Intrepid2_Utils.hpp

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//
//                           Intrepid2 Package
//                 Copyright (2007) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
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// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
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// Questions? Contact Kyungjoo Kim  (kyukim@sandia.gov), or
//                    Mauro Perego  (mperego@sandia.gov)
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#ifndef __INTREPID2_UTILS_HPP__
#define __INTREPID2_UTILS_HPP__

#include "Intrepid2_ConfigDefs.hpp"
#include "Intrepid2_DeviceAssert.hpp"
#include "Intrepid2_Types.hpp"

#include "Kokkos_Core.hpp"
#include "Kokkos_Macros.hpp" // provides some preprocessor values used in definitions of INTREPID2_DEPRECATED, etc.
#include "Kokkos_Random.hpp"

#ifdef HAVE_INTREPID2_SACADO
#include "Kokkos_LayoutNatural.hpp"
#endif

namespace Intrepid2 {

#if defined(__CUDA_ARCH__) || defined(__HIP_DEVICE_COMPILE__) 
#define INTREPID2_COMPILE_DEVICE_CODE
#endif

#if defined(KOKKOS_ENABLE_CUDA) || defined(KOKKOS_ENABLE_HIP)
#define INTREPID2_ENABLE_DEVICE
#endif

#if defined(KOKKOS_OPT_RANGE_AGGRESSIVE_VECTORIZATION) \
  && defined(KOKKOS_ENABLE_PRAGMA_IVDEP) \
  && !defined(INTREPID2_COMPILE_DEVICE_CODE)
#define INTREPID2_USE_IVDEP
#endif

  //
  // test macros
  //

#define INTREPID2_TEST_FOR_WARNING(test, msg)                           \
  if (test) {                                                           \
    printf("[Intrepid2] Warning in file %s, line %d\n",__FILE__,__LINE__); \
    printf("            Test that evaluated to true: %s\n", #test);     \
    printf("            %s \n", msg);                                   \
  }

#define INTREPID2_TEST_FOR_EXCEPTION(test, x, msg)                      \
  if (test) {                                                           \
    printf("[Intrepid2] Error in file %s, line %d\n",__FILE__,__LINE__); \
    printf("            Test that evaluated to true: %s\n", #test);     \
    printf("            %s \n", msg);                                   \
    throw x(msg);                                                       \
  }

#ifndef INTREPID2_ENABLE_DEVICE
#define INTREPID2_TEST_FOR_EXCEPTION_DEVICE_SAFE(test, x, msg)                              \
  if (test) {                                                                               \
    std::cout << "[Intrepid2] Error in file " << __FILE__ << ", line " << __LINE__ << "\n"; \
    std::cout << "            Test that evaluated to true: " << #test << "\n";              \
    std::cout << "            " << msg << " \n";                                            \
    throw x(msg);                                                                           \
  }
#else
#define INTREPID2_TEST_FOR_EXCEPTION_DEVICE_SAFE(test, x, msg)          \
  if (test) {                                                           \
    printf("[Intrepid2] Error in file %s, line %d\n",__FILE__,__LINE__); \
    printf("            Test that evaluated to true: %s\n", #test);     \
    printf("            %s \n", msg);                                   \
    Kokkos::abort(  "[Intrepid2] Abort\n");                             \
  }
#endif
#if defined(INTREPID2_ENABLE_DEBUG) || defined(NDEBUG) || 1
#define INTREPID2_TEST_FOR_ABORT(test, msg)                             \
  if (test) {                                                           \
    printf("[Intrepid2] Error in file %s, line %d\n",__FILE__,__LINE__); \
    printf("            Test that evaluated to true: %s\n", #test);     \
    printf("            %s \n", msg);                                   \
    Kokkos::abort(  "[Intrepid2] Abort\n");                             \
  }
#else
#define INTREPID2_TEST_FOR_ABORT(test, msg) ((void)0)      
#endif
  // check the first error only
#ifdef INTREPID2_TEST_FOR_DEBUG_ABORT_OVERRIDE_TO_CONTINUE
#define INTREPID2_TEST_FOR_DEBUG_ABORT(test, info, msg)                 \
  if (!(info) && (test)) {                                              \
    printf("[Intrepid2] Error in file %s, line %d\n",__FILE__,__LINE__); \
    printf("            Test that evaluated to true: %s\n", #test);     \
    printf("            %s \n", msg);                                   \
    info = true;                                                        \
  }
#else  
#define INTREPID2_TEST_FOR_DEBUG_ABORT(test, info, msg)                 \
  if (!(info) && (test)) {                                              \
    printf("[Intrepid2] Error in file %s, line %d\n",__FILE__,__LINE__); \
    printf("            Test that evaluated to true: %s\n", #test);     \
    printf("            %s \n", msg);                                   \
    info = true ;                                                       \
    Kokkos::abort(  "[Intrepid2] Abort\n");                             \
  }
#endif

  template<typename T> 
  struct ScalarTraits {
    typedef typename T::scalar_type scalar_type;
  };

