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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2009 Gael Guennebaud <g.gael@free.fr>
//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, 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 2 of
// the License, or (at your option) any later version.
//
// Eigen 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 Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.
#ifndef EIGEN_BANDMATRIX_H
#define EIGEN_BANDMATRIX_H
/** \nonstableyet
* \class BandMatrix
*
* \brief
*
* \param
*
* \sa
*/
template<typename _Scalar, int Size, int Supers, int Subs, int Options>
struct ei_traits<BandMatrix<_Scalar,Size,Supers,Subs,Options> >
{
typedef _Scalar Scalar;
enum {
CoeffReadCost = NumTraits<Scalar>::ReadCost,
RowsAtCompileTime = Size,
ColsAtCompileTime = Size,
MaxRowsAtCompileTime = Size,
MaxColsAtCompileTime = Size,
Flags = 0
};
};
template<typename _Scalar, int Size, int Supers, int Subs, int Options>
class BandMatrix : public MultiplierBase<BandMatrix<_Scalar,Supers,Subs,Options> >
{
public:
enum {
Flags = ei_traits<BandMatrix>::Flags,
CoeffReadCost = ei_traits<BandMatrix>::CoeffReadCost,
RowsAtCompileTime = ei_traits<BandMatrix>::RowsAtCompileTime,
ColsAtCompileTime = ei_traits<BandMatrix>::ColsAtCompileTime,
MaxRowsAtCompileTime = ei_traits<BandMatrix>::MaxRowsAtCompileTime,
MaxColsAtCompileTime = ei_traits<BandMatrix>::MaxColsAtCompileTime
};
typedef typename ei_traits<BandMatrix>::Scalar Scalar;
typedef Matrix<Scalar,RowsAtCompileTime,ColsAtCompileTime> PlainMatrixType;
protected:
enum {
DataSizeAtCompileTime = ((Size!=Dynamic) && (Supers!=Dynamic) && (Subs!=Dynamic))
? Size*(Supers+Subs+1) - (Supers*Supers+Subs*Subs)/2
: Dynamic
};
typedef Matrix<Scalar,DataSizeAtCompileTime,1> DataType;
public:
// inline BandMatrix() { }
inline BandMatrix(int size=Size, int supers=Supers, int subs=Subs)
: m_data(size*(supers+subs+1) - (supers*supers+subs*subs)/2),
m_size(size), m_supers(supers), m_subs(subs)
{ }
inline int rows() const { return m_size.value(); }
inline int cols() const { return m_size.value(); }
inline int supers() const { return m_supers.value(); }
inline int subs() const { return m_subs.value(); }
inline VectorBlock<DataType,Size> diagonal()
{ return VectorBlock<DataType,Size>(m_data,0,m_size.value()); }
inline const VectorBlock<DataType,Size> diagonal() const
{ return VectorBlock<DataType,Size>(m_data,0,m_size.value()); }
template<int Index>
VectorBlock<DataType,Size==Dynamic?Dynamic:Size-(Index<0?-Index:Index)>
diagonal()
{
return VectorBlock<DataType,Size==Dynamic?Dynamic:Size-(Index<0?-Index:Index)>
(m_data,Index<0 ? subDiagIndex(-Index) : superDiagIndex(Index), m_size.value()-ei_abs(Index));
}
template<int Index>
const VectorBlock<DataType,Size==Dynamic?Dynamic:Size-(Index<0?-Index:Index)>
diagonal() const
{
return VectorBlock<DataType,Size==Dynamic?Dynamic:Size-(Index<0?-Index:Index)>
(m_data,Index<0 ? subDiagIndex(-Index) : superDiagIndex(Index), m_size.value()-ei_abs(Index));
}
inline VectorBlock<DataType,Dynamic> diagonal(int index)
{
ei_assert((index<0 && -index<=subs()) || (index>=0 && index<=supers()));
return VectorBlock<DataType,Dynamic>(m_data,
index<0 ? subDiagIndex(-index) : superDiagIndex(index), m_size.value()-ei_abs(index));
}
const VectorBlock<DataType,Dynamic> diagonal(int index) const
{
ei_assert((index<0 && -index<=subs()) || (index>=0 && index<=supers()));
return VectorBlock<DataType,Dynamic>(m_data,
index<0 ? subDiagIndex(-index) : superDiagIndex(index), m_size.value()-ei_abs(index));
}
// inline VectorBlock<DataType,Size> subDiagonal()
// { return VectorBlock<DataType,Size>(m_data,0,m_size.value()); }
PlainMatrixType toDense() const
{
PlainMatrixType res(rows(),cols());
res.setZero();
res.diagonal() = diagonal();
for (int i=1; i<=supers();++i)
res.diagonal(i) = diagonal(i);
for (int i=1; i<=subs();++i)
res.diagonal(-i) = diagonal(-i);
return res;
}
protected:
inline int subDiagIndex(int i) const
{ return m_size.value()*(m_supers.value()+i)-(ei_abs2(i-1) + ei_abs2(m_supers.value()))/2; }
inline int superDiagIndex(int i) const
{ return m_size.value()*i-ei_abs2(i-1)/2; }
DataType m_data;
ei_int_if_dynamic<Size> m_size;
ei_int_if_dynamic<Supers> m_supers;
ei_int_if_dynamic<Subs> m_subs;
};
#endif // EIGEN_BANDMATRIX_H
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