/usr/include/dune/localfunctions/utility/tensor.hh is in libdune-localfunctions-dev 2.4.1-1.
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// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_TENSOR_HH
#define DUNE_TENSOR_HH
#include <ostream>
#include <vector>
#include <dune/common/fvector.hh>
#include <dune/localfunctions/utility/field.hh>
namespace Dune
{
/***********************************************
* The classes here are work in progress.
* Basically they provide tensor structures for
* higher order derivatives of vector valued function.
* Two storage structures are provided
* (either based on the components of the vector valued
* functions or on the order of the derivative).
* Conversions are supplied between the two storage
* structures and simple operations, which make the
* code difficult to use and requires rewritting...
***************************************************/
// Structure for scalar tensor of order deriv
template <class F,int dimD,unsigned int deriv>
class LFETensor
{
typedef LFETensor<F,dimD,deriv> This;
typedef LFETensor<F,dimD-1,deriv> BaseDim;
typedef LFETensor<F,dimD,deriv-1> BaseDeriv;
public:
typedef F field_type;
static const unsigned int size = BaseDim::size+BaseDeriv::size;
typedef Dune::FieldVector<F,size> Block;
template< class FF >
This &operator= ( const FF &f )
{
block() = field_cast< F >( f );
return *this;
}
This &operator= ( const Block &b )
{
block() = b;
return *this;
}
This &operator*= ( const field_type &f )
{
block() *= f;
return *this;
}
const field_type &operator[] ( const unsigned int i ) const
{
return block()[ i ];
}
field_type &operator[] ( const unsigned int i )
{
return block()[ i ];
}
Block &block()
{
return block_;
}
const Block &block() const
{
return block_;
}
void axpy(const F& a, const This &y)
{
block().axpy(a,y.block());
}
template <class Fy>
void assign(const LFETensor<Fy,dimD,deriv> &y)
{
field_cast(y.block(),block());
}
Block block_;
};
// ******************************************
template <class F,unsigned int deriv>
struct LFETensor<F,0,deriv>
{
static const int size = 0;
};
template <class F>
struct LFETensor<F,0,0>
{
static const int size = 1;
};
template <class F,int dimD>
class LFETensor<F,dimD,0>
{
typedef LFETensor<F,dimD,0> This;
public:
typedef F field_type;
static const int size = 1;
typedef Dune::FieldVector<F,size> Block;
template< class FF >
This &operator= ( const FF &f )
{
block() = field_cast< F >( f );
return *this;
}
This &operator= ( const Block &b )
{
block() = b;
return *this;
}
This &operator*= ( const field_type &f )
{
block() *= f;
return *this;
}
const F &operator[] ( const unsigned int i ) const
{
return block()[ i ];
}
F &operator[] ( const unsigned int i )
{
return block()[ i ];
}
void axpy(const F& a, const This &y)
{
block().axpy(a,y.block());
}
template <class Fy>
void assign(const LFETensor<Fy,dimD,0> &y)
{
field_cast(y.block(),block());
}
Block &block()
{
return block_;
}
const Block &block() const
{
return block_;
}
Block block_;
};
// ***********************************************************
// Structure for all derivatives up to order deriv
// for vector valued function
enum DerivativeLayout {value,derivative};
template <class F,int dimD,int dimR,unsigned int deriv,
DerivativeLayout layout>
struct Derivatives;
// Implemnetation for valued based layout
template <class F,int dimD,int dimR,unsigned int deriv>
