diff --git a/Eigen/src/Core/GenericPacketMath.h b/Eigen/src/Core/GenericPacketMath.h
index 95c4e4027..bb3275fe8 100644
--- a/Eigen/src/Core/GenericPacketMath.h
+++ b/Eigen/src/Core/GenericPacketMath.h
@@ -218,6 +218,13 @@ pandnot(const Packet& a, const Packet& b) { return a & (~b); }
 template<typename Packet> EIGEN_DEVICE_FUNC inline Packet
 ptrue(const Packet& /*a*/) { Packet b; memset(&b, 0xff, sizeof(b)); return b;}
 
+template <typename RealScalar>
+EIGEN_DEVICE_FUNC inline std::complex<RealScalar> ptrue(const std::complex<RealScalar>& /*a*/) {
+  RealScalar b;
+  b = ptrue(b);
+  return std::complex<RealScalar>(b, b);
+}
+
 /** \internal \returns the bitwise not of \a a */
 template <typename Packet> EIGEN_DEVICE_FUNC inline Packet
 pnot(const Packet& a) { return pxor(ptrue(a), a);}
diff --git a/Eigen/src/Core/arch/GPU/PacketMathHalf.h b/Eigen/src/Core/arch/GPU/PacketMathHalf.h
index 00e40d40b..eab7be14c 100644
--- a/Eigen/src/Core/arch/GPU/PacketMathHalf.h
+++ b/Eigen/src/Core/arch/GPU/PacketMathHalf.h
@@ -143,10 +143,14 @@ template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pabs<half2>(const half2&
   return result;
 }
 
+template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half ptrue<half>(const half& a) {
+  return __half_raw(0xffffu);
+}
+
 template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 ptrue<half2>(const half2& a) {
   half2 result;
   *(reinterpret_cast<unsigned*>(&(result))) = 0xffffffffu;
-}  
+}
 
 EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void
 ptranspose(PacketBlock<half2,2>& kernel) {