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/**
* @file field.hh
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 07 Sep 2017
*
* @brief header-only implementation of a field for field collections
*
* Copyright © 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.
*/
#ifndef FIELD_H
#define FIELD_H
#include "common/T4_map_proxy.hh"
#include "field_typed.hh"
#include <Eigen/Dense>
#include <string>
#include <sstream>
#include <utility>
#include <typeinfo>
#include <vector>
#include <algorithm>
#include <cmath>
#include <memory>
#include <type_traits>
namespace muSpectre {
namespace internal {
/* ---------------------------------------------------------------------- */
//! declaraton for friending
template <class FieldCollection, typename T, Dim_t NbComponents, bool isConst>
class FieldMap;
/* ---------------------------------------------------------------------- */
/**
* A `TypedSizedFieldBase` is the base class for fields that contain a
* statically known number of scalars of a statically known type per pixel
* in a `FieldCollection`. The actual data for all pixels is
* stored in `TypedSizeFieldBase::values`.
* `TypedSizedFieldBase` is the base class for `MatrixField` and
* `TensorField`.
*/
template <class FieldCollection, typename T, Dim_t NbComponents>
class TypedSizedFieldBase: public TypedField<FieldCollection, T>
{
friend class FieldMap<FieldCollection, T, NbComponents, true>;
friend class FieldMap<FieldCollection, T, NbComponents, false>;
public:
//! for compatibility checks
constexpr static auto nb_components{NbComponents};
using Parent = TypedField<FieldCollection, T>; //!< base class
using Scalar = T; //!< for type checking
using Base = typename Parent::Base; //!< root base class
//! type stored if ArrayStore is true
using Stored_t = Eigen::Array<T, NbComponents, 1>;
//! storage container
using Storage_t = typename Parent::Storage_t;
//! Plain type that is being mapped (Eigen lingo)
using EigenRep_t = Eigen::Array<T, NbComponents, Eigen::Dynamic>;
//! maps returned when iterating over field
using EigenMap_t = Eigen::Map<EigenRep_t>;
//! maps returned when iterating over field
using ConstEigenMap_t = Eigen::Map<const EigenRep_t>;
//! constructor
TypedSizedFieldBase(std::string unique_name,
FieldCollection& collection);
virtual ~TypedSizedFieldBase() = default;
//! add a new value at the end of the field
inline void push_back(const Stored_t & value);
//! add a new scalar value at the end of the field
template <bool scalar_store = NbComponents==1>
inline std::enable_if_t<scalar_store>
push_back(const T & value);
/**
* returns an upcasted reference to a field, or throws an
* exception if the field is incompatible
*/
static TypedSizedFieldBase & check_ref(Base & other);
/**
* returns an upcasted reference to a field, or throws an
* exception if the field is incompatible
*/
static const TypedSizedFieldBase & check_ref(const Base & other);
//! return a map representing the entire field as a single `Eigen::Array`
inline EigenMap_t eigen();
//! return a map representing the entire field as a single `Eigen::Array`
inline ConstEigenMap_t eigen() const;
/**
* return a map representing the entire field as a single
* dynamically sized `Eigen::Array` (for python bindings)
*/
inline typename Parent::EigenMap_t dyn_eigen() {return Parent::eigen();}
//! inner product between compatible fields
template <typename T2>
inline Real inner_product(const TypedSizedFieldBase<
FieldCollection, T2, NbComponents> & other) const;
protected:
//! returns a raw pointer to the entry, for `Eigen::Map`
inline T* get_ptr_to_entry(const size_t&& index);
//! returns a raw pointer to the entry, for `Eigen::Map`
inline const T*
get_ptr_to_entry(const size_t&& index) const;
};
} // internal
/* ---------------------------------------------------------------------- */
/**
* The `TensorField` is a subclass of `muSpectre::internal::TypedSizedFieldBase`
* that represents tensorial fields, i.e. arbitrary-dimensional arrays with
* identical number of rows/columns (that typically correspond to the spatial
* cartesian dimensions). It is defined by the stored scalar type @a T, the
* tensorial order @a order (often also called degree or rank) and the
* number of spatial dimensions @a dim.
