diff --git a/Eigen/src/Core/functors/BinaryFunctors.h b/Eigen/src/Core/functors/BinaryFunctors.h
index 90d8b7d1d..4962d625c 100644
--- a/Eigen/src/Core/functors/BinaryFunctors.h
+++ b/Eigen/src/Core/functors/BinaryFunctors.h
@@ -29,7 +29,7 @@ template<typename Scalar> struct scalar_sum_op {
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a, const Packet& b) const
   { return internal::padd(a,b); }
   template<typename Packet>
-  EIGEN_STRONG_INLINE const Scalar predux(const Packet& a) const
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar predux(const Packet& a) const
   { return internal::predux(a); }
 };
 template<typename Scalar>
@@ -68,7 +68,7 @@ template<typename LhsScalar,typename RhsScalar> struct scalar_product_op {
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a, const Packet& b) const
   { return internal::pmul(a,b); }
   template<typename Packet>
-  EIGEN_STRONG_INLINE const result_type predux(const Packet& a) const
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const result_type predux(const Packet& a) const
   { return internal::predux_mul(a); }
 };
 template<typename LhsScalar,typename RhsScalar>
@@ -175,30 +175,37 @@ struct result_of<scalar_cmp_op<Scalar, Cmp>(Scalar,Scalar)> {
 
 
 template<typename Scalar> struct scalar_cmp_op<Scalar, cmp_EQ> {
+  typedef bool result_type;
   EIGEN_EMPTY_STRUCT_CTOR(scalar_cmp_op)
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator()(const Scalar& a, const Scalar& b) const {return a==b;}
 };
 template<typename Scalar> struct scalar_cmp_op<Scalar, cmp_LT> {
+  typedef bool result_type;
   EIGEN_EMPTY_STRUCT_CTOR(scalar_cmp_op)
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator()(const Scalar& a, const Scalar& b) const {return a<b;}
 };
 template<typename Scalar> struct scalar_cmp_op<Scalar, cmp_LE> {
+  typedef bool result_type;
   EIGEN_EMPTY_STRUCT_CTOR(scalar_cmp_op)
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator()(const Scalar& a, const Scalar& b) const {return a<=b;}
 };
 template<typename Scalar> struct scalar_cmp_op<Scalar, cmp_GT> {
+  typedef bool result_type;
   EIGEN_EMPTY_STRUCT_CTOR(scalar_cmp_op)
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator()(const Scalar& a, const Scalar& b) const {return a>b;}
 };
 template<typename Scalar> struct scalar_cmp_op<Scalar, cmp_GE> {
+  typedef bool result_type;
   EIGEN_EMPTY_STRUCT_CTOR(scalar_cmp_op)
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator()(const Scalar& a, const Scalar& b) const {return a>=b;}
 };
 template<typename Scalar> struct scalar_cmp_op<Scalar, cmp_UNORD> {
+  typedef bool result_type;
   EIGEN_EMPTY_STRUCT_CTOR(scalar_cmp_op)
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator()(const Scalar& a, const Scalar& b) const {return !(a<=b || b<=a);}
 };
 template<typename Scalar> struct scalar_cmp_op<Scalar, cmp_NEQ> {
+  typedef bool result_type;
   EIGEN_EMPTY_STRUCT_CTOR(scalar_cmp_op)
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator()(const Scalar& a, const Scalar& b) const {return a!=b;}
 };
@@ -448,9 +455,9 @@ struct functor_traits<scalar_add_op<Scalar> >
   */
 template<typename Scalar>
 struct scalar_sub_op {
-  inline scalar_sub_op(const scalar_sub_op& other) : m_other(other.m_other) { }
-  inline scalar_sub_op(const Scalar& other) : m_other(other) { }
-  inline Scalar operator() (const Scalar& a) const { return a - m_other; }
+  EIGEN_DEVICE_FUNC inline scalar_sub_op(const scalar_sub_op& other) : m_other(other.m_other) { }
+  EIGEN_DEVICE_FUNC inline scalar_sub_op(const Scalar& other) : m_other(other) { }
+  EIGEN_DEVICE_FUNC inline Scalar operator() (const Scalar& a) const { return a - m_other; }
   template <typename Packet>
   EIGEN_DEVICE_FUNC inline const Packet packetOp(const Packet& a) const
   { return internal::psub(a, pset1<Packet>(m_other)); }
@@ -466,9 +473,9 @@ struct functor_traits<scalar_sub_op<Scalar> >
   */
 template<typename Scalar>
 struct scalar_rsub_op {
-  inline scalar_rsub_op(const scalar_rsub_op& other) : m_other(other.m_other) { }
-  inline scalar_rsub_op(const Scalar& other) : m_other(other) { }
-  inline Scalar operator() (const Scalar& a) const { return m_other - a; }
+  EIGEN_DEVICE_FUNC inline scalar_rsub_op(const scalar_rsub_op& other) : m_other(other.m_other) { }
+  EIGEN_DEVICE_FUNC inline scalar_rsub_op(const Scalar& other) : m_other(other) { }
+  EIGEN_DEVICE_FUNC inline Scalar operator() (const Scalar& a) const { return m_other - a; }
   template <typename Packet>
   EIGEN_DEVICE_FUNC inline const Packet packetOp(const Packet& a) const
   { return internal::psub(pset1<Packet>(m_other), a); }
@@ -485,8 +492,8 @@ struct functor_traits<scalar_rsub_op<Scalar> >
 template<typename Scalar>
 struct scalar_pow_op {
   // FIXME default copy constructors seems bugged with std::complex<>
-  inline scalar_pow_op(const scalar_pow_op& other) : m_exponent(other.m_exponent) { }
-  inline scalar_pow_op(const Scalar& exponent) : m_exponent(exponent) {}
+  EIGEN_DEVICE_FUNC inline scalar_pow_op(const scalar_pow_op& other) : m_exponent(other.m_exponent) { }
+  EIGEN_DEVICE_FUNC inline scalar_pow_op(const Scalar& exponent) : m_exponent(exponent) {}
   EIGEN_DEVICE_FUNC
   inline Scalar operator() (const Scalar& a) const { return numext::pow(a, m_exponent); }
   const Scalar m_exponent;
@@ -501,7 +508,7 @@ struct functor_traits<scalar_pow_op<Scalar> >
   */
 template<typename Scalar>
 struct scalar_inverse_mult_op {
-  scalar_inverse_mult_op(const Scalar& other) : m_other(other) {}
+  EIGEN_DEVICE_FUNC scalar_inverse_mult_op(const Scalar& other) : m_other(other) {}
   EIGEN_DEVICE_FUNC inline Scalar operator() (const Scalar& a) const { return m_other / a; }
   template<typename Packet>
   EIGEN_DEVICE_FUNC inline const Packet packetOp(const Packet& a) const