struct Derivatives<F,dimD,dimR,deriv,value>
: public Derivatives<F,dimD,dimR,deriv-1,value>
{
typedef Derivatives<F,dimD,dimR,deriv,value> This;
typedef Derivatives<F,dimD,dimR,deriv-1,value> Base;
typedef LFETensor<F,dimD,deriv> ThisLFETensor;
typedef F Field;
typedef F field_type;
static const DerivativeLayout layout = value;
static const unsigned int dimDomain = dimD;
static const unsigned int dimRange = dimR;
// size needs to be an anonymous enum value for gcc 3.4 compatibility
enum { size = Base::size+ThisLFETensor::size*dimR };
typedef Dune::FieldVector<F,size> Block;
This &operator=(const F& f)
{
block() = f;
return *this;
}
This &operator=(const Dune::FieldVector<ThisLFETensor,dimR> &t)
{
tensor_ = t;
return *this;
}
template <unsigned int dorder>
This &operator=(const Dune::FieldVector<LFETensor<F,dimD,dorder>,dimR> &t)
{
tensor<dorder>() = t;
return *this;
}
This &operator=(const Block &t)
{
block() = t;
return *this;
}
This &operator*= ( const field_type &f )
{
block() *= f;
return *this;
}
void axpy(const F &a, const This &y)
{
block().axpy(a,y.block());
}
// assign with same layout (only diffrent Field)
template <class Fy>
void assign(const Derivatives<Fy,dimD,dimR,deriv,value> &y)
{
field_cast(y.block(),block());
}
// assign with diffrent layout (same dimRange)
template <class Fy>
void assign(const Derivatives<Fy,dimD,dimR,deriv,derivative> &y)
{
Base::assign(y);
for (int rr=0; rr<dimR; ++rr)
tensor_[rr] = y[rr].template tensor<deriv>()[0];
}
// assign with rth component of function
template <class Fy,int dimRy>
void assign(const Derivatives<Fy,dimD,dimRy,deriv,value> &y,unsigned int r)
{
assign<Fy,dimRy>(y.block(),r);
}
// assign with scalar functions to component r
template <class Fy>
void assign(unsigned int r,const Derivatives<Fy,dimD,1,deriv,value> &y)
{
assign(r,y.block());
}
template <class Fy>
void assign(unsigned int r,const Derivatives<Fy,dimD,1,deriv,derivative> &y)
{
assign(r,y[0]);
}
Block &block()
{
return reinterpret_cast<Block&>(*this);
}
const Block &block() const
{
return reinterpret_cast<const Block&>(*this);
}
template <unsigned int dorder>
const Dune::FieldVector<LFETensor<F,dimD,dorder>,dimR> &tensor() const
{
// use integral_constant<int,...> here to stay compatible with Int2Type
const integral_constant<int,dorder> a = {};
return tensor(a);
}
template <unsigned int dorder>
Dune::FieldVector<LFETensor<F,dimD,dorder>,dimR> &tensor()
{
// use integral_constant<int,...> here to stay compatible with Int2Type
return tensor(integral_constant<int,dorder>());
}
template <unsigned int dorder>
const Dune::FieldVector<F,LFETensor<F,dimD,dorder>::size*dimR> &block() const
{
// use integral_constant<int,...> here to stay compatible with Int2Type
const integral_constant<int,dorder> a = {};
return reinterpret_cast<const Dune::FieldVector<F,LFETensor<F,dimD,dorder>::size*dimR>&>(tensor(a));
}
template <unsigned int dorder>
Dune::FieldVector<F,LFETensor<F,dimD,dorder>::size*dimR> &block()
{
// use integral_constant<int,...> here to stay compatible with Int2Type
const integral_constant<int,dorder> a = {};
return reinterpret_cast<Dune::FieldVector<F,LFETensor<F,dimD,dorder>::size*dimR>&>(tensor(a));
}
ThisLFETensor &operator[](int r) {
return tensor_[r];
}
const ThisLFETensor &operator[](int r) const {
return tensor_[r];
}
protected:
template <class Fy,int dimRy>
void assign(const FieldVector<Fy,size*dimRy> &y,unsigned int r)
