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muSpectre/src/common/T4_map_proxy.hh
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T4_map_proxy.hh
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/**
* file T4_map_proxy.hh
*
* @author Till Junge <till.junge@altermail.ch>
*
* @date 19 Nov 2017
*
* @brief Map type to allow fourth-order tensor-like maps on 2D matrices
*
* @section LICENCE
*
* Copyright (C) 2017 Till Junge
*
* µSpectre is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3, or (at
* your option) any later version.
*
* µSpectre is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with GNU Emacs; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#include <type_traits>
#include <Eigen/Dense>
#include <Eigen/src/Core/util/Constants.h>
#include "common/eigen_tools.hh"
#ifndef T4_MAP_PROXY_H
#define T4_MAP_PROXY_H
namespace muSpectre {
/**
* simple adapter function to create a matrix that can be mapped as a tensor
*/
template <typename T, Dim_t Dim>
using T4Mat = Eigen::Matrix<T, Dim*Dim, Dim*Dim>;
template <typename T, Dim_t Dim, bool ConstMap=false>
using T4MatMap = std::conditional_t<ConstMap,
const Eigen::Map<T4Mat<T, Dim>>,
Eigen::Map<T4Mat<T, Dim>>>;
template <typename T4>
inline decltype(auto) get(T4&& t4, Dim_t i, Dim_t j, Dim_t k, Dim_t l) {
constexpr Dim_t Dim{EigenCheck::Tensor4Dim(t4)};
const auto myColStride{
(t4.colStride() == 1) ? t4.colStride(): t4.colStride()/Dim};
const auto myRowStride{
(t4.rowStride() == 1) ? t4.rowStride(): t4.rowStride()/Dim};
return t4.coeffRef(i * myRowStride + j * myColStride,
k * myRowStride + l * myColStride);
}
/* ---------------------------------------------------------------------- */
/** Proxy class mapping a fourth-order tensor onto a 2D matrix (in
order to avoid the use of Eigen::Tensor. This class is, however
byte-compatible with Tensors (i.e., you can map this onto a
tensor instead of a matrix)
**/
template <typename T, Dim_t Dim, bool MapConst=false, bool Symmetric=false,
int MapOptions=Eigen::Unaligned,
typename StrideType=Eigen::Stride<0, 0>>
class T4Map:
public Eigen::MapBase<T4Map<T, Dim, MapConst, Symmetric,
MapOptions, StrideType>>
{
public:
typedef Eigen::MapBase<T4Map> Base;
EIGEN_DENSE_PUBLIC_INTERFACE(T4Map);
using matrix_type = Eigen::Matrix<T, Dim*Dim, Dim*Dim>;
using PlainObjectType =
std::conditional_t<MapConst,
const matrix_type, matrix_type>;
using ConstType = T4Map<T, Dim, true, Symmetric, MapOptions, StrideType>;
using Base::colStride;
using Base::rowStride;
using Base::IsRowMajor;
typedef typename Base::PointerType PointerType;
typedef PointerType PointerArgType;
using trueScalar = std::conditional_t<MapConst, const Scalar, Scalar>;
EIGEN_DEVICE_FUNC
inline PointerType cast_to_pointer_type(PointerArgType ptr) { return ptr; }
EIGEN_DEVICE_FUNC
inline Eigen::Index innerStride() const
{
return StrideType::InnerStrideAtCompileTime != 0 ? m_stride.inner() : 1;
}
template <class Derived>
inline T4Map & operator=(const Eigen::MatrixBase<Derived> & other) {
this->map = other;
return *this;
}
EIGEN_DEVICE_FUNC
inline Eigen::Index outerStride() const
{
return StrideType::OuterStrideAtCompileTime != 0 ? m_stride.outer()
: IsVectorAtCompileTime ? this->size()
: int(Flags)&Eigen::RowMajorBit ? this->cols()
: this->rows();
}
/** Constructor in the fixed-size case.
*
* \param dataPtr pointer to the array to map
* \param stride optional Stride object, passing the strides.
*/
EIGEN_DEVICE_FUNC
explicit inline T4Map(PointerArgType dataPtr, const StrideType& stride = StrideType())
: Base(cast_to_pointer_type(dataPtr)), m_stride(stride),
map(cast_to_pointer_type(dataPtr))
{
PlainObjectType::Base::_check_template_params();
}
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(T4Map);
/** My accessor to mimick tensorial access
**/
inline const Scalar& operator()(Dim_t i, Dim_t j, Dim_t k, Dim_t l ) const {
const auto myColStride{
(colStride() == 1) ? colStride(): colStride()/Dim};
const auto myRowStride{
(rowStride() == 1) ? rowStride(): rowStride()/Dim};
return this->map.coeff(i * myRowStride + j * myColStride,
k * myRowStride + l * myColStride);
}
inline trueScalar& operator()(Dim_t i, Dim_t j, Dim_t k, Dim_t l ) {
const auto myColStride{
(colStride() == 1) ? colStride(): colStride()/Dim};
const auto myRowStride{
(rowStride() == 1) ? rowStride(): rowStride()/Dim};
return this->map.coeffRef(i * myRowStride + j * myColStride,
k * myRowStride + l * myColStride);
}
protected:
StrideType m_stride;
Eigen::Map<PlainObjectType> map;
};
} // muSpectre
namespace Eigen {
//! forward declarations
template<typename T> struct traits;
/* ---------------------------------------------------------------------- */
namespace internal {
template<typename T, muSpectre::Dim_t Dim, bool MapConst, bool Symmetric,
int MapOptions, typename StrideType>
struct traits<muSpectre::T4Map<T, Dim, MapConst, Symmetric,
MapOptions, StrideType> >
: public traits<Matrix<T, Dim*Dim, Dim*Dim>>
{
using PlainObjectType = Matrix<T, Dim*Dim, Dim*Dim>;
typedef traits<PlainObjectType> TraitsBase;
enum {
InnerStrideAtCompileTime = StrideType::InnerStrideAtCompileTime == 0
? int(PlainObjectType::InnerStrideAtCompileTime)
: int(StrideType::InnerStrideAtCompileTime),
OuterStrideAtCompileTime = StrideType::OuterStrideAtCompileTime == 0
? int(PlainObjectType::OuterStrideAtCompileTime)
: int(StrideType::OuterStrideAtCompileTime),
Alignment = int(MapOptions)&int(AlignedMask),
Flags0 = TraitsBase::Flags & (~NestByRefBit),
Flags = is_lvalue<PlainObjectType>::value ? int(Flags0) : (int(Flags0) & ~LvalueBit)
};
private:
enum { Options }; // Expressions don't have Options
};
} // namespace internal
} // namespace Eigen
#endif /* T4_MAP_PROXY_H */
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