Grid/lib/math/Grid_math_traits.h

#ifndef GRID_MATH_TRAITS_H
#define GRID_MATH_TRAITS_H

#include <type_traits>

namespace Grid {

//////////////////////////////////////////////////////////////////////////////////
// Want to recurse: GridTypeMapper<Matrix<vComplexD> >::scalar_type == ComplexD.
// Use of a helper class like this allows us to template specialise and "dress"
// other classes such as RealD == double, ComplexD == std::complex<double> with these
// traits.
//
// It is possible that we could do this more elegantly if I introduced a 
// queryable trait in iScalar, iMatrix and iVector and used the query on vtype in 
// place of the type mapper?
//
// Not sure how to do this, but probably could be done with a research effort
// to study C++11's type_traits.h file. (std::enable_if<isGridTensorType<vtype> >)
//
//////////////////////////////////////////////////////////////////////////////////
  
  template <class T> class GridTypeMapper {
  public:
    typedef typename T::scalar_type scalar_type;
    typedef typename T::vector_type vector_type;
    typedef typename T::tensor_reduced tensor_reduced;
    typedef typename T::scalar_object scalar_object;
    enum { TensorLevel = T::TensorLevel };
  };

//////////////////////////////////////////////////////////////////////////////////
// Recursion stops with these template specialisations
//////////////////////////////////////////////////////////////////////////////////
  template<> class GridTypeMapper<RealF> {
  public:
    typedef RealF scalar_type;
    typedef RealF vector_type;
    typedef RealF tensor_reduced ;
    typedef RealF scalar_object;
    enum { TensorLevel = 0 };
  };
  template<> class GridTypeMapper<RealD> {
  public:
    typedef RealD scalar_type;
    typedef RealD vector_type;
    typedef RealD tensor_reduced;
    typedef RealD scalar_object;
    enum { TensorLevel = 0 };
  };
  template<> class GridTypeMapper<ComplexF> {
  public:
    typedef ComplexF scalar_type;
    typedef ComplexF vector_type;
    typedef ComplexF tensor_reduced;
    typedef ComplexF scalar_object;
    enum { TensorLevel = 0 };
  };
  template<> class GridTypeMapper<ComplexD> {
  public:
    typedef ComplexD scalar_type;
    typedef ComplexD vector_type;
    typedef ComplexD tensor_reduced;
    typedef ComplexD scalar_object;
    enum { TensorLevel = 0 };
  };
  template<> class GridTypeMapper<Integer> {
  public:
    typedef Integer scalar_type;
    typedef Integer vector_type;
    typedef Integer tensor_reduced;
    typedef Integer scalar_object;
    enum { TensorLevel = 0 };
  };

  template<> class GridTypeMapper<vRealF> {
  public:
    typedef RealF  scalar_type;
    typedef vRealF vector_type;
    typedef vRealF tensor_reduced;
    typedef RealF  scalar_object;
    enum { TensorLevel = 0 };
  };
  template<> class GridTypeMapper<vRealD> {
  public:
    typedef RealD  scalar_type;
    typedef vRealD vector_type;
    typedef vRealD tensor_reduced;
    typedef RealD  scalar_object;
    enum { TensorLevel = 0 };
  };
  template<> class GridTypeMapper<vComplexF> {
  public:
    typedef ComplexF  scalar_type;
    typedef vComplexF vector_type;
    typedef vComplexF tensor_reduced;
    typedef ComplexF  scalar_object;
    enum { TensorLevel = 0 };
  };
  template<> class GridTypeMapper<vComplexD> {
  public:
    typedef ComplexD  scalar_type;
    typedef vComplexD vector_type;
    typedef vComplexD tensor_reduced;
    typedef ComplexD  scalar_object;
    enum { TensorLevel = 0 };
  };
  template<> class GridTypeMapper<vInteger> {
  public:
    typedef  Integer scalar_type;
    typedef vInteger vector_type;
    typedef vInteger tensor_reduced;
    typedef  Integer scalar_object;
    enum { TensorLevel = 0 };
  };

  // First some of my own traits
  template<typename T> struct isGridTensor {
    static const bool value = true;
    static const bool notvalue = false;
  };

  template<> struct isGridTensor<int > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<RealD > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<RealF > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<ComplexD > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<ComplexF > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<Integer > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<vRealD > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<vRealF > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<vComplexD > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<vComplexF > {
    static const bool value = false;
    static const bool notvalue = true;
  };
  template<> struct isGridTensor<vInteger > {
    static const bool value = false;
    static const bool notvalue = true;
  };

  // Match the index
  template<typename T,int Level> struct matchGridTensorIndex {
    static const bool value = (Level==T::TensorLevel);
    static const bool notvalue = (Level!=T::TensorLevel);
  };
  // What is the vtype
  template<typename T> struct isComplex {
    static const bool value = false;
  };
  template<> struct isComplex<ComplexF> {
    static const bool value = true;
  };
  template<> struct isComplex<ComplexD> {
    static const bool value = true;
  };


}

#endif