{
Base::template assign<Fy,dimRy>(reinterpret_cast<const FieldVector<Fy,Base::size*dimRy>&>(y),r);
tensor_[0] = reinterpret_cast<const FieldVector<Fy,ThisLFETensor::size>&>(y[Base::size*dimRy+r*ThisLFETensor::size]);
}
template <class Fy>
void assign(unsigned int r,const FieldVector<Fy,size/dimR> &y)
{
Base::assign(r,reinterpret_cast<const FieldVector<Fy,Base::size/dimR>&>(y));
tensor_[r] = reinterpret_cast<const FieldVector<Fy,ThisLFETensor::size>&>(y[Base::size/dimR]);
}
// assign with diffrent layout (same dimRange)
template <class Fy,unsigned int dy>
void assign(const Derivatives<Fy,dimD,dimR,dy,derivative> &y)
{
Base::assign(y);
for (int rr=0; rr<dimR; ++rr)
tensor_[rr] = y[rr].template tensor<deriv>()[0];
}
template <int dorder>
const Dune::FieldVector<LFETensor<F,dimD,dorder>,dimR> &
tensor(const integral_constant<int,dorder> &dorderVar) const
{
return Base::tensor(dorderVar);
}
const Dune::FieldVector<LFETensor<F,dimD,deriv>,dimR> &
tensor(const integral_constant<int,deriv> &dorderVar) const
{
return tensor_;
}
template <int dorder>
Dune::FieldVector<LFETensor<F,dimD,dorder>,dimR> &
tensor(const integral_constant<int,dorder> &dorderVar)
{
return Base::tensor(dorderVar);
}
Dune::FieldVector<LFETensor<F,dimD,deriv>,dimR> &
tensor(const integral_constant<int,deriv> &dorderVar)
{
return tensor_;
}
Dune::FieldVector<ThisLFETensor,dimR> tensor_;
};
template <class F,int dimD,int dimR>
struct Derivatives<F,dimD,dimR,0,value>
{
typedef Derivatives<F,dimD,dimR,0,value> This;
typedef LFETensor<F,dimD,0> ThisLFETensor;
typedef F Field;
typedef F field_type;
static const DerivativeLayout layout = value;
static const unsigned int dimDomain = dimD;
static const unsigned int dimRange = dimR;
// size needs to be an anonymous enum value for gcc 3.4 compatibility
enum { size = ThisLFETensor::size*dimR };
typedef Dune::FieldVector<F,size> Block;
template <class FF>
This &operator=(const FF& f)
{
for (int r=0; r<dimR; ++r)
tensor_[r] = field_cast<F>(f);
return *this;
}
This &operator=(const Dune::FieldVector<ThisLFETensor,dimR> &t)
{
tensor_ = t;
return *this;
}
This &operator=(const Block &t)
{
block() = t;
return *this;
}
This &operator*= ( const field_type &f )
{
block() *= f;
return *this;
}
void axpy(const F &a, const This &y)
{
block().axpy(a,y.block());
}
template <class Fy>
void assign(const Derivatives<Fy,dimD,dimR,0,value> &y)
{
field_cast(y.block(),block());
}
template <class Fy>
void assign(const Derivatives<Fy,dimD,dimR,0,derivative> &y)
{
for (int rr=0; rr<dimR; ++rr)
tensor_[rr] = y[rr].template tensor<0>()[0];
}
template <class Fy,int dimRy>
void assign(const Derivatives<Fy,dimD,dimRy,0,value> &y,unsigned int r)
{
assign<Fy,dimRy>(y.block(),r);
}
template <class Fy>
void assign(unsigned int r,const Derivatives<Fy,dimD,1,0,value> &y)
{
tensor_[r].assign(y[0]);
}
template <class Fy>
void assign(unsigned int r,const Derivatives<Fy,dimD,1,0,derivative> &y)
{
tensor_[r].assign(y[0][0]);
}
Block &block()
{
return reinterpret_cast<Block&>(*this);
}
const Block &block() const
{
return reinterpret_cast<const Block&>(*this);
}
ThisLFETensor &operator[](int r) {
return tensor_[r];
}
const ThisLFETensor &operator[](int r) const {
return tensor_[r];
}
template <int dorder>
const Dune::FieldVector<LFETensor<F,dimD,0>,dimR> &tensor() const
{
return tensor_;
}
Dune::FieldVector<LFETensor<F,dimD,0>,dimR> &tensor()
{
return tensor_;