  // this is built in types to support
  template<>
  struct ScalarTraits<float> {
    typedef float scalar_type;
  };
  template<>
  struct ScalarTraits<double> {
    typedef double scalar_type;
  };
  template<>
  struct ScalarTraits<int> {
    typedef int scalar_type;
  };
  template<>
  struct ScalarTraits<long int> {
    typedef long int scalar_type;
  };
  template<>
  struct ScalarTraits<long long> {
    typedef long long scalar_type;
  };



  template<typename ViewSpaceType, typename UserSpaceType>
  struct ExecSpace {
    typedef UserSpaceType ExecSpaceType;
  };

  template<typename ViewSpaceType>
  struct ExecSpace<ViewSpaceType,void> {
    typedef ViewSpaceType ExecSpaceType;
  };


  template <typename ViewType>
  struct DeduceLayout {
    using input_layout = typename ViewType::array_layout;
    using default_layout = typename ViewType::device_type::execution_space::array_layout;
    using result_layout  =
      typename std::conditional<
        std::is_same< input_layout, Kokkos::LayoutStride >::value,
        default_layout,
        input_layout >::type;
  };


  //
  // utilities device comparible
  //

  // this will be gone 
  template<typename IdxType, typename DimType, typename IterType>
  KOKKOS_FORCEINLINE_FUNCTION
  static void 
  unrollIndex(IdxType &i, IdxType &j, 
              const DimType /* dim0 */,
              const DimType dim1,
              const IterType iter) {
    // left index
    //j = iter/dim0;
    //i = iter%dim0;
    
    // right index
    i = iter/dim1;
    j = iter%dim1;
  }
  
  template<typename IdxType, typename DimType, typename IterType>
  KOKKOS_FORCEINLINE_FUNCTION
  static void 
  unrollIndex(IdxType &i, IdxType &j, IdxType &k, 
              const DimType dim0,
              const DimType dim1,
              const DimType dim2,
              const IterType iter) {
    IdxType tmp;
    
    //unrollIndex(tmp, k, dim0*dim1, dim2, iter);
    //unrollIndex(  i, j, dim0,      dim1,  tmp);
    
    unrollIndex( i, tmp, dim0, dim1*dim2, iter);
    unrollIndex( j, k,   dim1,      dim2,  tmp);
  }
  
  template<typename T>
  class Util {
  public:
    KOKKOS_FORCEINLINE_FUNCTION
    static T min(const T a, const T b) {
      return (a < b ? a : b);
    }

    KOKKOS_FORCEINLINE_FUNCTION
    static T max(const T a, const T b) {
      return (a > b ? a : b);
    }

    KOKKOS_FORCEINLINE_FUNCTION
    static T abs(const T a) {
      return (a > 0 ? a : T(-a));
    }

  };

  template<typename T>
  KOKKOS_FORCEINLINE_FUNCTION
  static T min(const T &a, const T &b) {
    return (a < b ? a : b);
  }

  template<typename T>
  KOKKOS_FORCEINLINE_FUNCTION
  static T max(const T &a, const T &b) {
    return (a > b ? a : b);
  }

  template<typename T>
  KOKKOS_FORCEINLINE_FUNCTION
  static T abs(const T &a) {
    return (a > 0 ? a : T(-a));
  }

  template<typename T>
  KOKKOS_FORCEINLINE_FUNCTION
  constexpr typename
  std::enable_if< !std::is_pod<T>::value, typename ScalarTraits<T>::scalar_type >::type
  get_scalar_value(const T& obj) {return obj.val();}

  template<typename T>
  KOKKOS_FORCEINLINE_FUNCTION
  constexpr typename
  std::enable_if< std::is_pod<T>::value, typename ScalarTraits<T>::scalar_type >::type
  get_scalar_value(const T& obj){return obj;}


  template<typename T, typename ...P>
  KOKKOS_INLINE_FUNCTION
  constexpr typename
  std::enable_if< std::is_pod<T>::value, unsigned >::type
  dimension_scalar(const Kokkos::DynRankView<T, P...> /* view */) {return 1;}

  template<typename T, typename ...P>
  KOKKOS_INLINE_FUNCTION
  constexpr typename
  std::enable_if< std::is_pod< typename Kokkos::View<T, P...>::value_type >::value, unsigned >::type
  dimension_scalar(const Kokkos::View<T, P...> /*view*/) {return 1;}

