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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.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_TRIANGULARMATRIXVECTOR_H
#define EIGEN_TRIANGULARMATRIXVECTOR_H
template<bool LhsIsTriangular, typename Lhs, typename Rhs, typename Result,
int Mode, bool ConjLhs, bool ConjRhs, int StorageOrder>
struct ei_product_triangular_vector_selector;
template<typename Lhs, typename Rhs, typename Result, int Mode, bool ConjLhs, bool ConjRhs, int StorageOrder>
struct ei_product_triangular_vector_selector<false,Lhs,Rhs,Result,Mode,ConjLhs,ConjRhs,StorageOrder>
{
static EIGEN_DONT_INLINE void run(const Lhs& lhs, const Rhs& rhs, Result& res, typename ei_traits<Lhs>::Scalar alpha)
{
typedef Transpose<Rhs> TrRhs; TrRhs trRhs(rhs);
typedef Transpose<Lhs> TrLhs; TrLhs trLhs(lhs);
typedef Transpose<Result> TrRes; TrRes trRes(res);
ei_product_triangular_vector_selector<true,TrRhs,TrLhs,TrRes,
(Mode & UnitDiag) | (Mode & Lower) ? Upper : Lower, ConjRhs, ConjLhs, StorageOrder==RowMajor ? ColMajor : RowMajor>
::run(trRhs,trLhs,trRes,alpha);
}
};
template<typename Lhs, typename Rhs, typename Result, int Mode, bool ConjLhs, bool ConjRhs>
struct ei_product_triangular_vector_selector<true,Lhs,Rhs,Result,Mode,ConjLhs,ConjRhs,ColMajor>
{
typedef typename Rhs::Scalar Scalar;
typedef typename Rhs::Index Index;
enum {
IsLower = ((Mode&Lower)==Lower),
HasUnitDiag = (Mode & UnitDiag)==UnitDiag
};
static EIGEN_DONT_INLINE void run(const Lhs& lhs, const Rhs& rhs, Result& res, typename ei_traits<Lhs>::Scalar alpha)
{
static const Index PanelWidth = EIGEN_TUNE_TRIANGULAR_PANEL_WIDTH;
typename ei_conj_expr_if<ConjLhs,Lhs>::ret cjLhs(lhs);
typename ei_conj_expr_if<ConjRhs,Rhs>::ret cjRhs(rhs);
Index size = lhs.cols();
for (Index pi=0; pi<size; pi+=PanelWidth)
{
Index actualPanelWidth = std::min(PanelWidth, size-pi);
for (Index k=0; k<actualPanelWidth; ++k)
{
Index i = pi + k;
Index s = IsLower ? (HasUnitDiag ? i+1 : i ) : pi;
Index r = IsLower ? actualPanelWidth-k : k+1;
if ((!HasUnitDiag) || (--r)>0)
res.segment(s,r) += (alpha * cjRhs.coeff(i)) * cjLhs.col(i).segment(s,r);
if (HasUnitDiag)
res.coeffRef(i) += alpha * cjRhs.coeff(i);
}
Index r = IsLower ? size - pi - actualPanelWidth : pi;
if (r>0)
{
Index s = IsLower ? pi+actualPanelWidth : 0;
ei_general_matrix_vector_product<Index,Scalar,ColMajor,ConjLhs,Scalar,ConjRhs>::run(
r, actualPanelWidth,
&(lhs.const_cast_derived().coeffRef(s,pi)), lhs.outerStride(),
&rhs.coeff(pi), rhs.innerStride(),
&res.coeffRef(s), res.innerStride(), alpha);
}
}
}
};
template<typename Lhs, typename Rhs, typename Result, int Mode, bool ConjLhs, bool ConjRhs>
struct ei_product_triangular_vector_selector<true,Lhs,Rhs,Result,Mode,ConjLhs,ConjRhs,RowMajor>
{
typedef typename Rhs::Scalar Scalar;
typedef typename Rhs::Index Index;
enum {
IsLower = ((Mode&Lower)==Lower),
HasUnitDiag = (Mode & UnitDiag)==UnitDiag
};
static void run(const Lhs& lhs, const Rhs& rhs, Result& res, typename ei_traits<Lhs>::Scalar alpha)
{
static const Index PanelWidth = EIGEN_TUNE_TRIANGULAR_PANEL_WIDTH;
typename ei_conj_expr_if<ConjLhs,Lhs>::ret cjLhs(lhs);
typename ei_conj_expr_if<ConjRhs,Rhs>::ret cjRhs(rhs);
Index size = lhs.cols();
for (Index pi=0; pi<size; pi+=PanelWidth)
{
Index actualPanelWidth = std::min(PanelWidth, size-pi);
for (Index k=0; k<actualPanelWidth; ++k)