*/
template <class FieldCollection, typename T, Dim_t order, Dim_t dim>
class TensorField: public internal::TypedSizedFieldBase<FieldCollection,
T,
ipow(dim,order)>
{
public:
//! base class
using Parent = internal::TypedSizedFieldBase<FieldCollection,
T,
ipow(dim,order)>;
using Base = typename Parent::Base; //!< root base class
//! polymorphic base class
using Field_p = typename FieldCollection::Field_p;
using Scalar = typename Parent::Scalar; //!< for type checking
//! Copy constructor
TensorField(const TensorField &other) = delete;
//! Move constructor
TensorField(TensorField &&other) = delete;
//! Destructor
virtual ~TensorField() = default;
//! Copy assignment operator
TensorField& operator=(const TensorField &other) = delete;
//! Move assignment operator
TensorField& operator=(TensorField &&other) = delete;
//! return the order of the stored tensor
inline Dim_t get_order() const;
//! return the dimension of the stored tensor
inline Dim_t get_dim() const;
//! factory function
template <class FieldType, class CollectionType, typename... Args>
friend FieldType& make_field(std::string unique_name,
CollectionType & collection,
Args&&... args);
//! return a reference or throw an exception if `other` is incompatible
static TensorField & check_ref(Base & other) {
return static_cast<TensorField &>(Parent::check_ref(other));}
//! return a reference or throw an exception if `other` is incompatible
static const TensorField & check_ref(const Base & other) {
return static_cast<const TensorField &>(Parent::check_ref(other));}
/**
* Convenience functions to return a map onto this field. A map allows
* iteration over all pixels. The map's iterator returns an object that
* represents the underlying mathematical structure of the field and
* implements common linear algebra operations on it.
* Specifically, this function returns
* - A `MatrixFieldMap` with @a dim rows and one column if the tensorial
* order @a order is unity.
* - A `MatrixFieldMap` with @a dim rows and @a dim columns if the tensorial
* order @a order is 2.
* - A `T4MatrixFieldMap` if the tensorial order is 4.
*/
decltype(auto) get_map();
/**
* Convenience functions to return a map onto this field. A map allows
* iteration over all pixels. The map's iterator returns an object that
* represents the underlying mathematical structure of the field and
* implements common linear algebra operations on it.
* Specifically, this function returns
* - A `MatrixFieldMap` with @a dim rows and one column if the tensorial
* order @a order is unity.
* - A `MatrixFieldMap` with @a dim rows and @a dim columns if the tensorial
* order @a order is 2.
* - A `T4MatrixFieldMap` if the tensorial order is 4.
*/
decltype(auto) get_const_map();
/**
* Convenience functions to return a map onto this field. A map allows
* iteration over all pixels. The map's iterator returns an object that
* represents the underlying mathematical structure of the field and
* implements common linear algebra operations on it.
* Specifically, this function returns
* - A `MatrixFieldMap` with @a dim rows and one column if the tensorial
* order @a order is unity.
* - A `MatrixFieldMap` with @a dim rows and @a dim columns if the tensorial
* order @a order is 2.
* - A `T4MatrixFieldMap` if the tensorial order is 4.
*/
decltype(auto) get_map() const;
protected:
//! constructor protected!
TensorField(std::string unique_name, FieldCollection & collection);
private:
};
/* ---------------------------------------------------------------------- */
/**
* The `MatrixField` is subclass of `muSpectre::internal::TypedSizedFieldBase`
* that represents matrix fields, i.e. a two dimensional arrays, defined by
* the stored scalar type @a T and the number of rows @a NbRow and columns
* @a NbCol of the matrix.