}
template <unsigned int dorder>
const Dune::FieldVector<F,LFETensor<F,dimD,dorder>::size*dimR> &block() const
{
// use integral_constant<int,...> here to stay compatible with Int2Type
const integral_constant<int,dorder> a = {};
return reinterpret_cast<const Dune::FieldVector<F,LFETensor<F,dimD,dorder>::size*dimR>&>(tensor(a));
}
template <unsigned int dorder>
Dune::FieldVector<F,LFETensor<F,dimD,dorder>::size*dimR> &block()
{
// use integral_constant<int,...> here to stay compatible with Int2Type
const integral_constant<int,dorder> a = {};
return reinterpret_cast<Dune::FieldVector<F,LFETensor<F,dimD,dorder>::size*dimR>&>(tensor(a));
}
protected:
const Dune::FieldVector<LFETensor<F,dimD,0>,dimR> &
tensor(const integral_constant<int,0> &dorderVar) const
{
return tensor_;
}
Dune::FieldVector<LFETensor<F,dimD,0>,dimR> &
tensor(const integral_constant<int,0> &dorderVar)
{
return tensor_;
}
template <class Fy,unsigned int dy>
void assign(const Derivatives<Fy,dimD,dimR,dy,derivative> &y)
{
for (int rr=0; rr<dimR; ++rr)
tensor_[rr] = y[rr].template tensor<0>()[0];
}
template <class Fy,int dimRy>
void assign(const FieldVector<Fy,size*dimRy> &y,unsigned int r)
{
tensor_[0] = reinterpret_cast<const FieldVector<Fy,ThisLFETensor::size>&>(y[r*ThisLFETensor::size]);
}
template <class Fy>
void assign(unsigned int r,const FieldVector<Fy,size/dimR> &y)
{
tensor_[r] = y;
}
Dune::FieldVector<ThisLFETensor,dimR> tensor_;
};
// Implemnetation for derivative based layout
template <class F,int dimD,int dimR,unsigned int deriv>
struct Derivatives<F,dimD,dimR,deriv,derivative>
{
typedef Derivatives<F,dimD,dimR,deriv,derivative> This;
typedef Derivatives<F,dimD,1,deriv,value> ScalarDeriv;
typedef F Field;
typedef F field_type;
static const DerivativeLayout layout = value;
static const unsigned int dimDomain = dimD;
static const unsigned int dimRange = dimR;
// size needs to be an anonymous enum value for gcc 3.4 compatibility
enum { size = ScalarDeriv::size*dimR };
typedef Dune::FieldVector<F,size> Block;
template <class FF>
This &operator=(const FF& f)
{
block() = field_cast<F>(f);
return *this;
}
This &operator=(const Block &t)
{
block() = t;
return *this;
}
This &operator*= ( const field_type &f )
{
block() *= f;
return *this;
}
template <class FF>
void axpy(const FF &a, const This &y)
{
block().axpy(field_cast<F>(a),y.block());
}
// assign with same layout (only diffrent Field)
template <class Fy>
void assign(const Derivatives<Fy,dimD,dimR,deriv,derivative> &y)
{
field_cast(y.block(),block());
}
// assign with diffrent layout (same dimRange)
template <class Fy>
void assign(const Derivatives<Fy,dimD,dimR,deriv,value> &y)
{
for (unsigned int rr=0; rr<dimR; ++rr)
deriv_[rr].assign(y,rr);
}
// assign with scalar functions to component r
template <class Fy,DerivativeLayout layouty>
void assign(unsigned int r,const Derivatives<Fy,dimD,1,deriv,layouty> &y)
{
deriv_[r].assign(r,y);
}
Block &block()
{
return reinterpret_cast<Block&>(*this);
}
const Block &block() const
{
return reinterpret_cast<const Block&>(*this);
}
ScalarDeriv &operator[](int r) {
return deriv_[r];
}
const ScalarDeriv &operator[](int r) const {
return deriv_[r];
}
protected:
Dune::FieldVector<ScalarDeriv,dimR> deriv_;
};
// ******************************************
// AXPY *************************************
// ******************************************