{
Index i = pi + k;
Index s = IsLower ? pi : (HasUnitDiag ? i+1 : i);
Index r = IsLower ? k+1 : actualPanelWidth-k;
if ((!HasUnitDiag) || (--r)>0)
res.coeffRef(i) += alpha * (cjLhs.row(i).segment(s,r).cwiseProduct(cjRhs.segment(s,r).transpose())).sum();
if (HasUnitDiag)
res.coeffRef(i) += alpha * cjRhs.coeff(i);
}
Index r = IsLower ? pi : size - pi - actualPanelWidth;
if (r>0)
{
Index s = IsLower ? 0 : pi + actualPanelWidth;
ei_general_matrix_vector_product<Index,Scalar,RowMajor,ConjLhs,Scalar,ConjRhs>::run(
actualPanelWidth, r,
&(lhs.const_cast_derived().coeffRef(pi,s)), lhs.outerStride(),
&(rhs.const_cast_derived().coeffRef(s)), 1,
&res.coeffRef(pi,0), res.innerStride(), alpha);
}
}
}
};
/***************************************************************************
* Wrapper to ei_product_triangular_vector
***************************************************************************/
template<int Mode, bool LhsIsTriangular, typename Lhs, typename Rhs>
struct ei_traits<TriangularProduct<Mode,LhsIsTriangular,Lhs,false,Rhs,true> >
: ei_traits<ProductBase<TriangularProduct<Mode,LhsIsTriangular,Lhs,false,Rhs,true>, Lhs, Rhs> >
{};
template<int Mode, bool LhsIsTriangular, typename Lhs, typename Rhs>
struct ei_traits<TriangularProduct<Mode,LhsIsTriangular,Lhs,true,Rhs,false> >
: ei_traits<ProductBase<TriangularProduct<Mode,LhsIsTriangular,Lhs,true,Rhs,false>, Lhs, Rhs> >
{};
template<int Mode, typename Lhs, typename Rhs>
struct TriangularProduct<Mode,true,Lhs,false,Rhs,true>
: public ProductBase<TriangularProduct<Mode,true,Lhs,false,Rhs,true>, Lhs, Rhs >
{
EIGEN_PRODUCT_PUBLIC_INTERFACE(TriangularProduct)
TriangularProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs) {}
template<typename Dest> void scaleAndAddTo(Dest& dst, Scalar alpha) const
{
ei_assert(dst.rows()==m_lhs.rows() && dst.cols()==m_rhs.cols());
const ActualLhsType lhs = LhsBlasTraits::extract(m_lhs);
const ActualRhsType rhs = RhsBlasTraits::extract(m_rhs);
Scalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(m_lhs)
* RhsBlasTraits::extractScalarFactor(m_rhs);
ei_product_triangular_vector_selector
<true,_ActualLhsType,_ActualRhsType,Dest,
Mode,
LhsBlasTraits::NeedToConjugate,
RhsBlasTraits::NeedToConjugate,
(int(ei_traits<Lhs>::Flags)&RowMajorBit) ? RowMajor : ColMajor>
::run(lhs,rhs,dst,actualAlpha);
}
};
template<int Mode, typename Lhs, typename Rhs>
struct TriangularProduct<Mode,false,Lhs,true,Rhs,false>
: public ProductBase<TriangularProduct<Mode,false,Lhs,true,Rhs,false>, Lhs, Rhs >
{
EIGEN_PRODUCT_PUBLIC_INTERFACE(TriangularProduct)
TriangularProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs) {}
template<typename Dest> void scaleAndAddTo(Dest& dst, Scalar alpha) const
{
ei_assert(dst.rows()==m_lhs.rows() && dst.cols()==m_rhs.cols());
const ActualLhsType lhs = LhsBlasTraits::extract(m_lhs);
const ActualRhsType rhs = RhsBlasTraits::extract(m_rhs);
Scalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(m_lhs)
* RhsBlasTraits::extractScalarFactor(m_rhs);
ei_product_triangular_vector_selector
<false,_ActualLhsType,_ActualRhsType,Dest,
Mode,
LhsBlasTraits::NeedToConjugate,
RhsBlasTraits::NeedToConjugate,
(int(ei_traits<Rhs>::Flags)&RowMajorBit) ? RowMajor : ColMajor>
::run(lhs,rhs,dst,actualAlpha);
}
};
#endif // EIGEN_TRIANGULARMATRIXVECTOR_H
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