*/
template <class FieldCollection, typename T, Dim_t NbRow, Dim_t NbCol=NbRow>
class MatrixField: public internal::TypedSizedFieldBase<FieldCollection,
T,
NbRow*NbCol>
{
public:
//! base class
using Parent = internal::TypedSizedFieldBase<FieldCollection,
T,
NbRow*NbCol>;
using Base = typename Parent::Base; //!< root base class
//! polymorphic base field ptr to store
using Field_p = std::unique_ptr<internal::FieldBase<FieldCollection>>;
//! Copy constructor
MatrixField(const MatrixField &other) = delete;
//! Move constructor
MatrixField(MatrixField &&other) = delete;
//! Destructor
virtual ~MatrixField() = default;
//! Copy assignment operator
MatrixField& operator=(const MatrixField &other) = delete;
//! Move assignment operator
MatrixField& operator=(MatrixField &&other) = delete;
//! returns the number of rows
inline Dim_t get_nb_row() const;
//! returns the number of columns
inline Dim_t get_nb_col() const;
//! factory function
template <class FieldType, class CollectionType, typename... Args>
friend FieldType& make_field(std::string unique_name,
CollectionType & collection,
Args&&... args);
//! returns a `MatrixField` reference if `other` is a compatible field
static MatrixField & check_ref(Base & other) {
return static_cast<MatrixField &>(Parent::check_ref(other));}
//! returns a `MatrixField` reference if `other` is a compatible field
static const MatrixField & check_ref(const Base & other) {
return static_cast<const MatrixField &>(Parent::check_ref(other));}
/**
* Convenience functions to return a map onto this field. A map allows
* iteration over all pixels. The map's iterator returns an object that
* represents the underlying mathematical structure of the field and
* implements common linear algebra operations on it.
* Specifically, this function returns
* - A `ScalarFieldMap` if @a NbRows and @a NbCols are unity.
* - A `MatrixFieldMap` with @a NbRows rows and @a NbCols columns
* otherwise.
*/
decltype(auto) get_map();
/**
* Convenience functions to return a map onto this field. A map allows
* iteration over all pixels. The map's iterator returns an object that
* represents the underlying mathematical structure of the field and
* implements common linear algebra operations on it.
* Specifically, this function returns
* - A `ScalarFieldMap` if @a NbRows and @a NbCols are unity.
* - A `MatrixFieldMap` with @a NbRows rows and @a NbCols columns
* otherwise.
*/
decltype(auto) get_const_map();
/**
* Convenience functions to return a map onto this field. A map allows
* iteration over all pixels. The map's iterator returns an object that
* represents the underlying mathematical structure of the field and
* implements common linear algebra operations on it.
* Specifically, this function returns
* - A `ScalarFieldMap` if @a NbRows and @a NbCols are unity.
* - A `MatrixFieldMap` with @a NbRows rows and @a NbCols columns
* otherwise.
*/
decltype(auto) get_map() const;
protected:
//! constructor protected!
MatrixField(std::string unique_name, FieldCollection & collection);
private:
};
/* ---------------------------------------------------------------------- */
//! convenience alias (
template <class FieldCollection, typename T>
using ScalarField = MatrixField<FieldCollection, T, 1, 1>;
/* ---------------------------------------------------------------------- */
// Implementations
/* ---------------------------------------------------------------------- */
namespace internal {
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
TypedSizedFieldBase<FieldCollection, T, NbComponents>::
TypedSizedFieldBase(std::string unique_name, FieldCollection & collection)
:Parent(unique_name, collection, NbComponents){
static_assert
((std::is_arithmetic<T>::value ||
std::is_same<T, Complex>::value),
"Use TypedSizedFieldBase for integer, real or complex scalars for T");
static_assert(NbComponents > 0,
"Only fields with more than 0 components");
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
TypedSizedFieldBase<FieldCollection, T, NbComponents> &
TypedSizedFieldBase<FieldCollection, T, NbComponents>::
check_ref(Base & other) {
if (typeid(T).hash_code() != other.get_stored_typeid().hash_code()) {
std::string err ="Cannot create a Reference of requested type " +(
"for field '" + other.get_name() + "' of type '" +
other.get_stored_typeid().name() + "'");