  template<typename T, typename ...P>
  KOKKOS_FORCEINLINE_FUNCTION
  static ordinal_type get_dimension_scalar(const Kokkos::DynRankView<T, P...> &view) {
    return dimension_scalar(view);
  }

  template<typename T, typename ...P>
  KOKKOS_FORCEINLINE_FUNCTION
  static ordinal_type get_dimension_scalar(const Kokkos::View<T, P...> &view) {
    return dimension_scalar(view);
  }
  
  template<class ViewType, class ... DimArgs>
  inline
  Kokkos::DynRankView<typename ViewType::value_type, typename DeduceLayout< ViewType >::result_layout, typename ViewType::device_type >
  getMatchingViewWithLabel(const ViewType &view, const std::string &label, DimArgs... dims)
  {
    using ValueType          = typename ViewType::value_type;
    using ResultLayout       = typename DeduceLayout< ViewType >::result_layout;
    using DeviceType         = typename ViewType::device_type;
    using ViewTypeWithLayout = Kokkos::DynRankView<ValueType, ResultLayout, DeviceType >;
    
    const bool allocateFadStorage = !std::is_pod<ValueType>::value;
    if (!allocateFadStorage)
    {
      return ViewTypeWithLayout(label,dims...);
    }
    else
    {
      const int derivative_dimension = get_dimension_scalar(view);
      return ViewTypeWithLayout(label,dims...,derivative_dimension);
    }
  }

  using std::enable_if_t;

  template <typename T, typename = void>
  struct has_rank_member : std::false_type{};

  template <typename T>
  struct has_rank_member<T, decltype((void)T::rank, void())> : std::true_type {};

  static_assert(! has_rank_member<Kokkos::DynRankView<double> >::value, "DynRankView does not have a member rank, so this assert should pass -- if not, something may be wrong with has_rank_member.");
  static_assert(  has_rank_member<Kokkos::View<double*> >::value,        "View has a member rank -- if this assert fails, something may be wrong with has_rank_member.");

  template<class Functor, ordinal_type default_value>
  constexpr
  enable_if_t<has_rank_member<Functor>::value, ordinal_type>
  getFixedRank()
  {
    return Functor::rank;
  }

  template<class Functor, ordinal_type default_value>
  constexpr
  enable_if_t<!has_rank_member<Functor>::value, ordinal_type>
  getFixedRank()
  {
    return default_value;
  }
 
  template <typename T>
  class supports_rank_1
  {
      typedef char one;
      struct two { char x[2]; };

      template <typename C> static one test( typename std::remove_reference<decltype( std::declval<C>().operator()(0))>::type );
      template <typename C> static two test(...);

  public:
      enum { value = sizeof(test<T>(0)) == sizeof(char) && (getFixedRank<T,1>() == 1)  };
  };

  template <typename T>
  class supports_rank_2
  {
      typedef char one;
      struct two { char x[2]; };

      template <typename C> static one test( typename std::remove_reference<decltype( std::declval<C>().operator()(0,0))>::type ) ;
      template <typename C> static two test(...);

  public:
      enum { value = sizeof(test<T>(0)) == sizeof(char) && (getFixedRank<T,2>() == 2)  };
  };

  template <typename T>
  class supports_rank_3
  {
      typedef char one;
      struct two { char x[2]; };

      template <typename C> static one test( typename std::remove_reference<decltype( std::declval<C>().operator()(0,0,0))>::type ) ;
      template <typename C> static two test(...);

  public:
      enum { value = (sizeof(test<T>(0)) == sizeof(char)) && (getFixedRank<T,3>() == 3) };
  };

  template <typename T>
  class supports_rank_4
  {
      typedef char one;
      struct two { char x[2]; };

      template <typename C> static one test( typename std::remove_reference<decltype( std::declval<C>().operator()(0,0,0,0))>::type ) ;
      template <typename C> static two test(...);

  public:
      enum { value = sizeof(test<T>(0)) == sizeof(char) && (getFixedRank<T,4>() == 4)  };
  };

  template <typename T>
  class supports_rank_5
  {
      typedef char one;
      struct two { char x[2]; };

      template <typename C> static one test( typename std::remove_reference<decltype( std::declval<C>().operator()(0,0,0,0,0))>::type ) ;
      template <typename C> static two test(...);

  public:
      enum { value = sizeof(test<T>(0)) == sizeof(char) && (getFixedRank<T,5>() == 5) };
  };

  template <typename T>
  class supports_rank_6
  {
      typedef char one;
      struct two { char x[2]; };