template <class Vec1,class Vec2,unsigned int deriv>
struct LFETensorAxpy
{
template <class Field>
static void apply(unsigned int r,const Field &a,
const Vec1 &x, Vec2 &y)
{
y.axpy(a,x);
}
};
template <class F1,int dimD,int dimR,
unsigned int d,
class Vec2,
unsigned int deriv>
struct LFETensorAxpy<Derivatives<F1,dimD,dimR,d,value>,Vec2,deriv>
{
typedef Derivatives<F1,dimD,dimR,d,value> Vec1;
template <class Field>
static void apply(unsigned int r,const Field &a,
const Vec1 &x, Vec2 &y)
{
const FieldVector<F1,Vec2::size> &xx = x.template block<deriv>();
for (int i=0; i<y.size; ++i)
y[i] += xx[i]*a;
}
};
template <class F1,int dimD,int dimR,
unsigned int d,
class Vec2,
unsigned int deriv>
struct LFETensorAxpy<Derivatives<F1,dimD,dimR,d,derivative>,Vec2,deriv>
{
typedef Derivatives<F1,dimD,dimR,d,derivative> Vec1;
template <class Field>
static void apply(unsigned int r,const Field &a,
const Vec1 &x, Vec2 &y)
{
for (int rr=0; rr<dimR; ++rr)
LFETensorAxpy<Derivatives<F1,dimD,1,d,value>,
Vec2,deriv>::apply(rr,a,x[rr],y);
}
};
template <class F1,int dimD,
unsigned int d,
class Vec2,
unsigned int deriv>
struct LFETensorAxpy<Derivatives<F1,dimD,1,d,derivative>,Vec2,deriv>
{
typedef Derivatives<F1,dimD,1,d,derivative> Vec1;
template <class Field>
static void apply(unsigned int r,const Field &a,
const Vec1 &x, Vec2 &y)
{
LFETensorAxpy<Derivatives<F1,dimD,1,d,value>,
Vec2,deriv>::apply(r,a,x[0],y);
}
};
template <class F1,int dimD,
unsigned int d,
class Vec2,
unsigned int deriv>
struct LFETensorAxpy<Derivatives<F1,dimD,1,d,value>,Vec2,deriv>
{
typedef Derivatives<F1,dimD,1,d,value> Vec1;
template <class Field>
static void apply(unsigned int r,const Field &a,
const Vec1 &x, Vec2 &y)
{
typedef LFETensor<F1,dimD,deriv> LFETensorType;
const unsigned int rr = r*LFETensorType::size;
const FieldVector<F1,LFETensorType::size> &xx = x.template block<deriv>();
for (int i=0; i<FieldVector<F1,LFETensorType::size>::dimension; ++i)
y[rr+i] += xx[i]*a;
}
};
// ***********************************************
// Assign ****************************************
// ***********************************************
template <class Vec1,class Vec2>
struct DerivativeAssign
{
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1,vec2);
}
};
template <int dimD,int dimR,unsigned int deriv, DerivativeLayout layout,
class F1,class F2>
struct DerivativeAssign<Derivatives<F1,dimD,dimR,deriv,layout>,
Derivatives<F2,dimD,dimR,deriv,layout> >
{
typedef Derivatives<F1,dimD,dimR,deriv,layout> Vec1;
typedef Derivatives<F2,dimD,dimR,deriv,layout> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1.block(),vec2.block());
}
};
template <int dimD,int dimR,unsigned int deriv,
class F1, class F2>
struct DerivativeAssign<Derivatives<F1,dimD,dimR,deriv,value>,
Derivatives<F2,dimD,dimR,deriv,derivative> >
{
typedef Derivatives<F1,dimD,dimR,deriv,value> Vec1;
typedef Derivatives<F2,dimD,dimR,deriv,derivative> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
vec2.assign(vec1);
}
};
template <int dimD,int dimR,unsigned int deriv,
class F1, class F2>
struct DerivativeAssign<Derivatives<F1,dimD,dimR,deriv,derivative>,
Derivatives<F2,dimD,dimR,deriv,value> >
{
typedef Derivatives<F1,dimD,dimR,deriv,derivative> Vec1;
typedef Derivatives<F2,dimD,dimR,deriv,value> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
vec2.assign(vec1);
}
};
template <int dimD,int dimR,unsigned int deriv,DerivativeLayout layout,