throw std::runtime_error
(err);
}
//check size compatibility
if (NbComponents != other.get_nb_components()) {
throw std::runtime_error
("Cannot create a Reference to a field with " +
std::to_string(NbComponents) + " components " +
"for field '" + other.get_name() + "' with " +
std::to_string(other.get_nb_components()) + " components");
}
return static_cast<TypedSizedFieldBase&>(other);
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
const TypedSizedFieldBase<FieldCollection, T, NbComponents> &
TypedSizedFieldBase<FieldCollection, T, NbComponents>::
check_ref(const Base & other) {
if (typeid(T).hash_code() != other.get_stored_typeid().hash_code()) {
std::stringstream err_str{};
err_str << "Cannot create a Reference of requested type "
<< "for field '" << other.get_name() << "' of type '"
<< other.get_stored_typeid().name() << "'";
throw std::runtime_error
(err_str.str());
}
//check size compatibility
if (NbComponents != other.get_nb_components()) {
throw std::runtime_error
("Cannot create a Reference to a field with " +
std::to_string(NbComponents) + " components " +
"for field '" + other.get_name() + "' with " +
std::to_string(other.get_nb_components()) + " components");
}
return static_cast<const TypedSizedFieldBase&>(other);
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
auto TypedSizedFieldBase<FieldCollection, T, NbComponents>::
eigen() -> EigenMap_t{
return EigenMap_t(this->data(), NbComponents, this->size());
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
auto TypedSizedFieldBase<FieldCollection, T, NbComponents>::
eigen() const -> ConstEigenMap_t{
return ConstEigenMap_t(this->data(), NbComponents, this->size());
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
template <typename otherT>
Real
TypedSizedFieldBase<FieldCollection, T, NbComponents>::
inner_product(const TypedSizedFieldBase<FieldCollection, otherT, NbComponents> & other) const {
return (this->eigen() * other.eigen()).sum();
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
T* TypedSizedFieldBase<FieldCollection, T, NbComponents>::
get_ptr_to_entry(const size_t&& index) {
return this->data_ptr + NbComponents*std::move(index);
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
const T* TypedSizedFieldBase<FieldCollection, T, NbComponents>::
get_ptr_to_entry(const size_t&& index) const {
return this->data_ptr + NbComponents*std::move(index);
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
void TypedSizedFieldBase<FieldCollection, T, NbComponents>::
push_back(const Stored_t & value) {
static_assert (not FieldCollection::Global,
"You can only push_back data into local field "
"collections");
for (Dim_t i = 0; i < NbComponents; ++i) {
this->values.push_back(value(i));
}
++this->current_size;
this->data_ptr = &this->values.front();
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbComponents>
template <bool scalar_store>
std::enable_if_t<scalar_store>
TypedSizedFieldBase<FieldCollection, T, NbComponents>::
push_back(const T & value) {
static_assert(scalar_store, "SFINAE");
this->values.push_back(value);
++this->current_size;
this->data_ptr = &this->values.front();
}
} // internal
/* ---------------------------------------------------------------------- */
//! Factory function, guarantees that only fields get created that are
//! properly registered and linked to a collection.
template <class FieldType, class FieldCollection, typename... Args>
inline FieldType &
make_field(std::string unique_name,
FieldCollection & collection,
Args&&... args) {
std::unique_ptr<FieldType> ptr{
new FieldType(unique_name, collection, args...)};
auto& retref{*ptr};
collection.register_field(std::move(ptr));
return retref;
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t order, Dim_t dim>
TensorField<FieldCollection, T, order, dim>::
TensorField(std::string unique_name, FieldCollection & collection)
:Parent(unique_name, collection) {}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t order, Dim_t dim>
Dim_t TensorField<FieldCollection, T, order, dim>::
get_order() const {
return order;
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t order, Dim_t dim>
Dim_t TensorField<FieldCollection, T, order, dim>::
get_dim() const {
return dim;
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbRow, Dim_t NbCol>
MatrixField<FieldCollection, T, NbRow, NbCol>::