      template <typename C> static one test( typename std::remove_reference<decltype( std::declval<C>().operator()(0,0,0,0,0,0))>::type ) ;
      template <typename C> static two test(...);

  public:
      enum { value = sizeof(test<T>(0)) == sizeof(char) && (getFixedRank<T,6>() == 6)  };
  };

  template <typename T>
  class supports_rank_7
  {
      typedef char one;
      struct two { char x[2]; };

      template <typename C> static one test( typename std::remove_reference<decltype( std::declval<C>().operator()(0,0,0,0,0,0,0))>::type ) ;
      template <typename C> static two test(...);

  public:
      enum { value = sizeof(test<T>(0)) == sizeof(char) && (getFixedRank<T,7>() == 7) };
  };

  template <typename T, int rank>
  class supports_rank
  {
  public:
      enum { value = false };
  };

  template <typename T>
  class supports_rank<T,1>
  {
  public:
      enum { value = supports_rank_1<T>::value };
  };

  template <typename T>
  class supports_rank<T,2>
  {
  public:
      enum { value = supports_rank_2<T>::value };
  };

  template <typename T>
  class supports_rank<T,3>
  {
  public:
      enum { value = supports_rank_3<T>::value };
  };

  template <typename T>
  class supports_rank<T,4>
  {
  public:
      enum { value = supports_rank_4<T>::value };
  };

  template <typename T>
  class supports_rank<T,5>
  {
  public:
      enum { value = supports_rank_5<T>::value };
  };

  template <typename T>
  class supports_rank<T,6>
  {
  public:
      enum { value = supports_rank_6<T>::value };
  };

  template <typename T>
  class supports_rank<T,7>
  {
  public:
      enum { value = supports_rank_7<T>::value };
  };



  template<typename Scalar, int rank>
  struct RankExpander {
    
  };

  template<typename Scalar>
  struct RankExpander<Scalar,0>
  {
    using value_type = Scalar;
  };

  template<typename Scalar>
  struct RankExpander<Scalar,1>
  {
    using value_type = Scalar*;
  };

  template<typename Scalar>
  struct RankExpander<Scalar,2>
  {
    using value_type = Scalar**;
  };

  template<typename Scalar>
  struct RankExpander<Scalar,3>
  {
    using value_type = Scalar***;
  };

  template<typename Scalar>
  struct RankExpander<Scalar,4>
  {
    using value_type = Scalar****;
  };

  template<typename Scalar>
  struct RankExpander<Scalar,5>
  {
    using value_type = Scalar*****;
  };

  template<typename Scalar>
  struct RankExpander<Scalar,6>
  {
    using value_type = Scalar******;
  };

  template<typename Scalar>
  struct RankExpander<Scalar,7>
  {
    using value_type = Scalar*******;
  };

  // positive checks of supports_rank for Kokkos::DynRankView:
  static_assert(supports_rank<Kokkos::DynRankView<double>, 1>::value, "rank 1 check of supports_rank for DynRankView");
  static_assert(supports_rank<Kokkos::DynRankView<double>, 2>::value, "rank 2 check of supports_rank for DynRankView");
  static_assert(supports_rank<Kokkos::DynRankView<double>, 3>::value, "rank 3 check of supports_rank for DynRankView");
  static_assert(supports_rank<Kokkos::DynRankView<double>, 4>::value, "rank 4 check of supports_rank for DynRankView");
  static_assert(supports_rank<Kokkos::DynRankView<double>, 5>::value, "rank 5 check of supports_rank for DynRankView");
  static_assert(supports_rank<Kokkos::DynRankView<double>, 6>::value, "rank 6 check of supports_rank for DynRankView");
  static_assert(supports_rank<Kokkos::DynRankView<double>, 7>::value, "rank 7 check of supports_rank for DynRankView");

  // positive checks of supports_rank for Kokkos::View:
  static_assert(supports_rank<Kokkos::View<double*>,       1>::value, "rank 1 check of supports_rank");
  static_assert(supports_rank<Kokkos::View<double**>,      2>::value, "rank 2 check of supports_rank");
  static_assert(supports_rank<Kokkos::View<double***>,     3>::value, "rank 3 check of supports_rank");
  static_assert(supports_rank<Kokkos::View<double****>,    4>::value, "rank 4 check of supports_rank");
  static_assert(supports_rank<Kokkos::View<double*****>,   5>::value, "rank 5 check of supports_rank");
  static_assert(supports_rank<Kokkos::View<double******>,  6>::value, "rank 6 check of supports_rank");
  static_assert(supports_rank<Kokkos::View<double*******>, 7>::value, "rank 7 check of supports_rank");

