diff --git a/Eigen/src/Core/arch/CUDA/Half.h b/Eigen/src/Core/arch/CUDA/Half.h
index d081c7392..5c44ee98f 100644
--- a/Eigen/src/Core/arch/CUDA/Half.h
+++ b/Eigen/src/Core/arch/CUDA/Half.h
@@ -72,22 +72,11 @@ struct half : public __half {
 
   explicit EIGEN_DEVICE_FUNC half(bool b)
       : __half(internal::raw_uint16_to_half(b ? 0x3c00 : 0)) {}
-  explicit EIGEN_DEVICE_FUNC half(unsigned int ui)
-      : __half(internal::float_to_half_rtne(static_cast<float>(ui))) {}
-  explicit EIGEN_DEVICE_FUNC half(int i)
-      : __half(internal::float_to_half_rtne(static_cast<float>(i))) {}
-  explicit EIGEN_DEVICE_FUNC half(unsigned long ul)
-      : __half(internal::float_to_half_rtne(static_cast<float>(ul))) {}
-  explicit EIGEN_DEVICE_FUNC half(long l)
-      : __half(internal::float_to_half_rtne(static_cast<float>(l))) {}
-  explicit EIGEN_DEVICE_FUNC half(long long ll)
-      : __half(internal::float_to_half_rtne(static_cast<float>(ll))) {}
-  explicit EIGEN_DEVICE_FUNC half(unsigned long long ull)
-      : __half(internal::float_to_half_rtne(static_cast<float>(ull))) {}
+  template<class T>
+  explicit EIGEN_DEVICE_FUNC half(const T& x)
+      : __half(internal::float_to_half_rtne(static_cast<float>(x))) {}
   explicit EIGEN_DEVICE_FUNC half(float f)
       : __half(internal::float_to_half_rtne(f)) {}
-  explicit EIGEN_DEVICE_FUNC half(double d)
-      : __half(internal::float_to_half_rtne(static_cast<float>(d))) {}
 
   EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(bool) const {
     // +0.0 and -0.0 become false, everything else becomes true.