MatrixField(std::string unique_name, FieldCollection & collection)
:Parent(unique_name, collection) {}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbRow, Dim_t NbCol>
Dim_t MatrixField<FieldCollection, T, NbRow, NbCol>::
get_nb_col() const {
return NbCol;
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbRow, Dim_t NbCol>
Dim_t MatrixField<FieldCollection, T, NbRow, NbCol>::
get_nb_row() const {
return NbRow;
}
} // muSpectre
#include "common/field_map.hh"
namespace muSpectre {
namespace internal {
/* ---------------------------------------------------------------------- */
/**
* defines the default mapped type obtained when calling
* `muSpectre::TensorField::get_map()`
*/
template <class FieldCollection, typename T, size_t order, Dim_t dim,
bool ConstMap>
struct tensor_map_type {
};
/// specialisation for vectors
template <class FieldCollection, typename T, Dim_t dim, bool ConstMap>
struct tensor_map_type<FieldCollection, T, firstOrder, dim, ConstMap> {
//! use this type
using type = MatrixFieldMap<FieldCollection, T, dim, 1, ConstMap>;
};
/// specialisation to second-order tensors (matrices)
template <class FieldCollection, typename T, Dim_t dim, bool ConstMap>
struct tensor_map_type<FieldCollection, T, secondOrder, dim, ConstMap> {
//! use this type
using type = MatrixFieldMap<FieldCollection, T, dim, dim, ConstMap>;
};
/// specialisation to fourth-order tensors
template <class FieldCollection, typename T, Dim_t dim, bool ConstMap>
struct tensor_map_type<FieldCollection, T, fourthOrder, dim, ConstMap> {
//! use this type
using type = T4MatrixFieldMap<FieldCollection, T, dim, ConstMap>;
};
/* ---------------------------------------------------------------------- */
/**
* defines the default mapped type obtained when calling
* `muSpectre::MatrixField::get_map()`
*/
template <class FieldCollection, typename T, Dim_t NbRow, Dim_t NbCol,
bool ConstMap>
struct matrix_map_type {
//! mapping type
using type =
MatrixFieldMap<FieldCollection, T, NbRow, NbCol, ConstMap>;
};
//! specialisation to scalar fields
template <class FieldCollection, typename T, bool ConstMap>
struct matrix_map_type<FieldCollection, T, oneD, oneD, ConstMap> {
//! mapping type
using type = ScalarFieldMap<FieldCollection, T, ConstMap>;
};
} // internal
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t order, Dim_t dim>
decltype(auto) TensorField<FieldCollection, T, order, dim>::
get_map() {
constexpr bool map_constness{false};
using RawMap_t =
typename internal::tensor_map_type<FieldCollection, T, order, dim,
map_constness>::type;
return RawMap_t(*this);
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t order, Dim_t dim>
decltype(auto) TensorField<FieldCollection, T, order, dim>::
get_const_map() {
constexpr bool map_constness{true};
using RawMap_t =
typename internal::tensor_map_type<FieldCollection, T, order, dim,
map_constness>::type;
return RawMap_t(*this);
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t order, Dim_t dim>
decltype(auto) TensorField<FieldCollection, T, order, dim>::
get_map() const {
constexpr bool map_constness{true};
using RawMap_t =
typename internal::tensor_map_type<FieldCollection, T, order, dim,
map_constness>::type;
return RawMap_t(*this);
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbRow, Dim_t NbCol>
decltype(auto) MatrixField<FieldCollection, T, NbRow, NbCol>::
get_map() {
constexpr bool map_constness{false};
using RawMap_t =
typename internal::matrix_map_type<FieldCollection, T, NbRow, NbCol,
map_constness>::type;
return RawMap_t(*this);
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbRow, Dim_t NbCol>
decltype(auto) MatrixField<FieldCollection, T, NbRow, NbCol>::
get_const_map() {
constexpr bool map_constness{true};
using RawMap_t =
typename internal::matrix_map_type<FieldCollection, T, NbRow, NbCol,
map_constness>::type;
return RawMap_t(*this);
}
/* ---------------------------------------------------------------------- */
template <class FieldCollection, typename T, Dim_t NbRow, Dim_t NbCol>
decltype(auto) MatrixField<FieldCollection, T, NbRow, NbCol>::
get_map() const {
constexpr bool map_constness{true};
using RawMap_t =
typename internal::matrix_map_type<FieldCollection, T, NbRow, NbCol,
map_constness>::type;
return RawMap_t(*this);
}
} // muSpectre
#endif /* FIELD_H */
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