  // negative checks of supports_rank for Kokkos::View:
  static_assert(!supports_rank<Kokkos::View<double*>,       2>::value, "rank 1 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*>,       3>::value, "rank 1 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*>,       4>::value, "rank 1 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*>,       5>::value, "rank 1 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*>,       6>::value, "rank 1 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*>,       7>::value, "rank 1 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double**>,      1>::value, "rank 2 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double**>,      3>::value, "rank 2 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double**>,      4>::value, "rank 2 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double**>,      5>::value, "rank 2 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double**>,      6>::value, "rank 2 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double**>,      7>::value, "rank 2 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double***>,     1>::value, "rank 3 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double***>,     2>::value, "rank 3 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double***>,     4>::value, "rank 3 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double***>,     5>::value, "rank 3 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double***>,     6>::value, "rank 3 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double***>,     7>::value, "rank 3 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double****>,    1>::value, "rank 4 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double****>,    2>::value, "rank 4 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double****>,    3>::value, "rank 4 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double****>,    5>::value, "rank 4 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double****>,    6>::value, "rank 4 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double****>,    7>::value, "rank 4 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*****>,   1>::value, "rank 5 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*****>,   2>::value, "rank 5 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*****>,   3>::value, "rank 5 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*****>,   4>::value, "rank 5 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*****>,   6>::value, "rank 5 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*****>,   7>::value, "rank 5 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double******>,  1>::value, "rank 6 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double******>,  2>::value, "rank 6 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double******>,  3>::value, "rank 6 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double******>,  4>::value, "rank 6 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double******>,  5>::value, "rank 6 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double******>,  7>::value, "rank 6 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*******>, 1>::value, "rank 7 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*******>, 2>::value, "rank 7 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*******>, 3>::value, "rank 7 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*******>, 4>::value, "rank 7 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*******>, 5>::value, "rank 7 check of supports_rank");
  static_assert(!supports_rank<Kokkos::View<double*******>, 6>::value, "rank 7 check of supports_rank");

  template <typename T>
  class has_rank_method
  {
      typedef char one;
      struct two { char x[2]; };

      template <typename C> static one test( decltype( std::declval<C>().rank()  ) ) ;
      template <typename C> static two test(...);

  public:
      enum { value = sizeof(test<T>(0)) == sizeof(char) };
  };

  static_assert(  has_rank_method<Kokkos::DynRankView<double> >::value, "DynRankView implements rank(), so this assert should pass -- if not, something may be wrong with has_rank_method.");
  static_assert(! has_rank_method<Kokkos::View<double> >::value,        "View does not implement rank() -- if this assert fails, something may be wrong with has_rank_method.");

  template<class Functor>
  enable_if_t<has_rank_method<Functor>::value, unsigned>
  KOKKOS_INLINE_FUNCTION
  getFunctorRank(const Functor &functor)
  {
    return functor.rank();
  }

  template<class Functor>
  enable_if_t<!has_rank_method<Functor>::value, unsigned>
  KOKKOS_INLINE_FUNCTION
  getFunctorRank(const Functor &functor)
  {
    return functor.rank;
  }

#ifdef HAVE_INTREPID2_SACADO
  template <typename ValueType>
  struct NaturalLayoutForType {
    using layout  =
    typename std::conditional<std::is_pod<ValueType>::value,
      Kokkos::LayoutLeft, // for POD types, use LayoutLeft
      Kokkos::LayoutNatural<Kokkos::LayoutLeft> >::type; // For FAD types, use LayoutNatural
  };
#else
  template <typename ValueType>
  struct NaturalLayoutForType {
    using layout  = Kokkos::LayoutLeft;
  };
#endif
  
  // define vector sizes for hierarchical parallelism
  const int VECTOR_SIZE = 1;
#if defined(SACADO_VIEW_CUDA_HIERARCHICAL_DFAD) && defined(INTREPID2_ENABLE_DEVICE)
  const int FAD_VECTOR_SIZE = 32;
#else
  const int FAD_VECTOR_SIZE = 1;
#endif
  
  template<typename Scalar>
  constexpr int getVectorSizeForHierarchicalParallelism()
  {
    return std::is_pod<Scalar>::value ? VECTOR_SIZE : FAD_VECTOR_SIZE;
  }
  
  template<typename ViewType>
  KOKKOS_INLINE_FUNCTION
  constexpr unsigned getScalarDimensionForView(const ViewType &view)
  {
    return (std::is_pod<typename ViewType::value_type>::value) ? 0 : get_dimension_scalar(view);
  }
} // end namespace Intrepid2

#endif