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========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2016-2023 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
This file is part of OpenFOAM.
OpenFOAM 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 of the License, or
(at your option) any later version.
OpenFOAM 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 OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
\*---------------------------------------------------------------------------*/
#include <type_traits>
// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::MatrixSpace()
{}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::MatrixSpace
(
const Foam::zero
)
:
MatrixSpace::vsType(Zero)
{}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class Form2, class Cmpt2>
inline Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::MatrixSpace
(
const VectorSpace<Form2, Cmpt2, Mrows*Ncols>& vs
)
:
MatrixSpace::vsType(vs)
{}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template
<
template<class, Foam::direction, Foam::direction> class Block2,
Foam::direction BRowStart,
Foam::direction BColStart
>
inline Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::MatrixSpace
(
const Block2<Form, BRowStart, BColStart>& block
)
{
for (direction i=0; i<Mrows; ++i)
{
for (direction j=0; j<Ncols; ++j)
{
operator()(i, j) = block(i, j);
}
}
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::MatrixSpace(Istream& is)
:
MatrixSpace::vsType(is)
{}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class SubTensor, Foam::direction BRowStart, Foam::direction BColStart>
inline Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::
ConstBlock<SubTensor, BRowStart, BColStart>::
ConstBlock(const msType& matrix)
:
matrix_(matrix)
{
static_assert
(
msType::mRows >= BRowStart + mRows,
"Rows in block > rows in matrix"
);
static_assert
(
msType::nCols >= BColStart + nCols,
"Columns in block > columns in matrix"
);
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class SubTensor, Foam::direction BRowStart, Foam::direction BColStart>
inline Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::
Block<SubTensor, BRowStart, BColStart>::
Block(msType& matrix)
:
matrix_(matrix)
{
static_assert
(
msType::mRows >= BRowStart + mRows,
"Rows in block > rows in matrix"
);
static_assert
(
msType::nCols >= BColStart + nCols,
"Columns in block > columns in matrix"
);
}
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<Foam::direction Row, Foam::direction Col>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::elmt() const
{
static_assert(Row < Mrows && Col < Ncols, "Address outside matrix");
return this->v_[Row*Ncols + Col];
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<Foam::direction Row, Foam::direction Col>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::elmt()
{
static_assert(Row < Mrows && Col < Ncols, "Address outside matrix");
return this->v_[Row*Ncols + Col];
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::xx() const
{
return elmt<0, 0>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::xx()
{
return elmt<0, 0>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::xy() const
{
return elmt<0,1>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::xy()
{
return elmt<0,1>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::xz() const
{
return elmt<0,2>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::xz()
{
return elmt<0,2>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::yx() const
{
return elmt<1,0>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::yx()
{
return elmt<1,0>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::yy() const
{
return elmt<1,1>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::yy()
{
return elmt<1,1>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::yz() const
{
return elmt<1,2>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::yz()
{
return elmt<1,2>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::zx() const
{
return elmt<2,0>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::zx()
{
return elmt<2,0>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::zy() const
{
return elmt<2,1>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::zy()
{
return elmt<2,1>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::zz() const
{
return elmt<2,2>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::zz()
{
return elmt<2,2>();
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::identityMap()
{
static_assert(Mrows == Ncols, "Matrix is not square");
msType result(Zero);
for (direction i=0; i<Ncols; ++i)
{
result(i, i) = 1;
}
return result;
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline typename Foam::typeOfTranspose<Cmpt, Form>::type
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::T() const
{
typename typeOfTranspose<Cmpt, Form>::type result;
for (direction i=0; i<Mrows; ++i)
{
for (direction j=0; j<Ncols; ++j)
{
result(j,i) = operator()(i, j);
}
}
return result;
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template
<
class SubTensor,
Foam::direction BRowStart,
Foam::direction BColStart
>
inline typename Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::template
ConstBlock<SubTensor, BRowStart, BColStart>
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::block() const
{
return *this;
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template
<
class SubTensor,
Foam::direction BRowStart,
Foam::direction BColStart
>
inline
typename Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::template
Block<SubTensor, BRowStart, BColStart>
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::block()
{
return *this;
}
// * * * * * * * * * * * * * * * Member Operators * * * * * * * * * * * * * //
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::operator()
(
const direction& i,
const direction& j
) const
{
#ifdef FULLDEBUG
if (i > Mrows-1 || j > Ncols-1)
{
FatalErrorInFunction
<< "indices out of range"
<< abort(FatalError);
}
#endif
return this->v_[i*Ncols + j];
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::operator()
(
const direction& i,
const direction& j
)
{
