diff --git a/Eigen/src/Core/arch/CUDA/Half.h b/Eigen/src/Core/arch/CUDA/Half.h
index a2a2bac37..44645522a 100644
--- a/Eigen/src/Core/arch/CUDA/Half.h
+++ b/Eigen/src/Core/arch/CUDA/Half.h
@@ -414,6 +414,13 @@ using ::log;
 using ::sqrt;
 using ::floor;
 using ::ceil;
+template <>
+
+struct hash<Eigen::half> {
+  size_t operator()(const Eigen::half& a) const {
+    return std::hash<unsigned short>()(a.x);
+  }
+};
 
 } // end namespace std