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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2012 Chen-Pang He <jdh8@ms63.hinet.net>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#ifndef STORMEIGEN_PACKED_TRIANGULAR_MATRIX_VECTOR_H
#define STORMEIGEN_PACKED_TRIANGULAR_MATRIX_VECTOR_H
namespace internal {
template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs, int StorageOrder>struct packed_triangular_matrix_vector_product;
template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs>struct packed_triangular_matrix_vector_product<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,ColMajor>{ typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar; enum { IsLower = (Mode & Lower) ==Lower, HasUnitDiag = (Mode & UnitDiag)==UnitDiag, HasZeroDiag = (Mode & ZeroDiag)==ZeroDiag }; static void run(Index size, const LhsScalar* lhs, const RhsScalar* rhs, ResScalar* res, ResScalar alpha) { internal::conj_if<ConjRhs> cj; typedef Map<const Matrix<LhsScalar,Dynamic,1> > LhsMap; typedef typename conj_expr_if<ConjLhs,LhsMap>::type ConjLhsType; typedef Map<Matrix<ResScalar,Dynamic,1> > ResMap;
for (Index i=0; i<size; ++i) { Index s = IsLower&&(HasUnitDiag||HasZeroDiag) ? 1 : 0; Index r = IsLower ? size-i: i+1; if (STORMEIGEN_IMPLIES(HasUnitDiag||HasZeroDiag, (--r)>0)) ResMap(res+(IsLower ? s+i : 0),r) += alpha * cj(rhs[i]) * ConjLhsType(LhsMap(lhs+s,r)); if (HasUnitDiag) res[i] += alpha * cj(rhs[i]); lhs += IsLower ? size-i: i+1; } };};
template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs>struct packed_triangular_matrix_vector_product<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,RowMajor>{ typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar; enum { IsLower = (Mode & Lower) ==Lower, HasUnitDiag = (Mode & UnitDiag)==UnitDiag, HasZeroDiag = (Mode & ZeroDiag)==ZeroDiag }; static void run(Index size, const LhsScalar* lhs, const RhsScalar* rhs, ResScalar* res, ResScalar alpha) { internal::conj_if<ConjRhs> cj; typedef Map<const Matrix<LhsScalar,Dynamic,1> > LhsMap; typedef typename conj_expr_if<ConjLhs,LhsMap>::type ConjLhsType; typedef Map<const Matrix<RhsScalar,Dynamic,1> > RhsMap; typedef typename conj_expr_if<ConjRhs,RhsMap>::type ConjRhsType;
for (Index i=0; i<size; ++i) { Index s = !IsLower&&(HasUnitDiag||HasZeroDiag) ? 1 : 0; Index r = IsLower ? i+1 : size-i; if (STORMEIGEN_IMPLIES(HasUnitDiag||HasZeroDiag, (--r)>0)) res[i] += alpha * (ConjLhsType(LhsMap(lhs+s,r)).cwiseProduct(ConjRhsType(RhsMap(rhs+(IsLower ? 0 : s+i),r)))).sum(); if (HasUnitDiag) res[i] += alpha * cj(rhs[i]); lhs += IsLower ? i+1 : size-i; } };};
} // end namespace internal
#endif // STORMEIGEN_PACKED_TRIANGULAR_MATRIX_VECTOR_H
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