class F1, class F2>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,layout>,
Derivatives<F2,dimD,dimR,deriv,value> >
{
typedef Derivatives<F1,dimD,1,deriv,layout> Vec1;
typedef Derivatives<F2,dimD,dimR,deriv,value> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
vec2.assign(r,vec1);
}
};
template <int dimD,int dimR,unsigned int deriv,DerivativeLayout layout,
class F1, class F2>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,layout>,
Derivatives<F2,dimD,dimR,deriv,derivative> >
{
typedef Derivatives<F1,dimD,1,deriv,layout> Vec1;
typedef Derivatives<F2,dimD,dimR,deriv,derivative> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
vec2.assign(r,vec1);
}
};
template <int dimD,unsigned int deriv,
class F1, class F2>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,value>,
Derivatives<F2,dimD,1,deriv,value> >
{
typedef Derivatives<F1,dimD,1,deriv,value> Vec1;
typedef Derivatives<F2,dimD,1,deriv,value> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1.block(),vec2.block());
}
};
template <int dimD,unsigned int deriv,
class F1, class F2>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,derivative>,
Derivatives<F2,dimD,1,deriv,derivative> >
{
typedef Derivatives<F1,dimD,1,deriv,derivative> Vec1;
typedef Derivatives<F2,dimD,1,deriv,derivative> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1.block(),vec2.block());
}
};
template <int dimD,unsigned int deriv,
class F1, class F2>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,derivative>,
Derivatives<F2,dimD,1,deriv,value> >
{
typedef Derivatives<F1,dimD,1,deriv,derivative> Vec1;
typedef Derivatives<F2,dimD,1,deriv,value> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1.block(),vec2.block());
}
};
template <int dimD,unsigned int deriv,
class F1, class F2>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,value>,
Derivatives<F2,dimD,1,deriv,derivative> >
{
typedef Derivatives<F1,dimD,1,deriv,value> Vec1;
typedef Derivatives<F2,dimD,1,deriv,derivative> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1.block(),vec2.block());
}
};
template <int dimD,unsigned int deriv,DerivativeLayout layout,
class F1, class F2>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,layout>,
F2 >
{
typedef Derivatives<F1,dimD,1,deriv,layout> Vec1;
typedef F2 Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1.block(),vec2);
}
};
template <int dimD,int dimR,
class F1,unsigned int deriv,
class F2>
struct DerivativeAssign<Derivatives<F1,dimD,dimR,deriv,value>,FieldVector<F2,dimR> >
{
typedef Derivatives<F1,dimD,dimR,deriv,value> Vec1;
typedef FieldVector<F2,dimR> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1.template block<0>(),vec2);
}
};
template <int dimD,int dimR,
class F1,unsigned int deriv,
class F2>
struct DerivativeAssign<Derivatives<F1,dimD,dimR,deriv,derivative>,FieldVector<F2,dimR> >
{
typedef Derivatives<F1,dimD,dimR,deriv,derivative> Vec1;
typedef FieldVector<F2,dimR> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
for (int rr=0; rr<dimR; ++rr)
field_cast(vec1[rr].template tensor<0>()[0].block(),vec2[rr]);
}
};
template <int dimD,
class F1,unsigned int deriv,
class F2,int dimR>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,value>,FieldVector<F2,dimR> >
{
typedef Derivatives<F1,dimD,1,deriv,value> Vec1;
typedef FieldVector<F2,dimR> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1.template tensor<0>()[0].block(),vec2[r]);