#ifdef FULLDEBUG
if (i > Mrows-1 || j > Ncols-1)
{
FatalErrorInFunction
<< "indices out of range"
<< abort(FatalError);
}
#endif
return this->v_[i*Ncols + j];
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class SubTensor, Foam::direction BRowStart, Foam::direction BColStart>
inline SubTensor
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::
ConstBlock<SubTensor, BRowStart, BColStart>::
operator()() const
{
return *this;
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class SubTensor, Foam::direction BRowStart, Foam::direction BColStart>
inline const Cmpt&
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::
ConstBlock<SubTensor, BRowStart, BColStart>::
operator()(const direction i, const direction j) const
{
return matrix_(BRowStart + i, BColStart + j);
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class SubTensor, Foam::direction BRowStart, Foam::direction BColStart>
inline SubTensor
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::
Block<SubTensor, BRowStart, BColStart>::
operator()() const
{
SubTensor st;
for (direction i=0; i<SubTensor::mRows; ++i)
{
for (direction j=0; j<SubTensor::nCols; ++j)
{
st[i*SubTensor::nCols + j] = operator()(i, j);
}
}
return st;
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class SubTensor, Foam::direction BRowStart, Foam::direction BColStart>
inline const Cmpt&
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::
Block<SubTensor, BRowStart, BColStart>::
operator()(const direction i, const direction j) const
{
return matrix_(BRowStart + i, BColStart + j);
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class SubTensor, Foam::direction BRowStart, Foam::direction BColStart>
inline Cmpt&
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::
Block<SubTensor, BRowStart, BColStart>::
operator()(const direction i, const direction j)
{
return matrix_(BRowStart + i, BColStart + j);
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
inline void Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::operator=
(
const Foam::zero
)
{
MatrixSpace::vsType::operator=(Zero);
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class Form2>
inline void Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::operator&=
(
const MatrixSpace<Form, Cmpt, Ncols, Ncols>& matrix
)
{
*this = *this & matrix;
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template
<
template<class, Foam::direction, Foam::direction> class Block2,
Foam::direction BRowStart,
Foam::direction BColStart
>
inline void Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::operator=
(
const Block2<Form, BRowStart, BColStart>& block
)
{
for (direction i = 0; i < Mrows; ++i)
{
for (direction j = 0; j < Ncols; ++j)
{
operator()(i, j) = block(i, j);
}
}
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class SubTensor, Foam::direction BRowStart, Foam::direction BColStart>
template<class Form2>
inline void
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::
Block<SubTensor, BRowStart, BColStart>::
operator=
(
const MatrixSpace<Form2, Cmpt, SubTensor::mRows, SubTensor::nCols>& matrix
)
{
for (direction i=0; i<mRows; ++i)
{
for (direction j=0; j<nCols; ++j)
{
operator()(i,j) = matrix(i,j);
}
}
}
template<class Form, class Cmpt, Foam::direction Mrows, Foam::direction Ncols>
template<class SubTensor, Foam::direction BRowStart, Foam::direction BColStart>
template<class VSForm>
inline void
Foam::MatrixSpace<Form, Cmpt, Mrows, Ncols>::
Block<SubTensor, BRowStart, BColStart>::
operator=
(
const VectorSpace<VSForm, Cmpt, SubTensor::mRows>& v
)
{
static_assert(nCols == 1, "Matrix must have a single column");
for (direction i=0; i<SubTensor::mRows; ++i)
{
operator()(i,0) = v[i];
}
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
namespace Foam
{
// * * * * * * * * * * * * * * * Friend Functions * * * * * * * * * * * * * //
template<class Form, class Cmpt, direction Mrows, direction Ncols>
inline typename typeOfTranspose<Cmpt, Form>::type T
(
const MatrixSpace<Form, Cmpt, Ncols, Mrows>& matrix
)
{
return matrix.T();
}
template<class Form, class Cmpt, direction Ncmpts>
inline typename typeOfTranspose<Cmpt, Form>::type T
(
const VectorSpace<Form, Cmpt, Ncmpts>& v
)
{
typename typeOfTranspose<Cmpt, Form>::type result;
for (direction i=0; i<Ncmpts; ++i)
{
result[i] = v[i];
}
return result;
}
// * * * * * * * * * * * * * * * Friend Operators * * * * * * * * * * * * * //
template
<
class Form1,
class Form2,
class Cmpt,
direction Mrows1,
direction Ncols1,
direction Mrows2,
direction Ncols2
>
inline typename typeOfInnerProduct<Cmpt, Form1, Form2>::type operator&
(
const MatrixSpace<Form1, Cmpt, Mrows1, Ncols1>& matrix1,
const MatrixSpace<Form2, Cmpt, Mrows2, Ncols2>& matrix2
)
{
static_assert
(
Ncols1 == Mrows2,
"Number of columns in matrix 1 != number of rows in matrix 2"
);
typename typeOfInnerProduct<Cmpt, Form1, Form2>::type result(Zero);
for (direction i=0; i<Mrows1; ++i)
{
for (direction j=0; j<Ncols2; ++j)
{
for (direction k=0; k<Mrows2; k++)
{
result(i, j) += matrix1(i, k)*matrix2(k, j);
}
}
}
return result;
}
template<class Form, class VSForm, class Cmpt, direction Mrows, direction Ncols>
inline typename typeOfInnerProduct<Cmpt, Form, VSForm>::type operator&
(
const MatrixSpace<Form, Cmpt, Mrows, Ncols>& matrix,
const VectorSpace<VSForm, Cmpt, Ncols>& v
)
{
typename typeOfInnerProduct<Cmpt, Form, VSForm>::type result(Zero);
for (direction i=0; i<Mrows; ++i)
{
for (direction j=0; j<Ncols; ++j)
{
result[i] += matrix(i, j)*v[j];
}
}
return result;
}
template
<
class Form1,
class Form2,
class Cmpt,
direction Ncmpts1,
direction Ncmpts2
>
inline typename typeOfOuterProduct<Cmpt, Form1, Form2>::type operator*
(
const VectorSpace<Form1, Cmpt, Ncmpts1>& v1,
const VectorSpace<Form2, Cmpt, Ncmpts2>& v2
)
{
typename typeOfOuterProduct<Cmpt, Form1, Form2>::type result;
for (direction i=0; i<Ncmpts1; ++i)
{
for (direction j=0; j<Ncmpts2; ++j)
{
result(i, j) = v1[i]*v2[j];
}
}
return result;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
} // End namespace Foam
// ************************************************************************* //
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