y < X);
+}
+
+template <typename T> bool operator>(const Optional<T> &X, const T &Y) {
+  return Y < X;
+}
+
+template <typename T> bool operator>(const T &X, const Optional<T> &Y) {
+  return Y < X;
+}
+
+template <typename T> bool operator>=(const Optional<T> &X, const T &Y) {
+  return !(X < Y);
+}
+
+template <typename T> bool operator>=(const T &X, const Optional<T> &Y) {
+  return !(X < Y);
+}
 
 } // end llvm namespace
 
Index: unittests/ADT/OptionalTest.cpp
===================================================================
--- unittests/ADT/OptionalTest.cpp
+++ unittests/ADT/OptionalTest.cpp
@@ -9,6 +9,7 @@
 
 #include "gtest/gtest.h"
 #include "llvm/ADT/Optional.h"
+
 using namespace llvm;
 
 namespace {
@@ -377,17 +378,142 @@
 
 #endif // LLVM_HAS_RVALUE_REFERENCE_THIS
 
-TEST_F(OptionalTest, NoneComparison) {
-  Optional<int> o;
-  EXPECT_EQ(o, None);
-  EXPECT_EQ(None, o);
-  EXPECT_FALSE(o != None);
-  EXPECT_FALSE(None != o);
-  o = 3;
-  EXPECT_FALSE(o == None);
-  EXPECT_FALSE(None == o);
-  EXPECT_TRUE(o != None);
-  EXPECT_TRUE(None != o);
+template <typename OperatorT>
+void CheckOptRelations(const Optional<int> (&Opts)[3],
+                       const bool (&Results)[3][3]) {
+  for (int i = 0; i < 3; i++) {
+    for (int j = 0; j < 3; j++) {
+      EXPECT_EQ(Results[i][j], OperatorT::apply(Opts[i], Opts[j]));
+
+      if (Opts[i])
+        EXPECT_EQ(Results[i][j], OperatorT::apply(*Opts[i], Opts[j]));
+      else
+        EXPECT_EQ(Results[i][j], OperatorT::apply(None, Opts[j]));
+
+      if (Opts[j])
+        EXPECT_EQ(Results[i][j], OperatorT::apply(Opts[i], *Opts[j]));
+      else
+        EXPECT_EQ(Results[i][j], OperatorT::apply(Opts[i], None));
+    }
+  }
+}
+
+struct EqualTo {
+  template <typename T, typename U> static bool apply(const T &X, const U &Y) {
+    return X == Y;
+  }
+};
+
+TEST_F(OptionalTest, OperatorEqual) {
+  //      None 3 4
+  // None    = < <
+  //    3    > = <
+  //    4    > > =
+  CheckOptRelations<EqualTo>(
+      {None, 3, 4},
+      {
+          {true, false, false}, {false, true, false}, {false, false, true},
+      });
+}
+
+struct NotEqualTo {
+  template <typename T, typename U> static bool apply(const T &X, const U &Y) {
+    return X != Y;
+  }
+};
+
+TEST_F(OptionalTest, OperatorNotEqual) {
+  //      None 3 4
+  // None    = < <
+  //    3    > = <
+  //    4    > > =
+  CheckOptRelations<NotEqualTo>(
+      {None, 3, 4},
+      {
+          {false, true, true},
+          {true, false, true},
+          {true, true, false},
+      });
+}
+
+struct Less {
+  template <typename T, typename U> static bool apply(const T &X, const U &Y) {
+    return X < Y;
+  }
+};
+
+TEST_F(OptionalTest, OperatorLess) {
+  //      None 3 4
+  // None    = < <
+  //    3    > = <
+  //    4    > > =
+  CheckOptRelations<Less>(
+      {None, 3, 4},
+      {
+          {false, true, true},
+          {false, false, true},
+          {false, false, false},
+      });
+}
+
+struct Greater {
+  template <typename T, typename U> static bool apply(const T &X, const U &Y) {
+    return X > Y;
+  }
+};
+
+TEST_F(OptionalTest, OperatorGreater) {
+  //      None 3 4
+  // None    = < <
+  //    3    > = <
+  //    4    > > =
+  CheckOptRelations<Greater>(
+      {None, 3, 4},
+      {
+          {false, false, false},
+          {true, false, false},
+          {true, true, false},
+      });
+}
+
+struct LessEqual {
+  template <typename T, typename U> static bool apply(const T &X, const U &Y) {
+    return X <= Y;
+  }
+};
+
+TEST_F(OptionalTest, OperatorLessEqual) {
+  //      None 3 4
+  // None    = < <
+  //    3    > = <
+  //    4    > > =
+  CheckOptRelations<LessEqual>(
+      {None, 3, 4},
+      {
+          {true, true, true},
+          {false, true, true},
+          {false, false, true},
+      });
+}
+
+struct GreaterEqual {
+  template <typename T, typename U> static bool apply(const T &X, const U &Y) {
+    return X >= Y;
+  }
+};
+
+TEST_F(OptionalTest, OperatorGreaterEqual) {
+  //      None 3 4
+  // None    = < <
+  //    3    > = <
+  //    4    > > =
+  CheckOptRelations<GreaterEqual>(
+      {None, 3, 4},
+      {
+          {true, false, false},
+          {true, true, false},
+          {true, true, true},
+      });
 }
 
 } // end anonymous namespace