}
};
template <int dimD,
class F1,unsigned int deriv,
class F2,int dimR>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,derivative>,FieldVector<F2,dimR> >
{
typedef Derivatives<F1,dimD,1,deriv,derivative> Vec1;
typedef FieldVector<F2,dimR> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1[0].template tensor<0>()[0].block(),vec2[r]);
}
};
template <int dimD,
class F1,unsigned int deriv,
class F2>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,value>,FieldVector<F2,1> >
{
typedef Derivatives<F1,dimD,1,deriv,value> Vec1;
typedef FieldVector<F2,1> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1.template tensor<0>()[0].block(),vec2);
}
};
template <int dimD,
class F1,unsigned int deriv,
class F2>
struct DerivativeAssign<Derivatives<F1,dimD,1,deriv,derivative>,FieldVector<F2,1> >
{
typedef Derivatives<F1,dimD,1,deriv,derivative> Vec1;
typedef FieldVector<F2,1> Vec2;
static void apply(unsigned int r,const Vec1 &vec1,Vec2 &vec2)
{
field_cast(vec1[0].template tensor<0>()[0].block(),vec2);
}
};
// ***********************************************
// IO ********************************************
// ***********************************************
template <class F,int dimD,unsigned int deriv>
std::ostream &operator<< ( std::ostream &out, const LFETensor< F,dimD,deriv > &tensor )
{
return out << tensor.block();
}
#if 0
template <class F,int dimD,unsigned int deriv>
std::ostream &operator<< ( std::ostream &out, const ScalarDerivatives< F,dimD,deriv > &d )
{
out << static_cast<const ScalarDerivatives< F,dimD,deriv-1 > &>(d);
out << " , " << d.tensor() << std::endl;
return out;
}
template <class F,int dimD>
std::ostream &operator<< ( std::ostream &out, const ScalarDerivatives< F,dimD,0 > &d )
{
out << d.tensor() << std::endl;
return out;
}
#endif
template <class F,int dimD,int dimR,unsigned int deriv>
std::ostream &operator<< ( std::ostream &out, const Derivatives< F,dimD,dimR,deriv,derivative > &d )
{
out << " ( ";
out << d[0];
for (int r=1; r<dimR; ++r)
{
out << " , " << d[r];
}
out << " ) " << std::endl;
return out;
}
template <class F,int dimD,int dimR,unsigned int deriv>
std::ostream &operator<< ( std::ostream &out, const Derivatives< F,dimD,dimR,deriv,value > &d )
{
out << static_cast<const Derivatives< F,dimD,dimR,deriv-1,value > &>(d);
out << " ( ";
out << d[0];
for (int r=1; r<dimR; ++r)
{
out << " , " << d[r];
}
out << " ) " << std::endl;
return out;
}
template <class F,int dimD,int dimR>
std::ostream &operator<< ( std::ostream &out, const Derivatives< F,dimD,dimR,0,derivative > &d )
{
out << " ( ";
out << d[0];
for (int r=1; r<dimR; ++r)
{
out << " , " << d[r];
}
out << " ) " << std::endl;
return out;
}
template <class F,int dimD,int dimR>
std::ostream &operator<< ( std::ostream &out, const Derivatives< F,dimD,dimR,0,value > &d )
{
out << " ( ";
out << d[0];
for (int r=1; r<dimR; ++r)
{
out << " , " << d[r];
}
out << " ) " << std::endl;
return out;
}
template <class F,int dimD,int dimR,unsigned int deriv,DerivativeLayout layout>
std::ostream &operator<< ( std::ostream &out, const std::vector<Derivatives< F,dimD,dimR,deriv,layout > > &y )
{
out << "Number of basis functions: " << y.size() << std::endl;
for (unsigned int i=0; i<y.size(); ++i)
{
out << "Base " << i << " : " << std::endl;
out << y[i];
out << std::endl;
}
return out;
}
}
#endif // DUNE_TENSOR_HH
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